Properties

Label 552.2.t.a.235.4
Level $552$
Weight $2$
Character 552.235
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [552,2,Mod(19,552)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(552, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("552.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), 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: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 235.4
Character \(\chi\) \(=\) 552.235
Dual form 552.2.t.a.451.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.29729 - 0.563056i) q^{2} +(0.654861 - 0.755750i) q^{3} +(1.36593 + 1.46090i) q^{4} +(0.355055 - 2.46946i) q^{5} +(-1.27508 + 0.611705i) q^{6} +(-0.661764 - 1.44906i) q^{7} +(-0.949449 - 2.66431i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\) \(q+(-1.29729 - 0.563056i) q^{2} +(0.654861 - 0.755750i) q^{3} +(1.36593 + 1.46090i) q^{4} +(0.355055 - 2.46946i) q^{5} +(-1.27508 + 0.611705i) q^{6} +(-0.661764 - 1.44906i) q^{7} +(-0.949449 - 2.66431i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(-1.85106 + 3.00370i) q^{10} +(-0.328891 - 1.12010i) q^{11} +(1.99857 - 0.0756203i) q^{12} +(-3.21886 - 1.47000i) q^{13} +(0.0425983 + 2.25246i) q^{14} +(-1.63378 - 1.88549i) q^{15} +(-0.268443 + 3.99098i) q^{16} +(-0.248908 - 0.387309i) q^{17} +(-0.372701 + 1.36422i) q^{18} +(-3.28099 + 5.10531i) q^{19} +(4.09261 - 2.85442i) q^{20} +(-1.52849 - 0.448805i) q^{21} +(-0.204012 + 1.63828i) q^{22} +(4.16216 - 2.38252i) q^{23} +(-2.63531 - 1.02721i) q^{24} +(-1.17471 - 0.344926i) q^{25} +(3.34810 + 3.71942i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(1.21300 - 2.94609i) q^{28} +(-3.40681 - 5.30111i) q^{29} +(1.05786 + 3.36594i) q^{30} +(-0.449612 + 0.389591i) q^{31} +(2.59540 - 5.02632i) q^{32} +(-1.06189 - 0.484951i) q^{33} +(0.104830 + 0.642602i) q^{34} +(-3.81336 + 1.11970i) q^{35} +(1.25163 - 1.55994i) q^{36} +(0.0548572 + 0.381540i) q^{37} +(7.13098 - 4.77570i) q^{38} +(-3.21886 + 1.47000i) q^{39} +(-6.91652 + 1.39865i) q^{40} +(-0.738033 + 5.13313i) q^{41} +(1.73020 + 1.44286i) q^{42} +(2.16580 + 1.87668i) q^{43} +(1.18711 - 2.01046i) q^{44} -2.49486 q^{45} +(-6.74104 + 0.747291i) q^{46} -0.152392i q^{47} +(2.84039 + 2.81641i) q^{48} +(2.92218 - 3.37238i) q^{49} +(1.32973 + 1.10890i) q^{50} +(-0.455709 - 0.0655210i) q^{51} +(-2.24922 - 6.71035i) q^{52} +(-3.00967 - 6.59027i) q^{53} +(0.786941 + 1.17504i) q^{54} +(-2.88282 + 0.414487i) q^{55} +(-3.23243 + 3.13895i) q^{56} +(1.70975 + 5.82287i) q^{57} +(1.43481 + 8.79531i) q^{58} +(0.844965 - 1.85022i) q^{59} +(0.522861 - 4.96224i) q^{60} +(-6.17484 - 7.12615i) q^{61} +(0.802641 - 0.252257i) q^{62} +(-1.34013 + 0.861251i) q^{63} +(-6.19709 + 5.05925i) q^{64} +(-4.77298 + 7.42691i) q^{65} +(1.10453 + 1.22703i) q^{66} +(0.430258 - 1.46532i) q^{67} +(0.225826 - 0.892668i) q^{68} +(0.925049 - 4.70577i) q^{69} +(5.57750 + 0.694554i) q^{70} +(-0.422371 + 1.43846i) q^{71} +(-2.50207 + 1.31896i) q^{72} +(-9.07676 - 5.83328i) q^{73} +(0.143663 - 0.525857i) q^{74} +(-1.02995 + 0.661908i) q^{75} +(-11.9400 + 2.18034i) q^{76} +(-1.40545 + 1.21783i) q^{77} +(5.00349 - 0.0946252i) q^{78} +(-3.40708 + 7.46047i) q^{79} +(9.76026 + 2.07993i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(3.84769 - 6.24362i) q^{82} +(4.37321 - 0.628773i) q^{83} +(-1.43216 - 2.84601i) q^{84} +(-1.04482 + 0.477153i) q^{85} +(-1.75300 - 3.65406i) q^{86} +(-6.23730 - 0.896788i) q^{87} +(-2.67203 + 1.93975i) q^{88} +(-2.04054 - 1.76814i) q^{89} +(3.23656 + 1.40474i) q^{90} +5.63711i q^{91} +(9.16586 + 2.82613i) q^{92} +0.594922i q^{93} +(-0.0858055 + 0.197698i) q^{94} +(11.4424 + 9.91493i) q^{95} +(-2.09902 - 5.25301i) q^{96} +(10.0554 + 1.44575i) q^{97} +(-5.68976 + 2.72961i) q^{98} +(-1.06189 + 0.484951i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9} + 4 q^{12} - 4 q^{16} + 44 q^{17} - 55 q^{20} - 24 q^{25} + 24 q^{27} + 33 q^{34} + 7 q^{36} - 132 q^{38} + 11 q^{40} - 66 q^{42} + 77 q^{44} + 37 q^{48} - 56 q^{49} - 37 q^{50} - 55 q^{52} - 11 q^{54} + 132 q^{56} + 37 q^{58} + 11 q^{60} + 51 q^{62} - 4 q^{64} - 55 q^{66} - 132 q^{70} + 144 q^{73} + 44 q^{74} + 24 q^{75} - 55 q^{76} - 198 q^{80} - 24 q^{81} - 26 q^{82} + 44 q^{84} - 110 q^{86} + 22 q^{88} - 139 q^{92} - 117 q^{94} - 209 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{1}{22}\right)\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29729 0.563056i −0.917324 0.398141i
\(3\) 0.654861 0.755750i 0.378084 0.436332i
\(4\) 1.36593 + 1.46090i 0.682967 + 0.730449i
\(5\) 0.355055 2.46946i 0.158785 1.10438i −0.742090 0.670300i \(-0.766166\pi\)
0.900876 0.434077i \(-0.142925\pi\)
\(6\) −1.27508 + 0.611705i −0.520547 + 0.249727i
\(7\) −0.661764 1.44906i −0.250123 0.547693i 0.742370 0.669990i \(-0.233701\pi\)
−0.992494 + 0.122296i \(0.960974\pi\)
\(8\) −0.949449 2.66431i −0.335681 0.941976i
\(9\) −0.142315 0.989821i −0.0474383 0.329940i
\(10\) −1.85106 + 3.00370i −0.585355 + 0.949852i
\(11\) −0.328891 1.12010i −0.0991645 0.337723i 0.894935 0.446197i \(-0.147222\pi\)
−0.994099 + 0.108474i \(0.965404\pi\)
\(12\) 1.99857 0.0756203i 0.576937 0.0218297i
\(13\) −3.21886 1.47000i −0.892750 0.407705i −0.0844167 0.996431i \(-0.526903\pi\)
−0.808333 + 0.588725i \(0.799630\pi\)
\(14\) 0.0425983 + 2.25246i 0.0113849 + 0.601997i
\(15\) −1.63378 1.88549i −0.421841 0.486830i
\(16\) −0.268443 + 3.99098i −0.0671108 + 0.997746i
\(17\) −0.248908 0.387309i −0.0603691 0.0939362i 0.809757 0.586766i \(-0.199599\pi\)
−0.870126 + 0.492829i \(0.835963\pi\)
\(18\) −0.372701 + 1.36422i −0.0878466 + 0.321550i
\(19\) −3.28099 + 5.10531i −0.752710 + 1.17124i 0.227597 + 0.973756i \(0.426913\pi\)
−0.980306 + 0.197484i \(0.936723\pi\)
\(20\) 4.09261 2.85442i 0.915136 0.638269i
\(21\) −1.52849 0.448805i −0.333544 0.0979373i
\(22\) −0.204012 + 1.63828i −0.0434955 + 0.349283i
\(23\) 4.16216 2.38252i 0.867871 0.496790i
\(24\) −2.63531 1.02721i −0.537930 0.209678i
\(25\) −1.17471 0.344926i −0.234942 0.0689851i
\(26\) 3.34810 + 3.71942i 0.656617 + 0.729438i
\(27\) −0.841254 0.540641i −0.161899 0.104046i
\(28\) 1.21300 2.94609i 0.229236 0.556759i
\(29\) −3.40681 5.30111i −0.632629 0.984391i −0.998555 0.0537464i \(-0.982884\pi\)
0.365925 0.930644i \(-0.380753\pi\)
\(30\) 1.05786 + 3.36594i 0.193138 + 0.614533i
\(31\) −0.449612 + 0.389591i −0.0807528 + 0.0699727i −0.694302 0.719684i \(-0.744287\pi\)
0.613549 + 0.789657i \(0.289741\pi\)
\(32\) 2.59540 5.02632i 0.458806 0.888537i
\(33\) −1.06189 0.484951i −0.184852 0.0844191i
\(34\) 0.104830 + 0.642602i 0.0179782 + 0.110205i
\(35\) −3.81336 + 1.11970i −0.644576 + 0.189264i
\(36\) 1.25163 1.55994i 0.208606 0.259990i
\(37\) 0.0548572 + 0.381540i 0.00901847 + 0.0627248i 0.993834 0.110881i \(-0.0353672\pi\)
−0.984815 + 0.173606i \(0.944458\pi\)
\(38\) 7.13098 4.77570i 1.15680 0.774721i
\(39\) −3.21886 + 1.47000i −0.515429 + 0.235389i
\(40\) −6.91652 + 1.39865i −1.09360 + 0.221146i
\(41\) −0.738033 + 5.13313i −0.115261 + 0.801661i 0.847400 + 0.530954i \(0.178166\pi\)
−0.962662 + 0.270707i \(0.912743\pi\)
\(42\) 1.73020 + 1.44286i 0.266975 + 0.222638i
\(43\) 2.16580 + 1.87668i 0.330281 + 0.286190i 0.804176 0.594391i \(-0.202607\pi\)
−0.473895 + 0.880581i \(0.657152\pi\)
\(44\) 1.18711 2.01046i 0.178963 0.303088i
\(45\) −2.49486 −0.371911
\(46\) −6.74104 + 0.747291i −0.993911 + 0.110182i
\(47\) 0.152392i 0.0222287i −0.999938 0.0111144i \(-0.996462\pi\)
0.999938 0.0111144i \(-0.00353788\pi\)
\(48\) 2.84039 + 2.81641i 0.409975 + 0.406514i
\(49\) 2.92218 3.37238i 0.417454 0.481768i
\(50\) 1.32973 + 1.10890i 0.188052 + 0.156822i
\(51\) −0.455709 0.0655210i −0.0638120 0.00917478i
\(52\) −2.24922 6.71035i −0.311911 0.930557i
\(53\) −3.00967 6.59027i −0.413410 0.905243i −0.995733 0.0922845i \(-0.970583\pi\)
0.582322 0.812958i \(-0.302144\pi\)
\(54\) 0.786941 + 1.17504i 0.107089 + 0.159903i
\(55\) −2.88282 + 0.414487i −0.388719 + 0.0558894i
\(56\) −3.23243 + 3.13895i −0.431952 + 0.419460i
\(57\) 1.70975 + 5.82287i 0.226462 + 0.771258i
\(58\) 1.43481 + 8.79531i 0.188400 + 1.15488i
\(59\) 0.844965 1.85022i 0.110005 0.240878i −0.846621 0.532196i \(-0.821367\pi\)
0.956626 + 0.291319i \(0.0940941\pi\)
\(60\) 0.522861 4.96224i 0.0675010 0.640622i
\(61\) −6.17484 7.12615i −0.790608 0.912410i 0.207220 0.978294i \(-0.433558\pi\)
−0.997827 + 0.0658847i \(0.979013\pi\)
\(62\) 0.802641 0.252257i 0.101935 0.0320366i
\(63\) −1.34013 + 0.861251i −0.168841 + 0.108507i
\(64\) −6.19709 + 5.05925i −0.774637 + 0.632407i
\(65\) −4.77298 + 7.42691i −0.592016 + 0.921194i
\(66\) 1.10453 + 1.22703i 0.135959 + 0.151037i
\(67\) 0.430258 1.46532i 0.0525643 0.179018i −0.929027 0.370013i \(-0.879353\pi\)
0.981591 + 0.190995i \(0.0611715\pi\)
\(68\) 0.225826 0.892668i 0.0273854 0.108252i
\(69\) 0.925049 4.70577i 0.111363 0.566508i
\(70\) 5.57750 + 0.694554i 0.666639 + 0.0830151i
\(71\) −0.422371 + 1.43846i −0.0501262 + 0.170714i −0.980752 0.195258i \(-0.937445\pi\)
0.930626 + 0.365973i \(0.119264\pi\)
\(72\) −2.50207 + 1.31896i −0.294872 + 0.155440i
\(73\) −9.07676 5.83328i −1.06235 0.682733i −0.111938 0.993715i \(-0.535706\pi\)
−0.950416 + 0.310982i \(0.899342\pi\)
\(74\) 0.143663 0.525857i 0.0167005 0.0611296i
\(75\) −1.02995 + 0.661908i −0.118928 + 0.0764305i
\(76\) −11.9400 + 2.18034i −1.36961 + 0.250102i
\(77\) −1.40545 + 1.21783i −0.160165 + 0.138784i
\(78\) 5.00349 0.0946252i 0.566534 0.0107142i
\(79\) −3.40708 + 7.46047i −0.383327 + 0.839369i 0.615365 + 0.788242i \(0.289009\pi\)
−0.998692 + 0.0511267i \(0.983719\pi\)
\(80\) 9.76026 + 2.07993i 1.09123 + 0.232543i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) 3.84769 6.24362i 0.424906 0.689493i
\(83\) 4.37321 0.628773i 0.480022 0.0690168i 0.101944 0.994790i \(-0.467494\pi\)
0.378079 + 0.925773i \(0.376585\pi\)
\(84\) −1.43216 2.84601i −0.156261 0.310525i
\(85\) −1.04482 + 0.477153i −0.113327 + 0.0517545i
\(86\) −1.75300 3.65406i −0.189031 0.394028i
\(87\) −6.23730 0.896788i −0.668708 0.0961458i
\(88\) −2.67203 + 1.93975i −0.284839 + 0.206778i
\(89\) −2.04054 1.76814i −0.216297 0.187423i 0.539972 0.841683i \(-0.318435\pi\)
−0.756270 + 0.654260i \(0.772980\pi\)
\(90\) 3.23656 + 1.40474i 0.341163 + 0.148073i
\(91\) 5.63711i 0.590930i
\(92\) 9.16586 + 2.82613i 0.955607 + 0.294644i
\(93\) 0.594922i 0.0616906i
\(94\) −0.0858055 + 0.197698i −0.00885017 + 0.0203909i
\(95\) 11.4424 + 9.91493i 1.17397 + 1.01725i
\(96\) −2.09902 5.25301i −0.214230 0.536133i
\(97\) 10.0554 + 1.44575i 1.02097 + 0.146794i 0.632414 0.774630i \(-0.282064\pi\)
0.388559 + 0.921424i \(0.372973\pi\)
\(98\) −5.68976 + 2.72961i −0.574753 + 0.275732i
\(99\) −1.06189 + 0.484951i −0.106724 + 0.0487394i
\(100\) −1.10068 2.18728i −0.110068 0.218728i
\(101\) −9.63045 + 1.38465i −0.958266 + 0.137778i −0.603663 0.797239i \(-0.706293\pi\)
−0.354603 + 0.935017i \(0.615384\pi\)
\(102\) 0.554295 + 0.341590i 0.0548834 + 0.0338224i
\(103\) 13.5263 3.97169i 1.33279 0.391342i 0.463697 0.885994i \(-0.346523\pi\)
0.869091 + 0.494652i \(0.164704\pi\)
\(104\) −0.860401 + 9.97172i −0.0843692 + 0.977808i
\(105\) −1.65100 + 3.61520i −0.161122 + 0.352807i
\(106\) 0.193735 + 10.2441i 0.0188172 + 0.994997i
\(107\) 13.4928 11.6916i 1.30440 1.13027i 0.321346 0.946962i \(-0.395865\pi\)
0.983056 0.183308i \(-0.0586806\pi\)
\(108\) −0.359277 1.96747i −0.0345714 0.189319i
\(109\) 14.7043 9.44990i 1.40842 0.905136i 0.408449 0.912781i \(-0.366070\pi\)
0.999971 + 0.00764466i \(0.00243340\pi\)
\(110\) 3.97324 + 1.08548i 0.378834 + 0.103496i
\(111\) 0.324273 + 0.208397i 0.0307786 + 0.0197802i
\(112\) 5.96082 2.25210i 0.563244 0.212803i
\(113\) 0.223923 0.762610i 0.0210649 0.0717403i −0.948290 0.317406i \(-0.897188\pi\)
0.969355 + 0.245665i \(0.0790065\pi\)
\(114\) 1.06056 8.51665i 0.0993306 0.797658i
\(115\) −4.40574 11.1242i −0.410838 1.03734i
\(116\) 3.09089 12.2180i 0.286982 1.13441i
\(117\) −0.996949 + 3.39530i −0.0921679 + 0.313895i
\(118\) −2.13794 + 1.92451i −0.196814 + 0.177165i
\(119\) −0.396515 + 0.616990i −0.0363485 + 0.0565594i
\(120\) −3.47232 + 6.14308i −0.316978 + 0.560784i
\(121\) 8.10733 5.21027i 0.737030 0.473661i
\(122\) 3.99815 + 12.7215i 0.361976 + 1.15175i
\(123\) 3.39605 + 3.91926i 0.306212 + 0.353387i
\(124\) −1.18329 0.124681i −0.106263 0.0111967i
\(125\) 3.91313 8.56857i 0.350001 0.766396i
\(126\) 2.22348 0.362724i 0.198083 0.0323140i
\(127\) 4.87351 + 16.5976i 0.432454 + 1.47280i 0.831320 + 0.555794i \(0.187585\pi\)
−0.398867 + 0.917009i \(0.630596\pi\)
\(128\) 10.8881 3.07402i 0.962380 0.271707i
\(129\) 2.83659 0.407841i 0.249748 0.0359084i
\(130\) 10.3737 6.94741i 0.909836 0.609328i
\(131\) −1.65327 3.62015i −0.144446 0.316294i 0.823556 0.567235i \(-0.191987\pi\)
−0.968002 + 0.250942i \(0.919260\pi\)
\(132\) −0.742015 2.21373i −0.0645841 0.192680i
\(133\) 9.56914 + 1.37584i 0.829750 + 0.119300i
\(134\) −1.38323 + 1.65869i −0.119493 + 0.143289i
\(135\) −1.63378 + 1.88549i −0.140614 + 0.162277i
\(136\) −0.795585 + 1.03090i −0.0682208 + 0.0883988i
\(137\) 11.1642i 0.953822i −0.878951 0.476911i \(-0.841756\pi\)
0.878951 0.476911i \(-0.158244\pi\)
\(138\) −3.84967 + 5.58391i −0.327706 + 0.475334i
\(139\) 17.1416 1.45393 0.726964 0.686676i \(-0.240931\pi\)
0.726964 + 0.686676i \(0.240931\pi\)
\(140\) −6.84457 4.04149i −0.578472 0.341568i
\(141\) −0.115171 0.0997958i −0.00969911 0.00840432i
\(142\) 1.35788 1.62829i 0.113950 0.136643i
\(143\) −0.587897 + 4.08891i −0.0491624 + 0.341932i
\(144\) 3.98856 0.302265i 0.332380 0.0251887i
\(145\) −14.3005 + 6.53081i −1.18759 + 0.542354i
\(146\) 8.49074 + 12.6782i 0.702699 + 1.04925i
\(147\) −0.635051 4.41687i −0.0523781 0.364298i
\(148\) −0.482460 + 0.601300i −0.0396580 + 0.0494265i
\(149\) −3.16139 + 0.928269i −0.258991 + 0.0760467i −0.408651 0.912691i \(-0.634001\pi\)
0.149659 + 0.988738i \(0.452182\pi\)
\(150\) 1.70884 0.278769i 0.139526 0.0227614i
\(151\) 8.13086 + 3.71324i 0.661680 + 0.302179i 0.717804 0.696245i \(-0.245147\pi\)
−0.0561247 + 0.998424i \(0.517874\pi\)
\(152\) 16.7173 + 3.89433i 1.35595 + 0.315872i
\(153\) −0.347943 + 0.301494i −0.0281295 + 0.0243744i
\(154\) 2.50898 0.788530i 0.202179 0.0635416i
\(155\) 0.802444 + 1.24863i 0.0644538 + 0.100292i
\(156\) −6.54427 2.69449i −0.523961 0.215732i
\(157\) 20.2001 + 12.9818i 1.61214 + 1.03606i 0.960787 + 0.277287i \(0.0894354\pi\)
0.651355 + 0.758773i \(0.274201\pi\)
\(158\) 8.62065 7.76003i 0.685822 0.617355i
\(159\) −6.95151 2.04115i −0.551290 0.161873i
\(160\) −11.4908 8.19385i −0.908427 0.647781i
\(161\) −6.20678 4.45456i −0.489163 0.351069i
\(162\) 1.40337 + 0.174759i 0.110259 + 0.0137304i
\(163\) −12.4413 3.65310i −0.974478 0.286133i −0.244535 0.969640i \(-0.578635\pi\)
−0.729943 + 0.683508i \(0.760453\pi\)
\(164\) −8.50709 + 5.93334i −0.664292 + 0.463316i
\(165\) −1.57460 + 2.45012i −0.122582 + 0.190742i
\(166\) −6.02737 1.64666i −0.467815 0.127806i
\(167\) 13.6472 + 21.2354i 1.05605 + 1.64325i 0.708701 + 0.705509i \(0.249282\pi\)
0.347349 + 0.937736i \(0.387082\pi\)
\(168\) 0.255468 + 4.49849i 0.0197098 + 0.347066i
\(169\) −0.313064 0.361296i −0.0240819 0.0277920i
\(170\) 1.62410 0.0307147i 0.124563 0.00235571i
\(171\) 5.52028 + 2.52103i 0.422146 + 0.192788i
\(172\) 0.216710 + 5.72743i 0.0165240 + 0.436712i
\(173\) −2.52431 8.59702i −0.191920 0.653619i −0.998081 0.0619229i \(-0.980277\pi\)
0.806161 0.591696i \(-0.201541\pi\)
\(174\) 7.58666 + 4.67535i 0.575143 + 0.354437i
\(175\) 0.277562 + 1.93048i 0.0209817 + 0.145931i
\(176\) 4.55859 1.01192i 0.343617 0.0762760i
\(177\) −0.844965 1.85022i −0.0635115 0.139071i
\(178\) 1.65162 + 3.44274i 0.123794 + 0.258044i
\(179\) −1.44381 + 10.0420i −0.107916 + 0.750571i 0.861961 + 0.506975i \(0.169236\pi\)
−0.969877 + 0.243596i \(0.921673\pi\)
\(180\) −3.40781 3.64473i −0.254003 0.271662i
\(181\) 8.90279 10.2744i 0.661739 0.763688i −0.321321 0.946970i \(-0.604127\pi\)
0.983060 + 0.183283i \(0.0586724\pi\)
\(182\) 3.17401 7.31298i 0.235273 0.542074i
\(183\) −9.42924 −0.697030
\(184\) −10.2995 8.82721i −0.759292 0.650751i
\(185\) 0.961676 0.0707038
\(186\) 0.334975 0.771788i 0.0245615 0.0565903i
\(187\) −0.351961 + 0.406185i −0.0257379 + 0.0297032i
\(188\) 0.222630 0.208158i 0.0162369 0.0151815i
\(189\) −0.226710 + 1.57680i −0.0164907 + 0.114696i
\(190\) −9.26153 19.3053i −0.671902 1.40055i
\(191\) 5.97983 + 13.0940i 0.432685 + 0.947449i 0.992883 + 0.119090i \(0.0379977\pi\)
−0.560198 + 0.828359i \(0.689275\pi\)
\(192\) −0.234704 + 7.99656i −0.0169383 + 0.577102i
\(193\) −1.03961 7.23064i −0.0748327 0.520473i −0.992416 0.122928i \(-0.960772\pi\)
0.917583 0.397544i \(-0.130138\pi\)
\(194\) −12.2308 7.53733i −0.878119 0.541149i
\(195\) 2.48724 + 8.47077i 0.178115 + 0.606604i
\(196\) 8.91821 0.337440i 0.637015 0.0241029i
\(197\) −19.0765 8.71195i −1.35914 0.620700i −0.403434 0.915009i \(-0.632183\pi\)
−0.955711 + 0.294308i \(0.904911\pi\)
\(198\) 1.65064 0.0312167i 0.117306 0.00221847i
\(199\) −5.48953 6.33526i −0.389143 0.449095i 0.527049 0.849835i \(-0.323298\pi\)
−0.916192 + 0.400740i \(0.868753\pi\)
\(200\) 0.196338 + 3.45728i 0.0138832 + 0.244466i
\(201\) −0.825658 1.28475i −0.0582374 0.0906192i
\(202\) 13.2732 + 3.62619i 0.933896 + 0.255138i
\(203\) −5.42712 + 8.44476i −0.380909 + 0.592706i
\(204\) −0.526749 0.755241i −0.0368798 0.0528775i
\(205\) 12.4140 + 3.64509i 0.867034 + 0.254584i
\(206\) −19.7839 2.46364i −1.37841 0.171650i
\(207\) −2.95061 3.78073i −0.205081 0.262779i
\(208\) 6.73083 12.4518i 0.466699 0.863376i
\(209\) 6.79755 + 1.99594i 0.470197 + 0.138062i
\(210\) 4.17739 3.76036i 0.288268 0.259489i
\(211\) 4.16764 + 2.67838i 0.286912 + 0.184387i 0.676178 0.736738i \(-0.263635\pi\)
−0.389266 + 0.921125i \(0.627271\pi\)
\(212\) 5.51668 13.3987i 0.378887 0.920226i
\(213\) 0.810524 + 1.26120i 0.0555362 + 0.0864160i
\(214\) −24.0872 + 7.57020i −1.64657 + 0.517489i
\(215\) 5.40336 4.68203i 0.368506 0.319312i
\(216\) −0.641707 + 2.75467i −0.0436626 + 0.187432i
\(217\) 0.862078 + 0.393698i 0.0585217 + 0.0267260i
\(218\) −24.3966 + 3.97992i −1.65235 + 0.269554i
\(219\) −10.3525 + 3.03977i −0.699558 + 0.205409i
\(220\) −4.54327 3.64534i −0.306307 0.245769i
\(221\) 0.231855 + 1.61259i 0.0155963 + 0.108474i
\(222\) −0.303337 0.452936i −0.0203586 0.0303991i
\(223\) 0.923694 0.421837i 0.0618551 0.0282483i −0.384247 0.923230i \(-0.625539\pi\)
0.446102 + 0.894982i \(0.352812\pi\)
\(224\) −9.00098 0.434650i −0.601403 0.0290413i
\(225\) −0.174236 + 1.21184i −0.0116158 + 0.0807893i
\(226\) −0.719886 + 0.863247i −0.0478861 + 0.0574224i
\(227\) −14.9638 12.9662i −0.993185 0.860600i −0.00294808 0.999996i \(-0.500938\pi\)
−0.990237 + 0.139396i \(0.955484\pi\)
\(228\) −6.17121 + 10.4514i −0.408699 + 0.692163i
\(229\) −3.05617 −0.201957 −0.100979 0.994889i \(-0.532197\pi\)
−0.100979 + 0.994889i \(0.532197\pi\)
\(230\) −0.548031 + 16.9121i −0.0361361 + 1.11515i
\(231\) 1.85967i 0.122357i
\(232\) −10.8892 + 14.1099i −0.714910 + 0.926363i
\(233\) 8.31228 9.59288i 0.544555 0.628450i −0.415050 0.909798i \(-0.636236\pi\)
0.959606 + 0.281348i \(0.0907815\pi\)
\(234\) 3.20508 3.84335i 0.209522 0.251248i
\(235\) −0.376327 0.0541077i −0.0245489 0.00352960i
\(236\) 3.85714 1.29287i 0.251079 0.0841585i
\(237\) 3.40708 + 7.46047i 0.221314 + 0.484610i
\(238\) 0.861796 0.577156i 0.0558620 0.0374114i
\(239\) −22.2208 + 3.19486i −1.43734 + 0.206658i −0.816531 0.577302i \(-0.804106\pi\)
−0.620811 + 0.783961i \(0.713196\pi\)
\(240\) 7.96352 6.01425i 0.514043 0.388218i
\(241\) 8.46626 + 28.8334i 0.545360 + 1.85732i 0.513955 + 0.857817i \(0.328180\pi\)
0.0314049 + 0.999507i \(0.490002\pi\)
\(242\) −13.4513 + 2.19435i −0.864679 + 0.141058i
\(243\) −0.415415 + 0.909632i −0.0266489 + 0.0583529i
\(244\) 1.97614 18.7547i 0.126509 1.20064i
\(245\) −7.29042 8.41359i −0.465768 0.537525i
\(246\) −2.19891 6.99659i −0.140198 0.446086i
\(247\) 18.0658 11.6102i 1.14950 0.738740i
\(248\) 1.46488 + 0.828009i 0.0930197 + 0.0525786i
\(249\) 2.38865 3.71681i 0.151375 0.235543i
\(250\) −9.90107 + 8.91262i −0.626198 + 0.563684i
\(251\) −4.99982 + 17.0278i −0.315586 + 1.07479i 0.637088 + 0.770791i \(0.280139\pi\)
−0.952673 + 0.303995i \(0.901679\pi\)
\(252\) −3.08873 0.781383i −0.194572 0.0492225i
\(253\) −4.03756 3.87845i −0.253839 0.243836i
\(254\) 3.02304 24.2761i 0.189683 1.52322i
\(255\) −0.323603 + 1.10209i −0.0202648 + 0.0690156i
\(256\) −15.8559 2.14271i −0.990992 0.133919i
\(257\) 6.88489 + 4.42465i 0.429468 + 0.276002i 0.737465 0.675385i \(-0.236022\pi\)
−0.307998 + 0.951387i \(0.599659\pi\)
\(258\) −3.90953 1.06807i −0.243397 0.0664954i
\(259\) 0.516572 0.331981i 0.0320982 0.0206283i
\(260\) −17.3695 + 3.17183i −1.07721 + 0.196709i
\(261\) −4.76231 + 4.12656i −0.294779 + 0.255428i
\(262\) 0.106422 + 5.62727i 0.00657477 + 0.347654i
\(263\) 7.81443 17.1112i 0.481859 1.05512i −0.500090 0.865974i \(-0.666700\pi\)
0.981948 0.189150i \(-0.0605731\pi\)
\(264\) −0.283844 + 3.28965i −0.0174694 + 0.202464i
\(265\) −17.3430 + 5.09237i −1.06537 + 0.312822i
\(266\) −11.6393 7.17283i −0.713651 0.439794i
\(267\) −2.67255 + 0.384254i −0.163557 + 0.0235160i
\(268\) 2.72839 1.37297i 0.166663 0.0838677i
\(269\) −24.1204 + 11.0154i −1.47065 + 0.671622i −0.979865 0.199661i \(-0.936016\pi\)
−0.490781 + 0.871283i \(0.663289\pi\)
\(270\) 3.18113 1.52611i 0.193597 0.0928764i
\(271\) −9.68007 1.39178i −0.588023 0.0845449i −0.158120 0.987420i \(-0.550543\pi\)
−0.429903 + 0.902875i \(0.641452\pi\)
\(272\) 1.61256 0.889418i 0.0977758 0.0539289i
\(273\) 4.26024 + 3.69152i 0.257842 + 0.223421i
\(274\) −6.28608 + 14.4832i −0.379756 + 0.874964i
\(275\) 1.42924i 0.0861862i
\(276\) 8.13821 5.07638i 0.489863 0.305562i
\(277\) 27.1057i 1.62862i 0.580428 + 0.814312i \(0.302885\pi\)
−0.580428 + 0.814312i \(0.697115\pi\)
\(278\) −22.2376 9.65166i −1.33372 0.578868i
\(279\) 0.449612 + 0.389591i 0.0269176 + 0.0233242i
\(280\) 6.60383 + 9.09687i 0.394654 + 0.543642i
\(281\) 27.6574 + 3.97653i 1.64990 + 0.237220i 0.903596 0.428385i \(-0.140917\pi\)
0.746304 + 0.665605i \(0.231826\pi\)
\(282\) 0.0932192 + 0.194312i 0.00555112 + 0.0115711i
\(283\) 8.58107 3.91884i 0.510092 0.232951i −0.143706 0.989620i \(-0.545902\pi\)
0.653798 + 0.756669i \(0.273175\pi\)
\(284\) −2.67838 + 1.34781i −0.158933 + 0.0799777i
\(285\) 14.9864 2.15472i 0.887718 0.127635i
\(286\) 3.06496 4.97350i 0.181235 0.294089i
\(287\) 7.92662 2.32747i 0.467894 0.137386i
\(288\) −5.34452 1.85366i −0.314929 0.109228i
\(289\) 6.97400 15.2709i 0.410235 0.898290i
\(290\) 22.2291 0.420394i 1.30534 0.0246864i
\(291\) 7.67752 6.65261i 0.450064 0.389983i
\(292\) −3.87644 21.2281i −0.226851 1.24228i
\(293\) −13.2940 + 8.54354i −0.776644 + 0.499119i −0.867918 0.496707i \(-0.834542\pi\)
0.0912742 + 0.995826i \(0.470906\pi\)
\(294\) −1.66310 + 6.08755i −0.0969941 + 0.355033i
\(295\) −4.26903 2.74354i −0.248552 0.159735i
\(296\) 0.964457 0.508410i 0.0560579 0.0295507i
\(297\) −0.328891 + 1.12010i −0.0190842 + 0.0649948i
\(298\) 4.62392 + 0.575807i 0.267856 + 0.0333556i
\(299\) −16.8997 + 1.55060i −0.977335 + 0.0896733i
\(300\) −2.37382 0.600526i −0.137053 0.0346714i
\(301\) 1.28617 4.38029i 0.0741335 0.252476i
\(302\) −8.45734 9.39529i −0.486665 0.540638i
\(303\) −5.26016 + 8.18497i −0.302188 + 0.470214i
\(304\) −19.4945 14.4648i −1.11808 0.829616i
\(305\) −19.7902 + 12.7184i −1.13318 + 0.728251i
\(306\) 0.621142 0.195215i 0.0355083 0.0111597i
\(307\) −10.1858 11.7551i −0.581335 0.670897i 0.386556 0.922266i \(-0.373665\pi\)
−0.967891 + 0.251369i \(0.919119\pi\)
\(308\) −3.69886 0.389741i −0.210762 0.0222076i
\(309\) 5.85626 12.8234i 0.333151 0.729499i
\(310\) −0.337957 2.07165i −0.0191947 0.117662i
\(311\) 4.21937 + 14.3699i 0.239259 + 0.814840i 0.988327 + 0.152348i \(0.0486833\pi\)
−0.749068 + 0.662493i \(0.769499\pi\)
\(312\) 6.97268 + 7.18034i 0.394750 + 0.406506i
\(313\) −4.90386 + 0.705069i −0.277183 + 0.0398528i −0.279504 0.960144i \(-0.590170\pi\)
0.00232165 + 0.999997i \(0.499261\pi\)
\(314\) −18.8959 28.2150i −1.06636 1.59226i
\(315\) 1.65100 + 3.61520i 0.0930236 + 0.203693i
\(316\) −15.5528 + 5.21312i −0.874916 + 0.293261i
\(317\) 20.4943 + 2.94664i 1.15108 + 0.165500i 0.691322 0.722547i \(-0.257029\pi\)
0.459754 + 0.888047i \(0.347938\pi\)
\(318\) 7.86886 + 6.56205i 0.441264 + 0.367982i
\(319\) −4.81730 + 5.55946i −0.269717 + 0.311270i
\(320\) 10.2933 + 17.0998i 0.575414 + 0.955907i
\(321\) 17.8536i 0.996489i
\(322\) 5.54384 + 9.27364i 0.308946 + 0.516800i
\(323\) 2.79400 0.155462
\(324\) −1.72219 1.01689i −0.0956771 0.0564940i
\(325\) 3.27418 + 2.83709i 0.181619 + 0.157373i
\(326\) 14.0831 + 11.7443i 0.779991 + 0.650456i
\(327\) 2.48753 17.3012i 0.137561 0.956757i
\(328\) 14.3770 2.90730i 0.793836 0.160529i
\(329\) −0.220826 + 0.100848i −0.0121745 + 0.00555992i
\(330\) 3.42227 2.29194i 0.188390 0.126167i
\(331\) −4.14372 28.8202i −0.227759 1.58410i −0.707514 0.706699i \(-0.750183\pi\)
0.479755 0.877403i \(-0.340726\pi\)
\(332\) 6.89210 + 5.52995i 0.378253 + 0.303496i
\(333\) 0.369850 0.108598i 0.0202676 0.00595112i
\(334\) −5.74763 35.2327i −0.314497 1.92785i
\(335\) −3.46579 1.58277i −0.189356 0.0864762i
\(336\) 2.20149 5.97970i 0.120101 0.326219i
\(337\) 19.7582 17.1206i 1.07630 0.932617i 0.0783678 0.996925i \(-0.475029\pi\)
0.997930 + 0.0643070i \(0.0204837\pi\)
\(338\) 0.202706 + 0.644979i 0.0110258 + 0.0350822i
\(339\) −0.429704 0.668633i −0.0233383 0.0363152i
\(340\) −2.12423 0.874615i −0.115202 0.0474326i
\(341\) 0.584255 + 0.375478i 0.0316392 + 0.0203333i
\(342\) −5.74194 6.37874i −0.310488 0.344923i
\(343\) −17.5200 5.14434i −0.945991 0.277768i
\(344\) 2.94373 7.55217i 0.158715 0.407186i
\(345\) −11.2923 3.95518i −0.607956 0.212940i
\(346\) −1.56583 + 12.5742i −0.0841798 + 0.675992i
\(347\) 18.2402 + 5.35580i 0.979185 + 0.287515i 0.731888 0.681425i \(-0.238639\pi\)
0.247297 + 0.968940i \(0.420458\pi\)
\(348\) −7.20963 10.3370i −0.386477 0.554122i
\(349\) 1.36890 2.13004i 0.0732753 0.114019i −0.802682 0.596407i \(-0.796594\pi\)
0.875957 + 0.482389i \(0.160231\pi\)
\(350\) 0.726892 2.66068i 0.0388540 0.142220i
\(351\) 1.91313 + 2.97689i 0.102115 + 0.158895i
\(352\) −6.48359 1.25399i −0.345577 0.0668381i
\(353\) −3.55220 4.09946i −0.189065 0.218192i 0.653301 0.757098i \(-0.273383\pi\)
−0.842366 + 0.538906i \(0.818838\pi\)
\(354\) 0.0543911 + 2.87603i 0.00289085 + 0.152859i
\(355\) 3.40227 + 1.55376i 0.180574 + 0.0824652i
\(356\) −0.204177 5.39619i −0.0108214 0.285998i
\(357\) 0.206628 + 0.703709i 0.0109359 + 0.0372442i
\(358\) 7.52724 12.2144i 0.397827 0.645551i
\(359\) −4.82189 33.5370i −0.254490 1.77001i −0.570538 0.821271i \(-0.693265\pi\)
0.316049 0.948743i \(-0.397644\pi\)
\(360\) 2.36874 + 6.64707i 0.124843 + 0.350331i
\(361\) −7.40647 16.2179i −0.389814 0.853574i
\(362\) −17.3346 + 8.31608i −0.911085 + 0.437084i
\(363\) 1.37152 9.53911i 0.0719860 0.500674i
\(364\) −8.23524 + 7.69992i −0.431644 + 0.403586i
\(365\) −17.6278 + 20.3436i −0.922681 + 1.06483i
\(366\) 12.2325 + 5.30920i 0.639402 + 0.277516i
\(367\) −0.148696 −0.00776187 −0.00388093 0.999992i \(-0.501235\pi\)
−0.00388093 + 0.999992i \(0.501235\pi\)
\(368\) 8.39129 + 17.2507i 0.437426 + 0.899254i
\(369\) 5.18592 0.269968
\(370\) −1.24757 0.541478i −0.0648583 0.0281501i
\(371\) −7.55800 + 8.72240i −0.392392 + 0.452844i
\(372\) −0.869121 + 0.812625i −0.0450618 + 0.0421327i
\(373\) −2.10294 + 14.6263i −0.108886 + 0.757319i 0.860086 + 0.510149i \(0.170410\pi\)
−0.968972 + 0.247170i \(0.920499\pi\)
\(374\) 0.685301 0.328766i 0.0354361 0.0170001i
\(375\) −3.91313 8.56857i −0.202073 0.442479i
\(376\) −0.406021 + 0.144689i −0.0209389 + 0.00746176i
\(377\) 3.17341 + 22.0715i 0.163439 + 1.13674i
\(378\) 1.18194 1.91792i 0.0607924 0.0986474i
\(379\) 3.30513 + 11.2562i 0.169773 + 0.578194i 0.999791 + 0.0204566i \(0.00651200\pi\)
−0.830018 + 0.557737i \(0.811670\pi\)
\(380\) 1.14493 + 30.2594i 0.0587337 + 1.55227i
\(381\) 15.7351 + 7.18599i 0.806135 + 0.368150i
\(382\) −0.384927 20.3537i −0.0196946 1.04139i
\(383\) 9.84466 + 11.3613i 0.503039 + 0.580537i 0.949303 0.314364i \(-0.101791\pi\)
−0.446264 + 0.894901i \(0.647246\pi\)
\(384\) 4.80699 10.2417i 0.245306 0.522646i
\(385\) 2.50836 + 3.90309i 0.127838 + 0.198920i
\(386\) −2.72258 + 9.96561i −0.138576 + 0.507236i
\(387\) 1.54935 2.41083i 0.0787578 0.122550i
\(388\) 11.6230 + 16.6647i 0.590066 + 0.846024i
\(389\) −4.68156 1.37463i −0.237364 0.0696964i 0.160887 0.986973i \(-0.448565\pi\)
−0.398251 + 0.917276i \(0.630383\pi\)
\(390\) 1.54284 12.3895i 0.0781248 0.627368i
\(391\) −1.95877 1.01901i −0.0990591 0.0515337i
\(392\) −11.7595 4.58369i −0.593945 0.231512i
\(393\) −3.81858 1.12124i −0.192622 0.0565589i
\(394\) 19.8425 + 22.0431i 0.999650 + 1.11051i
\(395\) 17.2136 + 11.0625i 0.866112 + 0.556617i
\(396\) −2.15894 0.888907i −0.108491 0.0446693i
\(397\) 5.15396 + 8.01972i 0.258670 + 0.402498i 0.946162 0.323694i \(-0.104925\pi\)
−0.687492 + 0.726192i \(0.741288\pi\)
\(398\) 3.55442 + 11.3096i 0.178167 + 0.566899i
\(399\) 7.30624 6.33090i 0.365770 0.316941i
\(400\) 1.69194 4.59565i 0.0845968 0.229782i
\(401\) −3.96461 1.81058i −0.197983 0.0904159i 0.313956 0.949437i \(-0.398345\pi\)
−0.511939 + 0.859022i \(0.671073\pi\)
\(402\) 0.347734 + 2.13159i 0.0173434 + 0.106314i
\(403\) 2.01994 0.593107i 0.100620 0.0295448i
\(404\) −15.1774 12.1778i −0.755104 0.605866i
\(405\) 0.355055 + 2.46946i 0.0176428 + 0.122709i
\(406\) 11.7954 7.89955i 0.585397 0.392048i
\(407\) 0.409321 0.186931i 0.0202893 0.00926582i
\(408\) 0.258104 + 1.27636i 0.0127781 + 0.0631891i
\(409\) −3.34599 + 23.2718i −0.165448 + 1.15072i 0.722700 + 0.691162i \(0.242901\pi\)
−0.888148 + 0.459557i \(0.848008\pi\)
\(410\) −14.0522 11.7185i −0.693991 0.578738i
\(411\) −8.43734 7.31100i −0.416183 0.360625i
\(412\) 24.2783 + 14.3355i 1.19611 + 0.706260i
\(413\) −3.24024 −0.159442
\(414\) 1.69903 + 6.56607i 0.0835030 + 0.322705i
\(415\) 11.0227i 0.541084i
\(416\) −15.7429 + 12.3638i −0.771860 + 0.606183i
\(417\) 11.2253 12.9547i 0.549707 0.634395i
\(418\) −7.69459 6.41673i −0.376355 0.313852i
\(419\) 38.5245 + 5.53898i 1.88204 + 0.270597i 0.985156 0.171662i \(-0.0549135\pi\)
0.896888 + 0.442259i \(0.145823\pi\)
\(420\) −7.53659 + 2.52617i −0.367748 + 0.123265i
\(421\) 12.2693 + 26.8659i 0.597967 + 1.30936i 0.930506 + 0.366276i \(0.119367\pi\)
−0.332540 + 0.943089i \(0.607905\pi\)
\(422\) −3.89857 5.82125i −0.189779 0.283374i
\(423\) −0.150841 + 0.0216877i −0.00733416 + 0.00105449i
\(424\) −14.7010 + 14.2758i −0.713942 + 0.693295i
\(425\) 0.158802 + 0.540830i 0.00770303 + 0.0262341i
\(426\) −0.341360 2.09252i −0.0165389 0.101383i
\(427\) −6.23993 + 13.6635i −0.301971 + 0.661225i
\(428\) 35.5106 + 3.74167i 1.71647 + 0.180861i
\(429\) 2.70520 + 3.12197i 0.130608 + 0.150730i
\(430\) −9.64598 + 3.03157i −0.465170 + 0.146195i
\(431\) −4.91567 + 3.15911i −0.236780 + 0.152169i −0.653650 0.756797i \(-0.726763\pi\)
0.416870 + 0.908966i \(0.363127\pi\)
\(432\) 2.38352 3.21230i 0.114677 0.154552i
\(433\) −9.33229 + 14.5213i −0.448481 + 0.697850i −0.989720 0.143019i \(-0.954319\pi\)
0.541239 + 0.840869i \(0.317955\pi\)
\(434\) −0.896693 0.996140i −0.0430427 0.0478163i
\(435\) −4.42917 + 15.0844i −0.212362 + 0.723239i
\(436\) 33.8905 + 8.57358i 1.62306 + 0.410600i
\(437\) −1.49249 + 29.0662i −0.0713955 + 1.39042i
\(438\) 15.1418 + 1.88557i 0.723503 + 0.0900962i
\(439\) 2.62016 8.92345i 0.125054 0.425893i −0.873038 0.487653i \(-0.837853\pi\)
0.998091 + 0.0617598i \(0.0196713\pi\)
\(440\) 3.84141 + 7.28719i 0.183132 + 0.347403i
\(441\) −3.75392 2.41250i −0.178758 0.114881i
\(442\) 0.607194 2.22254i 0.0288813 0.105716i
\(443\) −3.70422 + 2.38056i −0.175993 + 0.113104i −0.625671 0.780087i \(-0.715175\pi\)
0.449679 + 0.893190i \(0.351539\pi\)
\(444\) 0.138488 + 0.758386i 0.00657236 + 0.0359914i
\(445\) −5.09086 + 4.41126i −0.241330 + 0.209114i
\(446\) −1.43582 + 0.0271540i −0.0679880 + 0.00128578i
\(447\) −1.36873 + 2.99711i −0.0647389 + 0.141758i
\(448\) 11.4322 + 5.63193i 0.540119 + 0.266084i
\(449\) −37.6331 + 11.0501i −1.77602 + 0.521486i −0.994716 0.102669i \(-0.967262\pi\)
−0.781301 + 0.624154i \(0.785444\pi\)
\(450\) 0.908370 1.47401i 0.0428210 0.0694853i
\(451\) 5.99236 0.861571i 0.282169 0.0405698i
\(452\) 1.41996 0.714548i 0.0667893 0.0336095i
\(453\) 8.13086 3.71324i 0.382021 0.174463i
\(454\) 12.1117 + 25.2465i 0.568433 + 1.18488i
\(455\) 13.9206 + 2.00148i 0.652609 + 0.0938310i
\(456\) 13.8906 10.0838i 0.650488 0.472218i
\(457\) −6.17266 5.34864i −0.288745 0.250199i 0.498428 0.866931i \(-0.333911\pi\)
−0.787173 + 0.616732i \(0.788456\pi\)
\(458\) 3.96475 + 1.72080i 0.185260 + 0.0804075i
\(459\) 0.460395i 0.0214894i
\(460\) 10.2334 21.6313i 0.477135 1.00856i
\(461\) 10.0301i 0.467147i 0.972339 + 0.233573i \(0.0750419\pi\)
−0.972339 + 0.233573i \(0.924958\pi\)
\(462\) 1.04710 2.41254i 0.0487155 0.112241i
\(463\) −24.1947 20.9648i −1.12442 0.974318i −0.124583 0.992209i \(-0.539759\pi\)
−0.999840 + 0.0178915i \(0.994305\pi\)
\(464\) 22.0712 12.1735i 1.02463 0.565140i
\(465\) 1.46914 + 0.211230i 0.0681296 + 0.00979556i
\(466\) −16.1848 + 7.76449i −0.749746 + 0.359683i
\(467\) 14.7942 6.75629i 0.684595 0.312644i −0.0425833 0.999093i \(-0.513559\pi\)
0.727178 + 0.686449i \(0.240832\pi\)
\(468\) −6.32195 + 3.18131i −0.292232 + 0.147056i
\(469\) −2.40807 + 0.346228i −0.111194 + 0.0159873i
\(470\) 0.457741 + 0.282087i 0.0211140 + 0.0130117i
\(471\) 23.0392 6.76493i 1.06159 0.311711i
\(472\) −5.73180 0.494563i −0.263827 0.0227641i
\(473\) 1.38975 3.04314i 0.0639009 0.139924i
\(474\) −0.219317 11.5968i −0.0100736 0.532658i
\(475\) 5.61516 4.86556i 0.257641 0.223247i
\(476\) −1.44297 + 0.263500i −0.0661386 + 0.0120775i
\(477\) −6.09486 + 3.91693i −0.279065 + 0.179344i
\(478\) 30.6257 + 8.36687i 1.40079 + 0.382692i
\(479\) −18.7818 12.0703i −0.858163 0.551508i 0.0359476 0.999354i \(-0.488555\pi\)
−0.894111 + 0.447846i \(0.852191\pi\)
\(480\) −13.7174 + 3.31833i −0.626110 + 0.151460i
\(481\) 0.384287 1.30876i 0.0175220 0.0596745i
\(482\) 5.25163 42.1724i 0.239205 1.92090i
\(483\) −7.43111 + 1.77366i −0.338127 + 0.0807041i
\(484\) 18.6858 + 4.72710i 0.849352 + 0.214868i
\(485\) 7.14045 24.3181i 0.324231 1.10423i
\(486\) 1.05109 0.946157i 0.0476784 0.0429185i
\(487\) 13.7834 21.4474i 0.624586 0.971874i −0.374419 0.927260i \(-0.622158\pi\)
0.999004 0.0446144i \(-0.0142059\pi\)
\(488\) −13.1236 + 23.2176i −0.594076 + 1.05101i
\(489\) −10.9081 + 7.01024i −0.493283 + 0.317014i
\(490\) 4.72048 + 15.0198i 0.213249 + 0.678526i
\(491\) −25.9708 29.9719i −1.17204 1.35261i −0.923318 0.384037i \(-0.874533\pi\)
−0.248727 0.968574i \(-0.580012\pi\)
\(492\) −1.08684 + 10.3147i −0.0489986 + 0.465024i
\(493\) −1.20518 + 2.63898i −0.0542786 + 0.118854i
\(494\) −29.9739 + 4.88975i −1.34859 + 0.220000i
\(495\) 0.820536 + 2.79449i 0.0368804 + 0.125603i
\(496\) −1.43416 1.89898i −0.0643955 0.0852666i
\(497\) 2.36393 0.339882i 0.106037 0.0152458i
\(498\) −5.19155 + 3.47685i −0.232639 + 0.155801i
\(499\) −11.6268 25.4590i −0.520485 1.13970i −0.969256 0.246056i \(-0.920865\pi\)
0.448771 0.893647i \(-0.351862\pi\)
\(500\) 17.8629 5.98742i 0.798853 0.267766i
\(501\) 24.9856 + 3.59239i 1.11628 + 0.160496i
\(502\) 16.0739 19.2749i 0.717411 0.860280i
\(503\) 8.02013 9.25572i 0.357600 0.412692i −0.548234 0.836325i \(-0.684700\pi\)
0.905834 + 0.423633i \(0.139245\pi\)
\(504\) 3.56703 + 2.75281i 0.158888 + 0.122620i
\(505\) 24.2737i 1.08016i
\(506\) 3.05411 + 7.30486i 0.135772 + 0.324741i
\(507\) −0.478062 −0.0212315
\(508\) −17.5906 + 29.7910i −0.780455 + 1.32176i
\(509\) −3.99714 3.46354i −0.177170 0.153519i 0.561761 0.827299i \(-0.310124\pi\)
−0.738932 + 0.673780i \(0.764669\pi\)
\(510\) 1.04035 1.24753i 0.0460674 0.0552415i
\(511\) −2.44610 + 17.0130i −0.108209 + 0.752611i
\(512\) 19.3632 + 11.7075i 0.855743 + 0.517402i
\(513\) 5.52028 2.52103i 0.243726 0.111306i
\(514\) −6.44039 9.61665i −0.284073 0.424172i
\(515\) −5.00534 34.8129i −0.220562 1.53404i
\(516\) 4.47042 + 3.58689i 0.196799 + 0.157904i
\(517\) −0.170695 + 0.0501205i −0.00750715 + 0.00220430i
\(518\) −0.857069 + 0.139817i −0.0376575 + 0.00614320i
\(519\) −8.15026 3.72210i −0.357757 0.163382i
\(520\) 24.3193 + 5.66523i 1.06647 + 0.248437i
\(521\) 4.39269 3.80629i 0.192447 0.166756i −0.553308 0.832977i \(-0.686635\pi\)
0.745755 + 0.666221i \(0.232089\pi\)
\(522\) 8.50159 2.67191i 0.372105 0.116946i
\(523\) 9.34854 + 14.5466i 0.408783 + 0.636079i 0.983210 0.182477i \(-0.0584115\pi\)
−0.574427 + 0.818556i \(0.694775\pi\)
\(524\) 3.03041 7.36013i 0.132384 0.321529i
\(525\) 1.64073 + 1.05443i 0.0716072 + 0.0460191i
\(526\) −19.7722 + 17.7983i −0.862109 + 0.776043i
\(527\) 0.262804 + 0.0771663i 0.0114479 + 0.00336142i
\(528\) 2.22049 4.10782i 0.0966343 0.178770i
\(529\) 11.6472 19.8329i 0.506400 0.862299i
\(530\) 25.3662 + 3.15880i 1.10184 + 0.137210i
\(531\) −1.95163 0.573052i −0.0846937 0.0248683i
\(532\) 11.0609 + 15.8588i 0.479550 + 0.687568i
\(533\) 9.92134 15.4379i 0.429741 0.668690i
\(534\) 3.68343 + 1.00630i 0.159398 + 0.0435470i
\(535\) −24.0813 37.4712i −1.04112 1.62002i
\(536\) −4.31258 + 0.244910i −0.186275 + 0.0105785i
\(537\) 6.64370 + 7.66724i 0.286697 + 0.330866i
\(538\) 37.4935 0.709071i 1.61646 0.0305702i
\(539\) −4.73848 2.16399i −0.204101 0.0932097i
\(540\) −4.98614 + 0.188662i −0.214569 + 0.00811871i
\(541\) −7.73400 26.3396i −0.332511 1.13243i −0.940871 0.338766i \(-0.889990\pi\)
0.608360 0.793661i \(-0.291828\pi\)
\(542\) 11.7742 + 7.25598i 0.505747 + 0.311671i
\(543\) −1.93476 13.4566i −0.0830285 0.577476i
\(544\) −2.59275 + 0.245873i −0.111163 + 0.0105417i
\(545\) −18.1153 39.6670i −0.775975 1.69915i
\(546\) −3.44825 7.18774i −0.147571 0.307607i
\(547\) −6.03953 + 42.0059i −0.258232 + 1.79604i 0.287185 + 0.957875i \(0.407281\pi\)
−0.545416 + 0.838165i \(0.683628\pi\)
\(548\) 16.3098 15.2496i 0.696718 0.651430i
\(549\) −6.17484 + 7.12615i −0.263536 + 0.304137i
\(550\) 0.804740 1.85414i 0.0343142 0.0790606i
\(551\) 38.2415 1.62914
\(552\) −13.4159 + 2.00327i −0.571019 + 0.0852650i
\(553\) 13.0654 0.555596
\(554\) 15.2620 35.1640i 0.648422 1.49398i
\(555\) 0.629764 0.726786i 0.0267320 0.0308504i
\(556\) 23.4142 + 25.0421i 0.992985 + 1.06202i
\(557\) −1.84560 + 12.8364i −0.0782006 + 0.543897i 0.912630 + 0.408787i \(0.134048\pi\)
−0.990831 + 0.135110i \(0.956861\pi\)
\(558\) −0.363917 0.758571i −0.0154058 0.0321129i
\(559\) −4.21268 9.22448i −0.178177 0.390154i
\(560\) −3.44505 15.5196i −0.145580 0.655824i
\(561\) 0.0764885 + 0.531989i 0.00322935 + 0.0224606i
\(562\) −33.6407 20.7314i −1.41905 0.874501i
\(563\) −0.615411 2.09590i −0.0259365 0.0883316i 0.945508 0.325600i \(-0.105566\pi\)
−0.971444 + 0.237268i \(0.923748\pi\)
\(564\) −0.0115240 0.304567i −0.000485246 0.0128246i
\(565\) −1.80373 0.823736i −0.0758835 0.0346549i
\(566\) −13.3387 + 0.252259i −0.560667 + 0.0106032i
\(567\) 1.04320 + 1.20392i 0.0438105 + 0.0505600i
\(568\) 4.23353 0.240421i 0.177635 0.0100878i
\(569\) 7.37674 + 11.4784i 0.309249 + 0.481201i 0.960738 0.277457i \(-0.0894917\pi\)
−0.651489 + 0.758658i \(0.725855\pi\)
\(570\) −20.6550 5.64289i −0.865142 0.236355i
\(571\) −8.79013 + 13.6777i −0.367856 + 0.572395i −0.975002 0.222195i \(-0.928678\pi\)
0.607146 + 0.794590i \(0.292314\pi\)
\(572\) −6.77651 + 4.72633i −0.283340 + 0.197618i
\(573\) 13.8117 + 4.05549i 0.576994 + 0.169421i
\(574\) −11.5936 1.44373i −0.483909 0.0602602i
\(575\) −5.71112 + 1.36313i −0.238170 + 0.0568464i
\(576\) 5.88970 + 5.41401i 0.245404 + 0.225584i
\(577\) 16.9510 + 4.97727i 0.705680 + 0.207206i 0.614832 0.788658i \(-0.289224\pi\)
0.0908485 + 0.995865i \(0.471042\pi\)
\(578\) −17.6457 + 15.8841i −0.733965 + 0.660692i
\(579\) −6.14535 3.94938i −0.255392 0.164130i
\(580\) −29.0744 11.9709i −1.20725 0.497064i
\(581\) −3.80516 5.92095i −0.157865 0.245642i
\(582\) −13.7058 + 4.30750i −0.568123 + 0.178552i
\(583\) −6.39191 + 5.53862i −0.264726 + 0.229386i
\(584\) −6.92374 + 29.7217i −0.286506 + 1.22989i
\(585\) 8.03058 + 3.66744i 0.332024 + 0.151630i
\(586\) 22.0567 3.59819i 0.911154 0.148640i
\(587\) −33.9337 + 9.96384i −1.40060 + 0.411252i −0.892888 0.450278i \(-0.851325\pi\)
−0.507707 + 0.861530i \(0.669507\pi\)
\(588\) 5.58516 6.96091i 0.230328 0.287063i
\(589\) −0.513814 3.57366i −0.0211713 0.147250i
\(590\) 3.99341 + 5.96287i 0.164406 + 0.245488i
\(591\) −19.0765 + 8.71195i −0.784702 + 0.358362i
\(592\) −1.53745 + 0.116512i −0.0631886 + 0.00478862i
\(593\) −3.63057 + 25.2512i −0.149090 + 1.03694i 0.768624 + 0.639700i \(0.220942\pi\)
−0.917714 + 0.397241i \(0.869968\pi\)
\(594\) 1.05735 1.26791i 0.0433835 0.0520231i
\(595\) 1.38285 + 1.19824i 0.0566912 + 0.0491232i
\(596\) −5.67436 3.35052i −0.232431 0.137242i
\(597\) −8.38275 −0.343083
\(598\) 22.7969 + 7.50391i 0.932236 + 0.306858i
\(599\) 23.7787i 0.971571i −0.874078 0.485786i \(-0.838534\pi\)
0.874078 0.485786i \(-0.161466\pi\)
\(600\) 2.74141 + 2.11565i 0.111918 + 0.0863712i
\(601\) 14.8985 17.1938i 0.607722 0.701348i −0.365605 0.930770i \(-0.619138\pi\)
0.973327 + 0.229422i \(0.0736835\pi\)
\(602\) −4.13489 + 4.95833i −0.168525 + 0.202086i
\(603\) −1.51164 0.217341i −0.0615587 0.00885081i
\(604\) 5.68156 + 16.9504i 0.231179 + 0.689702i
\(605\) −9.98800 21.8707i −0.406070 0.889169i
\(606\) 11.4326 7.65653i 0.464416 0.311025i
\(607\) −24.1431 + 3.47125i −0.979938 + 0.140894i −0.613625 0.789598i \(-0.710289\pi\)
−0.366313 + 0.930492i \(0.619380\pi\)
\(608\) 17.1455 + 29.7416i 0.695341 + 1.20618i
\(609\) 2.82812 + 9.63168i 0.114601 + 0.390295i
\(610\) 32.8348 5.35646i 1.32944 0.216877i
\(611\) −0.224017 + 0.490529i −0.00906277 + 0.0198447i
\(612\) −0.915720 0.0964875i −0.0370158 0.00390028i
\(613\) −18.9974 21.9241i −0.767297 0.885508i 0.228827 0.973467i \(-0.426511\pi\)
−0.996124 + 0.0879594i \(0.971965\pi\)
\(614\) 6.59522 + 20.9849i 0.266161 + 0.846883i
\(615\) 10.8842 6.99487i 0.438895 0.282061i
\(616\) 4.57906 + 2.58828i 0.184496 + 0.104285i
\(617\) 10.5219 16.3723i 0.423594 0.659126i −0.562216 0.826991i \(-0.690051\pi\)
0.985810 + 0.167865i \(0.0536873\pi\)
\(618\) −14.8176 + 13.3383i −0.596051 + 0.536546i
\(619\) −4.09735 + 13.9543i −0.164686 + 0.560870i 0.835253 + 0.549866i \(0.185321\pi\)
−0.999939 + 0.0110043i \(0.996497\pi\)
\(620\) −0.728030 + 2.87783i −0.0292384 + 0.115576i
\(621\) −4.78952 0.245933i −0.192197 0.00986894i
\(622\) 2.61728 21.0177i 0.104944 0.842732i
\(623\) −1.21179 + 4.12696i −0.0485492 + 0.165343i
\(624\) −5.00267 13.2410i −0.200267 0.530065i
\(625\) −24.9201 16.0152i −0.996804 0.640607i
\(626\) 6.75873 + 1.84647i 0.270133 + 0.0737998i
\(627\) 5.95988 3.83018i 0.238015 0.152963i
\(628\) 8.62691 + 47.2425i 0.344251 + 1.88518i
\(629\) 0.134119 0.116215i 0.00534769 0.00463380i
\(630\) −0.106276 5.61957i −0.00423416 0.223889i
\(631\) −14.7655 + 32.3319i −0.587805 + 1.28711i 0.348954 + 0.937140i \(0.386537\pi\)
−0.936759 + 0.349974i \(0.886190\pi\)
\(632\) 23.1119 + 1.99419i 0.919341 + 0.0793245i
\(633\) 4.75341 1.39573i 0.188931 0.0554751i
\(634\) −24.9280 15.3621i −0.990017 0.610107i
\(635\) 42.7176 6.14186i 1.69520 0.243732i
\(636\) −6.51340 12.9435i −0.258273 0.513244i
\(637\) −14.3635 + 6.55958i −0.569102 + 0.259900i
\(638\) 9.37974 4.49984i 0.371347 0.178150i
\(639\) 1.48393 + 0.213357i 0.0587035 + 0.00844028i
\(640\) −3.72530 27.9791i −0.147255 1.10597i
\(641\) −0.308165 0.267026i −0.0121718 0.0105469i 0.648754 0.760999i \(-0.275291\pi\)
−0.660925 + 0.750452i \(0.729836\pi\)
\(642\) −10.0526 + 23.1613i −0.396743 + 0.914104i
\(643\) 33.5810i 1.32431i 0.749369 + 0.662153i \(0.230357\pi\)
−0.749369 + 0.662153i \(0.769643\pi\)
\(644\) −1.97040 15.1521i −0.0776448 0.597077i
\(645\) 7.14966i 0.281518i
\(646\) −3.62463 1.57318i −0.142609 0.0618958i
\(647\) −21.9978 19.0612i −0.864821 0.749372i 0.104668 0.994507i \(-0.466622\pi\)
−0.969489 + 0.245136i \(0.921167\pi\)
\(648\) 1.66161 + 2.28890i 0.0652743 + 0.0899163i
\(649\) −2.35033 0.337926i −0.0922585 0.0132648i
\(650\) −2.65012 5.52408i −0.103946 0.216672i
\(651\) 0.862078 0.393698i 0.0337875 0.0154302i
\(652\) −11.6572 23.1654i −0.456532 0.907226i
\(653\) 32.1023 4.61561i 1.25626 0.180623i 0.518142 0.855295i \(-0.326624\pi\)
0.738118 + 0.674672i \(0.235715\pi\)
\(654\) −12.9686 + 21.0440i −0.507112 + 0.822887i
\(655\) −9.52681 + 2.79732i −0.372243 + 0.109300i
\(656\) −20.2881 4.32343i −0.792118 0.168802i
\(657\) −4.48215 + 9.81453i −0.174865 + 0.382901i
\(658\) 0.343259 0.00649165i 0.0133816 0.000253071i
\(659\) −23.7816 + 20.6068i −0.926398 + 0.802729i −0.980644 0.195799i \(-0.937270\pi\)
0.0542457 + 0.998528i \(0.482725\pi\)
\(660\) −5.73017 + 1.04638i −0.223047 + 0.0407303i
\(661\) −8.43733 + 5.42234i −0.328174 + 0.210905i −0.694344 0.719643i \(-0.744305\pi\)
0.366170 + 0.930548i \(0.380669\pi\)
\(662\) −10.8518 + 39.7214i −0.421767 + 1.54382i
\(663\) 1.37054 + 0.880795i 0.0532275 + 0.0342073i
\(664\) −5.82739 11.0546i −0.226147 0.429002i
\(665\) 6.79514 23.1421i 0.263504 0.897413i
\(666\) −0.540950 0.0673633i −0.0209614 0.00261028i
\(667\) −26.8097 13.9473i −1.03808 0.540040i
\(668\) −12.3816 + 48.9433i −0.479059 + 1.89367i
\(669\) 0.286088 0.974326i 0.0110608 0.0376696i
\(670\) 3.60495 + 4.00476i 0.139272 + 0.154717i
\(671\) −5.95115 + 9.26017i −0.229742 + 0.357485i
\(672\) −6.22288 + 6.51785i −0.240053 + 0.251432i
\(673\) 18.9734 12.1935i 0.731371 0.470023i −0.121205 0.992628i \(-0.538676\pi\)
0.852575 + 0.522604i \(0.175039\pi\)
\(674\) −35.2720 + 11.0854i −1.35863 + 0.426994i
\(675\) 0.801747 + 0.925266i 0.0308593 + 0.0356135i
\(676\) 0.100190 0.950861i 0.00385347 0.0365716i
\(677\) −3.46712 + 7.59194i −0.133252 + 0.291782i −0.964483 0.264146i \(-0.914910\pi\)
0.831230 + 0.555928i \(0.187637\pi\)
\(678\) 0.180974 + 1.10936i 0.00695027 + 0.0426047i
\(679\) −4.55933 15.5277i −0.174971 0.595897i
\(680\) 2.26329 + 2.33069i 0.0867931 + 0.0893779i
\(681\) −19.5985 + 2.81783i −0.751015 + 0.107980i
\(682\) −0.546534 0.816073i −0.0209279 0.0312491i
\(683\) −14.1890 31.0696i −0.542927 1.18884i −0.960007 0.279975i \(-0.909674\pi\)
0.417080 0.908870i \(-0.363053\pi\)
\(684\) 3.85738 + 11.5081i 0.147491 + 0.440024i
\(685\) −27.5696 3.96391i −1.05338 0.151453i
\(686\) 19.8320 + 16.5385i 0.757190 + 0.631441i
\(687\) −2.00137 + 2.30970i −0.0763569 + 0.0881205i
\(688\) −8.07117 + 8.13988i −0.307711 + 0.310330i
\(689\) 25.6373i 0.976705i
\(690\) 12.4224 + 11.4892i 0.472912 + 0.437387i
\(691\) 14.1716 0.539112 0.269556 0.962985i \(-0.413123\pi\)
0.269556 + 0.962985i \(0.413123\pi\)
\(692\) 9.11131 15.4307i 0.346360 0.586588i
\(693\) 1.40545 + 1.21783i 0.0533885 + 0.0462614i
\(694\) −20.6472 17.2183i −0.783759 0.653598i
\(695\) 6.08619 42.3304i 0.230862 1.60568i
\(696\) 3.53268 + 17.4695i 0.133906 + 0.662181i
\(697\) 2.17181 0.991832i 0.0822632 0.0375683i
\(698\) −2.97519 + 1.99252i −0.112613 + 0.0754181i
\(699\) −1.80643 12.5640i −0.0683255 0.475214i
\(700\) −2.44111 + 3.04240i −0.0922652 + 0.114992i
\(701\) 24.4946 7.19226i 0.925148 0.271648i 0.215744 0.976450i \(-0.430782\pi\)
0.709404 + 0.704802i \(0.248964\pi\)
\(702\) −0.805733 4.93910i −0.0304104 0.186414i
\(703\) −2.12787 0.971765i −0.0802541 0.0366508i
\(704\) 7.70504 + 5.27742i 0.290395 + 0.198900i
\(705\) −0.287334 + 0.248976i −0.0108216 + 0.00937698i
\(706\) 2.30002 + 7.31829i 0.0865624 + 0.275428i
\(707\) 8.37953 + 13.0388i 0.315145 + 0.490374i
\(708\) 1.54881 3.76168i 0.0582078 0.141373i
\(709\) 25.1352 + 16.1534i 0.943974 + 0.606655i 0.919519 0.393046i \(-0.128579\pi\)
0.0244548 + 0.999701i \(0.492215\pi\)
\(710\) −3.53888 3.93135i −0.132812 0.147541i
\(711\) 7.86941 + 2.31067i 0.295126 + 0.0866568i
\(712\) −2.77348 + 7.11540i −0.103941 + 0.266661i
\(713\) −0.943151 + 2.69275i −0.0353213 + 0.100844i
\(714\) 0.128171 1.02926i 0.00479669 0.0385190i
\(715\) 9.88868 + 2.90358i 0.369816 + 0.108588i
\(716\) −16.6424 + 11.6074i −0.621956 + 0.433788i
\(717\) −12.1370 + 18.8855i −0.453264 + 0.705293i
\(718\) −12.6278 + 46.2223i −0.471266 + 1.72500i
\(719\) 15.7938 + 24.5757i 0.589011 + 0.916519i 0.999988 + 0.00487329i \(0.00155122\pi\)
−0.410977 + 0.911646i \(0.634812\pi\)
\(720\) 0.669727 9.95692i 0.0249593 0.371073i
\(721\) −14.7064 16.9721i −0.547697 0.632076i
\(722\) 0.476760 + 25.2096i 0.0177432 + 0.938205i
\(723\) 27.3351 + 12.4835i 1.01660 + 0.464267i
\(724\) 27.1704 1.02805i 1.00978 0.0382073i
\(725\) 2.17353 + 7.40235i 0.0807228 + 0.274917i
\(726\) −7.15032 + 11.6028i −0.265373 + 0.430619i
\(727\) 1.10257 + 7.66855i 0.0408921 + 0.284411i 0.999999 + 0.00136696i \(0.000435117\pi\)
−0.959107 + 0.283044i \(0.908656\pi\)
\(728\) 15.0190 5.35215i 0.556641 0.198364i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) 34.3230 16.4661i 1.27035 0.609438i
\(731\) 0.187768 1.30595i 0.00694484 0.0483024i
\(732\) −12.8797 13.7752i −0.476049 0.509145i
\(733\) 0.886967 1.02361i 0.0327609 0.0378081i −0.739133 0.673560i \(-0.764764\pi\)
0.771894 + 0.635752i \(0.219310\pi\)
\(734\) 0.192902 + 0.0837242i 0.00712015 + 0.00309032i
\(735\) −11.1328 −0.410639
\(736\) −1.17284 27.1040i −0.0432314 0.999065i
\(737\) −1.78282 −0.0656709
\(738\) −6.72765 2.91996i −0.247648 0.107485i
\(739\) −32.3937 + 37.3843i −1.19162 + 1.37520i −0.282184 + 0.959360i \(0.591059\pi\)
−0.909436 + 0.415843i \(0.863486\pi\)
\(740\) 1.31359 + 1.40491i 0.0482884 + 0.0516455i
\(741\) 3.05620 21.2563i 0.112272 0.780870i
\(742\) 14.7161 7.05992i 0.540246 0.259178i
\(743\) 1.62522 + 3.55874i 0.0596236 + 0.130557i 0.937098 0.349065i \(-0.113501\pi\)
−0.877475 + 0.479623i \(0.840774\pi\)
\(744\) 1.58506 0.564849i 0.0581110 0.0207084i
\(745\) 1.16986 + 8.13652i 0.0428602 + 0.298099i
\(746\) 10.9635 17.7905i 0.401404 0.651355i
\(747\) −1.24475 4.23922i −0.0455429 0.155105i
\(748\) −1.07415 + 0.0406429i −0.0392748 + 0.00148605i
\(749\) −25.8709 11.8148i −0.945302 0.431705i
\(750\) 0.251892 + 13.3193i 0.00919778 + 0.486350i
\(751\) 5.40945 + 6.24284i 0.197394 + 0.227804i 0.845814 0.533478i \(-0.179115\pi\)
−0.648420 + 0.761283i \(0.724570\pi\)
\(752\) 0.608195 + 0.0409087i 0.0221786 + 0.00149179i
\(753\) 9.59459 + 14.9295i 0.349646 + 0.544060i
\(754\) 8.31068 30.4200i 0.302657 1.10783i
\(755\) 12.0566 18.7604i 0.438784 0.682762i
\(756\) −2.61322 + 1.82261i −0.0950419 + 0.0662877i
\(757\) −14.4573 4.24506i −0.525461 0.154289i 0.00823426 0.999966i \(-0.497379\pi\)
−0.533695 + 0.845677i \(0.679197\pi\)
\(758\) 2.05018 16.4636i 0.0744657 0.597984i
\(759\) −5.57518 + 0.511539i −0.202366 + 0.0185677i
\(760\) 15.5524 39.8999i 0.564146 1.44732i
\(761\) 44.8587 + 13.1717i 1.62613 + 0.477474i 0.962656 0.270729i \(-0.0872647\pi\)
0.663470 + 0.748203i \(0.269083\pi\)
\(762\) −16.3669 18.1821i −0.592912 0.658668i
\(763\) −23.4243 15.0539i −0.848016 0.544986i
\(764\) −10.9609 + 26.6215i −0.396553 + 0.963131i
\(765\) 0.620990 + 0.966279i 0.0224519 + 0.0349359i
\(766\) −6.37432 20.2821i −0.230314 0.732821i
\(767\) −5.43964 + 4.71348i −0.196414 + 0.170194i
\(768\) −12.0027 + 10.5799i −0.433112 + 0.381769i
\(769\) −21.0832 9.62838i −0.760280 0.347208i −0.00273933 0.999996i \(-0.500872\pi\)
−0.757541 + 0.652788i \(0.773599\pi\)
\(770\) −1.05642 6.47579i −0.0380707 0.233371i
\(771\) 7.85258 2.30572i 0.282804 0.0830386i
\(772\) 9.14318 11.3953i 0.329070 0.410127i
\(773\) 0.00105957 + 0.00736947i 3.81101e−5 + 0.000265061i 0.989840 0.142182i \(-0.0454119\pi\)
−0.989802 + 0.142447i \(0.954503\pi\)
\(774\) −3.36739 + 2.25519i −0.121038 + 0.0810610i
\(775\) 0.662544 0.302574i 0.0237993 0.0108688i
\(776\) −5.69518 28.1634i −0.204445 1.01101i
\(777\) 0.0873885 0.607800i 0.00313505 0.0218047i
\(778\) 5.29935 + 4.41928i 0.189991 + 0.158439i
\(779\) −23.7848 20.6096i −0.852178 0.738417i
\(780\) −8.97752 + 15.2041i −0.321447 + 0.544395i
\(781\) 1.75014 0.0626249
\(782\) 1.96733 + 2.42486i 0.0703516 + 0.0867126i
\(783\) 6.30144i 0.225195i
\(784\) 12.6747 + 12.5677i 0.452666 + 0.448845i
\(785\) 39.2302 45.2741i 1.40019 1.61590i
\(786\) 4.32250 + 3.60465i 0.154178 + 0.128574i
\(787\) 4.45315 + 0.640267i 0.158738 + 0.0228230i 0.221225 0.975223i \(-0.428994\pi\)
−0.0624877 + 0.998046i \(0.519903\pi\)
\(788\) −13.3300 39.7688i −0.474862 1.41670i
\(789\) −7.81443 17.1112i −0.278201 0.609176i
\(790\) −16.1023 24.0436i −0.572894 0.855433i
\(791\) −1.25325 + 0.180190i −0.0445605 + 0.00640683i
\(792\) 2.30027 + 2.36878i 0.0817366 + 0.0841709i
\(793\) 9.40047 + 32.0151i 0.333821 + 1.13689i
\(794\) −2.17064 13.3059i −0.0770331 0.472208i
\(795\) −7.50870 + 16.4418i −0.266306 + 0.583129i
\(796\) 1.75682 16.6732i 0.0622688 0.590966i
\(797\) 33.5215 + 38.6859i 1.18739 + 1.37032i 0.912616 + 0.408817i \(0.134059\pi\)
0.274777 + 0.961508i \(0.411396\pi\)
\(798\) −13.0430 + 4.09920i −0.461717 + 0.145110i
\(799\) −0.0590229 + 0.0379317i −0.00208808 + 0.00134193i
\(800\) −4.78254 + 5.00925i −0.169088 + 0.177104i
\(801\) −1.45975 + 2.27141i −0.0515776 + 0.0802562i
\(802\) 4.12380 + 4.58115i 0.145616 + 0.161766i
\(803\) −3.54859 + 12.0854i −0.125227 + 0.426484i
\(804\) 0.749092 2.96109i 0.0264184 0.104429i
\(805\) −13.2041 + 13.7458i −0.465384 + 0.484476i
\(806\) −2.95440 0.367905i −0.104064 0.0129589i
\(807\) −7.47060 + 25.4425i −0.262978 + 0.895620i
\(808\) 12.8328 + 24.3439i 0.451455 + 0.856414i
\(809\) −7.65544 4.91985i −0.269151 0.172973i 0.399103 0.916906i \(-0.369322\pi\)
−0.668254 + 0.743933i \(0.732958\pi\)
\(810\) 0.929836 3.40353i 0.0326711 0.119588i
\(811\) 7.37336 4.73857i 0.258914 0.166394i −0.404744 0.914430i \(-0.632639\pi\)
0.663658 + 0.748036i \(0.269003\pi\)
\(812\) −19.7500 + 3.60653i −0.693090 + 0.126564i
\(813\) −7.39094 + 6.40429i −0.259212 + 0.224608i
\(814\) −0.636262 + 0.0120329i −0.0223010 + 0.000421753i
\(815\) −13.4385 + 29.4263i −0.470731 + 1.03076i
\(816\) 0.383825 1.80114i 0.0134366 0.0630524i
\(817\) −16.6870 + 4.89974i −0.583803 + 0.171420i
\(818\) 17.4441 28.3064i 0.609918 0.989710i
\(819\) 5.57973 0.802244i 0.194972 0.0280327i
\(820\) 11.6317 + 23.1146i 0.406195 + 0.807196i
\(821\) 32.9381 15.0423i 1.14955 0.524981i 0.252799 0.967519i \(-0.418649\pi\)
0.896750 + 0.442537i \(0.145922\pi\)
\(822\) 6.82920 + 14.2352i 0.238196 + 0.496510i
\(823\) −15.3713 2.21005i −0.535809 0.0770376i −0.130901 0.991395i \(-0.541787\pi\)
−0.404907 + 0.914358i \(0.632696\pi\)
\(824\) −23.4244 32.2674i −0.816026 1.12409i
\(825\) 1.08014 + 0.935950i 0.0376058 + 0.0325856i
\(826\) 4.20354 + 1.82444i 0.146260 + 0.0634803i
\(827\) 33.0459i 1.14912i 0.818463 + 0.574559i \(0.194827\pi\)
−0.818463 + 0.574559i \(0.805173\pi\)
\(828\) 1.49292 9.47477i 0.0518827 0.329271i
\(829\) 49.2065i 1.70901i −0.519442 0.854506i \(-0.673860\pi\)
0.519442 0.854506i \(-0.326140\pi\)
\(830\) −6.20642 + 14.2997i −0.215428 + 0.496350i
\(831\) 20.4851 + 17.7505i 0.710621 + 0.615756i
\(832\) 27.3847 7.17527i 0.949392 0.248758i
\(833\) −2.03351 0.292374i −0.0704568 0.0101302i
\(834\) −21.8568 + 10.4856i −0.756838 + 0.363086i
\(835\) 57.2855 26.1614i 1.98245 0.905353i
\(836\) 6.36915 + 12.6569i 0.220282 + 0.437746i
\(837\) 0.588867 0.0846663i 0.0203542 0.00292649i
\(838\) −46.8587 28.8771i −1.61871 0.997544i
\(839\) −6.71244 + 1.97095i −0.231739 + 0.0680447i −0.395540 0.918449i \(-0.629443\pi\)
0.163801 + 0.986493i \(0.447624\pi\)
\(840\) 11.1995 + 0.966342i 0.386421 + 0.0333420i
\(841\) −4.44831 + 9.74044i −0.153390 + 0.335877i
\(842\) −0.789782 41.7612i −0.0272177 1.43919i
\(843\) 21.1170 18.2980i 0.727308 0.630216i
\(844\) 1.77989 + 9.74698i 0.0612662 + 0.335505i
\(845\) −1.00336 + 0.644820i −0.0345166 + 0.0221825i
\(846\) 0.207897 + 0.0567969i 0.00714763 + 0.00195272i
\(847\) −12.9151 8.30005i −0.443769 0.285193i
\(848\) 27.1096 10.2424i 0.930946 0.351727i
\(849\) 2.65774 9.05143i 0.0912134 0.310644i
\(850\) 0.0985051 0.791029i 0.00337870 0.0271321i
\(851\) 1.13735 + 1.45733i 0.0389879 + 0.0499568i
\(852\) −0.735361 + 2.90681i −0.0251931 + 0.0995857i
\(853\) 4.41104 15.0226i 0.151031 0.514365i −0.848867 0.528606i \(-0.822715\pi\)
0.999899 + 0.0142407i \(0.00453310\pi\)
\(854\) 15.7884 14.2122i 0.540267 0.486331i
\(855\) 8.18558 12.7370i 0.279941 0.435597i
\(856\) −43.9608 24.8485i −1.50255 0.849304i
\(857\) −27.5517 + 17.7064i −0.941147 + 0.604839i −0.918720 0.394910i \(-0.870776\pi\)
−0.0224274 + 0.999748i \(0.507139\pi\)
\(858\) −1.75159 5.57329i −0.0597984 0.190269i
\(859\) −28.6934 33.1139i −0.979005 1.12983i −0.991526 0.129910i \(-0.958531\pi\)
0.0125209 0.999922i \(-0.496014\pi\)
\(860\) 14.2206 + 1.49839i 0.484919 + 0.0510948i
\(861\) 3.43185 7.51471i 0.116957 0.256101i
\(862\) 8.15583 1.33049i 0.277789 0.0453167i
\(863\) 0.842832 + 2.87042i 0.0286903 + 0.0977103i 0.972594 0.232512i \(-0.0746945\pi\)
−0.943903 + 0.330222i \(0.892876\pi\)
\(864\) −4.90082 + 2.82523i −0.166729 + 0.0961164i
\(865\) −22.1263 + 3.18128i −0.752316 + 0.108167i
\(866\) 20.2830 13.5838i 0.689245 0.461596i
\(867\) −6.97400 15.2709i −0.236850 0.518628i
\(868\) 0.602391 + 1.79717i 0.0204465 + 0.0610001i
\(869\) 9.47704 + 1.36259i 0.321487 + 0.0462228i
\(870\) 14.2393 17.0749i 0.482756 0.578895i
\(871\) −3.53896 + 4.08418i −0.119913 + 0.138387i
\(872\) −39.1385 30.2047i −1.32540 1.02286i
\(873\) 10.1588i 0.343824i
\(874\) 18.3021 36.8669i 0.619077 1.24704i
\(875\) −15.0059 −0.507293
\(876\) −18.5816 10.9718i −0.627816 0.370704i
\(877\) −27.9210 24.1937i −0.942824 0.816962i 0.0404337 0.999182i \(-0.487126\pi\)
−0.983258 + 0.182221i \(0.941672\pi\)
\(878\) −8.42352 + 10.1010i −0.284280 + 0.340893i
\(879\) −2.24895 + 15.6418i −0.0758551 + 0.527584i
\(880\) −0.880336 11.6165i −0.0296761 0.391594i
\(881\) −1.43769 + 0.656571i −0.0484370 + 0.0221204i −0.439486 0.898249i \(-0.644839\pi\)
0.391049 + 0.920370i \(0.372112\pi\)
\(882\) 3.51156 + 5.24338i 0.118240 + 0.176554i
\(883\) 0.286122 + 1.99002i 0.00962876 + 0.0669695i 0.994069 0.108749i \(-0.0346844\pi\)
−0.984441 + 0.175718i \(0.943775\pi\)
\(884\) −2.03912 + 2.54140i −0.0685832 + 0.0854767i
\(885\) −4.86904 + 1.42968i −0.163671 + 0.0480582i
\(886\) 6.14584 1.00259i 0.206474 0.0336828i
\(887\) 33.2192 + 15.1707i 1.11539 + 0.509382i 0.885876 0.463923i \(-0.153558\pi\)
0.229516 + 0.973305i \(0.426286\pi\)
\(888\) 0.247355 1.06183i 0.00830068 0.0356325i
\(889\) 20.8259 18.0457i 0.698477 0.605234i
\(890\) 9.08813 2.85625i 0.304635 0.0957417i
\(891\) 0.631138 + 0.982070i 0.0211439 + 0.0329006i
\(892\) 1.87797 + 0.773221i 0.0628790 + 0.0258893i
\(893\) 0.778011 + 0.499997i 0.0260351 + 0.0167318i
\(894\) 3.46319 3.11745i 0.115826 0.104263i
\(895\) 24.2856 + 7.13089i 0.811777 + 0.238359i
\(896\) −11.6598 13.7432i −0.389526 0.459129i
\(897\) −9.89509 + 13.7874i −0.330388 + 0.460347i
\(898\) 55.0430 + 6.85438i 1.83681 + 0.228734i
\(899\) 3.59701 + 1.05618i 0.119967 + 0.0352255i
\(900\) −2.00837 + 1.40075i −0.0669457 + 0.0466918i
\(901\) −1.80334 + 2.80604i −0.0600778 + 0.0934829i
\(902\) −8.25896 2.25633i −0.274993 0.0751275i
\(903\) −2.46814 3.84050i −0.0821346 0.127804i
\(904\) −2.24443 + 0.127461i −0.0746487 + 0.00423928i
\(905\) −22.2112 25.6331i −0.738324 0.852072i
\(906\) −12.6389 + 0.239024i −0.419898 + 0.00794104i
\(907\) −10.4825 4.78722i −0.348067 0.158957i 0.233707 0.972307i \(-0.424914\pi\)
−0.581775 + 0.813350i \(0.697641\pi\)
\(908\) −1.49728 39.5717i −0.0496890 1.31323i
\(909\) 2.74111 + 9.33537i 0.0909170 + 0.309635i
\(910\) −16.9322 10.4346i −0.561296 0.345904i
\(911\) 1.44276 + 10.0346i 0.0478006 + 0.332461i 0.999664 + 0.0259368i \(0.00825687\pi\)
−0.951863 + 0.306524i \(0.900834\pi\)
\(912\) −23.6980 + 5.26047i −0.784718 + 0.174192i
\(913\) −2.14260 4.69164i −0.0709097 0.155271i
\(914\) 4.99616 + 10.4143i 0.165258 + 0.344475i
\(915\) −3.34790 + 23.2852i −0.110678 + 0.769783i
\(916\) −4.17453 4.46475i −0.137930 0.147520i
\(917\) −4.15174 + 4.79136i −0.137102 + 0.158225i
\(918\) 0.259228 0.597267i 0.00855581 0.0197127i
\(919\) 37.1389 1.22510 0.612549 0.790432i \(-0.290144\pi\)
0.612549 + 0.790432i \(0.290144\pi\)
\(920\) −25.4554 + 22.3001i −0.839238 + 0.735214i
\(921\) −15.5542 −0.512527
\(922\) 5.64749 13.0119i 0.185990 0.428525i
\(923\) 3.47410 4.00932i 0.114351 0.131968i
\(924\) −2.71679 + 2.54019i −0.0893758 + 0.0835661i
\(925\) 0.0671618 0.467120i 0.00220827 0.0153588i
\(926\) 19.5832 + 40.8205i 0.643544 + 1.34144i
\(927\) −5.85626 12.8234i −0.192345 0.421176i
\(928\) −35.4871 + 3.36527i −1.16492 + 0.110470i
\(929\) 8.23560 + 57.2798i 0.270201 + 1.87929i 0.446248 + 0.894909i \(0.352760\pi\)
−0.176047 + 0.984382i \(0.556331\pi\)
\(930\) −1.78697 1.10123i −0.0585969 0.0361109i
\(931\) 7.62940 + 25.9834i 0.250044 + 0.851570i
\(932\) 25.3682 0.959864i 0.830964 0.0314414i
\(933\) 13.6231 + 6.22147i 0.446001 + 0.203682i
\(934\) −22.9966 + 0.434908i −0.752472 + 0.0142306i
\(935\) 0.878092 + 1.01337i 0.0287167 + 0.0331408i
\(936\) 9.99267 0.567481i 0.326621 0.0185487i
\(937\) −0.889974 1.38483i −0.0290742 0.0452403i 0.826412 0.563066i \(-0.190378\pi\)
−0.855486 + 0.517825i \(0.826742\pi\)
\(938\) 3.31892 + 0.906720i 0.108366 + 0.0296055i
\(939\) −2.67849 + 4.16781i −0.0874092 + 0.136011i
\(940\) −0.434993 0.623683i −0.0141879 0.0203423i
\(941\) 25.1812 + 7.39388i 0.820885 + 0.241034i 0.665097 0.746757i \(-0.268390\pi\)
0.155788 + 0.987791i \(0.450208\pi\)
\(942\) −33.6977 4.19630i −1.09793 0.136723i
\(943\) 9.15797 + 23.1233i 0.298225 + 0.752999i
\(944\) 7.15735 + 3.86892i 0.232952 + 0.125923i
\(945\) 3.81336 + 1.11970i 0.124049 + 0.0364240i
\(946\) −3.51637 + 3.16533i −0.114327 + 0.102914i
\(947\) 27.0474 + 17.3823i 0.878924 + 0.564850i 0.900470 0.434918i \(-0.143223\pi\)
−0.0215465 + 0.999768i \(0.506859\pi\)
\(948\) −6.24513 + 15.1679i −0.202832 + 0.492631i
\(949\) 20.6418 + 32.1193i 0.670062 + 1.04264i
\(950\) −10.0241 + 3.15041i −0.325224 + 0.102213i
\(951\) 15.6478 13.5589i 0.507416 0.439679i
\(952\) 2.02032 + 0.470639i 0.0654790 + 0.0152535i
\(953\) −52.8138 24.1193i −1.71081 0.781300i −0.996692 0.0812732i \(-0.974101\pi\)
−0.714117 0.700027i \(-0.753171\pi\)
\(954\) 10.1123 1.64965i 0.327397 0.0534095i
\(955\) 34.4583 10.1179i 1.11504 0.327407i
\(956\) −35.0195 28.0983i −1.13261 0.908763i
\(957\) 1.04690 + 7.28135i 0.0338415 + 0.235373i
\(958\) 17.5692 + 26.2340i 0.567636 + 0.847582i
\(959\) −16.1776 + 7.38806i −0.522402 + 0.238573i
\(960\) 19.6639 + 3.41881i 0.634648 + 0.110342i
\(961\) −4.36139 + 30.3341i −0.140690 + 0.978520i
\(962\) −1.23544 + 1.48147i −0.0398322 + 0.0477646i
\(963\) −13.4928 11.6916i −0.434800 0.376757i
\(964\) −30.5583 + 51.7529i −0.984217 + 1.66685i
\(965\) −18.2249 −0.586680
\(966\) 10.6390 + 1.88318i 0.342304 + 0.0605904i
\(967\) 45.1989i 1.45350i −0.686903 0.726749i \(-0.741030\pi\)
0.686903 0.726749i \(-0.258970\pi\)
\(968\) −21.5793 16.6536i −0.693584 0.535266i
\(969\) 1.82968 2.11156i 0.0587777 0.0678331i
\(970\) −22.9557 + 27.5273i −0.737064 + 0.883847i
\(971\) 14.0038 + 2.01344i 0.449402 + 0.0646143i 0.363300 0.931672i \(-0.381650\pi\)
0.0861018 + 0.996286i \(0.472559\pi\)
\(972\) −1.89631 + 0.635619i −0.0608241 + 0.0203875i
\(973\) −11.3437 24.8391i −0.363661 0.796306i
\(974\) −29.9572 + 20.0627i −0.959891 + 0.642851i
\(975\) 4.28826 0.616559i 0.137334 0.0197457i
\(976\) 30.0979 22.7307i 0.963411 0.727593i
\(977\) 7.88719 + 26.8613i 0.252334 + 0.859369i 0.984070 + 0.177782i \(0.0568921\pi\)
−0.731736 + 0.681588i \(0.761290\pi\)
\(978\) 18.0982 2.95243i 0.578717 0.0944083i
\(979\) −1.30938 + 2.86714i −0.0418480 + 0.0916343i
\(980\) 2.33316 22.1430i 0.0745300 0.707331i
\(981\) −11.4464 13.2098i −0.365454 0.421757i
\(982\) 16.8158 + 53.5053i 0.536615 + 1.70742i
\(983\) −6.51249 + 4.18532i −0.207716 + 0.133491i −0.640363 0.768072i \(-0.721216\pi\)
0.432647 + 0.901563i \(0.357580\pi\)
\(984\) 7.21773 12.7693i 0.230093 0.407070i
\(985\) −28.2870 + 44.0155i −0.901299 + 1.40245i
\(986\) 3.04937 2.74494i 0.0971116 0.0874167i
\(987\) −0.0683945 + 0.232930i −0.00217702 + 0.00741425i
\(988\) 41.6381 + 10.5335i 1.32468 + 0.335117i
\(989\) 13.4856 + 2.65097i 0.428818 + 0.0842960i
\(990\) 0.508980 4.08728i 0.0161764 0.129902i
\(991\) −14.6836 + 50.0079i −0.466441 + 1.58855i 0.305065 + 0.952331i \(0.401322\pi\)
−0.771507 + 0.636221i \(0.780496\pi\)
\(992\) 0.791289 + 3.27104i 0.0251234 + 0.103856i
\(993\) −24.4944 15.7416i −0.777307 0.499545i
\(994\) −3.25808 0.890100i −0.103340 0.0282323i
\(995\) −17.5938 + 11.3068i −0.557760 + 0.358450i
\(996\) 8.69262 1.58735i 0.275436 0.0502971i
\(997\) −36.7724 + 31.8635i −1.16459 + 1.00913i −0.164854 + 0.986318i \(0.552715\pi\)
−0.999740 + 0.0228082i \(0.992739\pi\)
\(998\) 0.748424 + 39.5743i 0.0236909 + 1.25270i
\(999\) 0.160127 0.350630i 0.00506621 0.0110934i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 552.2.t.a.235.4 yes 240
8.3 odd 2 inner 552.2.t.a.235.1 240
23.14 odd 22 inner 552.2.t.a.451.1 yes 240
184.83 even 22 inner 552.2.t.a.451.4 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
552.2.t.a.235.1 240 8.3 odd 2 inner
552.2.t.a.235.4 yes 240 1.1 even 1 trivial
552.2.t.a.451.1 yes 240 23.14 odd 22 inner
552.2.t.a.451.4 yes 240 184.83 even 22 inner