Properties

Label 322.2.o.b.171.3
Level $322$
Weight $2$
Character 322.171
Analytic conductor $2.571$
Analytic rank $0$
Dimension $160$
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] = [322,2,Mod(5,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([55, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.o (of order \(66\), degree \(20\), 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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 171.3
Character \(\chi\) \(=\) 322.171
Dual form 322.2.o.b.145.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.327068 + 0.945001i) q^{2} +(-0.409854 - 0.795005i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-3.57396 + 0.341272i) q^{5} +(0.885331 - 0.127291i) q^{6} +(2.38128 + 1.15305i) q^{7} +(0.841254 - 0.540641i) q^{8} +(1.27612 - 1.79206i) q^{9} +O(q^{10})\) \(q+(-0.327068 + 0.945001i) q^{2} +(-0.409854 - 0.795005i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-3.57396 + 0.341272i) q^{5} +(0.885331 - 0.127291i) q^{6} +(2.38128 + 1.15305i) q^{7} +(0.841254 - 0.540641i) q^{8} +(1.27612 - 1.79206i) q^{9} +(0.846426 - 3.48902i) q^{10} +(3.92807 - 1.35952i) q^{11} +(-0.169273 + 0.878271i) q^{12} +(1.28256 + 4.36798i) q^{13} +(-1.86847 + 1.87318i) q^{14} +(1.73611 + 2.70145i) q^{15} +(0.235759 + 0.971812i) q^{16} +(1.39565 + 0.558733i) q^{17} +(1.27612 + 1.79206i) q^{18} +(2.06979 - 0.828619i) q^{19} +(3.02028 + 1.94102i) q^{20} +(-0.0592943 - 2.36571i) q^{21} +4.15668i q^{22} +(2.82675 + 3.87421i) q^{23} +(-0.774603 - 0.447217i) q^{24} +(7.74709 - 1.49313i) q^{25} +(-4.54723 - 0.216611i) q^{26} +(-4.60371 - 0.661913i) q^{27} +(-1.15904 - 2.37837i) q^{28} +(-0.850602 - 5.91607i) q^{29} +(-3.12070 + 0.757073i) q^{30} +(8.60423 - 0.409870i) q^{31} +(-0.995472 - 0.0950560i) q^{32} +(-2.69076 - 2.56563i) q^{33} +(-0.984475 + 1.13615i) q^{34} +(-8.90409 - 3.30829i) q^{35} +(-2.11087 + 0.619808i) q^{36} +(-2.64991 - 1.88700i) q^{37} +(0.106084 + 2.22697i) q^{38} +(2.94691 - 2.80987i) q^{39} +(-2.82210 + 2.21933i) q^{40} +(0.727159 + 0.332082i) q^{41} +(2.25499 + 0.717714i) q^{42} +(2.28736 - 3.55919i) q^{43} +(-3.92807 - 1.35952i) q^{44} +(-3.94922 + 6.84024i) q^{45} +(-4.58567 + 1.40415i) q^{46} +(-7.95601 + 4.59340i) q^{47} +(0.675969 - 0.585730i) q^{48} +(4.34095 + 5.49146i) q^{49} +(-1.12282 + 7.80936i) q^{50} +(-0.127816 - 1.33855i) q^{51} +(1.69195 - 4.22629i) q^{52} +(2.77067 + 2.90580i) q^{53} +(2.13123 - 4.13402i) q^{54} +(-13.5748 + 6.19940i) q^{55} +(2.62664 - 0.317408i) q^{56} +(-1.50707 - 1.30588i) q^{57} +(5.86890 + 1.13114i) q^{58} +(-11.7086 - 2.84047i) q^{59} +(0.305245 - 3.19667i) q^{60} +(10.6041 + 5.46678i) q^{61} +(-2.42684 + 8.26506i) q^{62} +(5.10512 - 2.79595i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-6.07447 - 15.1733i) q^{65} +(3.30458 - 1.70363i) q^{66} +(-0.654226 - 3.39445i) q^{67} +(-0.751668 - 1.30193i) q^{68} +(1.92146 - 3.83514i) q^{69} +(6.03858 - 7.33234i) q^{70} +(-1.72295 - 1.98839i) q^{71} +(0.104680 - 2.19749i) q^{72} +(5.00263 - 6.36136i) q^{73} +(2.64991 - 1.88700i) q^{74} +(-4.36222 - 5.54701i) q^{75} +(-2.13918 - 0.628121i) q^{76} +(10.9214 + 1.29187i) q^{77} +(1.69149 + 3.70385i) q^{78} +(-7.98683 + 8.37634i) q^{79} +(-1.17425 - 3.39276i) q^{80} +(-0.798014 - 2.30571i) q^{81} +(-0.551649 + 0.578552i) q^{82} +(-0.0932725 - 0.204238i) q^{83} +(-1.41578 + 1.89623i) q^{84} +(-5.17867 - 1.52060i) q^{85} +(2.61532 + 3.32565i) q^{86} +(-4.35468 + 3.10096i) q^{87} +(2.56949 - 3.26737i) q^{88} +(-0.0592323 + 1.24344i) q^{89} +(-5.17237 - 5.96924i) q^{90} +(-1.98238 + 11.8802i) q^{91} +(0.172900 - 4.79271i) q^{92} +(-3.85232 - 6.67242i) q^{93} +(-1.73861 - 9.02079i) q^{94} +(-7.11457 + 3.66781i) q^{95} +(0.332428 + 0.830364i) q^{96} +(-3.04190 + 6.66083i) q^{97} +(-6.60922 + 2.30612i) q^{98} +(2.57635 - 8.77423i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q + 8 q^{2} - 6 q^{3} + 8 q^{4} + 11 q^{7} - 16 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q + 8 q^{2} - 6 q^{3} + 8 q^{4} + 11 q^{7} - 16 q^{8} + 12 q^{9} - 27 q^{12} - 11 q^{14} + 8 q^{16} + 66 q^{17} + 12 q^{18} - 66 q^{21} - 18 q^{23} - 6 q^{24} - 2 q^{25} + 6 q^{26} - 22 q^{28} - 16 q^{29} - 22 q^{30} + 24 q^{31} + 8 q^{32} + 73 q^{35} + 20 q^{36} + 22 q^{37} - 33 q^{38} + 22 q^{42} - 110 q^{43} + 4 q^{46} - 162 q^{47} + 25 q^{49} + 4 q^{50} - 11 q^{51} + 60 q^{52} + 22 q^{53} - 54 q^{54} - 11 q^{56} - 44 q^{57} - 14 q^{58} - 36 q^{59} - 121 q^{63} - 16 q^{64} - 77 q^{65} + 32 q^{70} + 144 q^{71} - 32 q^{72} - 108 q^{73} - 22 q^{74} + 96 q^{75} - 17 q^{77} - 22 q^{78} - 44 q^{79} + 14 q^{81} - 27 q^{82} + 11 q^{84} - 2 q^{85} - 66 q^{86} - 108 q^{87} + 11 q^{88} + 198 q^{89} - 8 q^{92} - 50 q^{93} + 30 q^{94} - 28 q^{95} + 6 q^{96} - 45 q^{98} - 220 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.327068 + 0.945001i −0.231272 + 0.668216i
\(3\) −0.409854 0.795005i −0.236629 0.458996i 0.740382 0.672187i \(-0.234645\pi\)
−0.977011 + 0.213190i \(0.931615\pi\)
\(4\) −0.786053 0.618159i −0.393027 0.309079i
\(5\) −3.57396 + 0.341272i −1.59832 + 0.152621i −0.855839 0.517242i \(-0.826959\pi\)
−0.742485 + 0.669863i \(0.766353\pi\)
\(6\) 0.885331 0.127291i 0.361435 0.0519665i
\(7\) 2.38128 + 1.15305i 0.900038 + 0.435812i
\(8\) 0.841254 0.540641i 0.297428 0.191145i
\(9\) 1.27612 1.79206i 0.425373 0.597352i
\(10\) 0.846426 3.48902i 0.267663 1.10332i
\(11\) 3.92807 1.35952i 1.18436 0.409910i 0.337293 0.941400i \(-0.390489\pi\)
0.847065 + 0.531490i \(0.178368\pi\)
\(12\) −0.169273 + 0.878271i −0.0488649 + 0.253535i
\(13\) 1.28256 + 4.36798i 0.355717 + 1.21146i 0.921980 + 0.387236i \(0.126570\pi\)
−0.566264 + 0.824224i \(0.691612\pi\)
\(14\) −1.86847 + 1.87318i −0.499370 + 0.500629i
\(15\) 1.73611 + 2.70145i 0.448263 + 0.697510i
\(16\) 0.235759 + 0.971812i 0.0589397 + 0.242953i
\(17\) 1.39565 + 0.558733i 0.338494 + 0.135513i 0.534681 0.845054i \(-0.320432\pi\)
−0.196187 + 0.980567i \(0.562856\pi\)
\(18\) 1.27612 + 1.79206i 0.300784 + 0.422392i
\(19\) 2.06979 0.828619i 0.474842 0.190098i −0.121882 0.992545i \(-0.538893\pi\)
0.596724 + 0.802446i \(0.296469\pi\)
\(20\) 3.02028 + 1.94102i 0.675356 + 0.434025i
\(21\) −0.0592943 2.36571i −0.0129391 0.516240i
\(22\) 4.15668i 0.886208i
\(23\) 2.82675 + 3.87421i 0.589418 + 0.807828i
\(24\) −0.774603 0.447217i −0.158115 0.0912878i
\(25\) 7.74709 1.49313i 1.54942 0.298626i
\(26\) −4.54723 0.216611i −0.891785 0.0424810i
\(27\) −4.60371 0.661913i −0.885984 0.127385i
\(28\) −1.15904 2.37837i −0.219038 0.449469i
\(29\) −0.850602 5.91607i −0.157953 1.09859i −0.902398 0.430903i \(-0.858195\pi\)
0.744445 0.667683i \(-0.232714\pi\)
\(30\) −3.12070 + 0.757073i −0.569759 + 0.138222i
\(31\) 8.60423 0.409870i 1.54537 0.0736148i 0.742529 0.669814i \(-0.233626\pi\)
0.802837 + 0.596199i \(0.203323\pi\)
\(32\) −0.995472 0.0950560i −0.175976 0.0168037i
\(33\) −2.69076 2.56563i −0.468401 0.446619i
\(34\) −0.984475 + 1.13615i −0.168836 + 0.194847i
\(35\) −8.90409 3.30829i −1.50507 0.559203i
\(36\) −2.11087 + 0.619808i −0.351812 + 0.103301i
\(37\) −2.64991 1.88700i −0.435643 0.310220i 0.341112 0.940023i \(-0.389196\pi\)
−0.776755 + 0.629803i \(0.783136\pi\)
\(38\) 0.106084 + 2.22697i 0.0172090 + 0.361262i
\(39\) 2.94691 2.80987i 0.471883 0.449940i
\(40\) −2.82210 + 2.21933i −0.446213 + 0.350906i
\(41\) 0.727159 + 0.332082i 0.113563 + 0.0518626i 0.471386 0.881927i \(-0.343754\pi\)
−0.357823 + 0.933789i \(0.616481\pi\)
\(42\) 2.25499 + 0.717714i 0.347952 + 0.110746i
\(43\) 2.28736 3.55919i 0.348818 0.542772i −0.621868 0.783122i \(-0.713626\pi\)
0.970686 + 0.240350i \(0.0772623\pi\)
\(44\) −3.92807 1.35952i −0.592179 0.204955i
\(45\) −3.94922 + 6.84024i −0.588714 + 1.01968i
\(46\) −4.58567 + 1.40415i −0.676120 + 0.207031i
\(47\) −7.95601 + 4.59340i −1.16050 + 0.670017i −0.951424 0.307882i \(-0.900380\pi\)
−0.209078 + 0.977899i \(0.567046\pi\)
\(48\) 0.675969 0.585730i 0.0975677 0.0845429i
\(49\) 4.34095 + 5.49146i 0.620136 + 0.784494i
\(50\) −1.12282 + 7.80936i −0.158790 + 1.10441i
\(51\) −0.127816 1.33855i −0.0178978 0.187434i
\(52\) 1.69195 4.22629i 0.234631 0.586081i
\(53\) 2.77067 + 2.90580i 0.380581 + 0.399142i 0.885965 0.463753i \(-0.153497\pi\)
−0.505383 + 0.862895i \(0.668649\pi\)
\(54\) 2.13123 4.13402i 0.290024 0.562568i
\(55\) −13.5748 + 6.19940i −1.83043 + 0.835927i
\(56\) 2.62664 0.317408i 0.351000 0.0424154i
\(57\) −1.50707 1.30588i −0.199616 0.172968i
\(58\) 5.86890 + 1.13114i 0.770624 + 0.148526i
\(59\) −11.7086 2.84047i −1.52433 0.369797i −0.615893 0.787829i \(-0.711205\pi\)
−0.908432 + 0.418032i \(0.862720\pi\)
\(60\) 0.305245 3.19667i 0.0394070 0.412689i
\(61\) 10.6041 + 5.46678i 1.35771 + 0.699949i 0.974642 0.223770i \(-0.0718363\pi\)
0.383071 + 0.923719i \(0.374867\pi\)
\(62\) −2.42684 + 8.26506i −0.308209 + 1.04966i
\(63\) 5.10512 2.79595i 0.643184 0.352257i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) −6.07447 15.1733i −0.753446 1.88202i
\(66\) 3.30458 1.70363i 0.406766 0.209703i
\(67\) −0.654226 3.39445i −0.0799264 0.414698i −0.999750 0.0223651i \(-0.992880\pi\)
0.919823 0.392333i \(-0.128332\pi\)
\(68\) −0.751668 1.30193i −0.0911531 0.157882i
\(69\) 1.92146 3.83514i 0.231317 0.461697i
\(70\) 6.03858 7.33234i 0.721749 0.876382i
\(71\) −1.72295 1.98839i −0.204476 0.235978i 0.644244 0.764820i \(-0.277172\pi\)
−0.848721 + 0.528842i \(0.822627\pi\)
\(72\) 0.104680 2.19749i 0.0123366 0.258977i
\(73\) 5.00263 6.36136i 0.585513 0.744540i −0.399554 0.916710i \(-0.630835\pi\)
0.985067 + 0.172169i \(0.0550775\pi\)
\(74\) 2.64991 1.88700i 0.308046 0.219359i
\(75\) −4.36222 5.54701i −0.503706 0.640514i
\(76\) −2.13918 0.628121i −0.245381 0.0720504i
\(77\) 10.9214 + 1.29187i 1.24461 + 0.147222i
\(78\) 1.69149 + 3.70385i 0.191524 + 0.419379i
\(79\) −7.98683 + 8.37634i −0.898588 + 0.942412i −0.998617 0.0525723i \(-0.983258\pi\)
0.100029 + 0.994985i \(0.468106\pi\)
\(80\) −1.17425 3.39276i −0.131285 0.379322i
\(81\) −0.798014 2.30571i −0.0886682 0.256190i
\(82\) −0.551649 + 0.578552i −0.0609194 + 0.0638904i
\(83\) −0.0932725 0.204238i −0.0102380 0.0224181i 0.904444 0.426593i \(-0.140286\pi\)
−0.914682 + 0.404174i \(0.867559\pi\)
\(84\) −1.41578 + 1.89623i −0.154474 + 0.206895i
\(85\) −5.17867 1.52060i −0.561706 0.164932i
\(86\) 2.61532 + 3.32565i 0.282017 + 0.358614i
\(87\) −4.35468 + 3.10096i −0.466871 + 0.332457i
\(88\) 2.56949 3.26737i 0.273909 0.348303i
\(89\) −0.0592323 + 1.24344i −0.00627861 + 0.131804i 0.993552 + 0.113380i \(0.0361679\pi\)
−0.999830 + 0.0184238i \(0.994135\pi\)
\(90\) −5.17237 5.96924i −0.545216 0.629213i
\(91\) −1.98238 + 11.8802i −0.207810 + 1.24539i
\(92\) 0.172900 4.79271i 0.0180261 0.499675i
\(93\) −3.85232 6.67242i −0.399467 0.691898i
\(94\) −1.73861 9.02079i −0.179324 0.930423i
\(95\) −7.11457 + 3.66781i −0.729939 + 0.376310i
\(96\) 0.332428 + 0.830364i 0.0339283 + 0.0847487i
\(97\) −3.04190 + 6.66083i −0.308858 + 0.676304i −0.998872 0.0474918i \(-0.984877\pi\)
0.690014 + 0.723796i \(0.257604\pi\)
\(98\) −6.60922 + 2.30612i −0.667632 + 0.232954i
\(99\) 2.57635 8.77423i 0.258932 0.881843i
\(100\) −7.01261 3.61525i −0.701261 0.361525i
\(101\) 1.38931 14.5495i 0.138241 1.44773i −0.614241 0.789118i \(-0.710538\pi\)
0.752483 0.658612i \(-0.228856\pi\)
\(102\) 1.30673 + 0.317010i 0.129386 + 0.0313886i
\(103\) 5.28608 + 1.01881i 0.520853 + 0.100386i 0.442900 0.896571i \(-0.353950\pi\)
0.0779527 + 0.996957i \(0.475162\pi\)
\(104\) 3.44046 + 2.98118i 0.337365 + 0.292329i
\(105\) 1.01927 + 8.43471i 0.0994701 + 0.823144i
\(106\) −3.65218 + 1.66790i −0.354731 + 0.162000i
\(107\) −2.68099 + 5.20039i −0.259181 + 0.502741i −0.982140 0.188150i \(-0.939751\pi\)
0.722959 + 0.690890i \(0.242781\pi\)
\(108\) 3.20959 + 3.36612i 0.308843 + 0.323905i
\(109\) −5.21678 + 13.0309i −0.499677 + 1.24813i 0.437481 + 0.899228i \(0.355871\pi\)
−0.937158 + 0.348905i \(0.886554\pi\)
\(110\) −1.41856 14.8558i −0.135254 1.41645i
\(111\) −0.414094 + 2.88009i −0.0393041 + 0.273366i
\(112\) −0.559140 + 2.58599i −0.0528337 + 0.244353i
\(113\) 14.1211 12.2360i 1.32840 1.15106i 0.351780 0.936083i \(-0.385577\pi\)
0.976618 0.214981i \(-0.0689689\pi\)
\(114\) 1.72697 0.997068i 0.161746 0.0933840i
\(115\) −11.4249 12.8816i −1.06537 1.20121i
\(116\) −2.98845 + 5.17615i −0.277471 + 0.480594i
\(117\) 9.46436 + 3.27565i 0.874981 + 0.302834i
\(118\) 6.51374 10.1356i 0.599639 0.933056i
\(119\) 2.67918 + 2.93975i 0.245600 + 0.269486i
\(120\) 2.92102 + 1.33399i 0.266652 + 0.121776i
\(121\) 4.93485 3.88081i 0.448623 0.352801i
\(122\) −8.63436 + 8.23285i −0.781719 + 0.745367i
\(123\) −0.0340216 0.714200i −0.00306762 0.0643973i
\(124\) −7.01675 4.99660i −0.630123 0.448708i
\(125\) −9.95429 + 2.92284i −0.890338 + 0.261427i
\(126\) 0.972458 + 5.73881i 0.0866335 + 0.511254i
\(127\) −1.54618 + 1.78438i −0.137201 + 0.158338i −0.820192 0.572089i \(-0.806133\pi\)
0.682991 + 0.730427i \(0.260679\pi\)
\(128\) 0.723734 + 0.690079i 0.0639697 + 0.0609949i
\(129\) −3.76706 0.359710i −0.331671 0.0316707i
\(130\) 16.3255 0.777682i 1.43185 0.0682072i
\(131\) −15.6484 + 3.79625i −1.36720 + 0.331680i −0.851171 0.524889i \(-0.824107\pi\)
−0.516032 + 0.856569i \(0.672592\pi\)
\(132\) 0.529110 + 3.68004i 0.0460531 + 0.320306i
\(133\) 5.88418 + 0.413400i 0.510223 + 0.0358463i
\(134\) 3.42173 + 0.491971i 0.295593 + 0.0424998i
\(135\) 16.6794 + 0.794536i 1.43553 + 0.0683828i
\(136\) 1.47617 0.284508i 0.126580 0.0243964i
\(137\) 18.5586 + 10.7148i 1.58557 + 0.915427i 0.994025 + 0.109152i \(0.0348134\pi\)
0.591541 + 0.806275i \(0.298520\pi\)
\(138\) 2.99576 + 3.07013i 0.255016 + 0.261347i
\(139\) 5.72483i 0.485574i −0.970080 0.242787i \(-0.921938\pi\)
0.970080 0.242787i \(-0.0780616\pi\)
\(140\) 4.95404 + 8.10464i 0.418693 + 0.684967i
\(141\) 6.91258 + 4.44244i 0.582144 + 0.374121i
\(142\) 2.44255 0.977849i 0.204974 0.0820592i
\(143\) 10.9763 + 15.4141i 0.917886 + 1.28899i
\(144\) 2.04240 + 0.817652i 0.170200 + 0.0681377i
\(145\) 5.05901 + 20.8535i 0.420128 + 1.73179i
\(146\) 4.37529 + 6.80808i 0.362101 + 0.563441i
\(147\) 2.58658 5.70177i 0.213338 0.470274i
\(148\) 0.916510 + 3.12135i 0.0753367 + 0.256573i
\(149\) −0.770682 + 3.99868i −0.0631367 + 0.327584i −0.999740 0.0228075i \(-0.992740\pi\)
0.936603 + 0.350392i \(0.113952\pi\)
\(150\) 6.66867 2.30805i 0.544495 0.188451i
\(151\) 3.14330 12.9568i 0.255798 1.05441i −0.688478 0.725257i \(-0.741721\pi\)
0.944276 0.329156i \(-0.106764\pi\)
\(152\) 1.29323 1.81609i 0.104895 0.147304i
\(153\) 2.78229 1.78807i 0.224935 0.144557i
\(154\) −4.79286 + 9.89821i −0.386220 + 0.797621i
\(155\) −30.6113 + 4.40124i −2.45876 + 0.353516i
\(156\) −4.05337 + 0.387050i −0.324530 + 0.0309888i
\(157\) −5.43179 4.27161i −0.433504 0.340912i 0.377441 0.926034i \(-0.376804\pi\)
−0.810945 + 0.585122i \(0.801047\pi\)
\(158\) −5.30342 10.2872i −0.421917 0.818405i
\(159\) 1.17455 3.39365i 0.0931483 0.269134i
\(160\) 3.59022 0.283832
\(161\) 2.26412 + 12.4849i 0.178438 + 0.983951i
\(162\) 2.43990 0.191697
\(163\) −7.49423 + 21.6532i −0.586994 + 1.69601i 0.123536 + 0.992340i \(0.460576\pi\)
−0.710530 + 0.703667i \(0.751545\pi\)
\(164\) −0.366306 0.710534i −0.0286037 0.0554834i
\(165\) 10.4922 + 8.25119i 0.816820 + 0.642354i
\(166\) 0.223512 0.0213428i 0.0173479 0.00165652i
\(167\) −14.7136 + 2.11550i −1.13857 + 0.163702i −0.685709 0.727876i \(-0.740508\pi\)
−0.452866 + 0.891578i \(0.649598\pi\)
\(168\) −1.32888 1.95810i −0.102525 0.151071i
\(169\) −6.49803 + 4.17603i −0.499849 + 0.321233i
\(170\) 3.13074 4.39651i 0.240117 0.337197i
\(171\) 1.15636 4.76660i 0.0884293 0.364511i
\(172\) −3.99813 + 1.38377i −0.304855 + 0.105511i
\(173\) 1.62361 8.42410i 0.123441 0.640472i −0.866521 0.499140i \(-0.833649\pi\)
0.989962 0.141332i \(-0.0451385\pi\)
\(174\) −1.50613 5.12940i −0.114179 0.388859i
\(175\) 20.1696 + 5.37723i 1.52468 + 0.406480i
\(176\) 2.24727 + 3.49682i 0.169395 + 0.263583i
\(177\) 2.54061 + 10.4725i 0.190964 + 0.787165i
\(178\) −1.15568 0.462663i −0.0866216 0.0346781i
\(179\) 0.471814 + 0.662570i 0.0352650 + 0.0495228i 0.831832 0.555027i \(-0.187292\pi\)
−0.796567 + 0.604550i \(0.793353\pi\)
\(180\) 7.33265 2.93555i 0.546544 0.218803i
\(181\) −8.29969 5.33389i −0.616911 0.396465i 0.194532 0.980896i \(-0.437681\pi\)
−0.811443 + 0.584431i \(0.801318\pi\)
\(182\) −10.5784 5.75899i −0.784127 0.426885i
\(183\) 10.6709i 0.788814i
\(184\) 4.47257 + 1.73093i 0.329722 + 0.127606i
\(185\) 10.1147 + 5.83971i 0.743645 + 0.429344i
\(186\) 7.56542 1.45811i 0.554723 0.106914i
\(187\) 6.24181 + 0.297334i 0.456446 + 0.0217432i
\(188\) 9.09330 + 1.30742i 0.663197 + 0.0953533i
\(189\) −10.1995 6.88450i −0.741903 0.500774i
\(190\) −1.13914 7.92289i −0.0826419 0.574787i
\(191\) 13.0791 3.17295i 0.946368 0.229586i 0.267260 0.963625i \(-0.413882\pi\)
0.679108 + 0.734038i \(0.262367\pi\)
\(192\) −0.893421 + 0.0425589i −0.0644771 + 0.00307142i
\(193\) −23.5254 2.24641i −1.69340 0.161700i −0.796710 0.604362i \(-0.793428\pi\)
−0.896689 + 0.442662i \(0.854034\pi\)
\(194\) −5.29958 5.05314i −0.380488 0.362794i
\(195\) −9.57321 + 11.0481i −0.685552 + 0.791169i
\(196\) −0.0176246 6.99998i −0.00125890 0.499998i
\(197\) −19.7283 + 5.79276i −1.40559 + 0.412717i −0.894598 0.446871i \(-0.852538\pi\)
−0.510987 + 0.859588i \(0.670720\pi\)
\(198\) 7.44901 + 5.30442i 0.529378 + 0.376968i
\(199\) −0.803261 16.8625i −0.0569417 1.19535i −0.828795 0.559552i \(-0.810973\pi\)
0.771854 0.635800i \(-0.219330\pi\)
\(200\) 5.71002 5.44449i 0.403759 0.384984i
\(201\) −2.43047 + 1.91134i −0.171432 + 0.134815i
\(202\) 13.2949 + 6.07158i 0.935426 + 0.427195i
\(203\) 4.79600 15.0686i 0.336613 1.05761i
\(204\) −0.726965 + 1.13118i −0.0508977 + 0.0791984i
\(205\) −2.71217 0.938691i −0.189426 0.0655610i
\(206\) −2.69168 + 4.66213i −0.187538 + 0.324826i
\(207\) 10.5501 0.121752i 0.733280 0.00846235i
\(208\) −3.94248 + 2.27619i −0.273362 + 0.157826i
\(209\) 7.00376 6.06879i 0.484460 0.419787i
\(210\) −8.30418 1.79552i −0.573043 0.123903i
\(211\) 0.412515 2.86910i 0.0283987 0.197517i −0.970683 0.240363i \(-0.922733\pi\)
0.999082 + 0.0428462i \(0.0136425\pi\)
\(212\) −0.381651 3.99683i −0.0262119 0.274503i
\(213\) −0.874622 + 2.18470i −0.0599281 + 0.149693i
\(214\) −4.03751 4.23442i −0.275998 0.289459i
\(215\) −6.96027 + 13.5010i −0.474686 + 0.920763i
\(216\) −4.23074 + 1.93212i −0.287866 + 0.131464i
\(217\) 20.9617 + 8.94509i 1.42297 + 0.607232i
\(218\) −10.6080 9.19185i −0.718461 0.622550i
\(219\) −7.10766 1.36989i −0.480291 0.0925685i
\(220\) 14.5027 + 3.51832i 0.977774 + 0.237205i
\(221\) −0.650541 + 6.81278i −0.0437601 + 0.458277i
\(222\) −2.58625 1.33330i −0.173578 0.0894855i
\(223\) 1.81364 6.17670i 0.121451 0.413623i −0.876214 0.481922i \(-0.839939\pi\)
0.997665 + 0.0682990i \(0.0217572\pi\)
\(224\) −2.26089 1.37418i −0.151062 0.0918165i
\(225\) 7.21042 15.7886i 0.480695 1.05258i
\(226\) 6.94446 + 17.3464i 0.461938 + 1.15387i
\(227\) 2.14460 1.10562i 0.142342 0.0733823i −0.385584 0.922673i \(-0.626000\pi\)
0.527926 + 0.849290i \(0.322970\pi\)
\(228\) 0.377393 + 1.95810i 0.0249934 + 0.129678i
\(229\) −4.89813 8.48381i −0.323677 0.560626i 0.657566 0.753397i \(-0.271586\pi\)
−0.981244 + 0.192771i \(0.938253\pi\)
\(230\) 15.9098 6.58335i 1.04906 0.434093i
\(231\) −3.44914 9.21205i −0.226936 0.606109i
\(232\) −3.91404 4.51704i −0.256969 0.296558i
\(233\) −1.29493 + 27.1839i −0.0848337 + 1.78088i 0.410192 + 0.911999i \(0.365462\pi\)
−0.495025 + 0.868879i \(0.664841\pi\)
\(234\) −6.19098 + 7.87247i −0.404717 + 0.514640i
\(235\) 26.8669 19.1318i 1.75260 1.24802i
\(236\) 7.44770 + 9.47052i 0.484804 + 0.616478i
\(237\) 9.93267 + 2.91649i 0.645196 + 0.189447i
\(238\) −3.65434 + 1.57033i −0.236876 + 0.101789i
\(239\) 7.78887 + 17.0553i 0.503820 + 1.10321i 0.975209 + 0.221287i \(0.0710257\pi\)
−0.471389 + 0.881926i \(0.656247\pi\)
\(240\) −2.21599 + 2.32407i −0.143042 + 0.150018i
\(241\) −4.75610 13.7419i −0.306368 0.885191i −0.988130 0.153618i \(-0.950908\pi\)
0.681763 0.731573i \(-0.261214\pi\)
\(242\) 2.05334 + 5.93273i 0.131994 + 0.381370i
\(243\) −11.1348 + 11.6778i −0.714295 + 0.749131i
\(244\) −4.95603 10.8522i −0.317277 0.694740i
\(245\) −17.3885 18.1448i −1.11091 1.15923i
\(246\) 0.686047 + 0.201442i 0.0437408 + 0.0128435i
\(247\) 6.27402 + 7.97806i 0.399206 + 0.507632i
\(248\) 7.01675 4.99660i 0.445564 0.317285i
\(249\) −0.124142 + 0.157860i −0.00786721 + 0.0100040i
\(250\) 0.493640 10.3628i 0.0312205 0.655400i
\(251\) −1.62752 1.87826i −0.102728 0.118555i 0.702057 0.712121i \(-0.252265\pi\)
−0.804785 + 0.593566i \(0.797720\pi\)
\(252\) −5.74124 0.958006i −0.361664 0.0603487i
\(253\) 16.3707 + 11.3751i 1.02922 + 0.715149i
\(254\) −1.18054 2.04475i −0.0740735 0.128299i
\(255\) 0.913617 + 4.74029i 0.0572129 + 0.296849i
\(256\) −0.888835 + 0.458227i −0.0555522 + 0.0286392i
\(257\) −10.0757 25.1680i −0.628507 1.56994i −0.809928 0.586530i \(-0.800494\pi\)
0.181420 0.983406i \(-0.441931\pi\)
\(258\) 1.57201 3.44222i 0.0978691 0.214303i
\(259\) −4.13438 7.54894i −0.256898 0.469068i
\(260\) −4.60465 + 15.6820i −0.285569 + 0.972557i
\(261\) −11.6874 6.02527i −0.723432 0.372955i
\(262\) 1.53062 16.0293i 0.0945618 0.990296i
\(263\) −15.4823 3.75597i −0.954680 0.231603i −0.271981 0.962303i \(-0.587679\pi\)
−0.682699 + 0.730700i \(0.739194\pi\)
\(264\) −3.65069 0.703614i −0.224685 0.0433044i
\(265\) −10.8940 9.43966i −0.669210 0.579874i
\(266\) −2.31519 + 5.42535i −0.141953 + 0.332649i
\(267\) 1.01282 0.462538i 0.0619833 0.0283068i
\(268\) −1.58405 + 3.07263i −0.0967613 + 0.187691i
\(269\) 3.59292 + 3.76815i 0.219064 + 0.229748i 0.824091 0.566457i \(-0.191686\pi\)
−0.605027 + 0.796205i \(0.706838\pi\)
\(270\) −6.20612 + 15.5021i −0.377693 + 0.943430i
\(271\) −0.982316 10.2873i −0.0596714 0.624908i −0.975001 0.222202i \(-0.928676\pi\)
0.915329 0.402706i \(-0.131930\pi\)
\(272\) −0.213947 + 1.48803i −0.0129724 + 0.0902253i
\(273\) 10.2573 3.29315i 0.620802 0.199310i
\(274\) −16.1954 + 14.0334i −0.978400 + 0.847789i
\(275\) 28.4012 16.3974i 1.71265 0.988802i
\(276\) −3.88110 + 1.82685i −0.233615 + 0.109964i
\(277\) 3.98920 6.90950i 0.239688 0.415152i −0.720937 0.693001i \(-0.756288\pi\)
0.960625 + 0.277849i \(0.0896215\pi\)
\(278\) 5.40997 + 1.87241i 0.324469 + 0.112300i
\(279\) 10.2455 15.9423i 0.613382 0.954441i
\(280\) −9.27920 + 2.03080i −0.554538 + 0.121364i
\(281\) 5.33395 + 2.43593i 0.318197 + 0.145316i 0.568110 0.822953i \(-0.307675\pi\)
−0.249913 + 0.968268i \(0.580402\pi\)
\(282\) −6.45899 + 5.07941i −0.384628 + 0.302474i
\(283\) −4.40691 + 4.20198i −0.261963 + 0.249782i −0.809665 0.586892i \(-0.800351\pi\)
0.547702 + 0.836674i \(0.315503\pi\)
\(284\) 0.125189 + 2.62803i 0.00742858 + 0.155945i
\(285\) 5.83186 + 4.15285i 0.345450 + 0.245994i
\(286\) −18.1563 + 5.33118i −1.07361 + 0.315239i
\(287\) 1.34866 + 1.62923i 0.0796088 + 0.0961704i
\(288\) −1.44068 + 1.66264i −0.0848932 + 0.0979719i
\(289\) −10.6678 10.1718i −0.627519 0.598338i
\(290\) −21.3612 2.03975i −1.25437 0.119778i
\(291\) 6.54212 0.311640i 0.383506 0.0182686i
\(292\) −7.86466 + 1.90795i −0.460244 + 0.111654i
\(293\) 0.923166 + 6.42076i 0.0539319 + 0.375105i 0.998856 + 0.0478157i \(0.0152260\pi\)
−0.944924 + 0.327289i \(0.893865\pi\)
\(294\) 4.54219 + 4.30919i 0.264906 + 0.251317i
\(295\) 42.8153 + 6.15592i 2.49281 + 0.358411i
\(296\) −3.24944 0.154790i −0.188870 0.00899697i
\(297\) −18.9836 + 3.65878i −1.10154 + 0.212304i
\(298\) −3.52669 2.03613i −0.204296 0.117950i
\(299\) −13.2970 + 17.3161i −0.768986 + 1.00142i
\(300\) 7.05679i 0.407424i
\(301\) 9.55075 5.83799i 0.550496 0.336496i
\(302\) 11.2162 + 7.20818i 0.645417 + 0.414784i
\(303\) −12.1363 + 4.85866i −0.697215 + 0.279123i
\(304\) 1.29323 + 1.81609i 0.0741720 + 0.104160i
\(305\) −39.7642 15.9192i −2.27689 0.911530i
\(306\) 0.779730 + 3.21409i 0.0445742 + 0.183737i
\(307\) −6.01013 9.35194i −0.343016 0.533744i 0.626293 0.779588i \(-0.284571\pi\)
−0.969309 + 0.245844i \(0.920935\pi\)
\(308\) −7.78623 7.76665i −0.443661 0.442546i
\(309\) −1.35656 4.62002i −0.0771721 0.262824i
\(310\) 5.85280 30.3672i 0.332417 1.72474i
\(311\) −19.7515 + 6.83605i −1.12000 + 0.387637i −0.823455 0.567381i \(-0.807957\pi\)
−0.296548 + 0.955018i \(0.595835\pi\)
\(312\) 0.959966 3.95703i 0.0543474 0.224023i
\(313\) 16.1793 22.7206i 0.914507 1.28425i −0.0439568 0.999033i \(-0.513996\pi\)
0.958464 0.285213i \(-0.0920642\pi\)
\(314\) 5.81324 3.73594i 0.328060 0.210831i
\(315\) −17.2913 + 11.7349i −0.974255 + 0.661185i
\(316\) 11.4560 1.64712i 0.644449 0.0926578i
\(317\) −0.844653 + 0.0806546i −0.0474404 + 0.00453001i −0.118749 0.992924i \(-0.537888\pi\)
0.0713088 + 0.997454i \(0.477282\pi\)
\(318\) 2.82285 + 2.21991i 0.158297 + 0.124486i
\(319\) −11.3842 22.0823i −0.637394 1.23637i
\(320\) −1.17425 + 3.39276i −0.0656423 + 0.189661i
\(321\) 5.23315 0.292086
\(322\) −12.5388 1.94383i −0.698760 0.108325i
\(323\) 3.35168 0.186492
\(324\) −0.798014 + 2.30571i −0.0443341 + 0.128095i
\(325\) 16.4580 + 31.9241i 0.912927 + 1.77083i
\(326\) −18.0111 14.1641i −0.997545 0.784478i
\(327\) 12.4977 1.19339i 0.691127 0.0659946i
\(328\) 0.791262 0.113766i 0.0436902 0.00628170i
\(329\) −24.2419 + 1.76449i −1.33650 + 0.0972795i
\(330\) −11.2291 + 7.21648i −0.618139 + 0.397254i
\(331\) −18.1353 + 25.4675i −0.996808 + 1.39982i −0.0816798 + 0.996659i \(0.526028\pi\)
−0.915128 + 0.403163i \(0.867911\pi\)
\(332\) −0.0529346 + 0.218199i −0.00290516 + 0.0119753i
\(333\) −6.76320 + 2.34077i −0.370621 + 0.128273i
\(334\) 2.81321 14.5963i 0.153932 0.798674i
\(335\) 3.49661 + 11.9084i 0.191040 + 0.650623i
\(336\) 2.28504 0.615360i 0.124659 0.0335706i
\(337\) −14.0442 21.8532i −0.765038 1.19042i −0.977020 0.213149i \(-0.931628\pi\)
0.211982 0.977274i \(-0.432008\pi\)
\(338\) −1.82106 7.50649i −0.0990524 0.408299i
\(339\) −15.5152 6.21136i −0.842672 0.337355i
\(340\) 3.13074 + 4.39651i 0.169788 + 0.238434i
\(341\) 33.2408 13.3076i 1.80009 0.720647i
\(342\) 4.12623 + 2.65177i 0.223121 + 0.143391i
\(343\) 4.00508 + 18.0820i 0.216254 + 0.976337i
\(344\) 4.23082i 0.228111i
\(345\) −5.55840 + 14.3624i −0.299254 + 0.773244i
\(346\) 7.42975 + 4.28957i 0.399426 + 0.230608i
\(347\) 28.3087 5.45606i 1.51969 0.292897i 0.639976 0.768395i \(-0.278944\pi\)
0.879717 + 0.475498i \(0.157732\pi\)
\(348\) 5.33990 + 0.254371i 0.286248 + 0.0136357i
\(349\) −13.7272 1.97367i −0.734798 0.105648i −0.235251 0.971935i \(-0.575591\pi\)
−0.499547 + 0.866287i \(0.666500\pi\)
\(350\) −11.6783 + 17.3016i −0.624232 + 0.924808i
\(351\) −3.01328 20.9579i −0.160837 1.11865i
\(352\) −4.03951 + 0.979975i −0.215307 + 0.0522329i
\(353\) 21.5361 1.02589i 1.14625 0.0546026i 0.534155 0.845386i \(-0.320630\pi\)
0.612096 + 0.790784i \(0.290327\pi\)
\(354\) −10.7275 1.02435i −0.570161 0.0544438i
\(355\) 6.83633 + 6.51842i 0.362835 + 0.345962i
\(356\) 0.815202 0.940793i 0.0432056 0.0498619i
\(357\) 1.23905 3.33483i 0.0655773 0.176498i
\(358\) −0.780444 + 0.229159i −0.0412478 + 0.0121114i
\(359\) −12.0225 8.56116i −0.634522 0.451841i 0.216992 0.976173i \(-0.430375\pi\)
−0.851514 + 0.524333i \(0.824315\pi\)
\(360\) 0.375823 + 7.88949i 0.0198076 + 0.415812i
\(361\) −10.1535 + 9.68137i −0.534396 + 0.509546i
\(362\) 7.75509 6.09867i 0.407599 0.320539i
\(363\) −5.10783 2.33267i −0.268092 0.122433i
\(364\) 8.90213 8.11306i 0.466598 0.425240i
\(365\) −15.7082 + 24.4425i −0.822207 + 1.27938i
\(366\) 10.0840 + 3.49010i 0.527098 + 0.182430i
\(367\) −9.57347 + 16.5817i −0.499731 + 0.865559i −1.00000 0.000310621i \(-0.999901\pi\)
0.500269 + 0.865870i \(0.333234\pi\)
\(368\) −3.09857 + 3.66045i −0.161524 + 0.190814i
\(369\) 1.52305 0.879334i 0.0792869 0.0457763i
\(370\) −8.82671 + 7.64839i −0.458879 + 0.397621i
\(371\) 3.24721 + 10.1142i 0.168587 + 0.525105i
\(372\) −1.09649 + 7.62623i −0.0568501 + 0.395401i
\(373\) −1.89547 19.8503i −0.0981440 1.02781i −0.901636 0.432495i \(-0.857633\pi\)
0.803492 0.595315i \(-0.202973\pi\)
\(374\) −2.32248 + 5.80127i −0.120092 + 0.299976i
\(375\) 6.40347 + 6.71577i 0.330674 + 0.346801i
\(376\) −4.20964 + 8.16556i −0.217095 + 0.421106i
\(377\) 24.7503 11.3031i 1.27471 0.582140i
\(378\) 9.84178 7.38682i 0.506207 0.379937i
\(379\) −8.93137 7.73908i −0.458774 0.397530i 0.394580 0.918861i \(-0.370890\pi\)
−0.853354 + 0.521332i \(0.825435\pi\)
\(380\) 7.85972 + 1.51484i 0.403195 + 0.0777095i
\(381\) 2.05230 + 0.497882i 0.105142 + 0.0255073i
\(382\) −1.27931 + 13.3975i −0.0654550 + 0.685476i
\(383\) 28.5781 + 14.7331i 1.46028 + 0.752824i 0.991452 0.130468i \(-0.0416481\pi\)
0.468823 + 0.883292i \(0.344678\pi\)
\(384\) 0.251991 0.858204i 0.0128594 0.0437950i
\(385\) −39.4736 0.889926i −2.01176 0.0453548i
\(386\) 9.81728 21.4968i 0.499686 1.09416i
\(387\) −3.45934 8.64102i −0.175848 0.439248i
\(388\) 6.50854 3.35539i 0.330421 0.170344i
\(389\) 4.15913 + 21.5796i 0.210876 + 1.09413i 0.920855 + 0.389906i \(0.127492\pi\)
−0.709979 + 0.704223i \(0.751295\pi\)
\(390\) −7.30935 12.6602i −0.370123 0.641072i
\(391\) 1.78050 + 6.98643i 0.0900438 + 0.353319i
\(392\) 6.62075 + 2.27281i 0.334398 + 0.114794i
\(393\) 9.43157 + 10.8846i 0.475760 + 0.549056i
\(394\) 0.978342 20.5379i 0.0492881 1.03469i
\(395\) 25.6860 32.6624i 1.29240 1.64342i
\(396\) −7.44901 + 5.30442i −0.374327 + 0.266557i
\(397\) 11.8803 + 15.1070i 0.596255 + 0.758200i 0.986722 0.162417i \(-0.0519289\pi\)
−0.390467 + 0.920617i \(0.627686\pi\)
\(398\) 16.1978 + 4.75611i 0.811923 + 0.238402i
\(399\) −2.08300 4.84739i −0.104280 0.242673i
\(400\) 3.27749 + 7.17669i 0.163874 + 0.358835i
\(401\) 16.3524 17.1499i 0.816598 0.856424i −0.175161 0.984540i \(-0.556045\pi\)
0.991759 + 0.128116i \(0.0408931\pi\)
\(402\) −1.01129 2.92193i −0.0504385 0.145733i
\(403\) 12.8257 + 37.0575i 0.638894 + 1.84596i
\(404\) −10.0860 + 10.5779i −0.501796 + 0.526269i
\(405\) 3.63894 + 7.96818i 0.180821 + 0.395942i
\(406\) 12.6712 + 9.46068i 0.628861 + 0.469526i
\(407\) −12.9744 3.80964i −0.643120 0.188837i
\(408\) −0.831198 1.05695i −0.0411504 0.0523270i
\(409\) −31.8131 + 22.6540i −1.57306 + 1.12017i −0.635625 + 0.771998i \(0.719258\pi\)
−0.937431 + 0.348171i \(0.886803\pi\)
\(410\) 1.77413 2.25599i 0.0876179 0.111415i
\(411\) 0.912020 19.1457i 0.0449866 0.944386i
\(412\) −3.52535 4.06848i −0.173682 0.200439i
\(413\) −24.6061 20.2645i −1.21079 0.997151i
\(414\) −3.33553 + 10.0096i −0.163932 + 0.491947i
\(415\) 0.403053 + 0.698109i 0.0197851 + 0.0342688i
\(416\) −0.861545 4.47012i −0.0422407 0.219166i
\(417\) −4.55127 + 2.34634i −0.222877 + 0.114901i
\(418\) 3.44431 + 8.60346i 0.168467 + 0.420809i
\(419\) 5.57195 12.2009i 0.272208 0.596052i −0.723321 0.690512i \(-0.757385\pi\)
0.995529 + 0.0944603i \(0.0301125\pi\)
\(420\) 4.41280 7.26020i 0.215322 0.354262i
\(421\) 3.15338 10.7394i 0.153686 0.523407i −0.846270 0.532754i \(-0.821157\pi\)
0.999956 + 0.00934707i \(0.00297531\pi\)
\(422\) 2.57638 + 1.32822i 0.125416 + 0.0646566i
\(423\) −1.92116 + 20.1193i −0.0934101 + 0.978235i
\(424\) 3.90183 + 0.946575i 0.189490 + 0.0459697i
\(425\) 11.6465 + 2.24467i 0.564937 + 0.108883i
\(426\) −1.77848 1.54106i −0.0861677 0.0746648i
\(427\) 18.9478 + 25.2449i 0.916946 + 1.22169i
\(428\) 5.32207 2.43051i 0.257252 0.117483i
\(429\) 7.75559 15.0437i 0.374443 0.726319i
\(430\) −10.4820 10.9932i −0.505487 0.530140i
\(431\) −6.63982 + 16.5855i −0.319829 + 0.798894i 0.678124 + 0.734947i \(0.262793\pi\)
−0.997953 + 0.0639467i \(0.979631\pi\)
\(432\) −0.442110 4.62999i −0.0212710 0.222760i
\(433\) −3.50431 + 24.3730i −0.168406 + 1.17129i 0.713772 + 0.700378i \(0.246985\pi\)
−0.882179 + 0.470915i \(0.843924\pi\)
\(434\) −15.3090 + 16.8831i −0.734856 + 0.810416i
\(435\) 14.5052 12.5688i 0.695471 0.602629i
\(436\) 12.1558 7.01817i 0.582158 0.336109i
\(437\) 9.06102 + 5.67650i 0.433447 + 0.271544i
\(438\) 3.61923 6.26869i 0.172934 0.299530i
\(439\) −16.7479 5.79650i −0.799333 0.276652i −0.103289 0.994651i \(-0.532937\pi\)
−0.696044 + 0.717999i \(0.745058\pi\)
\(440\) −8.06820 + 12.5544i −0.384636 + 0.598506i
\(441\) 15.3806 0.771485i 0.732408 0.0367374i
\(442\) −6.22531 2.84300i −0.296108 0.135228i
\(443\) 15.4898 12.1813i 0.735942 0.578751i −0.178273 0.983981i \(-0.557051\pi\)
0.914215 + 0.405230i \(0.132808\pi\)
\(444\) 2.10585 2.00793i 0.0999393 0.0952919i
\(445\) −0.212657 4.46421i −0.0100809 0.211624i
\(446\) 5.24380 + 3.73410i 0.248301 + 0.176815i
\(447\) 3.49484 1.02618i 0.165300 0.0485365i
\(448\) 2.03807 1.68709i 0.0962897 0.0797076i
\(449\) 20.4340 23.5821i 0.964338 1.11291i −0.0292188 0.999573i \(-0.509302\pi\)
0.993557 0.113333i \(-0.0361526\pi\)
\(450\) 12.5620 + 11.9778i 0.592177 + 0.564639i
\(451\) 3.30780 + 0.315857i 0.155758 + 0.0148731i
\(452\) −18.6637 + 0.889061i −0.877866 + 0.0418179i
\(453\) −11.5890 + 2.81147i −0.544501 + 0.132094i
\(454\) 0.343379 + 2.38826i 0.0161156 + 0.112086i
\(455\) 3.03057 43.1360i 0.142075 2.02225i
\(456\) −1.97384 0.283795i −0.0924335 0.0132899i
\(457\) 10.2805 + 0.489719i 0.480900 + 0.0229081i 0.286633 0.958040i \(-0.407464\pi\)
0.194267 + 0.980949i \(0.437767\pi\)
\(458\) 9.61923 1.85395i 0.449477 0.0866296i
\(459\) −6.05532 3.49604i −0.282638 0.163181i
\(460\) 1.01768 + 17.1880i 0.0474496 + 0.801394i
\(461\) 11.5022i 0.535712i −0.963459 0.267856i \(-0.913685\pi\)
0.963459 0.267856i \(-0.0863151\pi\)
\(462\) 9.83350 0.246468i 0.457496 0.0114667i
\(463\) −23.2878 14.9662i −1.08228 0.695537i −0.127194 0.991878i \(-0.540597\pi\)
−0.955082 + 0.296341i \(0.904234\pi\)
\(464\) 5.54877 2.22139i 0.257595 0.103126i
\(465\) 16.0452 + 22.5323i 0.744077 + 1.04491i
\(466\) −25.2653 10.1147i −1.17039 0.468554i
\(467\) −2.01069 8.28818i −0.0930436 0.383531i 0.906182 0.422889i \(-0.138984\pi\)
−0.999225 + 0.0393578i \(0.987469\pi\)
\(468\) −5.41462 8.42532i −0.250291 0.389460i
\(469\) 2.35607 8.83747i 0.108793 0.408076i
\(470\) 9.29228 + 31.6466i 0.428621 + 1.45975i
\(471\) −1.16971 + 6.06904i −0.0538975 + 0.279647i
\(472\) −11.3855 + 3.94058i −0.524062 + 0.181380i
\(473\) 4.14610 17.0905i 0.190638 0.785820i
\(474\) −6.00475 + 8.43249i −0.275807 + 0.387317i
\(475\) 14.7976 9.50985i 0.678961 0.436342i
\(476\) −0.288742 3.96696i −0.0132345 0.181825i
\(477\) 8.74306 1.25706i 0.400317 0.0575570i
\(478\) −18.6647 + 1.78226i −0.853704 + 0.0815189i
\(479\) 2.77726 + 2.18406i 0.126896 + 0.0997922i 0.679590 0.733592i \(-0.262158\pi\)
−0.552694 + 0.833384i \(0.686400\pi\)
\(480\) −1.47146 2.85424i −0.0671628 0.130278i
\(481\) 4.84370 13.9950i 0.220854 0.638115i
\(482\) 14.5416 0.662353
\(483\) 8.99763 6.91699i 0.409407 0.314734i
\(484\) −6.27802 −0.285364
\(485\) 8.59847 24.8436i 0.390436 1.12809i
\(486\) −7.39370 14.3418i −0.335385 0.650557i
\(487\) −14.8201 11.6547i −0.671564 0.528124i 0.223138 0.974787i \(-0.428370\pi\)
−0.894702 + 0.446663i \(0.852612\pi\)
\(488\) 11.8763 1.13405i 0.537614 0.0513359i
\(489\) 20.2859 2.91667i 0.917361 0.131897i
\(490\) 22.8341 10.4975i 1.03154 0.474230i
\(491\) −25.0785 + 16.1170i −1.13178 + 0.727350i −0.965930 0.258802i \(-0.916672\pi\)
−0.165848 + 0.986151i \(0.553036\pi\)
\(492\) −0.414747 + 0.582430i −0.0186982 + 0.0262580i
\(493\) 2.11836 8.73201i 0.0954063 0.393270i
\(494\) −9.59130 + 3.31958i −0.431533 + 0.149355i
\(495\) −6.21336 + 32.2380i −0.279270 + 1.44899i
\(496\) 2.42684 + 8.26506i 0.108968 + 0.371112i
\(497\) −1.81010 6.72154i −0.0811943 0.301502i
\(498\) −0.108575 0.168946i −0.00486535 0.00757064i
\(499\) −4.67474 19.2696i −0.209270 0.862624i −0.975490 0.220045i \(-0.929380\pi\)
0.766219 0.642579i \(-0.222136\pi\)
\(500\) 9.63138 + 3.85582i 0.430728 + 0.172438i
\(501\) 7.71227 + 10.8304i 0.344559 + 0.483865i
\(502\) 2.30727 0.923691i 0.102978 0.0412264i
\(503\) 0.0266186 + 0.0171067i 0.00118687 + 0.000762752i 0.541234 0.840872i \(-0.317957\pi\)
−0.540047 + 0.841635i \(0.681594\pi\)
\(504\) 2.78309 5.11214i 0.123969 0.227713i
\(505\) 52.4735i 2.33504i
\(506\) −16.1039 + 11.7499i −0.715904 + 0.522347i
\(507\) 5.98321 + 3.45441i 0.265724 + 0.153416i
\(508\) 2.31841 0.446836i 0.102863 0.0198252i
\(509\) 14.6060 + 0.695769i 0.647399 + 0.0308394i 0.368714 0.929543i \(-0.379798\pi\)
0.278686 + 0.960382i \(0.410101\pi\)
\(510\) −4.77840 0.687030i −0.211591 0.0304222i
\(511\) 19.2476 9.37987i 0.851463 0.414941i
\(512\) −0.142315 0.989821i −0.00628949 0.0437443i
\(513\) −10.0772 + 2.44470i −0.444918 + 0.107936i
\(514\) 27.0792 1.28994i 1.19441 0.0568969i
\(515\) −19.2399 1.83719i −0.847813 0.0809563i
\(516\) 2.73875 + 2.61139i 0.120567 + 0.114960i
\(517\) −25.0069 + 28.8595i −1.09980 + 1.26924i
\(518\) 8.48598 1.43797i 0.372852 0.0631810i
\(519\) −7.36264 + 2.16187i −0.323184 + 0.0948954i
\(520\) −13.3135 9.48049i −0.583835 0.415747i
\(521\) 1.16957 + 24.5524i 0.0512399 + 1.07566i 0.867330 + 0.497733i \(0.165834\pi\)
−0.816090 + 0.577925i \(0.803863\pi\)
\(522\) 9.51646 9.07393i 0.416524 0.397155i
\(523\) −14.4372 + 11.3536i −0.631297 + 0.496457i −0.881778 0.471664i \(-0.843654\pi\)
0.250481 + 0.968121i \(0.419411\pi\)
\(524\) 14.6471 + 6.68912i 0.639863 + 0.292215i
\(525\) −3.99167 18.2388i −0.174211 0.796007i
\(526\) 8.61316 13.4023i 0.375552 0.584370i
\(527\) 12.2375 + 4.23544i 0.533073 + 0.184499i
\(528\) 1.85894 3.21978i 0.0809000 0.140123i
\(529\) −7.01896 + 21.9028i −0.305172 + 0.952297i
\(530\) 12.4836 7.20738i 0.542251 0.313069i
\(531\) −20.0318 + 17.3576i −0.869306 + 0.753258i
\(532\) −4.36973 3.96231i −0.189452 0.171788i
\(533\) −0.517909 + 3.60213i −0.0224331 + 0.156026i
\(534\) 0.105839 + 1.10839i 0.00458009 + 0.0479649i
\(535\) 7.80700 19.5009i 0.337526 0.843099i
\(536\) −2.38555 2.50189i −0.103040 0.108065i
\(537\) 0.333372 0.646651i 0.0143861 0.0279051i
\(538\) −4.73603 + 2.16287i −0.204185 + 0.0932481i
\(539\) 24.5173 + 15.6692i 1.05603 + 0.674921i
\(540\) −12.6197 10.9350i −0.543066 0.470569i
\(541\) 20.5588 + 3.96239i 0.883894 + 0.170357i 0.610946 0.791672i \(-0.290789\pi\)
0.272948 + 0.962029i \(0.412001\pi\)
\(542\) 10.0428 + 2.43635i 0.431374 + 0.104650i
\(543\) −0.838810 + 8.78441i −0.0359968 + 0.376975i
\(544\) −1.33622 0.688868i −0.0572899 0.0295350i
\(545\) 14.1975 48.3522i 0.608154 2.07118i
\(546\) −0.242814 + 10.7703i −0.0103915 + 0.460925i
\(547\) 10.1538 22.2338i 0.434147 0.950649i −0.558489 0.829512i \(-0.688619\pi\)
0.992636 0.121137i \(-0.0386540\pi\)
\(548\) −7.96458 19.8945i −0.340230 0.849853i
\(549\) 23.3288 12.0268i 0.995650 0.513293i
\(550\) 6.20646 + 32.2022i 0.264645 + 1.37311i
\(551\) −6.66274 11.5402i −0.283842 0.491629i
\(552\) −0.456997 4.26514i −0.0194511 0.181537i
\(553\) −28.6772 + 10.7372i −1.21948 + 0.456591i
\(554\) 5.22474 + 6.02968i 0.221978 + 0.256176i
\(555\) 0.497063 10.4346i 0.0210992 0.442926i
\(556\) −3.53886 + 4.50002i −0.150081 + 0.190843i
\(557\) −14.5583 + 10.3670i −0.616857 + 0.439262i −0.845297 0.534296i \(-0.820577\pi\)
0.228441 + 0.973558i \(0.426637\pi\)
\(558\) 11.7145 + 14.8962i 0.495915 + 0.630608i
\(559\) 18.4802 + 5.42626i 0.781628 + 0.229507i
\(560\) 1.11582 9.43306i 0.0471519 0.398620i
\(561\) −2.32185 5.08414i −0.0980285 0.214652i
\(562\) −4.04652 + 4.24387i −0.170692 + 0.179017i
\(563\) 9.20912 + 26.6080i 0.388118 + 1.12139i 0.954747 + 0.297421i \(0.0961264\pi\)
−0.566628 + 0.823974i \(0.691752\pi\)
\(564\) −2.68752 7.76507i −0.113165 0.326968i
\(565\) −46.2923 + 48.5500i −1.94753 + 2.04251i
\(566\) −2.52951 5.53886i −0.106323 0.232816i
\(567\) 0.758306 6.41068i 0.0318459 0.269223i
\(568\) −2.52444 0.741242i −0.105923 0.0311018i
\(569\) −9.94079 12.6407i −0.416739 0.529927i 0.531680 0.846945i \(-0.321561\pi\)
−0.948420 + 0.317018i \(0.897318\pi\)
\(570\) −5.83186 + 4.15285i −0.244270 + 0.173944i
\(571\) −12.1354 + 15.4314i −0.507849 + 0.645783i −0.970598 0.240707i \(-0.922621\pi\)
0.462749 + 0.886489i \(0.346863\pi\)
\(572\) 0.900385 18.9014i 0.0376470 0.790307i
\(573\) −7.88301 9.09748i −0.329318 0.380053i
\(574\) −1.98073 + 0.741615i −0.0826740 + 0.0309544i
\(575\) 27.6838 + 25.7931i 1.15449 + 1.07565i
\(576\) −1.09999 1.90524i −0.0458331 0.0793852i
\(577\) 5.77401 + 29.9584i 0.240375 + 1.24719i 0.878684 + 0.477405i \(0.158422\pi\)
−0.638308 + 0.769781i \(0.720365\pi\)
\(578\) 13.1014 6.75425i 0.544947 0.280940i
\(579\) 7.85608 + 19.6235i 0.326488 + 0.815527i
\(580\) 8.91414 19.5192i 0.370139 0.810492i
\(581\) 0.0133893 0.593896i 0.000555482 0.0246390i
\(582\) −1.84522 + 6.28424i −0.0764868 + 0.260490i
\(583\) 14.8339 + 7.64740i 0.614357 + 0.316723i
\(584\) 0.769268 8.05614i 0.0318325 0.333365i
\(585\) −34.9432 8.47712i −1.44472 0.350486i
\(586\) −6.36956 1.22763i −0.263124 0.0507130i
\(587\) 17.7046 + 15.3411i 0.730748 + 0.633197i 0.938617 0.344960i \(-0.112108\pi\)
−0.207870 + 0.978157i \(0.566653\pi\)
\(588\) −5.55780 + 2.88298i −0.229200 + 0.118892i
\(589\) 17.4693 7.97797i 0.719811 0.328727i
\(590\) −19.8209 + 38.4471i −0.816012 + 1.58284i
\(591\) 12.6910 + 13.3099i 0.522038 + 0.547498i
\(592\) 1.20906 3.02009i 0.0496922 0.124125i
\(593\) 1.77904 + 18.6309i 0.0730563 + 0.765080i 0.955564 + 0.294783i \(0.0952473\pi\)
−0.882508 + 0.470297i \(0.844147\pi\)
\(594\) 2.75136 19.1362i 0.112890 0.785166i
\(595\) −10.5785 9.59222i −0.433677 0.393243i
\(596\) 3.07762 2.66677i 0.126064 0.109235i
\(597\) −13.0766 + 7.54976i −0.535188 + 0.308991i
\(598\) −12.0147 18.2292i −0.491317 0.745448i
\(599\) −10.8746 + 18.8353i −0.444322 + 0.769589i −0.998005 0.0631391i \(-0.979889\pi\)
0.553682 + 0.832728i \(0.313222\pi\)
\(600\) −6.66867 2.30805i −0.272247 0.0942257i
\(601\) 13.9452 21.6991i 0.568835 0.885125i −0.431017 0.902344i \(-0.641845\pi\)
0.999852 + 0.0172193i \(0.00548135\pi\)
\(602\) 2.39316 + 10.9349i 0.0975379 + 0.445673i
\(603\) −6.91791 3.15930i −0.281719 0.128657i
\(604\) −10.4802 + 8.24171i −0.426433 + 0.335350i
\(605\) −16.3126 + 15.5540i −0.663200 + 0.632360i
\(606\) −0.622028 13.0580i −0.0252681 0.530444i
\(607\) −3.44485 2.45307i −0.139822 0.0995669i 0.508006 0.861354i \(-0.330383\pi\)
−0.647828 + 0.761787i \(0.724322\pi\)
\(608\) −2.13918 + 0.628121i −0.0867553 + 0.0254737i
\(609\) −13.9453 + 2.36307i −0.565090 + 0.0957563i
\(610\) 28.0492 32.3706i 1.13568 1.31065i
\(611\) −30.2679 28.8604i −1.22451 1.16757i
\(612\) −3.29234 0.314381i −0.133085 0.0127081i
\(613\) 18.9118 0.900879i 0.763839 0.0363861i 0.337953 0.941163i \(-0.390265\pi\)
0.425886 + 0.904777i \(0.359962\pi\)
\(614\) 10.8033 2.62086i 0.435986 0.105769i
\(615\) 0.365328 + 2.54091i 0.0147315 + 0.102460i
\(616\) 9.88611 4.81777i 0.398323 0.194113i
\(617\) −36.7550 5.28458i −1.47970 0.212749i −0.645310 0.763920i \(-0.723272\pi\)
−0.834392 + 0.551171i \(0.814181\pi\)
\(618\) 4.80961 + 0.229110i 0.193471 + 0.00921616i
\(619\) −12.3577 + 2.38175i −0.496697 + 0.0957304i −0.431447 0.902139i \(-0.641997\pi\)
−0.0652501 + 0.997869i \(0.520785\pi\)
\(620\) 26.7828 + 15.4630i 1.07562 + 0.621011i
\(621\) −10.4491 19.7068i −0.419310 0.790806i
\(622\) 20.9010i 0.838054i
\(623\) −1.57479 + 2.89267i −0.0630928 + 0.115892i
\(624\) 3.42543 + 2.20139i 0.137127 + 0.0881261i
\(625\) −2.04381 + 0.818219i −0.0817525 + 0.0327288i
\(626\) 16.1793 + 22.7206i 0.646654 + 0.908099i
\(627\) −7.69523 3.08071i −0.307318 0.123032i
\(628\) 1.62914 + 6.71543i 0.0650099 + 0.267975i
\(629\) −2.64402 4.11418i −0.105424 0.164043i
\(630\) −5.43402 20.1784i −0.216497 0.803927i
\(631\) 8.77193 + 29.8744i 0.349205 + 1.18928i 0.927615 + 0.373537i \(0.121855\pi\)
−0.578410 + 0.815746i \(0.696327\pi\)
\(632\) −2.19035 + 11.3646i −0.0871276 + 0.452061i
\(633\) −2.45002 + 0.847961i −0.0973796 + 0.0337034i
\(634\) 0.200040 0.824577i 0.00794461 0.0327481i
\(635\) 4.91701 6.90498i 0.195126 0.274016i
\(636\) −3.02108 + 1.94153i −0.119794 + 0.0769867i
\(637\) −18.4191 + 26.0043i −0.729791 + 1.03033i
\(638\) 24.5912 3.53568i 0.973576 0.139979i
\(639\) −5.76198 + 0.550203i −0.227941 + 0.0217657i
\(640\) −2.82210 2.21933i −0.111553 0.0877265i
\(641\) −14.9837 29.0643i −0.591820 1.14797i −0.974563 0.224115i \(-0.928051\pi\)
0.382743 0.923855i \(-0.374979\pi\)
\(642\) −1.71160 + 4.94533i −0.0675513 + 0.195177i
\(643\) −5.32874 −0.210145 −0.105072 0.994465i \(-0.533507\pi\)
−0.105072 + 0.994465i \(0.533507\pi\)
\(644\) 5.93796 11.2134i 0.233988 0.441870i
\(645\) 13.5861 0.534951
\(646\) −1.09623 + 3.16734i −0.0431304 + 0.124617i
\(647\) −3.28024 6.36278i −0.128960 0.250147i 0.815512 0.578740i \(-0.196456\pi\)
−0.944471 + 0.328594i \(0.893425\pi\)
\(648\) −1.91789 1.50825i −0.0753419 0.0592496i
\(649\) −49.8537 + 4.76045i −1.95693 + 0.186864i
\(650\) −35.5512 + 5.11149i −1.39443 + 0.200489i
\(651\) −1.47982 20.3308i −0.0579985 0.796827i
\(652\) 19.2760 12.3879i 0.754905 0.485148i
\(653\) −21.5706 + 30.2917i −0.844122 + 1.18540i 0.136722 + 0.990609i \(0.456343\pi\)
−0.980844 + 0.194794i \(0.937596\pi\)
\(654\) −2.95986 + 12.2007i −0.115740 + 0.477085i
\(655\) 54.6311 18.9080i 2.13461 0.738796i
\(656\) −0.151287 + 0.784953i −0.00590678 + 0.0306473i
\(657\) −5.01597 17.0828i −0.195692 0.666465i
\(658\) 6.26129 23.4857i 0.244091 0.915568i
\(659\) 16.7826 + 26.1143i 0.653759 + 1.01727i 0.996953 + 0.0780040i \(0.0248547\pi\)
−0.343194 + 0.939264i \(0.611509\pi\)
\(660\) −3.14691 12.9717i −0.122493 0.504924i
\(661\) 6.51884 + 2.60975i 0.253553 + 0.101507i 0.494957 0.868917i \(-0.335184\pi\)
−0.241404 + 0.970425i \(0.577608\pi\)
\(662\) −18.1353 25.4675i −0.704850 0.989823i
\(663\) 5.68282 2.27506i 0.220702 0.0883559i
\(664\) −0.188885 0.121389i −0.00733018 0.00471082i
\(665\) −21.1709 + 0.530630i −0.820973 + 0.0205769i
\(666\) 7.15682i 0.277321i
\(667\) 20.5156 20.0187i 0.794369 0.775126i
\(668\) 12.8734 + 7.43247i 0.498087 + 0.287571i
\(669\) −5.65384 + 1.08969i −0.218590 + 0.0421298i
\(670\) −12.3970 0.590543i −0.478939 0.0228147i
\(671\) 49.0857 + 7.05746i 1.89493 + 0.272450i
\(672\) −0.165849 + 2.36063i −0.00639777 + 0.0910634i
\(673\) −3.48013 24.2048i −0.134149 0.933027i −0.940065 0.340996i \(-0.889236\pi\)
0.805916 0.592030i \(-0.201673\pi\)
\(674\) 25.2448 6.12431i 0.972392 0.235900i
\(675\) −36.6536 + 1.74603i −1.41080 + 0.0672047i
\(676\) 7.68925 + 0.734235i 0.295740 + 0.0282398i
\(677\) −11.3738 10.8449i −0.437132 0.416805i 0.439292 0.898344i \(-0.355229\pi\)
−0.876424 + 0.481540i \(0.840078\pi\)
\(678\) 10.9443 12.6304i 0.420312 0.485066i
\(679\) −14.9239 + 12.3538i −0.572725 + 0.474096i
\(680\) −5.17867 + 1.52060i −0.198593 + 0.0583122i
\(681\) −1.75794 1.25182i −0.0673645 0.0479700i
\(682\) 1.70370 + 35.7651i 0.0652381 + 1.36952i
\(683\) −0.0413592 + 0.0394360i −0.00158257 + 0.00150897i −0.690870 0.722979i \(-0.742772\pi\)
0.689287 + 0.724488i \(0.257924\pi\)
\(684\) −3.85548 + 3.03198i −0.147418 + 0.115931i
\(685\) −69.9843 31.9607i −2.67396 1.22116i
\(686\) −18.3975 2.12924i −0.702418 0.0812948i
\(687\) −4.73716 + 7.37116i −0.180734 + 0.281227i
\(688\) 3.99813 + 1.38377i 0.152427 + 0.0527556i
\(689\) −9.13894 + 15.8291i −0.348166 + 0.603041i
\(690\) −11.7545 9.95017i −0.447486 0.378796i
\(691\) −5.91829 + 3.41693i −0.225142 + 0.129986i −0.608329 0.793685i \(-0.708160\pi\)
0.383187 + 0.923671i \(0.374827\pi\)
\(692\) −6.48368 + 5.61814i −0.246472 + 0.213570i
\(693\) 16.2521 17.9232i 0.617367 0.680846i
\(694\) −4.10290 + 28.5363i −0.155744 + 1.08322i
\(695\) 1.95372 + 20.4603i 0.0741090 + 0.776104i
\(696\) −1.98689 + 4.96301i −0.0753128 + 0.188122i
\(697\) 0.829313 + 0.869758i 0.0314125 + 0.0329444i
\(698\) 6.35483 12.3267i 0.240534 0.466571i
\(699\) 22.1421 10.1120i 0.837491 0.382469i
\(700\) −12.5304 16.6948i −0.473605 0.631004i
\(701\) 13.0971 + 11.3487i 0.494671 + 0.428635i 0.866133 0.499813i \(-0.166598\pi\)
−0.371462 + 0.928448i \(0.621143\pi\)
\(702\) 20.7907 + 4.00709i 0.784696 + 0.151238i
\(703\) −7.04837 1.70992i −0.265834 0.0644907i
\(704\) 0.395118 4.13786i 0.0148916 0.155952i
\(705\) −26.2214 13.5181i −0.987554 0.509119i
\(706\) −6.07430 + 20.6872i −0.228609 + 0.778572i
\(707\) 20.0846 33.0444i 0.755360 1.24276i
\(708\) 4.47664 9.80248i 0.168243 0.368400i
\(709\) 10.5410 + 26.3300i 0.395874 + 0.988845i 0.983693 + 0.179853i \(0.0575623\pi\)
−0.587820 + 0.808992i \(0.700013\pi\)
\(710\) −8.39586 + 4.32837i −0.315091 + 0.162441i
\(711\) 4.81875 + 25.0020i 0.180717 + 0.937650i
\(712\) 0.622424 + 1.07807i 0.0233263 + 0.0404024i
\(713\) 25.9099 + 32.1760i 0.970335 + 1.20500i
\(714\) 2.74616 + 2.26161i 0.102773 + 0.0846388i
\(715\) −44.4893 51.3434i −1.66381 1.92014i
\(716\) 0.0387028 0.812471i 0.00144639 0.0303635i
\(717\) 10.3667 13.1824i 0.387152 0.492304i
\(718\) 12.0225 8.56116i 0.448675 0.319500i
\(719\) −28.3577 36.0598i −1.05756 1.34480i −0.935914 0.352229i \(-0.885424\pi\)
−0.121651 0.992573i \(-0.538819\pi\)
\(720\) −7.57849 2.22525i −0.282434 0.0829300i
\(721\) 11.4129 + 8.52118i 0.425038 + 0.317345i
\(722\) −5.82801 12.7616i −0.216896 0.474936i
\(723\) −8.97554 + 9.41328i −0.333804 + 0.350084i
\(724\) 3.22681 + 9.32325i 0.119923 + 0.346496i
\(725\) −15.4231 44.5623i −0.572801 1.65500i
\(726\) 3.87498 4.06397i 0.143814 0.150828i
\(727\) −3.74790 8.20675i −0.139002 0.304371i 0.827310 0.561746i \(-0.189870\pi\)
−0.966312 + 0.257374i \(0.917143\pi\)
\(728\) 4.75525 + 11.0660i 0.176241 + 0.410135i
\(729\) 6.82432 + 2.00380i 0.252753 + 0.0742148i
\(730\) −17.9605 22.8387i −0.664749 0.845297i
\(731\) 5.18098 3.68936i 0.191626 0.136456i
\(732\) −6.59630 + 8.38787i −0.243806 + 0.310025i
\(733\) −0.527462 + 11.0728i −0.0194822 + 0.408983i 0.967970 + 0.251065i \(0.0807809\pi\)
−0.987452 + 0.157917i \(0.949522\pi\)
\(734\) −12.5386 14.4703i −0.462807 0.534108i
\(735\) −7.29849 + 21.2606i −0.269209 + 0.784211i
\(736\) −2.44568 4.12536i −0.0901491 0.152063i
\(737\) −7.18466 12.4442i −0.264650 0.458388i
\(738\) 0.332830 + 1.72689i 0.0122516 + 0.0635676i
\(739\) 1.29337 0.666778i 0.0475773 0.0245278i −0.434274 0.900781i \(-0.642995\pi\)
0.481851 + 0.876253i \(0.339965\pi\)
\(740\) −4.34080 10.8428i −0.159571 0.398589i
\(741\) 3.77117 8.25771i 0.138537 0.303355i
\(742\) −10.6200 0.239427i −0.389873 0.00878964i
\(743\) −7.88607 + 26.8575i −0.289312 + 0.985305i 0.678703 + 0.734413i \(0.262542\pi\)
−0.968015 + 0.250892i \(0.919276\pi\)
\(744\) −6.84817 3.53047i −0.251066 0.129433i
\(745\) 1.38975 14.5541i 0.0509165 0.533222i
\(746\) 19.3785 + 4.70118i 0.709498 + 0.172122i
\(747\) −0.485033 0.0934825i −0.0177464 0.00342035i
\(748\) −4.72260 4.09215i −0.172675 0.149624i
\(749\) −12.3805 + 9.29226i −0.452373 + 0.339532i
\(750\) −8.44078 + 3.85478i −0.308214 + 0.140756i
\(751\) −0.611603 + 1.18634i −0.0223177 + 0.0432903i −0.899731 0.436445i \(-0.856237\pi\)
0.877413 + 0.479736i \(0.159267\pi\)
\(752\) −6.33962 6.64880i −0.231182 0.242457i
\(753\) −0.826181 + 2.06370i −0.0301077 + 0.0752054i
\(754\) 2.58640 + 27.0860i 0.0941911 + 0.986413i
\(755\) −6.81221 + 47.3800i −0.247922 + 1.72433i
\(756\) 3.76162 + 11.7165i 0.136809 + 0.426124i
\(757\) 20.0101 17.3388i 0.727279 0.630191i −0.210431 0.977609i \(-0.567487\pi\)
0.937710 + 0.347418i \(0.112941\pi\)
\(758\) 10.2346 5.90895i 0.371737 0.214623i
\(759\) 2.33369 17.6770i 0.0847076 0.641633i
\(760\) −4.00218 + 6.93199i −0.145174 + 0.251450i
\(761\) 22.1373 + 7.66179i 0.802477 + 0.277740i 0.697361 0.716720i \(-0.254358\pi\)
0.105116 + 0.994460i \(0.466479\pi\)
\(762\) −1.14174 + 1.77658i −0.0413609 + 0.0643588i
\(763\) −27.4479 + 25.0149i −0.993679 + 0.905601i
\(764\) −12.2422 5.59084i −0.442908 0.202269i
\(765\) −9.33359 + 7.34001i −0.337457 + 0.265379i
\(766\) −23.2697 + 22.1877i −0.840770 + 0.801673i
\(767\) −2.60977 54.7859i −0.0942335 1.97820i
\(768\) 0.728585 + 0.518823i 0.0262905 + 0.0187214i
\(769\) 46.9234 13.7779i 1.69210 0.496846i 0.713162 0.701000i \(-0.247263\pi\)
0.978939 + 0.204154i \(0.0654444\pi\)
\(770\) 13.7515 37.0115i 0.495570 1.33380i
\(771\) −15.8791 + 18.3255i −0.571872 + 0.659975i
\(772\) 17.1036 + 16.3083i 0.615572 + 0.586947i
\(773\) 12.3758 + 1.18174i 0.445125 + 0.0425043i 0.315212 0.949021i \(-0.397924\pi\)
0.129913 + 0.991525i \(0.458530\pi\)
\(774\) 9.29721 0.442881i 0.334181 0.0159190i
\(775\) 66.0458 16.0225i 2.37243 0.575546i
\(776\) 1.04211 + 7.24802i 0.0374095 + 0.260189i
\(777\) −4.30696 + 6.38081i −0.154511 + 0.228910i
\(778\) −21.7531 3.12762i −0.779885 0.112131i
\(779\) 1.78024 + 0.0848031i 0.0637836 + 0.00303839i
\(780\) 14.3545 2.76661i 0.513974 0.0990604i
\(781\) −9.47110 5.46814i −0.338903 0.195666i
\(782\) −7.18453 0.602463i −0.256918 0.0215440i
\(783\) 27.7989i 0.993451i
\(784\) −4.31325 + 5.51325i −0.154044 + 0.196902i
\(785\) 20.8708 + 13.4129i 0.744911 + 0.478725i
\(786\) −13.3707 + 5.35284i −0.476918 + 0.190929i
\(787\) −20.7316 29.1135i −0.739002 1.03778i −0.997423 0.0717506i \(-0.977141\pi\)
0.258421 0.966033i \(-0.416798\pi\)
\(788\) 19.0884 + 7.64183i 0.679995 + 0.272229i
\(789\) 3.35947 + 13.8479i 0.119600 + 0.492999i
\(790\) 22.4649 + 34.9561i 0.799266 + 1.24368i
\(791\) 47.7348 12.8549i 1.69726 0.457069i
\(792\) −2.57635 8.77423i −0.0915464 0.311779i
\(793\) −10.2785 + 53.3299i −0.365000 + 1.89380i
\(794\) −18.1618 + 6.28587i −0.644539 + 0.223077i
\(795\) −3.03965 + 12.5296i −0.107805 + 0.444380i
\(796\) −9.79231 + 13.7514i −0.347079 + 0.487405i
\(797\) 8.60188 5.52809i 0.304694 0.195815i −0.379354 0.925251i \(-0.623854\pi\)
0.684049 + 0.729436i \(0.260218\pi\)
\(798\) 5.26207 0.383009i 0.186275 0.0135584i
\(799\) −13.6703 + 1.96549i −0.483619 + 0.0695340i
\(800\) −7.85394 + 0.749960i −0.277679 + 0.0265151i
\(801\) 2.15272 + 1.69292i 0.0760627 + 0.0598164i
\(802\) 10.8583 + 21.0622i 0.383420 + 0.743731i
\(803\) 11.0023 31.7890i 0.388262 1.12181i
\(804\) 3.09199 0.109046
\(805\) −12.3526 43.8480i −0.435373 1.54544i
\(806\) −39.2142 −1.38126
\(807\) 1.52313 4.40078i 0.0536166 0.154915i
\(808\) −6.69730 12.9909i −0.235610 0.457020i
\(809\) 0.815964 + 0.641681i 0.0286878 + 0.0225603i 0.632400 0.774642i \(-0.282070\pi\)
−0.603712 + 0.797202i \(0.706312\pi\)
\(810\) −8.72012 + 0.832670i −0.306394 + 0.0292570i
\(811\) 15.1197 2.17389i 0.530925 0.0763354i 0.128361 0.991727i \(-0.459028\pi\)
0.402564 + 0.915392i \(0.368119\pi\)
\(812\) −13.0847 + 8.88001i −0.459183 + 0.311627i
\(813\) −7.77583 + 4.99722i −0.272710 + 0.175260i
\(814\) 7.84364 11.0149i 0.274920 0.386070i
\(815\) 19.3945 79.9452i 0.679359 2.80036i
\(816\) 1.27068 0.439787i 0.0444827 0.0153956i
\(817\) 1.78513 9.26213i 0.0624538 0.324041i
\(818\) −11.0030 37.4728i −0.384711 1.31021i
\(819\) 18.7603 + 18.7131i 0.655537 + 0.653889i
\(820\) 1.55165 + 2.41441i 0.0541859 + 0.0843149i
\(821\) −0.0753021 0.310399i −0.00262806 0.0108330i 0.970482 0.241172i \(-0.0775317\pi\)
−0.973111 + 0.230339i \(0.926017\pi\)
\(822\) 17.7944 + 7.12379i 0.620650 + 0.248471i
\(823\) 1.62787 + 2.28602i 0.0567439 + 0.0796856i 0.841973 0.539520i \(-0.181394\pi\)
−0.785229 + 0.619205i \(0.787455\pi\)
\(824\) 4.99774 2.00079i 0.174105 0.0697010i
\(825\) −24.6764 15.8585i −0.859120 0.552123i
\(826\) 27.1978 16.6249i 0.946334 0.578456i
\(827\) 16.2046i 0.563490i 0.959489 + 0.281745i \(0.0909132\pi\)
−0.959489 + 0.281745i \(0.909087\pi\)
\(828\) −8.36817 6.42591i −0.290814 0.223316i
\(829\) 39.7597 + 22.9553i 1.38091 + 0.797271i 0.992268 0.124117i \(-0.0396098\pi\)
0.388645 + 0.921387i \(0.372943\pi\)
\(830\) −0.791539 + 0.152557i −0.0274747 + 0.00529532i
\(831\) −7.12808 0.339552i −0.247270 0.0117789i
\(832\) 4.50605 + 0.647872i 0.156219 + 0.0224609i
\(833\) 2.99018 + 10.0896i 0.103604 + 0.349583i
\(834\) −0.728721 5.06837i −0.0252336 0.175503i
\(835\) 51.8640 12.5821i 1.79483 0.435420i
\(836\) −9.25680 + 0.440956i −0.320153 + 0.0152508i
\(837\) −39.8827 3.80833i −1.37855 0.131635i
\(838\) 9.70743 + 9.25602i 0.335338 + 0.319744i
\(839\) −25.8801 + 29.8673i −0.893482 + 1.03113i 0.105843 + 0.994383i \(0.466246\pi\)
−0.999324 + 0.0367502i \(0.988299\pi\)
\(840\) 5.41761 + 6.54468i 0.186925 + 0.225813i
\(841\) −6.45106 + 1.89420i −0.222450 + 0.0653173i
\(842\) 9.11738 + 6.49246i 0.314206 + 0.223745i
\(843\) −0.249559 5.23889i −0.00859528 0.180437i
\(844\) −2.09782 + 2.00027i −0.0722099 + 0.0688520i
\(845\) 21.7986 17.1426i 0.749893 0.589723i
\(846\) −18.3844 8.39589i −0.632070 0.288657i
\(847\) 16.2260 3.55115i 0.557533 0.122019i
\(848\) −2.17068 + 3.37764i −0.0745414 + 0.115989i
\(849\) 5.14678 + 1.78132i 0.176637 + 0.0611347i
\(850\) −5.93041 + 10.2718i −0.203411 + 0.352319i
\(851\) −0.180035 15.6004i −0.00617151 0.534774i
\(852\) 2.03799 1.17663i 0.0698204 0.0403108i
\(853\) −9.96361 + 8.63352i −0.341148 + 0.295606i −0.808537 0.588446i \(-0.799740\pi\)
0.467389 + 0.884052i \(0.345195\pi\)
\(854\) −30.0537 + 9.64884i −1.02842 + 0.330176i
\(855\) −2.50609 + 17.4303i −0.0857066 + 0.596102i
\(856\) 0.556153 + 5.82430i 0.0190089 + 0.199070i
\(857\) −5.84487 + 14.5998i −0.199657 + 0.498719i −0.994081 0.108645i \(-0.965349\pi\)
0.794424 + 0.607364i \(0.207773\pi\)
\(858\) 11.6797 + 12.2494i 0.398740 + 0.418187i
\(859\) 19.4976 37.8200i 0.665248 1.29040i −0.278722 0.960372i \(-0.589911\pi\)
0.943970 0.330030i \(-0.107059\pi\)
\(860\) 13.8169 6.30998i 0.471153 0.215168i
\(861\) 0.742494 1.73994i 0.0253041 0.0592969i
\(862\) −13.5016 11.6992i −0.459867 0.398477i
\(863\) −21.0518 4.05740i −0.716612 0.138116i −0.182104 0.983279i \(-0.558291\pi\)
−0.534508 + 0.845164i \(0.679503\pi\)
\(864\) 4.51994 + 1.09653i 0.153772 + 0.0373046i
\(865\) −2.92782 + 30.6615i −0.0995488 + 1.04252i
\(866\) −21.8864 11.2832i −0.743729 0.383419i
\(867\) −3.71435 + 12.6499i −0.126146 + 0.429613i
\(868\) −10.9475 19.9890i −0.371582 0.678469i
\(869\) −19.9850 + 43.7611i −0.677945 + 1.48449i
\(870\) 7.13337 + 17.8183i 0.241844 + 0.604096i
\(871\) 13.9878 7.21121i 0.473959 0.244343i
\(872\) 2.65639 + 13.7827i 0.0899569 + 0.466741i
\(873\) 8.05476 + 13.9512i 0.272612 + 0.472178i
\(874\) −8.32786 + 6.70607i −0.281694 + 0.226836i
\(875\) −27.0741 4.51769i −0.915271 0.152726i
\(876\) 4.74019 + 5.47047i 0.160156 + 0.184830i
\(877\) 1.77667 37.2970i 0.0599940 1.25943i −0.745371 0.666650i \(-0.767727\pi\)
0.805365 0.592780i \(-0.201969\pi\)
\(878\) 10.9554 13.9309i 0.369727 0.470146i
\(879\) 4.72618 3.36549i 0.159410 0.113515i
\(880\) −9.22503 11.7306i −0.310976 0.395438i
\(881\) −28.3040 8.31079i −0.953585 0.279998i −0.232306 0.972643i \(-0.574627\pi\)
−0.721279 + 0.692645i \(0.756445\pi\)
\(882\) −4.30144 + 14.7870i −0.144837 + 0.497904i
\(883\) −9.45256 20.6982i −0.318104 0.696550i 0.681266 0.732036i \(-0.261430\pi\)
−0.999370 + 0.0354852i \(0.988702\pi\)
\(884\) 4.72274 4.95307i 0.158843 0.166590i
\(885\) −12.6540 36.5614i −0.425361 1.22900i
\(886\) 6.44513 + 18.6220i 0.216528 + 0.625618i
\(887\) 2.78790 2.92386i 0.0936084 0.0981736i −0.675263 0.737577i \(-0.735970\pi\)
0.768872 + 0.639403i \(0.220818\pi\)
\(888\) 1.20873 + 2.64676i 0.0405625 + 0.0888194i
\(889\) −5.73935 + 2.46629i −0.192492 + 0.0827166i
\(890\) 4.28824 + 1.25914i 0.143742 + 0.0422065i
\(891\) −6.26931 7.97207i −0.210030 0.267074i
\(892\) −5.24380 + 3.73410i −0.175576 + 0.125027i
\(893\) −12.6611 + 16.0999i −0.423687 + 0.538762i
\(894\) −0.173311 + 3.63825i −0.00579640 + 0.121681i
\(895\) −1.91236 2.20698i −0.0639232 0.0737713i
\(896\) 0.927715 + 2.47777i 0.0309928 + 0.0827765i
\(897\) 19.2162 + 3.47413i 0.641610 + 0.115998i
\(898\) 15.6018 + 27.0230i 0.520638 + 0.901771i
\(899\) −9.74360 50.5546i −0.324967 1.68609i
\(900\) −15.4277 + 7.95351i −0.514255 + 0.265117i
\(901\) 2.24332 + 5.60354i 0.0747358 + 0.186681i
\(902\) −1.38036 + 3.02257i −0.0459610 + 0.100641i
\(903\) −8.55564 5.20018i −0.284714 0.173051i
\(904\) 5.26413 17.9280i 0.175082 0.596276i
\(905\) 31.4831 + 16.2307i 1.04653 + 0.539525i
\(906\) 1.13356 11.8712i 0.0376601 0.394394i
\(907\) 30.2476 + 7.33798i 1.00435 + 0.243654i 0.704020 0.710181i \(-0.251387\pi\)
0.300334 + 0.953834i \(0.402902\pi\)
\(908\) −2.36921 0.456628i −0.0786251 0.0151537i
\(909\) −24.3006 21.0566i −0.806000 0.698403i
\(910\) 39.7723 + 16.9723i 1.31844 + 0.562626i
\(911\) 7.45802 3.40597i 0.247095 0.112845i −0.288018 0.957625i \(-0.592996\pi\)
0.535113 + 0.844780i \(0.320269\pi\)
\(912\) 0.913766 1.77246i 0.0302578 0.0586920i
\(913\) −0.644047 0.675457i −0.0213148 0.0223544i
\(914\) −3.82520 + 9.55489i −0.126526 + 0.316048i
\(915\) 3.64167 + 38.1373i 0.120390 + 1.26078i
\(916\) −1.39415 + 9.69655i −0.0460641 + 0.320383i
\(917\) −41.6403 9.00341i −1.37508 0.297319i
\(918\) 5.28427 4.57884i 0.174407 0.151124i
\(919\) −38.6364 + 22.3067i −1.27450 + 0.735831i −0.975831 0.218527i \(-0.929875\pi\)
−0.298665 + 0.954358i \(0.596541\pi\)
\(920\) −16.5755 4.65993i −0.546478 0.153633i
\(921\) −4.97157 + 8.61101i −0.163819 + 0.283742i
\(922\) 10.8696 + 3.76201i 0.357972 + 0.123895i
\(923\) 6.47547 10.0760i 0.213143 0.331656i
\(924\) −2.98331 + 9.37328i −0.0981437 + 0.308358i
\(925\) −23.3466 10.6621i −0.767633 0.350566i
\(926\) 21.7597 17.1120i 0.715069 0.562337i
\(927\) 8.57142 8.17283i 0.281522 0.268431i
\(928\) 0.284393 + 5.97014i 0.00933565 + 0.195979i
\(929\) −11.5596 8.23159i −0.379260 0.270070i 0.374490 0.927231i \(-0.377818\pi\)
−0.753750 + 0.657161i \(0.771757\pi\)
\(930\) −26.5409 + 7.79311i −0.870310 + 0.255546i
\(931\) 13.5352 + 7.76917i 0.443598 + 0.254624i
\(932\) 17.8219 20.5675i 0.583775 0.673712i
\(933\) 13.5299 + 12.9007i 0.442949 + 0.422351i
\(934\) 8.48996 + 0.810693i 0.277800 + 0.0265267i
\(935\) −22.4095 + 1.06749i −0.732868 + 0.0349108i
\(936\) 9.73288 2.36117i 0.318129 0.0771773i
\(937\) 1.83137 + 12.7375i 0.0598284 + 0.416115i 0.997622 + 0.0689223i \(0.0219561\pi\)
−0.937794 + 0.347193i \(0.887135\pi\)
\(938\) 7.58082 + 5.11694i 0.247523 + 0.167074i
\(939\) −24.6942 3.55048i −0.805863 0.115866i
\(940\) −32.9453 1.56938i −1.07456 0.0511874i
\(941\) 40.5898 7.82305i 1.32319 0.255024i 0.521750 0.853098i \(-0.325279\pi\)
0.801441 + 0.598074i \(0.204067\pi\)
\(942\) −5.35267 3.09037i −0.174399 0.100690i
\(943\) 0.768941 + 3.75588i 0.0250402 + 0.122308i
\(944\) 12.0482i 0.392135i
\(945\) 38.8020 + 21.1241i 1.26223 + 0.687168i
\(946\) 14.7944 + 9.50781i 0.481009 + 0.309126i
\(947\) −9.22252 + 3.69214i −0.299692 + 0.119978i −0.516635 0.856206i \(-0.672816\pi\)
0.216943 + 0.976184i \(0.430391\pi\)
\(948\) −6.00475 8.43249i −0.195025 0.273874i
\(949\) 34.2024 + 13.6926i 1.11026 + 0.444480i
\(950\) 4.14699 + 17.0941i 0.134546 + 0.554607i
\(951\) 0.410305 + 0.638447i 0.0133050 + 0.0207031i
\(952\) 3.84322 + 1.02460i 0.124559 + 0.0332076i
\(953\) −13.0535 44.4563i −0.422846 1.44008i −0.845591 0.533831i \(-0.820752\pi\)
0.422745 0.906249i \(-0.361066\pi\)
\(954\) −1.67165 + 8.67335i −0.0541217 + 0.280810i
\(955\) −45.6612 + 15.8035i −1.47756 + 0.511389i
\(956\) 4.42039 18.2211i 0.142966 0.589312i
\(957\) −12.8897 + 18.1010i −0.416665 + 0.585124i
\(958\) −2.97229 + 1.91017i −0.0960303 + 0.0617149i
\(959\) 31.8384 + 46.9138i 1.02812 + 1.51493i
\(960\) 3.17853 0.457004i 0.102587 0.0147497i
\(961\) 43.0052 4.10650i 1.38726 0.132468i
\(962\) 11.6410 + 9.15460i 0.375322 + 0.295156i
\(963\) 5.89814 + 11.4408i 0.190065 + 0.368674i
\(964\) −4.75610 + 13.7419i −0.153184 + 0.442595i
\(965\) 84.8457 2.73128
\(966\) 3.59372 + 10.7651i 0.115626 + 0.346361i
\(967\) 49.9308 1.60567 0.802833 0.596204i \(-0.203325\pi\)
0.802833 + 0.596204i \(0.203325\pi\)
\(968\) 2.05334 5.93273i 0.0659968 0.190685i
\(969\) −1.37370 2.66460i −0.0441295 0.0855993i
\(970\) 20.6650 + 16.2511i 0.663513 + 0.521792i
\(971\) 31.8626 3.04251i 1.02252 0.0976387i 0.429698 0.902973i \(-0.358620\pi\)
0.592821 + 0.805334i \(0.298014\pi\)
\(972\) 15.9712 2.29632i 0.512278 0.0736544i
\(973\) 6.60102 13.6324i 0.211619 0.437035i
\(974\) 15.8609 10.1932i 0.508215 0.326610i
\(975\) 18.6345 26.1684i 0.596781 0.838061i
\(976\) −2.81267 + 11.5940i −0.0900315 + 0.371115i
\(977\) 33.5700 11.6187i 1.07400 0.371715i 0.267870 0.963455i \(-0.413680\pi\)
0.806129 + 0.591741i \(0.201559\pi\)
\(978\) −3.87861 + 20.1242i −0.124024 + 0.643500i
\(979\) 1.45781 + 4.96484i 0.0465917 + 0.158677i
\(980\) 2.45189 + 25.0116i 0.0783226 + 0.798967i
\(981\) 16.6949 + 25.9777i 0.533026 + 0.829404i
\(982\) −7.02819 28.9706i −0.224278 0.924488i
\(983\) −0.841080 0.336718i −0.0268263 0.0107396i 0.358211 0.933641i \(-0.383387\pi\)
−0.385037 + 0.922901i \(0.625811\pi\)
\(984\) −0.414747 0.582430i −0.0132216 0.0185672i
\(985\) 68.5314 27.4358i 2.18359 0.874178i
\(986\) 7.55891 + 4.85782i 0.240725 + 0.154704i
\(987\) 11.3384 + 18.5492i 0.360905 + 0.590428i
\(988\) 10.1495i 0.322899i
\(989\) 20.2548 1.19927i 0.644066 0.0381344i
\(990\) −28.4327 16.4156i −0.903651 0.521723i
\(991\) −12.2044 + 2.35220i −0.387684 + 0.0747200i −0.379369 0.925245i \(-0.623859\pi\)
−0.00831513 + 0.999965i \(0.502647\pi\)
\(992\) −8.60423 0.409870i −0.273185 0.0130134i
\(993\) 27.6796 + 3.97973i 0.878387 + 0.126293i
\(994\) 6.94389 + 0.487851i 0.220247 + 0.0154737i
\(995\) 8.62553 + 59.9919i 0.273448 + 1.90187i
\(996\) 0.195165 0.0473466i 0.00618404 0.00150023i
\(997\) −3.36526 + 0.160307i −0.106579 + 0.00507698i −0.100804 0.994906i \(-0.532141\pi\)
−0.00577532 + 0.999983i \(0.501838\pi\)
\(998\) 19.7387 + 1.88482i 0.624818 + 0.0596629i
\(999\) 10.9504 + 10.4412i 0.346455 + 0.330345i
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 322.2.o.b.171.3 yes 160
7.5 odd 6 inner 322.2.o.b.33.3 160
23.7 odd 22 inner 322.2.o.b.283.3 yes 160
161.145 even 66 inner 322.2.o.b.145.3 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.o.b.33.3 160 7.5 odd 6 inner
322.2.o.b.145.3 yes 160 161.145 even 66 inner
322.2.o.b.171.3 yes 160 1.1 even 1 trivial
322.2.o.b.283.3 yes 160 23.7 odd 22 inner