Properties

Label 342.2.x.c.281.3
Level $342$
Weight $2$
Character 342.281
Analytic conductor $2.731$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [342,2,Mod(29,342)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(342, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([3, 17]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("342.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 342 = 2 \cdot 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 342.x (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.73088374913\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 281.3
Character \(\chi\) \(=\) 342.281
Dual form 342.2.x.c.185.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.766044 - 0.642788i) q^{2} +(-0.925504 + 1.46405i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.569858 - 1.56567i) q^{5} +(0.232096 + 1.71643i) q^{6} +(-2.36860 - 4.10253i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-1.28688 - 2.70997i) q^{9} +O(q^{10})\) \(q+(0.766044 - 0.642788i) q^{2} +(-0.925504 + 1.46405i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.569858 - 1.56567i) q^{5} +(0.232096 + 1.71643i) q^{6} +(-2.36860 - 4.10253i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-1.28688 - 2.70997i) q^{9} +(-0.569858 - 1.56567i) q^{10} +0.121113i q^{11} +(1.28110 + 1.16567i) q^{12} +(0.927977 + 2.54960i) q^{13} +(-4.45151 - 1.62022i) q^{14} +(1.76482 + 2.28334i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(1.15503 - 3.17343i) q^{17} +(-2.72774 - 1.24876i) q^{18} +(0.410407 - 4.33954i) q^{19} +(-1.44293 - 0.833077i) q^{20} +(8.19846 + 0.329164i) q^{21} +(0.0778499 + 0.0927779i) q^{22} +(-0.910332 - 0.160516i) q^{23} +(1.73066 + 0.0694849i) q^{24} +(1.70363 + 1.42952i) q^{25} +(2.34972 + 1.35661i) q^{26} +(5.15855 + 0.624022i) q^{27} +(-4.45151 + 1.62022i) q^{28} +(1.33192 - 7.55371i) q^{29} +(2.81963 + 0.614735i) q^{30} +6.35233i q^{31} +(-0.939693 + 0.342020i) q^{32} +(-0.177315 - 0.112091i) q^{33} +(-1.15503 - 3.17343i) q^{34} +(-7.77299 + 1.37059i) q^{35} +(-2.89226 + 0.796753i) q^{36} +6.86684i q^{37} +(-2.47501 - 3.58808i) q^{38} +(-4.59158 - 1.00106i) q^{39} +(-1.64084 + 0.289325i) q^{40} +(3.20887 - 2.69256i) q^{41} +(6.49197 - 5.01771i) q^{42} +(0.0557914 + 0.316409i) q^{43} +(0.119273 + 0.0210310i) q^{44} +(-4.97626 + 0.470543i) q^{45} +(-0.800533 + 0.462188i) q^{46} +(-8.24407 - 1.45365i) q^{47} +(1.37042 - 1.05922i) q^{48} +(-7.72052 + 13.3723i) q^{49} +2.22393 q^{50} +(3.57707 + 4.62804i) q^{51} +(2.67200 - 0.471147i) q^{52} +(7.36618 + 6.18096i) q^{53} +(4.35279 - 2.83782i) q^{54} +(0.189623 + 0.0690172i) q^{55} +(-2.36860 + 4.10253i) q^{56} +(5.97346 + 4.61711i) q^{57} +(-3.83512 - 6.64262i) q^{58} +(-0.0715540 - 0.405803i) q^{59} +(2.55510 - 1.34151i) q^{60} +(9.65927 - 3.51569i) q^{61} +(4.08320 + 4.86616i) q^{62} +(-8.06962 + 11.6983i) q^{63} +(-0.500000 + 0.866025i) q^{64} +4.52065 q^{65} +(-0.207882 + 0.0281098i) q^{66} +(-6.46093 + 7.69984i) q^{67} +(-2.92464 - 1.68854i) q^{68} +(1.07752 - 1.18421i) q^{69} +(-5.07346 + 6.04631i) q^{70} +(-3.87105 + 3.24819i) q^{71} +(-1.70346 + 2.46946i) q^{72} +(-0.587420 - 3.33142i) q^{73} +(4.41392 + 5.26031i) q^{74} +(-3.66960 + 1.17118i) q^{75} +(-4.20234 - 1.15772i) q^{76} +(0.496870 - 0.286868i) q^{77} +(-4.16082 + 2.18456i) q^{78} +(0.0602849 - 0.165631i) q^{79} +(-1.07098 + 1.27635i) q^{80} +(-5.68785 + 6.97483i) q^{81} +(0.727392 - 4.12525i) q^{82} +(14.5214 - 8.38392i) q^{83} +(1.74781 - 8.01675i) q^{84} +(-4.31034 - 3.61680i) q^{85} +(0.246122 + 0.206521i) q^{86} +(9.82631 + 8.94099i) q^{87} +(0.104887 - 0.0605565i) q^{88} +(2.94617 - 16.7085i) q^{89} +(-3.50958 + 3.55914i) q^{90} +(8.26180 - 9.84603i) q^{91} +(-0.316155 + 0.868629i) q^{92} +(-9.30012 - 5.87910i) q^{93} +(-7.24972 + 4.18563i) q^{94} +(-6.56042 - 3.11548i) q^{95} +(0.368955 - 1.69230i) q^{96} +(9.05119 + 10.7868i) q^{97} +(2.68131 + 15.2064i) q^{98} +(0.328212 - 0.155858i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 6 q^{3} - 30 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 6 q^{3} - 30 q^{8} + 6 q^{9} + 3 q^{13} + 3 q^{14} + 27 q^{15} - 27 q^{17} - 18 q^{18} + 3 q^{19} + 18 q^{23} + 3 q^{24} - 6 q^{27} + 3 q^{28} + 57 q^{33} + 27 q^{34} + 9 q^{38} - 30 q^{39} + 9 q^{41} - 3 q^{43} - 9 q^{44} + 27 q^{45} - 30 q^{49} - 132 q^{50} - 66 q^{51} + 6 q^{52} + 27 q^{54} + 102 q^{57} - 54 q^{59} + 6 q^{60} - 24 q^{61} - 3 q^{62} - 30 q^{64} + 36 q^{65} - 63 q^{66} + 51 q^{67} - 18 q^{68} + 3 q^{69} - 18 q^{71} - 3 q^{72} - 66 q^{73} - 6 q^{74} + 3 q^{78} - 51 q^{79} - 30 q^{81} - 36 q^{83} + 60 q^{84} - 3 q^{86} + 54 q^{87} - 27 q^{89} + 36 q^{90} - 69 q^{91} + 69 q^{93} + 18 q^{94} - 27 q^{95} + 81 q^{97} + 60 q^{98} + 51 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/342\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 0.642788i 0.541675 0.454519i
\(3\) −0.925504 + 1.46405i −0.534340 + 0.845270i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) 0.569858 1.56567i 0.254848 0.700190i −0.744617 0.667492i \(-0.767368\pi\)
0.999465 0.0326979i \(-0.0104099\pi\)
\(6\) 0.232096 + 1.71643i 0.0947528 + 0.700730i
\(7\) −2.36860 4.10253i −0.895246 1.55061i −0.833500 0.552520i \(-0.813666\pi\)
−0.0617461 0.998092i \(-0.519667\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) −1.28688 2.70997i −0.428962 0.903323i
\(10\) −0.569858 1.56567i −0.180205 0.495109i
\(11\) 0.121113i 0.0365169i 0.999833 + 0.0182585i \(0.00581217\pi\)
−0.999833 + 0.0182585i \(0.994188\pi\)
\(12\) 1.28110 + 1.16567i 0.369820 + 0.336501i
\(13\) 0.927977 + 2.54960i 0.257375 + 0.707131i 0.999327 + 0.0366785i \(0.0116778\pi\)
−0.741952 + 0.670452i \(0.766100\pi\)
\(14\) −4.45151 1.62022i −1.18972 0.433021i
\(15\) 1.76482 + 2.28334i 0.455674 + 0.589555i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 1.15503 3.17343i 0.280136 0.769669i −0.717209 0.696858i \(-0.754581\pi\)
0.997346 0.0728108i \(-0.0231969\pi\)
\(18\) −2.72774 1.24876i −0.642936 0.294336i
\(19\) 0.410407 4.33954i 0.0941538 0.995558i
\(20\) −1.44293 0.833077i −0.322649 0.186282i
\(21\) 8.19846 + 0.329164i 1.78905 + 0.0718294i
\(22\) 0.0778499 + 0.0927779i 0.0165977 + 0.0197803i
\(23\) −0.910332 0.160516i −0.189817 0.0334699i 0.0779312 0.996959i \(-0.475169\pi\)
−0.267749 + 0.963489i \(0.586280\pi\)
\(24\) 1.73066 + 0.0694849i 0.353269 + 0.0141836i
\(25\) 1.70363 + 1.42952i 0.340726 + 0.285903i
\(26\) 2.34972 + 1.35661i 0.460818 + 0.266054i
\(27\) 5.15855 + 0.624022i 0.992763 + 0.120093i
\(28\) −4.45151 + 1.62022i −0.841256 + 0.306192i
\(29\) 1.33192 7.55371i 0.247332 1.40269i −0.567682 0.823248i \(-0.692160\pi\)
0.815014 0.579441i \(-0.196729\pi\)
\(30\) 2.81963 + 0.614735i 0.514791 + 0.112235i
\(31\) 6.35233i 1.14091i 0.821328 + 0.570456i \(0.193233\pi\)
−0.821328 + 0.570456i \(0.806767\pi\)
\(32\) −0.939693 + 0.342020i −0.166116 + 0.0604612i
\(33\) −0.177315 0.112091i −0.0308667 0.0195125i
\(34\) −1.15503 3.17343i −0.198086 0.544238i
\(35\) −7.77299 + 1.37059i −1.31387 + 0.231672i
\(36\) −2.89226 + 0.796753i −0.482044 + 0.132792i
\(37\) 6.86684i 1.12890i 0.825467 + 0.564451i \(0.190912\pi\)
−0.825467 + 0.564451i \(0.809088\pi\)
\(38\) −2.47501 3.58808i −0.401500 0.582064i
\(39\) −4.59158 1.00106i −0.735242 0.160297i
\(40\) −1.64084 + 0.289325i −0.259440 + 0.0457462i
\(41\) 3.20887 2.69256i 0.501142 0.420508i −0.356858 0.934159i \(-0.616152\pi\)
0.857999 + 0.513651i \(0.171707\pi\)
\(42\) 6.49197 5.01771i 1.00173 0.774250i
\(43\) 0.0557914 + 0.316409i 0.00850811 + 0.0482519i 0.988766 0.149470i \(-0.0477568\pi\)
−0.980258 + 0.197722i \(0.936646\pi\)
\(44\) 0.119273 + 0.0210310i 0.0179811 + 0.00317055i
\(45\) −4.97626 + 0.470543i −0.741818 + 0.0701444i
\(46\) −0.800533 + 0.462188i −0.118032 + 0.0681459i
\(47\) −8.24407 1.45365i −1.20252 0.212037i −0.463734 0.885975i \(-0.653491\pi\)
−0.738788 + 0.673938i \(0.764602\pi\)
\(48\) 1.37042 1.05922i 0.197804 0.152885i
\(49\) −7.72052 + 13.3723i −1.10293 + 1.91033i
\(50\) 2.22393 0.314511
\(51\) 3.57707 + 4.62804i 0.500889 + 0.648056i
\(52\) 2.67200 0.471147i 0.370540 0.0653363i
\(53\) 7.36618 + 6.18096i 1.01182 + 0.849020i 0.988578 0.150710i \(-0.0481558\pi\)
0.0232449 + 0.999730i \(0.492600\pi\)
\(54\) 4.35279 2.83782i 0.592340 0.386178i
\(55\) 0.189623 + 0.0690172i 0.0255688 + 0.00930628i
\(56\) −2.36860 + 4.10253i −0.316517 + 0.548224i
\(57\) 5.97346 + 4.61711i 0.791205 + 0.611552i
\(58\) −3.83512 6.64262i −0.503576 0.872219i
\(59\) −0.0715540 0.405803i −0.00931554 0.0528310i 0.979796 0.200001i \(-0.0640946\pi\)
−0.989111 + 0.147170i \(0.952984\pi\)
\(60\) 2.55510 1.34151i 0.329863 0.173188i
\(61\) 9.65927 3.51569i 1.23674 0.450137i 0.360841 0.932627i \(-0.382490\pi\)
0.875902 + 0.482490i \(0.160267\pi\)
\(62\) 4.08320 + 4.86616i 0.518566 + 0.618003i
\(63\) −8.06962 + 11.6983i −1.01668 + 1.47385i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 4.52065 0.560718
\(66\) −0.207882 + 0.0281098i −0.0255885 + 0.00346008i
\(67\) −6.46093 + 7.69984i −0.789329 + 0.940685i −0.999315 0.0370192i \(-0.988214\pi\)
0.209986 + 0.977704i \(0.432658\pi\)
\(68\) −2.92464 1.68854i −0.354665 0.204766i
\(69\) 1.07752 1.18421i 0.129718 0.142563i
\(70\) −5.07346 + 6.04631i −0.606394 + 0.722672i
\(71\) −3.87105 + 3.24819i −0.459409 + 0.385490i −0.842913 0.538049i \(-0.819161\pi\)
0.383505 + 0.923539i \(0.374717\pi\)
\(72\) −1.70346 + 2.46946i −0.200755 + 0.291029i
\(73\) −0.587420 3.33142i −0.0687523 0.389914i −0.999694 0.0247454i \(-0.992123\pi\)
0.930941 0.365168i \(-0.118989\pi\)
\(74\) 4.41392 + 5.26031i 0.513108 + 0.611498i
\(75\) −3.66960 + 1.17118i −0.423729 + 0.135236i
\(76\) −4.20234 1.15772i −0.482042 0.132800i
\(77\) 0.496870 0.286868i 0.0566236 0.0326916i
\(78\) −4.16082 + 2.18456i −0.471121 + 0.247353i
\(79\) 0.0602849 0.165631i 0.00678258 0.0186350i −0.936255 0.351321i \(-0.885733\pi\)
0.943038 + 0.332686i \(0.107955\pi\)
\(80\) −1.07098 + 1.27635i −0.119740 + 0.142700i
\(81\) −5.68785 + 6.97483i −0.631984 + 0.774982i
\(82\) 0.727392 4.12525i 0.0803270 0.455557i
\(83\) 14.5214 8.38392i 1.59393 0.920255i 0.601305 0.799020i \(-0.294648\pi\)
0.992624 0.121235i \(-0.0386856\pi\)
\(84\) 1.74781 8.01675i 0.190702 0.874699i
\(85\) −4.31034 3.61680i −0.467522 0.392298i
\(86\) 0.246122 + 0.206521i 0.0265400 + 0.0222697i
\(87\) 9.82631 + 8.94099i 1.05349 + 0.958575i
\(88\) 0.104887 0.0605565i 0.0111810 0.00645534i
\(89\) 2.94617 16.7085i 0.312293 1.77110i −0.274721 0.961524i \(-0.588585\pi\)
0.587014 0.809577i \(-0.300303\pi\)
\(90\) −3.50958 + 3.55914i −0.369942 + 0.375166i
\(91\) 8.26180 9.84603i 0.866072 1.03214i
\(92\) −0.316155 + 0.868629i −0.0329614 + 0.0905608i
\(93\) −9.30012 5.87910i −0.964378 0.609635i
\(94\) −7.24972 + 4.18563i −0.747751 + 0.431714i
\(95\) −6.56042 3.11548i −0.673085 0.319642i
\(96\) 0.368955 1.69230i 0.0376563 0.172719i
\(97\) 9.05119 + 10.7868i 0.919009 + 1.09523i 0.995173 + 0.0981374i \(0.0312885\pi\)
−0.0761634 + 0.997095i \(0.524267\pi\)
\(98\) 2.68131 + 15.2064i 0.270853 + 1.53608i
\(99\) 0.328212 0.155858i 0.0329866 0.0156644i
\(100\) 1.70363 1.42952i 0.170363 0.142952i
\(101\) −4.64850 + 5.53986i −0.462543 + 0.551237i −0.946015 0.324123i \(-0.894931\pi\)
0.483472 + 0.875360i \(0.339375\pi\)
\(102\) 5.71504 + 1.24599i 0.565873 + 0.123372i
\(103\) 1.16573 + 0.673034i 0.114863 + 0.0663161i 0.556331 0.830961i \(-0.312209\pi\)
−0.441468 + 0.897277i \(0.645542\pi\)
\(104\) 1.74403 2.07845i 0.171016 0.203809i
\(105\) 5.18732 12.6485i 0.506231 1.23437i
\(106\) 9.61587 0.933976
\(107\) 5.76048 9.97745i 0.556887 0.964556i −0.440867 0.897572i \(-0.645329\pi\)
0.997754 0.0669840i \(-0.0213376\pi\)
\(108\) 1.51031 4.97182i 0.145330 0.478413i
\(109\) 0.599418 + 0.714359i 0.0574139 + 0.0684232i 0.793987 0.607935i \(-0.208002\pi\)
−0.736573 + 0.676358i \(0.763557\pi\)
\(110\) 0.189623 0.0690172i 0.0180799 0.00658053i
\(111\) −10.0534 6.35529i −0.954227 0.603217i
\(112\) 0.822606 + 4.66523i 0.0777289 + 0.440823i
\(113\) −0.00528115 0.00914723i −0.000496809 0.000860499i 0.865777 0.500430i \(-0.166825\pi\)
−0.866274 + 0.499570i \(0.833491\pi\)
\(114\) 7.54376 0.302754i 0.706538 0.0283555i
\(115\) −0.770076 + 1.33381i −0.0718099 + 0.124378i
\(116\) −7.20767 2.62338i −0.669215 0.243574i
\(117\) 5.71513 5.79583i 0.528364 0.535824i
\(118\) −0.315659 0.264869i −0.0290587 0.0243832i
\(119\) −15.7549 + 2.77801i −1.44425 + 0.254660i
\(120\) 1.09502 2.67004i 0.0999611 0.243741i
\(121\) 10.9853 0.998667
\(122\) 5.13959 8.90203i 0.465317 0.805952i
\(123\) 0.972224 + 7.18993i 0.0876624 + 0.648294i
\(124\) 6.25582 + 1.10307i 0.561789 + 0.0990586i
\(125\) 10.4236 6.01809i 0.932319 0.538274i
\(126\) 1.33784 + 14.1485i 0.119185 + 1.26045i
\(127\) −13.6674 2.40994i −1.21279 0.213847i −0.469570 0.882895i \(-0.655591\pi\)
−0.743219 + 0.669048i \(0.766702\pi\)
\(128\) 0.173648 + 0.984808i 0.0153485 + 0.0870455i
\(129\) −0.514873 0.211156i −0.0453321 0.0185913i
\(130\) 3.46302 2.90582i 0.303727 0.254857i
\(131\) 11.7067 2.06420i 1.02282 0.180350i 0.363009 0.931786i \(-0.381749\pi\)
0.659806 + 0.751436i \(0.270638\pi\)
\(132\) −0.141178 + 0.155157i −0.0122880 + 0.0135047i
\(133\) −18.7752 + 8.59491i −1.62801 + 0.745273i
\(134\) 10.0514i 0.868311i
\(135\) 3.91665 7.72099i 0.337092 0.664517i
\(136\) −3.32578 + 0.586425i −0.285184 + 0.0502856i
\(137\) 3.42579 + 9.41228i 0.292685 + 0.804145i 0.995672 + 0.0929420i \(0.0296271\pi\)
−0.702987 + 0.711203i \(0.748151\pi\)
\(138\) 0.0642302 1.59978i 0.00546764 0.136182i
\(139\) 2.42121 0.881249i 0.205364 0.0747466i −0.237290 0.971439i \(-0.576259\pi\)
0.442654 + 0.896692i \(0.354037\pi\)
\(140\) 7.89290i 0.667072i
\(141\) 9.75814 10.7244i 0.821784 0.903155i
\(142\) −0.877495 + 4.97652i −0.0736378 + 0.417621i
\(143\) −0.308789 + 0.112390i −0.0258223 + 0.00939853i
\(144\) 0.282413 + 2.98668i 0.0235344 + 0.248890i
\(145\) −11.0676 6.38990i −0.919117 0.530652i
\(146\) −2.59139 2.17443i −0.214465 0.179957i
\(147\) −12.4324 23.6794i −1.02541 1.95304i
\(148\) 6.76252 + 1.19241i 0.555876 + 0.0980159i
\(149\) −9.60221 11.4435i −0.786643 0.937485i 0.212570 0.977146i \(-0.431817\pi\)
−0.999213 + 0.0396608i \(0.987372\pi\)
\(150\) −2.05826 + 3.25595i −0.168056 + 0.265847i
\(151\) 12.5276 + 7.23279i 1.01948 + 0.588596i 0.913953 0.405820i \(-0.133014\pi\)
0.105526 + 0.994417i \(0.466347\pi\)
\(152\) −3.96335 + 1.81434i −0.321470 + 0.147163i
\(153\) −10.0863 + 0.953732i −0.815427 + 0.0771047i
\(154\) 0.196229 0.539135i 0.0158126 0.0434448i
\(155\) 9.94566 + 3.61992i 0.798855 + 0.290759i
\(156\) −1.78317 + 4.34800i −0.142768 + 0.348118i
\(157\) −19.9315 7.25448i −1.59071 0.578971i −0.613212 0.789919i \(-0.710123\pi\)
−0.977497 + 0.210948i \(0.932345\pi\)
\(158\) −0.0602849 0.165631i −0.00479601 0.0131769i
\(159\) −15.8667 + 5.06396i −1.25831 + 0.401598i
\(160\) 1.66615i 0.131721i
\(161\) 1.49769 + 4.11487i 0.118034 + 0.324297i
\(162\) 0.126187 + 8.99912i 0.00991421 + 0.707037i
\(163\) 7.29892 + 12.6421i 0.571696 + 0.990206i 0.996392 + 0.0848703i \(0.0270476\pi\)
−0.424696 + 0.905336i \(0.639619\pi\)
\(164\) −2.09444 3.62768i −0.163548 0.283274i
\(165\) −0.276542 + 0.213742i −0.0215287 + 0.0166398i
\(166\) 5.73494 15.7566i 0.445118 1.22295i
\(167\) −1.97356 + 11.1926i −0.152719 + 0.866113i 0.808123 + 0.589014i \(0.200484\pi\)
−0.960842 + 0.277098i \(0.910627\pi\)
\(168\) −3.81417 7.26466i −0.294269 0.560480i
\(169\) 4.31927 3.62430i 0.332252 0.278792i
\(170\) −5.62675 −0.431552
\(171\) −12.2881 + 4.47229i −0.939698 + 0.342005i
\(172\) 0.321290 0.0244981
\(173\) −16.6512 + 13.9720i −1.26597 + 1.06227i −0.270947 + 0.962594i \(0.587337\pi\)
−0.995020 + 0.0996777i \(0.968219\pi\)
\(174\) 13.2746 + 0.532966i 1.00634 + 0.0404041i
\(175\) 1.82942 10.3751i 0.138291 0.784288i
\(176\) 0.0414231 0.113809i 0.00312238 0.00857867i
\(177\) 0.660339 + 0.270814i 0.0496341 + 0.0203556i
\(178\) −8.48314 14.6932i −0.635839 1.10130i
\(179\) −3.07538 5.32671i −0.229865 0.398137i 0.727903 0.685680i \(-0.240495\pi\)
−0.957768 + 0.287543i \(0.907162\pi\)
\(180\) −0.400725 + 4.98237i −0.0298683 + 0.371364i
\(181\) −8.38609 23.0406i −0.623333 1.71259i −0.698678 0.715436i \(-0.746228\pi\)
0.0753455 0.997157i \(-0.475994\pi\)
\(182\) 12.8531i 0.952734i
\(183\) −3.79255 + 17.3954i −0.280353 + 1.28591i
\(184\) 0.316155 + 0.868629i 0.0233073 + 0.0640362i
\(185\) 10.7512 + 3.91313i 0.790446 + 0.287699i
\(186\) −10.9033 + 1.47435i −0.799470 + 0.108105i
\(187\) 0.384343 + 0.139889i 0.0281059 + 0.0102297i
\(188\) −2.86314 + 7.86640i −0.208816 + 0.573716i
\(189\) −9.65845 22.6412i −0.702549 1.64690i
\(190\) −7.02816 + 1.83036i −0.509877 + 0.132788i
\(191\) 6.18680 + 3.57195i 0.447661 + 0.258457i 0.706842 0.707371i \(-0.250119\pi\)
−0.259181 + 0.965829i \(0.583452\pi\)
\(192\) −0.805153 1.53353i −0.0581069 0.110673i
\(193\) 6.34524 + 7.56196i 0.456740 + 0.544322i 0.944437 0.328691i \(-0.106608\pi\)
−0.487697 + 0.873013i \(0.662163\pi\)
\(194\) 13.8672 + 2.44517i 0.995609 + 0.175553i
\(195\) −4.18388 + 6.61846i −0.299614 + 0.473958i
\(196\) 11.8285 + 9.92530i 0.844894 + 0.708950i
\(197\) 7.50810 + 4.33480i 0.534930 + 0.308842i 0.743022 0.669267i \(-0.233392\pi\)
−0.208092 + 0.978109i \(0.566725\pi\)
\(198\) 0.151241 0.330365i 0.0107483 0.0234780i
\(199\) 7.26186 2.64310i 0.514780 0.187365i −0.0715499 0.997437i \(-0.522795\pi\)
0.586330 + 0.810072i \(0.300572\pi\)
\(200\) 0.386182 2.19015i 0.0273072 0.154867i
\(201\) −5.29333 16.5854i −0.373363 1.16984i
\(202\) 7.23178i 0.508826i
\(203\) −34.1441 + 12.4275i −2.39645 + 0.872236i
\(204\) 5.17888 2.71907i 0.362594 0.190373i
\(205\) −2.38707 6.55842i −0.166720 0.458060i
\(206\) 1.32562 0.233742i 0.0923603 0.0162856i
\(207\) 0.736499 + 2.67354i 0.0511902 + 0.185824i
\(208\) 2.71322i 0.188128i
\(209\) 0.525574 + 0.0497056i 0.0363547 + 0.00343821i
\(210\) −4.15660 13.0237i −0.286832 0.898719i
\(211\) 7.36889 1.29933i 0.507295 0.0894498i 0.0858580 0.996307i \(-0.472637\pi\)
0.421437 + 0.906858i \(0.361526\pi\)
\(212\) 7.36618 6.18096i 0.505911 0.424510i
\(213\) −1.17285 8.67362i −0.0803623 0.594307i
\(214\) −2.00059 11.3459i −0.136758 0.775592i
\(215\) 0.527185 + 0.0929570i 0.0359537 + 0.00633962i
\(216\) −2.03885 4.77944i −0.138726 0.325200i
\(217\) 26.0606 15.0461i 1.76911 1.02140i
\(218\) 0.918362 + 0.161932i 0.0621993 + 0.0109674i
\(219\) 5.42103 + 2.22323i 0.366319 + 0.150232i
\(220\) 0.100896 0.174758i 0.00680243 0.0117822i
\(221\) 9.16280 0.616357
\(222\) −11.7865 + 1.59377i −0.791055 + 0.106967i
\(223\) 4.39750 0.775398i 0.294478 0.0519245i −0.0244571 0.999701i \(-0.507786\pi\)
0.318936 + 0.947776i \(0.396675\pi\)
\(224\) 3.62890 + 3.04501i 0.242466 + 0.203453i
\(225\) 1.68157 6.45641i 0.112104 0.430427i
\(226\) −0.00992532 0.00361252i −0.000660223 0.000240301i
\(227\) 9.66804 16.7455i 0.641691 1.11144i −0.343365 0.939202i \(-0.611567\pi\)
0.985055 0.172239i \(-0.0551000\pi\)
\(228\) 5.58425 5.08096i 0.369826 0.336495i
\(229\) 7.05953 + 12.2275i 0.466507 + 0.808013i 0.999268 0.0382521i \(-0.0121790\pi\)
−0.532761 + 0.846266i \(0.678846\pi\)
\(230\) 0.267445 + 1.51675i 0.0176348 + 0.100012i
\(231\) −0.0398660 + 0.992940i −0.00262299 + 0.0653306i
\(232\) −7.20767 + 2.62338i −0.473207 + 0.172233i
\(233\) −6.15751 7.33824i −0.403392 0.480744i 0.525659 0.850695i \(-0.323819\pi\)
−0.929051 + 0.369951i \(0.879374\pi\)
\(234\) 0.652555 8.11347i 0.0426589 0.530394i
\(235\) −6.97390 + 12.0791i −0.454927 + 0.787956i
\(236\) −0.412063 −0.0268230
\(237\) 0.186699 + 0.241553i 0.0121274 + 0.0156905i
\(238\) −10.2833 + 12.2551i −0.666566 + 0.794382i
\(239\) 13.0448 + 7.53139i 0.843795 + 0.487165i 0.858552 0.512726i \(-0.171364\pi\)
−0.0147573 + 0.999891i \(0.504698\pi\)
\(240\) −0.877438 2.74924i −0.0566384 0.177463i
\(241\) 12.4737 14.8655i 0.803499 0.957573i −0.196237 0.980557i \(-0.562872\pi\)
0.999736 + 0.0229834i \(0.00731650\pi\)
\(242\) 8.41525 7.06124i 0.540953 0.453913i
\(243\) −4.94737 14.7825i −0.317374 0.948300i
\(244\) −1.78496 10.1230i −0.114270 0.648060i
\(245\) 16.5371 + 19.7081i 1.05652 + 1.25911i
\(246\) 5.36636 + 4.88287i 0.342147 + 0.311320i
\(247\) 11.4449 2.98062i 0.728223 0.189652i
\(248\) 5.50128 3.17616i 0.349331 0.201687i
\(249\) −1.16511 + 29.0194i −0.0738360 + 1.83903i
\(250\) 4.11662 11.3103i 0.260358 0.715327i
\(251\) −13.6352 + 16.2498i −0.860646 + 1.02568i 0.138729 + 0.990330i \(0.455698\pi\)
−0.999375 + 0.0353477i \(0.988746\pi\)
\(252\) 10.1193 + 9.97841i 0.637457 + 0.628581i
\(253\) 0.0194406 0.110253i 0.00122222 0.00693155i
\(254\) −12.0189 + 6.93914i −0.754135 + 0.435400i
\(255\) 9.28442 2.96319i 0.581413 0.185562i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −7.76866 6.51868i −0.484596 0.406624i 0.367489 0.930028i \(-0.380218\pi\)
−0.852085 + 0.523404i \(0.824662\pi\)
\(258\) −0.530144 + 0.169199i −0.0330053 + 0.0105339i
\(259\) 28.1714 16.2648i 1.75049 1.01065i
\(260\) 0.785002 4.45197i 0.0486838 0.276099i
\(261\) −22.1844 + 6.11129i −1.37318 + 0.378279i
\(262\) 7.64098 9.10616i 0.472061 0.562581i
\(263\) −1.26310 + 3.47034i −0.0778862 + 0.213990i −0.972524 0.232801i \(-0.925211\pi\)
0.894638 + 0.446791i \(0.147433\pi\)
\(264\) −0.00841553 + 0.209605i −0.000517940 + 0.0129003i
\(265\) 13.8750 8.01076i 0.852337 0.492097i
\(266\) −8.85792 + 18.6525i −0.543114 + 1.14366i
\(267\) 21.7354 + 19.7771i 1.33019 + 1.21034i
\(268\) 6.46093 + 7.69984i 0.394664 + 0.470343i
\(269\) −2.15297 12.2101i −0.131269 0.744463i −0.977385 0.211465i \(-0.932176\pi\)
0.846117 0.532998i \(-0.178935\pi\)
\(270\) −1.96262 8.43220i −0.119442 0.513167i
\(271\) −11.0252 + 9.25122i −0.669731 + 0.561971i −0.912986 0.407991i \(-0.866229\pi\)
0.243254 + 0.969963i \(0.421785\pi\)
\(272\) −2.17075 + 2.58700i −0.131621 + 0.156860i
\(273\) 6.76875 + 21.2082i 0.409663 + 1.28358i
\(274\) 8.67440 + 5.00817i 0.524040 + 0.302554i
\(275\) −0.173133 + 0.206332i −0.0104403 + 0.0124423i
\(276\) −0.979113 1.26679i −0.0589357 0.0762516i
\(277\) −16.1578 −0.970830 −0.485415 0.874284i \(-0.661331\pi\)
−0.485415 + 0.874284i \(0.661331\pi\)
\(278\) 1.28830 2.23140i 0.0772671 0.133831i
\(279\) 17.2146 8.17471i 1.03061 0.489407i
\(280\) 5.07346 + 6.04631i 0.303197 + 0.361336i
\(281\) −23.8395 + 8.67685i −1.42214 + 0.517618i −0.934669 0.355520i \(-0.884304\pi\)
−0.487474 + 0.873138i \(0.662082\pi\)
\(282\) 0.581676 14.4878i 0.0346383 0.862734i
\(283\) −5.15638 29.2433i −0.306515 1.73833i −0.616286 0.787522i \(-0.711363\pi\)
0.309771 0.950811i \(-0.399748\pi\)
\(284\) 2.52665 + 4.37628i 0.149929 + 0.259684i
\(285\) 10.6329 6.72139i 0.629839 0.398141i
\(286\) −0.164303 + 0.284582i −0.00971546 + 0.0168277i
\(287\) −18.6469 6.78690i −1.10069 0.400618i
\(288\) 2.13614 + 2.10640i 0.125873 + 0.124121i
\(289\) 4.28623 + 3.59657i 0.252131 + 0.211563i
\(290\) −12.5856 + 2.21919i −0.739055 + 0.130315i
\(291\) −24.1693 + 3.26818i −1.41683 + 0.191584i
\(292\) −3.38282 −0.197964
\(293\) −10.9830 + 19.0231i −0.641633 + 1.11134i 0.343435 + 0.939176i \(0.388410\pi\)
−0.985068 + 0.172165i \(0.944924\pi\)
\(294\) −24.7446 10.1481i −1.44313 0.591847i
\(295\) −0.676130 0.119220i −0.0393658 0.00694125i
\(296\) 5.94686 3.43342i 0.345654 0.199564i
\(297\) −0.0755772 + 0.624767i −0.00438543 + 0.0362526i
\(298\) −14.7114 2.59402i −0.852210 0.150268i
\(299\) −0.435516 2.46994i −0.0251866 0.142840i
\(300\) 0.516166 + 3.81722i 0.0298008 + 0.220387i
\(301\) 1.16593 0.978331i 0.0672031 0.0563901i
\(302\) 14.2458 2.51192i 0.819755 0.144545i
\(303\) −3.80843 11.9328i −0.218789 0.685521i
\(304\) −1.86986 + 3.93746i −0.107244 + 0.225829i
\(305\) 17.1267i 0.980671i
\(306\) −7.11349 + 7.21393i −0.406651 + 0.412393i
\(307\) −17.6988 + 3.12078i −1.01013 + 0.178112i −0.654135 0.756377i \(-0.726967\pi\)
−0.355990 + 0.934490i \(0.615856\pi\)
\(308\) −0.196229 0.539135i −0.0111812 0.0307201i
\(309\) −2.06424 + 1.08379i −0.117431 + 0.0616547i
\(310\) 9.94566 3.61992i 0.564876 0.205598i
\(311\) 12.0461i 0.683073i −0.939869 0.341537i \(-0.889053\pi\)
0.939869 0.341537i \(-0.110947\pi\)
\(312\) 1.42885 + 4.47696i 0.0808928 + 0.253458i
\(313\) −3.05256 + 17.3119i −0.172541 + 0.978526i 0.768404 + 0.639965i \(0.221051\pi\)
−0.940944 + 0.338561i \(0.890060\pi\)
\(314\) −19.9315 + 7.25448i −1.12480 + 0.409394i
\(315\) 13.7172 + 19.3008i 0.772876 + 1.08747i
\(316\) −0.152647 0.0881307i −0.00858705 0.00495774i
\(317\) 6.82314 + 5.72529i 0.383225 + 0.321564i 0.813967 0.580911i \(-0.197304\pi\)
−0.430742 + 0.902475i \(0.641748\pi\)
\(318\) −8.89952 + 14.0781i −0.499061 + 0.789461i
\(319\) 0.914853 + 0.161313i 0.0512219 + 0.00903180i
\(320\) 1.07098 + 1.27635i 0.0598698 + 0.0713500i
\(321\) 9.27613 + 17.6678i 0.517743 + 0.986121i
\(322\) 3.79228 + 2.18947i 0.211336 + 0.122015i
\(323\) −13.2972 6.31470i −0.739874 0.351359i
\(324\) 5.88118 + 6.81261i 0.326732 + 0.378478i
\(325\) −2.06376 + 5.67013i −0.114477 + 0.314522i
\(326\) 13.7175 + 4.99276i 0.759741 + 0.276523i
\(327\) −1.60062 + 0.216436i −0.0885145 + 0.0119690i
\(328\) −3.93626 1.43268i −0.217344 0.0791067i
\(329\) 13.5632 + 37.2647i 0.747766 + 2.05447i
\(330\) −0.0744524 + 0.341494i −0.00409847 + 0.0187986i
\(331\) 9.86851i 0.542422i 0.962520 + 0.271211i \(0.0874242\pi\)
−0.962520 + 0.271211i \(0.912576\pi\)
\(332\) −5.73494 15.7566i −0.314746 0.864757i
\(333\) 18.6089 8.83684i 1.01976 0.484256i
\(334\) 5.68265 + 9.84265i 0.310941 + 0.538566i
\(335\) 8.37361 + 14.5035i 0.457499 + 0.792412i
\(336\) −7.59145 3.11335i −0.414148 0.169847i
\(337\) −3.94156 + 10.8293i −0.214710 + 0.589912i −0.999557 0.0297790i \(-0.990520\pi\)
0.784846 + 0.619691i \(0.212742\pi\)
\(338\) 0.979100 5.55275i 0.0532560 0.302030i
\(339\) 0.0182797 0.000733921i 0.000992818 3.98611e-5i
\(340\) −4.31034 + 3.61680i −0.233761 + 0.196149i
\(341\) −0.769349 −0.0416626
\(342\) −6.53853 + 11.3246i −0.353563 + 0.612367i
\(343\) 39.9868 2.15909
\(344\) 0.246122 0.206521i 0.0132700 0.0111349i
\(345\) −1.24006 2.36188i −0.0667624 0.127159i
\(346\) −3.77452 + 21.4064i −0.202919 + 1.15081i
\(347\) −3.67371 + 10.0934i −0.197215 + 0.541844i −0.998398 0.0565751i \(-0.981982\pi\)
0.801183 + 0.598419i \(0.204204\pi\)
\(348\) 10.5115 8.12444i 0.563475 0.435516i
\(349\) −1.85698 3.21638i −0.0994019 0.172169i 0.812035 0.583608i \(-0.198360\pi\)
−0.911437 + 0.411439i \(0.865026\pi\)
\(350\) −5.26760 9.12375i −0.281565 0.487685i
\(351\) 3.19601 + 13.7313i 0.170590 + 0.732922i
\(352\) −0.0414231 0.113809i −0.00220786 0.00606604i
\(353\) 17.2787i 0.919651i 0.888009 + 0.459825i \(0.152088\pi\)
−0.888009 + 0.459825i \(0.847912\pi\)
\(354\) 0.679925 0.217003i 0.0361376 0.0115336i
\(355\) 2.87966 + 7.91180i 0.152837 + 0.419915i
\(356\) −15.9431 5.80281i −0.844982 0.307548i
\(357\) 10.5141 25.6370i 0.556463 1.35685i
\(358\) −5.77982 2.10368i −0.305473 0.111183i
\(359\) −2.90693 + 7.98672i −0.153422 + 0.421523i −0.992463 0.122545i \(-0.960894\pi\)
0.839041 + 0.544068i \(0.183117\pi\)
\(360\) 2.89563 + 4.07430i 0.152613 + 0.214734i
\(361\) −18.6631 3.56195i −0.982270 0.187471i
\(362\) −21.2343 12.2596i −1.11605 0.644352i
\(363\) −10.1670 + 16.0831i −0.533627 + 0.844143i
\(364\) −8.26180 9.84603i −0.433036 0.516072i
\(365\) −5.55067 0.978732i −0.290535 0.0512292i
\(366\) 8.27631 + 15.7635i 0.432609 + 0.823970i
\(367\) 11.4886 + 9.64007i 0.599699 + 0.503207i 0.891349 0.453318i \(-0.149760\pi\)
−0.291650 + 0.956525i \(0.594204\pi\)
\(368\) 0.800533 + 0.462188i 0.0417307 + 0.0240932i
\(369\) −11.4262 5.23092i −0.594825 0.272311i
\(370\) 10.7512 3.91313i 0.558930 0.203434i
\(371\) 7.91007 44.8602i 0.410670 2.32903i
\(372\) −7.40474 + 8.13794i −0.383918 + 0.421932i
\(373\) 5.40723i 0.279976i 0.990153 + 0.139988i \(0.0447064\pi\)
−0.990153 + 0.139988i \(0.955294\pi\)
\(374\) 0.384343 0.139889i 0.0198739 0.00723351i
\(375\) −0.836333 + 20.8305i −0.0431881 + 1.07568i
\(376\) 2.86314 + 7.86640i 0.147655 + 0.405679i
\(377\) 20.4949 3.61381i 1.05554 0.186121i
\(378\) −21.9523 11.1358i −1.12910 0.572764i
\(379\) 23.3306i 1.19841i 0.800595 + 0.599206i \(0.204517\pi\)
−0.800595 + 0.599206i \(0.795483\pi\)
\(380\) −4.20736 + 5.91975i −0.215833 + 0.303677i
\(381\) 16.1775 17.7794i 0.828800 0.910866i
\(382\) 7.03537 1.24053i 0.359961 0.0634709i
\(383\) −0.00554516 + 0.00465294i −0.000283344 + 0.000237754i −0.642929 0.765926i \(-0.722281\pi\)
0.642646 + 0.766163i \(0.277837\pi\)
\(384\) −1.60252 0.657214i −0.0817782 0.0335383i
\(385\) −0.165996 0.941409i −0.00845993 0.0479787i
\(386\) 9.72146 + 1.71416i 0.494810 + 0.0872483i
\(387\) 0.785660 0.558374i 0.0399374 0.0283838i
\(388\) 12.1946 7.04058i 0.619089 0.357431i
\(389\) 36.6850 + 6.46856i 1.86000 + 0.327969i 0.987123 0.159965i \(-0.0511380\pi\)
0.872881 + 0.487933i \(0.162249\pi\)
\(390\) 1.04922 + 7.75938i 0.0531296 + 0.392911i
\(391\) −1.56085 + 2.70347i −0.0789355 + 0.136720i
\(392\) 15.4410 0.779890
\(393\) −7.81247 + 19.0496i −0.394087 + 0.960923i
\(394\) 8.53789 1.50546i 0.430133 0.0758440i
\(395\) −0.224971 0.188773i −0.0113195 0.00949819i
\(396\) −0.0964971 0.350291i −0.00484916 0.0176028i
\(397\) −33.7228 12.2741i −1.69250 0.616019i −0.697561 0.716525i \(-0.745732\pi\)
−0.994936 + 0.100506i \(0.967954\pi\)
\(398\) 3.86396 6.69257i 0.193683 0.335468i
\(399\) 4.79312 35.4424i 0.239956 1.77434i
\(400\) −1.11197 1.92598i −0.0555983 0.0962991i
\(401\) 2.72158 + 15.4348i 0.135909 + 0.770779i 0.974222 + 0.225590i \(0.0724311\pi\)
−0.838313 + 0.545189i \(0.816458\pi\)
\(402\) −14.7158 9.30264i −0.733957 0.463973i
\(403\) −16.1959 + 5.89482i −0.806774 + 0.293642i
\(404\) 4.64850 + 5.53986i 0.231271 + 0.275618i
\(405\) 7.67903 + 12.8800i 0.381574 + 0.640011i
\(406\) −18.1677 + 31.4674i −0.901649 + 1.56170i
\(407\) −0.831664 −0.0412240
\(408\) 2.21947 5.41185i 0.109880 0.267927i
\(409\) −18.2083 + 21.6997i −0.900340 + 1.07298i 0.0966395 + 0.995319i \(0.469191\pi\)
−0.996980 + 0.0776640i \(0.975254\pi\)
\(410\) −6.04427 3.48966i −0.298505 0.172342i
\(411\) −16.9506 3.69557i −0.836113 0.182289i
\(412\) 0.865236 1.03115i 0.0426271 0.0508010i
\(413\) −1.49534 + 1.25474i −0.0735807 + 0.0617415i
\(414\) 2.28271 + 1.57464i 0.112189 + 0.0773891i
\(415\) −4.85135 27.5134i −0.238143 1.35058i
\(416\) −1.74403 2.07845i −0.0855080 0.101904i
\(417\) −0.950648 + 4.36037i −0.0465534 + 0.213528i
\(418\) 0.434563 0.299756i 0.0212552 0.0146615i
\(419\) 2.18569 1.26191i 0.106778 0.0616483i −0.445660 0.895202i \(-0.647031\pi\)
0.552438 + 0.833554i \(0.313698\pi\)
\(420\) −11.5556 7.30491i −0.563855 0.356443i
\(421\) 3.25949 8.95537i 0.158858 0.436458i −0.834572 0.550898i \(-0.814285\pi\)
0.993430 + 0.114440i \(0.0365075\pi\)
\(422\) 4.80970 5.73198i 0.234133 0.279028i
\(423\) 6.66982 + 24.2119i 0.324298 + 1.17722i
\(424\) 1.66978 9.46978i 0.0810916 0.459893i
\(425\) 6.50421 3.75521i 0.315501 0.182154i
\(426\) −6.47375 5.89049i −0.313654 0.285395i
\(427\) −37.3021 31.3002i −1.80518 1.51472i
\(428\) −8.82557 7.40553i −0.426600 0.357960i
\(429\) 0.121241 0.556100i 0.00585357 0.0268488i
\(430\) 0.463599 0.267659i 0.0223567 0.0129077i
\(431\) −4.60818 + 26.1343i −0.221968 + 1.25884i 0.646429 + 0.762974i \(0.276262\pi\)
−0.868397 + 0.495869i \(0.834849\pi\)
\(432\) −4.63402 2.35072i −0.222954 0.113099i
\(433\) −0.845064 + 1.00711i −0.0406112 + 0.0483985i −0.785968 0.618268i \(-0.787835\pi\)
0.745357 + 0.666666i \(0.232279\pi\)
\(434\) 10.2921 28.2774i 0.494039 1.35736i
\(435\) 19.5983 10.2897i 0.939665 0.493353i
\(436\) 0.807594 0.466265i 0.0386767 0.0223300i
\(437\) −1.07017 + 3.88454i −0.0511933 + 0.185823i
\(438\) 5.58182 1.78148i 0.266710 0.0851222i
\(439\) −17.6414 21.0242i −0.841976 1.00343i −0.999872 0.0159727i \(-0.994916\pi\)
0.157896 0.987456i \(-0.449529\pi\)
\(440\) −0.0350410 0.198727i −0.00167051 0.00947394i
\(441\) 46.1740 + 3.71371i 2.19876 + 0.176843i
\(442\) 7.01911 5.88973i 0.333865 0.280146i
\(443\) 17.1329 20.4182i 0.814008 0.970097i −0.185914 0.982566i \(-0.559525\pi\)
0.999922 + 0.0124686i \(0.00396897\pi\)
\(444\) −8.00449 + 8.79708i −0.379876 + 0.417491i
\(445\) −24.4812 14.1342i −1.16052 0.670026i
\(446\) 2.87027 3.42065i 0.135911 0.161972i
\(447\) 25.6407 3.46714i 1.21276 0.163990i
\(448\) 4.73720 0.223811
\(449\) −8.21814 + 14.2342i −0.387838 + 0.671755i −0.992158 0.124986i \(-0.960111\pi\)
0.604320 + 0.796741i \(0.293445\pi\)
\(450\) −2.86194 6.02679i −0.134913 0.284105i
\(451\) 0.326104 + 0.388636i 0.0153557 + 0.0183002i
\(452\) −0.00992532 + 0.00361252i −0.000466848 + 0.000169919i
\(453\) −22.1835 + 11.6470i −1.04227 + 0.547224i
\(454\) −3.35768 19.0423i −0.157584 0.893701i
\(455\) −10.7076 18.5461i −0.501980 0.869455i
\(456\) 1.01181 7.48173i 0.0473822 0.350364i
\(457\) −19.8863 + 34.4441i −0.930242 + 1.61123i −0.147337 + 0.989086i \(0.547070\pi\)
−0.782906 + 0.622141i \(0.786263\pi\)
\(458\) 13.2676 + 4.82900i 0.619953 + 0.225644i
\(459\) 7.93858 15.6495i 0.370541 0.730456i
\(460\) 1.17982 + 0.989990i 0.0550096 + 0.0461585i
\(461\) 11.4381 2.01685i 0.532726 0.0939340i 0.0991871 0.995069i \(-0.468376\pi\)
0.433539 + 0.901135i \(0.357265\pi\)
\(462\) 0.607710 + 0.786261i 0.0282732 + 0.0365802i
\(463\) 10.6843 0.496543 0.248272 0.968690i \(-0.420137\pi\)
0.248272 + 0.968690i \(0.420137\pi\)
\(464\) −3.83512 + 6.64262i −0.178041 + 0.308376i
\(465\) −14.5045 + 11.2107i −0.672630 + 0.519883i
\(466\) −9.43386 1.66344i −0.437015 0.0770575i
\(467\) 3.72649 2.15149i 0.172442 0.0995592i −0.411295 0.911502i \(-0.634923\pi\)
0.583737 + 0.811943i \(0.301590\pi\)
\(468\) −4.71535 6.63474i −0.217967 0.306691i
\(469\) 46.8922 + 8.26836i 2.16528 + 0.381797i
\(470\) 2.42201 + 13.7359i 0.111719 + 0.633590i
\(471\) 29.0676 22.4667i 1.33937 1.03521i
\(472\) −0.315659 + 0.264869i −0.0145294 + 0.0121916i
\(473\) −0.0383212 + 0.00675706i −0.00176201 + 0.000310690i
\(474\) 0.298287 + 0.0650324i 0.0137008 + 0.00298704i
\(475\) 6.90262 6.80628i 0.316714 0.312294i
\(476\) 15.9979i 0.733264i
\(477\) 7.27078 27.9163i 0.332906 1.27820i
\(478\) 14.8339 2.61563i 0.678489 0.119636i
\(479\) −9.77813 26.8652i −0.446774 1.22750i −0.934957 0.354761i \(-0.884562\pi\)
0.488183 0.872741i \(-0.337660\pi\)
\(480\) −2.43933 1.54203i −0.111340 0.0703838i
\(481\) −17.5077 + 6.37228i −0.798282 + 0.290551i
\(482\) 19.4056i 0.883900i
\(483\) −7.41049 1.61563i −0.337189 0.0735139i
\(484\) 1.90758 10.8184i 0.0867083 0.491747i
\(485\) 22.0465 8.02426i 1.00108 0.364363i
\(486\) −13.2919 8.14397i −0.602935 0.369418i
\(487\) −8.55601 4.93982i −0.387710 0.223844i 0.293457 0.955972i \(-0.405194\pi\)
−0.681167 + 0.732128i \(0.738527\pi\)
\(488\) −7.87431 6.60733i −0.356453 0.299100i
\(489\) −25.2639 1.01433i −1.14247 0.0458696i
\(490\) 25.3363 + 4.46747i 1.14458 + 0.201820i
\(491\) −19.3528 23.0638i −0.873380 1.04085i −0.998811 0.0487519i \(-0.984476\pi\)
0.125430 0.992102i \(-0.459969\pi\)
\(492\) 7.24952 + 0.291064i 0.326834 + 0.0131222i
\(493\) −22.4327 12.9515i −1.01032 0.583308i
\(494\) 6.85141 9.63994i 0.308259 0.433721i
\(495\) −0.0569888 0.602690i −0.00256146 0.0270889i
\(496\) 2.17262 5.96923i 0.0975537 0.268027i
\(497\) 22.4948 + 8.18743i 1.00903 + 0.367256i
\(498\) 17.7608 + 22.9791i 0.795879 + 1.02972i
\(499\) 19.8793 + 7.23546i 0.889918 + 0.323904i 0.746206 0.665716i \(-0.231874\pi\)
0.143713 + 0.989619i \(0.454096\pi\)
\(500\) −4.11662 11.3103i −0.184101 0.505812i
\(501\) −14.5600 13.2482i −0.650495 0.591887i
\(502\) 21.2126i 0.946765i
\(503\) 14.1728 + 38.9395i 0.631934 + 1.73623i 0.675693 + 0.737183i \(0.263844\pi\)
−0.0437589 + 0.999042i \(0.513933\pi\)
\(504\) 14.1658 + 1.13934i 0.630997 + 0.0507502i
\(505\) 6.02462 + 10.4350i 0.268092 + 0.464349i
\(506\) −0.0559769 0.0969549i −0.00248848 0.00431017i
\(507\) 1.30865 + 9.67794i 0.0581193 + 0.429812i
\(508\) −4.74665 + 13.0413i −0.210599 + 0.578615i
\(509\) 2.36187 13.3948i 0.104688 0.593716i −0.886656 0.462429i \(-0.846978\pi\)
0.991344 0.131287i \(-0.0419109\pi\)
\(510\) 5.20758 8.23784i 0.230595 0.364778i
\(511\) −12.2759 + 10.3007i −0.543055 + 0.455677i
\(512\) 1.00000 0.0441942
\(513\) 4.82507 22.1296i 0.213032 0.977045i
\(514\) −10.1413 −0.447312
\(515\) 1.71805 1.44162i 0.0757064 0.0635252i
\(516\) −0.297355 + 0.470384i −0.0130903 + 0.0207075i
\(517\) 0.176056 0.998464i 0.00774294 0.0439124i
\(518\) 11.1258 30.5678i 0.488838 1.34307i
\(519\) −5.04498 37.3093i −0.221450 1.63770i
\(520\) −2.26032 3.91500i −0.0991218 0.171684i
\(521\) −6.43606 11.1476i −0.281969 0.488385i 0.689901 0.723904i \(-0.257654\pi\)
−0.971870 + 0.235519i \(0.924321\pi\)
\(522\) −13.0659 + 18.9413i −0.571881 + 0.829040i
\(523\) −2.91285 8.00298i −0.127370 0.349946i 0.859574 0.511012i \(-0.170729\pi\)
−0.986944 + 0.161066i \(0.948507\pi\)
\(524\) 11.8873i 0.519297i
\(525\) 13.4966 + 12.2806i 0.589040 + 0.535969i
\(526\) 1.26310 + 3.47034i 0.0550738 + 0.151314i
\(527\) 20.1586 + 7.33714i 0.878124 + 0.319611i
\(528\) 0.128285 + 0.165976i 0.00558288 + 0.00722318i
\(529\) −20.8100 7.57422i −0.904782 0.329314i
\(530\) 5.47968 15.0553i 0.238022 0.653960i
\(531\) −1.00763 + 0.716131i −0.0437275 + 0.0310774i
\(532\) 5.20406 + 19.9824i 0.225624 + 0.866348i
\(533\) 9.84271 + 5.68269i 0.426335 + 0.246145i
\(534\) 29.3628 + 1.17890i 1.27065 + 0.0510161i
\(535\) −12.3388 14.7048i −0.533451 0.635742i
\(536\) 9.89872 + 1.74541i 0.427560 + 0.0753903i
\(537\) 10.6449 + 0.427385i 0.459359 + 0.0184430i
\(538\) −9.49778 7.96958i −0.409478 0.343593i
\(539\) −1.61956 0.935054i −0.0697595 0.0402756i
\(540\) −6.92357 5.19789i −0.297943 0.223681i
\(541\) −14.6165 + 5.31997i −0.628412 + 0.228723i −0.636540 0.771244i \(-0.719635\pi\)
0.00812778 + 0.999967i \(0.497413\pi\)
\(542\) −2.49920 + 14.1737i −0.107350 + 0.608812i
\(543\) 41.4939 + 9.04650i 1.78067 + 0.388223i
\(544\) 3.37709i 0.144791i
\(545\) 1.46004 0.531409i 0.0625410 0.0227631i
\(546\) 18.8175 + 11.8956i 0.805317 + 0.509084i
\(547\) 2.51073 + 6.89817i 0.107351 + 0.294944i 0.981724 0.190310i \(-0.0609493\pi\)
−0.874373 + 0.485254i \(0.838727\pi\)
\(548\) 9.86416 1.73932i 0.421376 0.0743000i
\(549\) −21.9578 21.6520i −0.937135 0.924086i
\(550\) 0.269347i 0.0114850i
\(551\) −32.2330 8.88003i −1.37317 0.378302i
\(552\) −1.56432 0.341053i −0.0665818 0.0145162i
\(553\) −0.822299 + 0.144994i −0.0349677 + 0.00616575i
\(554\) −12.3776 + 10.3861i −0.525874 + 0.441261i
\(555\) −15.6793 + 12.1187i −0.665550 + 0.514411i
\(556\) −0.447422 2.53746i −0.0189749 0.107612i
\(557\) −35.9125 6.33234i −1.52166 0.268310i −0.650575 0.759442i \(-0.725472\pi\)
−0.871085 + 0.491132i \(0.836583\pi\)
\(558\) 7.93255 17.3275i 0.335811 0.733533i
\(559\) −0.754941 + 0.435866i −0.0319306 + 0.0184352i
\(560\) 7.77299 + 1.37059i 0.328469 + 0.0579179i
\(561\) −0.560516 + 0.433229i −0.0236650 + 0.0182909i
\(562\) −12.6847 + 21.9706i −0.535072 + 0.926772i
\(563\) 2.43844 0.102768 0.0513841 0.998679i \(-0.483637\pi\)
0.0513841 + 0.998679i \(0.483637\pi\)
\(564\) −8.86696 11.4722i −0.373367 0.483065i
\(565\) −0.0173311 + 0.00305593i −0.000729123 + 0.000128564i
\(566\) −22.7472 19.0872i −0.956138 0.802295i
\(567\) 42.0867 + 6.81403i 1.76748 + 0.286162i
\(568\) 4.74854 + 1.72833i 0.199244 + 0.0725190i
\(569\) 3.93448 6.81471i 0.164942 0.285688i −0.771693 0.635995i \(-0.780590\pi\)
0.936635 + 0.350308i \(0.113923\pi\)
\(570\) 3.82486 11.9836i 0.160206 0.501937i
\(571\) 6.81260 + 11.7998i 0.285098 + 0.493805i 0.972633 0.232347i \(-0.0746404\pi\)
−0.687535 + 0.726152i \(0.741307\pi\)
\(572\) 0.0570619 + 0.323614i 0.00238588 + 0.0135310i
\(573\) −10.9554 + 5.75193i −0.457670 + 0.240291i
\(574\) −18.6469 + 6.78690i −0.778305 + 0.283280i
\(575\) −1.32141 1.57479i −0.0551066 0.0656735i
\(576\) 2.99034 + 0.240509i 0.124598 + 0.0100212i
\(577\) −23.3904 + 40.5134i −0.973757 + 1.68660i −0.289779 + 0.957093i \(0.593582\pi\)
−0.683978 + 0.729503i \(0.739751\pi\)
\(578\) 5.59527 0.232733
\(579\) −16.9436 + 2.29112i −0.704153 + 0.0952157i
\(580\) −8.21470 + 9.78989i −0.341097 + 0.406503i
\(581\) −68.7906 39.7163i −2.85392 1.64771i
\(582\) −16.4140 + 18.0393i −0.680383 + 0.747753i
\(583\) −0.748594 + 0.892140i −0.0310036 + 0.0369487i
\(584\) −2.59139 + 2.17443i −0.107232 + 0.0899787i
\(585\) −5.81755 12.2508i −0.240526 0.506509i
\(586\) 3.81435 + 21.6323i 0.157569 + 0.893621i
\(587\) −2.60137 3.10020i −0.107370 0.127959i 0.709683 0.704521i \(-0.248838\pi\)
−0.817053 + 0.576562i \(0.804394\pi\)
\(588\) −25.4785 + 8.13163i −1.05071 + 0.335343i
\(589\) 27.5661 + 2.60704i 1.13584 + 0.107421i
\(590\) −0.594579 + 0.343280i −0.0244784 + 0.0141326i
\(591\) −13.2951 + 6.98035i −0.546889 + 0.287133i
\(592\) 2.34860 6.45272i 0.0965268 0.265205i
\(593\) −5.08913 + 6.06499i −0.208986 + 0.249059i −0.860348 0.509708i \(-0.829754\pi\)
0.651362 + 0.758767i \(0.274198\pi\)
\(594\) 0.343697 + 0.527179i 0.0141021 + 0.0216304i
\(595\) −4.62859 + 26.2501i −0.189754 + 1.07615i
\(596\) −12.9370 + 7.46919i −0.529921 + 0.305950i
\(597\) −2.85125 + 13.0779i −0.116694 + 0.535244i
\(598\) −1.92127 1.61214i −0.0785665 0.0659251i
\(599\) −25.9061 21.7378i −1.05849 0.888181i −0.0645320 0.997916i \(-0.520555\pi\)
−0.993961 + 0.109735i \(0.965000\pi\)
\(600\) 2.84907 + 2.59238i 0.116313 + 0.105833i
\(601\) 29.2631 16.8951i 1.19367 0.689164i 0.234531 0.972109i \(-0.424644\pi\)
0.959136 + 0.282944i \(0.0913111\pi\)
\(602\) 0.264295 1.49889i 0.0107718 0.0610902i
\(603\) 29.1808 + 7.60011i 1.18833 + 0.309501i
\(604\) 9.29830 11.0813i 0.378342 0.450891i
\(605\) 6.26008 17.1994i 0.254508 0.699256i
\(606\) −10.5877 6.69304i −0.430095 0.271886i
\(607\) 5.55898 3.20948i 0.225632 0.130269i −0.382923 0.923780i \(-0.625083\pi\)
0.608555 + 0.793511i \(0.291749\pi\)
\(608\) 1.09855 + 4.21820i 0.0445522 + 0.171070i
\(609\) 13.4061 61.4904i 0.543244 2.49172i
\(610\) −11.0088 13.1198i −0.445734 0.531205i
\(611\) −3.94409 22.3680i −0.159561 0.904913i
\(612\) −0.812221 + 10.0987i −0.0328321 + 0.408214i
\(613\) −17.8260 + 14.9578i −0.719986 + 0.604140i −0.927382 0.374117i \(-0.877946\pi\)
0.207395 + 0.978257i \(0.433501\pi\)
\(614\) −11.5521 + 13.7672i −0.466204 + 0.555601i
\(615\) 11.8111 + 2.57505i 0.476269 + 0.103836i
\(616\) −0.496870 0.286868i −0.0200195 0.0115582i
\(617\) 9.53612 11.3647i 0.383910 0.457526i −0.539134 0.842220i \(-0.681249\pi\)
0.923044 + 0.384694i \(0.125693\pi\)
\(618\) −0.884655 + 2.15710i −0.0355860 + 0.0867714i
\(619\) 29.4214 1.18255 0.591273 0.806472i \(-0.298626\pi\)
0.591273 + 0.806472i \(0.298626\pi\)
\(620\) 5.29198 9.16597i 0.212531 0.368114i
\(621\) −4.59582 1.39610i −0.184424 0.0560235i
\(622\) −7.74310 9.22787i −0.310470 0.370004i
\(623\) −75.5256 + 27.4891i −3.02587 + 1.10133i
\(624\) 3.97230 + 2.51110i 0.159019 + 0.100524i
\(625\) −1.55145 8.79873i −0.0620581 0.351949i
\(626\) 8.78948 + 15.2238i 0.351298 + 0.608467i
\(627\) −0.559192 + 0.723464i −0.0223320 + 0.0288924i
\(628\) −10.6053 + 18.3690i −0.423199 + 0.733003i
\(629\) 21.7914 + 7.93143i 0.868881 + 0.316247i
\(630\) 22.9143 + 5.96800i 0.912926 + 0.237771i
\(631\) −7.80744 6.55122i −0.310809 0.260800i 0.474017 0.880516i \(-0.342803\pi\)
−0.784826 + 0.619716i \(0.787248\pi\)
\(632\) −0.173584 + 0.0306075i −0.00690478 + 0.00121750i
\(633\) −4.91765 + 11.9910i −0.195459 + 0.476598i
\(634\) 8.90697 0.353741
\(635\) −11.5617 + 20.0254i −0.458811 + 0.794684i
\(636\) 2.23180 + 16.5050i 0.0884968 + 0.654464i
\(637\) −41.2585 7.27499i −1.63472 0.288246i
\(638\) 0.804508 0.464483i 0.0318508 0.0183890i
\(639\) 13.7841 + 6.31036i 0.545290 + 0.249634i
\(640\) 1.64084 + 0.289325i 0.0648599 + 0.0114366i
\(641\) −6.94433 39.3833i −0.274285 1.55555i −0.741225 0.671257i \(-0.765755\pi\)
0.466940 0.884289i \(-0.345356\pi\)
\(642\) 18.4626 + 7.57174i 0.728660 + 0.298833i
\(643\) 7.67586 6.44081i 0.302706 0.254001i −0.478763 0.877944i \(-0.658915\pi\)
0.781470 + 0.623943i \(0.214470\pi\)
\(644\) 4.31242 0.760396i 0.169933 0.0299638i
\(645\) −0.624006 + 0.685794i −0.0245702 + 0.0270031i
\(646\) −14.2452 + 3.70991i −0.560471 + 0.145964i
\(647\) 6.39930i 0.251582i −0.992057 0.125791i \(-0.959853\pi\)
0.992057 0.125791i \(-0.0401470\pi\)
\(648\) 8.88431 + 1.43841i 0.349009 + 0.0565061i
\(649\) 0.0491480 0.00866612i 0.00192923 0.000340175i
\(650\) 2.06376 + 5.67013i 0.0809473 + 0.222401i
\(651\) −2.09096 + 52.0793i −0.0819510 + 2.04115i
\(652\) 13.7175 4.99276i 0.537218 0.195531i
\(653\) 25.2882i 0.989603i −0.869006 0.494802i \(-0.835241\pi\)
0.869006 0.494802i \(-0.164759\pi\)
\(654\) −1.08702 + 1.19466i −0.0425060 + 0.0467149i
\(655\) 3.43927 19.5051i 0.134384 0.762127i
\(656\) −3.93626 + 1.43268i −0.153685 + 0.0559369i
\(657\) −8.27211 + 5.87905i −0.322726 + 0.229364i
\(658\) 34.3433 + 19.8281i 1.33884 + 0.772981i
\(659\) 27.2183 + 22.8389i 1.06027 + 0.889676i 0.994136 0.108135i \(-0.0344878\pi\)
0.0661379 + 0.997810i \(0.478932\pi\)
\(660\) 0.162474 + 0.309456i 0.00632429 + 0.0120456i
\(661\) 46.6417 + 8.22419i 1.81415 + 0.319884i 0.974694 0.223542i \(-0.0717621\pi\)
0.839457 + 0.543426i \(0.182873\pi\)
\(662\) 6.34336 + 7.55972i 0.246542 + 0.293817i
\(663\) −8.48021 + 13.4148i −0.329344 + 0.520988i
\(664\) −14.5214 8.38392i −0.563539 0.325359i
\(665\) 2.75762 + 34.2936i 0.106936 + 1.32985i
\(666\) 8.57506 18.7310i 0.332277 0.725811i
\(667\) −2.42499 + 6.66259i −0.0938958 + 0.257977i
\(668\) 10.6799 + 3.88716i 0.413218 + 0.150399i
\(669\) −2.93468 + 7.15580i −0.113461 + 0.276659i
\(670\) 15.7372 + 5.72789i 0.607983 + 0.221288i
\(671\) 0.425795 + 1.16986i 0.0164376 + 0.0451620i
\(672\) −7.81661 + 2.49473i −0.301532 + 0.0962361i
\(673\) 19.3151i 0.744541i 0.928124 + 0.372271i \(0.121421\pi\)
−0.928124 + 0.372271i \(0.878579\pi\)
\(674\) 3.94156 + 10.8293i 0.151823 + 0.417130i
\(675\) 7.89621 + 8.43733i 0.303925 + 0.324753i
\(676\) −2.81921 4.88301i −0.108431 0.187808i
\(677\) 15.9793 + 27.6770i 0.614135 + 1.06371i 0.990536 + 0.137256i \(0.0438283\pi\)
−0.376401 + 0.926457i \(0.622838\pi\)
\(678\) 0.0144748 0.0111878i 0.000555903 0.000429663i
\(679\) 22.8145 62.6824i 0.875541 2.40553i
\(680\) −0.977075 + 5.54127i −0.0374691 + 0.212498i
\(681\) 15.5685 + 29.6526i 0.596586 + 1.13629i
\(682\) −0.589356 + 0.494528i −0.0225676 + 0.0189365i
\(683\) 46.1202 1.76474 0.882370 0.470557i \(-0.155947\pi\)
0.882370 + 0.470557i \(0.155947\pi\)
\(684\) 2.27053 + 12.8781i 0.0868160 + 0.492405i
\(685\) 16.6888 0.637644
\(686\) 30.6317 25.7030i 1.16952 0.981346i
\(687\) −24.4352 0.981062i −0.932263 0.0374298i
\(688\) 0.0557914 0.316409i 0.00212703 0.0120630i
\(689\) −8.92331 + 24.5166i −0.339951 + 0.934008i
\(690\) −2.46812 1.01221i −0.0939599 0.0385341i
\(691\) −7.27929 12.6081i −0.276917 0.479635i 0.693700 0.720264i \(-0.255979\pi\)
−0.970617 + 0.240629i \(0.922646\pi\)
\(692\) 10.8683 + 18.8244i 0.413150 + 0.715598i
\(693\) −1.41682 0.977335i −0.0538204 0.0371259i
\(694\) 3.67371 + 10.0934i 0.139452 + 0.383142i
\(695\) 4.29301i 0.162843i
\(696\) 2.82997 12.9803i 0.107270 0.492018i
\(697\) −4.83830 13.2931i −0.183264 0.503513i
\(698\) −3.48998 1.27025i −0.132098 0.0480797i
\(699\) 16.4424 2.22334i 0.621907 0.0840944i
\(700\) −9.89985 3.60325i −0.374179 0.136190i
\(701\) −1.84822 + 5.07793i −0.0698062 + 0.191791i −0.969690 0.244339i \(-0.921429\pi\)
0.899884 + 0.436130i \(0.143651\pi\)
\(702\) 11.2746 + 8.46443i 0.425532 + 0.319469i
\(703\) 29.7989 + 2.81820i 1.12389 + 0.106290i
\(704\) −0.104887 0.0605565i −0.00395307 0.00228231i
\(705\) −11.2301 21.3894i −0.422950 0.805572i
\(706\) 11.1065 + 13.2362i 0.417999 + 0.498152i
\(707\) 33.7379 + 5.94890i 1.26884 + 0.223731i
\(708\) 0.381366 0.603281i 0.0143326 0.0226727i
\(709\) −10.9802 9.21351i −0.412371 0.346021i 0.412881 0.910785i \(-0.364523\pi\)
−0.825252 + 0.564764i \(0.808967\pi\)
\(710\) 7.29156 + 4.20978i 0.273647 + 0.157990i
\(711\) −0.526436 + 0.0497784i −0.0197429 + 0.00186684i
\(712\) −15.9431 + 5.80281i −0.597493 + 0.217470i
\(713\) 1.01965 5.78273i 0.0381862 0.216565i
\(714\) −8.42491 26.3974i −0.315294 0.987898i
\(715\) 0.547509i 0.0204757i
\(716\) −5.77982 + 2.10368i −0.216002 + 0.0786184i
\(717\) −23.0993 + 12.1278i −0.862660 + 0.452923i
\(718\) 2.90693 + 7.98672i 0.108486 + 0.298062i
\(719\) −6.22462 + 1.09757i −0.232139 + 0.0409324i −0.288507 0.957478i \(-0.593159\pi\)
0.0563684 + 0.998410i \(0.482048\pi\)
\(720\) 4.83709 + 1.25982i 0.180268 + 0.0469506i
\(721\) 6.37659i 0.237477i
\(722\) −16.5864 + 9.26782i −0.617281 + 0.344912i
\(723\) 10.2195 + 32.0202i 0.380066 + 1.19084i
\(724\) −24.1468 + 4.25773i −0.897408 + 0.158237i
\(725\) 13.0673 10.9647i 0.485306 0.407220i
\(726\) 2.54965 + 18.8556i 0.0946265 + 0.699795i
\(727\) −7.87759 44.6761i −0.292164 1.65694i −0.678511 0.734590i \(-0.737375\pi\)
0.386348 0.922353i \(-0.373737\pi\)
\(728\) −12.6578 2.23191i −0.469130 0.0827202i
\(729\) 26.2212 + 6.43810i 0.971155 + 0.238448i
\(730\) −4.88117 + 2.81815i −0.180660 + 0.104304i
\(731\) 1.06854 + 0.188412i 0.0395214 + 0.00696869i
\(732\) 16.4726 + 6.75562i 0.608844 + 0.249695i
\(733\) −8.81395 + 15.2662i −0.325551 + 0.563870i −0.981624 0.190827i \(-0.938883\pi\)
0.656073 + 0.754697i \(0.272216\pi\)
\(734\) 14.9973 0.553560
\(735\) −44.1588 + 5.97116i −1.62882 + 0.220250i
\(736\) 0.910332 0.160516i 0.0335553 0.00591670i
\(737\) −0.932550 0.782503i −0.0343509 0.0288239i
\(738\) −12.1154 + 3.33751i −0.445972 + 0.122855i
\(739\) −3.19640 1.16339i −0.117581 0.0427961i 0.282559 0.959250i \(-0.408817\pi\)
−0.400141 + 0.916454i \(0.631039\pi\)
\(740\) 5.72061 9.90838i 0.210294 0.364239i
\(741\) −6.22854 + 19.5145i −0.228811 + 0.716883i
\(742\) −22.7761 39.4494i −0.836138 1.44823i
\(743\) 5.44757 + 30.8947i 0.199852 + 1.13342i 0.905338 + 0.424692i \(0.139618\pi\)
−0.705486 + 0.708724i \(0.749271\pi\)
\(744\) −0.441391 + 10.9937i −0.0161822 + 0.403048i
\(745\) −23.3886 + 8.51276i −0.856892 + 0.311883i
\(746\) 3.47570 + 4.14218i 0.127254 + 0.151656i
\(747\) −41.4075 28.5633i −1.51502 1.04508i
\(748\) 0.204505 0.354212i 0.00747743 0.0129513i
\(749\) −54.5771 −1.99420
\(750\) 12.7489 + 16.4947i 0.465525 + 0.602300i
\(751\) −25.9132 + 30.8821i −0.945586 + 1.12690i 0.0461922 + 0.998933i \(0.485291\pi\)
−0.991778 + 0.127972i \(0.959153\pi\)
\(752\) 7.24972 + 4.18563i 0.264370 + 0.152634i
\(753\) −11.1711 35.0019i −0.407097 1.27554i
\(754\) 13.3771 15.9422i 0.487166 0.580581i
\(755\) 18.4631 15.4924i 0.671941 0.563826i
\(756\) −23.9744 + 5.58012i −0.871939 + 0.202947i
\(757\) 1.45045 + 8.22591i 0.0527175 + 0.298976i 0.999755 0.0221481i \(-0.00705054\pi\)
−0.947037 + 0.321124i \(0.895939\pi\)
\(758\) 14.9966 + 17.8723i 0.544702 + 0.649150i
\(759\) 0.143424 + 0.130502i 0.00520595 + 0.00473691i
\(760\) 0.582121 + 7.23923i 0.0211158 + 0.262594i
\(761\) 9.03885 5.21858i 0.327658 0.189173i −0.327143 0.944975i \(-0.606086\pi\)
0.654801 + 0.755801i \(0.272752\pi\)
\(762\) 0.964331 24.0185i 0.0349340 0.870100i
\(763\) 1.51090 4.15116i 0.0546982 0.150282i
\(764\) 4.59201 5.47255i 0.166133 0.197990i
\(765\) −4.25451 + 16.3353i −0.153822 + 0.590604i
\(766\) −0.00125698 + 0.00712871i −4.54167e−5 + 0.000257571i
\(767\) 0.968233 0.559010i 0.0349609 0.0201847i
\(768\) −1.65005 + 0.526625i −0.0595411 + 0.0190029i
\(769\) −29.2176 24.5165i −1.05361 0.884087i −0.0601448 0.998190i \(-0.519156\pi\)
−0.993469 + 0.114103i \(0.963601\pi\)
\(770\) −0.732287 0.614461i −0.0263898 0.0221436i
\(771\) 16.7336 5.34064i 0.602646 0.192339i
\(772\) 8.54891 4.93572i 0.307682 0.177640i
\(773\) 7.46918 42.3598i 0.268648 1.52358i −0.489796 0.871837i \(-0.662929\pi\)
0.758443 0.651739i \(-0.225960\pi\)
\(774\) 0.242935 0.932752i 0.00873210 0.0335271i
\(775\) −9.08075 + 10.8220i −0.326190 + 0.388738i
\(776\) 4.81604 13.2320i 0.172886 0.475000i
\(777\) −2.26032 + 56.2975i −0.0810884 + 2.01966i
\(778\) 32.2603 18.6255i 1.15659 0.667755i
\(779\) −10.3675 15.0301i −0.371455 0.538508i
\(780\) 5.79138 + 5.26960i 0.207365 + 0.188682i
\(781\) −0.393398 0.468834i −0.0140769 0.0167762i
\(782\) 0.542077 + 3.07427i 0.0193846 + 0.109936i
\(783\) 11.5845 38.1350i 0.413995 1.36283i
\(784\) 11.8285 9.92530i 0.422447 0.354475i
\(785\) −22.7163 + 27.0722i −0.810779 + 0.966249i
\(786\) 6.26012 + 19.6146i 0.223291 + 0.699628i
\(787\) −0.985906 0.569213i −0.0351437 0.0202903i 0.482325 0.875992i \(-0.339792\pi\)
−0.517469 + 0.855702i \(0.673126\pi\)
\(788\) 5.57271 6.64130i 0.198520 0.236587i
\(789\) −3.91175 5.06106i −0.139262 0.180178i
\(790\) −0.293678 −0.0104486
\(791\) −0.0250179 + 0.0433322i −0.000889533 + 0.00154072i
\(792\) −0.299084 0.206311i −0.0106275 0.00733094i
\(793\) 17.9272 + 21.3648i 0.636612 + 0.758685i
\(794\) −33.7228 + 12.2741i −1.19678 + 0.435591i
\(795\) −1.11325 + 27.7277i −0.0394830 + 0.983401i
\(796\) −1.34194 7.61051i −0.0475637 0.269747i
\(797\) 21.1153 + 36.5728i 0.747944 + 1.29548i 0.948807 + 0.315857i \(0.102292\pi\)
−0.200863 + 0.979619i \(0.564375\pi\)
\(798\) −19.1102 30.2314i −0.676494 1.07018i
\(799\) −14.1352 + 24.4829i −0.500069 + 0.866144i
\(800\) −2.08981 0.760630i −0.0738860 0.0268923i
\(801\) −49.0710 + 13.5179i −1.73384 + 0.477633i
\(802\) 12.0062 + 10.0744i 0.423953 + 0.355739i
\(803\) 0.403479 0.0711442i 0.0142385 0.00251062i
\(804\) −17.2526 + 2.33290i −0.608451 + 0.0822749i
\(805\) 7.29600 0.257150
\(806\) −8.61764 + 14.9262i −0.303544 + 0.525753i
\(807\) 19.8688 + 8.14844i 0.699415 + 0.286839i
\(808\) 7.12191 + 1.25578i 0.250548 + 0.0441783i
\(809\) −25.0480 + 14.4615i −0.880641 + 0.508438i −0.870870 0.491514i \(-0.836444\pi\)
−0.00977142 + 0.999952i \(0.503110\pi\)
\(810\) 14.1616 + 4.93065i 0.497587 + 0.173245i
\(811\) 27.9738 + 4.93253i 0.982292 + 0.173205i 0.641657 0.766991i \(-0.278247\pi\)
0.340634 + 0.940196i \(0.389358\pi\)
\(812\) 6.30958 + 35.7834i 0.221423 + 1.25575i
\(813\) −3.34041 24.7034i −0.117153 0.866388i
\(814\) −0.637091 + 0.534583i −0.0223300 + 0.0187371i
\(815\) 23.9527 4.22352i 0.839028 0.147943i
\(816\) −1.77846 5.57237i −0.0622585 0.195072i
\(817\) 1.39596 0.112252i 0.0488386 0.00392721i
\(818\) 28.3270i 0.990431i
\(819\) −37.3144 9.71851i −1.30387 0.339592i
\(820\) −6.87329 + 1.21195i −0.240026 + 0.0423230i
\(821\) −3.79911 10.4380i −0.132590 0.364288i 0.855576 0.517677i \(-0.173203\pi\)
−0.988166 + 0.153390i \(0.950981\pi\)
\(822\) −15.3604 + 8.06468i −0.535755 + 0.281288i
\(823\) 28.9718 10.5449i 1.00989 0.367571i 0.216501 0.976282i \(-0.430536\pi\)
0.793391 + 0.608712i \(0.208313\pi\)
\(824\) 1.34607i 0.0468925i
\(825\) −0.141845 0.444436i −0.00493840 0.0154733i
\(826\) −0.338965 + 1.92237i −0.0117941 + 0.0668877i
\(827\) −25.9324 + 9.43863i −0.901759 + 0.328213i −0.750957 0.660351i \(-0.770408\pi\)
−0.150802 + 0.988564i \(0.548185\pi\)
\(828\) 2.76081 0.261055i 0.0959448 0.00907230i
\(829\) 8.33527 + 4.81237i 0.289496 + 0.167141i 0.637715 0.770273i \(-0.279880\pi\)
−0.348219 + 0.937413i \(0.613213\pi\)
\(830\) −21.4016 17.9581i −0.742860 0.623334i
\(831\) 14.9541 23.6559i 0.518753 0.820613i
\(832\) −2.67200 0.471147i −0.0926351 0.0163341i
\(833\) 33.5186 + 39.9459i 1.16135 + 1.38405i
\(834\) 2.07456 + 3.95131i 0.0718360 + 0.136823i
\(835\) 16.3994 + 9.46817i 0.567523 + 0.327660i
\(836\) 0.140215 0.508958i 0.00484945 0.0176027i
\(837\) −3.96399 + 32.7688i −0.137016 + 1.13265i
\(838\) 0.863196 2.37161i 0.0298186 0.0819260i
\(839\) 22.1314 + 8.05517i 0.764061 + 0.278095i 0.694510 0.719483i \(-0.255621\pi\)
0.0695508 + 0.997578i \(0.477843\pi\)
\(840\) −13.5476 + 1.83191i −0.467437 + 0.0632069i
\(841\) −28.0335 10.2033i −0.966671 0.351840i
\(842\) −3.25949 8.95537i −0.112329 0.308622i
\(843\) 9.36016 42.9326i 0.322381 1.47868i
\(844\) 7.48257i 0.257561i
\(845\) −3.21309 8.82791i −0.110534 0.303689i
\(846\) 20.6725 + 14.2601i 0.710734 + 0.490272i
\(847\) −26.0198 45.0677i −0.894052 1.54854i
\(848\) −4.80793 8.32759i −0.165105 0.285970i
\(849\) 47.5859 + 19.5156i 1.63314 + 0.669773i
\(850\) 2.56871 7.05748i 0.0881061 0.242070i
\(851\) 1.10224 6.25111i 0.0377843 0.214285i
\(852\) −8.74552 0.351128i −0.299616 0.0120294i
\(853\) 4.94331 4.14793i 0.169256 0.142022i −0.554225 0.832367i \(-0.686985\pi\)
0.723481 + 0.690344i \(0.242541\pi\)
\(854\) −48.6945 −1.66629
\(855\) −0.000357560 21.7878i −1.22283e−5 0.745127i
\(856\) −11.5210 −0.393778
\(857\) 2.07778 1.74346i 0.0709754 0.0595555i −0.606610 0.795000i \(-0.707471\pi\)
0.677585 + 0.735444i \(0.263026\pi\)
\(858\) −0.264578 0.503930i −0.00903256 0.0172039i
\(859\) 0.879921 4.99028i 0.0300225 0.170266i −0.966110 0.258131i \(-0.916893\pi\)
0.996132 + 0.0878651i \(0.0280044\pi\)
\(860\) 0.183090 0.503034i 0.00624330 0.0171533i
\(861\) 27.1941 21.0186i 0.926772 0.716313i
\(862\) 13.2687 + 22.9821i 0.451934 + 0.782773i
\(863\) 5.46752 + 9.47002i 0.186117 + 0.322363i 0.943952 0.330082i \(-0.107076\pi\)
−0.757836 + 0.652445i \(0.773743\pi\)
\(864\) −5.06088 + 1.17794i −0.172174 + 0.0400742i
\(865\) 12.3868 + 34.0324i 0.421163 + 1.15714i
\(866\) 1.31469i 0.0446749i
\(867\) −9.23248 + 2.94661i −0.313551 + 0.100072i
\(868\) −10.2921 28.2774i −0.349338 0.959799i
\(869\) 0.0200601 + 0.00730129i 0.000680493 + 0.000247679i
\(870\) 8.39906 20.4799i 0.284755 0.694333i
\(871\) −25.6271 9.32750i −0.868341 0.316050i
\(872\) 0.318944 0.876291i 0.0108008 0.0296750i
\(873\) 17.5840 38.4098i 0.595129 1.29997i
\(874\) 1.67714 + 3.66363i 0.0567300 + 0.123924i
\(875\) −49.3788 28.5089i −1.66931 0.963776i
\(876\) 3.13081 4.95261i 0.105780 0.167333i
\(877\) 22.7484 + 27.1105i 0.768160 + 0.915457i 0.998334 0.0576920i \(-0.0183741\pi\)
−0.230174 + 0.973149i \(0.573930\pi\)
\(878\) −27.0281 4.76579i −0.912156 0.160838i
\(879\) −17.6860 33.6856i −0.596533 1.13619i
\(880\) −0.154582 0.129710i −0.00521097 0.00437252i
\(881\) 24.4479 + 14.1150i 0.823672 + 0.475547i 0.851681 0.524061i \(-0.175583\pi\)
−0.0280092 + 0.999608i \(0.508917\pi\)
\(882\) 37.7585 26.8352i 1.27139 0.903588i
\(883\) −2.24232 + 0.816137i −0.0754600 + 0.0274652i −0.379474 0.925202i \(-0.623895\pi\)
0.304014 + 0.952667i \(0.401673\pi\)
\(884\) 1.59110 9.02360i 0.0535146 0.303496i
\(885\) 0.800305 0.879549i 0.0269020 0.0295657i
\(886\) 26.6541i 0.895460i
\(887\) 48.6814 17.7186i 1.63456 0.594932i 0.648486 0.761226i \(-0.275402\pi\)
0.986076 + 0.166294i \(0.0531802\pi\)
\(888\) −0.477142 + 11.8841i −0.0160118 + 0.398806i
\(889\) 22.4858 + 61.7793i 0.754150 + 2.07201i
\(890\) −27.8390 + 4.90876i −0.933165 + 0.164542i
\(891\) −0.844743 0.688873i −0.0282999 0.0230781i
\(892\) 4.46534i 0.149511i
\(893\) −9.69160 + 35.1789i −0.324317 + 1.17722i
\(894\) 17.4133 19.1375i 0.582387 0.640054i
\(895\) −10.0924 + 1.77957i −0.337352 + 0.0594843i
\(896\) 3.62890 3.04501i 0.121233 0.101727i
\(897\) 4.01918 + 1.64832i 0.134197 + 0.0550357i
\(898\) 2.85413 + 16.1866i 0.0952436 + 0.540153i
\(899\) 47.9836 + 8.46081i 1.60034 + 0.282184i
\(900\) −6.06632 2.77716i −0.202211 0.0925721i
\(901\) 28.1230 16.2368i 0.936913 0.540927i
\(902\) 0.499621 + 0.0880966i 0.0166356 + 0.00293330i
\(903\) 0.353253 + 2.61243i 0.0117555 + 0.0869362i
\(904\) −0.00528115 + 0.00914723i −0.000175649 + 0.000304232i
\(905\) −40.8529 −1.35800
\(906\) −9.50698 + 23.1814i −0.315848 + 0.770150i
\(907\) 32.3799 5.70946i 1.07516 0.189579i 0.392085 0.919929i \(-0.371754\pi\)
0.683073 + 0.730350i \(0.260643\pi\)
\(908\) −14.8123 12.4290i −0.491564 0.412471i
\(909\) 20.9949 + 5.46811i 0.696358 + 0.181366i
\(910\) −20.1237 7.32443i −0.667094 0.242803i
\(911\) −11.1446 + 19.3031i −0.369238 + 0.639539i −0.989447 0.144898i \(-0.953715\pi\)
0.620208 + 0.784437i \(0.287048\pi\)
\(912\) −4.03407 6.38171i −0.133582 0.211320i
\(913\) 1.01540 + 1.75873i 0.0336049 + 0.0582054i
\(914\) 6.90644 + 39.1684i 0.228445 + 1.29557i
\(915\) 25.0743 + 15.8508i 0.828932 + 0.524012i
\(916\) 13.2676 4.82900i 0.438373 0.159555i
\(917\) −36.1968 43.1377i −1.19532 1.42453i
\(918\) −3.97800 17.0910i −0.131294 0.564088i
\(919\) 16.7797 29.0632i 0.553510 0.958707i −0.444508 0.895775i \(-0.646621\pi\)
0.998018 0.0629323i \(-0.0200452\pi\)
\(920\) 1.54015 0.0507773
\(921\) 11.8114 28.8003i 0.389197 0.949001i
\(922\) 7.46570 8.89727i 0.245870 0.293016i
\(923\) −11.8738 6.85536i −0.390832 0.225647i
\(924\) 0.970932 + 0.211683i 0.0319413 + 0.00696384i
\(925\) −9.81626 + 11.6986i −0.322757 + 0.384646i
\(926\) 8.18467 6.86776i 0.268965 0.225688i
\(927\) 0.323742 4.02521i 0.0106331 0.132205i
\(928\) 1.33192 + 7.55371i 0.0437225 + 0.247963i
\(929\) 22.3579 + 26.6451i 0.733539 + 0.874198i 0.995871 0.0907800i \(-0.0289360\pi\)
−0.262332 + 0.964978i \(0.584492\pi\)
\(930\) −3.90500 + 17.9112i −0.128050 + 0.587331i
\(931\) 54.8611 + 38.9915i 1.79800 + 1.27790i
\(932\) −8.29600 + 4.78970i −0.271744 + 0.156892i
\(933\) 17.6361 + 11.1487i 0.577381 + 0.364993i
\(934\) 1.47171 4.04348i 0.0481557 0.132307i
\(935\) 0.438042 0.522038i 0.0143255 0.0170725i
\(936\) −7.87690 2.05153i −0.257464 0.0670564i
\(937\) 6.19937 35.1584i 0.202525 1.14857i −0.698763 0.715353i \(-0.746266\pi\)
0.901288 0.433221i \(-0.142623\pi\)
\(938\) 41.2363 23.8078i 1.34641 0.777352i
\(939\) −22.5203 20.4913i −0.734923 0.668709i
\(940\) 10.6846 + 8.96547i 0.348494 + 0.292421i
\(941\) −8.17692 6.86125i −0.266560 0.223670i 0.499704 0.866196i \(-0.333442\pi\)
−0.766264 + 0.642526i \(0.777887\pi\)
\(942\) 7.82578 35.8948i 0.254978 1.16952i
\(943\) −3.35334 + 1.93605i −0.109200 + 0.0630465i
\(944\) −0.0715540 + 0.405803i −0.00232888 + 0.0132078i
\(945\) −40.9526 + 2.21972i −1.33219 + 0.0722075i
\(946\) −0.0250124 + 0.0298086i −0.000813223 + 0.000969161i
\(947\) −14.4339 + 39.6568i −0.469038 + 1.28867i 0.449479 + 0.893291i \(0.351610\pi\)
−0.918517 + 0.395381i \(0.870613\pi\)
\(948\) 0.270303 0.141917i 0.00877903 0.00460926i
\(949\) 7.94868 4.58917i 0.258025 0.148971i
\(950\) 0.912717 9.65083i 0.0296125 0.313114i
\(951\) −14.6970 + 4.69063i −0.476581 + 0.152104i
\(952\) 10.2833 + 12.2551i 0.333283 + 0.397191i
\(953\) −0.754282 4.27775i −0.0244336 0.138570i 0.970151 0.242503i \(-0.0779684\pi\)
−0.994584 + 0.103933i \(0.966857\pi\)
\(954\) −12.3745 26.0587i −0.400640 0.843681i
\(955\) 9.11811 7.65100i 0.295055 0.247581i
\(956\) 9.68217 11.5388i 0.313144 0.373190i
\(957\) −1.08287 + 1.19009i −0.0350042 + 0.0384703i
\(958\) −24.7591 14.2947i −0.799930 0.461840i
\(959\) 30.4999 36.3483i 0.984892 1.17375i
\(960\) −2.85984 + 0.386708i −0.0923008 + 0.0124809i
\(961\) −9.35204 −0.301679
\(962\) −9.31564 + 16.1352i −0.300348 + 0.520219i
\(963\) −34.4516 2.77090i −1.11019 0.0892909i
\(964\) −12.4737 14.8655i −0.401750 0.478787i
\(965\) 15.4554 5.62532i 0.497528 0.181085i
\(966\) −6.71527 + 3.52572i −0.216060 + 0.113438i
\(967\) −1.56328 8.86578i −0.0502716 0.285104i 0.949300 0.314371i \(-0.101794\pi\)
−0.999572 + 0.0292672i \(0.990683\pi\)
\(968\) −5.49267 9.51358i −0.176541 0.305778i
\(969\) 21.5516 13.6234i 0.692337 0.437647i
\(970\) 11.7307 20.3181i 0.376650 0.652376i
\(971\) −27.2016 9.90057i −0.872941 0.317725i −0.133583 0.991038i \(-0.542648\pi\)
−0.739358 + 0.673313i \(0.764871\pi\)
\(972\) −15.4171 + 2.30525i −0.494503 + 0.0739410i
\(973\) −9.35023 7.84577i −0.299755 0.251524i
\(974\) −9.72954 + 1.71558i −0.311755 + 0.0549707i
\(975\) −6.39134 8.26917i −0.204687 0.264826i
\(976\) −10.2792 −0.329028
\(977\) 10.2409 17.7377i 0.327635 0.567480i −0.654407 0.756142i \(-0.727082\pi\)
0.982042 + 0.188662i \(0.0604152\pi\)
\(978\) −20.0052 + 15.4623i −0.639697 + 0.494429i
\(979\) 2.02362 + 0.356819i 0.0646752 + 0.0114040i
\(980\) 22.2803 12.8636i 0.711720 0.410911i
\(981\) 1.16451 2.54370i 0.0371799 0.0812142i
\(982\) −29.6502 5.22814i −0.946177 0.166837i
\(983\) 2.58868 + 14.6811i 0.0825661 + 0.468256i 0.997855 + 0.0654583i \(0.0208509\pi\)
−0.915289 + 0.402797i \(0.868038\pi\)
\(984\) 5.74055 4.43693i 0.183002 0.141444i
\(985\) 11.0654 9.28500i 0.352574 0.295845i
\(986\) −25.5096 + 4.49802i −0.812390 + 0.143246i
\(987\) −67.1102 14.6314i −2.13614 0.465721i
\(988\) −0.947947 11.7886i −0.0301582 0.375046i
\(989\) 0.296992i 0.00944381i
\(990\) −0.431058 0.425056i −0.0136999 0.0135092i
\(991\) −6.02840 + 1.06297i −0.191498 + 0.0337663i −0.268575 0.963259i \(-0.586553\pi\)
0.0770763 + 0.997025i \(0.475441\pi\)
\(992\) −2.17262 5.96923i −0.0689809 0.189523i
\(993\) −14.4480 9.13334i −0.458493 0.289838i
\(994\) 22.4948 8.18743i 0.713491 0.259690i
\(995\) 12.8759i 0.408193i
\(996\) 28.3762 + 6.18657i 0.899134 + 0.196029i
\(997\) 1.57499 8.93221i 0.0498804 0.282886i −0.949657 0.313291i \(-0.898569\pi\)
0.999538 + 0.0304049i \(0.00967966\pi\)
\(998\) 19.8793 7.23546i 0.629267 0.229035i
\(999\) −4.28506 + 35.4229i −0.135573 + 1.12073i
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 342.2.x.c.281.3 yes 60
9.5 odd 6 342.2.bf.c.167.3 yes 60
19.14 odd 18 342.2.bf.c.299.3 yes 60
171.14 even 18 inner 342.2.x.c.185.3 60
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
342.2.x.c.185.3 60 171.14 even 18 inner
342.2.x.c.281.3 yes 60 1.1 even 1 trivial
342.2.bf.c.167.3 yes 60 9.5 odd 6
342.2.bf.c.299.3 yes 60 19.14 odd 18