Properties

Label 927.2.y.a.781.55
Level $927$
Weight $2$
Character 927.781
Analytic conductor $7.402$
Analytic rank $0$
Dimension $3264$
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] = [927,2,Mod(4,927)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(927, base_ring=CyclotomicField(102))
 
chi = DirichletCharacter(H, H._module([34, 88]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("927.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 927 = 3^{2} \cdot 103 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 927.y (of order \(51\), degree \(32\), 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: \(7.40213226737\)
Analytic rank: \(0\)
Dimension: \(3264\)
Relative dimension: \(102\) over \(\Q(\zeta_{51})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{51}]$

Embedding invariants

Embedding label 781.55
Character \(\chi\) \(=\) 927.781
Dual form 927.2.y.a.400.55

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.233279 - 0.0903728i) q^{2} +(1.27778 + 1.16931i) q^{3} +(-1.43177 + 1.30523i) q^{4} +(-1.04782 + 3.68271i) q^{5} +(0.403752 + 0.157300i) q^{6} +(0.466593 - 0.704159i) q^{7} +(-0.439067 + 0.881766i) q^{8} +(0.265418 + 2.98824i) q^{9} +O(q^{10})\) \(q+(0.233279 - 0.0903728i) q^{2} +(1.27778 + 1.16931i) q^{3} +(-1.43177 + 1.30523i) q^{4} +(-1.04782 + 3.68271i) q^{5} +(0.403752 + 0.157300i) q^{6} +(0.466593 - 0.704159i) q^{7} +(-0.439067 + 0.881766i) q^{8} +(0.265418 + 2.98824i) q^{9} +(0.0883820 + 0.953793i) q^{10} +(4.27924 + 3.44349i) q^{11} +(-3.35569 - 0.00639477i) q^{12} +(-1.65825 + 2.50254i) q^{13} +(0.0452095 - 0.206433i) q^{14} +(-5.64512 + 3.48044i) q^{15} +(0.334786 - 3.61292i) q^{16} +(2.78759 - 1.49690i) q^{17} +(0.331972 + 0.673106i) q^{18} +(-1.38865 - 3.94069i) q^{19} +(-3.30654 - 6.64042i) q^{20} +(1.41958 - 0.354164i) q^{21} +(1.30945 + 0.416567i) q^{22} +(-0.573391 - 3.69385i) q^{23} +(-1.59209 + 0.613292i) q^{24} +(-8.21333 - 5.08548i) q^{25} +(-0.160672 + 0.733651i) q^{26} +(-3.15504 + 4.12865i) q^{27} +(0.251036 + 1.61720i) q^{28} +(1.52539 - 5.36118i) q^{29} +(-1.00235 + 1.32208i) q^{30} +(1.18482 - 0.545105i) q^{31} +(-0.787545 - 2.76794i) q^{32} +(1.44139 + 9.40377i) q^{33} +(0.515007 - 0.601118i) q^{34} +(2.10431 + 2.45616i) q^{35} +(-4.28034 - 3.93202i) q^{36} +(-1.89659 + 2.51149i) q^{37} +(-0.680073 - 0.793784i) q^{38} +(-5.04512 + 1.25868i) q^{39} +(-2.78722 - 2.54089i) q^{40} +(6.79808 + 1.70979i) q^{41} +(0.299152 - 0.210911i) q^{42} +(4.66299 + 6.17479i) q^{43} +(-10.6214 + 0.655105i) q^{44} +(-11.2829 - 2.15368i) q^{45} +(-0.467583 - 0.809878i) q^{46} +(2.19056 + 3.79417i) q^{47} +(4.65241 - 4.22503i) q^{48} +(2.45037 + 5.78923i) q^{49} +(-2.37559 - 0.444074i) q^{50} +(5.31226 + 1.34686i) q^{51} +(-0.892168 - 5.74744i) q^{52} +(-1.00051 + 1.16780i) q^{53} +(-0.362886 + 1.24826i) q^{54} +(-17.1652 + 12.1510i) q^{55} +(0.416038 + 0.720599i) q^{56} +(2.83352 - 6.65907i) q^{57} +(-0.128664 - 1.38851i) q^{58} +(-4.92922 - 7.43894i) q^{59} +(3.53971 - 12.3513i) q^{60} +(7.04650 - 3.78389i) q^{61} +(0.227132 - 0.234237i) q^{62} +(2.22804 + 1.20739i) q^{63} +(3.93933 + 5.21652i) q^{64} +(-7.47859 - 8.72905i) q^{65} +(1.18609 + 2.06344i) q^{66} +(-2.90875 + 5.84155i) q^{67} +(-2.03738 + 5.78165i) q^{68} +(3.58659 - 5.39038i) q^{69} +(0.712861 + 0.382798i) q^{70} +(-13.4423 - 3.38088i) q^{71} +(-2.75146 - 1.07800i) q^{72} +(-0.789844 - 2.77601i) q^{73} +(-0.215464 + 0.757279i) q^{74} +(-4.54827 - 16.1020i) q^{75} +(7.13171 + 3.82965i) q^{76} +(4.42142 - 1.40656i) q^{77} +(-1.06317 + 0.749565i) q^{78} +(-5.27755 - 5.44266i) q^{79} +(12.9545 + 5.01861i) q^{80} +(-8.85911 + 1.58626i) q^{81} +(1.74037 - 0.215504i) q^{82} +(-0.514992 - 1.03424i) q^{83} +(-1.57024 + 2.35996i) q^{84} +(2.59177 + 11.8344i) q^{85} +(1.64581 + 1.01904i) q^{86} +(8.21800 - 5.06673i) q^{87} +(-4.91522 + 2.26136i) q^{88} +(-2.59649 - 2.36701i) q^{89} +(-2.82670 + 0.517260i) q^{90} +(0.988463 + 2.33534i) q^{91} +(5.64227 + 4.54032i) q^{92} +(2.15133 + 0.688906i) q^{93} +(0.853902 + 0.687133i) q^{94} +(15.9675 - 0.984839i) q^{95} +(2.23027 - 4.45768i) q^{96} +(8.73682 - 5.40961i) q^{97} +(1.09481 + 1.12906i) q^{98} +(-9.15417 + 13.7013i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 3264 q - 15 q^{2} - 29 q^{3} - 215 q^{4} - 11 q^{5} - 29 q^{6} - 17 q^{7} - 56 q^{8} - 19 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 3264 q - 15 q^{2} - 29 q^{3} - 215 q^{4} - 11 q^{5} - 29 q^{6} - 17 q^{7} - 56 q^{8} - 19 q^{9} - 56 q^{10} - 28 q^{11} + 2 q^{12} - 17 q^{13} + 65 q^{14} - 29 q^{15} - 203 q^{16} - 66 q^{17} - 34 q^{18} - 68 q^{19} + 43 q^{20} - 25 q^{21} - 11 q^{22} - 19 q^{23} - 46 q^{24} - 215 q^{25} - 52 q^{26} - 14 q^{27} - 56 q^{28} - 11 q^{29} - 18 q^{30} - 14 q^{31} - 11 q^{32} - 38 q^{33} - 17 q^{34} - 72 q^{35} - 257 q^{36} - 101 q^{37} - 52 q^{38} + 86 q^{39} + 19 q^{40} - 20 q^{41} + 2 q^{42} - 23 q^{43} - 72 q^{44} - 41 q^{45} - 40 q^{46} + 344 q^{47} - 317 q^{48} + 67 q^{49} - 41 q^{50} + 2 q^{51} - 14 q^{52} - 88 q^{53} + 15 q^{54} - 95 q^{55} + 55 q^{56} - 2 q^{57} - 11 q^{58} - 24 q^{59} + 271 q^{60} + 4 q^{61} - 90 q^{62} - 41 q^{63} - 224 q^{64} - 33 q^{65} - 292 q^{66} + 61 q^{67} + 381 q^{68} - 298 q^{69} - 11 q^{70} - 115 q^{71} + 15 q^{72} - 32 q^{73} - 31 q^{74} + 164 q^{75} - 23 q^{76} - 52 q^{77} - 2 q^{78} - 14 q^{79} - 152 q^{80} - 11 q^{81} - 62 q^{82} - 63 q^{83} - 89 q^{84} + 4 q^{85} + 105 q^{86} + 73 q^{87} - 2 q^{88} - 112 q^{89} - 68 q^{90} - 306 q^{91} - 66 q^{92} - 195 q^{93} + 27 q^{94} - 206 q^{95} - 53 q^{96} + 6 q^{97} - 46 q^{98} - 130 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).

\(n\) \(722\) \(829\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{13}{51}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.233279 0.0903728i 0.164953 0.0639032i −0.277349 0.960769i \(-0.589456\pi\)
0.442302 + 0.896866i \(0.354162\pi\)
\(3\) 1.27778 + 1.16931i 0.737724 + 0.675103i
\(4\) −1.43177 + 1.30523i −0.715883 + 0.652614i
\(5\) −1.04782 + 3.68271i −0.468600 + 1.64696i 0.262683 + 0.964882i \(0.415393\pi\)
−0.731282 + 0.682075i \(0.761078\pi\)
\(6\) 0.403752 + 0.157300i 0.164831 + 0.0642174i
\(7\) 0.466593 0.704159i 0.176355 0.266147i −0.734734 0.678355i \(-0.762693\pi\)
0.911090 + 0.412208i \(0.135242\pi\)
\(8\) −0.439067 + 0.881766i −0.155234 + 0.311751i
\(9\) 0.265418 + 2.98824i 0.0884727 + 0.996079i
\(10\) 0.0883820 + 0.953793i 0.0279488 + 0.301616i
\(11\) 4.27924 + 3.44349i 1.29024 + 1.03825i 0.996605 + 0.0823327i \(0.0262370\pi\)
0.293633 + 0.955918i \(0.405136\pi\)
\(12\) −3.35569 0.00639477i −0.968705 0.00184601i
\(13\) −1.65825 + 2.50254i −0.459915 + 0.694081i −0.987886 0.155181i \(-0.950404\pi\)
0.527971 + 0.849262i \(0.322953\pi\)
\(14\) 0.0452095 0.206433i 0.0120827 0.0551715i
\(15\) −5.64512 + 3.48044i −1.45756 + 0.898647i
\(16\) 0.334786 3.61292i 0.0836966 0.903230i
\(17\) 2.78759 1.49690i 0.676090 0.363052i −0.0988371 0.995104i \(-0.531512\pi\)
0.774927 + 0.632051i \(0.217787\pi\)
\(18\) 0.331972 + 0.673106i 0.0782465 + 0.158653i
\(19\) −1.38865 3.94069i −0.318577 0.904056i −0.987063 0.160331i \(-0.948744\pi\)
0.668486 0.743725i \(-0.266943\pi\)
\(20\) −3.30654 6.64042i −0.739364 1.48484i
\(21\) 1.41958 0.354164i 0.309778 0.0772850i
\(22\) 1.30945 + 0.416567i 0.279177 + 0.0888124i
\(23\) −0.573391 3.69385i −0.119560 0.770220i −0.969814 0.243847i \(-0.921591\pi\)
0.850254 0.526373i \(-0.176449\pi\)
\(24\) −1.59209 + 0.613292i −0.324984 + 0.125188i
\(25\) −8.21333 5.08548i −1.64267 1.01710i
\(26\) −0.160672 + 0.733651i −0.0315104 + 0.143881i
\(27\) −3.15504 + 4.12865i −0.607187 + 0.794559i
\(28\) 0.251036 + 1.61720i 0.0474413 + 0.305622i
\(29\) 1.52539 5.36118i 0.283258 0.995547i −0.681372 0.731937i \(-0.738616\pi\)
0.964629 0.263610i \(-0.0849130\pi\)
\(30\) −1.00235 + 1.32208i −0.183003 + 0.241378i
\(31\) 1.18482 0.545105i 0.212800 0.0979037i −0.308684 0.951165i \(-0.599888\pi\)
0.521484 + 0.853261i \(0.325379\pi\)
\(32\) −0.787545 2.76794i −0.139220 0.489306i
\(33\) 1.44139 + 9.40377i 0.250913 + 1.63699i
\(34\) 0.515007 0.601118i 0.0883229 0.103091i
\(35\) 2.10431 + 2.45616i 0.355693 + 0.415166i
\(36\) −4.28034 3.93202i −0.713390 0.655337i
\(37\) −1.89659 + 2.51149i −0.311798 + 0.412887i −0.926751 0.375677i \(-0.877410\pi\)
0.614953 + 0.788564i \(0.289175\pi\)
\(38\) −0.680073 0.793784i −0.110322 0.128769i
\(39\) −5.04512 + 1.25868i −0.807866 + 0.201550i
\(40\) −2.78722 2.54089i −0.440699 0.401750i
\(41\) 6.79808 + 1.70979i 1.06168 + 0.267024i 0.734970 0.678100i \(-0.237196\pi\)
0.326712 + 0.945124i \(0.394059\pi\)
\(42\) 0.299152 0.210911i 0.0461602 0.0325442i
\(43\) 4.66299 + 6.17479i 0.711099 + 0.941647i 0.999876 0.0157495i \(-0.00501344\pi\)
−0.288777 + 0.957396i \(0.593249\pi\)
\(44\) −10.6214 + 0.655105i −1.60124 + 0.0987609i
\(45\) −11.2829 2.15368i −1.68196 0.321051i
\(46\) −0.467583 0.809878i −0.0689414 0.119410i
\(47\) 2.19056 + 3.79417i 0.319527 + 0.553436i 0.980389 0.197070i \(-0.0631428\pi\)
−0.660863 + 0.750507i \(0.729809\pi\)
\(48\) 4.65241 4.22503i 0.671518 0.609831i
\(49\) 2.45037 + 5.78923i 0.350053 + 0.827033i
\(50\) −2.37559 0.444074i −0.335959 0.0628015i
\(51\) 5.31226 + 1.34686i 0.743865 + 0.188597i
\(52\) −0.892168 5.74744i −0.123721 0.797027i
\(53\) −1.00051 + 1.16780i −0.137430 + 0.160409i −0.823873 0.566775i \(-0.808191\pi\)
0.686443 + 0.727184i \(0.259171\pi\)
\(54\) −0.362886 + 1.24826i −0.0493826 + 0.169866i
\(55\) −17.1652 + 12.1510i −2.31456 + 1.63844i
\(56\) 0.416038 + 0.720599i 0.0555954 + 0.0962940i
\(57\) 2.83352 6.65907i 0.375309 0.882016i
\(58\) −0.128664 1.38851i −0.0168944 0.182320i
\(59\) −4.92922 7.43894i −0.641730 0.968468i −0.999401 0.0346198i \(-0.988978\pi\)
0.357671 0.933848i \(-0.383571\pi\)
\(60\) 3.53971 12.3513i 0.456975 1.59455i
\(61\) 7.04650 3.78389i 0.902212 0.484478i 0.0447347 0.998999i \(-0.485756\pi\)
0.857478 + 0.514521i \(0.172030\pi\)
\(62\) 0.227132 0.234237i 0.0288457 0.0297482i
\(63\) 2.22804 + 1.20739i 0.280706 + 0.152117i
\(64\) 3.93933 + 5.21652i 0.492417 + 0.652065i
\(65\) −7.47859 8.72905i −0.927605 1.08271i
\(66\) 1.18609 + 2.06344i 0.145998 + 0.253992i
\(67\) −2.90875 + 5.84155i −0.355360 + 0.713659i −0.998649 0.0519642i \(-0.983452\pi\)
0.643289 + 0.765624i \(0.277569\pi\)
\(68\) −2.03738 + 5.78165i −0.247068 + 0.701128i
\(69\) 3.58659 5.39038i 0.431775 0.648925i
\(70\) 0.712861 + 0.382798i 0.0852031 + 0.0457531i
\(71\) −13.4423 3.38088i −1.59531 0.401237i −0.658925 0.752208i \(-0.728989\pi\)
−0.936386 + 0.350971i \(0.885851\pi\)
\(72\) −2.75146 1.07800i −0.324263 0.127043i
\(73\) −0.789844 2.77601i −0.0924443 0.324908i 0.901785 0.432185i \(-0.142257\pi\)
−0.994229 + 0.107277i \(0.965787\pi\)
\(74\) −0.215464 + 0.757279i −0.0250472 + 0.0880319i
\(75\) −4.54827 16.1020i −0.525189 1.85930i
\(76\) 7.13171 + 3.82965i 0.818063 + 0.439291i
\(77\) 4.42142 1.40656i 0.503868 0.160292i
\(78\) −1.06317 + 0.749565i −0.120380 + 0.0848716i
\(79\) −5.27755 5.44266i −0.593771 0.612347i 0.352464 0.935825i \(-0.385344\pi\)
−0.946236 + 0.323479i \(0.895148\pi\)
\(80\) 12.9545 + 5.01861i 1.44836 + 0.561098i
\(81\) −8.85911 + 1.58626i −0.984345 + 0.176251i
\(82\) 1.74037 0.215504i 0.192192 0.0237985i
\(83\) −0.514992 1.03424i −0.0565277 0.113523i 0.865098 0.501603i \(-0.167256\pi\)
−0.921626 + 0.388080i \(0.873138\pi\)
\(84\) −1.57024 + 2.35996i −0.171328 + 0.257493i
\(85\) 2.59177 + 11.8344i 0.281116 + 1.28362i
\(86\) 1.64581 + 1.01904i 0.177472 + 0.109886i
\(87\) 8.21800 5.06673i 0.881062 0.543211i
\(88\) −4.91522 + 2.26136i −0.523964 + 0.241062i
\(89\) −2.59649 2.36701i −0.275227 0.250903i 0.524299 0.851534i \(-0.324328\pi\)
−0.799526 + 0.600632i \(0.794916\pi\)
\(90\) −2.82670 + 0.517260i −0.297960 + 0.0545240i
\(91\) 0.988463 + 2.33534i 0.103619 + 0.244810i
\(92\) 5.64227 + 4.54032i 0.588247 + 0.473361i
\(93\) 2.15133 + 0.688906i 0.223083 + 0.0714362i
\(94\) 0.853902 + 0.687133i 0.0880733 + 0.0708723i
\(95\) 15.9675 0.984839i 1.63823 0.101042i
\(96\) 2.23027 4.45768i 0.227626 0.454961i
\(97\) 8.73682 5.40961i 0.887090 0.549263i −0.00557468 0.999984i \(-0.501774\pi\)
0.892665 + 0.450722i \(0.148833\pi\)
\(98\) 1.09481 + 1.12906i 0.110592 + 0.114052i
\(99\) −9.15417 + 13.7013i −0.920029 + 1.37704i
\(100\) 18.3973 3.43904i 1.83973 0.343904i
\(101\) −1.84867 + 0.716180i −0.183950 + 0.0712626i −0.451455 0.892294i \(-0.649095\pi\)
0.267505 + 0.963556i \(0.413801\pi\)
\(102\) 1.36096 0.165890i 0.134755 0.0164256i
\(103\) 5.26468 + 8.67659i 0.518744 + 0.854929i
\(104\) −1.47858 2.56097i −0.144986 0.251124i
\(105\) −0.183184 + 5.59901i −0.0178769 + 0.546407i
\(106\) −0.127860 + 0.362841i −0.0124189 + 0.0352422i
\(107\) 2.16101 + 9.86747i 0.208913 + 0.953924i 0.956947 + 0.290264i \(0.0937431\pi\)
−0.748034 + 0.663660i \(0.769002\pi\)
\(108\) −0.871552 10.0293i −0.0838651 0.965070i
\(109\) 3.56547 + 1.91462i 0.341510 + 0.183387i 0.634878 0.772613i \(-0.281050\pi\)
−0.293367 + 0.956000i \(0.594776\pi\)
\(110\) −2.90617 + 4.38585i −0.277092 + 0.418174i
\(111\) −5.36013 + 0.991415i −0.508761 + 0.0941009i
\(112\) −2.38786 1.92151i −0.225632 0.181565i
\(113\) 11.8089 8.35938i 1.11089 0.786384i 0.132099 0.991237i \(-0.457828\pi\)
0.978793 + 0.204852i \(0.0656714\pi\)
\(114\) 0.0592017 1.80950i 0.00554475 0.169475i
\(115\) 14.2042 + 1.75886i 1.32455 + 0.164014i
\(116\) 4.81356 + 9.66694i 0.446928 + 0.897553i
\(117\) −7.91832 4.29101i −0.732049 0.396704i
\(118\) −1.82216 1.28988i −0.167744 0.118743i
\(119\) 0.246610 2.66135i 0.0226067 0.243966i
\(120\) −0.590351 6.50582i −0.0538914 0.593897i
\(121\) 4.10098 + 18.7257i 0.372817 + 1.70233i
\(122\) 1.30184 1.51952i 0.117863 0.137570i
\(123\) 6.68715 + 10.1338i 0.602960 + 0.913734i
\(124\) −0.984903 + 2.32692i −0.0884469 + 0.208964i
\(125\) 13.1866 12.0211i 1.17944 1.07520i
\(126\) 0.628870 + 0.0803056i 0.0560242 + 0.00715419i
\(127\) 2.14403 7.53549i 0.190252 0.668667i −0.806722 0.590931i \(-0.798760\pi\)
0.996974 0.0777356i \(-0.0247690\pi\)
\(128\) 6.28389 + 3.89082i 0.555423 + 0.343903i
\(129\) −1.26201 + 13.3425i −0.111114 + 1.17474i
\(130\) −2.53347 1.36044i −0.222200 0.119319i
\(131\) 1.28960 1.03774i 0.112673 0.0906677i −0.568946 0.822375i \(-0.692649\pi\)
0.681619 + 0.731707i \(0.261276\pi\)
\(132\) −14.3378 11.5827i −1.24794 1.00814i
\(133\) −3.42280 0.860870i −0.296795 0.0746469i
\(134\) −0.150633 + 1.62558i −0.0130127 + 0.140429i
\(135\) −11.8987 15.9452i −1.02408 1.37234i
\(136\) 0.0959795 + 3.11524i 0.00823018 + 0.267130i
\(137\) −8.88094 + 10.3659i −0.758750 + 0.885617i −0.996316 0.0857543i \(-0.972670\pi\)
0.237566 + 0.971371i \(0.423650\pi\)
\(138\) 0.349534 1.58159i 0.0297543 0.134634i
\(139\) −9.55202 + 19.1830i −0.810192 + 1.62708i −0.0316442 + 0.999499i \(0.510074\pi\)
−0.778548 + 0.627585i \(0.784043\pi\)
\(140\) −6.21872 0.770044i −0.525578 0.0650806i
\(141\) −1.63752 + 7.40955i −0.137904 + 0.623996i
\(142\) −3.44136 + 0.426132i −0.288792 + 0.0357602i
\(143\) −15.7135 + 4.99882i −1.31403 + 0.418023i
\(144\) 10.8851 + 0.0414866i 0.907093 + 0.00345721i
\(145\) 18.1453 + 11.2351i 1.50689 + 0.933026i
\(146\) −0.435130 0.576206i −0.0360116 0.0476871i
\(147\) −3.63839 + 10.2626i −0.300090 + 0.846443i
\(148\) −0.562593 6.07135i −0.0462449 0.499062i
\(149\) 9.89048 17.1308i 0.810259 1.40341i −0.102423 0.994741i \(-0.532660\pi\)
0.912682 0.408669i \(-0.134007\pi\)
\(150\) −2.51620 3.34523i −0.205447 0.273137i
\(151\) −0.0272729 0.294321i −0.00221943 0.0239515i 0.994552 0.104237i \(-0.0332402\pi\)
−0.996772 + 0.0802859i \(0.974417\pi\)
\(152\) 4.08447 + 0.505767i 0.331294 + 0.0410231i
\(153\) 5.21298 + 7.93267i 0.421444 + 0.641318i
\(154\) 0.904311 0.727697i 0.0728715 0.0586395i
\(155\) 0.765980 + 4.93453i 0.0615250 + 0.396351i
\(156\) 5.58057 8.38716i 0.446803 0.671510i
\(157\) −9.37958 22.1601i −0.748572 1.76857i −0.631397 0.775460i \(-0.717518\pi\)
−0.117175 0.993111i \(-0.537384\pi\)
\(158\) −1.72301 0.792711i −0.137075 0.0630647i
\(159\) −2.64394 + 0.322276i −0.209678 + 0.0255582i
\(160\) 11.0187 0.871105
\(161\) −2.86859 1.31976i −0.226077 0.104012i
\(162\) −1.92329 + 1.17066i −0.151108 + 0.0919761i
\(163\) 3.21941 7.60616i 0.252164 0.595761i −0.745316 0.666711i \(-0.767701\pi\)
0.997480 + 0.0709508i \(0.0226033\pi\)
\(164\) −11.9649 + 6.42503i −0.934303 + 0.501710i
\(165\) −36.1416 4.54525i −2.81362 0.353847i
\(166\) −0.213604 0.194726i −0.0165789 0.0151137i
\(167\) −0.935349 + 2.20985i −0.0723794 + 0.171003i −0.953117 0.302601i \(-0.902145\pi\)
0.880738 + 0.473604i \(0.157047\pi\)
\(168\) −0.311002 + 1.40724i −0.0239943 + 0.108571i
\(169\) 1.55427 + 3.67211i 0.119559 + 0.282470i
\(170\) 1.67411 + 2.52648i 0.128398 + 0.193772i
\(171\) 11.4071 5.19553i 0.872325 0.397312i
\(172\) −14.7358 2.75460i −1.12359 0.210036i
\(173\) 14.6016 + 7.84088i 1.11014 + 0.596131i 0.922457 0.386099i \(-0.126178\pi\)
0.187680 + 0.982230i \(0.439903\pi\)
\(174\) 1.45919 1.92465i 0.110621 0.145907i
\(175\) −7.41326 + 3.41064i −0.560390 + 0.257820i
\(176\) 13.8737 14.3077i 1.04577 1.07848i
\(177\) 2.40001 15.2691i 0.180396 1.14770i
\(178\) −0.819620 0.317522i −0.0614331 0.0237993i
\(179\) 17.3023 10.7131i 1.29323 0.800735i 0.304802 0.952416i \(-0.401410\pi\)
0.988430 + 0.151681i \(0.0484685\pi\)
\(180\) 18.9655 11.6432i 1.41361 0.867833i
\(181\) −0.529975 + 17.2016i −0.0393927 + 1.27858i 0.748651 + 0.662964i \(0.230702\pi\)
−0.788044 + 0.615619i \(0.788906\pi\)
\(182\) 0.441639 + 0.455455i 0.0327364 + 0.0337606i
\(183\) 13.4284 + 3.40460i 0.992656 + 0.251675i
\(184\) 3.50886 + 1.11625i 0.258677 + 0.0822910i
\(185\) −7.26180 9.61618i −0.533898 0.706996i
\(186\) 0.564120 0.0337147i 0.0413632 0.00247208i
\(187\) 17.0833 + 3.19343i 1.24926 + 0.233526i
\(188\) −8.08863 2.57318i −0.589924 0.187668i
\(189\) 1.43511 + 4.14805i 0.104389 + 0.301726i
\(190\) 3.63587 1.67277i 0.263774 0.121355i
\(191\) 1.59156 0.732234i 0.115161 0.0529826i −0.359539 0.933130i \(-0.617066\pi\)
0.474701 + 0.880147i \(0.342556\pi\)
\(192\) −1.06616 + 11.2719i −0.0769434 + 0.813476i
\(193\) −5.54585 + 8.36953i −0.399199 + 0.602452i −0.976874 0.213815i \(-0.931411\pi\)
0.577675 + 0.816267i \(0.303960\pi\)
\(194\) 1.54924 2.05152i 0.111229 0.147291i
\(195\) 0.651026 19.8986i 0.0466210 1.42497i
\(196\) −11.0646 5.09053i −0.790330 0.363609i
\(197\) 19.3711 7.50440i 1.38013 0.534667i 0.447109 0.894479i \(-0.352454\pi\)
0.933024 + 0.359813i \(0.117159\pi\)
\(198\) −0.897249 + 4.02352i −0.0637647 + 0.285939i
\(199\) −23.1656 1.42881i −1.64217 0.101285i −0.786082 0.618122i \(-0.787894\pi\)
−0.856084 + 0.516837i \(0.827109\pi\)
\(200\) 8.09040 5.00936i 0.572078 0.354215i
\(201\) −10.5473 + 4.06296i −0.743951 + 0.286579i
\(202\) −0.366534 + 0.334140i −0.0257892 + 0.0235100i
\(203\) −3.06339 3.57561i −0.215008 0.250958i
\(204\) −9.36386 + 5.00532i −0.655602 + 0.350443i
\(205\) −13.4198 + 23.2438i −0.937281 + 1.62342i
\(206\) 2.01227 + 1.54828i 0.140201 + 0.107874i
\(207\) 10.8859 2.69384i 0.756622 0.187235i
\(208\) 8.48633 + 6.82893i 0.588421 + 0.473501i
\(209\) 7.62738 21.6449i 0.527597 1.49721i
\(210\) 0.463265 + 1.32269i 0.0319683 + 0.0912740i
\(211\) −2.88611 + 10.1436i −0.198688 + 0.698316i 0.796869 + 0.604153i \(0.206488\pi\)
−0.995557 + 0.0941635i \(0.969982\pi\)
\(212\) −0.0917481 2.97790i −0.00630129 0.204523i
\(213\) −13.2230 20.0383i −0.906023 1.37300i
\(214\) 1.39587 + 2.10658i 0.0954196 + 0.144003i
\(215\) −27.6259 + 10.7023i −1.88407 + 0.729894i
\(216\) −2.25523 4.59476i −0.153449 0.312634i
\(217\) 0.168989 1.08865i 0.0114717 0.0739021i
\(218\) 1.00478 + 0.124419i 0.0680523 + 0.00842670i
\(219\) 2.23678 4.47070i 0.151148 0.302102i
\(220\) 8.71676 39.8019i 0.587684 2.68345i
\(221\) −0.876440 + 9.45829i −0.0589557 + 0.636234i
\(222\) −1.16081 + 0.715687i −0.0779085 + 0.0480337i
\(223\) −0.768010 + 24.9276i −0.0514297 + 1.66927i 0.524225 + 0.851580i \(0.324355\pi\)
−0.575655 + 0.817693i \(0.695253\pi\)
\(224\) −2.31653 0.736941i −0.154780 0.0492389i
\(225\) 13.0166 25.8931i 0.867776 1.72621i
\(226\) 1.99932 3.01728i 0.132993 0.200706i
\(227\) 8.54086 20.1786i 0.566877 1.33930i −0.348730 0.937223i \(-0.613387\pi\)
0.915606 0.402076i \(-0.131711\pi\)
\(228\) 4.63467 + 13.2326i 0.306938 + 0.876352i
\(229\) −2.61615 16.8535i −0.172880 1.11371i −0.902762 0.430140i \(-0.858464\pi\)
0.729882 0.683573i \(-0.239575\pi\)
\(230\) 3.47249 0.873366i 0.228969 0.0575880i
\(231\) 7.29429 + 3.37276i 0.479929 + 0.221911i
\(232\) 4.05756 + 3.69895i 0.266392 + 0.242848i
\(233\) 6.74698 4.17755i 0.442009 0.273681i −0.287331 0.957831i \(-0.592768\pi\)
0.729341 + 0.684151i \(0.239827\pi\)
\(234\) −2.23497 0.285402i −0.146104 0.0186573i
\(235\) −16.2681 + 4.09160i −1.06122 + 0.266907i
\(236\) 16.7670 + 4.21707i 1.09144 + 0.274508i
\(237\) −0.379360 13.1256i −0.0246421 0.852599i
\(238\) −0.182985 0.643124i −0.0118611 0.0416875i
\(239\) −22.7552 + 14.0894i −1.47191 + 0.911367i −0.472358 + 0.881407i \(0.656597\pi\)
−0.999551 + 0.0299604i \(0.990462\pi\)
\(240\) 10.6847 + 21.5606i 0.689692 + 1.39173i
\(241\) −3.64017 + 0.680466i −0.234484 + 0.0438327i −0.299680 0.954040i \(-0.596880\pi\)
0.0651958 + 0.997872i \(0.479233\pi\)
\(242\) 2.64896 + 3.99769i 0.170282 + 0.256981i
\(243\) −13.1748 8.33217i −0.845163 0.534509i
\(244\) −5.15011 + 14.6149i −0.329702 + 0.935625i
\(245\) −23.8876 + 2.95792i −1.52612 + 0.188975i
\(246\) 2.47579 + 1.75967i 0.157851 + 0.112192i
\(247\) 12.1645 + 3.05948i 0.774006 + 0.194670i
\(248\) −0.0395619 + 1.28407i −0.00251218 + 0.0815387i
\(249\) 0.551309 1.92372i 0.0349378 0.121911i
\(250\) 1.98977 3.99599i 0.125844 0.252728i
\(251\) 28.4192 + 13.0749i 1.79380 + 0.825281i 0.963376 + 0.268155i \(0.0864138\pi\)
0.830428 + 0.557126i \(0.188096\pi\)
\(252\) −4.76595 + 1.17939i −0.300226 + 0.0742945i
\(253\) 10.2660 17.7813i 0.645420 1.11790i
\(254\) −0.180846 1.95164i −0.0113473 0.122456i
\(255\) −10.5264 + 18.1522i −0.659187 + 1.13674i
\(256\) −11.0336 2.06253i −0.689598 0.128908i
\(257\) 14.5653 + 5.64264i 0.908561 + 0.351978i 0.769754 0.638341i \(-0.220379\pi\)
0.138807 + 0.990319i \(0.455673\pi\)
\(258\) 0.911396 + 3.22657i 0.0567411 + 0.200878i
\(259\) 0.883554 + 2.50735i 0.0549014 + 0.155799i
\(260\) 22.1010 + 2.73670i 1.37065 + 0.169723i
\(261\) 16.4253 + 3.13527i 1.01670 + 0.194068i
\(262\) 0.207054 0.358628i 0.0127918 0.0221561i
\(263\) −13.0985 −0.807691 −0.403846 0.914827i \(-0.632327\pi\)
−0.403846 + 0.914827i \(0.632327\pi\)
\(264\) −8.92478 2.85792i −0.549283 0.175893i
\(265\) −3.25230 4.90822i −0.199787 0.301509i
\(266\) −0.876268 + 0.108505i −0.0537274 + 0.00665290i
\(267\) −0.549952 6.06061i −0.0336565 0.370904i
\(268\) −3.45991 12.1603i −0.211348 0.742810i
\(269\) −26.8300 + 8.53522i −1.63585 + 0.520402i −0.973480 0.228774i \(-0.926528\pi\)
−0.662372 + 0.749175i \(0.730450\pi\)
\(270\) −4.21673 2.64435i −0.256622 0.160930i
\(271\) −1.95784 + 5.55595i −0.118930 + 0.337500i −0.987400 0.158242i \(-0.949417\pi\)
0.868470 + 0.495742i \(0.165104\pi\)
\(272\) −4.47495 10.5725i −0.271333 0.641051i
\(273\) −1.46770 + 4.13986i −0.0888295 + 0.250556i
\(274\) −1.13494 + 3.22074i −0.0685645 + 0.194572i
\(275\) −17.6350 50.0444i −1.06343 3.01779i
\(276\) 1.90050 + 12.3991i 0.114397 + 0.746337i
\(277\) 1.89677 1.95610i 0.113966 0.117531i −0.658520 0.752563i \(-0.728817\pi\)
0.772486 + 0.635032i \(0.219013\pi\)
\(278\) −0.494661 + 5.33825i −0.0296678 + 0.320167i
\(279\) 1.94337 + 3.39585i 0.116347 + 0.203304i
\(280\) −3.08969 + 0.777088i −0.184644 + 0.0464399i
\(281\) 19.5107 + 7.55847i 1.16391 + 0.450901i 0.864209 0.503133i \(-0.167819\pi\)
0.299700 + 0.954034i \(0.403114\pi\)
\(282\) 0.287623 + 1.87648i 0.0171277 + 0.111743i
\(283\) −8.15138 + 2.59314i −0.484549 + 0.154146i −0.535466 0.844557i \(-0.679864\pi\)
0.0509171 + 0.998703i \(0.483786\pi\)
\(284\) 23.6591 12.7047i 1.40391 0.753883i
\(285\) 21.5544 + 17.4125i 1.27677 + 1.03143i
\(286\) −3.21387 + 2.58619i −0.190040 + 0.152925i
\(287\) 4.37590 3.98916i 0.258301 0.235473i
\(288\) 8.06221 3.08803i 0.475071 0.181964i
\(289\) −3.86027 + 5.82574i −0.227075 + 0.342691i
\(290\) 5.24828 + 0.981073i 0.308190 + 0.0576106i
\(291\) 17.4892 + 3.30381i 1.02524 + 0.193673i
\(292\) 4.75420 + 2.94368i 0.278219 + 0.172266i
\(293\) 26.7924 + 18.9660i 1.56523 + 1.10800i 0.946642 + 0.322288i \(0.104452\pi\)
0.618588 + 0.785715i \(0.287705\pi\)
\(294\) 0.0786969 + 2.72286i 0.00458970 + 0.158800i
\(295\) 32.5604 10.3582i 1.89574 0.603078i
\(296\) −1.38182 2.77506i −0.0803165 0.161297i
\(297\) −27.7181 + 6.80314i −1.60837 + 0.394758i
\(298\) 0.759082 4.89009i 0.0439725 0.283275i
\(299\) 10.1948 + 4.69037i 0.589582 + 0.271251i
\(300\) 27.5289 + 17.1178i 1.58938 + 0.988298i
\(301\) 6.52375 0.402371i 0.376023 0.0231923i
\(302\) −0.0329608 0.0661942i −0.00189668 0.00380905i
\(303\) −3.19963 1.24656i −0.183814 0.0716130i
\(304\) −14.7023 + 3.69778i −0.843234 + 0.212082i
\(305\) 6.55150 + 29.9151i 0.375138 + 1.71293i
\(306\) 1.93298 + 1.37941i 0.110501 + 0.0788558i
\(307\) −8.98281 7.22844i −0.512676 0.412549i 0.335679 0.941976i \(-0.391034\pi\)
−0.848355 + 0.529427i \(0.822407\pi\)
\(308\) −4.49457 + 7.78482i −0.256102 + 0.443581i
\(309\) −3.41856 + 17.2428i −0.194475 + 0.980907i
\(310\) 0.624634 + 1.08190i 0.0354768 + 0.0614477i
\(311\) 3.28084 21.1355i 0.186040 1.19849i −0.692715 0.721212i \(-0.743585\pi\)
0.878754 0.477275i \(-0.158375\pi\)
\(312\) 1.10528 5.00126i 0.0625744 0.283140i
\(313\) −20.4514 6.50607i −1.15598 0.367745i −0.336968 0.941516i \(-0.609402\pi\)
−0.819016 + 0.573771i \(0.805480\pi\)
\(314\) −4.19073 4.32184i −0.236497 0.243895i
\(315\) −6.78106 + 6.94007i −0.382069 + 0.391029i
\(316\) 14.6601 + 0.904205i 0.824696 + 0.0508655i
\(317\) −4.19114 6.32506i −0.235398 0.355251i 0.696759 0.717305i \(-0.254625\pi\)
−0.932157 + 0.362054i \(0.882076\pi\)
\(318\) −0.587651 + 0.314121i −0.0329538 + 0.0176150i
\(319\) 24.9887 17.6891i 1.39910 0.990400i
\(320\) −23.3386 + 9.04144i −1.30467 + 0.505432i
\(321\) −8.77687 + 15.1353i −0.489877 + 0.844770i
\(322\) −0.788454 0.0486302i −0.0439388 0.00271005i
\(323\) −9.76980 8.90635i −0.543606 0.495563i
\(324\) 10.6137 13.8343i 0.589652 0.768572i
\(325\) 26.3463 12.1212i 1.46143 0.672365i
\(326\) 0.0636314 2.06531i 0.00352422 0.114387i
\(327\) 2.31709 + 6.61560i 0.128135 + 0.365844i
\(328\) −4.49245 + 5.24360i −0.248054 + 0.289530i
\(329\) 3.69380 + 0.227826i 0.203646 + 0.0125604i
\(330\) −8.84186 + 2.20591i −0.486728 + 0.121431i
\(331\) −0.128642 0.587398i −0.00707081 0.0322863i 0.973180 0.230047i \(-0.0738880\pi\)
−0.980250 + 0.197761i \(0.936633\pi\)
\(332\) 2.08727 + 0.808612i 0.114554 + 0.0443784i
\(333\) −8.00832 5.00086i −0.438853 0.274046i
\(334\) −0.0184871 + 0.600041i −0.00101157 + 0.0328328i
\(335\) −18.4649 16.8330i −1.00884 0.919684i
\(336\) −0.804311 5.24741i −0.0438787 0.286270i
\(337\) −22.8470 + 18.3849i −1.24456 + 1.00149i −0.245067 + 0.969506i \(0.578810\pi\)
−0.999488 + 0.0319844i \(0.989817\pi\)
\(338\) 0.694438 + 0.716163i 0.0377724 + 0.0389541i
\(339\) 24.8639 + 3.12694i 1.35042 + 0.169832i
\(340\) −19.1573 13.5612i −1.03895 0.735459i
\(341\) 6.94720 + 1.74729i 0.376212 + 0.0946210i
\(342\) 2.19151 2.24290i 0.118503 0.121282i
\(343\) 11.0322 + 2.06228i 0.595683 + 0.111353i
\(344\) −7.49208 + 1.40051i −0.403946 + 0.0755106i
\(345\) 16.0931 + 18.8565i 0.866422 + 1.01520i
\(346\) 4.11485 + 0.509528i 0.221215 + 0.0273924i
\(347\) −3.32201 + 0.620991i −0.178335 + 0.0333365i −0.272159 0.962252i \(-0.587738\pi\)
0.0938246 + 0.995589i \(0.470091\pi\)
\(348\) −5.15302 + 17.9807i −0.276231 + 0.963868i
\(349\) 5.98361 27.3220i 0.320295 1.46251i −0.487538 0.873102i \(-0.662105\pi\)
0.807833 0.589411i \(-0.200640\pi\)
\(350\) −1.42113 + 1.46559i −0.0759626 + 0.0783390i
\(351\) −5.10030 14.7419i −0.272234 0.786866i
\(352\) 6.16126 14.5566i 0.328396 0.775867i
\(353\) 4.08346 8.20069i 0.217340 0.436479i −0.759482 0.650528i \(-0.774548\pi\)
0.976823 + 0.214049i \(0.0686653\pi\)
\(354\) −0.820039 3.77885i −0.0435846 0.200844i
\(355\) 26.5360 45.9616i 1.40838 2.43939i
\(356\) 6.80705 0.360773
\(357\) 3.42706 3.11224i 0.181379 0.164717i
\(358\) 3.06808 4.06280i 0.162153 0.214725i
\(359\) 1.41329 1.64960i 0.0745906 0.0870625i −0.720861 0.693080i \(-0.756253\pi\)
0.795452 + 0.606017i \(0.207234\pi\)
\(360\) 6.85300 9.00327i 0.361185 0.474514i
\(361\) 1.20184 0.967117i 0.0632547 0.0509009i
\(362\) 1.43092 + 4.06067i 0.0752077 + 0.213424i
\(363\) −16.6560 + 28.7225i −0.874214 + 1.50754i
\(364\) −4.46339 2.05349i −0.233945 0.107632i
\(365\) 11.0509 0.578429
\(366\) 3.44025 0.419340i 0.179825 0.0219193i
\(367\) −0.244061 + 0.172767i −0.0127399 + 0.00901838i −0.584126 0.811663i \(-0.698563\pi\)
0.571386 + 0.820681i \(0.306406\pi\)
\(368\) −13.5375 + 0.834967i −0.705693 + 0.0435256i
\(369\) −3.30491 + 20.7681i −0.172047 + 1.08114i
\(370\) −2.56307 1.58698i −0.133248 0.0825034i
\(371\) 0.355485 + 1.24940i 0.0184559 + 0.0648657i
\(372\) −3.97938 + 1.82163i −0.206322 + 0.0944470i
\(373\) 6.51023 15.3810i 0.337087 0.796399i −0.661820 0.749662i \(-0.730216\pi\)
0.998907 0.0467366i \(-0.0148822\pi\)
\(374\) 4.27378 0.798908i 0.220992 0.0413105i
\(375\) 30.9059 + 0.0588958i 1.59598 + 0.00304137i
\(376\) −4.30737 + 0.265670i −0.222136 + 0.0137009i
\(377\) 10.8871 + 12.7075i 0.560716 + 0.654470i
\(378\) 0.709651 + 0.837957i 0.0365005 + 0.0430999i
\(379\) −0.633409 20.5588i −0.0325360 1.05603i −0.864944 0.501869i \(-0.832646\pi\)
0.832408 0.554164i \(-0.186962\pi\)
\(380\) −21.5762 + 22.2512i −1.10684 + 1.14146i
\(381\) 11.5509 7.12162i 0.591772 0.364852i
\(382\) 0.305104 0.314649i 0.0156105 0.0160988i
\(383\) −11.9894 12.3645i −0.612632 0.631798i 0.338359 0.941017i \(-0.390128\pi\)
−0.950991 + 0.309219i \(0.899932\pi\)
\(384\) 3.47982 + 12.3194i 0.177579 + 0.628673i
\(385\) 0.547076 + 17.7566i 0.0278816 + 0.904962i
\(386\) −0.537353 + 2.45363i −0.0273506 + 0.124886i
\(387\) −17.2141 + 15.5730i −0.875041 + 0.791620i
\(388\) −5.44831 + 19.1488i −0.276596 + 0.972135i
\(389\) −29.8450 + 24.0162i −1.51320 + 1.21767i −0.607088 + 0.794635i \(0.707662\pi\)
−0.906114 + 0.423034i \(0.860965\pi\)
\(390\) −1.64642 4.70076i −0.0833697 0.238032i
\(391\) −7.12771 9.43861i −0.360464 0.477331i
\(392\) −6.18062 0.381208i −0.312168 0.0192539i
\(393\) 2.86126 + 0.181951i 0.144332 + 0.00917819i
\(394\) 3.84068 3.50124i 0.193491 0.176390i
\(395\) 25.5736 13.7328i 1.28675 0.690970i
\(396\) −4.77672 31.5654i −0.240039 1.58622i
\(397\) −14.4417 10.2231i −0.724808 0.513081i 0.155292 0.987869i \(-0.450368\pi\)
−0.880100 + 0.474788i \(0.842525\pi\)
\(398\) −5.53318 + 1.76023i −0.277353 + 0.0882324i
\(399\) −3.36695 5.10232i −0.168558 0.255436i
\(400\) −21.1231 + 27.9715i −1.05616 + 1.39858i
\(401\) −19.9582 + 7.73186i −0.996666 + 0.386110i −0.803661 0.595087i \(-0.797117\pi\)
−0.193005 + 0.981198i \(0.561823\pi\)
\(402\) −2.09329 + 1.90099i −0.104404 + 0.0948130i
\(403\) −0.600578 + 3.86899i −0.0299169 + 0.192728i
\(404\) 1.71209 3.43834i 0.0851797 0.171064i
\(405\) 3.44101 34.2876i 0.170985 1.70377i
\(406\) −1.03776 0.557267i −0.0515033 0.0276567i
\(407\) −16.7643 + 4.21638i −0.830973 + 0.208998i
\(408\) −3.52005 + 4.09281i −0.174268 + 0.202624i
\(409\) 6.06609 + 7.08037i 0.299949 + 0.350102i 0.888928 0.458046i \(-0.151451\pi\)
−0.588980 + 0.808148i \(0.700470\pi\)
\(410\) −1.02995 + 6.63508i −0.0508658 + 0.327683i
\(411\) −23.4688 + 2.86067i −1.15763 + 0.141106i
\(412\) −18.8627 5.55123i −0.929299 0.273490i
\(413\) −7.53814 −0.370927
\(414\) 2.29600 1.61221i 0.112842 0.0792356i
\(415\) 4.34843 0.812863i 0.213456 0.0399019i
\(416\) 8.23282 + 2.61905i 0.403647 + 0.128409i
\(417\) −34.6363 + 13.3423i −1.69615 + 0.653376i
\(418\) −0.176805 5.73861i −0.00864781 0.280685i
\(419\) −10.9951 22.0811i −0.537144 1.07873i −0.982997 0.183624i \(-0.941217\pi\)
0.445853 0.895106i \(-0.352900\pi\)
\(420\) −7.04570 8.25557i −0.343795 0.402830i
\(421\) −2.22232 + 14.3164i −0.108309 + 0.697739i 0.870378 + 0.492383i \(0.163874\pi\)
−0.978687 + 0.205355i \(0.934165\pi\)
\(422\) 0.243439 + 2.62712i 0.0118504 + 0.127886i
\(423\) −10.7565 + 7.55296i −0.522997 + 0.367238i
\(424\) −0.590433 1.39495i −0.0286740 0.0677449i
\(425\) −30.5078 1.88166i −1.47985 0.0912739i
\(426\) −4.89556 3.47952i −0.237191 0.168583i
\(427\) 0.623385 6.72740i 0.0301677 0.325562i
\(428\) −15.9733 11.3073i −0.772101 0.546559i
\(429\) −25.9235 11.9866i −1.25160 0.578719i
\(430\) −5.47735 + 4.99326i −0.264141 + 0.240797i
\(431\) −6.05091 17.1712i −0.291462 0.827110i −0.993382 0.114854i \(-0.963360\pi\)
0.701920 0.712256i \(-0.252326\pi\)
\(432\) 13.8602 + 12.7811i 0.666850 + 0.614931i
\(433\) −4.88515 + 0.604913i −0.234765 + 0.0290702i −0.239408 0.970919i \(-0.576953\pi\)
0.00464303 + 0.999989i \(0.498522\pi\)
\(434\) −0.0589623 0.269230i −0.00283028 0.0129235i
\(435\) 10.0483 + 35.5735i 0.481779 + 1.70562i
\(436\) −7.60394 + 1.91247i −0.364163 + 0.0915905i
\(437\) −13.7601 + 7.38900i −0.658233 + 0.353464i
\(438\) 0.117766 1.24506i 0.00562706 0.0594915i
\(439\) −0.229775 7.45787i −0.0109665 0.355945i −0.989037 0.147669i \(-0.952823\pi\)
0.978070 0.208275i \(-0.0667850\pi\)
\(440\) −3.17766 20.4708i −0.151489 0.975908i
\(441\) −16.6492 + 8.85885i −0.792819 + 0.421850i
\(442\) 0.650317 + 2.28563i 0.0309324 + 0.108716i
\(443\) 2.33672 + 1.65413i 0.111021 + 0.0785901i 0.631946 0.775012i \(-0.282256\pi\)
−0.520926 + 0.853602i \(0.674413\pi\)
\(444\) 6.38044 8.41567i 0.302802 0.399390i
\(445\) 11.4377 7.08190i 0.542197 0.335714i
\(446\) 2.07361 + 5.88448i 0.0981884 + 0.278638i
\(447\) 32.6691 10.3243i 1.54519 0.488321i
\(448\) 5.51133 0.339927i 0.260386 0.0160600i
\(449\) −7.45710 + 9.87480i −0.351923 + 0.466021i −0.939203 0.343363i \(-0.888434\pi\)
0.587280 + 0.809384i \(0.300199\pi\)
\(450\) 0.696474 7.21668i 0.0328321 0.340197i
\(451\) 23.2030 + 30.7257i 1.09259 + 1.44682i
\(452\) −5.99676 + 27.3820i −0.282064 + 1.28794i
\(453\) 0.309304 0.407966i 0.0145324 0.0191679i
\(454\) 0.168809 5.47910i 0.00792261 0.257147i
\(455\) −9.63610 + 1.19321i −0.451747 + 0.0559384i
\(456\) 4.62764 + 5.42228i 0.216709 + 0.253922i
\(457\) −5.86059 + 4.14863i −0.274147 + 0.194065i −0.706641 0.707572i \(-0.749790\pi\)
0.432494 + 0.901637i \(0.357634\pi\)
\(458\) −2.13340 3.69515i −0.0996870 0.172663i
\(459\) −2.61475 + 16.2318i −0.122046 + 0.757634i
\(460\) −22.6327 + 16.0214i −1.05526 + 0.747001i
\(461\) 0.147738 0.195637i 0.00688086 0.00911174i −0.794564 0.607181i \(-0.792300\pi\)
0.801445 + 0.598069i \(0.204065\pi\)
\(462\) 2.00641 + 0.127590i 0.0933467 + 0.00593601i
\(463\) 1.29907 + 0.503263i 0.0603730 + 0.0233886i 0.391239 0.920289i \(-0.372047\pi\)
−0.330866 + 0.943678i \(0.607341\pi\)
\(464\) −18.8589 7.30596i −0.875500 0.339171i
\(465\) −4.79125 + 7.20088i −0.222189 + 0.333933i
\(466\) 1.19639 1.58428i 0.0554218 0.0733903i
\(467\) 34.6430 24.5232i 1.60309 1.13480i 0.692550 0.721370i \(-0.256487\pi\)
0.910536 0.413430i \(-0.135669\pi\)
\(468\) 16.9379 4.19148i 0.782956 0.193751i
\(469\) 2.75618 + 4.77385i 0.127269 + 0.220436i
\(470\) −3.42525 + 2.42468i −0.157995 + 0.111842i
\(471\) 13.9271 39.2833i 0.641728 1.81008i
\(472\) 8.72366 1.08022i 0.401539 0.0497213i
\(473\) −1.30880 + 42.4803i −0.0601789 + 1.95325i
\(474\) −1.27469 3.02764i −0.0585486 0.139064i
\(475\) −8.63488 + 39.4281i −0.396196 + 1.80908i
\(476\) 3.12058 + 4.13231i 0.143031 + 0.189404i
\(477\) −3.75520 2.67980i −0.171939 0.122699i
\(478\) −4.03500 + 5.34321i −0.184557 + 0.244393i
\(479\) 28.8203 1.77758i 1.31683 0.0812195i 0.612150 0.790742i \(-0.290305\pi\)
0.704683 + 0.709522i \(0.251089\pi\)
\(480\) 14.0794 + 12.8843i 0.642635 + 0.588085i
\(481\) −3.14010 8.91097i −0.143176 0.406305i
\(482\) −0.787680 + 0.487711i −0.0358778 + 0.0222146i
\(483\) −2.12220 5.04064i −0.0965636 0.229357i
\(484\) −30.3129 21.4581i −1.37786 0.975366i
\(485\) 10.7674 + 37.8435i 0.488922 + 1.71838i
\(486\) −3.82640 0.753080i −0.173569 0.0341604i
\(487\) 2.19553 + 14.1439i 0.0994891 + 0.640919i 0.984505 + 0.175358i \(0.0561083\pi\)
−0.885016 + 0.465561i \(0.845852\pi\)
\(488\) 0.242618 + 7.87475i 0.0109828 + 0.356473i
\(489\) 13.0077 5.95447i 0.588227 0.269270i
\(490\) −5.30516 + 2.84881i −0.239663 + 0.128696i
\(491\) −30.7691 + 7.73873i −1.38859 + 0.349244i −0.864591 0.502476i \(-0.832423\pi\)
−0.523997 + 0.851720i \(0.675560\pi\)
\(492\) −22.8013 5.78099i −1.02796 0.260627i
\(493\) −3.77302 17.2281i −0.169928 0.775916i
\(494\) 3.11421 0.385622i 0.140115 0.0173500i
\(495\) −40.8661 48.0687i −1.83679 2.16053i
\(496\) −1.57276 4.46316i −0.0706189 0.200402i
\(497\) −8.65278 + 7.88805i −0.388130 + 0.353827i
\(498\) −0.0452427 0.498586i −0.00202737 0.0223422i
\(499\) 28.5979 + 20.2440i 1.28022 + 0.906247i 0.998580 0.0532736i \(-0.0169655\pi\)
0.281638 + 0.959521i \(0.409122\pi\)
\(500\) −3.18975 + 34.4229i −0.142650 + 1.53944i
\(501\) −3.77917 + 1.72997i −0.168841 + 0.0772896i
\(502\) 7.81122 + 0.481780i 0.348632 + 0.0215029i
\(503\) −4.55330 10.7576i −0.203021 0.479657i 0.787618 0.616164i \(-0.211314\pi\)
−0.990639 + 0.136507i \(0.956412\pi\)
\(504\) −2.04289 + 1.43448i −0.0909978 + 0.0638968i
\(505\) −0.700403 7.55856i −0.0311675 0.336351i
\(506\) 0.787906 5.07578i 0.0350267 0.225646i
\(507\) −2.30783 + 6.50956i −0.102495 + 0.289100i
\(508\) 6.76578 + 13.5875i 0.300183 + 0.602848i
\(509\) −0.218556 7.09374i −0.00968732 0.314425i −0.991928 0.126801i \(-0.959529\pi\)
0.982241 0.187624i \(-0.0600787\pi\)
\(510\) −0.815114 + 5.18583i −0.0360938 + 0.229633i
\(511\) −2.32329 0.739092i −0.102776 0.0326955i
\(512\) −17.2905 + 3.23215i −0.764138 + 0.142842i
\(513\) 20.6509 + 6.69979i 0.911762 + 0.295803i
\(514\) 3.90773 0.172363
\(515\) −37.4698 + 10.2968i −1.65112 + 0.453730i
\(516\) −15.6081 20.7505i −0.687107 0.913491i
\(517\) −3.69123 + 23.7793i −0.162340 + 1.04581i
\(518\) 0.432711 + 0.505062i 0.0190122 + 0.0221911i
\(519\) 9.48909 + 27.0927i 0.416525 + 1.18924i
\(520\) 10.9806 2.76173i 0.481530 0.121110i
\(521\) 23.4405 + 12.5873i 1.02695 + 0.551459i 0.897909 0.440181i \(-0.145086\pi\)
0.129038 + 0.991640i \(0.458811\pi\)
\(522\) 4.11503 0.753013i 0.180110 0.0329585i
\(523\) 19.3627 38.8855i 0.846672 1.70035i 0.143116 0.989706i \(-0.454288\pi\)
0.703555 0.710640i \(-0.251595\pi\)
\(524\) −0.491923 + 3.16902i −0.0214898 + 0.138439i
\(525\) −13.4606 4.31039i −0.587468 0.188121i
\(526\) −3.05562 + 1.18375i −0.133231 + 0.0516141i
\(527\) 2.48683 3.29309i 0.108328 0.143449i
\(528\) 34.4576 2.05937i 1.49958 0.0896224i
\(529\) 8.60195 2.73648i 0.373998 0.118977i
\(530\) −1.20226 0.851064i −0.0522230 0.0369679i
\(531\) 20.9210 16.7041i 0.907894 0.724896i
\(532\) 6.02428 3.23497i 0.261186 0.140254i
\(533\) −15.5517 + 14.1772i −0.673619 + 0.614085i
\(534\) −0.676007 1.36411i −0.0292537 0.0590310i
\(535\) −38.6034 2.38097i −1.66897 0.102938i
\(536\) −3.87375 5.12967i −0.167320 0.221568i
\(537\) 34.6354 + 6.54280i 1.49463 + 0.282343i
\(538\) −5.48752 + 4.41579i −0.236584 + 0.190378i
\(539\) −9.44943 + 33.2113i −0.407016 + 1.43051i
\(540\) 37.8482 + 7.29924i 1.62873 + 0.314109i
\(541\) 8.78294 40.1041i 0.377608 1.72421i −0.270551 0.962706i \(-0.587206\pi\)
0.648159 0.761505i \(-0.275539\pi\)
\(542\) 0.0453834 + 1.47302i 0.00194938 + 0.0632718i
\(543\) −20.7912 + 21.3601i −0.892236 + 0.916648i
\(544\) −6.33868 6.53698i −0.271769 0.280271i
\(545\) −10.7870 + 11.1244i −0.462063 + 0.476518i
\(546\) 0.0317458 + 1.09838i 0.00135860 + 0.0470064i
\(547\) −4.70015 + 4.84719i −0.200964 + 0.207251i −0.810876 0.585218i \(-0.801009\pi\)
0.609912 + 0.792469i \(0.291205\pi\)
\(548\) −0.814397 26.4332i −0.0347893 1.12917i
\(549\) 13.1774 + 20.0523i 0.562399 + 0.855811i
\(550\) −8.63653 10.0806i −0.368263 0.429838i
\(551\) −23.2450 + 1.43370i −0.990269 + 0.0610777i
\(552\) 3.17829 + 5.52927i 0.135277 + 0.235341i
\(553\) −6.29496 + 1.17673i −0.267689 + 0.0500398i
\(554\) 0.265697 0.627734i 0.0112884 0.0266699i
\(555\) 1.96537 20.7786i 0.0834252 0.882004i
\(556\) −11.3620 39.9332i −0.481855 1.69354i
\(557\) 25.5285 + 15.8066i 1.08168 + 0.669746i 0.947029 0.321148i \(-0.104069\pi\)
0.134647 + 0.990894i \(0.457010\pi\)
\(558\) 0.760241 + 0.616552i 0.0321836 + 0.0261007i
\(559\) −23.1851 + 1.43001i −0.980623 + 0.0604828i
\(560\) 9.57840 6.78041i 0.404761 0.286524i
\(561\) 18.0945 + 24.0562i 0.763951 + 1.01565i
\(562\) 5.23451 0.220804
\(563\) 7.63493 + 3.51263i 0.321774 + 0.148040i 0.572241 0.820086i \(-0.306074\pi\)
−0.250467 + 0.968125i \(0.580584\pi\)
\(564\) −7.32660 12.7461i −0.308505 0.536706i
\(565\) 18.4115 + 52.2480i 0.774577 + 2.19809i
\(566\) −1.66720 + 1.34159i −0.0700775 + 0.0563911i
\(567\) −3.01661 + 6.97836i −0.126686 + 0.293064i
\(568\) 8.88323 10.3686i 0.372732 0.435055i
\(569\) 1.10671 1.46552i 0.0463956 0.0614377i −0.774228 0.632907i \(-0.781862\pi\)
0.820624 + 0.571469i \(0.193626\pi\)
\(570\) 6.60181 + 2.11405i 0.276519 + 0.0885478i
\(571\) 11.5598 0.483764 0.241882 0.970306i \(-0.422235\pi\)
0.241882 + 0.970306i \(0.422235\pi\)
\(572\) 15.9735 27.6668i 0.667884 1.15681i
\(573\) 2.88987 + 0.925400i 0.120726 + 0.0386592i
\(574\) 0.660294 1.32605i 0.0275601 0.0553482i
\(575\) −14.0755 + 33.2547i −0.586990 + 1.38682i
\(576\) −14.5426 + 13.1562i −0.605943 + 0.548176i
\(577\) −13.0960 + 13.5057i −0.545195 + 0.562251i −0.933178 0.359415i \(-0.882976\pi\)
0.387982 + 0.921667i \(0.373172\pi\)
\(578\) −0.374033 + 1.70789i −0.0155577 + 0.0710387i
\(579\) −16.8729 + 4.20954i −0.701216 + 0.174943i
\(580\) −40.6443 + 7.59773i −1.68766 + 0.315479i
\(581\) −0.968563 0.119934i −0.0401828 0.00497570i
\(582\) 4.37844 0.809841i 0.181492 0.0335690i
\(583\) −8.30270 + 1.55204i −0.343863 + 0.0642791i
\(584\) 2.79459 + 0.522399i 0.115641 + 0.0216170i
\(585\) 24.0995 24.6646i 0.996392 1.01976i
\(586\) 7.96412 + 2.00306i 0.328995 + 0.0827455i
\(587\) −16.6092 11.7574i −0.685536 0.485281i 0.181587 0.983375i \(-0.441877\pi\)
−0.867123 + 0.498094i \(0.834033\pi\)
\(588\) −8.18567 19.4425i −0.337571 0.801797i
\(589\) −3.79339 3.91206i −0.156304 0.161194i
\(590\) 6.65956 5.35893i 0.274170 0.220623i
\(591\) 33.5269 + 13.0619i 1.37911 + 0.537296i
\(592\) 8.43887 + 7.69304i 0.346835 + 0.316182i
\(593\) 1.04167 33.8098i 0.0427762 1.38840i −0.697734 0.716357i \(-0.745808\pi\)
0.740510 0.672045i \(-0.234584\pi\)
\(594\) −5.85123 + 4.09199i −0.240079 + 0.167896i
\(595\) 9.54257 + 3.69681i 0.391207 + 0.151555i
\(596\) 8.19875 + 37.4366i 0.335834 + 1.53346i
\(597\) −27.9297 28.9135i −1.14309 1.18335i
\(598\) 2.80212 + 0.172829i 0.114587 + 0.00706750i
\(599\) 16.5643 19.3340i 0.676800 0.789965i −0.310202 0.950671i \(-0.600397\pi\)
0.987002 + 0.160706i \(0.0513771\pi\)
\(600\) 16.1952 + 3.05936i 0.661167 + 0.124898i
\(601\) −0.580852 + 18.8529i −0.0236934 + 0.769026i 0.910759 + 0.412938i \(0.135497\pi\)
−0.934453 + 0.356088i \(0.884110\pi\)
\(602\) 1.48549 0.683434i 0.0605441 0.0278547i
\(603\) −18.2280 7.14157i −0.742301 0.290827i
\(604\) 0.423204 + 0.385801i 0.0172199 + 0.0156980i
\(605\) −73.2583 4.51842i −2.97837 0.183700i
\(606\) −0.859061 0.00163707i −0.0348970 6.65014e-5i
\(607\) −16.3006 + 6.31490i −0.661622 + 0.256314i −0.668556 0.743662i \(-0.733087\pi\)
0.00693334 + 0.999976i \(0.497793\pi\)
\(608\) −9.81395 + 6.94715i −0.398008 + 0.281744i
\(609\) 0.266674 8.15088i 0.0108062 0.330290i
\(610\) 4.23184 + 6.38648i 0.171342 + 0.258581i
\(611\) −13.1276 0.809680i −0.531084 0.0327562i
\(612\) −17.8177 4.55360i −0.720238 0.184069i
\(613\) 8.12774 + 8.38201i 0.328276 + 0.338546i 0.861809 0.507233i \(-0.169332\pi\)
−0.533532 + 0.845780i \(0.679136\pi\)
\(614\) −2.74876 0.874443i −0.110931 0.0352896i
\(615\) −44.3268 + 14.0084i −1.78743 + 0.564873i
\(616\) −0.701049 + 4.51623i −0.0282461 + 0.181964i
\(617\) 11.5151 + 19.9448i 0.463582 + 0.802948i 0.999136 0.0415528i \(-0.0132305\pi\)
−0.535554 + 0.844501i \(0.679897\pi\)
\(618\) 0.760800 + 4.33132i 0.0306039 + 0.174231i
\(619\) 13.0189 22.5495i 0.523275 0.906339i −0.476358 0.879252i \(-0.658043\pi\)
0.999633 0.0270878i \(-0.00862337\pi\)
\(620\) −7.53738 6.06531i −0.302709 0.243589i
\(621\) 17.0597 + 9.28689i 0.684581 + 0.372670i
\(622\) −1.14473 5.22698i −0.0458993 0.209583i
\(623\) −2.87826 + 0.723910i −0.115315 + 0.0290029i
\(624\) 2.85848 + 18.6490i 0.114431 + 0.746558i
\(625\) 8.92344 + 17.9207i 0.356937 + 0.716827i
\(626\) −5.35887 + 0.330524i −0.214183 + 0.0132104i
\(627\) 35.0557 18.7386i 1.39999 0.748346i
\(628\) 42.3534 + 19.4856i 1.69008 + 0.777562i
\(629\) −1.52745 + 9.84002i −0.0609036 + 0.392347i
\(630\) −0.954685 + 2.23180i −0.0380356 + 0.0889169i
\(631\) −0.178710 0.358899i −0.00711435 0.0142875i 0.891578 0.452868i \(-0.149599\pi\)
−0.898692 + 0.438580i \(0.855481\pi\)
\(632\) 7.11635 2.26387i 0.283073 0.0900520i
\(633\) −15.5489 + 9.58651i −0.618012 + 0.381029i
\(634\) −1.54932 1.09674i −0.0615313 0.0435571i
\(635\) 25.5045 + 15.7917i 1.01211 + 0.626674i
\(636\) 3.36486 3.91237i 0.133425 0.155135i
\(637\) −18.5511 3.46780i −0.735022 0.137399i
\(638\) 4.23072 6.38480i 0.167496 0.252777i
\(639\) 6.53504 41.0662i 0.258522 1.62455i
\(640\) −20.9132 + 19.0649i −0.826665 + 0.753605i
\(641\) 19.1773 15.4319i 0.757459 0.609525i −0.169133 0.985593i \(-0.554097\pi\)
0.926592 + 0.376068i \(0.122724\pi\)
\(642\) −0.679640 + 4.32394i −0.0268233 + 0.170652i
\(643\) 29.5618 15.8744i 1.16581 0.626024i 0.228162 0.973623i \(-0.426728\pi\)
0.937643 + 0.347599i \(0.113003\pi\)
\(644\) 5.82975 1.85458i 0.229724 0.0730805i
\(645\) −47.8141 18.6281i −1.88268 0.733483i
\(646\) −3.08398 1.19474i −0.121338 0.0470065i
\(647\) 20.2063 5.08208i 0.794390 0.199797i 0.174677 0.984626i \(-0.444112\pi\)
0.619713 + 0.784828i \(0.287249\pi\)
\(648\) 2.49103 8.50813i 0.0978569 0.334231i
\(649\) 4.52261 48.8067i 0.177528 1.91583i
\(650\) 5.05062 5.20862i 0.198102 0.204299i
\(651\) 1.48890 1.19344i 0.0583544 0.0467747i
\(652\) 5.31832 + 15.0923i 0.208282 + 0.591060i
\(653\) 5.34543 15.1692i 0.209183 0.593618i −0.790643 0.612277i \(-0.790254\pi\)
0.999826 + 0.0186595i \(0.00593985\pi\)
\(654\) 1.13840 + 1.33388i 0.0445149 + 0.0521589i
\(655\) 2.47042 + 5.83659i 0.0965272 + 0.228055i
\(656\) 8.45323 23.9885i 0.330043 0.936594i
\(657\) 8.08575 3.09705i 0.315455 0.120827i
\(658\) 0.882275 0.280672i 0.0343947 0.0109417i
\(659\) −1.80235 6.33459i −0.0702095 0.246761i 0.918775 0.394782i \(-0.129180\pi\)
−0.988984 + 0.148022i \(0.952709\pi\)
\(660\) 57.6790 40.6653i 2.24515 1.58290i
\(661\) 14.6663 1.81609i 0.570455 0.0706376i 0.167524 0.985868i \(-0.446423\pi\)
0.402931 + 0.915230i \(0.367992\pi\)
\(662\) −0.0830944 0.125402i −0.00322955 0.00487389i
\(663\) −12.1796 + 11.0607i −0.473016 + 0.429564i
\(664\) 1.13808 0.0441659
\(665\) 6.75682 11.7031i 0.262018 0.453829i
\(666\) −2.32012 0.442863i −0.0899026 0.0171606i
\(667\) −20.6780 2.56050i −0.800657 0.0991428i
\(668\) −1.54515 4.38483i −0.0597838 0.169654i
\(669\) −30.1294 + 30.9538i −1.16487 + 1.19674i
\(670\) −5.82872 2.25806i −0.225183 0.0872363i
\(671\) 43.1834 + 8.07238i 1.66708 + 0.311631i
\(672\) −2.09829 3.65039i −0.0809433 0.140817i
\(673\) 3.55701 + 38.3863i 0.137113 + 1.47968i 0.734980 + 0.678088i \(0.237191\pi\)
−0.597868 + 0.801595i \(0.703985\pi\)
\(674\) −3.66823 + 6.35357i −0.141295 + 0.244730i
\(675\) 46.9095 17.8651i 1.80555 0.687627i
\(676\) −7.01829 3.22893i −0.269934 0.124189i
\(677\) 1.50433 3.02110i 0.0578161 0.116110i −0.864371 0.502855i \(-0.832283\pi\)
0.922187 + 0.386745i \(0.126401\pi\)
\(678\) 6.08282 1.51757i 0.233609 0.0582820i
\(679\) 0.267311 8.67620i 0.0102584 0.332962i
\(680\) −11.5731 2.91075i −0.443808 0.111622i
\(681\) 34.5083 15.7967i 1.32236 0.605333i
\(682\) 1.77854 0.220231i 0.0681039 0.00843309i
\(683\) 10.8348 30.7470i 0.414582 1.17650i −0.529935 0.848038i \(-0.677784\pi\)
0.944517 0.328461i \(-0.106530\pi\)
\(684\) −9.55100 + 22.3277i −0.365192 + 0.853720i
\(685\) −28.8689 43.5675i −1.10302 1.66463i
\(686\) 2.75996 0.515925i 0.105376 0.0196981i
\(687\) 16.3642 24.5941i 0.624333 0.938325i
\(688\) 23.8701 14.7798i 0.910040 0.563473i
\(689\) −1.26338 4.44030i −0.0481308 0.169162i
\(690\) 5.45830 + 2.94446i 0.207794 + 0.112094i
\(691\) −4.71586 1.18609i −0.179400 0.0451208i 0.153168 0.988200i \(-0.451052\pi\)
−0.332568 + 0.943079i \(0.607915\pi\)
\(692\) −31.1402 + 7.83207i −1.18377 + 0.297731i
\(693\) 5.37665 + 12.8389i 0.204242 + 0.487711i
\(694\) −0.718834 + 0.445083i −0.0272866 + 0.0168951i
\(695\) −60.6368 55.2777i −2.30008 2.09680i
\(696\) 0.859416 + 9.47099i 0.0325761 + 0.358997i
\(697\) 21.5096 5.40989i 0.814736 0.204914i
\(698\) −1.07331 6.91441i −0.0406255 0.261714i
\(699\) 13.5060 + 2.55135i 0.510843 + 0.0965010i
\(700\) 6.16239 14.5592i 0.232917 0.550287i
\(701\) −9.34492 + 14.1029i −0.352953 + 0.532659i −0.966389 0.257085i \(-0.917238\pi\)
0.613436 + 0.789744i \(0.289787\pi\)
\(702\) −2.52206 2.97806i −0.0951891 0.112399i
\(703\) 12.5307 + 3.98630i 0.472604 + 0.150346i
\(704\) −1.10569 + 35.8878i −0.0416723 + 1.35257i
\(705\) −25.5714 13.7944i −0.963074 0.519527i
\(706\) 0.211466 2.28208i 0.00795863 0.0858873i
\(707\) −0.358273 + 1.63593i −0.0134742 + 0.0615253i
\(708\) 16.4934 + 24.9943i 0.619859 + 0.939344i
\(709\) −22.1325 2.74060i −0.831203 0.102925i −0.304008 0.952669i \(-0.598325\pi\)
−0.527195 + 0.849744i \(0.676756\pi\)
\(710\) 2.03660 13.1200i 0.0764324 0.492386i
\(711\) 14.8632 17.2152i 0.557413 0.645619i
\(712\) 3.22718 1.25022i 0.120944 0.0468539i
\(713\) −2.69290 4.06399i −0.100850 0.152198i
\(714\) 0.518200 1.03573i 0.0193931 0.0387614i
\(715\) −1.94428 63.1061i −0.0727119 2.36003i
\(716\) −10.7898 + 37.9220i −0.403232 + 1.41721i
\(717\) −45.5509 8.60480i −1.70113 0.321352i
\(718\) 0.180612 0.512540i 0.00674038 0.0191278i
\(719\) 23.4936 + 18.9052i 0.876164 + 0.705046i 0.956503 0.291721i \(-0.0942280\pi\)
−0.0803397 + 0.996768i \(0.525601\pi\)
\(720\) −11.5584 + 40.0432i −0.430757 + 1.49232i
\(721\) 8.56616 + 0.341259i 0.319020 + 0.0127091i
\(722\) 0.192963 0.334222i 0.00718134 0.0124384i
\(723\) −5.44700 3.38701i −0.202576 0.125964i
\(724\) −21.6932 25.3204i −0.806221 0.941025i
\(725\) −39.7927 + 36.2758i −1.47786 + 1.34725i
\(726\) −1.28977 + 8.20561i −0.0478677 + 0.304539i
\(727\) −1.42766 + 0.883971i −0.0529491 + 0.0327847i −0.552651 0.833413i \(-0.686384\pi\)
0.499702 + 0.866197i \(0.333443\pi\)
\(728\) −2.49322 0.153777i −0.0924050 0.00569934i
\(729\) −7.09149 26.0521i −0.262648 0.964892i
\(730\) 2.57794 0.998698i 0.0954137 0.0369635i
\(731\) 22.2415 + 10.2327i 0.822633 + 0.378471i
\(732\) −23.6701 + 12.6525i −0.874872 + 0.467651i
\(733\) 30.1943 39.9837i 1.11525 1.47683i 0.255015 0.966937i \(-0.417920\pi\)
0.860237 0.509895i \(-0.170316\pi\)
\(734\) −0.0413209 + 0.0623595i −0.00152518 + 0.00230173i
\(735\) −33.9817 24.1525i −1.25343 0.890878i
\(736\) −9.77275 + 4.49618i −0.360228 + 0.165731i
\(737\) −32.5625 + 14.9811i −1.19946 + 0.551838i
\(738\) 1.10590 + 5.14343i 0.0407088 + 0.189332i
\(739\) −19.7728 6.29017i −0.727353 0.231388i −0.0834686 0.996510i \(-0.526600\pi\)
−0.643884 + 0.765123i \(0.722678\pi\)
\(740\) 22.9485 + 4.28982i 0.843604 + 0.157697i
\(741\) 11.9659 + 18.1334i 0.439580 + 0.666146i
\(742\) 0.195839 + 0.259333i 0.00718948 + 0.00952041i
\(743\) 5.24408 + 1.66826i 0.192387 + 0.0612026i 0.397798 0.917473i \(-0.369775\pi\)
−0.205411 + 0.978676i \(0.565853\pi\)
\(744\) −1.55203 + 1.59450i −0.0569003 + 0.0584571i
\(745\) 52.7243 + 54.3738i 1.93167 + 1.99210i
\(746\) 0.128674 4.17642i 0.00471109 0.152910i
\(747\) 2.95387 1.81342i 0.108077 0.0663497i
\(748\) −28.6275 + 17.7254i −1.04672 + 0.648104i
\(749\) 7.95658 + 3.08240i 0.290727 + 0.112628i
\(750\) 7.21503 2.77932i 0.263456 0.101486i
\(751\) −7.86503 + 8.11109i −0.286999 + 0.295978i −0.845993 0.533194i \(-0.820992\pi\)
0.558994 + 0.829172i \(0.311188\pi\)
\(752\) 14.4414 6.64410i 0.526624 0.242285i
\(753\) 21.0247 + 49.9377i 0.766182 + 1.81983i
\(754\) 3.68815 + 1.98050i 0.134315 + 0.0721254i
\(755\) 1.11248 + 0.207958i 0.0404871 + 0.00756835i
\(756\) −7.46888 4.06589i −0.271641 0.147875i
\(757\) 12.5669 + 18.9654i 0.456752 + 0.689308i 0.987393 0.158289i \(-0.0505977\pi\)
−0.530641 + 0.847597i \(0.678049\pi\)
\(758\) −2.00571 4.73869i −0.0728508 0.172117i
\(759\) 33.9096 10.7163i 1.23084 0.388977i
\(760\) −6.14239 + 14.5120i −0.222808 + 0.526404i
\(761\) 6.68238 + 6.09180i 0.242236 + 0.220828i 0.785704 0.618602i \(-0.212301\pi\)
−0.543468 + 0.839430i \(0.682889\pi\)
\(762\) 2.05099 2.70522i 0.0742996 0.0979996i
\(763\) 3.01182 1.61731i 0.109035 0.0585507i
\(764\) −1.32301 + 3.12573i −0.0478648 + 0.113085i
\(765\) −34.6760 + 10.8859i −1.25371 + 0.393579i
\(766\) −3.91430 1.80087i −0.141430 0.0650679i
\(767\) 26.7901 0.967335
\(768\) −11.6867 15.5371i −0.421707 0.560648i
\(769\) −46.8595 21.5588i −1.68980 0.777430i −0.998494 0.0548637i \(-0.982528\pi\)
−0.691302 0.722566i \(-0.742963\pi\)
\(770\) 1.73234 + 4.09281i 0.0624291 + 0.147495i
\(771\) 12.0132 + 24.2415i 0.432645 + 0.873035i
\(772\) −2.98378 19.2218i −0.107388 0.691808i
\(773\) 41.8150 33.6484i 1.50398 1.21025i 0.588110 0.808781i \(-0.299872\pi\)
0.915873 0.401469i \(-0.131500\pi\)
\(774\) −2.60831 + 5.18854i −0.0937538 + 0.186498i
\(775\) −12.5034 1.54826i −0.449137 0.0556152i
\(776\) 0.933958 + 10.0790i 0.0335271 + 0.361815i
\(777\) −1.80289 + 4.23697i −0.0646782 + 0.152001i
\(778\) −4.79180 + 8.29965i −0.171795 + 0.297557i
\(779\) −2.70239 29.1634i −0.0968231 1.04489i
\(780\) 25.0400 + 29.3398i 0.896577 + 1.05053i
\(781\) −45.8809 60.7561i −1.64175 2.17402i
\(782\) −2.51574 1.55768i −0.0899626 0.0557025i
\(783\) 17.3218 + 23.2125i 0.619030 + 0.829548i
\(784\) 21.7364 6.91484i 0.776299 0.246958i
\(785\) 91.4374 11.3224i 3.26354 0.404114i
\(786\) 0.683916 0.216135i 0.0243945 0.00770928i
\(787\) 34.5553 + 4.27888i 1.23176 + 0.152526i 0.712244 0.701932i \(-0.247679\pi\)
0.519521 + 0.854458i \(0.326110\pi\)
\(788\) −17.9399 + 36.0282i −0.639083 + 1.28345i
\(789\) −16.7370 15.3163i −0.595853 0.545274i
\(790\) 4.72473 5.51473i 0.168098 0.196205i
\(791\) −0.376365 12.2158i −0.0133820 0.434344i
\(792\) −8.06207 14.0876i −0.286473 0.500582i
\(793\) −2.21548 + 23.9088i −0.0786739 + 0.849027i
\(794\) −4.29283 1.07969i −0.152347 0.0383168i
\(795\) 1.58353 10.0746i 0.0561619 0.357308i
\(796\) 35.0326 28.1907i 1.24170 0.999191i
\(797\) 6.59648 + 3.54224i 0.233659 + 0.125472i 0.585745 0.810495i \(-0.300802\pi\)
−0.352086 + 0.935968i \(0.614527\pi\)
\(798\) −1.24655 0.885985i −0.0441274 0.0313635i
\(799\) 11.7859 + 7.29752i 0.416955 + 0.258168i
\(800\) −7.60790 + 26.7390i −0.268980 + 0.945366i
\(801\) 6.38403 8.38717i 0.225569 0.296346i
\(802\) −3.95709 + 3.60736i −0.139730 + 0.127380i
\(803\) 6.17924 14.5990i 0.218061 0.515189i
\(804\) 9.79822 19.5839i 0.345557 0.690670i
\(805\) 7.86608 9.18132i 0.277243 0.323599i
\(806\) 0.209549 + 0.956829i 0.00738104 + 0.0337029i
\(807\) −44.2630 20.4665i −1.55813 0.720455i
\(808\) 0.180189 1.94455i 0.00633903 0.0684090i
\(809\) 32.2730 + 22.8456i 1.13466 + 0.803208i 0.982705 0.185180i \(-0.0592869\pi\)
0.151953 + 0.988388i \(0.451444\pi\)
\(810\) −2.29595 8.30956i −0.0806715 0.291968i
\(811\) −12.7870 25.6799i −0.449014 0.901742i −0.997833 0.0658004i \(-0.979040\pi\)
0.548819 0.835941i \(-0.315078\pi\)
\(812\) 9.05304 + 1.12101i 0.317699 + 0.0393397i
\(813\) −8.99833 + 4.80993i −0.315585 + 0.168692i
\(814\) −3.52970 + 2.49863i −0.123716 + 0.0875768i
\(815\) 24.6379 + 19.8261i 0.863028 + 0.694476i
\(816\) 6.64455 18.7419i 0.232606 0.656096i
\(817\) 17.8577 26.9500i 0.624762 0.942860i
\(818\) 2.05496 + 1.10349i 0.0718501 + 0.0385827i
\(819\) −6.71618 + 3.57360i −0.234682 + 0.124872i
\(820\) −11.1244 50.7956i −0.388481 1.77386i
\(821\) −6.96927 + 19.7773i −0.243229 + 0.690234i 0.756129 + 0.654422i \(0.227088\pi\)
−0.999359 + 0.0358120i \(0.988598\pi\)
\(822\) −5.21625 + 2.78828i −0.181938 + 0.0972523i
\(823\) −5.75661 9.97074i −0.200663 0.347558i 0.748079 0.663609i \(-0.230976\pi\)
−0.948742 + 0.316051i \(0.897643\pi\)
\(824\) −9.96226 + 0.832612i −0.347052 + 0.0290054i
\(825\) 35.9840 84.5663i 1.25280 2.94422i
\(826\) −1.75849 + 0.681242i −0.0611857 + 0.0237035i
\(827\) 6.38584 1.19372i 0.222057 0.0415097i −0.0715449 0.997437i \(-0.522793\pi\)
0.293602 + 0.955928i \(0.405146\pi\)
\(828\) −12.0700 + 18.0655i −0.419461 + 0.627820i
\(829\) 15.5783 + 16.0657i 0.541057 + 0.557984i 0.932013 0.362426i \(-0.118051\pi\)
−0.390955 + 0.920410i \(0.627855\pi\)
\(830\) 0.940938 0.582604i 0.0326604 0.0202225i
\(831\) 4.71094 0.281550i 0.163421 0.00976687i
\(832\) −19.5870 + 1.20808i −0.679055 + 0.0418827i
\(833\) 15.4965 + 12.4700i 0.536923 + 0.432060i
\(834\) −6.87414 + 6.24266i −0.238032 + 0.216166i
\(835\) −7.15815 5.76014i −0.247718 0.199338i
\(836\) 17.3309 + 40.9459i 0.599402 + 1.41614i
\(837\) −1.48761 + 6.61154i −0.0514193 + 0.228528i
\(838\) −4.56044 4.15739i −0.157538 0.143615i
\(839\) −19.1251 + 8.79894i −0.660272 + 0.303773i −0.719522 0.694470i \(-0.755639\pi\)
0.0592501 + 0.998243i \(0.481129\pi\)
\(840\) −4.85658 2.61987i −0.167568 0.0903940i
\(841\) −1.75919 1.08924i −0.0606617 0.0375601i
\(842\) 0.775393 + 3.54055i 0.0267218 + 0.122016i
\(843\) 16.0920 + 32.4721i 0.554239 + 1.11840i
\(844\) −9.10750 18.2903i −0.313493 0.629579i
\(845\) −15.1519 + 1.87621i −0.521241 + 0.0645437i
\(846\) −1.82667 + 2.73404i −0.0628023 + 0.0939982i
\(847\) 15.0993 + 5.84951i 0.518819 + 0.200992i
\(848\) 3.88420 + 4.00571i 0.133384 + 0.137557i
\(849\) −13.4478 6.21805i −0.461528 0.213403i
\(850\) −7.28689 + 2.31813i −0.249938 + 0.0795111i
\(851\) 10.3646 + 5.56565i 0.355292 + 0.190788i
\(852\) 45.0867 + 11.4312i 1.54465 + 0.391625i
\(853\) 15.0546 52.9114i 0.515459 1.81165i −0.0656725 0.997841i \(-0.520919\pi\)
0.581132 0.813810i \(-0.302610\pi\)
\(854\) −0.462551 1.62570i −0.0158282 0.0556302i
\(855\) 7.18098 + 47.4531i 0.245584 + 1.62286i
\(856\) −9.64962 2.42698i −0.329817 0.0829524i
\(857\) −0.0428529 0.0230115i −0.00146383 0.000786058i 0.472361 0.881405i \(-0.343402\pi\)
−0.473825 + 0.880619i \(0.657127\pi\)
\(858\) −7.13068 0.453447i −0.243437 0.0154804i
\(859\) −10.9774 + 31.1517i −0.374545 + 1.06288i 0.591901 + 0.806011i \(0.298378\pi\)
−0.966446 + 0.256871i \(0.917309\pi\)
\(860\) 25.5849 51.3814i 0.872437 1.75209i
\(861\) 10.2560 + 0.0195443i 0.349523 + 0.000666068i
\(862\) −2.96336 3.45885i −0.100933 0.117809i
\(863\) −26.9738 35.7191i −0.918198 1.21589i −0.976046 0.217566i \(-0.930188\pi\)
0.0578475 0.998325i \(-0.481576\pi\)
\(864\) 13.9126 + 5.48144i 0.473315 + 0.186482i
\(865\) −44.1755 + 45.5575i −1.50201 + 1.54900i
\(866\) −1.08494 + 0.582598i −0.0368676 + 0.0197975i
\(867\) −11.7447 + 2.93012i −0.398870 + 0.0995120i
\(868\) 1.17898 + 1.77925i 0.0400171 + 0.0603918i
\(869\) −3.84217 41.4636i −0.130337 1.40656i
\(870\) 5.55894 + 7.39047i 0.188466 + 0.250560i
\(871\) −9.79532 16.9660i −0.331902 0.574871i
\(872\) −3.25373 + 2.30327i −0.110185 + 0.0779984i
\(873\) 18.4841 + 24.6719i 0.625592 + 0.835016i
\(874\) −2.54217 + 2.96723i −0.0859902 + 0.100368i
\(875\) −2.31204 14.8944i −0.0781612 0.503523i
\(876\) 2.63272 + 9.32050i 0.0889515 + 0.314911i
\(877\) 10.6333 + 1.98771i 0.359061 + 0.0671202i 0.360189 0.932879i \(-0.382712\pi\)
−0.00112819 + 0.999999i \(0.500359\pi\)
\(878\) −0.727590 1.71900i −0.0245550 0.0580134i
\(879\) 12.0576 + 55.5629i 0.406691 + 1.87409i
\(880\) 38.1540 + 66.0846i 1.28617 + 2.22771i
\(881\) −10.6620 18.4671i −0.359212 0.622173i 0.628617 0.777715i \(-0.283621\pi\)
−0.987829 + 0.155541i \(0.950288\pi\)
\(882\) −3.08331 + 3.57122i −0.103821 + 0.120249i
\(883\) −8.81746 + 0.543842i −0.296731 + 0.0183017i −0.209243 0.977864i \(-0.567100\pi\)
−0.0874886 + 0.996166i \(0.527884\pi\)
\(884\) −11.0904 14.6860i −0.373009 0.493944i
\(885\) 53.7168 + 24.8378i 1.80567 + 0.834914i
\(886\) 0.694596 + 0.174698i 0.0233354 + 0.00586909i
\(887\) 10.7219 + 9.77427i 0.360005 + 0.328188i 0.833408 0.552658i \(-0.186386\pi\)
−0.473403 + 0.880846i \(0.656975\pi\)
\(888\) 1.47926 5.16168i 0.0496408 0.173215i
\(889\) −4.30580 5.02575i −0.144412 0.168558i
\(890\) 2.02816 2.68571i 0.0679840 0.0900253i
\(891\) −43.3725 23.7182i −1.45303 0.794591i
\(892\) −31.4365 36.6928i −1.05257 1.22857i
\(893\) 11.9097 13.9011i 0.398544 0.465182i
\(894\) 6.68798 5.36083i 0.223679 0.179293i
\(895\) 21.3236 + 74.9446i 0.712768 + 2.50512i
\(896\) 5.67178 2.60943i 0.189481 0.0871750i
\(897\) 7.54220 + 17.9142i 0.251827 + 0.598137i
\(898\) −0.847173 + 2.97750i −0.0282705 + 0.0993606i
\(899\) −1.11509 7.18355i −0.0371904 0.239585i
\(900\) 15.1596 + 54.0626i 0.505321 + 1.80209i
\(901\) −1.04092 + 4.75300i −0.0346782 + 0.158345i
\(902\) 8.18953 + 5.07074i 0.272682 + 0.168837i
\(903\) 8.80638 + 7.11416i 0.293058 + 0.236744i
\(904\) 2.18609 + 14.0831i 0.0727084 + 0.468395i
\(905\) −62.7931 19.9759i −2.08731 0.664022i
\(906\) 0.0352852 0.123123i 0.00117227 0.00409048i
\(907\) −9.31770 18.7125i −0.309389 0.621337i 0.684831 0.728702i \(-0.259876\pi\)
−0.994220 + 0.107365i \(0.965759\pi\)
\(908\) 14.1091 + 40.0388i 0.468227 + 1.32873i
\(909\) −2.63079 5.33419i −0.0872577 0.176924i
\(910\) −2.14007 + 1.14919i −0.0709425 + 0.0380953i
\(911\) 3.08967 33.3429i 0.102365 1.10470i −0.777308 0.629121i \(-0.783415\pi\)
0.879673 0.475579i \(-0.157761\pi\)
\(912\) −23.1101 12.4666i −0.765251 0.412812i
\(913\) 1.35763 6.19914i 0.0449311 0.205161i
\(914\) −0.992230 + 1.49743i −0.0328201 + 0.0495304i
\(915\) −26.6087 + 45.8855i −0.879657 + 1.51693i
\(916\) 25.7434 + 20.7157i 0.850587 + 0.684464i
\(917\) −0.129014 1.39229i −0.00426043 0.0459774i
\(918\) 0.856942 + 4.02283i 0.0282833 + 0.132773i
\(919\) −23.5023 + 47.1990i −0.775269 + 1.55695i 0.0542856 + 0.998525i \(0.482712\pi\)
−0.829555 + 0.558425i \(0.811406\pi\)
\(920\) −7.78748 + 11.7525i −0.256746 + 0.387468i
\(921\) −3.02571 19.7400i −0.0997005 0.650456i
\(922\) 0.0167840 0.0589896i 0.000552751 0.00194272i
\(923\) 30.7515 28.0337i 1.01220 0.922740i
\(924\) −14.8459 + 4.69170i −0.488395 + 0.154345i
\(925\) 28.3494 10.9826i 0.932124 0.361107i
\(926\) 0.348528 0.0114533
\(927\) −24.5303 + 18.0350i −0.805682 + 0.592348i
\(928\) −16.0407 −0.526562
\(929\) −5.62233 + 2.17810i −0.184463 + 0.0714612i −0.451702 0.892169i \(-0.649183\pi\)
0.267239 + 0.963630i \(0.413889\pi\)
\(930\) −0.466935 + 2.11281i −0.0153114 + 0.0692819i
\(931\) 19.4108 17.6953i 0.636165 0.579941i
\(932\) −4.20744 + 14.7876i −0.137819 + 0.484385i
\(933\) 28.9062 23.1701i 0.946347 0.758556i
\(934\) 5.86524 8.85154i 0.191917 0.289631i
\(935\) −29.6607 + 59.5667i −0.970009 + 1.94804i
\(936\) 7.26034 5.09806i 0.237312 0.166635i
\(937\) −2.17396 23.4608i −0.0710202 0.766430i −0.954549 0.298053i \(-0.903663\pi\)
0.883529 0.468376i \(-0.155161\pi\)
\(938\) 1.07439 + 0.864555i 0.0350799 + 0.0282287i
\(939\) −18.5247 32.2274i −0.604531 1.05170i
\(940\) 17.9517 27.0918i 0.585520 0.883638i
\(941\) −12.8776 + 58.8009i −0.419798 + 1.91685i −0.0210859 + 0.999778i \(0.506712\pi\)
−0.398712 + 0.917076i \(0.630543\pi\)
\(942\) −0.301238 10.4226i −0.00981485 0.339587i
\(943\) 2.41773 26.0914i 0.0787321 0.849654i
\(944\) −28.5265 + 15.3184i −0.928460 + 0.498572i
\(945\) −16.7798 + 0.938680i −0.545846 + 0.0305353i
\(946\) 3.53375 + 10.0281i 0.114892 + 0.326040i
\(947\) 3.53803 + 7.10533i 0.114971 + 0.230892i 0.945173 0.326570i \(-0.105893\pi\)
−0.830202 + 0.557462i \(0.811775\pi\)
\(948\) 17.6750 + 18.2976i 0.574059 + 0.594279i
\(949\) 8.25685 + 2.62669i 0.268029 + 0.0852661i
\(950\) 1.54889 + 9.97811i 0.0502526 + 0.323732i
\(951\) 2.04064 12.9828i 0.0661723 0.420995i
\(952\) 2.23841 + 1.38596i 0.0725472 + 0.0449193i
\(953\) −11.0170 + 50.3052i −0.356876 + 1.62955i 0.360430 + 0.932786i \(0.382630\pi\)
−0.717306 + 0.696759i \(0.754625\pi\)
\(954\) −1.11819 0.285772i −0.0362028 0.00925221i
\(955\) 1.02893 + 6.62850i 0.0332955 + 0.214493i
\(956\) 14.1902 49.8734i 0.458944 1.61302i
\(957\) 52.6140 + 6.61685i 1.70077 + 0.213892i
\(958\) 6.56253 3.01924i 0.212026 0.0975473i
\(959\) 3.15545 + 11.0902i 0.101895 + 0.358123i
\(960\) −40.3938 15.7372i −1.30370 0.507917i
\(961\) −19.0625 + 22.2498i −0.614919 + 0.717737i
\(962\) −1.53783 1.79496i −0.0495816 0.0578719i
\(963\) −28.9128 + 9.07661i −0.931701 + 0.292490i
\(964\) 4.32371 5.72552i 0.139257 0.184407i
\(965\) −25.0115 29.1935i −0.805148 0.939773i
\(966\) −0.950603 0.984087i −0.0305851 0.0316625i
\(967\) 25.1435 + 22.9213i 0.808560 + 0.737100i 0.968228 0.250071i \(-0.0804539\pi\)
−0.159667 + 0.987171i \(0.551042\pi\)
\(968\) −18.3123 4.60572i −0.588578 0.148033i
\(969\) −2.06930 22.8043i −0.0664756 0.732578i
\(970\) 5.93183 + 7.85501i 0.190460 + 0.252209i
\(971\) 18.6950 1.15307i 0.599953 0.0370038i 0.241262 0.970460i \(-0.422439\pi\)
0.358691 + 0.933456i \(0.383223\pi\)
\(972\) 29.7386 5.26636i 0.953866 0.168919i
\(973\) 9.05101 + 15.6768i 0.290162 + 0.502576i
\(974\) 1.79039 + 3.10105i 0.0573678 + 0.0993640i
\(975\) 47.8382 + 15.3189i 1.53205 + 0.490597i
\(976\) −11.3118 26.7253i −0.362083 0.855455i
\(977\) 20.1816 + 3.77260i 0.645667 + 0.120696i 0.496390 0.868099i \(-0.334658\pi\)
0.149276 + 0.988795i \(0.452306\pi\)
\(978\) 2.49629 2.56459i 0.0798227 0.0820066i
\(979\) −2.96021 19.0700i −0.0946087 0.609479i
\(980\) 30.3407 35.4138i 0.969197 1.13125i
\(981\) −4.77499 + 11.1627i −0.152454 + 0.356396i
\(982\) −6.47841 + 4.58597i −0.206734 + 0.146344i
\(983\) 8.87384 + 15.3699i 0.283031 + 0.490225i 0.972130 0.234443i \(-0.0753266\pi\)
−0.689098 + 0.724668i \(0.741993\pi\)
\(984\) −11.8717 + 1.44708i −0.378457 + 0.0461311i
\(985\) 7.33909 + 79.2014i 0.233843 + 2.52357i
\(986\) −2.43712 3.67798i −0.0776138 0.117131i
\(987\) 4.45345 + 4.61031i 0.141755 + 0.146748i
\(988\) −21.4100 + 11.4969i −0.681142 + 0.365766i
\(989\) 20.1350 20.7649i 0.640256 0.660286i
\(990\) −13.8773 7.52023i −0.441050 0.239009i
\(991\) 9.37866 + 12.4193i 0.297923 + 0.394514i 0.922215 0.386677i \(-0.126377\pi\)
−0.624292 + 0.781191i \(0.714613\pi\)
\(992\) −2.44192 2.85022i −0.0775309 0.0904945i
\(993\) 0.522476 0.900986i 0.0165803 0.0285919i
\(994\) −1.30565 + 2.62209i −0.0414126 + 0.0831677i
\(995\) 29.5353 83.8150i 0.936331 2.65712i
\(996\) 1.72154 + 3.47389i 0.0545491 + 0.110075i
\(997\) 21.5052 + 11.5481i 0.681077 + 0.365731i 0.776862 0.629671i \(-0.216810\pi\)
−0.0957844 + 0.995402i \(0.530536\pi\)
\(998\) 8.50080 + 2.13804i 0.269088 + 0.0676784i
\(999\) −4.38526 15.7542i −0.138743 0.498441i
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 927.2.y.a.781.55 yes 3264
9.4 even 3 927.2.z.a.472.48 yes 3264
103.91 even 51 927.2.z.a.709.48 yes 3264
927.400 even 51 inner 927.2.y.a.400.55 3264
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
927.2.y.a.400.55 3264 927.400 even 51 inner
927.2.y.a.781.55 yes 3264 1.1 even 1 trivial
927.2.z.a.472.48 yes 3264 9.4 even 3
927.2.z.a.709.48 yes 3264 103.91 even 51