Properties

Label 276.2.m.a.103.22
Level $276$
Weight $2$
Character 276.103
Analytic conductor $2.204$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [276,2,Mod(7,276)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(276, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 0, 19]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("276.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 276.m (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.20387109579\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 103.22
Character \(\chi\) \(=\) 276.103
Dual form 276.2.m.a.67.22

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.28339 - 0.594058i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(1.29419 - 1.52482i) q^{4} +(-0.412480 - 1.40478i) q^{5} +(-1.35487 + 0.405366i) q^{6} +(-1.74599 - 2.01498i) q^{7} +(0.755120 - 2.72576i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(1.28339 - 0.594058i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(1.29419 - 1.52482i) q^{4} +(-0.412480 - 1.40478i) q^{5} +(-1.35487 + 0.405366i) q^{6} +(-1.74599 - 2.01498i) q^{7} +(0.755120 - 2.72576i) q^{8} +(0.959493 + 0.281733i) q^{9} +(-1.36389 - 1.55784i) q^{10} +(0.913693 + 0.587195i) q^{11} +(-1.49802 + 1.32512i) q^{12} +(-0.741987 + 0.856298i) q^{13} +(-3.43781 - 1.54879i) q^{14} +(0.208361 + 1.44918i) q^{15} +(-0.650148 - 3.94681i) q^{16} +(0.484098 - 0.221080i) q^{17} +(1.39877 - 0.208422i) q^{18} +(1.39620 - 3.05725i) q^{19} +(-2.67586 - 1.18909i) q^{20} +(1.44146 + 2.24296i) q^{21} +(1.52145 + 0.210814i) q^{22} +(4.14255 + 2.41646i) q^{23} +(-1.13535 + 2.59056i) q^{24} +(2.40301 - 1.54432i) q^{25} +(-0.443568 + 1.53975i) q^{26} +(-0.909632 - 0.415415i) q^{27} +(-5.33213 + 0.0545541i) q^{28} +(3.62124 + 7.92942i) q^{29} +(1.12831 + 1.73609i) q^{30} +(-1.03441 + 0.148725i) q^{31} +(-3.17903 - 4.67908i) q^{32} +(-0.820826 - 0.711250i) q^{33} +(0.489953 - 0.571315i) q^{34} +(-2.11042 + 3.28387i) q^{35} +(1.67136 - 1.09844i) q^{36} +(-2.79158 + 9.50726i) q^{37} +(-0.0243142 - 4.75308i) q^{38} +(0.856298 - 0.741987i) q^{39} +(-4.14056 + 0.0635471i) q^{40} +(1.71224 - 0.502759i) q^{41} +(3.18241 + 2.02228i) q^{42} +(0.818634 - 5.69372i) q^{43} +(2.07786 - 0.633275i) q^{44} -1.46408i q^{45} +(6.75203 + 0.640355i) q^{46} +6.12796i q^{47} +(0.0818409 + 3.99916i) q^{48} +(-0.0154638 + 0.107553i) q^{49} +(2.16659 - 3.40949i) q^{50} +(-0.510634 + 0.149936i) q^{51} +(0.345429 + 2.23961i) q^{52} +(-0.804361 + 0.696983i) q^{53} +(-1.41420 + 0.00723426i) q^{54} +(0.447998 - 1.52574i) q^{55} +(-6.81081 + 3.23761i) q^{56} +(-1.81708 + 2.82743i) q^{57} +(9.35801 + 8.02532i) q^{58} +(6.08956 + 5.27664i) q^{59} +(2.47940 + 1.55780i) q^{60} +(-5.19380 + 0.746755i) q^{61} +(-1.23920 + 0.805371i) q^{62} +(-1.10758 - 2.42527i) q^{63} +(-6.85959 - 4.11656i) q^{64} +(1.50896 + 0.689120i) q^{65} +(-1.47597 - 0.425194i) q^{66} +(-2.68040 + 1.72259i) q^{67} +(0.289407 - 1.02428i) q^{68} +(-3.75648 - 2.98141i) q^{69} +(-0.757680 + 5.46821i) q^{70} +(5.64990 + 8.79141i) q^{71} +(1.49247 - 2.40261i) q^{72} +(1.57074 - 3.43945i) q^{73} +(2.06517 + 13.8599i) q^{74} +(-2.59833 + 1.18662i) q^{75} +(-2.85481 - 6.08562i) q^{76} +(-0.412114 - 2.86631i) q^{77} +(0.658183 - 1.46095i) q^{78} +(10.5946 - 12.2269i) q^{79} +(-5.27622 + 2.54129i) q^{80} +(0.841254 + 0.540641i) q^{81} +(1.89880 - 1.66241i) q^{82} +(-15.1022 - 4.43442i) q^{83} +(5.28563 + 0.704843i) q^{84} +(-0.510249 - 0.588859i) q^{85} +(-2.33178 - 7.79359i) q^{86} +(-2.45591 - 8.36406i) q^{87} +(2.29050 - 2.04711i) q^{88} +(9.94241 + 1.42950i) q^{89} +(-0.869751 - 1.87899i) q^{90} +3.02093 q^{91} +(9.04591 - 3.18928i) q^{92} +1.04504 q^{93} +(3.64037 + 7.86458i) q^{94} +(-4.87066 - 0.700296i) q^{95} +(2.48077 + 5.08387i) q^{96} +(-2.79863 - 9.53125i) q^{97} +(0.0440466 + 0.147219i) q^{98} +(0.711250 + 0.820826i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(139\) \(185\)
\(\chi(n)\) \(e\left(\frac{9}{22}\right)\) \(-1\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.28339 0.594058i 0.907495 0.420063i
\(3\) −0.989821 0.142315i −0.571474 0.0821655i
\(4\) 1.29419 1.52482i 0.647095 0.762410i
\(5\) −0.412480 1.40478i −0.184467 0.628235i −0.998852 0.0479106i \(-0.984744\pi\)
0.814385 0.580325i \(-0.197074\pi\)
\(6\) −1.35487 + 0.405366i −0.553124 + 0.165490i
\(7\) −1.74599 2.01498i −0.659924 0.761593i 0.322841 0.946453i \(-0.395362\pi\)
−0.982765 + 0.184861i \(0.940817\pi\)
\(8\) 0.755120 2.72576i 0.266975 0.963703i
\(9\) 0.959493 + 0.281733i 0.319831 + 0.0939109i
\(10\) −1.36389 1.55784i −0.431301 0.492633i
\(11\) 0.913693 + 0.587195i 0.275489 + 0.177046i 0.671089 0.741377i \(-0.265827\pi\)
−0.395600 + 0.918423i \(0.629463\pi\)
\(12\) −1.49802 + 1.32512i −0.432441 + 0.382528i
\(13\) −0.741987 + 0.856298i −0.205790 + 0.237494i −0.849257 0.527979i \(-0.822950\pi\)
0.643467 + 0.765474i \(0.277495\pi\)
\(14\) −3.43781 1.54879i −0.918794 0.413932i
\(15\) 0.208361 + 1.44918i 0.0537985 + 0.374177i
\(16\) −0.650148 3.94681i −0.162537 0.986702i
\(17\) 0.484098 0.221080i 0.117411 0.0536199i −0.355843 0.934546i \(-0.615806\pi\)
0.473255 + 0.880926i \(0.343079\pi\)
\(18\) 1.39877 0.208422i 0.329693 0.0491254i
\(19\) 1.39620 3.05725i 0.320310 0.701382i −0.679158 0.733992i \(-0.737655\pi\)
0.999468 + 0.0326104i \(0.0103821\pi\)
\(20\) −2.67586 1.18909i −0.598340 0.265889i
\(21\) 1.44146 + 2.24296i 0.314552 + 0.489453i
\(22\) 1.52145 + 0.210814i 0.324375 + 0.0449457i
\(23\) 4.14255 + 2.41646i 0.863781 + 0.503868i
\(24\) −1.13535 + 2.59056i −0.231753 + 0.528795i
\(25\) 2.40301 1.54432i 0.480602 0.308864i
\(26\) −0.443568 + 1.53975i −0.0869909 + 0.301970i
\(27\) −0.909632 0.415415i −0.175059 0.0799467i
\(28\) −5.33213 + 0.0545541i −1.00768 + 0.0103097i
\(29\) 3.62124 + 7.92942i 0.672448 + 1.47246i 0.870452 + 0.492254i \(0.163827\pi\)
−0.198004 + 0.980201i \(0.563446\pi\)
\(30\) 1.12831 + 1.73609i 0.206000 + 0.316965i
\(31\) −1.03441 + 0.148725i −0.185785 + 0.0267118i −0.234579 0.972097i \(-0.575371\pi\)
0.0487943 + 0.998809i \(0.484462\pi\)
\(32\) −3.17903 4.67908i −0.561978 0.827152i
\(33\) −0.820826 0.711250i −0.142887 0.123813i
\(34\) 0.489953 0.571315i 0.0840263 0.0979798i
\(35\) −2.11042 + 3.28387i −0.356726 + 0.555076i
\(36\) 1.67136 1.09844i 0.278559 0.183073i
\(37\) −2.79158 + 9.50726i −0.458933 + 1.56298i 0.327217 + 0.944949i \(0.393889\pi\)
−0.786151 + 0.618035i \(0.787929\pi\)
\(38\) −0.0243142 4.75308i −0.00394428 0.771051i
\(39\) 0.856298 0.741987i 0.137117 0.118813i
\(40\) −4.14056 + 0.0635471i −0.654681 + 0.0100477i
\(41\) 1.71224 0.502759i 0.267407 0.0785177i −0.145280 0.989391i \(-0.546408\pi\)
0.412687 + 0.910873i \(0.364590\pi\)
\(42\) 3.18241 + 2.02228i 0.491056 + 0.312045i
\(43\) 0.818634 5.69372i 0.124840 0.868285i −0.827112 0.562038i \(-0.810018\pi\)
0.951952 0.306247i \(-0.0990733\pi\)
\(44\) 2.07786 0.633275i 0.313249 0.0954698i
\(45\) 1.46408i 0.218253i
\(46\) 6.75203 + 0.640355i 0.995533 + 0.0944152i
\(47\) 6.12796i 0.893855i 0.894570 + 0.446928i \(0.147482\pi\)
−0.894570 + 0.446928i \(0.852518\pi\)
\(48\) 0.0818409 + 3.99916i 0.0118127 + 0.577229i
\(49\) −0.0154638 + 0.107553i −0.00220911 + 0.0153647i
\(50\) 2.16659 3.40949i 0.306401 0.482175i
\(51\) −0.510634 + 0.149936i −0.0715031 + 0.0209952i
\(52\) 0.345429 + 2.23961i 0.0479024 + 0.310578i
\(53\) −0.804361 + 0.696983i −0.110487 + 0.0957379i −0.708353 0.705859i \(-0.750561\pi\)
0.597865 + 0.801597i \(0.296016\pi\)
\(54\) −1.41420 + 0.00723426i −0.192448 + 0.000984458i
\(55\) 0.447998 1.52574i 0.0604080 0.205731i
\(56\) −6.81081 + 3.23761i −0.910133 + 0.432644i
\(57\) −1.81708 + 2.82743i −0.240678 + 0.374503i
\(58\) 9.35801 + 8.02532i 1.22877 + 1.05378i
\(59\) 6.08956 + 5.27664i 0.792794 + 0.686960i 0.953949 0.299970i \(-0.0969765\pi\)
−0.161155 + 0.986929i \(0.551522\pi\)
\(60\) 2.47940 + 1.55780i 0.320089 + 0.201111i
\(61\) −5.19380 + 0.746755i −0.664998 + 0.0956122i −0.466544 0.884498i \(-0.654501\pi\)
−0.198454 + 0.980110i \(0.563592\pi\)
\(62\) −1.23920 + 0.805371i −0.157378 + 0.102282i
\(63\) −1.10758 2.42527i −0.139542 0.305555i
\(64\) −6.85959 4.11656i −0.857448 0.514570i
\(65\) 1.50896 + 0.689120i 0.187164 + 0.0854748i
\(66\) −1.47597 0.425194i −0.181679 0.0523377i
\(67\) −2.68040 + 1.72259i −0.327463 + 0.210448i −0.694034 0.719943i \(-0.744168\pi\)
0.366571 + 0.930390i \(0.380532\pi\)
\(68\) 0.289407 1.02428i 0.0350958 0.124212i
\(69\) −3.75648 2.98141i −0.452228 0.358920i
\(70\) −0.757680 + 5.46821i −0.0905601 + 0.653576i
\(71\) 5.64990 + 8.79141i 0.670519 + 1.04335i 0.995232 + 0.0975359i \(0.0310961\pi\)
−0.324713 + 0.945813i \(0.605268\pi\)
\(72\) 1.49247 2.40261i 0.175889 0.283150i
\(73\) 1.57074 3.43945i 0.183842 0.402557i −0.795163 0.606396i \(-0.792615\pi\)
0.979004 + 0.203839i \(0.0653419\pi\)
\(74\) 2.06517 + 13.8599i 0.240071 + 1.61118i
\(75\) −2.59833 + 1.18662i −0.300029 + 0.137019i
\(76\) −2.85481 6.08562i −0.327469 0.698068i
\(77\) −0.412114 2.86631i −0.0469647 0.326647i
\(78\) 0.658183 1.46095i 0.0745245 0.165420i
\(79\) 10.5946 12.2269i 1.19199 1.37563i 0.282835 0.959169i \(-0.408725\pi\)
0.909154 0.416460i \(-0.136729\pi\)
\(80\) −5.27622 + 2.54129i −0.589899 + 0.284125i
\(81\) 0.841254 + 0.540641i 0.0934726 + 0.0600712i
\(82\) 1.89880 1.66241i 0.209688 0.183582i
\(83\) −15.1022 4.43442i −1.65769 0.486740i −0.686912 0.726740i \(-0.741034\pi\)
−0.970773 + 0.240000i \(0.922853\pi\)
\(84\) 5.28563 + 0.704843i 0.576709 + 0.0769047i
\(85\) −0.510249 0.588859i −0.0553443 0.0638707i
\(86\) −2.33178 7.79359i −0.251442 0.840405i
\(87\) −2.45591 8.36406i −0.263301 0.896722i
\(88\) 2.29050 2.04711i 0.244168 0.218222i
\(89\) 9.94241 + 1.42950i 1.05389 + 0.151527i 0.647418 0.762135i \(-0.275849\pi\)
0.406475 + 0.913662i \(0.366758\pi\)
\(90\) −0.869751 1.87899i −0.0916798 0.198063i
\(91\) 3.02093 0.316680
\(92\) 9.04591 3.18928i 0.943102 0.332505i
\(93\) 1.04504 0.108366
\(94\) 3.64037 + 7.86458i 0.375475 + 0.811169i
\(95\) −4.87066 0.700296i −0.499720 0.0718488i
\(96\) 2.48077 + 5.08387i 0.253193 + 0.518871i
\(97\) −2.79863 9.53125i −0.284157 0.967752i −0.970626 0.240592i \(-0.922658\pi\)
0.686469 0.727159i \(-0.259160\pi\)
\(98\) 0.0440466 + 0.147219i 0.00444938 + 0.0148714i
\(99\) 0.711250 + 0.820826i 0.0714833 + 0.0824961i
\(100\) 0.755139 5.66280i 0.0755139 0.566280i
\(101\) −8.44997 2.48114i −0.840803 0.246882i −0.167152 0.985931i \(-0.553457\pi\)
−0.673652 + 0.739049i \(0.735275\pi\)
\(102\) −0.566273 + 0.495773i −0.0560694 + 0.0490888i
\(103\) −7.97998 5.12842i −0.786290 0.505318i 0.0848254 0.996396i \(-0.472967\pi\)
−0.871116 + 0.491078i \(0.836603\pi\)
\(104\) 1.77378 + 2.66909i 0.173933 + 0.261726i
\(105\) 2.55628 2.95010i 0.249467 0.287901i
\(106\) −0.618262 + 1.37234i −0.0600509 + 0.133293i
\(107\) 1.90193 + 13.2282i 0.183866 + 1.27882i 0.847514 + 0.530774i \(0.178099\pi\)
−0.663647 + 0.748046i \(0.730992\pi\)
\(108\) −1.81067 + 0.849399i −0.174232 + 0.0817334i
\(109\) 7.00388 3.19856i 0.670850 0.306367i −0.0507156 0.998713i \(-0.516150\pi\)
0.721565 + 0.692346i \(0.243423\pi\)
\(110\) −0.331422 2.22426i −0.0315999 0.212075i
\(111\) 4.11619 9.01321i 0.390692 0.855496i
\(112\) −6.81761 + 8.20115i −0.644203 + 0.774935i
\(113\) −4.25603 6.62251i −0.400374 0.622994i 0.581272 0.813710i \(-0.302555\pi\)
−0.981645 + 0.190716i \(0.938919\pi\)
\(114\) −0.652367 + 4.70816i −0.0610998 + 0.440959i
\(115\) 1.68588 6.81610i 0.157209 0.635605i
\(116\) 16.7775 + 4.74042i 1.55775 + 0.440137i
\(117\) −0.953178 + 0.612570i −0.0881213 + 0.0566321i
\(118\) 10.9499 + 3.15444i 1.00802 + 0.290389i
\(119\) −1.29071 0.589446i −0.118319 0.0540344i
\(120\) 4.10746 + 0.526363i 0.374958 + 0.0480502i
\(121\) −4.07953 8.93292i −0.370866 0.812084i
\(122\) −6.22206 + 4.04380i −0.563319 + 0.366108i
\(123\) −1.76636 + 0.253964i −0.159267 + 0.0228992i
\(124\) −1.11194 + 1.76976i −0.0998551 + 0.158929i
\(125\) −8.69302 7.53254i −0.777527 0.673731i
\(126\) −2.86221 2.45460i −0.254986 0.218673i
\(127\) −8.64585 + 13.4532i −0.767195 + 1.19378i 0.209218 + 0.977869i \(0.432908\pi\)
−0.976413 + 0.215910i \(0.930728\pi\)
\(128\) −11.2490 1.20817i −0.994282 0.106788i
\(129\) −1.62060 + 5.51927i −0.142686 + 0.485944i
\(130\) 2.34597 0.0120007i 0.205755 0.00105253i
\(131\) 1.27506 1.10485i 0.111403 0.0965311i −0.597378 0.801960i \(-0.703791\pi\)
0.708781 + 0.705429i \(0.249245\pi\)
\(132\) −2.14683 + 0.331119i −0.186858 + 0.0288203i
\(133\) −8.59808 + 2.52462i −0.745548 + 0.218913i
\(134\) −2.41668 + 3.80307i −0.208770 + 0.328535i
\(135\) −0.208361 + 1.44918i −0.0179328 + 0.124726i
\(136\) −0.237060 1.48648i −0.0203278 0.127465i
\(137\) 6.36031i 0.543398i −0.962382 0.271699i \(-0.912415\pi\)
0.962382 0.271699i \(-0.0875855\pi\)
\(138\) −6.59217 1.59475i −0.561163 0.135754i
\(139\) 20.3836i 1.72892i 0.502705 + 0.864458i \(0.332338\pi\)
−0.502705 + 0.864458i \(0.667662\pi\)
\(140\) 2.27603 + 7.46796i 0.192360 + 0.631158i
\(141\) 0.872100 6.06559i 0.0734441 0.510815i
\(142\) 12.4736 + 7.92646i 1.04677 + 0.665174i
\(143\) −1.18076 + 0.346703i −0.0987402 + 0.0289927i
\(144\) 0.488132 3.97010i 0.0406777 0.330842i
\(145\) 9.64537 8.35776i 0.801005 0.694074i
\(146\) −0.0273538 5.34727i −0.00226381 0.442544i
\(147\) 0.0306128 0.104257i 0.00252490 0.00859901i
\(148\) 10.8840 + 16.5609i 0.894661 + 1.36129i
\(149\) −5.63221 + 8.76389i −0.461409 + 0.717966i −0.991519 0.129963i \(-0.958514\pi\)
0.530110 + 0.847929i \(0.322151\pi\)
\(150\) −2.62975 + 3.06645i −0.214719 + 0.250375i
\(151\) −3.39440 2.94126i −0.276232 0.239356i 0.505716 0.862700i \(-0.331228\pi\)
−0.781948 + 0.623344i \(0.785774\pi\)
\(152\) −7.27905 6.11431i −0.590409 0.495936i
\(153\) 0.526775 0.0757387i 0.0425872 0.00612311i
\(154\) −2.23166 3.43379i −0.179832 0.276702i
\(155\) 0.635598 + 1.39176i 0.0510524 + 0.111789i
\(156\) −0.0231836 2.26597i −0.00185617 0.181423i
\(157\) −11.0472 5.04507i −0.881659 0.402640i −0.0774568 0.996996i \(-0.524680\pi\)
−0.804203 + 0.594355i \(0.797407\pi\)
\(158\) 6.33360 21.9857i 0.503874 1.74909i
\(159\) 0.895364 0.575416i 0.0710070 0.0456334i
\(160\) −5.26178 + 6.39585i −0.415980 + 0.505637i
\(161\) −2.36373 12.5663i −0.186288 0.990363i
\(162\) 1.40083 + 0.194100i 0.110060 + 0.0152500i
\(163\) 4.55378 + 7.08581i 0.356679 + 0.555004i 0.972506 0.232878i \(-0.0748143\pi\)
−0.615827 + 0.787882i \(0.711178\pi\)
\(164\) 1.44934 3.26152i 0.113175 0.254682i
\(165\) −0.660573 + 1.44645i −0.0514256 + 0.112606i
\(166\) −22.0164 + 3.28051i −1.70880 + 0.254617i
\(167\) 18.7307 8.55404i 1.44943 0.661932i 0.473654 0.880711i \(-0.342935\pi\)
0.975774 + 0.218779i \(0.0702074\pi\)
\(168\) 7.20225 2.23538i 0.555665 0.172463i
\(169\) 1.66739 + 11.5970i 0.128261 + 0.892073i
\(170\) −1.00467 0.452619i −0.0770544 0.0347143i
\(171\) 2.20097 2.54006i 0.168313 0.194243i
\(172\) −7.62243 8.61702i −0.581205 0.657042i
\(173\) −4.55020 2.92424i −0.345945 0.222326i 0.356117 0.934442i \(-0.384101\pi\)
−0.702062 + 0.712116i \(0.747737\pi\)
\(174\) −8.12064 9.27541i −0.615624 0.703167i
\(175\) −7.30742 2.14565i −0.552389 0.162196i
\(176\) 1.72351 3.98793i 0.129914 0.300602i
\(177\) −5.27664 6.08956i −0.396616 0.457720i
\(178\) 13.6092 4.07176i 1.02005 0.305191i
\(179\) −0.963457 3.28123i −0.0720122 0.245251i 0.915619 0.402048i \(-0.131701\pi\)
−0.987631 + 0.156797i \(0.949883\pi\)
\(180\) −2.23246 1.89480i −0.166398 0.141230i
\(181\) 1.46233 + 0.210251i 0.108694 + 0.0156279i 0.196447 0.980514i \(-0.437060\pi\)
−0.0877531 + 0.996142i \(0.527969\pi\)
\(182\) 3.87704 1.79461i 0.287385 0.133025i
\(183\) 5.24721 0.387885
\(184\) 9.71483 9.46689i 0.716187 0.697908i
\(185\) 14.5071 1.06658
\(186\) 1.34120 0.620817i 0.0983416 0.0455205i
\(187\) 0.572134 + 0.0822605i 0.0418386 + 0.00601548i
\(188\) 9.34404 + 7.93074i 0.681484 + 0.578409i
\(189\) 0.751157 + 2.55821i 0.0546387 + 0.186082i
\(190\) −6.66699 + 1.99470i −0.483674 + 0.144711i
\(191\) 0.902533 + 1.04158i 0.0653050 + 0.0753659i 0.787462 0.616363i \(-0.211395\pi\)
−0.722157 + 0.691729i \(0.756849\pi\)
\(192\) 6.20392 + 5.05088i 0.447729 + 0.364516i
\(193\) 18.2020 + 5.34458i 1.31021 + 0.384711i 0.860949 0.508691i \(-0.169870\pi\)
0.449257 + 0.893402i \(0.351689\pi\)
\(194\) −9.25385 10.5698i −0.664388 0.758866i
\(195\) −1.39553 0.896854i −0.0999361 0.0642250i
\(196\) 0.143986 + 0.162773i 0.0102847 + 0.0116267i
\(197\) 4.27890 4.93812i 0.304859 0.351826i −0.582562 0.812787i \(-0.697950\pi\)
0.887421 + 0.460960i \(0.152495\pi\)
\(198\) 1.40043 + 0.630917i 0.0995243 + 0.0448374i
\(199\) 1.85527 + 12.9037i 0.131517 + 0.914720i 0.943579 + 0.331149i \(0.107436\pi\)
−0.812062 + 0.583572i \(0.801655\pi\)
\(200\) −2.39489 7.71618i −0.169344 0.545616i
\(201\) 2.89827 1.32359i 0.204428 0.0933591i
\(202\) −12.3186 + 1.83551i −0.866731 + 0.129146i
\(203\) 9.65498 21.1415i 0.677647 1.48384i
\(204\) −0.432232 + 0.972670i −0.0302623 + 0.0681005i
\(205\) −1.41253 2.19794i −0.0986552 0.153510i
\(206\) −13.2880 1.84120i −0.925820 0.128282i
\(207\) 3.29395 + 3.48567i 0.228945 + 0.242271i
\(208\) 3.86205 + 2.37176i 0.267785 + 0.164452i
\(209\) 3.07090 1.97355i 0.212419 0.136513i
\(210\) 1.52817 5.30472i 0.105454 0.366060i
\(211\) −18.1296 8.27950i −1.24809 0.569984i −0.321805 0.946806i \(-0.604290\pi\)
−0.926286 + 0.376822i \(0.877017\pi\)
\(212\) 0.0217774 + 2.12853i 0.00149568 + 0.146188i
\(213\) −4.34124 9.50599i −0.297457 0.651340i
\(214\) 10.2993 + 15.8471i 0.704042 + 1.08329i
\(215\) −8.33608 + 1.19855i −0.568516 + 0.0817403i
\(216\) −1.81921 + 2.16575i −0.123781 + 0.147361i
\(217\) 2.10575 + 1.82464i 0.142947 + 0.123865i
\(218\) 7.08859 8.26572i 0.480100 0.559825i
\(219\) −2.04424 + 3.18090i −0.138137 + 0.214945i
\(220\) −1.74668 2.65771i −0.117761 0.179183i
\(221\) −0.169884 + 0.578571i −0.0114276 + 0.0389189i
\(222\) −0.0716816 14.0127i −0.00481095 0.940473i
\(223\) −21.6700 + 18.7772i −1.45113 + 1.25741i −0.542344 + 0.840157i \(0.682463\pi\)
−0.908789 + 0.417256i \(0.862992\pi\)
\(224\) −3.87770 + 14.5753i −0.259090 + 0.973856i
\(225\) 2.74075 0.804758i 0.182717 0.0536505i
\(226\) −9.39631 5.97095i −0.625034 0.397182i
\(227\) 1.79798 12.5052i 0.119336 0.830002i −0.838953 0.544203i \(-0.816832\pi\)
0.958290 0.285799i \(-0.0922589\pi\)
\(228\) 1.95968 + 6.42996i 0.129783 + 0.425834i
\(229\) 24.5439i 1.62191i 0.585110 + 0.810954i \(0.301051\pi\)
−0.585110 + 0.810954i \(0.698949\pi\)
\(230\) −1.88552 9.74923i −0.124328 0.642846i
\(231\) 2.89579i 0.190529i
\(232\) 24.3482 3.88299i 1.59854 0.254931i
\(233\) −3.41907 + 23.7801i −0.223991 + 1.55789i 0.498736 + 0.866754i \(0.333798\pi\)
−0.722726 + 0.691134i \(0.757111\pi\)
\(234\) −0.859398 + 1.35241i −0.0561806 + 0.0884099i
\(235\) 8.60842 2.52766i 0.561552 0.164886i
\(236\) 15.9270 2.45652i 1.03676 0.159906i
\(237\) −12.2269 + 10.5946i −0.794219 + 0.688195i
\(238\) −2.00665 + 0.0102649i −0.130072 + 0.000665376i
\(239\) 4.40771 15.0113i 0.285111 0.971000i −0.685041 0.728504i \(-0.740216\pi\)
0.970153 0.242495i \(-0.0779659\pi\)
\(240\) 5.58417 1.76454i 0.360457 0.113901i
\(241\) 5.22486 8.13004i 0.336563 0.523702i −0.631182 0.775635i \(-0.717430\pi\)
0.967745 + 0.251933i \(0.0810662\pi\)
\(242\) −10.5423 9.04096i −0.677685 0.581175i
\(243\) −0.755750 0.654861i −0.0484814 0.0420093i
\(244\) −5.58309 + 8.88605i −0.357421 + 0.568871i
\(245\) 0.157466 0.0226403i 0.0100602 0.00144643i
\(246\) −2.11606 + 1.37526i −0.134915 + 0.0876832i
\(247\) 1.58196 + 3.46400i 0.100658 + 0.220409i
\(248\) −0.375712 + 2.93186i −0.0238577 + 0.186173i
\(249\) 14.3174 + 6.53855i 0.907330 + 0.414364i
\(250\) −15.6313 4.50304i −0.988611 0.284797i
\(251\) −15.6234 + 10.0405i −0.986137 + 0.633752i −0.931112 0.364733i \(-0.881160\pi\)
−0.0550252 + 0.998485i \(0.517524\pi\)
\(252\) −5.13152 1.44989i −0.323255 0.0913346i
\(253\) 2.36608 + 4.64039i 0.148754 + 0.291739i
\(254\) −3.10402 + 22.4019i −0.194764 + 1.40562i
\(255\) 0.421252 + 0.655482i 0.0263798 + 0.0410478i
\(256\) −15.1546 + 5.13202i −0.947163 + 0.320751i
\(257\) −2.40948 + 5.27603i −0.150299 + 0.329110i −0.969774 0.244006i \(-0.921538\pi\)
0.819474 + 0.573116i \(0.194266\pi\)
\(258\) 1.19890 + 8.04611i 0.0746401 + 0.500929i
\(259\) 24.0311 10.9746i 1.49322 0.681930i
\(260\) 3.00367 1.40904i 0.186280 0.0873852i
\(261\) 1.24058 + 8.62844i 0.0767901 + 0.534087i
\(262\) 0.980061 2.17542i 0.0605484 0.134398i
\(263\) 11.6082 13.3966i 0.715792 0.826067i −0.275003 0.961443i \(-0.588679\pi\)
0.990794 + 0.135376i \(0.0432242\pi\)
\(264\) −2.55852 + 1.70030i −0.157466 + 0.104646i
\(265\) 1.31089 + 0.842456i 0.0805272 + 0.0517517i
\(266\) −9.53493 + 8.34784i −0.584624 + 0.511839i
\(267\) −9.63777 2.82991i −0.589822 0.173187i
\(268\) −0.842308 + 6.31648i −0.0514522 + 0.385840i
\(269\) 19.3948 + 22.3828i 1.18252 + 1.36470i 0.916153 + 0.400829i \(0.131278\pi\)
0.266367 + 0.963872i \(0.414177\pi\)
\(270\) 0.593489 + 1.98364i 0.0361186 + 0.120721i
\(271\) 3.24449 + 11.0497i 0.197089 + 0.671222i 0.997428 + 0.0716751i \(0.0228345\pi\)
−0.800339 + 0.599547i \(0.795347\pi\)
\(272\) −1.18730 1.76691i −0.0719905 0.107135i
\(273\) −2.99018 0.429923i −0.180974 0.0260202i
\(274\) −3.77839 8.16277i −0.228261 0.493131i
\(275\) 3.10243 0.187083
\(276\) −9.40772 + 1.86945i −0.566278 + 0.112527i
\(277\) 2.27663 0.136789 0.0683946 0.997658i \(-0.478212\pi\)
0.0683946 + 0.997658i \(0.478212\pi\)
\(278\) 12.1091 + 26.1602i 0.726253 + 1.56898i
\(279\) −1.03441 0.148725i −0.0619283 0.00890395i
\(280\) 7.35745 + 8.23222i 0.439692 + 0.491969i
\(281\) 3.20346 + 10.9100i 0.191102 + 0.650834i 0.998175 + 0.0603829i \(0.0192322\pi\)
−0.807073 + 0.590452i \(0.798950\pi\)
\(282\) −2.48407 8.30261i −0.147924 0.494413i
\(283\) 13.3492 + 15.4058i 0.793528 + 0.915780i 0.998008 0.0630906i \(-0.0200957\pi\)
−0.204480 + 0.978871i \(0.565550\pi\)
\(284\) 20.7174 + 2.76268i 1.22935 + 0.163935i
\(285\) 4.72142 + 1.38634i 0.279673 + 0.0821194i
\(286\) −1.30942 + 1.14640i −0.0774275 + 0.0677879i
\(287\) −4.00261 2.57232i −0.236267 0.151839i
\(288\) −1.73201 5.38518i −0.102060 0.317325i
\(289\) −10.9472 + 12.6337i −0.643950 + 0.743158i
\(290\) 7.41379 16.4562i 0.435353 0.966341i
\(291\) 1.41370 + 9.83252i 0.0828727 + 0.576392i
\(292\) −3.21170 6.84640i −0.187950 0.400655i
\(293\) −26.6451 + 12.1684i −1.55662 + 0.710886i −0.993323 0.115366i \(-0.963196\pi\)
−0.563300 + 0.826252i \(0.690469\pi\)
\(294\) −0.0226469 0.151989i −0.00132079 0.00886418i
\(295\) 4.90068 10.7310i 0.285328 0.624782i
\(296\) 23.8066 + 14.7883i 1.38373 + 0.859554i
\(297\) −0.587195 0.913693i −0.0340725 0.0530178i
\(298\) −2.02207 + 14.5934i −0.117135 + 0.845371i
\(299\) −5.14293 + 1.75427i −0.297423 + 0.101452i
\(300\) −1.55335 + 5.49769i −0.0896829 + 0.317409i
\(301\) −12.9021 + 8.29167i −0.743664 + 0.477924i
\(302\) −6.10362 1.75832i −0.351224 0.101180i
\(303\) 8.01086 + 3.65844i 0.460212 + 0.210172i
\(304\) −12.9741 3.52287i −0.744118 0.202051i
\(305\) 3.19136 + 6.98811i 0.182737 + 0.400138i
\(306\) 0.631065 0.410137i 0.0360756 0.0234460i
\(307\) 9.89949 1.42333i 0.564994 0.0812339i 0.146101 0.989270i \(-0.453327\pi\)
0.418893 + 0.908036i \(0.362418\pi\)
\(308\) −4.90397 3.08115i −0.279429 0.175565i
\(309\) 7.16890 + 6.21189i 0.407825 + 0.353382i
\(310\) 1.64251 + 1.40860i 0.0932883 + 0.0800030i
\(311\) −4.23027 + 6.58244i −0.239877 + 0.373256i −0.940230 0.340541i \(-0.889390\pi\)
0.700353 + 0.713797i \(0.253026\pi\)
\(312\) −1.37587 2.89436i −0.0778935 0.163861i
\(313\) −1.88806 + 6.43015i −0.106720 + 0.363453i −0.995486 0.0949066i \(-0.969745\pi\)
0.888767 + 0.458360i \(0.151563\pi\)
\(314\) −17.1749 + 0.0878575i −0.969236 + 0.00495809i
\(315\) −2.95010 + 2.55628i −0.166220 + 0.144030i
\(316\) −4.93229 31.9788i −0.277463 1.79895i
\(317\) −3.19991 + 0.939580i −0.179725 + 0.0527721i −0.370357 0.928890i \(-0.620765\pi\)
0.190632 + 0.981662i \(0.438946\pi\)
\(318\) 0.807273 1.27038i 0.0452696 0.0712395i
\(319\) −1.34741 + 9.37142i −0.0754403 + 0.524699i
\(320\) −2.95341 + 11.3342i −0.165101 + 0.633600i
\(321\) 13.3642i 0.745919i
\(322\) −10.4987 14.7233i −0.585070 0.820497i
\(323\) 1.78868i 0.0995250i
\(324\) 1.91312 0.583068i 0.106284 0.0323927i
\(325\) −0.460602 + 3.20356i −0.0255496 + 0.177701i
\(326\) 10.0537 + 6.38867i 0.556821 + 0.353835i
\(327\) −7.38779 + 2.16925i −0.408546 + 0.119960i
\(328\) −0.0774555 5.04680i −0.00427677 0.278663i
\(329\) 12.3478 10.6994i 0.680754 0.589876i
\(330\) 0.0115036 + 2.24879i 0.000633251 + 0.123792i
\(331\) 9.75383 33.2185i 0.536119 1.82585i −0.0272227 0.999629i \(-0.508666\pi\)
0.563342 0.826224i \(-0.309515\pi\)
\(332\) −26.3068 + 17.2892i −1.44377 + 0.948868i
\(333\) −5.35701 + 8.33567i −0.293562 + 0.456792i
\(334\) 18.9573 22.1053i 1.03730 1.20955i
\(335\) 3.52546 + 3.05483i 0.192617 + 0.166903i
\(336\) 7.91536 7.14742i 0.431818 0.389924i
\(337\) 12.9244 1.85825i 0.704037 0.101225i 0.219008 0.975723i \(-0.429718\pi\)
0.485029 + 0.874498i \(0.338809\pi\)
\(338\) 9.02918 + 13.8929i 0.491123 + 0.755675i
\(339\) 3.27023 + 7.16080i 0.177614 + 0.388921i
\(340\) −1.55826 + 0.0159429i −0.0845087 + 0.000864624i
\(341\) −1.03246 0.471509i −0.0559109 0.0255336i
\(342\) 1.31577 4.56739i 0.0711486 0.246976i
\(343\) −15.4570 + 9.93359i −0.834598 + 0.536364i
\(344\) −14.9016 6.53085i −0.803439 0.352120i
\(345\) −2.63875 + 6.50680i −0.142065 + 0.350314i
\(346\) −7.57686 1.04986i −0.407334 0.0564406i
\(347\) −7.34440 11.4281i −0.394268 0.613493i 0.586201 0.810165i \(-0.300623\pi\)
−0.980469 + 0.196673i \(0.936986\pi\)
\(348\) −15.9321 7.07986i −0.854050 0.379520i
\(349\) 7.78838 17.0542i 0.416903 0.912889i −0.578371 0.815774i \(-0.696311\pi\)
0.995273 0.0971152i \(-0.0309615\pi\)
\(350\) −10.6529 + 1.58732i −0.569423 + 0.0848459i
\(351\) 1.03065 0.470684i 0.0550122 0.0251232i
\(352\) −0.157127 6.14195i −0.00837491 0.327367i
\(353\) −3.60278 25.0579i −0.191757 1.33370i −0.827356 0.561678i \(-0.810156\pi\)
0.635599 0.772019i \(-0.280753\pi\)
\(354\) −10.3895 4.68067i −0.552198 0.248775i
\(355\) 10.0195 11.5631i 0.531780 0.613707i
\(356\) 15.0471 13.3103i 0.797495 0.705446i
\(357\) 1.19368 + 0.767133i 0.0631764 + 0.0406010i
\(358\) −3.18574 3.63876i −0.168371 0.192314i
\(359\) −32.9356 9.67077i −1.73828 0.510404i −0.749784 0.661683i \(-0.769843\pi\)
−0.988491 + 0.151279i \(0.951661\pi\)
\(360\) −3.99075 1.10556i −0.210331 0.0582681i
\(361\) 5.04494 + 5.82217i 0.265523 + 0.306430i
\(362\) 2.00164 0.598874i 0.105204 0.0314761i
\(363\) 2.76672 + 9.42257i 0.145215 + 0.494557i
\(364\) 3.90966 4.60638i 0.204922 0.241440i
\(365\) −5.47956 0.787842i −0.286813 0.0412375i
\(366\) 6.73422 3.11715i 0.352003 0.162936i
\(367\) 16.9535 0.884963 0.442482 0.896778i \(-0.354098\pi\)
0.442482 + 0.896778i \(0.354098\pi\)
\(368\) 6.84405 17.9209i 0.356771 0.934192i
\(369\) 1.78452 0.0928986
\(370\) 18.6182 8.61804i 0.967916 0.448030i
\(371\) 2.80882 + 0.403847i 0.145827 + 0.0209667i
\(372\) 1.35248 1.59350i 0.0701231 0.0826193i
\(373\) 2.33805 + 7.96267i 0.121060 + 0.412291i 0.997616 0.0690077i \(-0.0219833\pi\)
−0.876556 + 0.481299i \(0.840165\pi\)
\(374\) 0.783140 0.234309i 0.0404952 0.0121158i
\(375\) 7.53254 + 8.69302i 0.388979 + 0.448905i
\(376\) 16.7034 + 4.62735i 0.861411 + 0.238637i
\(377\) −9.47686 2.78266i −0.488083 0.143314i
\(378\) 2.48375 + 2.83695i 0.127750 + 0.145917i
\(379\) −6.28131 4.03676i −0.322649 0.207354i 0.369282 0.929317i \(-0.379604\pi\)
−0.691932 + 0.721963i \(0.743240\pi\)
\(380\) −7.37138 + 6.52057i −0.378144 + 0.334498i
\(381\) 10.4724 12.0858i 0.536519 0.619176i
\(382\) 1.77706 + 0.800596i 0.0909224 + 0.0409620i
\(383\) −0.632087 4.39626i −0.0322982 0.224639i 0.967279 0.253715i \(-0.0816525\pi\)
−0.999577 + 0.0290763i \(0.990743\pi\)
\(384\) 10.9626 + 2.79677i 0.559432 + 0.142722i
\(385\) −3.85654 + 1.76123i −0.196548 + 0.0897603i
\(386\) 26.5353 3.95384i 1.35061 0.201245i
\(387\) 2.38958 5.23245i 0.121469 0.265980i
\(388\) −18.1554 8.06784i −0.921700 0.409582i
\(389\) 12.2804 + 19.1086i 0.622639 + 0.968846i 0.999100 + 0.0424134i \(0.0135046\pi\)
−0.376461 + 0.926433i \(0.622859\pi\)
\(390\) −2.32380 0.321988i −0.117670 0.0163045i
\(391\) 2.53963 + 0.253970i 0.128435 + 0.0128438i
\(392\) 0.281487 + 0.123366i 0.0142172 + 0.00623093i
\(393\) −1.41932 + 0.912143i −0.0715953 + 0.0460115i
\(394\) 2.55798 8.87946i 0.128869 0.447341i
\(395\) −21.5461 9.83976i −1.08410 0.495092i
\(396\) 2.17210 0.0222232i 0.109152 0.00111676i
\(397\) −12.5478 27.4758i −0.629755 1.37897i −0.908207 0.418522i \(-0.862548\pi\)
0.278451 0.960450i \(-0.410179\pi\)
\(398\) 10.0466 + 15.4584i 0.503591 + 0.774859i
\(399\) 8.86985 1.27529i 0.444048 0.0638445i
\(400\) −7.65745 8.48018i −0.382872 0.424009i
\(401\) −12.5596 10.8829i −0.627194 0.543467i 0.282225 0.959348i \(-0.408928\pi\)
−0.909419 + 0.415881i \(0.863473\pi\)
\(402\) 2.93332 3.42043i 0.146301 0.170595i
\(403\) 0.640163 0.996113i 0.0318888 0.0496199i
\(404\) −14.7191 + 9.67362i −0.732305 + 0.481281i
\(405\) 0.412480 1.40478i 0.0204963 0.0698039i
\(406\) −0.168137 32.8684i −0.00834450 1.63123i
\(407\) −8.13326 + 7.04751i −0.403151 + 0.349332i
\(408\) 0.0230993 + 1.50509i 0.00114358 + 0.0745129i
\(409\) 34.5140 10.1342i 1.70661 0.501106i 0.724477 0.689299i \(-0.242081\pi\)
0.982132 + 0.188194i \(0.0602632\pi\)
\(410\) −3.11853 1.98169i −0.154013 0.0978686i
\(411\) −0.905166 + 6.29557i −0.0446486 + 0.310538i
\(412\) −18.1475 + 5.53088i −0.894064 + 0.272487i
\(413\) 21.4834i 1.05713i
\(414\) 6.29812 + 2.51668i 0.309536 + 0.123688i
\(415\) 23.0444i 1.13120i
\(416\) 6.36548 + 0.749615i 0.312094 + 0.0367529i
\(417\) 2.90089 20.1761i 0.142057 0.988030i
\(418\) 2.76877 4.35713i 0.135425 0.213114i
\(419\) −16.6886 + 4.90023i −0.815294 + 0.239392i −0.662688 0.748895i \(-0.730585\pi\)
−0.152605 + 0.988287i \(0.548766\pi\)
\(420\) −1.19007 7.71586i −0.0580693 0.376495i
\(421\) 8.84700 7.66597i 0.431177 0.373617i −0.412062 0.911156i \(-0.635191\pi\)
0.843239 + 0.537539i \(0.180646\pi\)
\(422\) −28.1858 + 0.144184i −1.37207 + 0.00701874i
\(423\) −1.72645 + 5.87974i −0.0839427 + 0.285883i
\(424\) 1.29242 + 2.71880i 0.0627655 + 0.132037i
\(425\) 0.821874 1.27886i 0.0398667 0.0620338i
\(426\) −11.2186 9.62096i −0.543544 0.466137i
\(427\) 10.5730 + 9.16159i 0.511665 + 0.443361i
\(428\) 22.6321 + 14.2197i 1.09396 + 0.687336i
\(429\) 1.21808 0.175134i 0.0588096 0.00845555i
\(430\) −9.98645 + 6.49033i −0.481590 + 0.312991i
\(431\) 9.93131 + 21.7465i 0.478374 + 1.04749i 0.982907 + 0.184101i \(0.0589375\pi\)
−0.504533 + 0.863392i \(0.668335\pi\)
\(432\) −1.04817 + 3.86023i −0.0504300 + 0.185725i
\(433\) −36.3891 16.6184i −1.74875 0.798627i −0.988910 0.148516i \(-0.952550\pi\)
−0.759839 0.650111i \(-0.774722\pi\)
\(434\) 3.78644 + 1.09079i 0.181755 + 0.0523597i
\(435\) −10.7366 + 6.90001i −0.514782 + 0.330830i
\(436\) 4.18711 14.8192i 0.200526 0.709711i
\(437\) 13.1716 9.29095i 0.630082 0.444446i
\(438\) −0.733921 + 5.29674i −0.0350681 + 0.253088i
\(439\) −15.2944 23.7985i −0.729960 1.13584i −0.985604 0.169069i \(-0.945924\pi\)
0.255644 0.966771i \(-0.417712\pi\)
\(440\) −3.82052 2.37325i −0.182136 0.113140i
\(441\) −0.0451386 + 0.0988396i −0.00214945 + 0.00470665i
\(442\) 0.125678 + 0.843455i 0.00597787 + 0.0401190i
\(443\) 14.4628 6.60494i 0.687148 0.313810i −0.0410690 0.999156i \(-0.513076\pi\)
0.728217 + 0.685346i \(0.240349\pi\)
\(444\) −8.41638 17.9412i −0.399424 0.851454i
\(445\) −2.09291 14.5565i −0.0992135 0.690045i
\(446\) −16.6564 + 36.9717i −0.788703 + 1.75066i
\(447\) 6.82211 7.87314i 0.322675 0.372387i
\(448\) 3.68199 + 21.0095i 0.173958 + 0.992603i
\(449\) 21.1730 + 13.6071i 0.999216 + 0.642157i 0.934580 0.355752i \(-0.115775\pi\)
0.0646355 + 0.997909i \(0.479412\pi\)
\(450\) 3.03939 2.66099i 0.143278 0.125440i
\(451\) 1.85968 + 0.546050i 0.0875687 + 0.0257125i
\(452\) −15.6062 2.08111i −0.734056 0.0978871i
\(453\) 2.94126 + 3.39440i 0.138192 + 0.159483i
\(454\) −5.12133 17.1172i −0.240356 0.803352i
\(455\) −1.24607 4.24374i −0.0584168 0.198949i
\(456\) 6.33481 + 7.08799i 0.296654 + 0.331926i
\(457\) −20.7480 2.98311i −0.970551 0.139544i −0.361238 0.932474i \(-0.617646\pi\)
−0.609313 + 0.792930i \(0.708555\pi\)
\(458\) 14.5805 + 31.4995i 0.681303 + 1.47187i
\(459\) −0.532191 −0.0248406
\(460\) −8.21148 11.3920i −0.382862 0.531154i
\(461\) −3.90143 −0.181708 −0.0908538 0.995864i \(-0.528960\pi\)
−0.0908538 + 0.995864i \(0.528960\pi\)
\(462\) 1.72027 + 3.71643i 0.0800341 + 0.172904i
\(463\) −20.8724 3.00100i −0.970025 0.139469i −0.360953 0.932584i \(-0.617549\pi\)
−0.609071 + 0.793115i \(0.708458\pi\)
\(464\) 28.9415 19.4476i 1.34358 0.902834i
\(465\) −0.431059 1.46805i −0.0199899 0.0680794i
\(466\) 9.73879 + 32.5504i 0.451141 + 1.50787i
\(467\) 17.7236 + 20.4541i 0.820151 + 0.946505i 0.999303 0.0373168i \(-0.0118811\pi\)
−0.179153 + 0.983821i \(0.557336\pi\)
\(468\) −0.299534 + 2.24621i −0.0138460 + 0.103831i
\(469\) 8.15095 + 2.39333i 0.376376 + 0.110514i
\(470\) 9.54640 8.35788i 0.440343 0.385520i
\(471\) 10.2167 + 6.56589i 0.470762 + 0.302540i
\(472\) 18.9812 12.6142i 0.873682 0.580617i
\(473\) 4.09130 4.72161i 0.188118 0.217100i
\(474\) −9.39802 + 20.8605i −0.431665 + 0.958156i
\(475\) −1.36629 9.50278i −0.0626899 0.436018i
\(476\) −2.56922 + 1.20524i −0.117760 + 0.0552421i
\(477\) −0.968141 + 0.442135i −0.0443281 + 0.0202440i
\(478\) −3.26076 21.8838i −0.149144 1.00094i
\(479\) 15.1090 33.0841i 0.690349 1.51165i −0.160945 0.986963i \(-0.551454\pi\)
0.851294 0.524689i \(-0.175818\pi\)
\(480\) 6.11844 5.58192i 0.279267 0.254779i
\(481\) −6.06973 9.44469i −0.276756 0.430641i
\(482\) 1.87582 13.5379i 0.0854414 0.616634i
\(483\) 0.551296 + 12.7748i 0.0250848 + 0.581273i
\(484\) −18.9008 5.34035i −0.859126 0.242743i
\(485\) −12.2349 + 7.86289i −0.555558 + 0.357036i
\(486\) −1.35895 0.391484i −0.0616431 0.0177581i
\(487\) −25.5953 11.6890i −1.15983 0.529678i −0.259870 0.965644i \(-0.583680\pi\)
−0.899964 + 0.435965i \(0.856407\pi\)
\(488\) −1.88646 + 14.7210i −0.0853962 + 0.666387i
\(489\) −3.49901 7.66176i −0.158231 0.346477i
\(490\) 0.188641 0.122601i 0.00852195 0.00553853i
\(491\) 2.60493 0.374532i 0.117559 0.0169024i −0.0832843 0.996526i \(-0.526541\pi\)
0.200843 + 0.979623i \(0.435632\pi\)
\(492\) −1.89875 + 3.02206i −0.0856025 + 0.136245i
\(493\) 3.50608 + 3.03803i 0.157906 + 0.136826i
\(494\) 4.08809 + 3.50590i 0.183932 + 0.157738i
\(495\) 0.859701 1.33772i 0.0386407 0.0601261i
\(496\) 1.25951 + 3.98591i 0.0565536 + 0.178973i
\(497\) 7.84987 26.7342i 0.352115 1.19919i
\(498\) 22.2592 0.113866i 0.997457 0.00510245i
\(499\) −0.252294 + 0.218614i −0.0112942 + 0.00978651i −0.660490 0.750835i \(-0.729651\pi\)
0.649195 + 0.760622i \(0.275106\pi\)
\(500\) −22.7362 + 3.50675i −1.01679 + 0.156826i
\(501\) −19.7575 + 5.80131i −0.882698 + 0.259184i
\(502\) −14.0862 + 22.1671i −0.628699 + 0.989366i
\(503\) −1.26373 + 8.78944i −0.0563470 + 0.391902i 0.942058 + 0.335449i \(0.108888\pi\)
−0.998405 + 0.0564526i \(0.982021\pi\)
\(504\) −7.44707 + 1.18764i −0.331719 + 0.0529017i
\(505\) 12.8937i 0.573764i
\(506\) 5.79327 + 4.54984i 0.257542 + 0.202265i
\(507\) 11.7162i 0.520335i
\(508\) 9.32434 + 30.5943i 0.413701 + 1.35740i
\(509\) 1.91464 13.3166i 0.0848647 0.590247i −0.902368 0.430965i \(-0.858173\pi\)
0.987233 0.159282i \(-0.0509178\pi\)
\(510\) 0.930026 + 0.590991i 0.0411823 + 0.0261695i
\(511\) −9.67295 + 2.84023i −0.427906 + 0.125645i
\(512\) −16.4006 + 15.5891i −0.724810 + 0.688948i
\(513\) −2.54006 + 2.20097i −0.112146 + 0.0971753i
\(514\) 0.0419600 + 8.20259i 0.00185078 + 0.361801i
\(515\) −3.91271 + 13.3255i −0.172414 + 0.587190i
\(516\) 6.31852 + 9.61410i 0.278157 + 0.423237i
\(517\) −3.59831 + 5.59907i −0.158253 + 0.246247i
\(518\) 24.3217 28.3606i 1.06863 1.24609i
\(519\) 4.08772 + 3.54203i 0.179431 + 0.155478i
\(520\) 3.01783 3.59271i 0.132341 0.157551i
\(521\) −18.2750 + 2.62755i −0.800643 + 0.115115i −0.530477 0.847699i \(-0.677987\pi\)
−0.270165 + 0.962814i \(0.587078\pi\)
\(522\) 6.71795 + 10.3367i 0.294037 + 0.452425i
\(523\) 8.19072 + 17.9352i 0.358155 + 0.784251i 0.999850 + 0.0172910i \(0.00550416\pi\)
−0.641695 + 0.766960i \(0.721769\pi\)
\(524\) −0.0345213 3.37412i −0.00150807 0.147399i
\(525\) 6.92768 + 3.16377i 0.302349 + 0.138078i
\(526\) 6.93951 24.0890i 0.302577 1.05033i
\(527\) −0.467874 + 0.300685i −0.0203809 + 0.0130980i
\(528\) −2.27351 + 3.70206i −0.0989418 + 0.161112i
\(529\) 11.3214 + 20.0206i 0.492235 + 0.870462i
\(530\) 2.18285 + 0.302458i 0.0948170 + 0.0131379i
\(531\) 4.35629 + 6.77852i 0.189047 + 0.294163i
\(532\) −7.27794 + 16.3779i −0.315539 + 0.710070i
\(533\) −0.839947 + 1.83923i −0.0363821 + 0.0796658i
\(534\) −14.0502 + 2.09352i −0.608010 + 0.0905956i
\(535\) 17.7982 8.12816i 0.769483 0.351411i
\(536\) 2.67135 + 8.60690i 0.115385 + 0.371761i
\(537\) 0.486682 + 3.38495i 0.0210019 + 0.146071i
\(538\) 38.1878 + 17.2042i 1.64639 + 0.741727i
\(539\) −0.0772836 + 0.0891901i −0.00332884 + 0.00384169i
\(540\) 1.94008 + 2.19323i 0.0834878 + 0.0943814i
\(541\) −26.8115 17.2307i −1.15272 0.740805i −0.182538 0.983199i \(-0.558431\pi\)
−0.970178 + 0.242394i \(0.922067\pi\)
\(542\) 10.7281 + 12.2537i 0.460812 + 0.526341i
\(543\) −1.41752 0.416222i −0.0608318 0.0178618i
\(544\) −2.57342 1.56231i −0.110334 0.0669836i
\(545\) −7.38223 8.51954i −0.316220 0.364937i
\(546\) −4.09298 + 1.22458i −0.175163 + 0.0524073i
\(547\) −2.93808 10.0062i −0.125623 0.427833i 0.872531 0.488558i \(-0.162477\pi\)
−0.998155 + 0.0607248i \(0.980659\pi\)
\(548\) −9.69832 8.23144i −0.414292 0.351630i
\(549\) −5.19380 0.746755i −0.221666 0.0318707i
\(550\) 3.98163 1.84302i 0.169777 0.0785867i
\(551\) 29.2982 1.24815
\(552\) −10.9632 + 7.98797i −0.466626 + 0.339990i
\(553\) −43.1351 −1.83429
\(554\) 2.92180 1.35245i 0.124136 0.0574601i
\(555\) −14.3594 2.06457i −0.609522 0.0876361i
\(556\) 31.0813 + 26.3803i 1.31814 + 1.11877i
\(557\) −4.07218 13.8686i −0.172544 0.587631i −0.999672 0.0256170i \(-0.991845\pi\)
0.827128 0.562014i \(-0.189973\pi\)
\(558\) −1.41590 + 0.423625i −0.0599399 + 0.0179335i
\(559\) 4.26811 + 4.92566i 0.180522 + 0.208333i
\(560\) 14.3329 + 6.19441i 0.605676 + 0.261762i
\(561\) −0.554604 0.162846i −0.0234154 0.00687538i
\(562\) 10.5925 + 12.0987i 0.446816 + 0.510354i
\(563\) −32.0247 20.5810i −1.34968 0.867385i −0.352034 0.935987i \(-0.614510\pi\)
−0.997644 + 0.0686018i \(0.978146\pi\)
\(564\) −8.12027 9.17982i −0.341925 0.386540i
\(565\) −7.54763 + 8.71043i −0.317531 + 0.366450i
\(566\) 26.2842 + 11.8415i 1.10481 + 0.497734i
\(567\) −0.379441 2.63907i −0.0159350 0.110830i
\(568\) 28.2297 8.76172i 1.18449 0.367634i
\(569\) −19.7896 + 9.03761i −0.829623 + 0.378876i −0.784518 0.620106i \(-0.787090\pi\)
−0.0451053 + 0.998982i \(0.514362\pi\)
\(570\) 6.88300 1.02559i 0.288297 0.0429573i
\(571\) 6.93823 15.1926i 0.290356 0.635790i −0.707097 0.707116i \(-0.749996\pi\)
0.997453 + 0.0713259i \(0.0227230\pi\)
\(572\) −0.999470 + 2.24915i −0.0417899 + 0.0940416i
\(573\) −0.745114 1.15942i −0.0311276 0.0484355i
\(574\) −6.66502 0.923512i −0.278193 0.0385466i
\(575\) 13.6864 0.590635i 0.570761 0.0246312i
\(576\) −5.42196 5.88238i −0.225915 0.245099i
\(577\) 23.0810 14.8332i 0.960874 0.617516i 0.0366340 0.999329i \(-0.488336\pi\)
0.924240 + 0.381813i \(0.124700\pi\)
\(578\) −6.54434 + 22.7172i −0.272209 + 0.944912i
\(579\) −17.2561 7.88059i −0.717139 0.327506i
\(580\) −0.261141 25.5240i −0.0108433 1.05983i
\(581\) 17.4331 + 38.1732i 0.723248 + 1.58369i
\(582\) 7.65543 + 11.7792i 0.317328 + 0.488262i
\(583\) −1.14420 + 0.164512i −0.0473880 + 0.00681337i
\(584\) −8.18903 6.87868i −0.338864 0.284642i
\(585\) 1.25369 + 1.08633i 0.0518338 + 0.0449142i
\(586\) −26.9674 + 31.4456i −1.11401 + 1.29900i
\(587\) −12.7989 + 19.9154i −0.528266 + 0.821997i −0.998154 0.0607283i \(-0.980658\pi\)
0.469889 + 0.882726i \(0.344294\pi\)
\(588\) −0.119355 0.181608i −0.00492212 0.00748938i
\(589\) −0.989549 + 3.37009i −0.0407736 + 0.138862i
\(590\) −0.0853430 16.6833i −0.00351352 0.686843i
\(591\) −4.93812 + 4.27890i −0.203127 + 0.176011i
\(592\) 39.3383 + 4.83672i 1.61679 + 0.198788i
\(593\) 2.67115 0.784320i 0.109691 0.0322081i −0.226426 0.974028i \(-0.572704\pi\)
0.336117 + 0.941820i \(0.390886\pi\)
\(594\) −1.29639 0.823798i −0.0531914 0.0338008i
\(595\) −0.295650 + 2.05629i −0.0121205 + 0.0842997i
\(596\) 6.07420 + 19.9302i 0.248809 + 0.816374i
\(597\) 13.0364i 0.533545i
\(598\) −5.55825 + 5.30662i −0.227294 + 0.217004i
\(599\) 37.2149i 1.52056i −0.649595 0.760280i \(-0.725062\pi\)
0.649595 0.760280i \(-0.274938\pi\)
\(600\) 1.27239 + 7.97847i 0.0519450 + 0.325720i
\(601\) −3.84761 + 26.7607i −0.156947 + 1.09159i 0.747271 + 0.664520i \(0.231364\pi\)
−0.904218 + 0.427071i \(0.859545\pi\)
\(602\) −11.6327 + 18.3061i −0.474114 + 0.746099i
\(603\) −3.05713 + 0.897655i −0.124496 + 0.0365553i
\(604\) −8.87788 + 1.36929i −0.361236 + 0.0557157i
\(605\) −10.8660 + 9.41548i −0.441767 + 0.382794i
\(606\) 12.4544 0.0637100i 0.505925 0.00258804i
\(607\) −1.66665 + 5.67608i −0.0676471 + 0.230385i −0.986377 0.164502i \(-0.947398\pi\)
0.918730 + 0.394887i \(0.129216\pi\)
\(608\) −18.7437 + 3.18617i −0.760157 + 0.129216i
\(609\) −12.5655 + 19.5522i −0.509178 + 0.792296i
\(610\) 8.24711 + 7.07263i 0.333916 + 0.286362i
\(611\) −5.24736 4.54687i −0.212286 0.183947i
\(612\) 0.566258 0.901256i 0.0228896 0.0364311i
\(613\) 28.9604 4.16388i 1.16970 0.168178i 0.470035 0.882648i \(-0.344241\pi\)
0.699666 + 0.714470i \(0.253332\pi\)
\(614\) 11.8594 7.70757i 0.478606 0.311052i
\(615\) 1.08535 + 2.37659i 0.0437656 + 0.0958333i
\(616\) −8.12409 1.04109i −0.327329 0.0419466i
\(617\) −2.21102 1.00974i −0.0890125 0.0406506i 0.370411 0.928868i \(-0.379217\pi\)
−0.459424 + 0.888217i \(0.651944\pi\)
\(618\) 12.8907 + 3.71354i 0.518541 + 0.149381i
\(619\) −10.5790 + 6.79873i −0.425207 + 0.273264i −0.735695 0.677313i \(-0.763144\pi\)
0.310487 + 0.950577i \(0.399508\pi\)
\(620\) 2.94477 + 0.832036i 0.118265 + 0.0334154i
\(621\) −2.76436 3.91897i −0.110930 0.157263i
\(622\) −1.51875 + 10.9609i −0.0608963 + 0.439491i
\(623\) −14.4790 22.5297i −0.580088 0.902634i
\(624\) −3.48520 2.89725i −0.139520 0.115983i
\(625\) −1.06276 + 2.32713i −0.0425106 + 0.0930852i
\(626\) 1.39676 + 9.37402i 0.0558257 + 0.374661i
\(627\) −3.32051 + 1.51643i −0.132608 + 0.0605602i
\(628\) −21.9899 + 10.3156i −0.877494 + 0.411639i
\(629\) 0.750467 + 5.21961i 0.0299231 + 0.208120i
\(630\) −2.26756 + 5.03324i −0.0903418 + 0.200529i
\(631\) −8.55833 + 9.87683i −0.340702 + 0.393191i −0.900082 0.435720i \(-0.856494\pi\)
0.559380 + 0.828911i \(0.311039\pi\)
\(632\) −25.3273 38.1112i −1.00747 1.51598i
\(633\) 16.7667 + 10.7753i 0.666418 + 0.428281i
\(634\) −3.54858 + 3.10678i −0.140932 + 0.123386i
\(635\) 22.4650 + 6.59632i 0.891496 + 0.261767i
\(636\) 0.281366 2.10997i 0.0111569 0.0836656i
\(637\) −0.0806235 0.0930445i −0.00319442 0.00368656i
\(638\) 3.83792 + 12.8276i 0.151945 + 0.507851i
\(639\) 2.94421 + 10.0271i 0.116471 + 0.396664i
\(640\) 2.94279 + 16.3007i 0.116324 + 0.644342i
\(641\) 0.522158 + 0.0750750i 0.0206240 + 0.00296528i 0.152619 0.988285i \(-0.451229\pi\)
−0.131995 + 0.991250i \(0.542138\pi\)
\(642\) −7.93914 17.1516i −0.313333 0.676918i
\(643\) 40.8477 1.61088 0.805438 0.592681i \(-0.201930\pi\)
0.805438 + 0.592681i \(0.201930\pi\)
\(644\) −22.2205 12.6589i −0.875608 0.498831i
\(645\) 8.42180 0.331608
\(646\) −1.06258 2.29558i −0.0418067 0.0903185i
\(647\) 6.04653 + 0.869360i 0.237714 + 0.0341780i 0.260142 0.965570i \(-0.416231\pi\)
−0.0224283 + 0.999748i \(0.507140\pi\)
\(648\) 2.10891 1.88481i 0.0828457 0.0740423i
\(649\) 2.46558 + 8.39698i 0.0967823 + 0.329610i
\(650\) 1.31197 + 4.38504i 0.0514596 + 0.171996i
\(651\) −1.82464 2.10575i −0.0715133 0.0825307i
\(652\) 16.6980 + 2.22670i 0.653945 + 0.0872042i
\(653\) −34.7707 10.2096i −1.36068 0.399532i −0.481679 0.876348i \(-0.659973\pi\)
−0.879003 + 0.476816i \(0.841791\pi\)
\(654\) −8.19277 + 7.17278i −0.320363 + 0.280478i
\(655\) −2.07800 1.33545i −0.0811943 0.0521804i
\(656\) −3.09750 6.43101i −0.120937 0.251089i
\(657\) 2.47612 2.85760i 0.0966027 0.111485i
\(658\) 9.49094 21.0668i 0.369995 0.821269i
\(659\) 6.24512 + 43.4357i 0.243275 + 1.69202i 0.635463 + 0.772131i \(0.280809\pi\)
−0.392188 + 0.919885i \(0.628282\pi\)
\(660\) 1.35067 + 2.87924i 0.0525749 + 0.112074i
\(661\) 42.7330 19.5155i 1.66212 0.759066i 0.662170 0.749354i \(-0.269636\pi\)
0.999953 0.00971254i \(-0.00309165\pi\)
\(662\) −7.21574 48.4267i −0.280448 1.88216i
\(663\) 0.250494 0.548505i 0.00972838 0.0213022i
\(664\) −23.4912 + 37.8166i −0.911634 + 1.46757i
\(665\) 7.09306 + 11.0370i 0.275057 + 0.427997i
\(666\) −1.92327 + 13.8803i −0.0745251 + 0.537851i
\(667\) −4.15998 + 41.5986i −0.161075 + 1.61070i
\(668\) 11.1978 39.6316i 0.433254 1.53339i
\(669\) 24.1217 15.5021i 0.932600 0.599346i
\(670\) 6.33930 + 1.82621i 0.244908 + 0.0705528i
\(671\) −5.18403 2.36747i −0.200127 0.0913950i
\(672\) 5.91252 13.8751i 0.228080 0.535245i
\(673\) −16.3747 35.8557i −0.631200 1.38213i −0.907086 0.420945i \(-0.861699\pi\)
0.275887 0.961190i \(-0.411029\pi\)
\(674\) 15.4832 10.0627i 0.596389 0.387601i
\(675\) −2.82739 + 0.406517i −0.108826 + 0.0156468i
\(676\) 19.8412 + 12.4662i 0.763122 + 0.479469i
\(677\) 6.31005 + 5.46769i 0.242515 + 0.210141i 0.767634 0.640888i \(-0.221434\pi\)
−0.525119 + 0.851029i \(0.675979\pi\)
\(678\) 8.45092 + 7.24741i 0.324556 + 0.278335i
\(679\) −14.3189 + 22.2807i −0.549510 + 0.855055i
\(680\) −1.99039 + 0.946160i −0.0763280 + 0.0362836i
\(681\) −3.55936 + 12.1221i −0.136395 + 0.464519i
\(682\) −1.60516 + 0.00821111i −0.0614646 + 0.000314419i
\(683\) −7.84903 + 6.80122i −0.300335 + 0.260241i −0.791970 0.610559i \(-0.790945\pi\)
0.491636 + 0.870801i \(0.336399\pi\)
\(684\) −1.02465 6.64340i −0.0391786 0.254017i
\(685\) −8.93482 + 2.62350i −0.341382 + 0.100239i
\(686\) −13.9362 + 21.9310i −0.532087 + 0.837331i
\(687\) 3.49296 24.2941i 0.133265 0.926878i
\(688\) −23.0043 + 0.470771i −0.877030 + 0.0179480i
\(689\) 1.20592i 0.0459421i
\(690\) 0.478868 + 9.91834i 0.0182302 + 0.377585i
\(691\) 49.7323i 1.89191i −0.324305 0.945953i \(-0.605130\pi\)
0.324305 0.945953i \(-0.394870\pi\)
\(692\) −10.3478 + 3.15372i −0.393362 + 0.119886i
\(693\) 0.412114 2.86631i 0.0156549 0.108882i
\(694\) −16.2147 10.3037i −0.615502 0.391124i
\(695\) 28.6344 8.40783i 1.08617 0.318927i
\(696\) −24.6530 + 0.378360i −0.934468 + 0.0143417i
\(697\) 0.717742 0.621927i 0.0271864 0.0235572i
\(698\) −0.135631 26.5140i −0.00513371 1.00357i
\(699\) 6.76853 23.0515i 0.256009 0.871888i
\(700\) −12.7289 + 8.36561i −0.481108 + 0.316190i
\(701\) 21.5076 33.4665i 0.812332 1.26401i −0.149060 0.988828i \(-0.547625\pi\)
0.961391 0.275185i \(-0.0887390\pi\)
\(702\) 1.04312 1.21634i 0.0393700 0.0459078i
\(703\) 25.1685 + 21.8086i 0.949247 + 0.822528i
\(704\) −3.85033 7.78918i −0.145115 0.293566i
\(705\) −8.88052 + 1.27683i −0.334460 + 0.0480881i
\(706\) −19.5096 30.0188i −0.734255 1.12977i
\(707\) 9.75415 + 21.3586i 0.366843 + 0.803273i
\(708\) −16.1145 + 0.164870i −0.605618 + 0.00619619i
\(709\) 3.93001 + 1.79478i 0.147595 + 0.0674042i 0.487843 0.872931i \(-0.337784\pi\)
−0.340248 + 0.940336i \(0.610511\pi\)
\(710\) 5.98978 20.7922i 0.224792 0.780317i
\(711\) 13.6102 8.74673i 0.510421 0.328028i
\(712\) 11.4042 26.0212i 0.427391 0.975187i
\(713\) −4.64447 1.88351i −0.173937 0.0705378i
\(714\) 1.98768 + 0.275415i 0.0743872 + 0.0103072i
\(715\) 0.974080 + 1.51570i 0.0364285 + 0.0566839i
\(716\) −6.25018 2.77744i −0.233580 0.103798i
\(717\) −6.49918 + 14.2312i −0.242716 + 0.531474i
\(718\) −48.0143 + 7.15429i −1.79188 + 0.266996i
\(719\) −3.15959 + 1.44294i −0.117833 + 0.0538125i −0.473459 0.880816i \(-0.656995\pi\)
0.355626 + 0.934628i \(0.384268\pi\)
\(720\) −5.77846 + 0.951871i −0.215350 + 0.0354741i
\(721\) 3.59931 + 25.0337i 0.134045 + 0.932304i
\(722\) 9.93334 + 4.47513i 0.369680 + 0.166547i
\(723\) −6.32870 + 7.30371i −0.235367 + 0.271628i
\(724\) 2.21313 1.95768i 0.0822502 0.0727567i
\(725\) 20.9474 + 13.4621i 0.777968 + 0.499970i
\(726\) 9.14834 + 10.4493i 0.339527 + 0.387809i
\(727\) −35.6126 10.4568i −1.32080 0.387822i −0.456018 0.889971i \(-0.650725\pi\)
−0.864781 + 0.502149i \(0.832543\pi\)
\(728\) 2.28117 8.23435i 0.0845457 0.305185i
\(729\) 0.654861 + 0.755750i 0.0242541 + 0.0279907i
\(730\) −7.50045 + 2.24407i −0.277604 + 0.0830567i
\(731\) −0.862471 2.93731i −0.0318996 0.108640i
\(732\) 6.79088 8.00104i 0.250998 0.295727i
\(733\) 26.6005 + 3.82457i 0.982510 + 0.141264i 0.614805 0.788679i \(-0.289235\pi\)
0.367705 + 0.929943i \(0.380144\pi\)
\(734\) 21.7579 10.0713i 0.803100 0.371740i
\(735\) −0.159086 −0.00586796
\(736\) −1.86246 27.0653i −0.0686513 0.997641i
\(737\) −3.46055 −0.127471
\(738\) 2.29024 1.06011i 0.0843050 0.0390232i
\(739\) 28.2442 + 4.06090i 1.03898 + 0.149383i 0.640629 0.767851i \(-0.278674\pi\)
0.398351 + 0.917233i \(0.369583\pi\)
\(740\) 18.7749 22.1206i 0.690178 0.813171i
\(741\) −1.07288 3.65388i −0.0394131 0.134229i
\(742\) 3.84472 1.15031i 0.141144 0.0422291i
\(743\) 14.8215 + 17.1049i 0.543747 + 0.627517i 0.959415 0.281999i \(-0.0909976\pi\)
−0.415668 + 0.909516i \(0.636452\pi\)
\(744\) 0.789134 2.84854i 0.0289311 0.104433i
\(745\) 14.6345 + 4.29707i 0.536166 + 0.157433i
\(746\) 7.73093 + 8.83029i 0.283049 + 0.323300i
\(747\) −13.2412 8.50958i −0.484469 0.311349i
\(748\) 0.865882 0.765941i 0.0316598 0.0280056i
\(749\) 23.3339 26.9287i 0.852602 0.983955i
\(750\) 14.8314 + 6.68178i 0.541565 + 0.243984i
\(751\) −0.504793 3.51091i −0.0184201 0.128115i 0.978536 0.206074i \(-0.0660688\pi\)
−0.996957 + 0.0779590i \(0.975160\pi\)
\(752\) 24.1859 3.98408i 0.881969 0.145285i
\(753\) 16.8932 7.71489i 0.615624 0.281146i
\(754\) −13.8156 + 2.05857i −0.503134 + 0.0749686i
\(755\) −2.73170 + 5.98158i −0.0994166 + 0.217692i
\(756\) 4.87294 + 2.16542i 0.177227 + 0.0787557i
\(757\) 12.4776 + 19.4155i 0.453505 + 0.705668i 0.990438 0.137957i \(-0.0440536\pi\)
−0.536933 + 0.843625i \(0.680417\pi\)
\(758\) −10.4595 1.44927i −0.379905 0.0526399i
\(759\) −1.68160 4.92988i −0.0610383 0.178943i
\(760\) −5.58678 + 12.7475i −0.202654 + 0.462400i
\(761\) −0.748673 + 0.481143i −0.0271394 + 0.0174414i −0.554140 0.832423i \(-0.686953\pi\)
0.527001 + 0.849865i \(0.323316\pi\)
\(762\) 6.26055 21.7321i 0.226796 0.787271i
\(763\) −18.6738 8.52803i −0.676036 0.308735i
\(764\) 2.75627 0.0281999i 0.0997182 0.00102024i
\(765\) −0.323680 0.708760i −0.0117027 0.0256253i
\(766\) −3.42285 5.26663i −0.123673 0.190291i
\(767\) −9.03675 + 1.29929i −0.326298 + 0.0469146i
\(768\) 15.7307 2.92306i 0.567634 0.105477i
\(769\) 5.64788 + 4.89392i 0.203668 + 0.176479i 0.750722 0.660618i \(-0.229706\pi\)
−0.547055 + 0.837097i \(0.684251\pi\)
\(770\) −3.90319 + 4.55135i −0.140661 + 0.164019i
\(771\) 3.13581 4.87942i 0.112934 0.175728i
\(772\) 31.7063 20.8378i 1.14114 0.749970i
\(773\) 7.13525 24.3004i 0.256637 0.874025i −0.725875 0.687827i \(-0.758565\pi\)
0.982512 0.186199i \(-0.0596168\pi\)
\(774\) −0.0416134 8.13484i −0.00149576 0.292401i
\(775\) −2.25601 + 1.95484i −0.0810382 + 0.0702200i
\(776\) −28.0932 + 0.431160i −1.00849 + 0.0154777i
\(777\) −25.3483 + 7.44294i −0.909366 + 0.267014i
\(778\) 27.1122 + 17.2286i 0.972018 + 0.617675i
\(779\) 0.853568 5.93670i 0.0305823 0.212704i
\(780\) −3.17362 + 0.967235i −0.113634 + 0.0346326i
\(781\) 11.3502i 0.406143i
\(782\) 3.41022 1.18275i 0.121949 0.0422949i
\(783\) 8.71717i 0.311526i
\(784\) 0.434545 0.00889275i 0.0155195 0.000317598i
\(785\) −2.53047 + 17.5998i −0.0903163 + 0.628163i
\(786\) −1.27968 + 2.01380i −0.0456447 + 0.0718297i
\(787\) 4.57775 1.34415i 0.163179 0.0479137i −0.199123 0.979975i \(-0.563809\pi\)
0.362302 + 0.932061i \(0.381991\pi\)
\(788\) −1.99203 12.9154i −0.0709630 0.460092i
\(789\) −13.3966 + 11.6082i −0.476930 + 0.413262i
\(790\) −33.4974 + 0.171355i −1.19179 + 0.00609653i
\(791\) −5.91326 + 20.1387i −0.210251 + 0.716050i
\(792\) 2.77446 1.31888i 0.0985861 0.0468643i
\(793\) 3.21428 5.00152i 0.114143 0.177609i
\(794\) −32.4260 27.8081i −1.15075 0.986874i
\(795\) −1.17765 1.02044i −0.0417670 0.0361913i
\(796\) 22.0769 + 13.8709i 0.782495 + 0.491641i
\(797\) −24.4084 + 3.50939i −0.864589 + 0.124309i −0.560319 0.828277i \(-0.689322\pi\)
−0.304270 + 0.952586i \(0.598412\pi\)
\(798\) 10.6259 6.90591i 0.376153 0.244467i
\(799\) 1.35477 + 2.96654i 0.0479284 + 0.104949i
\(800\) −14.8652 6.33442i −0.525565 0.223956i
\(801\) 9.13694 + 4.17270i 0.322838 + 0.147435i
\(802\) −22.5839 6.50594i −0.797466 0.229733i
\(803\) 3.45480 2.22027i 0.121917 0.0783515i
\(804\) 1.73266 6.13231i 0.0611063 0.216270i
\(805\) −16.6779 + 8.50385i −0.587818 + 0.299722i
\(806\) 0.229831 1.65870i 0.00809544 0.0584251i
\(807\) −16.0120 24.9151i −0.563648 0.877053i
\(808\) −13.1437 + 21.1591i −0.462395 + 0.744374i
\(809\) −16.5352 + 36.2069i −0.581345 + 1.27297i 0.359188 + 0.933265i \(0.383054\pi\)
−0.940533 + 0.339703i \(0.889673\pi\)
\(810\) −0.305146 2.04792i −0.0107218 0.0719565i
\(811\) −22.7805 + 10.4035i −0.799932 + 0.365317i −0.773069 0.634322i \(-0.781279\pi\)
−0.0268636 + 0.999639i \(0.508552\pi\)
\(812\) −19.7415 42.0832i −0.692792 1.47683i
\(813\) −1.63893 11.3990i −0.0574797 0.399780i
\(814\) −6.25153 + 13.8763i −0.219116 + 0.486366i
\(815\) 8.07565 9.31979i 0.282878 0.326458i
\(816\) 0.923755 + 1.91789i 0.0323379 + 0.0671397i
\(817\) −16.2642 10.4523i −0.569011 0.365681i
\(818\) 38.2747 33.5095i 1.33824 1.17163i
\(819\) 2.89856 + 0.851095i 0.101284 + 0.0297397i
\(820\) −5.17953 0.690696i −0.180877 0.0241201i
\(821\) −8.99198 10.3773i −0.313822 0.362170i 0.576823 0.816869i \(-0.304292\pi\)
−0.890645 + 0.454699i \(0.849747\pi\)
\(822\) 2.57825 + 8.61741i 0.0899269 + 0.300567i
\(823\) −1.76925 6.02550i −0.0616721 0.210036i 0.922892 0.385058i \(-0.125819\pi\)
−0.984565 + 0.175022i \(0.944000\pi\)
\(824\) −20.0047 + 17.8790i −0.696897 + 0.622843i
\(825\) −3.07085 0.441521i −0.106913 0.0153718i
\(826\) −12.7624 27.5716i −0.444060 0.959337i
\(827\) 23.5953 0.820488 0.410244 0.911976i \(-0.365444\pi\)
0.410244 + 0.911976i \(0.365444\pi\)
\(828\) 9.57801 0.511559i 0.332859 0.0177779i
\(829\) 3.79790 0.131906 0.0659532 0.997823i \(-0.478991\pi\)
0.0659532 + 0.997823i \(0.478991\pi\)
\(830\) 13.6897 + 29.5750i 0.475177 + 1.02656i
\(831\) −2.25345 0.323998i −0.0781715 0.0112394i
\(832\) 8.61473 2.81942i 0.298662 0.0977458i
\(833\) 0.0162919 + 0.0554849i 0.000564479 + 0.00192244i
\(834\) −8.26283 27.6172i −0.286118 0.956305i
\(835\) −19.7426 22.7842i −0.683220 0.788478i
\(836\) 0.965022 7.23671i 0.0333760 0.250287i
\(837\) 1.00271 + 0.294423i 0.0346588 + 0.0101767i
\(838\) −18.5070 + 16.2029i −0.639315 + 0.559721i
\(839\) 4.44873 + 2.85903i 0.153587 + 0.0987046i 0.615177 0.788389i \(-0.289084\pi\)
−0.461590 + 0.887093i \(0.652721\pi\)
\(840\) −6.11099 9.19550i −0.210849 0.317275i
\(841\) −30.7713 + 35.5119i −1.06108 + 1.22455i
\(842\) 6.80014 15.0941i 0.234348 0.520176i
\(843\) −1.61820 11.2548i −0.0557338 0.387637i
\(844\) −36.0878 + 16.9291i −1.24219 + 0.582723i
\(845\) 15.6034 7.12582i 0.536772 0.245136i
\(846\) 1.27720 + 8.57162i 0.0439110 + 0.294698i
\(847\) −10.8769 + 23.8170i −0.373734 + 0.818362i
\(848\) 3.27381 + 2.72152i 0.112423 + 0.0934573i
\(849\) −11.0209 17.1488i −0.378235 0.588545i
\(850\) 0.295068 2.12952i 0.0101208 0.0730419i
\(851\) −34.5382 + 32.6385i −1.18395 + 1.11883i
\(852\) −20.1133 5.68295i −0.689071 0.194694i
\(853\) −24.9976 + 16.0650i −0.855902 + 0.550055i −0.893411 0.449241i \(-0.851694\pi\)
0.0375080 + 0.999296i \(0.488058\pi\)
\(854\) 19.0119 + 5.47691i 0.650573 + 0.187416i
\(855\) −4.47607 2.04415i −0.153078 0.0699086i
\(856\) 37.4932 + 4.80468i 1.28149 + 0.164221i
\(857\) 21.6505 + 47.4079i 0.739566 + 1.61942i 0.784267 + 0.620423i \(0.213039\pi\)
−0.0447011 + 0.999000i \(0.514234\pi\)
\(858\) 1.45924 0.948378i 0.0498176 0.0323771i
\(859\) −4.33147 + 0.622771i −0.147788 + 0.0212487i −0.215812 0.976435i \(-0.569240\pi\)
0.0680238 + 0.997684i \(0.478331\pi\)
\(860\) −8.96090 + 14.2622i −0.305564 + 0.486336i
\(861\) 3.59579 + 3.11577i 0.122544 + 0.106185i
\(862\) 25.6645 + 22.0095i 0.874135 + 0.749648i
\(863\) 4.42336 6.88288i 0.150573 0.234296i −0.757770 0.652521i \(-0.773711\pi\)
0.908343 + 0.418225i \(0.137348\pi\)
\(864\) 0.947988 + 5.57686i 0.0322512 + 0.189728i
\(865\) −2.23103 + 7.59820i −0.0758574 + 0.258347i
\(866\) −56.5738 + 0.289401i −1.92245 + 0.00983424i
\(867\) 12.6337 10.9472i 0.429063 0.371785i
\(868\) 5.50748 0.849454i 0.186936 0.0288324i
\(869\) 16.8598 4.95048i 0.571929 0.167933i
\(870\) −9.68029 + 15.2336i −0.328193 + 0.516468i
\(871\) 0.513771 3.57336i 0.0174085 0.121079i
\(872\) −3.42976 21.5062i −0.116146 0.728293i
\(873\) 9.93363i 0.336202i
\(874\) 11.3849 19.7486i 0.385101 0.668007i
\(875\) 30.6681i 1.03677i
\(876\) 2.20466 + 7.23378i 0.0744887 + 0.244407i
\(877\) 5.58895 38.8720i 0.188726 1.31261i −0.646587 0.762840i \(-0.723804\pi\)
0.835313 0.549775i \(-0.185287\pi\)
\(878\) −33.7664 21.4570i −1.13956 0.724140i
\(879\) 28.1056 8.25256i 0.947979 0.278352i
\(880\) −6.31307 0.776205i −0.212814 0.0261659i
\(881\) −17.9126 + 15.5213i −0.603490 + 0.522927i −0.902144 0.431434i \(-0.858008\pi\)
0.298655 + 0.954361i \(0.403462\pi\)
\(882\) 0.000786067 0.153665i 2.64682e−5 0.00517417i
\(883\) 1.25426 4.27163i 0.0422093 0.143752i −0.935692 0.352817i \(-0.885224\pi\)
0.977902 + 0.209065i \(0.0670421\pi\)
\(884\) 0.662355 + 1.00782i 0.0222774 + 0.0338968i
\(885\) −6.37797 + 9.92432i −0.214393 + 0.333602i
\(886\) 14.6377 17.0685i 0.491764 0.573427i
\(887\) 27.6293 + 23.9409i 0.927702 + 0.803858i 0.980857 0.194728i \(-0.0623825\pi\)
−0.0531555 + 0.998586i \(0.516928\pi\)
\(888\) −21.4597 18.0258i −0.720139 0.604907i
\(889\) 42.2036 6.06796i 1.41546 0.203513i
\(890\) −11.3334 17.4384i −0.379898 0.584537i
\(891\) 0.451186 + 0.987959i 0.0151153 + 0.0330979i
\(892\) 0.586698 + 57.3441i 0.0196441 + 1.92002i
\(893\) 18.7347 + 8.55587i 0.626934 + 0.286311i
\(894\) 4.07834 14.1571i 0.136400 0.473483i
\(895\) −4.21199 + 2.70688i −0.140791 + 0.0904812i
\(896\) 17.2063 + 24.7760i 0.574821 + 0.827709i
\(897\) 5.34024 1.00450i 0.178305 0.0335393i
\(898\) 35.2567 + 4.88519i 1.17653 + 0.163021i
\(899\) −4.92514 7.66367i −0.164263 0.255598i
\(900\) 2.31994 5.22067i 0.0773315 0.174022i
\(901\) −0.235301 + 0.515236i −0.00783900 + 0.0171650i
\(902\) 2.71108 0.403960i 0.0902691 0.0134504i
\(903\) 13.9508 6.37112i 0.464253 0.212017i
\(904\) −21.2652 + 6.60014i −0.707271 + 0.219518i
\(905\) −0.307825 2.14097i −0.0102325 0.0711683i
\(906\) 5.79126 + 2.60906i 0.192402 + 0.0866802i
\(907\) 13.0006 15.0035i 0.431679 0.498184i −0.497681 0.867360i \(-0.665815\pi\)
0.929359 + 0.369177i \(0.120360\pi\)
\(908\) −16.7413 18.9258i −0.555580 0.628073i
\(909\) −7.40867 4.76126i −0.245730 0.157921i
\(910\) −4.12023 4.70614i −0.136584 0.156007i
\(911\) −1.18433 0.347752i −0.0392387 0.0115215i 0.262054 0.965053i \(-0.415600\pi\)
−0.301293 + 0.953532i \(0.597418\pi\)
\(912\) 12.3407 + 5.33342i 0.408642 + 0.176607i
\(913\) −11.1949 12.9196i −0.370498 0.427578i
\(914\) −28.4000 + 8.49703i −0.939388 + 0.281057i
\(915\) −2.16437 7.37116i −0.0715518 0.243683i
\(916\) 37.4250 + 31.7645i 1.23656 + 1.04953i
\(917\) −4.45251 0.640174i −0.147035 0.0211404i
\(918\) −0.683010 + 0.316153i −0.0225427 + 0.0104346i
\(919\) 14.4334 0.476114 0.238057 0.971251i \(-0.423489\pi\)
0.238057 + 0.971251i \(0.423489\pi\)
\(920\) −17.3060 9.74228i −0.570563 0.321193i
\(921\) −10.0013 −0.329554
\(922\) −5.00706 + 2.31768i −0.164899 + 0.0763286i
\(923\) −11.7202 1.68511i −0.385776 0.0554662i
\(924\) 4.41556 + 3.74770i 0.145261 + 0.123290i
\(925\) 7.97405 + 27.1571i 0.262185 + 0.892921i
\(926\) −28.5703 + 8.54799i −0.938878 + 0.280904i
\(927\) −6.21189 7.16890i −0.204025 0.235458i
\(928\) 25.5903 42.1519i 0.840043 1.38370i
\(929\) 3.66860 + 1.07720i 0.120363 + 0.0353417i 0.341359 0.939933i \(-0.389113\pi\)
−0.220996 + 0.975275i \(0.570931\pi\)
\(930\) −1.42533 1.62801i −0.0467383 0.0533847i
\(931\) 0.307226 + 0.197442i 0.0100689 + 0.00647091i
\(932\) 31.8355 + 35.9895i 1.04281 + 1.17887i
\(933\) 5.12399 5.91340i 0.167752 0.193596i
\(934\) 34.8973 + 15.7218i 1.14187 + 0.514433i
\(935\) −0.120436 0.837652i −0.00393868 0.0273941i
\(936\) 0.949959 + 3.06070i 0.0310504 + 0.100042i
\(937\) 17.5321 8.00665i 0.572749 0.261566i −0.107916 0.994160i \(-0.534418\pi\)
0.680666 + 0.732594i \(0.261691\pi\)
\(938\) 11.8826 1.77055i 0.387982 0.0578106i
\(939\) 2.78395 6.09600i 0.0908507 0.198935i
\(940\) 7.28670 16.3976i 0.237666 0.534829i
\(941\) 16.4766 + 25.6381i 0.537122 + 0.835778i 0.998682 0.0513313i \(-0.0163464\pi\)
−0.461560 + 0.887109i \(0.652710\pi\)
\(942\) 17.0126 + 2.35728i 0.554300 + 0.0768043i
\(943\) 8.30793 + 2.05486i 0.270543 + 0.0669155i
\(944\) 16.8668 27.4649i 0.548966 0.893908i
\(945\) 3.28387 2.11042i 0.106824 0.0686519i
\(946\) 2.44583 8.49015i 0.0795208 0.276039i
\(947\) −37.9832 17.3463i −1.23429 0.563680i −0.311962 0.950095i \(-0.600986\pi\)
−0.922325 + 0.386415i \(0.873713\pi\)
\(948\) 0.331032 + 32.3552i 0.0107514 + 1.05085i
\(949\) 1.77972 + 3.89705i 0.0577723 + 0.126504i
\(950\) −7.39870 11.3841i −0.240045 0.369350i
\(951\) 3.30106 0.474621i 0.107044 0.0153906i
\(952\) −2.58133 + 3.07306i −0.0836614 + 0.0995984i
\(953\) 13.2583 + 11.4883i 0.429477 + 0.372144i 0.842608 0.538528i \(-0.181019\pi\)
−0.413131 + 0.910672i \(0.635565\pi\)
\(954\) −0.979850 + 1.14257i −0.0317238 + 0.0369919i
\(955\) 1.09091 1.69749i 0.0353010 0.0549294i
\(956\) −17.1851 26.1484i −0.555806 0.845700i
\(957\) 2.66738 9.08428i 0.0862243 0.293653i
\(958\) −0.263116 51.4355i −0.00850091 1.66181i
\(959\) −12.8159 + 11.1051i −0.413848 + 0.358601i
\(960\) 4.53637 10.7985i 0.146411 0.348520i
\(961\) −28.6964 + 8.42602i −0.925690 + 0.271807i
\(962\) −13.4005 8.51546i −0.432051 0.274549i
\(963\) −1.90193 + 13.2282i −0.0612888 + 0.426273i
\(964\) −5.63489 18.4888i −0.181487 0.595483i
\(965\) 27.7742i 0.894085i
\(966\) 8.29650 + 16.0676i 0.266935 + 0.516965i
\(967\) 29.7068i 0.955307i −0.878548 0.477654i \(-0.841487\pi\)
0.878548 0.477654i \(-0.158513\pi\)
\(968\) −27.4296 + 4.37440i −0.881620 + 0.140599i
\(969\) −0.254556 + 1.77048i −0.00817752 + 0.0568759i
\(970\) −11.0312 + 17.3594i −0.354189 + 0.557377i
\(971\) 24.3762 7.15750i 0.782269 0.229695i 0.133873 0.990998i \(-0.457258\pi\)
0.648396 + 0.761303i \(0.275440\pi\)
\(972\) −1.97663 + 0.304868i −0.0634004 + 0.00977864i
\(973\) 41.0727 35.5897i 1.31673 1.14095i
\(974\) −39.7927 + 0.203558i −1.27504 + 0.00652242i
\(975\) 0.911827 3.10540i 0.0292018 0.0994523i
\(976\) 6.32404 + 20.0134i 0.202428 + 0.640614i
\(977\) 8.62210 13.4162i 0.275845 0.429224i −0.675496 0.737364i \(-0.736070\pi\)
0.951341 + 0.308140i \(0.0997066\pi\)
\(978\) −9.04213 7.75442i −0.289135 0.247959i
\(979\) 8.24491 + 7.14426i 0.263509 + 0.228331i
\(980\) 0.169269 0.269409i 0.00540710 0.00860594i
\(981\) 7.62131 1.09578i 0.243330 0.0349855i
\(982\) 3.12065 2.02815i 0.0995840 0.0647209i
\(983\) 12.2853 + 26.9011i 0.391841 + 0.858011i 0.998033 + 0.0626931i \(0.0199689\pi\)
−0.606192 + 0.795318i \(0.707304\pi\)
\(984\) −0.641568 + 5.00646i −0.0204524 + 0.159600i
\(985\) −8.70191 3.97403i −0.277266 0.126623i
\(986\) 6.30444 + 1.81617i 0.200774 + 0.0578387i
\(987\) −13.7448 + 8.83321i −0.437500 + 0.281164i
\(988\) 7.32933 + 2.07088i 0.233177 + 0.0658834i
\(989\) 17.1499 21.6083i 0.545335 0.687105i
\(990\) 0.308649 2.22753i 0.00980951 0.0707957i
\(991\) −20.2869 31.5671i −0.644436 1.00276i −0.997736 0.0672517i \(-0.978577\pi\)
0.353300 0.935510i \(-0.385059\pi\)
\(992\) 3.98431 + 4.36727i 0.126502 + 0.138661i
\(993\) −14.3820 + 31.4923i −0.456400 + 0.999377i
\(994\) −5.80722 38.9738i −0.184194 1.23617i
\(995\) 17.3616 7.92877i 0.550399 0.251359i
\(996\) 28.4996 13.3694i 0.903044 0.423625i
\(997\) 3.61588 + 25.1490i 0.114516 + 0.796478i 0.963433 + 0.267951i \(0.0863464\pi\)
−0.848916 + 0.528527i \(0.822744\pi\)
\(998\) −0.193923 + 0.430445i −0.00613851 + 0.0136255i
\(999\) 6.48877 7.48844i 0.205296 0.236924i
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 276.2.m.a.103.22 yes 240
3.2 odd 2 828.2.u.c.379.3 240
4.3 odd 2 inner 276.2.m.a.103.17 yes 240
12.11 even 2 828.2.u.c.379.8 240
23.21 odd 22 inner 276.2.m.a.67.17 240
69.44 even 22 828.2.u.c.343.8 240
92.67 even 22 inner 276.2.m.a.67.22 yes 240
276.251 odd 22 828.2.u.c.343.3 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
276.2.m.a.67.17 240 23.21 odd 22 inner
276.2.m.a.67.22 yes 240 92.67 even 22 inner
276.2.m.a.103.17 yes 240 4.3 odd 2 inner
276.2.m.a.103.22 yes 240 1.1 even 1 trivial
828.2.u.c.343.3 240 276.251 odd 22
828.2.u.c.343.8 240 69.44 even 22
828.2.u.c.379.3 240 3.2 odd 2
828.2.u.c.379.8 240 12.11 even 2