Properties

Label 896.2.bt.a.59.84
Level $896$
Weight $2$
Character 896.59
Analytic conductor $7.155$
Analytic rank $0$
Dimension $4032$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [896,2,Mod(3,896)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(896, base_ring=CyclotomicField(96))
 
chi = DirichletCharacter(H, H._module([48, 9, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("896.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 896 = 2^{7} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 896.bt (of order \(96\), 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: \(7.15459602111\)
Analytic rank: \(0\)
Dimension: \(4032\)
Relative dimension: \(126\) over \(\Q(\zeta_{96})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{96}]$

Embedding invariants

Embedding label 59.84
Character \(\chi\) \(=\) 896.59
Dual form 896.2.bt.a.243.84

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.734041 - 1.20879i) q^{2} +(0.0712645 + 0.0760884i) q^{3} +(-0.922368 - 1.77461i) q^{4} +(-1.69612 - 3.74342i) q^{5} +(0.144286 - 0.0302922i) q^{6} +(2.17401 - 1.50788i) q^{7} +(-2.82219 - 0.187681i) q^{8} +(0.195499 - 2.98273i) q^{9} +O(q^{10})\) \(q+(0.734041 - 1.20879i) q^{2} +(0.0712645 + 0.0760884i) q^{3} +(-0.922368 - 1.77461i) q^{4} +(-1.69612 - 3.74342i) q^{5} +(0.144286 - 0.0302922i) q^{6} +(2.17401 - 1.50788i) q^{7} +(-2.82219 - 0.187681i) q^{8} +(0.195499 - 2.98273i) q^{9} +(-5.77004 - 0.697559i) q^{10} +(-1.01754 - 1.63634i) q^{11} +(0.0692949 - 0.196648i) q^{12} +(0.353391 + 3.58804i) q^{13} +(-0.226905 - 3.73477i) q^{14} +(0.163957 - 0.395828i) q^{15} +(-2.29847 + 3.27369i) q^{16} +(5.93694 + 0.781613i) q^{17} +(-3.46201 - 2.42576i) q^{18} +(-0.173734 + 1.05229i) q^{19} +(-5.07865 + 6.46276i) q^{20} +(0.269662 + 0.0579584i) q^{21} +(-2.72491 + 0.0288585i) q^{22} +(-1.05372 - 1.20153i) q^{23} +(-0.186842 - 0.228111i) q^{24} +(-7.83961 + 8.93936i) q^{25} +(4.59660 + 2.20659i) q^{26} +(0.482642 - 0.396094i) q^{27} +(-4.68113 - 2.46719i) q^{28} +(3.87241 + 7.24477i) q^{29} +(-0.358123 - 0.488744i) q^{30} +(-0.769621 + 0.206219i) q^{31} +(2.27004 + 5.18140i) q^{32} +(0.0519917 - 0.194036i) q^{33} +(5.30277 - 6.60281i) q^{34} +(-9.33199 - 5.58067i) q^{35} +(-5.47350 + 2.40424i) q^{36} +(2.44254 - 6.48969i) q^{37} +(1.14447 + 0.982432i) q^{38} +(-0.247824 + 0.282589i) q^{39} +(4.08421 + 10.8830i) q^{40} +(-1.38004 - 6.93792i) q^{41} +(0.268002 - 0.283422i) q^{42} +(-10.9011 + 3.30682i) q^{43} +(-1.96531 + 3.31504i) q^{44} +(-11.4972 + 4.32724i) q^{45} +(-2.22587 + 0.391752i) q^{46} +(7.07963 - 9.22635i) q^{47} +(-0.412889 + 0.0584107i) q^{48} +(2.45261 - 6.55627i) q^{49} +(5.05126 + 16.0383i) q^{50} +(0.363622 + 0.507433i) q^{51} +(6.04141 - 3.93662i) q^{52} +(5.80854 + 9.34089i) q^{53} +(-0.124518 - 0.874165i) q^{54} +(-4.39962 + 6.58450i) q^{55} +(-6.41847 + 3.84750i) q^{56} +(-0.0924481 + 0.0617718i) q^{57} +(11.5999 + 0.637008i) q^{58} +(4.48104 - 6.25329i) q^{59} +(-0.853668 + 0.0741391i) q^{60} +(-5.78102 + 1.34795i) q^{61} +(-0.315656 + 1.08169i) q^{62} +(-4.07258 - 6.77927i) q^{63} +(7.92955 + 1.05935i) q^{64} +(12.8321 - 7.40863i) q^{65} +(-0.196385 - 0.205278i) q^{66} +(-8.38480 - 8.95236i) q^{67} +(-4.08899 - 11.2567i) q^{68} +(0.0163301 - 0.165802i) q^{69} +(-13.5959 + 7.18402i) q^{70} +(8.27446 + 12.3836i) q^{71} +(-1.11154 + 8.38116i) q^{72} +(1.67941 - 0.828193i) q^{73} +(-6.05177 - 7.71623i) q^{74} +(-1.23887 + 0.0405563i) q^{75} +(2.02765 - 0.662290i) q^{76} +(-4.67954 - 2.02308i) q^{77} +(0.159679 + 0.507000i) q^{78} +(0.0947858 + 0.719970i) q^{79} +(16.1533 + 3.05158i) q^{80} +(-8.82615 - 1.16198i) q^{81} +(-9.39952 - 3.42453i) q^{82} +(-5.37345 + 6.54757i) q^{83} +(-0.145874 - 0.532003i) q^{84} +(-7.14386 - 23.5501i) q^{85} +(-4.00460 + 15.6045i) q^{86} +(-0.275277 + 0.810941i) q^{87} +(2.56459 + 4.80903i) q^{88} +(0.337191 + 0.993332i) q^{89} +(-3.20867 + 17.0741i) q^{90} +(6.17860 + 7.26755i) q^{91} +(-1.16034 + 2.97819i) q^{92} +(-0.0705376 - 0.0438631i) q^{93} +(-5.95603 - 15.3303i) q^{94} +(4.23383 - 1.13445i) q^{95} +(-0.232471 + 0.541974i) q^{96} +(4.98377 - 4.98377i) q^{97} +(-6.12487 - 7.77727i) q^{98} +(-5.07968 + 2.71515i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4032 q - 16 q^{2} - 48 q^{3} - 16 q^{4} - 48 q^{5} - 32 q^{7} - 64 q^{8} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4032 q - 16 q^{2} - 48 q^{3} - 16 q^{4} - 48 q^{5} - 32 q^{7} - 64 q^{8} - 16 q^{9} - 48 q^{10} - 16 q^{11} - 48 q^{12} - 32 q^{14} - 64 q^{15} - 16 q^{16} - 48 q^{17} - 16 q^{18} - 48 q^{19} - 32 q^{21} - 64 q^{22} - 16 q^{23} - 48 q^{24} - 16 q^{25} - 48 q^{26} - 32 q^{28} - 64 q^{29} - 16 q^{30} - 48 q^{31} - 16 q^{32} - 48 q^{33} - 32 q^{35} - 64 q^{36} - 16 q^{37} - 48 q^{38} - 16 q^{39} - 48 q^{40} - 32 q^{42} - 64 q^{43} - 16 q^{44} - 48 q^{45} - 16 q^{46} - 48 q^{47} - 32 q^{49} + 32 q^{50} - 16 q^{51} - 336 q^{52} - 16 q^{53} - 48 q^{54} - 32 q^{56} - 64 q^{57} - 16 q^{58} - 48 q^{59} - 208 q^{60} - 48 q^{61} - 64 q^{63} + 320 q^{64} - 624 q^{66} - 16 q^{67} - 48 q^{68} - 32 q^{70} - 64 q^{71} - 16 q^{72} - 48 q^{73} - 128 q^{74} - 48 q^{75} - 32 q^{77} + 128 q^{78} - 16 q^{79} - 192 q^{80} - 16 q^{81} - 48 q^{82} - 32 q^{84} - 64 q^{85} - 16 q^{86} - 48 q^{87} - 16 q^{88} - 48 q^{89} - 32 q^{91} - 64 q^{92} - 16 q^{93} - 48 q^{94} - 16 q^{95} - 48 q^{96} - 32 q^{98} - 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/896\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(645\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{17}{32}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.734041 1.20879i 0.519045 0.854747i
\(3\) 0.0712645 + 0.0760884i 0.0411446 + 0.0439296i 0.750106 0.661318i \(-0.230003\pi\)
−0.708961 + 0.705247i \(0.750836\pi\)
\(4\) −0.922368 1.77461i −0.461184 0.887304i
\(5\) −1.69612 3.74342i −0.758528 1.67411i −0.738450 0.674308i \(-0.764442\pi\)
−0.0200772 0.999798i \(-0.506391\pi\)
\(6\) 0.144286 0.0302922i 0.0589046 0.0123667i
\(7\) 2.17401 1.50788i 0.821697 0.569924i
\(8\) −2.82219 0.187681i −0.997796 0.0663553i
\(9\) 0.195499 2.98273i 0.0651662 0.994244i
\(10\) −5.77004 0.697559i −1.82465 0.220588i
\(11\) −1.01754 1.63634i −0.306800 0.493374i 0.659182 0.751983i \(-0.270903\pi\)
−0.965982 + 0.258609i \(0.916736\pi\)
\(12\) 0.0692949 0.196648i 0.0200037 0.0567674i
\(13\) 0.353391 + 3.58804i 0.0980130 + 0.995143i 0.910874 + 0.412685i \(0.135409\pi\)
−0.812861 + 0.582458i \(0.802091\pi\)
\(14\) −0.226905 3.73477i −0.0606428 0.998160i
\(15\) 0.163957 0.395828i 0.0423336 0.102202i
\(16\) −2.29847 + 3.27369i −0.574618 + 0.818422i
\(17\) 5.93694 + 0.781613i 1.43992 + 0.189569i 0.809698 0.586846i \(-0.199631\pi\)
0.630221 + 0.776415i \(0.282964\pi\)
\(18\) −3.46201 2.42576i −0.816003 0.571758i
\(19\) −0.173734 + 1.05229i −0.0398573 + 0.241412i −0.999161 0.0409659i \(-0.986956\pi\)
0.959303 + 0.282378i \(0.0911232\pi\)
\(20\) −5.07865 + 6.46276i −1.13562 + 1.44512i
\(21\) 0.269662 + 0.0579584i 0.0588450 + 0.0126476i
\(22\) −2.72491 + 0.0288585i −0.580953 + 0.00615265i
\(23\) −1.05372 1.20153i −0.219715 0.250537i 0.631473 0.775398i \(-0.282451\pi\)
−0.851188 + 0.524861i \(0.824117\pi\)
\(24\) −0.186842 0.228111i −0.0381389 0.0465630i
\(25\) −7.83961 + 8.93936i −1.56792 + 1.78787i
\(26\) 4.59660 + 2.20659i 0.901468 + 0.432748i
\(27\) 0.482642 0.396094i 0.0928846 0.0762284i
\(28\) −4.68113 2.46719i −0.884650 0.466256i
\(29\) 3.87241 + 7.24477i 0.719089 + 1.34532i 0.929907 + 0.367795i \(0.119887\pi\)
−0.210818 + 0.977525i \(0.567613\pi\)
\(30\) −0.358123 0.488744i −0.0653840 0.0892321i
\(31\) −0.769621 + 0.206219i −0.138228 + 0.0370381i −0.327270 0.944931i \(-0.606129\pi\)
0.189042 + 0.981969i \(0.439462\pi\)
\(32\) 2.27004 + 5.18140i 0.401290 + 0.915951i
\(33\) 0.0519917 0.194036i 0.00905060 0.0337773i
\(34\) 5.30277 6.60281i 0.909417 1.13237i
\(35\) −9.33199 5.58067i −1.57739 0.943305i
\(36\) −5.47350 + 2.40424i −0.912251 + 0.400707i
\(37\) 2.44254 6.48969i 0.401552 1.06690i −0.568218 0.822878i \(-0.692367\pi\)
0.969770 0.244020i \(-0.0784662\pi\)
\(38\) 1.14447 + 0.982432i 0.185658 + 0.159372i
\(39\) −0.247824 + 0.282589i −0.0396836 + 0.0452504i
\(40\) 4.08421 + 10.8830i 0.645770 + 1.72075i
\(41\) −1.38004 6.93792i −0.215526 1.08352i −0.925342 0.379134i \(-0.876222\pi\)
0.709816 0.704387i \(-0.248778\pi\)
\(42\) 0.268002 0.283422i 0.0413537 0.0437329i
\(43\) −10.9011 + 3.30682i −1.66240 + 0.504285i −0.975040 0.222029i \(-0.928732\pi\)
−0.687364 + 0.726314i \(0.741232\pi\)
\(44\) −1.96531 + 3.31504i −0.296282 + 0.499761i
\(45\) −11.4972 + 4.32724i −1.71390 + 0.645066i
\(46\) −2.22587 + 0.391752i −0.328187 + 0.0577606i
\(47\) 7.07963 9.22635i 1.03267 1.34580i 0.0960806 0.995374i \(-0.469369\pi\)
0.936590 0.350428i \(-0.113964\pi\)
\(48\) −0.412889 + 0.0584107i −0.0595954 + 0.00843085i
\(49\) 2.45261 6.55627i 0.350373 0.936610i
\(50\) 5.05126 + 16.0383i 0.714356 + 2.26816i
\(51\) 0.363622 + 0.507433i 0.0509172 + 0.0710549i
\(52\) 6.04141 3.93662i 0.837792 0.545911i
\(53\) 5.80854 + 9.34089i 0.797865 + 1.28307i 0.955329 + 0.295546i \(0.0955015\pi\)
−0.157464 + 0.987525i \(0.550332\pi\)
\(54\) −0.124518 0.874165i −0.0169447 0.118959i
\(55\) −4.39962 + 6.58450i −0.593245 + 0.887854i
\(56\) −6.41847 + 3.84750i −0.857704 + 0.514144i
\(57\) −0.0924481 + 0.0617718i −0.0122450 + 0.00818188i
\(58\) 11.5999 + 0.637008i 1.52315 + 0.0836433i
\(59\) 4.48104 6.25329i 0.583382 0.814109i −0.411890 0.911234i \(-0.635131\pi\)
0.995272 + 0.0971247i \(0.0309646\pi\)
\(60\) −0.853668 + 0.0741391i −0.110208 + 0.00957131i
\(61\) −5.78102 + 1.34795i −0.740184 + 0.172587i −0.580133 0.814522i \(-0.696999\pi\)
−0.160051 + 0.987109i \(0.551166\pi\)
\(62\) −0.315656 + 1.08169i −0.0400884 + 0.137374i
\(63\) −4.07258 6.77927i −0.513097 0.854107i
\(64\) 7.92955 + 1.05935i 0.991194 + 0.132418i
\(65\) 12.8321 7.40863i 1.59163 0.918927i
\(66\) −0.196385 0.205278i −0.0241734 0.0252679i
\(67\) −8.38480 8.95236i −1.02437 1.09371i −0.995561 0.0941201i \(-0.969996\pi\)
−0.0288058 0.999585i \(-0.509170\pi\)
\(68\) −4.08899 11.2567i −0.495863 1.36507i
\(69\) 0.0163301 0.165802i 0.00196591 0.0199602i
\(70\) −13.5959 + 7.18402i −1.62503 + 0.858654i
\(71\) 8.27446 + 12.3836i 0.981998 + 1.46966i 0.880054 + 0.474874i \(0.157506\pi\)
0.101944 + 0.994790i \(0.467494\pi\)
\(72\) −1.11154 + 8.38116i −0.130996 + 0.987729i
\(73\) 1.67941 0.828193i 0.196560 0.0969326i −0.341345 0.939938i \(-0.610883\pi\)
0.537905 + 0.843005i \(0.319216\pi\)
\(74\) −6.05177 7.71623i −0.703504 0.896993i
\(75\) −1.23887 + 0.0405563i −0.143052 + 0.00468304i
\(76\) 2.02765 0.662290i 0.232587 0.0759698i
\(77\) −4.67954 2.02308i −0.533283 0.230552i
\(78\) 0.159679 + 0.507000i 0.0180801 + 0.0574064i
\(79\) 0.0947858 + 0.719970i 0.0106642 + 0.0810029i 0.995949 0.0899158i \(-0.0286598\pi\)
−0.985285 + 0.170919i \(0.945326\pi\)
\(80\) 16.1533 + 3.05158i 1.80599 + 0.341177i
\(81\) −8.82615 1.16198i −0.980683 0.129109i
\(82\) −9.39952 3.42453i −1.03800 0.378176i
\(83\) −5.37345 + 6.54757i −0.589813 + 0.718689i −0.979316 0.202336i \(-0.935147\pi\)
0.389503 + 0.921025i \(0.372647\pi\)
\(84\) −0.145874 0.532003i −0.0159161 0.0580463i
\(85\) −7.14386 23.5501i −0.774860 2.55437i
\(86\) −4.00460 + 15.6045i −0.431827 + 1.68268i
\(87\) −0.275277 + 0.810941i −0.0295128 + 0.0869420i
\(88\) 2.56459 + 4.80903i 0.273386 + 0.512645i
\(89\) 0.337191 + 0.993332i 0.0357422 + 0.105293i 0.963337 0.268296i \(-0.0864605\pi\)
−0.927594 + 0.373589i \(0.878127\pi\)
\(90\) −3.20867 + 17.0741i −0.338223 + 1.79977i
\(91\) 6.17860 + 7.26755i 0.647693 + 0.761846i
\(92\) −1.16034 + 2.97819i −0.120973 + 0.310497i
\(93\) −0.0705376 0.0438631i −0.00731441 0.00454839i
\(94\) −5.95603 15.3303i −0.614317 1.58120i
\(95\) 4.23383 1.13445i 0.434382 0.116392i
\(96\) −0.232471 + 0.541974i −0.0237265 + 0.0553150i
\(97\) 4.98377 4.98377i 0.506025 0.506025i −0.407279 0.913304i \(-0.633522\pi\)
0.913304 + 0.407279i \(0.133522\pi\)
\(98\) −6.12487 7.77727i −0.618705 0.785623i
\(99\) −5.07968 + 2.71515i −0.510528 + 0.272883i
\(100\) 23.0949 + 5.66685i 2.30949 + 0.566685i
\(101\) 7.97325 1.31639i 0.793368 0.130986i 0.247534 0.968879i \(-0.420380\pi\)
0.545834 + 0.837893i \(0.316213\pi\)
\(102\) 0.880296 0.0670671i 0.0871623 0.00664063i
\(103\) −3.35967 9.89727i −0.331038 0.975207i −0.977258 0.212055i \(-0.931984\pi\)
0.646219 0.763152i \(-0.276349\pi\)
\(104\) −0.323930 10.1925i −0.0317639 0.999453i
\(105\) −0.240416 1.10776i −0.0234622 0.108106i
\(106\) 15.5549 0.164736i 1.51083 0.0160006i
\(107\) −7.71230 + 8.23434i −0.745576 + 0.796044i −0.984573 0.174977i \(-0.944015\pi\)
0.238996 + 0.971020i \(0.423182\pi\)
\(108\) −1.14809 0.491157i −0.110475 0.0472616i
\(109\) 10.9287 4.11327i 1.04678 0.393980i 0.231371 0.972866i \(-0.425679\pi\)
0.815409 + 0.578886i \(0.196512\pi\)
\(110\) 4.72981 + 10.1515i 0.450969 + 0.967910i
\(111\) 0.667856 0.276635i 0.0633901 0.0262570i
\(112\) −0.0605779 + 10.5828i −0.00572408 + 0.999984i
\(113\) −11.1091 4.60155i −1.04506 0.432877i −0.206933 0.978355i \(-0.566348\pi\)
−0.838125 + 0.545478i \(0.816348\pi\)
\(114\) 0.00680880 + 0.157094i 0.000637702 + 0.0147132i
\(115\) −2.71061 + 5.98243i −0.252765 + 0.557865i
\(116\) 9.28485 13.5544i 0.862076 1.25849i
\(117\) 10.7712 0.352614i 0.995802 0.0325992i
\(118\) −4.26967 10.0068i −0.393055 0.921203i
\(119\) 14.0855 7.25295i 1.29122 0.664877i
\(120\) −0.537008 + 1.08633i −0.0490219 + 0.0991680i
\(121\) 3.22296 6.53552i 0.292997 0.594138i
\(122\) −2.61412 + 7.97751i −0.236671 + 0.722250i
\(123\) 0.429547 0.599432i 0.0387310 0.0540490i
\(124\) 1.07583 + 1.17557i 0.0966126 + 0.105569i
\(125\) 27.0968 + 8.21971i 2.42361 + 0.735193i
\(126\) −11.1842 0.0533469i −0.996366 0.00475252i
\(127\) 4.32769i 0.384020i 0.981393 + 0.192010i \(0.0615007\pi\)
−0.981393 + 0.192010i \(0.938499\pi\)
\(128\) 7.10115 8.80760i 0.627658 0.778489i
\(129\) −1.02847 0.593789i −0.0905520 0.0522802i
\(130\) 0.463790 20.9496i 0.0406771 1.83740i
\(131\) 2.85216 0.665030i 0.249194 0.0581040i −0.100613 0.994926i \(-0.532080\pi\)
0.349807 + 0.936822i \(0.386247\pi\)
\(132\) −0.392293 + 0.0867075i −0.0341447 + 0.00754692i
\(133\) 1.20903 + 2.54965i 0.104836 + 0.221083i
\(134\) −16.9764 + 3.56410i −1.46653 + 0.307892i
\(135\) −2.30137 1.13491i −0.198070 0.0976773i
\(136\) −16.6085 3.32012i −1.42417 0.284698i
\(137\) 5.25323 2.59061i 0.448814 0.221331i −0.203813 0.979010i \(-0.565334\pi\)
0.652627 + 0.757679i \(0.273667\pi\)
\(138\) −0.188434 0.141445i −0.0160405 0.0120406i
\(139\) 7.55224 + 4.03676i 0.640573 + 0.342393i 0.759498 0.650510i \(-0.225445\pi\)
−0.118925 + 0.992903i \(0.537945\pi\)
\(140\) −1.29598 + 21.7081i −0.109530 + 1.83467i
\(141\) 1.20654 0.118834i 0.101609 0.0100077i
\(142\) 21.0430 0.912052i 1.76589 0.0765377i
\(143\) 5.51165 4.22924i 0.460908 0.353667i
\(144\) 9.31518 + 7.49573i 0.776265 + 0.624644i
\(145\) 20.5521 26.7840i 1.70676 2.22429i
\(146\) 0.231640 2.63799i 0.0191706 0.218321i
\(147\) 0.673640 0.280614i 0.0555609 0.0231447i
\(148\) −13.7696 + 1.65132i −1.13185 + 0.135738i
\(149\) 4.05263 + 3.79570i 0.332004 + 0.310956i 0.831678 0.555258i \(-0.187380\pi\)
−0.499674 + 0.866213i \(0.666547\pi\)
\(150\) −0.860355 + 1.52731i −0.0702477 + 0.124704i
\(151\) −3.95831 + 11.6608i −0.322123 + 0.948942i 0.658423 + 0.752648i \(0.271224\pi\)
−0.980545 + 0.196294i \(0.937109\pi\)
\(152\) 0.687805 2.93716i 0.0557884 0.238235i
\(153\) 3.49201 17.5555i 0.282312 1.41928i
\(154\) −5.88046 + 4.17157i −0.473861 + 0.336155i
\(155\) 2.07733 + 2.53124i 0.166855 + 0.203314i
\(156\) 0.730069 + 0.179139i 0.0584523 + 0.0143426i
\(157\) −0.0960826 + 2.93502i −0.00766822 + 0.234240i 0.988745 + 0.149614i \(0.0478030\pi\)
−0.996413 + 0.0846264i \(0.973030\pi\)
\(158\) 0.939872 + 0.413911i 0.0747722 + 0.0329290i
\(159\) −0.296790 + 1.10764i −0.0235370 + 0.0878413i
\(160\) 15.5459 17.2860i 1.22901 1.36658i
\(161\) −4.10255 1.02326i −0.323326 0.0806446i
\(162\) −7.88335 + 9.81605i −0.619374 + 0.771222i
\(163\) −10.5251 + 16.9257i −0.824387 + 1.32572i 0.118617 + 0.992940i \(0.462154\pi\)
−0.943004 + 0.332782i \(0.892013\pi\)
\(164\) −11.0392 + 8.84834i −0.862016 + 0.690940i
\(165\) −0.814541 + 0.134481i −0.0634119 + 0.0104694i
\(166\) 3.97033 + 11.3016i 0.308158 + 0.877173i
\(167\) −1.33053 + 6.68900i −0.102959 + 0.517611i 0.894543 + 0.446981i \(0.147501\pi\)
−0.997503 + 0.0706296i \(0.977499\pi\)
\(168\) −0.750159 0.214180i −0.0578760 0.0165244i
\(169\) 0.00107785 0.000214399i 8.29119e−5 1.64922e-5i
\(170\) −33.7112 8.65131i −2.58553 0.663525i
\(171\) 3.10473 + 0.723922i 0.237425 + 0.0553597i
\(172\) 15.9231 + 16.2951i 1.21413 + 1.24249i
\(173\) 3.15323 19.0989i 0.239736 1.45206i −0.548223 0.836332i \(-0.684696\pi\)
0.787959 0.615727i \(-0.211138\pi\)
\(174\) 0.778196 + 0.928017i 0.0589949 + 0.0703528i
\(175\) −3.56390 + 31.2554i −0.269406 + 2.36269i
\(176\) 7.69565 + 0.429971i 0.580081 + 0.0324103i
\(177\) 0.795142 0.104682i 0.0597665 0.00786841i
\(178\) 1.44825 + 0.321552i 0.108551 + 0.0241013i
\(179\) 5.69667 12.5728i 0.425789 0.939737i −0.567424 0.823426i \(-0.692060\pi\)
0.993213 0.116311i \(-0.0371069\pi\)
\(180\) 18.2838 + 16.4117i 1.36279 + 1.22326i
\(181\) 1.33646 + 0.714352i 0.0993382 + 0.0530974i 0.520318 0.853973i \(-0.325814\pi\)
−0.420979 + 0.907070i \(0.638314\pi\)
\(182\) 13.3203 2.13398i 0.987367 0.158181i
\(183\) −0.514545 0.343808i −0.0380362 0.0254150i
\(184\) 2.74828 + 3.58872i 0.202606 + 0.264564i
\(185\) −28.4364 + 1.86382i −2.09069 + 0.137031i
\(186\) −0.104799 + 0.0530681i −0.00768423 + 0.00389115i
\(187\) −4.76209 10.5102i −0.348239 0.768579i
\(188\) −22.9032 4.05348i −1.67039 0.295630i
\(189\) 0.452006 1.58888i 0.0328786 0.115574i
\(190\) 1.73649 5.95057i 0.125978 0.431699i
\(191\) −7.58572 13.1389i −0.548884 0.950694i −0.998351 0.0573979i \(-0.981720\pi\)
0.449468 0.893297i \(-0.351614\pi\)
\(192\) 0.484492 + 0.678840i 0.0349652 + 0.0489911i
\(193\) −7.28481 4.20589i −0.524372 0.302746i 0.214350 0.976757i \(-0.431237\pi\)
−0.738722 + 0.674011i \(0.764570\pi\)
\(194\) −2.36606 9.68264i −0.169873 0.695173i
\(195\) 1.47819 + 0.448403i 0.105855 + 0.0321108i
\(196\) −13.8970 + 1.69487i −0.992645 + 0.121062i
\(197\) −4.50454 0.443658i −0.320935 0.0316093i −0.0637330 0.997967i \(-0.520301\pi\)
−0.257202 + 0.966358i \(0.582801\pi\)
\(198\) −0.446639 + 8.13332i −0.0317413 + 0.578010i
\(199\) 0.625810 + 9.54802i 0.0443625 + 0.676841i 0.960901 + 0.276894i \(0.0893050\pi\)
−0.916538 + 0.399948i \(0.869028\pi\)
\(200\) 23.8026 23.7573i 1.68310 1.67989i
\(201\) 0.0836316 1.27597i 0.00589892 0.0900001i
\(202\) 4.26145 10.6043i 0.299834 0.746116i
\(203\) 19.3429 + 9.91106i 1.35760 + 0.695620i
\(204\) 0.565103 1.11333i 0.0395651 0.0779485i
\(205\) −23.6308 + 16.9336i −1.65045 + 1.18269i
\(206\) −14.4299 3.20385i −1.00538 0.223223i
\(207\) −3.78985 + 2.90805i −0.263413 + 0.202124i
\(208\) −12.5584 7.09012i −0.870766 0.491611i
\(209\) 1.89868 0.786460i 0.131335 0.0544006i
\(210\) −1.51553 0.522527i −0.104581 0.0360578i
\(211\) −13.1143 10.7626i −0.902824 0.740929i 0.0635742 0.997977i \(-0.479750\pi\)
−0.966399 + 0.257048i \(0.917250\pi\)
\(212\) 11.2188 18.9236i 0.770512 1.29968i
\(213\) −0.352573 + 1.51210i −0.0241579 + 0.103608i
\(214\) 4.29248 + 15.3669i 0.293428 + 1.05046i
\(215\) 30.8684 + 35.1986i 2.10521 + 2.40053i
\(216\) −1.43645 + 1.02727i −0.0977380 + 0.0698970i
\(217\) −1.36221 + 1.60882i −0.0924727 + 0.109214i
\(218\) 3.05001 16.2299i 0.206573 1.09922i
\(219\) 0.182698 + 0.0687627i 0.0123456 + 0.00464655i
\(220\) 15.7430 + 1.73427i 1.06139 + 0.116925i
\(221\) −0.706397 + 21.5782i −0.0475174 + 1.45151i
\(222\) 0.155839 1.01036i 0.0104592 0.0678111i
\(223\) 8.87865 8.87865i 0.594558 0.594558i −0.344301 0.938859i \(-0.611884\pi\)
0.938859 + 0.344301i \(0.111884\pi\)
\(224\) 12.7480 + 7.84146i 0.851762 + 0.523929i
\(225\) 25.1311 + 25.1311i 1.67541 + 1.67541i
\(226\) −13.7169 + 10.0509i −0.912433 + 0.668577i
\(227\) 9.14142 + 0.299259i 0.606737 + 0.0198625i 0.334544 0.942380i \(-0.391418\pi\)
0.272193 + 0.962243i \(0.412251\pi\)
\(228\) 0.194892 + 0.107083i 0.0129070 + 0.00709173i
\(229\) −1.75110 + 4.65257i −0.115716 + 0.307450i −0.981053 0.193741i \(-0.937938\pi\)
0.865337 + 0.501191i \(0.167105\pi\)
\(230\) 5.24184 + 7.66792i 0.345637 + 0.505607i
\(231\) −0.179552 0.500232i −0.0118136 0.0329129i
\(232\) −9.56899 21.1729i −0.628235 1.39007i
\(233\) −8.01057 + 7.02508i −0.524790 + 0.460228i −0.880282 0.474451i \(-0.842647\pi\)
0.355492 + 0.934679i \(0.384313\pi\)
\(234\) 7.48029 13.2791i 0.489002 0.868079i
\(235\) −46.5460 10.8530i −3.03632 0.707971i
\(236\) −15.2303 2.18426i −0.991409 0.142183i
\(237\) −0.0480265 + 0.0585204i −0.00311965 + 0.00380131i
\(238\) 1.57203 22.3505i 0.101899 1.44877i
\(239\) 4.07298 + 9.83304i 0.263459 + 0.636046i 0.999148 0.0412732i \(-0.0131414\pi\)
−0.735689 + 0.677320i \(0.763141\pi\)
\(240\) 0.918964 + 1.44654i 0.0593189 + 0.0933740i
\(241\) 6.23627 + 8.12727i 0.401714 + 0.523523i 0.949783 0.312910i \(-0.101304\pi\)
−0.548069 + 0.836433i \(0.684637\pi\)
\(242\) −5.53432 8.69324i −0.355759 0.558823i
\(243\) −1.63162 2.27692i −0.104668 0.146064i
\(244\) 7.72431 + 9.01575i 0.494498 + 0.577174i
\(245\) −28.7028 + 1.93908i −1.83375 + 0.123883i
\(246\) −0.409285 0.959242i −0.0260951 0.0611590i
\(247\) −3.83705 0.251494i −0.244146 0.0160022i
\(248\) 2.21072 0.437547i 0.140381 0.0277843i
\(249\) −0.881130 + 0.0577523i −0.0558394 + 0.00365990i
\(250\) 29.8261 26.7208i 1.88637 1.68997i
\(251\) 1.84485 18.7311i 0.116446 1.18230i −0.742362 0.669999i \(-0.766295\pi\)
0.858808 0.512297i \(-0.171205\pi\)
\(252\) −8.27413 + 13.4802i −0.521221 + 0.849174i
\(253\) −0.893914 + 2.94684i −0.0561999 + 0.185266i
\(254\) 5.23129 + 3.17670i 0.328240 + 0.199324i
\(255\) 1.28279 2.22185i 0.0803313 0.139138i
\(256\) −5.43404 15.0490i −0.339628 0.940560i
\(257\) 15.0957 8.71552i 0.941646 0.543659i 0.0511699 0.998690i \(-0.483705\pi\)
0.890476 + 0.455031i \(0.150372\pi\)
\(258\) −1.47271 + 0.807347i −0.0916869 + 0.0502632i
\(259\) −4.47554 17.7917i −0.278097 1.10552i
\(260\) −24.9834 15.9385i −1.54940 0.988465i
\(261\) 22.3663 10.1340i 1.38444 0.627280i
\(262\) 1.28972 3.93583i 0.0796789 0.243157i
\(263\) −0.678459 10.3513i −0.0418356 0.638288i −0.966365 0.257176i \(-0.917208\pi\)
0.924529 0.381112i \(-0.124459\pi\)
\(264\) −0.183148 + 0.537849i −0.0112720 + 0.0331023i
\(265\) 25.1149 37.5871i 1.54279 2.30895i
\(266\) 3.96948 + 0.410086i 0.243385 + 0.0251440i
\(267\) −0.0515513 + 0.0964456i −0.00315489 + 0.00590238i
\(268\) −8.15306 + 23.1371i −0.498028 + 1.41332i
\(269\) −11.8747 5.38038i −0.724016 0.328047i 0.0167047 0.999860i \(-0.494682\pi\)
−0.740721 + 0.671813i \(0.765516\pi\)
\(270\) −3.06117 + 1.94881i −0.186297 + 0.118601i
\(271\) 1.39680 + 10.6098i 0.0848498 + 0.644498i 0.980038 + 0.198810i \(0.0637077\pi\)
−0.895188 + 0.445688i \(0.852959\pi\)
\(272\) −16.2047 + 17.6392i −0.982552 + 1.06953i
\(273\) −0.112661 + 0.988038i −0.00681856 + 0.0597988i
\(274\) 0.724574 8.25169i 0.0437731 0.498503i
\(275\) 22.6049 + 3.73209i 1.36313 + 0.225053i
\(276\) −0.309296 + 0.123951i −0.0186174 + 0.00746098i
\(277\) 0.119139 0.510960i 0.00715838 0.0307006i −0.970177 0.242398i \(-0.922066\pi\)
0.977335 + 0.211698i \(0.0678992\pi\)
\(278\) 10.4233 6.16596i 0.625146 0.369810i
\(279\) 0.464637 + 2.33589i 0.0278171 + 0.139846i
\(280\) 25.2893 + 17.5012i 1.51132 + 1.04589i
\(281\) 15.8205 + 3.14689i 0.943771 + 0.187728i 0.642911 0.765941i \(-0.277726\pi\)
0.300860 + 0.953668i \(0.402726\pi\)
\(282\) 0.742007 1.54569i 0.0441859 0.0920447i
\(283\) 1.76396 + 10.6841i 0.104856 + 0.635106i 0.986572 + 0.163325i \(0.0522219\pi\)
−0.881716 + 0.471781i \(0.843611\pi\)
\(284\) 14.3440 26.1062i 0.851157 1.54912i
\(285\) 0.388041 + 0.241299i 0.0229855 + 0.0142933i
\(286\) −1.06650 9.76689i −0.0630637 0.577528i
\(287\) −13.4617 13.0022i −0.794622 0.767493i
\(288\) 15.8985 5.75797i 0.936829 0.339292i
\(289\) 18.2156 + 4.88086i 1.07151 + 0.287109i
\(290\) −17.2903 44.5039i −1.01532 2.61336i
\(291\) 0.734372 + 0.0240409i 0.0430497 + 0.00140930i
\(292\) −3.01875 2.21640i −0.176659 0.129705i
\(293\) 18.6307 15.2898i 1.08842 0.893242i 0.0936708 0.995603i \(-0.470140\pi\)
0.994747 + 0.102362i \(0.0326399\pi\)
\(294\) 0.155274 1.02028i 0.00905577 0.0595036i
\(295\) −31.0090 6.16808i −1.80542 0.359120i
\(296\) −8.11133 + 17.8567i −0.471461 + 1.03790i
\(297\) −1.13925 0.386724i −0.0661061 0.0224400i
\(298\) 7.56302 2.11260i 0.438114 0.122379i
\(299\) 3.93877 4.20538i 0.227785 0.243203i
\(300\) 1.21466 + 2.16110i 0.0701286 + 0.124771i
\(301\) −18.7128 + 23.6266i −1.07859 + 1.36181i
\(302\) 11.1900 + 13.3443i 0.643909 + 0.767877i
\(303\) 0.668372 + 0.512860i 0.0383970 + 0.0294630i
\(304\) −3.04554 2.98741i −0.174674 0.171340i
\(305\) 14.8512 + 19.3545i 0.850378 + 1.10823i
\(306\) −18.6577 17.1076i −1.06659 0.977975i
\(307\) −1.33798 13.5848i −0.0763627 0.775323i −0.954757 0.297387i \(-0.903885\pi\)
0.878394 0.477936i \(-0.158615\pi\)
\(308\) 0.726075 + 10.1704i 0.0413720 + 0.579511i
\(309\) 0.513642 0.960956i 0.0292201 0.0546669i
\(310\) 4.58459 0.653038i 0.260387 0.0370900i
\(311\) −11.5028 23.3254i −0.652265 1.32266i −0.931956 0.362572i \(-0.881899\pi\)
0.279691 0.960090i \(-0.409768\pi\)
\(312\) 0.752443 0.751008i 0.0425987 0.0425175i
\(313\) −4.20665 + 8.53024i −0.237774 + 0.482157i −0.982751 0.184932i \(-0.940793\pi\)
0.744978 + 0.667090i \(0.232460\pi\)
\(314\) 3.47731 + 2.27057i 0.196236 + 0.128136i
\(315\) −18.4700 + 26.7438i −1.04067 + 1.50684i
\(316\) 1.19024 0.832285i 0.0669561 0.0468197i
\(317\) 2.36964 + 10.1628i 0.133092 + 0.570801i 0.997665 + 0.0682939i \(0.0217556\pi\)
−0.864573 + 0.502507i \(0.832411\pi\)
\(318\) 1.12105 + 1.17181i 0.0628653 + 0.0657118i
\(319\) 7.91456 13.7084i 0.443130 0.767524i
\(320\) −9.48390 31.4804i −0.530166 1.75981i
\(321\) −1.17615 −0.0656464
\(322\) −4.24835 + 4.20802i −0.236751 + 0.234504i
\(323\) −1.85393 + 6.11159i −0.103155 + 0.340058i
\(324\) 6.07889 + 16.7347i 0.337716 + 0.929707i
\(325\) −34.8452 24.9697i −1.93286 1.38507i
\(326\) 12.7338 + 25.1468i 0.705263 + 1.39275i
\(327\) 1.09180 + 0.538417i 0.0603767 + 0.0297745i
\(328\) 2.59262 + 19.8392i 0.143153 + 1.09543i
\(329\) 1.47895 30.7334i 0.0815373 1.69439i
\(330\) −0.435346 + 1.08333i −0.0239650 + 0.0596352i
\(331\) −0.448956 13.7142i −0.0246769 0.753801i −0.938014 0.346597i \(-0.887337\pi\)
0.913337 0.407204i \(-0.133496\pi\)
\(332\) 16.5757 + 3.49650i 0.909708 + 0.191895i
\(333\) −18.8795 8.55418i −1.03459 0.468766i
\(334\) 7.10897 + 6.51833i 0.388986 + 0.356667i
\(335\) −19.2908 + 46.5721i −1.05397 + 2.54450i
\(336\) −0.809547 + 0.749571i −0.0441644 + 0.0408925i
\(337\) 6.18274 + 14.9265i 0.336795 + 0.813096i 0.998019 + 0.0629076i \(0.0200373\pi\)
−0.661224 + 0.750189i \(0.729963\pi\)
\(338\) 0.000532025 0.00146028i 2.89384e−5 7.94289e-5i
\(339\) −0.441562 1.17320i −0.0239824 0.0637196i
\(340\) −35.2030 + 34.3995i −1.90915 + 1.86557i
\(341\) 1.12056 + 1.04952i 0.0606820 + 0.0568349i
\(342\) 3.15407 3.22160i 0.170553 0.174204i
\(343\) −4.55406 17.9516i −0.245896 0.969296i
\(344\) 31.3857 7.28654i 1.69220 0.392864i
\(345\) −0.648364 + 0.220090i −0.0349067 + 0.0118492i
\(346\) −20.7720 17.8309i −1.11671 0.958598i
\(347\) −0.792269 4.79870i −0.0425312 0.257608i 0.956934 0.290305i \(-0.0937569\pi\)
−0.999465 + 0.0326975i \(0.989590\pi\)
\(348\) 1.69301 0.259477i 0.0907548 0.0139094i
\(349\) 6.82326 + 12.7654i 0.365241 + 0.683317i 0.995673 0.0929271i \(-0.0296224\pi\)
−0.630432 + 0.776244i \(0.717122\pi\)
\(350\) 35.1653 + 27.2508i 1.87966 + 1.45661i
\(351\) 1.59176 + 1.59176i 0.0849620 + 0.0849620i
\(352\) 6.16866 8.98684i 0.328791 0.479000i
\(353\) −3.08020 11.4955i −0.163943 0.611842i −0.998173 0.0604255i \(-0.980754\pi\)
0.834230 0.551416i \(-0.185912\pi\)
\(354\) 0.457127 1.03800i 0.0242960 0.0551693i
\(355\) 32.3225 51.9788i 1.71550 2.75875i
\(356\) 1.45176 1.51460i 0.0769432 0.0802736i
\(357\) 1.55566 + 0.554867i 0.0823344 + 0.0293667i
\(358\) −11.0164 16.1151i −0.582233 0.851708i
\(359\) −25.4673 + 8.64500i −1.34411 + 0.456266i −0.898506 0.438962i \(-0.855346\pi\)
−0.445609 + 0.895228i \(0.647013\pi\)
\(360\) 33.2594 10.0545i 1.75293 0.529918i
\(361\) 16.9145 + 5.74171i 0.890239 + 0.302195i
\(362\) 1.84452 1.09114i 0.0969458 0.0573491i
\(363\) 0.726960 0.220521i 0.0381555 0.0115743i
\(364\) 7.19811 17.6679i 0.377284 0.926052i
\(365\) −5.94875 4.88201i −0.311372 0.255536i
\(366\) −0.793290 + 0.369610i −0.0414659 + 0.0193198i
\(367\) −4.65121 + 35.3295i −0.242791 + 1.84418i 0.242899 + 0.970052i \(0.421902\pi\)
−0.485690 + 0.874131i \(0.661432\pi\)
\(368\) 6.35537 0.687844i 0.331297 0.0358564i
\(369\) −20.9637 + 2.75993i −1.09133 + 0.143676i
\(370\) −18.6205 + 35.7419i −0.968035 + 1.85813i
\(371\) 26.7127 + 11.5486i 1.38686 + 0.599573i
\(372\) −0.0127782 + 0.165635i −0.000662518 + 0.00858775i
\(373\) 0.826088 + 25.2344i 0.0427732 + 1.30659i 0.777784 + 0.628531i \(0.216344\pi\)
−0.735011 + 0.678055i \(0.762823\pi\)
\(374\) −16.2002 1.95850i −0.837692 0.101271i
\(375\) 1.30561 + 2.64752i 0.0674216 + 0.136717i
\(376\) −21.7117 + 24.7098i −1.11970 + 1.27431i
\(377\) −24.6260 + 16.4546i −1.26831 + 0.847455i
\(378\) −1.58884 1.71268i −0.0817209 0.0880909i
\(379\) −16.1728 1.59288i −0.830743 0.0818210i −0.326300 0.945266i \(-0.605802\pi\)
−0.504443 + 0.863445i \(0.668302\pi\)
\(380\) −5.91836 6.46701i −0.303605 0.331751i
\(381\) −0.329287 + 0.308411i −0.0168699 + 0.0158004i
\(382\) −21.4504 0.474876i −1.09750 0.0242968i
\(383\) 19.0186 + 32.9412i 0.971804 + 1.68321i 0.690101 + 0.723713i \(0.257566\pi\)
0.281703 + 0.959502i \(0.409101\pi\)
\(384\) 1.17622 0.0873547i 0.0600235 0.00445780i
\(385\) 0.363811 + 20.9488i 0.0185415 + 1.06765i
\(386\) −10.4314 + 5.71854i −0.530944 + 0.291066i
\(387\) 7.73219 + 33.1616i 0.393049 + 1.68570i
\(388\) −13.4411 4.24737i −0.682369 0.215627i
\(389\) −21.6621 15.5228i −1.09831 0.787038i −0.119710 0.992809i \(-0.538196\pi\)
−0.978600 + 0.205771i \(0.934030\pi\)
\(390\) 1.62708 1.45768i 0.0823902 0.0738123i
\(391\) −5.31671 7.95702i −0.268878 0.402404i
\(392\) −8.15223 + 18.0428i −0.411750 + 0.911297i
\(393\) 0.253859 + 0.169623i 0.0128055 + 0.00855635i
\(394\) −3.84281 + 5.11940i −0.193598 + 0.257912i
\(395\) 2.53438 1.57598i 0.127518 0.0792960i
\(396\) 9.50367 + 6.51009i 0.477577 + 0.327144i
\(397\) −5.33581 + 3.82359i −0.267797 + 0.191901i −0.708419 0.705792i \(-0.750591\pi\)
0.440622 + 0.897693i \(0.354758\pi\)
\(398\) 12.0010 + 6.25216i 0.601554 + 0.313393i
\(399\) −0.107838 + 0.273693i −0.00539867 + 0.0137018i
\(400\) −11.2455 46.2113i −0.562277 2.31056i
\(401\) −12.0947 9.28059i −0.603980 0.463450i 0.260943 0.965354i \(-0.415966\pi\)
−0.864923 + 0.501904i \(0.832633\pi\)
\(402\) −1.48100 1.03771i −0.0738655 0.0517562i
\(403\) −1.01190 2.68855i −0.0504063 0.133926i
\(404\) −9.69035 12.9352i −0.482113 0.643551i
\(405\) 10.6204 + 35.0108i 0.527732 + 1.73970i
\(406\) 26.1789 16.1064i 1.29924 0.799349i
\(407\) −13.1047 + 2.60669i −0.649576 + 0.129209i
\(408\) −0.930975 1.50032i −0.0460901 0.0742769i
\(409\) 9.09993 + 7.98042i 0.449962 + 0.394606i 0.854114 0.520086i \(-0.174100\pi\)
−0.404152 + 0.914692i \(0.632433\pi\)
\(410\) 3.12326 + 40.9947i 0.154247 + 2.02459i
\(411\) 0.571484 + 0.215091i 0.0281892 + 0.0106097i
\(412\) −14.4649 + 15.0910i −0.712636 + 0.743482i
\(413\) 0.312625 20.3516i 0.0153833 1.00143i
\(414\) 0.733335 + 6.71577i 0.0360415 + 0.330062i
\(415\) 33.6243 + 9.00960i 1.65055 + 0.442264i
\(416\) −17.7888 + 9.97605i −0.872170 + 0.489116i
\(417\) 0.231057 + 0.862315i 0.0113149 + 0.0422278i
\(418\) 0.443042 2.87241i 0.0216699 0.140494i
\(419\) 4.85637 2.59579i 0.237249 0.126812i −0.348488 0.937313i \(-0.613305\pi\)
0.585738 + 0.810501i \(0.300805\pi\)
\(420\) −1.74409 + 1.44841i −0.0851028 + 0.0706750i
\(421\) 4.05659 + 4.94297i 0.197706 + 0.240906i 0.862421 0.506191i \(-0.168947\pi\)
−0.664715 + 0.747097i \(0.731447\pi\)
\(422\) −22.6362 + 7.95228i −1.10191 + 0.387111i
\(423\) −26.1357 22.9204i −1.27076 1.11443i
\(424\) −14.6397 27.4520i −0.710968 1.33319i
\(425\) −53.5304 + 46.9449i −2.59661 + 2.27716i
\(426\) 1.56902 + 1.53613i 0.0760192 + 0.0744259i
\(427\) −10.5354 + 11.6475i −0.509846 + 0.563663i
\(428\) 21.7263 + 6.09122i 1.05018 + 0.294430i
\(429\) 0.714581 + 0.117978i 0.0345003 + 0.00569602i
\(430\) 65.2065 11.4763i 3.14454 0.553436i
\(431\) 2.27618 17.2893i 0.109640 0.832796i −0.844944 0.534854i \(-0.820367\pi\)
0.954584 0.297942i \(-0.0963001\pi\)
\(432\) 0.187348 + 2.49043i 0.00901380 + 0.119821i
\(433\) 3.43386 + 1.42235i 0.165021 + 0.0683538i 0.463665 0.886011i \(-0.346534\pi\)
−0.298644 + 0.954365i \(0.596534\pi\)
\(434\) 0.944813 + 2.82757i 0.0453525 + 0.135728i
\(435\) 3.50259 0.344975i 0.167936 0.0165403i
\(436\) −17.3797 15.6002i −0.832338 0.747115i
\(437\) 1.44743 0.900067i 0.0692398 0.0430560i
\(438\) 0.217228 0.170370i 0.0103795 0.00814059i
\(439\) −12.1504 0.796378i −0.579906 0.0380090i −0.227372 0.973808i \(-0.573013\pi\)
−0.352534 + 0.935799i \(0.614680\pi\)
\(440\) 13.6524 17.7570i 0.650851 0.846532i
\(441\) −19.0761 8.59722i −0.908387 0.409392i
\(442\) 25.5651 + 16.6932i 1.21601 + 0.794012i
\(443\) −8.58691 + 3.89068i −0.407976 + 0.184852i −0.606213 0.795303i \(-0.707312\pi\)
0.198236 + 0.980154i \(0.436479\pi\)
\(444\) −1.10693 0.930024i −0.0525325 0.0441370i
\(445\) 3.14654 2.94706i 0.149160 0.139704i
\(446\) −4.21517 17.2497i −0.199594 0.816799i
\(447\) 0.578857i 0.0273790i
\(448\) 18.8363 9.65377i 0.889930 0.456098i
\(449\) 10.9674i 0.517581i 0.965933 + 0.258791i \(0.0833240\pi\)
−0.965933 + 0.258791i \(0.916676\pi\)
\(450\) 48.8255 11.9311i 2.30166 0.562436i
\(451\) −9.94853 + 9.31782i −0.468458 + 0.438759i
\(452\) 2.08075 + 23.9587i 0.0978704 + 1.12692i
\(453\) −1.16934 + 0.529820i −0.0549403 + 0.0248931i
\(454\) 7.07192 10.8304i 0.331902 0.508297i
\(455\) 16.7258 35.4557i 0.784118 1.66219i
\(456\) 0.272500 0.156981i 0.0127610 0.00735132i
\(457\) 31.6513 + 2.07454i 1.48059 + 0.0970427i 0.784148 0.620574i \(-0.213100\pi\)
0.696438 + 0.717617i \(0.254767\pi\)
\(458\) 4.33862 + 5.53190i 0.202730 + 0.258489i
\(459\) 3.17501 1.97435i 0.148197 0.0921548i
\(460\) 13.1167 0.707744i 0.611567 0.0329987i
\(461\) 2.95525 0.291067i 0.137640 0.0135563i −0.0289626 0.999580i \(-0.509220\pi\)
0.166602 + 0.986024i \(0.446720\pi\)
\(462\) −0.736477 0.150150i −0.0342640 0.00698559i
\(463\) 19.3994 + 8.03549i 0.901566 + 0.373441i 0.784822 0.619721i \(-0.212754\pi\)
0.116744 + 0.993162i \(0.462754\pi\)
\(464\) −32.6177 3.97485i −1.51424 0.184528i
\(465\) −0.0445576 + 0.338448i −0.00206631 + 0.0156952i
\(466\) 2.61179 + 14.8398i 0.120989 + 0.687442i
\(467\) −15.0084 2.47789i −0.694505 0.114663i −0.194779 0.980847i \(-0.562399\pi\)
−0.499725 + 0.866184i \(0.666566\pi\)
\(468\) −10.5608 18.7895i −0.488173 0.868545i
\(469\) −31.7277 6.81924i −1.46505 0.314883i
\(470\) −47.2857 + 48.2980i −2.18113 + 2.22782i
\(471\) −0.230168 + 0.201852i −0.0106056 + 0.00930085i
\(472\) −13.8200 + 16.8070i −0.636117 + 0.773604i
\(473\) 16.5034 + 14.4731i 0.758826 + 0.665473i
\(474\) 0.0354858 + 0.101010i 0.00162992 + 0.00463956i
\(475\) −8.04479 9.80261i −0.369120 0.449775i
\(476\) −25.8632 18.3064i −1.18544 0.839073i
\(477\) 28.9969 15.4992i 1.32768 0.709659i
\(478\) 14.8759 + 2.29446i 0.680406 + 0.104946i
\(479\) 7.24868 + 27.0524i 0.331201 + 1.23606i 0.907930 + 0.419122i \(0.137662\pi\)
−0.576729 + 0.816935i \(0.695671\pi\)
\(480\) 2.42313 0.0490172i 0.110600 0.00223732i
\(481\) 24.1484 + 6.47055i 1.10107 + 0.295032i
\(482\) 14.4019 1.57263i 0.655987 0.0716311i
\(483\) −0.214507 0.385079i −0.00976043 0.0175217i
\(484\) −14.5708 + 0.308661i −0.662307 + 0.0140300i
\(485\) −27.1094 10.2032i −1.23097 0.463305i
\(486\) −3.95000 + 0.300939i −0.179176 + 0.0136509i
\(487\) −2.88181 2.52728i −0.130587 0.114522i 0.591561 0.806260i \(-0.298512\pi\)
−0.722148 + 0.691738i \(0.756845\pi\)
\(488\) 16.5681 2.71917i 0.750005 0.123091i
\(489\) −2.03791 + 0.405366i −0.0921576 + 0.0183313i
\(490\) −18.7251 + 36.1191i −0.845912 + 1.63170i
\(491\) −6.72155 22.1580i −0.303340 0.999976i −0.967603 0.252478i \(-0.918755\pi\)
0.664263 0.747499i \(-0.268745\pi\)
\(492\) −1.45996 0.209381i −0.0658200 0.00943961i
\(493\) 17.3277 + 46.0385i 0.780399 + 2.07347i
\(494\) −3.12056 + 4.45360i −0.140400 + 0.200377i
\(495\) 18.7797 + 14.4102i 0.844084 + 0.647688i
\(496\) 1.09386 2.99349i 0.0491156 0.134412i
\(497\) 36.6617 + 14.4452i 1.64450 + 0.647955i
\(498\) −0.576975 + 1.10750i −0.0258549 + 0.0496282i
\(499\) −7.54830 + 5.40903i −0.337908 + 0.242142i −0.738710 0.674023i \(-0.764565\pi\)
0.400802 + 0.916165i \(0.368731\pi\)
\(500\) −10.4064 55.6677i −0.465389 2.48954i
\(501\) −0.603775 + 0.375451i −0.0269747 + 0.0167739i
\(502\) −21.2878 15.9794i −0.950123 0.713197i
\(503\) 18.5656 + 12.4051i 0.827799 + 0.553118i 0.895743 0.444571i \(-0.146644\pi\)
−0.0679443 + 0.997689i \(0.521644\pi\)
\(504\) 10.2213 + 19.8968i 0.455291 + 0.886272i
\(505\) −18.4514 27.6144i −0.821076 1.22883i
\(506\) 2.90596 + 3.24366i 0.129185 + 0.144198i
\(507\) 9.31261e−5 0 6.67332e-5i 4.13587e−6 0 2.96373e-6i
\(508\) 7.67996 3.99172i 0.340743 0.177104i
\(509\) 0.376213 + 1.61349i 0.0166753 + 0.0715166i 0.981558 0.191165i \(-0.0612265\pi\)
−0.964883 + 0.262681i \(0.915393\pi\)
\(510\) −1.74415 3.18156i −0.0772321 0.140882i
\(511\) 2.40223 4.33284i 0.106269 0.191674i
\(512\) −22.1799 4.47791i −0.980223 0.197897i
\(513\) 0.332955 + 0.576695i 0.0147003 + 0.0254617i
\(514\) 0.545603 24.6452i 0.0240655 1.08705i
\(515\) −31.3512 + 29.3636i −1.38150 + 1.29391i
\(516\) −0.105112 + 2.37283i −0.00462732 + 0.104458i
\(517\) −22.3012 2.19648i −0.980807 0.0966011i
\(518\) −24.7917 7.64981i −1.08929 0.336113i
\(519\) 1.67791 1.12115i 0.0736523 0.0492129i
\(520\) −37.6052 + 18.5002i −1.64910 + 0.811289i
\(521\) 14.7235 + 29.8563i 0.645048 + 1.30803i 0.936239 + 0.351363i \(0.114282\pi\)
−0.291192 + 0.956665i \(0.594052\pi\)
\(522\) 4.16780 34.4750i 0.182420 1.50893i
\(523\) 1.21684 + 37.1705i 0.0532085 + 1.62535i 0.608401 + 0.793629i \(0.291811\pi\)
−0.555193 + 0.831722i \(0.687356\pi\)
\(524\) −3.81091 4.44806i −0.166480 0.194315i
\(525\) −2.63215 + 1.95623i −0.114877 + 0.0853769i
\(526\) −13.0106 6.77815i −0.567289 0.295541i
\(527\) −4.73038 + 0.622766i −0.206059 + 0.0271281i
\(528\) 0.515711 + 0.616191i 0.0224434 + 0.0268163i
\(529\) 2.66874 20.2711i 0.116032 0.881352i
\(530\) −26.9997 57.9491i −1.17279 2.51715i
\(531\) −17.7758 14.5883i −0.771406 0.633077i
\(532\) 3.40947 4.49727i 0.147819 0.194981i
\(533\) 24.4058 7.40343i 1.05713 0.320678i
\(534\) 0.0787422 + 0.133110i 0.00340751 + 0.00576023i
\(535\) 43.9055 + 14.9039i 1.89820 + 0.644353i
\(536\) 21.9833 + 26.8390i 0.949536 + 1.15927i
\(537\) 1.36262 0.462546i 0.0588012 0.0199603i
\(538\) −15.2203 + 10.4047i −0.656195 + 0.448579i
\(539\) −13.2239 + 2.65797i −0.569594 + 0.114487i
\(540\) 0.108689 + 5.13083i 0.00467724 + 0.220796i
\(541\) 6.53667 10.5118i 0.281033 0.451939i −0.678069 0.734998i \(-0.737183\pi\)
0.959102 + 0.283060i \(0.0913495\pi\)
\(542\) 13.8504 + 6.09956i 0.594924 + 0.261999i
\(543\) 0.0408882 + 0.152597i 0.00175468 + 0.00654856i
\(544\) 9.42725 + 32.5360i 0.404190 + 1.39497i
\(545\) −33.9341 33.9341i −1.45358 1.45358i
\(546\) 1.11164 + 0.861444i 0.0475737 + 0.0368664i
\(547\) −11.3090 21.1576i −0.483537 0.904635i −0.998865 0.0476412i \(-0.984830\pi\)
0.515327 0.856994i \(-0.327670\pi\)
\(548\) −9.44273 6.93294i −0.403373 0.296160i
\(549\) 2.89038 + 17.5068i 0.123358 + 0.747170i
\(550\) 21.1043 24.5852i 0.899889 1.04832i
\(551\) −8.29637 + 2.81624i −0.353437 + 0.119976i
\(552\) −0.0772046 + 0.464861i −0.00328605 + 0.0197858i
\(553\) 1.29169 + 1.42229i 0.0549283 + 0.0604821i
\(554\) −0.530193 0.519081i −0.0225257 0.0220536i
\(555\) −2.16832 2.03086i −0.0920402 0.0862051i
\(556\) 0.197716 17.1257i 0.00838502 0.726289i
\(557\) 13.3760 + 35.5392i 0.566759 + 1.50584i 0.839283 + 0.543695i \(0.182975\pi\)
−0.272524 + 0.962149i \(0.587858\pi\)
\(558\) 3.16467 + 1.15299i 0.133971 + 0.0488098i
\(559\) −15.7173 37.9450i −0.664772 1.60490i
\(560\) 39.7187 17.7230i 1.67842 0.748933i
\(561\) 0.460333 1.11134i 0.0194353 0.0469209i
\(562\) 15.4168 16.8138i 0.650320 0.709246i
\(563\) 21.2752 + 9.63969i 0.896645 + 0.406264i 0.807578 0.589761i \(-0.200778\pi\)
0.0890671 + 0.996026i \(0.471611\pi\)
\(564\) −1.32376 2.03154i −0.0557405 0.0855431i
\(565\) 1.61689 + 49.3908i 0.0680230 + 2.07789i
\(566\) 14.2097 + 5.71032i 0.597280 + 0.240023i
\(567\) −20.9402 + 10.7826i −0.879407 + 0.452826i
\(568\) −21.0280 36.5019i −0.882314 1.53159i
\(569\) 30.4391 + 15.0109i 1.27607 + 0.629290i 0.948871 0.315664i \(-0.102227\pi\)
0.327203 + 0.944954i \(0.393894\pi\)
\(570\) 0.576519 0.291938i 0.0241477 0.0122279i
\(571\) 12.3540 + 8.85275i 0.516999 + 0.370476i 0.810738 0.585410i \(-0.199066\pi\)
−0.293739 + 0.955886i \(0.594900\pi\)
\(572\) −12.5890 5.88011i −0.526373 0.245860i
\(573\) 0.459121 1.51352i 0.0191801 0.0632282i
\(574\) −25.5984 + 6.72837i −1.06846 + 0.280837i
\(575\) 19.0016 0.792423
\(576\) 4.70996 23.4446i 0.196248 0.976859i
\(577\) 1.69325 2.93279i 0.0704907 0.122094i −0.828626 0.559803i \(-0.810877\pi\)
0.899116 + 0.437709i \(0.144210\pi\)
\(578\) 19.2710 18.4362i 0.801566 0.766844i
\(579\) −0.199129 0.854020i −0.00827554 0.0354918i
\(580\) −66.4878 11.7672i −2.76076 0.488607i
\(581\) −1.80899 + 22.3370i −0.0750494 + 0.926693i
\(582\) 0.568120 0.870058i 0.0235493 0.0360651i
\(583\) 9.37443 19.0095i 0.388249 0.787292i
\(584\) −4.89505 + 2.02213i −0.202559 + 0.0836762i
\(585\) −19.5893 39.7232i −0.809918 1.64235i
\(586\) −4.80656 33.7441i −0.198557 1.39395i
\(587\) −9.18432 + 17.1826i −0.379077 + 0.709204i −0.997030 0.0770113i \(-0.975462\pi\)
0.617953 + 0.786215i \(0.287962\pi\)
\(588\) −1.11933 0.936618i −0.0461602 0.0386255i
\(589\) −0.0832934 0.845692i −0.00343204 0.0348461i
\(590\) −30.2178 + 32.9559i −1.24405 + 1.35677i
\(591\) −0.287257 0.374360i −0.0118162 0.0153991i
\(592\) 15.6311 + 22.9125i 0.642433 + 0.941698i
\(593\) −3.00179 2.30336i −0.123269 0.0945876i 0.545287 0.838249i \(-0.316421\pi\)
−0.668556 + 0.743662i \(0.733087\pi\)
\(594\) −1.30373 + 1.09325i −0.0534926 + 0.0448566i
\(595\) −51.0415 40.4261i −2.09250 1.65731i
\(596\) 2.99787 10.6929i 0.122797 0.437997i
\(597\) −0.681895 + 0.728052i −0.0279081 + 0.0297972i
\(598\) −2.19222 7.84808i −0.0896467 0.320932i
\(599\) 20.9083 + 7.09743i 0.854292 + 0.289993i 0.714025 0.700121i \(-0.246870\pi\)
0.140267 + 0.990114i \(0.455204\pi\)
\(600\) 3.50393 + 0.118054i 0.143048 + 0.00481955i
\(601\) −21.7505 4.32643i −0.887219 0.176479i −0.269615 0.962968i \(-0.586897\pi\)
−0.617604 + 0.786489i \(0.711897\pi\)
\(602\) 14.8237 + 39.9628i 0.604169 + 1.62876i
\(603\) −28.3417 + 23.2594i −1.15416 + 0.947198i
\(604\) 24.3444 3.73110i 0.990559 0.151817i
\(605\) −29.9317 0.979862i −1.21690 0.0398371i
\(606\) 1.11055 0.431464i 0.0451132 0.0175270i
\(607\) 16.9343 + 4.53752i 0.687340 + 0.184172i 0.585553 0.810634i \(-0.300877\pi\)
0.101787 + 0.994806i \(0.467544\pi\)
\(608\) −5.84672 + 1.48856i −0.237116 + 0.0603690i
\(609\) 0.624345 + 2.17808i 0.0252997 + 0.0882601i
\(610\) 34.2970 3.74509i 1.38864 0.151634i
\(611\) 35.6064 + 22.1415i 1.44048 + 0.895748i
\(612\) −34.3751 + 9.99569i −1.38953 + 0.404052i
\(613\) −3.67935 22.2855i −0.148608 0.900102i −0.952324 0.305090i \(-0.901314\pi\)
0.803716 0.595013i \(-0.202853\pi\)
\(614\) −17.4033 8.35442i −0.702341 0.337157i
\(615\) −2.97249 0.591265i −0.119862 0.0238421i
\(616\) 12.8269 + 6.58779i 0.516809 + 0.265430i
\(617\) 4.28218 + 21.5280i 0.172394 + 0.866683i 0.966058 + 0.258326i \(0.0831709\pi\)
−0.793664 + 0.608357i \(0.791829\pi\)
\(618\) −0.784565 1.32627i −0.0315598 0.0533503i
\(619\) −1.42743 + 6.12190i −0.0573731 + 0.246060i −0.994761 0.102227i \(-0.967403\pi\)
0.937388 + 0.348287i \(0.113237\pi\)
\(620\) 2.57589 6.02119i 0.103450 0.241817i
\(621\) −0.984488 0.162540i −0.0395061 0.00652249i
\(622\) −36.6391 3.21725i −1.46910 0.129000i
\(623\) 2.23088 + 1.65107i 0.0893783 + 0.0661487i
\(624\) −0.355491 1.46082i −0.0142310 0.0584796i
\(625\) −7.42977 56.4347i −0.297191 2.25739i
\(626\) 7.22345 + 11.3465i 0.288707 + 0.453498i
\(627\) 0.195149 + 0.0884210i 0.00779351 + 0.00353119i
\(628\) 5.29713 2.53666i 0.211379 0.101224i
\(629\) 19.5737 36.6198i 0.780453 1.46013i
\(630\) 18.7700 + 41.9575i 0.747815 + 1.67163i
\(631\) −1.89496 + 2.83601i −0.0754372 + 0.112900i −0.867270 0.497838i \(-0.834127\pi\)
0.791833 + 0.610738i \(0.209127\pi\)
\(632\) −0.132379 2.04968i −0.00526576 0.0815320i
\(633\) −0.115674 1.76484i −0.00459761 0.0701460i
\(634\) 14.0242 + 4.59552i 0.556971 + 0.182511i
\(635\) 16.2003 7.34028i 0.642891 0.291290i
\(636\) 2.23937 0.494962i 0.0887969 0.0196265i
\(637\) 24.3909 + 6.48313i 0.966402 + 0.256871i
\(638\) −10.7611 19.6296i −0.426034 0.777144i
\(639\) 38.5546 22.2595i 1.52520 0.880573i
\(640\) −45.0149 11.6438i −1.77937 0.460262i
\(641\) −10.2616 + 17.7736i −0.405308 + 0.702014i −0.994357 0.106083i \(-0.966169\pi\)
0.589050 + 0.808097i \(0.299502\pi\)
\(642\) −0.863343 + 1.42173i −0.0340734 + 0.0561110i
\(643\) 8.24347 27.1751i 0.325091 1.07168i −0.630304 0.776348i \(-0.717070\pi\)
0.955395 0.295332i \(-0.0954302\pi\)
\(644\) 1.96816 + 8.22424i 0.0775565 + 0.324081i
\(645\) −0.478386 + 4.85714i −0.0188364 + 0.191250i
\(646\) 6.02680 + 6.72718i 0.237121 + 0.264677i
\(647\) −14.1244 + 0.925764i −0.555289 + 0.0363955i −0.340465 0.940257i \(-0.610584\pi\)
−0.214824 + 0.976653i \(0.568918\pi\)
\(648\) 24.6910 + 4.93585i 0.969954 + 0.193898i
\(649\) −14.7921 0.969528i −0.580642 0.0380573i
\(650\) −55.7611 + 23.7919i −2.18713 + 0.933195i
\(651\) −0.219489 + 0.0110034i −0.00860246 + 0.000431257i
\(652\) 39.7445 + 3.06616i 1.55651 + 0.120080i
\(653\) 11.8988 + 16.6047i 0.465635 + 0.649792i 0.977909 0.209029i \(-0.0670304\pi\)
−0.512275 + 0.858822i \(0.671197\pi\)
\(654\) 1.45226 0.924543i 0.0567879 0.0361525i
\(655\) −7.32709 9.54885i −0.286293 0.373104i
\(656\) 25.8845 + 11.4288i 1.01062 + 0.446220i
\(657\) −2.14196 5.17114i −0.0835656 0.201745i
\(658\) −36.0647 24.3473i −1.40595 0.949156i
\(659\) 29.8567 36.3805i 1.16305 1.41718i 0.272586 0.962131i \(-0.412121\pi\)
0.890465 0.455051i \(-0.150379\pi\)
\(660\) 0.989958 + 1.32145i 0.0385341 + 0.0514374i
\(661\) −7.16230 1.67001i −0.278581 0.0649560i 0.0854511 0.996342i \(-0.472767\pi\)
−0.364032 + 0.931386i \(0.618600\pi\)
\(662\) −16.9072 9.52409i −0.657117 0.370164i
\(663\) −1.69219 + 1.48401i −0.0657192 + 0.0576342i
\(664\) 16.3938 17.4700i 0.636202 0.677968i
\(665\) 7.49376 8.85040i 0.290596 0.343204i
\(666\) −24.1986 + 16.5423i −0.937675 + 0.641001i
\(667\) 4.62441 12.2868i 0.179058 0.475745i
\(668\) 13.0976 3.80856i 0.506761 0.147358i
\(669\) 1.30829 + 0.0428291i 0.0505816 + 0.00165587i
\(670\) 42.1358 + 57.5044i 1.62785 + 2.22159i
\(671\) 8.08811 + 8.08811i 0.312238 + 0.312238i
\(672\) 0.311837 + 1.52879i 0.0120294 + 0.0589744i
\(673\) 7.16481 7.16481i 0.276183 0.276183i −0.555400 0.831583i \(-0.687435\pi\)
0.831583 + 0.555400i \(0.187435\pi\)
\(674\) 22.5814 + 3.48297i 0.869803 + 0.134159i
\(675\) −0.242897 + 7.41974i −0.00934911 + 0.285586i
\(676\) −0.00137465 0.00171502i −5.28713e−5 6.59622e-5i
\(677\) 6.16075 + 2.31874i 0.236777 + 0.0891165i 0.467809 0.883830i \(-0.345044\pi\)
−0.231032 + 0.972946i \(0.574210\pi\)
\(678\) −1.74228 0.327420i −0.0669120 0.0125745i
\(679\) 3.31983 18.3497i 0.127403 0.704195i
\(680\) 15.7414 + 67.8038i 0.603656 + 2.60016i
\(681\) 0.628689 + 0.716882i 0.0240914 + 0.0274710i
\(682\) 2.09120 0.584140i 0.0800761 0.0223679i
\(683\) −1.17790 + 5.05173i −0.0450711 + 0.193299i −0.991605 0.129306i \(-0.958725\pi\)
0.946534 + 0.322605i \(0.104558\pi\)
\(684\) −1.57903 6.17741i −0.0603757 0.236199i
\(685\) −18.6078 15.2710i −0.710969 0.583477i
\(686\) −25.0427 7.67229i −0.956134 0.292929i
\(687\) −0.478798 + 0.198325i −0.0182673 + 0.00756655i
\(688\) 14.2304 43.2874i 0.542530 1.65032i
\(689\) −31.4628 + 24.1423i −1.19864 + 0.919747i
\(690\) −0.209882 + 0.945293i −0.00799007 + 0.0359867i
\(691\) −21.2304 + 15.2135i −0.807643 + 0.578749i −0.909334 0.416067i \(-0.863408\pi\)
0.101691 + 0.994816i \(0.467575\pi\)
\(692\) −36.8014 + 12.0204i −1.39898 + 0.456948i
\(693\) −6.94916 + 13.5623i −0.263977 + 0.515189i
\(694\) −6.38220 2.56475i −0.242265 0.0973567i
\(695\) 2.30176 35.1180i 0.0873106 1.33210i
\(696\) 0.929084 2.23697i 0.0352168 0.0847920i
\(697\) −2.77044 42.2687i −0.104938 1.60104i
\(698\) 20.4393 + 1.12242i 0.773640 + 0.0424842i
\(699\) −1.10540 0.108872i −0.0418099 0.00411792i
\(700\) 58.7533 22.5045i 2.22067 0.850589i
\(701\) 10.9953 + 3.33537i 0.415285 + 0.125975i 0.491011 0.871153i \(-0.336627\pi\)
−0.0757261 + 0.997129i \(0.524127\pi\)
\(702\) 3.09253 0.755696i 0.116720 0.0285219i
\(703\) 6.40468 + 3.69774i 0.241557 + 0.139463i
\(704\) −6.33519 14.0534i −0.238766 0.529656i
\(705\) −2.49129 4.31504i −0.0938274 0.162514i
\(706\) −16.1566 4.71481i −0.608064 0.177444i
\(707\) 15.3489 14.8845i 0.577257 0.559790i
\(708\) −0.919184 1.31451i −0.0345451 0.0494023i
\(709\) −6.10574 13.4757i −0.229306 0.506089i 0.760356 0.649506i \(-0.225024\pi\)
−0.989662 + 0.143417i \(0.954191\pi\)
\(710\) −39.1057 77.2259i −1.46761 2.89823i
\(711\) 2.16601 0.141968i 0.0812316 0.00532420i
\(712\) −0.765188 2.86666i −0.0286766 0.107433i
\(713\) 1.05874 + 0.707428i 0.0396501 + 0.0264934i
\(714\) 1.81264 1.47318i 0.0678364 0.0551325i
\(715\) −25.1802 13.4591i −0.941687 0.503342i
\(716\) −27.5663 + 1.48741i −1.03020 + 0.0555871i
\(717\) −0.457921 + 1.01065i −0.0171014 + 0.0377435i
\(718\) −8.24404 + 37.1306i −0.307665 + 1.38570i
\(719\) −18.7064 + 2.46275i −0.697633 + 0.0918451i −0.470997 0.882135i \(-0.656106\pi\)
−0.226635 + 0.973980i \(0.572773\pi\)
\(720\) 12.2600 47.5842i 0.456902 1.77336i
\(721\) −22.2278 16.4508i −0.827807 0.612658i
\(722\) 19.3565 16.2316i 0.720375 0.604076i
\(723\) −0.173966 + 1.05369i −0.00646985 + 0.0391873i
\(724\) 0.0349882 3.03059i 0.00130033 0.112631i
\(725\) −95.1218 22.1793i −3.53274 0.823718i
\(726\) 0.267054 1.04062i 0.00991130 0.0386209i
\(727\) 30.0248 5.97231i 1.11356 0.221501i 0.396173 0.918176i \(-0.370338\pi\)
0.717387 + 0.696675i \(0.245338\pi\)
\(728\) −16.0732 21.6700i −0.595713 0.803145i
\(729\) −5.15329 + 25.9073i −0.190863 + 0.959531i
\(730\) −10.2680 + 3.60722i −0.380035 + 0.133509i
\(731\) −67.3039 + 11.1119i −2.48932 + 0.410989i
\(732\) −0.135525 + 1.23023i −0.00500913 + 0.0454707i
\(733\) 5.68496 9.14215i 0.209979 0.337673i −0.727260 0.686362i \(-0.759206\pi\)
0.937238 + 0.348689i \(0.113373\pi\)
\(734\) 39.2919 + 31.5556i 1.45029 + 1.16474i
\(735\) −2.19303 2.04576i −0.0808912 0.0754590i
\(736\) 3.83364 8.18725i 0.141310 0.301786i
\(737\) −6.11722 + 22.8298i −0.225331 + 0.840945i
\(738\) −12.0521 + 27.3668i −0.443642 + 1.00738i
\(739\) −0.556758 + 17.0072i −0.0204807 + 0.625620i 0.939012 + 0.343885i \(0.111743\pi\)
−0.959492 + 0.281735i \(0.909090\pi\)
\(740\) 29.5364 + 48.7444i 1.08578 + 1.79188i
\(741\) −0.254310 0.309878i −0.00934231 0.0113836i
\(742\) 33.5681 23.8131i 1.23232 0.874205i
\(743\) −1.68613 + 8.47673i −0.0618580 + 0.310981i −0.999310 0.0371325i \(-0.988178\pi\)
0.937452 + 0.348114i \(0.113178\pi\)
\(744\) 0.190838 + 0.137029i 0.00699648 + 0.00502372i
\(745\) 7.33514 21.6086i 0.268739 0.791679i
\(746\) 31.1096 + 17.5245i 1.13900 + 0.641617i
\(747\) 18.4791 + 17.3076i 0.676116 + 0.633252i
\(748\) −14.2590 + 18.1451i −0.521362 + 0.663450i
\(749\) −4.35022 + 29.5307i −0.158954 + 1.07903i
\(750\) 4.15868 + 0.365171i 0.151854 + 0.0133341i
\(751\) −15.0019 + 19.5508i −0.547427 + 0.713421i −0.982351 0.187047i \(-0.940108\pi\)
0.434924 + 0.900467i \(0.356775\pi\)
\(752\) 13.9318 + 44.3830i 0.508042 + 1.61848i
\(753\) 1.55669 1.19449i 0.0567289 0.0435297i
\(754\) 1.81371 + 41.8462i 0.0660513 + 1.52395i
\(755\) 50.3650 4.96052i 1.83297 0.180532i
\(756\) −3.23655 + 0.663397i −0.117712 + 0.0241275i
\(757\) 30.0293 + 16.0510i 1.09143 + 0.583383i 0.916029 0.401113i \(-0.131377\pi\)
0.175405 + 0.984496i \(0.443877\pi\)
\(758\) −13.7970 + 18.3804i −0.501129 + 0.667606i
\(759\) −0.287925 + 0.141989i −0.0104510 + 0.00515386i
\(760\) −12.1616 + 2.40703i −0.441148 + 0.0873122i
\(761\) −31.5783 15.5727i −1.14471 0.564509i −0.231839 0.972754i \(-0.574474\pi\)
−0.912873 + 0.408245i \(0.866141\pi\)
\(762\) 0.131095 + 0.624426i 0.00474908 + 0.0226206i
\(763\) 17.5568 25.4214i 0.635597 0.920317i
\(764\) −16.3195 + 25.5806i −0.590419 + 0.925472i
\(765\) −71.6404 + 16.7042i −2.59016 + 0.603941i
\(766\) 53.7795 + 1.19059i 1.94313 + 0.0430177i
\(767\) 24.0206 + 13.8683i 0.867333 + 0.500755i
\(768\) 0.757796 1.48592i 0.0273446 0.0536187i
\(769\) 6.07134i 0.218938i 0.993990 + 0.109469i \(0.0349151\pi\)
−0.993990 + 0.109469i \(0.965085\pi\)
\(770\) 25.5899 + 14.9375i 0.922196 + 0.538311i
\(771\) 1.73894 + 0.527502i 0.0626264 + 0.0189975i
\(772\) −0.744525 + 16.8071i −0.0267961 + 0.604899i
\(773\) 19.8015 27.6329i 0.712210 0.993888i −0.287142 0.957888i \(-0.592705\pi\)
0.999352 0.0360000i \(-0.0114616\pi\)
\(774\) 45.7613 + 14.9953i 1.64485 + 0.538995i
\(775\) 4.19006 8.49660i 0.150511 0.305207i
\(776\) −15.0005 + 13.1298i −0.538487 + 0.471332i
\(777\) 1.03479 1.60845i 0.0371230 0.0577029i
\(778\) −34.6647 + 14.7906i −1.24279 + 0.530269i
\(779\) 7.54046 0.246849i 0.270165 0.00884429i
\(780\) −0.567692 3.03679i −0.0203266 0.108735i
\(781\) 11.8442 26.1406i 0.423818 0.935385i
\(782\) −13.5211 + 0.586034i −0.483513 + 0.0209565i
\(783\) 4.73860 + 1.96279i 0.169344 + 0.0701445i
\(784\) 15.8259 + 23.0985i 0.565211 + 0.824946i
\(785\) 11.1500 4.61847i 0.397959 0.164840i
\(786\) 0.391382 0.182353i 0.0139601 0.00650432i
\(787\) 1.58611 0.596971i 0.0565388 0.0212797i −0.323820 0.946119i \(-0.604967\pi\)
0.380359 + 0.924839i \(0.375801\pi\)
\(788\) 3.36752 + 8.40301i 0.119963 + 0.299345i
\(789\) 0.739262 0.789303i 0.0263184 0.0280999i
\(790\) −0.0446963 4.22037i −0.00159022 0.150154i
\(791\) −31.0899 + 6.74740i −1.10543 + 0.239910i
\(792\) 14.8454 6.70931i 0.527510 0.238405i
\(793\) −6.87944 20.2662i −0.244296 0.719673i
\(794\) 0.705230 + 9.25657i 0.0250277 + 0.328504i
\(795\) 4.64974 0.767675i 0.164909 0.0272266i
\(796\) 16.3668 9.91736i 0.580105 0.351512i
\(797\) 17.9696 9.60493i 0.636514 0.340224i −0.121375 0.992607i \(-0.538730\pi\)
0.757890 + 0.652383i \(0.226230\pi\)
\(798\) 0.251681 + 0.331256i 0.00890939 + 0.0117263i
\(799\) 49.2428 49.2428i 1.74208 1.74208i
\(800\) −64.1146 20.3274i −2.26679 0.718683i
\(801\) 3.02876 0.811555i 0.107016 0.0286749i
\(802\) −20.0963 + 7.80767i −0.709626 + 0.275699i
\(803\) −3.06407 1.90536i −0.108129 0.0672387i
\(804\) −2.34149 + 1.02850i −0.0825780 + 0.0362725i
\(805\) 3.12790 + 17.0931i 0.110244 + 0.602453i
\(806\) −3.99268 0.750329i −0.140636 0.0264292i
\(807\) −0.436864 1.28696i −0.0153783 0.0453031i
\(808\) −22.7491 + 2.21867i −0.800311 + 0.0780527i
\(809\) −0.810892 + 2.38881i −0.0285094 + 0.0839861i −0.960253 0.279130i \(-0.909954\pi\)
0.931744 + 0.363116i \(0.118287\pi\)
\(810\) 50.1167 + 12.8615i 1.76092 + 0.451905i
\(811\) 3.20283 + 10.5583i 0.112466 + 0.370752i 0.995047 0.0994097i \(-0.0316955\pi\)
−0.882580 + 0.470162i \(0.844195\pi\)
\(812\) −0.253002 43.4677i −0.00887863 1.52542i
\(813\) −0.707738 + 0.862382i −0.0248215 + 0.0302450i
\(814\) −6.46844 + 17.7543i −0.226719 + 0.622288i
\(815\) 81.2116 + 10.6917i 2.84472 + 0.374514i
\(816\) −2.49695 + 0.0240612i −0.0874108 + 0.000842310i
\(817\) −1.58584 12.0456i −0.0554814 0.421423i
\(818\) 16.3264 5.14199i 0.570839 0.179785i
\(819\) 22.8851 17.0083i 0.799669 0.594318i
\(820\) 51.8468 + 26.3164i 1.81057 + 0.919009i
\(821\) 30.7970 1.00819i 1.07482 0.0351860i 0.509824 0.860279i \(-0.329710\pi\)
0.564998 + 0.825093i \(0.308877\pi\)
\(822\) 0.679494 0.532921i 0.0237001 0.0185878i
\(823\) 13.6445 6.72874i 0.475618 0.234549i −0.188648 0.982045i \(-0.560411\pi\)
0.664267 + 0.747496i \(0.268744\pi\)
\(824\) 7.62411 + 28.5626i 0.265598 + 0.995024i
\(825\) 1.32696 + 1.98594i 0.0461989 + 0.0691415i
\(826\) −24.3714 15.3168i −0.847988 0.532939i
\(827\) 2.84887 28.9251i 0.0990651 1.00582i −0.809229 0.587493i \(-0.800115\pi\)
0.908294 0.418332i \(-0.137385\pi\)
\(828\) 8.65629 + 4.04320i 0.300827 + 0.140511i
\(829\) −35.0265 37.3974i −1.21652 1.29887i −0.941334 0.337476i \(-0.890427\pi\)
−0.275187 0.961391i \(-0.588740\pi\)
\(830\) 35.5723 34.0314i 1.23473 1.18125i
\(831\) 0.0473685 0.0273482i 0.00164320 0.000948700i
\(832\) −0.998741 + 28.8259i −0.0346251 + 0.999358i
\(833\) 19.6855 37.0072i 0.682061 1.28222i
\(834\) 1.21197 + 0.353675i 0.0419670 + 0.0122467i
\(835\) 27.2964 6.36464i 0.944633 0.220257i
\(836\) −3.14694 2.64401i −0.108839 0.0914451i
\(837\) −0.289769 + 0.404373i −0.0100159 + 0.0139772i
\(838\) 0.427005 7.77577i 0.0147506 0.268610i
\(839\) 6.75644 4.51451i 0.233258 0.155858i −0.433448 0.901178i \(-0.642703\pi\)
0.666707 + 0.745320i \(0.267703\pi\)
\(840\) 0.470594 + 3.17143i 0.0162370 + 0.109425i
\(841\) −21.3796 + 31.9969i −0.737228 + 1.10334i
\(842\) 8.95274 1.27524i 0.308532 0.0439478i
\(843\) 0.887998 + 1.42802i 0.0305843 + 0.0491835i
\(844\) −7.00323 + 33.1998i −0.241061 + 1.14278i
\(845\) −0.00263075 0.00367121i −9.05007e−5 0.000126294i
\(846\) −46.8907 + 14.7682i −1.61213 + 0.507740i
\(847\) −2.84802 19.0681i −0.0978592 0.655188i
\(848\) −43.9299 2.45445i −1.50856 0.0842862i
\(849\) −0.687230 + 0.895616i −0.0235857 + 0.0307375i
\(850\) 17.4532 + 99.1667i 0.598642 + 3.40139i
\(851\) −10.3713 + 3.90348i −0.355524 + 0.133810i
\(852\) 3.00859 0.769037i 0.103073 0.0263468i
\(853\) 53.3718 16.1901i 1.82741 0.554340i 0.827440 0.561554i \(-0.189796\pi\)
0.999974 + 0.00721350i \(0.00229615\pi\)
\(854\) 6.34601 + 21.2849i 0.217156 + 0.728355i
\(855\) −2.55606 12.8502i −0.0874153 0.439466i
\(856\) 23.3110 21.7914i 0.796755 0.744816i
\(857\) −7.74102 + 8.82694i −0.264428 + 0.301523i −0.868783 0.495193i \(-0.835098\pi\)
0.604355 + 0.796715i \(0.293431\pi\)
\(858\) 0.667143 0.777181i 0.0227759 0.0265325i
\(859\) 2.65997 7.06736i 0.0907569 0.241135i −0.882729 0.469883i \(-0.844296\pi\)
0.973486 + 0.228747i \(0.0734629\pi\)
\(860\) 33.9918 87.2454i 1.15911 2.97504i
\(861\) 0.0299678 1.95087i 0.00102130 0.0664856i
\(862\) −19.2284 15.4425i −0.654922 0.525973i
\(863\) 5.35607 19.9891i 0.182323 0.680437i −0.812865 0.582452i \(-0.802093\pi\)
0.995188 0.0979856i \(-0.0312399\pi\)
\(864\) 3.14794 + 1.60161i 0.107095 + 0.0544880i
\(865\) −76.8432 + 20.5901i −2.61275 + 0.700084i
\(866\) 4.23992 3.10676i 0.144078 0.105572i
\(867\) 0.926751 + 1.73383i 0.0314741 + 0.0588839i
\(868\) 4.11148 + 0.933465i 0.139553 + 0.0316839i
\(869\) 1.08167 0.887700i 0.0366930 0.0301132i
\(870\) 2.15404 4.48714i 0.0730288 0.152128i
\(871\) 29.1583 33.2487i 0.987991 1.12659i
\(872\) −31.6149 + 9.55734i −1.07062 + 0.323652i
\(873\) −13.8909 15.8396i −0.470136 0.536088i
\(874\) −0.0255268 2.41033i −0.000863457 0.0815305i
\(875\) 71.3028 22.9889i 2.41048 0.777166i
\(876\) −0.0464881 0.387642i −0.00157069 0.0130972i
\(877\) 1.08846 6.59268i 0.0367546 0.222619i −0.961967 0.273165i \(-0.911929\pi\)
0.998722 + 0.0505460i \(0.0160961\pi\)
\(878\) −9.88153 + 14.1027i −0.333485 + 0.475944i
\(879\) 2.49109 + 0.327958i 0.0840223 + 0.0110617i
\(880\) −11.4432 29.5373i −0.385749 0.995701i
\(881\) 12.0015 28.9741i 0.404339 0.976161i −0.582261 0.813002i \(-0.697832\pi\)
0.986600 0.163159i \(-0.0521683\pi\)
\(882\) −24.3949 + 16.7484i −0.821420 + 0.563948i
\(883\) 0.857659 + 8.70796i 0.0288625 + 0.293046i 0.998770 + 0.0495742i \(0.0157864\pi\)
−0.969908 + 0.243472i \(0.921714\pi\)
\(884\) 38.9444 18.6495i 1.30984 0.627249i
\(885\) −1.74053 2.79899i −0.0585071 0.0940871i
\(886\) −1.60011 + 13.2357i −0.0537568 + 0.444663i
\(887\) 3.06003 46.6870i 0.102746 1.56760i −0.566190 0.824275i \(-0.691583\pi\)
0.668935 0.743321i \(-0.266750\pi\)
\(888\) −1.93674 + 0.655374i −0.0649927 + 0.0219929i
\(889\) 6.52563 + 9.40843i 0.218862 + 0.315549i
\(890\) −1.25270 5.96678i −0.0419905 0.200007i
\(891\) 7.07956 + 15.6249i 0.237174 + 0.523455i
\(892\) −23.9455 7.56674i −0.801755 0.253353i
\(893\) 8.47883 + 9.05275i 0.283733 + 0.302939i
\(894\) 0.699719 + 0.424904i 0.0234021 + 0.0142109i
\(895\) −56.7275 −1.89619
\(896\) 2.15716 29.8554i 0.0720657 0.997400i
\(897\) 0.600675 0.0200560
\(898\) 13.2573 + 8.05048i 0.442401 + 0.268648i
\(899\) −4.47430 4.77716i −0.149226 0.159327i
\(900\) 21.4177 67.7780i 0.713924 2.25927i
\(901\) 27.1840 + 59.9964i 0.905631 + 1.99877i
\(902\) 3.96070 + 18.8654i 0.131877 + 0.628149i
\(903\) −3.13127 + 0.259910i −0.104202 + 0.00864925i
\(904\) 30.4885 + 15.0714i 1.01403 + 0.501268i
\(905\) 0.407323 6.21455i 0.0135399 0.206579i
\(906\) −0.217898 + 1.80240i −0.00723918 + 0.0598807i
\(907\) 2.84741 + 4.57900i 0.0945466 + 0.152043i 0.893066 0.449926i \(-0.148550\pi\)
−0.798519 + 0.601969i \(0.794383\pi\)
\(908\) −7.90069 16.4985i −0.262194 0.547521i
\(909\) −2.36768 24.0394i −0.0785309 0.797337i
\(910\) −30.5812 46.2440i −1.01376 1.53297i
\(911\) −6.46647 + 15.6114i −0.214244 + 0.517230i −0.994067 0.108770i \(-0.965309\pi\)
0.779823 + 0.626000i \(0.215309\pi\)
\(912\) 0.0102678 0.444627i 0.000340001 0.0147231i
\(913\) 16.1817 + 2.13037i 0.535537 + 0.0705048i
\(914\) 25.7410 36.7371i 0.851438 1.21516i
\(915\) −0.414286 + 2.50929i −0.0136959 + 0.0829547i
\(916\) 9.87165 1.18386i 0.326169 0.0391158i
\(917\) 5.19783 5.74649i 0.171647 0.189766i
\(918\) −0.0559946 5.28719i −0.00184810 0.174503i
\(919\) −37.8827 43.1970i −1.24964 1.42494i −0.864926 0.501899i \(-0.832635\pi\)
−0.384710 0.923037i \(-0.625699\pi\)
\(920\) 8.77264 16.3749i 0.289226 0.539863i
\(921\) 0.938291 1.06992i 0.0309178 0.0352549i
\(922\) 1.81744 3.78595i 0.0598540 0.124684i
\(923\) −41.5087 + 34.0653i −1.36628 + 1.12127i
\(924\) −0.722104 + 0.780033i −0.0237555 + 0.0256612i
\(925\) 38.8650 + 72.7114i 1.27787 + 2.39074i
\(926\) 23.9532 17.5515i 0.787151 0.576778i
\(927\) −30.1777 + 8.08609i −0.991166 + 0.265582i
\(928\) −28.7475 + 36.5104i −0.943684 + 1.19851i
\(929\) 12.3869 46.2285i 0.406400 1.51671i −0.395058 0.918656i \(-0.629276\pi\)
0.801459 0.598050i \(-0.204058\pi\)
\(930\) 0.376408 + 0.302296i 0.0123429 + 0.00991267i
\(931\) 6.47300 + 3.71990i 0.212144 + 0.121915i
\(932\) 19.8555 + 7.73591i 0.650387 + 0.253398i
\(933\) 0.955049 2.53750i 0.0312669 0.0830741i
\(934\) −14.0120 + 16.3232i −0.458487 + 0.534110i
\(935\) −31.2668 + 35.6530i −1.02253 + 1.16598i
\(936\) −30.4647 1.02642i −0.995770 0.0335494i
\(937\) 11.4709 + 57.6682i 0.374739 + 1.88394i 0.460561 + 0.887628i \(0.347648\pi\)
−0.0858219 + 0.996310i \(0.527352\pi\)
\(938\) −31.5325 + 33.3466i −1.02957 + 1.08881i
\(939\) −0.948836 + 0.287826i −0.0309641 + 0.00939286i
\(940\) 23.6727 + 92.6113i 0.772119 + 3.02065i
\(941\) 54.8462 20.6427i 1.78794 0.672932i 0.789704 0.613487i \(-0.210234\pi\)
0.998232 0.0594441i \(-0.0189328\pi\)
\(942\) 0.0750448 + 0.426394i 0.00244509 + 0.0138927i
\(943\) −6.88196 + 8.96875i −0.224108 + 0.292063i
\(944\) 10.1717 + 29.0425i 0.331062 + 0.945254i
\(945\) −6.71449 + 1.00288i −0.218422 + 0.0326237i
\(946\) 29.6091 9.32537i 0.962676 0.303194i
\(947\) −7.47936 10.4374i −0.243047 0.339171i 0.673436 0.739245i \(-0.264818\pi\)
−0.916483 + 0.400074i \(0.868984\pi\)
\(948\) 0.148149 + 0.0312508i 0.00481165 + 0.00101498i
\(949\) 3.56508 + 5.73311i 0.115727 + 0.186105i
\(950\) −17.7545 + 2.52899i −0.576034 + 0.0820512i
\(951\) −0.604401 + 0.904551i −0.0195991 + 0.0293321i
\(952\) −41.1133 + 17.8256i −1.33249 + 0.577732i
\(953\) 14.3882 9.61386i 0.466078 0.311423i −0.300264 0.953856i \(-0.597075\pi\)
0.766342 + 0.642433i \(0.222075\pi\)
\(954\) 2.54960 46.4284i 0.0825464 1.50317i
\(955\) −36.3179 + 50.6816i −1.17522 + 1.64002i
\(956\) 13.6930 16.2976i 0.442864 0.527103i
\(957\) 1.60708 0.374718i 0.0519495 0.0121129i
\(958\) 38.0217 + 11.0954i 1.22842 + 0.358477i
\(959\) 7.51424 13.5532i 0.242648 0.437657i
\(960\) 1.71943 2.96505i 0.0554942 0.0956965i
\(961\) −26.2970 + 15.1826i −0.848290 + 0.489761i
\(962\) 25.5475 24.4408i 0.823684 0.788004i
\(963\) 23.0531 + 24.6135i 0.742875 + 0.793160i
\(964\) 8.67058 18.5633i 0.279261 0.597883i
\(965\) −3.38847 + 34.4037i −0.109079 + 1.10750i
\(966\) −0.622938 0.0233679i −0.0200427 0.000751848i
\(967\) 10.1916 + 15.2528i 0.327739 + 0.490495i 0.958347 0.285606i \(-0.0921947\pi\)
−0.630609 + 0.776101i \(0.717195\pi\)
\(968\) −10.3224 + 17.8396i −0.331775 + 0.573387i
\(969\) −0.597141 + 0.294477i −0.0191829 + 0.00945997i
\(970\) −32.2330 + 25.2801i −1.03494 + 0.811694i
\(971\) 61.6135 2.01702i 1.97727 0.0647292i 0.983833 0.179090i \(-0.0573152\pi\)
0.993439 + 0.114360i \(0.0364818\pi\)
\(972\) −2.53569 + 4.99564i −0.0813323 + 0.160235i
\(973\) 22.5056 2.61192i 0.721495 0.0837342i
\(974\) −5.17033 + 1.62839i −0.165668 + 0.0521770i
\(975\) −0.583322 4.43077i −0.0186813 0.141898i
\(976\) 8.87477 22.0235i 0.284075 0.704954i
\(977\) −21.7572 2.86439i −0.696075 0.0916400i −0.225818 0.974170i \(-0.572505\pi\)
−0.470257 + 0.882530i \(0.655839\pi\)
\(978\) −1.00591 + 2.76097i −0.0321653 + 0.0882861i
\(979\) 1.28232 1.56251i 0.0409832 0.0499381i
\(980\) 29.9156 + 49.1476i 0.955620 + 1.56996i
\(981\) −10.1322 33.4015i −0.323498 1.06643i
\(982\) −31.7184 8.13989i −1.01217 0.259754i
\(983\) −5.92841 + 17.4645i −0.189087 + 0.557032i −0.999588 0.0287052i \(-0.990862\pi\)
0.810501 + 0.585737i \(0.199195\pi\)
\(984\) −1.32477 + 1.61110i −0.0422320 + 0.0513599i
\(985\) 5.97944 + 17.6149i 0.190521 + 0.561256i
\(986\) 68.3703 + 12.8486i 2.17735 + 0.409181i
\(987\) 2.44385 2.07767i 0.0777886 0.0661329i
\(988\) 3.09287 + 7.04124i 0.0983974 + 0.224012i
\(989\) 15.4599 + 9.61359i 0.491596 + 0.305694i
\(990\) 31.2040 12.1231i 0.991727 0.385298i
\(991\) −19.7027 + 5.27931i −0.625876 + 0.167703i −0.557797 0.829977i \(-0.688353\pi\)
−0.0680782 + 0.997680i \(0.521687\pi\)
\(992\) −2.81558 3.51959i −0.0893946 0.111747i
\(993\) 1.01150 1.01150i 0.0320989 0.0320989i
\(994\) 44.3724 33.7131i 1.40741 1.06932i
\(995\) 34.6808 18.5373i 1.09945 0.587670i
\(996\) 0.915214 + 1.51039i 0.0289997 + 0.0478586i
\(997\) 27.7676 4.58444i 0.879408 0.145191i 0.293879 0.955843i \(-0.405054\pi\)
0.585529 + 0.810652i \(0.300887\pi\)
\(998\) 0.997652 + 13.0948i 0.0315801 + 0.414508i
\(999\) −1.39165 4.09968i −0.0440299 0.129708i
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 896.2.bt.a.59.84 4032
7.5 odd 6 inner 896.2.bt.a.187.2 yes 4032
128.115 odd 32 inner 896.2.bt.a.115.2 yes 4032
896.243 even 96 inner 896.2.bt.a.243.84 yes 4032
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
896.2.bt.a.59.84 4032 1.1 even 1 trivial
896.2.bt.a.115.2 yes 4032 128.115 odd 32 inner
896.2.bt.a.187.2 yes 4032 7.5 odd 6 inner
896.2.bt.a.243.84 yes 4032 896.243 even 96 inner