Properties

Label 966.2.y.a.25.7
Level $966$
Weight $2$
Character 966.25
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(25,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.y (of order \(33\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 25.7
Character \(\chi\) \(=\) 966.25
Dual form 966.2.y.a.541.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0475819 + 0.998867i) q^{2} +(-0.928368 - 0.371662i) q^{3} +(-0.995472 - 0.0950560i) q^{4} +(0.534809 + 2.20451i) q^{5} +(0.415415 - 0.909632i) q^{6} +(-2.08203 - 1.63252i) q^{7} +(0.142315 - 0.989821i) q^{8} +(0.723734 + 0.690079i) q^{9} +O(q^{10})\) \(q+(-0.0475819 + 0.998867i) q^{2} +(-0.928368 - 0.371662i) q^{3} +(-0.995472 - 0.0950560i) q^{4} +(0.534809 + 2.20451i) q^{5} +(0.415415 - 0.909632i) q^{6} +(-2.08203 - 1.63252i) q^{7} +(0.142315 - 0.989821i) q^{8} +(0.723734 + 0.690079i) q^{9} +(-2.22746 + 0.429308i) q^{10} +(0.240284 + 5.04418i) q^{11} +(0.888835 + 0.458227i) q^{12} +(-2.66668 - 3.07751i) q^{13} +(1.72974 - 2.00200i) q^{14} +(0.322835 - 2.24537i) q^{15} +(0.981929 + 0.189251i) q^{16} +(-2.83271 - 3.97799i) q^{17} +(-0.723734 + 0.690079i) q^{18} +(1.71174 - 2.40381i) q^{19} +(-0.322835 - 2.24537i) q^{20} +(1.32615 + 2.28940i) q^{21} -5.04990 q^{22} +(-2.13809 + 4.29285i) q^{23} +(-0.500000 + 0.866025i) q^{24} +(-0.129671 + 0.0668502i) q^{25} +(3.20091 - 2.51722i) q^{26} +(-0.415415 - 0.909632i) q^{27} +(1.91743 + 1.82304i) q^{28} +(-0.977249 + 2.13988i) q^{29} +(2.22746 + 0.429308i) q^{30} +(-3.08397 - 2.42526i) q^{31} +(-0.235759 + 0.971812i) q^{32} +(1.65166 - 4.77216i) q^{33} +(4.10827 - 2.64023i) q^{34} +(2.48542 - 5.46296i) q^{35} +(-0.654861 - 0.755750i) q^{36} +(-6.87595 - 6.55620i) q^{37} +(2.31964 + 1.82418i) q^{38} +(1.33186 + 3.84816i) q^{39} +(2.25818 - 0.215630i) q^{40} +(9.72119 + 2.85440i) q^{41} +(-2.34990 + 1.21571i) q^{42} +(-1.36917 - 9.52278i) q^{43} +(0.240284 - 5.04418i) q^{44} +(-1.13423 + 1.96454i) q^{45} +(-4.18626 - 2.33993i) q^{46} +(-5.37775 - 9.31454i) q^{47} +(-0.841254 - 0.540641i) q^{48} +(1.66974 + 6.79794i) q^{49} +(-0.0606045 - 0.132705i) q^{50} +(1.15133 + 4.74585i) q^{51} +(2.36206 + 3.31706i) q^{52} +(-2.94635 - 8.51292i) q^{53} +(0.928368 - 0.371662i) q^{54} +(-10.9914 + 3.22738i) q^{55} +(-1.91221 + 1.82851i) q^{56} +(-2.48253 + 1.59543i) q^{57} +(-2.09095 - 1.07796i) q^{58} +(-4.41622 + 0.851156i) q^{59} +(-0.534809 + 2.20451i) q^{60} +(0.817022 - 0.327086i) q^{61} +(2.56925 - 2.96508i) q^{62} +(-0.380270 - 2.61828i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(5.35824 - 7.52459i) q^{65} +(4.68816 + 1.87686i) q^{66} +(1.76228 - 0.908520i) q^{67} +(2.44176 + 4.22925i) q^{68} +(3.58042 - 3.19070i) q^{69} +(5.33851 + 2.74255i) q^{70} +(-10.1601 - 6.52950i) q^{71} +(0.786053 - 0.618159i) q^{72} +(8.60245 + 0.821434i) q^{73} +(6.87595 - 6.55620i) q^{74} +(0.145228 - 0.0138676i) q^{75} +(-1.93249 + 2.23021i) q^{76} +(7.73446 - 10.8944i) q^{77} +(-3.90718 + 1.14725i) q^{78} +(-2.05452 + 5.93616i) q^{79} +(0.107937 + 2.26589i) q^{80} +(0.0475819 + 0.998867i) q^{81} +(-3.31372 + 9.57436i) q^{82} +(-3.31282 + 0.972731i) q^{83} +(-1.10252 - 2.40509i) q^{84} +(7.25457 - 8.37222i) q^{85} +(9.57714 - 0.914506i) q^{86} +(1.70256 - 1.62339i) q^{87} +(5.02703 + 0.480023i) q^{88} +(3.92081 - 3.08336i) q^{89} +(-1.90835 - 1.22642i) q^{90} +(0.528010 + 10.7609i) q^{91} +(2.53647 - 4.07018i) q^{92} +(1.96168 + 3.39773i) q^{93} +(9.55988 - 4.92846i) q^{94} +(6.21467 + 2.48798i) q^{95} +(0.580057 - 0.814576i) q^{96} +(-5.98825 - 1.75831i) q^{97} +(-6.86969 + 1.34439i) q^{98} +(-3.30698 + 3.81646i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 8 q^{2} - 8 q^{3} + 8 q^{4} + 2 q^{5} - 16 q^{6} - 2 q^{7} + 16 q^{8} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 8 q^{2} - 8 q^{3} + 8 q^{4} + 2 q^{5} - 16 q^{6} - 2 q^{7} + 16 q^{8} + 8 q^{9} - 2 q^{10} + 4 q^{11} - 8 q^{12} + 4 q^{13} - 9 q^{14} - 18 q^{15} + 8 q^{16} + 9 q^{17} - 8 q^{18} + 18 q^{20} + 7 q^{21} + 52 q^{22} + 22 q^{23} - 80 q^{24} + 42 q^{25} + 2 q^{26} + 16 q^{27} - 18 q^{28} - 54 q^{29} + 2 q^{30} - 15 q^{31} - 8 q^{32} + 18 q^{33} + 84 q^{34} + 82 q^{35} - 16 q^{36} + 3 q^{37} + 11 q^{38} + 2 q^{39} - 13 q^{40} + 22 q^{41} - 2 q^{42} - 96 q^{43} + 4 q^{44} - 20 q^{45} - 26 q^{47} + 16 q^{48} - 2 q^{49} - 4 q^{50} + 13 q^{51} - 2 q^{52} + 16 q^{53} + 8 q^{54} - 34 q^{55} + 2 q^{56} - 22 q^{57} - 5 q^{58} - 6 q^{59} - 2 q^{60} + 40 q^{61} - 8 q^{62} - 2 q^{63} - 16 q^{64} - 82 q^{65} + 4 q^{66} + 10 q^{67} - 46 q^{68} - 22 q^{69} + 100 q^{70} + 92 q^{71} - 8 q^{72} + 68 q^{73} - 3 q^{74} + 2 q^{75} - 7 q^{77} - 18 q^{78} - 78 q^{79} + 2 q^{80} + 8 q^{81} + 55 q^{82} - 42 q^{83} - 9 q^{84} + 50 q^{85} + 40 q^{86} + 6 q^{87} + 7 q^{88} - 80 q^{89} + 4 q^{90} - 62 q^{91} + 66 q^{92} + 26 q^{93} + 4 q^{94} - 17 q^{95} + 8 q^{96} - 8 q^{97} - 3 q^{98} + 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0475819 + 0.998867i −0.0336455 + 0.706306i
\(3\) −0.928368 0.371662i −0.535993 0.214579i
\(4\) −0.995472 0.0950560i −0.497736 0.0475280i
\(5\) 0.534809 + 2.20451i 0.239174 + 0.985887i 0.957098 + 0.289766i \(0.0935774\pi\)
−0.717924 + 0.696122i \(0.754907\pi\)
\(6\) 0.415415 0.909632i 0.169592 0.371356i
\(7\) −2.08203 1.63252i −0.786935 0.617036i
\(8\) 0.142315 0.989821i 0.0503159 0.349955i
\(9\) 0.723734 + 0.690079i 0.241245 + 0.230026i
\(10\) −2.22746 + 0.429308i −0.704385 + 0.135759i
\(11\) 0.240284 + 5.04418i 0.0724483 + 1.52088i 0.683888 + 0.729587i \(0.260287\pi\)
−0.611440 + 0.791291i \(0.709409\pi\)
\(12\) 0.888835 + 0.458227i 0.256585 + 0.132279i
\(13\) −2.66668 3.07751i −0.739603 0.853547i 0.253915 0.967227i \(-0.418282\pi\)
−0.993517 + 0.113680i \(0.963736\pi\)
\(14\) 1.72974 2.00200i 0.462293 0.535057i
\(15\) 0.322835 2.24537i 0.0833556 0.579751i
\(16\) 0.981929 + 0.189251i 0.245482 + 0.0473128i
\(17\) −2.83271 3.97799i −0.687034 0.964805i −0.999887 0.0150031i \(-0.995224\pi\)
0.312853 0.949801i \(-0.398715\pi\)
\(18\) −0.723734 + 0.690079i −0.170586 + 0.162653i
\(19\) 1.71174 2.40381i 0.392701 0.551471i −0.570138 0.821549i \(-0.693110\pi\)
0.962838 + 0.270078i \(0.0870495\pi\)
\(20\) −0.322835 2.24537i −0.0721881 0.502079i
\(21\) 1.32615 + 2.28940i 0.289389 + 0.499587i
\(22\) −5.04990 −1.07664
\(23\) −2.13809 + 4.29285i −0.445822 + 0.895122i
\(24\) −0.500000 + 0.866025i −0.102062 + 0.176777i
\(25\) −0.129671 + 0.0668502i −0.0259343 + 0.0133700i
\(26\) 3.20091 2.51722i 0.627750 0.493668i
\(27\) −0.415415 0.909632i −0.0799467 0.175059i
\(28\) 1.91743 + 1.82304i 0.362359 + 0.344522i
\(29\) −0.977249 + 2.13988i −0.181471 + 0.397365i −0.978404 0.206702i \(-0.933727\pi\)
0.796933 + 0.604067i \(0.206454\pi\)
\(30\) 2.22746 + 0.429308i 0.406677 + 0.0783806i
\(31\) −3.08397 2.42526i −0.553897 0.435590i 0.301572 0.953443i \(-0.402489\pi\)
−0.855469 + 0.517854i \(0.826731\pi\)
\(32\) −0.235759 + 0.971812i −0.0416767 + 0.171794i
\(33\) 1.65166 4.77216i 0.287517 0.830726i
\(34\) 4.10827 2.64023i 0.704563 0.452795i
\(35\) 2.48542 5.46296i 0.420113 0.923408i
\(36\) −0.654861 0.755750i −0.109143 0.125958i
\(37\) −6.87595 6.55620i −1.13040 1.07783i −0.996219 0.0868762i \(-0.972312\pi\)
−0.134180 0.990957i \(-0.542840\pi\)
\(38\) 2.31964 + 1.82418i 0.376295 + 0.295921i
\(39\) 1.33186 + 3.84816i 0.213269 + 0.616199i
\(40\) 2.25818 0.215630i 0.357050 0.0340942i
\(41\) 9.72119 + 2.85440i 1.51819 + 0.445782i 0.931413 0.363964i \(-0.118577\pi\)
0.586781 + 0.809746i \(0.300395\pi\)
\(42\) −2.34990 + 1.21571i −0.362598 + 0.187588i
\(43\) −1.36917 9.52278i −0.208796 1.45221i −0.777093 0.629386i \(-0.783306\pi\)
0.568296 0.822824i \(-0.307603\pi\)
\(44\) 0.240284 5.04418i 0.0362242 0.760439i
\(45\) −1.13423 + 1.96454i −0.169081 + 0.292856i
\(46\) −4.18626 2.33993i −0.617230 0.345003i
\(47\) −5.37775 9.31454i −0.784426 1.35867i −0.929341 0.369222i \(-0.879624\pi\)
0.144915 0.989444i \(-0.453709\pi\)
\(48\) −0.841254 0.540641i −0.121424 0.0780348i
\(49\) 1.66974 + 6.79794i 0.238534 + 0.971134i
\(50\) −0.0606045 0.132705i −0.00857077 0.0187674i
\(51\) 1.15133 + 4.74585i 0.161219 + 0.664552i
\(52\) 2.36206 + 3.31706i 0.327559 + 0.459993i
\(53\) −2.94635 8.51292i −0.404712 1.16934i −0.944777 0.327715i \(-0.893721\pi\)
0.540064 0.841624i \(-0.318400\pi\)
\(54\) 0.928368 0.371662i 0.126335 0.0505769i
\(55\) −10.9914 + 3.22738i −1.48209 + 0.435180i
\(56\) −1.91221 + 1.82851i −0.255530 + 0.244345i
\(57\) −2.48253 + 1.59543i −0.328819 + 0.211319i
\(58\) −2.09095 1.07796i −0.274556 0.141543i
\(59\) −4.41622 + 0.851156i −0.574942 + 0.110811i −0.468430 0.883500i \(-0.655180\pi\)
−0.106512 + 0.994311i \(0.533968\pi\)
\(60\) −0.534809 + 2.20451i −0.0690435 + 0.284601i
\(61\) 0.817022 0.327086i 0.104609 0.0418791i −0.318768 0.947833i \(-0.603269\pi\)
0.423377 + 0.905954i \(0.360845\pi\)
\(62\) 2.56925 2.96508i 0.326296 0.376565i
\(63\) −0.380270 2.61828i −0.0479095 0.329872i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) 5.35824 7.52459i 0.664608 0.933311i
\(66\) 4.68816 + 1.87686i 0.577073 + 0.231025i
\(67\) 1.76228 0.908520i 0.215297 0.110993i −0.347205 0.937789i \(-0.612869\pi\)
0.562502 + 0.826796i \(0.309839\pi\)
\(68\) 2.44176 + 4.22925i 0.296106 + 0.512871i
\(69\) 3.58042 3.19070i 0.431032 0.384115i
\(70\) 5.33851 + 2.74255i 0.638074 + 0.327797i
\(71\) −10.1601 6.52950i −1.20578 0.774909i −0.225834 0.974166i \(-0.572511\pi\)
−0.979947 + 0.199257i \(0.936147\pi\)
\(72\) 0.786053 0.618159i 0.0926372 0.0728507i
\(73\) 8.60245 + 0.821434i 1.00684 + 0.0961416i 0.585425 0.810726i \(-0.300928\pi\)
0.421415 + 0.906868i \(0.361534\pi\)
\(74\) 6.87595 6.55620i 0.799313 0.762143i
\(75\) 0.145228 0.0138676i 0.0167695 0.00160130i
\(76\) −1.93249 + 2.23021i −0.221672 + 0.255823i
\(77\) 7.73446 10.8944i 0.881423 1.24154i
\(78\) −3.90718 + 1.14725i −0.442401 + 0.129901i
\(79\) −2.05452 + 5.93616i −0.231152 + 0.667870i 0.768457 + 0.639902i \(0.221025\pi\)
−0.999609 + 0.0279682i \(0.991096\pi\)
\(80\) 0.107937 + 2.26589i 0.0120678 + 0.253334i
\(81\) 0.0475819 + 0.998867i 0.00528688 + 0.110985i
\(82\) −3.31372 + 9.57436i −0.365939 + 1.05731i
\(83\) −3.31282 + 0.972731i −0.363629 + 0.106771i −0.458443 0.888724i \(-0.651593\pi\)
0.0948138 + 0.995495i \(0.469774\pi\)
\(84\) −1.10252 2.40509i −0.120295 0.262417i
\(85\) 7.25457 8.37222i 0.786868 0.908094i
\(86\) 9.57714 0.914506i 1.03273 0.0986137i
\(87\) 1.70256 1.62339i 0.182533 0.174045i
\(88\) 5.02703 + 0.480023i 0.535883 + 0.0511707i
\(89\) 3.92081 3.08336i 0.415605 0.326835i −0.388365 0.921506i \(-0.626960\pi\)
0.803969 + 0.594671i \(0.202718\pi\)
\(90\) −1.90835 1.22642i −0.201157 0.129276i
\(91\) 0.528010 + 10.7609i 0.0553505 + 1.12805i
\(92\) 2.53647 4.07018i 0.264445 0.424345i
\(93\) 1.96168 + 3.39773i 0.203417 + 0.352328i
\(94\) 9.55988 4.92846i 0.986026 0.508332i
\(95\) 6.21467 + 2.48798i 0.637612 + 0.255261i
\(96\) 0.580057 0.814576i 0.0592018 0.0831373i
\(97\) −5.98825 1.75831i −0.608015 0.178529i −0.0367903 0.999323i \(-0.511713\pi\)
−0.571225 + 0.820794i \(0.693532\pi\)
\(98\) −6.86969 + 1.34439i −0.693943 + 0.135804i
\(99\) −3.30698 + 3.81646i −0.332364 + 0.383569i
\(100\) 0.135439 0.0542215i 0.0135439 0.00542215i
\(101\) 3.02575 12.4723i 0.301074 1.24104i −0.597374 0.801962i \(-0.703789\pi\)
0.898448 0.439080i \(-0.144696\pi\)
\(102\) −4.79526 + 0.924211i −0.474802 + 0.0915105i
\(103\) −0.0871027 0.0449046i −0.00858248 0.00442458i 0.453930 0.891037i \(-0.350022\pi\)
−0.462512 + 0.886613i \(0.653052\pi\)
\(104\) −3.42569 + 2.20156i −0.335917 + 0.215880i
\(105\) −4.33776 + 4.14789i −0.423322 + 0.404793i
\(106\) 8.64347 2.53795i 0.839528 0.246508i
\(107\) −0.851613 + 0.340934i −0.0823285 + 0.0329594i −0.412461 0.910975i \(-0.635331\pi\)
0.330133 + 0.943935i \(0.392907\pi\)
\(108\) 0.327068 + 0.945001i 0.0314721 + 0.0909327i
\(109\) 0.301764 + 0.423768i 0.0289037 + 0.0405896i 0.828775 0.559582i \(-0.189038\pi\)
−0.799871 + 0.600172i \(0.795099\pi\)
\(110\) −2.70073 11.1326i −0.257504 1.06145i
\(111\) 3.94672 + 8.64210i 0.374606 + 0.820272i
\(112\) −1.73545 1.99705i −0.163985 0.188703i
\(113\) 6.18181 + 3.97281i 0.581536 + 0.373730i 0.798088 0.602541i \(-0.205845\pi\)
−0.216552 + 0.976271i \(0.569481\pi\)
\(114\) −1.47550 2.55563i −0.138193 0.239357i
\(115\) −10.6071 2.41758i −0.989118 0.225440i
\(116\) 1.17623 2.03729i 0.109210 0.189158i
\(117\) 0.193760 4.06751i 0.0179131 0.376042i
\(118\) −0.640060 4.45171i −0.0589223 0.409813i
\(119\) −0.596350 + 12.9068i −0.0546673 + 1.18316i
\(120\) −2.17657 0.639098i −0.198692 0.0583414i
\(121\) −14.4358 + 1.37845i −1.31235 + 0.125314i
\(122\) 0.287840 + 0.831660i 0.0260598 + 0.0752950i
\(123\) −7.96396 6.26293i −0.718087 0.564709i
\(124\) 2.83947 + 2.70743i 0.254992 + 0.243134i
\(125\) 7.21089 + 8.32181i 0.644962 + 0.744325i
\(126\) 2.63341 0.255256i 0.234603 0.0227400i
\(127\) −17.2150 + 11.0634i −1.52759 + 0.981721i −0.537193 + 0.843460i \(0.680515\pi\)
−0.990396 + 0.138262i \(0.955848\pi\)
\(128\) 0.327068 0.945001i 0.0289090 0.0835271i
\(129\) −2.26817 + 9.34951i −0.199701 + 0.823179i
\(130\) 7.26111 + 5.71020i 0.636842 + 0.500818i
\(131\) −20.0123 3.85705i −1.74848 0.336992i −0.788071 0.615584i \(-0.788920\pi\)
−0.960410 + 0.278592i \(0.910132\pi\)
\(132\) −2.09780 + 4.59355i −0.182590 + 0.399817i
\(133\) −7.48818 + 2.21035i −0.649308 + 0.191662i
\(134\) 0.823638 + 1.80352i 0.0711515 + 0.155800i
\(135\) 1.78313 1.40227i 0.153467 0.120688i
\(136\) −4.34064 + 2.23775i −0.372207 + 0.191886i
\(137\) −2.96540 + 5.13622i −0.253351 + 0.438817i −0.964446 0.264279i \(-0.914866\pi\)
0.711095 + 0.703095i \(0.248199\pi\)
\(138\) 3.01672 + 3.72819i 0.256801 + 0.317364i
\(139\) 4.74410 0.402390 0.201195 0.979551i \(-0.435518\pi\)
0.201195 + 0.979551i \(0.435518\pi\)
\(140\) −2.99346 + 5.20196i −0.252993 + 0.439646i
\(141\) 1.53067 + 10.6460i 0.128906 + 0.896558i
\(142\) 7.00554 9.83790i 0.587892 0.825578i
\(143\) 14.8827 14.1907i 1.24456 1.18668i
\(144\) 0.580057 + 0.814576i 0.0483381 + 0.0678813i
\(145\) −5.24002 1.00993i −0.435160 0.0838703i
\(146\) −1.22982 + 8.55362i −0.101781 + 0.707902i
\(147\) 0.976407 6.93157i 0.0805327 0.571706i
\(148\) 6.22161 + 7.18012i 0.511413 + 0.590202i
\(149\) 4.15968 + 2.14447i 0.340774 + 0.175681i 0.620116 0.784510i \(-0.287086\pi\)
−0.279341 + 0.960192i \(0.590116\pi\)
\(150\) 0.00694168 + 0.145724i 0.000566786 + 0.0118983i
\(151\) −16.0488 + 3.09315i −1.30603 + 0.251717i −0.794352 0.607458i \(-0.792189\pi\)
−0.511681 + 0.859175i \(0.670977\pi\)
\(152\) −2.13573 2.03642i −0.173231 0.165175i
\(153\) 0.694996 4.83380i 0.0561871 0.390790i
\(154\) 10.5141 + 8.24408i 0.847248 + 0.664327i
\(155\) 3.69718 8.09570i 0.296965 0.650262i
\(156\) −0.960040 3.95734i −0.0768647 0.316841i
\(157\) 9.59937 + 0.916629i 0.766113 + 0.0731549i 0.470793 0.882243i \(-0.343968\pi\)
0.295320 + 0.955398i \(0.404574\pi\)
\(158\) −5.83167 2.33465i −0.463943 0.185735i
\(159\) −0.428635 + 8.99817i −0.0339930 + 0.713601i
\(160\) −2.26846 −0.179337
\(161\) 11.4598 5.44740i 0.903155 0.429315i
\(162\) −1.00000 −0.0785674
\(163\) −0.716618 + 15.0437i −0.0561298 + 1.17831i 0.778553 + 0.627579i \(0.215954\pi\)
−0.834683 + 0.550731i \(0.814349\pi\)
\(164\) −9.40584 3.76553i −0.734473 0.294039i
\(165\) 11.4036 + 1.08891i 0.887769 + 0.0847717i
\(166\) −0.813999 3.35535i −0.0631786 0.260426i
\(167\) −9.65916 + 21.1506i −0.747448 + 1.63668i 0.0234510 + 0.999725i \(0.492535\pi\)
−0.770899 + 0.636958i \(0.780193\pi\)
\(168\) 2.45482 0.986834i 0.189394 0.0761359i
\(169\) −0.509801 + 3.54575i −0.0392155 + 0.272750i
\(170\) 8.01755 + 7.64471i 0.614918 + 0.586323i
\(171\) 2.89766 0.558479i 0.221590 0.0427080i
\(172\) 0.457771 + 9.60981i 0.0349047 + 0.732741i
\(173\) 3.23838 + 1.66950i 0.246210 + 0.126930i 0.576915 0.816804i \(-0.304256\pi\)
−0.330705 + 0.943734i \(0.607287\pi\)
\(174\) 1.54054 + 1.77787i 0.116788 + 0.134780i
\(175\) 0.379115 + 0.0725069i 0.0286584 + 0.00548101i
\(176\) −0.718676 + 4.99850i −0.0541722 + 0.376776i
\(177\) 4.41622 + 0.851156i 0.331943 + 0.0639768i
\(178\) 2.89330 + 4.06308i 0.216862 + 0.304540i
\(179\) −2.92647 + 2.79039i −0.218735 + 0.208563i −0.791522 0.611141i \(-0.790711\pi\)
0.572787 + 0.819704i \(0.305862\pi\)
\(180\) 1.31583 1.84783i 0.0980764 0.137729i
\(181\) −1.64650 11.4517i −0.122383 0.851195i −0.954843 0.297110i \(-0.903977\pi\)
0.832460 0.554085i \(-0.186932\pi\)
\(182\) −10.7738 + 0.0153886i −0.798609 + 0.00114068i
\(183\) −0.880063 −0.0650561
\(184\) 3.94488 + 2.72726i 0.290820 + 0.201056i
\(185\) 10.7759 18.6644i 0.792260 1.37224i
\(186\) −3.48722 + 1.79779i −0.255696 + 0.131820i
\(187\) 19.3850 15.2446i 1.41757 1.11479i
\(188\) 4.46800 + 9.78356i 0.325862 + 0.713539i
\(189\) −0.620086 + 2.57206i −0.0451046 + 0.187090i
\(190\) −2.78087 + 6.08925i −0.201745 + 0.441761i
\(191\) 0.920571 + 0.177426i 0.0666102 + 0.0128381i 0.222447 0.974945i \(-0.428595\pi\)
−0.155837 + 0.987783i \(0.549808\pi\)
\(192\) 0.786053 + 0.618159i 0.0567285 + 0.0446118i
\(193\) −2.66848 + 10.9996i −0.192081 + 0.791770i 0.791480 + 0.611195i \(0.209311\pi\)
−0.983561 + 0.180575i \(0.942204\pi\)
\(194\) 2.04125 5.89781i 0.146553 0.423438i
\(195\) −7.77102 + 4.99413i −0.556495 + 0.357637i
\(196\) −1.01599 6.92588i −0.0725709 0.494705i
\(197\) −1.67022 1.92754i −0.118999 0.137332i 0.693124 0.720818i \(-0.256234\pi\)
−0.812123 + 0.583486i \(0.801688\pi\)
\(198\) −3.65478 3.48483i −0.259734 0.247656i
\(199\) 15.3037 + 12.0350i 1.08485 + 0.853138i 0.989818 0.142336i \(-0.0454614\pi\)
0.0950346 + 0.995474i \(0.469704\pi\)
\(200\) 0.0477156 + 0.137865i 0.00337400 + 0.00974855i
\(201\) −1.97371 + 0.188466i −0.139215 + 0.0132934i
\(202\) 12.3142 + 3.61578i 0.866426 + 0.254406i
\(203\) 5.52806 2.85992i 0.387994 0.200727i
\(204\) −0.694996 4.83380i −0.0486595 0.338434i
\(205\) −1.09358 + 22.9570i −0.0763788 + 1.60339i
\(206\) 0.0489982 0.0848674i 0.00341387 0.00591299i
\(207\) −4.50981 + 1.63144i −0.313454 + 0.113393i
\(208\) −2.03606 3.52656i −0.141176 0.244523i
\(209\) 12.5365 + 8.05674i 0.867171 + 0.557297i
\(210\) −3.93680 4.53022i −0.271665 0.312615i
\(211\) −4.15356 9.09503i −0.285943 0.626128i 0.711090 0.703101i \(-0.248202\pi\)
−0.997033 + 0.0769731i \(0.975474\pi\)
\(212\) 2.12380 + 8.75444i 0.145863 + 0.601257i
\(213\) 7.00554 + 9.83790i 0.480011 + 0.674082i
\(214\) −0.300027 0.866870i −0.0205094 0.0592580i
\(215\) 20.2608 8.11121i 1.38178 0.553180i
\(216\) −0.959493 + 0.281733i −0.0652852 + 0.0191695i
\(217\) 2.46164 + 10.0841i 0.167107 + 0.684555i
\(218\) −0.437647 + 0.281258i −0.0296412 + 0.0190492i
\(219\) −7.68094 3.95980i −0.519030 0.267578i
\(220\) 11.2485 2.16796i 0.758371 0.146164i
\(221\) −4.68837 + 19.3257i −0.315374 + 1.29999i
\(222\) −8.82010 + 3.53104i −0.591967 + 0.236988i
\(223\) −15.5808 + 17.9812i −1.04337 + 1.20411i −0.0648635 + 0.997894i \(0.520661\pi\)
−0.978506 + 0.206218i \(0.933884\pi\)
\(224\) 2.07736 1.63846i 0.138800 0.109474i
\(225\) −0.139980 0.0411017i −0.00933197 0.00274011i
\(226\) −4.26245 + 5.98577i −0.283534 + 0.398168i
\(227\) 4.20166 + 1.68209i 0.278874 + 0.111644i 0.506883 0.862015i \(-0.330797\pi\)
−0.228009 + 0.973659i \(0.573222\pi\)
\(228\) 2.62295 1.35222i 0.173709 0.0895531i
\(229\) −7.23332 12.5285i −0.477991 0.827905i 0.521690 0.853135i \(-0.325302\pi\)
−0.999682 + 0.0252295i \(0.991968\pi\)
\(230\) 2.91955 10.4801i 0.192509 0.691035i
\(231\) −11.2295 + 7.23943i −0.738845 + 0.476319i
\(232\) 1.97902 + 1.27184i 0.129929 + 0.0835003i
\(233\) −23.4323 + 18.4273i −1.53510 + 1.20721i −0.634212 + 0.773160i \(0.718675\pi\)
−0.900886 + 0.434055i \(0.857082\pi\)
\(234\) 4.05369 + 0.387080i 0.264998 + 0.0253042i
\(235\) 17.6579 16.8368i 1.15188 1.09831i
\(236\) 4.47713 0.427514i 0.291436 0.0278288i
\(237\) 4.11360 4.74735i 0.267207 0.308373i
\(238\) −12.8638 1.20980i −0.833836 0.0784200i
\(239\) 12.1978 3.58160i 0.789010 0.231674i 0.137688 0.990476i \(-0.456033\pi\)
0.651322 + 0.758801i \(0.274215\pi\)
\(240\) 0.741939 2.14369i 0.0478920 0.138375i
\(241\) 0.0473625 + 0.994261i 0.00305089 + 0.0640460i 0.999879 0.0155345i \(-0.00494497\pi\)
−0.996828 + 0.0795805i \(0.974642\pi\)
\(242\) −0.690008 14.4851i −0.0443554 0.931135i
\(243\) 0.327068 0.945001i 0.0209814 0.0606218i
\(244\) −0.844414 + 0.247942i −0.0540581 + 0.0158729i
\(245\) −14.0931 + 7.31655i −0.900378 + 0.467437i
\(246\) 6.63478 7.65694i 0.423018 0.488189i
\(247\) −11.9624 + 1.14227i −0.761149 + 0.0726809i
\(248\) −2.83947 + 2.70743i −0.180307 + 0.171922i
\(249\) 3.43704 + 0.328198i 0.217814 + 0.0207987i
\(250\) −8.65549 + 6.80675i −0.547421 + 0.430497i
\(251\) −21.3384 13.7134i −1.34687 0.865581i −0.349421 0.936966i \(-0.613622\pi\)
−0.997449 + 0.0713847i \(0.977258\pi\)
\(252\) 0.129665 + 2.64257i 0.00816810 + 0.166466i
\(253\) −22.1677 9.75339i −1.39367 0.613190i
\(254\) −10.2318 17.7220i −0.641999 1.11198i
\(255\) −9.84654 + 5.07625i −0.616615 + 0.317887i
\(256\) 0.928368 + 0.371662i 0.0580230 + 0.0232289i
\(257\) −10.2800 + 14.4362i −0.641248 + 0.900507i −0.999451 0.0331367i \(-0.989450\pi\)
0.358203 + 0.933644i \(0.383390\pi\)
\(258\) −9.23100 2.71047i −0.574697 0.168746i
\(259\) 3.61281 + 24.8754i 0.224489 + 1.54568i
\(260\) −6.04923 + 6.98119i −0.375158 + 0.432955i
\(261\) −2.18395 + 0.874323i −0.135183 + 0.0541192i
\(262\) 4.80490 19.8061i 0.296848 1.22362i
\(263\) −1.19957 + 0.231199i −0.0739689 + 0.0142563i −0.226101 0.974104i \(-0.572598\pi\)
0.152132 + 0.988360i \(0.451386\pi\)
\(264\) −4.48853 2.31400i −0.276250 0.142417i
\(265\) 17.1911 11.0480i 1.05604 0.678676i
\(266\) −1.85154 7.58487i −0.113526 0.465058i
\(267\) −4.78592 + 1.40527i −0.292893 + 0.0860013i
\(268\) −1.84066 + 0.736890i −0.112436 + 0.0450127i
\(269\) −5.29876 15.3098i −0.323071 0.933453i −0.983237 0.182333i \(-0.941635\pi\)
0.660165 0.751120i \(-0.270486\pi\)
\(270\) 1.31583 + 1.84783i 0.0800791 + 0.112455i
\(271\) 3.42032 + 14.0987i 0.207769 + 0.856437i 0.976264 + 0.216582i \(0.0694908\pi\)
−0.768495 + 0.639856i \(0.778994\pi\)
\(272\) −2.02868 4.44220i −0.123007 0.269348i
\(273\) 3.50923 10.1863i 0.212388 0.616503i
\(274\) −4.98930 3.20643i −0.301415 0.193707i
\(275\) −0.368362 0.638022i −0.0222131 0.0384742i
\(276\) −3.86751 + 2.83591i −0.232797 + 0.170702i
\(277\) −0.881418 + 1.52666i −0.0529593 + 0.0917281i −0.891290 0.453434i \(-0.850199\pi\)
0.838330 + 0.545162i \(0.183532\pi\)
\(278\) −0.225734 + 4.73873i −0.0135386 + 0.284210i
\(279\) −0.558352 3.88343i −0.0334277 0.232495i
\(280\) −5.05364 3.23759i −0.302013 0.193483i
\(281\) −3.24954 0.954150i −0.193851 0.0569198i 0.183366 0.983045i \(-0.441301\pi\)
−0.377217 + 0.926125i \(0.623119\pi\)
\(282\) −10.7068 + 1.02238i −0.637581 + 0.0608816i
\(283\) 5.03925 + 14.5599i 0.299552 + 0.865499i 0.989868 + 0.141991i \(0.0453503\pi\)
−0.690316 + 0.723508i \(0.742528\pi\)
\(284\) 9.49342 + 7.46571i 0.563331 + 0.443008i
\(285\) −4.84482 4.61952i −0.286982 0.273637i
\(286\) 13.4664 + 15.5411i 0.796287 + 0.918965i
\(287\) −15.5800 21.8130i −0.919657 1.28758i
\(288\) −0.841254 + 0.540641i −0.0495713 + 0.0318576i
\(289\) −2.23999 + 6.47202i −0.131764 + 0.380707i
\(290\) 1.25812 5.18603i 0.0738793 0.304534i
\(291\) 4.90580 + 3.85797i 0.287583 + 0.226158i
\(292\) −8.48541 1.63543i −0.496571 0.0957062i
\(293\) −3.61576 + 7.91741i −0.211235 + 0.462540i −0.985359 0.170494i \(-0.945464\pi\)
0.774124 + 0.633034i \(0.218191\pi\)
\(294\) 6.87726 + 1.30512i 0.401090 + 0.0761160i
\(295\) −4.23821 9.28039i −0.246758 0.540325i
\(296\) −7.46802 + 5.87292i −0.434070 + 0.341356i
\(297\) 4.48853 2.31400i 0.260451 0.134272i
\(298\) −2.33996 + 4.05293i −0.135550 + 0.234780i
\(299\) 18.9129 4.86767i 1.09376 0.281505i
\(300\) −0.145889 −0.00842291
\(301\) −12.6955 + 22.0620i −0.731756 + 1.27163i
\(302\) −2.32602 16.1778i −0.133847 0.930928i
\(303\) −7.44451 + 10.4543i −0.427676 + 0.600586i
\(304\) 2.13573 2.03642i 0.122493 0.116797i
\(305\) 1.15802 + 1.62621i 0.0663078 + 0.0931163i
\(306\) 4.79526 + 0.924211i 0.274127 + 0.0528336i
\(307\) 4.03858 28.0889i 0.230494 1.60312i −0.465484 0.885056i \(-0.654120\pi\)
0.695978 0.718063i \(-0.254971\pi\)
\(308\) −8.73502 + 10.1099i −0.497724 + 0.576064i
\(309\) 0.0641740 + 0.0740608i 0.00365073 + 0.00421317i
\(310\) 7.91061 + 4.07820i 0.449292 + 0.231626i
\(311\) −1.40952 29.5895i −0.0799267 1.67787i −0.582113 0.813108i \(-0.697774\pi\)
0.502186 0.864759i \(-0.332529\pi\)
\(312\) 3.99854 0.770655i 0.226373 0.0436297i
\(313\) 1.84957 + 1.76356i 0.104544 + 0.0996824i 0.740549 0.672003i \(-0.234566\pi\)
−0.636005 + 0.771685i \(0.719414\pi\)
\(314\) −1.37235 + 9.54488i −0.0774460 + 0.538649i
\(315\) 5.56866 2.23859i 0.313758 0.126130i
\(316\) 2.60949 5.71398i 0.146795 0.321437i
\(317\) 5.97826 + 24.6427i 0.335773 + 1.38407i 0.850164 + 0.526519i \(0.176503\pi\)
−0.514391 + 0.857556i \(0.671982\pi\)
\(318\) −8.96758 0.856300i −0.502877 0.0480189i
\(319\) −11.0287 4.41524i −0.617491 0.247206i
\(320\) 0.107937 2.26589i 0.00603389 0.126667i
\(321\) 0.917322 0.0511999
\(322\) 4.89595 + 11.7060i 0.272841 + 0.652348i
\(323\) −14.4112 −0.801861
\(324\) 0.0475819 0.998867i 0.00264344 0.0554926i
\(325\) 0.551523 + 0.220797i 0.0305930 + 0.0122476i
\(326\) −14.9925 1.43161i −0.830359 0.0792897i
\(327\) −0.122649 0.505567i −0.00678252 0.0279579i
\(328\) 4.20881 9.21601i 0.232393 0.508869i
\(329\) −4.00953 + 28.1725i −0.221053 + 1.55320i
\(330\) −1.63028 + 11.3389i −0.0897441 + 0.624184i
\(331\) −10.9824 10.4717i −0.603648 0.575577i 0.325382 0.945583i \(-0.394507\pi\)
−0.929029 + 0.370006i \(0.879356\pi\)
\(332\) 3.39028 0.653423i 0.186066 0.0358613i
\(333\) −0.452059 9.48990i −0.0247727 0.520043i
\(334\) −20.6670 10.6546i −1.13085 0.582994i
\(335\) 2.94532 + 3.39909i 0.160920 + 0.185712i
\(336\) 0.868911 + 2.49900i 0.0474030 + 0.136332i
\(337\) 3.69569 25.7041i 0.201317 1.40019i −0.599065 0.800701i \(-0.704461\pi\)
0.800382 0.599490i \(-0.204630\pi\)
\(338\) −3.51747 0.677937i −0.191325 0.0368749i
\(339\) −4.26245 5.98577i −0.231505 0.325103i
\(340\) −8.01755 + 7.64471i −0.434812 + 0.414593i
\(341\) 11.4924 16.1388i 0.622350 0.873968i
\(342\) 0.419970 + 2.92096i 0.0227094 + 0.157947i
\(343\) 7.62134 16.8794i 0.411513 0.911404i
\(344\) −9.62070 −0.518714
\(345\) 8.94878 + 6.18667i 0.481786 + 0.333079i
\(346\) −1.82170 + 3.15528i −0.0979352 + 0.169629i
\(347\) 17.7513 9.15143i 0.952940 0.491275i 0.0896444 0.995974i \(-0.471427\pi\)
0.863295 + 0.504699i \(0.168397\pi\)
\(348\) −1.84916 + 1.45420i −0.0991255 + 0.0779532i
\(349\) −10.2426 22.4282i −0.548273 1.20055i −0.957583 0.288156i \(-0.906958\pi\)
0.409310 0.912395i \(-0.365769\pi\)
\(350\) −0.0904638 + 0.375235i −0.00483549 + 0.0200572i
\(351\) −1.69162 + 3.70414i −0.0902921 + 0.197712i
\(352\) −4.95864 0.955700i −0.264296 0.0509390i
\(353\) 14.2157 + 11.1794i 0.756627 + 0.595018i 0.920170 0.391518i \(-0.128050\pi\)
−0.163543 + 0.986536i \(0.552292\pi\)
\(354\) −1.06032 + 4.37071i −0.0563556 + 0.232301i
\(355\) 8.96064 25.8901i 0.475581 1.37410i
\(356\) −4.19614 + 2.69670i −0.222395 + 0.142925i
\(357\) 5.35060 11.7606i 0.283184 0.622437i
\(358\) −2.64798 3.05593i −0.139950 0.161511i
\(359\) 25.5886 + 24.3987i 1.35052 + 1.28771i 0.923566 + 0.383440i \(0.125261\pi\)
0.426950 + 0.904275i \(0.359588\pi\)
\(360\) 1.78313 + 1.40227i 0.0939790 + 0.0739059i
\(361\) 3.36607 + 9.72561i 0.177161 + 0.511874i
\(362\) 11.5170 1.09974i 0.605321 0.0578012i
\(363\) 13.9141 + 4.08554i 0.730299 + 0.214435i
\(364\) 0.497268 10.7624i 0.0260639 0.564100i
\(365\) 2.78980 + 19.4035i 0.146025 + 1.01563i
\(366\) 0.0418751 0.879066i 0.00218885 0.0459495i
\(367\) 13.9950 24.2401i 0.730535 1.26532i −0.226120 0.974099i \(-0.572604\pi\)
0.956655 0.291224i \(-0.0940625\pi\)
\(368\) −2.91188 + 3.81064i −0.151792 + 0.198643i
\(369\) 5.06579 + 8.77421i 0.263715 + 0.456767i
\(370\) 18.1305 + 11.6518i 0.942562 + 0.605748i
\(371\) −7.76313 + 22.5342i −0.403042 + 1.16992i
\(372\) −1.62982 3.56881i −0.0845024 0.185034i
\(373\) 1.10326 + 4.54768i 0.0571244 + 0.235470i 0.993216 0.116287i \(-0.0370994\pi\)
−0.936091 + 0.351757i \(0.885584\pi\)
\(374\) 14.3049 + 20.0885i 0.739690 + 1.03875i
\(375\) −3.60145 10.4057i −0.185978 0.537349i
\(376\) −9.98507 + 3.99742i −0.514941 + 0.206151i
\(377\) 9.19149 2.69887i 0.473386 0.138999i
\(378\) −2.53964 0.741768i −0.130625 0.0381524i
\(379\) −9.23759 + 5.93664i −0.474503 + 0.304945i −0.755947 0.654633i \(-0.772823\pi\)
0.281444 + 0.959578i \(0.409187\pi\)
\(380\) −5.95004 3.06746i −0.305230 0.157357i
\(381\) 20.0938 3.87276i 1.02943 0.198407i
\(382\) −0.221027 + 0.911086i −0.0113087 + 0.0466152i
\(383\) 32.2713 12.9195i 1.64899 0.660154i 0.653665 0.756784i \(-0.273231\pi\)
0.995320 + 0.0966299i \(0.0308063\pi\)
\(384\) −0.654861 + 0.755750i −0.0334182 + 0.0385667i
\(385\) 28.1533 + 11.2243i 1.43483 + 0.572042i
\(386\) −10.8602 3.18884i −0.552769 0.162308i
\(387\) 5.58056 7.83679i 0.283676 0.398367i
\(388\) 5.79400 + 2.31957i 0.294146 + 0.117758i
\(389\) −18.8631 + 9.72461i −0.956398 + 0.493057i −0.864457 0.502707i \(-0.832337\pi\)
−0.0919408 + 0.995764i \(0.529307\pi\)
\(390\) −4.61872 7.99985i −0.233878 0.405088i
\(391\) 23.1335 3.65514i 1.16991 0.184848i
\(392\) 6.96637 0.685296i 0.351855 0.0346127i
\(393\) 17.1452 + 11.0186i 0.864863 + 0.555814i
\(394\) 2.00483 1.57662i 0.101002 0.0794288i
\(395\) −14.1851 1.35451i −0.713730 0.0681529i
\(396\) 3.65478 3.48483i 0.183660 0.175119i
\(397\) −23.6256 + 2.25597i −1.18574 + 0.113224i −0.669227 0.743058i \(-0.733375\pi\)
−0.516509 + 0.856282i \(0.672769\pi\)
\(398\) −12.7495 + 14.7138i −0.639077 + 0.737534i
\(399\) 7.77329 + 0.731057i 0.389151 + 0.0365986i
\(400\) −0.139980 + 0.0411017i −0.00699898 + 0.00205508i
\(401\) 5.93234 17.1404i 0.296247 0.855950i −0.694411 0.719579i \(-0.744335\pi\)
0.990658 0.136371i \(-0.0435439\pi\)
\(402\) −0.0943400 1.98044i −0.00470525 0.0987754i
\(403\) 0.760189 + 15.9583i 0.0378677 + 0.794941i
\(404\) −4.19762 + 12.1282i −0.208839 + 0.603402i
\(405\) −2.17657 + 0.639098i −0.108154 + 0.0317570i
\(406\) 2.59364 + 5.65788i 0.128720 + 0.280796i
\(407\) 31.4185 36.2589i 1.55736 1.79729i
\(408\) 4.86140 0.464207i 0.240675 0.0229817i
\(409\) 22.9175 21.8518i 1.13320 1.08050i 0.137251 0.990536i \(-0.456173\pi\)
0.995945 0.0899639i \(-0.0286752\pi\)
\(410\) −22.8790 2.18468i −1.12991 0.107894i
\(411\) 4.66192 3.66617i 0.229955 0.180839i
\(412\) 0.0824398 + 0.0529809i 0.00406152 + 0.00261018i
\(413\) 10.5842 + 5.43744i 0.520817 + 0.267559i
\(414\) −1.41500 4.58233i −0.0695436 0.225209i
\(415\) −3.91612 6.78292i −0.192235 0.332960i
\(416\) 3.61945 1.86596i 0.177458 0.0914860i
\(417\) −4.40427 1.76321i −0.215678 0.0863445i
\(418\) −8.64413 + 12.1390i −0.422798 + 0.593737i
\(419\) −29.1835 8.56905i −1.42571 0.418625i −0.524276 0.851548i \(-0.675664\pi\)
−0.901431 + 0.432923i \(0.857482\pi\)
\(420\) 4.71240 3.71678i 0.229942 0.181360i
\(421\) 15.2138 17.5577i 0.741476 0.855708i −0.252237 0.967665i \(-0.581166\pi\)
0.993713 + 0.111957i \(0.0357119\pi\)
\(422\) 9.28236 3.71610i 0.451858 0.180897i
\(423\) 2.53571 10.4523i 0.123290 0.508210i
\(424\) −8.84558 + 1.70485i −0.429579 + 0.0827946i
\(425\) 0.633252 + 0.326464i 0.0307172 + 0.0158358i
\(426\) −10.1601 + 6.52950i −0.492258 + 0.316355i
\(427\) −2.23504 0.652802i −0.108161 0.0315913i
\(428\) 0.880164 0.258440i 0.0425443 0.0124921i
\(429\) −19.0908 + 7.64280i −0.921712 + 0.368998i
\(430\) 7.13798 + 20.6238i 0.344224 + 0.994569i
\(431\) 5.16534 + 7.25371i 0.248806 + 0.349399i 0.920025 0.391860i \(-0.128168\pi\)
−0.671219 + 0.741259i \(0.734229\pi\)
\(432\) −0.235759 0.971812i −0.0113430 0.0467563i
\(433\) −8.13419 17.8114i −0.390904 0.855961i −0.998112 0.0614181i \(-0.980438\pi\)
0.607208 0.794543i \(-0.292290\pi\)
\(434\) −10.1898 + 1.97903i −0.489128 + 0.0949964i
\(435\) 4.48932 + 2.88511i 0.215246 + 0.138330i
\(436\) −0.260116 0.450534i −0.0124573 0.0215767i
\(437\) 6.65934 + 12.4878i 0.318559 + 0.597373i
\(438\) 4.32079 7.48382i 0.206455 0.357591i
\(439\) −0.783957 + 16.4573i −0.0374162 + 0.785464i 0.899713 + 0.436482i \(0.143776\pi\)
−0.937129 + 0.348982i \(0.886527\pi\)
\(440\) 1.63028 + 11.3389i 0.0777207 + 0.540559i
\(441\) −3.48267 + 6.07215i −0.165841 + 0.289150i
\(442\) −19.0807 5.60261i −0.907578 0.266489i
\(443\) −4.85445 + 0.463543i −0.230642 + 0.0220236i −0.209737 0.977758i \(-0.567261\pi\)
−0.0209048 + 0.999781i \(0.506655\pi\)
\(444\) −3.10736 8.97813i −0.147469 0.426083i
\(445\) 8.89417 + 6.99445i 0.421624 + 0.331569i
\(446\) −17.2195 16.4188i −0.815367 0.777451i
\(447\) −3.06470 3.53685i −0.144955 0.167287i
\(448\) 1.53776 + 2.15297i 0.0726525 + 0.101718i
\(449\) −13.9059 + 8.93681i −0.656262 + 0.421754i −0.825950 0.563744i \(-0.809360\pi\)
0.169688 + 0.985498i \(0.445724\pi\)
\(450\) 0.0477156 0.137865i 0.00224934 0.00649903i
\(451\) −12.0622 + 49.7213i −0.567989 + 2.34128i
\(452\) −5.77618 4.54244i −0.271689 0.213658i
\(453\) 16.0488 + 3.09315i 0.754039 + 0.145329i
\(454\) −1.88011 + 4.11687i −0.0882379 + 0.193214i
\(455\) −23.4401 + 6.91902i −1.09889 + 0.324369i
\(456\) 1.22589 + 2.68432i 0.0574074 + 0.125705i
\(457\) 15.4162 12.1234i 0.721140 0.567111i −0.188718 0.982031i \(-0.560433\pi\)
0.909858 + 0.414921i \(0.136191\pi\)
\(458\) 12.8585 6.62900i 0.600837 0.309753i
\(459\) −2.44176 + 4.22925i −0.113971 + 0.197404i
\(460\) 10.3293 + 3.41490i 0.481605 + 0.159221i
\(461\) 3.59846 0.167597 0.0837985 0.996483i \(-0.473295\pi\)
0.0837985 + 0.996483i \(0.473295\pi\)
\(462\) −6.69691 11.5612i −0.311568 0.537877i
\(463\) −2.94602 20.4900i −0.136913 0.952252i −0.936241 0.351357i \(-0.885720\pi\)
0.799328 0.600895i \(-0.205189\pi\)
\(464\) −1.36456 + 1.91626i −0.0633483 + 0.0889602i
\(465\) −6.44121 + 6.14168i −0.298704 + 0.284814i
\(466\) −17.2915 24.2825i −0.801013 1.12487i
\(467\) −17.5655 3.38548i −0.812836 0.156661i −0.234138 0.972203i \(-0.575227\pi\)
−0.578698 + 0.815542i \(0.696439\pi\)
\(468\) −0.579524 + 4.03068i −0.0267885 + 0.186318i
\(469\) −5.15231 0.985396i −0.237912 0.0455014i
\(470\) 15.9775 + 18.4391i 0.736989 + 0.850531i
\(471\) −8.57107 4.41869i −0.394934 0.203603i
\(472\) 0.213999 + 4.49240i 0.00985011 + 0.206779i
\(473\) 47.7056 9.19450i 2.19351 0.422764i
\(474\) 4.54624 + 4.33483i 0.208816 + 0.199105i
\(475\) −0.0612690 + 0.426135i −0.00281122 + 0.0195524i
\(476\) 1.82052 12.7917i 0.0834433 0.586305i
\(477\) 3.74221 8.19430i 0.171344 0.375191i
\(478\) 2.99715 + 12.3544i 0.137086 + 0.565077i
\(479\) −10.4438 0.997260i −0.477188 0.0455660i −0.146309 0.989239i \(-0.546739\pi\)
−0.330880 + 0.943673i \(0.607345\pi\)
\(480\) 2.10596 + 0.843100i 0.0961235 + 0.0384821i
\(481\) −1.84084 + 38.6440i −0.0839352 + 1.76202i
\(482\) −0.995389 −0.0453387
\(483\) −12.6635 + 0.798028i −0.576207 + 0.0363115i
\(484\) 14.5015 0.659158
\(485\) 0.673644 14.1415i 0.0305886 0.642134i
\(486\) 0.928368 + 0.371662i 0.0421116 + 0.0168590i
\(487\) 30.5958 + 2.92154i 1.38643 + 0.132388i 0.761434 0.648243i \(-0.224496\pi\)
0.624993 + 0.780631i \(0.285102\pi\)
\(488\) −0.207483 0.855255i −0.00939230 0.0387156i
\(489\) 6.25645 13.6997i 0.282926 0.619522i
\(490\) −6.63769 14.4253i −0.299860 0.651669i
\(491\) 3.95130 27.4819i 0.178320 1.24024i −0.682331 0.731044i \(-0.739034\pi\)
0.860650 0.509196i \(-0.170057\pi\)
\(492\) 7.33257 + 6.99160i 0.330578 + 0.315205i
\(493\) 11.2807 2.17417i 0.508056 0.0979198i
\(494\) −0.571783 12.0032i −0.0257257 0.540050i
\(495\) −10.1820 5.24920i −0.457648 0.235934i
\(496\) −2.56925 2.96508i −0.115363 0.133136i
\(497\) 10.4941 + 30.1812i 0.470726 + 1.35381i
\(498\) −0.491367 + 3.41753i −0.0220187 + 0.153143i
\(499\) 35.3601 + 6.81509i 1.58293 + 0.305086i 0.903479 0.428632i \(-0.141004\pi\)
0.679455 + 0.733717i \(0.262216\pi\)
\(500\) −6.38720 8.96957i −0.285644 0.401131i
\(501\) 16.8281 16.0456i 0.751826 0.716864i
\(502\) 14.7132 20.6618i 0.656681 0.922179i
\(503\) −2.71866 18.9087i −0.121219 0.843097i −0.956178 0.292785i \(-0.905418\pi\)
0.834959 0.550312i \(-0.185491\pi\)
\(504\) −2.64575 + 0.00377900i −0.117851 + 0.000168330i
\(505\) 29.1136 1.29554
\(506\) 10.7971 21.6785i 0.479991 0.963726i
\(507\) 1.79110 3.10228i 0.0795457 0.137777i
\(508\) 18.1887 9.37695i 0.806995 0.416035i
\(509\) 10.1075 7.94866i 0.448009 0.352318i −0.368523 0.929619i \(-0.620136\pi\)
0.816532 + 0.577301i \(0.195894\pi\)
\(510\) −4.60198 10.0769i −0.203779 0.446214i
\(511\) −16.5696 15.7539i −0.732995 0.696913i
\(512\) −0.415415 + 0.909632i −0.0183589 + 0.0402004i
\(513\) −2.89766 0.558479i −0.127935 0.0246574i
\(514\) −13.9307 10.9553i −0.614458 0.483215i
\(515\) 0.0524093 0.216034i 0.00230943 0.00951960i
\(516\) 3.14662 9.09157i 0.138522 0.400234i
\(517\) 45.6920 29.3645i 2.00953 1.29145i
\(518\) −25.0191 + 2.42510i −1.09928 + 0.106553i
\(519\) −2.38592 2.75350i −0.104730 0.120865i
\(520\) −6.68545 6.37456i −0.293176 0.279543i
\(521\) −11.4142 8.97625i −0.500067 0.393257i 0.336019 0.941855i \(-0.390919\pi\)
−0.836086 + 0.548598i \(0.815162\pi\)
\(522\) −0.769416 2.22308i −0.0336764 0.0973016i
\(523\) −19.2889 + 1.84187i −0.843446 + 0.0805393i −0.507827 0.861459i \(-0.669551\pi\)
−0.335618 + 0.941998i \(0.608945\pi\)
\(524\) 19.5550 + 5.74187i 0.854265 + 0.250835i
\(525\) −0.325010 0.208216i −0.0141846 0.00908728i
\(526\) −0.173859 1.20922i −0.00758062 0.0527243i
\(527\) −0.911659 + 19.1381i −0.0397125 + 0.833668i
\(528\) 2.52495 4.37334i 0.109884 0.190325i
\(529\) −13.8572 18.3570i −0.602486 0.798130i
\(530\) 10.2175 + 17.6973i 0.443822 + 0.768722i
\(531\) −3.78353 2.43153i −0.164191 0.105519i
\(532\) 7.66438 1.48855i 0.332293 0.0645366i
\(533\) −17.1388 37.5288i −0.742365 1.62555i
\(534\) −1.17596 4.84736i −0.0508887 0.209766i
\(535\) −1.20704 1.69505i −0.0521850 0.0732836i
\(536\) −0.648473 1.87364i −0.0280098 0.0809289i
\(537\) 3.75393 1.50285i 0.161994 0.0648526i
\(538\) 15.5446 4.56429i 0.670174 0.196781i
\(539\) −33.8888 + 10.0559i −1.45969 + 0.433138i
\(540\) −1.90835 + 1.22642i −0.0821221 + 0.0527767i
\(541\) −34.3293 17.6980i −1.47593 0.760897i −0.482564 0.875861i \(-0.660294\pi\)
−0.993370 + 0.114964i \(0.963325\pi\)
\(542\) −14.2455 + 2.74560i −0.611897 + 0.117934i
\(543\) −2.72759 + 11.2433i −0.117052 + 0.482496i
\(544\) 4.53370 1.81502i 0.194381 0.0778183i
\(545\) −0.772816 + 0.891877i −0.0331038 + 0.0382038i
\(546\) 10.0078 + 3.98994i 0.428294 + 0.170754i
\(547\) 2.29172 + 0.672910i 0.0979869 + 0.0287715i 0.330358 0.943856i \(-0.392830\pi\)
−0.232372 + 0.972627i \(0.574649\pi\)
\(548\) 3.44020 4.83108i 0.146958 0.206373i
\(549\) 0.817022 + 0.327086i 0.0348697 + 0.0139597i
\(550\) 0.654827 0.337587i 0.0279219 0.0143948i
\(551\) 3.47105 + 6.01204i 0.147872 + 0.256121i
\(552\) −2.64868 3.99806i −0.112735 0.170169i
\(553\) 13.9685 9.00523i 0.594001 0.382941i
\(554\) −1.48299 0.953061i −0.0630063 0.0404917i
\(555\) −16.9409 + 13.3224i −0.719100 + 0.565506i
\(556\) −4.72262 0.450956i −0.200284 0.0191248i
\(557\) 1.29696 1.23665i 0.0549539 0.0523985i −0.662105 0.749411i \(-0.730337\pi\)
0.717058 + 0.697013i \(0.245488\pi\)
\(558\) 3.90560 0.372939i 0.165337 0.0157878i
\(559\) −25.6553 + 29.6078i −1.08510 + 1.25228i
\(560\) 3.47438 4.89386i 0.146819 0.206803i
\(561\) −23.6623 + 6.94787i −0.999023 + 0.293340i
\(562\) 1.10769 3.20046i 0.0467250 0.135003i
\(563\) 1.40138 + 29.4185i 0.0590610 + 1.23984i 0.812751 + 0.582612i \(0.197969\pi\)
−0.753690 + 0.657230i \(0.771728\pi\)
\(564\) −0.511768 10.7433i −0.0215493 0.452376i
\(565\) −5.45201 + 15.7526i −0.229368 + 0.662715i
\(566\) −14.7832 + 4.34075i −0.621385 + 0.182455i
\(567\) 1.53161 2.15736i 0.0643214 0.0906004i
\(568\) −7.90897 + 9.12743i −0.331853 + 0.382979i
\(569\) 8.27899 0.790548i 0.347073 0.0331415i 0.0799361 0.996800i \(-0.474528\pi\)
0.267137 + 0.963659i \(0.413922\pi\)
\(570\) 4.84482 4.61952i 0.202927 0.193490i
\(571\) 35.7360 + 3.41237i 1.49550 + 0.142803i 0.810501 0.585738i \(-0.199195\pi\)
0.685002 + 0.728541i \(0.259801\pi\)
\(572\) −16.1643 + 12.7117i −0.675862 + 0.531503i
\(573\) −0.788686 0.506858i −0.0329478 0.0211743i
\(574\) 22.5296 14.5244i 0.940369 0.606238i
\(575\) −0.00972968 0.699592i −0.000405756 0.0291750i
\(576\) −0.500000 0.866025i −0.0208333 0.0360844i
\(577\) −22.4734 + 11.5859i −0.935582 + 0.482326i −0.857421 0.514615i \(-0.827935\pi\)
−0.0781602 + 0.996941i \(0.524905\pi\)
\(578\) −6.35810 2.54540i −0.264462 0.105875i
\(579\) 6.56548 9.21993i 0.272852 0.383167i
\(580\) 5.12030 + 1.50345i 0.212609 + 0.0624276i
\(581\) 8.48541 + 3.38299i 0.352034 + 0.140350i
\(582\) −4.08703 + 4.71668i −0.169413 + 0.195513i
\(583\) 42.2327 16.9074i 1.74910 0.700234i
\(584\) 2.03733 8.39798i 0.0843053 0.347511i
\(585\) 9.07050 1.74820i 0.375019 0.0722790i
\(586\) −7.73640 3.98839i −0.319588 0.164759i
\(587\) 13.9314 8.95320i 0.575012 0.369538i −0.220581 0.975369i \(-0.570795\pi\)
0.795594 + 0.605831i \(0.207159\pi\)
\(588\) −1.63087 + 6.80737i −0.0672561 + 0.280731i
\(589\) −11.1088 + 3.26185i −0.457731 + 0.134402i
\(590\) 9.47154 3.79183i 0.389937 0.156107i
\(591\) 0.834188 + 2.41023i 0.0343139 + 0.0991435i
\(592\) −5.51092 7.73901i −0.226497 0.318071i
\(593\) −2.63987 10.8817i −0.108407 0.446858i 0.891575 0.452872i \(-0.149601\pi\)
−0.999982 + 0.00601445i \(0.998086\pi\)
\(594\) 2.09780 + 4.59355i 0.0860739 + 0.188476i
\(595\) −28.7721 + 5.58800i −1.17954 + 0.229086i
\(596\) −3.93700 2.53016i −0.161266 0.103639i
\(597\) −9.73454 16.8607i −0.398408 0.690063i
\(598\) 3.96225 + 19.1231i 0.162028 + 0.782000i
\(599\) −20.5419 + 35.5795i −0.839318 + 1.45374i 0.0511486 + 0.998691i \(0.483712\pi\)
−0.890466 + 0.455050i \(0.849622\pi\)
\(600\) 0.00694168 0.145724i 0.000283393 0.00594915i
\(601\) 3.37122 + 23.4473i 0.137515 + 0.956437i 0.935391 + 0.353615i \(0.115048\pi\)
−0.797876 + 0.602821i \(0.794043\pi\)
\(602\) −21.4329 13.7309i −0.873539 0.559628i
\(603\) 1.90237 + 0.558587i 0.0774707 + 0.0227474i
\(604\) 16.2702 1.55361i 0.662023 0.0632156i
\(605\) −10.7592 31.0867i −0.437424 1.26385i
\(606\) −10.0883 7.93351i −0.409808 0.322277i
\(607\) 1.93667 + 1.84661i 0.0786068 + 0.0749515i 0.728364 0.685190i \(-0.240281\pi\)
−0.649757 + 0.760142i \(0.725129\pi\)
\(608\) 1.93249 + 2.23021i 0.0783728 + 0.0904470i
\(609\) −6.19500 + 0.600481i −0.251034 + 0.0243327i
\(610\) −1.67946 + 1.07933i −0.0679995 + 0.0437006i
\(611\) −14.3249 + 41.3889i −0.579522 + 1.67442i
\(612\) −1.15133 + 4.74585i −0.0465398 + 0.191840i
\(613\) −22.8597 17.9771i −0.923294 0.726087i 0.0386727 0.999252i \(-0.487687\pi\)
−0.961967 + 0.273165i \(0.911929\pi\)
\(614\) 27.8649 + 5.37053i 1.12454 + 0.216737i
\(615\) 9.54750 20.9061i 0.384993 0.843016i
\(616\) −9.68281 9.20617i −0.390131 0.370927i
\(617\) −13.6565 29.9036i −0.549790 1.20387i −0.956880 0.290484i \(-0.906184\pi\)
0.407090 0.913388i \(-0.366544\pi\)
\(618\) −0.0770304 + 0.0605774i −0.00309862 + 0.00243678i
\(619\) 10.9991 5.67045i 0.442093 0.227915i −0.222784 0.974868i \(-0.571514\pi\)
0.664877 + 0.746953i \(0.268484\pi\)
\(620\) −4.44998 + 7.70760i −0.178716 + 0.309545i
\(621\) 4.79311 + 0.161556i 0.192341 + 0.00648302i
\(622\) 29.6231 1.18778
\(623\) −13.1969 + 0.0188495i −0.528723 + 0.000755191i
\(624\) 0.579524 + 4.03068i 0.0231995 + 0.161356i
\(625\) −14.9122 + 20.9413i −0.596488 + 0.837650i
\(626\) −1.84957 + 1.76356i −0.0739237 + 0.0704861i
\(627\) −8.64413 12.1390i −0.345213 0.484784i
\(628\) −9.46877 1.82496i −0.377845 0.0728237i
\(629\) −6.60292 + 45.9243i −0.263276 + 1.83112i
\(630\) 1.97109 + 5.66887i 0.0785299 + 0.225853i
\(631\) −21.0492 24.2921i −0.837955 0.967052i 0.161849 0.986815i \(-0.448254\pi\)
−0.999805 + 0.0197634i \(0.993709\pi\)
\(632\) 5.58335 + 2.87841i 0.222094 + 0.114497i
\(633\) 0.475752 + 9.98726i 0.0189094 + 0.396958i
\(634\) −24.8993 + 4.79894i −0.988877 + 0.190590i
\(635\) −33.5962 32.0339i −1.33323 1.27123i
\(636\) 1.28202 8.91668i 0.0508356 0.353569i
\(637\) 16.4681 23.2665i 0.652488 0.921853i
\(638\) 4.93501 10.8062i 0.195379 0.427820i
\(639\) −2.84734 11.7369i −0.112639 0.464304i
\(640\) 2.25818 + 0.215630i 0.0892625 + 0.00852354i
\(641\) 7.88560 + 3.15692i 0.311463 + 0.124691i 0.522127 0.852868i \(-0.325139\pi\)
−0.210665 + 0.977558i \(0.567563\pi\)
\(642\) −0.0436479 + 0.916283i −0.00172265 + 0.0361628i
\(643\) −18.0083 −0.710179 −0.355089 0.934832i \(-0.615550\pi\)
−0.355089 + 0.934832i \(0.615550\pi\)
\(644\) −11.9257 + 4.33341i −0.469937 + 0.170760i
\(645\) −21.8241 −0.859324
\(646\) 0.685713 14.3949i 0.0269790 0.566359i
\(647\) −12.1763 4.87464i −0.478698 0.191642i 0.119749 0.992804i \(-0.461791\pi\)
−0.598447 + 0.801162i \(0.704215\pi\)
\(648\) 0.995472 + 0.0950560i 0.0391058 + 0.00373415i
\(649\) −5.35453 22.0717i −0.210184 0.866389i
\(650\) −0.246789 + 0.540393i −0.00967987 + 0.0211959i
\(651\) 1.46258 10.2767i 0.0573232 0.402775i
\(652\) 2.14336 14.9074i 0.0839406 0.583820i
\(653\) 28.1904 + 26.8795i 1.10318 + 1.05188i 0.998352 + 0.0573847i \(0.0182762\pi\)
0.104823 + 0.994491i \(0.466572\pi\)
\(654\) 0.510830 0.0984545i 0.0199751 0.00384988i
\(655\) −2.19983 46.1801i −0.0859544 1.80440i
\(656\) 9.00531 + 4.64256i 0.351598 + 0.181262i
\(657\) 5.65903 + 6.53087i 0.220780 + 0.254793i
\(658\) −27.9498 5.34549i −1.08960 0.208389i
\(659\) −7.00862 + 48.7460i −0.273017 + 1.89888i 0.143337 + 0.989674i \(0.454217\pi\)
−0.416354 + 0.909203i \(0.636692\pi\)
\(660\) −11.2485 2.16796i −0.437846 0.0843878i
\(661\) 4.01871 + 5.64349i 0.156310 + 0.219506i 0.885303 0.465015i \(-0.153951\pi\)
−0.728993 + 0.684521i \(0.760012\pi\)
\(662\) 10.9824 10.4717i 0.426843 0.406994i
\(663\) 11.5352 16.1989i 0.447989 0.629112i
\(664\) 0.491367 + 3.41753i 0.0190687 + 0.132626i
\(665\) −8.87748 15.3257i −0.344254 0.594304i
\(666\) 9.50066 0.368143
\(667\) −7.09674 8.77043i −0.274787 0.339592i
\(668\) 11.6259 20.1367i 0.449820 0.779111i
\(669\) 21.1477 10.9024i 0.817617 0.421511i
\(670\) −3.53538 + 2.78025i −0.136584 + 0.107411i
\(671\) 1.84620 + 4.04261i 0.0712717 + 0.156063i
\(672\) −2.53751 + 0.749019i −0.0978867 + 0.0288941i
\(673\) −16.3087 + 35.7111i −0.628655 + 1.37656i 0.280399 + 0.959884i \(0.409533\pi\)
−0.909054 + 0.416679i \(0.863194\pi\)
\(674\) 25.4991 + 4.91455i 0.982190 + 0.189302i
\(675\) 0.114677 + 0.0901826i 0.00441390 + 0.00347113i
\(676\) 0.844538 3.48123i 0.0324822 0.133894i
\(677\) −3.93789 + 11.3778i −0.151345 + 0.437284i −0.995032 0.0995517i \(-0.968259\pi\)
0.843687 + 0.536835i \(0.180380\pi\)
\(678\) 6.18181 3.97281i 0.237411 0.152575i
\(679\) 9.59727 + 13.4368i 0.368309 + 0.515658i
\(680\) −7.25457 8.37222i −0.278200 0.321060i
\(681\) −3.27552 3.12320i −0.125518 0.119681i
\(682\) 15.5737 + 12.2473i 0.596349 + 0.468974i
\(683\) 15.4305 + 44.5836i 0.590432 + 1.70594i 0.701992 + 0.712185i \(0.252294\pi\)
−0.111560 + 0.993758i \(0.535585\pi\)
\(684\) −2.93763 + 0.280510i −0.112323 + 0.0107256i
\(685\) −12.9088 3.79035i −0.493218 0.144822i
\(686\) 16.4977 + 8.41586i 0.629884 + 0.321319i
\(687\) 2.05882 + 14.3194i 0.0785488 + 0.546319i
\(688\) 0.457771 9.60981i 0.0174524 0.366370i
\(689\) −18.3416 + 31.7686i −0.698760 + 1.21029i
\(690\) −6.60546 + 8.64427i −0.251466 + 0.329082i
\(691\) −2.08977 3.61960i −0.0794988 0.137696i 0.823535 0.567265i \(-0.191999\pi\)
−0.903034 + 0.429570i \(0.858665\pi\)
\(692\) −3.06502 1.96977i −0.116515 0.0748794i
\(693\) 13.1157 2.54728i 0.498224 0.0967632i
\(694\) 8.29642 + 18.1666i 0.314928 + 0.689596i
\(695\) 2.53719 + 10.4584i 0.0962410 + 0.396711i
\(696\) −1.36456 1.91626i −0.0517236 0.0726357i
\(697\) −16.1826 46.7565i −0.612959 1.77103i
\(698\) 22.8901 9.16382i 0.866403 0.346856i
\(699\) 28.6025 8.39845i 1.08185 0.317659i
\(700\) −0.370506 0.108216i −0.0140038 0.00409017i
\(701\) −6.04538 + 3.88513i −0.228331 + 0.146739i −0.649805 0.760101i \(-0.725149\pi\)
0.421474 + 0.906841i \(0.361513\pi\)
\(702\) −3.61945 1.86596i −0.136607 0.0704260i
\(703\) −27.5297 + 5.30592i −1.03830 + 0.200116i
\(704\) 1.19056 4.90755i 0.0448709 0.184960i
\(705\) −22.6507 + 9.06797i −0.853074 + 0.341519i
\(706\) −11.8431 + 13.6677i −0.445722 + 0.514391i
\(707\) −26.6611 + 21.0282i −1.00269 + 0.790847i
\(708\) −4.31531 1.26709i −0.162179 0.0476201i
\(709\) 9.14658 12.8446i 0.343507 0.482388i −0.606295 0.795240i \(-0.707345\pi\)
0.949802 + 0.312852i \(0.101284\pi\)
\(710\) 25.4344 + 10.1824i 0.954535 + 0.382138i
\(711\) −5.58335 + 2.87841i −0.209392 + 0.107949i
\(712\) −2.49398 4.31970i −0.0934659 0.161888i
\(713\) 17.0051 8.05361i 0.636845 0.301610i
\(714\) 11.4927 + 5.90413i 0.430103 + 0.220957i
\(715\) 39.2429 + 25.2199i 1.46760 + 0.943170i
\(716\) 3.17846 2.49957i 0.118785 0.0934134i
\(717\) −12.6552 1.20842i −0.472617 0.0451294i
\(718\) −25.5886 + 24.3987i −0.954959 + 0.910552i
\(719\) 27.6532 2.64056i 1.03129 0.0984762i 0.434335 0.900751i \(-0.356983\pi\)
0.596954 + 0.802275i \(0.296377\pi\)
\(720\) −1.48552 + 1.71438i −0.0553621 + 0.0638913i
\(721\) 0.108043 + 0.235690i 0.00402374 + 0.00877755i
\(722\) −9.87476 + 2.89949i −0.367501 + 0.107908i
\(723\) 0.325560 0.940643i 0.0121077 0.0349829i
\(724\) 0.550495 + 11.5563i 0.0204590 + 0.429487i
\(725\) −0.0163301 0.342810i −0.000606483 0.0127316i
\(726\) −4.74297 + 13.7039i −0.176028 + 0.508600i
\(727\) 10.1833 2.99009i 0.377679 0.110896i −0.0873829 0.996175i \(-0.527850\pi\)
0.465062 + 0.885278i \(0.346032\pi\)
\(728\) 10.7265 + 1.00880i 0.397551 + 0.0373885i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) −19.5143 + 1.86339i −0.722255 + 0.0689670i
\(731\) −34.0031 + 32.4219i −1.25765 + 1.19917i
\(732\) 0.876078 + 0.0836553i 0.0323808 + 0.00309199i
\(733\) 3.44355 2.70804i 0.127190 0.100024i −0.552537 0.833488i \(-0.686340\pi\)
0.679728 + 0.733464i \(0.262098\pi\)
\(734\) 23.5467 + 15.1326i 0.869126 + 0.558553i
\(735\) 15.8029 1.55456i 0.582899 0.0573409i
\(736\) −3.66777 3.08990i −0.135196 0.113895i
\(737\) 5.00618 + 8.67096i 0.184405 + 0.319399i
\(738\) −9.00531 + 4.64256i −0.331490 + 0.170895i
\(739\) 10.7482 + 4.30292i 0.395378 + 0.158285i 0.560827 0.827933i \(-0.310483\pi\)
−0.165449 + 0.986218i \(0.552907\pi\)
\(740\) −12.5013 + 17.5556i −0.459556 + 0.645356i
\(741\) 11.5300 + 3.38553i 0.423567 + 0.124370i
\(742\) −22.1393 8.82656i −0.812758 0.324033i
\(743\) 32.6410 37.6698i 1.19748 1.38197i 0.292642 0.956222i \(-0.405466\pi\)
0.904842 0.425748i \(-0.139989\pi\)
\(744\) 3.64232 1.45817i 0.133534 0.0534590i
\(745\) −2.50286 + 10.3169i −0.0916978 + 0.377984i
\(746\) −4.59503 + 0.885619i −0.168236 + 0.0324248i
\(747\) −3.06886 1.58211i −0.112284 0.0578863i
\(748\) −20.7464 + 13.3329i −0.758562 + 0.487498i
\(749\) 2.32967 + 0.680440i 0.0851243 + 0.0248627i
\(750\) 10.5653 3.10225i 0.385790 0.113278i
\(751\) −12.3508 + 4.94452i −0.450687 + 0.180428i −0.585891 0.810390i \(-0.699255\pi\)
0.135204 + 0.990818i \(0.456831\pi\)
\(752\) −3.51778 10.1640i −0.128280 0.370642i
\(753\) 14.7132 + 20.6618i 0.536178 + 0.752956i
\(754\) 2.25846 + 9.30950i 0.0822483 + 0.339032i
\(755\) −15.4019 33.7255i −0.560534 1.22740i
\(756\) 0.861768 2.50147i 0.0313422 0.0909776i
\(757\) −43.7700 28.1293i −1.59085 1.02238i −0.971433 0.237313i \(-0.923733\pi\)
−0.619415 0.785063i \(-0.712630\pi\)
\(758\) −5.49037 9.50960i −0.199419 0.345404i
\(759\) 16.9548 + 17.2936i 0.615420 + 0.627719i
\(760\) 3.34710 5.79734i 0.121412 0.210292i
\(761\) −1.15089 + 24.1601i −0.0417196 + 0.875801i 0.876904 + 0.480666i \(0.159605\pi\)
−0.918623 + 0.395135i \(0.870698\pi\)
\(762\) 2.91227 + 20.2553i 0.105500 + 0.733771i
\(763\) 0.0635281 1.37494i 0.00229987 0.0497761i
\(764\) −0.899537 0.264128i −0.0325441 0.00955582i
\(765\) 11.0279 1.05303i 0.398713 0.0380725i
\(766\) 11.3693 + 32.8495i 0.410790 + 1.18690i
\(767\) 14.3961 + 11.3212i 0.519811 + 0.408784i
\(768\) −0.723734 0.690079i −0.0261155 0.0249011i
\(769\) −9.97005 11.5061i −0.359529 0.414919i 0.546953 0.837164i \(-0.315788\pi\)
−0.906482 + 0.422245i \(0.861242\pi\)
\(770\) −12.5511 + 27.5874i −0.452312 + 0.994180i
\(771\) 14.9090 9.58144i 0.536935 0.345067i
\(772\) 3.70198 10.6962i 0.133237 0.384963i
\(773\) 3.36646 13.8767i 0.121083 0.499112i −0.878681 0.477409i \(-0.841576\pi\)
0.999764 0.0217028i \(-0.00690877\pi\)
\(774\) 7.56238 + 5.94712i 0.271824 + 0.213765i
\(775\) 0.562032 + 0.108323i 0.0201888 + 0.00389107i
\(776\) −2.59263 + 5.67707i −0.0930700 + 0.203795i
\(777\) 5.89123 24.4363i 0.211347 0.876646i
\(778\) −8.81605 19.3045i −0.316071 0.692098i
\(779\) 23.5016 18.4819i 0.842032 0.662181i
\(780\) 8.21056 4.23284i 0.293985 0.151560i
\(781\) 30.4946 52.8183i 1.09118 1.88999i
\(782\) 2.55026 + 23.2812i 0.0911972 + 0.832535i
\(783\) 2.35246 0.0840702
\(784\) 0.353046 + 6.99109i 0.0126088 + 0.249682i
\(785\) 3.11311 + 21.6521i 0.111112 + 0.772798i
\(786\) −11.8219 + 16.6015i −0.421673 + 0.592157i
\(787\) −6.23471 + 5.94479i −0.222243 + 0.211909i −0.793018 0.609198i \(-0.791491\pi\)
0.570775 + 0.821107i \(0.306643\pi\)
\(788\) 1.47944 + 2.07758i 0.0527027 + 0.0740107i
\(789\) 1.19957 + 0.231199i 0.0427060 + 0.00823090i
\(790\) 2.02793 14.1046i 0.0721506 0.501819i
\(791\) −6.38504 18.3635i −0.227026 0.652930i
\(792\) 3.30698 + 3.81646i 0.117508 + 0.135612i
\(793\) −3.18534 1.64216i −0.113115 0.0583148i
\(794\) −1.12927 23.7062i −0.0400761 0.841302i
\(795\) −20.0658 + 3.86737i −0.711660 + 0.137161i
\(796\) −14.0904 13.4352i −0.499422 0.476198i
\(797\) 1.15899 8.06098i 0.0410537 0.285535i −0.958944 0.283594i \(-0.908473\pi\)
0.999998 0.00194055i \(-0.000617698\pi\)
\(798\) −1.10010 + 7.72970i −0.0389430 + 0.273628i
\(799\) −21.8195 + 47.7781i −0.771920 + 1.69027i
\(800\) −0.0343946 0.141777i −0.00121603 0.00501256i
\(801\) 4.96538 + 0.474136i 0.175443 + 0.0167528i
\(802\) 16.8387 + 6.74120i 0.594595 + 0.238040i
\(803\) −2.07643 + 43.5897i −0.0732757 + 1.53825i
\(804\) 1.98269 0.0699240
\(805\) 18.1376 + 22.3498i 0.639267 + 0.787728i
\(806\) −15.9764 −0.562745
\(807\) −0.770865 + 16.1825i −0.0271357 + 0.569649i
\(808\) −11.9148 4.76995i −0.419160 0.167806i
\(809\) 30.3884 + 2.90174i 1.06840 + 0.102020i 0.614410 0.788987i \(-0.289394\pi\)
0.453990 + 0.891007i \(0.350000\pi\)
\(810\) −0.534809 2.20451i −0.0187913 0.0774586i
\(811\) −7.07331 + 15.4884i −0.248378 + 0.543871i −0.992222 0.124482i \(-0.960273\pi\)
0.743844 + 0.668353i \(0.233000\pi\)
\(812\) −5.77489 + 2.32149i −0.202659 + 0.0814684i
\(813\) 2.06466 14.3600i 0.0724108 0.503628i
\(814\) 34.7228 + 33.1082i 1.21704 + 1.16044i
\(815\) −33.5472 + 6.46569i −1.17511 + 0.226483i
\(816\) 0.232367 + 4.87798i 0.00813447 + 0.170763i
\(817\) −25.2346 13.0093i −0.882847 0.455139i
\(818\) 20.7366 + 23.9313i 0.725037 + 0.836737i
\(819\) −7.04372 + 8.15239i −0.246128 + 0.284867i
\(820\) 3.27083 22.7491i 0.114222 0.794434i
\(821\) −22.0781 4.25520i −0.770530 0.148507i −0.211189 0.977445i \(-0.567734\pi\)
−0.559341 + 0.828938i \(0.688946\pi\)
\(822\) 3.44020 + 4.83108i 0.119991 + 0.168503i
\(823\) 19.6457 18.7322i 0.684807 0.652963i −0.265559 0.964095i \(-0.585557\pi\)
0.950367 + 0.311132i \(0.100708\pi\)
\(824\) −0.0568435 + 0.0798255i −0.00198024 + 0.00278085i
\(825\) 0.104847 + 0.729226i 0.00365030 + 0.0253884i
\(826\) −5.93490 + 10.3135i −0.206501 + 0.358854i
\(827\) −9.46492 −0.329127 −0.164564 0.986366i \(-0.552622\pi\)
−0.164564 + 0.986366i \(0.552622\pi\)
\(828\) 4.64447 1.19536i 0.161407 0.0415417i
\(829\) −3.23867 + 5.60954i −0.112484 + 0.194827i −0.916771 0.399413i \(-0.869214\pi\)
0.804287 + 0.594241i \(0.202547\pi\)
\(830\) 6.96157 3.58894i 0.241640 0.124574i
\(831\) 1.38568 1.08971i 0.0480688 0.0378017i
\(832\) 1.69162 + 3.70414i 0.0586464 + 0.128418i
\(833\) 22.3122 25.8988i 0.773074 0.897341i
\(834\) 1.97077 4.31539i 0.0682423 0.149430i
\(835\) −51.7925 9.98219i −1.79235 0.345448i
\(836\) −11.7139 9.21194i −0.405135 0.318601i
\(837\) −0.924967 + 3.81277i −0.0319716 + 0.131789i
\(838\) 9.94795 28.7427i 0.343646 0.992900i
\(839\) 6.35627 4.08493i 0.219443 0.141027i −0.426301 0.904581i \(-0.640184\pi\)
0.645744 + 0.763554i \(0.276547\pi\)
\(840\) 3.48835 + 4.88392i 0.120359 + 0.168511i
\(841\) 15.3669 + 17.7344i 0.529893 + 0.611529i
\(842\) 16.8139 + 16.0320i 0.579445 + 0.552499i
\(843\) 2.66214 + 2.09353i 0.0916891 + 0.0721051i
\(844\) 3.27022 + 9.44867i 0.112565 + 0.325237i
\(845\) −8.08928 + 0.772433i −0.278280 + 0.0265725i
\(846\) 10.3198 + 3.03018i 0.354803 + 0.104180i
\(847\) 32.3062 + 20.6968i 1.11006 + 0.711151i
\(848\) −1.28202 8.91668i −0.0440249 0.306200i
\(849\) 0.733110 15.3899i 0.0251603 0.528179i
\(850\) −0.356225 + 0.617001i −0.0122184 + 0.0211629i
\(851\) 42.8462 15.4997i 1.46875 0.531323i
\(852\) −6.03866 10.4593i −0.206881 0.358329i
\(853\) 6.85819 + 4.40749i 0.234820 + 0.150910i 0.652759 0.757565i \(-0.273611\pi\)
−0.417939 + 0.908475i \(0.637248\pi\)
\(854\) 0.758410 2.20145i 0.0259523 0.0753321i
\(855\) 2.78087 + 6.08925i 0.0951037 + 0.208248i
\(856\) 0.216267 + 0.891464i 0.00739185 + 0.0304696i
\(857\) −22.6347 31.7861i −0.773188 1.08579i −0.993882 0.110448i \(-0.964771\pi\)
0.220694 0.975343i \(-0.429168\pi\)
\(858\) −6.72577 19.4328i −0.229614 0.663426i
\(859\) 13.2554 5.30666i 0.452268 0.181061i −0.134334 0.990936i \(-0.542890\pi\)
0.586602 + 0.809875i \(0.300465\pi\)
\(860\) −20.9401 + 6.14857i −0.714052 + 0.209664i
\(861\) 6.35687 + 26.0410i 0.216642 + 0.887475i
\(862\) −7.49127 + 4.81435i −0.255154 + 0.163977i
\(863\) −30.2358 15.5877i −1.02924 0.530610i −0.141010 0.990008i \(-0.545035\pi\)
−0.888230 + 0.459398i \(0.848065\pi\)
\(864\) 0.981929 0.189251i 0.0334059 0.00643846i
\(865\) −1.94852 + 8.03191i −0.0662517 + 0.273093i
\(866\) 18.1783 7.27748i 0.617723 0.247299i
\(867\) 4.48494 5.17589i 0.152316 0.175783i
\(868\) −1.49194 10.2725i −0.0506396 0.348670i
\(869\) −30.4367 8.93702i −1.03249 0.303168i
\(870\) −3.09545 + 4.34695i −0.104946 + 0.147375i
\(871\) −7.49541 3.00071i −0.253972 0.101675i
\(872\) 0.462400 0.238384i 0.0156589 0.00807270i
\(873\) −3.12053 5.40492i −0.105614 0.182929i
\(874\) −12.7905 + 6.05760i −0.432646 + 0.204901i
\(875\) −1.42778 29.0982i −0.0482677 0.983700i
\(876\) 7.26976 + 4.67199i 0.245622 + 0.157852i
\(877\) −30.0992 + 23.6703i −1.01638 + 0.799289i −0.979787 0.200041i \(-0.935892\pi\)
−0.0365913 + 0.999330i \(0.511650\pi\)
\(878\) −16.4013 1.56614i −0.553519 0.0528546i
\(879\) 6.29936 6.00643i 0.212472 0.202592i
\(880\) −11.4036 + 1.08891i −0.384415 + 0.0367072i
\(881\) 12.2093 14.0903i 0.411342 0.474714i −0.511838 0.859082i \(-0.671035\pi\)
0.923180 + 0.384368i \(0.125581\pi\)
\(882\) −5.89956 3.76765i −0.198649 0.126863i
\(883\) 1.18457 0.347821i 0.0398639 0.0117051i −0.261740 0.965138i \(-0.584296\pi\)
0.301604 + 0.953433i \(0.402478\pi\)
\(884\) 6.50416 18.7925i 0.218759 0.632062i
\(885\) 0.485448 + 10.1908i 0.0163181 + 0.342560i
\(886\) −0.232035 4.87100i −0.00779535 0.163645i
\(887\) −18.6557 + 53.9020i −0.626396 + 1.80985i −0.0409211 + 0.999162i \(0.513029\pi\)
−0.585475 + 0.810690i \(0.699092\pi\)
\(888\) 9.11581 2.67664i 0.305907 0.0898223i
\(889\) 53.9036 + 5.06949i 1.80787 + 0.170025i
\(890\) −7.40973 + 8.55129i −0.248375 + 0.286640i
\(891\) −5.02703 + 0.480023i −0.168412 + 0.0160814i
\(892\) 17.2195 16.4188i 0.576552 0.549741i
\(893\) −31.5957 3.01702i −1.05731 0.100961i
\(894\) 3.67867 2.89294i 0.123033 0.0967543i
\(895\) −7.71654 4.95912i −0.257936 0.165765i
\(896\) −2.22370 + 1.43358i −0.0742887 + 0.0478925i
\(897\) −19.3672 2.51022i −0.646653 0.0838136i
\(898\) −8.26501 14.3154i −0.275807 0.477712i
\(899\) 8.20357 4.22923i 0.273604 0.141053i
\(900\) 0.135439 + 0.0542215i 0.00451462 + 0.00180738i
\(901\) −25.5181 + 35.8352i −0.850133 + 1.19384i
\(902\) −49.0910 14.4144i −1.63455 0.479948i
\(903\) 19.9857 15.7632i 0.665082 0.524566i
\(904\) 4.81213 5.55350i 0.160049 0.184707i
\(905\) 24.3647 9.75417i 0.809911 0.324240i
\(906\) −3.85328 + 15.8834i −0.128017 + 0.527692i
\(907\) −55.8443 + 10.7631i −1.85428 + 0.357383i −0.989473 0.144721i \(-0.953772\pi\)
−0.864807 + 0.502104i \(0.832559\pi\)
\(908\) −4.02274 2.07387i −0.133499 0.0688238i
\(909\) 10.7967 6.93864i 0.358105 0.230140i
\(910\) −5.79586 23.7428i −0.192131 0.787065i
\(911\) 17.1666 5.04058i 0.568756 0.167002i 0.0153041 0.999883i \(-0.495128\pi\)
0.553452 + 0.832881i \(0.313310\pi\)
\(912\) −2.73961 + 1.09677i −0.0907174 + 0.0363178i
\(913\) −5.70265 16.4767i −0.188730 0.545300i
\(914\) 11.3762 + 15.9756i 0.376290 + 0.528426i
\(915\) −0.470665 1.94011i −0.0155597 0.0641380i
\(916\) 6.00966 + 13.1593i 0.198565 + 0.434796i
\(917\) 35.3695 + 40.7010i 1.16801 + 1.34407i
\(918\) −4.10827 2.64023i −0.135593 0.0871404i
\(919\) −28.6878 49.6887i −0.946322 1.63908i −0.753082 0.657926i \(-0.771434\pi\)
−0.193240 0.981152i \(-0.561899\pi\)
\(920\) −3.90252 + 10.1551i −0.128662 + 0.334803i
\(921\) −14.1889 + 24.5759i −0.467540 + 0.809802i
\(922\) −0.171222 + 3.59438i −0.00563888 + 0.118375i
\(923\) 6.99910 + 48.6798i 0.230378 + 1.60232i
\(924\) 11.8668 6.13922i 0.390388 0.201965i
\(925\) 1.32990 + 0.390493i 0.0437268 + 0.0128393i
\(926\) 20.6070 1.96773i 0.677188 0.0646636i
\(927\) −0.0320515 0.0926067i −0.00105271 0.00304160i
\(928\) −1.84916 1.45420i −0.0607017 0.0477364i
\(929\) −35.4282 33.7808i −1.16236 1.10831i −0.992424 0.122856i \(-0.960795\pi\)
−0.169939 0.985455i \(-0.554357\pi\)
\(930\) −5.82824 6.72615i −0.191116 0.220559i
\(931\) 19.1991 + 7.62260i 0.629225 + 0.249821i
\(932\) 25.0778 16.1165i 0.821450 0.527914i
\(933\) −9.68876 + 27.9938i −0.317196 + 0.916477i
\(934\) 4.21745 17.3845i 0.137999 0.568840i
\(935\) 43.9741 + 34.5816i 1.43811 + 1.13094i
\(936\) −3.99854 0.770655i −0.130696 0.0251896i
\(937\) −10.8440 + 23.7451i −0.354260 + 0.775720i 0.645667 + 0.763619i \(0.276579\pi\)
−0.999927 + 0.0121013i \(0.996148\pi\)
\(938\) 1.22944 5.09959i 0.0401425 0.166507i
\(939\) −1.06163 2.32465i −0.0346450 0.0758621i
\(940\) −19.1784 + 15.0821i −0.625531 + 0.491923i
\(941\) −34.3350 + 17.7009i −1.11929 + 0.577034i −0.915636 0.402009i \(-0.868312\pi\)
−0.203654 + 0.979043i \(0.565282\pi\)
\(942\) 4.82152 8.35111i 0.157094 0.272094i
\(943\) −33.0382 + 35.6287i −1.07587 + 1.16023i
\(944\) −4.49749 −0.146381
\(945\) −6.00176 + 0.00857250i −0.195237 + 0.000278864i
\(946\) 6.91416 + 48.0891i 0.224799 + 1.56351i
\(947\) 13.2173 18.5612i 0.429506 0.603157i −0.541940 0.840417i \(-0.682310\pi\)
0.971446 + 0.237260i \(0.0762495\pi\)
\(948\) −4.54624 + 4.33483i −0.147655 + 0.140789i
\(949\) −20.4120 28.6646i −0.662600 0.930492i
\(950\) −0.422737 0.0814760i −0.0137154 0.00264343i
\(951\) 3.60875 25.0994i 0.117022 0.813905i
\(952\) 12.6905 + 2.42711i 0.411303 + 0.0786630i
\(953\) 15.6144 + 18.0200i 0.505799 + 0.583724i 0.950018 0.312195i \(-0.101064\pi\)
−0.444219 + 0.895918i \(0.646519\pi\)
\(954\) 8.00696 + 4.12787i 0.259235 + 0.133645i
\(955\) 0.101193 + 2.12430i 0.00327452 + 0.0687407i
\(956\) −12.4830 + 2.40590i −0.403730 + 0.0778125i
\(957\) 8.59775 + 8.19794i 0.277926 + 0.265002i
\(958\) 1.49306 10.3845i 0.0482387 0.335508i
\(959\) 14.5590 5.85270i 0.470136 0.188994i
\(960\) −0.942350 + 2.06346i −0.0304142 + 0.0665979i
\(961\) −3.67955 15.1673i −0.118695 0.489268i
\(962\) −38.5127 3.67752i −1.24170 0.118568i
\(963\) −0.851613 0.340934i −0.0274428 0.0109865i
\(964\) 0.0473625 0.994261i 0.00152544 0.0320230i
\(965\) −25.6759 −0.826537
\(966\) −0.194573 12.6871i −0.00626028 0.408200i
\(967\) 9.41123 0.302645 0.151322 0.988484i \(-0.451647\pi\)
0.151322 + 0.988484i \(0.451647\pi\)
\(968\) −0.690008 + 14.4851i −0.0221777 + 0.465567i
\(969\) 13.3789 + 5.35610i 0.429792 + 0.172063i
\(970\) 14.0935 + 1.34576i 0.452514 + 0.0432098i
\(971\) −9.63013 39.6959i −0.309046 1.27390i −0.888492 0.458893i \(-0.848246\pi\)
0.579446 0.815011i \(-0.303269\pi\)
\(972\) −0.415415 + 0.909632i −0.0133244 + 0.0291765i
\(973\) −9.87739 7.74486i −0.316655 0.248289i
\(974\) −4.37404 + 30.4221i −0.140153 + 0.974787i
\(975\) −0.429955 0.409961i −0.0137696 0.0131293i
\(976\) 0.864159 0.166553i 0.0276611 0.00533123i
\(977\) 1.67796 + 35.2248i 0.0536828 + 1.12694i 0.851606 + 0.524182i \(0.175629\pi\)
−0.797924 + 0.602759i \(0.794068\pi\)
\(978\) 13.3865 + 6.90122i 0.428053 + 0.220677i
\(979\) 16.4951 + 19.0364i 0.527186 + 0.608405i
\(980\) 14.7248 5.94379i 0.470367 0.189867i
\(981\) −0.0740367 + 0.514936i −0.00236381 + 0.0164407i
\(982\) 27.2627 + 5.25446i 0.869989 + 0.167677i
\(983\) −13.1283 18.4361i −0.418726 0.588019i 0.550303 0.834965i \(-0.314512\pi\)
−0.969029 + 0.246946i \(0.920573\pi\)
\(984\) −7.33257 + 6.99160i −0.233754 + 0.222884i
\(985\) 3.35604 4.71289i 0.106932 0.150165i
\(986\) 1.63495 + 11.3714i 0.0520675 + 0.362138i
\(987\) 14.1930 24.6643i 0.451768 0.785072i
\(988\) 12.0168 0.382306
\(989\) 43.8073 + 14.4829i 1.39299 + 0.460529i
\(990\) 5.72773 9.92073i 0.182039 0.315301i
\(991\) 19.4858 10.0456i 0.618987 0.319110i −0.120057 0.992767i \(-0.538308\pi\)
0.739044 + 0.673657i \(0.235277\pi\)
\(992\) 3.08397 2.42526i 0.0979161 0.0770021i
\(993\) 6.30377 + 13.8033i 0.200044 + 0.438036i
\(994\) −30.6464 + 9.04615i −0.972044 + 0.286927i
\(995\) −18.3467 + 40.1737i −0.581629 + 1.27359i
\(996\) −3.39028 0.653423i −0.107425 0.0207045i
\(997\) 3.95934 + 3.11366i 0.125394 + 0.0986106i 0.678886 0.734243i \(-0.262463\pi\)
−0.553493 + 0.832854i \(0.686705\pi\)
\(998\) −8.48988 + 34.9957i −0.268742 + 1.10777i
\(999\) −3.10736 + 8.97813i −0.0983125 + 0.284055i
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 966.2.y.a.25.7 160
7.2 even 3 inner 966.2.y.a.163.7 yes 160
23.12 even 11 inner 966.2.y.a.403.7 yes 160
161.58 even 33 inner 966.2.y.a.541.7 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.y.a.25.7 160 1.1 even 1 trivial
966.2.y.a.163.7 yes 160 7.2 even 3 inner
966.2.y.a.403.7 yes 160 23.12 even 11 inner
966.2.y.a.541.7 yes 160 161.58 even 33 inner