Properties

Label 525.2.bv.a.52.20
Level $525$
Weight $2$
Character 525.52
Analytic conductor $4.192$
Analytic rank $0$
Dimension $640$
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] = [525,2,Mod(52,525)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(525, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([0, 3, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("525.52");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 525.bv (of order \(60\), degree \(16\), 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: \(4.19214610612\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(40\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 52.20
Character \(\chi\) \(=\) 525.52
Dual form 525.2.bv.a.313.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0670074 - 0.174560i) q^{2} +(0.0523360 - 0.998630i) q^{3} +(1.46031 - 1.31487i) q^{4} +(0.297475 - 2.21619i) q^{5} +(-0.177828 + 0.0577798i) q^{6} +(-2.22491 + 1.43170i) q^{7} +(-0.660575 - 0.336580i) q^{8} +(-0.994522 - 0.104528i) q^{9} +O(q^{10})\) \(q+(-0.0670074 - 0.174560i) q^{2} +(0.0523360 - 0.998630i) q^{3} +(1.46031 - 1.31487i) q^{4} +(0.297475 - 2.21619i) q^{5} +(-0.177828 + 0.0577798i) q^{6} +(-2.22491 + 1.43170i) q^{7} +(-0.660575 - 0.336580i) q^{8} +(-0.994522 - 0.104528i) q^{9} +(-0.406792 + 0.0965741i) q^{10} +(-0.272501 - 2.59268i) q^{11} +(-1.23664 - 1.52712i) q^{12} +(0.0432256 + 0.272915i) q^{13} +(0.399004 + 0.292447i) q^{14} +(-2.19759 - 0.413054i) q^{15} +(0.396315 - 3.77068i) q^{16} +(4.52290 - 2.93721i) q^{17} +(0.0483938 + 0.180608i) q^{18} +(-1.85932 + 2.06498i) q^{19} +(-2.47959 - 3.62746i) q^{20} +(1.31330 + 2.29679i) q^{21} +(-0.434319 + 0.221297i) q^{22} +(-5.38916 + 2.06871i) q^{23} +(-0.370690 + 0.642055i) q^{24} +(-4.82302 - 1.31852i) q^{25} +(0.0447438 - 0.0258328i) q^{26} +(-0.156434 + 0.987688i) q^{27} +(-1.36656 + 5.01619i) q^{28} +(7.97236 + 2.59038i) q^{29} +(0.0751519 + 0.411289i) q^{30} +(0.149517 - 0.703422i) q^{31} +(-2.11701 + 0.567250i) q^{32} +(-2.60339 + 0.136438i) q^{33} +(-0.815788 - 0.592705i) q^{34} +(2.51107 + 5.35673i) q^{35} +(-1.58975 + 1.15502i) q^{36} +(-3.12283 + 2.52881i) q^{37} +(0.485052 + 0.186194i) q^{38} +(0.274804 - 0.0288830i) q^{39} +(-0.942430 + 1.36384i) q^{40} +(3.45088 - 4.74973i) q^{41} +(0.312928 - 0.383152i) q^{42} +(-3.26866 + 3.26866i) q^{43} +(-3.80696 - 3.42781i) q^{44} +(-0.527500 + 2.17296i) q^{45} +(0.722228 + 0.802115i) q^{46} +(4.12304 - 6.34893i) q^{47} +(-3.74478 - 0.593114i) q^{48} +(2.90046 - 6.37082i) q^{49} +(0.0930164 + 0.930258i) q^{50} +(-2.69647 - 4.67043i) q^{51} +(0.421970 + 0.341705i) q^{52} +(-1.07539 - 0.0563589i) q^{53} +(0.182894 - 0.0388752i) q^{54} +(-5.82694 - 0.167340i) q^{55} +(1.95160 - 0.196886i) q^{56} +(1.96484 + 1.96484i) q^{57} +(-0.0820303 - 1.56523i) q^{58} +(6.14719 - 2.73691i) q^{59} +(-3.75226 + 2.28635i) q^{60} +(3.24830 - 7.29580i) q^{61} +(-0.132808 + 0.0210348i) q^{62} +(2.36238 - 1.19129i) q^{63} +(-4.21625 - 5.80317i) q^{64} +(0.617692 - 0.0146107i) q^{65} +(0.198263 + 0.445306i) q^{66} +(7.64187 + 11.7675i) q^{67} +(2.74279 - 10.2362i) q^{68} +(1.78382 + 5.49004i) q^{69} +(0.766812 - 0.797274i) q^{70} +(-0.726690 + 2.23652i) q^{71} +(0.621774 + 0.403785i) q^{72} +(1.83153 - 2.26175i) q^{73} +(0.650683 + 0.375672i) q^{74} +(-1.56913 + 4.74740i) q^{75} +5.46026i q^{76} +(4.31823 + 5.37834i) q^{77} +(-0.0234557 - 0.0460345i) q^{78} +(-1.41838 - 6.67294i) q^{79} +(-8.23867 - 1.99999i) q^{80} +(0.978148 + 0.207912i) q^{81} +(-1.06035 - 0.284120i) q^{82} +(4.76207 - 9.34610i) q^{83} +(4.93780 + 1.62721i) q^{84} +(-5.16397 - 10.8974i) q^{85} +(0.789603 + 0.351554i) q^{86} +(3.00407 - 7.82586i) q^{87} +(-0.692635 + 1.80438i) q^{88} +(8.07959 + 3.59727i) q^{89} +(0.414659 - 0.0535237i) q^{90} +(-0.486907 - 0.545327i) q^{91} +(-5.14976 + 10.1070i) q^{92} +(-0.694633 - 0.186126i) q^{93} +(-1.38455 - 0.294294i) q^{94} +(4.02329 + 4.73488i) q^{95} +(0.455677 + 2.14379i) q^{96} +(8.88948 + 17.4466i) q^{97} +(-1.30644 - 0.0794129i) q^{98} +2.60696i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q + 12 q^{5} - 8 q^{7} + 24 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 640 q + 12 q^{5} - 8 q^{7} + 24 q^{8} + 12 q^{10} + 8 q^{15} - 80 q^{16} - 72 q^{22} + 48 q^{23} - 12 q^{25} - 36 q^{28} - 80 q^{29} + 32 q^{30} - 24 q^{32} + 36 q^{33} - 64 q^{35} + 160 q^{36} - 4 q^{37} - 192 q^{38} - 12 q^{40} - 16 q^{42} + 120 q^{43} + 60 q^{47} + 288 q^{50} - 432 q^{52} - 136 q^{53} - 16 q^{57} - 4 q^{58} - 240 q^{59} - 20 q^{60} - 4 q^{63} + 120 q^{64} + 4 q^{65} - 8 q^{67} - 132 q^{68} + 76 q^{70} - 12 q^{72} - 36 q^{73} - 48 q^{75} - 60 q^{77} - 80 q^{78} + 12 q^{80} - 80 q^{81} - 252 q^{82} - 160 q^{84} + 72 q^{85} + 24 q^{87} + 152 q^{88} + 56 q^{92} - 96 q^{93} + 172 q^{95} - 488 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(176\) \(451\)
\(\chi(n)\) \(e\left(\frac{1}{20}\right)\) \(1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0670074 0.174560i −0.0473814 0.123433i 0.907848 0.419300i \(-0.137725\pi\)
−0.955229 + 0.295868i \(0.904391\pi\)
\(3\) 0.0523360 0.998630i 0.0302162 0.576559i
\(4\) 1.46031 1.31487i 0.730154 0.657434i
\(5\) 0.297475 2.21619i 0.133035 0.991111i
\(6\) −0.177828 + 0.0577798i −0.0725980 + 0.0235885i
\(7\) −2.22491 + 1.43170i −0.840937 + 0.541132i
\(8\) −0.660575 0.336580i −0.233549 0.118999i
\(9\) −0.994522 0.104528i −0.331507 0.0348428i
\(10\) −0.406792 + 0.0965741i −0.128639 + 0.0305394i
\(11\) −0.272501 2.59268i −0.0821623 0.781722i −0.955576 0.294744i \(-0.904766\pi\)
0.873414 0.486978i \(-0.161901\pi\)
\(12\) −1.23664 1.52712i −0.356987 0.440842i
\(13\) 0.0432256 + 0.272915i 0.0119886 + 0.0756931i 0.992957 0.118473i \(-0.0377999\pi\)
−0.980969 + 0.194166i \(0.937800\pi\)
\(14\) 0.399004 + 0.292447i 0.106638 + 0.0781596i
\(15\) −2.19759 0.413054i −0.567414 0.106650i
\(16\) 0.396315 3.77068i 0.0990787 0.942671i
\(17\) 4.52290 2.93721i 1.09696 0.712377i 0.136461 0.990645i \(-0.456427\pi\)
0.960503 + 0.278268i \(0.0897604\pi\)
\(18\) 0.0483938 + 0.180608i 0.0114065 + 0.0425698i
\(19\) −1.85932 + 2.06498i −0.426557 + 0.473739i −0.917662 0.397361i \(-0.869926\pi\)
0.491106 + 0.871100i \(0.336593\pi\)
\(20\) −2.47959 3.62746i −0.554454 0.811126i
\(21\) 1.31330 + 2.29679i 0.286585 + 0.501201i
\(22\) −0.434319 + 0.221297i −0.0925972 + 0.0471806i
\(23\) −5.38916 + 2.06871i −1.12372 + 0.431355i −0.848060 0.529901i \(-0.822229\pi\)
−0.275658 + 0.961256i \(0.588896\pi\)
\(24\) −0.370690 + 0.642055i −0.0756669 + 0.131059i
\(25\) −4.82302 1.31852i −0.964604 0.263704i
\(26\) 0.0447438 0.0258328i 0.00877498 0.00506624i
\(27\) −0.156434 + 0.987688i −0.0301058 + 0.190081i
\(28\) −1.36656 + 5.01619i −0.258255 + 0.947971i
\(29\) 7.97236 + 2.59038i 1.48043 + 0.481021i 0.934241 0.356642i \(-0.116078\pi\)
0.546188 + 0.837662i \(0.316078\pi\)
\(30\) 0.0751519 + 0.411289i 0.0137208 + 0.0750908i
\(31\) 0.149517 0.703422i 0.0268540 0.126338i −0.962679 0.270647i \(-0.912762\pi\)
0.989533 + 0.144309i \(0.0460958\pi\)
\(32\) −2.11701 + 0.567250i −0.374237 + 0.100277i
\(33\) −2.60339 + 0.136438i −0.453191 + 0.0237508i
\(34\) −0.815788 0.592705i −0.139906 0.101648i
\(35\) 2.51107 + 5.35673i 0.424449 + 0.905452i
\(36\) −1.58975 + 1.15502i −0.264958 + 0.192503i
\(37\) −3.12283 + 2.52881i −0.513389 + 0.415735i −0.850694 0.525661i \(-0.823818\pi\)
0.337305 + 0.941396i \(0.390485\pi\)
\(38\) 0.485052 + 0.186194i 0.0786858 + 0.0302046i
\(39\) 0.274804 0.0288830i 0.0440038 0.00462499i
\(40\) −0.942430 + 1.36384i −0.149011 + 0.215642i
\(41\) 3.45088 4.74973i 0.538937 0.741783i −0.449522 0.893269i \(-0.648406\pi\)
0.988459 + 0.151486i \(0.0484058\pi\)
\(42\) 0.312928 0.383152i 0.0482859 0.0591216i
\(43\) −3.26866 + 3.26866i −0.498466 + 0.498466i −0.910960 0.412494i \(-0.864658\pi\)
0.412494 + 0.910960i \(0.364658\pi\)
\(44\) −3.80696 3.42781i −0.573921 0.516761i
\(45\) −0.527500 + 2.17296i −0.0786351 + 0.323925i
\(46\) 0.722228 + 0.802115i 0.106487 + 0.118265i
\(47\) 4.12304 6.34893i 0.601408 0.926086i −0.398552 0.917146i \(-0.630487\pi\)
0.999960 0.00894087i \(-0.00284600\pi\)
\(48\) −3.74478 0.593114i −0.540512 0.0856087i
\(49\) 2.90046 6.37082i 0.414351 0.910117i
\(50\) 0.0930164 + 0.930258i 0.0131545 + 0.131558i
\(51\) −2.69647 4.67043i −0.377581 0.653990i
\(52\) 0.421970 + 0.341705i 0.0585168 + 0.0473859i
\(53\) −1.07539 0.0563589i −0.147716 0.00774149i −0.0216656 0.999765i \(-0.506897\pi\)
−0.126051 + 0.992024i \(0.540230\pi\)
\(54\) 0.182894 0.0388752i 0.0248887 0.00529025i
\(55\) −5.82694 0.167340i −0.785704 0.0225642i
\(56\) 1.95160 0.196886i 0.260794 0.0263101i
\(57\) 1.96484 + 1.96484i 0.260250 + 0.260250i
\(58\) −0.0820303 1.56523i −0.0107711 0.205525i
\(59\) 6.14719 2.73691i 0.800296 0.356315i 0.0345055 0.999405i \(-0.489014\pi\)
0.765791 + 0.643090i \(0.222348\pi\)
\(60\) −3.75226 + 2.28635i −0.484415 + 0.295166i
\(61\) 3.24830 7.29580i 0.415902 0.934132i −0.577170 0.816624i \(-0.695843\pi\)
0.993072 0.117508i \(-0.0374904\pi\)
\(62\) −0.132808 + 0.0210348i −0.0168667 + 0.00267142i
\(63\) 2.36238 1.19129i 0.297631 0.150089i
\(64\) −4.21625 5.80317i −0.527031 0.725396i
\(65\) 0.617692 0.0146107i 0.0766152 0.00181224i
\(66\) 0.198263 + 0.445306i 0.0244045 + 0.0548133i
\(67\) 7.64187 + 11.7675i 0.933604 + 1.43762i 0.898864 + 0.438227i \(0.144393\pi\)
0.0347391 + 0.999396i \(0.488940\pi\)
\(68\) 2.74279 10.2362i 0.332613 1.24133i
\(69\) 1.78382 + 5.49004i 0.214747 + 0.660924i
\(70\) 0.766812 0.797274i 0.0916515 0.0952925i
\(71\) −0.726690 + 2.23652i −0.0862423 + 0.265426i −0.984873 0.173280i \(-0.944563\pi\)
0.898630 + 0.438707i \(0.144563\pi\)
\(72\) 0.621774 + 0.403785i 0.0732768 + 0.0475865i
\(73\) 1.83153 2.26175i 0.214365 0.264718i −0.658609 0.752485i \(-0.728855\pi\)
0.872974 + 0.487767i \(0.162188\pi\)
\(74\) 0.650683 + 0.375672i 0.0756404 + 0.0436710i
\(75\) −1.56913 + 4.74740i −0.181188 + 0.548183i
\(76\) 5.46026i 0.626335i
\(77\) 4.31823 + 5.37834i 0.492108 + 0.612918i
\(78\) −0.0234557 0.0460345i −0.00265584 0.00521238i
\(79\) −1.41838 6.67294i −0.159580 0.750764i −0.983040 0.183390i \(-0.941293\pi\)
0.823460 0.567374i \(-0.192041\pi\)
\(80\) −8.23867 1.99999i −0.921111 0.223606i
\(81\) 0.978148 + 0.207912i 0.108683 + 0.0231013i
\(82\) −1.06035 0.284120i −0.117096 0.0313758i
\(83\) 4.76207 9.34610i 0.522706 1.02587i −0.467202 0.884151i \(-0.654738\pi\)
0.989907 0.141717i \(-0.0452622\pi\)
\(84\) 4.93780 + 1.62721i 0.538758 + 0.177543i
\(85\) −5.16397 10.8974i −0.560111 1.18199i
\(86\) 0.789603 + 0.351554i 0.0851450 + 0.0379090i
\(87\) 3.00407 7.82586i 0.322070 0.839020i
\(88\) −0.692635 + 1.80438i −0.0738352 + 0.192347i
\(89\) 8.07959 + 3.59727i 0.856435 + 0.381310i 0.787502 0.616312i \(-0.211374\pi\)
0.0689330 + 0.997621i \(0.478041\pi\)
\(90\) 0.414659 0.0535237i 0.0437089 0.00564189i
\(91\) −0.486907 0.545327i −0.0510417 0.0571658i
\(92\) −5.14976 + 10.1070i −0.536900 + 1.05373i
\(93\) −0.694633 0.186126i −0.0720301 0.0193004i
\(94\) −1.38455 0.294294i −0.142805 0.0303541i
\(95\) 4.02329 + 4.73488i 0.412781 + 0.485789i
\(96\) 0.455677 + 2.14379i 0.0465073 + 0.218800i
\(97\) 8.88948 + 17.4466i 0.902590 + 1.77143i 0.548248 + 0.836316i \(0.315295\pi\)
0.354342 + 0.935116i \(0.384705\pi\)
\(98\) −1.30644 0.0794129i −0.131971 0.00802192i
\(99\) 2.60696i 0.262009i
\(100\) −8.77677 + 4.41618i −0.877677 + 0.441618i
\(101\) −13.3537 7.70974i −1.32874 0.767148i −0.343635 0.939103i \(-0.611658\pi\)
−0.985105 + 0.171955i \(0.944992\pi\)
\(102\) −0.634587 + 0.783650i −0.0628335 + 0.0775929i
\(103\) 5.93294 + 3.85289i 0.584590 + 0.379637i 0.802785 0.596268i \(-0.203350\pi\)
−0.218196 + 0.975905i \(0.570017\pi\)
\(104\) 0.0633041 0.194830i 0.00620748 0.0191047i
\(105\) 5.48080 2.22728i 0.534872 0.217360i
\(106\) 0.0622212 + 0.191497i 0.00604346 + 0.0185999i
\(107\) 0.0863954 0.322432i 0.00835216 0.0311707i −0.961624 0.274371i \(-0.911530\pi\)
0.969976 + 0.243200i \(0.0781971\pi\)
\(108\) 1.07024 + 1.64802i 0.102984 + 0.158581i
\(109\) 7.26444 + 16.3162i 0.695807 + 1.56281i 0.821161 + 0.570696i \(0.193327\pi\)
−0.125354 + 0.992112i \(0.540007\pi\)
\(110\) 0.361237 + 1.02837i 0.0344426 + 0.0980508i
\(111\) 2.36191 + 3.25089i 0.224183 + 0.308561i
\(112\) 4.51673 + 8.95684i 0.426791 + 0.846342i
\(113\) 3.89796 0.617376i 0.366689 0.0580778i 0.0296289 0.999561i \(-0.490567\pi\)
0.337060 + 0.941483i \(0.390567\pi\)
\(114\) 0.211324 0.474642i 0.0197923 0.0444543i
\(115\) 2.98151 + 12.5588i 0.278027 + 1.17111i
\(116\) 15.0481 6.69985i 1.39718 0.622065i
\(117\) −0.0144613 0.275939i −0.00133695 0.0255105i
\(118\) −0.889663 0.889663i −0.0819001 0.0819001i
\(119\) −5.85785 + 13.0105i −0.536988 + 1.19267i
\(120\) 1.31265 + 1.01252i 0.119828 + 0.0924297i
\(121\) 4.11190 0.874011i 0.373809 0.0794556i
\(122\) −1.49122 0.0781514i −0.135009 0.00707550i
\(123\) −4.56262 3.69473i −0.411397 0.333143i
\(124\) −0.706566 1.22381i −0.0634515 0.109901i
\(125\) −4.35682 + 10.2965i −0.389686 + 0.920948i
\(126\) −0.366249 0.332552i −0.0326281 0.0296261i
\(127\) −8.07840 1.27949i −0.716842 0.113537i −0.212650 0.977128i \(-0.568210\pi\)
−0.504192 + 0.863592i \(0.668210\pi\)
\(128\) −3.11784 + 4.80105i −0.275581 + 0.424357i
\(129\) 3.09311 + 3.43525i 0.272333 + 0.302457i
\(130\) −0.0439404 0.106845i −0.00385383 0.00937097i
\(131\) 3.79446 + 3.41654i 0.331523 + 0.298505i 0.818034 0.575170i \(-0.195064\pi\)
−0.486511 + 0.873675i \(0.661731\pi\)
\(132\) −3.62235 + 3.62235i −0.315285 + 0.315285i
\(133\) 1.18038 7.25639i 0.102352 0.629208i
\(134\) 1.54207 2.12248i 0.133214 0.183354i
\(135\) 2.14237 + 0.640501i 0.184386 + 0.0551256i
\(136\) −3.97632 + 0.417928i −0.340967 + 0.0358370i
\(137\) −8.31907 3.19339i −0.710746 0.272830i −0.0239844 0.999712i \(-0.507635\pi\)
−0.686762 + 0.726882i \(0.740969\pi\)
\(138\) 0.838815 0.679259i 0.0714046 0.0578223i
\(139\) 14.3628 10.4352i 1.21824 0.885103i 0.222287 0.974981i \(-0.428648\pi\)
0.995953 + 0.0898783i \(0.0286478\pi\)
\(140\) 10.7103 + 4.52074i 0.905188 + 0.382073i
\(141\) −6.12444 4.44967i −0.515771 0.374730i
\(142\) 0.439102 0.0230124i 0.0368486 0.00193115i
\(143\) 0.695803 0.186440i 0.0581860 0.0155909i
\(144\) −0.788288 + 3.70860i −0.0656906 + 0.309050i
\(145\) 8.11234 16.8977i 0.673694 1.40328i
\(146\) −0.517539 0.168159i −0.0428318 0.0139169i
\(147\) −6.21029 3.22991i −0.512216 0.266398i
\(148\) −1.23523 + 7.79895i −0.101535 + 0.641070i
\(149\) 4.51825 2.60861i 0.370149 0.213706i −0.303374 0.952871i \(-0.598113\pi\)
0.673524 + 0.739166i \(0.264780\pi\)
\(150\) 0.933852 0.0442029i 0.0762487 0.00360915i
\(151\) 1.08814 1.88471i 0.0885513 0.153375i −0.818348 0.574724i \(-0.805110\pi\)
0.906899 + 0.421348i \(0.138443\pi\)
\(152\) 1.92325 0.738266i 0.155996 0.0598813i
\(153\) −4.80515 + 2.44834i −0.388473 + 0.197937i
\(154\) 0.649491 1.11418i 0.0523375 0.0897833i
\(155\) −1.51444 0.540608i −0.121643 0.0434227i
\(156\) 0.363321 0.403509i 0.0290889 0.0323065i
\(157\) 2.95560 + 11.0305i 0.235883 + 0.880327i 0.977749 + 0.209779i \(0.0672744\pi\)
−0.741866 + 0.670548i \(0.766059\pi\)
\(158\) −1.06979 + 0.694729i −0.0851078 + 0.0552697i
\(159\) −0.112563 + 1.07097i −0.00892685 + 0.0849333i
\(160\) 0.627380 + 4.86043i 0.0495987 + 0.384251i
\(161\) 9.02864 12.3184i 0.711556 0.970823i
\(162\) −0.0292500 0.184677i −0.00229810 0.0145096i
\(163\) −12.7564 15.7528i −0.999155 1.23385i −0.972184 0.234217i \(-0.924747\pi\)
−0.0269708 0.999636i \(-0.508586\pi\)
\(164\) −1.20592 11.4735i −0.0941662 0.895932i
\(165\) −0.472069 + 5.81019i −0.0367506 + 0.452323i
\(166\) −1.95055 0.205011i −0.151392 0.0159120i
\(167\) 20.1880 + 10.2863i 1.56220 + 0.795979i 0.999529 0.0307042i \(-0.00977500\pi\)
0.562668 + 0.826683i \(0.309775\pi\)
\(168\) −0.0944776 1.95923i −0.00728910 0.151158i
\(169\) 12.2911 3.99363i 0.945471 0.307202i
\(170\) −1.55622 + 1.63163i −0.119357 + 0.125140i
\(171\) 2.06498 1.85932i 0.157913 0.142186i
\(172\) −0.475396 + 9.07110i −0.0362486 + 0.691665i
\(173\) −3.34014 8.70137i −0.253946 0.661553i 0.746044 0.665896i \(-0.231951\pi\)
−0.999991 + 0.00434356i \(0.998617\pi\)
\(174\) −1.56738 −0.118823
\(175\) 12.6185 3.97153i 0.953870 0.300219i
\(176\) −9.88417 −0.745047
\(177\) −2.41144 6.28201i −0.181255 0.472185i
\(178\) 0.0865473 1.65142i 0.00648699 0.123779i
\(179\) −14.7264 + 13.2597i −1.10070 + 0.991077i −0.999993 0.00383861i \(-0.998778\pi\)
−0.100710 + 0.994916i \(0.532111\pi\)
\(180\) 2.08684 + 3.86678i 0.155544 + 0.288213i
\(181\) −16.9820 + 5.51777i −1.26226 + 0.410133i −0.862299 0.506400i \(-0.830976\pi\)
−0.399960 + 0.916533i \(0.630976\pi\)
\(182\) −0.0625660 + 0.121536i −0.00463770 + 0.00900881i
\(183\) −7.11580 3.62568i −0.526015 0.268018i
\(184\) 4.25623 + 0.447348i 0.313773 + 0.0329789i
\(185\) 4.67538 + 7.67304i 0.343741 + 0.564133i
\(186\) 0.0140553 + 0.133727i 0.00103058 + 0.00980535i
\(187\) −8.84773 10.9260i −0.647010 0.798991i
\(188\) −2.32709 14.6926i −0.169720 1.07157i
\(189\) −1.06602 2.42149i −0.0775417 0.176137i
\(190\) 0.556932 1.01958i 0.0404041 0.0739681i
\(191\) −0.191101 + 1.81821i −0.0138276 + 0.131561i −0.999258 0.0385191i \(-0.987736\pi\)
0.985430 + 0.170080i \(0.0544026\pi\)
\(192\) −6.01588 + 3.90675i −0.434158 + 0.281946i
\(193\) 2.57660 + 9.61599i 0.185468 + 0.692174i 0.994530 + 0.104452i \(0.0333087\pi\)
−0.809062 + 0.587723i \(0.800025\pi\)
\(194\) 2.44982 2.72080i 0.175887 0.195342i
\(195\) 0.0177368 0.617610i 0.00127016 0.0442280i
\(196\) −4.14122 13.1171i −0.295801 0.936934i
\(197\) 10.0742 5.13307i 0.717758 0.365716i −0.0566571 0.998394i \(-0.518044\pi\)
0.774415 + 0.632678i \(0.218044\pi\)
\(198\) 0.455072 0.174686i 0.0323405 0.0124144i
\(199\) −11.0544 + 19.1468i −0.783627 + 1.35728i 0.146189 + 0.989257i \(0.453299\pi\)
−0.929816 + 0.368025i \(0.880034\pi\)
\(200\) 2.74218 + 2.49431i 0.193901 + 0.176375i
\(201\) 12.1513 7.01554i 0.857085 0.494838i
\(202\) −0.451021 + 2.84763i −0.0317337 + 0.200359i
\(203\) −21.4464 + 5.65068i −1.50524 + 0.396600i
\(204\) −10.0787 3.27476i −0.705648 0.229279i
\(205\) −9.49977 9.06074i −0.663492 0.632830i
\(206\) 0.275012 1.29383i 0.0191610 0.0901453i
\(207\) 5.57588 1.49405i 0.387550 0.103844i
\(208\) 1.04621 0.0548295i 0.0725415 0.00380174i
\(209\) 5.86050 + 4.25790i 0.405379 + 0.294525i
\(210\) −0.756050 0.807487i −0.0521724 0.0557219i
\(211\) −5.63257 + 4.09230i −0.387762 + 0.281726i −0.764538 0.644579i \(-0.777033\pi\)
0.376776 + 0.926305i \(0.377033\pi\)
\(212\) −1.64451 + 1.33170i −0.112945 + 0.0914613i
\(213\) 2.19543 + 0.842745i 0.150428 + 0.0577439i
\(214\) −0.0620730 + 0.00652414i −0.00424322 + 0.000445981i
\(215\) 6.27163 + 8.21632i 0.427722 + 0.560348i
\(216\) 0.435773 0.599790i 0.0296506 0.0408105i
\(217\) 0.674428 + 1.77911i 0.0457832 + 0.120774i
\(218\) 2.36139 2.36139i 0.159934 0.159934i
\(219\) −2.16280 1.94739i −0.146148 0.131593i
\(220\) −8.72915 + 7.41728i −0.588519 + 0.500073i
\(221\) 0.997114 + 1.10741i 0.0670732 + 0.0744923i
\(222\) 0.409211 0.630130i 0.0274645 0.0422916i
\(223\) −1.73204 0.274329i −0.115986 0.0183704i 0.0981715 0.995170i \(-0.468701\pi\)
−0.214158 + 0.976799i \(0.568701\pi\)
\(224\) 3.89802 4.29300i 0.260447 0.286838i
\(225\) 4.65877 + 1.81544i 0.310585 + 0.121029i
\(226\) −0.368961 0.639060i −0.0245429 0.0425096i
\(227\) −1.16324 0.941972i −0.0772068 0.0625209i 0.589940 0.807447i \(-0.299151\pi\)
−0.667147 + 0.744926i \(0.732485\pi\)
\(228\) 5.45278 + 0.285768i 0.361119 + 0.0189255i
\(229\) 15.5400 3.30312i 1.02691 0.218276i 0.336491 0.941687i \(-0.390760\pi\)
0.690418 + 0.723410i \(0.257427\pi\)
\(230\) 1.99249 1.36199i 0.131381 0.0898068i
\(231\) 5.59697 4.03084i 0.368253 0.265209i
\(232\) −4.39447 4.39447i −0.288511 0.288511i
\(233\) −0.984420 18.7839i −0.0644915 1.23057i −0.818811 0.574063i \(-0.805366\pi\)
0.754319 0.656508i \(-0.227967\pi\)
\(234\) −0.0471989 + 0.0210143i −0.00308549 + 0.00137375i
\(235\) −12.8439 11.0261i −0.837847 0.719263i
\(236\) 5.37813 12.0795i 0.350086 0.786307i
\(237\) −6.73803 + 1.06720i −0.437682 + 0.0693220i
\(238\) 2.66363 + 0.150750i 0.172658 + 0.00977167i
\(239\) 3.00525 + 4.13638i 0.194394 + 0.267560i 0.895076 0.445913i \(-0.147121\pi\)
−0.700683 + 0.713473i \(0.747121\pi\)
\(240\) −2.42843 + 8.12271i −0.156755 + 0.524318i
\(241\) −1.28992 2.89721i −0.0830911 0.186626i 0.867222 0.497922i \(-0.165903\pi\)
−0.950313 + 0.311296i \(0.899237\pi\)
\(242\) −0.428096 0.659210i −0.0275190 0.0423756i
\(243\) 0.258819 0.965926i 0.0166032 0.0619642i
\(244\) −4.84949 14.9252i −0.310457 0.955488i
\(245\) −13.2561 8.32313i −0.846904 0.531745i
\(246\) −0.339225 + 1.04403i −0.0216282 + 0.0665647i
\(247\) −0.643935 0.418176i −0.0409726 0.0266079i
\(248\) −0.335525 + 0.414339i −0.0213058 + 0.0263105i
\(249\) −9.08406 5.24468i −0.575679 0.332368i
\(250\) 2.08930 + 0.0705862i 0.132139 + 0.00446426i
\(251\) 20.5199i 1.29521i 0.761977 + 0.647604i \(0.224229\pi\)
−0.761977 + 0.647604i \(0.775771\pi\)
\(252\) 1.88341 4.84587i 0.118643 0.305261i
\(253\) 6.83204 + 13.4086i 0.429527 + 0.842994i
\(254\) 0.317964 + 1.49590i 0.0199508 + 0.0938614i
\(255\) −11.1527 + 4.58657i −0.698409 + 0.287222i
\(256\) −12.9857 2.76020i −0.811608 0.172513i
\(257\) −17.9796 4.81762i −1.12154 0.300515i −0.350031 0.936738i \(-0.613829\pi\)
−0.771505 + 0.636223i \(0.780496\pi\)
\(258\) 0.392397 0.770122i 0.0244295 0.0479457i
\(259\) 3.32750 10.0973i 0.206761 0.627418i
\(260\) 0.882809 0.833519i 0.0547495 0.0516926i
\(261\) −7.65791 3.40952i −0.474013 0.211044i
\(262\) 0.342136 0.891296i 0.0211373 0.0550644i
\(263\) −8.11969 + 21.1525i −0.500682 + 1.30432i 0.417686 + 0.908591i \(0.362841\pi\)
−0.918368 + 0.395729i \(0.870492\pi\)
\(264\) 1.76565 + 0.786120i 0.108669 + 0.0483823i
\(265\) −0.444804 + 2.36651i −0.0273241 + 0.145374i
\(266\) −1.34577 + 0.280185i −0.0825145 + 0.0171792i
\(267\) 4.01519 7.88026i 0.245726 0.482264i
\(268\) 26.6321 + 7.13606i 1.62682 + 0.435904i
\(269\) −10.0643 2.13924i −0.613632 0.130432i −0.109397 0.993998i \(-0.534892\pi\)
−0.504235 + 0.863567i \(0.668225\pi\)
\(270\) −0.0317488 0.416892i −0.00193217 0.0253712i
\(271\) 3.73190 + 17.5572i 0.226697 + 1.06652i 0.933351 + 0.358965i \(0.116870\pi\)
−0.706654 + 0.707559i \(0.749796\pi\)
\(272\) −9.28279 18.2185i −0.562852 1.10466i
\(273\) −0.570062 + 0.457699i −0.0345017 + 0.0277012i
\(274\) 1.66616i 0.100656i
\(275\) −2.10422 + 12.8638i −0.126890 + 0.775718i
\(276\) 9.82361 + 5.67167i 0.591312 + 0.341394i
\(277\) 8.23921 10.1746i 0.495046 0.611331i −0.466987 0.884264i \(-0.654660\pi\)
0.962033 + 0.272933i \(0.0879938\pi\)
\(278\) −2.78399 1.80794i −0.166973 0.108433i
\(279\) −0.222225 + 0.683940i −0.0133043 + 0.0409464i
\(280\) 0.144214 4.38370i 0.00861845 0.261976i
\(281\) 5.25652 + 16.1779i 0.313578 + 0.965093i 0.976336 + 0.216260i \(0.0693857\pi\)
−0.662758 + 0.748833i \(0.730614\pi\)
\(282\) −0.366352 + 1.36725i −0.0218160 + 0.0814183i
\(283\) −17.5648 27.0474i −1.04412 1.60780i −0.761038 0.648707i \(-0.775310\pi\)
−0.283082 0.959096i \(-0.591357\pi\)
\(284\) 1.87954 + 4.22151i 0.111530 + 0.250501i
\(285\) 4.93896 3.76998i 0.292559 0.223314i
\(286\) −0.0791690 0.108967i −0.00468136 0.00644334i
\(287\) −0.877706 + 15.5084i −0.0518093 + 0.915430i
\(288\) 2.16470 0.342855i 0.127556 0.0202029i
\(289\) 4.91494 11.0391i 0.289114 0.649360i
\(290\) −3.49326 0.283822i −0.205131 0.0166666i
\(291\) 17.8879 7.96421i 1.04861 0.466870i
\(292\) −0.299305 5.71108i −0.0175155 0.334216i
\(293\) −10.0216 10.0216i −0.585470 0.585470i 0.350931 0.936401i \(-0.385865\pi\)
−0.936401 + 0.350931i \(0.885865\pi\)
\(294\) −0.147678 + 1.30050i −0.00861276 + 0.0758466i
\(295\) −4.23688 14.4375i −0.246681 0.840585i
\(296\) 2.91401 0.619392i 0.169373 0.0360014i
\(297\) 2.60339 + 0.136438i 0.151064 + 0.00791692i
\(298\) −0.758116 0.613910i −0.0439165 0.0355629i
\(299\) −0.797531 1.38136i −0.0461224 0.0798864i
\(300\) 3.95079 + 8.99587i 0.228099 + 0.519377i
\(301\) 2.59273 11.9522i 0.149442 0.688914i
\(302\) −0.401909 0.0636561i −0.0231272 0.00366300i
\(303\) −8.39806 + 12.9319i −0.482456 + 0.742917i
\(304\) 7.04952 + 7.82928i 0.404317 + 0.449040i
\(305\) −15.2026 9.36917i −0.870499 0.536477i
\(306\) 0.749365 + 0.674731i 0.0428383 + 0.0385718i
\(307\) −8.46433 + 8.46433i −0.483085 + 0.483085i −0.906115 0.423031i \(-0.860966\pi\)
0.423031 + 0.906115i \(0.360966\pi\)
\(308\) 13.3778 + 2.17613i 0.762268 + 0.123996i
\(309\) 4.15812 5.72316i 0.236547 0.325579i
\(310\) 0.00710999 + 0.300586i 0.000403820 + 0.0170721i
\(311\) −7.03609 + 0.739523i −0.398980 + 0.0419345i −0.301894 0.953341i \(-0.597619\pi\)
−0.0970861 + 0.995276i \(0.530952\pi\)
\(312\) −0.191250 0.0734140i −0.0108274 0.00415625i
\(313\) 11.2697 9.12598i 0.636998 0.515831i −0.255542 0.966798i \(-0.582254\pi\)
0.892541 + 0.450967i \(0.148921\pi\)
\(314\) 1.72743 1.25505i 0.0974848 0.0708268i
\(315\) −1.93739 5.58986i −0.109159 0.314953i
\(316\) −10.8453 7.87957i −0.610096 0.443260i
\(317\) −18.0515 + 0.946038i −1.01387 + 0.0531348i −0.552027 0.833826i \(-0.686146\pi\)
−0.461845 + 0.886961i \(0.652812\pi\)
\(318\) 0.194491 0.0521138i 0.0109065 0.00292239i
\(319\) 4.54353 21.3756i 0.254389 1.19681i
\(320\) −14.1152 + 7.61772i −0.789061 + 0.425844i
\(321\) −0.317469 0.103152i −0.0177194 0.00575737i
\(322\) −2.75528 0.750620i −0.153546 0.0418304i
\(323\) −2.34423 + 14.8009i −0.130437 + 0.823544i
\(324\) 1.70177 0.982519i 0.0945430 0.0545844i
\(325\) 0.151367 1.37327i 0.00839636 0.0761753i
\(326\) −1.89504 + 3.28231i −0.104957 + 0.181790i
\(327\) 16.6740 6.40056i 0.922076 0.353952i
\(328\) −3.87823 + 1.97606i −0.214139 + 0.109109i
\(329\) −0.0836301 + 20.0288i −0.00461068 + 1.10422i
\(330\) 1.04586 0.306922i 0.0575728 0.0168955i
\(331\) −10.3308 + 11.4735i −0.567833 + 0.630642i −0.956848 0.290589i \(-0.906149\pi\)
0.389015 + 0.921231i \(0.372815\pi\)
\(332\) −5.33478 19.9097i −0.292784 1.09269i
\(333\) 3.37005 2.18854i 0.184678 0.119931i
\(334\) 0.442834 4.21329i 0.0242308 0.230541i
\(335\) 28.3522 13.4353i 1.54905 0.734051i
\(336\) 9.18096 4.04178i 0.500862 0.220497i
\(337\) −2.53676 16.0164i −0.138186 0.872471i −0.955223 0.295887i \(-0.904385\pi\)
0.817037 0.576585i \(-0.195615\pi\)
\(338\) −1.52073 1.87794i −0.0827166 0.102146i
\(339\) −0.412526 3.92493i −0.0224054 0.213173i
\(340\) −21.8696 9.12358i −1.18604 0.494796i
\(341\) −1.86449 0.195966i −0.100968 0.0106121i
\(342\) −0.462932 0.235876i −0.0250325 0.0127547i
\(343\) 2.66785 + 18.3271i 0.144050 + 0.989570i
\(344\) 3.25936 1.05903i 0.175733 0.0570991i
\(345\) 12.6976 2.32015i 0.683618 0.124912i
\(346\) −1.29510 + 1.16611i −0.0696250 + 0.0626906i
\(347\) 0.0570651 1.08887i 0.00306341 0.0584534i −0.996670 0.0815402i \(-0.974016\pi\)
0.999733 + 0.0230868i \(0.00734942\pi\)
\(348\) −5.90311 15.3781i −0.316440 0.824354i
\(349\) 2.68584 0.143770 0.0718849 0.997413i \(-0.477099\pi\)
0.0718849 + 0.997413i \(0.477099\pi\)
\(350\) −1.53881 1.93657i −0.0822526 0.103514i
\(351\) −0.276317 −0.0147487
\(352\) 2.04758 + 5.33414i 0.109137 + 0.284311i
\(353\) −0.402417 + 7.67858i −0.0214185 + 0.408690i 0.966790 + 0.255573i \(0.0822642\pi\)
−0.988208 + 0.153116i \(0.951069\pi\)
\(354\) −0.935005 + 0.841883i −0.0496950 + 0.0447456i
\(355\) 4.74039 + 2.27579i 0.251594 + 0.120787i
\(356\) 16.5286 5.37048i 0.876016 0.284635i
\(357\) 12.6861 + 6.53074i 0.671418 + 0.345643i
\(358\) 3.30140 + 1.68215i 0.174484 + 0.0889042i
\(359\) −28.3369 2.97833i −1.49556 0.157190i −0.678869 0.734259i \(-0.737530\pi\)
−0.816695 + 0.577069i \(0.804196\pi\)
\(360\) 1.07983 1.25786i 0.0569119 0.0662948i
\(361\) 1.17896 + 11.2170i 0.0620503 + 0.590369i
\(362\) 2.10110 + 2.59464i 0.110431 + 0.136371i
\(363\) −0.657613 4.15201i −0.0345158 0.217924i
\(364\) −1.42807 0.156127i −0.0748510 0.00818329i
\(365\) −4.46765 4.73184i −0.233847 0.247676i
\(366\) −0.156089 + 1.48508i −0.00815888 + 0.0776266i
\(367\) 16.4680 10.6944i 0.859622 0.558245i −0.0378664 0.999283i \(-0.512056\pi\)
0.897489 + 0.441038i \(0.145389\pi\)
\(368\) 5.66463 + 21.1407i 0.295289 + 1.10203i
\(369\) −3.92846 + 4.36300i −0.204507 + 0.227128i
\(370\) 1.02612 1.33029i 0.0533456 0.0691583i
\(371\) 2.47334 1.41425i 0.128409 0.0734240i
\(372\) −1.25911 + 0.641548i −0.0652818 + 0.0332627i
\(373\) −8.19566 + 3.14602i −0.424355 + 0.162895i −0.561168 0.827702i \(-0.689648\pi\)
0.136812 + 0.990597i \(0.456314\pi\)
\(374\) −1.31439 + 2.27659i −0.0679654 + 0.117720i
\(375\) 10.0544 + 4.88973i 0.519206 + 0.252505i
\(376\) −4.86050 + 2.80621i −0.250661 + 0.144719i
\(377\) −0.362344 + 2.28775i −0.0186617 + 0.117825i
\(378\) −0.351264 + 0.348343i −0.0180671 + 0.0179168i
\(379\) 25.7609 + 8.37022i 1.32325 + 0.429949i 0.883609 0.468225i \(-0.155106\pi\)
0.439639 + 0.898175i \(0.355106\pi\)
\(380\) 12.1010 + 1.62429i 0.620768 + 0.0833243i
\(381\) −1.70053 + 8.00037i −0.0871208 + 0.409871i
\(382\) 0.330192 0.0884748i 0.0168941 0.00452676i
\(383\) −27.9225 + 1.46335i −1.42677 + 0.0747739i −0.750009 0.661428i \(-0.769951\pi\)
−0.676762 + 0.736202i \(0.736618\pi\)
\(384\) 4.63129 + 3.36483i 0.236340 + 0.171711i
\(385\) 13.2040 7.97012i 0.672938 0.406195i
\(386\) 1.50592 1.09411i 0.0766493 0.0556890i
\(387\) 3.59242 2.90908i 0.182613 0.147877i
\(388\) 35.9213 + 13.7889i 1.82363 + 0.700025i
\(389\) −36.2698 + 3.81211i −1.83895 + 0.193282i −0.959310 0.282354i \(-0.908885\pi\)
−0.879642 + 0.475636i \(0.842218\pi\)
\(390\) −0.108999 + 0.0382883i −0.00551936 + 0.00193880i
\(391\) −18.2984 + 25.1856i −0.925392 + 1.27369i
\(392\) −4.06026 + 3.23217i −0.205074 + 0.163249i
\(393\) 3.61045 3.61045i 0.182123 0.182123i
\(394\) −1.57108 1.41460i −0.0791498 0.0712668i
\(395\) −15.2104 + 1.15837i −0.765321 + 0.0582837i
\(396\) 3.42781 + 3.80696i 0.172254 + 0.191307i
\(397\) −7.70597 + 11.8662i −0.386752 + 0.595545i −0.977404 0.211381i \(-0.932204\pi\)
0.590652 + 0.806926i \(0.298871\pi\)
\(398\) 4.08300 + 0.646684i 0.204662 + 0.0324153i
\(399\) −7.18466 1.55853i −0.359683 0.0780241i
\(400\) −6.88317 + 17.6635i −0.344158 + 0.883176i
\(401\) −11.4577 19.8453i −0.572170 0.991028i −0.996343 0.0854463i \(-0.972768\pi\)
0.424173 0.905581i \(-0.360565\pi\)
\(402\) −2.03886 1.65104i −0.101689 0.0823462i
\(403\) 0.198438 + 0.0103997i 0.00988488 + 0.000518045i
\(404\) −29.6378 + 6.29970i −1.47453 + 0.313422i
\(405\) 0.751746 2.10591i 0.0373546 0.104644i
\(406\) 2.42346 + 3.36506i 0.120274 + 0.167005i
\(407\) 7.40738 + 7.40738i 0.367170 + 0.367170i
\(408\) 0.209251 + 3.99274i 0.0103595 + 0.197670i
\(409\) 4.99646 2.22457i 0.247059 0.109998i −0.279471 0.960154i \(-0.590159\pi\)
0.526531 + 0.850156i \(0.323493\pi\)
\(410\) −0.945091 + 2.26542i −0.0466747 + 0.111881i
\(411\) −3.62440 + 8.14054i −0.178779 + 0.401543i
\(412\) 13.7300 2.17461i 0.676427 0.107135i
\(413\) −9.75852 + 14.8903i −0.480186 + 0.732705i
\(414\) −0.634428 0.873215i −0.0311804 0.0429162i
\(415\) −19.2962 13.3339i −0.947211 0.654535i
\(416\) −0.246320 0.553244i −0.0120768 0.0271250i
\(417\) −9.66922 14.8893i −0.473504 0.729132i
\(418\) 0.350564 1.30832i 0.0171466 0.0639921i
\(419\) −9.05965 27.8827i −0.442593 1.36216i −0.885102 0.465397i \(-0.845912\pi\)
0.442509 0.896764i \(-0.354088\pi\)
\(420\) 5.07508 10.4590i 0.247639 0.510349i
\(421\) −1.09507 + 3.37029i −0.0533706 + 0.164258i −0.974189 0.225734i \(-0.927522\pi\)
0.920818 + 0.389992i \(0.127522\pi\)
\(422\) 1.09178 + 0.709009i 0.0531470 + 0.0345140i
\(423\) −4.76410 + 5.88317i −0.231638 + 0.286050i
\(424\) 0.691408 + 0.399184i 0.0335777 + 0.0193861i
\(425\) −25.6868 + 8.20265i −1.24599 + 0.397887i
\(426\) 0.439704i 0.0213038i
\(427\) 3.21823 + 20.8831i 0.155741 + 1.01060i
\(428\) −0.297792 0.584449i −0.0143943 0.0282504i
\(429\) −0.149769 0.704607i −0.00723091 0.0340187i
\(430\) 1.01400 1.64533i 0.0488993 0.0793450i
\(431\) 4.30686 + 0.915451i 0.207454 + 0.0440957i 0.310466 0.950584i \(-0.399515\pi\)
−0.103012 + 0.994680i \(0.532848\pi\)
\(432\) 3.66226 + 0.981301i 0.176201 + 0.0472128i
\(433\) 15.4930 30.4067i 0.744545 1.46125i −0.137706 0.990473i \(-0.543973\pi\)
0.882251 0.470779i \(-0.156027\pi\)
\(434\) 0.265371 0.236942i 0.0127382 0.0113736i
\(435\) −16.4500 8.98558i −0.788716 0.430826i
\(436\) 32.0620 + 14.2749i 1.53549 + 0.683644i
\(437\) 5.74832 14.9749i 0.274980 0.716346i
\(438\) −0.195014 + 0.508029i −0.00931813 + 0.0242746i
\(439\) 13.8626 + 6.17204i 0.661627 + 0.294575i 0.709946 0.704257i \(-0.248720\pi\)
−0.0483183 + 0.998832i \(0.515386\pi\)
\(440\) 3.79281 + 2.07177i 0.180815 + 0.0987678i
\(441\) −3.55050 + 6.03274i −0.169072 + 0.287273i
\(442\) 0.126495 0.248261i 0.00601677 0.0118086i
\(443\) 36.2199 + 9.70509i 1.72086 + 0.461103i 0.978045 0.208395i \(-0.0668240\pi\)
0.742814 + 0.669498i \(0.233491\pi\)
\(444\) 7.72362 + 1.64171i 0.366547 + 0.0779119i
\(445\) 10.3757 16.8358i 0.491856 0.798095i
\(446\) 0.0681729 + 0.320728i 0.00322808 + 0.0151869i
\(447\) −2.36857 4.64858i −0.112029 0.219870i
\(448\) 17.6892 + 6.87512i 0.835735 + 0.324819i
\(449\) 31.6248i 1.49247i 0.665683 + 0.746234i \(0.268140\pi\)
−0.665683 + 0.746234i \(0.731860\pi\)
\(450\) 0.00473168 0.934885i 0.000223053 0.0440709i
\(451\) −13.2549 7.65272i −0.624148 0.360352i
\(452\) 4.88045 6.02686i 0.229557 0.283479i
\(453\) −1.82518 1.18528i −0.0857543 0.0556895i
\(454\) −0.0864853 + 0.266174i −0.00405896 + 0.0124922i
\(455\) −1.35339 + 0.916858i −0.0634479 + 0.0429830i
\(456\) −0.636599 1.95925i −0.0298115 0.0917504i
\(457\) 0.232885 0.869140i 0.0108939 0.0406567i −0.960265 0.279090i \(-0.909967\pi\)
0.971159 + 0.238433i \(0.0766339\pi\)
\(458\) −1.61789 2.49133i −0.0755989 0.116412i
\(459\) 2.19351 + 4.92670i 0.102384 + 0.229959i
\(460\) 20.8671 + 14.4194i 0.972933 + 0.672310i
\(461\) 6.16399 + 8.48401i 0.287086 + 0.395140i 0.928065 0.372419i \(-0.121471\pi\)
−0.640979 + 0.767558i \(0.721471\pi\)
\(462\) −1.07866 0.706912i −0.0501839 0.0328885i
\(463\) −4.76895 + 0.755327i −0.221632 + 0.0351030i −0.266263 0.963901i \(-0.585789\pi\)
0.0446308 + 0.999004i \(0.485789\pi\)
\(464\) 12.9271 29.0346i 0.600123 1.34790i
\(465\) −0.619127 + 1.48407i −0.0287113 + 0.0688222i
\(466\) −3.21295 + 1.43050i −0.148837 + 0.0662666i
\(467\) −0.288789 5.51043i −0.0133636 0.254992i −0.997139 0.0755884i \(-0.975916\pi\)
0.983776 0.179404i \(-0.0574168\pi\)
\(468\) −0.383941 0.383941i −0.0177477 0.0177477i
\(469\) −33.8500 15.2407i −1.56305 0.703748i
\(470\) −1.06408 + 2.98087i −0.0490824 + 0.137497i
\(471\) 11.1700 2.37426i 0.514688 0.109400i
\(472\) −4.98187 0.261089i −0.229309 0.0120176i
\(473\) 9.36529 + 7.58387i 0.430617 + 0.348707i
\(474\) 0.637788 + 1.10468i 0.0292946 + 0.0507397i
\(475\) 11.6902 7.50789i 0.536385 0.344485i
\(476\) 8.55278 + 26.7016i 0.392016 + 1.22387i
\(477\) 1.06361 + 0.168459i 0.0486993 + 0.00771322i
\(478\) 0.520673 0.801766i 0.0238150 0.0366719i
\(479\) 25.7989 + 28.6526i 1.17878 + 1.30917i 0.941219 + 0.337797i \(0.109682\pi\)
0.237562 + 0.971372i \(0.423652\pi\)
\(480\) 4.88661 0.372144i 0.223042 0.0169860i
\(481\) −0.825138 0.742958i −0.0376231 0.0338760i
\(482\) −0.419303 + 0.419303i −0.0190987 + 0.0190987i
\(483\) −11.8290 9.66096i −0.538236 0.439589i
\(484\) 4.85543 6.68293i 0.220702 0.303770i
\(485\) 41.3094 14.5109i 1.87576 0.658905i
\(486\) −0.185955 + 0.0195447i −0.00843510 + 0.000886564i
\(487\) 31.2150 + 11.9823i 1.41448 + 0.542970i 0.941173 0.337925i \(-0.109725\pi\)
0.473312 + 0.880895i \(0.343058\pi\)
\(488\) −4.60137 + 3.72611i −0.208294 + 0.168673i
\(489\) −16.3988 + 11.9144i −0.741580 + 0.538789i
\(490\) −0.564629 + 2.87171i −0.0255073 + 0.129731i
\(491\) 0.804141 + 0.584242i 0.0362904 + 0.0263665i 0.605783 0.795630i \(-0.292860\pi\)
−0.569492 + 0.821997i \(0.692860\pi\)
\(492\) −11.5209 + 0.603785i −0.519403 + 0.0272207i
\(493\) 43.6667 11.7004i 1.96665 0.526962i
\(494\) −0.0298486 + 0.140426i −0.00134295 + 0.00631809i
\(495\) 5.77752 + 0.775504i 0.259680 + 0.0348563i
\(496\) −2.59313 0.842558i −0.116435 0.0378320i
\(497\) −1.58521 6.01647i −0.0711065 0.269875i
\(498\) −0.306814 + 1.93715i −0.0137487 + 0.0868058i
\(499\) −36.2059 + 20.9035i −1.62080 + 0.935769i −0.634094 + 0.773256i \(0.718627\pi\)
−0.986706 + 0.162513i \(0.948040\pi\)
\(500\) 7.17624 + 20.7647i 0.320931 + 0.928627i
\(501\) 11.3288 19.6220i 0.506132 0.876647i
\(502\) 3.58197 1.37499i 0.159871 0.0613688i
\(503\) −6.02758 + 3.07121i −0.268756 + 0.136938i −0.583176 0.812346i \(-0.698190\pi\)
0.314419 + 0.949284i \(0.398190\pi\)
\(504\) −1.96149 0.00819021i −0.0873718 0.000364821i
\(505\) −21.0587 + 27.3008i −0.937098 + 1.21487i
\(506\) 1.88282 2.09108i 0.0837015 0.0929599i
\(507\) −3.34489 12.4833i −0.148552 0.554402i
\(508\) −13.4793 + 8.75357i −0.598048 + 0.388377i
\(509\) −0.0787569 + 0.749322i −0.00349084 + 0.0332131i −0.996129 0.0879073i \(-0.971982\pi\)
0.992638 + 0.121120i \(0.0386487\pi\)
\(510\) 1.54795 + 1.63948i 0.0685442 + 0.0725976i
\(511\) −0.836839 + 7.65441i −0.0370196 + 0.338611i
\(512\) 2.17937 + 13.7600i 0.0963153 + 0.608111i
\(513\) −1.74870 2.15946i −0.0772068 0.0953425i
\(514\) 0.363801 + 3.46134i 0.0160466 + 0.152673i
\(515\) 10.3037 12.0024i 0.454033 0.528888i
\(516\) 9.03379 + 0.949490i 0.397690 + 0.0417990i
\(517\) −17.5843 8.95963i −0.773355 0.394044i
\(518\) −1.98556 + 0.0957473i −0.0872406 + 0.00420689i
\(519\) −8.86425 + 2.88017i −0.389098 + 0.126425i
\(520\) −0.412949 0.198251i −0.0181090 0.00869388i
\(521\) 9.03159 8.13208i 0.395681 0.356273i −0.447142 0.894463i \(-0.647558\pi\)
0.842824 + 0.538190i \(0.180892\pi\)
\(522\) −0.0820303 + 1.56523i −0.00359037 + 0.0685083i
\(523\) 10.4610 + 27.2518i 0.457427 + 1.19164i 0.947443 + 0.319925i \(0.103658\pi\)
−0.490015 + 0.871714i \(0.663009\pi\)
\(524\) 10.0334 0.438310
\(525\) −3.30568 12.8091i −0.144272 0.559034i
\(526\) 4.23647 0.184719
\(527\) −1.38985 3.62067i −0.0605426 0.157719i
\(528\) −0.517297 + 9.87062i −0.0225125 + 0.429564i
\(529\) 7.67119 6.90717i 0.333530 0.300312i
\(530\) 0.442904 0.0809286i 0.0192385 0.00351532i
\(531\) −6.39960 + 2.07936i −0.277719 + 0.0902364i
\(532\) −7.81747 12.1486i −0.338930 0.526709i
\(533\) 1.44544 + 0.736489i 0.0626090 + 0.0319009i
\(534\) −1.64463 0.172857i −0.0711700 0.00748027i
\(535\) −0.688871 0.287384i −0.0297825 0.0124247i
\(536\) −1.08734 10.3454i −0.0469661 0.446853i
\(537\) 12.4708 + 15.4002i 0.538155 + 0.664567i
\(538\) 0.300958 + 1.90018i 0.0129752 + 0.0819224i
\(539\) −17.3079 5.78390i −0.745502 0.249130i
\(540\) 3.97070 1.88161i 0.170872 0.0809714i
\(541\) −3.02987 + 28.8273i −0.130264 + 1.23938i 0.712722 + 0.701447i \(0.247462\pi\)
−0.842986 + 0.537936i \(0.819204\pi\)
\(542\) 2.81473 1.82791i 0.120903 0.0785153i
\(543\) 4.62144 + 17.2475i 0.198325 + 0.740159i
\(544\) −7.90888 + 8.78370i −0.339090 + 0.376598i
\(545\) 38.3208 11.2457i 1.64148 0.481715i
\(546\) 0.118095 + 0.0688410i 0.00505398 + 0.00294612i
\(547\) −15.9880 + 8.14631i −0.683599 + 0.348311i −0.761057 0.648685i \(-0.775319\pi\)
0.0774585 + 0.996996i \(0.475319\pi\)
\(548\) −16.3473 + 6.27514i −0.698322 + 0.268061i
\(549\) −3.99312 + 6.91630i −0.170422 + 0.295180i
\(550\) 2.38651 0.494658i 0.101761 0.0210923i
\(551\) −20.1722 + 11.6464i −0.859365 + 0.496155i
\(552\) 0.669489 4.22699i 0.0284953 0.179912i
\(553\) 12.7094 + 12.8160i 0.540460 + 0.544992i
\(554\) −2.32817 0.756467i −0.0989143 0.0321392i
\(555\) 7.90722 4.26739i 0.335643 0.181141i
\(556\) 7.25325 34.1238i 0.307606 1.44717i
\(557\) 41.7258 11.1804i 1.76798 0.473729i 0.779670 0.626190i \(-0.215387\pi\)
0.988309 + 0.152462i \(0.0487200\pi\)
\(558\) 0.134280 0.00703729i 0.00568450 0.000297912i
\(559\) −1.03336 0.750778i −0.0437063 0.0317545i
\(560\) 21.1937 7.34551i 0.895597 0.310404i
\(561\) −11.3741 + 8.26378i −0.480216 + 0.348897i
\(562\) 2.47180 2.00162i 0.104266 0.0844333i
\(563\) 1.47410 + 0.565854i 0.0621259 + 0.0238479i 0.389232 0.921140i \(-0.372740\pi\)
−0.327107 + 0.944987i \(0.606074\pi\)
\(564\) −14.7943 + 1.55494i −0.622952 + 0.0654749i
\(565\) −0.208680 8.82228i −0.00877923 0.371156i
\(566\) −3.54444 + 4.87850i −0.148984 + 0.205059i
\(567\) −2.47396 + 0.937831i −0.103897 + 0.0393852i
\(568\) 1.23280 1.23280i 0.0517272 0.0517272i
\(569\) 6.47761 + 5.83246i 0.271555 + 0.244510i 0.793645 0.608381i \(-0.208181\pi\)
−0.522090 + 0.852891i \(0.674847\pi\)
\(570\) −0.989035 0.609530i −0.0414261 0.0255304i
\(571\) −30.2196 33.5623i −1.26465 1.40454i −0.875396 0.483406i \(-0.839399\pi\)
−0.389254 0.921130i \(-0.627267\pi\)
\(572\) 0.770943 1.18715i 0.0322347 0.0496372i
\(573\) 1.80572 + 0.285997i 0.0754349 + 0.0119477i
\(574\) 2.76596 0.885963i 0.115449 0.0369794i
\(575\) 28.7197 2.87167i 1.19769 0.119757i
\(576\) 3.58655 + 6.21209i 0.149440 + 0.258837i
\(577\) −16.9503 13.7261i −0.705651 0.571425i 0.207900 0.978150i \(-0.433337\pi\)
−0.913550 + 0.406725i \(0.866671\pi\)
\(578\) −2.25633 0.118249i −0.0938510 0.00491852i
\(579\) 9.73766 2.06980i 0.404683 0.0860181i
\(580\) −10.3717 35.3425i −0.430662 1.46752i
\(581\) 2.78563 + 27.6121i 0.115568 + 1.14554i
\(582\) −2.58886 2.58886i −0.107312 0.107312i
\(583\) 0.146925 + 2.80350i 0.00608503 + 0.116109i
\(584\) −1.97113 + 0.877601i −0.0815657 + 0.0363154i
\(585\) −0.615835 0.0500357i −0.0254616 0.00206872i
\(586\) −1.07786 + 2.42090i −0.0445258 + 0.100007i
\(587\) −30.7247 + 4.86631i −1.26814 + 0.200854i −0.754014 0.656859i \(-0.771885\pi\)
−0.514129 + 0.857713i \(0.671885\pi\)
\(588\) −13.3158 + 3.44905i −0.549136 + 0.142236i
\(589\) 1.17455 + 1.61663i 0.0483966 + 0.0666122i
\(590\) −2.23632 + 1.70701i −0.0920677 + 0.0702766i
\(591\) −4.59879 10.3291i −0.189169 0.424880i
\(592\) 8.29774 + 12.7774i 0.341035 + 0.525148i
\(593\) 3.06428 11.4360i 0.125835 0.469622i −0.874033 0.485866i \(-0.838504\pi\)
0.999868 + 0.0162440i \(0.00517086\pi\)
\(594\) −0.150630 0.463590i −0.00618041 0.0190213i
\(595\) 27.0911 + 16.8524i 1.11063 + 0.690881i
\(596\) 3.16806 9.75027i 0.129769 0.399387i
\(597\) 18.5420 + 12.0413i 0.758875 + 0.492819i
\(598\) −0.187691 + 0.231779i −0.00767525 + 0.00947815i
\(599\) −9.45462 5.45863i −0.386305 0.223033i 0.294253 0.955728i \(-0.404929\pi\)
−0.680558 + 0.732694i \(0.738263\pi\)
\(600\) 2.63441 2.60788i 0.107549 0.106466i
\(601\) 47.3523i 1.93154i 0.259398 + 0.965771i \(0.416476\pi\)
−0.259398 + 0.965771i \(0.583524\pi\)
\(602\) −2.26012 + 0.348300i −0.0921155 + 0.0141956i
\(603\) −6.36998 12.5018i −0.259406 0.509112i
\(604\) −0.889127 4.18301i −0.0361780 0.170204i
\(605\) −0.713791 9.37276i −0.0290197 0.381057i
\(606\) 2.82012 + 0.599436i 0.114560 + 0.0243504i
\(607\) −15.5536 4.16758i −0.631302 0.169157i −0.0710415 0.997473i \(-0.522632\pi\)
−0.560260 + 0.828316i \(0.689299\pi\)
\(608\) 2.76482 5.42627i 0.112128 0.220064i
\(609\) 4.52052 + 21.7128i 0.183181 + 0.879846i
\(610\) −0.616798 + 3.28158i −0.0249734 + 0.132867i
\(611\) 1.91094 + 0.850806i 0.0773084 + 0.0344199i
\(612\) −3.79775 + 9.89347i −0.153515 + 0.399920i
\(613\) −9.25246 + 24.1035i −0.373703 + 0.973530i 0.609786 + 0.792566i \(0.291255\pi\)
−0.983490 + 0.180965i \(0.942078\pi\)
\(614\) 2.04471 + 0.910363i 0.0825177 + 0.0367393i
\(615\) −9.54550 + 9.01255i −0.384912 + 0.363421i
\(616\) −1.04228 5.00623i −0.0419946 0.201707i
\(617\) 8.89675 17.4609i 0.358170 0.702948i −0.639669 0.768650i \(-0.720929\pi\)
0.997839 + 0.0657023i \(0.0209288\pi\)
\(618\) −1.27766 0.342348i −0.0513951 0.0137713i
\(619\) 8.32194 + 1.76888i 0.334487 + 0.0710974i 0.372094 0.928195i \(-0.378640\pi\)
−0.0376066 + 0.999293i \(0.511973\pi\)
\(620\) −2.92238 + 1.20183i −0.117366 + 0.0482668i
\(621\) −1.20019 5.64643i −0.0481618 0.226583i
\(622\) 0.600562 + 1.17867i 0.0240803 + 0.0472603i
\(623\) −23.1266 + 3.56397i −0.926547 + 0.142787i
\(624\) 1.04764i 0.0419394i
\(625\) 21.5230 + 12.7185i 0.860920 + 0.508740i
\(626\) −2.34819 1.35573i −0.0938524 0.0541857i
\(627\) 4.55878 5.62962i 0.182060 0.224826i
\(628\) 18.8197 + 12.2217i 0.750988 + 0.487697i
\(629\) −6.69658 + 20.6100i −0.267010 + 0.821773i
\(630\) −0.845949 + 0.712753i −0.0337034 + 0.0283968i
\(631\) −10.1118 31.1209i −0.402544 1.23890i −0.922929 0.384970i \(-0.874212\pi\)
0.520385 0.853932i \(-0.325788\pi\)
\(632\) −1.30903 + 4.88537i −0.0520705 + 0.194330i
\(633\) 3.79191 + 5.83903i 0.150715 + 0.232081i
\(634\) 1.37472 + 3.08768i 0.0545973 + 0.122627i
\(635\) −5.23872 + 17.5227i −0.207892 + 0.695366i
\(636\) 1.24380 + 1.71195i 0.0493201 + 0.0678832i
\(637\) 1.86407 + 0.516198i 0.0738571 + 0.0204525i
\(638\) −4.03579 + 0.639206i −0.159778 + 0.0253064i
\(639\) 0.956490 2.14831i 0.0378381 0.0849859i
\(640\) 9.71257 + 8.33792i 0.383923 + 0.329585i
\(641\) 6.46950 2.88041i 0.255530 0.113769i −0.274974 0.961452i \(-0.588669\pi\)
0.530504 + 0.847682i \(0.322003\pi\)
\(642\) 0.00326654 + 0.0623294i 0.000128920 + 0.00245994i
\(643\) 7.85246 + 7.85246i 0.309671 + 0.309671i 0.844782 0.535111i \(-0.179730\pi\)
−0.535111 + 0.844782i \(0.679730\pi\)
\(644\) −3.01242 29.8601i −0.118706 1.17665i
\(645\) 8.53329 5.83303i 0.335998 0.229675i
\(646\) 2.74073 0.582561i 0.107833 0.0229205i
\(647\) 4.73051 + 0.247915i 0.185975 + 0.00974656i 0.145096 0.989418i \(-0.453651\pi\)
0.0408791 + 0.999164i \(0.486984\pi\)
\(648\) −0.576161 0.466566i −0.0226337 0.0183284i
\(649\) −8.77104 15.1919i −0.344293 0.596334i
\(650\) −0.249861 + 0.0655965i −0.00980036 + 0.00257291i
\(651\) 1.81197 0.580393i 0.0710168 0.0227474i
\(652\) −39.3410 6.23101i −1.54071 0.244025i
\(653\) −3.55213 + 5.46979i −0.139005 + 0.214050i −0.901316 0.433161i \(-0.857398\pi\)
0.762311 + 0.647211i \(0.224065\pi\)
\(654\) −2.23457 2.48174i −0.0873785 0.0970437i
\(655\) 8.70048 7.39291i 0.339956 0.288865i
\(656\) −16.5421 14.8946i −0.645860 0.581535i
\(657\) −2.05792 + 2.05792i −0.0802870 + 0.0802870i
\(658\) 3.50183 1.32748i 0.136516 0.0517505i
\(659\) 6.62055 9.11240i 0.257900 0.354969i −0.660358 0.750951i \(-0.729596\pi\)
0.918258 + 0.395982i \(0.129596\pi\)
\(660\) 6.95027 + 9.10538i 0.270539 + 0.354426i
\(661\) −35.1422 + 3.69360i −1.36687 + 0.143664i −0.759374 0.650655i \(-0.774495\pi\)
−0.607501 + 0.794319i \(0.707828\pi\)
\(662\) 2.69506 + 1.03454i 0.104747 + 0.0402085i
\(663\) 1.15807 0.937790i 0.0449759 0.0364208i
\(664\) −6.29142 + 4.57098i −0.244154 + 0.177388i
\(665\) −15.7304 4.77454i −0.609999 0.185149i
\(666\) −0.607850 0.441629i −0.0235537 0.0171128i
\(667\) −48.3230 + 2.53250i −1.87108 + 0.0980589i
\(668\) 43.0059 11.5234i 1.66395 0.445853i
\(669\) −0.364601 + 1.71531i −0.0140963 + 0.0663178i
\(670\) −4.24509 4.04890i −0.164002 0.156423i
\(671\) −19.8008 6.43368i −0.764403 0.248369i
\(672\) −4.08311 4.11735i −0.157509 0.158830i
\(673\) 6.39172 40.3558i 0.246383 1.55560i −0.485541 0.874214i \(-0.661377\pi\)
0.731924 0.681386i \(-0.238623\pi\)
\(674\) −2.62586 + 1.51604i −0.101144 + 0.0583956i
\(675\) 2.05678 4.55738i 0.0791653 0.175413i
\(676\) 12.6977 21.9931i 0.488374 0.845889i
\(677\) −16.4969 + 6.33256i −0.634027 + 0.243380i −0.654088 0.756419i \(-0.726947\pi\)
0.0200608 + 0.999799i \(0.493614\pi\)
\(678\) −0.657494 + 0.335010i −0.0252509 + 0.0128660i
\(679\) −44.7566 26.0900i −1.71760 1.00124i
\(680\) −0.256646 + 8.93662i −0.00984191 + 0.342704i
\(681\) −1.00156 + 1.11235i −0.0383799 + 0.0426252i
\(682\) 0.0907268 + 0.338597i 0.00347411 + 0.0129656i
\(683\) 24.5012 15.9112i 0.937511 0.608827i 0.0171315 0.999853i \(-0.494547\pi\)
0.920379 + 0.391027i \(0.127880\pi\)
\(684\) 0.570753 5.43035i 0.0218233 0.207635i
\(685\) −9.55189 + 17.4867i −0.364959 + 0.668133i
\(686\) 3.02042 1.69375i 0.115320 0.0646678i
\(687\) −2.48529 15.6915i −0.0948199 0.598669i
\(688\) 11.0297 + 13.6205i 0.420502 + 0.519277i
\(689\) −0.0311032 0.295927i −0.00118494 0.0112739i
\(690\) −1.25584 2.06104i −0.0478091 0.0784623i
\(691\) −34.6364 3.64043i −1.31763 0.138488i −0.580511 0.814252i \(-0.697147\pi\)
−0.737118 + 0.675764i \(0.763814\pi\)
\(692\) −16.3188 8.31484i −0.620347 0.316083i
\(693\) −3.73239 5.80025i −0.141782 0.220333i
\(694\) −0.193897 + 0.0630008i −0.00736022 + 0.00239148i
\(695\) −18.8539 34.9350i −0.715167 1.32516i
\(696\) −4.61844 + 4.15846i −0.175061 + 0.157626i
\(697\) 1.65706 31.6185i 0.0627655 1.19764i
\(698\) −0.179971 0.468841i −0.00681201 0.0177459i
\(699\) −18.8096 −0.711446
\(700\) 13.2049 22.3913i 0.499098 0.846313i
\(701\) 38.7867 1.46495 0.732477 0.680792i \(-0.238364\pi\)
0.732477 + 0.680792i \(0.238364\pi\)
\(702\) 0.0185153 + 0.0482341i 0.000698816 + 0.00182048i
\(703\) 0.584370 11.1504i 0.0220399 0.420547i
\(704\) −13.8968 + 12.5127i −0.523756 + 0.471592i
\(705\) −11.6832 + 12.2493i −0.440014 + 0.461335i
\(706\) 1.36734 0.444276i 0.0514605 0.0167205i
\(707\) 40.7488 1.96498i 1.53252 0.0739006i
\(708\) −11.7814 6.00295i −0.442774 0.225605i
\(709\) 39.3668 + 4.13762i 1.47845 + 0.155392i 0.809152 0.587600i \(-0.199927\pi\)
0.669301 + 0.742991i \(0.266594\pi\)
\(710\) 0.0796219 0.979980i 0.00298816 0.0367780i
\(711\) 0.713095 + 6.78464i 0.0267431 + 0.254444i
\(712\) −4.12641 5.09569i −0.154644 0.190969i
\(713\) 0.649402 + 4.10016i 0.0243203 + 0.153552i
\(714\) 0.289947 2.65209i 0.0108510 0.0992521i
\(715\) −0.206203 1.59749i −0.00771155 0.0597429i
\(716\) −4.07032 + 38.7265i −0.152115 + 1.44728i
\(717\) 4.28799 2.78465i 0.160138 0.103995i
\(718\) 1.37889 + 5.14607i 0.0514595 + 0.192050i
\(719\) −4.21421 + 4.68035i −0.157163 + 0.174548i −0.816584 0.577226i \(-0.804135\pi\)
0.659421 + 0.751774i \(0.270802\pi\)
\(720\) 7.98448 + 2.85021i 0.297564 + 0.106221i
\(721\) −18.7165 0.0781505i −0.697037 0.00291048i
\(722\) 1.87905 0.957422i 0.0699309 0.0356316i
\(723\) −2.96075 + 1.13652i −0.110111 + 0.0422678i
\(724\) −17.5437 + 30.3867i −0.652008 + 1.12931i
\(725\) −35.0353 23.0052i −1.30118 0.854390i
\(726\) −0.680711 + 0.393009i −0.0252636 + 0.0145859i
\(727\) −2.23769 + 14.1282i −0.0829914 + 0.523987i 0.910811 + 0.412824i \(0.135458\pi\)
−0.993802 + 0.111163i \(0.964542\pi\)
\(728\) 0.138092 + 0.524112i 0.00511805 + 0.0194249i
\(729\) −0.951057 0.309017i −0.0352243 0.0114451i
\(730\) −0.526626 + 1.09694i −0.0194913 + 0.0405997i
\(731\) −5.18310 + 24.3845i −0.191704 + 0.901895i
\(732\) −15.1586 + 4.06172i −0.560276 + 0.150126i
\(733\) 37.0756 1.94305i 1.36942 0.0717682i 0.646612 0.762819i \(-0.276185\pi\)
0.722806 + 0.691051i \(0.242852\pi\)
\(734\) −2.97030 2.15805i −0.109636 0.0796551i
\(735\) −9.00550 + 12.8024i −0.332173 + 0.472223i
\(736\) 10.2354 7.43646i 0.377282 0.274112i
\(737\) 28.4268 23.0196i 1.04711 0.847937i
\(738\) 1.02484 + 0.393400i 0.0377250 + 0.0144813i
\(739\) −2.27851 + 0.239481i −0.0838162 + 0.00880944i −0.146344 0.989234i \(-0.546751\pi\)
0.0625275 + 0.998043i \(0.480084\pi\)
\(740\) 16.9165 + 5.05750i 0.621864 + 0.185918i
\(741\) −0.451304 + 0.621167i −0.0165791 + 0.0228191i
\(742\) −0.412604 0.336982i −0.0151472 0.0123710i
\(743\) 22.1491 22.1491i 0.812572 0.812572i −0.172447 0.985019i \(-0.555167\pi\)
0.985019 + 0.172447i \(0.0551673\pi\)
\(744\) 0.396211 + 0.356750i 0.0145258 + 0.0130791i
\(745\) −4.43712 10.7893i −0.162564 0.395289i
\(746\) 1.09834 + 1.21983i 0.0402131 + 0.0446612i
\(747\) −5.71292 + 8.79713i −0.209025 + 0.321870i
\(748\) −27.2867 4.32179i −0.997701 0.158020i
\(749\) 0.269405 + 0.841075i 0.00984383 + 0.0307322i
\(750\) 0.179835 2.08274i 0.00656665 0.0760511i
\(751\) 9.41052 + 16.2995i 0.343395 + 0.594777i 0.985061 0.172207i \(-0.0550898\pi\)
−0.641666 + 0.766984i \(0.721756\pi\)
\(752\) −22.3058 18.0629i −0.813408 0.658685i
\(753\) 20.4918 + 1.07393i 0.746764 + 0.0391362i
\(754\) 0.423630 0.0900454i 0.0154277 0.00327926i
\(755\) −3.85318 2.97217i −0.140232 0.108168i
\(756\) −4.74066 2.13444i −0.172416 0.0776288i
\(757\) 31.9274 + 31.9274i 1.16042 + 1.16042i 0.984384 + 0.176035i \(0.0563273\pi\)
0.176035 + 0.984384i \(0.443673\pi\)
\(758\) −0.265063 5.05770i −0.00962751 0.183704i
\(759\) 13.7478 6.12092i 0.499014 0.222175i
\(760\) −1.06402 4.48191i −0.0385961 0.162576i
\(761\) −11.2371 + 25.2388i −0.407343 + 0.914907i 0.587089 + 0.809523i \(0.300274\pi\)
−0.994432 + 0.105384i \(0.966393\pi\)
\(762\) 1.51049 0.239239i 0.0547195 0.00866671i
\(763\) −39.5227 25.9016i −1.43082 0.937700i
\(764\) 2.11164 + 2.90642i 0.0763963 + 0.105151i
\(765\) 3.99659 + 11.3775i 0.144497 + 0.411353i
\(766\) 2.12646 + 4.77610i 0.0768320 + 0.172568i
\(767\) 1.01266 + 1.55936i 0.0365650 + 0.0563052i
\(768\) −3.43604 + 12.8235i −0.123987 + 0.462727i
\(769\) 0.0187511 + 0.0577099i 0.000676181 + 0.00208107i 0.951394 0.307976i \(-0.0996517\pi\)
−0.950718 + 0.310057i \(0.899652\pi\)
\(770\) −2.27603 1.77084i −0.0820225 0.0638165i
\(771\) −5.75199 + 17.7028i −0.207153 + 0.637551i
\(772\) 16.4064 + 10.6544i 0.590479 + 0.383461i
\(773\) 4.72320 5.83266i 0.169882 0.209786i −0.685094 0.728455i \(-0.740239\pi\)
0.854975 + 0.518669i \(0.173572\pi\)
\(774\) −0.748530 0.432164i −0.0269053 0.0155338i
\(775\) −1.64860 + 3.19547i −0.0592195 + 0.114785i
\(776\) 14.5168i 0.521123i
\(777\) −9.90936 3.85140i −0.355496 0.138168i
\(778\) 3.09579 + 6.07583i 0.110989 + 0.217829i
\(779\) 3.39182 + 15.9573i 0.121525 + 0.571728i
\(780\) −0.786174 0.925222i −0.0281495 0.0331283i
\(781\) 5.99661 + 1.27462i 0.214575 + 0.0456094i
\(782\) 5.62254 + 1.50656i 0.201062 + 0.0538743i
\(783\) −3.80564 + 7.46898i −0.136002 + 0.266920i
\(784\) −22.8729 13.4616i −0.816888 0.480770i
\(785\) 25.3249 3.26890i 0.903883 0.116672i
\(786\) −0.872168 0.388314i −0.0311092 0.0138507i
\(787\) −4.16286 + 10.8446i −0.148390 + 0.386569i −0.987548 0.157319i \(-0.949715\pi\)
0.839158 + 0.543888i \(0.183048\pi\)
\(788\) 7.96215 20.7421i 0.283640 0.738908i
\(789\) 20.6986 + 9.21560i 0.736889 + 0.328084i
\(790\) 1.22142 + 2.57752i 0.0434561 + 0.0917041i
\(791\) −7.78871 + 6.95432i −0.276935 + 0.247267i
\(792\) 0.877450 1.72209i 0.0311788 0.0611919i
\(793\) 2.13155 + 0.571146i 0.0756934 + 0.0202820i
\(794\) 2.58772 + 0.550036i 0.0918347 + 0.0195201i
\(795\) 2.33999 + 0.568048i 0.0829908 + 0.0201466i
\(796\) 9.03266 + 42.4953i 0.320154 + 1.50621i
\(797\) −19.1834 37.6496i −0.679512 1.33362i −0.930737 0.365689i \(-0.880834\pi\)
0.251225 0.967929i \(-0.419166\pi\)
\(798\) 0.209368 + 1.35859i 0.00741156 + 0.0480936i
\(799\) 40.8258i 1.44431i
\(800\) 10.9583 + 0.0554625i 0.387434 + 0.00196090i
\(801\) −7.65932 4.42211i −0.270629 0.156248i
\(802\) −2.69645 + 3.32984i −0.0952151 + 0.117581i
\(803\) −6.36309 4.13224i −0.224549 0.145824i
\(804\) 8.52010 26.2222i 0.300481 0.924784i
\(805\) −24.6141 23.6736i −0.867532 0.834385i
\(806\) −0.0114814 0.0353362i −0.000404416 0.00124466i
\(807\) −2.66303 + 9.93856i −0.0937431 + 0.349854i
\(808\) 6.22616 + 9.58744i 0.219035 + 0.337285i
\(809\) −11.8010 26.5056i −0.414903 0.931887i −0.993239 0.116088i \(-0.962964\pi\)
0.578336 0.815799i \(-0.303702\pi\)
\(810\) −0.417982 + 0.00988684i −0.0146864 + 0.000347388i
\(811\) −12.5623 17.2906i −0.441124 0.607155i 0.529338 0.848411i \(-0.322440\pi\)
−0.970461 + 0.241257i \(0.922440\pi\)
\(812\) −23.8885 + 36.4510i −0.838322 + 1.27918i
\(813\) 17.7285 2.80791i 0.621764 0.0984778i
\(814\) 0.796685 1.78938i 0.0279238 0.0627179i
\(815\) −38.7059 + 23.5845i −1.35581 + 0.826129i
\(816\) −18.6794 + 8.31658i −0.653908 + 0.291139i
\(817\) −0.672244 12.8272i −0.0235189 0.448767i
\(818\) −0.723121 0.723121i −0.0252833 0.0252833i
\(819\) 0.427237 + 0.593235i 0.0149289 + 0.0207293i
\(820\) −25.7863 0.740541i −0.900495 0.0258608i
\(821\) −13.3300 + 2.83338i −0.465221 + 0.0988858i −0.434558 0.900644i \(-0.643095\pi\)
−0.0306634 + 0.999530i \(0.509762\pi\)
\(822\) 1.66388 + 0.0872002i 0.0580344 + 0.00304145i
\(823\) 2.26083 + 1.83078i 0.0788074 + 0.0638170i 0.667915 0.744238i \(-0.267187\pi\)
−0.589107 + 0.808055i \(0.700520\pi\)
\(824\) −2.62234 4.54203i −0.0913537 0.158229i
\(825\) 12.7361 + 2.77458i 0.443413 + 0.0965985i
\(826\) 3.25315 + 0.705689i 0.113192 + 0.0245541i
\(827\) 50.0649 + 7.92950i 1.74093 + 0.275736i 0.944384 0.328845i \(-0.106659\pi\)
0.796544 + 0.604581i \(0.206659\pi\)
\(828\) 6.17802 9.51332i 0.214701 0.330611i
\(829\) 11.4443 + 12.7102i 0.397478 + 0.441445i 0.908349 0.418213i \(-0.137343\pi\)
−0.510870 + 0.859658i \(0.670677\pi\)
\(830\) −1.03458 + 4.26181i −0.0359110 + 0.147930i
\(831\) −9.72943 8.76041i −0.337510 0.303895i
\(832\) 1.40152 1.40152i 0.0485891 0.0485891i
\(833\) −5.59392 37.3338i −0.193818 1.29354i
\(834\) −1.95117 + 2.68555i −0.0675635 + 0.0929932i
\(835\) 28.8019 41.6806i 0.996730 1.44242i
\(836\) 14.1567 1.48793i 0.489620 0.0514611i
\(837\) 0.671372 + 0.257716i 0.0232060 + 0.00890795i
\(838\) −4.26016 + 3.44981i −0.147165 + 0.119172i
\(839\) 19.9474 14.4926i 0.688661 0.500342i −0.187559 0.982253i \(-0.560057\pi\)
0.876220 + 0.481912i \(0.160057\pi\)
\(840\) −4.37014 0.373442i −0.150784 0.0128850i
\(841\) 33.3869 + 24.2570i 1.15127 + 0.836449i
\(842\) 0.661697 0.0346781i 0.0228036 0.00119509i
\(843\) 16.4308 4.40263i 0.565908 0.151635i
\(844\) −2.84446 + 13.3821i −0.0979102 + 0.460631i
\(845\) −5.19435 28.4275i −0.178691 0.977935i
\(846\) 1.34620 + 0.437407i 0.0462833 + 0.0150383i
\(847\) −7.89729 + 7.83161i −0.271354 + 0.269097i
\(848\) −0.638705 + 4.03263i −0.0219332 + 0.138481i
\(849\) −27.9296 + 16.1252i −0.958543 + 0.553415i
\(850\) 3.15307 + 3.93426i 0.108149 + 0.134944i
\(851\) 11.5980 20.0884i 0.397576 0.688621i
\(852\) 4.31410 1.65603i 0.147798 0.0567345i
\(853\) −34.2217 + 17.4368i −1.17173 + 0.597026i −0.927913 0.372796i \(-0.878399\pi\)
−0.243815 + 0.969822i \(0.578399\pi\)
\(854\) 3.42972 1.96110i 0.117363 0.0671075i
\(855\) −3.50632 5.12949i −0.119914 0.175425i
\(856\) −0.165595 + 0.183912i −0.00565991 + 0.00628597i
\(857\) −2.73668 10.2134i −0.0934830 0.348883i 0.903302 0.429005i \(-0.141136\pi\)
−0.996785 + 0.0801217i \(0.974469\pi\)
\(858\) −0.112961 + 0.0733576i −0.00385642 + 0.00250439i
\(859\) 3.04202 28.9429i 0.103792 0.987519i −0.811397 0.584496i \(-0.801292\pi\)
0.915189 0.403024i \(-0.132041\pi\)
\(860\) 19.9619 + 3.75199i 0.680695 + 0.127942i
\(861\) 15.4412 + 1.68815i 0.526234 + 0.0575319i
\(862\) −0.128790 0.813149i −0.00438661 0.0276960i
\(863\) 3.46622 + 4.28043i 0.117992 + 0.145707i 0.832719 0.553695i \(-0.186783\pi\)
−0.714728 + 0.699403i \(0.753449\pi\)
\(864\) −0.229094 2.17968i −0.00779392 0.0741542i
\(865\) −20.2775 + 4.81396i −0.689456 + 0.163680i
\(866\) −6.34595 0.666986i −0.215644 0.0226651i
\(867\) −10.7668 5.48594i −0.365659 0.186312i
\(868\) 3.32417 + 1.71127i 0.112830 + 0.0580844i
\(869\) −16.9143 + 5.49578i −0.573777 + 0.186432i
\(870\) −0.466256 + 3.47362i −0.0158076 + 0.117767i
\(871\) −2.88120 + 2.59424i −0.0976256 + 0.0879025i
\(872\) 0.692995 13.2231i 0.0234678 0.447792i
\(873\) −7.01712 18.2802i −0.237493 0.618691i
\(874\) −2.99920 −0.101450
\(875\) −5.04798 29.1465i −0.170653 0.985331i
\(876\) −5.71892 −0.193224
\(877\) −0.153970 0.401107i −0.00519921 0.0135444i 0.930956 0.365131i \(-0.118976\pi\)
−0.936155 + 0.351586i \(0.885642\pi\)
\(878\) 0.148494 2.83344i 0.00501144 0.0956239i
\(879\) −10.5324 + 9.48341i −0.355249 + 0.319867i
\(880\) −2.94029 + 21.9052i −0.0991171 + 0.738425i
\(881\) 36.4318 11.8374i 1.22742 0.398812i 0.377640 0.925953i \(-0.376736\pi\)
0.849778 + 0.527140i \(0.176736\pi\)
\(882\) 1.29099 + 0.215539i 0.0434698 + 0.00725756i
\(883\) −48.1001 24.5082i −1.61870 0.824768i −0.999209 0.0397625i \(-0.987340\pi\)
−0.619489 0.785005i \(-0.712660\pi\)
\(884\) 2.91219 + 0.306083i 0.0979475 + 0.0102947i
\(885\) −14.6395 + 3.47547i −0.492101 + 0.116827i
\(886\) −0.732878 6.97287i −0.0246215 0.234258i
\(887\) −8.83951 10.9159i −0.296802 0.366520i 0.606829 0.794833i \(-0.292441\pi\)
−0.903630 + 0.428313i \(0.859108\pi\)
\(888\) −0.466035 2.94243i −0.0156391 0.0987415i
\(889\) 19.8056 8.71910i 0.664258 0.292429i
\(890\) −3.63412 0.683061i −0.121816 0.0228963i
\(891\) 0.272501 2.59268i 0.00912914 0.0868580i
\(892\) −2.89002 + 1.87680i −0.0967651 + 0.0628400i
\(893\) 5.44437 + 20.3187i 0.182189 + 0.679938i
\(894\) −0.652746 + 0.724948i −0.0218311 + 0.0242459i
\(895\) 25.0053 + 36.5810i 0.835836 + 1.22277i
\(896\) 0.0632409 15.1457i 0.00211273 0.505983i
\(897\) −1.42121 + 0.724143i −0.0474529 + 0.0241784i
\(898\) 5.52044 2.11910i 0.184220 0.0707153i
\(899\) 3.01413 5.22062i 0.100527 0.174118i
\(900\) 9.19031 3.47457i 0.306344 0.115819i
\(901\) −5.02943 + 2.90374i −0.167555 + 0.0967377i
\(902\) −0.447684 + 2.82657i −0.0149063 + 0.0941144i
\(903\) −11.8001 3.21471i −0.392684 0.106979i
\(904\) −2.78269 0.904151i −0.0925509 0.0300716i
\(905\) 7.17674 + 39.2767i 0.238563 + 1.30560i
\(906\) −0.0846031 + 0.398026i −0.00281075 + 0.0132235i
\(907\) 50.0198 13.4028i 1.66088 0.445031i 0.698250 0.715854i \(-0.253962\pi\)
0.962629 + 0.270822i \(0.0872955\pi\)
\(908\) −2.93725 + 0.153935i −0.0974762 + 0.00510851i
\(909\) 12.4746 + 9.06335i 0.413757 + 0.300612i
\(910\) 0.250734 + 0.174812i 0.00831176 + 0.00579496i
\(911\) −28.1789 + 20.4732i −0.933609 + 0.678307i −0.946874 0.321605i \(-0.895778\pi\)
0.0132644 + 0.999912i \(0.495778\pi\)
\(912\) 8.18749 6.63010i 0.271115 0.219545i
\(913\) −25.5291 9.79970i −0.844890 0.324323i
\(914\) −0.167322 + 0.0175863i −0.00553453 + 0.000581703i
\(915\) −10.1520 + 14.6914i −0.335614 + 0.485684i
\(916\) 18.3500 25.2566i 0.606300 0.834500i
\(917\) −13.3338 2.16898i −0.440321 0.0716259i
\(918\) 0.713025 0.713025i 0.0235333 0.0235333i
\(919\) 28.8760 + 26.0001i 0.952531 + 0.857663i 0.989918 0.141638i \(-0.0452370\pi\)
−0.0373877 + 0.999301i \(0.511904\pi\)
\(920\) 2.25753 9.29955i 0.0744285 0.306597i
\(921\) 8.00974 + 8.89572i 0.263930 + 0.293124i
\(922\) 1.06794 1.64448i 0.0351707 0.0541581i
\(923\) −0.641793 0.101650i −0.0211249 0.00334585i
\(924\) 2.87328 13.2455i 0.0945240 0.435746i
\(925\) 18.3957 8.07900i 0.604848 0.265636i
\(926\) 0.451405 + 0.781857i 0.0148341 + 0.0256934i
\(927\) −5.49770 4.45195i −0.180568 0.146221i
\(928\) −18.3469 0.961521i −0.602267 0.0315635i
\(929\) 39.4775 8.39120i 1.29521 0.275306i 0.491790 0.870714i \(-0.336343\pi\)
0.803424 + 0.595408i \(0.203009\pi\)
\(930\) 0.300546 + 0.00863122i 0.00985530 + 0.000283029i
\(931\) 7.76274 + 17.8348i 0.254414 + 0.584511i
\(932\) −26.1358 26.1358i −0.856108 0.856108i
\(933\) 0.370269 + 7.06515i 0.0121221 + 0.231303i
\(934\) −0.942551 + 0.419651i −0.0308412 + 0.0137314i
\(935\) −26.8462 + 16.3581i −0.877964 + 0.534966i
\(936\) −0.0833226 + 0.187146i −0.00272348 + 0.00611705i
\(937\) −29.3792 + 4.65320i −0.959775 + 0.152013i −0.616616 0.787264i \(-0.711497\pi\)
−0.343159 + 0.939277i \(0.611497\pi\)
\(938\) −0.392214 + 6.93010i −0.0128062 + 0.226276i
\(939\) −8.52367 11.7318i −0.278159 0.382854i
\(940\) −33.2540 + 0.786581i −1.08463 + 0.0256555i
\(941\) −15.1028 33.9215i −0.492338 1.10581i −0.973398 0.229122i \(-0.926415\pi\)
0.481060 0.876688i \(-0.340252\pi\)
\(942\) −1.16293 1.79075i −0.0378902 0.0583458i
\(943\) −8.77156 + 32.7359i −0.285641 + 1.06603i
\(944\) −7.88379 24.2638i −0.256595 0.789720i
\(945\) −5.68359 + 1.64218i −0.184887 + 0.0534201i
\(946\) 0.696298 2.14298i 0.0226386 0.0696744i
\(947\) −16.5423 10.7427i −0.537551 0.349090i 0.247137 0.968981i \(-0.420510\pi\)
−0.784688 + 0.619891i \(0.787177\pi\)
\(948\) −8.43637 + 10.4181i −0.274001 + 0.338363i
\(949\) 0.696436 + 0.402088i 0.0226073 + 0.0130523i
\(950\) −2.09391 1.53757i −0.0679355 0.0498853i
\(951\) 18.0763i 0.586163i
\(952\) 8.24861 6.62276i 0.267339 0.214645i
\(953\) 13.1601 + 25.8282i 0.426297 + 0.836656i 0.999847 + 0.0174851i \(0.00556596\pi\)
−0.573550 + 0.819171i \(0.694434\pi\)
\(954\) −0.0418635 0.196952i −0.00135538 0.00637656i
\(955\) 3.97265 + 0.964389i 0.128552 + 0.0312069i
\(956\) 9.82738 + 2.08887i 0.317840 + 0.0675590i
\(957\) −21.1086 5.65602i −0.682343 0.182833i
\(958\) 3.27289 6.42340i 0.105742 0.207531i
\(959\) 23.0812 4.80542i 0.745330 0.155175i
\(960\) 6.86855 + 14.4945i 0.221682 + 0.467808i
\(961\) 27.8475 + 12.3985i 0.898305 + 0.399951i
\(962\) −0.0744006 + 0.193820i −0.00239877 + 0.00624901i
\(963\) −0.119625 + 0.311635i −0.00385488 + 0.0100423i
\(964\) −5.69313 2.53474i −0.183363 0.0816386i
\(965\) 22.0774 2.84972i 0.710695 0.0917358i
\(966\) −0.893792 + 2.71222i −0.0287573 + 0.0872643i
\(967\) 3.42927 6.73032i 0.110278 0.216433i −0.829271 0.558846i \(-0.811244\pi\)
0.939549 + 0.342413i \(0.111244\pi\)
\(968\) −3.01039 0.806633i −0.0967577 0.0259262i
\(969\) 14.6579 + 3.11564i 0.470881 + 0.100089i
\(970\) −5.30106 6.23864i −0.170207 0.200311i
\(971\) −3.15499 14.8431i −0.101249 0.476337i −0.999333 0.0365142i \(-0.988375\pi\)
0.898085 0.439823i \(-0.144959\pi\)
\(972\) −0.892109 1.75086i −0.0286144 0.0561589i
\(973\) −17.0159 + 43.7807i −0.545505 + 1.40355i
\(974\) 6.25180i 0.200321i
\(975\) −1.36347 0.223031i −0.0436659 0.00714272i
\(976\) −26.2228 15.1398i −0.839372 0.484612i
\(977\) −35.9714 + 44.4210i −1.15083 + 1.42115i −0.260712 + 0.965417i \(0.583957\pi\)
−0.890115 + 0.455736i \(0.849376\pi\)
\(978\) 3.17863 + 2.06423i 0.101641 + 0.0660067i
\(979\) 7.12485 21.9280i 0.227711 0.700823i
\(980\) −30.3019 + 5.27574i −0.967958 + 0.168527i
\(981\) −5.51914 16.9862i −0.176212 0.542326i
\(982\) 0.0481021 0.179520i 0.00153500 0.00572870i
\(983\) 11.9064 + 18.3342i 0.379755 + 0.584771i 0.975930 0.218083i \(-0.0699805\pi\)
−0.596176 + 0.802854i \(0.703314\pi\)
\(984\) 1.77038 + 3.97633i 0.0564376 + 0.126761i
\(985\) −8.37904 23.8534i −0.266979 0.760031i
\(986\) −4.96842 6.83845i −0.158227 0.217781i
\(987\) 19.9969 + 1.13174i 0.636510 + 0.0360237i
\(988\) −1.49019 + 0.236023i −0.0474093 + 0.00750889i
\(989\) 10.8534 24.3772i 0.345119 0.775151i
\(990\) −0.251765 1.06049i −0.00800161 0.0337046i
\(991\) −8.33293 + 3.71006i −0.264704 + 0.117854i −0.534798 0.844980i \(-0.679612\pi\)
0.270093 + 0.962834i \(0.412945\pi\)
\(992\) 0.0824878 + 1.57396i 0.00261899 + 0.0499733i
\(993\) 10.9171 + 10.9171i 0.346445 + 0.346445i
\(994\) −0.944016 + 0.679863i −0.0299424 + 0.0215640i
\(995\) 39.1446 + 30.1944i 1.24097 + 0.957227i
\(996\) −20.1616 + 4.28548i −0.638845 + 0.135791i
\(997\) 34.6798 + 1.81749i 1.09832 + 0.0575605i 0.592872 0.805297i \(-0.297994\pi\)
0.505448 + 0.862857i \(0.331327\pi\)
\(998\) 6.07499 + 4.91943i 0.192300 + 0.155722i
\(999\) −2.00916 3.47997i −0.0635671 0.110101i
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 525.2.bv.a.52.20 640
7.5 odd 6 inner 525.2.bv.a.502.20 yes 640
25.13 odd 20 inner 525.2.bv.a.388.20 yes 640
175.138 even 60 inner 525.2.bv.a.313.20 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
525.2.bv.a.52.20 640 1.1 even 1 trivial
525.2.bv.a.313.20 yes 640 175.138 even 60 inner
525.2.bv.a.388.20 yes 640 25.13 odd 20 inner
525.2.bv.a.502.20 yes 640 7.5 odd 6 inner