Properties

Label 350.2.x.a.17.1
Level $350$
Weight $2$
Character 350.17
Analytic conductor $2.795$
Analytic rank $0$
Dimension $320$
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] = [350,2,Mod(3,350)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(350, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([21, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("350.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 350.x (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: \(2.79476407074\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(20\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 17.1
Character \(\chi\) \(=\) 350.17
Dual form 350.2.x.a.103.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.998630 + 0.0523360i) q^{2} +(-1.92378 + 2.37567i) q^{3} +(0.994522 - 0.104528i) q^{4} +(2.13222 - 0.673515i) q^{5} +(1.79681 - 2.47310i) q^{6} +(-2.09922 - 1.61036i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(-1.31915 - 6.20612i) q^{9} +O(q^{10})\) \(q+(-0.998630 + 0.0523360i) q^{2} +(-1.92378 + 2.37567i) q^{3} +(0.994522 - 0.104528i) q^{4} +(2.13222 - 0.673515i) q^{5} +(1.79681 - 2.47310i) q^{6} +(-2.09922 - 1.61036i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(-1.31915 - 6.20612i) q^{9} +(-2.09405 + 0.784184i) q^{10} +(-3.23458 - 0.687531i) q^{11} +(-1.66492 + 2.56375i) q^{12} +(-2.06922 + 1.05432i) q^{13} +(2.18062 + 1.49829i) q^{14} +(-2.50188 + 6.36116i) q^{15} +(0.978148 - 0.207912i) q^{16} +(1.01749 - 2.65065i) q^{17} +(1.64215 + 6.12857i) q^{18} +(0.577213 - 5.49182i) q^{19} +(2.05014 - 0.892703i) q^{20} +(7.86414 - 1.88908i) q^{21} +(3.26613 + 0.517304i) q^{22} +(-3.49656e-5 - 0.000667183i) q^{23} +(1.52846 - 2.64737i) q^{24} +(4.09276 - 2.87217i) q^{25} +(2.01121 - 1.16117i) q^{26} +(9.11026 + 4.64191i) q^{27} +(-2.25605 - 1.38211i) q^{28} +(-3.29621 - 4.53684i) q^{29} +(2.16554 - 6.48338i) q^{30} +(0.0657476 + 0.147672i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(7.85597 - 6.36164i) q^{33} +(-0.877369 + 2.70027i) q^{34} +(-5.56061 - 2.01980i) q^{35} +(-1.96064 - 6.03423i) q^{36} +(-5.62780 - 3.65474i) q^{37} +(-0.289003 + 5.51450i) q^{38} +(1.47601 - 6.94408i) q^{39} +(-2.00061 + 0.998776i) q^{40} +(9.68519 + 3.14691i) q^{41} +(-7.75450 + 2.29807i) q^{42} +(-5.09720 + 5.09720i) q^{43} +(-3.28872 - 0.345659i) q^{44} +(-6.99264 - 12.3444i) q^{45} +(6.98353e-5 + 0.000664438i) q^{46} +(8.75279 - 3.35988i) q^{47} +(-1.38781 + 2.72374i) q^{48} +(1.81346 + 6.76102i) q^{49} +(-3.93683 + 3.08243i) q^{50} +(4.33965 + 7.51649i) q^{51} +(-1.94768 + 1.26484i) q^{52} +(2.69710 + 2.18407i) q^{53} +(-9.34071 - 4.15875i) q^{54} +(-7.35990 + 0.712567i) q^{55} +(2.32529 + 1.26215i) q^{56} +(11.9363 + 11.9363i) q^{57} +(3.52913 + 4.35812i) q^{58} +(0.164822 + 0.183054i) q^{59} +(-1.82325 + 6.58784i) q^{60} +(-10.5043 - 9.45815i) q^{61} +(-0.0733861 - 0.144028i) q^{62} +(-7.22491 + 15.1523i) q^{63} +(0.951057 - 0.309017i) q^{64} +(-3.70194 + 3.64170i) q^{65} +(-7.51226 + 6.76407i) q^{66} +(-10.4052 - 3.99418i) q^{67} +(0.734846 - 2.74248i) q^{68} +(0.00165227 + 0.00120045i) q^{69} +(5.65870 + 1.72601i) q^{70} +(-0.299571 + 0.217651i) q^{71} +(2.27376 + 5.92335i) q^{72} +(-8.96037 - 13.7978i) q^{73} +(5.81137 + 3.35519i) q^{74} +(-1.05024 + 15.2485i) q^{75} -5.52207i q^{76} +(5.68292 + 6.65212i) q^{77} +(-1.11056 + 7.01182i) q^{78} +(-5.63251 + 12.6508i) q^{79} +(1.94560 - 1.10211i) q^{80} +(-11.1651 + 4.97104i) q^{81} +(-9.83661 - 2.63571i) q^{82} +(-2.16257 - 13.6539i) q^{83} +(7.62360 - 2.70076i) q^{84} +(0.384262 - 6.33707i) q^{85} +(4.82345 - 5.35698i) q^{86} +(17.1193 + 0.897182i) q^{87} +(3.30231 + 0.173067i) q^{88} +(-7.34504 + 8.15749i) q^{89} +(7.62911 + 11.9615i) q^{90} +(6.04160 + 1.11894i) q^{91} +(-0.000104514 - 0.000659873i) q^{92} +(-0.477304 - 0.127893i) q^{93} +(-8.56495 + 3.81336i) q^{94} +(-2.46807 - 12.0985i) q^{95} +(1.24336 - 2.79264i) q^{96} +(-1.00446 + 6.34188i) q^{97} +(-2.16482 - 6.65684i) q^{98} +20.9811i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 12 q^{5} - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37} - 24 q^{38} - 40 q^{39} - 36 q^{42} + 88 q^{43} - 228 q^{45} - 12 q^{47} + 32 q^{50} - 52 q^{53} + 152 q^{57} + 32 q^{58} - 120 q^{59} - 8 q^{60} + 136 q^{63} + 8 q^{65} - 32 q^{67} - 144 q^{68} + 92 q^{70} + 8 q^{72} + 12 q^{73} - 432 q^{75} + 144 q^{77} - 16 q^{78} + 12 q^{80} - 40 q^{81} - 192 q^{82} + 60 q^{84} - 24 q^{85} + 24 q^{87} + 4 q^{88} - 300 q^{89} - 8 q^{92} - 68 q^{93} + 20 q^{95} - 40 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.998630 + 0.0523360i −0.706138 + 0.0370071i
\(3\) −1.92378 + 2.37567i −1.11070 + 1.37160i −0.189784 + 0.981826i \(0.560779\pi\)
−0.920912 + 0.389770i \(0.872554\pi\)
\(4\) 0.994522 0.104528i 0.497261 0.0522642i
\(5\) 2.13222 0.673515i 0.953559 0.301205i
\(6\) 1.79681 2.47310i 0.733546 1.00964i
\(7\) −2.09922 1.61036i −0.793431 0.608660i
\(8\) −0.987688 + 0.156434i −0.349201 + 0.0553079i
\(9\) −1.31915 6.20612i −0.439717 2.06871i
\(10\) −2.09405 + 0.784184i −0.662198 + 0.247981i
\(11\) −3.23458 0.687531i −0.975262 0.207298i −0.307397 0.951581i \(-0.599458\pi\)
−0.667864 + 0.744283i \(0.732791\pi\)
\(12\) −1.66492 + 2.56375i −0.480621 + 0.740091i
\(13\) −2.06922 + 1.05432i −0.573899 + 0.292416i −0.716753 0.697328i \(-0.754372\pi\)
0.142853 + 0.989744i \(0.454372\pi\)
\(14\) 2.18062 + 1.49829i 0.582796 + 0.400435i
\(15\) −2.50188 + 6.36116i −0.645983 + 1.64245i
\(16\) 0.978148 0.207912i 0.244537 0.0519779i
\(17\) 1.01749 2.65065i 0.246777 0.642876i −0.753110 0.657894i \(-0.771447\pi\)
0.999887 + 0.0150182i \(0.00478061\pi\)
\(18\) 1.64215 + 6.12857i 0.387058 + 1.44452i
\(19\) 0.577213 5.49182i 0.132422 1.25991i −0.703355 0.710839i \(-0.748315\pi\)
0.835776 0.549070i \(-0.185018\pi\)
\(20\) 2.05014 0.892703i 0.458426 0.199615i
\(21\) 7.86414 1.88908i 1.71610 0.412231i
\(22\) 3.26613 + 0.517304i 0.696341 + 0.110290i
\(23\) −3.49656e−5 0 0.000667183i −7.29082e−6 0 0.000139117i 0.998626 0.0524055i \(-0.0166888\pi\)
−0.998633 + 0.0522664i \(0.983356\pi\)
\(24\) 1.52846 2.64737i 0.311996 0.540392i
\(25\) 4.09276 2.87217i 0.818551 0.574434i
\(26\) 2.01121 1.16117i 0.394430 0.227724i
\(27\) 9.11026 + 4.64191i 1.75327 + 0.893336i
\(28\) −2.25605 1.38211i −0.426353 0.261195i
\(29\) −3.29621 4.53684i −0.612091 0.842471i 0.384657 0.923060i \(-0.374320\pi\)
−0.996747 + 0.0805889i \(0.974320\pi\)
\(30\) 2.16554 6.48338i 0.395371 1.18370i
\(31\) 0.0657476 + 0.147672i 0.0118086 + 0.0265226i 0.919354 0.393432i \(-0.128712\pi\)
−0.907545 + 0.419955i \(0.862046\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 7.85597 6.36164i 1.36755 1.10742i
\(34\) −0.877369 + 2.70027i −0.150468 + 0.463092i
\(35\) −5.56061 2.01980i −0.939915 0.341408i
\(36\) −1.96064 6.03423i −0.326773 1.00571i
\(37\) −5.62780 3.65474i −0.925205 0.600835i −0.00831094 0.999965i \(-0.502645\pi\)
−0.916894 + 0.399130i \(0.869312\pi\)
\(38\) −0.289003 + 5.51450i −0.0468824 + 0.894570i
\(39\) 1.47601 6.94408i 0.236351 1.11194i
\(40\) −2.00061 + 0.998776i −0.316324 + 0.157920i
\(41\) 9.68519 + 3.14691i 1.51257 + 0.491464i 0.943655 0.330931i \(-0.107363\pi\)
0.568917 + 0.822395i \(0.307363\pi\)
\(42\) −7.75450 + 2.29807i −1.19655 + 0.354599i
\(43\) −5.09720 + 5.09720i −0.777316 + 0.777316i −0.979374 0.202057i \(-0.935237\pi\)
0.202057 + 0.979374i \(0.435237\pi\)
\(44\) −3.28872 0.345659i −0.495794 0.0521100i
\(45\) −6.99264 12.3444i −1.04240 1.84019i
\(46\) 6.98353e−5 0 0.000664438i 1.02967e−5 0 9.79661e-5i
\(47\) 8.75279 3.35988i 1.27673 0.490089i 0.376865 0.926268i \(-0.377002\pi\)
0.899860 + 0.436179i \(0.143669\pi\)
\(48\) −1.38781 + 2.72374i −0.200314 + 0.393138i
\(49\) 1.81346 + 6.76102i 0.259066 + 0.965860i
\(50\) −3.93683 + 3.08243i −0.556752 + 0.435922i
\(51\) 4.33965 + 7.51649i 0.607672 + 1.05252i
\(52\) −1.94768 + 1.26484i −0.270095 + 0.175402i
\(53\) 2.69710 + 2.18407i 0.370475 + 0.300005i 0.796420 0.604744i \(-0.206725\pi\)
−0.425944 + 0.904749i \(0.640058\pi\)
\(54\) −9.34071 4.15875i −1.27111 0.565935i
\(55\) −7.35990 + 0.712567i −0.992409 + 0.0960825i
\(56\) 2.32529 + 1.26215i 0.310730 + 0.168661i
\(57\) 11.9363 + 11.9363i 1.58101 + 1.58101i
\(58\) 3.52913 + 4.35812i 0.463398 + 0.572249i
\(59\) 0.164822 + 0.183054i 0.0214581 + 0.0238316i 0.753778 0.657129i \(-0.228229\pi\)
−0.732320 + 0.680960i \(0.761563\pi\)
\(60\) −1.82325 + 6.58784i −0.235381 + 0.850486i
\(61\) −10.5043 9.45815i −1.34494 1.21099i −0.957271 0.289194i \(-0.906613\pi\)
−0.387672 0.921798i \(-0.626721\pi\)
\(62\) −0.0733861 0.144028i −0.00932004 0.0182916i
\(63\) −7.22491 + 15.1523i −0.910253 + 1.90901i
\(64\) 0.951057 0.309017i 0.118882 0.0386271i
\(65\) −3.70194 + 3.64170i −0.459170 + 0.451698i
\(66\) −7.51226 + 6.76407i −0.924696 + 0.832600i
\(67\) −10.4052 3.99418i −1.27120 0.487967i −0.373111 0.927787i \(-0.621709\pi\)
−0.898086 + 0.439820i \(0.855042\pi\)
\(68\) 0.734846 2.74248i 0.0891132 0.332575i
\(69\) 0.00165227 + 0.00120045i 0.000198910 + 0.000144517i
\(70\) 5.65870 + 1.72601i 0.676344 + 0.206297i
\(71\) −0.299571 + 0.217651i −0.0355526 + 0.0258304i −0.605420 0.795906i \(-0.706995\pi\)
0.569867 + 0.821737i \(0.306995\pi\)
\(72\) 2.27376 + 5.92335i 0.267965 + 0.698073i
\(73\) −8.96037 13.7978i −1.04873 1.61491i −0.751057 0.660238i \(-0.770455\pi\)
−0.297675 0.954667i \(-0.596211\pi\)
\(74\) 5.81137 + 3.35519i 0.675557 + 0.390033i
\(75\) −1.05024 + 15.2485i −0.121271 + 1.76074i
\(76\) 5.52207i 0.633425i
\(77\) 5.68292 + 6.65212i 0.647629 + 0.758080i
\(78\) −1.11056 + 7.01182i −0.125746 + 0.793932i
\(79\) −5.63251 + 12.6508i −0.633707 + 1.42333i 0.255945 + 0.966691i \(0.417613\pi\)
−0.889652 + 0.456638i \(0.849053\pi\)
\(80\) 1.94560 1.10211i 0.217524 0.123220i
\(81\) −11.1651 + 4.97104i −1.24057 + 0.552337i
\(82\) −9.83661 2.63571i −1.08627 0.291066i
\(83\) −2.16257 13.6539i −0.237372 1.49871i −0.762110 0.647447i \(-0.775837\pi\)
0.524738 0.851264i \(-0.324163\pi\)
\(84\) 7.62360 2.70076i 0.831803 0.294677i
\(85\) 0.384262 6.33707i 0.0416790 0.687351i
\(86\) 4.82345 5.35698i 0.520126 0.577659i
\(87\) 17.1193 + 0.897182i 1.83538 + 0.0961880i
\(88\) 3.30231 + 0.173067i 0.352027 + 0.0184490i
\(89\) −7.34504 + 8.15749i −0.778572 + 0.864692i −0.993721 0.111889i \(-0.964310\pi\)
0.215148 + 0.976581i \(0.430977\pi\)
\(90\) 7.62911 + 11.9615i 0.804179 + 1.26085i
\(91\) 6.04160 + 1.11894i 0.633332 + 0.117297i
\(92\) −0.000104514 0 0.000659873i −1.08963e−5 0 6.87965e-5i
\(93\) −0.477304 0.127893i −0.0494941 0.0132619i
\(94\) −8.56495 + 3.81336i −0.883407 + 0.393318i
\(95\) −2.46807 12.0985i −0.253219 1.24128i
\(96\) 1.24336 2.79264i 0.126900 0.285022i
\(97\) −1.00446 + 6.34188i −0.101987 + 0.643921i 0.882746 + 0.469850i \(0.155692\pi\)
−0.984733 + 0.174071i \(0.944308\pi\)
\(98\) −2.16482 6.65684i −0.218680 0.672443i
\(99\) 20.9811i 2.10868i
\(100\) 3.77011 3.28424i 0.377011 0.328424i
\(101\) 9.26152 + 5.34714i 0.921556 + 0.532061i 0.884131 0.467239i \(-0.154751\pi\)
0.0374249 + 0.999299i \(0.488084\pi\)
\(102\) −4.72708 7.27907i −0.468051 0.720735i
\(103\) −2.22434 5.79461i −0.219171 0.570960i 0.779275 0.626682i \(-0.215587\pi\)
−0.998446 + 0.0557217i \(0.982254\pi\)
\(104\) 1.87882 1.36504i 0.184233 0.133853i
\(105\) 15.4958 9.32455i 1.51223 0.909983i
\(106\) −2.80771 2.03992i −0.272709 0.198135i
\(107\) −0.165076 + 0.616071i −0.0159585 + 0.0595578i −0.973446 0.228917i \(-0.926482\pi\)
0.957487 + 0.288475i \(0.0931482\pi\)
\(108\) 9.54557 + 3.66420i 0.918522 + 0.352588i
\(109\) −2.65341 + 2.38914i −0.254150 + 0.228838i −0.786351 0.617780i \(-0.788032\pi\)
0.532200 + 0.846619i \(0.321365\pi\)
\(110\) 7.31253 1.09678i 0.697222 0.104574i
\(111\) 19.5091 6.33890i 1.85173 0.601662i
\(112\) −2.38816 1.13872i −0.225660 0.107599i
\(113\) −0.0213454 0.0418928i −0.00200801 0.00394094i 0.890000 0.455960i \(-0.150704\pi\)
−0.892008 + 0.452019i \(0.850704\pi\)
\(114\) −12.5447 11.2953i −1.17492 1.05790i
\(115\) −0.000523912 0.00139903i −4.88550e−5 0.000130460i
\(116\) −3.75238 4.16744i −0.348400 0.386937i
\(117\) 9.27286 + 11.4510i 0.857276 + 1.05865i
\(118\) −0.174177 0.174177i −0.0160343 0.0160343i
\(119\) −6.40444 + 3.92577i −0.587094 + 0.359875i
\(120\) 1.47598 6.67423i 0.134738 0.609271i
\(121\) −0.0592067 0.0263605i −0.00538243 0.00239641i
\(122\) 10.9849 + 8.89543i 0.994530 + 0.805354i
\(123\) −26.1082 + 16.9549i −2.35410 + 1.52877i
\(124\) 0.0808233 + 0.139990i 0.00725815 + 0.0125715i
\(125\) 6.79222 8.88064i 0.607515 0.794308i
\(126\) 6.42200 15.5097i 0.572117 1.38171i
\(127\) 5.29901 10.3999i 0.470211 0.922841i −0.527117 0.849793i \(-0.676727\pi\)
0.997328 0.0730488i \(-0.0232729\pi\)
\(128\) −0.933580 + 0.358368i −0.0825176 + 0.0316756i
\(129\) −2.30338 21.9152i −0.202801 1.92953i
\(130\) 3.50628 3.83046i 0.307521 0.335953i
\(131\) −17.9268 1.88418i −1.56627 0.164621i −0.718705 0.695315i \(-0.755265\pi\)
−0.847564 + 0.530693i \(0.821932\pi\)
\(132\) 7.14796 7.14796i 0.622150 0.622150i
\(133\) −10.0555 + 10.5990i −0.871924 + 0.919052i
\(134\) 10.6000 + 3.44414i 0.915699 + 0.297529i
\(135\) 22.5515 + 3.76169i 1.94092 + 0.323755i
\(136\) −0.590309 + 2.77718i −0.0506185 + 0.238141i
\(137\) 0.0728840 1.39071i 0.00622690 0.118816i −0.993747 0.111651i \(-0.964386\pi\)
0.999974 0.00716492i \(-0.00228068\pi\)
\(138\) −0.00171284 0.00111233i −0.000145806 9.46877e-5i
\(139\) 1.14516 + 3.52443i 0.0971308 + 0.298938i 0.987803 0.155708i \(-0.0497659\pi\)
−0.890672 + 0.454646i \(0.849766\pi\)
\(140\) −5.74128 1.42749i −0.485227 0.120645i
\(141\) −8.85648 + 27.2574i −0.745850 + 2.29549i
\(142\) 0.287770 0.233031i 0.0241491 0.0195555i
\(143\) 7.41794 1.98763i 0.620319 0.166214i
\(144\) −2.58065 5.79623i −0.215054 0.483019i
\(145\) −10.0839 7.45352i −0.837421 0.618981i
\(146\) 9.67021 + 13.3099i 0.800312 + 1.10153i
\(147\) −19.5507 8.69853i −1.61251 0.717443i
\(148\) −5.97900 3.04645i −0.491471 0.250417i
\(149\) −8.56088 + 4.94262i −0.701334 + 0.404916i −0.807844 0.589396i \(-0.799366\pi\)
0.106510 + 0.994312i \(0.466032\pi\)
\(150\) 0.250753 15.2825i 0.0204739 1.24781i
\(151\) 2.07329 3.59105i 0.168722 0.292236i −0.769249 0.638950i \(-0.779369\pi\)
0.937971 + 0.346714i \(0.112703\pi\)
\(152\) 0.289003 + 5.51450i 0.0234412 + 0.447285i
\(153\) −17.7924 2.81805i −1.43843 0.227826i
\(154\) −6.02328 6.34559i −0.485370 0.511342i
\(155\) 0.239648 + 0.270587i 0.0192490 + 0.0217341i
\(156\) 0.742071 7.06033i 0.0594132 0.565279i
\(157\) 5.84762 + 21.8236i 0.466691 + 1.74171i 0.651223 + 0.758887i \(0.274256\pi\)
−0.184532 + 0.982826i \(0.559077\pi\)
\(158\) 4.96270 12.9283i 0.394811 1.02852i
\(159\) −10.3773 + 2.20576i −0.822971 + 0.174928i
\(160\) −1.88525 + 1.20243i −0.149042 + 0.0950601i
\(161\) −0.00100101 + 0.00145687i −7.88903e−5 + 0.000114818i
\(162\) 10.8897 5.54856i 0.855573 0.435936i
\(163\) 5.71269 8.79678i 0.447453 0.689017i −0.540919 0.841075i \(-0.681923\pi\)
0.988372 + 0.152058i \(0.0485900\pi\)
\(164\) 9.96107 + 2.11729i 0.777829 + 0.165333i
\(165\) 12.4660 18.8556i 0.970479 1.46790i
\(166\) 2.87419 + 13.5220i 0.223081 + 1.04951i
\(167\) 21.4498 3.39732i 1.65984 0.262893i 0.745104 0.666948i \(-0.232400\pi\)
0.914734 + 0.404055i \(0.132400\pi\)
\(168\) −7.47181 + 3.09604i −0.576462 + 0.238865i
\(169\) −4.47112 + 6.15397i −0.343932 + 0.473382i
\(170\) −0.0520788 + 6.34849i −0.00399426 + 0.486907i
\(171\) −34.8443 + 3.66228i −2.66461 + 0.280062i
\(172\) −4.53648 + 5.60208i −0.345903 + 0.427155i
\(173\) 10.7140 0.561497i 0.814570 0.0426898i 0.359499 0.933145i \(-0.382947\pi\)
0.455070 + 0.890455i \(0.349614\pi\)
\(174\) −17.1427 −1.29959
\(175\) −13.2168 0.561502i −0.999099 0.0424456i
\(176\) −3.30684 −0.249262
\(177\) −0.751959 + 0.0394085i −0.0565207 + 0.00296212i
\(178\) 6.90804 8.53072i 0.517780 0.639405i
\(179\) 19.3702 2.03589i 1.44779 0.152169i 0.652221 0.758029i \(-0.273837\pi\)
0.795572 + 0.605859i \(0.207171\pi\)
\(180\) −8.24467 11.5458i −0.614521 0.860574i
\(181\) 5.10657 7.02859i 0.379568 0.522431i −0.575902 0.817519i \(-0.695349\pi\)
0.955470 + 0.295088i \(0.0953489\pi\)
\(182\) −6.09188 0.801218i −0.451560 0.0593903i
\(183\) 42.6775 6.75946i 3.15481 0.499673i
\(184\) 0.000138905 0 0.000653499i 1.02402e−5 0 4.81766e-5i
\(185\) −14.4613 4.00231i −1.06321 0.294256i
\(186\) 0.483343 + 0.102738i 0.0354404 + 0.00753309i
\(187\) −5.11354 + 7.87417i −0.373939 + 0.575816i
\(188\) 8.35364 4.25639i 0.609251 0.310429i
\(189\) −11.6493 24.4152i −0.847362 1.77595i
\(190\) 3.09788 + 11.9528i 0.224744 + 0.867147i
\(191\) 2.25105 0.478476i 0.162880 0.0346213i −0.125750 0.992062i \(-0.540134\pi\)
0.288630 + 0.957441i \(0.406800\pi\)
\(192\) −1.09550 + 2.85388i −0.0790611 + 0.205961i
\(193\) 0.493472 + 1.84166i 0.0355209 + 0.132566i 0.981409 0.191926i \(-0.0614734\pi\)
−0.945888 + 0.324492i \(0.894807\pi\)
\(194\) 0.671171 6.38576i 0.0481872 0.458471i
\(195\) −1.52976 15.8005i −0.109548 1.13149i
\(196\) 2.51025 + 6.53442i 0.179303 + 0.466744i
\(197\) −16.8279 2.66527i −1.19894 0.189893i −0.475142 0.879909i \(-0.657603\pi\)
−0.723794 + 0.690016i \(0.757603\pi\)
\(198\) −1.09807 20.9524i −0.0780362 1.48902i
\(199\) 5.69201 9.85884i 0.403496 0.698875i −0.590650 0.806928i \(-0.701128\pi\)
0.994145 + 0.108053i \(0.0344617\pi\)
\(200\) −3.59306 + 3.47706i −0.254068 + 0.245865i
\(201\) 29.5062 17.0354i 2.08121 1.20159i
\(202\) −9.52868 4.85510i −0.670436 0.341604i
\(203\) −0.386489 + 14.8319i −0.0271262 + 1.04100i
\(204\) 5.10156 + 7.02170i 0.357181 + 0.491617i
\(205\) 22.7705 + 0.186794i 1.59036 + 0.0130463i
\(206\) 2.52456 + 5.67026i 0.175895 + 0.395066i
\(207\) −0.00409449 + 0.00109712i −0.000284587 + 7.62548e-5i
\(208\) −1.80480 + 1.46150i −0.125140 + 0.101337i
\(209\) −5.64283 + 17.3669i −0.390323 + 1.20129i
\(210\) −14.9865 + 10.1228i −1.03417 + 0.698537i
\(211\) 0.353073 + 1.08665i 0.0243066 + 0.0748079i 0.962474 0.271374i \(-0.0874780\pi\)
−0.938167 + 0.346182i \(0.887478\pi\)
\(212\) 2.91062 + 1.89018i 0.199902 + 0.129818i
\(213\) 0.0592416 1.13040i 0.00405917 0.0774535i
\(214\) 0.132607 0.623866i 0.00906482 0.0426466i
\(215\) −7.43534 + 14.3014i −0.507086 + 0.975349i
\(216\) −9.72425 3.15960i −0.661652 0.214984i
\(217\) 0.0997860 0.415873i 0.00677391 0.0282313i
\(218\) 2.52473 2.52473i 0.170997 0.170997i
\(219\) 50.0168 + 5.25697i 3.37982 + 0.355233i
\(220\) −7.24510 + 1.47798i −0.488465 + 0.0996456i
\(221\) 0.689225 + 6.55754i 0.0463623 + 0.441108i
\(222\) −19.1506 + 7.35125i −1.28531 + 0.493383i
\(223\) −1.03649 + 2.03423i −0.0694085 + 0.136222i −0.923104 0.384551i \(-0.874356\pi\)
0.853695 + 0.520773i \(0.174356\pi\)
\(224\) 2.44448 + 1.01217i 0.163329 + 0.0676286i
\(225\) −23.2240 21.6113i −1.54827 1.44075i
\(226\) 0.0235087 + 0.0407182i 0.00156377 + 0.00270853i
\(227\) 0.693409 0.450305i 0.0460232 0.0298878i −0.521422 0.853299i \(-0.674598\pi\)
0.567446 + 0.823411i \(0.307932\pi\)
\(228\) 13.1186 + 10.6233i 0.868803 + 0.703542i
\(229\) −7.29016 3.24579i −0.481747 0.214488i 0.151470 0.988462i \(-0.451599\pi\)
−0.633217 + 0.773974i \(0.718266\pi\)
\(230\) 0.000596414 0.00136970i 3.93263e−5 9.03151e-5i
\(231\) −26.7360 + 0.703529i −1.75910 + 0.0462888i
\(232\) 3.96535 + 3.96535i 0.260338 + 0.260338i
\(233\) −13.4556 16.6163i −0.881508 1.08857i −0.995469 0.0950860i \(-0.969687\pi\)
0.113962 0.993485i \(-0.463646\pi\)
\(234\) −9.85945 10.9500i −0.644533 0.715826i
\(235\) 16.4000 13.0591i 1.06982 0.851885i
\(236\) 0.183054 + 0.164822i 0.0119158 + 0.0107290i
\(237\) −19.2185 37.7185i −1.24838 2.45008i
\(238\) 6.19020 4.25557i 0.401251 0.275848i
\(239\) −5.40303 + 1.75555i −0.349493 + 0.113557i −0.478502 0.878086i \(-0.658820\pi\)
0.129010 + 0.991643i \(0.458820\pi\)
\(240\) −1.12465 + 6.74233i −0.0725959 + 0.435215i
\(241\) 8.80814 7.93088i 0.567382 0.510873i −0.334765 0.942302i \(-0.608657\pi\)
0.902147 + 0.431429i \(0.141990\pi\)
\(242\) 0.0605052 + 0.0232258i 0.00388942 + 0.00149301i
\(243\) 1.73069 6.45904i 0.111024 0.414347i
\(244\) −11.4354 8.30833i −0.732079 0.531886i
\(245\) 8.42035 + 13.1946i 0.537957 + 0.842972i
\(246\) 25.1851 18.2980i 1.60574 1.16664i
\(247\) 4.59576 + 11.9724i 0.292421 + 0.761783i
\(248\) −0.0880391 0.135568i −0.00559049 0.00860860i
\(249\) 36.5975 + 21.1296i 2.31927 + 1.33903i
\(250\) −6.31814 + 9.22394i −0.399594 + 0.583373i
\(251\) 12.5167i 0.790050i 0.918670 + 0.395025i \(0.129264\pi\)
−0.918670 + 0.395025i \(0.870736\pi\)
\(252\) −5.60148 + 15.8245i −0.352860 + 0.996852i
\(253\) −0.000345610 0.00218209i −2.17283e−5 0.000137187i
\(254\) −4.74746 + 10.6630i −0.297882 + 0.669054i
\(255\) 14.3156 + 13.1040i 0.896475 + 0.820605i
\(256\) 0.913545 0.406737i 0.0570966 0.0254210i
\(257\) −6.07356 1.62741i −0.378858 0.101515i 0.0643639 0.997926i \(-0.479498\pi\)
−0.443222 + 0.896412i \(0.646165\pi\)
\(258\) 3.44718 + 21.7646i 0.214612 + 1.35501i
\(259\) 5.92855 + 16.7349i 0.368382 + 1.03986i
\(260\) −3.30100 + 4.00871i −0.204720 + 0.248610i
\(261\) −23.8080 + 26.4415i −1.47368 + 1.63668i
\(262\) 18.0008 + 0.943382i 1.11209 + 0.0582824i
\(263\) 18.6544 + 0.977635i 1.15028 + 0.0602836i 0.617924 0.786238i \(-0.287974\pi\)
0.532355 + 0.846521i \(0.321307\pi\)
\(264\) −6.76407 + 7.51226i −0.416300 + 0.462348i
\(265\) 7.22183 + 2.84039i 0.443633 + 0.174484i
\(266\) 9.48703 11.1108i 0.581687 0.681244i
\(267\) −5.24928 33.1427i −0.321251 2.02830i
\(268\) −10.7657 2.88466i −0.657620 0.176209i
\(269\) 8.88806 3.95722i 0.541915 0.241276i −0.117477 0.993076i \(-0.537481\pi\)
0.659392 + 0.751800i \(0.270814\pi\)
\(270\) −22.7175 2.57628i −1.38254 0.156788i
\(271\) 2.31266 5.19432i 0.140484 0.315532i −0.829577 0.558392i \(-0.811419\pi\)
0.970062 + 0.242859i \(0.0780853\pi\)
\(272\) 0.444153 2.80427i 0.0269307 0.170034i
\(273\) −14.2810 + 12.2003i −0.864324 + 0.738393i
\(274\) 1.39262i 0.0841312i
\(275\) −15.2130 + 6.47636i −0.917381 + 0.390539i
\(276\) 0.00176870 + 0.00102116i 0.000106463 + 6.14667e-5i
\(277\) −0.942933 1.45199i −0.0566554 0.0872416i 0.809208 0.587523i \(-0.199897\pi\)
−0.865863 + 0.500281i \(0.833230\pi\)
\(278\) −1.32804 3.45966i −0.0796506 0.207497i
\(279\) 0.829736 0.602839i 0.0496750 0.0360910i
\(280\) 5.80812 + 1.12506i 0.347101 + 0.0672351i
\(281\) 9.12152 + 6.62717i 0.544144 + 0.395344i 0.825622 0.564224i \(-0.190825\pi\)
−0.281478 + 0.959568i \(0.590825\pi\)
\(282\) 7.41780 27.6836i 0.441724 1.64853i
\(283\) 24.3446 + 9.34501i 1.44714 + 0.555503i 0.950022 0.312182i \(-0.101060\pi\)
0.497113 + 0.867686i \(0.334393\pi\)
\(284\) −0.275179 + 0.247773i −0.0163289 + 0.0147026i
\(285\) 33.4902 + 17.4116i 1.98379 + 1.03138i
\(286\) −7.30375 + 2.37313i −0.431880 + 0.140326i
\(287\) −15.2637 22.2027i −0.900987 1.31059i
\(288\) 2.88046 + 5.65323i 0.169733 + 0.333120i
\(289\) 6.64282 + 5.98122i 0.390754 + 0.351836i
\(290\) 10.4602 + 6.91556i 0.614242 + 0.406095i
\(291\) −13.1339 14.5867i −0.769922 0.855086i
\(292\) −10.3535 12.7856i −0.605895 0.748218i
\(293\) 13.7859 + 13.7859i 0.805382 + 0.805382i 0.983931 0.178549i \(-0.0571403\pi\)
−0.178549 + 0.983931i \(0.557140\pi\)
\(294\) 19.9791 + 7.66341i 1.16521 + 0.446939i
\(295\) 0.474728 + 0.279301i 0.0276397 + 0.0162616i
\(296\) 6.13024 + 2.72936i 0.356313 + 0.158641i
\(297\) −26.2764 21.2782i −1.52471 1.23469i
\(298\) 8.29047 5.38389i 0.480254 0.311880i
\(299\) 0.000775777 0.00134368i 4.48643e−5 7.77073e-5i
\(300\) 0.549418 + 15.2747i 0.0317206 + 0.881887i
\(301\) 18.9085 2.49181i 1.08987 0.143626i
\(302\) −1.88251 + 3.69464i −0.108326 + 0.212602i
\(303\) −30.5202 + 11.7156i −1.75334 + 0.673045i
\(304\) −0.577213 5.49182i −0.0331055 0.314977i
\(305\) −28.7678 13.0921i −1.64724 0.749649i
\(306\) 17.9155 + 1.88300i 1.02416 + 0.107644i
\(307\) −8.04230 + 8.04230i −0.458998 + 0.458998i −0.898327 0.439328i \(-0.855216\pi\)
0.439328 + 0.898327i \(0.355216\pi\)
\(308\) 6.34713 + 6.02165i 0.361661 + 0.343116i
\(309\) 18.0453 + 5.86326i 1.02656 + 0.333549i
\(310\) −0.253481 0.257674i −0.0143967 0.0146349i
\(311\) 1.18806 5.58940i 0.0673689 0.316946i −0.931540 0.363638i \(-0.881535\pi\)
0.998909 + 0.0466920i \(0.0148679\pi\)
\(312\) −0.371544 + 7.08949i −0.0210346 + 0.401363i
\(313\) 6.07169 + 3.94300i 0.343192 + 0.222872i 0.704713 0.709492i \(-0.251076\pi\)
−0.361521 + 0.932364i \(0.617742\pi\)
\(314\) −6.98176 21.4877i −0.394004 1.21262i
\(315\) −5.19981 + 37.1742i −0.292976 + 2.09453i
\(316\) −4.27929 + 13.1703i −0.240729 + 0.740887i
\(317\) −17.7187 + 14.3483i −0.995183 + 0.805884i −0.980998 0.194016i \(-0.937849\pi\)
−0.0141849 + 0.999899i \(0.504515\pi\)
\(318\) 10.2476 2.74584i 0.574658 0.153979i
\(319\) 7.54263 + 16.9410i 0.422306 + 0.948515i
\(320\) 1.81974 1.29944i 0.101726 0.0726411i
\(321\) −1.14601 1.57735i −0.0639643 0.0880393i
\(322\) 0.000923387 0.00150726i 5.14584e−5 8.39965e-5i
\(323\) −13.9696 7.11785i −0.777287 0.396048i
\(324\) −10.5844 + 6.11088i −0.588019 + 0.339493i
\(325\) −5.44063 + 10.2582i −0.301792 + 0.569025i
\(326\) −5.24448 + 9.08370i −0.290465 + 0.503100i
\(327\) −0.571235 10.8998i −0.0315894 0.602761i
\(328\) −10.0582 1.59307i −0.555373 0.0879624i
\(329\) −23.7847 7.04203i −1.31129 0.388240i
\(330\) −11.4621 + 19.4821i −0.630969 + 1.07246i
\(331\) 2.09714 19.9530i 0.115269 1.09671i −0.772051 0.635560i \(-0.780769\pi\)
0.887320 0.461153i \(-0.152564\pi\)
\(332\) −3.57794 13.3531i −0.196365 0.732844i
\(333\) −15.2578 + 39.7480i −0.836123 + 2.17817i
\(334\) −21.2426 + 4.51526i −1.16235 + 0.247064i
\(335\) −24.8764 1.50843i −1.35914 0.0824144i
\(336\) 7.29953 3.48284i 0.398222 0.190005i
\(337\) −29.0821 + 14.8181i −1.58420 + 0.807192i −0.999990 0.00440773i \(-0.998597\pi\)
−0.584214 + 0.811600i \(0.698597\pi\)
\(338\) 4.14292 6.37953i 0.225345 0.347001i
\(339\) 0.140587 + 0.0298828i 0.00763566 + 0.00162301i
\(340\) −0.280247 6.34252i −0.0151985 0.343971i
\(341\) −0.111137 0.522859i −0.00601841 0.0283144i
\(342\) 34.6049 5.48087i 1.87122 0.296372i
\(343\) 7.08083 17.1132i 0.382329 0.924026i
\(344\) 4.23707 5.83183i 0.228448 0.314431i
\(345\) 0.00433154 + 0.00144679i 0.000233202 + 7.78926e-5i
\(346\) −10.6699 + 1.12145i −0.573619 + 0.0602898i
\(347\) −3.82254 + 4.72044i −0.205204 + 0.253406i −0.869350 0.494197i \(-0.835462\pi\)
0.664146 + 0.747603i \(0.268796\pi\)
\(348\) 17.1193 0.897182i 0.917688 0.0480940i
\(349\) −2.67562 −0.143223 −0.0716113 0.997433i \(-0.522814\pi\)
−0.0716113 + 0.997433i \(0.522814\pi\)
\(350\) 13.2281 0.130983i 0.707072 0.00700134i
\(351\) −23.7452 −1.26743
\(352\) 3.30231 0.173067i 0.176014 0.00922448i
\(353\) −10.6110 + 13.1035i −0.564766 + 0.697427i −0.976900 0.213695i \(-0.931450\pi\)
0.412135 + 0.911123i \(0.364783\pi\)
\(354\) 0.748866 0.0787090i 0.0398018 0.00418333i
\(355\) −0.492161 + 0.665847i −0.0261212 + 0.0353395i
\(356\) −6.45211 + 8.88057i −0.341961 + 0.470669i
\(357\) 2.99439 22.7672i 0.158480 1.20497i
\(358\) −19.2371 + 3.04685i −1.01671 + 0.161031i
\(359\) 1.10545 + 5.20073i 0.0583434 + 0.274484i 0.997643 0.0686130i \(-0.0218574\pi\)
−0.939300 + 0.343097i \(0.888524\pi\)
\(360\) 8.83763 + 11.0985i 0.465784 + 0.584942i
\(361\) −11.2421 2.38958i −0.591688 0.125767i
\(362\) −4.73172 + 7.28622i −0.248694 + 0.382955i
\(363\) 0.176525 0.0899439i 0.00926515 0.00472083i
\(364\) 6.12546 + 0.481296i 0.321062 + 0.0252268i
\(365\) −28.3985 23.3850i −1.48645 1.22402i
\(366\) −42.2653 + 8.98376i −2.20924 + 0.469589i
\(367\) −8.71942 + 22.7149i −0.455150 + 1.18571i 0.493603 + 0.869687i \(0.335680\pi\)
−0.948753 + 0.316019i \(0.897654\pi\)
\(368\) −0.000172917 0 0.000645333i −9.01390e−6 0 3.36403e-5i
\(369\) 6.75386 64.2586i 0.351592 3.34517i
\(370\) 14.6509 + 3.23998i 0.761664 + 0.168439i
\(371\) −2.14467 8.92816i −0.111346 0.463527i
\(372\) −0.488057 0.0773007i −0.0253046 0.00400785i
\(373\) −1.03180 19.6879i −0.0534246 1.01940i −0.885471 0.464695i \(-0.846164\pi\)
0.832046 0.554706i \(-0.187169\pi\)
\(374\) 4.69443 8.13100i 0.242743 0.420444i
\(375\) 8.03074 + 33.2205i 0.414706 + 1.71550i
\(376\) −8.11942 + 4.68775i −0.418727 + 0.241752i
\(377\) 11.6039 + 5.91248i 0.597631 + 0.304508i
\(378\) 12.9111 + 23.7721i 0.664077 + 1.22270i
\(379\) −3.80176 5.23267i −0.195283 0.268784i 0.700135 0.714011i \(-0.253123\pi\)
−0.895418 + 0.445226i \(0.853123\pi\)
\(380\) −3.71920 11.7743i −0.190791 0.604008i
\(381\) 14.5126 + 32.5959i 0.743504 + 1.66994i
\(382\) −2.22292 + 0.595631i −0.113735 + 0.0304751i
\(383\) 11.0143 8.91920i 0.562804 0.455750i −0.305213 0.952284i \(-0.598728\pi\)
0.868017 + 0.496534i \(0.165394\pi\)
\(384\) 0.944641 2.90730i 0.0482060 0.148363i
\(385\) 16.5976 + 10.3563i 0.845890 + 0.527805i
\(386\) −0.589181 1.81331i −0.0299885 0.0922952i
\(387\) 38.3578 + 24.9099i 1.94984 + 1.26624i
\(388\) −0.336046 + 6.41214i −0.0170601 + 0.325527i
\(389\) 0.539026 2.53592i 0.0273297 0.128576i −0.962368 0.271750i \(-0.912398\pi\)
0.989698 + 0.143174i \(0.0457309\pi\)
\(390\) 2.35460 + 15.6987i 0.119230 + 0.794937i
\(391\) −0.00180404 0.000586169i −9.12344e−5 2.96438e-5i
\(392\) −2.84879 6.39409i −0.143886 0.322950i
\(393\) 38.9634 38.9634i 1.96544 1.96544i
\(394\) 16.9443 + 1.78092i 0.853642 + 0.0897214i
\(395\) −3.48925 + 30.7680i −0.175563 + 1.54811i
\(396\) 2.19312 + 20.8662i 0.110209 + 1.04857i
\(397\) 37.0009 14.2033i 1.85702 0.712844i 0.891214 0.453582i \(-0.149854\pi\)
0.965807 0.259262i \(-0.0834792\pi\)
\(398\) −5.16823 + 10.1432i −0.259060 + 0.508434i
\(399\) −5.83518 44.2788i −0.292124 2.21671i
\(400\) 3.40616 3.66034i 0.170308 0.183017i
\(401\) −1.02087 1.76820i −0.0509800 0.0882999i 0.839409 0.543500i \(-0.182901\pi\)
−0.890389 + 0.455200i \(0.849568\pi\)
\(402\) −28.5742 + 18.5563i −1.42515 + 0.925505i
\(403\) −0.291740 0.236246i −0.0145326 0.0117683i
\(404\) 9.76972 + 4.34976i 0.486062 + 0.216409i
\(405\) −20.4585 + 18.1192i −1.01659 + 0.900352i
\(406\) −0.390284 14.8318i −0.0193695 0.736092i
\(407\) 15.6908 + 15.6908i 0.777765 + 0.777765i
\(408\) −5.46206 6.74508i −0.270412 0.333931i
\(409\) 22.5548 + 25.0496i 1.11526 + 1.23862i 0.968383 + 0.249469i \(0.0802560\pi\)
0.146879 + 0.989155i \(0.453077\pi\)
\(410\) −22.7490 + 1.00518i −1.12350 + 0.0496421i
\(411\) 3.16366 + 2.84857i 0.156052 + 0.140510i
\(412\) −2.81786 5.53036i −0.138826 0.272461i
\(413\) −0.0512157 0.649695i −0.00252016 0.0319694i
\(414\) 0.00403146 0.00130990i 0.000198135 6.43781e-5i
\(415\) −13.8072 27.6567i −0.677768 1.35761i
\(416\) 1.72584 1.55395i 0.0846161 0.0761887i
\(417\) −10.5759 4.05971i −0.517905 0.198805i
\(418\) 4.72619 17.6384i 0.231165 0.862721i
\(419\) −11.2688 8.18723i −0.550515 0.399972i 0.277461 0.960737i \(-0.410507\pi\)
−0.827975 + 0.560765i \(0.810507\pi\)
\(420\) 14.4362 10.8932i 0.704415 0.531535i
\(421\) −1.33338 + 0.968756i −0.0649848 + 0.0472143i −0.619803 0.784757i \(-0.712788\pi\)
0.554819 + 0.831971i \(0.312788\pi\)
\(422\) −0.409460 1.06668i −0.0199322 0.0519252i
\(423\) −32.3981 49.8886i −1.57525 2.42567i
\(424\) −3.00556 1.73526i −0.145963 0.0842717i
\(425\) −3.44878 13.7708i −0.167290 0.667984i
\(426\) 1.13195i 0.0548431i
\(427\) 6.81988 + 36.7705i 0.330037 + 1.77945i
\(428\) −0.0997745 + 0.629951i −0.00482278 + 0.0304498i
\(429\) −9.54854 + 21.4464i −0.461008 + 1.03544i
\(430\) 6.67667 14.6710i 0.321977 0.707496i
\(431\) 25.1043 11.1771i 1.20923 0.538384i 0.299704 0.954032i \(-0.403112\pi\)
0.909525 + 0.415648i \(0.136445\pi\)
\(432\) 9.87629 + 2.64634i 0.475173 + 0.127322i
\(433\) 0.781296 + 4.93291i 0.0375467 + 0.237061i 0.999324 0.0367737i \(-0.0117081\pi\)
−0.961777 + 0.273834i \(0.911708\pi\)
\(434\) −0.0778841 + 0.420525i −0.00373856 + 0.0201859i
\(435\) 37.1063 9.61708i 1.77911 0.461104i
\(436\) −2.38914 + 2.65341i −0.114419 + 0.127075i
\(437\) −0.00368423 0.000193082i −0.000176241 9.23637e-6i
\(438\) −50.2233 2.63209i −2.39976 0.125766i
\(439\) −3.95624 + 4.39385i −0.188821 + 0.209707i −0.830121 0.557583i \(-0.811729\pi\)
0.641300 + 0.767290i \(0.278395\pi\)
\(440\) 7.15782 1.85514i 0.341236 0.0884402i
\(441\) 39.5674 20.1734i 1.88416 0.960637i
\(442\) −1.03148 6.51248i −0.0490623 0.309767i
\(443\) 4.76682 + 1.27726i 0.226478 + 0.0606847i 0.370273 0.928923i \(-0.379264\pi\)
−0.143795 + 0.989607i \(0.545931\pi\)
\(444\) 18.7397 8.34344i 0.889345 0.395962i
\(445\) −10.1671 + 22.3406i −0.481965 + 1.05905i
\(446\) 0.928606 2.08568i 0.0439708 0.0987600i
\(447\) 4.72720 29.8464i 0.223589 1.41169i
\(448\) −2.49411 0.882851i −0.117836 0.0417108i
\(449\) 19.7518i 0.932146i −0.884746 0.466073i \(-0.845668\pi\)
0.884746 0.466073i \(-0.154332\pi\)
\(450\) 24.3232 + 20.3662i 1.14661 + 0.960073i
\(451\) −29.1639 16.8378i −1.37327 0.792860i
\(452\) −0.0256075 0.0394321i −0.00120447 0.00185473i
\(453\) 4.54260 + 11.8339i 0.213430 + 0.556004i
\(454\) −0.668892 + 0.485978i −0.0313926 + 0.0228081i
\(455\) 13.6357 1.68327i 0.639250 0.0789127i
\(456\) −13.6566 9.92212i −0.639530 0.464646i
\(457\) 6.85990 25.6015i 0.320893 1.19759i −0.597484 0.801881i \(-0.703833\pi\)
0.918377 0.395707i \(-0.129501\pi\)
\(458\) 7.45004 + 2.85980i 0.348118 + 0.133630i
\(459\) 21.5736 19.4250i 1.00697 0.906681i
\(460\) −0.000667281 0.00133661i −3.11121e−5 6.23195e-5i
\(461\) 26.1816 8.50693i 1.21940 0.396207i 0.372537 0.928018i \(-0.378488\pi\)
0.846863 + 0.531810i \(0.178488\pi\)
\(462\) 26.6625 2.10182i 1.24045 0.0977854i
\(463\) −9.11101 17.8814i −0.423425 0.831018i −0.999903 0.0139056i \(-0.995574\pi\)
0.576479 0.817112i \(-0.304426\pi\)
\(464\) −4.16744 3.75238i −0.193469 0.174200i
\(465\) −1.10386 + 0.0487744i −0.0511901 + 0.00226186i
\(466\) 14.3068 + 15.8893i 0.662751 + 0.736059i
\(467\) 3.47322 + 4.28907i 0.160722 + 0.198475i 0.851145 0.524931i \(-0.175909\pi\)
−0.690423 + 0.723406i \(0.742576\pi\)
\(468\) 10.4190 + 10.4190i 0.481620 + 0.481620i
\(469\) 15.4107 + 25.1408i 0.711602 + 1.16090i
\(470\) −15.6940 + 13.8996i −0.723912 + 0.641139i
\(471\) −63.0953 28.0918i −2.90728 1.29440i
\(472\) −0.191429 0.155016i −0.00881124 0.00713520i
\(473\) 19.9918 12.9828i 0.919223 0.596950i
\(474\) 21.1662 + 36.6610i 0.972196 + 1.68389i
\(475\) −13.4110 24.1345i −0.615340 1.10737i
\(476\) −5.95900 + 4.57371i −0.273130 + 0.209636i
\(477\) 9.99671 19.6196i 0.457718 0.898322i
\(478\) 5.30374 2.03592i 0.242588 0.0931206i
\(479\) −2.90004 27.5921i −0.132506 1.26071i −0.835489 0.549507i \(-0.814816\pi\)
0.702983 0.711207i \(-0.251851\pi\)
\(480\) 0.770243 6.79195i 0.0351566 0.310009i
\(481\) 15.4985 + 1.62895i 0.706669 + 0.0742739i
\(482\) −8.38100 + 8.38100i −0.381744 + 0.381744i
\(483\) −0.00153533 0.00518077i −6.98601e−5 0.000235733i
\(484\) −0.0616378 0.0200273i −0.00280172 0.000910334i
\(485\) 2.12963 + 14.1988i 0.0967015 + 0.644736i
\(486\) −1.39028 + 6.54076i −0.0630645 + 0.296695i
\(487\) 0.592952 11.3142i 0.0268692 0.512695i −0.951732 0.306930i \(-0.900698\pi\)
0.978601 0.205765i \(-0.0659683\pi\)
\(488\) 11.8546 + 7.69846i 0.536632 + 0.348493i
\(489\) 9.90829 + 30.4946i 0.448068 + 1.37901i
\(490\) −9.09937 12.7358i −0.411068 0.575346i
\(491\) −3.17666 + 9.77674i −0.143361 + 0.441218i −0.996797 0.0799793i \(-0.974515\pi\)
0.853436 + 0.521198i \(0.174515\pi\)
\(492\) −24.1929 + 19.5910i −1.09070 + 0.883233i
\(493\) −15.3794 + 4.12090i −0.692655 + 0.185596i
\(494\) −5.21605 11.7154i −0.234681 0.527102i
\(495\) 14.1311 + 44.7364i 0.635146 + 2.01075i
\(496\) 0.0950135 + 0.130775i 0.00426623 + 0.00587197i
\(497\) 0.979363 + 0.0255202i 0.0439305 + 0.00114474i
\(498\) −37.6532 19.1853i −1.68728 0.859713i
\(499\) −11.7092 + 6.76030i −0.524175 + 0.302633i −0.738641 0.674099i \(-0.764532\pi\)
0.214466 + 0.976731i \(0.431199\pi\)
\(500\) 5.82673 9.54197i 0.260579 0.426730i
\(501\) −33.1939 + 57.4935i −1.48299 + 2.56862i
\(502\) −0.655076 12.4996i −0.0292375 0.557884i
\(503\) −4.65870 0.737865i −0.207721 0.0328998i 0.0517066 0.998662i \(-0.483534\pi\)
−0.259428 + 0.965763i \(0.583534\pi\)
\(504\) 4.76561 16.0960i 0.212277 0.716973i
\(505\) 23.3490 + 5.16353i 1.03902 + 0.229774i
\(506\) 0.000230934 0.00219719i 1.02663e−5 9.76771e-5i
\(507\) −6.01836 22.4608i −0.267285 0.997520i
\(508\) 4.18290 10.8968i 0.185586 0.483468i
\(509\) 25.8495 5.49449i 1.14576 0.243539i 0.404359 0.914601i \(-0.367495\pi\)
0.741401 + 0.671062i \(0.234161\pi\)
\(510\) −14.9818 12.3368i −0.663403 0.546284i
\(511\) −3.40960 + 43.3940i −0.150832 + 1.91964i
\(512\) −0.891007 + 0.453990i −0.0393773 + 0.0200637i
\(513\) 30.7511 47.3525i 1.35769 2.09066i
\(514\) 6.15041 + 1.30731i 0.271283 + 0.0576630i
\(515\) −8.64555 10.8573i −0.380969 0.478429i
\(516\) −4.58153 21.5544i −0.201690 0.948879i
\(517\) −30.6216 + 4.84998i −1.34674 + 0.213302i
\(518\) −6.79626 16.4017i −0.298611 0.720649i
\(519\) −19.2775 + 26.5332i −0.846187 + 1.16468i
\(520\) 3.08668 4.17598i 0.135360 0.183129i
\(521\) −2.60103 + 0.273379i −0.113953 + 0.0119770i −0.161333 0.986900i \(-0.551579\pi\)
0.0473802 + 0.998877i \(0.484913\pi\)
\(522\) 22.3915 27.6512i 0.980050 1.21026i
\(523\) −8.20732 + 0.430127i −0.358881 + 0.0188082i −0.230925 0.972972i \(-0.574175\pi\)
−0.127956 + 0.991780i \(0.540842\pi\)
\(524\) −18.0255 −0.787448
\(525\) 26.7603 30.3187i 1.16791 1.32322i
\(526\) −18.6800 −0.814486
\(527\) 0.458323 0.0240197i 0.0199648 0.00104631i
\(528\) 6.36164 7.85597i 0.276855 0.341887i
\(529\) 22.8740 2.40415i 0.994522 0.104528i
\(530\) −7.36058 2.45853i −0.319723 0.106792i
\(531\) 0.918628 1.26438i 0.0398651 0.0548696i
\(532\) −8.89253 + 11.5920i −0.385540 + 0.502579i
\(533\) −23.3587 + 3.69965i −1.01178 + 0.160250i
\(534\) 6.97664 + 32.8225i 0.301909 + 1.42037i
\(535\) 0.0629546 + 1.42478i 0.00272177 + 0.0615987i
\(536\) 10.9019 + 2.31728i 0.470891 + 0.100091i
\(537\) −32.4274 + 49.9338i −1.39934 + 2.15480i
\(538\) −8.66878 + 4.41696i −0.373737 + 0.190429i
\(539\) −1.21738 23.1158i −0.0524363 0.995670i
\(540\) 22.8212 + 1.38381i 0.982067 + 0.0595498i
\(541\) −1.92089 + 0.408298i −0.0825855 + 0.0175541i −0.249019 0.968499i \(-0.580108\pi\)
0.166434 + 0.986053i \(0.446775\pi\)
\(542\) −2.03764 + 5.30823i −0.0875241 + 0.228008i
\(543\) 6.87371 + 25.6530i 0.294979 + 1.10088i
\(544\) −0.296780 + 2.82367i −0.0127243 + 0.121064i
\(545\) −4.04854 + 6.88129i −0.173420 + 0.294762i
\(546\) 13.6229 12.9309i 0.583006 0.553393i
\(547\) 22.1574 + 3.50939i 0.947383 + 0.150051i 0.610961 0.791661i \(-0.290783\pi\)
0.336422 + 0.941711i \(0.390783\pi\)
\(548\) −0.0728840 1.39071i −0.00311345 0.0594082i
\(549\) −44.8416 + 77.6679i −1.91379 + 3.31478i
\(550\) 14.8532 7.26367i 0.633344 0.309724i
\(551\) −26.8181 + 15.4835i −1.14249 + 0.659618i
\(552\) −0.00181972 0.000927196i −7.74526e−5 3.94641e-5i
\(553\) 32.1963 17.4865i 1.36913 0.743602i
\(554\) 1.01763 + 1.40065i 0.0432350 + 0.0595079i
\(555\) 37.3285 26.6557i 1.58451 1.13147i
\(556\) 1.50728 + 3.38542i 0.0639231 + 0.143574i
\(557\) 41.4158 11.0973i 1.75485 0.470209i 0.769196 0.639013i \(-0.220657\pi\)
0.985650 + 0.168804i \(0.0539905\pi\)
\(558\) −0.797049 + 0.645437i −0.0337418 + 0.0273235i
\(559\) 5.17316 15.9213i 0.218801 0.673401i
\(560\) −5.85904 0.819543i −0.247590 0.0346320i
\(561\) −8.86911 27.2963i −0.374454 1.15245i
\(562\) −9.45586 6.14070i −0.398871 0.259030i
\(563\) 1.41813 27.0596i 0.0597672 1.14043i −0.789944 0.613179i \(-0.789891\pi\)
0.849712 0.527248i \(-0.176776\pi\)
\(564\) −5.95879 + 28.0339i −0.250910 + 1.18044i
\(565\) −0.0737286 0.0749483i −0.00310179 0.00315310i
\(566\) −24.8003 8.05811i −1.04243 0.338708i
\(567\) 31.4433 + 7.54460i 1.32049 + 0.316844i
\(568\) 0.261835 0.261835i 0.0109863 0.0109863i
\(569\) −39.7449 4.17735i −1.66619 0.175124i −0.776007 0.630725i \(-0.782758\pi\)
−0.890184 + 0.455601i \(0.849424\pi\)
\(570\) −34.3556 15.6350i −1.43900 0.654879i
\(571\) −4.92287 46.8380i −0.206016 1.96011i −0.272025 0.962290i \(-0.587693\pi\)
0.0660095 0.997819i \(-0.478973\pi\)
\(572\) 7.16954 2.75213i 0.299774 0.115072i
\(573\) −3.19383 + 6.26825i −0.133424 + 0.261860i
\(574\) 16.4048 + 21.3735i 0.684722 + 0.892111i
\(575\) −0.00205937 0.00263019i −8.58815e−5 0.000109686i
\(576\) −3.17238 5.49473i −0.132183 0.228947i
\(577\) 17.9969 11.6873i 0.749221 0.486550i −0.112677 0.993632i \(-0.535942\pi\)
0.861898 + 0.507082i \(0.169276\pi\)
\(578\) −6.94674 5.62536i −0.288946 0.233984i
\(579\) −5.32452 2.37063i −0.221280 0.0985200i
\(580\) −10.8078 6.35864i −0.448768 0.264028i
\(581\) −17.4480 + 32.1451i −0.723867 + 1.33360i
\(582\) 13.8793 + 13.8793i 0.575316 + 0.575316i
\(583\) −7.22237 8.91888i −0.299120 0.369382i
\(584\) 11.0085 + 12.2262i 0.455535 + 0.505923i
\(585\) 27.4843 + 18.1707i 1.13633 + 0.751268i
\(586\) −14.4885 13.0455i −0.598516 0.538906i
\(587\) 5.53059 + 10.8544i 0.228272 + 0.448009i 0.976525 0.215405i \(-0.0691071\pi\)
−0.748253 + 0.663413i \(0.769107\pi\)
\(588\) −20.3528 6.60728i −0.839336 0.272480i
\(589\) 0.848936 0.275836i 0.0349798 0.0113656i
\(590\) −0.488695 0.254073i −0.0201192 0.0104600i
\(591\) 38.7050 34.8501i 1.59211 1.43354i
\(592\) −6.26469 2.40479i −0.257477 0.0988362i
\(593\) −5.75696 + 21.4853i −0.236410 + 0.882294i 0.741098 + 0.671396i \(0.234305\pi\)
−0.977508 + 0.210897i \(0.932361\pi\)
\(594\) 27.3540 + 19.8738i 1.12235 + 0.815434i
\(595\) −11.0116 + 12.6841i −0.451433 + 0.519998i
\(596\) −7.99733 + 5.81040i −0.327584 + 0.238003i
\(597\) 12.4712 + 32.4886i 0.510413 + 1.32967i
\(598\) −0.000845037 0.00130124i −3.45561e−5 5.32118e-5i
\(599\) −19.7614 11.4092i −0.807429 0.466169i 0.0386334 0.999253i \(-0.487700\pi\)
−0.846062 + 0.533084i \(0.821033\pi\)
\(600\) −1.34808 15.2250i −0.0550352 0.621560i
\(601\) 44.8690i 1.83025i −0.403175 0.915123i \(-0.632093\pi\)
0.403175 0.915123i \(-0.367907\pi\)
\(602\) −18.7522 + 3.47799i −0.764282 + 0.141752i
\(603\) −11.0623 + 69.8448i −0.450493 + 2.84430i
\(604\) 1.68657 3.78810i 0.0686255 0.154135i
\(605\) −0.143996 0.0163299i −0.00585428 0.000663906i
\(606\) 29.8653 13.2969i 1.21319 0.540148i
\(607\) −0.0593539 0.0159038i −0.00240910 0.000645516i 0.257614 0.966248i \(-0.417064\pi\)
−0.260023 + 0.965602i \(0.583730\pi\)
\(608\) 0.863842 + 5.45408i 0.0350334 + 0.221192i
\(609\) −34.4923 29.4516i −1.39770 1.19344i
\(610\) 29.4136 + 11.5685i 1.19092 + 0.468396i
\(611\) −14.5691 + 16.1806i −0.589402 + 0.654597i
\(612\) −17.9895 0.942792i −0.727184 0.0381101i
\(613\) −18.2191 0.954820i −0.735861 0.0385648i −0.319276 0.947662i \(-0.603440\pi\)
−0.416585 + 0.909097i \(0.636773\pi\)
\(614\) 7.61038 8.45218i 0.307130 0.341102i
\(615\) −44.2492 + 53.7359i −1.78430 + 2.16684i
\(616\) −6.65358 5.68122i −0.268080 0.228903i
\(617\) −3.44642 21.7598i −0.138748 0.876018i −0.954629 0.297798i \(-0.903748\pi\)
0.815881 0.578219i \(-0.196252\pi\)
\(618\) −18.3274 4.91081i −0.737236 0.197542i
\(619\) −33.1133 + 14.7430i −1.33094 + 0.592570i −0.944125 0.329589i \(-0.893090\pi\)
−0.386810 + 0.922159i \(0.626423\pi\)
\(620\) 0.266619 + 0.244055i 0.0107077 + 0.00980147i
\(621\) 0.00277846 0.00624051i 0.000111496 0.000250423i
\(622\) −0.893909 + 5.64392i −0.0358425 + 0.226300i
\(623\) 28.5554 5.29621i 1.14405 0.212188i
\(624\) 7.09922i 0.284196i
\(625\) 8.50129 23.5102i 0.340052 0.940407i
\(626\) −6.26973 3.61983i −0.250589 0.144678i
\(627\) −30.4024 46.8156i −1.21415 1.86963i
\(628\) 8.09677 + 21.0928i 0.323096 + 0.841695i
\(629\) −15.4136 + 11.1987i −0.614582 + 0.446520i
\(630\) 3.24713 37.3954i 0.129369 1.48987i
\(631\) 5.81462 + 4.22457i 0.231476 + 0.168177i 0.697477 0.716607i \(-0.254306\pi\)
−0.466001 + 0.884784i \(0.654306\pi\)
\(632\) 3.58414 13.3762i 0.142569 0.532077i
\(633\) −3.26076 1.25169i −0.129603 0.0497501i
\(634\) 16.9435 15.2560i 0.672913 0.605894i
\(635\) 4.29419 25.7439i 0.170410 1.02161i
\(636\) −10.0899 + 3.27840i −0.400089 + 0.129997i
\(637\) −10.8807 12.0781i −0.431111 0.478551i
\(638\) −8.41892 16.5231i −0.333308 0.654154i
\(639\) 1.74595 + 1.57206i 0.0690686 + 0.0621897i
\(640\) −1.74924 + 1.39290i −0.0691446 + 0.0550592i
\(641\) 7.56118 + 8.39754i 0.298649 + 0.331683i 0.873728 0.486415i \(-0.161696\pi\)
−0.575079 + 0.818098i \(0.695029\pi\)
\(642\) 1.22700 + 1.51521i 0.0484257 + 0.0598007i
\(643\) 12.2499 + 12.2499i 0.483089 + 0.483089i 0.906117 0.423028i \(-0.139033\pi\)
−0.423028 + 0.906117i \(0.639033\pi\)
\(644\) −0.000843238 0.00155352i −3.32282e−5 6.12174e-5i
\(645\) −19.6715 45.1768i −0.774566 1.77883i
\(646\) 14.3229 + 6.37698i 0.563528 + 0.250899i
\(647\) 17.0140 + 13.7777i 0.668890 + 0.541656i 0.902509 0.430672i \(-0.141723\pi\)
−0.233619 + 0.972328i \(0.575057\pi\)
\(648\) 10.2500 6.65644i 0.402659 0.261490i
\(649\) −0.407276 0.705422i −0.0159870 0.0276903i
\(650\) 4.89630 10.5289i 0.192049 0.412978i
\(651\) 0.796012 + 1.03711i 0.0311982 + 0.0406475i
\(652\) 4.76189 9.34573i 0.186490 0.366007i
\(653\) 12.3772 4.75116i 0.484357 0.185927i −0.103922 0.994585i \(-0.533139\pi\)
0.588279 + 0.808658i \(0.299806\pi\)
\(654\) 1.14091 + 10.8550i 0.0446129 + 0.424464i
\(655\) −39.4929 + 8.05645i −1.54312 + 0.314792i
\(656\) 10.1278 + 1.06448i 0.395425 + 0.0415608i
\(657\) −73.8104 + 73.8104i −2.87962 + 2.87962i
\(658\) 24.1206 + 5.78759i 0.940320 + 0.225624i
\(659\) 4.22188 + 1.37177i 0.164461 + 0.0534366i 0.390090 0.920777i \(-0.372444\pi\)
−0.225629 + 0.974213i \(0.572444\pi\)
\(660\) 10.4268 20.0553i 0.405863 0.780652i
\(661\) 1.44995 6.82150i 0.0563967 0.265326i −0.940911 0.338653i \(-0.890029\pi\)
0.997308 + 0.0733278i \(0.0233619\pi\)
\(662\) −1.05001 + 20.0354i −0.0408098 + 0.778697i
\(663\) −16.9045 10.9779i −0.656516 0.426347i
\(664\) 4.27188 + 13.1475i 0.165781 + 0.510222i
\(665\) −14.3020 + 29.3720i −0.554608 + 1.13900i
\(666\) 13.1567 40.4920i 0.509810 1.56903i
\(667\) −0.00291165 + 0.00235781i −0.000112740 + 9.12947e-5i
\(668\) 20.9772 5.62083i 0.811633 0.217476i
\(669\) −2.83868 6.37577i −0.109750 0.246502i
\(670\) 24.9212 + 0.204437i 0.962790 + 0.00789809i
\(671\) 27.4743 + 37.8152i 1.06063 + 1.45984i
\(672\) −7.10725 + 3.86010i −0.274168 + 0.148907i
\(673\) 27.8246 + 14.1774i 1.07256 + 0.546497i 0.898831 0.438296i \(-0.144418\pi\)
0.173730 + 0.984793i \(0.444418\pi\)
\(674\) 28.2667 16.3198i 1.08879 0.628616i
\(675\) 50.6184 7.16801i 1.94830 0.275897i
\(676\) −3.80336 + 6.58761i −0.146283 + 0.253370i
\(677\) 0.567426 + 10.8271i 0.0218080 + 0.416121i 0.987619 + 0.156873i \(0.0501413\pi\)
−0.965811 + 0.259248i \(0.916525\pi\)
\(678\) −0.141959 0.0224841i −0.00545189 0.000863495i
\(679\) 12.3213 11.6955i 0.472848 0.448831i
\(680\) 0.611804 + 6.31916i 0.0234616 + 0.242329i
\(681\) −0.264190 + 2.51360i −0.0101238 + 0.0963215i
\(682\) 0.138349 + 0.516326i 0.00529766 + 0.0197711i
\(683\) 3.04705 7.93782i 0.116592 0.303732i −0.862850 0.505461i \(-0.831323\pi\)
0.979441 + 0.201728i \(0.0646558\pi\)
\(684\) −34.2706 + 7.28444i −1.31037 + 0.278528i
\(685\) −0.781259 3.01439i −0.0298504 0.115174i
\(686\) −6.17549 + 17.4603i −0.235781 + 0.666639i
\(687\) 21.7356 11.0749i 0.829266 0.422532i
\(688\) −3.92605 + 6.04559i −0.149679 + 0.230486i
\(689\) −7.88362 1.67571i −0.300342 0.0638396i
\(690\) −0.00440132 0.00121811i −0.000167555 4.63728e-5i
\(691\) −4.32406 20.3431i −0.164495 0.773888i −0.980606 0.195992i \(-0.937207\pi\)
0.816111 0.577896i \(-0.196126\pi\)
\(692\) 10.5966 1.67834i 0.402823 0.0638008i
\(693\) 33.7872 44.0440i 1.28347 1.67309i
\(694\) 3.57025 4.91403i 0.135525 0.186534i
\(695\) 4.81548 + 6.74358i 0.182662 + 0.255799i
\(696\) −17.0488 + 1.79191i −0.646235 + 0.0679220i
\(697\) 18.1959 22.4701i 0.689219 0.851114i
\(698\) 2.67195 0.140031i 0.101135 0.00530025i
\(699\) 65.3607 2.47217
\(700\) −13.2031 + 0.823109i −0.499031 + 0.0311106i
\(701\) −51.8642 −1.95889 −0.979443 0.201723i \(-0.935346\pi\)
−0.979443 + 0.201723i \(0.935346\pi\)
\(702\) 23.7127 1.24273i 0.894978 0.0469038i
\(703\) −23.3196 + 28.7973i −0.879515 + 1.08611i
\(704\) −3.28872 + 0.345659i −0.123948 + 0.0130275i
\(705\) −0.525702 + 64.0839i −0.0197991 + 2.41354i
\(706\) 9.91066 13.6408i 0.372993 0.513380i
\(707\) −10.8312 26.1393i −0.407347 0.983068i
\(708\) −0.743720 + 0.117794i −0.0279507 + 0.00442696i
\(709\) 4.89175 + 23.0139i 0.183714 + 0.864305i 0.969363 + 0.245633i \(0.0789957\pi\)
−0.785649 + 0.618672i \(0.787671\pi\)
\(710\) 0.456639 0.690692i 0.0171374 0.0259212i
\(711\) 85.9427 + 18.2677i 3.22310 + 0.685092i
\(712\) 5.97850 9.20608i 0.224054 0.345012i
\(713\) 9.62250e−5 0 4.90291e-5i 3.60366e−6 0 1.83615e-6i
\(714\) −1.79875 + 22.8927i −0.0673164 + 0.856737i
\(715\) 14.4780 9.23417i 0.541447 0.345338i
\(716\) 19.0512 4.04946i 0.711978 0.151336i
\(717\) 6.22363 16.2131i 0.232426 0.605490i
\(718\) −1.37612 5.13575i −0.0513563 0.191664i
\(719\) 1.89177 17.9990i 0.0705511 0.671249i −0.900903 0.434021i \(-0.857094\pi\)
0.971454 0.237228i \(-0.0762389\pi\)
\(720\) −9.40637 10.6208i −0.350555 0.395812i
\(721\) −4.66204 + 15.7462i −0.173623 + 0.586418i
\(722\) 11.3517 + 1.79794i 0.422468 + 0.0669123i
\(723\) 1.89625 + 36.1826i 0.0705222 + 1.34564i
\(724\) 4.34391 7.52387i 0.161440 0.279622i
\(725\) −26.5212 9.10092i −0.984971 0.338000i
\(726\) −0.171576 + 0.0990593i −0.00636777 + 0.00367643i
\(727\) 46.9251 + 23.9095i 1.74035 + 0.886755i 0.967767 + 0.251846i \(0.0810378\pi\)
0.772587 + 0.634908i \(0.218962\pi\)
\(728\) −6.14226 0.160054i −0.227647 0.00593201i
\(729\) −9.53622 13.1255i −0.353193 0.486129i
\(730\) 29.5835 + 21.8666i 1.09493 + 0.809321i
\(731\) 8.32454 + 18.6972i 0.307894 + 0.691542i
\(732\) 41.7372 11.1834i 1.54265 0.413352i
\(733\) 2.90955 2.35611i 0.107467 0.0870247i −0.574081 0.818798i \(-0.694641\pi\)
0.681548 + 0.731774i \(0.261307\pi\)
\(734\) 7.51866 23.1401i 0.277519 0.854115i
\(735\) −47.5450 5.37954i −1.75372 0.198427i
\(736\) 0.000206454 0 0.000635399i 7.60999e−6 0 2.34211e-5i
\(737\) 30.9103 + 20.0734i 1.13860 + 0.739413i
\(738\) −3.38156 + 64.5241i −0.124477 + 2.37516i
\(739\) 6.46826 30.4308i 0.237939 1.11941i −0.683215 0.730217i \(-0.739419\pi\)
0.921154 0.389197i \(-0.127248\pi\)
\(740\) −14.8004 2.46877i −0.544073 0.0907539i
\(741\) −37.2837 12.1142i −1.36965 0.445026i
\(742\) 2.60899 + 8.80368i 0.0957792 + 0.323193i
\(743\) −1.15902 + 1.15902i −0.0425202 + 0.0425202i −0.728047 0.685527i \(-0.759572\pi\)
0.685527 + 0.728047i \(0.259572\pi\)
\(744\) 0.491434 + 0.0516518i 0.0180169 + 0.00189365i
\(745\) −14.9248 + 16.3047i −0.546801 + 0.597356i
\(746\) 2.06077 + 19.6069i 0.0754502 + 0.717861i
\(747\) −81.8850 + 31.4327i −2.99602 + 1.15006i
\(748\) −4.26246 + 8.36554i −0.155851 + 0.305875i
\(749\) 1.33863 1.02744i 0.0489124 0.0375418i
\(750\) −9.75836 32.7547i −0.356325 1.19603i
\(751\) 13.3236 + 23.0771i 0.486184 + 0.842096i 0.999874 0.0158803i \(-0.00505507\pi\)
−0.513690 + 0.857976i \(0.671722\pi\)
\(752\) 7.86296 5.10627i 0.286733 0.186206i
\(753\) −29.7357 24.0795i −1.08363 0.877506i
\(754\) −11.8974 5.29707i −0.433278 0.192908i
\(755\) 2.00210 9.05332i 0.0728639 0.329484i
\(756\) −14.1376 23.0638i −0.514178 0.838822i
\(757\) 8.99113 + 8.99113i 0.326788 + 0.326788i 0.851364 0.524576i \(-0.175776\pi\)
−0.524576 + 0.851364i \(0.675776\pi\)
\(758\) 4.07040 + 5.02653i 0.147844 + 0.182572i
\(759\) −0.00451907 0.00501893i −0.000164032 0.000182176i
\(760\) 4.33032 + 11.5635i 0.157077 + 0.419452i
\(761\) −12.7269 11.4594i −0.461351 0.415402i 0.405403 0.914138i \(-0.367131\pi\)
−0.866754 + 0.498736i \(0.833798\pi\)
\(762\) −16.1987 31.7917i −0.586815 1.15169i
\(763\) 9.41748 0.742384i 0.340936 0.0268761i
\(764\) 2.18871 0.711153i 0.0791846 0.0257286i
\(765\) −39.8355 + 5.97477i −1.44025 + 0.216018i
\(766\) −10.5324 + 9.48342i −0.380551 + 0.342650i
\(767\) −0.534052 0.205003i −0.0192835 0.00740224i
\(768\) −0.791189 + 2.95276i −0.0285496 + 0.106549i
\(769\) −8.66637 6.29649i −0.312517 0.227057i 0.420459 0.907312i \(-0.361869\pi\)
−0.732976 + 0.680255i \(0.761869\pi\)
\(770\) −17.1168 9.47344i −0.616847 0.341399i
\(771\) 15.5504 11.2980i 0.560034 0.406889i
\(772\) 0.683275 + 1.77999i 0.0245916 + 0.0640633i
\(773\) 8.77769 + 13.5165i 0.315712 + 0.486153i 0.960528 0.278185i \(-0.0897327\pi\)
−0.644816 + 0.764338i \(0.723066\pi\)
\(774\) −39.6089 22.8682i −1.42371 0.821982i
\(775\) 0.693227 + 0.415545i 0.0249014 + 0.0149268i
\(776\) 6.42094i 0.230498i
\(777\) −51.1619 18.1100i −1.83542 0.649694i
\(778\) −0.405568 + 2.56065i −0.0145403 + 0.0918039i
\(779\) 22.8727 51.3728i 0.819498 1.84062i
\(780\) −3.17298 15.5540i −0.113611 0.556922i
\(781\) 1.11863 0.498045i 0.0400277 0.0178215i
\(782\) 0.00183225 0.000490949i 6.55211e−5 1.75563e-5i
\(783\) −8.96971 56.6325i −0.320551 2.02388i
\(784\) 3.17953 + 6.23623i 0.113555 + 0.222723i
\(785\) 27.1669 + 42.5943i 0.969630 + 1.52026i
\(786\) −36.8708 + 40.9492i −1.31514 + 1.46061i
\(787\) 5.17140 + 0.271022i 0.184341 + 0.00966088i 0.144283 0.989536i \(-0.453912\pi\)
0.0400577 + 0.999197i \(0.487246\pi\)
\(788\) −17.0143 0.891681i −0.606109 0.0317648i
\(789\) −38.2095 + 42.4360i −1.36030 + 1.51076i
\(790\) 1.87420 30.9084i 0.0666811 1.09967i
\(791\) −0.0226538 + 0.122316i −0.000805475 + 0.00434906i
\(792\) −3.28217 20.7228i −0.116627 0.736353i
\(793\) 31.7077 + 8.49606i 1.12597 + 0.301704i
\(794\) −36.2068 + 16.1203i −1.28493 + 0.572089i
\(795\) −20.6411 + 11.6924i −0.732063 + 0.414687i
\(796\) 4.63029 10.3998i 0.164116 0.368612i
\(797\) −5.37923 + 33.9631i −0.190542 + 1.20304i 0.688122 + 0.725595i \(0.258435\pi\)
−0.878664 + 0.477441i \(0.841565\pi\)
\(798\) 8.14456 + 43.9128i 0.288314 + 1.55450i
\(799\) 26.6192i 0.941719i
\(800\) −3.20993 + 3.83359i −0.113488 + 0.135538i
\(801\) 60.3156 + 34.8232i 2.13115 + 1.23042i
\(802\) 1.11202 + 1.71235i 0.0392666 + 0.0604653i
\(803\) 19.4966 + 50.7904i 0.688021 + 1.79236i
\(804\) 27.5639 20.0263i 0.972104 0.706275i
\(805\) −0.00115314 + 0.00378057i −4.06430e−5 + 0.000133248i
\(806\) 0.303704 + 0.220654i 0.0106975 + 0.00777221i
\(807\) −7.69764 + 28.7280i −0.270970 + 1.01127i
\(808\) −9.98398 3.83249i −0.351235 0.134827i
\(809\) −16.3636 + 14.7339i −0.575314 + 0.518015i −0.904626 0.426206i \(-0.859850\pi\)
0.329312 + 0.944221i \(0.393183\pi\)
\(810\) 19.4822 19.1651i 0.684533 0.673394i
\(811\) −9.79798 + 3.18356i −0.344054 + 0.111790i −0.475947 0.879474i \(-0.657894\pi\)
0.131893 + 0.991264i \(0.457894\pi\)
\(812\) 1.16599 + 14.7911i 0.0409181 + 0.519065i
\(813\) 7.89095 + 15.4869i 0.276748 + 0.543148i
\(814\) −16.4905 14.8481i −0.577992 0.520426i
\(815\) 6.25598 22.6043i 0.219137 0.791794i
\(816\) 5.80758 + 6.44997i 0.203306 + 0.225794i
\(817\) 25.0507 + 30.9351i 0.876414 + 1.08228i
\(818\) −23.8349 23.8349i −0.833366 0.833366i
\(819\) −1.02548 38.9709i −0.0358331 1.36175i
\(820\) 22.6653 2.19439i 0.791505 0.0766315i
\(821\) 1.27985 + 0.569824i 0.0446669 + 0.0198870i 0.428949 0.903329i \(-0.358884\pi\)
−0.384282 + 0.923216i \(0.625551\pi\)
\(822\) −3.30841 2.67910i −0.115394 0.0934442i
\(823\) −30.7248 + 19.9529i −1.07100 + 0.695515i −0.954661 0.297695i \(-0.903782\pi\)
−0.116338 + 0.993210i \(0.537116\pi\)
\(824\) 3.10343 + 5.37531i 0.108113 + 0.187258i
\(825\) 13.8809 48.6003i 0.483270 1.69205i
\(826\) 0.0851479 + 0.646124i 0.00296267 + 0.0224815i
\(827\) −6.78197 + 13.3104i −0.235832 + 0.462847i −0.978344 0.206987i \(-0.933634\pi\)
0.742512 + 0.669833i \(0.233634\pi\)
\(828\) −0.00395738 + 0.00151910i −0.000137528 + 5.27922e-5i
\(829\) 5.22913 + 49.7518i 0.181615 + 1.72795i 0.583371 + 0.812206i \(0.301733\pi\)
−0.401756 + 0.915747i \(0.631600\pi\)
\(830\) 15.2357 + 26.8961i 0.528839 + 0.933579i
\(831\) 5.26345 + 0.553211i 0.182587 + 0.0191907i
\(832\) −1.64214 + 1.64214i −0.0569311 + 0.0569311i
\(833\) 19.7662 + 2.07240i 0.684860 + 0.0718045i
\(834\) 10.7739 + 3.50065i 0.373069 + 0.121218i
\(835\) 43.4477 21.6906i 1.50357 0.750635i
\(836\) −3.79659 + 17.8616i −0.131308 + 0.617755i
\(837\) −0.0865001 + 1.65052i −0.00298988 + 0.0570504i
\(838\) 11.6818 + 7.58625i 0.403541 + 0.262063i
\(839\) 0.290748 + 0.894830i 0.0100377 + 0.0308930i 0.955950 0.293530i \(-0.0948300\pi\)
−0.945912 + 0.324423i \(0.894830\pi\)
\(840\) −13.8463 + 11.6338i −0.477744 + 0.401405i
\(841\) −0.756461 + 2.32815i −0.0260849 + 0.0802810i
\(842\) 1.28085 1.03721i 0.0441410 0.0357447i
\(843\) −33.2918 + 8.92051i −1.14663 + 0.307239i
\(844\) 0.464725 + 1.04379i 0.0159965 + 0.0359287i
\(845\) −5.38864 + 16.1330i −0.185375 + 0.554992i
\(846\) 34.9646 + 48.1247i 1.20211 + 1.65456i
\(847\) 0.0818380 + 0.150681i 0.00281199 + 0.00517746i
\(848\) 3.09226 + 1.57558i 0.106189 + 0.0541058i
\(849\) −69.0344 + 39.8570i −2.36925 + 1.36789i
\(850\) 4.16476 + 13.5715i 0.142850 + 0.465498i
\(851\) −0.00224160 + 0.00388256i −7.68410e−5 + 0.000133093i
\(852\) −0.0592416 1.13040i −0.00202958 0.0387268i
\(853\) 9.21228 + 1.45908i 0.315422 + 0.0499580i 0.312139 0.950037i \(-0.398955\pi\)
0.00328391 + 0.999995i \(0.498955\pi\)
\(854\) −8.73496 36.3632i −0.298904 1.24432i
\(855\) −71.8292 + 31.2770i −2.45651 + 1.06965i
\(856\) 0.0666687 0.634310i 0.00227869 0.0216803i
\(857\) −14.0946 52.6016i −0.481461 1.79684i −0.595493 0.803360i \(-0.703043\pi\)
0.114032 0.993477i \(-0.463623\pi\)
\(858\) 8.41304 21.9167i 0.287216 0.748224i
\(859\) −3.35086 + 0.712247i −0.114330 + 0.0243016i −0.264721 0.964325i \(-0.585280\pi\)
0.150391 + 0.988627i \(0.451947\pi\)
\(860\) −5.89970 + 15.0003i −0.201178 + 0.511505i
\(861\) 82.1104 + 6.45166i 2.79832 + 0.219872i
\(862\) −24.4849 + 12.4757i −0.833959 + 0.424923i
\(863\) −10.2222 + 15.7409i −0.347969 + 0.535826i −0.968712 0.248189i \(-0.920165\pi\)
0.620742 + 0.784015i \(0.286831\pi\)
\(864\) −10.0013 2.12583i −0.340249 0.0723223i
\(865\) 22.4665 8.41327i 0.763882 0.286060i
\(866\) −1.03839 4.88526i −0.0352861 0.166008i
\(867\) −26.9888 + 4.27460i −0.916586 + 0.145173i
\(868\) 0.0557688 0.424025i 0.00189292 0.0143924i
\(869\) 26.9166 37.0476i 0.913084 1.25675i
\(870\) −36.5522 + 11.5459i −1.23923 + 0.391443i
\(871\) 25.7418 2.70558i 0.872229 0.0916749i
\(872\) 2.24700 2.77481i 0.0760929 0.0939669i
\(873\) 40.6835 2.13213i 1.37693 0.0721617i
\(874\) 0.00368928 0.000124792
\(875\) −28.5594 + 7.70449i −0.965485 + 0.260459i
\(876\) 50.2923 1.69922
\(877\) −19.4423 + 1.01893i −0.656520 + 0.0344067i −0.377688 0.925933i \(-0.623281\pi\)
−0.278832 + 0.960340i \(0.589947\pi\)
\(878\) 3.72086 4.59488i 0.125573 0.155070i
\(879\) −59.2720 + 6.22973i −1.99919 + 0.210124i
\(880\) −7.05092 + 2.22721i −0.237687 + 0.0750791i
\(881\) −28.7993 + 39.6388i −0.970273 + 1.33547i −0.0283647 + 0.999598i \(0.509030\pi\)
−0.941909 + 0.335869i \(0.890970\pi\)
\(882\) −38.4574 + 22.2165i −1.29493 + 0.748069i
\(883\) −32.7954 + 5.19429i −1.10365 + 0.174802i −0.681569 0.731754i \(-0.738702\pi\)
−0.422086 + 0.906556i \(0.638702\pi\)
\(884\) 1.37090 + 6.44957i 0.0461083 + 0.216923i
\(885\) −1.57680 + 0.590483i −0.0530036 + 0.0198489i
\(886\) −4.82713 1.02604i −0.162171 0.0344704i
\(887\) 2.72052 4.18923i 0.0913461 0.140661i −0.790043 0.613051i \(-0.789942\pi\)
0.881389 + 0.472390i \(0.156609\pi\)
\(888\) −18.2773 + 9.31276i −0.613347 + 0.312516i
\(889\) −27.8714 + 13.2984i −0.934777 + 0.446012i
\(890\) 8.98392 22.8421i 0.301142 0.765668i
\(891\) 39.5322 8.40283i 1.32438 0.281505i
\(892\) −0.818178 + 2.13143i −0.0273946 + 0.0713654i
\(893\) −13.3996 50.0081i −0.448401 1.67346i
\(894\) −3.15869 + 30.0529i −0.105642 + 1.00512i
\(895\) 39.9303 17.3870i 1.33472 0.581185i
\(896\) 2.53689 + 0.751109i 0.0847517 + 0.0250928i
\(897\) −0.00468458 0.000741965i −0.000156414 2.47735e-5i
\(898\) 1.03373 + 19.7247i 0.0344960 + 0.658223i
\(899\) 0.453245 0.785043i 0.0151166 0.0261827i
\(900\) −25.3558 19.0653i −0.845192 0.635511i
\(901\) 8.53347 4.92680i 0.284291 0.164135i
\(902\) 30.0051 + 15.2884i 0.999062 + 0.509048i
\(903\) −30.4561 + 49.7141i −1.01352 + 1.65438i
\(904\) 0.0276361 + 0.0380378i 0.000919163 + 0.00126512i
\(905\) 6.15449 18.4259i 0.204582 0.612497i
\(906\) −5.15571 11.5799i −0.171287 0.384717i
\(907\) −31.0018 + 8.30692i −1.02940 + 0.275827i −0.733714 0.679459i \(-0.762215\pi\)
−0.295685 + 0.955285i \(0.595548\pi\)
\(908\) 0.642541 0.520319i 0.0213235 0.0172674i
\(909\) 20.9677 64.5318i 0.695453 2.14038i
\(910\) −13.5289 + 2.39459i −0.448478 + 0.0793800i
\(911\) 5.80505 + 17.8661i 0.192330 + 0.591931i 0.999997 + 0.00229239i \(0.000729690\pi\)
−0.807667 + 0.589638i \(0.799270\pi\)
\(912\) 14.1572 + 9.19379i 0.468792 + 0.304437i
\(913\) −2.39249 + 45.6514i −0.0791799 + 1.51084i
\(914\) −5.51062 + 25.9254i −0.182275 + 0.857538i
\(915\) 86.4454 43.1566i 2.85780 1.42671i
\(916\) −7.58950 2.46598i −0.250764 0.0814782i
\(917\) 34.5980 + 32.8239i 1.14253 + 1.08394i
\(918\) −20.5275 + 20.5275i −0.677507 + 0.677507i
\(919\) −25.1772 2.64624i −0.830521 0.0872913i −0.320280 0.947323i \(-0.603777\pi\)
−0.510241 + 0.860032i \(0.670444\pi\)
\(920\) 0.000736319 0.00129985i 2.42757e−5 4.28548e-5i
\(921\) −3.63424 34.5775i −0.119752 1.13937i
\(922\) −25.7005 + 9.86551i −0.846402 + 0.324903i
\(923\) 0.390405 0.766213i 0.0128503 0.0252202i
\(924\) −26.5160 + 3.49435i −0.872312 + 0.114956i
\(925\) −33.5302 + 1.20605i −1.10247 + 0.0396547i
\(926\) 10.0344 + 17.3800i 0.329750 + 0.571143i
\(927\) −33.0278 + 21.4485i −1.08478 + 0.704461i
\(928\) 4.35812 + 3.52913i 0.143062 + 0.115849i
\(929\) −10.8732 4.84108i −0.356740 0.158831i 0.220539 0.975378i \(-0.429219\pi\)
−0.577278 + 0.816548i \(0.695885\pi\)
\(930\) 1.09979 0.106479i 0.0360636 0.00349158i
\(931\) 38.1770 6.05666i 1.25120 0.198499i
\(932\) −15.1188 15.1188i −0.495233 0.495233i
\(933\) 10.9930 + 13.5752i 0.359895 + 0.444433i
\(934\) −3.69293 4.10142i −0.120837 0.134203i
\(935\) −5.59985 + 20.2335i −0.183135 + 0.661707i
\(936\) −10.9500 9.85945i −0.357913 0.322266i
\(937\) −11.8189 23.1960i −0.386108 0.757779i 0.613380 0.789788i \(-0.289810\pi\)
−0.999488 + 0.0320087i \(0.989810\pi\)
\(938\) −16.7054 24.2998i −0.545450 0.793418i
\(939\) −21.0479 + 6.83888i −0.686873 + 0.223178i
\(940\) 14.9451 14.7019i 0.487455 0.479522i
\(941\) 35.8770 32.3038i 1.16956 1.05308i 0.171870 0.985120i \(-0.445019\pi\)
0.997688 0.0679555i \(-0.0216476\pi\)
\(942\) 64.4790 + 24.7512i 2.10084 + 0.806437i
\(943\) 0.00176091 0.00657182i 5.73433e−5 0.000214008i
\(944\) 0.199280 + 0.144785i 0.00648600 + 0.00471236i
\(945\) −41.2829 44.2127i −1.34293 1.43824i
\(946\) −19.2849 + 14.0113i −0.627007 + 0.455547i
\(947\) 2.83721 + 7.39118i 0.0921969 + 0.240181i 0.971923 0.235300i \(-0.0756073\pi\)
−0.879726 + 0.475481i \(0.842274\pi\)
\(948\) −23.0559 35.5030i −0.748820 1.15308i
\(949\) 33.0883 + 19.1035i 1.07409 + 0.620127i
\(950\) 14.6558 + 23.3996i 0.475496 + 0.759182i
\(951\) 69.6970i 2.26008i
\(952\) 5.71146 4.87931i 0.185110 0.158139i
\(953\) 2.70823 17.0991i 0.0877280 0.553893i −0.904202 0.427105i \(-0.859533\pi\)
0.991930 0.126788i \(-0.0404667\pi\)
\(954\) −8.95620 + 20.1159i −0.289968 + 0.651278i
\(955\) 4.47748 2.53633i 0.144888 0.0820738i
\(956\) −5.18992 + 2.31070i −0.167854 + 0.0747335i
\(957\) −54.7567 14.6720i −1.77003 0.474279i
\(958\) 4.34012 + 27.4025i 0.140223 + 0.885334i
\(959\) −2.39255 + 2.80204i −0.0772594 + 0.0904825i
\(960\) −0.413725 + 6.82295i −0.0133529 + 0.220210i
\(961\) 20.7256 23.0181i 0.668567 0.742518i
\(962\) −15.5625 0.815594i −0.501754 0.0262958i
\(963\) 4.04117 + 0.211789i 0.130225 + 0.00682480i
\(964\) 7.93088 8.80814i 0.255437 0.283691i
\(965\) 2.29258 + 3.59448i 0.0738008 + 0.115710i
\(966\) 0.00180437 + 0.00509331i 5.80547e−5 + 0.000163875i
\(967\) −1.25235 7.90705i −0.0402730 0.254274i 0.959335 0.282270i \(-0.0910874\pi\)
−0.999608 + 0.0279962i \(0.991087\pi\)
\(968\) 0.0626015 + 0.0167740i 0.00201209 + 0.000539137i
\(969\) 43.7841 19.4939i 1.40655 0.626235i
\(970\) −2.86982 14.0679i −0.0921444 0.451694i
\(971\) 11.4386 25.6915i 0.367082 0.824479i −0.631704 0.775210i \(-0.717644\pi\)
0.998786 0.0492690i \(-0.0156892\pi\)
\(972\) 1.04606 6.60456i 0.0335524 0.211841i
\(973\) 3.27167 9.24267i 0.104885 0.296306i
\(974\) 11.3297i 0.363028i
\(975\) −13.9036 32.6598i −0.445273 1.04595i
\(976\) −12.2412 7.06749i −0.391833 0.226225i
\(977\) −8.36550 12.8817i −0.267636 0.412123i 0.679144 0.734005i \(-0.262351\pi\)
−0.946780 + 0.321882i \(0.895685\pi\)
\(978\) −11.4907 29.9342i −0.367431 0.957191i
\(979\) 29.3666 21.3361i 0.938561 0.681905i
\(980\) 9.75344 + 12.2422i 0.311562 + 0.391061i
\(981\) 18.3275 + 13.3157i 0.585153 + 0.425139i
\(982\) 2.66063 9.92960i 0.0849041 0.316866i
\(983\) −11.1309 4.27274i −0.355019 0.136279i 0.174321 0.984689i \(-0.444227\pi\)
−0.529340 + 0.848410i \(0.677560\pi\)
\(984\) 23.1345 20.8304i 0.737500 0.664048i
\(985\) −37.6759 + 5.65087i −1.20045 + 0.180052i
\(986\) 15.1427 4.92015i 0.482241 0.156690i
\(987\) 62.4861 42.9573i 1.98895 1.36735i
\(988\) 5.82204 + 11.4264i 0.185224 + 0.363522i
\(989\) 0.00357899 + 0.00322254i 0.000113805 + 0.000102471i
\(990\) −16.4531 43.9356i −0.522913 1.39636i
\(991\) −0.345729 0.383971i −0.0109824 0.0121972i 0.737629 0.675207i \(-0.235946\pi\)
−0.748611 + 0.663009i \(0.769279\pi\)
\(992\) −0.101728 0.125623i −0.00322985 0.00398854i
\(993\) 43.3673 + 43.3673i 1.37622 + 1.37622i
\(994\) −0.979357 + 0.0257707i −0.0310633 + 0.000817398i
\(995\) 5.49655 24.8549i 0.174252 0.787954i
\(996\) 38.6057 + 17.1884i 1.22327 + 0.544634i
\(997\) −22.8738 18.5228i −0.724420 0.586624i 0.194578 0.980887i \(-0.437666\pi\)
−0.918997 + 0.394263i \(0.871000\pi\)
\(998\) 11.3393 7.36385i 0.358940 0.233099i
\(999\) −34.3058 59.4194i −1.08539 1.87995i
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 350.2.x.a.17.1 yes 320
7.5 odd 6 inner 350.2.x.a.117.20 yes 320
25.3 odd 20 inner 350.2.x.a.3.20 320
175.103 even 60 inner 350.2.x.a.103.1 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
350.2.x.a.3.20 320 25.3 odd 20 inner
350.2.x.a.17.1 yes 320 1.1 even 1 trivial
350.2.x.a.103.1 yes 320 175.103 even 60 inner
350.2.x.a.117.20 yes 320 7.5 odd 6 inner