Properties

Label 490.2.w.a.103.6
Level $490$
Weight $2$
Character 490.103
Analytic conductor $3.913$
Analytic rank $0$
Dimension $672$
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] = [490,2,Mod(3,490)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(490, base_ring=CyclotomicField(84))
 
chi = DirichletCharacter(H, H._module([63, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("490.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 490.w (of order \(84\), degree \(24\), 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: \(3.91266969904\)
Analytic rank: \(0\)
Dimension: \(672\)
Relative dimension: \(28\) over \(\Q(\zeta_{84})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label 103.6
Character \(\chi\) \(=\) 490.103
Dual form 490.2.w.a.157.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.593820 + 0.804598i) q^{2} +(-1.03025 + 0.194933i) q^{3} +(-0.294755 - 0.955573i) q^{4} +(0.328515 + 2.21180i) q^{5} +(0.454939 - 0.944690i) q^{6} +(1.16126 + 2.37728i) q^{7} +(0.943883 + 0.330279i) q^{8} +(-1.76921 + 0.694364i) q^{9} +O(q^{10})\) \(q+(-0.593820 + 0.804598i) q^{2} +(-1.03025 + 0.194933i) q^{3} +(-0.294755 - 0.955573i) q^{4} +(0.328515 + 2.21180i) q^{5} +(0.454939 - 0.944690i) q^{6} +(1.16126 + 2.37728i) q^{7} +(0.943883 + 0.330279i) q^{8} +(-1.76921 + 0.694364i) q^{9} +(-1.97469 - 1.04909i) q^{10} +(0.564901 - 1.43934i) q^{11} +(0.489944 + 0.927019i) q^{12} +(2.46802 + 0.278079i) q^{13} +(-2.60234 - 0.477330i) q^{14} +(-0.769606 - 2.21467i) q^{15} +(-0.826239 + 0.563320i) q^{16} +(-0.883827 - 0.0330705i) q^{17} +(0.491909 - 1.83583i) q^{18} +(-1.61635 + 2.79960i) q^{19} +(2.01671 - 0.965861i) q^{20} +(-1.65980 - 2.22282i) q^{21} +(0.822644 + 1.30923i) q^{22} +(0.0273763 + 0.731647i) q^{23} +(-1.03682 - 0.156275i) q^{24} +(-4.78416 + 1.45322i) q^{25} +(-1.68930 + 1.82063i) q^{26} +(4.35081 - 2.73379i) q^{27} +(1.92938 - 1.81039i) q^{28} +(-10.4238 + 2.37916i) q^{29} +(2.23892 + 0.695890i) q^{30} +(-1.07230 + 0.619090i) q^{31} +(0.0373912 - 0.999301i) q^{32} +(-0.301412 + 1.59300i) q^{33} +(0.551443 - 0.691488i) q^{34} +(-4.87659 + 3.34946i) q^{35} +(1.18500 + 1.48594i) q^{36} +(-3.46346 + 1.83049i) q^{37} +(-1.29273 - 2.96297i) q^{38} +(-2.59688 + 0.194609i) q^{39} +(-0.420433 + 2.19619i) q^{40} +(-1.18638 - 2.46355i) q^{41} +(2.77410 - 0.0155139i) q^{42} +(1.69120 + 4.83319i) q^{43} +(-1.54191 - 0.115550i) q^{44} +(-2.11701 - 3.68504i) q^{45} +(-0.604938 - 0.412440i) q^{46} +(-3.68897 - 2.72258i) q^{47} +(0.741420 - 0.741420i) q^{48} +(-4.30294 + 5.52129i) q^{49} +(1.67167 - 4.71227i) q^{50} +(0.917007 - 0.138217i) q^{51} +(-0.461737 - 2.44034i) q^{52} +(-0.847488 - 0.447910i) q^{53} +(-0.383993 + 5.12403i) q^{54} +(3.36913 + 0.776604i) q^{55} +(0.310928 + 2.62742i) q^{56} +(1.11950 - 3.19936i) q^{57} +(4.27558 - 9.79974i) q^{58} +(-0.212941 - 2.84150i) q^{59} +(-1.88943 + 1.38820i) q^{60} +(0.583208 - 1.89071i) q^{61} +(0.138632 - 1.23040i) q^{62} +(-3.70522 - 3.39958i) q^{63} +(0.781831 + 0.623490i) q^{64} +(0.195725 + 5.55013i) q^{65} +(-1.10274 - 1.18847i) q^{66} +(8.81519 + 2.36202i) q^{67} +(0.228911 + 0.854309i) q^{68} +(-0.170827 - 0.748441i) q^{69} +(0.200854 - 5.91267i) q^{70} +(-0.892581 + 3.91065i) q^{71} +(-1.89926 + 0.0710654i) q^{72} +(5.56662 - 4.10835i) q^{73} +(0.583863 - 3.87368i) q^{74} +(4.64558 - 2.42977i) q^{75} +(3.15164 + 0.719342i) q^{76} +(4.07773 - 0.328525i) q^{77} +(1.38550 - 2.20500i) q^{78} +(9.38551 + 5.41873i) q^{79} +(-1.51739 - 1.64242i) q^{80} +(0.230195 - 0.213590i) q^{81} +(2.68666 + 0.508344i) q^{82} +(-0.469446 - 4.16645i) q^{83} +(-1.63483 + 2.24125i) q^{84} +(-0.217205 - 1.96572i) q^{85} +(-4.89304 - 1.50930i) q^{86} +(10.2753 - 4.48306i) q^{87} +(1.00859 - 1.17200i) q^{88} +(0.312991 + 0.797487i) q^{89} +(4.22210 + 0.484909i) q^{90} +(2.20494 + 6.19010i) q^{91} +(0.691072 - 0.241817i) q^{92} +(0.984049 - 0.846843i) q^{93} +(4.38117 - 1.35141i) q^{94} +(-6.72315 - 2.65533i) q^{95} +(0.156275 + 1.03682i) q^{96} +(10.5225 + 10.5225i) q^{97} +(-1.88724 - 6.74079i) q^{98} +2.93875i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 672 q + 12 q^{5} - 28 q^{6} - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 672 q + 12 q^{5} - 28 q^{6} - 8 q^{7} + 12 q^{10} + 4 q^{11} - 44 q^{15} - 56 q^{16} + 8 q^{17} + 28 q^{21} + 20 q^{22} + 4 q^{23} - 4 q^{25} + 16 q^{26} - 4 q^{28} - 12 q^{30} - 24 q^{31} - 48 q^{33} - 8 q^{35} + 92 q^{36} - 12 q^{37} - 24 q^{38} - 112 q^{41} + 76 q^{42} + 24 q^{43} - 100 q^{45} - 160 q^{46} + 72 q^{47} + 32 q^{50} - 208 q^{51} + 160 q^{53} - 84 q^{55} - 52 q^{56} - 92 q^{57} + 128 q^{58} - 212 q^{61} + 36 q^{63} - 16 q^{67} + 36 q^{68} - 16 q^{70} - 16 q^{71} + 12 q^{73} + 132 q^{75} - 16 q^{77} + 80 q^{78} + 12 q^{80} - 36 q^{81} + 48 q^{82} - 308 q^{83} - 40 q^{85} - 4 q^{86} + 52 q^{87} - 4 q^{88} + 84 q^{90} - 124 q^{91} - 8 q^{92} - 536 q^{93} - 28 q^{95} - 12 q^{96} - 40 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(197\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.593820 + 0.804598i −0.419894 + 0.568937i
\(3\) −1.03025 + 0.194933i −0.594814 + 0.112545i −0.474597 0.880203i \(-0.657406\pi\)
−0.120216 + 0.992748i \(0.538359\pi\)
\(4\) −0.294755 0.955573i −0.147378 0.477786i
\(5\) 0.328515 + 2.21180i 0.146916 + 0.989149i
\(6\) 0.454939 0.944690i 0.185728 0.385668i
\(7\) 1.16126 + 2.37728i 0.438915 + 0.898528i
\(8\) 0.943883 + 0.330279i 0.333713 + 0.116771i
\(9\) −1.76921 + 0.694364i −0.589737 + 0.231455i
\(10\) −1.97469 1.04909i −0.624452 0.331752i
\(11\) 0.564901 1.43934i 0.170324 0.433979i −0.820068 0.572266i \(-0.806064\pi\)
0.990392 + 0.138287i \(0.0441597\pi\)
\(12\) 0.489944 + 0.927019i 0.141435 + 0.267607i
\(13\) 2.46802 + 0.278079i 0.684505 + 0.0771252i 0.447367 0.894351i \(-0.352362\pi\)
0.237138 + 0.971476i \(0.423790\pi\)
\(14\) −2.60234 0.477330i −0.695504 0.127572i
\(15\) −0.769606 2.21467i −0.198711 0.571824i
\(16\) −0.826239 + 0.563320i −0.206560 + 0.140830i
\(17\) −0.883827 0.0330705i −0.214360 0.00802077i −0.0700043 0.997547i \(-0.522301\pi\)
−0.144355 + 0.989526i \(0.546111\pi\)
\(18\) 0.491909 1.83583i 0.115944 0.432709i
\(19\) −1.61635 + 2.79960i −0.370816 + 0.642271i −0.989691 0.143218i \(-0.954255\pi\)
0.618876 + 0.785489i \(0.287588\pi\)
\(20\) 2.01671 0.965861i 0.450950 0.215973i
\(21\) −1.65980 2.22282i −0.362198 0.485059i
\(22\) 0.822644 + 1.30923i 0.175388 + 0.279129i
\(23\) 0.0273763 + 0.731647i 0.00570835 + 0.152559i 0.999239 + 0.0389973i \(0.0124164\pi\)
−0.993531 + 0.113562i \(0.963774\pi\)
\(24\) −1.03682 0.156275i −0.211639 0.0318995i
\(25\) −4.78416 + 1.45322i −0.956831 + 0.290644i
\(26\) −1.68930 + 1.82063i −0.331299 + 0.357056i
\(27\) 4.35081 2.73379i 0.837314 0.526119i
\(28\) 1.92938 1.81039i 0.364618 0.342131i
\(29\) −10.4238 + 2.37916i −1.93565 + 0.441799i −0.941007 + 0.338386i \(0.890119\pi\)
−0.994639 + 0.103413i \(0.967024\pi\)
\(30\) 2.23892 + 0.695890i 0.408770 + 0.127052i
\(31\) −1.07230 + 0.619090i −0.192590 + 0.111192i −0.593195 0.805059i \(-0.702133\pi\)
0.400604 + 0.916251i \(0.368800\pi\)
\(32\) 0.0373912 0.999301i 0.00660989 0.176653i
\(33\) −0.301412 + 1.59300i −0.0524690 + 0.277306i
\(34\) 0.551443 0.691488i 0.0945717 0.118589i
\(35\) −4.87659 + 3.34946i −0.824294 + 0.566161i
\(36\) 1.18500 + 1.48594i 0.197500 + 0.247657i
\(37\) −3.46346 + 1.83049i −0.569390 + 0.300931i −0.727075 0.686558i \(-0.759121\pi\)
0.157685 + 0.987489i \(0.449597\pi\)
\(38\) −1.29273 2.96297i −0.209708 0.480657i
\(39\) −2.59688 + 0.194609i −0.415833 + 0.0311624i
\(40\) −0.420433 + 2.19619i −0.0664762 + 0.347248i
\(41\) −1.18638 2.46355i −0.185282 0.384741i 0.787551 0.616249i \(-0.211349\pi\)
−0.972833 + 0.231507i \(0.925634\pi\)
\(42\) 2.77410 0.0155139i 0.428053 0.00239385i
\(43\) 1.69120 + 4.83319i 0.257906 + 0.737054i 0.997920 + 0.0644622i \(0.0205332\pi\)
−0.740014 + 0.672592i \(0.765181\pi\)
\(44\) −1.54191 0.115550i −0.232451 0.0174198i
\(45\) −2.11701 3.68504i −0.315585 0.549333i
\(46\) −0.604938 0.412440i −0.0891932 0.0608109i
\(47\) −3.68897 2.72258i −0.538092 0.397130i 0.290592 0.956847i \(-0.406148\pi\)
−0.828684 + 0.559717i \(0.810910\pi\)
\(48\) 0.741420 0.741420i 0.107015 0.107015i
\(49\) −4.30294 + 5.52129i −0.614706 + 0.788756i
\(50\) 1.67167 4.71227i 0.236410 0.666416i
\(51\) 0.917007 0.138217i 0.128407 0.0193542i
\(52\) −0.461737 2.44034i −0.0640313 0.338414i
\(53\) −0.847488 0.447910i −0.116411 0.0615252i 0.408049 0.912960i \(-0.366209\pi\)
−0.524461 + 0.851435i \(0.675733\pi\)
\(54\) −0.383993 + 5.12403i −0.0522549 + 0.697293i
\(55\) 3.36913 + 0.776604i 0.454293 + 0.104717i
\(56\) 0.310928 + 2.62742i 0.0415496 + 0.351103i
\(57\) 1.11950 3.19936i 0.148282 0.423765i
\(58\) 4.27558 9.79974i 0.561411 1.28677i
\(59\) −0.212941 2.84150i −0.0277226 0.369932i −0.993761 0.111533i \(-0.964424\pi\)
0.966038 0.258399i \(-0.0831951\pi\)
\(60\) −1.88943 + 1.38820i −0.243924 + 0.179216i
\(61\) 0.583208 1.89071i 0.0746721 0.242081i −0.910540 0.413421i \(-0.864334\pi\)
0.985212 + 0.171341i \(0.0548098\pi\)
\(62\) 0.138632 1.23040i 0.0176063 0.156260i
\(63\) −3.70522 3.39958i −0.466813 0.428306i
\(64\) 0.781831 + 0.623490i 0.0977289 + 0.0779362i
\(65\) 0.195725 + 5.55013i 0.0242767 + 0.688408i
\(66\) −1.10274 1.18847i −0.135738 0.146291i
\(67\) 8.81519 + 2.36202i 1.07695 + 0.288567i 0.753344 0.657626i \(-0.228439\pi\)
0.323602 + 0.946193i \(0.395106\pi\)
\(68\) 0.228911 + 0.854309i 0.0277596 + 0.103600i
\(69\) −0.170827 0.748441i −0.0205651 0.0901017i
\(70\) 0.200854 5.91267i 0.0240067 0.706699i
\(71\) −0.892581 + 3.91065i −0.105930 + 0.464109i 0.893943 + 0.448180i \(0.147928\pi\)
−0.999873 + 0.0159289i \(0.994929\pi\)
\(72\) −1.89926 + 0.0710654i −0.223830 + 0.00837514i
\(73\) 5.56662 4.10835i 0.651523 0.480846i −0.217211 0.976125i \(-0.569696\pi\)
0.868734 + 0.495279i \(0.164934\pi\)
\(74\) 0.583863 3.87368i 0.0678727 0.450306i
\(75\) 4.64558 2.42977i 0.536426 0.280566i
\(76\) 3.15164 + 0.719342i 0.361518 + 0.0825142i
\(77\) 4.07773 0.328525i 0.464700 0.0374390i
\(78\) 1.38550 2.20500i 0.156876 0.249667i
\(79\) 9.38551 + 5.41873i 1.05595 + 0.609654i 0.924310 0.381643i \(-0.124642\pi\)
0.131642 + 0.991297i \(0.457975\pi\)
\(80\) −1.51739 1.64242i −0.169649 0.183628i
\(81\) 0.230195 0.213590i 0.0255772 0.0237322i
\(82\) 2.68666 + 0.508344i 0.296692 + 0.0561372i
\(83\) −0.469446 4.16645i −0.0515284 0.457327i −0.992810 0.119704i \(-0.961806\pi\)
0.941281 0.337624i \(-0.109623\pi\)
\(84\) −1.63483 + 2.24125i −0.178375 + 0.244540i
\(85\) −0.217205 1.96572i −0.0235592 0.213212i
\(86\) −4.89304 1.50930i −0.527630 0.162752i
\(87\) 10.2753 4.48306i 1.10163 0.480635i
\(88\) 1.00859 1.17200i 0.107516 0.124935i
\(89\) 0.312991 + 0.797487i 0.0331769 + 0.0845335i 0.946502 0.322697i \(-0.104590\pi\)
−0.913325 + 0.407231i \(0.866494\pi\)
\(90\) 4.22210 + 0.484909i 0.445048 + 0.0511139i
\(91\) 2.20494 + 6.19010i 0.231141 + 0.648899i
\(92\) 0.691072 0.241817i 0.0720493 0.0252111i
\(93\) 0.984049 0.846843i 0.102041 0.0878135i
\(94\) 4.38117 1.35141i 0.451883 0.139387i
\(95\) −6.72315 2.65533i −0.689781 0.272432i
\(96\) 0.156275 + 1.03682i 0.0159497 + 0.105820i
\(97\) 10.5225 + 10.5225i 1.06840 + 1.06840i 0.997482 + 0.0709156i \(0.0225921\pi\)
0.0709156 + 0.997482i \(0.477408\pi\)
\(98\) −1.88724 6.74079i −0.190640 0.680923i
\(99\) 2.93875i 0.295356i
\(100\) 2.79881 + 4.14326i 0.279881 + 0.414326i
\(101\) −1.43242 + 2.10098i −0.142532 + 0.209055i −0.890866 0.454266i \(-0.849901\pi\)
0.748334 + 0.663322i \(0.230854\pi\)
\(102\) −0.433329 + 0.819898i −0.0429059 + 0.0811820i
\(103\) 5.65076 + 6.56630i 0.556786 + 0.646997i 0.963863 0.266397i \(-0.0858331\pi\)
−0.407078 + 0.913394i \(0.633452\pi\)
\(104\) 2.23768 + 1.07761i 0.219422 + 0.105668i
\(105\) 4.37117 4.40138i 0.426583 0.429530i
\(106\) 0.863643 0.415909i 0.0838844 0.0403966i
\(107\) 15.9096 + 6.94129i 1.53804 + 0.671040i 0.986597 0.163173i \(-0.0521728\pi\)
0.551443 + 0.834213i \(0.314078\pi\)
\(108\) −3.89476 3.35171i −0.374774 0.322519i
\(109\) −11.5520 4.53382i −1.10648 0.434261i −0.259422 0.965764i \(-0.583532\pi\)
−0.847056 + 0.531503i \(0.821627\pi\)
\(110\) −2.62551 + 2.24963i −0.250333 + 0.214494i
\(111\) 3.21140 2.56100i 0.304812 0.243080i
\(112\) −2.29865 1.31004i −0.217202 0.123787i
\(113\) −17.7757 + 2.00284i −1.67220 + 0.188412i −0.896609 0.442823i \(-0.853977\pi\)
−0.775592 + 0.631235i \(0.782548\pi\)
\(114\) 1.90941 + 2.80059i 0.178833 + 0.262299i
\(115\) −1.60927 + 0.300908i −0.150065 + 0.0280598i
\(116\) 5.34592 + 9.25940i 0.496356 + 0.859714i
\(117\) −4.55953 + 1.22172i −0.421529 + 0.112948i
\(118\) 2.41272 + 1.51601i 0.222109 + 0.139560i
\(119\) −0.947737 2.13951i −0.0868789 0.196129i
\(120\) 0.00503970 2.34457i 0.000460060 0.214029i
\(121\) 6.31097 + 5.85572i 0.573725 + 0.532339i
\(122\) 1.17494 + 1.59199i 0.106374 + 0.144132i
\(123\) 1.70249 + 2.30680i 0.153509 + 0.207997i
\(124\) 0.907651 + 0.842177i 0.0815095 + 0.0756297i
\(125\) −4.78591 10.1042i −0.428065 0.903748i
\(126\) 4.93552 0.962471i 0.439691 0.0857438i
\(127\) −2.88551 1.81309i −0.256048 0.160885i 0.397892 0.917432i \(-0.369742\pi\)
−0.653939 + 0.756547i \(0.726885\pi\)
\(128\) −0.965926 + 0.258819i −0.0853766 + 0.0228766i
\(129\) −2.68451 4.64970i −0.236358 0.409384i
\(130\) −4.58184 3.13830i −0.401854 0.275247i
\(131\) 6.22744 + 9.13397i 0.544094 + 0.798039i 0.995548 0.0942552i \(-0.0300470\pi\)
−0.451454 + 0.892294i \(0.649095\pi\)
\(132\) 1.61107 0.181524i 0.140226 0.0157996i
\(133\) −8.53243 0.591453i −0.739856 0.0512854i
\(134\) −7.13511 + 5.69006i −0.616380 + 0.491547i
\(135\) 7.47592 + 8.72504i 0.643425 + 0.750932i
\(136\) −0.823307 0.323124i −0.0705980 0.0277077i
\(137\) 12.7793 + 10.9975i 1.09181 + 0.939581i 0.998428 0.0560490i \(-0.0178503\pi\)
0.0933850 + 0.995630i \(0.470231\pi\)
\(138\) 0.703634 + 0.306992i 0.0598973 + 0.0261329i
\(139\) 17.3609 8.36059i 1.47254 0.709136i 0.486195 0.873850i \(-0.338385\pi\)
0.986341 + 0.164714i \(0.0526702\pi\)
\(140\) 4.63805 + 3.67267i 0.391987 + 0.310397i
\(141\) 4.33127 + 2.08583i 0.364759 + 0.175659i
\(142\) −2.61647 3.04039i −0.219569 0.255144i
\(143\) 1.79444 3.39524i 0.150058 0.283924i
\(144\) 1.07064 1.57034i 0.0892201 0.130862i
\(145\) −8.68660 22.2738i −0.721383 1.84973i
\(146\) 6.91851i 0.572580i
\(147\) 3.35681 6.52708i 0.276865 0.538345i
\(148\) 2.77004 + 2.77004i 0.227696 + 0.227696i
\(149\) −0.853702 5.66395i −0.0699380 0.464009i −0.996198 0.0871224i \(-0.972233\pi\)
0.926260 0.376886i \(-0.123005\pi\)
\(150\) −0.803653 + 5.18067i −0.0656180 + 0.423000i
\(151\) 8.20564 2.53110i 0.667765 0.205978i 0.0577054 0.998334i \(-0.481622\pi\)
0.610060 + 0.792355i \(0.291145\pi\)
\(152\) −2.45029 + 2.10865i −0.198745 + 0.171034i
\(153\) 1.58664 0.555189i 0.128272 0.0448844i
\(154\) −2.15711 + 3.47602i −0.173825 + 0.280105i
\(155\) −1.72157 2.16833i −0.138280 0.174164i
\(156\) 0.951406 + 2.42414i 0.0761734 + 0.194087i
\(157\) 0.426245 0.495306i 0.0340181 0.0395297i −0.740705 0.671830i \(-0.765508\pi\)
0.774723 + 0.632301i \(0.217889\pi\)
\(158\) −9.93320 + 4.33381i −0.790243 + 0.344779i
\(159\) 0.960435 + 0.296255i 0.0761674 + 0.0234945i
\(160\) 2.22254 0.245583i 0.175707 0.0194151i
\(161\) −1.70754 + 0.914714i −0.134573 + 0.0720896i
\(162\) 0.0351594 + 0.312048i 0.00276238 + 0.0245168i
\(163\) 13.6998 + 2.59215i 1.07305 + 0.203033i 0.692276 0.721633i \(-0.256608\pi\)
0.380779 + 0.924666i \(0.375656\pi\)
\(164\) −2.00441 + 1.85982i −0.156518 + 0.145227i
\(165\) −3.62242 0.143339i −0.282005 0.0111590i
\(166\) 3.63108 + 2.09641i 0.281827 + 0.162713i
\(167\) −4.93770 + 7.85830i −0.382090 + 0.608094i −0.981297 0.192501i \(-0.938340\pi\)
0.599206 + 0.800595i \(0.295483\pi\)
\(168\) −0.832504 2.64628i −0.0642291 0.204165i
\(169\) −6.66028 1.52016i −0.512329 0.116936i
\(170\) 1.71059 + 0.992520i 0.131196 + 0.0761228i
\(171\) 0.915720 6.07541i 0.0700269 0.464598i
\(172\) 4.11997 3.04068i 0.314145 0.231849i
\(173\) 18.4937 0.691985i 1.40605 0.0526106i 0.676451 0.736487i \(-0.263517\pi\)
0.729598 + 0.683877i \(0.239707\pi\)
\(174\) −2.49461 + 10.9296i −0.189116 + 0.828571i
\(175\) −9.01037 9.68572i −0.681120 0.732172i
\(176\) 0.344069 + 1.50746i 0.0259351 + 0.113629i
\(177\) 0.773286 + 2.88594i 0.0581237 + 0.216921i
\(178\) −0.827517 0.221732i −0.0620250 0.0166195i
\(179\) −11.7315 12.6436i −0.876856 0.945027i 0.122015 0.992528i \(-0.461065\pi\)
−0.998871 + 0.0475018i \(0.984874\pi\)
\(180\) −2.89732 + 3.10914i −0.215954 + 0.231742i
\(181\) −17.7756 14.1755i −1.32125 1.05366i −0.994075 0.108694i \(-0.965333\pi\)
−0.327172 0.944965i \(-0.606096\pi\)
\(182\) −6.28988 1.90171i −0.466237 0.140964i
\(183\) −0.232285 + 2.06159i −0.0171710 + 0.152397i
\(184\) −0.215808 + 0.699631i −0.0159095 + 0.0515775i
\(185\) −5.18649 7.05916i −0.381318 0.518999i
\(186\) 0.0970195 + 1.29464i 0.00711382 + 0.0949273i
\(187\) −0.546875 + 1.25345i −0.0399915 + 0.0916614i
\(188\) −1.51428 + 4.32757i −0.110441 + 0.315621i
\(189\) 11.5514 + 7.16845i 0.840243 + 0.521428i
\(190\) 6.12882 3.83264i 0.444631 0.278049i
\(191\) −0.370171 + 4.93959i −0.0267846 + 0.357416i 0.967668 + 0.252228i \(0.0811634\pi\)
−0.994452 + 0.105188i \(0.966456\pi\)
\(192\) −0.927019 0.489944i −0.0669018 0.0353586i
\(193\) 1.44208 + 7.62160i 0.103804 + 0.548615i 0.995402 + 0.0957876i \(0.0305370\pi\)
−0.891598 + 0.452827i \(0.850415\pi\)
\(194\) −14.7149 + 2.21791i −1.05646 + 0.159236i
\(195\) −1.28355 5.67985i −0.0919169 0.406742i
\(196\) 6.54431 + 2.48435i 0.467451 + 0.177453i
\(197\) −15.8735 + 15.8735i −1.13094 + 1.13094i −0.140922 + 0.990021i \(0.545007\pi\)
−0.990021 + 0.140922i \(0.954993\pi\)
\(198\) −2.36451 1.74509i −0.168039 0.124018i
\(199\) 9.65038 + 6.57952i 0.684098 + 0.466410i 0.854830 0.518908i \(-0.173661\pi\)
−0.170733 + 0.985317i \(0.554613\pi\)
\(200\) −4.99565 0.208434i −0.353246 0.0147385i
\(201\) −9.54226 0.715094i −0.673059 0.0504388i
\(202\) −0.839842 2.40013i −0.0590911 0.168873i
\(203\) −17.7607 22.0174i −1.24655 1.54532i
\(204\) −0.402369 0.835527i −0.0281714 0.0584986i
\(205\) 5.05914 3.43336i 0.353346 0.239796i
\(206\) −8.63877 + 0.647386i −0.601891 + 0.0451055i
\(207\) −0.556464 1.27543i −0.0386769 0.0886484i
\(208\) −2.19582 + 1.16052i −0.152253 + 0.0804679i
\(209\) 3.11651 + 3.90798i 0.215573 + 0.270320i
\(210\) 0.945647 + 6.13066i 0.0652558 + 0.423056i
\(211\) −6.29371 + 7.89206i −0.433277 + 0.543312i −0.949757 0.312987i \(-0.898670\pi\)
0.516481 + 0.856299i \(0.327242\pi\)
\(212\) −0.178210 + 0.941860i −0.0122395 + 0.0646872i
\(213\) 0.157263 4.20293i 0.0107755 0.287980i
\(214\) −15.0324 + 8.67896i −1.02759 + 0.593281i
\(215\) −10.1345 + 5.32839i −0.691165 + 0.363393i
\(216\) 5.00957 1.14340i 0.340858 0.0777986i
\(217\) −2.71697 1.83023i −0.184440 0.124244i
\(218\) 10.5077 6.60242i 0.711671 0.447173i
\(219\) −4.93414 + 5.31774i −0.333418 + 0.359339i
\(220\) −0.250966 3.44836i −0.0169201 0.232488i
\(221\) −2.17211 0.327392i −0.146112 0.0220228i
\(222\) 0.153586 + 4.10466i 0.0103080 + 0.275487i
\(223\) −7.23039 11.5071i −0.484182 0.770572i 0.511896 0.859047i \(-0.328943\pi\)
−0.996078 + 0.0884756i \(0.971800\pi\)
\(224\) 2.41904 1.07156i 0.161629 0.0715966i
\(225\) 7.45511 5.89300i 0.497008 0.392867i
\(226\) 8.94411 15.4916i 0.594953 1.03049i
\(227\) 6.66894 24.8888i 0.442633 1.65193i −0.279477 0.960152i \(-0.590161\pi\)
0.722111 0.691778i \(-0.243172\pi\)
\(228\) −3.38720 0.126740i −0.224323 0.00839356i
\(229\) 22.1799 15.1220i 1.46569 0.999289i 0.472681 0.881233i \(-0.343286\pi\)
0.993007 0.118056i \(-0.0376663\pi\)
\(230\) 0.713505 1.47350i 0.0470471 0.0971595i
\(231\) −4.13703 + 1.13335i −0.272196 + 0.0745688i
\(232\) −10.6246 1.19711i −0.697540 0.0785939i
\(233\) 5.79273 + 10.9604i 0.379495 + 0.718039i 0.997686 0.0679886i \(-0.0216582\pi\)
−0.618191 + 0.786028i \(0.712134\pi\)
\(234\) 1.72455 4.39407i 0.112737 0.287250i
\(235\) 4.80994 9.05369i 0.313766 0.590598i
\(236\) −2.65250 + 1.04103i −0.172663 + 0.0677652i
\(237\) −10.7257 3.75308i −0.696708 0.243789i
\(238\) 2.28423 + 0.507938i 0.148065 + 0.0329247i
\(239\) −9.05230 + 18.7973i −0.585544 + 1.21590i 0.372167 + 0.928166i \(0.378615\pi\)
−0.957712 + 0.287730i \(0.907100\pi\)
\(240\) 1.88344 + 1.39631i 0.121576 + 0.0901314i
\(241\) −0.0435302 0.141121i −0.00280403 0.00909043i 0.954160 0.299297i \(-0.0967522\pi\)
−0.956964 + 0.290207i \(0.906276\pi\)
\(242\) −8.45908 + 1.60055i −0.543771 + 0.102887i
\(243\) −9.34938 + 12.6680i −0.599763 + 0.812650i
\(244\) −1.97862 −0.126668
\(245\) −13.6256 7.70344i −0.870508 0.492155i
\(246\) −2.86702 −0.182795
\(247\) −4.76768 + 6.45998i −0.303360 + 0.411039i
\(248\) −1.21660 + 0.230192i −0.0772539 + 0.0146172i
\(249\) 1.29583 + 4.20096i 0.0821196 + 0.266225i
\(250\) 10.9718 + 2.14935i 0.693917 + 0.135937i
\(251\) 11.4116 23.6963i 0.720291 1.49570i −0.142314 0.989822i \(-0.545454\pi\)
0.862605 0.505878i \(-0.168831\pi\)
\(252\) −2.15641 + 4.54265i −0.135841 + 0.286160i
\(253\) 1.06856 + 0.373904i 0.0671796 + 0.0235072i
\(254\) 3.17228 1.24503i 0.199046 0.0781200i
\(255\) 0.606959 + 1.98283i 0.0380092 + 0.124170i
\(256\) 0.365341 0.930874i 0.0228338 0.0581796i
\(257\) 0.0671292 + 0.127015i 0.00418741 + 0.00792296i 0.886200 0.463302i \(-0.153336\pi\)
−0.882013 + 0.471225i \(0.843812\pi\)
\(258\) 5.33526 + 0.601139i 0.332159 + 0.0374253i
\(259\) −8.37358 6.10795i −0.520309 0.379529i
\(260\) 5.24586 1.82296i 0.325334 0.113055i
\(261\) 16.7898 11.4471i 1.03927 0.708559i
\(262\) −11.0472 0.413355i −0.682495 0.0255372i
\(263\) −5.98381 + 22.3319i −0.368977 + 1.37704i 0.492971 + 0.870046i \(0.335911\pi\)
−0.861948 + 0.506996i \(0.830756\pi\)
\(264\) −0.810632 + 1.40406i −0.0498909 + 0.0864136i
\(265\) 0.712277 2.02162i 0.0437549 0.124187i
\(266\) 5.54261 6.51396i 0.339839 0.399396i
\(267\) −0.477915 0.760597i −0.0292479 0.0465478i
\(268\) −0.341238 9.11977i −0.0208444 0.557079i
\(269\) 9.94988 + 1.49970i 0.606655 + 0.0914385i 0.445184 0.895439i \(-0.353138\pi\)
0.161471 + 0.986878i \(0.448376\pi\)
\(270\) −11.4595 + 0.834005i −0.697403 + 0.0507559i
\(271\) −13.5192 + 14.5702i −0.821231 + 0.885077i −0.995017 0.0997065i \(-0.968210\pi\)
0.173785 + 0.984784i \(0.444400\pi\)
\(272\) 0.748882 0.470554i 0.0454076 0.0285315i
\(273\) −3.47829 5.94752i −0.210516 0.359960i
\(274\) −16.4372 + 3.75169i −0.993008 + 0.226648i
\(275\) −0.610888 + 7.70698i −0.0368379 + 0.464748i
\(276\) −0.664837 + 0.383844i −0.0400185 + 0.0231047i
\(277\) 0.666499 17.8126i 0.0400461 1.07025i −0.823921 0.566705i \(-0.808218\pi\)
0.863967 0.503549i \(-0.167972\pi\)
\(278\) −3.58237 + 18.9333i −0.214856 + 1.13554i
\(279\) 1.46724 1.83987i 0.0878416 0.110150i
\(280\) −5.70919 + 1.55086i −0.341189 + 0.0926816i
\(281\) 8.65897 + 10.8580i 0.516551 + 0.647735i 0.969873 0.243613i \(-0.0783325\pi\)
−0.453322 + 0.891347i \(0.649761\pi\)
\(282\) −4.25025 + 2.24632i −0.253099 + 0.133767i
\(283\) 11.1975 + 25.6650i 0.665624 + 1.52563i 0.840948 + 0.541117i \(0.181998\pi\)
−0.175323 + 0.984511i \(0.556097\pi\)
\(284\) 4.00001 0.299759i 0.237357 0.0177874i
\(285\) 7.44412 + 1.42508i 0.440952 + 0.0844147i
\(286\) 1.66623 + 3.45996i 0.0985263 + 0.204592i
\(287\) 4.47885 5.68119i 0.264378 0.335350i
\(288\) 0.627726 + 1.79394i 0.0369891 + 0.105709i
\(289\) −16.1724 1.21195i −0.951318 0.0712914i
\(290\) 23.0797 + 6.23739i 1.35529 + 0.366272i
\(291\) −12.8920 8.78959i −0.755740 0.515255i
\(292\) −5.56662 4.10835i −0.325762 0.240423i
\(293\) −17.6422 + 17.6422i −1.03067 + 1.03067i −0.0311513 + 0.999515i \(0.509917\pi\)
−0.999515 + 0.0311513i \(0.990083\pi\)
\(294\) 3.25833 + 6.57680i 0.190030 + 0.383567i
\(295\) 6.21490 1.40446i 0.361845 0.0817709i
\(296\) −3.87368 + 0.583863i −0.225153 + 0.0339363i
\(297\) −1.47710 7.80664i −0.0857098 0.452987i
\(298\) 5.06414 + 2.67648i 0.293358 + 0.155044i
\(299\) −0.135890 + 1.81333i −0.00785874 + 0.104868i
\(300\) −3.69113 3.72300i −0.213108 0.214948i
\(301\) −9.52592 + 9.63306i −0.549065 + 0.555240i
\(302\) −2.83615 + 8.10526i −0.163202 + 0.466405i
\(303\) 1.06620 2.44376i 0.0612516 0.140390i
\(304\) −0.241580 3.22366i −0.0138555 0.184889i
\(305\) 4.37348 + 0.668813i 0.250425 + 0.0382961i
\(306\) −0.495475 + 1.60629i −0.0283244 + 0.0918255i
\(307\) −1.67911 + 14.9025i −0.0958317 + 0.850530i 0.850201 + 0.526458i \(0.176480\pi\)
−0.946033 + 0.324071i \(0.894948\pi\)
\(308\) −1.51586 3.79973i −0.0863742 0.216510i
\(309\) −7.10167 5.66339i −0.404000 0.322179i
\(310\) 2.76694 0.0975760i 0.157151 0.00554195i
\(311\) 14.1539 + 15.2542i 0.802592 + 0.864989i 0.993169 0.116683i \(-0.0372263\pi\)
−0.190577 + 0.981672i \(0.561036\pi\)
\(312\) −2.51542 0.674006i −0.142408 0.0381581i
\(313\) 0.495995 + 1.85108i 0.0280353 + 0.104629i 0.978526 0.206125i \(-0.0660852\pi\)
−0.950490 + 0.310754i \(0.899419\pi\)
\(314\) 0.145409 + 0.637078i 0.00820590 + 0.0359524i
\(315\) 6.30198 9.31202i 0.355076 0.524673i
\(316\) 2.41156 10.5657i 0.135661 0.594369i
\(317\) −28.2350 + 1.05648i −1.58584 + 0.0593379i −0.815676 0.578510i \(-0.803635\pi\)
−0.770163 + 0.637847i \(0.779825\pi\)
\(318\) −0.808691 + 0.596841i −0.0453492 + 0.0334692i
\(319\) −2.46397 + 16.3474i −0.137956 + 0.915278i
\(320\) −1.12219 + 1.93408i −0.0627325 + 0.108119i
\(321\) −17.7439 4.04993i −0.990369 0.226045i
\(322\) 0.277995 1.91706i 0.0154920 0.106834i
\(323\) 1.52116 2.42091i 0.0846394 0.134703i
\(324\) −0.271952 0.157011i −0.0151084 0.00872286i
\(325\) −12.2115 + 2.25621i −0.677372 + 0.125152i
\(326\) −10.2209 + 9.48359i −0.566082 + 0.525248i
\(327\) 12.7852 + 2.41909i 0.707022 + 0.133776i
\(328\) −0.306148 2.71714i −0.0169042 0.150029i
\(329\) 2.18849 11.9314i 0.120656 0.657797i
\(330\) 2.26640 2.82947i 0.124761 0.155757i
\(331\) −17.8245 5.49812i −0.979721 0.302204i −0.236782 0.971563i \(-0.576093\pi\)
−0.742939 + 0.669359i \(0.766569\pi\)
\(332\) −3.84297 + 1.67667i −0.210911 + 0.0920194i
\(333\) 4.85657 5.64343i 0.266138 0.309258i
\(334\) −3.39067 8.63928i −0.185529 0.472720i
\(335\) −2.32841 + 20.2734i −0.127215 + 1.10766i
\(336\) 2.62355 + 0.901583i 0.143126 + 0.0491854i
\(337\) 10.1571 3.55411i 0.553291 0.193605i −0.0391290 0.999234i \(-0.512458\pi\)
0.592420 + 0.805629i \(0.298173\pi\)
\(338\) 5.17813 4.45614i 0.281653 0.242382i
\(339\) 17.9230 5.52851i 0.973443 0.300267i
\(340\) −1.81436 + 0.786961i −0.0983977 + 0.0426789i
\(341\) 0.285343 + 1.89313i 0.0154522 + 0.102519i
\(342\) 4.34449 + 4.34449i 0.234923 + 0.234923i
\(343\) −18.1225 3.81765i −0.978524 0.206134i
\(344\) 5.12053i 0.276081i
\(345\) 1.59928 0.623709i 0.0861026 0.0335794i
\(346\) −10.4252 + 15.2909i −0.560460 + 0.822044i
\(347\) 15.4953 29.3186i 0.831833 1.57390i 0.0129694 0.999916i \(-0.495872\pi\)
0.818863 0.573988i \(-0.194605\pi\)
\(348\) −7.31259 8.49738i −0.391996 0.455507i
\(349\) 19.1892 + 9.24103i 1.02717 + 0.494661i 0.870074 0.492921i \(-0.164071\pi\)
0.157101 + 0.987583i \(0.449785\pi\)
\(350\) 13.1437 1.49815i 0.702558 0.0800795i
\(351\) 11.4981 5.53719i 0.613722 0.295553i
\(352\) −1.41722 0.618325i −0.0755379 0.0329568i
\(353\) 10.6352 + 9.15237i 0.566057 + 0.487131i 0.888136 0.459582i \(-0.152001\pi\)
−0.322079 + 0.946713i \(0.604382\pi\)
\(354\) −2.78122 1.09155i −0.147820 0.0580151i
\(355\) −8.94282 0.689506i −0.474636 0.0365952i
\(356\) 0.669802 0.534149i 0.0354994 0.0283098i
\(357\) 1.39346 + 2.01948i 0.0737500 + 0.106882i
\(358\) 17.1394 1.93115i 0.905847 0.102064i
\(359\) −7.10951 10.4277i −0.375225 0.550354i 0.591456 0.806337i \(-0.298553\pi\)
−0.966681 + 0.255983i \(0.917601\pi\)
\(360\) −0.781119 4.17745i −0.0411686 0.220171i
\(361\) 4.27484 + 7.40425i 0.224992 + 0.389697i
\(362\) 21.9611 5.88446i 1.15425 0.309280i
\(363\) −7.64334 4.80263i −0.401171 0.252072i
\(364\) 5.26517 3.93155i 0.275970 0.206069i
\(365\) 10.9156 + 10.9626i 0.571348 + 0.573809i
\(366\) −1.52081 1.41111i −0.0794942 0.0737598i
\(367\) 0.478037 + 0.647717i 0.0249533 + 0.0338105i 0.816897 0.576784i \(-0.195693\pi\)
−0.791944 + 0.610594i \(0.790931\pi\)
\(368\) −0.434771 0.589093i −0.0226640 0.0307086i
\(369\) 3.80956 + 3.53475i 0.198318 + 0.184012i
\(370\) 8.75962 + 0.0188290i 0.455391 + 0.000978872i
\(371\) 0.0806548 2.53486i 0.00418739 0.131603i
\(372\) −1.09927 0.690719i −0.0569947 0.0358121i
\(373\) 9.21353 2.46876i 0.477059 0.127827i −0.0122741 0.999925i \(-0.503907\pi\)
0.489333 + 0.872097i \(0.337240\pi\)
\(374\) −0.683778 1.18434i −0.0353573 0.0612407i
\(375\) 6.90032 + 9.47690i 0.356331 + 0.489385i
\(376\) −2.58274 3.78819i −0.133195 0.195361i
\(377\) −26.3877 + 2.97317i −1.35903 + 0.153126i
\(378\) −12.6272 + 5.03748i −0.649473 + 0.259100i
\(379\) 14.3243 11.4233i 0.735791 0.586774i −0.182253 0.983252i \(-0.558339\pi\)
0.918044 + 0.396478i \(0.129768\pi\)
\(380\) −0.555681 + 7.20713i −0.0285059 + 0.369718i
\(381\) 3.32622 + 1.30544i 0.170407 + 0.0668800i
\(382\) −3.75457 3.23107i −0.192100 0.165316i
\(383\) 9.95612 + 4.34381i 0.508734 + 0.221958i 0.638551 0.769580i \(-0.279534\pi\)
−0.129817 + 0.991538i \(0.541439\pi\)
\(384\) 0.944690 0.454939i 0.0482085 0.0232160i
\(385\) 2.06623 + 8.91121i 0.105305 + 0.454157i
\(386\) −6.98866 3.36556i −0.355714 0.171303i
\(387\) −6.34809 7.37661i −0.322691 0.374974i
\(388\) 6.95345 13.1566i 0.353008 0.667924i
\(389\) 9.72718 14.2672i 0.493188 0.723373i −0.496274 0.868166i \(-0.665299\pi\)
0.989462 + 0.144792i \(0.0462514\pi\)
\(390\) 5.33219 + 2.34007i 0.270006 + 0.118494i
\(391\) 0.647555i 0.0327483i
\(392\) −5.88505 + 3.79028i −0.297240 + 0.191438i
\(393\) −8.19632 8.19632i −0.413450 0.413450i
\(394\) −3.34579 22.1978i −0.168558 1.11831i
\(395\) −8.90188 + 22.5390i −0.447902 + 1.13406i
\(396\) 2.80819 0.866212i 0.141117 0.0435288i
\(397\) 3.47897 2.99390i 0.174605 0.150259i −0.560644 0.828057i \(-0.689446\pi\)
0.735249 + 0.677798i \(0.237065\pi\)
\(398\) −11.0245 + 3.85763i −0.552606 + 0.193365i
\(399\) 8.90581 1.05391i 0.445848 0.0527616i
\(400\) 3.13423 3.89572i 0.156711 0.194786i
\(401\) 2.87780 + 7.33252i 0.143711 + 0.366168i 0.984547 0.175121i \(-0.0560316\pi\)
−0.840836 + 0.541289i \(0.817936\pi\)
\(402\) 6.24175 7.25304i 0.311310 0.361749i
\(403\) −2.81860 + 1.22974i −0.140405 + 0.0612579i
\(404\) 2.42986 + 0.749511i 0.120890 + 0.0372896i
\(405\) 0.548042 + 0.438979i 0.0272324 + 0.0218130i
\(406\) 28.2618 1.21579i 1.40261 0.0603386i
\(407\) 0.678197 + 6.01916i 0.0336170 + 0.298359i
\(408\) 0.911198 + 0.172408i 0.0451110 + 0.00853547i
\(409\) −1.74380 + 1.61801i −0.0862254 + 0.0800055i −0.722108 0.691780i \(-0.756827\pi\)
0.635883 + 0.771786i \(0.280636\pi\)
\(410\) −0.241748 + 6.10937i −0.0119391 + 0.301720i
\(411\) −15.3097 8.83904i −0.755170 0.435998i
\(412\) 4.60899 7.33516i 0.227069 0.361378i
\(413\) 6.50778 3.80595i 0.320227 0.187279i
\(414\) 1.35665 + 0.309646i 0.0666755 + 0.0152183i
\(415\) 9.06115 2.40706i 0.444794 0.118158i
\(416\) 0.370167 2.45589i 0.0181489 0.120410i
\(417\) −16.2563 + 11.9977i −0.796075 + 0.587530i
\(418\) −4.99499 + 0.186899i −0.244313 + 0.00914155i
\(419\) 5.59362 24.5073i 0.273266 1.19726i −0.632865 0.774262i \(-0.718121\pi\)
0.906132 0.422996i \(-0.139022\pi\)
\(420\) −5.49426 2.87965i −0.268093 0.140512i
\(421\) 7.49676 + 32.8454i 0.365370 + 1.60079i 0.739330 + 0.673344i \(0.235143\pi\)
−0.373960 + 0.927445i \(0.622000\pi\)
\(422\) −2.61260 9.75037i −0.127180 0.474640i
\(423\) 8.41703 + 2.25534i 0.409250 + 0.109658i
\(424\) −0.651994 0.702683i −0.0316636 0.0341253i
\(425\) 4.27643 1.12618i 0.207437 0.0546279i
\(426\) 3.28828 + 2.62232i 0.159318 + 0.127052i
\(427\) 5.17201 0.809162i 0.250291 0.0391581i
\(428\) 1.94347 17.2488i 0.0939412 0.833751i
\(429\) −1.18687 + 3.84773i −0.0573026 + 0.185770i
\(430\) 1.73085 11.3183i 0.0834688 0.545816i
\(431\) −3.01297 40.2053i −0.145130 1.93662i −0.310874 0.950451i \(-0.600622\pi\)
0.165744 0.986169i \(-0.446997\pi\)
\(432\) −2.05481 + 4.70966i −0.0988619 + 0.226594i
\(433\) −10.0859 + 28.8240i −0.484700 + 1.38519i 0.398920 + 0.916986i \(0.369385\pi\)
−0.883619 + 0.468206i \(0.844901\pi\)
\(434\) 3.08599 1.09924i 0.148132 0.0527653i
\(435\) 13.2912 + 21.2542i 0.637266 + 1.01906i
\(436\) −0.927387 + 12.3751i −0.0444138 + 0.592661i
\(437\) −2.09256 1.10595i −0.100101 0.0529049i
\(438\) −1.34865 7.12778i −0.0644409 0.340578i
\(439\) 20.3159 3.06214i 0.969627 0.146148i 0.354914 0.934899i \(-0.384510\pi\)
0.614713 + 0.788751i \(0.289272\pi\)
\(440\) 2.92357 + 1.84578i 0.139376 + 0.0879939i
\(441\) 3.77903 12.7561i 0.179954 0.607435i
\(442\) 1.55326 1.55326i 0.0738810 0.0738810i
\(443\) −10.0765 7.43679i −0.478749 0.353333i 0.327557 0.944831i \(-0.393775\pi\)
−0.806306 + 0.591499i \(0.798536\pi\)
\(444\) −3.39380 2.31386i −0.161063 0.109811i
\(445\) −1.66106 + 0.954261i −0.0787420 + 0.0452363i
\(446\) 13.5521 + 1.01559i 0.641712 + 0.0480897i
\(447\) 1.98362 + 5.66885i 0.0938218 + 0.268127i
\(448\) −0.574301 + 2.58267i −0.0271332 + 0.122020i
\(449\) 1.87463 + 3.89271i 0.0884692 + 0.183708i 0.940509 0.339769i \(-0.110349\pi\)
−0.852040 + 0.523477i \(0.824635\pi\)
\(450\) 0.314499 + 9.49775i 0.0148256 + 0.447728i
\(451\) −4.21608 + 0.315952i −0.198528 + 0.0148776i
\(452\) 7.15335 + 16.3957i 0.336465 + 0.771187i
\(453\) −7.96044 + 4.20721i −0.374014 + 0.197672i
\(454\) 16.0653 + 20.1453i 0.753984 + 0.945466i
\(455\) −12.9669 + 6.91044i −0.607899 + 0.323966i
\(456\) 2.11336 2.65007i 0.0989672 0.124101i
\(457\) 4.78284 25.2779i 0.223732 1.18245i −0.672920 0.739715i \(-0.734960\pi\)
0.896652 0.442737i \(-0.145992\pi\)
\(458\) −1.00374 + 26.8256i −0.0469019 + 1.25348i
\(459\) −3.93577 + 2.27232i −0.183706 + 0.106063i
\(460\) 0.761879 + 1.44908i 0.0355228 + 0.0675635i
\(461\) 41.1371 9.38928i 1.91595 0.437303i 0.916655 0.399678i \(-0.130878\pi\)
0.999292 0.0376242i \(-0.0119790\pi\)
\(462\) 1.54476 4.00165i 0.0718688 0.186173i
\(463\) 21.0747 13.2421i 0.979426 0.615414i 0.0556921 0.998448i \(-0.482263\pi\)
0.923734 + 0.383034i \(0.125121\pi\)
\(464\) 7.27230 7.83767i 0.337608 0.363855i
\(465\) 2.19632 + 1.89832i 0.101852 + 0.0880326i
\(466\) −12.2585 1.84768i −0.567866 0.0855921i
\(467\) 0.0713593 + 1.90712i 0.00330211 + 0.0882509i 0.999977 + 0.00677071i \(0.00215520\pi\)
−0.996675 + 0.0814802i \(0.974035\pi\)
\(468\) 2.51139 + 3.99686i 0.116089 + 0.184755i
\(469\) 4.62154 + 23.6991i 0.213403 + 1.09432i
\(470\) 4.42834 + 9.24633i 0.204264 + 0.426501i
\(471\) −0.342586 + 0.593377i −0.0157855 + 0.0273414i
\(472\) 0.737498 2.75238i 0.0339461 0.126688i
\(473\) 7.91198 + 0.296046i 0.363793 + 0.0136122i
\(474\) 9.38885 6.40121i 0.431244 0.294017i
\(475\) 3.66442 15.7426i 0.168135 0.722321i
\(476\) −1.76511 + 1.53626i −0.0809036 + 0.0704145i
\(477\) 1.81040 + 0.203983i 0.0828924 + 0.00933973i
\(478\) −9.74882 18.4457i −0.445901 0.843685i
\(479\) −4.68691 + 11.9420i −0.214150 + 0.545646i −0.997072 0.0764749i \(-0.975633\pi\)
0.782921 + 0.622121i \(0.213729\pi\)
\(480\) −2.24189 + 0.686259i −0.102328 + 0.0313233i
\(481\) −9.05691 + 3.55457i −0.412959 + 0.162075i
\(482\) 0.139395 + 0.0487765i 0.00634927 + 0.00222171i
\(483\) 1.58088 1.27524i 0.0719325 0.0580253i
\(484\) 3.73538 7.75660i 0.169790 0.352573i
\(485\) −19.8169 + 26.7305i −0.899839 + 1.21377i
\(486\) −4.64076 15.0450i −0.210509 0.682454i
\(487\) 0.815427 0.154287i 0.0369505 0.00699142i −0.167403 0.985888i \(-0.553538\pi\)
0.204354 + 0.978897i \(0.434491\pi\)
\(488\) 1.17494 1.59199i 0.0531872 0.0720660i
\(489\) −14.6195 −0.661118
\(490\) 14.2893 6.38867i 0.645526 0.288611i
\(491\) −27.2719 −1.23076 −0.615381 0.788230i \(-0.710998\pi\)
−0.615381 + 0.788230i \(0.710998\pi\)
\(492\) 1.70249 2.30680i 0.0767544 0.103998i
\(493\) 9.29150 1.75805i 0.418468 0.0791784i
\(494\) −2.36654 7.67213i −0.106476 0.345186i
\(495\) −6.49994 + 0.965424i −0.292151 + 0.0433926i
\(496\) 0.537227 1.11556i 0.0241222 0.0500902i
\(497\) −10.3332 + 2.41937i −0.463509 + 0.108524i
\(498\) −4.14957 1.45200i −0.185947 0.0650656i
\(499\) 16.6874 6.54931i 0.747030 0.293187i 0.0388742 0.999244i \(-0.487623\pi\)
0.708155 + 0.706057i \(0.249528\pi\)
\(500\) −8.24464 + 7.55155i −0.368711 + 0.337716i
\(501\) 3.55520 9.05851i 0.158835 0.404705i
\(502\) 12.2896 + 23.2531i 0.548512 + 1.03784i
\(503\) 13.7646 + 1.55090i 0.613734 + 0.0691513i 0.413359 0.910568i \(-0.364355\pi\)
0.200375 + 0.979719i \(0.435784\pi\)
\(504\) −2.37448 4.43256i −0.105768 0.197442i
\(505\) −5.11753 2.47804i −0.227727 0.110271i
\(506\) −0.935373 + 0.637727i −0.0415824 + 0.0283504i
\(507\) 7.15806 + 0.267836i 0.317901 + 0.0118950i
\(508\) −0.882017 + 3.29173i −0.0391332 + 0.146047i
\(509\) 21.7332 37.6430i 0.963308 1.66850i 0.249214 0.968448i \(-0.419828\pi\)
0.714094 0.700050i \(-0.246839\pi\)
\(510\) −1.95581 0.689089i −0.0866047 0.0305134i
\(511\) 16.2310 + 8.46256i 0.718018 + 0.374361i
\(512\) 0.532032 + 0.846724i 0.0235127 + 0.0374203i
\(513\) 0.621101 + 16.5993i 0.0274223 + 0.732876i
\(514\) −0.142058 0.0214119i −0.00626593 0.000944437i
\(515\) −12.6670 + 14.6555i −0.558175 + 0.645799i
\(516\) −3.65186 + 3.93577i −0.160764 + 0.173262i
\(517\) −6.00264 + 3.77171i −0.263996 + 0.165880i
\(518\) 9.88684 3.11034i 0.434403 0.136661i
\(519\) −18.9182 + 4.31795i −0.830416 + 0.189537i
\(520\) −1.64835 + 5.30332i −0.0722849 + 0.232566i
\(521\) −23.3794 + 13.4981i −1.02427 + 0.591362i −0.915337 0.402688i \(-0.868076\pi\)
−0.108931 + 0.994049i \(0.534743\pi\)
\(522\) −0.759820 + 20.3066i −0.0332564 + 0.888796i
\(523\) 2.31262 12.2225i 0.101124 0.534452i −0.894968 0.446130i \(-0.852802\pi\)
0.996092 0.0883221i \(-0.0281505\pi\)
\(524\) 6.89261 8.64306i 0.301105 0.377574i
\(525\) 11.1710 + 8.22226i 0.487542 + 0.358849i
\(526\) −14.4149 18.0757i −0.628518 0.788137i
\(527\) 0.968198 0.511708i 0.0421754 0.0222903i
\(528\) −0.648330 1.48599i −0.0282150 0.0646694i
\(529\) 22.4011 1.67873i 0.973962 0.0729884i
\(530\) 1.20363 + 1.77358i 0.0522823 + 0.0770393i
\(531\) 2.34978 + 4.87936i 0.101972 + 0.211746i
\(532\) 1.94980 + 8.32769i 0.0845347 + 0.361051i
\(533\) −2.24295 6.40999i −0.0971530 0.277647i
\(534\) 0.895770 + 0.0671287i 0.0387638 + 0.00290494i
\(535\) −10.1262 + 37.4693i −0.437795 + 1.61994i
\(536\) 7.54038 + 5.14095i 0.325695 + 0.222055i
\(537\) 14.5510 + 10.7392i 0.627924 + 0.463429i
\(538\) −7.11509 + 7.11509i −0.306754 + 0.306754i
\(539\) 5.51630 + 9.31241i 0.237604 + 0.401114i
\(540\) 6.13385 9.71554i 0.263959 0.418090i
\(541\) −17.2495 + 2.59995i −0.741615 + 0.111780i −0.508974 0.860782i \(-0.669975\pi\)
−0.232641 + 0.972563i \(0.574737\pi\)
\(542\) −3.69520 19.5296i −0.158722 0.838867i
\(543\) 21.0765 + 11.1393i 0.904479 + 0.478031i
\(544\) −0.0660947 + 0.881973i −0.00283379 + 0.0378143i
\(545\) 6.23292 27.0401i 0.266989 1.15827i
\(546\) 6.85084 + 0.733129i 0.293189 + 0.0313750i
\(547\) 2.24969 6.42925i 0.0961899 0.274895i −0.885727 0.464206i \(-0.846340\pi\)
0.981917 + 0.189311i \(0.0606255\pi\)
\(548\) 6.74215 15.4532i 0.288010 0.660127i
\(549\) 0.281026 + 3.75003i 0.0119939 + 0.160047i
\(550\) −5.83826 5.06808i −0.248944 0.216104i
\(551\) 10.1878 33.0279i 0.434013 1.40704i
\(552\) 0.0859538 0.762861i 0.00365844 0.0324695i
\(553\) −1.98282 + 28.6046i −0.0843179 + 1.21639i
\(554\) 13.9362 + 11.1137i 0.592091 + 0.472177i
\(555\) 6.71943 + 6.26166i 0.285224 + 0.265792i
\(556\) −13.1064 14.1253i −0.555834 0.599047i
\(557\) 31.0369 + 8.31631i 1.31508 + 0.352374i 0.847131 0.531384i \(-0.178328\pi\)
0.467945 + 0.883758i \(0.344995\pi\)
\(558\) 0.609073 + 2.27309i 0.0257841 + 0.0962276i
\(559\) 2.82992 + 12.3987i 0.119693 + 0.524408i
\(560\) 2.14241 5.51453i 0.0905335 0.233032i
\(561\) 0.319077 1.39797i 0.0134715 0.0590223i
\(562\) −13.8782 + 0.519286i −0.585417 + 0.0219047i
\(563\) 24.0867 17.7768i 1.01513 0.749202i 0.0468102 0.998904i \(-0.485094\pi\)
0.968323 + 0.249702i \(0.0803325\pi\)
\(564\) 0.716498 4.75366i 0.0301700 0.200165i
\(565\) −10.2695 38.6585i −0.432041 1.62637i
\(566\) −27.2993 6.23090i −1.14748 0.261904i
\(567\) 0.775080 + 0.299205i 0.0325503 + 0.0125654i
\(568\) −2.13410 + 3.39640i −0.0895448 + 0.142510i
\(569\) −38.2551 22.0866i −1.60374 0.925919i −0.990730 0.135843i \(-0.956626\pi\)
−0.613008 0.790076i \(-0.710041\pi\)
\(570\) −5.56709 + 5.14328i −0.233180 + 0.215428i
\(571\) −14.8608 + 13.7888i −0.621906 + 0.577044i −0.926899 0.375310i \(-0.877536\pi\)
0.304993 + 0.952354i \(0.401346\pi\)
\(572\) −3.77332 0.713951i −0.157770 0.0298518i
\(573\) −0.581523 5.16116i −0.0242935 0.215610i
\(574\) 1.91144 + 6.97728i 0.0797819 + 0.291226i
\(575\) −1.19422 3.46053i −0.0498023 0.144314i
\(576\) −1.81615 0.560209i −0.0756731 0.0233420i
\(577\) −37.9978 + 16.5783i −1.58187 + 0.690162i −0.993005 0.118072i \(-0.962329\pi\)
−0.588862 + 0.808233i \(0.700424\pi\)
\(578\) 10.5786 12.2926i 0.440013 0.511305i
\(579\) −2.97141 7.57102i −0.123488 0.314641i
\(580\) −18.7238 + 14.8660i −0.777462 + 0.617276i
\(581\) 9.35968 5.95434i 0.388305 0.247028i
\(582\) 14.7276 5.15341i 0.610478 0.213616i
\(583\) −1.12344 + 0.966802i −0.0465283 + 0.0400408i
\(584\) 6.61114 2.03927i 0.273571 0.0843855i
\(585\) −4.20009 9.68344i −0.173652 0.400361i
\(586\) −3.71857 24.6711i −0.153613 1.01915i
\(587\) 2.73556 + 2.73556i 0.112909 + 0.112909i 0.761304 0.648395i \(-0.224560\pi\)
−0.648395 + 0.761304i \(0.724560\pi\)
\(588\) −7.22654 1.28379i −0.298018 0.0529425i
\(589\) 4.00266i 0.164927i
\(590\) −2.56050 + 5.83449i −0.105414 + 0.240202i
\(591\) 13.2594 19.4479i 0.545418 0.799982i
\(592\) 1.83049 3.46346i 0.0752328 0.142347i
\(593\) −2.36548 2.74874i −0.0971388 0.112877i 0.707298 0.706915i \(-0.249914\pi\)
−0.804437 + 0.594038i \(0.797533\pi\)
\(594\) 7.15833 + 3.44727i 0.293710 + 0.141443i
\(595\) 4.42083 2.79907i 0.181237 0.114751i
\(596\) −5.16068 + 2.48525i −0.211390 + 0.101800i
\(597\) −11.2248 4.89735i −0.459403 0.200435i
\(598\) −1.37831 1.18613i −0.0563632 0.0485044i
\(599\) −17.4318 6.84148i −0.712244 0.279535i −0.0185735 0.999827i \(-0.505912\pi\)
−0.693671 + 0.720292i \(0.744008\pi\)
\(600\) 5.18739 0.759080i 0.211774 0.0309893i
\(601\) 11.8075 9.41614i 0.481637 0.384092i −0.352358 0.935865i \(-0.614620\pi\)
0.833994 + 0.551773i \(0.186049\pi\)
\(602\) −2.09406 13.3848i −0.0853475 0.545525i
\(603\) −17.2360 + 1.94203i −0.701905 + 0.0790857i
\(604\) −4.83731 7.09503i −0.196827 0.288693i
\(605\) −10.8785 + 15.8823i −0.442273 + 0.645708i
\(606\) 1.33311 + 2.30901i 0.0541539 + 0.0937973i
\(607\) −26.4457 + 7.08610i −1.07340 + 0.287616i −0.751888 0.659291i \(-0.770857\pi\)
−0.321509 + 0.946906i \(0.604190\pi\)
\(608\) 2.73720 + 1.71990i 0.111008 + 0.0697510i
\(609\) 22.5898 + 19.2213i 0.915385 + 0.778884i
\(610\) −3.13519 + 3.12174i −0.126940 + 0.126395i
\(611\) −8.34735 7.74521i −0.337698 0.313338i
\(612\) −0.998194 1.35251i −0.0403496 0.0546718i
\(613\) −1.84323 2.49748i −0.0744472 0.100872i 0.765792 0.643089i \(-0.222347\pi\)
−0.840239 + 0.542216i \(0.817585\pi\)
\(614\) −10.9934 10.2004i −0.443658 0.411655i
\(615\) −4.54289 + 4.52340i −0.183187 + 0.182401i
\(616\) 3.95740 + 1.03670i 0.159448 + 0.0417698i
\(617\) −1.41661 0.890113i −0.0570304 0.0358346i 0.503215 0.864161i \(-0.332150\pi\)
−0.560245 + 0.828327i \(0.689293\pi\)
\(618\) 8.77387 2.35095i 0.352937 0.0945691i
\(619\) −18.3800 31.8351i −0.738754 1.27956i −0.953057 0.302792i \(-0.902081\pi\)
0.214303 0.976767i \(-0.431252\pi\)
\(620\) −1.56455 + 2.28421i −0.0628340 + 0.0917362i
\(621\) 2.11928 + 3.10841i 0.0850438 + 0.124736i
\(622\) −20.6784 + 2.32989i −0.829128 + 0.0934203i
\(623\) −1.53239 + 1.67016i −0.0613939 + 0.0669135i
\(624\) 2.03601 1.62367i 0.0815057 0.0649986i
\(625\) 20.7763 13.9049i 0.831052 0.556195i
\(626\) −1.78390 0.700131i −0.0712991 0.0279829i
\(627\) −3.97257 3.41867i −0.158649 0.136529i
\(628\) −0.598939 0.261314i −0.0239003 0.0104276i
\(629\) 3.12164 1.50330i 0.124468 0.0599406i
\(630\) 3.75019 + 10.6002i 0.149411 + 0.422323i
\(631\) −5.26470 2.53535i −0.209585 0.100931i 0.326147 0.945319i \(-0.394250\pi\)
−0.535731 + 0.844389i \(0.679964\pi\)
\(632\) 7.06913 + 8.21448i 0.281195 + 0.326755i
\(633\) 4.94565 9.35763i 0.196572 0.371932i
\(634\) 15.9165 23.3452i 0.632125 0.927157i
\(635\) 3.06226 6.97781i 0.121522 0.276906i
\(636\) 1.00509i 0.0398543i
\(637\) −12.1551 + 12.4301i −0.481603 + 0.492498i
\(638\) −11.6899 11.6899i −0.462808 0.462808i
\(639\) −1.13625 7.53854i −0.0449495 0.298220i
\(640\) −0.889778 2.05141i −0.0351716 0.0810892i
\(641\) 23.5907 7.27676i 0.931775 0.287415i 0.208538 0.978014i \(-0.433130\pi\)
0.723237 + 0.690600i \(0.242653\pi\)
\(642\) 13.7953 11.8718i 0.544456 0.468542i
\(643\) −41.8743 + 14.6524i −1.65136 + 0.577836i −0.985713 0.168432i \(-0.946130\pi\)
−0.665646 + 0.746268i \(0.731844\pi\)
\(644\) 1.37738 + 1.36206i 0.0542765 + 0.0536728i
\(645\) 9.40233 7.46510i 0.370217 0.293938i
\(646\) 1.04456 + 2.66150i 0.0410978 + 0.104715i
\(647\) −8.09680 + 9.40865i −0.318318 + 0.369892i −0.894221 0.447626i \(-0.852270\pi\)
0.575903 + 0.817518i \(0.304651\pi\)
\(648\) 0.287822 0.125575i 0.0113067 0.00493306i
\(649\) −4.21020 1.29867i −0.165265 0.0509774i
\(650\) 5.43609 11.1651i 0.213221 0.437932i
\(651\) 3.15592 + 1.35596i 0.123690 + 0.0531441i
\(652\) −1.56111 13.8552i −0.0611378 0.542613i
\(653\) 12.5578 + 2.37606i 0.491425 + 0.0929826i 0.425717 0.904856i \(-0.360022\pi\)
0.0657077 + 0.997839i \(0.479070\pi\)
\(654\) −9.53849 + 8.85043i −0.372985 + 0.346079i
\(655\) −18.1568 + 16.7745i −0.709443 + 0.655435i
\(656\) 2.36800 + 1.36717i 0.0924549 + 0.0533789i
\(657\) −6.99583 + 11.1338i −0.272933 + 0.434371i
\(658\) 8.30037 + 8.84594i 0.323582 + 0.344850i
\(659\) −7.52147 1.71673i −0.292995 0.0668742i 0.0734969 0.997295i \(-0.476584\pi\)
−0.366492 + 0.930421i \(0.619441\pi\)
\(660\) 0.930756 + 3.50374i 0.0362296 + 0.136383i
\(661\) −2.56494 + 17.0173i −0.0997646 + 0.661895i 0.881923 + 0.471394i \(0.156249\pi\)
−0.981687 + 0.190500i \(0.938989\pi\)
\(662\) 15.0083 11.0766i 0.583314 0.430505i
\(663\) 2.30163 0.0861208i 0.0893877 0.00334465i
\(664\) 0.932989 4.08769i 0.0362070 0.158633i
\(665\) −1.49486 19.0664i −0.0579680 0.739362i
\(666\) 1.65677 + 7.25877i 0.0641984 + 0.281271i
\(667\) −2.02607 7.56139i −0.0784496 0.292778i
\(668\) 8.96459 + 2.40205i 0.346850 + 0.0929383i
\(669\) 9.69220 + 10.4457i 0.374722 + 0.403854i
\(670\) −14.9293 13.9122i −0.576769 0.537475i
\(671\) −2.39193 1.90750i −0.0923395 0.0736383i
\(672\) −2.28333 + 1.57552i −0.0880813 + 0.0607771i
\(673\) 4.26797 37.8793i 0.164518 1.46014i −0.591879 0.806027i \(-0.701614\pi\)
0.756397 0.654113i \(-0.226958\pi\)
\(674\) −3.17184 + 10.2829i −0.122175 + 0.396081i
\(675\) −16.8421 + 19.4016i −0.648254 + 0.746768i
\(676\) 0.510523 + 6.81246i 0.0196355 + 0.262018i
\(677\) 1.62602 3.72688i 0.0624930 0.143236i −0.882513 0.470287i \(-0.844150\pi\)
0.945006 + 0.327052i \(0.106055\pi\)
\(678\) −6.19480 + 17.7037i −0.237910 + 0.679908i
\(679\) −12.7956 + 37.2343i −0.491049 + 1.42892i
\(680\) 0.444219 1.92715i 0.0170350 0.0739027i
\(681\) −2.01900 + 26.9416i −0.0773682 + 1.03241i
\(682\) −1.69265 0.894592i −0.0648149 0.0342557i
\(683\) 0.235028 + 1.24215i 0.00899311 + 0.0475297i 0.986776 0.162092i \(-0.0518243\pi\)
−0.977782 + 0.209622i \(0.932777\pi\)
\(684\) −6.07541 + 0.915720i −0.232299 + 0.0350134i
\(685\) −20.1261 + 31.8783i −0.768980 + 1.21801i
\(686\) 13.8332 12.3143i 0.528154 0.470163i
\(687\) −19.9030 + 19.9030i −0.759346 + 0.759346i
\(688\) −4.11997 3.04068i −0.157072 0.115925i
\(689\) −1.96706 1.34112i −0.0749390 0.0510926i
\(690\) −0.447853 + 1.65715i −0.0170495 + 0.0630867i
\(691\) −31.2796 2.34408i −1.18993 0.0891731i −0.534994 0.844856i \(-0.679686\pi\)
−0.654938 + 0.755683i \(0.727305\pi\)
\(692\) −6.11235 17.4681i −0.232357 0.664038i
\(693\) −6.98624 + 3.41266i −0.265385 + 0.129636i
\(694\) 14.3882 + 29.8775i 0.546170 + 1.13413i
\(695\) 24.1953 + 35.6524i 0.917781 + 1.35237i
\(696\) 11.1793 0.837775i 0.423752 0.0317558i
\(697\) 0.967086 + 2.21659i 0.0366310 + 0.0839591i
\(698\) −18.8302 + 9.95208i −0.712735 + 0.376692i
\(699\) −8.10449 10.1627i −0.306540 0.384389i
\(700\) −6.59956 + 11.4650i −0.249440 + 0.433336i
\(701\) −18.3032 + 22.9515i −0.691303 + 0.866867i −0.996340 0.0854735i \(-0.972760\pi\)
0.305037 + 0.952340i \(0.401331\pi\)
\(702\) −2.37259 + 12.5394i −0.0895475 + 0.473270i
\(703\) 0.473517 12.6550i 0.0178590 0.477293i
\(704\) 1.33907 0.773115i 0.0504683 0.0291379i
\(705\) −3.19056 + 10.2652i −0.120164 + 0.386608i
\(706\) −13.6794 + 3.12223i −0.514831 + 0.117507i
\(707\) −6.65805 0.965490i −0.250402 0.0363110i
\(708\) 2.52980 1.58958i 0.0950756 0.0597400i
\(709\) 2.51626 2.71189i 0.0945003 0.101847i −0.684031 0.729453i \(-0.739775\pi\)
0.778531 + 0.627606i \(0.215965\pi\)
\(710\) 5.86520 6.78593i 0.220117 0.254672i
\(711\) −20.3675 3.06991i −0.763841 0.115131i
\(712\) 0.0320333 + 0.856109i 0.00120050 + 0.0320840i
\(713\) −0.482311 0.767594i −0.0180627 0.0287466i
\(714\) −2.45234 0.0780291i −0.0917764 0.00292017i
\(715\) 8.09911 + 2.85356i 0.302890 + 0.106717i
\(716\) −8.62394 + 14.9371i −0.322292 + 0.558226i
\(717\) 5.66189 21.1304i 0.211447 0.789131i
\(718\) 12.6119 + 0.471904i 0.470672 + 0.0176113i
\(719\) −18.8639 + 12.8612i −0.703507 + 0.479643i −0.861474 0.507802i \(-0.830458\pi\)
0.157967 + 0.987444i \(0.449506\pi\)
\(720\) 3.82501 + 1.85217i 0.142550 + 0.0690262i
\(721\) −9.04795 + 21.0586i −0.336963 + 0.784265i
\(722\) −8.49593 0.957261i −0.316186 0.0356256i
\(723\) 0.0723561 + 0.136904i 0.00269095 + 0.00509153i
\(724\) −8.30632 + 21.1642i −0.308702 + 0.786560i
\(725\) 46.4115 26.5303i 1.72368 0.985311i
\(726\) 8.40295 3.29791i 0.311863 0.122397i
\(727\) 43.6542 + 15.2753i 1.61905 + 0.566529i 0.979363 0.202110i \(-0.0647797\pi\)
0.639684 + 0.768638i \(0.279065\pi\)
\(728\) 0.0367477 + 6.57098i 0.00136196 + 0.243537i
\(729\) 6.75402 14.0249i 0.250149 0.519439i
\(730\) −15.3024 + 2.27284i −0.566367 + 0.0841214i
\(731\) −1.33490 4.32763i −0.0493730 0.160063i
\(732\) 2.03846 0.385698i 0.0753438 0.0142558i
\(733\) −15.4956 + 20.9959i −0.572345 + 0.775500i −0.991174 0.132565i \(-0.957679\pi\)
0.418830 + 0.908065i \(0.362440\pi\)
\(734\) −0.805019 −0.0297138
\(735\) 15.5394 + 5.28037i 0.573179 + 0.194769i
\(736\) 0.732159 0.0269877
\(737\) 8.37948 11.3538i 0.308662 0.418222i
\(738\) −5.10625 + 0.966154i −0.187964 + 0.0355646i
\(739\) 13.2802 + 43.0534i 0.488520 + 1.58374i 0.779104 + 0.626894i \(0.215674\pi\)
−0.290584 + 0.956849i \(0.593850\pi\)
\(740\) −5.21679 + 7.03679i −0.191773 + 0.258678i
\(741\) 3.65263 7.58476i 0.134183 0.278633i
\(742\) 1.99165 + 1.57014i 0.0731157 + 0.0576418i
\(743\) −10.8905 3.81076i −0.399535 0.139803i 0.123030 0.992403i \(-0.460739\pi\)
−0.522564 + 0.852600i \(0.675025\pi\)
\(744\) 1.20852 0.474310i 0.0443066 0.0173890i
\(745\) 12.2471 3.74891i 0.448698 0.137350i
\(746\) −3.48482 + 8.87918i −0.127588 + 0.325090i
\(747\) 3.72358 + 7.04536i 0.136239 + 0.257776i
\(748\) 1.35896 + 0.153118i 0.0496884 + 0.00559854i
\(749\) 1.97380 + 45.8823i 0.0721211 + 1.67650i
\(750\) −11.7226 0.0755951i −0.428050 0.00276034i
\(751\) 1.55447 1.05982i 0.0567234 0.0386734i −0.534626 0.845089i \(-0.679548\pi\)
0.591350 + 0.806415i \(0.298595\pi\)
\(752\) 4.58166 + 0.171433i 0.167076 + 0.00625154i
\(753\) −7.13752 + 26.6376i −0.260106 + 0.970727i
\(754\) 13.2773 22.9970i 0.483531 0.837501i
\(755\) 8.29398 + 17.3178i 0.301849 + 0.630258i
\(756\) 3.44514 13.1512i 0.125298 0.478303i
\(757\) −1.27286 2.02574i −0.0462628 0.0736268i 0.822792 0.568342i \(-0.192415\pi\)
−0.869055 + 0.494716i \(0.835272\pi\)
\(758\) 0.685063 + 18.3087i 0.0248826 + 0.665002i
\(759\) −1.17376 0.176917i −0.0426049 0.00642166i
\(760\) −5.46887 4.72684i −0.198377 0.171461i
\(761\) 28.2563 30.4530i 1.02429 1.10392i 0.0297500 0.999557i \(-0.490529\pi\)
0.994539 0.104364i \(-0.0332806\pi\)
\(762\) −3.02553 + 1.90107i −0.109604 + 0.0688685i
\(763\) −2.63670 32.7273i −0.0954549 1.18481i
\(764\) 4.82925 1.10224i 0.174716 0.0398778i
\(765\) 1.74921 + 3.32695i 0.0632426 + 0.120286i
\(766\) −9.40717 + 5.43123i −0.339895 + 0.196238i
\(767\) 0.264619 7.07210i 0.00955485 0.255359i
\(768\) −0.194933 + 1.03025i −0.00703405 + 0.0371758i
\(769\) −6.69502 + 8.39529i −0.241428 + 0.302742i −0.887752 0.460322i \(-0.847734\pi\)
0.646324 + 0.763063i \(0.276306\pi\)
\(770\) −8.39691 3.62917i −0.302604 0.130786i
\(771\) −0.0939191 0.117771i −0.00338241 0.00424141i
\(772\) 6.85793 3.62452i 0.246822 0.130449i
\(773\) 15.5083 + 35.5453i 0.557793 + 1.27848i 0.935754 + 0.352654i \(0.114721\pi\)
−0.377961 + 0.925822i \(0.623375\pi\)
\(774\) 9.70483 0.727276i 0.348833 0.0261414i
\(775\) 4.23036 4.52011i 0.151959 0.162367i
\(776\) 6.45665 + 13.4074i 0.231780 + 0.481297i
\(777\) 9.81750 + 4.66041i 0.352201 + 0.167191i
\(778\) 5.70312 + 16.2986i 0.204467 + 0.584333i
\(779\) 8.81454 + 0.660559i 0.315814 + 0.0236670i
\(780\) −5.04918 + 2.90069i −0.180790 + 0.103861i
\(781\) 5.12456 + 3.49386i 0.183371 + 0.125020i
\(782\) 0.521021 + 0.384531i 0.0186317 + 0.0137508i
\(783\) −38.8477 + 38.8477i −1.38830 + 1.38830i
\(784\) 0.445005 6.98584i 0.0158931 0.249494i
\(785\) 1.23555 + 0.780055i 0.0440986 + 0.0278414i
\(786\) 11.4619 1.72760i 0.408832 0.0616215i
\(787\) −7.51581 39.7220i −0.267910 1.41594i −0.815290 0.579053i \(-0.803423\pi\)
0.547381 0.836884i \(-0.315625\pi\)
\(788\) 19.8471 + 10.4895i 0.707024 + 0.373673i
\(789\) 1.81157 24.1738i 0.0644938 0.860610i
\(790\) −12.8487 20.5466i −0.457138 0.731014i
\(791\) −25.4036 39.9321i −0.903248 1.41982i
\(792\) −0.970608 + 2.77384i −0.0344891 + 0.0985641i
\(793\) 1.96513 4.50414i 0.0697840 0.159947i
\(794\) 0.342999 + 4.57701i 0.0121726 + 0.162432i
\(795\) −0.339740 + 2.22162i −0.0120494 + 0.0787926i
\(796\) 3.44271 11.1610i 0.122024 0.395591i
\(797\) 2.22768 19.7712i 0.0789085 0.700332i −0.890518 0.454949i \(-0.849658\pi\)
0.969426 0.245383i \(-0.0789139\pi\)
\(798\) −4.44047 + 7.79143i −0.157191 + 0.275814i
\(799\) 3.17038 + 2.52829i 0.112160 + 0.0894445i
\(800\) 1.27332 + 4.83515i 0.0450187 + 0.170948i
\(801\) −1.10749 1.19359i −0.0391313 0.0421736i
\(802\) −7.60862 2.03872i −0.268670 0.0719899i
\(803\) −2.76874 10.3331i −0.0977069 0.364647i
\(804\) 2.12931 + 9.32910i 0.0750949 + 0.329012i
\(805\) −2.58412 3.47625i −0.0910783 0.122522i
\(806\) 0.684294 2.99809i 0.0241032 0.105603i
\(807\) −10.5432 + 0.394498i −0.371137 + 0.0138870i
\(808\) −2.04595 + 1.50998i −0.0719763 + 0.0531210i
\(809\) 3.46397 22.9819i 0.121787 0.808001i −0.841642 0.540036i \(-0.818411\pi\)
0.963429 0.267965i \(-0.0863513\pi\)
\(810\) −0.678640 + 0.180278i −0.0238450 + 0.00633434i
\(811\) −36.7900 8.39708i −1.29187 0.294861i −0.479263 0.877671i \(-0.659096\pi\)
−0.812609 + 0.582810i \(0.801953\pi\)
\(812\) −15.8042 + 23.4613i −0.554619 + 0.823332i
\(813\) 11.0879 17.6463i 0.388869 0.618881i
\(814\) −5.24573 3.02863i −0.183863 0.106153i
\(815\) −1.23272 + 31.1529i −0.0431804 + 1.09124i
\(816\) −0.679807 + 0.630769i −0.0237980 + 0.0220813i
\(817\) −16.2645 3.07742i −0.569024 0.107665i
\(818\) −0.266344 2.36387i −0.00931249 0.0826506i
\(819\) −8.19919 9.42056i −0.286503 0.329181i
\(820\) −4.77203 3.82238i −0.166647 0.133483i
\(821\) −21.0827 6.50314i −0.735790 0.226961i −0.0958605 0.995395i \(-0.530560\pi\)
−0.639930 + 0.768434i \(0.721036\pi\)
\(822\) 16.2031 7.06932i 0.565147 0.246571i
\(823\) 21.8725 25.4163i 0.762428 0.885957i −0.233840 0.972275i \(-0.575129\pi\)
0.996268 + 0.0863177i \(0.0275100\pi\)
\(824\) 3.16495 + 8.06415i 0.110256 + 0.280928i
\(825\) −0.872981 8.05917i −0.0303933 0.280584i
\(826\) −0.802191 + 7.49619i −0.0279118 + 0.260826i
\(827\) −13.6023 + 4.75964i −0.472998 + 0.165509i −0.556242 0.831020i \(-0.687757\pi\)
0.0832448 + 0.996529i \(0.473472\pi\)
\(828\) −1.05474 + 0.907681i −0.0366549 + 0.0315441i
\(829\) −43.7426 + 13.4928i −1.51924 + 0.468625i −0.938447 0.345423i \(-0.887735\pi\)
−0.580798 + 0.814048i \(0.697259\pi\)
\(830\) −3.44398 + 8.71995i −0.119542 + 0.302674i
\(831\) 2.78560 + 18.4813i 0.0966315 + 0.641108i
\(832\) 1.75619 + 1.75619i 0.0608851 + 0.0608851i
\(833\) 3.98565 4.73757i 0.138095 0.164147i
\(834\) 20.2043i 0.699617i
\(835\) −19.0031 8.33965i −0.657630 0.288605i
\(836\) 2.81575 4.12995i 0.0973847 0.142837i
\(837\) −2.97289 + 5.62498i −0.102758 + 0.194428i
\(838\) 16.3969 + 19.0535i 0.566421 + 0.658193i
\(839\) −6.06972 2.92302i −0.209550 0.100914i 0.326165 0.945313i \(-0.394244\pi\)
−0.535715 + 0.844399i \(0.679958\pi\)
\(840\) 5.57956 2.71068i 0.192513 0.0935273i
\(841\) 76.8665 37.0170i 2.65057 1.27645i
\(842\) −30.8791 13.4724i −1.06416 0.464290i
\(843\) −11.0375 9.49851i −0.380151 0.327146i
\(844\) 9.39654 + 3.68787i 0.323442 + 0.126942i
\(845\) 1.17431 15.2306i 0.0403973 0.523949i
\(846\) −6.81284 + 5.43306i −0.234230 + 0.186792i
\(847\) −6.59203 + 21.8030i −0.226505 + 0.749159i
\(848\) 0.952544 0.107326i 0.0327105 0.00368559i
\(849\) −16.5392 24.2586i −0.567624 0.832551i
\(850\) −1.63330 + 4.10955i −0.0560219 + 0.140957i
\(851\) −1.43409 2.48392i −0.0491600 0.0851476i
\(852\) −4.06256 + 1.08856i −0.139181 + 0.0372935i
\(853\) −46.6533 29.3142i −1.59738 1.00370i −0.975338 0.220715i \(-0.929161\pi\)
−0.622041 0.782985i \(-0.713696\pi\)
\(854\) −2.42020 + 4.64189i −0.0828174 + 0.158842i
\(855\) 13.7384 + 0.0295311i 0.469845 + 0.00100994i
\(856\) 12.7243 + 11.8064i 0.434906 + 0.403534i
\(857\) 23.3278 + 31.6080i 0.796861 + 1.07971i 0.995033 + 0.0995413i \(0.0317375\pi\)
−0.198172 + 0.980167i \(0.563501\pi\)
\(858\) −2.39109 3.23981i −0.0816305 0.110605i
\(859\) 24.7621 + 22.9759i 0.844871 + 0.783926i 0.978313 0.207131i \(-0.0664125\pi\)
−0.133442 + 0.991057i \(0.542603\pi\)
\(860\) 8.07885 + 8.11366i 0.275487 + 0.276673i
\(861\) −3.50687 + 6.72610i −0.119514 + 0.229225i
\(862\) 34.1382 + 21.4505i 1.16275 + 0.730606i
\(863\) 13.4293 3.59837i 0.457138 0.122490i −0.0228992 0.999738i \(-0.507290\pi\)
0.480038 + 0.877248i \(0.340623\pi\)
\(864\) −2.56920 4.44999i −0.0874060 0.151392i
\(865\) 7.60599 + 40.6771i 0.258611 + 1.38306i
\(866\) −17.2025 25.2314i −0.584564 0.857397i
\(867\) 16.8978 1.90393i 0.573880 0.0646608i
\(868\) −0.948073 + 3.13573i −0.0321797 + 0.106434i
\(869\) 13.1013 10.4479i 0.444431 0.354422i
\(870\) −24.9937 1.92705i −0.847365 0.0653331i
\(871\) 21.0992 + 8.28083i 0.714920 + 0.280585i
\(872\) −9.40629 8.09477i −0.318537 0.274124i
\(873\) −25.9230 11.3101i −0.877359 0.382788i
\(874\) 2.13245 1.02694i 0.0721313 0.0347366i
\(875\) 18.4629 23.1111i 0.624159 0.781297i
\(876\) 6.53585 + 3.14750i 0.220826 + 0.106344i
\(877\) −31.7068 36.8439i −1.07066 1.24413i −0.968407 0.249373i \(-0.919775\pi\)
−0.102255 0.994758i \(-0.532606\pi\)
\(878\) −9.60023 + 18.1645i −0.323992 + 0.613023i
\(879\) 14.7367 21.6148i 0.497058 0.729050i
\(880\) −3.22118 + 1.25624i −0.108586 + 0.0423477i
\(881\) 30.6167i 1.03150i −0.856739 0.515751i \(-0.827513\pi\)
0.856739 0.515751i \(-0.172487\pi\)
\(882\) 8.01950 + 10.6155i 0.270031 + 0.357441i
\(883\) −24.7845 24.7845i −0.834066 0.834066i 0.154004 0.988070i \(-0.450783\pi\)
−0.988070 + 0.154004i \(0.950783\pi\)
\(884\) 0.327392 + 2.17211i 0.0110114 + 0.0730558i
\(885\) −6.12910 + 2.65843i −0.206028 + 0.0893622i
\(886\) 11.9673 3.69141i 0.402048 0.124015i
\(887\) 21.6796 18.6568i 0.727928 0.626433i −0.208202 0.978086i \(-0.566761\pi\)
0.936130 + 0.351653i \(0.114380\pi\)
\(888\) 3.87703 1.35663i 0.130105 0.0455256i
\(889\) 0.959387 8.96514i 0.0321768 0.300681i
\(890\) 0.218577 1.90315i 0.00732672 0.0637936i
\(891\) −0.177392 0.451987i −0.00594285 0.0151421i
\(892\) −8.86467 + 10.3009i −0.296811 + 0.344901i
\(893\) 13.5848 5.92698i 0.454598 0.198339i
\(894\) −5.73906 1.77026i −0.191943 0.0592065i
\(895\) 24.1112 30.1015i 0.805947 1.00618i
\(896\) −1.73698 1.99572i −0.0580284 0.0666724i
\(897\) −0.213478 1.89467i −0.00712782 0.0632611i
\(898\) −4.24525 0.803246i −0.141666 0.0268046i
\(899\) 9.70446 9.00442i 0.323662 0.300314i
\(900\) −7.82863 5.38691i −0.260954 0.179564i
\(901\) 0.734220 + 0.423902i 0.0244604 + 0.0141222i
\(902\) 2.24938 3.57987i 0.0748962 0.119197i
\(903\) 7.93625 11.7814i 0.264102 0.392059i
\(904\) −17.4397 3.98050i −0.580036 0.132390i
\(905\) 25.5140 43.9729i 0.848113 1.46171i
\(906\) 1.34195 8.90328i 0.0445834 0.295792i
\(907\) 28.7632 21.2282i 0.955066 0.704871i −0.000391248 1.00000i \(-0.500125\pi\)
0.955457 + 0.295129i \(0.0953626\pi\)
\(908\) −25.7488 + 0.963452i −0.854504 + 0.0319733i
\(909\) 1.07542 4.71170i 0.0356693 0.156277i
\(910\) 2.13990 14.5367i 0.0709370 0.481888i
\(911\) −2.54354 11.1440i −0.0842712 0.369216i 0.915154 0.403103i \(-0.132068\pi\)
−0.999426 + 0.0338871i \(0.989211\pi\)
\(912\) 0.877284 + 3.27407i 0.0290498 + 0.108415i
\(913\) −6.26215 1.67794i −0.207247 0.0555316i
\(914\) 17.4984 + 18.8588i 0.578796 + 0.623794i
\(915\) −4.63614 + 0.163493i −0.153266 + 0.00540493i
\(916\) −20.9878 16.7372i −0.693457 0.553013i
\(917\) −14.4824 + 25.4113i −0.478250 + 0.839155i
\(918\) 0.508838 4.51606i 0.0167942 0.149052i
\(919\) −11.2467 + 36.4608i −0.370994 + 1.20273i 0.557119 + 0.830433i \(0.311907\pi\)
−0.928113 + 0.372299i \(0.878570\pi\)
\(920\) −1.61834 0.247485i −0.0533552 0.00815933i
\(921\) −1.17510 15.6806i −0.0387207 0.516692i
\(922\) −16.8735 + 38.6744i −0.555698 + 1.27367i
\(923\) −3.29038 + 9.40335i −0.108304 + 0.309515i
\(924\) 2.30241 + 3.61917i 0.0757436 + 0.119062i
\(925\) 13.9096 13.7905i 0.457346 0.453430i
\(926\) −1.86001 + 24.8201i −0.0611238 + 0.815641i
\(927\) −14.5568 7.69349i −0.478108 0.252687i
\(928\) 1.98774 + 10.5054i 0.0652507 + 0.344858i
\(929\) 23.3505 3.51952i 0.766105 0.115472i 0.245647 0.969359i \(-0.420999\pi\)
0.520458 + 0.853887i \(0.325761\pi\)
\(930\) −2.83161 + 0.639896i −0.0928521 + 0.0209830i
\(931\) −8.50233 20.9708i −0.278653 0.687291i
\(932\) 8.76601 8.76601i 0.287140 0.287140i
\(933\) −17.5555 12.9566i −0.574743 0.424180i
\(934\) −1.57684 1.07507i −0.0515957 0.0351773i
\(935\) −2.95204 0.797803i −0.0965422 0.0260909i
\(936\) −4.70718 0.352754i −0.153859 0.0115301i
\(937\) 0.189900 + 0.542703i 0.00620376 + 0.0177293i 0.946944 0.321400i \(-0.104153\pi\)
−0.940740 + 0.339129i \(0.889868\pi\)
\(938\) −21.8126 10.3545i −0.712207 0.338088i
\(939\) −0.871834 1.81038i −0.0284512 0.0590796i
\(940\) −10.0692 1.92763i −0.328422 0.0628722i
\(941\) 35.8410 2.68591i 1.16838 0.0875582i 0.523628 0.851947i \(-0.324578\pi\)
0.644756 + 0.764389i \(0.276959\pi\)
\(942\) −0.273995 0.628003i −0.00892724 0.0204615i
\(943\) 1.76997 0.935455i 0.0576381 0.0304626i
\(944\) 1.77662 + 2.22781i 0.0578239 + 0.0725089i
\(945\) −12.0604 + 27.9044i −0.392325 + 0.907732i
\(946\) −4.93649 + 6.19017i −0.160499 + 0.201260i
\(947\) −10.5552 + 55.7856i −0.342998 + 1.81279i 0.207824 + 0.978166i \(0.433362\pi\)
−0.550822 + 0.834623i \(0.685686\pi\)
\(948\) −0.424890 + 11.3554i −0.0137998 + 0.368807i
\(949\) 14.8810 8.59153i 0.483056 0.278893i
\(950\) 10.4905 + 12.2967i 0.340356 + 0.398957i
\(951\) 28.8831 6.59239i 0.936600 0.213773i
\(952\) −0.187917 2.33247i −0.00609043 0.0755957i
\(953\) 34.6254 21.7566i 1.12163 0.704764i 0.162209 0.986756i \(-0.448138\pi\)
0.959417 + 0.281992i \(0.0909952\pi\)
\(954\) −1.23917 + 1.33551i −0.0401198 + 0.0432388i
\(955\) −11.0470 + 0.803983i −0.357473 + 0.0260163i
\(956\) 20.6304 + 3.10953i 0.667234 + 0.100569i
\(957\) −0.648150 17.3222i −0.0209517 0.559946i
\(958\) −6.82536 10.8625i −0.220517 0.350951i
\(959\) −11.3040 + 43.1511i −0.365027 + 1.39342i
\(960\) 0.779120 2.21134i 0.0251460 0.0713706i
\(961\) −14.7335 + 25.5191i −0.475273 + 0.823196i
\(962\) 2.51817 9.39795i 0.0811891 0.303002i
\(963\) −32.9672 1.23355i −1.06235 0.0397505i
\(964\) −0.122021 + 0.0831926i −0.00393003 + 0.00267945i
\(965\) −16.3837 + 5.69342i −0.527411 + 0.183278i
\(966\) 0.0872952 + 2.02923i 0.00280868 + 0.0652896i
\(967\) −9.44632 1.06434i −0.303773 0.0342270i −0.0412377 0.999149i \(-0.513130\pi\)
−0.262535 + 0.964922i \(0.584559\pi\)
\(968\) 4.02280 + 7.61150i 0.129298 + 0.244643i
\(969\) −1.09525 + 2.79066i −0.0351846 + 0.0896488i
\(970\) −9.73963 31.8178i −0.312721 1.02161i
\(971\) −13.2287 + 5.19188i −0.424529 + 0.166615i −0.567980 0.823042i \(-0.692275\pi\)
0.143452 + 0.989657i \(0.454180\pi\)
\(972\) 14.8609 + 5.20007i 0.476665 + 0.166792i
\(973\) 40.0361 + 31.5630i 1.28350 + 1.01186i
\(974\) −0.360078 + 0.747709i −0.0115376 + 0.0239582i
\(975\) 12.1410 4.70488i 0.388825 0.150677i
\(976\) 0.583208 + 1.89071i 0.0186680 + 0.0605202i
\(977\) 19.9956 3.78338i 0.639717 0.121041i 0.144074 0.989567i \(-0.453980\pi\)
0.495644 + 0.868526i \(0.334932\pi\)
\(978\) 8.68137 11.7628i 0.277600 0.376134i
\(979\) 1.32467 0.0423366
\(980\) −3.34499 + 15.2909i −0.106852 + 0.488449i
\(981\) 23.5860 0.753043
\(982\) 16.1946 21.9429i 0.516790 0.700226i
\(983\) −5.15551 + 0.975475i −0.164435 + 0.0311128i −0.267477 0.963564i \(-0.586190\pi\)
0.103042 + 0.994677i \(0.467142\pi\)
\(984\) 0.845069 + 2.73965i 0.0269398 + 0.0873367i
\(985\) −40.3238 29.8945i −1.28482 0.952516i
\(986\) −4.10296 + 8.51988i −0.130665 + 0.271328i
\(987\) 0.0711292 + 12.7189i 0.00226407 + 0.404846i
\(988\) 7.57828 + 2.65176i 0.241097 + 0.0843636i
\(989\) −3.48989 + 1.36968i −0.110972 + 0.0435533i
\(990\) 3.08302 5.80313i 0.0979848 0.184436i
\(991\) −14.5586 + 37.0946i −0.462468 + 1.17835i 0.489460 + 0.872026i \(0.337194\pi\)
−0.951928 + 0.306323i \(0.900901\pi\)
\(992\) 0.578563 + 1.09469i 0.0183694 + 0.0347566i
\(993\) 19.4354 + 2.18984i 0.616763 + 0.0694925i
\(994\) 4.18947 9.75078i 0.132882 0.309276i
\(995\) −11.3823 + 23.5062i −0.360844 + 0.745198i
\(996\) 3.63237 2.47651i 0.115096 0.0784713i
\(997\) −0.366078 0.0136977i −0.0115938 0.000433809i 0.0315937 0.999501i \(-0.489942\pi\)
−0.0431875 + 0.999067i \(0.513751\pi\)
\(998\) −4.63974 + 17.3157i −0.146868 + 0.548120i
\(999\) −10.0647 + 17.4325i −0.318432 + 0.551540i
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 490.2.w.a.103.6 672
5.2 odd 4 inner 490.2.w.a.397.9 yes 672
49.10 odd 42 inner 490.2.w.a.353.9 yes 672
245.157 even 84 inner 490.2.w.a.157.6 yes 672
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
490.2.w.a.103.6 672 1.1 even 1 trivial
490.2.w.a.157.6 yes 672 245.157 even 84 inner
490.2.w.a.353.9 yes 672 49.10 odd 42 inner
490.2.w.a.397.9 yes 672 5.2 odd 4 inner