Properties

Label 46.2.c.a.41.1
Level $46$
Weight $2$
Character 46.41
Analytic conductor $0.367$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [46,2,Mod(3,46)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(46, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("46.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 46 = 2 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 46.c (of order \(11\), degree \(10\), 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: \(0.367311849298\)
Analytic rank: \(0\)
Dimension: \(10\)
Coefficient field: \(\Q(\zeta_{22})\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 41.1
Root \(0.959493 + 0.281733i\) of defining polynomial
Character \(\chi\) \(=\) 46.41
Dual form 46.2.c.a.9.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.712591 - 0.822373i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.174863 - 1.21620i) q^{5} +(-0.915415 + 0.588302i) q^{6} +(0.260554 + 0.570534i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.258432 + 1.79743i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.712591 - 0.822373i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.174863 - 1.21620i) q^{5} +(-0.915415 + 0.588302i) q^{6} +(0.260554 + 0.570534i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.258432 + 1.79743i) q^{9} +(-0.510424 + 1.11767i) q^{10} +(-5.65177 + 1.65951i) q^{11} +(1.04408 - 0.306569i) q^{12} +(-0.977031 + 2.13940i) q^{13} +(-0.0892619 - 0.620830i) q^{14} +(-0.875565 - 1.01046i) q^{15} +(0.415415 + 0.909632i) q^{16} +(4.49223 - 2.88698i) q^{17} +(0.258432 - 1.79743i) q^{18} +(-0.227916 - 0.146473i) q^{19} +(0.804632 - 0.928595i) q^{20} +(0.654861 + 0.192284i) q^{21} +5.89037 q^{22} +(-2.50079 - 4.09219i) q^{23} -1.08816 q^{24} +(3.34890 + 0.983325i) q^{25} +(1.54019 - 1.77748i) q^{26} +(4.40856 + 2.83321i) q^{27} +(-0.0892619 + 0.620830i) q^{28} +(-1.66810 + 1.07202i) q^{29} +(0.555420 + 1.21620i) q^{30} +(-4.32439 - 4.99061i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(-2.66266 + 5.83041i) q^{33} +(-5.12362 + 1.50443i) q^{34} +(0.739446 - 0.217121i) q^{35} +(-0.754359 + 1.65182i) q^{36} +(-1.43317 - 9.96790i) q^{37} +(0.177418 + 0.204751i) q^{38} +(1.06316 + 2.32800i) q^{39} +(-1.03365 + 0.664289i) q^{40} +(-1.53880 + 10.7026i) q^{41} +(-0.574161 - 0.368991i) q^{42} +(-3.01056 + 3.47437i) q^{43} +(-5.65177 - 1.65951i) q^{44} +2.23123 q^{45} +(1.24659 + 4.63098i) q^{46} +6.97259 q^{47} +(1.04408 + 0.306569i) q^{48} +(4.32640 - 4.99294i) q^{49} +(-2.93621 - 1.88699i) q^{50} +(0.826944 - 5.75152i) q^{51} +(-1.97858 + 1.27155i) q^{52} +(-1.09543 - 2.39865i) q^{53} +(-3.43178 - 3.96048i) q^{54} +(1.03001 + 7.16387i) q^{55} +(0.260554 - 0.570534i) q^{56} +(-0.282866 + 0.0830570i) q^{57} +(1.90255 - 0.558640i) q^{58} +(0.685131 - 1.50023i) q^{59} +(-0.190279 - 1.32342i) q^{60} +(-5.98206 - 6.90366i) q^{61} +(2.74320 + 6.00678i) q^{62} +(-0.958162 + 0.615773i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(2.43109 + 1.56237i) q^{65} +(4.19742 - 4.84408i) q^{66} +(5.94311 + 1.74505i) q^{67} +5.33992 q^{68} +(-5.14735 - 0.859474i) q^{69} -0.770663 q^{70} +(8.69524 + 2.55315i) q^{71} +(1.18917 - 1.37238i) q^{72} +(-4.99580 - 3.21061i) q^{73} +(-1.43317 + 9.96790i) q^{74} +(3.19505 - 2.05334i) q^{75} +(-0.112546 - 0.246442i) q^{76} +(-2.41940 - 2.79213i) q^{77} +(-0.364223 - 2.53323i) q^{78} +(-2.49546 + 5.46429i) q^{79} +(1.17894 - 0.346167i) q^{80} +(0.244379 - 0.0717563i) q^{81} +(4.49173 - 9.83551i) q^{82} +(0.277948 + 1.93317i) q^{83} +(0.446947 + 0.515804i) q^{84} +(-2.72562 - 5.96828i) q^{85} +(3.86745 - 2.48546i) q^{86} +(-0.307069 + 2.13571i) q^{87} +(4.95529 + 3.18457i) q^{88} +(-3.00611 + 3.46923i) q^{89} +(-2.14085 - 0.628610i) q^{90} -1.47517 q^{91} +(0.108607 - 4.79460i) q^{92} -7.18567 q^{93} +(-6.69015 - 1.96441i) q^{94} +(-0.217995 + 0.251579i) q^{95} +(-0.915415 - 0.588302i) q^{96} +(-1.44938 + 10.0807i) q^{97} +(-5.55783 + 3.57180i) q^{98} +(-4.44345 - 9.72980i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q - q^{2} - 4 q^{3} - q^{4} - 6 q^{5} - 4 q^{6} + 3 q^{7} - q^{8} + 9 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q - q^{2} - 4 q^{3} - q^{4} - 6 q^{5} - 4 q^{6} + 3 q^{7} - q^{8} + 9 q^{9} - 6 q^{10} - 12 q^{11} + 7 q^{12} - 14 q^{13} + 3 q^{14} - 13 q^{15} - q^{16} + 15 q^{17} + 9 q^{18} + 2 q^{19} + 5 q^{20} + q^{21} + 10 q^{22} - q^{23} - 4 q^{24} + 13 q^{25} - 3 q^{26} + 26 q^{27} + 3 q^{28} - 8 q^{29} + 20 q^{30} - 21 q^{31} - q^{32} - 15 q^{33} - 7 q^{34} + 7 q^{35} - 13 q^{36} + 28 q^{37} - 9 q^{38} - 12 q^{39} - 6 q^{40} - 31 q^{41} - 10 q^{42} + 11 q^{43} - 12 q^{44} + 10 q^{45} - 12 q^{46} + 18 q^{47} + 7 q^{48} - 24 q^{49} + 2 q^{50} - 17 q^{51} + 8 q^{52} - 21 q^{53} - 29 q^{54} + 5 q^{55} + 3 q^{56} + 19 q^{57} - 8 q^{58} - 5 q^{59} - 13 q^{60} + 37 q^{61} + q^{62} + 17 q^{63} - q^{64} + 37 q^{65} + 29 q^{66} - 13 q^{67} + 26 q^{68} - 15 q^{69} + 18 q^{70} + 49 q^{71} + 20 q^{72} - 8 q^{73} + 28 q^{74} + 8 q^{75} - 20 q^{76} - 8 q^{77} + 10 q^{78} + 8 q^{79} + 5 q^{80} - 11 q^{81} + 2 q^{82} - 7 q^{83} + q^{84} - 42 q^{85} + 22 q^{86} - 21 q^{87} - q^{88} - 13 q^{89} - 45 q^{90} - 24 q^{91} - 23 q^{92} - 40 q^{93} - 37 q^{94} - 10 q^{95} - 4 q^{96} - 32 q^{97} - 24 q^{98} + 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/46\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{6}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) 0.712591 0.822373i 0.411414 0.474797i −0.511788 0.859112i \(-0.671017\pi\)
0.923202 + 0.384314i \(0.125562\pi\)
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) 0.174863 1.21620i 0.0782012 0.543902i −0.912629 0.408789i \(-0.865951\pi\)
0.990830 0.135113i \(-0.0431397\pi\)
\(6\) −0.915415 + 0.588302i −0.373717 + 0.240173i
\(7\) 0.260554 + 0.570534i 0.0984803 + 0.215642i 0.952459 0.304666i \(-0.0985447\pi\)
−0.853979 + 0.520307i \(0.825817\pi\)
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) 0.258432 + 1.79743i 0.0861440 + 0.599144i
\(10\) −0.510424 + 1.11767i −0.161410 + 0.353439i
\(11\) −5.65177 + 1.65951i −1.70407 + 0.500361i −0.981585 0.191025i \(-0.938819\pi\)
−0.722486 + 0.691385i \(0.757001\pi\)
\(12\) 1.04408 0.306569i 0.301399 0.0884988i
\(13\) −0.977031 + 2.13940i −0.270980 + 0.593362i −0.995380 0.0960174i \(-0.969390\pi\)
0.724400 + 0.689380i \(0.242117\pi\)
\(14\) −0.0892619 0.620830i −0.0238563 0.165924i
\(15\) −0.875565 1.01046i −0.226070 0.260899i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) 4.49223 2.88698i 1.08953 0.700195i 0.132787 0.991145i \(-0.457607\pi\)
0.956739 + 0.290949i \(0.0939710\pi\)
\(18\) 0.258432 1.79743i 0.0609130 0.423659i
\(19\) −0.227916 0.146473i −0.0522876 0.0336032i 0.514236 0.857649i \(-0.328076\pi\)
−0.566523 + 0.824046i \(0.691712\pi\)
\(20\) 0.804632 0.928595i 0.179921 0.207640i
\(21\) 0.654861 + 0.192284i 0.142902 + 0.0419599i
\(22\) 5.89037 1.25583
\(23\) −2.50079 4.09219i −0.521451 0.853281i
\(24\) −1.08816 −0.222119
\(25\) 3.34890 + 0.983325i 0.669779 + 0.196665i
\(26\) 1.54019 1.77748i 0.302057 0.348592i
\(27\) 4.40856 + 2.83321i 0.848428 + 0.545252i
\(28\) −0.0892619 + 0.620830i −0.0168689 + 0.117326i
\(29\) −1.66810 + 1.07202i −0.309758 + 0.199070i −0.686279 0.727339i \(-0.740757\pi\)
0.376520 + 0.926408i \(0.377121\pi\)
\(30\) 0.555420 + 1.21620i 0.101405 + 0.222047i
\(31\) −4.32439 4.99061i −0.776683 0.896340i 0.220182 0.975459i \(-0.429335\pi\)
−0.996865 + 0.0791185i \(0.974789\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) −2.66266 + 5.83041i −0.463510 + 1.01494i
\(34\) −5.12362 + 1.50443i −0.878693 + 0.258008i
\(35\) 0.739446 0.217121i 0.124989 0.0367001i
\(36\) −0.754359 + 1.65182i −0.125727 + 0.275303i
\(37\) −1.43317 9.96790i −0.235611 1.63871i −0.673145 0.739510i \(-0.735057\pi\)
0.437534 0.899202i \(-0.355852\pi\)
\(38\) 0.177418 + 0.204751i 0.0287810 + 0.0332150i
\(39\) 1.06316 + 2.32800i 0.170242 + 0.372778i
\(40\) −1.03365 + 0.664289i −0.163435 + 0.105033i
\(41\) −1.53880 + 10.7026i −0.240320 + 1.67146i 0.410219 + 0.911987i \(0.365452\pi\)
−0.650539 + 0.759473i \(0.725457\pi\)
\(42\) −0.574161 0.368991i −0.0885950 0.0569366i
\(43\) −3.01056 + 3.47437i −0.459106 + 0.529836i −0.937349 0.348391i \(-0.886728\pi\)
0.478244 + 0.878227i \(0.341274\pi\)
\(44\) −5.65177 1.65951i −0.852036 0.250180i
\(45\) 2.23123 0.332612
\(46\) 1.24659 + 4.63098i 0.183799 + 0.682801i
\(47\) 6.97259 1.01706 0.508528 0.861045i \(-0.330190\pi\)
0.508528 + 0.861045i \(0.330190\pi\)
\(48\) 1.04408 + 0.306569i 0.150700 + 0.0442494i
\(49\) 4.32640 4.99294i 0.618058 0.713277i
\(50\) −2.93621 1.88699i −0.415243 0.266860i
\(51\) 0.826944 5.75152i 0.115795 0.805374i
\(52\) −1.97858 + 1.27155i −0.274379 + 0.176333i
\(53\) −1.09543 2.39865i −0.150468 0.329480i 0.819356 0.573285i \(-0.194331\pi\)
−0.969824 + 0.243806i \(0.921604\pi\)
\(54\) −3.43178 3.96048i −0.467006 0.538953i
\(55\) 1.03001 + 7.16387i 0.138886 + 0.965976i
\(56\) 0.260554 0.570534i 0.0348180 0.0762409i
\(57\) −0.282866 + 0.0830570i −0.0374666 + 0.0110012i
\(58\) 1.90255 0.558640i 0.249818 0.0733531i
\(59\) 0.685131 1.50023i 0.0891965 0.195313i −0.859776 0.510671i \(-0.829397\pi\)
0.948973 + 0.315358i \(0.102124\pi\)
\(60\) −0.190279 1.32342i −0.0245649 0.170852i
\(61\) −5.98206 6.90366i −0.765924 0.883923i 0.230086 0.973170i \(-0.426099\pi\)
−0.996010 + 0.0892472i \(0.971554\pi\)
\(62\) 2.74320 + 6.00678i 0.348387 + 0.762862i
\(63\) −0.958162 + 0.615773i −0.120717 + 0.0775801i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) 2.43109 + 1.56237i 0.301540 + 0.193788i
\(66\) 4.19742 4.84408i 0.516667 0.596265i
\(67\) 5.94311 + 1.74505i 0.726066 + 0.213192i 0.623821 0.781567i \(-0.285579\pi\)
0.102245 + 0.994759i \(0.467398\pi\)
\(68\) 5.33992 0.647561
\(69\) −5.14735 0.859474i −0.619668 0.103469i
\(70\) −0.770663 −0.0921118
\(71\) 8.69524 + 2.55315i 1.03194 + 0.303003i 0.753497 0.657451i \(-0.228365\pi\)
0.278438 + 0.960454i \(0.410183\pi\)
\(72\) 1.18917 1.37238i 0.140145 0.161736i
\(73\) −4.99580 3.21061i −0.584714 0.375773i 0.214586 0.976705i \(-0.431160\pi\)
−0.799300 + 0.600932i \(0.794796\pi\)
\(74\) −1.43317 + 9.96790i −0.166602 + 1.15874i
\(75\) 3.19505 2.05334i 0.368933 0.237099i
\(76\) −0.112546 0.246442i −0.0129099 0.0282688i
\(77\) −2.41940 2.79213i −0.275716 0.318193i
\(78\) −0.364223 2.53323i −0.0412401 0.286831i
\(79\) −2.49546 + 5.46429i −0.280761 + 0.614780i −0.996501 0.0835867i \(-0.973362\pi\)
0.715740 + 0.698367i \(0.246090\pi\)
\(80\) 1.17894 0.346167i 0.131809 0.0387026i
\(81\) 0.244379 0.0717563i 0.0271533 0.00797292i
\(82\) 4.49173 9.83551i 0.496028 1.08615i
\(83\) 0.277948 + 1.93317i 0.0305087 + 0.212193i 0.999373 0.0353985i \(-0.0112701\pi\)
−0.968865 + 0.247591i \(0.920361\pi\)
\(84\) 0.446947 + 0.515804i 0.0487659 + 0.0562789i
\(85\) −2.72562 5.96828i −0.295635 0.647351i
\(86\) 3.86745 2.48546i 0.417038 0.268014i
\(87\) −0.307069 + 2.13571i −0.0329213 + 0.228973i
\(88\) 4.95529 + 3.18457i 0.528236 + 0.339477i
\(89\) −3.00611 + 3.46923i −0.318647 + 0.367738i −0.892365 0.451315i \(-0.850955\pi\)
0.573718 + 0.819053i \(0.305501\pi\)
\(90\) −2.14085 0.628610i −0.225665 0.0662613i
\(91\) −1.47517 −0.154640
\(92\) 0.108607 4.79460i 0.0113231 0.499872i
\(93\) −7.18567 −0.745119
\(94\) −6.69015 1.96441i −0.690036 0.202613i
\(95\) −0.217995 + 0.251579i −0.0223658 + 0.0258115i
\(96\) −0.915415 0.588302i −0.0934292 0.0600433i
\(97\) −1.44938 + 10.0807i −0.147163 + 1.02354i 0.773672 + 0.633586i \(0.218418\pi\)
−0.920835 + 0.389953i \(0.872491\pi\)
\(98\) −5.55783 + 3.57180i −0.561425 + 0.360806i
\(99\) −4.44345 9.72980i −0.446584 0.977882i
\(100\) 2.28565 + 2.63778i 0.228565 + 0.263778i
\(101\) 2.02588 + 14.0903i 0.201583 + 1.40204i 0.799589 + 0.600548i \(0.205051\pi\)
−0.598006 + 0.801492i \(0.704040\pi\)
\(102\) −2.41384 + 5.28557i −0.239006 + 0.523349i
\(103\) 0.723186 0.212347i 0.0712576 0.0209231i −0.245909 0.969293i \(-0.579087\pi\)
0.317167 + 0.948370i \(0.397268\pi\)
\(104\) 2.25667 0.662618i 0.221285 0.0649750i
\(105\) 0.348368 0.762819i 0.0339972 0.0744435i
\(106\) 0.375276 + 2.61010i 0.0364500 + 0.253516i
\(107\) −0.388356 0.448187i −0.0375438 0.0433279i 0.736667 0.676256i \(-0.236398\pi\)
−0.774211 + 0.632928i \(0.781853\pi\)
\(108\) 2.17697 + 4.76690i 0.209479 + 0.458695i
\(109\) −5.77288 + 3.71001i −0.552942 + 0.355354i −0.787082 0.616849i \(-0.788409\pi\)
0.234140 + 0.972203i \(0.424773\pi\)
\(110\) 1.03001 7.16387i 0.0982075 0.683048i
\(111\) −9.21860 5.92443i −0.874990 0.562322i
\(112\) −0.410738 + 0.474017i −0.0388111 + 0.0447904i
\(113\) 1.19580 + 0.351119i 0.112491 + 0.0330305i 0.337494 0.941328i \(-0.390421\pi\)
−0.225002 + 0.974358i \(0.572239\pi\)
\(114\) 0.294808 0.0276113
\(115\) −5.41423 + 2.32589i −0.504879 + 0.216890i
\(116\) −1.98287 −0.184105
\(117\) −4.09792 1.20326i −0.378853 0.111241i
\(118\) −1.08004 + 1.24643i −0.0994259 + 0.114744i
\(119\) 2.81759 + 1.81076i 0.258288 + 0.165992i
\(120\) −0.190279 + 1.32342i −0.0173700 + 0.120811i
\(121\) 19.9347 12.8113i 1.81225 1.16466i
\(122\) 3.79475 + 8.30935i 0.343561 + 0.752294i
\(123\) 7.70497 + 8.89201i 0.694734 + 0.801766i
\(124\) −0.939780 6.53631i −0.0843947 0.586978i
\(125\) 4.33364 9.48934i 0.387612 0.848753i
\(126\) 1.09283 0.320885i 0.0973573 0.0285867i
\(127\) 6.89460 2.02444i 0.611796 0.179640i 0.0388671 0.999244i \(-0.487625\pi\)
0.572929 + 0.819605i \(0.305807\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) 0.711933 + 4.95160i 0.0626822 + 0.435964i
\(130\) −1.89245 2.18400i −0.165978 0.191549i
\(131\) −0.273443 0.598756i −0.0238908 0.0523136i 0.897310 0.441400i \(-0.145518\pi\)
−0.921201 + 0.389086i \(0.872791\pi\)
\(132\) −5.39213 + 3.46531i −0.469325 + 0.301617i
\(133\) 0.0241832 0.168198i 0.00209695 0.0145846i
\(134\) −5.21073 3.34873i −0.450138 0.289286i
\(135\) 4.21665 4.86627i 0.362911 0.418822i
\(136\) −5.12362 1.50443i −0.439347 0.129004i
\(137\) −12.5241 −1.07001 −0.535003 0.844850i \(-0.679689\pi\)
−0.535003 + 0.844850i \(0.679689\pi\)
\(138\) 4.69671 + 2.27484i 0.399810 + 0.193647i
\(139\) 17.0602 1.44703 0.723515 0.690309i \(-0.242525\pi\)
0.723515 + 0.690309i \(0.242525\pi\)
\(140\) 0.739446 + 0.217121i 0.0624946 + 0.0183501i
\(141\) 4.96860 5.73407i 0.418432 0.482896i
\(142\) −7.62372 4.89946i −0.639768 0.411154i
\(143\) 1.97160 13.7128i 0.164873 1.14672i
\(144\) −1.52765 + 0.981759i −0.127304 + 0.0818132i
\(145\) 1.01211 + 2.21620i 0.0840508 + 0.184046i
\(146\) 3.88890 + 4.48803i 0.321848 + 0.371432i
\(147\) −1.02310 7.11584i −0.0843841 0.586905i
\(148\) 4.18340 9.16036i 0.343873 0.752977i
\(149\) 17.6680 5.18781i 1.44742 0.425002i 0.538734 0.842476i \(-0.318903\pi\)
0.908689 + 0.417474i \(0.137085\pi\)
\(150\) −3.64412 + 1.07001i −0.297541 + 0.0873660i
\(151\) −4.77740 + 10.4611i −0.388780 + 0.851309i 0.609506 + 0.792781i \(0.291368\pi\)
−0.998286 + 0.0585274i \(0.981360\pi\)
\(152\) 0.0385566 + 0.268167i 0.00312735 + 0.0217512i
\(153\) 6.35009 + 7.32839i 0.513374 + 0.592465i
\(154\) 1.53476 + 3.36066i 0.123675 + 0.270809i
\(155\) −6.82576 + 4.38665i −0.548259 + 0.352344i
\(156\) −0.364223 + 2.53323i −0.0291612 + 0.202820i
\(157\) 2.71568 + 1.74526i 0.216735 + 0.139287i 0.644504 0.764601i \(-0.277064\pi\)
−0.427769 + 0.903888i \(0.640700\pi\)
\(158\) 3.93384 4.53989i 0.312960 0.361175i
\(159\) −2.75317 0.808405i −0.218341 0.0641107i
\(160\) −1.22871 −0.0971379
\(161\) 1.68314 2.49303i 0.132650 0.196478i
\(162\) −0.254696 −0.0200108
\(163\) −10.6155 3.11700i −0.831473 0.244143i −0.161824 0.986820i \(-0.551738\pi\)
−0.669650 + 0.742677i \(0.733556\pi\)
\(164\) −7.08076 + 8.17164i −0.552915 + 0.638098i
\(165\) 6.62535 + 4.25785i 0.515783 + 0.331474i
\(166\) 0.277948 1.93317i 0.0215729 0.150043i
\(167\) −18.4501 + 11.8572i −1.42771 + 0.917536i −0.427807 + 0.903870i \(0.640714\pi\)
−0.999907 + 0.0136652i \(0.995650\pi\)
\(168\) −0.283524 0.620830i −0.0218743 0.0478981i
\(169\) 4.89075 + 5.64423i 0.376212 + 0.434171i
\(170\) 0.933756 + 6.49442i 0.0716158 + 0.498099i
\(171\) 0.204374 0.447517i 0.0156289 0.0342225i
\(172\) −4.41103 + 1.29519i −0.336338 + 0.0987577i
\(173\) −10.6459 + 3.12591i −0.809391 + 0.237659i −0.660142 0.751141i \(-0.729504\pi\)
−0.149249 + 0.988800i \(0.547686\pi\)
\(174\) 0.896331 1.96269i 0.0679507 0.148791i
\(175\) 0.311549 + 2.16687i 0.0235509 + 0.163800i
\(176\) −3.85737 4.45164i −0.290760 0.335555i
\(177\) −0.745530 1.63248i −0.0560374 0.122705i
\(178\) 3.86173 2.48178i 0.289449 0.186018i
\(179\) 2.49587 17.3592i 0.186550 1.29749i −0.654307 0.756229i \(-0.727039\pi\)
0.840857 0.541257i \(-0.182051\pi\)
\(180\) 1.87703 + 1.20629i 0.139906 + 0.0899119i
\(181\) −13.3631 + 15.4218i −0.993269 + 1.14629i −0.00402916 + 0.999992i \(0.501283\pi\)
−0.989240 + 0.146302i \(0.953263\pi\)
\(182\) 1.41542 + 0.415603i 0.104918 + 0.0308066i
\(183\) −9.94014 −0.734797
\(184\) −1.45500 + 4.56979i −0.107264 + 0.336889i
\(185\) −12.3736 −0.909723
\(186\) 6.89460 + 2.02444i 0.505536 + 0.148439i
\(187\) −20.5981 + 23.7714i −1.50628 + 1.73834i
\(188\) 5.86572 + 3.76967i 0.427801 + 0.274931i
\(189\) −0.467774 + 3.25344i −0.0340256 + 0.236653i
\(190\) 0.280042 0.179972i 0.0203164 0.0130566i
\(191\) −3.93085 8.60736i −0.284426 0.622807i 0.712455 0.701718i \(-0.247583\pi\)
−0.996882 + 0.0789105i \(0.974856\pi\)
\(192\) 0.712591 + 0.822373i 0.0514268 + 0.0593497i
\(193\) −3.63769 25.3007i −0.261847 1.82118i −0.518955 0.854801i \(-0.673679\pi\)
0.257108 0.966383i \(-0.417230\pi\)
\(194\) 4.23073 9.26401i 0.303749 0.665117i
\(195\) 3.01722 0.885937i 0.216068 0.0634432i
\(196\) 6.33899 1.86129i 0.452785 0.132950i
\(197\) 2.18904 4.79334i 0.155963 0.341511i −0.815480 0.578786i \(-0.803527\pi\)
0.971443 + 0.237274i \(0.0762540\pi\)
\(198\) 1.52226 + 10.5875i 0.108182 + 0.752424i
\(199\) 16.3820 + 18.9058i 1.16129 + 1.34020i 0.930108 + 0.367285i \(0.119713\pi\)
0.231178 + 0.972911i \(0.425742\pi\)
\(200\) −1.44991 3.17487i −0.102524 0.224497i
\(201\) 5.67009 3.64394i 0.399937 0.257024i
\(202\) 2.02588 14.0903i 0.142541 0.991392i
\(203\) −1.04626 0.672388i −0.0734328 0.0471924i
\(204\) 3.80518 4.39141i 0.266416 0.307460i
\(205\) 12.7474 + 3.74297i 0.890317 + 0.261421i
\(206\) −0.753717 −0.0525139
\(207\) 6.70916 5.55256i 0.466319 0.385929i
\(208\) −2.35194 −0.163078
\(209\) 1.53120 + 0.449602i 0.105915 + 0.0310996i
\(210\) −0.549167 + 0.633773i −0.0378961 + 0.0437345i
\(211\) −7.45882 4.79349i −0.513487 0.329998i 0.258104 0.966117i \(-0.416902\pi\)
−0.771591 + 0.636119i \(0.780539\pi\)
\(212\) 0.375276 2.61010i 0.0257741 0.179263i
\(213\) 8.29579 5.33138i 0.568418 0.365300i
\(214\) 0.246356 + 0.539445i 0.0168406 + 0.0368757i
\(215\) 3.69909 + 4.26898i 0.252276 + 0.291142i
\(216\) −0.745796 5.18713i −0.0507450 0.352939i
\(217\) 1.72058 3.76754i 0.116800 0.255757i
\(218\) 6.58427 1.93332i 0.445943 0.130941i
\(219\) −6.20028 + 1.82057i −0.418976 + 0.123022i
\(220\) −3.00658 + 6.58350i −0.202704 + 0.443859i
\(221\) 1.78736 + 12.4313i 0.120231 + 0.836222i
\(222\) 7.17607 + 8.28163i 0.481626 + 0.555827i
\(223\) −7.05499 15.4483i −0.472437 1.03449i −0.984474 0.175530i \(-0.943836\pi\)
0.512037 0.858963i \(-0.328891\pi\)
\(224\) 0.527646 0.339098i 0.0352549 0.0226569i
\(225\) −0.901999 + 6.27354i −0.0601333 + 0.418236i
\(226\) −1.04844 0.673792i −0.0697412 0.0448199i
\(227\) 11.7844 13.5999i 0.782155 0.902655i −0.215108 0.976590i \(-0.569010\pi\)
0.997263 + 0.0739349i \(0.0235557\pi\)
\(228\) −0.282866 0.0830570i −0.0187333 0.00550059i
\(229\) 7.49653 0.495385 0.247692 0.968839i \(-0.420328\pi\)
0.247692 + 0.968839i \(0.420328\pi\)
\(230\) 5.85019 0.706312i 0.385750 0.0465728i
\(231\) −4.02022 −0.264511
\(232\) 1.90255 + 0.558640i 0.124909 + 0.0366765i
\(233\) −3.61684 + 4.17406i −0.236947 + 0.273452i −0.861753 0.507329i \(-0.830633\pi\)
0.624805 + 0.780781i \(0.285178\pi\)
\(234\) 3.59293 + 2.30904i 0.234877 + 0.150946i
\(235\) 1.21925 8.48007i 0.0795351 0.553179i
\(236\) 1.38745 0.891662i 0.0903156 0.0580423i
\(237\) 2.71545 + 5.94600i 0.176387 + 0.386234i
\(238\) −2.19331 2.53121i −0.142171 0.164074i
\(239\) −0.742743 5.16589i −0.0480440 0.334153i −0.999641 0.0268040i \(-0.991467\pi\)
0.951597 0.307350i \(-0.0994421\pi\)
\(240\) 0.555420 1.21620i 0.0358522 0.0785054i
\(241\) 1.49095 0.437783i 0.0960407 0.0282001i −0.233359 0.972391i \(-0.574972\pi\)
0.329400 + 0.944191i \(0.393154\pi\)
\(242\) −22.7366 + 6.67606i −1.46156 + 0.429153i
\(243\) −6.41578 + 14.0486i −0.411572 + 0.901217i
\(244\) −1.30003 9.04187i −0.0832256 0.578847i
\(245\) −5.31589 6.13486i −0.339619 0.391942i
\(246\) −4.88770 10.7026i −0.311628 0.682371i
\(247\) 0.536045 0.344495i 0.0341077 0.0219197i
\(248\) −0.939780 + 6.53631i −0.0596761 + 0.415056i
\(249\) 1.78785 + 1.14898i 0.113300 + 0.0728137i
\(250\) −6.83155 + 7.88403i −0.432065 + 0.498630i
\(251\) 8.56499 + 2.51491i 0.540617 + 0.158740i 0.540630 0.841260i \(-0.318186\pi\)
−1.28787e−5 1.00000i \(0.500004\pi\)
\(252\) −1.13897 −0.0717483
\(253\) 20.9249 + 18.9780i 1.31554 + 1.19314i
\(254\) −7.18567 −0.450869
\(255\) −6.85041 2.01146i −0.428989 0.125963i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −3.06431 1.96932i −0.191147 0.122843i 0.441567 0.897228i \(-0.354423\pi\)
−0.632714 + 0.774386i \(0.718059\pi\)
\(258\) 0.711933 4.95160i 0.0443230 0.308273i
\(259\) 5.31361 3.41485i 0.330172 0.212188i
\(260\) 1.20048 + 2.62869i 0.0744509 + 0.163025i
\(261\) −2.35798 2.72125i −0.145955 0.168441i
\(262\) 0.0936773 + 0.651540i 0.00578740 + 0.0402523i
\(263\) 6.70351 14.6786i 0.413356 0.905124i −0.582384 0.812914i \(-0.697880\pi\)
0.995740 0.0922095i \(-0.0293929\pi\)
\(264\) 6.15000 1.80580i 0.378507 0.111140i
\(265\) −3.10879 + 0.912822i −0.190971 + 0.0560742i
\(266\) −0.0705905 + 0.154572i −0.00432818 + 0.00947740i
\(267\) 0.710880 + 4.94428i 0.0435052 + 0.302585i
\(268\) 4.05621 + 4.68112i 0.247773 + 0.285945i
\(269\) −1.86684 4.08782i −0.113823 0.249239i 0.844143 0.536117i \(-0.180110\pi\)
−0.957967 + 0.286879i \(0.907382\pi\)
\(270\) −5.41683 + 3.48119i −0.329658 + 0.211858i
\(271\) 0.498456 3.46684i 0.0302791 0.210595i −0.969065 0.246805i \(-0.920619\pi\)
0.999344 + 0.0362095i \(0.0115284\pi\)
\(272\) 4.49223 + 2.88698i 0.272381 + 0.175049i
\(273\) −1.05119 + 1.21314i −0.0636210 + 0.0734226i
\(274\) 12.0168 + 3.52845i 0.725960 + 0.213161i
\(275\) −20.5590 −1.23976
\(276\) −3.86556 3.50590i −0.232679 0.211031i
\(277\) −12.0692 −0.725166 −0.362583 0.931951i \(-0.618105\pi\)
−0.362583 + 0.931951i \(0.618105\pi\)
\(278\) −16.3692 4.80642i −0.981758 0.288270i
\(279\) 7.85273 9.06254i 0.470131 0.542560i
\(280\) −0.648323 0.416652i −0.0387447 0.0248997i
\(281\) 0.891748 6.20224i 0.0531972 0.369995i −0.945781 0.324804i \(-0.894702\pi\)
0.998978 0.0451902i \(-0.0143894\pi\)
\(282\) −6.38281 + 4.10199i −0.380091 + 0.244270i
\(283\) 13.1398 + 28.7722i 0.781080 + 1.71033i 0.700581 + 0.713573i \(0.252924\pi\)
0.0804995 + 0.996755i \(0.474348\pi\)
\(284\) 5.93456 + 6.84885i 0.352152 + 0.406405i
\(285\) 0.0515511 + 0.358546i 0.00305362 + 0.0212384i
\(286\) −5.75507 + 12.6018i −0.340304 + 0.745163i
\(287\) −6.50712 + 1.91066i −0.384103 + 0.112783i
\(288\) 1.74236 0.511603i 0.102670 0.0301465i
\(289\) 4.78341 10.4742i 0.281377 0.616130i
\(290\) −0.346732 2.41157i −0.0203608 0.141613i
\(291\) 7.25727 + 8.37534i 0.425429 + 0.490971i
\(292\) −2.46695 5.40187i −0.144367 0.316120i
\(293\) 5.70182 3.66434i 0.333104 0.214073i −0.363387 0.931638i \(-0.618380\pi\)
0.696491 + 0.717565i \(0.254744\pi\)
\(294\) −1.02310 + 7.11584i −0.0596686 + 0.415004i
\(295\) −1.70477 1.09559i −0.0992558 0.0637878i
\(296\) −6.59471 + 7.61070i −0.383310 + 0.442363i
\(297\) −29.6179 8.69660i −1.71860 0.504628i
\(298\) −18.4139 −1.06669
\(299\) 11.1982 1.35199i 0.647608 0.0781877i
\(300\) 3.79797 0.219276
\(301\) −2.76666 0.812365i −0.159468 0.0468239i
\(302\) 7.53111 8.69136i 0.433366 0.500132i
\(303\) 13.0311 + 8.37460i 0.748619 + 0.481108i
\(304\) 0.0385566 0.268167i 0.00221137 0.0153804i
\(305\) −9.44228 + 6.06819i −0.540663 + 0.347463i
\(306\) −4.02822 8.82057i −0.230278 0.504238i
\(307\) 3.97728 + 4.59002i 0.226995 + 0.261966i 0.857810 0.513967i \(-0.171825\pi\)
−0.630815 + 0.775933i \(0.717279\pi\)
\(308\) −0.525785 3.65692i −0.0299594 0.208372i
\(309\) 0.340707 0.746045i 0.0193822 0.0424410i
\(310\) 7.78514 2.28592i 0.442166 0.129832i
\(311\) −9.81498 + 2.88194i −0.556556 + 0.163420i −0.547901 0.836543i \(-0.684573\pi\)
−0.00865482 + 0.999963i \(0.502755\pi\)
\(312\) 1.06316 2.32800i 0.0601897 0.131797i
\(313\) −0.572129 3.97924i −0.0323386 0.224920i 0.967243 0.253853i \(-0.0816981\pi\)
−0.999581 + 0.0289333i \(0.990789\pi\)
\(314\) −2.11398 2.43966i −0.119299 0.137678i
\(315\) 0.581357 + 1.27299i 0.0327557 + 0.0717251i
\(316\) −5.05353 + 3.24771i −0.284283 + 0.182698i
\(317\) −0.710583 + 4.94221i −0.0399103 + 0.277582i −0.999998 0.00211768i \(-0.999326\pi\)
0.960087 + 0.279700i \(0.0902350\pi\)
\(318\) 2.41390 + 1.55132i 0.135365 + 0.0869936i
\(319\) 7.64868 8.82705i 0.428244 0.494220i
\(320\) 1.17894 + 0.346167i 0.0659045 + 0.0193513i
\(321\) −0.645316 −0.0360180
\(322\) −2.31733 + 1.91784i −0.129140 + 0.106877i
\(323\) −1.44672 −0.0804974
\(324\) 0.244379 + 0.0717563i 0.0135766 + 0.00398646i
\(325\) −5.37570 + 6.20389i −0.298190 + 0.344130i
\(326\) 9.30738 + 5.98149i 0.515488 + 0.331284i
\(327\) −1.06269 + 7.39118i −0.0587670 + 0.408733i
\(328\) 9.09616 5.84575i 0.502251 0.322777i
\(329\) 1.81674 + 3.97810i 0.100160 + 0.219320i
\(330\) −5.15740 5.95196i −0.283906 0.327645i
\(331\) −0.698720 4.85970i −0.0384051 0.267113i 0.961567 0.274570i \(-0.0885355\pi\)
−0.999972 + 0.00745672i \(0.997626\pi\)
\(332\) −0.811325 + 1.77655i −0.0445273 + 0.0975011i
\(333\) 17.5463 5.15205i 0.961529 0.282330i
\(334\) 21.0433 6.17887i 1.15144 0.338093i
\(335\) 3.16157 6.92286i 0.172735 0.378237i
\(336\) 0.0971309 + 0.675560i 0.00529892 + 0.0368548i
\(337\) −19.4055 22.3951i −1.05708 1.21994i −0.974742 0.223334i \(-0.928306\pi\)
−0.0823405 0.996604i \(-0.526239\pi\)
\(338\) −3.10248 6.79348i −0.168753 0.369517i
\(339\) 1.14087 0.733190i 0.0619634 0.0398214i
\(340\) 0.933756 6.49442i 0.0506401 0.352209i
\(341\) 32.7224 + 21.0294i 1.77202 + 1.13881i
\(342\) −0.322176 + 0.371811i −0.0174213 + 0.0201052i
\(343\) 8.18856 + 2.40438i 0.442141 + 0.129824i
\(344\) 4.59725 0.247867
\(345\) −1.94538 + 6.10992i −0.104736 + 0.328947i
\(346\) 11.0953 0.596488
\(347\) 12.3371 + 3.62249i 0.662288 + 0.194465i 0.595566 0.803306i \(-0.296928\pi\)
0.0667221 + 0.997772i \(0.478746\pi\)
\(348\) −1.41298 + 1.63066i −0.0757436 + 0.0874127i
\(349\) −19.8005 12.7250i −1.05990 0.681156i −0.110070 0.993924i \(-0.535107\pi\)
−0.949830 + 0.312768i \(0.898744\pi\)
\(350\) 0.311549 2.16687i 0.0166530 0.115824i
\(351\) −10.3687 + 6.66354i −0.553439 + 0.355673i
\(352\) 2.44695 + 5.35807i 0.130423 + 0.285586i
\(353\) −5.44378 6.28246i −0.289743 0.334382i 0.592153 0.805826i \(-0.298278\pi\)
−0.881896 + 0.471444i \(0.843733\pi\)
\(354\) 0.255407 + 1.77640i 0.0135747 + 0.0944144i
\(355\) 4.62563 10.1287i 0.245503 0.537576i
\(356\) −4.40450 + 1.29328i −0.233438 + 0.0685437i
\(357\) 3.49691 1.02678i 0.185076 0.0543432i
\(358\) −7.28542 + 15.9528i −0.385046 + 0.843134i
\(359\) 2.75167 + 19.1383i 0.145228 + 1.01008i 0.923896 + 0.382645i \(0.124987\pi\)
−0.778668 + 0.627436i \(0.784104\pi\)
\(360\) −1.46115 1.68625i −0.0770091 0.0888732i
\(361\) −7.86239 17.2162i −0.413810 0.906118i
\(362\) 17.1666 11.0323i 0.902256 0.579845i
\(363\) 3.66965 25.5230i 0.192606 1.33961i
\(364\) −1.24099 0.797537i −0.0650456 0.0418023i
\(365\) −4.77832 + 5.51448i −0.250109 + 0.288641i
\(366\) 9.53750 + 2.80046i 0.498533 + 0.146383i
\(367\) 30.4419 1.58906 0.794528 0.607228i \(-0.207718\pi\)
0.794528 + 0.607228i \(0.207718\pi\)
\(368\) 2.68352 3.97476i 0.139888 0.207199i
\(369\) −19.6348 −1.02215
\(370\) 11.8724 + 3.48604i 0.617215 + 0.181231i
\(371\) 1.08309 1.24996i 0.0562314 0.0648945i
\(372\) −6.04497 3.88486i −0.313417 0.201421i
\(373\) −2.74614 + 19.0998i −0.142190 + 0.988951i 0.786367 + 0.617760i \(0.211960\pi\)
−0.928557 + 0.371191i \(0.878949\pi\)
\(374\) 26.4609 17.0054i 1.36826 0.879327i
\(375\) −4.71567 10.3259i −0.243516 0.533226i
\(376\) −4.56608 5.26953i −0.235477 0.271755i
\(377\) −0.663699 4.61613i −0.0341823 0.237743i
\(378\) 1.36543 2.98987i 0.0702300 0.153782i
\(379\) −31.0238 + 9.10940i −1.59358 + 0.467918i −0.953751 0.300596i \(-0.902814\pi\)
−0.639832 + 0.768515i \(0.720996\pi\)
\(380\) −0.319403 + 0.0937851i −0.0163850 + 0.00481107i
\(381\) 3.24818 7.11253i 0.166409 0.364386i
\(382\) 1.34665 + 9.36615i 0.0689006 + 0.479214i
\(383\) 4.70842 + 5.43380i 0.240589 + 0.277654i 0.863184 0.504890i \(-0.168467\pi\)
−0.622595 + 0.782544i \(0.713922\pi\)
\(384\) −0.452036 0.989821i −0.0230679 0.0505116i
\(385\) −3.81886 + 2.45423i −0.194627 + 0.125079i
\(386\) −3.63769 + 25.3007i −0.185154 + 1.28777i
\(387\) −7.02297 4.51339i −0.356998 0.229428i
\(388\) −6.66933 + 7.69682i −0.338584 + 0.390747i
\(389\) −25.2205 7.40541i −1.27873 0.375469i −0.429296 0.903164i \(-0.641238\pi\)
−0.849434 + 0.527695i \(0.823056\pi\)
\(390\) −3.14460 −0.159233
\(391\) −23.0482 11.1633i −1.16560 0.564554i
\(392\) −6.60660 −0.333684
\(393\) −0.687254 0.201796i −0.0346674 0.0101793i
\(394\) −3.45081 + 3.98245i −0.173849 + 0.200633i
\(395\) 6.20931 + 3.99048i 0.312424 + 0.200783i
\(396\) 1.52226 10.5875i 0.0764964 0.532044i
\(397\) −7.79986 + 5.01267i −0.391464 + 0.251579i −0.721536 0.692377i \(-0.756563\pi\)
0.330072 + 0.943956i \(0.392927\pi\)
\(398\) −10.3920 22.7553i −0.520904 1.14062i
\(399\) −0.121089 0.139744i −0.00606203 0.00699595i
\(400\) 0.496718 + 3.45475i 0.0248359 + 0.172738i
\(401\) −11.6450 + 25.4989i −0.581522 + 1.27336i 0.358910 + 0.933372i \(0.383149\pi\)
−0.940432 + 0.339983i \(0.889579\pi\)
\(402\) −6.46703 + 1.89889i −0.322546 + 0.0947080i
\(403\) 14.9020 4.37561i 0.742320 0.217965i
\(404\) −5.91352 + 12.9488i −0.294209 + 0.644227i
\(405\) −0.0445371 0.309762i −0.00221306 0.0153922i
\(406\) 0.814442 + 0.939916i 0.0404201 + 0.0466473i
\(407\) 24.6417 + 53.9579i 1.22145 + 2.67459i
\(408\) −4.88825 + 3.14148i −0.242004 + 0.155527i
\(409\) −0.00630601 + 0.0438593i −0.000311812 + 0.00216870i −0.989977 0.141230i \(-0.954894\pi\)
0.989665 + 0.143399i \(0.0458033\pi\)
\(410\) −11.1765 7.18271i −0.551969 0.354729i
\(411\) −8.92455 + 10.2995i −0.440216 + 0.508036i
\(412\) 0.723186 + 0.212347i 0.0356288 + 0.0104616i
\(413\) 1.03445 0.0509017
\(414\) −8.00173 + 3.43745i −0.393263 + 0.168942i
\(415\) 2.39972 0.117798
\(416\) 2.25667 + 0.662618i 0.110642 + 0.0324875i
\(417\) 12.1570 14.0299i 0.595329 0.687046i
\(418\) −1.34251 0.862779i −0.0656643 0.0421999i
\(419\) −1.75577 + 12.2117i −0.0857752 + 0.596579i 0.900918 + 0.433989i \(0.142894\pi\)
−0.986694 + 0.162591i \(0.948015\pi\)
\(420\) 0.705476 0.453382i 0.0344237 0.0221228i
\(421\) 1.15963 + 2.53923i 0.0565167 + 0.123754i 0.935783 0.352576i \(-0.114694\pi\)
−0.879267 + 0.476330i \(0.841967\pi\)
\(422\) 5.80620 + 6.70072i 0.282642 + 0.326186i
\(423\) 1.80194 + 12.5328i 0.0876133 + 0.609364i
\(424\) −1.09543 + 2.39865i −0.0531986 + 0.116489i
\(425\) 17.8829 5.25088i 0.867446 0.254705i
\(426\) −9.46178 + 2.77823i −0.458425 + 0.134606i
\(427\) 2.38012 5.21175i 0.115182 0.252214i
\(428\) −0.0843979 0.587000i −0.00407953 0.0283737i
\(429\) −9.87207 11.3930i −0.476628 0.550058i
\(430\) −2.34654 5.13821i −0.113160 0.247787i
\(431\) 2.94160 1.89045i 0.141692 0.0910597i −0.467874 0.883795i \(-0.654980\pi\)
0.609566 + 0.792735i \(0.291344\pi\)
\(432\) −0.745796 + 5.18713i −0.0358821 + 0.249566i
\(433\) −7.93237 5.09782i −0.381205 0.244986i 0.335979 0.941870i \(-0.390933\pi\)
−0.717184 + 0.696884i \(0.754569\pi\)
\(434\) −2.71232 + 3.13018i −0.130196 + 0.150254i
\(435\) 2.54376 + 0.746916i 0.121964 + 0.0358119i
\(436\) −6.86224 −0.328642
\(437\) −0.0294243 + 1.29898i −0.00140756 + 0.0621384i
\(438\) 6.46203 0.308768
\(439\) −21.6681 6.36232i −1.03416 0.303657i −0.279759 0.960070i \(-0.590255\pi\)
−0.754402 + 0.656413i \(0.772073\pi\)
\(440\) 4.73958 5.46977i 0.225951 0.260761i
\(441\) 10.0926 + 6.48609i 0.480598 + 0.308861i
\(442\) 1.78736 12.4313i 0.0850159 0.591298i
\(443\) −5.11530 + 3.28740i −0.243035 + 0.156189i −0.656488 0.754336i \(-0.727959\pi\)
0.413453 + 0.910525i \(0.364323\pi\)
\(444\) −4.55219 9.96790i −0.216037 0.473056i
\(445\) 3.69362 + 4.26267i 0.175095 + 0.202070i
\(446\) 2.41693 + 16.8101i 0.114445 + 0.795983i
\(447\) 8.32377 18.2265i 0.393701 0.862084i
\(448\) −0.601808 + 0.176707i −0.0284327 + 0.00834861i
\(449\) 11.5754 3.39884i 0.546276 0.160401i 0.00306173 0.999995i \(-0.499025\pi\)
0.543214 + 0.839594i \(0.317207\pi\)
\(450\) 2.63292 5.76530i 0.124117 0.271779i
\(451\) −9.06408 63.0421i −0.426811 2.96853i
\(452\) 0.816142 + 0.941878i 0.0383881 + 0.0443022i
\(453\) 5.19856 + 11.3833i 0.244250 + 0.534832i
\(454\) −15.1385 + 9.72895i −0.710487 + 0.456602i
\(455\) −0.257953 + 1.79410i −0.0120930 + 0.0841088i
\(456\) 0.248008 + 0.159385i 0.0116141 + 0.00746390i
\(457\) 13.2021 15.2360i 0.617566 0.712709i −0.357677 0.933845i \(-0.616431\pi\)
0.975243 + 0.221136i \(0.0709765\pi\)
\(458\) −7.19287 2.11202i −0.336101 0.0986881i
\(459\) 27.9837 1.30617
\(460\) −5.81221 0.970488i −0.270996 0.0452492i
\(461\) 34.1368 1.58991 0.794954 0.606670i \(-0.207495\pi\)
0.794954 + 0.606670i \(0.207495\pi\)
\(462\) 3.85737 + 1.13263i 0.179461 + 0.0526945i
\(463\) −7.64326 + 8.82079i −0.355212 + 0.409937i −0.905030 0.425348i \(-0.860152\pi\)
0.549818 + 0.835285i \(0.314697\pi\)
\(464\) −1.66810 1.07202i −0.0774396 0.0497674i
\(465\) −1.25651 + 8.73921i −0.0582692 + 0.405271i
\(466\) 4.64631 2.98600i 0.215236 0.138324i
\(467\) 1.97120 + 4.31632i 0.0912162 + 0.199736i 0.949741 0.313036i \(-0.101346\pi\)
−0.858525 + 0.512772i \(0.828619\pi\)
\(468\) −2.79686 3.22775i −0.129285 0.149203i
\(469\) 0.552889 + 3.84543i 0.0255300 + 0.177565i
\(470\) −3.55897 + 7.79307i −0.164163 + 0.359467i
\(471\) 3.37043 0.989647i 0.155301 0.0456005i
\(472\) −1.58246 + 0.464653i −0.0728387 + 0.0213874i
\(473\) 11.2492 24.6324i 0.517240 1.13260i
\(474\) −0.930270 6.47017i −0.0427287 0.297185i
\(475\) −0.619238 0.714638i −0.0284126 0.0327899i
\(476\) 1.39134 + 3.04661i 0.0637719 + 0.139641i
\(477\) 4.02832 2.58884i 0.184444 0.118535i
\(478\) −0.742743 + 5.16589i −0.0339723 + 0.236282i
\(479\) −25.0307 16.0862i −1.14368 0.734999i −0.175310 0.984513i \(-0.556093\pi\)
−0.968371 + 0.249514i \(0.919729\pi\)
\(480\) −0.875565 + 1.01046i −0.0399639 + 0.0461208i
\(481\) 22.7256 + 6.67283i 1.03620 + 0.304255i
\(482\) −1.55390 −0.0707780
\(483\) −0.850805 3.16068i −0.0387130 0.143816i
\(484\) 23.6964 1.07711
\(485\) 12.0067 + 3.52549i 0.545196 + 0.160084i
\(486\) 10.1138 11.6720i 0.458773 0.529452i
\(487\) −7.33075 4.71119i −0.332188 0.213484i 0.363905 0.931436i \(-0.381443\pi\)
−0.696093 + 0.717952i \(0.745080\pi\)
\(488\) −1.30003 + 9.04187i −0.0588494 + 0.409306i
\(489\) −10.1279 + 6.50879i −0.457998 + 0.294338i
\(490\) 3.37217 + 7.38401i 0.152339 + 0.333576i
\(491\) −9.86350 11.3831i −0.445134 0.513712i 0.488195 0.872735i \(-0.337655\pi\)
−0.933329 + 0.359023i \(0.883110\pi\)
\(492\) 1.67445 + 11.6461i 0.0754901 + 0.525045i
\(493\) −4.39858 + 9.63154i −0.198102 + 0.433783i
\(494\) −0.611387 + 0.179519i −0.0275076 + 0.00807696i
\(495\) −12.6104 + 3.70275i −0.566795 + 0.166426i
\(496\) 2.74320 6.00678i 0.123173 0.269712i
\(497\) 0.808921 + 5.62617i 0.0362851 + 0.252368i
\(498\) −1.39172 1.60613i −0.0623646 0.0719726i
\(499\) 13.1268 + 28.7438i 0.587638 + 1.28675i 0.936859 + 0.349707i \(0.113719\pi\)
−0.349221 + 0.937040i \(0.613554\pi\)
\(500\) 8.77601 5.64000i 0.392475 0.252229i
\(501\) −3.39636 + 23.6222i −0.151738 + 1.05536i
\(502\) −7.50951 4.82607i −0.335166 0.215398i
\(503\) 21.8882 25.2604i 0.975947 1.12630i −0.0160278 0.999872i \(-0.505102\pi\)
0.991975 0.126432i \(-0.0403525\pi\)
\(504\) 1.09283 + 0.320885i 0.0486786 + 0.0142933i
\(505\) 17.4909 0.778336
\(506\) −14.7306 24.1045i −0.654854 1.07158i
\(507\) 8.12677 0.360922
\(508\) 6.89460 + 2.02444i 0.305898 + 0.0898198i
\(509\) 11.7336 13.5414i 0.520085 0.600210i −0.433567 0.901121i \(-0.642745\pi\)
0.953652 + 0.300911i \(0.0972908\pi\)
\(510\) 6.00622 + 3.85997i 0.265960 + 0.170922i
\(511\) 0.530084 3.68681i 0.0234495 0.163095i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) −0.589794 1.29147i −0.0260401 0.0570198i
\(514\) 2.38537 + 2.75286i 0.105214 + 0.121424i
\(515\) −0.131797 0.916671i −0.00580769 0.0403934i
\(516\) −2.07812 + 4.55045i −0.0914843 + 0.200323i
\(517\) −39.4074 + 11.5711i −1.73314 + 0.508895i
\(518\) −6.06045 + 1.77951i −0.266281 + 0.0781871i
\(519\) −5.01548 + 10.9824i −0.220155 + 0.482073i
\(520\) −0.411268 2.86043i −0.0180353 0.125438i
\(521\) −5.37419 6.20215i −0.235448 0.271721i 0.625714 0.780053i \(-0.284808\pi\)
−0.861161 + 0.508332i \(0.830262\pi\)
\(522\) 1.49580 + 3.27534i 0.0654694 + 0.143358i
\(523\) −5.46786 + 3.51398i −0.239093 + 0.153656i −0.654701 0.755888i \(-0.727205\pi\)
0.415608 + 0.909544i \(0.363569\pi\)
\(524\) 0.0936773 0.651540i 0.00409231 0.0284627i
\(525\) 2.00398 + 1.28788i 0.0874610 + 0.0562078i
\(526\) −10.5674 + 12.1955i −0.460761 + 0.531747i
\(527\) −33.8339 9.93454i −1.47383 0.432755i
\(528\) −6.40964 −0.278944
\(529\) −10.4921 + 20.4674i −0.456178 + 0.889889i
\(530\) 3.24003 0.140738
\(531\) 2.87362 + 0.843771i 0.124704 + 0.0366165i
\(532\) 0.111279 0.128423i 0.00482456 0.00556784i
\(533\) −21.3936 13.7488i −0.926660 0.595528i
\(534\) 0.710880 4.94428i 0.0307628 0.213960i
\(535\) −0.612995 + 0.393948i −0.0265021 + 0.0170318i
\(536\) −2.57308 5.63427i −0.111140 0.243363i
\(537\) −12.4972 14.4225i −0.539294 0.622378i
\(538\) 0.639552 + 4.44818i 0.0275730 + 0.191775i
\(539\) −16.1660 + 35.3986i −0.696319 + 1.52473i
\(540\) 6.17818 1.81408i 0.265866 0.0780654i
\(541\) 25.2892 7.42559i 1.08727 0.319251i 0.311486 0.950251i \(-0.399173\pi\)
0.775783 + 0.631000i \(0.217355\pi\)
\(542\) −1.45499 + 3.18598i −0.0624970 + 0.136849i
\(543\) 3.16008 + 21.9789i 0.135612 + 0.943203i
\(544\) −3.49691 4.03564i −0.149929 0.173027i
\(545\) 3.50265 + 7.66973i 0.150037 + 0.328535i
\(546\) 1.35039 0.867845i 0.0577915 0.0371403i
\(547\) 2.88152 20.0414i 0.123205 0.856910i −0.830683 0.556746i \(-0.812050\pi\)
0.953888 0.300164i \(-0.0970413\pi\)
\(548\) −10.5359 6.77104i −0.450073 0.289244i
\(549\) 10.8629 12.5365i 0.463618 0.535044i
\(550\) 19.7262 + 5.79215i 0.841130 + 0.246978i
\(551\) 0.537209 0.0228859
\(552\) 2.72125 + 4.45294i 0.115824 + 0.189530i
\(553\) −3.76777 −0.160222
\(554\) 11.5803 + 3.40028i 0.491999 + 0.144464i
\(555\) −8.81729 + 10.1757i −0.374273 + 0.431934i
\(556\) 14.3520 + 9.22346i 0.608660 + 0.391162i
\(557\) −1.16082 + 8.07369i −0.0491856 + 0.342093i 0.950338 + 0.311220i \(0.100738\pi\)
−0.999523 + 0.0308728i \(0.990171\pi\)
\(558\) −10.0879 + 6.48307i −0.427053 + 0.274450i
\(559\) −4.49165 9.83535i −0.189977 0.415991i
\(560\) 0.504677 + 0.582428i 0.0213265 + 0.0246121i
\(561\) 4.87101 + 33.8786i 0.205654 + 1.43036i
\(562\) −2.60300 + 5.69977i −0.109801 + 0.240430i
\(563\) −30.1773 + 8.86085i −1.27182 + 0.373440i −0.846882 0.531781i \(-0.821523\pi\)
−0.424940 + 0.905222i \(0.639705\pi\)
\(564\) 7.27993 2.13758i 0.306540 0.0900083i
\(565\) 0.636132 1.39294i 0.0267623 0.0586012i
\(566\) −4.50150 31.3086i −0.189212 1.31600i
\(567\) 0.104614 + 0.120730i 0.00439336 + 0.00507020i
\(568\) −3.76463 8.24338i −0.157960 0.345885i
\(569\) −22.4600 + 14.4342i −0.941573 + 0.605112i −0.918840 0.394629i \(-0.870873\pi\)
−0.0227328 + 0.999742i \(0.507237\pi\)
\(570\) 0.0515511 0.358546i 0.00215924 0.0150178i
\(571\) −24.2752 15.6007i −1.01589 0.652870i −0.0769759 0.997033i \(-0.524526\pi\)
−0.938910 + 0.344163i \(0.888163\pi\)
\(572\) 9.07230 10.4700i 0.379332 0.437772i
\(573\) −9.87955 2.90090i −0.412724 0.121187i
\(574\) 6.78183 0.283068
\(575\) −4.35094 16.1634i −0.181447 0.674061i
\(576\) −1.81592 −0.0756632
\(577\) 26.9449 + 7.91174i 1.12173 + 0.329370i 0.789453 0.613811i \(-0.210364\pi\)
0.332278 + 0.943181i \(0.392183\pi\)
\(578\) −7.54057 + 8.70228i −0.313646 + 0.361967i
\(579\) −23.3988 15.0375i −0.972421 0.624937i
\(580\) −0.346732 + 2.41157i −0.0143973 + 0.100135i
\(581\) −1.03052 + 0.662274i −0.0427531 + 0.0274758i
\(582\) −4.60370 10.0807i −0.190829 0.417858i
\(583\) 10.1717 + 11.7387i 0.421267 + 0.486168i
\(584\) 0.845139 + 5.87807i 0.0349721 + 0.243236i
\(585\) −2.17998 + 4.77349i −0.0901311 + 0.197360i
\(586\) −6.50322 + 1.90952i −0.268645 + 0.0788814i
\(587\) 26.9043 7.89980i 1.11046 0.326060i 0.325458 0.945556i \(-0.394481\pi\)
0.784999 + 0.619497i \(0.212663\pi\)
\(588\) 2.98642 6.53936i 0.123158 0.269679i
\(589\) 0.254609 + 1.77085i 0.0104910 + 0.0729665i
\(590\) 1.32706 + 1.53150i 0.0546340 + 0.0630510i
\(591\) −2.38202 5.21590i −0.0979833 0.214553i
\(592\) 8.47176 5.44447i 0.348187 0.223766i
\(593\) 1.07775 7.49592i 0.0442579 0.307821i −0.955653 0.294494i \(-0.904849\pi\)
0.999911 0.0133265i \(-0.00424207\pi\)
\(594\) 25.9681 + 16.6887i 1.06548 + 0.684744i
\(595\) 2.69494 3.11012i 0.110482 0.127503i
\(596\) 17.6680 + 5.18781i 0.723711 + 0.212501i
\(597\) 27.2213 1.11409
\(598\) −11.1255 1.85767i −0.454955 0.0759656i
\(599\) −12.5238 −0.511708 −0.255854 0.966715i \(-0.582357\pi\)
−0.255854 + 0.966715i \(0.582357\pi\)
\(600\) −3.64412 1.07001i −0.148771 0.0436830i
\(601\) 11.9356 13.7745i 0.486865 0.561872i −0.458160 0.888870i \(-0.651491\pi\)
0.945025 + 0.326997i \(0.106037\pi\)
\(602\) 2.42572 + 1.55892i 0.0988650 + 0.0635367i
\(603\) −1.60073 + 11.1333i −0.0651867 + 0.453384i
\(604\) −9.67468 + 6.21754i −0.393657 + 0.252988i
\(605\) −12.0952 26.4848i −0.491740 1.07676i
\(606\) −10.1439 11.7067i −0.412067 0.475551i
\(607\) 1.26113 + 8.77135i 0.0511877 + 0.356018i 0.999277 + 0.0380146i \(0.0121033\pi\)
−0.948089 + 0.318004i \(0.896988\pi\)
\(608\) −0.112546 + 0.246442i −0.00456435 + 0.00999453i
\(609\) −1.29851 + 0.381276i −0.0526181 + 0.0154501i
\(610\) 10.7694 3.16218i 0.436041 0.128033i
\(611\) −6.81243 + 14.9171i −0.275602 + 0.603483i
\(612\) 1.38001 + 9.59815i 0.0557834 + 0.387982i
\(613\) 13.9575 + 16.1078i 0.563736 + 0.650586i 0.964028 0.265802i \(-0.0856366\pi\)
−0.400292 + 0.916388i \(0.631091\pi\)
\(614\) −2.52301 5.52462i −0.101820 0.222956i
\(615\) 12.1618 7.81591i 0.490411 0.315168i
\(616\) −0.525785 + 3.65692i −0.0211845 + 0.147341i
\(617\) 30.0653 + 19.3218i 1.21038 + 0.777866i 0.980723 0.195404i \(-0.0626020\pi\)
0.229661 + 0.973271i \(0.426238\pi\)
\(618\) −0.537092 + 0.619837i −0.0216050 + 0.0249335i
\(619\) 7.07491 + 2.07738i 0.284365 + 0.0834970i 0.420804 0.907151i \(-0.361748\pi\)
−0.136440 + 0.990648i \(0.543566\pi\)
\(620\) −8.11380 −0.325858
\(621\) 0.569152 25.1260i 0.0228393 1.00827i
\(622\) 10.2293 0.410159
\(623\) −2.76257 0.811163i −0.110680 0.0324986i
\(624\) −1.67597 + 1.93417i −0.0670925 + 0.0774288i
\(625\) 3.89789 + 2.50502i 0.155916 + 0.100201i
\(626\) −0.572129 + 3.97924i −0.0228669 + 0.159043i
\(627\) 1.46086 0.938838i 0.0583411 0.0374936i
\(628\) 1.34102 + 2.93642i 0.0535124 + 0.117176i
\(629\) −35.2152 40.6406i −1.40412 1.62044i
\(630\) −0.199164 1.38522i −0.00793488 0.0551883i
\(631\) −7.98638 + 17.4877i −0.317933 + 0.696176i −0.999362 0.0357081i \(-0.988631\pi\)
0.681429 + 0.731884i \(0.261359\pi\)
\(632\) 5.76381 1.69241i 0.229272 0.0673204i
\(633\) −9.25713 + 2.71814i −0.367938 + 0.108036i
\(634\) 2.07418 4.54182i 0.0823763 0.180379i
\(635\) −1.25651 8.73921i −0.0498630 0.346805i
\(636\) −1.87906 2.16855i −0.0745096 0.0859887i
\(637\) 6.45485 + 14.1342i 0.255751 + 0.560016i
\(638\) −9.82572 + 6.31461i −0.389004 + 0.249998i
\(639\) −2.34199 + 16.2889i −0.0926479 + 0.644380i
\(640\) −1.03365 0.664289i −0.0408588 0.0262583i
\(641\) −10.1695 + 11.7363i −0.401673 + 0.463555i −0.920167 0.391526i \(-0.871947\pi\)
0.518494 + 0.855081i \(0.326493\pi\)
\(642\) 0.619176 + 0.181807i 0.0244369 + 0.00717533i
\(643\) 12.8573 0.507043 0.253522 0.967330i \(-0.418411\pi\)
0.253522 + 0.967330i \(0.418411\pi\)
\(644\) 2.76378 1.18729i 0.108908 0.0467858i
\(645\) 6.14664 0.242024
\(646\) 1.38811 + 0.407587i 0.0546146 + 0.0160363i
\(647\) 23.0648 26.6182i 0.906771 1.04647i −0.0919425 0.995764i \(-0.529308\pi\)
0.998714 0.0507053i \(-0.0161469\pi\)
\(648\) −0.214264 0.137699i −0.00841710 0.00540934i
\(649\) −1.38256 + 9.61592i −0.0542703 + 0.377458i
\(650\) 6.90578 4.43808i 0.270867 0.174076i
\(651\) −1.87226 4.09967i −0.0733795 0.160679i
\(652\) −7.24518 8.36139i −0.283743 0.327457i
\(653\) −4.09454 28.4782i −0.160232 1.11444i −0.898196 0.439596i \(-0.855122\pi\)
0.737964 0.674840i \(-0.235787\pi\)
\(654\) 3.10198 6.79239i 0.121297 0.265604i
\(655\) −0.776023 + 0.227861i −0.0303217 + 0.00890326i
\(656\) −10.3746 + 3.04627i −0.405062 + 0.118937i
\(657\) 4.47978 9.80934i 0.174773 0.382699i
\(658\) −0.622387 4.32879i −0.0242632 0.168754i
\(659\) −1.97220 2.27605i −0.0768262 0.0886621i 0.716035 0.698064i \(-0.245955\pi\)
−0.792861 + 0.609402i \(0.791410\pi\)
\(660\) 3.27163 + 7.16387i 0.127348 + 0.278853i
\(661\) 8.06392 5.18236i 0.313650 0.201571i −0.374339 0.927292i \(-0.622130\pi\)
0.687989 + 0.725721i \(0.258494\pi\)
\(662\) −0.698720 + 4.85970i −0.0271565 + 0.188878i
\(663\) 11.4969 + 7.38858i 0.446501 + 0.286949i
\(664\) 1.27897 1.47602i 0.0496338 0.0572805i
\(665\) −0.200334 0.0588234i −0.00776862 0.00228107i
\(666\) −18.2870 −0.708607
\(667\) 8.55850 + 4.14528i 0.331386 + 0.160506i
\(668\) −21.9317 −0.848563
\(669\) −17.7316 5.20646i −0.685542 0.201293i
\(670\) −4.98390 + 5.75172i −0.192545 + 0.222208i
\(671\) 45.2659 + 29.0906i 1.74747 + 1.12303i
\(672\) 0.0971309 0.675560i 0.00374691 0.0260603i
\(673\) 13.4283 8.62986i 0.517624 0.332657i −0.255607 0.966781i \(-0.582275\pi\)
0.773231 + 0.634124i \(0.218639\pi\)
\(674\) 12.3100 + 26.9551i 0.474162 + 1.03827i
\(675\) 11.9779 + 13.8232i 0.461028 + 0.532055i
\(676\) 1.06286 + 7.39237i 0.0408793 + 0.284322i
\(677\) 10.8453 23.7479i 0.416819 0.912706i −0.578466 0.815707i \(-0.696348\pi\)
0.995284 0.0969993i \(-0.0309244\pi\)
\(678\) −1.30122 + 0.382072i −0.0499729 + 0.0146734i
\(679\) −6.12902 + 1.79964i −0.235210 + 0.0690640i
\(680\) −2.72562 + 5.96828i −0.104523 + 0.228873i
\(681\) −2.78675 19.3823i −0.106789 0.742731i
\(682\) −25.4722 29.3965i −0.975383 1.12565i
\(683\) −17.1908 37.6427i −0.657789 1.44036i −0.884568 0.466411i \(-0.845547\pi\)
0.226779 0.973946i \(-0.427181\pi\)
\(684\) 0.413877 0.265983i 0.0158250 0.0101701i
\(685\) −2.19000 + 15.2318i −0.0836758 + 0.581978i
\(686\) −7.17947 4.61397i −0.274114 0.176162i
\(687\) 5.34196 6.16495i 0.203808 0.235207i
\(688\) −4.41103 1.29519i −0.168169 0.0493788i
\(689\) 6.20193 0.236275
\(690\) 3.58794 5.31435i 0.136590 0.202314i
\(691\) 40.6203 1.54527 0.772635 0.634850i \(-0.218938\pi\)
0.772635 + 0.634850i \(0.218938\pi\)
\(692\) −10.6459 3.12591i −0.404695 0.118829i
\(693\) 4.39343 5.07028i 0.166892 0.192604i
\(694\) −10.8168 6.95151i −0.410598 0.263876i
\(695\) 2.98321 20.7487i 0.113160 0.787042i
\(696\) 1.81515 1.16653i 0.0688032 0.0442171i
\(697\) 23.9855 + 52.5209i 0.908515 + 1.98937i
\(698\) 15.4134 + 17.7880i 0.583407 + 0.673287i
\(699\) 0.855307 + 5.94879i 0.0323507 + 0.225004i
\(700\) −0.909407 + 1.99132i −0.0343723 + 0.0752649i
\(701\) −1.52463 + 0.447673i −0.0575846 + 0.0169084i −0.310398 0.950607i \(-0.600462\pi\)
0.252813 + 0.967515i \(0.418644\pi\)
\(702\) 11.8260 3.47243i 0.446344 0.131058i
\(703\) −1.13338 + 2.48177i −0.0427464 + 0.0936016i
\(704\) −0.838287 5.83041i −0.0315941 0.219742i
\(705\) −6.10496 7.04550i −0.229926 0.265349i
\(706\) 3.45330 + 7.56167i 0.129967 + 0.284587i
\(707\) −7.51116 + 4.82713i −0.282486 + 0.181543i
\(708\) 0.255407 1.77640i 0.00959879 0.0667610i
\(709\) −3.64246 2.34087i −0.136796 0.0879131i 0.470453 0.882425i \(-0.344090\pi\)
−0.607249 + 0.794512i \(0.707727\pi\)
\(710\) −7.29184 + 8.41523i −0.273658 + 0.315818i
\(711\) −10.4666 3.07327i −0.392528 0.115257i
\(712\) 4.59045 0.172034
\(713\) −9.60815 + 30.1767i −0.359828 + 1.13013i
\(714\) −3.64453 −0.136393
\(715\) −16.3327 4.79572i −0.610809 0.179350i
\(716\) 11.4847 13.2541i 0.429205 0.495329i
\(717\) −4.77756 3.07035i −0.178421 0.114664i
\(718\) 2.75167 19.1383i 0.102691 0.714235i
\(719\) −21.8293 + 14.0289i −0.814096 + 0.523188i −0.880188 0.474626i \(-0.842583\pi\)
0.0660915 + 0.997814i \(0.478947\pi\)
\(720\) 0.926887 + 2.02960i 0.0345430 + 0.0756387i
\(721\) 0.309580 + 0.357275i 0.0115294 + 0.0133056i
\(722\) 2.69354 + 18.7340i 0.100243 + 0.697206i
\(723\) 0.702417 1.53808i 0.0261232 0.0572018i
\(724\) −19.5794 + 5.74903i −0.727662 + 0.213661i
\(725\) −6.64044 + 1.94981i −0.246620 + 0.0724141i
\(726\) −10.7116 + 23.4552i −0.397546 + 0.870505i
\(727\) −2.47161 17.1904i −0.0916670 0.637558i −0.982918 0.184047i \(-0.941080\pi\)
0.891251 0.453511i \(-0.149829\pi\)
\(728\) 0.966031 + 1.11486i 0.0358035 + 0.0413194i
\(729\) 7.29878 + 15.9821i 0.270325 + 0.591929i
\(730\) 6.13838 3.94489i 0.227191 0.146007i
\(731\) −3.49368 + 24.2991i −0.129218 + 0.898734i
\(732\) −8.36218 5.37405i −0.309075 0.198631i
\(733\) −30.9021 + 35.6630i −1.14140 + 1.31724i −0.200055 + 0.979785i \(0.564112\pi\)
−0.941341 + 0.337457i \(0.890433\pi\)
\(734\) −29.2088 8.57648i −1.07812 0.316564i
\(735\) −8.83319 −0.325817
\(736\) −3.69464 + 3.05772i −0.136186 + 0.112709i
\(737\) −36.4850 −1.34394
\(738\) 18.8395 + 5.53177i 0.693491 + 0.203627i
\(739\) −9.88757 + 11.4109i −0.363720 + 0.419755i −0.907883 0.419224i \(-0.862302\pi\)
0.544163 + 0.838980i \(0.316847\pi\)
\(740\) −10.4093 6.68966i −0.382654 0.245917i
\(741\) 0.0986769 0.686313i 0.00362499 0.0252123i
\(742\) −1.39137 + 0.894181i −0.0510789 + 0.0328264i
\(743\) −4.94255 10.8227i −0.181324 0.397045i 0.797042 0.603924i \(-0.206397\pi\)
−0.978367 + 0.206878i \(0.933670\pi\)
\(744\) 4.70561 + 5.43056i 0.172516 + 0.199094i
\(745\) −3.21992 22.3950i −0.117969 0.820491i
\(746\) 8.01594 17.5525i 0.293484 0.642641i
\(747\) −3.40291 + 0.999185i −0.124506 + 0.0365583i
\(748\) −30.1800 + 8.86165i −1.10349 + 0.324014i
\(749\) 0.154518 0.338348i 0.00564597 0.0123630i
\(750\) 1.61552 + 11.2362i 0.0589904 + 0.410287i
\(751\) −5.20597 6.00801i −0.189969 0.219235i 0.652773 0.757553i \(-0.273605\pi\)
−0.842742 + 0.538318i \(0.819060\pi\)
\(752\) 2.89652 + 6.34249i 0.105625 + 0.231287i
\(753\) 8.17152 5.25152i 0.297787 0.191376i
\(754\) −0.663699 + 4.61613i −0.0241705 + 0.168110i
\(755\) 11.8874 + 7.63954i 0.432625 + 0.278031i
\(756\) −2.15246 + 2.48407i −0.0782842 + 0.0903448i
\(757\) −21.3067 6.25622i −0.774406 0.227386i −0.129430 0.991589i \(-0.541315\pi\)
−0.644977 + 0.764202i \(0.723133\pi\)
\(758\) 32.3335 1.17441
\(759\) 30.5179 3.68452i 1.10773 0.133740i
\(760\) 0.332887 0.0120751
\(761\) −3.25541 0.955875i −0.118009 0.0346504i 0.222195 0.975002i \(-0.428678\pi\)
−0.340204 + 0.940352i \(0.610496\pi\)
\(762\) −5.12044 + 5.90930i −0.185494 + 0.214071i
\(763\) −3.62084 2.32697i −0.131083 0.0842420i
\(764\) 1.34665 9.36615i 0.0487201 0.338856i
\(765\) 10.0232 6.44152i 0.362389 0.232894i
\(766\) −2.98681 6.54021i −0.107918 0.236307i
\(767\) 2.54019 + 2.93154i 0.0917210 + 0.105852i
\(768\) 0.154861 + 1.07708i 0.00558806 + 0.0388658i
\(769\) 1.72530 3.77789i 0.0622160 0.136234i −0.875970 0.482366i \(-0.839778\pi\)
0.938186 + 0.346132i \(0.112505\pi\)
\(770\) 4.35561 1.27892i 0.156965 0.0460891i
\(771\) −3.80311 + 1.11670i −0.136966 + 0.0402168i
\(772\) 10.6184 23.2510i 0.382163 0.836821i
\(773\) 4.01918 + 27.9540i 0.144560 + 1.00544i 0.924935 + 0.380125i \(0.124119\pi\)
−0.780375 + 0.625311i \(0.784972\pi\)
\(774\) 5.46692 + 6.30916i 0.196504 + 0.226778i
\(775\) −9.57454 20.9653i −0.343928 0.753097i
\(776\) 8.56762 5.50608i 0.307560 0.197657i
\(777\) 0.978147 6.80316i 0.0350908 0.244062i
\(778\) 22.1125 + 14.2109i 0.792773 + 0.509484i
\(779\) 1.91835 2.21390i 0.0687321 0.0793211i
\(780\) 3.01722 + 0.885937i 0.108034 + 0.0317216i
\(781\) −53.3804 −1.91010
\(782\) 18.9695 + 17.2046i 0.678349 + 0.615234i
\(783\) −10.3912 −0.371351
\(784\) 6.33899 + 1.86129i 0.226392 + 0.0664748i
\(785\) 2.59746 2.99763i 0.0927075 0.106990i
\(786\) 0.602563 + 0.387244i 0.0214927 + 0.0138125i
\(787\) −3.11544 + 21.6684i −0.111053 + 0.772393i 0.855845 + 0.517232i \(0.173038\pi\)
−0.966899 + 0.255161i \(0.917871\pi\)
\(788\) 4.43302 2.84893i 0.157920 0.101489i
\(789\) −7.29446 15.9726i −0.259690 0.568641i
\(790\) −4.83354 5.57820i −0.171970 0.198464i
\(791\) 0.111246 + 0.773730i 0.00395544 + 0.0275107i
\(792\) −4.44345 + 9.72980i −0.157891 + 0.345733i
\(793\) 20.6143 6.05291i 0.732036 0.214945i
\(794\) 8.89615 2.61214i 0.315712 0.0927015i
\(795\) −1.46461 + 3.20705i −0.0519444 + 0.113742i
\(796\) 3.56014 + 24.7613i 0.126186 + 0.877642i
\(797\) 7.02444 + 8.10663i 0.248818 + 0.287152i 0.866395 0.499359i \(-0.166431\pi\)
−0.617577 + 0.786510i \(0.711886\pi\)
\(798\) 0.0768135 + 0.168198i 0.00271917 + 0.00595415i
\(799\) 31.3225 20.1297i 1.10811 0.712139i
\(800\) 0.496718 3.45475i 0.0175616 0.122144i
\(801\) −7.01258 4.50671i −0.247777 0.159237i
\(802\) 18.3571 21.1853i 0.648213 0.748078i
\(803\) 33.5631 + 9.85502i 1.18442 + 0.347776i
\(804\) 6.74004 0.237703
\(805\) −2.73770 2.48298i −0.0964912 0.0875136i
\(806\) −15.5311 −0.547059
\(807\) −4.69201 1.37770i −0.165166 0.0484972i
\(808\) 9.32209 10.7583i 0.327950 0.378474i
\(809\) 28.3453 + 18.2164i 0.996568 + 0.640456i 0.933883 0.357578i \(-0.116397\pi\)
0.0626850 + 0.998033i \(0.480034\pi\)
\(810\) −0.0445371 + 0.309762i −0.00156487 + 0.0108839i
\(811\) 29.2735 18.8129i 1.02793 0.660611i 0.0859572 0.996299i \(-0.472605\pi\)
0.941973 + 0.335688i \(0.108969\pi\)
\(812\) −0.516646 1.13130i −0.0181307 0.0397008i
\(813\) −2.49584 2.88035i −0.0875330 0.101018i
\(814\) −8.44188 58.7146i −0.295888 2.05795i
\(815\) −5.64717 + 12.3656i −0.197812 + 0.433147i
\(816\) 5.57530 1.63705i 0.195174 0.0573084i
\(817\) 1.19506 0.350900i 0.0418097 0.0122764i
\(818\) 0.0184072 0.0403061i 0.000643591 0.00140927i
\(819\) −0.381231 2.65152i −0.0133213 0.0926516i
\(820\) 8.70019 + 10.0406i 0.303824 + 0.350631i
\(821\) −9.90154 21.6813i −0.345566 0.756684i −1.00000 0.000564668i \(-0.999820\pi\)
0.654434 0.756119i \(-0.272907\pi\)
\(822\) 11.4647 7.36794i 0.399879 0.256987i
\(823\) 3.38486 23.5422i 0.117989 0.820630i −0.841776 0.539826i \(-0.818490\pi\)
0.959765 0.280804i \(-0.0906010\pi\)
\(824\) −0.634067 0.407490i −0.0220888 0.0141956i
\(825\) −14.6502 + 16.9072i −0.510053 + 0.588633i
\(826\) −0.992543 0.291437i −0.0345350 0.0101404i
\(827\) 30.8236 1.07184 0.535921 0.844268i \(-0.319965\pi\)
0.535921 + 0.844268i \(0.319965\pi\)
\(828\) 8.64604 1.04386i 0.300471 0.0362768i
\(829\) −30.9416 −1.07465 −0.537324 0.843376i \(-0.680565\pi\)
−0.537324 + 0.843376i \(0.680565\pi\)
\(830\) −2.30252 0.676081i −0.0799216 0.0234671i
\(831\) −8.60038 + 9.92537i −0.298344 + 0.344307i
\(832\) −1.97858 1.27155i −0.0685948 0.0440832i
\(833\) 5.02069 34.9197i 0.173957 1.20989i
\(834\) −15.6172 + 10.0366i −0.540779 + 0.347538i
\(835\) 11.1945 + 24.5124i 0.387400 + 0.848288i
\(836\) 1.04506 + 1.20606i 0.0361440 + 0.0417124i
\(837\) −4.92489 34.2533i −0.170229 1.18397i
\(838\) 5.12508 11.2224i 0.177043 0.387670i
\(839\) 37.7321 11.0791i 1.30266 0.382494i 0.444452 0.895803i \(-0.353398\pi\)
0.858204 + 0.513308i \(0.171580\pi\)
\(840\) −0.804632 + 0.236261i −0.0277624 + 0.00815179i
\(841\) −10.4137 + 22.8028i −0.359093 + 0.786305i
\(842\) −0.397270 2.76307i −0.0136908 0.0952218i
\(843\) −4.46511 5.15301i −0.153786 0.177479i
\(844\) −3.68320 8.06509i −0.126781 0.277612i
\(845\) 7.71973 4.96117i 0.265567 0.170669i
\(846\) 1.80194 12.5328i 0.0619520 0.430885i
\(847\) 12.5033 + 8.03540i 0.429620 + 0.276100i
\(848\) 1.72683 1.99287i 0.0592996 0.0684354i
\(849\) 33.0248 + 9.69695i 1.13341 + 0.332798i
\(850\) −18.6378 −0.639272
\(851\) −37.2065 + 30.7924i −1.27542 + 1.05555i
\(852\) 9.86123 0.337840
\(853\) 5.57235 + 1.63619i 0.190794 + 0.0560220i 0.375733 0.926728i \(-0.377391\pi\)
−0.184940 + 0.982750i \(0.559209\pi\)
\(854\) −3.75203 + 4.33008i −0.128392 + 0.148172i
\(855\) −0.508534 0.326815i −0.0173915 0.0111768i
\(856\) −0.0843979 + 0.587000i −0.00288466 + 0.0200633i
\(857\) −17.8082 + 11.4446i −0.608316 + 0.390941i −0.808225 0.588873i \(-0.799572\pi\)
0.199909 + 0.979814i \(0.435935\pi\)
\(858\) 6.26241 + 13.7128i 0.213795 + 0.468146i
\(859\) −1.76327 2.03492i −0.0601620 0.0694306i 0.724871 0.688885i \(-0.241899\pi\)
−0.785033 + 0.619454i \(0.787354\pi\)
\(860\) 0.803890 + 5.59118i 0.0274124 + 0.190658i
\(861\) −3.06564 + 6.71280i −0.104477 + 0.228772i
\(862\) −3.35504 + 0.985129i −0.114273 + 0.0335536i
\(863\) −19.3770 + 5.68960i −0.659601 + 0.193676i −0.594367 0.804194i \(-0.702597\pi\)
−0.0652336 + 0.997870i \(0.520779\pi\)
\(864\) 2.17697 4.76690i 0.0740620 0.162173i
\(865\) 1.94016 + 13.4941i 0.0659675 + 0.458814i
\(866\) 6.17483 + 7.12613i 0.209829 + 0.242156i
\(867\) −5.20509 11.3976i −0.176774 0.387082i
\(868\) 3.48433 2.23924i 0.118266 0.0760048i
\(869\) 5.03571 35.0241i 0.170825 1.18811i
\(870\) −2.23029 1.43332i −0.0756140 0.0485942i
\(871\) −9.53996 + 11.0097i −0.323249 + 0.373049i
\(872\) 6.58427 + 1.93332i 0.222972 + 0.0654703i
\(873\) −18.4939 −0.625925
\(874\) 0.394196 1.23807i 0.0133339 0.0418783i
\(875\) 6.54314 0.221199
\(876\) −6.20028 1.82057i −0.209488 0.0615112i
\(877\) −13.7744 + 15.8966i −0.465130 + 0.536789i −0.939051 0.343779i \(-0.888293\pi\)
0.473921 + 0.880568i \(0.342838\pi\)
\(878\) 18.9979 + 12.2092i 0.641148 + 0.412041i
\(879\) 1.04961 7.30020i 0.0354025 0.246229i
\(880\) −6.08860 + 3.91291i −0.205247 + 0.131904i
\(881\) −10.2339 22.4090i −0.344787 0.754979i 0.655212 0.755445i \(-0.272579\pi\)
−1.00000 0.000465480i \(0.999852\pi\)
\(882\) −7.85639 9.06676i −0.264538 0.305294i
\(883\) 0.165923 + 1.15402i 0.00558376 + 0.0388359i 0.992423 0.122870i \(-0.0392097\pi\)
−0.986839 + 0.161705i \(0.948301\pi\)
\(884\) −5.21727 + 11.4242i −0.175476 + 0.384238i
\(885\) −2.11579 + 0.621253i −0.0711216 + 0.0208832i
\(886\) 5.83426 1.71309i 0.196006 0.0575525i
\(887\) −4.22870 + 9.25957i −0.141986 + 0.310906i −0.967243 0.253851i \(-0.918303\pi\)
0.825257 + 0.564757i \(0.191030\pi\)
\(888\) 1.55951 + 10.8466i 0.0523337 + 0.363989i
\(889\) 2.95143 + 3.40613i 0.0989877 + 0.114238i
\(890\) −2.34307 5.13062i −0.0785400 0.171979i
\(891\) −1.26210 + 0.811100i −0.0422818 + 0.0271729i
\(892\) 2.41693 16.8101i 0.0809249 0.562845i
\(893\) −1.58917 1.02130i −0.0531794 0.0341763i
\(894\) −13.1216 + 15.1431i −0.438852 + 0.506462i
\(895\) −20.6758 6.07097i −0.691116 0.202930i
\(896\) 0.627214 0.0209538
\(897\) 6.86788 10.1725i 0.229312 0.339650i
\(898\) −12.0641 −0.402583
\(899\) 12.5636 + 3.68900i 0.419018 + 0.123035i
\(900\) −4.15054 + 4.78998i −0.138351 + 0.159666i
\(901\) −11.8457 7.61280i −0.394639 0.253619i
\(902\) −9.06408 + 63.0421i −0.301801 + 2.09907i
\(903\) −2.63956 + 1.69634i −0.0878392 + 0.0564508i
\(904\) −0.517725 1.13366i −0.0172193 0.0377049i
\(905\) 16.4193 + 18.9489i 0.545796 + 0.629882i
\(906\) −1.78095 12.3868i −0.0591680 0.411523i
\(907\) 8.16401 17.8767i 0.271082 0.593586i −0.724311 0.689474i \(-0.757842\pi\)
0.995392 + 0.0958881i \(0.0305691\pi\)
\(908\) 17.2663 5.06984i 0.573002 0.168248i
\(909\) −24.8029 + 7.28278i −0.822659 + 0.241555i
\(910\) 0.752961 1.64876i 0.0249604 0.0546557i
\(911\) 6.81180 + 47.3771i 0.225685 + 1.56967i 0.715983 + 0.698118i \(0.245979\pi\)
−0.490298 + 0.871555i \(0.663112\pi\)
\(912\) −0.193058 0.222801i −0.00639280 0.00737768i
\(913\) −4.77901 10.4646i −0.158162 0.346326i
\(914\) −16.9598 + 10.8994i −0.560979 + 0.360519i
\(915\) −1.73817 + 12.0892i −0.0574620 + 0.399657i
\(916\) 6.30648 + 4.05293i 0.208372 + 0.133913i
\(917\) 0.270364 0.312017i 0.00892821 0.0103037i
\(918\) −26.8502 7.88392i −0.886187 0.260208i
\(919\) −35.7413 −1.17900 −0.589499 0.807769i \(-0.700675\pi\)
−0.589499 + 0.807769i \(0.700675\pi\)
\(920\) 5.30335 + 2.56866i 0.174846 + 0.0846864i
\(921\) 6.60888 0.217770
\(922\) −32.7540 9.61744i −1.07870 0.316733i
\(923\) −13.9577 + 16.1081i −0.459424 + 0.530204i
\(924\) −3.38202 2.17349i −0.111260 0.0715027i
\(925\) 5.00215 34.7907i 0.164470 1.14391i
\(926\) 9.81876 6.31013i 0.322664 0.207364i
\(927\) 0.568573 + 1.24500i 0.0186744 + 0.0408912i
\(928\) 1.29851 + 1.49856i 0.0426256 + 0.0491925i
\(929\) 3.26383 + 22.7004i 0.107083 + 0.744777i 0.970642 + 0.240529i \(0.0773210\pi\)
−0.863559 + 0.504247i \(0.831770\pi\)
\(930\) 3.66773 8.03121i 0.120270 0.263354i
\(931\) −1.71739 + 0.504270i −0.0562851 + 0.0165268i
\(932\) −5.29935 + 1.55603i −0.173586 + 0.0509695i
\(933\) −4.62403 + 10.1252i −0.151384 + 0.331485i
\(934\) −0.675303 4.69683i −0.0220966 0.153685i
\(935\) 25.3090 + 29.2081i 0.827692 + 0.955208i
\(936\) 1.77421 + 3.88497i 0.0579917 + 0.126984i
\(937\) −16.5521 + 10.6374i −0.540735 + 0.347509i −0.782326 0.622869i \(-0.785967\pi\)
0.241591 + 0.970378i \(0.422331\pi\)
\(938\) 0.552889 3.84543i 0.0180525 0.125558i
\(939\) −3.68012 2.36507i −0.120096 0.0771811i
\(940\) 5.61037 6.47471i 0.182990 0.211182i
\(941\) 50.1716 + 14.7317i 1.63555 + 0.480240i 0.965136 0.261748i \(-0.0842989\pi\)
0.670413 + 0.741989i \(0.266117\pi\)
\(942\) −3.51272 −0.114451
\(943\) 47.6452 20.4678i 1.55154 0.666524i
\(944\) 1.64927 0.0536792
\(945\) 3.87504 + 1.13781i 0.126055 + 0.0370131i
\(946\) −17.7333 + 20.4653i −0.576559 + 0.665385i
\(947\) −22.1851 14.2575i −0.720917 0.463305i 0.128038 0.991769i \(-0.459132\pi\)
−0.848956 + 0.528464i \(0.822768\pi\)
\(948\) −0.930270 + 6.47017i −0.0302138 + 0.210141i
\(949\) 11.7498 7.55115i 0.381415 0.245121i
\(950\) 0.392817 + 0.860150i 0.0127447 + 0.0279069i
\(951\) 3.55799 + 4.10614i 0.115376 + 0.133151i
\(952\) −0.476652 3.31519i −0.0154484 0.107446i
\(953\) 17.2026 37.6685i 0.557247 1.22020i −0.396067 0.918222i \(-0.629625\pi\)
0.953314 0.301980i \(-0.0976474\pi\)
\(954\) −4.59450 + 1.34907i −0.148752 + 0.0436777i
\(955\) −11.1556 + 3.27559i −0.360988 + 0.105996i
\(956\) 2.16805 4.74738i 0.0701199 0.153541i
\(957\) −1.80875 12.5801i −0.0584686 0.406658i
\(958\) 19.4848 + 22.4866i 0.629524 + 0.726509i
\(959\) −3.26321 7.14543i −0.105374 0.230738i
\(960\) 1.12478 0.722850i 0.0363020 0.0233299i
\(961\) −1.79410 + 12.4782i −0.0578742 + 0.402524i
\(962\) −19.9251 12.8051i −0.642410 0.412852i
\(963\) 0.705223 0.813870i 0.0227255 0.0262266i
\(964\) 1.49095 + 0.437783i 0.0480203 + 0.0141000i
\(965\) −31.4068 −1.01102
\(966\) −0.0741251 + 3.27235i −0.00238494 + 0.105286i
\(967\) −24.8632 −0.799546 −0.399773 0.916614i \(-0.630911\pi\)
−0.399773 + 0.916614i \(0.630911\pi\)
\(968\) −22.7366 6.67606i −0.730781 0.214577i
\(969\) −1.03092 + 1.18974i −0.0331178 + 0.0382200i
\(970\) −10.5271 6.76536i −0.338005 0.217222i
\(971\) 7.51378 52.2595i 0.241129 1.67709i −0.405355 0.914159i \(-0.632852\pi\)
0.646484 0.762928i \(-0.276239\pi\)
\(972\) −12.9925 + 8.34979i −0.416736 + 0.267820i
\(973\) 4.44512 + 9.73345i 0.142504 + 0.312040i
\(974\) 5.70651 + 6.58566i 0.182848 + 0.211018i
\(975\) 1.27124 + 8.84166i 0.0407122 + 0.283160i
\(976\) 3.79475 8.30935i 0.121467 0.265976i
\(977\) 12.6033 3.70065i 0.403214 0.118394i −0.0738363 0.997270i \(-0.523524\pi\)
0.477050 + 0.878876i \(0.341706\pi\)
\(978\) 11.5514 3.39179i 0.369372 0.108457i
\(979\) 11.2326 24.5959i 0.358995 0.786090i
\(980\) −1.15525 8.03496i −0.0369032 0.256667i
\(981\) −8.16039 9.41759i −0.260541 0.300680i
\(982\) 6.25698 + 13.7009i 0.199668 + 0.437212i
\(983\) −45.2576 + 29.0853i −1.44349 + 0.927677i −0.443995 + 0.896029i \(0.646439\pi\)
−0.999499 + 0.0316476i \(0.989925\pi\)
\(984\) 1.67445 11.6461i 0.0533795 0.371263i
\(985\) −5.44688 3.50050i −0.173552 0.111535i
\(986\) 6.93393 8.00218i 0.220821 0.254841i
\(987\) 4.56608 + 1.34072i 0.145340 + 0.0426756i
\(988\) 0.637198 0.0202720
\(989\) 21.7466 + 3.63111i 0.691500 + 0.115463i
\(990\) 13.1428 0.417705
\(991\) 41.8902 + 12.3001i 1.33069 + 0.390725i 0.868337 0.495974i \(-0.165189\pi\)
0.462348 + 0.886698i \(0.347007\pi\)
\(992\) −4.32439 + 4.99061i −0.137300 + 0.158452i
\(993\) −4.49439 2.88837i −0.142625 0.0916596i
\(994\) 0.808921 5.62617i 0.0256574 0.178451i
\(995\) 25.8579 16.6178i 0.819749 0.526821i
\(996\) 0.882849 + 1.93317i 0.0279741 + 0.0612548i
\(997\) 34.9557 + 40.3411i 1.10706 + 1.27761i 0.957365 + 0.288882i \(0.0932836\pi\)
0.149695 + 0.988732i \(0.452171\pi\)
\(998\) −4.49705 31.2777i −0.142352 0.990078i
\(999\) 21.9230 48.0046i 0.693612 1.51880i
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 46.2.c.a.41.1 yes 10
3.2 odd 2 414.2.i.f.271.1 10
4.3 odd 2 368.2.m.b.225.1 10
23.3 even 11 1058.2.a.m.1.2 5
23.9 even 11 inner 46.2.c.a.9.1 10
23.20 odd 22 1058.2.a.l.1.2 5
69.20 even 22 9522.2.a.bu.1.1 5
69.26 odd 22 9522.2.a.bp.1.5 5
69.32 odd 22 414.2.i.f.55.1 10
92.3 odd 22 8464.2.a.bx.1.4 5
92.43 even 22 8464.2.a.bw.1.4 5
92.55 odd 22 368.2.m.b.193.1 10
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
46.2.c.a.9.1 10 23.9 even 11 inner
46.2.c.a.41.1 yes 10 1.1 even 1 trivial
368.2.m.b.193.1 10 92.55 odd 22
368.2.m.b.225.1 10 4.3 odd 2
414.2.i.f.55.1 10 69.32 odd 22
414.2.i.f.271.1 10 3.2 odd 2
1058.2.a.l.1.2 5 23.20 odd 22
1058.2.a.m.1.2 5 23.3 even 11
8464.2.a.bw.1.4 5 92.43 even 22
8464.2.a.bx.1.4 5 92.3 odd 22
9522.2.a.bp.1.5 5 69.26 odd 22
9522.2.a.bu.1.1 5 69.20 even 22