Properties

Label 322.2.i.c.197.2
Level $322$
Weight $2$
Character 322.197
Analytic conductor $2.571$
Analytic rank $0$
Dimension $20$
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] = [322,2,Mod(29,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(2\) over \(\Q(\zeta_{11})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{20} - 9 x^{19} + 41 x^{18} - 119 x^{17} + 245 x^{16} - 404 x^{15} + 623 x^{14} - 898 x^{13} + 1048 x^{12} - 693 x^{11} + 859 x^{10} - 935 x^{9} + 620 x^{8} + 679 x^{7} + 1220 x^{6} + \cdots + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 197.2
Root \(2.47844 - 0.727734i\) of defining polynomial
Character \(\chi\) \(=\) 322.197
Dual form 322.2.i.c.85.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.654861 - 0.755750i) q^{2} +(1.33176 + 0.855871i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(0.426940 - 0.934869i) q^{5} +(-0.225294 - 1.56696i) q^{6} +(-0.959493 - 0.281733i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.205171 - 0.449262i) q^{9} +O(q^{10})\) \(q+(-0.654861 - 0.755750i) q^{2} +(1.33176 + 0.855871i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(0.426940 - 0.934869i) q^{5} +(-0.225294 - 1.56696i) q^{6} +(-0.959493 - 0.281733i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.205171 - 0.449262i) q^{9} +(-0.986114 + 0.289549i) q^{10} +(2.66816 - 3.07922i) q^{11} +(-1.03669 + 1.19640i) q^{12} +(5.08004 - 1.49163i) q^{13} +(0.415415 + 0.909632i) q^{14} +(1.36871 - 0.879617i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(0.323828 + 2.25227i) q^{17} +(-0.205171 + 0.449262i) q^{18} +(-0.474179 + 3.29799i) q^{19} +(0.864594 + 0.555641i) q^{20} +(-1.03669 - 1.19640i) q^{21} -4.07440 q^{22} +(4.65285 + 1.16231i) q^{23} +1.58307 q^{24} +(2.58260 + 2.98048i) q^{25} +(-4.45402 - 2.86242i) q^{26} +(0.787154 - 5.47478i) q^{27} +(0.415415 - 0.909632i) q^{28} +(0.0814920 + 0.566789i) q^{29} +(-1.56109 - 0.458376i) q^{30} +(-8.38147 + 5.38644i) q^{31} +(0.415415 + 0.909632i) q^{32} +(6.18878 - 1.81719i) q^{33} +(1.49009 - 1.71966i) q^{34} +(-0.673030 + 0.776717i) q^{35} +(0.473888 - 0.139146i) q^{36} +(-0.813758 - 1.78188i) q^{37} +(2.80297 - 1.80136i) q^{38} +(8.04205 + 2.36136i) q^{39} +(-0.146263 - 1.01728i) q^{40} +(2.46732 - 5.40267i) q^{41} +(-0.225294 + 1.56696i) q^{42} +(-9.19826 - 5.91136i) q^{43} +(2.66816 + 3.07922i) q^{44} -0.507597 q^{45} +(-2.16856 - 4.27754i) q^{46} -7.21974 q^{47} +(-1.03669 - 1.19640i) q^{48} +(0.841254 + 0.540641i) q^{49} +(0.561253 - 3.90360i) q^{50} +(-1.49640 + 3.27665i) q^{51} +(0.753486 + 5.24061i) q^{52} +(-7.15625 - 2.10126i) q^{53} +(-4.65304 + 2.99032i) q^{54} +(-1.73952 - 3.80903i) q^{55} +(-0.959493 + 0.281733i) q^{56} +(-3.45414 + 3.98630i) q^{57} +(0.374985 - 0.432756i) q^{58} +(4.02616 - 1.18219i) q^{59} +(0.675876 + 1.47996i) q^{60} +(-5.62552 + 3.61530i) q^{61} +(9.55950 + 2.80692i) q^{62} +(0.0702885 + 0.488867i) q^{63} +(0.415415 - 0.909632i) q^{64} +(0.774391 - 5.38601i) q^{65} +(-5.42613 - 3.48716i) q^{66} +(-2.06638 - 2.38473i) q^{67} -2.27544 q^{68} +(5.20171 + 5.53016i) q^{69} +1.02774 q^{70} +(6.56994 + 7.58211i) q^{71} +(-0.415491 - 0.267020i) q^{72} +(-1.30769 + 9.09520i) q^{73} +(-0.813758 + 1.78188i) q^{74} +(0.888502 + 6.17967i) q^{75} +(-3.19693 - 0.938705i) q^{76} +(-3.42760 + 2.20279i) q^{77} +(-3.48183 - 7.62413i) q^{78} +(-11.2236 + 3.29555i) q^{79} +(-0.673030 + 0.776717i) q^{80} +(4.76371 - 5.49761i) q^{81} +(-5.69881 + 1.67332i) q^{82} +(6.21437 + 13.6076i) q^{83} +(1.33176 - 0.855871i) q^{84} +(2.24384 + 0.658850i) q^{85} +(1.55607 + 10.8227i) q^{86} +(-0.376571 + 0.824575i) q^{87} +(0.579847 - 4.03293i) q^{88} +(11.6806 + 7.50667i) q^{89} +(0.332406 + 0.383616i) q^{90} -5.29450 q^{91} +(-1.81265 + 4.44008i) q^{92} -15.7722 q^{93} +(4.72793 + 5.45632i) q^{94} +(2.88074 + 1.85134i) q^{95} +(-0.225294 + 1.56696i) q^{96} +(3.04736 - 6.67279i) q^{97} +(-0.142315 - 0.989821i) q^{98} +(-1.93081 - 0.566937i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 5 q^{5} + 4 q^{6} - 2 q^{7} - 2 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 20 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 5 q^{5} + 4 q^{6} - 2 q^{7} - 2 q^{8} - 12 q^{9} + 6 q^{10} + 6 q^{11} + 4 q^{12} + 14 q^{13} - 2 q^{14} + 13 q^{15} - 2 q^{16} + 7 q^{17} - 12 q^{18} - 2 q^{19} + 6 q^{20} + 4 q^{21} - 16 q^{22} + 9 q^{23} - 18 q^{24} + 23 q^{25} + 3 q^{26} - 47 q^{27} - 2 q^{28} + 2 q^{29} - 20 q^{30} + 28 q^{31} - 2 q^{32} + 26 q^{33} + 18 q^{34} - 5 q^{35} + 10 q^{36} - 17 q^{37} + 9 q^{38} + 36 q^{39} - 5 q^{40} - 7 q^{41} + 4 q^{42} - 17 q^{43} + 6 q^{44} + 90 q^{45} + 9 q^{46} - 68 q^{47} + 4 q^{48} - 2 q^{49} - 43 q^{50} - 15 q^{51} + 14 q^{52} - 35 q^{53} + 19 q^{54} + 8 q^{55} - 2 q^{56} - 20 q^{57} + 24 q^{58} - 60 q^{59} + 13 q^{60} - 48 q^{61} - 5 q^{62} + 10 q^{63} - 2 q^{64} + 40 q^{65} - 29 q^{66} - 57 q^{67} + 18 q^{68} + 4 q^{69} + 6 q^{70} - 39 q^{71} - q^{72} - 30 q^{73} - 17 q^{74} + 57 q^{75} - 2 q^{76} + 6 q^{77} - 19 q^{78} - 18 q^{79} - 5 q^{80} - 90 q^{81} + 26 q^{82} + 28 q^{83} + 4 q^{84} - 13 q^{85} - 6 q^{86} + 13 q^{87} + 6 q^{88} + 34 q^{89} - 20 q^{90} - 30 q^{91} - 2 q^{92} - 16 q^{93} + 9 q^{94} + 110 q^{95} + 4 q^{96} - 2 q^{98} - 28 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.654861 0.755750i −0.463056 0.534396i
\(3\) 1.33176 + 0.855871i 0.768893 + 0.494138i 0.865331 0.501201i \(-0.167108\pi\)
−0.0964376 + 0.995339i \(0.530745\pi\)
\(4\) −0.142315 + 0.989821i −0.0711574 + 0.494911i
\(5\) 0.426940 0.934869i 0.190934 0.418086i −0.789819 0.613340i \(-0.789826\pi\)
0.980753 + 0.195253i \(0.0625529\pi\)
\(6\) −0.225294 1.56696i −0.0919759 0.639707i
\(7\) −0.959493 0.281733i −0.362654 0.106485i
\(8\) 0.841254 0.540641i 0.297428 0.191145i
\(9\) −0.205171 0.449262i −0.0683904 0.149754i
\(10\) −0.986114 + 0.289549i −0.311837 + 0.0915635i
\(11\) 2.66816 3.07922i 0.804481 0.928421i −0.194137 0.980974i \(-0.562191\pi\)
0.998618 + 0.0525536i \(0.0167361\pi\)
\(12\) −1.03669 + 1.19640i −0.299266 + 0.345372i
\(13\) 5.08004 1.49163i 1.40895 0.413705i 0.513202 0.858268i \(-0.328459\pi\)
0.895747 + 0.444563i \(0.146641\pi\)
\(14\) 0.415415 + 0.909632i 0.111024 + 0.243109i
\(15\) 1.36871 0.879617i 0.353400 0.227116i
\(16\) −0.959493 0.281733i −0.239873 0.0704331i
\(17\) 0.323828 + 2.25227i 0.0785399 + 0.546257i 0.990662 + 0.136339i \(0.0435336\pi\)
−0.912122 + 0.409918i \(0.865557\pi\)
\(18\) −0.205171 + 0.449262i −0.0483593 + 0.105892i
\(19\) −0.474179 + 3.29799i −0.108784 + 0.756610i 0.860284 + 0.509815i \(0.170286\pi\)
−0.969068 + 0.246794i \(0.920623\pi\)
\(20\) 0.864594 + 0.555641i 0.193329 + 0.124245i
\(21\) −1.03669 1.19640i −0.226224 0.261077i
\(22\) −4.07440 −0.868664
\(23\) 4.65285 + 1.16231i 0.970187 + 0.242358i
\(24\) 1.58307 0.323142
\(25\) 2.58260 + 2.98048i 0.516520 + 0.596096i
\(26\) −4.45402 2.86242i −0.873505 0.561368i
\(27\) 0.787154 5.47478i 0.151488 1.05362i
\(28\) 0.415415 0.909632i 0.0785061 0.171904i
\(29\) 0.0814920 + 0.566789i 0.0151327 + 0.105250i 0.995988 0.0894885i \(-0.0285232\pi\)
−0.980855 + 0.194739i \(0.937614\pi\)
\(30\) −1.56109 0.458376i −0.285014 0.0836876i
\(31\) −8.38147 + 5.38644i −1.50536 + 0.967434i −0.511202 + 0.859460i \(0.670800\pi\)
−0.994154 + 0.107973i \(0.965564\pi\)
\(32\) 0.415415 + 0.909632i 0.0734357 + 0.160802i
\(33\) 6.18878 1.81719i 1.07733 0.316332i
\(34\) 1.49009 1.71966i 0.255549 0.294919i
\(35\) −0.673030 + 0.776717i −0.113763 + 0.131289i
\(36\) 0.473888 0.139146i 0.0789814 0.0231910i
\(37\) −0.813758 1.78188i −0.133781 0.292939i 0.830872 0.556464i \(-0.187842\pi\)
−0.964653 + 0.263525i \(0.915115\pi\)
\(38\) 2.80297 1.80136i 0.454702 0.292219i
\(39\) 8.04205 + 2.36136i 1.28776 + 0.378120i
\(40\) −0.146263 1.01728i −0.0231263 0.160847i
\(41\) 2.46732 5.40267i 0.385330 0.843755i −0.613219 0.789913i \(-0.710126\pi\)
0.998549 0.0538424i \(-0.0171469\pi\)
\(42\) −0.225294 + 1.56696i −0.0347636 + 0.241786i
\(43\) −9.19826 5.91136i −1.40272 0.901475i −0.402817 0.915280i \(-0.631969\pi\)
−0.999905 + 0.0138058i \(0.995605\pi\)
\(44\) 2.66816 + 3.07922i 0.402241 + 0.464210i
\(45\) −0.507597 −0.0756681
\(46\) −2.16856 4.27754i −0.319737 0.630689i
\(47\) −7.21974 −1.05311 −0.526554 0.850142i \(-0.676516\pi\)
−0.526554 + 0.850142i \(0.676516\pi\)
\(48\) −1.03669 1.19640i −0.149633 0.172686i
\(49\) 0.841254 + 0.540641i 0.120179 + 0.0772344i
\(50\) 0.561253 3.90360i 0.0793731 0.552052i
\(51\) −1.49640 + 3.27665i −0.209537 + 0.458823i
\(52\) 0.753486 + 5.24061i 0.104490 + 0.726742i
\(53\) −7.15625 2.10126i −0.982987 0.288631i −0.249530 0.968367i \(-0.580276\pi\)
−0.733457 + 0.679736i \(0.762094\pi\)
\(54\) −4.65304 + 2.99032i −0.633198 + 0.406932i
\(55\) −1.73952 3.80903i −0.234557 0.513609i
\(56\) −0.959493 + 0.281733i −0.128218 + 0.0376481i
\(57\) −3.45414 + 3.98630i −0.457513 + 0.527998i
\(58\) 0.374985 0.432756i 0.0492379 0.0568236i
\(59\) 4.02616 1.18219i 0.524161 0.153908i −0.00893850 0.999960i \(-0.502845\pi\)
0.533100 + 0.846052i \(0.321027\pi\)
\(60\) 0.675876 + 1.47996i 0.0872552 + 0.191062i
\(61\) −5.62552 + 3.61530i −0.720274 + 0.462892i −0.848732 0.528823i \(-0.822634\pi\)
0.128458 + 0.991715i \(0.458997\pi\)
\(62\) 9.55950 + 2.80692i 1.21406 + 0.356479i
\(63\) 0.0702885 + 0.488867i 0.00885552 + 0.0615915i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) 0.774391 5.38601i 0.0960514 0.668052i
\(66\) −5.42613 3.48716i −0.667910 0.429240i
\(67\) −2.06638 2.38473i −0.252449 0.291341i 0.615353 0.788251i \(-0.289013\pi\)
−0.867802 + 0.496910i \(0.834468\pi\)
\(68\) −2.27544 −0.275937
\(69\) 5.20171 + 5.53016i 0.626212 + 0.665753i
\(70\) 1.02774 0.122839
\(71\) 6.56994 + 7.58211i 0.779708 + 0.899831i 0.997088 0.0762559i \(-0.0242966\pi\)
−0.217380 + 0.976087i \(0.569751\pi\)
\(72\) −0.415491 0.267020i −0.0489660 0.0314686i
\(73\) −1.30769 + 9.09520i −0.153054 + 1.06451i 0.758009 + 0.652245i \(0.226172\pi\)
−0.911062 + 0.412268i \(0.864737\pi\)
\(74\) −0.813758 + 1.78188i −0.0945974 + 0.207139i
\(75\) 0.888502 + 6.17967i 0.102595 + 0.713566i
\(76\) −3.19693 0.938705i −0.366714 0.107677i
\(77\) −3.42760 + 2.20279i −0.390611 + 0.251031i
\(78\) −3.48183 7.62413i −0.394239 0.863263i
\(79\) −11.2236 + 3.29555i −1.26276 + 0.370778i −0.843519 0.537099i \(-0.819520\pi\)
−0.419236 + 0.907877i \(0.637702\pi\)
\(80\) −0.673030 + 0.776717i −0.0752470 + 0.0868397i
\(81\) 4.76371 5.49761i 0.529301 0.610846i
\(82\) −5.69881 + 1.67332i −0.629329 + 0.184788i
\(83\) 6.21437 + 13.6076i 0.682116 + 1.49363i 0.860385 + 0.509644i \(0.170223\pi\)
−0.178269 + 0.983982i \(0.557050\pi\)
\(84\) 1.33176 0.855871i 0.145307 0.0933832i
\(85\) 2.24384 + 0.658850i 0.243378 + 0.0714623i
\(86\) 1.55607 + 10.8227i 0.167795 + 1.16704i
\(87\) −0.376571 + 0.824575i −0.0403726 + 0.0884037i
\(88\) 0.579847 4.03293i 0.0618119 0.429911i
\(89\) 11.6806 + 7.50667i 1.23814 + 0.795705i 0.985139 0.171760i \(-0.0549455\pi\)
0.253003 + 0.967466i \(0.418582\pi\)
\(90\) 0.332406 + 0.383616i 0.0350386 + 0.0404367i
\(91\) −5.29450 −0.555015
\(92\) −1.81265 + 4.44008i −0.188981 + 0.462910i
\(93\) −15.7722 −1.63550
\(94\) 4.72793 + 5.45632i 0.487648 + 0.562776i
\(95\) 2.88074 + 1.85134i 0.295558 + 0.189943i
\(96\) −0.225294 + 1.56696i −0.0229940 + 0.159927i
\(97\) 3.04736 6.67279i 0.309412 0.677519i −0.689493 0.724292i \(-0.742167\pi\)
0.998906 + 0.0467735i \(0.0148939\pi\)
\(98\) −0.142315 0.989821i −0.0143760 0.0999871i
\(99\) −1.93081 0.566937i −0.194054 0.0569793i
\(100\) −3.31769 + 2.13215i −0.331769 + 0.213215i
\(101\) −2.74912 6.01973i −0.273547 0.598985i 0.722141 0.691746i \(-0.243158\pi\)
−0.995688 + 0.0927605i \(0.970431\pi\)
\(102\) 3.45626 1.01485i 0.342220 0.100485i
\(103\) −1.32656 + 1.53093i −0.130710 + 0.150847i −0.817331 0.576168i \(-0.804547\pi\)
0.686622 + 0.727015i \(0.259093\pi\)
\(104\) 3.46716 4.00132i 0.339983 0.392361i
\(105\) −1.56109 + 0.458376i −0.152346 + 0.0447329i
\(106\) 3.09832 + 6.78437i 0.300935 + 0.658956i
\(107\) −16.9137 + 10.8698i −1.63511 + 1.05082i −0.690136 + 0.723680i \(0.742449\pi\)
−0.944975 + 0.327142i \(0.893914\pi\)
\(108\) 5.30703 + 1.55828i 0.510669 + 0.149946i
\(109\) −1.43194 9.95939i −0.137155 0.953937i −0.935900 0.352266i \(-0.885411\pi\)
0.798744 0.601670i \(-0.205498\pi\)
\(110\) −1.73952 + 3.80903i −0.165857 + 0.363177i
\(111\) 0.441329 3.06951i 0.0418891 0.291345i
\(112\) 0.841254 + 0.540641i 0.0794910 + 0.0510858i
\(113\) −1.24471 1.43647i −0.117093 0.135132i 0.694177 0.719804i \(-0.255769\pi\)
−0.811270 + 0.584672i \(0.801223\pi\)
\(114\) 5.27462 0.494014
\(115\) 3.07310 3.85357i 0.286568 0.359348i
\(116\) −0.572618 −0.0531662
\(117\) −1.71241 1.97623i −0.158313 0.182702i
\(118\) −3.53001 2.26860i −0.324964 0.208842i
\(119\) 0.323828 2.25227i 0.0296853 0.206466i
\(120\) 0.675876 1.47996i 0.0616988 0.135101i
\(121\) −0.797064 5.54370i −0.0724603 0.503973i
\(122\) 6.41620 + 1.88397i 0.580895 + 0.170566i
\(123\) 7.90987 5.08336i 0.713209 0.458351i
\(124\) −4.13881 9.06273i −0.371676 0.813857i
\(125\) 8.81955 2.58965i 0.788844 0.231626i
\(126\) 0.323432 0.373261i 0.0288136 0.0332527i
\(127\) −5.43243 + 6.26935i −0.482050 + 0.556315i −0.943724 0.330735i \(-0.892704\pi\)
0.461674 + 0.887050i \(0.347249\pi\)
\(128\) −0.959493 + 0.281733i −0.0848080 + 0.0249019i
\(129\) −7.19053 15.7451i −0.633091 1.38628i
\(130\) −4.57759 + 2.94184i −0.401481 + 0.258016i
\(131\) 16.0262 + 4.70571i 1.40021 + 0.411140i 0.892758 0.450537i \(-0.148768\pi\)
0.507456 + 0.861677i \(0.330586\pi\)
\(132\) 0.917938 + 6.38440i 0.0798962 + 0.555690i
\(133\) 1.38412 3.03080i 0.120019 0.262804i
\(134\) −0.449068 + 3.12333i −0.0387935 + 0.269815i
\(135\) −4.78213 3.07329i −0.411580 0.264507i
\(136\) 1.49009 + 1.71966i 0.127774 + 0.147460i
\(137\) −6.23224 −0.532456 −0.266228 0.963910i \(-0.585777\pi\)
−0.266228 + 0.963910i \(0.585777\pi\)
\(138\) 0.773021 7.55267i 0.0658039 0.642926i
\(139\) 5.47079 0.464026 0.232013 0.972713i \(-0.425469\pi\)
0.232013 + 0.972713i \(0.425469\pi\)
\(140\) −0.673030 0.776717i −0.0568814 0.0656446i
\(141\) −9.61498 6.17917i −0.809727 0.520380i
\(142\) 1.42778 9.93045i 0.119817 0.833345i
\(143\) 8.96129 19.6225i 0.749381 1.64092i
\(144\) 0.0702885 + 0.488867i 0.00585738 + 0.0407389i
\(145\) 0.564666 + 0.165801i 0.0468930 + 0.0137690i
\(146\) 7.73005 4.96780i 0.639744 0.411138i
\(147\) 0.657630 + 1.44001i 0.0542404 + 0.118770i
\(148\) 1.87955 0.551887i 0.154498 0.0453648i
\(149\) 7.87751 9.09114i 0.645351 0.744775i −0.334960 0.942232i \(-0.608723\pi\)
0.980311 + 0.197457i \(0.0632684\pi\)
\(150\) 4.08843 4.71830i 0.333819 0.385248i
\(151\) −11.8757 + 3.48703i −0.966434 + 0.283771i −0.726614 0.687046i \(-0.758907\pi\)
−0.239821 + 0.970817i \(0.577089\pi\)
\(152\) 1.38412 + 3.03080i 0.112267 + 0.245831i
\(153\) 0.945422 0.607586i 0.0764328 0.0491204i
\(154\) 3.90935 + 1.14789i 0.315025 + 0.0924996i
\(155\) 1.45723 + 10.1353i 0.117048 + 0.814084i
\(156\) −3.48183 + 7.62413i −0.278769 + 0.610419i
\(157\) −1.12802 + 7.84556i −0.0900259 + 0.626144i 0.893993 + 0.448081i \(0.147892\pi\)
−0.984019 + 0.178063i \(0.943017\pi\)
\(158\) 9.84052 + 6.32412i 0.782869 + 0.503120i
\(159\) −7.73201 8.92322i −0.613188 0.707657i
\(160\) 1.02774 0.0812503
\(161\) −4.13692 2.42608i −0.326035 0.191202i
\(162\) −7.27438 −0.571530
\(163\) 13.3731 + 15.4334i 1.04746 + 1.20884i 0.977423 + 0.211291i \(0.0677669\pi\)
0.0700390 + 0.997544i \(0.477688\pi\)
\(164\) 4.99654 + 3.21108i 0.390164 + 0.250743i
\(165\) 0.943405 6.56153i 0.0734440 0.510814i
\(166\) 6.21437 13.6076i 0.482329 1.05615i
\(167\) 1.06785 + 7.42705i 0.0826326 + 0.574722i 0.988507 + 0.151176i \(0.0483059\pi\)
−0.905874 + 0.423547i \(0.860785\pi\)
\(168\) −1.51894 0.446002i −0.117189 0.0344098i
\(169\) 12.6455 8.12678i 0.972732 0.625137i
\(170\) −0.971475 2.12723i −0.0745088 0.163151i
\(171\) 1.57895 0.463621i 0.120745 0.0354540i
\(172\) 7.16024 8.26336i 0.545964 0.630075i
\(173\) 8.16818 9.42658i 0.621015 0.716690i −0.354884 0.934910i \(-0.615480\pi\)
0.975900 + 0.218220i \(0.0700252\pi\)
\(174\) 0.869774 0.255389i 0.0659374 0.0193610i
\(175\) −1.63829 3.58735i −0.123843 0.271178i
\(176\) −3.42760 + 2.20279i −0.258365 + 0.166041i
\(177\) 6.37368 + 1.87148i 0.479075 + 0.140669i
\(178\) −1.97601 13.7434i −0.148108 1.03011i
\(179\) 8.38585 18.3625i 0.626788 1.37247i −0.283689 0.958916i \(-0.591558\pi\)
0.910478 0.413558i \(-0.135714\pi\)
\(180\) 0.0722386 0.502431i 0.00538435 0.0374490i
\(181\) −7.27198 4.67342i −0.540522 0.347373i 0.241721 0.970346i \(-0.422288\pi\)
−0.782243 + 0.622973i \(0.785925\pi\)
\(182\) 3.46716 + 4.00132i 0.257003 + 0.296597i
\(183\) −10.5861 −0.782547
\(184\) 4.54262 1.53773i 0.334886 0.113363i
\(185\) −2.01325 −0.148017
\(186\) 10.3286 + 11.9198i 0.757330 + 0.874006i
\(187\) 7.79928 + 5.01229i 0.570340 + 0.366535i
\(188\) 1.02748 7.14626i 0.0749365 0.521194i
\(189\) −2.29769 + 5.03124i −0.167132 + 0.365969i
\(190\) −0.487335 3.38949i −0.0353550 0.245899i
\(191\) −9.12257 2.67863i −0.660086 0.193819i −0.0655023 0.997852i \(-0.520865\pi\)
−0.594584 + 0.804034i \(0.702683\pi\)
\(192\) 1.33176 0.855871i 0.0961116 0.0617672i
\(193\) 2.34078 + 5.12559i 0.168493 + 0.368948i 0.974976 0.222309i \(-0.0713593\pi\)
−0.806483 + 0.591257i \(0.798632\pi\)
\(194\) −7.03855 + 2.06671i −0.505339 + 0.148381i
\(195\) 5.64104 6.51010i 0.403963 0.466198i
\(196\) −0.654861 + 0.755750i −0.0467758 + 0.0539821i
\(197\) −1.70473 + 0.500554i −0.121457 + 0.0356630i −0.341896 0.939738i \(-0.611069\pi\)
0.220439 + 0.975401i \(0.429251\pi\)
\(198\) 0.835949 + 1.83047i 0.0594083 + 0.130086i
\(199\) 1.92183 1.23509i 0.136235 0.0875530i −0.470748 0.882268i \(-0.656016\pi\)
0.606983 + 0.794715i \(0.292380\pi\)
\(200\) 3.78399 + 1.11108i 0.267569 + 0.0785652i
\(201\) −0.710905 4.94445i −0.0501433 0.348755i
\(202\) −2.74912 + 6.01973i −0.193427 + 0.423547i
\(203\) 0.0814920 0.566789i 0.00571962 0.0397808i
\(204\) −3.03034 1.94748i −0.212166 0.136351i
\(205\) −3.99739 4.61324i −0.279190 0.322202i
\(206\) 2.02571 0.141138
\(207\) −0.432451 2.32882i −0.0300574 0.161864i
\(208\) −5.29450 −0.367108
\(209\) 8.89005 + 10.2597i 0.614938 + 0.709676i
\(210\) 1.36871 + 0.879617i 0.0944500 + 0.0606993i
\(211\) −3.22643 + 22.4403i −0.222117 + 1.54485i 0.507894 + 0.861419i \(0.330424\pi\)
−0.730011 + 0.683435i \(0.760485\pi\)
\(212\) 3.09832 6.78437i 0.212793 0.465952i
\(213\) 2.26028 + 15.7206i 0.154872 + 1.07716i
\(214\) 19.2910 + 5.66434i 1.31870 + 0.387206i
\(215\) −9.45346 + 6.07537i −0.644721 + 0.414337i
\(216\) −2.29769 5.03124i −0.156338 0.342333i
\(217\) 9.55950 2.80692i 0.648941 0.190546i
\(218\) −6.58908 + 7.60421i −0.446269 + 0.515022i
\(219\) −9.52586 + 10.9934i −0.643698 + 0.742867i
\(220\) 4.01782 1.17974i 0.270881 0.0795379i
\(221\) 5.00463 + 10.9586i 0.336648 + 0.737156i
\(222\) −2.60879 + 1.67657i −0.175091 + 0.112524i
\(223\) −0.277502 0.0814819i −0.0185829 0.00545643i 0.272428 0.962176i \(-0.412173\pi\)
−0.291011 + 0.956720i \(0.593992\pi\)
\(224\) −0.142315 0.989821i −0.00950881 0.0661352i
\(225\) 0.809142 1.77177i 0.0539428 0.118118i
\(226\) −0.270502 + 1.88138i −0.0179935 + 0.125148i
\(227\) −11.2986 7.26116i −0.749913 0.481940i 0.109012 0.994040i \(-0.465231\pi\)
−0.858926 + 0.512100i \(0.828868\pi\)
\(228\) −3.45414 3.98630i −0.228756 0.263999i
\(229\) −0.842339 −0.0556633 −0.0278317 0.999613i \(-0.508860\pi\)
−0.0278317 + 0.999613i \(0.508860\pi\)
\(230\) −4.92479 + 0.201064i −0.324731 + 0.0132577i
\(231\) −6.45005 −0.424382
\(232\) 0.374985 + 0.432756i 0.0246190 + 0.0284118i
\(233\) −19.9137 12.7977i −1.30459 0.838408i −0.310884 0.950448i \(-0.600625\pi\)
−0.993704 + 0.112040i \(0.964262\pi\)
\(234\) −0.372143 + 2.58831i −0.0243277 + 0.169203i
\(235\) −3.08240 + 6.74952i −0.201074 + 0.440290i
\(236\) 0.597172 + 4.15342i 0.0388726 + 0.270365i
\(237\) −17.7678 5.21708i −1.15414 0.338886i
\(238\) −1.91422 + 1.23019i −0.124080 + 0.0797416i
\(239\) 3.42132 + 7.49165i 0.221307 + 0.484595i 0.987422 0.158109i \(-0.0505398\pi\)
−0.766115 + 0.642704i \(0.777813\pi\)
\(240\) −1.56109 + 0.458376i −0.100768 + 0.0295880i
\(241\) 15.6524 18.0639i 1.00826 1.16360i 0.0217726 0.999763i \(-0.493069\pi\)
0.986488 0.163832i \(-0.0523855\pi\)
\(242\) −3.66768 + 4.23273i −0.235768 + 0.272090i
\(243\) −4.87170 + 1.43046i −0.312520 + 0.0917641i
\(244\) −2.77791 6.08278i −0.177837 0.389410i
\(245\) 0.864594 0.555641i 0.0552369 0.0354986i
\(246\) −9.02161 2.64898i −0.575197 0.168893i
\(247\) 2.51054 + 17.4612i 0.159742 + 1.11103i
\(248\) −4.13881 + 9.06273i −0.262815 + 0.575484i
\(249\) −3.37027 + 23.4408i −0.213582 + 1.48550i
\(250\) −7.73270 4.96951i −0.489059 0.314299i
\(251\) −0.509182 0.587628i −0.0321393 0.0370907i 0.739452 0.673209i \(-0.235085\pi\)
−0.771592 + 0.636118i \(0.780539\pi\)
\(252\) −0.493895 −0.0311124
\(253\) 15.9936 11.2260i 1.00551 0.705770i
\(254\) 8.29554 0.520509
\(255\) 2.42437 + 2.79787i 0.151820 + 0.175209i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) 0.182604 1.27004i 0.0113905 0.0792228i −0.983333 0.181812i \(-0.941804\pi\)
0.994724 + 0.102589i \(0.0327128\pi\)
\(258\) −7.19053 + 15.7451i −0.447663 + 0.980245i
\(259\) 0.278781 + 1.93896i 0.0173226 + 0.120481i
\(260\) 5.22098 + 1.53302i 0.323791 + 0.0950738i
\(261\) 0.237917 0.152900i 0.0147267 0.00946428i
\(262\) −6.93858 15.1934i −0.428667 0.938649i
\(263\) −24.4335 + 7.17432i −1.50663 + 0.442387i −0.927806 0.373063i \(-0.878307\pi\)
−0.578827 + 0.815450i \(0.696489\pi\)
\(264\) 4.22388 4.87462i 0.259962 0.300012i
\(265\) −5.01970 + 5.79304i −0.308358 + 0.355864i
\(266\) −3.19693 + 0.938705i −0.196017 + 0.0575557i
\(267\) 9.13104 + 19.9942i 0.558811 + 1.22362i
\(268\) 2.65453 1.70597i 0.162151 0.104208i
\(269\) 15.7739 + 4.63164i 0.961753 + 0.282396i 0.724672 0.689094i \(-0.241991\pi\)
0.237081 + 0.971490i \(0.423809\pi\)
\(270\) 0.808993 + 5.62667i 0.0492338 + 0.342428i
\(271\) −0.0478999 + 0.104886i −0.00290971 + 0.00637137i −0.911081 0.412227i \(-0.864751\pi\)
0.908172 + 0.418598i \(0.137478\pi\)
\(272\) 0.323828 2.25227i 0.0196350 0.136564i
\(273\) −7.05102 4.53141i −0.426747 0.274254i
\(274\) 4.08125 + 4.71001i 0.246557 + 0.284542i
\(275\) 16.0684 0.968959
\(276\) −6.21415 + 4.36174i −0.374048 + 0.262546i
\(277\) −29.6543 −1.78175 −0.890877 0.454244i \(-0.849909\pi\)
−0.890877 + 0.454244i \(0.849909\pi\)
\(278\) −3.58260 4.13455i −0.214870 0.247974i
\(279\) 4.13956 + 2.66033i 0.247829 + 0.159270i
\(280\) −0.146263 + 1.01728i −0.00874090 + 0.0607943i
\(281\) 8.99448 19.6952i 0.536566 1.17492i −0.426212 0.904623i \(-0.640152\pi\)
0.962778 0.270292i \(-0.0871203\pi\)
\(282\) 1.62657 + 11.3130i 0.0968606 + 0.673680i
\(283\) −11.2572 3.30542i −0.669174 0.196487i −0.0705386 0.997509i \(-0.522472\pi\)
−0.598635 + 0.801022i \(0.704290\pi\)
\(284\) −8.43994 + 5.42402i −0.500818 + 0.321856i
\(285\) 2.25195 + 4.93108i 0.133394 + 0.292092i
\(286\) −20.6981 + 6.07751i −1.22390 + 0.359371i
\(287\) −3.88948 + 4.48870i −0.229589 + 0.264960i
\(288\) 0.323432 0.373261i 0.0190584 0.0219946i
\(289\) 11.3435 3.33075i 0.667265 0.195927i
\(290\) −0.244474 0.535323i −0.0143560 0.0314352i
\(291\) 9.76940 6.27841i 0.572693 0.368047i
\(292\) −8.81652 2.58876i −0.515948 0.151496i
\(293\) 2.61100 + 18.1599i 0.152536 + 1.06091i 0.911949 + 0.410303i \(0.134577\pi\)
−0.759413 + 0.650609i \(0.774514\pi\)
\(294\) 0.657630 1.44001i 0.0383538 0.0839831i
\(295\) 0.613740 4.26866i 0.0357333 0.248531i
\(296\) −1.64793 1.05906i −0.0957842 0.0615568i
\(297\) −14.7578 17.0314i −0.856335 0.988263i
\(298\) −12.0293 −0.696839
\(299\) 25.3704 1.03579i 1.46721 0.0599015i
\(300\) −6.24321 −0.360452
\(301\) 7.16024 + 8.26336i 0.412710 + 0.476292i
\(302\) 10.4123 + 6.69157i 0.599160 + 0.385056i
\(303\) 1.49094 10.3697i 0.0856524 0.595726i
\(304\) 1.38412 3.03080i 0.0793848 0.173828i
\(305\) 0.978073 + 6.80265i 0.0560043 + 0.389519i
\(306\) −1.07830 0.316618i −0.0616424 0.0180999i
\(307\) 20.6845 13.2931i 1.18052 0.758677i 0.205042 0.978753i \(-0.434267\pi\)
0.975483 + 0.220076i \(0.0706305\pi\)
\(308\) −1.69257 3.70620i −0.0964429 0.211180i
\(309\) −3.07694 + 0.903470i −0.175041 + 0.0513966i
\(310\) 6.70544 7.73849i 0.380843 0.439517i
\(311\) −2.91401 + 3.36295i −0.165238 + 0.190695i −0.832330 0.554280i \(-0.812994\pi\)
0.667092 + 0.744976i \(0.267539\pi\)
\(312\) 8.04205 2.36136i 0.455291 0.133686i
\(313\) 3.07203 + 6.72681i 0.173641 + 0.380222i 0.976365 0.216130i \(-0.0693436\pi\)
−0.802723 + 0.596352i \(0.796616\pi\)
\(314\) 6.66798 4.28525i 0.376296 0.241831i
\(315\) 0.487036 + 0.143007i 0.0274414 + 0.00805752i
\(316\) −1.66472 11.5784i −0.0936478 0.651335i
\(317\) 5.26594 11.5308i 0.295764 0.647634i −0.702161 0.712019i \(-0.747781\pi\)
0.997925 + 0.0643847i \(0.0205085\pi\)
\(318\) −1.68033 + 11.6869i −0.0942280 + 0.655370i
\(319\) 1.96271 + 1.26135i 0.109890 + 0.0706223i
\(320\) −0.673030 0.776717i −0.0376235 0.0434198i
\(321\) −31.8282 −1.77648
\(322\) 0.875594 + 4.71522i 0.0487950 + 0.262769i
\(323\) −7.58152 −0.421847
\(324\) 4.76371 + 5.49761i 0.264650 + 0.305423i
\(325\) 17.5655 + 11.2887i 0.974358 + 0.626182i
\(326\) 2.90625 20.2134i 0.160962 1.11952i
\(327\) 6.61695 14.4891i 0.365918 0.801249i
\(328\) −0.845265 5.87895i −0.0466719 0.324610i
\(329\) 6.92729 + 2.03404i 0.381914 + 0.112140i
\(330\) −5.57667 + 3.58391i −0.306986 + 0.197288i
\(331\) −0.215571 0.472034i −0.0118488 0.0259453i 0.903615 0.428345i \(-0.140903\pi\)
−0.915464 + 0.402400i \(0.868176\pi\)
\(332\) −14.3535 + 4.21456i −0.787749 + 0.231304i
\(333\) −0.633572 + 0.731181i −0.0347195 + 0.0400685i
\(334\) 4.91370 5.67071i 0.268866 0.310287i
\(335\) −3.11163 + 0.913658i −0.170007 + 0.0499185i
\(336\) 0.657630 + 1.44001i 0.0358767 + 0.0785590i
\(337\) −5.03765 + 3.23750i −0.274418 + 0.176358i −0.670611 0.741810i \(-0.733968\pi\)
0.396192 + 0.918168i \(0.370331\pi\)
\(338\) −14.4229 4.23493i −0.784500 0.230350i
\(339\) −0.428223 2.97836i −0.0232579 0.161762i
\(340\) −0.971475 + 2.12723i −0.0526857 + 0.115365i
\(341\) −5.77706 + 40.1803i −0.312845 + 2.17589i
\(342\) −1.38437 0.889682i −0.0748583 0.0481085i
\(343\) −0.654861 0.755750i −0.0353592 0.0408066i
\(344\) −10.9340 −0.589522
\(345\) 7.39080 2.50187i 0.397907 0.134696i
\(346\) −12.4732 −0.670561
\(347\) −14.8409 17.1274i −0.796703 0.919445i 0.201492 0.979490i \(-0.435421\pi\)
−0.998196 + 0.0600454i \(0.980875\pi\)
\(348\) −0.762591 0.490087i −0.0408791 0.0262714i
\(349\) −3.27218 + 22.7585i −0.175156 + 1.21823i 0.692629 + 0.721294i \(0.256452\pi\)
−0.867785 + 0.496940i \(0.834457\pi\)
\(350\) −1.63829 + 3.58735i −0.0875702 + 0.191752i
\(351\) −4.16759 28.9862i −0.222449 1.54717i
\(352\) 3.90935 + 1.14789i 0.208369 + 0.0611828i
\(353\) 13.0806 8.40636i 0.696208 0.447425i −0.144080 0.989566i \(-0.546022\pi\)
0.840288 + 0.542141i \(0.182386\pi\)
\(354\) −2.75950 6.04247i −0.146666 0.321154i
\(355\) 9.89326 2.90492i 0.525079 0.154177i
\(356\) −9.09258 + 10.4934i −0.481906 + 0.556149i
\(357\) 2.35892 2.72234i 0.124847 0.144081i
\(358\) −19.3690 + 5.68725i −1.02368 + 0.300580i
\(359\) −12.8602 28.1599i −0.678736 1.48623i −0.863977 0.503532i \(-0.832034\pi\)
0.185240 0.982693i \(-0.440694\pi\)
\(360\) −0.427018 + 0.274428i −0.0225058 + 0.0144636i
\(361\) 7.57850 + 2.22525i 0.398869 + 0.117118i
\(362\) 1.23020 + 8.55624i 0.0646579 + 0.449706i
\(363\) 3.68320 8.06507i 0.193318 0.423307i
\(364\) 0.753486 5.24061i 0.0394934 0.274683i
\(365\) 7.94452 + 5.10563i 0.415835 + 0.267241i
\(366\) 6.93242 + 8.00044i 0.362363 + 0.418189i
\(367\) −8.23517 −0.429873 −0.214936 0.976628i \(-0.568954\pi\)
−0.214936 + 0.976628i \(0.568954\pi\)
\(368\) −4.13692 2.42608i −0.215652 0.126468i
\(369\) −2.93344 −0.152709
\(370\) 1.31840 + 1.52151i 0.0685403 + 0.0790997i
\(371\) 6.27438 + 4.03230i 0.325749 + 0.209346i
\(372\) 2.24462 15.6117i 0.116378 0.809428i
\(373\) 6.55146 14.3457i 0.339222 0.742793i −0.660747 0.750608i \(-0.729761\pi\)
0.999969 + 0.00781576i \(0.00248786\pi\)
\(374\) −1.31940 9.17666i −0.0682248 0.474514i
\(375\) 13.9619 + 4.09960i 0.720992 + 0.211702i
\(376\) −6.07364 + 3.90329i −0.313224 + 0.201297i
\(377\) 1.25942 + 2.75776i 0.0648637 + 0.142032i
\(378\) 5.30703 1.55828i 0.272964 0.0801495i
\(379\) 12.1377 14.0077i 0.623472 0.719525i −0.352891 0.935665i \(-0.614801\pi\)
0.976362 + 0.216140i \(0.0693467\pi\)
\(380\) −2.24247 + 2.58794i −0.115036 + 0.132759i
\(381\) −12.6005 + 3.69983i −0.645541 + 0.189548i
\(382\) 3.94964 + 8.64851i 0.202081 + 0.442496i
\(383\) 10.9665 7.04775i 0.560362 0.360123i −0.229594 0.973287i \(-0.573740\pi\)
0.789956 + 0.613164i \(0.210103\pi\)
\(384\) −1.51894 0.446002i −0.0775132 0.0227599i
\(385\) 0.595935 + 4.14482i 0.0303716 + 0.211239i
\(386\) 2.34078 5.12559i 0.119142 0.260885i
\(387\) −0.768534 + 5.34527i −0.0390668 + 0.271716i
\(388\) 6.17118 + 3.96598i 0.313294 + 0.201342i
\(389\) −12.1028 13.9674i −0.613638 0.708176i 0.360848 0.932625i \(-0.382487\pi\)
−0.974486 + 0.224448i \(0.927942\pi\)
\(390\) −8.61410 −0.436192
\(391\) −1.11111 + 10.8559i −0.0561911 + 0.549006i
\(392\) 1.00000 0.0505076
\(393\) 17.3156 + 19.9832i 0.873455 + 1.00802i
\(394\) 1.49465 + 0.960556i 0.0752996 + 0.0483921i
\(395\) −1.71091 + 11.8996i −0.0860851 + 0.598735i
\(396\) 0.835949 1.83047i 0.0420080 0.0919847i
\(397\) −1.48434 10.3238i −0.0744967 0.518136i −0.992565 0.121714i \(-0.961161\pi\)
0.918068 0.396422i \(-0.129748\pi\)
\(398\) −2.19195 0.643614i −0.109872 0.0322615i
\(399\) 4.43730 2.85168i 0.222143 0.142762i
\(400\) −1.63829 3.58735i −0.0819145 0.179368i
\(401\) −6.90107 + 2.02634i −0.344623 + 0.101190i −0.449464 0.893299i \(-0.648385\pi\)
0.104841 + 0.994489i \(0.466567\pi\)
\(402\) −3.27122 + 3.77519i −0.163154 + 0.188289i
\(403\) −34.5436 + 39.8654i −1.72074 + 1.98584i
\(404\) 6.34970 1.86444i 0.315909 0.0927593i
\(405\) −3.10573 6.80060i −0.154325 0.337924i
\(406\) −0.481717 + 0.309581i −0.0239072 + 0.0153642i
\(407\) −7.65805 2.24861i −0.379595 0.111459i
\(408\) 0.512642 + 3.56550i 0.0253796 + 0.176519i
\(409\) −16.0597 + 35.1657i −0.794099 + 1.73883i −0.129572 + 0.991570i \(0.541360\pi\)
−0.664527 + 0.747264i \(0.731367\pi\)
\(410\) −0.868716 + 6.04205i −0.0429028 + 0.298396i
\(411\) −8.29986 5.33400i −0.409402 0.263107i
\(412\) −1.32656 1.53093i −0.0653548 0.0754235i
\(413\) −4.19613 −0.206478
\(414\) −1.47681 + 1.85188i −0.0725813 + 0.0910149i
\(415\) 15.3745 0.754703
\(416\) 3.46716 + 4.00132i 0.169992 + 0.196181i
\(417\) 7.28579 + 4.68229i 0.356786 + 0.229293i
\(418\) 1.93199 13.4373i 0.0944968 0.657240i
\(419\) 11.0364 24.1663i 0.539162 1.18060i −0.422501 0.906363i \(-0.638848\pi\)
0.961662 0.274237i \(-0.0884252\pi\)
\(420\) −0.231545 1.61043i −0.0112982 0.0785809i
\(421\) 26.7324 + 7.84935i 1.30286 + 0.382554i 0.858278 0.513185i \(-0.171535\pi\)
0.444581 + 0.895739i \(0.353353\pi\)
\(422\) 19.0721 12.2569i 0.928416 0.596657i
\(423\) 1.48128 + 3.24356i 0.0720225 + 0.157707i
\(424\) −7.15625 + 2.10126i −0.347538 + 0.102046i
\(425\) −5.87654 + 6.78189i −0.285054 + 0.328970i
\(426\) 10.4007 12.0030i 0.503914 0.581547i
\(427\) 6.41620 1.88397i 0.310502 0.0911715i
\(428\) −8.35208 18.2885i −0.403713 0.884008i
\(429\) 28.7286 18.4628i 1.38703 0.891391i
\(430\) 10.7822 + 3.16593i 0.519962 + 0.152675i
\(431\) −1.30395 9.06916i −0.0628090 0.436846i −0.996826 0.0796165i \(-0.974630\pi\)
0.934017 0.357230i \(-0.116279\pi\)
\(432\) −2.29769 + 5.03124i −0.110548 + 0.242066i
\(433\) 0.268360 1.86648i 0.0128966 0.0896975i −0.982357 0.187017i \(-0.940118\pi\)
0.995253 + 0.0973199i \(0.0310270\pi\)
\(434\) −8.38147 5.38644i −0.402323 0.258558i
\(435\) 0.610097 + 0.704089i 0.0292519 + 0.0337585i
\(436\) 10.0618 0.481873
\(437\) −6.03955 + 14.7939i −0.288911 + 0.707688i
\(438\) 14.5464 0.695053
\(439\) 2.65460 + 3.06357i 0.126697 + 0.146216i 0.815554 0.578681i \(-0.196433\pi\)
−0.688857 + 0.724898i \(0.741887\pi\)
\(440\) −3.52270 2.26390i −0.167938 0.107927i
\(441\) 0.0702885 0.488867i 0.00334707 0.0232794i
\(442\) 5.00463 10.9586i 0.238046 0.521248i
\(443\) 1.32508 + 9.21612i 0.0629563 + 0.437871i 0.996783 + 0.0801455i \(0.0255385\pi\)
−0.933827 + 0.357725i \(0.883552\pi\)
\(444\) 2.97546 + 0.873674i 0.141209 + 0.0414627i
\(445\) 12.0047 7.71494i 0.569076 0.365723i
\(446\) 0.120145 + 0.263081i 0.00568904 + 0.0124573i
\(447\) 18.2718 5.36509i 0.864227 0.253760i
\(448\) −0.654861 + 0.755750i −0.0309393 + 0.0357058i
\(449\) −4.72494 + 5.45287i −0.222984 + 0.257337i −0.856208 0.516632i \(-0.827186\pi\)
0.633224 + 0.773969i \(0.281731\pi\)
\(450\) −1.86889 + 0.548756i −0.0881005 + 0.0258686i
\(451\) −10.0528 22.0126i −0.473369 1.03653i
\(452\) 1.59899 1.02761i 0.0752104 0.0483348i
\(453\) −18.8001 5.52021i −0.883307 0.259362i
\(454\) 1.91138 + 13.2939i 0.0897056 + 0.623916i
\(455\) −2.26044 + 4.94967i −0.105971 + 0.232044i
\(456\) −0.750657 + 5.22094i −0.0351528 + 0.244493i
\(457\) 4.43608 + 2.85090i 0.207511 + 0.133359i 0.640269 0.768151i \(-0.278823\pi\)
−0.432758 + 0.901510i \(0.642459\pi\)
\(458\) 0.551615 + 0.636597i 0.0257753 + 0.0297462i
\(459\) 12.5856 0.587446
\(460\) 3.37700 + 3.59024i 0.157454 + 0.167396i
\(461\) −17.6258 −0.820916 −0.410458 0.911879i \(-0.634631\pi\)
−0.410458 + 0.911879i \(0.634631\pi\)
\(462\) 4.22388 + 4.87462i 0.196513 + 0.226788i
\(463\) 0.654465 + 0.420599i 0.0304156 + 0.0195469i 0.555760 0.831343i \(-0.312427\pi\)
−0.525345 + 0.850890i \(0.676064\pi\)
\(464\) 0.0814920 0.566789i 0.00378317 0.0263125i
\(465\) −6.73380 + 14.7450i −0.312272 + 0.683781i
\(466\) 3.36880 + 23.4305i 0.156056 + 1.08540i
\(467\) 1.56171 + 0.458559i 0.0722673 + 0.0212196i 0.317666 0.948203i \(-0.397101\pi\)
−0.245399 + 0.969422i \(0.578919\pi\)
\(468\) 2.19982 1.41374i 0.101687 0.0653499i
\(469\) 1.31082 + 2.87030i 0.0605281 + 0.132538i
\(470\) 7.11949 2.09047i 0.328398 0.0964262i
\(471\) −8.21705 + 9.48298i −0.378622 + 0.436953i
\(472\) 2.74788 3.17122i 0.126482 0.145967i
\(473\) −42.7449 + 12.5510i −1.96541 + 0.577097i
\(474\) 7.69259 + 16.8444i 0.353333 + 0.773690i
\(475\) −11.0542 + 7.10410i −0.507201 + 0.325959i
\(476\) 2.18326 + 0.641064i 0.100070 + 0.0293831i
\(477\) 0.524238 + 3.64615i 0.0240032 + 0.166946i
\(478\) 3.42132 7.49165i 0.156488 0.342660i
\(479\) 4.37139 30.4037i 0.199734 1.38918i −0.605322 0.795981i \(-0.706955\pi\)
0.805056 0.593199i \(-0.202135\pi\)
\(480\) 1.36871 + 0.879617i 0.0624728 + 0.0401488i
\(481\) −6.79183 7.83819i −0.309681 0.357391i
\(482\) −23.9019 −1.08870
\(483\) −3.43298 6.77164i −0.156206 0.308120i
\(484\) 5.60071 0.254578
\(485\) −4.93714 5.69777i −0.224184 0.258722i
\(486\) 4.27136 + 2.74504i 0.193753 + 0.124517i
\(487\) 5.94270 41.3324i 0.269290 1.87295i −0.185918 0.982565i \(-0.559526\pi\)
0.455208 0.890385i \(-0.349565\pi\)
\(488\) −2.77791 + 6.08278i −0.125750 + 0.275354i
\(489\) 4.60080 + 31.9992i 0.208055 + 1.44706i
\(490\) −0.986114 0.289549i −0.0445481 0.0130805i
\(491\) 18.9483 12.1774i 0.855126 0.549556i −0.0380436 0.999276i \(-0.512113\pi\)
0.893170 + 0.449720i \(0.148476\pi\)
\(492\) 3.90593 + 8.55279i 0.176093 + 0.385590i
\(493\) −1.25018 + 0.367085i −0.0563051 + 0.0165327i
\(494\) 11.5522 13.3320i 0.519760 0.599835i
\(495\) −1.35435 + 1.56301i −0.0608736 + 0.0702519i
\(496\) 9.55950 2.80692i 0.429234 0.126034i
\(497\) −4.16768 9.12595i −0.186946 0.409355i
\(498\) 19.9224 12.8034i 0.892744 0.573732i
\(499\) 36.6242 + 10.7538i 1.63952 + 0.481408i 0.966169 0.257911i \(-0.0830340\pi\)
0.673356 + 0.739319i \(0.264852\pi\)
\(500\) 1.30814 + 9.09832i 0.0585018 + 0.406889i
\(501\) −4.93448 + 10.8050i −0.220456 + 0.482732i
\(502\) −0.110656 + 0.769628i −0.00493881 + 0.0343502i
\(503\) −10.8328 6.96183i −0.483012 0.310413i 0.276378 0.961049i \(-0.410866\pi\)
−0.759390 + 0.650636i \(0.774502\pi\)
\(504\) 0.323432 + 0.373261i 0.0144068 + 0.0166263i
\(505\) −6.80137 −0.302657
\(506\) −18.9576 4.73570i −0.842767 0.210527i
\(507\) 23.7963 1.05683
\(508\) −5.43243 6.26935i −0.241025 0.278158i
\(509\) 8.31628 + 5.34455i 0.368613 + 0.236893i 0.711813 0.702369i \(-0.247875\pi\)
−0.343200 + 0.939262i \(0.611511\pi\)
\(510\) 0.526865 3.66443i 0.0233300 0.162264i
\(511\) 3.81714 8.35836i 0.168860 0.369752i
\(512\) −0.142315 0.989821i −0.00628949 0.0437443i
\(513\) 17.6825 + 5.19204i 0.780701 + 0.229234i
\(514\) −1.07941 + 0.693695i −0.0476108 + 0.0305976i
\(515\) 0.864857 + 1.89377i 0.0381102 + 0.0834496i
\(516\) 16.6081 4.87658i 0.731132 0.214680i
\(517\) −19.2635 + 22.2312i −0.847206 + 0.977727i
\(518\) 1.28281 1.48044i 0.0563634 0.0650468i
\(519\) 18.9460 5.56305i 0.831638 0.244191i
\(520\) −2.26044 4.94967i −0.0991267 0.217057i
\(521\) 1.78833 1.14929i 0.0783483 0.0503514i −0.500880 0.865517i \(-0.666990\pi\)
0.579228 + 0.815165i \(0.303354\pi\)
\(522\) −0.271357 0.0796776i −0.0118770 0.00348739i
\(523\) −1.55575 10.8204i −0.0680280 0.473145i −0.995149 0.0983822i \(-0.968633\pi\)
0.927121 0.374763i \(-0.122276\pi\)
\(524\) −6.93858 + 15.1934i −0.303113 + 0.663725i
\(525\) 0.888502 6.17967i 0.0387774 0.269703i
\(526\) 21.4225 + 13.7674i 0.934066 + 0.600288i
\(527\) −14.8459 17.1331i −0.646698 0.746329i
\(528\) −6.45005 −0.280702
\(529\) 20.2981 + 10.8161i 0.882526 + 0.470264i
\(530\) 7.66530 0.332959
\(531\) −1.35716 1.56625i −0.0588959 0.0679695i
\(532\) 2.80297 + 1.80136i 0.121524 + 0.0780989i
\(533\) 4.47526 31.1261i 0.193845 1.34822i
\(534\) 9.13104 19.9942i 0.395139 0.865233i
\(535\) 2.94068 + 20.4529i 0.127137 + 0.884255i
\(536\) −3.02763 0.888993i −0.130774 0.0383987i
\(537\) 26.8839 17.2772i 1.16012 0.745567i
\(538\) −6.82936 14.9542i −0.294435 0.644722i
\(539\) 3.90935 1.14789i 0.168388 0.0494431i
\(540\) 3.72258 4.29608i 0.160194 0.184874i
\(541\) 19.4039 22.3933i 0.834237 0.962761i −0.165488 0.986212i \(-0.552920\pi\)
0.999725 + 0.0234505i \(0.00746521\pi\)
\(542\) 0.110635 0.0324855i 0.00475219 0.00139537i
\(543\) −5.68470 12.4478i −0.243954 0.534185i
\(544\) −1.91422 + 1.23019i −0.0820714 + 0.0527441i
\(545\) −9.92208 2.91339i −0.425015 0.124796i
\(546\) 1.19282 + 8.29625i 0.0510480 + 0.355047i
\(547\) −10.2878 + 22.5272i −0.439876 + 0.963195i 0.551745 + 0.834013i \(0.313962\pi\)
−0.991621 + 0.129182i \(0.958765\pi\)
\(548\) 0.886941 6.16881i 0.0378882 0.263518i
\(549\) 2.77842 + 1.78558i 0.118580 + 0.0762067i
\(550\) −10.5225 12.1437i −0.448683 0.517807i
\(551\) −1.90791 −0.0812795
\(552\) 7.36579 + 1.84001i 0.313509 + 0.0783160i
\(553\) 11.6974 0.497426
\(554\) 19.4194 + 22.4112i 0.825053 + 0.952162i
\(555\) −2.68117 1.72308i −0.113809 0.0731409i
\(556\) −0.778574 + 5.41510i −0.0330189 + 0.229652i
\(557\) 0.325938 0.713705i 0.0138105 0.0302407i −0.902601 0.430478i \(-0.858345\pi\)
0.916412 + 0.400237i \(0.131072\pi\)
\(558\) −0.700289 4.87062i −0.0296456 0.206190i
\(559\) −55.5451 16.3095i −2.34931 0.689819i
\(560\) 0.864594 0.555641i 0.0365358 0.0234801i
\(561\) 6.09691 + 13.3504i 0.257412 + 0.563653i
\(562\) −20.7747 + 6.10002i −0.876330 + 0.257314i
\(563\) −9.89491 + 11.4193i −0.417021 + 0.481268i −0.924927 0.380145i \(-0.875874\pi\)
0.507906 + 0.861412i \(0.330420\pi\)
\(564\) 7.48463 8.63773i 0.315160 0.363714i
\(565\) −1.87433 + 0.550354i −0.0788538 + 0.0231536i
\(566\) 4.87385 + 10.6722i 0.204863 + 0.448588i
\(567\) −6.11960 + 3.93283i −0.256999 + 0.165163i
\(568\) 9.62618 + 2.82650i 0.403906 + 0.118597i
\(569\) 2.59086 + 18.0198i 0.108615 + 0.755431i 0.969227 + 0.246170i \(0.0791721\pi\)
−0.860612 + 0.509261i \(0.829919\pi\)
\(570\) 2.25195 4.93108i 0.0943238 0.206540i
\(571\) 6.40866 44.5732i 0.268194 1.86533i −0.197388 0.980325i \(-0.563246\pi\)
0.465582 0.885005i \(-0.345845\pi\)
\(572\) 18.1474 + 11.6627i 0.758783 + 0.487640i
\(573\) −9.85653 11.3750i −0.411763 0.475199i
\(574\) 5.93940 0.247906
\(575\) 8.55223 + 16.8695i 0.356653 + 0.703507i
\(576\) −0.493895 −0.0205789
\(577\) −16.7090 19.2832i −0.695604 0.802770i 0.292547 0.956251i \(-0.405497\pi\)
−0.988152 + 0.153481i \(0.950952\pi\)
\(578\) −9.94563 6.39167i −0.413684 0.265858i
\(579\) −1.26949 + 8.82946i −0.0527580 + 0.366940i
\(580\) −0.244474 + 0.535323i −0.0101512 + 0.0222281i
\(581\) −2.12895 14.8072i −0.0883237 0.614305i
\(582\) −11.1425 3.27174i −0.461872 0.135618i
\(583\) −25.5643 + 16.4292i −1.05877 + 0.680427i
\(584\) 3.81714 + 8.35836i 0.157954 + 0.345872i
\(585\) −2.57861 + 0.757149i −0.106613 + 0.0313043i
\(586\) 12.0145 13.8655i 0.496314 0.572777i
\(587\) 19.0076 21.9360i 0.784529 0.905395i −0.212899 0.977074i \(-0.568290\pi\)
0.997428 + 0.0716796i \(0.0228359\pi\)
\(588\) −1.51894 + 0.446002i −0.0626402 + 0.0183928i
\(589\) −13.7901 30.1961i −0.568211 1.24421i
\(590\) −3.62795 + 2.33154i −0.149360 + 0.0959880i
\(591\) −2.69871 0.792411i −0.111010 0.0325954i
\(592\) 0.278781 + 1.93896i 0.0114578 + 0.0796909i
\(593\) −9.85777 + 21.5855i −0.404810 + 0.886411i 0.591950 + 0.805975i \(0.298358\pi\)
−0.996760 + 0.0804357i \(0.974369\pi\)
\(594\) −3.20718 + 22.3064i −0.131592 + 0.915243i
\(595\) −1.96733 1.26432i −0.0806525 0.0518322i
\(596\) 7.87751 + 9.09114i 0.322676 + 0.372387i
\(597\) 3.61650 0.148013
\(598\) −17.3969 18.4954i −0.711411 0.756332i
\(599\) −8.37113 −0.342035 −0.171018 0.985268i \(-0.554705\pi\)
−0.171018 + 0.985268i \(0.554705\pi\)
\(600\) 4.08843 + 4.71830i 0.166910 + 0.192624i
\(601\) 11.1225 + 7.14800i 0.453696 + 0.291573i 0.747462 0.664305i \(-0.231272\pi\)
−0.293766 + 0.955877i \(0.594909\pi\)
\(602\) 1.55607 10.8227i 0.0634207 0.441100i
\(603\) −0.647408 + 1.41763i −0.0263645 + 0.0577302i
\(604\) −1.76145 12.2511i −0.0716722 0.498491i
\(605\) −5.52293 1.62168i −0.224539 0.0659307i
\(606\) −8.81328 + 5.66395i −0.358015 + 0.230082i
\(607\) −2.93496 6.42667i −0.119126 0.260851i 0.840670 0.541548i \(-0.182162\pi\)
−0.959796 + 0.280697i \(0.909434\pi\)
\(608\) −3.19693 + 0.938705i −0.129653 + 0.0380695i
\(609\) 0.593627 0.685082i 0.0240550 0.0277609i
\(610\) 4.50060 5.19397i 0.182224 0.210298i
\(611\) −36.6766 + 10.7692i −1.48378 + 0.435676i
\(612\) 0.466854 + 1.02227i 0.0188714 + 0.0413227i
\(613\) −31.4214 + 20.1933i −1.26910 + 0.815600i −0.989502 0.144518i \(-0.953837\pi\)
−0.279596 + 0.960118i \(0.590201\pi\)
\(614\) −23.5917 6.92715i −0.952083 0.279557i
\(615\) −1.37524 9.56498i −0.0554549 0.385697i
\(616\) −1.69257 + 3.70620i −0.0681954 + 0.149327i
\(617\) 1.06838 7.43077i 0.0430115 0.299152i −0.956949 0.290256i \(-0.906259\pi\)
0.999960 0.00889524i \(-0.00283148\pi\)
\(618\) 2.69776 + 1.73375i 0.108520 + 0.0697415i
\(619\) 23.9067 + 27.5898i 0.960891 + 1.10893i 0.993990 + 0.109475i \(0.0349170\pi\)
−0.0330987 + 0.999452i \(0.510538\pi\)
\(620\) −10.2395 −0.411228
\(621\) 10.0259 24.5584i 0.402325 0.985495i
\(622\) 4.44982 0.178422
\(623\) −9.09258 10.4934i −0.364287 0.420409i
\(624\) −7.05102 4.53141i −0.282267 0.181402i
\(625\) −1.46183 + 10.1672i −0.0584732 + 0.406690i
\(626\) 3.07203 6.72681i 0.122783 0.268857i
\(627\) 3.05848 + 21.2722i 0.122144 + 0.849529i
\(628\) −7.60517 2.23308i −0.303479 0.0891096i
\(629\) 3.74977 2.40983i 0.149513 0.0960862i
\(630\) −0.210864 0.461727i −0.00840101 0.0183956i
\(631\) 34.4292 10.1093i 1.37060 0.402446i 0.488116 0.872779i \(-0.337684\pi\)
0.882489 + 0.470333i \(0.155866\pi\)
\(632\) −7.66020 + 8.84034i −0.304706 + 0.351650i
\(633\) −23.5029 + 27.1237i −0.934155 + 1.07807i
\(634\) −12.1628 + 3.57133i −0.483048 + 0.141836i
\(635\) 3.54170 + 7.75525i 0.140548 + 0.307758i
\(636\) 9.93277 6.38340i 0.393860 0.253118i
\(637\) 5.08004 + 1.49163i 0.201278 + 0.0591007i
\(638\) −0.332031 2.30932i −0.0131452 0.0914270i
\(639\) 2.05839 4.50726i 0.0814288 0.178304i
\(640\) −0.146263 + 1.01728i −0.00578156 + 0.0402117i
\(641\) −5.35093 3.43884i −0.211349 0.135826i 0.430684 0.902503i \(-0.358272\pi\)
−0.642033 + 0.766677i \(0.721909\pi\)
\(642\) 20.8430 + 24.0541i 0.822609 + 0.949341i
\(643\) −7.88681 −0.311025 −0.155513 0.987834i \(-0.549703\pi\)
−0.155513 + 0.987834i \(0.549703\pi\)
\(644\) 2.99014 3.74954i 0.117828 0.147753i
\(645\) −17.7895 −0.700461
\(646\) 4.96484 + 5.72973i 0.195339 + 0.225433i
\(647\) −37.7615 24.2678i −1.48456 0.954067i −0.996703 0.0811421i \(-0.974143\pi\)
−0.487855 0.872925i \(-0.662220\pi\)
\(648\) 1.03525 7.20034i 0.0406686 0.282856i
\(649\) 7.10223 15.5517i 0.278787 0.610458i
\(650\) −2.97155 20.6676i −0.116554 0.810651i
\(651\) 15.1333 + 4.44355i 0.593122 + 0.174156i
\(652\) −17.1795 + 11.0406i −0.672800 + 0.432383i
\(653\) 11.7291 + 25.6832i 0.458997 + 1.00506i 0.987715 + 0.156265i \(0.0499455\pi\)
−0.528718 + 0.848797i \(0.677327\pi\)
\(654\) −15.2833 + 4.48758i −0.597625 + 0.175478i
\(655\) 11.2415 12.9733i 0.439240 0.506910i
\(656\) −3.88948 + 4.48870i −0.151859 + 0.175254i
\(657\) 4.35443 1.27858i 0.169883 0.0498820i
\(658\) −2.99919 6.56731i −0.116921 0.256020i
\(659\) −26.9244 + 17.3033i −1.04883 + 0.674040i −0.947154 0.320778i \(-0.896056\pi\)
−0.101672 + 0.994818i \(0.532419\pi\)
\(660\) 6.36048 + 1.86761i 0.247581 + 0.0726964i
\(661\) 6.47938 + 45.0651i 0.252019 + 1.75283i 0.586058 + 0.810269i \(0.300679\pi\)
−0.334039 + 0.942559i \(0.608412\pi\)
\(662\) −0.215571 + 0.472034i −0.00837839 + 0.0183461i
\(663\) −2.71419 + 18.8776i −0.105410 + 0.733144i
\(664\) 12.5847 + 8.08768i 0.488380 + 0.313863i
\(665\) −2.24247 2.58794i −0.0869591 0.100356i
\(666\) 0.967491 0.0374895
\(667\) −0.279612 + 2.73191i −0.0108266 + 0.105780i
\(668\) −7.50342 −0.290316
\(669\) −0.299829 0.346021i −0.0115920 0.0133779i
\(670\) 2.72818 + 1.75330i 0.105399 + 0.0677358i
\(671\) −3.87748 + 26.9685i −0.149688 + 1.04111i
\(672\) 0.657630 1.44001i 0.0253686 0.0555496i
\(673\) −2.13214 14.8294i −0.0821880 0.571630i −0.988752 0.149562i \(-0.952214\pi\)
0.906564 0.422068i \(-0.138696\pi\)
\(674\) 5.74570 + 1.68709i 0.221316 + 0.0649843i
\(675\) 18.3504 11.7931i 0.706306 0.453915i
\(676\) 6.24442 + 13.6734i 0.240170 + 0.525899i
\(677\) 34.6729 10.1809i 1.33259 0.391283i 0.463567 0.886062i \(-0.346569\pi\)
0.869019 + 0.494779i \(0.164751\pi\)
\(678\) −1.97046 + 2.27404i −0.0756752 + 0.0873339i
\(679\) −4.80386 + 5.54395i −0.184355 + 0.212757i
\(680\) 2.24384 0.658850i 0.0860472 0.0252658i
\(681\) −8.83240 19.3403i −0.338458 0.741121i
\(682\) 34.1494 21.9465i 1.30765 0.840375i
\(683\) 30.6416 + 8.99719i 1.17247 + 0.344268i 0.809266 0.587443i \(-0.199865\pi\)
0.363202 + 0.931710i \(0.381683\pi\)
\(684\) 0.234194 + 1.62886i 0.00895464 + 0.0622809i
\(685\) −2.66080 + 5.82633i −0.101664 + 0.222613i
\(686\) −0.142315 + 0.989821i −0.00543361 + 0.0377916i
\(687\) −1.12179 0.720934i −0.0427991 0.0275053i
\(688\) 7.16024 + 8.26336i 0.272982 + 0.315038i
\(689\) −39.4883 −1.50439
\(690\) −6.73073 3.94722i −0.256234 0.150268i
\(691\) −37.5642 −1.42901 −0.714505 0.699630i \(-0.753348\pi\)
−0.714505 + 0.699630i \(0.753348\pi\)
\(692\) 8.16818 + 9.42658i 0.310508 + 0.358345i
\(693\) 1.69287 + 1.08794i 0.0643069 + 0.0413276i
\(694\) −3.22524 + 22.4321i −0.122429 + 0.851510i
\(695\) 2.33570 5.11447i 0.0885982 0.194003i
\(696\) 0.129007 + 0.897266i 0.00489001 + 0.0340108i
\(697\) 12.9673 + 3.80754i 0.491171 + 0.144221i
\(698\) 19.3425 12.4307i 0.732126 0.470509i
\(699\) −15.5670 34.0871i −0.588800 1.28929i
\(700\) 3.78399 1.11108i 0.143021 0.0419949i
\(701\) −10.9086 + 12.5892i −0.412013 + 0.475488i −0.923387 0.383870i \(-0.874591\pi\)
0.511375 + 0.859358i \(0.329136\pi\)
\(702\) −19.1771 + 22.1316i −0.723794 + 0.835303i
\(703\) 6.26248 1.83883i 0.236194 0.0693528i
\(704\) −1.69257 3.70620i −0.0637910 0.139683i
\(705\) −9.88174 + 6.35061i −0.372168 + 0.239178i
\(706\) −14.9190 4.38063i −0.561486 0.164867i
\(707\) 0.941806 + 6.55040i 0.0354203 + 0.246353i
\(708\) −2.75950 + 6.04247i −0.103708 + 0.227090i
\(709\) −3.57173 + 24.8419i −0.134139 + 0.932957i 0.805939 + 0.591998i \(0.201661\pi\)
−0.940078 + 0.340959i \(0.889248\pi\)
\(710\) −8.67410 5.57450i −0.325533 0.209207i
\(711\) 3.78333 + 4.36619i 0.141886 + 0.163745i
\(712\) 13.8848 0.520353
\(713\) −45.2584 + 15.3205i −1.69494 + 0.573757i
\(714\) −3.60217 −0.134808
\(715\) −14.5185 16.7553i −0.542962 0.626612i
\(716\) 16.9821 + 10.9137i 0.634652 + 0.407866i
\(717\) −1.85550 + 12.9053i −0.0692950 + 0.481958i
\(718\) −12.8602 + 28.1599i −0.479939 + 1.05092i
\(719\) 1.16947 + 8.13382i 0.0436138 + 0.303340i 0.999939 + 0.0110360i \(0.00351295\pi\)
−0.956325 + 0.292304i \(0.905578\pi\)
\(720\) 0.487036 + 0.143007i 0.0181508 + 0.00532955i
\(721\) 1.70414 1.09518i 0.0634653 0.0407867i
\(722\) −3.28113 7.18468i −0.122111 0.267386i
\(723\) 36.3056 10.6603i 1.35022 0.396461i
\(724\) 5.66076 6.53287i 0.210381 0.242792i
\(725\) −1.47884 + 1.70668i −0.0549229 + 0.0633844i
\(726\) −8.50716 + 2.49793i −0.315730 + 0.0927067i
\(727\) −1.25075 2.73876i −0.0463878 0.101575i 0.885019 0.465555i \(-0.154145\pi\)
−0.931407 + 0.363979i \(0.881418\pi\)
\(728\) −4.45402 + 2.86242i −0.165077 + 0.106088i
\(729\) −28.6514 8.41281i −1.06116 0.311586i
\(730\) −1.34397 9.34754i −0.0497427 0.345968i
\(731\) 10.3354 22.6313i 0.382267 0.837048i
\(732\) 1.50656 10.4783i 0.0556840 0.387291i
\(733\) 43.9936 + 28.2730i 1.62494 + 1.04429i 0.952681 + 0.303973i \(0.0983132\pi\)
0.672261 + 0.740314i \(0.265323\pi\)
\(734\) 5.39289 + 6.22373i 0.199055 + 0.229722i
\(735\) 1.62699 0.0600124
\(736\) 0.875594 + 4.71522i 0.0322748 + 0.173805i
\(737\) −12.8566 −0.473577
\(738\) 1.92099 + 2.21694i 0.0707127 + 0.0816068i
\(739\) 29.6758 + 19.0715i 1.09164 + 0.701557i 0.957218 0.289367i \(-0.0934448\pi\)
0.134425 + 0.990924i \(0.457081\pi\)
\(740\) 0.286516 1.99276i 0.0105325 0.0732553i
\(741\) −11.6011 + 25.4028i −0.426177 + 0.933197i
\(742\) −1.06144 7.38245i −0.0389666 0.271018i
\(743\) −16.4852 4.84050i −0.604785 0.177581i −0.0350171 0.999387i \(-0.511149\pi\)
−0.569768 + 0.821806i \(0.692967\pi\)
\(744\) −13.2684 + 8.52711i −0.486444 + 0.312619i
\(745\) −5.13579 11.2458i −0.188161 0.412015i
\(746\) −15.1321 + 4.44317i −0.554024 + 0.162676i
\(747\) 4.83836 5.58377i 0.177026 0.204299i
\(748\) −6.07123 + 7.00657i −0.221986 + 0.256186i
\(749\) 19.2910 5.66434i 0.704877 0.206970i
\(750\) −6.04486 13.2364i −0.220727 0.483325i
\(751\) −30.3308 + 19.4924i −1.10679 + 0.711288i −0.960590 0.277968i \(-0.910339\pi\)
−0.146196 + 0.989256i \(0.546703\pi\)
\(752\) 6.92729 + 2.03404i 0.252612 + 0.0741737i
\(753\) −0.175176 1.21837i −0.00638376 0.0444000i
\(754\) 1.25942 2.75776i 0.0458655 0.100432i
\(755\) −1.81032 + 12.5910i −0.0658842 + 0.458234i
\(756\) −4.65304 2.99032i −0.169229 0.108757i
\(757\) −18.0991 20.8875i −0.657824 0.759170i 0.324596 0.945853i \(-0.394772\pi\)
−0.982420 + 0.186683i \(0.940226\pi\)
\(758\) −18.5348 −0.673214
\(759\) 30.9076 1.26186i 1.12187 0.0458026i
\(760\) 3.42434 0.124214
\(761\) −25.5849 29.5266i −0.927454 1.07034i −0.997348 0.0727842i \(-0.976812\pi\)
0.0698941 0.997554i \(-0.477734\pi\)
\(762\) 11.0477 + 7.09992i 0.400215 + 0.257203i
\(763\) −1.43194 + 9.95939i −0.0518399 + 0.360554i
\(764\) 3.94964 8.64851i 0.142893 0.312892i
\(765\) −0.164374 1.14325i −0.00594297 0.0413342i
\(766\) −12.5079 3.67264i −0.451928 0.132698i
\(767\) 18.6896 12.0111i 0.674844 0.433696i
\(768\) 0.657630 + 1.44001i 0.0237302 + 0.0519619i
\(769\) −44.6283 + 13.1041i −1.60934 + 0.472544i −0.958125 0.286351i \(-0.907558\pi\)
−0.651213 + 0.758895i \(0.725739\pi\)
\(770\) 2.74219 3.16466i 0.0988216 0.114046i
\(771\) 1.33017 1.53510i 0.0479051 0.0552854i
\(772\) −5.40654 + 1.58750i −0.194586 + 0.0571355i
\(773\) −1.08997 2.38669i −0.0392034 0.0858434i 0.889017 0.457874i \(-0.151389\pi\)
−0.928220 + 0.372031i \(0.878662\pi\)
\(774\) 4.54297 2.91959i 0.163294 0.104943i
\(775\) −37.7002 11.0698i −1.35423 0.397638i
\(776\) −1.04398 7.26103i −0.0374767 0.260656i
\(777\) −1.28823 + 2.82084i −0.0462151 + 0.101197i
\(778\) −2.63020 + 18.2934i −0.0942972 + 0.655851i
\(779\) 16.6480 + 10.6990i 0.596476 + 0.383332i
\(780\) 5.64104 + 6.51010i 0.201982 + 0.233099i
\(781\) 40.8767 1.46268
\(782\) 8.93196 6.26938i 0.319406 0.224193i
\(783\) 3.16719 0.113186
\(784\) −0.654861 0.755750i −0.0233879 0.0269911i
\(785\) 6.85298 + 4.40414i 0.244593 + 0.157191i
\(786\) 3.76303 26.1725i 0.134223 0.933541i
\(787\) −14.7595 + 32.3189i −0.526121 + 1.15204i 0.440949 + 0.897532i \(0.354642\pi\)
−0.967070 + 0.254512i \(0.918085\pi\)
\(788\) −0.252851 1.75862i −0.00900743 0.0626481i
\(789\) −38.6799 11.3574i −1.37704 0.404335i
\(790\) 10.1135 6.49958i 0.359823 0.231245i
\(791\) 0.789591 + 1.72896i 0.0280746 + 0.0614749i
\(792\) −1.93081 + 0.566937i −0.0686083 + 0.0201452i
\(793\) −23.1852 + 26.7571i −0.823329 + 0.950173i
\(794\) −6.83016 + 7.88243i −0.242393 + 0.279737i
\(795\) −11.6431 + 3.41874i −0.412940 + 0.121250i
\(796\) 0.949010 + 2.07804i 0.0336368 + 0.0736543i
\(797\) 21.6035 13.8837i 0.765234 0.491786i −0.0988696 0.995100i \(-0.531523\pi\)
0.864103 + 0.503315i \(0.167886\pi\)
\(798\) −5.06097 1.48603i −0.179156 0.0526050i
\(799\) −2.33796 16.2608i −0.0827110 0.575267i
\(800\) −1.63829 + 3.58735i −0.0579223 + 0.126832i
\(801\) 0.975939 6.78781i 0.0344831 0.239835i
\(802\) 6.05065 + 3.88851i 0.213656 + 0.137308i
\(803\) 24.5170 + 28.2942i 0.865187 + 0.998479i
\(804\) 4.99529 0.176170
\(805\) −4.03429 + 2.83169i −0.142190 + 0.0998038i
\(806\) 52.7495 1.85802
\(807\) 17.0430 + 19.6687i 0.599943 + 0.692371i
\(808\) −5.56722 3.57783i −0.195854 0.125868i
\(809\) 2.81659 19.5898i 0.0990260 0.688741i −0.878472 0.477794i \(-0.841436\pi\)
0.977498 0.210946i \(-0.0676545\pi\)
\(810\) −3.10573 + 6.80060i −0.109124 + 0.238949i
\(811\) 3.36905 + 23.4323i 0.118303 + 0.822818i 0.959423 + 0.281969i \(0.0909877\pi\)
−0.841120 + 0.540848i \(0.818103\pi\)
\(812\) 0.549423 + 0.161325i 0.0192810 + 0.00566140i
\(813\) −0.153560 + 0.0986871i −0.00538559 + 0.00346111i
\(814\) 3.31557 + 7.26009i 0.116211 + 0.254466i
\(815\) 20.1377 5.91297i 0.705393 0.207122i
\(816\) 2.35892 2.72234i 0.0825787 0.0953009i
\(817\) 23.8572 27.5327i 0.834658 0.963247i
\(818\) 37.0933 10.8916i 1.29694 0.380815i
\(819\) 1.08628 + 2.37862i 0.0379577 + 0.0831157i
\(820\) 5.13517 3.30017i 0.179328 0.115247i
\(821\) 2.70112 + 0.793121i 0.0942698 + 0.0276801i 0.328527 0.944494i \(-0.393448\pi\)
−0.234258 + 0.972175i \(0.575266\pi\)
\(822\) 1.40409 + 9.76564i 0.0489732 + 0.340616i
\(823\) 10.3070 22.5692i 0.359280 0.786713i −0.640544 0.767922i \(-0.721291\pi\)
0.999823 0.0187912i \(-0.00598178\pi\)
\(824\) −0.288289 + 2.00509i −0.0100430 + 0.0698506i
\(825\) 21.3992 + 13.7525i 0.745026 + 0.478799i
\(826\) 2.74788 + 3.17122i 0.0956110 + 0.110341i
\(827\) −18.4387 −0.641176 −0.320588 0.947219i \(-0.603880\pi\)
−0.320588 + 0.947219i \(0.603880\pi\)
\(828\) 2.36666 0.0966235i 0.0822472 0.00335790i
\(829\) 20.3691 0.707450 0.353725 0.935350i \(-0.384915\pi\)
0.353725 + 0.935350i \(0.384915\pi\)
\(830\) −10.0681 11.6193i −0.349470 0.403310i
\(831\) −39.4925 25.3803i −1.36998 0.880432i
\(832\) 0.753486 5.24061i 0.0261224 0.181686i
\(833\) −0.945250 + 2.06981i −0.0327510 + 0.0717146i
\(834\) −1.23254 8.57248i −0.0426792 0.296841i
\(835\) 7.39923 + 2.17261i 0.256061 + 0.0751862i
\(836\) −11.4204 + 7.33946i −0.394984 + 0.253840i
\(837\) 22.8921 + 50.1266i 0.791265 + 1.73263i
\(838\) −25.4909 + 7.48481i −0.880569 + 0.258559i
\(839\) 9.42024 10.8715i 0.325223 0.375327i −0.569468 0.822014i \(-0.692851\pi\)
0.894691 + 0.446687i \(0.147396\pi\)
\(840\) −1.06545 + 1.22960i −0.0367616 + 0.0424251i
\(841\) 27.5107 8.07787i 0.948644 0.278547i
\(842\) −11.5739 25.3432i −0.398862 0.873386i
\(843\) 28.8350 18.5312i 0.993132 0.638247i
\(844\) −21.7527 6.38718i −0.748760 0.219856i
\(845\) −2.19859 15.2916i −0.0756339 0.526045i
\(846\) 1.48128 3.24356i 0.0509276 0.111516i
\(847\) −0.797064 + 5.54370i −0.0273874 + 0.190484i
\(848\) 6.27438 + 4.03230i 0.215463 + 0.138470i
\(849\) −12.1629 14.0368i −0.417431 0.481741i
\(850\) 8.97373 0.307796
\(851\) −1.71520 9.23666i −0.0587964 0.316629i
\(852\) −15.8822 −0.544117
\(853\) −31.0303 35.8108i −1.06246 1.22614i −0.973159 0.230134i \(-0.926083\pi\)
−0.0892970 0.996005i \(-0.528462\pi\)
\(854\) −5.62552 3.61530i −0.192501 0.123713i
\(855\) 0.240692 1.67405i 0.00823149 0.0572513i
\(856\) −8.35208 + 18.2885i −0.285468 + 0.625088i
\(857\) −7.58353 52.7446i −0.259049 1.80172i −0.539641 0.841896i \(-0.681440\pi\)
0.280592 0.959827i \(-0.409469\pi\)
\(858\) −32.7665 9.62111i −1.11863 0.328459i
\(859\) −13.2117 + 8.49066i −0.450778 + 0.289697i −0.746265 0.665649i \(-0.768155\pi\)
0.295487 + 0.955347i \(0.404518\pi\)
\(860\) −4.66817 10.2219i −0.159183 0.348562i
\(861\) −9.02161 + 2.64898i −0.307456 + 0.0902771i
\(862\) −6.00011 + 6.92450i −0.204365 + 0.235849i
\(863\) −14.4910 + 16.7236i −0.493281 + 0.569276i −0.946739 0.322001i \(-0.895645\pi\)
0.453459 + 0.891277i \(0.350190\pi\)
\(864\) 5.30703 1.55828i 0.180549 0.0530139i
\(865\) −5.32530 11.6608i −0.181066 0.396478i
\(866\) −1.58633 + 1.01947i −0.0539058 + 0.0346432i
\(867\) 17.9575 + 5.27281i 0.609870 + 0.179074i
\(868\) 1.41789 + 9.86166i 0.0481264 + 0.334727i
\(869\) −19.7987 + 43.3531i −0.671625 + 1.47065i
\(870\) 0.132587 0.922161i 0.00449511 0.0312642i
\(871\) −14.0544 9.03224i −0.476216 0.306046i
\(872\) −6.58908 7.60421i −0.223134 0.257511i
\(873\) −3.62306 −0.122622
\(874\) 15.1356 5.12356i 0.511968 0.173307i
\(875\) −9.19188 −0.310742
\(876\) −9.52586 10.9934i −0.321849 0.371433i
\(877\) 45.0768 + 28.9691i 1.52213 + 0.978216i 0.991427 + 0.130661i \(0.0417101\pi\)
0.530707 + 0.847555i \(0.321926\pi\)
\(878\) 0.576899 4.01242i 0.0194694 0.135413i
\(879\) −12.0653 + 26.4193i −0.406952 + 0.891101i
\(880\) 0.595935 + 4.14482i 0.0200890 + 0.139722i
\(881\) 38.7559 + 11.3797i 1.30572 + 0.383393i 0.859319 0.511440i \(-0.170888\pi\)
0.446399 + 0.894834i \(0.352706\pi\)
\(882\) −0.415491 + 0.267020i −0.0139903 + 0.00899102i
\(883\) −14.3633 31.4512i −0.483363 1.05842i −0.981525 0.191334i \(-0.938719\pi\)
0.498162 0.867084i \(-0.334009\pi\)
\(884\) −11.5593 + 3.39412i −0.388781 + 0.114156i
\(885\) 4.47078 5.15955i 0.150283 0.173436i
\(886\) 6.09733 7.03670i 0.204844 0.236403i
\(887\) −38.9931 + 11.4494i −1.30926 + 0.384433i −0.860605 0.509272i \(-0.829915\pi\)
−0.448654 + 0.893706i \(0.648096\pi\)
\(888\) −1.28823 2.82084i −0.0432303 0.0946611i
\(889\) 6.97865 4.48491i 0.234057 0.150419i
\(890\) −13.6919 4.02032i −0.458955 0.134761i
\(891\) −4.21803 29.3370i −0.141309 0.982828i
\(892\) 0.120145 0.263081i 0.00402276 0.00880861i
\(893\) 3.42345 23.8106i 0.114561 0.796792i
\(894\) −16.0202 10.2955i −0.535794 0.344334i
\(895\) −13.5862 15.6794i −0.454138 0.524103i
\(896\) 1.00000 0.0334077
\(897\) 34.6738 + 20.3344i 1.15773 + 0.678945i
\(898\) 7.21518 0.240774
\(899\) −3.73600 4.31158i −0.124603 0.143799i
\(900\) 1.63859 + 1.05306i 0.0546196 + 0.0351019i
\(901\) 2.41523 16.7983i 0.0804630 0.559632i
\(902\) −10.0528 + 22.0126i −0.334722 + 0.732940i
\(903\) 2.46336 + 17.1331i 0.0819757 + 0.570153i
\(904\) −1.82374 0.535497i −0.0606565 0.0178104i
\(905\) −7.47374 + 4.80308i −0.248436 + 0.159660i
\(906\) 8.13956 + 17.8232i 0.270419 + 0.592135i
\(907\) −14.5587 + 4.27482i −0.483414 + 0.141943i −0.514354 0.857578i \(-0.671968\pi\)
0.0309397 + 0.999521i \(0.490150\pi\)
\(908\) 8.79521 10.1502i 0.291879 0.336847i
\(909\) −2.14040 + 2.47015i −0.0709925 + 0.0819297i
\(910\) 5.22098 1.53302i 0.173074 0.0508191i
\(911\) 12.2285 + 26.7767i 0.405148 + 0.887151i 0.996722 + 0.0809000i \(0.0257794\pi\)
−0.591574 + 0.806251i \(0.701493\pi\)
\(912\) 4.43730 2.85168i 0.146934 0.0944285i
\(913\) 58.4817 + 17.1718i 1.93546 + 0.568303i
\(914\) −0.750452 5.21951i −0.0248227 0.172646i
\(915\) −4.51963 + 9.89661i −0.149414 + 0.327172i
\(916\) 0.119877 0.833765i 0.00396086 0.0275484i
\(917\) −14.0513 9.03019i −0.464013 0.298203i
\(918\) −8.24182 9.51156i −0.272020 0.313928i
\(919\) 15.3834 0.507452 0.253726 0.967276i \(-0.418344\pi\)
0.253726 + 0.967276i \(0.418344\pi\)
\(920\) 0.501853 4.90327i 0.0165456 0.161656i
\(921\) 38.9240 1.28259
\(922\) 11.5425 + 13.3207i 0.380131 + 0.438694i
\(923\) 44.6853 + 28.7175i 1.47083 + 0.945247i
\(924\) 0.917938 6.38440i 0.0301979 0.210031i
\(925\) 3.20925 7.02728i 0.105519 0.231055i
\(926\) −0.110716 0.770046i −0.00363835 0.0253053i
\(927\) 0.959960 + 0.281870i 0.0315292 + 0.00925782i
\(928\) −0.481717 + 0.309581i −0.0158131 + 0.0101625i
\(929\) 6.56781 + 14.3815i 0.215483 + 0.471842i 0.986247 0.165279i \(-0.0528525\pi\)
−0.770764 + 0.637121i \(0.780125\pi\)
\(930\) 15.5532 4.56683i 0.510010 0.149752i
\(931\) −2.18193 + 2.51808i −0.0715099 + 0.0825268i
\(932\) 15.5015 17.8897i 0.507768 0.585996i
\(933\) −6.75902 + 1.98463i −0.221280 + 0.0649738i
\(934\) −0.676146 1.48055i −0.0221242 0.0484452i
\(935\) 8.01567 5.15136i 0.262140 0.168467i
\(936\) −2.50900 0.736710i −0.0820093 0.0240801i
\(937\) −1.59644 11.1035i −0.0521535 0.362736i −0.999140 0.0414625i \(-0.986798\pi\)
0.946987 0.321273i \(-0.104111\pi\)
\(938\) 1.31082 2.87030i 0.0427998 0.0937186i
\(939\) −1.66607 + 11.5878i −0.0543701 + 0.378152i
\(940\) −6.24215 4.01158i −0.203596 0.130843i
\(941\) −13.7291 15.8443i −0.447557 0.516508i 0.486476 0.873694i \(-0.338282\pi\)
−0.934034 + 0.357185i \(0.883736\pi\)
\(942\) 12.5478 0.408829
\(943\) 17.7596 22.2700i 0.578333 0.725212i
\(944\) −4.19613 −0.136572
\(945\) 3.72258 + 4.29608i 0.121095 + 0.139752i
\(946\) 37.4774 + 24.0852i 1.21849 + 0.783079i
\(947\) 5.99996 41.7306i 0.194972 1.35606i −0.623638 0.781713i \(-0.714346\pi\)
0.818610 0.574349i \(-0.194745\pi\)
\(948\) 7.69259 16.8444i 0.249844 0.547082i
\(949\) 6.92358 + 48.1546i 0.224749 + 1.56316i
\(950\) 12.6079 + 3.70201i 0.409054 + 0.120109i
\(951\) 16.8818 10.8493i 0.547431 0.351813i
\(952\) −0.945250 2.06981i −0.0306357 0.0670829i
\(953\) 18.7730 5.51224i 0.608116 0.178559i 0.0368459 0.999321i \(-0.488269\pi\)
0.571270 + 0.820762i \(0.306451\pi\)
\(954\) 2.41228 2.78391i 0.0781003 0.0901326i
\(955\) −6.39896 + 7.38480i −0.207066 + 0.238966i
\(956\) −7.90230 + 2.32033i −0.255579 + 0.0750447i
\(957\) 1.53430 + 3.35965i 0.0495968 + 0.108602i
\(958\) −25.8402 + 16.6065i −0.834860 + 0.536532i
\(959\) 5.97979 + 1.75583i 0.193098 + 0.0566986i
\(960\) −0.231545 1.61043i −0.00747308 0.0519764i
\(961\) 28.3574 62.0940i 0.914754 2.00303i
\(962\) −1.47601 + 10.2658i −0.0475883 + 0.330984i
\(963\) 8.35359 + 5.36853i 0.269191 + 0.172998i
\(964\) 15.6524 + 18.0639i 0.504130 + 0.581798i
\(965\) 5.79113 0.186423
\(966\) −2.86954 + 7.02895i −0.0923260 + 0.226153i
\(967\) 2.31973 0.0745976 0.0372988 0.999304i \(-0.488125\pi\)
0.0372988 + 0.999304i \(0.488125\pi\)
\(968\) −3.66768 4.23273i −0.117884 0.136045i
\(969\) −10.0968 6.48881i −0.324355 0.208451i
\(970\) −1.07294 + 7.46249i −0.0344501 + 0.239606i
\(971\) 12.6015 27.5934i 0.404401 0.885515i −0.592404 0.805641i \(-0.701821\pi\)
0.996805 0.0798736i \(-0.0254517\pi\)
\(972\) −0.722586 5.02569i −0.0231769 0.161199i
\(973\) −5.24918 1.54130i −0.168281 0.0494118i
\(974\) −35.1286 + 22.5758i −1.12559 + 0.723375i
\(975\) 13.7314 + 30.0676i 0.439757 + 0.962934i
\(976\) 6.41620 1.88397i 0.205378 0.0603043i
\(977\) 5.89489 6.80307i 0.188594 0.217650i −0.653576 0.756861i \(-0.726732\pi\)
0.842171 + 0.539211i \(0.181278\pi\)
\(978\) 21.1705 24.4321i 0.676959 0.781252i
\(979\) 54.2804 15.9382i 1.73481 0.509386i
\(980\) 0.426940 + 0.934869i 0.0136381 + 0.0298633i
\(981\) −4.18058 + 2.68670i −0.133476 + 0.0857797i
\(982\) −21.6115 6.34572i −0.689652 0.202500i
\(983\) 5.74006 + 39.9230i 0.183080 + 1.27335i 0.849427 + 0.527705i \(0.176948\pi\)
−0.666348 + 0.745641i \(0.732143\pi\)
\(984\) 3.90593 8.55279i 0.124516 0.272653i
\(985\) −0.259866 + 1.80741i −0.00828002 + 0.0575888i
\(986\) 1.09612 + 0.704431i 0.0349074 + 0.0224336i
\(987\) 7.48463 + 8.63773i 0.238238 + 0.274942i
\(988\) −17.6407 −0.561227
\(989\) −35.9274 38.1959i −1.14242 1.21456i
\(990\) 2.06815 0.0657302
\(991\) 4.41376 + 5.09375i 0.140208 + 0.161808i 0.821511 0.570193i \(-0.193132\pi\)
−0.681303 + 0.732002i \(0.738586\pi\)
\(992\) −8.38147 5.38644i −0.266112 0.171020i
\(993\) 0.116911 0.813137i 0.00371007 0.0258041i
\(994\) −4.16768 + 9.12595i −0.132191 + 0.289457i
\(995\) −0.334137 2.32397i −0.0105928 0.0736748i
\(996\) −22.7225 6.67194i −0.719991 0.211408i
\(997\) 18.5065 11.8934i 0.586106 0.376667i −0.213724 0.976894i \(-0.568559\pi\)
0.799830 + 0.600227i \(0.204923\pi\)
\(998\) −15.8565 34.7210i −0.501930 1.09907i
\(999\) −10.3959 + 3.05253i −0.328913 + 0.0965776i
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 322.2.i.c.197.2 yes 20
23.4 even 11 7406.2.a.bp.1.10 10
23.16 even 11 inner 322.2.i.c.85.2 20
23.19 odd 22 7406.2.a.bo.1.10 10
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.i.c.85.2 20 23.16 even 11 inner
322.2.i.c.197.2 yes 20 1.1 even 1 trivial
7406.2.a.bo.1.10 10 23.19 odd 22
7406.2.a.bp.1.10 10 23.4 even 11