Properties

Label 441.2.bn.a.353.13
Level $441$
Weight $2$
Character 441.353
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
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] = [441,2,Mod(5,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([35, 29]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 353.13
Character \(\chi\) \(=\) 441.353
Dual form 441.2.bn.a.5.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.47430 - 1.17571i) q^{2} +(1.71213 + 0.261949i) q^{3} +(0.346209 + 1.51684i) q^{4} +(3.14585 - 2.14480i) q^{5} +(-2.21621 - 2.39916i) q^{6} +(0.361407 + 2.62095i) q^{7} +(-0.363391 + 0.754589i) q^{8} +(2.86277 + 0.896980i) q^{9} +O(q^{10})\) \(q+(-1.47430 - 1.17571i) q^{2} +(1.71213 + 0.261949i) q^{3} +(0.346209 + 1.51684i) q^{4} +(3.14585 - 2.14480i) q^{5} +(-2.21621 - 2.39916i) q^{6} +(0.361407 + 2.62095i) q^{7} +(-0.363391 + 0.754589i) q^{8} +(2.86277 + 0.896980i) q^{9} +(-7.15958 - 0.536537i) q^{10} +(0.626169 - 4.15436i) q^{11} +(0.195420 + 2.68772i) q^{12} +(0.0779578 - 0.517216i) q^{13} +(2.54866 - 4.28897i) q^{14} +(5.94792 - 2.84813i) q^{15} +(4.22647 - 2.03536i) q^{16} +(3.64219 + 3.37946i) q^{17} +(-3.16598 - 4.68820i) q^{18} +(-5.37051 + 3.10066i) q^{19} +(4.34245 + 4.02920i) q^{20} +(-0.0677794 + 4.58207i) q^{21} +(-5.80749 + 5.38856i) q^{22} +(-1.64762 + 5.34144i) q^{23} +(-0.819835 + 1.19676i) q^{24} +(3.46947 - 8.84007i) q^{25} +(-0.723031 + 0.670874i) q^{26} +(4.66646 + 2.28564i) q^{27} +(-3.85045 + 1.45560i) q^{28} +(-0.339816 + 0.366234i) q^{29} +(-12.1176 - 2.79406i) q^{30} -5.17374i q^{31} +(-6.99101 - 1.59565i) q^{32} +(2.16031 - 6.94877i) q^{33} +(-1.39640 - 9.26451i) q^{34} +(6.75835 + 7.46996i) q^{35} +(-0.369461 + 4.65291i) q^{36} +(-8.49335 + 2.61985i) q^{37} +(11.5632 + 1.74287i) q^{38} +(0.268958 - 0.865120i) q^{39} +(0.475272 + 3.15322i) q^{40} +(-0.671933 - 8.96633i) q^{41} +(5.48713 - 6.67565i) q^{42} +(-0.239749 + 3.19922i) q^{43} +(6.51829 - 0.488479i) q^{44} +(10.9297 - 3.31830i) q^{45} +(8.70908 - 5.93775i) q^{46} +(2.76737 - 3.47017i) q^{47} +(7.76942 - 2.37768i) q^{48} +(-6.73877 + 1.89446i) q^{49} +(-15.5084 + 8.95379i) q^{50} +(5.35066 + 6.74014i) q^{51} +(0.811525 - 0.0608154i) q^{52} +(3.24602 - 10.5233i) q^{53} +(-4.19249 - 8.85613i) q^{54} +(-6.94045 - 14.4120i) q^{55} +(-2.10907 - 0.679716i) q^{56} +(-10.0072 + 3.90194i) q^{57} +(0.931576 - 0.140412i) q^{58} +(5.76292 - 2.77527i) q^{59} +(6.37938 + 8.03601i) q^{60} +(-3.88646 - 0.887058i) q^{61} +(-6.08283 + 7.62763i) q^{62} +(-1.31632 + 7.82734i) q^{63} +(2.58118 + 3.23669i) q^{64} +(-0.864083 - 1.79429i) q^{65} +(-11.3547 + 7.70465i) q^{66} -10.5424 q^{67} +(-3.86515 + 6.69464i) q^{68} +(-4.22012 + 8.71364i) q^{69} +(-1.18129 - 18.9588i) q^{70} +(-15.0780 + 3.44146i) q^{71} +(-1.71715 + 1.83426i) q^{72} +(0.116249 + 0.771264i) q^{73} +(15.6019 + 6.12330i) q^{74} +(8.25583 - 14.2265i) q^{75} +(-6.56254 - 7.07274i) q^{76} +(11.1147 + 0.139742i) q^{77} +(-1.41366 + 0.959226i) q^{78} +5.63084 q^{79} +(8.93039 - 15.4679i) q^{80} +(7.39085 + 5.13569i) q^{81} +(-9.55119 + 14.0090i) q^{82} +(-10.8313 + 1.63255i) q^{83} +(-6.97375 + 1.48355i) q^{84} +(18.7061 + 2.81949i) q^{85} +(4.11483 - 4.43473i) q^{86} +(-0.677743 + 0.538026i) q^{87} +(2.90729 + 1.98216i) q^{88} +(-1.78613 + 4.55099i) q^{89} +(-20.0149 - 7.95798i) q^{90} +(1.38377 + 0.0173979i) q^{91} +(-8.67255 - 0.649917i) q^{92} +(1.35526 - 8.85811i) q^{93} +(-8.15985 + 1.86243i) q^{94} +(-10.2445 + 21.2729i) q^{95} +(-11.5515 - 4.56325i) q^{96} +(11.5129 + 6.64700i) q^{97} +(12.1623 + 5.12986i) q^{98} +(5.51895 - 11.3313i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.47430 1.17571i −1.04249 0.831354i −0.0565362 0.998401i \(-0.518006\pi\)
−0.985949 + 0.167046i \(0.946577\pi\)
\(3\) 1.71213 + 0.261949i 0.988498 + 0.151236i
\(4\) 0.346209 + 1.51684i 0.173105 + 0.758421i
\(5\) 3.14585 2.14480i 1.40687 0.959185i 0.407932 0.913012i \(-0.366250\pi\)
0.998933 0.0461725i \(-0.0147024\pi\)
\(6\) −2.21621 2.39916i −0.904763 0.979453i
\(7\) 0.361407 + 2.62095i 0.136599 + 0.990626i
\(8\) −0.363391 + 0.754589i −0.128478 + 0.266787i
\(9\) 2.86277 + 0.896980i 0.954255 + 0.298993i
\(10\) −7.15958 0.536537i −2.26406 0.169668i
\(11\) 0.626169 4.15436i 0.188797 1.25259i −0.670810 0.741630i \(-0.734053\pi\)
0.859607 0.510957i \(-0.170709\pi\)
\(12\) 0.195420 + 2.68772i 0.0564128 + 0.775877i
\(13\) 0.0779578 0.517216i 0.0216216 0.143450i −0.975415 0.220375i \(-0.929272\pi\)
0.997037 + 0.0769247i \(0.0245101\pi\)
\(14\) 2.54866 4.28897i 0.681159 1.14628i
\(15\) 5.94792 2.84813i 1.53575 0.735383i
\(16\) 4.22647 2.03536i 1.05662 0.508840i
\(17\) 3.64219 + 3.37946i 0.883362 + 0.819640i 0.984528 0.175229i \(-0.0560667\pi\)
−0.101166 + 0.994870i \(0.532257\pi\)
\(18\) −3.16598 4.68820i −0.746228 1.10502i
\(19\) −5.37051 + 3.10066i −1.23208 + 0.711341i −0.967463 0.253013i \(-0.918579\pi\)
−0.264616 + 0.964354i \(0.585245\pi\)
\(20\) 4.34245 + 4.02920i 0.971001 + 0.900957i
\(21\) −0.0677794 + 4.58207i −0.0147907 + 0.999891i
\(22\) −5.80749 + 5.38856i −1.23816 + 1.14885i
\(23\) −1.64762 + 5.34144i −0.343552 + 1.11377i 0.604755 + 0.796412i \(0.293271\pi\)
−0.948307 + 0.317356i \(0.897205\pi\)
\(24\) −0.819835 + 1.19676i −0.167348 + 0.244288i
\(25\) 3.46947 8.84007i 0.693894 1.76801i
\(26\) −0.723031 + 0.670874i −0.141798 + 0.131569i
\(27\) 4.66646 + 2.28564i 0.898060 + 0.439872i
\(28\) −3.85045 + 1.45560i −0.727666 + 0.275082i
\(29\) −0.339816 + 0.366234i −0.0631022 + 0.0680080i −0.763814 0.645437i \(-0.776675\pi\)
0.700712 + 0.713445i \(0.252866\pi\)
\(30\) −12.1176 2.79406i −2.21236 0.510124i
\(31\) 5.17374i 0.929231i −0.885512 0.464616i \(-0.846192\pi\)
0.885512 0.464616i \(-0.153808\pi\)
\(32\) −6.99101 1.59565i −1.23585 0.282074i
\(33\) 2.16031 6.94877i 0.376062 1.20963i
\(34\) −1.39640 9.26451i −0.239481 1.58885i
\(35\) 6.75835 + 7.46996i 1.14237 + 1.26265i
\(36\) −0.369461 + 4.65291i −0.0615768 + 0.775485i
\(37\) −8.49335 + 2.61985i −1.39630 + 0.430701i −0.899407 0.437112i \(-0.856001\pi\)
−0.496891 + 0.867813i \(0.665525\pi\)
\(38\) 11.5632 + 1.74287i 1.87580 + 0.282732i
\(39\) 0.268958 0.865120i 0.0430677 0.138530i
\(40\) 0.475272 + 3.15322i 0.0751471 + 0.498568i
\(41\) −0.671933 8.96633i −0.104938 1.40030i −0.762541 0.646940i \(-0.776048\pi\)
0.657603 0.753365i \(-0.271571\pi\)
\(42\) 5.48713 6.67565i 0.846682 1.03007i
\(43\) −0.239749 + 3.19922i −0.0365613 + 0.487877i 0.948626 + 0.316398i \(0.102474\pi\)
−0.985188 + 0.171479i \(0.945145\pi\)
\(44\) 6.51829 0.488479i 0.982670 0.0736409i
\(45\) 10.9297 3.31830i 1.62930 0.494664i
\(46\) 8.70908 5.93775i 1.28408 0.875473i
\(47\) 2.76737 3.47017i 0.403663 0.506177i −0.537903 0.843007i \(-0.680783\pi\)
0.941565 + 0.336830i \(0.109355\pi\)
\(48\) 7.76942 2.37768i 1.12142 0.343189i
\(49\) −6.73877 + 1.89446i −0.962681 + 0.270637i
\(50\) −15.5084 + 8.95379i −2.19322 + 1.26626i
\(51\) 5.35066 + 6.74014i 0.749242 + 0.943809i
\(52\) 0.811525 0.0608154i 0.112538 0.00843358i
\(53\) 3.24602 10.5233i 0.445875 1.44549i −0.402168 0.915566i \(-0.631743\pi\)
0.848043 0.529927i \(-0.177781\pi\)
\(54\) −4.19249 8.85613i −0.570525 1.20517i
\(55\) −6.94045 14.4120i −0.935850 1.94331i
\(56\) −2.10907 0.679716i −0.281837 0.0908308i
\(57\) −10.0072 + 3.90194i −1.32549 + 0.516824i
\(58\) 0.931576 0.140412i 0.122322 0.0184371i
\(59\) 5.76292 2.77527i 0.750268 0.361310i −0.0193517 0.999813i \(-0.506160\pi\)
0.769619 + 0.638503i \(0.220446\pi\)
\(60\) 6.37938 + 8.03601i 0.823575 + 1.03744i
\(61\) −3.88646 0.887058i −0.497610 0.113576i −0.0336522 0.999434i \(-0.510714\pi\)
−0.463958 + 0.885857i \(0.653571\pi\)
\(62\) −6.08283 + 7.62763i −0.772520 + 0.968710i
\(63\) −1.31632 + 7.82734i −0.165840 + 0.986153i
\(64\) 2.58118 + 3.23669i 0.322647 + 0.404587i
\(65\) −0.864083 1.79429i −0.107176 0.222554i
\(66\) −11.3547 + 7.70465i −1.39767 + 0.948376i
\(67\) −10.5424 −1.28796 −0.643978 0.765044i \(-0.722717\pi\)
−0.643978 + 0.765044i \(0.722717\pi\)
\(68\) −3.86515 + 6.69464i −0.468718 + 0.811844i
\(69\) −4.22012 + 8.71364i −0.508042 + 1.04900i
\(70\) −1.18129 18.9588i −0.141191 2.26601i
\(71\) −15.0780 + 3.44146i −1.78943 + 0.408426i −0.983104 0.183046i \(-0.941404\pi\)
−0.806326 + 0.591472i \(0.798547\pi\)
\(72\) −1.71715 + 1.83426i −0.202369 + 0.216169i
\(73\) 0.116249 + 0.771264i 0.0136060 + 0.0902697i 0.994603 0.103752i \(-0.0330849\pi\)
−0.980997 + 0.194022i \(0.937847\pi\)
\(74\) 15.6019 + 6.12330i 1.81369 + 0.711819i
\(75\) 8.25583 14.2265i 0.953301 1.64274i
\(76\) −6.56254 7.07274i −0.752775 0.811299i
\(77\) 11.1147 + 0.139742i 1.26663 + 0.0159251i
\(78\) −1.41366 + 0.959226i −0.160065 + 0.108611i
\(79\) 5.63084 0.633519 0.316760 0.948506i \(-0.397405\pi\)
0.316760 + 0.948506i \(0.397405\pi\)
\(80\) 8.93039 15.4679i 0.998448 1.72936i
\(81\) 7.39085 + 5.13569i 0.821206 + 0.570632i
\(82\) −9.55119 + 14.0090i −1.05475 + 1.54704i
\(83\) −10.8313 + 1.63255i −1.18889 + 0.179196i −0.713548 0.700607i \(-0.752913\pi\)
−0.475339 + 0.879803i \(0.657675\pi\)
\(84\) −6.97375 + 1.48355i −0.760899 + 0.161868i
\(85\) 18.7061 + 2.81949i 2.02896 + 0.305816i
\(86\) 4.11483 4.43473i 0.443713 0.478209i
\(87\) −0.677743 + 0.538026i −0.0726617 + 0.0576824i
\(88\) 2.90729 + 1.98216i 0.309918 + 0.211299i
\(89\) −1.78613 + 4.55099i −0.189330 + 0.482404i −0.993746 0.111661i \(-0.964383\pi\)
0.804417 + 0.594066i \(0.202478\pi\)
\(90\) −20.0149 7.95798i −2.10976 0.838845i
\(91\) 1.38377 + 0.0173979i 0.145059 + 0.00182379i
\(92\) −8.67255 0.649917i −0.904175 0.0677586i
\(93\) 1.35526 8.85811i 0.140533 0.918543i
\(94\) −8.15985 + 1.86243i −0.841624 + 0.192095i
\(95\) −10.2445 + 21.2729i −1.05106 + 2.18255i
\(96\) −11.5515 4.56325i −1.17897 0.465735i
\(97\) 11.5129 + 6.64700i 1.16896 + 0.674901i 0.953435 0.301597i \(-0.0975198\pi\)
0.215527 + 0.976498i \(0.430853\pi\)
\(98\) 12.1623 + 5.12986i 1.22858 + 0.518194i
\(99\) 5.51895 11.3313i 0.554675 1.13884i
\(100\) 14.6102 + 2.20213i 1.46102 + 0.220213i
\(101\) 0.131957 + 1.76085i 0.0131303 + 0.175211i 0.999913 + 0.0131644i \(0.00419049\pi\)
−0.986783 + 0.162047i \(0.948190\pi\)
\(102\) 0.0360115 16.2278i 0.00356567 1.60679i
\(103\) 5.16074 + 7.56942i 0.508503 + 0.745837i 0.991545 0.129760i \(-0.0414207\pi\)
−0.483043 + 0.875597i \(0.660468\pi\)
\(104\) 0.361956 + 0.246778i 0.0354928 + 0.0241985i
\(105\) 9.61442 + 14.5599i 0.938271 + 1.42090i
\(106\) −17.1580 + 11.6981i −1.66654 + 1.13622i
\(107\) −1.31283 0.515249i −0.126916 0.0498110i 0.301033 0.953614i \(-0.402669\pi\)
−0.427949 + 0.903803i \(0.640764\pi\)
\(108\) −1.85139 + 7.86959i −0.178150 + 0.757252i
\(109\) 3.58015 + 9.12206i 0.342916 + 0.873735i 0.993451 + 0.114259i \(0.0364494\pi\)
−0.650535 + 0.759476i \(0.725455\pi\)
\(110\) −6.71207 + 29.4075i −0.639971 + 2.80390i
\(111\) −15.2280 + 2.26070i −1.44538 + 0.214576i
\(112\) 6.86206 + 10.3418i 0.648404 + 0.977206i
\(113\) −2.83262 1.11172i −0.266471 0.104582i 0.228344 0.973580i \(-0.426669\pi\)
−0.494815 + 0.868998i \(0.664764\pi\)
\(114\) 19.3412 + 6.01299i 1.81147 + 0.563169i
\(115\) 6.27319 + 20.3372i 0.584978 + 1.89645i
\(116\) −0.673167 0.388653i −0.0625020 0.0360856i
\(117\) 0.687108 1.41074i 0.0635231 0.130423i
\(118\) −11.7592 2.68395i −1.08252 0.247078i
\(119\) −7.54109 + 10.7674i −0.691291 + 0.987044i
\(120\) −0.0122567 + 5.52322i −0.00111888 + 0.504199i
\(121\) −6.35531 1.96035i −0.577755 0.178214i
\(122\) 4.68687 + 5.87714i 0.424329 + 0.532092i
\(123\) 1.19828 15.5275i 0.108046 1.40007i
\(124\) 7.84775 1.79120i 0.704749 0.160854i
\(125\) −3.80961 16.6910i −0.340742 1.49289i
\(126\) 11.1433 9.99222i 0.992728 0.890178i
\(127\) −0.564415 + 2.47286i −0.0500837 + 0.219431i −0.993777 0.111392i \(-0.964469\pi\)
0.943693 + 0.330823i \(0.107326\pi\)
\(128\) 6.53503i 0.577620i
\(129\) −1.24851 + 5.41468i −0.109925 + 0.476736i
\(130\) −0.835651 + 3.66123i −0.0732914 + 0.321111i
\(131\) −0.545989 + 7.28572i −0.0477033 + 0.636556i 0.921196 + 0.389099i \(0.127214\pi\)
−0.968899 + 0.247456i \(0.920405\pi\)
\(132\) 11.2881 + 0.871121i 0.982504 + 0.0758214i
\(133\) −10.0676 12.9552i −0.872974 1.12336i
\(134\) 15.5426 + 12.3948i 1.34268 + 1.07075i
\(135\) 19.5822 2.81835i 1.68537 0.242565i
\(136\) −3.87365 + 1.52029i −0.332162 + 0.130364i
\(137\) 5.84411 8.57173i 0.499296 0.732332i −0.491023 0.871147i \(-0.663377\pi\)
0.990318 + 0.138814i \(0.0443292\pi\)
\(138\) 16.4664 7.88485i 1.40172 0.671203i
\(139\) −2.36640 + 0.177337i −0.200715 + 0.0150415i −0.174708 0.984620i \(-0.555898\pi\)
−0.0260069 + 0.999662i \(0.508279\pi\)
\(140\) −8.99095 + 12.8375i −0.759874 + 1.08497i
\(141\) 5.64710 5.21647i 0.475572 0.439306i
\(142\) 26.2756 + 12.6537i 2.20500 + 1.06187i
\(143\) −2.09989 0.647729i −0.175601 0.0541659i
\(144\) 13.9251 2.03570i 1.16042 0.169642i
\(145\) −0.283508 + 1.88096i −0.0235441 + 0.156205i
\(146\) 0.735399 1.27375i 0.0608621 0.105416i
\(147\) −12.0339 + 1.47835i −0.992538 + 0.121932i
\(148\) −6.91438 11.9761i −0.568359 0.984426i
\(149\) 3.99130 1.56647i 0.326980 0.128330i −0.196172 0.980569i \(-0.562851\pi\)
0.523152 + 0.852239i \(0.324756\pi\)
\(150\) −28.8978 + 11.2676i −2.35950 + 0.919997i
\(151\) −10.3156 + 9.57151i −0.839474 + 0.778918i −0.977372 0.211528i \(-0.932156\pi\)
0.137898 + 0.990446i \(0.455965\pi\)
\(152\) −0.388133 5.17928i −0.0314818 0.420095i
\(153\) 7.39544 + 12.9416i 0.597886 + 1.04627i
\(154\) −16.2220 13.2737i −1.30721 1.06962i
\(155\) −11.0967 16.2758i −0.891305 1.30730i
\(156\) 1.40537 + 0.108454i 0.112519 + 0.00868330i
\(157\) 0.322505 + 0.669689i 0.0257387 + 0.0534470i 0.913442 0.406969i \(-0.133414\pi\)
−0.887703 + 0.460416i \(0.847700\pi\)
\(158\) −8.30153 6.62025i −0.660434 0.526679i
\(159\) 8.31418 17.1670i 0.659358 1.36143i
\(160\) −25.4150 + 9.97466i −2.00923 + 0.788566i
\(161\) −14.5951 2.38789i −1.15026 0.188192i
\(162\) −4.85822 16.2610i −0.381698 1.27759i
\(163\) −1.14496 0.780620i −0.0896801 0.0611429i 0.517650 0.855593i \(-0.326807\pi\)
−0.607330 + 0.794450i \(0.707759\pi\)
\(164\) 13.3679 4.12344i 1.04386 0.321987i
\(165\) −8.10773 26.4932i −0.631186 2.06249i
\(166\) 17.8879 + 10.3276i 1.38837 + 0.801577i
\(167\) 1.32042 0.407297i 0.102177 0.0315176i −0.243245 0.969965i \(-0.578212\pi\)
0.345422 + 0.938447i \(0.387736\pi\)
\(168\) −3.43295 1.71623i −0.264858 0.132410i
\(169\) 12.1610 + 3.75118i 0.935462 + 0.288552i
\(170\) −24.2634 26.1497i −1.86092 2.00559i
\(171\) −18.1557 + 4.05924i −1.38840 + 0.310418i
\(172\) −4.93572 + 0.743940i −0.376345 + 0.0567249i
\(173\) −3.96438 17.3691i −0.301406 1.32055i −0.868006 0.496553i \(-0.834599\pi\)
0.566600 0.823993i \(-0.308258\pi\)
\(174\) 1.63176 + 0.00362107i 0.123703 + 0.000274513i
\(175\) 24.4233 + 5.89845i 1.84623 + 0.445881i
\(176\) −5.80914 18.8328i −0.437880 1.41957i
\(177\) 10.5938 3.24204i 0.796281 0.243686i
\(178\) 7.98395 4.60954i 0.598423 0.345499i
\(179\) −1.04024 + 1.12111i −0.0777510 + 0.0837957i −0.770729 0.637163i \(-0.780108\pi\)
0.692978 + 0.720959i \(0.256298\pi\)
\(180\) 8.81730 + 15.4298i 0.657203 + 1.15007i
\(181\) −7.78798 + 6.21070i −0.578876 + 0.461638i −0.868629 0.495463i \(-0.834998\pi\)
0.289753 + 0.957101i \(0.406427\pi\)
\(182\) −2.01964 1.65257i −0.149705 0.122497i
\(183\) −6.42175 2.53681i −0.474709 0.187526i
\(184\) −3.43186 3.18430i −0.253000 0.234750i
\(185\) −21.0997 + 26.4582i −1.55128 + 1.94525i
\(186\) −12.4126 + 11.4661i −0.910139 + 0.840734i
\(187\) 16.3201 13.0149i 1.19345 0.951741i
\(188\) 6.22180 + 2.99626i 0.453771 + 0.218525i
\(189\) −4.30407 + 13.0566i −0.313075 + 0.949729i
\(190\) 40.1142 19.3180i 2.91019 1.40147i
\(191\) 1.48641 3.08657i 0.107553 0.223337i −0.840245 0.542206i \(-0.817589\pi\)
0.947798 + 0.318870i \(0.103303\pi\)
\(192\) 3.57146 + 6.21777i 0.257748 + 0.448729i
\(193\) 8.05156 + 3.87742i 0.579564 + 0.279103i 0.700611 0.713544i \(-0.252911\pi\)
−0.121047 + 0.992647i \(0.538625\pi\)
\(194\) −9.15853 23.3356i −0.657544 1.67540i
\(195\) −1.00941 3.29840i −0.0722853 0.236203i
\(196\) −5.20663 9.56577i −0.371902 0.683269i
\(197\) 1.57393i 0.112138i 0.998427 + 0.0560689i \(0.0178566\pi\)
−0.998427 + 0.0560689i \(0.982143\pi\)
\(198\) −21.4589 + 10.2170i −1.52502 + 0.726090i
\(199\) 3.64010 + 5.33905i 0.258040 + 0.378475i 0.933296 0.359108i \(-0.116919\pi\)
−0.675256 + 0.737584i \(0.735967\pi\)
\(200\) 5.40984 + 5.83043i 0.382534 + 0.412273i
\(201\) −18.0499 2.76156i −1.27314 0.194786i
\(202\) 1.87571 2.75116i 0.131974 0.193571i
\(203\) −1.08269 0.758281i −0.0759902 0.0532209i
\(204\) −8.37129 + 10.4496i −0.586107 + 0.731619i
\(205\) −21.3448 26.7655i −1.49079 1.86939i
\(206\) 1.29099 17.2271i 0.0899478 1.20027i
\(207\) −9.50791 + 13.8134i −0.660845 + 0.960099i
\(208\) −0.723236 2.34467i −0.0501474 0.162574i
\(209\) 9.51843 + 24.2526i 0.658403 + 1.67758i
\(210\) 2.94372 32.7694i 0.203136 2.26130i
\(211\) −1.38465 + 3.52803i −0.0953232 + 0.242880i −0.970580 0.240779i \(-0.922597\pi\)
0.875257 + 0.483659i \(0.160692\pi\)
\(212\) 17.0861 + 1.28042i 1.17348 + 0.0879398i
\(213\) −26.7170 + 1.94255i −1.83062 + 0.133101i
\(214\) 1.32972 + 2.30314i 0.0908979 + 0.157440i
\(215\) 6.10749 + 10.5785i 0.416527 + 0.721447i
\(216\) −3.42047 + 2.69068i −0.232733 + 0.183077i
\(217\) 13.5601 1.86983i 0.920521 0.126932i
\(218\) 5.44672 17.6578i 0.368899 1.19594i
\(219\) −0.00299793 + 1.35095i −0.000202582 + 0.0912891i
\(220\) 19.4579 15.5171i 1.31185 1.04616i
\(221\) 2.03185 1.62035i 0.136677 0.108996i
\(222\) 25.1085 + 14.5708i 1.68517 + 0.977927i
\(223\) −6.89590 + 22.3559i −0.461783 + 1.49706i 0.363094 + 0.931753i \(0.381720\pi\)
−0.824877 + 0.565312i \(0.808756\pi\)
\(224\) 1.65552 18.8998i 0.110614 1.26279i
\(225\) 17.8617 22.1950i 1.19078 1.47967i
\(226\) 2.86906 + 4.96936i 0.190847 + 0.330557i
\(227\) −5.05499 8.75550i −0.335512 0.581123i 0.648071 0.761580i \(-0.275576\pi\)
−0.983583 + 0.180456i \(0.942243\pi\)
\(228\) −9.38321 13.8285i −0.621419 0.915814i
\(229\) −6.07334 0.455134i −0.401338 0.0300761i −0.127467 0.991843i \(-0.540685\pi\)
−0.273870 + 0.961767i \(0.588304\pi\)
\(230\) 14.6621 37.3585i 0.966792 2.46335i
\(231\) 18.9931 + 3.15073i 1.24966 + 0.207303i
\(232\) −0.152870 0.389507i −0.0100364 0.0255724i
\(233\) 2.31201 + 7.49536i 0.151465 + 0.491037i 0.999226 0.0393412i \(-0.0125259\pi\)
−0.847761 + 0.530379i \(0.822050\pi\)
\(234\) −2.67163 + 1.27201i −0.174650 + 0.0831540i
\(235\) 1.26289 16.8521i 0.0823819 1.09931i
\(236\) 6.20483 + 7.78061i 0.403900 + 0.506475i
\(237\) 9.64072 + 1.47499i 0.626232 + 0.0958110i
\(238\) 23.7771 7.00815i 1.54124 0.454271i
\(239\) −9.84536 + 14.4405i −0.636843 + 0.934078i 0.363154 + 0.931729i \(0.381700\pi\)
−0.999997 + 0.00234854i \(0.999252\pi\)
\(240\) 19.3418 24.1437i 1.24851 1.55847i
\(241\) −9.87723 10.6451i −0.636248 0.685713i 0.329807 0.944048i \(-0.393016\pi\)
−0.966055 + 0.258336i \(0.916826\pi\)
\(242\) 7.06480 + 10.3622i 0.454142 + 0.666105i
\(243\) 11.3088 + 10.7290i 0.725460 + 0.688264i
\(244\) 6.20225i 0.397058i
\(245\) −17.1359 + 20.4130i −1.09477 + 1.30414i
\(246\) −20.0225 + 21.4833i −1.27659 + 1.36973i
\(247\) 1.18504 + 3.01944i 0.0754024 + 0.192122i
\(248\) 3.90405 + 1.88009i 0.247907 + 0.119386i
\(249\) −18.9722 0.0421016i −1.20231 0.00266808i
\(250\) −14.0073 + 29.0865i −0.885900 + 1.83959i
\(251\) 13.3249 6.41692i 0.841059 0.405032i 0.0368076 0.999322i \(-0.488281\pi\)
0.804251 + 0.594290i \(0.202567\pi\)
\(252\) −12.3286 + 0.713256i −0.776627 + 0.0449309i
\(253\) 21.1586 + 10.1894i 1.33023 + 0.640604i
\(254\) 3.73949 2.98214i 0.234636 0.187116i
\(255\) 31.2886 + 9.72735i 1.95937 + 0.609151i
\(256\) 12.8457 16.1080i 0.802854 1.00675i
\(257\) −3.70924 3.44168i −0.231376 0.214686i 0.555961 0.831208i \(-0.312350\pi\)
−0.787337 + 0.616523i \(0.788541\pi\)
\(258\) 8.20679 6.51495i 0.510932 0.405603i
\(259\) −9.93606 21.3138i −0.617397 1.32438i
\(260\) 2.42250 1.93188i 0.150237 0.119810i
\(261\) −1.30132 + 0.743635i −0.0805496 + 0.0460299i
\(262\) 9.37086 10.0994i 0.578933 0.623942i
\(263\) 21.4080 12.3599i 1.32008 0.762146i 0.336335 0.941742i \(-0.390813\pi\)
0.983740 + 0.179597i \(0.0574793\pi\)
\(264\) 4.45843 + 4.15527i 0.274397 + 0.255739i
\(265\) −12.3590 40.0669i −0.759208 2.46129i
\(266\) −0.388958 + 30.9365i −0.0238485 + 1.89684i
\(267\) −4.25022 + 7.32401i −0.260109 + 0.448222i
\(268\) −3.64987 15.9911i −0.222951 0.976814i
\(269\) 7.76224 1.16997i 0.473272 0.0713343i 0.0919245 0.995766i \(-0.470698\pi\)
0.381348 + 0.924432i \(0.375460\pi\)
\(270\) −32.1836 18.8680i −1.95863 1.14827i
\(271\) 0.343774 + 0.370500i 0.0208828 + 0.0225063i 0.743407 0.668839i \(-0.233209\pi\)
−0.722524 + 0.691346i \(0.757018\pi\)
\(272\) 22.2721 + 6.87002i 1.35044 + 0.416556i
\(273\) 2.36464 + 0.392265i 0.143114 + 0.0237410i
\(274\) −18.6938 + 5.76629i −1.12934 + 0.348354i
\(275\) −34.5523 19.9488i −2.08359 1.20296i
\(276\) −14.6783 3.38451i −0.883528 0.203723i
\(277\) 8.26438 2.54922i 0.496559 0.153168i −0.0363529 0.999339i \(-0.511574\pi\)
0.532912 + 0.846171i \(0.321098\pi\)
\(278\) 3.69727 + 2.52076i 0.221748 + 0.151185i
\(279\) 4.64074 14.8112i 0.277834 0.886724i
\(280\) −8.09268 + 2.38526i −0.483630 + 0.142547i
\(281\) −10.2096 + 4.00699i −0.609056 + 0.239037i −0.649766 0.760134i \(-0.725133\pi\)
0.0407101 + 0.999171i \(0.487038\pi\)
\(282\) −14.4586 + 1.05126i −0.860996 + 0.0626016i
\(283\) −11.0724 8.82992i −0.658184 0.524884i 0.236473 0.971638i \(-0.424009\pi\)
−0.894657 + 0.446754i \(0.852580\pi\)
\(284\) −10.4403 21.6795i −0.619517 1.28644i
\(285\) −23.1123 + 33.7384i −1.36905 + 1.99849i
\(286\) 2.33431 + 3.42381i 0.138031 + 0.202454i
\(287\) 23.2575 5.00160i 1.37284 0.295235i
\(288\) −18.5824 10.8388i −1.09498 0.638681i
\(289\) 0.574402 + 7.66486i 0.0337883 + 0.450874i
\(290\) 2.62944 2.43976i 0.154406 0.143268i
\(291\) 17.9705 + 14.3963i 1.05345 + 0.843927i
\(292\) −1.12964 + 0.443351i −0.0661072 + 0.0259452i
\(293\) 2.87718 + 4.98342i 0.168087 + 0.291135i 0.937747 0.347319i \(-0.112908\pi\)
−0.769660 + 0.638453i \(0.779574\pi\)
\(294\) 19.4796 + 11.9689i 1.13608 + 0.698039i
\(295\) 12.1768 21.0909i 0.708963 1.22796i
\(296\) 1.10950 7.36102i 0.0644881 0.427851i
\(297\) 12.4174 17.9549i 0.720529 1.04185i
\(298\) −7.72607 2.38318i −0.447559 0.138054i
\(299\) 2.63424 + 1.26858i 0.152342 + 0.0733639i
\(300\) 24.4376 + 7.59744i 1.41091 + 0.438638i
\(301\) −8.47166 + 0.527853i −0.488298 + 0.0304250i
\(302\) 26.4616 1.98303i 1.52270 0.114110i
\(303\) −0.235325 + 3.04937i −0.0135190 + 0.175182i
\(304\) −16.3873 + 24.0358i −0.939878 + 1.37855i
\(305\) −14.1288 + 5.54513i −0.809011 + 0.317513i
\(306\) 4.31251 27.7746i 0.246530 1.58777i
\(307\) 6.85357 + 5.46554i 0.391154 + 0.311935i 0.799244 0.601007i \(-0.205234\pi\)
−0.408090 + 0.912942i \(0.633805\pi\)
\(308\) 3.63604 + 16.9076i 0.207182 + 0.963399i
\(309\) 6.85305 + 14.3117i 0.389856 + 0.814162i
\(310\) −2.77590 + 37.0418i −0.157661 + 2.10383i
\(311\) 1.43529 6.28840i 0.0813877 0.356583i −0.917793 0.397060i \(-0.870031\pi\)
0.999180 + 0.0404770i \(0.0128877\pi\)
\(312\) 0.555073 + 0.517329i 0.0314248 + 0.0292880i
\(313\) 9.78149i 0.552882i −0.961031 0.276441i \(-0.910845\pi\)
0.961031 0.276441i \(-0.0891551\pi\)
\(314\) 0.311893 1.36649i 0.0176011 0.0771157i
\(315\) 12.6472 + 27.4469i 0.712588 + 1.54646i
\(316\) 1.94945 + 8.54110i 0.109665 + 0.480474i
\(317\) 5.98891 1.36693i 0.336371 0.0767744i −0.0509995 0.998699i \(-0.516241\pi\)
0.387370 + 0.921924i \(0.373384\pi\)
\(318\) −32.4411 + 15.5342i −1.81920 + 0.871115i
\(319\) 1.30869 + 1.64104i 0.0732724 + 0.0918807i
\(320\) 15.0621 + 4.64603i 0.841995 + 0.259721i
\(321\) −2.11277 1.22607i −0.117923 0.0684324i
\(322\) 18.7101 + 20.6801i 1.04267 + 1.15246i
\(323\) −30.0390 6.85621i −1.67142 0.381490i
\(324\) −5.23124 + 12.9888i −0.290625 + 0.721599i
\(325\) −4.30176 2.48362i −0.238618 0.137766i
\(326\) 0.770225 + 2.49701i 0.0426588 + 0.138296i
\(327\) 3.74015 + 16.5560i 0.206831 + 0.915546i
\(328\) 7.01006 + 2.75125i 0.387066 + 0.151912i
\(329\) 10.0953 + 5.99900i 0.556572 + 0.330735i
\(330\) −19.1952 + 48.5912i −1.05666 + 2.67486i
\(331\) 0.278653 1.22086i 0.0153161 0.0671044i −0.966692 0.255941i \(-0.917615\pi\)
0.982008 + 0.188837i \(0.0604718\pi\)
\(332\) −6.22621 15.8641i −0.341708 0.870657i
\(333\) −26.6644 0.118344i −1.46120 0.00648520i
\(334\) −2.42556 0.951962i −0.132721 0.0520890i
\(335\) −33.1647 + 22.6113i −1.81198 + 1.23539i
\(336\) 9.03971 + 19.5040i 0.493157 + 1.06403i
\(337\) −6.74049 4.59559i −0.367178 0.250338i 0.365649 0.930753i \(-0.380847\pi\)
−0.732827 + 0.680415i \(0.761799\pi\)
\(338\) −13.5186 19.8282i −0.735317 1.07851i
\(339\) −4.55860 2.64541i −0.247589 0.143679i
\(340\) 2.19950 + 29.3503i 0.119285 + 1.59174i
\(341\) −21.4936 3.23964i −1.16394 0.175436i
\(342\) 31.5394 + 15.3614i 1.70546 + 0.830650i
\(343\) −7.40073 16.9773i −0.399602 0.916689i
\(344\) −2.32698 1.34348i −0.125462 0.0724356i
\(345\) 5.41320 + 36.4631i 0.291437 + 1.96311i
\(346\) −14.5764 + 30.2681i −0.783630 + 1.62722i
\(347\) 33.2496 7.58902i 1.78493 0.407400i 0.802902 0.596111i \(-0.203288\pi\)
0.982033 + 0.188711i \(0.0604310\pi\)
\(348\) −1.05074 0.841760i −0.0563257 0.0451231i
\(349\) −28.3561 2.12500i −1.51787 0.113748i −0.710458 0.703740i \(-0.751512\pi\)
−0.807409 + 0.589991i \(0.799131\pi\)
\(350\) −29.0723 37.4108i −1.55398 1.99969i
\(351\) 1.54596 2.23538i 0.0825172 0.119316i
\(352\) −11.0065 + 28.0440i −0.586647 + 1.49475i
\(353\) 4.48023 + 3.05457i 0.238459 + 0.162578i 0.676653 0.736302i \(-0.263430\pi\)
−0.438195 + 0.898880i \(0.644382\pi\)
\(354\) −19.4302 7.67558i −1.03270 0.407952i
\(355\) −40.0519 + 43.1656i −2.12573 + 2.29099i
\(356\) −7.52152 1.13369i −0.398640 0.0600853i
\(357\) −15.7318 + 16.4597i −0.832616 + 0.871142i
\(358\) 2.85172 0.429828i 0.150718 0.0227171i
\(359\) 7.99420 11.7253i 0.421918 0.618840i −0.555155 0.831747i \(-0.687341\pi\)
0.977072 + 0.212907i \(0.0682933\pi\)
\(360\) −1.46779 + 9.45325i −0.0773591 + 0.498230i
\(361\) 9.72824 16.8498i 0.512013 0.886832i
\(362\) 18.7838 0.987254
\(363\) −10.3676 5.02114i −0.544157 0.263542i
\(364\) 0.452685 + 2.10499i 0.0237272 + 0.110331i
\(365\) 2.01991 + 2.17695i 0.105727 + 0.113947i
\(366\) 6.48500 + 11.2901i 0.338977 + 0.590145i
\(367\) 15.7684 + 6.18866i 0.823106 + 0.323045i 0.739249 0.673432i \(-0.235181\pi\)
0.0838574 + 0.996478i \(0.473276\pi\)
\(368\) 3.90816 + 25.9289i 0.203727 + 1.35164i
\(369\) 6.11903 26.2712i 0.318544 1.36762i
\(370\) 62.2145 14.2001i 3.23438 0.738226i
\(371\) 28.7543 + 4.70445i 1.49285 + 0.244243i
\(372\) 13.9056 1.01105i 0.720970 0.0524206i
\(373\) 11.1800 19.3644i 0.578880 1.00265i −0.416729 0.909031i \(-0.636823\pi\)
0.995608 0.0936179i \(-0.0298432\pi\)
\(374\) −39.3625 −2.03538
\(375\) −2.15035 29.5750i −0.111044 1.52725i
\(376\) 1.61292 + 3.34926i 0.0831798 + 0.172725i
\(377\) 0.162931 + 0.204309i 0.00839138 + 0.0105225i
\(378\) 21.6963 14.1890i 1.11594 0.729802i
\(379\) 22.6786 28.4380i 1.16492 1.46076i 0.303526 0.952823i \(-0.401836\pi\)
0.861393 0.507939i \(-0.169593\pi\)
\(380\) −35.8144 8.17440i −1.83724 0.419338i
\(381\) −1.61411 + 4.08601i −0.0826935 + 0.209333i
\(382\) −5.82034 + 2.80293i −0.297794 + 0.143410i
\(383\) −11.0393 + 1.66391i −0.564084 + 0.0850220i −0.424893 0.905243i \(-0.639688\pi\)
−0.139191 + 0.990266i \(0.544450\pi\)
\(384\) −1.71184 + 11.1888i −0.0873571 + 0.570976i
\(385\) 35.2648 23.3992i 1.79726 1.19253i
\(386\) −7.31165 15.1828i −0.372153 0.772784i
\(387\) −3.55598 + 8.94358i −0.180761 + 0.454628i
\(388\) −6.09656 + 19.7646i −0.309506 + 1.00339i
\(389\) −25.0791 + 1.87942i −1.27156 + 0.0952902i −0.693352 0.720599i \(-0.743867\pi\)
−0.578208 + 0.815889i \(0.696248\pi\)
\(390\) −2.38980 + 6.04959i −0.121012 + 0.306333i
\(391\) −24.0521 + 13.8865i −1.21637 + 0.702271i
\(392\) 1.01927 5.77343i 0.0514808 0.291602i
\(393\) −2.84329 + 12.3311i −0.143425 + 0.622020i
\(394\) 1.85049 2.32044i 0.0932262 0.116902i
\(395\) 17.7138 12.0770i 0.891276 0.607662i
\(396\) 19.0985 + 4.44838i 0.959736 + 0.223539i
\(397\) −24.8451 + 1.86189i −1.24694 + 0.0934454i −0.681794 0.731544i \(-0.738800\pi\)
−0.565148 + 0.824990i \(0.691181\pi\)
\(398\) 0.910596 12.1511i 0.0456440 0.609077i
\(399\) −13.8435 24.8182i −0.693040 1.24247i
\(400\) −3.32911 44.4239i −0.166456 2.22120i
\(401\) −4.82031 31.9807i −0.240715 1.59704i −0.703584 0.710613i \(-0.748418\pi\)
0.462869 0.886427i \(-0.346820\pi\)
\(402\) 23.3641 + 25.2929i 1.16530 + 1.26149i
\(403\) −2.67594 0.403334i −0.133298 0.0200915i
\(404\) −2.62525 + 0.809782i −0.130611 + 0.0402881i
\(405\) 34.2655 + 0.304165i 1.70267 + 0.0151141i
\(406\) 0.704692 + 2.39087i 0.0349733 + 0.118657i
\(407\) 5.56553 + 36.9249i 0.275873 + 1.83030i
\(408\) −7.03042 + 1.58824i −0.348057 + 0.0786296i
\(409\) 26.4136 + 6.02872i 1.30607 + 0.298101i 0.818259 0.574850i \(-0.194940\pi\)
0.487808 + 0.872951i \(0.337797\pi\)
\(410\) 64.5557i 3.18818i
\(411\) 12.2512 13.1450i 0.604308 0.648397i
\(412\) −9.69491 + 10.4486i −0.477634 + 0.514767i
\(413\) 9.35662 + 14.1013i 0.460409 + 0.693880i
\(414\) 30.2581 9.18651i 1.48710 0.451492i
\(415\) −30.5720 + 28.3667i −1.50072 + 1.39247i
\(416\) −1.37030 + 3.49147i −0.0671845 + 0.171183i
\(417\) −4.09803 0.316251i −0.200681 0.0154869i
\(418\) 14.4810 46.9464i 0.708291 2.29622i
\(419\) −16.4339 + 15.2484i −0.802849 + 0.744935i −0.970549 0.240903i \(-0.922557\pi\)
0.167700 + 0.985838i \(0.446366\pi\)
\(420\) −18.7564 + 19.6243i −0.915221 + 0.957569i
\(421\) −7.39355 6.86022i −0.360340 0.334346i 0.479139 0.877739i \(-0.340949\pi\)
−0.839479 + 0.543393i \(0.817139\pi\)
\(422\) 6.18933 3.57341i 0.301292 0.173951i
\(423\) 11.0350 7.45202i 0.536541 0.362329i
\(424\) 6.76122 + 6.27350i 0.328354 + 0.304668i
\(425\) 42.5112 20.4723i 2.06210 0.993053i
\(426\) 41.6726 + 28.5476i 2.01904 + 1.38313i
\(427\) 0.920343 10.5068i 0.0445385 0.508460i
\(428\) 0.327036 2.16975i 0.0158079 0.104879i
\(429\) −3.42560 1.65906i −0.165390 0.0801001i
\(430\) 3.43300 22.7765i 0.165554 1.09838i
\(431\) −17.0879 1.28056i −0.823093 0.0616823i −0.343477 0.939161i \(-0.611605\pi\)
−0.479616 + 0.877479i \(0.659224\pi\)
\(432\) 24.3748 + 0.162274i 1.17273 + 0.00780741i
\(433\) 1.46725 3.04677i 0.0705114 0.146418i −0.862734 0.505658i \(-0.831250\pi\)
0.933245 + 0.359240i \(0.116964\pi\)
\(434\) −22.1900 13.1861i −1.06516 0.632954i
\(435\) −0.978117 + 3.14617i −0.0468971 + 0.150847i
\(436\) −12.5972 + 8.58866i −0.603299 + 0.411322i
\(437\) −7.71348 33.7950i −0.368986 1.61663i
\(438\) 1.59275 1.98818i 0.0761047 0.0949991i
\(439\) 16.2766 + 12.9801i 0.776839 + 0.619508i 0.929522 0.368767i \(-0.120220\pi\)
−0.152683 + 0.988275i \(0.548791\pi\)
\(440\) 13.3972 0.638687
\(441\) −20.9908 0.621141i −0.999562 0.0295781i
\(442\) −4.90061 −0.233098
\(443\) 16.8945 + 13.4729i 0.802682 + 0.640117i 0.936413 0.350900i \(-0.114124\pi\)
−0.133731 + 0.991018i \(0.542696\pi\)
\(444\) −8.70119 22.3158i −0.412940 1.05906i
\(445\) 4.14208 + 18.1476i 0.196353 + 0.860281i
\(446\) 36.4508 24.8517i 1.72599 1.17676i
\(447\) 7.24395 1.63648i 0.342627 0.0774028i
\(448\) −7.55036 + 7.93490i −0.356721 + 0.374889i
\(449\) 10.3723 21.5384i 0.489501 1.01646i −0.499190 0.866493i \(-0.666369\pi\)
0.988691 0.149967i \(-0.0479168\pi\)
\(450\) −52.4283 + 11.7219i −2.47149 + 0.552574i
\(451\) −37.6701 2.82298i −1.77381 0.132929i
\(452\) 0.705627 4.68153i 0.0331899 0.220201i
\(453\) −20.1689 + 13.6855i −0.947619 + 0.643000i
\(454\) −2.84140 + 18.8514i −0.133353 + 0.884741i
\(455\) 4.39045 2.91319i 0.205828 0.136572i
\(456\) 0.692172 8.96926i 0.0324139 0.420024i
\(457\) 12.5064 6.02276i 0.585024 0.281733i −0.117868 0.993029i \(-0.537606\pi\)
0.702892 + 0.711296i \(0.251892\pi\)
\(458\) 8.41880 + 7.81151i 0.393385 + 0.365008i
\(459\) 9.27191 + 24.0949i 0.432776 + 1.12465i
\(460\) −28.6764 + 16.5564i −1.33705 + 0.771944i
\(461\) −28.2312 26.1947i −1.31486 1.22001i −0.958309 0.285735i \(-0.907762\pi\)
−0.356550 0.934276i \(-0.616047\pi\)
\(462\) −24.2972 26.9756i −1.13041 1.25502i
\(463\) −5.09587 + 4.72828i −0.236825 + 0.219742i −0.789653 0.613554i \(-0.789739\pi\)
0.552828 + 0.833296i \(0.313549\pi\)
\(464\) −0.690803 + 2.23953i −0.0320697 + 0.103967i
\(465\) −14.7355 30.7730i −0.683341 1.42706i
\(466\) 5.40380 13.7687i 0.250326 0.637820i
\(467\) −7.75639 + 7.19687i −0.358923 + 0.333032i −0.838936 0.544229i \(-0.816822\pi\)
0.480014 + 0.877261i \(0.340632\pi\)
\(468\) 2.37776 + 0.553822i 0.109912 + 0.0256004i
\(469\) −3.81009 27.6311i −0.175934 1.27588i
\(470\) −21.6751 + 23.3602i −0.999798 + 1.07753i
\(471\) 0.376746 + 1.23107i 0.0173595 + 0.0567248i
\(472\) 5.35714i 0.246582i
\(473\) 13.1406 + 2.99926i 0.604205 + 0.137906i
\(474\) −12.4791 13.5093i −0.573185 0.620502i
\(475\) 8.77727 + 58.2333i 0.402729 + 2.67193i
\(476\) −18.9432 7.71088i −0.868261 0.353428i
\(477\) 18.7318 27.2143i 0.857672 1.24606i
\(478\) 31.4928 9.71426i 1.44045 0.444320i
\(479\) 1.96795 + 0.296620i 0.0899178 + 0.0135529i 0.193847 0.981032i \(-0.437903\pi\)
−0.103929 + 0.994585i \(0.533142\pi\)
\(480\) −46.1266 + 10.4205i −2.10538 + 0.475627i
\(481\) 0.692907 + 4.59714i 0.0315938 + 0.209611i
\(482\) 2.04637 + 27.3068i 0.0932094 + 1.24379i
\(483\) −24.3632 7.91154i −1.10856 0.359988i
\(484\) 0.773279 10.3187i 0.0351490 0.469031i
\(485\) 50.4745 3.78254i 2.29193 0.171756i
\(486\) −4.05834 29.1136i −0.184090 1.32062i
\(487\) −28.4001 + 19.3628i −1.28693 + 0.877414i −0.996828 0.0795821i \(-0.974641\pi\)
−0.290101 + 0.956996i \(0.593689\pi\)
\(488\) 2.08167 2.61033i 0.0942326 0.118164i
\(489\) −1.75583 1.63644i −0.0794016 0.0740024i
\(490\) 49.2632 9.94796i 2.22549 0.449403i
\(491\) 2.91886 1.68521i 0.131726 0.0760523i −0.432689 0.901543i \(-0.642435\pi\)
0.564415 + 0.825491i \(0.309102\pi\)
\(492\) 23.9676 3.55816i 1.08054 0.160414i
\(493\) −2.47535 + 0.185502i −0.111484 + 0.00835459i
\(494\) 1.80289 5.84481i 0.0811157 0.262971i
\(495\) −6.94161 47.4836i −0.312002 2.13423i
\(496\) −10.5304 21.8667i −0.472830 0.981843i
\(497\) −14.4692 38.2749i −0.649032 1.71687i
\(498\) 27.9211 + 22.3679i 1.25118 + 1.00233i
\(499\) 25.2538 3.80639i 1.13051 0.170397i 0.442967 0.896538i \(-0.353926\pi\)
0.687546 + 0.726140i \(0.258688\pi\)
\(500\) 23.9987 11.5572i 1.07325 0.516852i
\(501\) 2.36742 0.351461i 0.105769 0.0157021i
\(502\) −27.1893 6.20577i −1.21352 0.276977i
\(503\) −21.3294 + 26.7463i −0.951032 + 1.19256i 0.0301646 + 0.999545i \(0.490397\pi\)
−0.981197 + 0.193011i \(0.938175\pi\)
\(504\) −5.42809 3.83766i −0.241786 0.170943i
\(505\) 4.19179 + 5.25634i 0.186532 + 0.233904i
\(506\) −19.2142 39.8987i −0.854174 1.77371i
\(507\) 19.8386 + 9.60806i 0.881063 + 0.426709i
\(508\) −3.94635 −0.175091
\(509\) −0.0821706 + 0.142324i −0.00364215 + 0.00630839i −0.867841 0.496842i \(-0.834493\pi\)
0.864199 + 0.503151i \(0.167826\pi\)
\(510\) −34.6921 51.1274i −1.53619 2.26396i
\(511\) −1.97943 + 0.583425i −0.0875650 + 0.0258092i
\(512\) −25.1343 + 5.73674i −1.11079 + 0.253530i
\(513\) −32.1483 + 2.19406i −1.41938 + 0.0968701i
\(514\) 1.42211 + 9.43506i 0.0627264 + 0.416162i
\(515\) 32.4698 + 12.7435i 1.43079 + 0.561544i
\(516\) −8.64546 0.0191853i −0.380595 0.000844587i
\(517\) −12.6835 13.6696i −0.557820 0.601187i
\(518\) −10.4102 + 43.1049i −0.457399 + 1.89392i
\(519\) −2.23771 30.7765i −0.0982247 1.35094i
\(520\) 1.66795 0.0731444
\(521\) −13.6752 + 23.6862i −0.599123 + 1.03771i 0.393827 + 0.919184i \(0.371151\pi\)
−0.992951 + 0.118528i \(0.962183\pi\)
\(522\) 2.79283 + 0.433637i 0.122239 + 0.0189798i
\(523\) −5.23338 + 7.67596i −0.228840 + 0.335646i −0.923435 0.383754i \(-0.874631\pi\)
0.694596 + 0.719400i \(0.255583\pi\)
\(524\) −11.2403 + 1.69420i −0.491035 + 0.0740116i
\(525\) 40.2707 + 16.4966i 1.75756 + 0.719969i
\(526\) −46.0935 6.94748i −2.00977 0.302924i
\(527\) 17.4845 18.8438i 0.761635 0.820848i
\(528\) −5.01277 33.7658i −0.218153 1.46947i
\(529\) −6.81287 4.64494i −0.296212 0.201954i
\(530\) −28.8863 + 73.6012i −1.25474 + 3.19703i
\(531\) 18.9872 2.77574i 0.823976 0.120457i
\(532\) 16.1655 19.7562i 0.700865 0.856541i
\(533\) −4.68991 0.351460i −0.203143 0.0152234i
\(534\) 14.8770 5.80073i 0.643791 0.251022i
\(535\) −5.23508 + 1.19487i −0.226332 + 0.0516589i
\(536\) 3.83100 7.95516i 0.165474 0.343611i
\(537\) −2.07469 + 1.64699i −0.0895296 + 0.0710730i
\(538\) −12.8194 7.40128i −0.552683 0.319092i
\(539\) 3.65067 + 29.1815i 0.157245 + 1.25694i
\(540\) 11.0545 + 28.7274i 0.475712 + 1.23623i
\(541\) 25.0449 + 3.77492i 1.07677 + 0.162296i 0.663397 0.748267i \(-0.269114\pi\)
0.413369 + 0.910564i \(0.364352\pi\)
\(542\) −0.0712231 0.950407i −0.00305930 0.0408235i
\(543\) −14.9609 + 8.59347i −0.642034 + 0.368781i
\(544\) −20.0702 29.4375i −0.860502 1.26212i
\(545\) 30.8276 + 21.0179i 1.32051 + 0.900308i
\(546\) −3.02499 3.35845i −0.129458 0.143728i
\(547\) −16.6641 + 11.3614i −0.712506 + 0.485778i −0.864519 0.502600i \(-0.832377\pi\)
0.152013 + 0.988378i \(0.451424\pi\)
\(548\) 15.0252 + 5.89698i 0.641847 + 0.251906i
\(549\) −10.3303 6.02551i −0.440888 0.257163i
\(550\) 27.4864 + 70.0341i 1.17202 + 2.98626i
\(551\) 0.689414 3.02052i 0.0293700 0.128678i
\(552\) −5.04167 6.35091i −0.214588 0.270313i
\(553\) 2.03503 + 14.7582i 0.0865382 + 0.627581i
\(554\) −15.1813 5.95822i −0.644992 0.253141i
\(555\) −43.0561 + 39.7728i −1.82763 + 1.68826i
\(556\) −1.08826 3.52806i −0.0461526 0.149623i
\(557\) 9.21964 + 5.32296i 0.390649 + 0.225541i 0.682441 0.730941i \(-0.260918\pi\)
−0.291793 + 0.956482i \(0.594252\pi\)
\(558\) −24.2556 + 16.3799i −1.02682 + 0.693418i
\(559\) 1.63600 + 0.373406i 0.0691954 + 0.0157934i
\(560\) 43.7681 + 17.8159i 1.84954 + 0.752859i
\(561\) 31.3514 18.0081i 1.32366 0.760302i
\(562\) 19.7631 + 6.09611i 0.833656 + 0.257149i
\(563\) −4.81038 6.03202i −0.202733 0.254219i 0.670063 0.742304i \(-0.266267\pi\)
−0.872796 + 0.488085i \(0.837696\pi\)
\(564\) 9.86764 + 6.75977i 0.415503 + 0.284638i
\(565\) −11.2954 + 2.57811i −0.475202 + 0.108462i
\(566\) 5.94251 + 26.0358i 0.249782 + 1.09437i
\(567\) −10.7893 + 21.2271i −0.453107 + 0.891456i
\(568\) 2.88232 12.6283i 0.120940 0.529871i
\(569\) 11.1182i 0.466098i −0.972465 0.233049i \(-0.925130\pi\)
0.972465 0.233049i \(-0.0748703\pi\)
\(570\) 73.7410 22.5670i 3.08867 0.945228i
\(571\) 9.66994 42.3668i 0.404674 1.77299i −0.203382 0.979100i \(-0.565193\pi\)
0.608056 0.793894i \(-0.291950\pi\)
\(572\) 0.255503 3.40945i 0.0106831 0.142556i
\(573\) 3.35346 4.89524i 0.140093 0.204502i
\(574\) −40.1688 19.9702i −1.67662 0.833542i
\(575\) 41.5024 + 33.0970i 1.73077 + 1.38024i
\(576\) 4.48606 + 11.5812i 0.186919 + 0.482548i
\(577\) 41.3882 16.2437i 1.72301 0.676233i 0.723119 0.690724i \(-0.242708\pi\)
0.999895 + 0.0144906i \(0.00461265\pi\)
\(578\) 8.16483 11.9756i 0.339612 0.498120i
\(579\) 12.7696 + 8.74774i 0.530687 + 0.363544i
\(580\) −2.95127 + 0.221167i −0.122545 + 0.00918345i
\(581\) −8.19334 27.7982i −0.339917 1.15326i
\(582\) −9.56786 42.3525i −0.396601 1.75557i
\(583\) −41.6852 20.0745i −1.72642 0.831402i
\(584\) −0.624231 0.192550i −0.0258309 0.00796777i
\(585\) −0.864228 5.91169i −0.0357314 0.244418i
\(586\) 1.61725 10.7298i 0.0668081 0.443243i
\(587\) −0.737985 + 1.27823i −0.0304599 + 0.0527581i −0.880854 0.473389i \(-0.843031\pi\)
0.850394 + 0.526147i \(0.176364\pi\)
\(588\) −6.40867 17.7417i −0.264289 0.731655i
\(589\) 16.0420 + 27.7856i 0.661001 + 1.14489i
\(590\) −42.7491 + 16.7778i −1.75995 + 0.690731i
\(591\) −0.412289 + 2.69477i −0.0169593 + 0.110848i
\(592\) −30.5646 + 28.3598i −1.25620 + 1.16558i
\(593\) 3.22467 + 43.0303i 0.132422 + 1.76704i 0.528602 + 0.848870i \(0.322716\pi\)
−0.396181 + 0.918173i \(0.629665\pi\)
\(594\) −39.4167 + 11.8717i −1.61729 + 0.487100i
\(595\) −0.629225 + 50.0467i −0.0257957 + 2.05171i
\(596\) 3.75791 + 5.51184i 0.153930 + 0.225774i
\(597\) 4.83376 + 10.0947i 0.197833 + 0.413147i
\(598\) −2.39216 4.96737i −0.0978227 0.203131i
\(599\) 28.8613 + 23.0161i 1.17924 + 0.940412i 0.999065 0.0432232i \(-0.0137626\pi\)
0.180174 + 0.983635i \(0.442334\pi\)
\(600\) 7.73507 + 11.3995i 0.315783 + 0.465384i
\(601\) 10.7900 4.23475i 0.440132 0.172739i −0.134919 0.990857i \(-0.543077\pi\)
0.575051 + 0.818117i \(0.304982\pi\)
\(602\) 13.1103 + 9.18202i 0.534338 + 0.374231i
\(603\) −30.1804 9.45630i −1.22904 0.385090i
\(604\) −18.0898 12.3334i −0.736065 0.501841i
\(605\) −24.1974 + 7.46391i −0.983764 + 0.303451i
\(606\) 3.93212 4.21900i 0.159731 0.171385i
\(607\) −15.8240 9.13599i −0.642276 0.370818i 0.143215 0.989692i \(-0.454256\pi\)
−0.785491 + 0.618873i \(0.787589\pi\)
\(608\) 42.4929 13.1073i 1.72331 0.531572i
\(609\) −1.65508 1.58188i −0.0670673 0.0641012i
\(610\) 27.3495 + 8.43619i 1.10735 + 0.341572i
\(611\) −1.57909 1.70186i −0.0638832 0.0688497i
\(612\) −17.0700 + 15.6982i −0.690013 + 0.634563i
\(613\) 22.7022 3.42181i 0.916934 0.138206i 0.326413 0.945227i \(-0.394160\pi\)
0.590522 + 0.807022i \(0.298922\pi\)
\(614\) −3.67829 16.1156i −0.148444 0.650375i
\(615\) −29.5338 51.4173i −1.19092 2.07334i
\(616\) −4.14442 + 8.33623i −0.166983 + 0.335876i
\(617\) 12.6206 + 40.9151i 0.508088 + 1.64718i 0.738624 + 0.674118i \(0.235476\pi\)
−0.230536 + 0.973064i \(0.574048\pi\)
\(618\) 6.72297 29.1568i 0.270437 1.17286i
\(619\) 34.8340 20.1114i 1.40010 0.808346i 0.405694 0.914009i \(-0.367030\pi\)
0.994402 + 0.105663i \(0.0336965\pi\)
\(620\) 20.8461 22.4667i 0.837198 0.902285i
\(621\) −19.8972 + 21.1598i −0.798446 + 0.849112i
\(622\) −9.50939 + 7.58349i −0.381292 + 0.304070i
\(623\) −12.5735 3.03661i −0.503745 0.121659i
\(624\) −0.624088 4.20383i −0.0249835 0.168288i
\(625\) −12.9761 12.0400i −0.519043 0.481602i
\(626\) −11.5002 + 14.4208i −0.459641 + 0.576372i
\(627\) 9.94384 + 44.0168i 0.397119 + 1.75786i
\(628\) −0.904158 + 0.721042i −0.0360798 + 0.0287727i
\(629\) −39.7881 19.1610i −1.58646 0.763997i
\(630\) 13.6239 55.3343i 0.542790 2.20457i
\(631\) 5.34325 2.57318i 0.212712 0.102437i −0.324494 0.945888i \(-0.605194\pi\)
0.537206 + 0.843451i \(0.319480\pi\)
\(632\) −2.04620 + 4.24897i −0.0813933 + 0.169015i
\(633\) −3.29486 + 5.67773i −0.130959 + 0.225670i
\(634\) −10.4365 5.02598i −0.414488 0.199607i
\(635\) 3.52824 + 8.98980i 0.140014 + 0.356750i
\(636\) 28.9181 + 6.66792i 1.14668 + 0.264400i
\(637\) 0.454507 + 3.63309i 0.0180082 + 0.143948i
\(638\) 3.95802i 0.156700i
\(639\) −46.2517 3.67259i −1.82969 0.145285i
\(640\) 14.0163 + 20.5582i 0.554044 + 0.812634i
\(641\) −27.9812 30.1566i −1.10519 1.19111i −0.980003 0.198982i \(-0.936237\pi\)
−0.125189 0.992133i \(-0.539954\pi\)
\(642\) 1.67335 + 4.29160i 0.0660417 + 0.169376i
\(643\) 11.5929 17.0036i 0.457178 0.670557i −0.526566 0.850134i \(-0.676521\pi\)
0.983744 + 0.179577i \(0.0574730\pi\)
\(644\) −1.43092 22.9652i −0.0563861 0.904956i
\(645\) 7.68578 + 19.7116i 0.302627 + 0.776142i
\(646\) 36.2255 + 45.4253i 1.42527 + 1.78724i
\(647\) −0.661331 + 8.82484i −0.0259996 + 0.346940i 0.969000 + 0.247061i \(0.0794648\pi\)
−0.995000 + 0.0998795i \(0.968154\pi\)
\(648\) −6.56110 + 3.71079i −0.257744 + 0.145774i
\(649\) −7.92093 25.6790i −0.310924 1.00799i
\(650\) 3.42204 + 8.71922i 0.134224 + 0.341996i
\(651\) 23.7065 + 0.350673i 0.929130 + 0.0137440i
\(652\) 0.787682 2.00698i 0.0308480 0.0785994i
\(653\) −4.21065 0.315545i −0.164775 0.0123482i −0.00791311 0.999969i \(-0.502519\pi\)
−0.156862 + 0.987620i \(0.550138\pi\)
\(654\) 13.9509 28.8057i 0.545525 1.12639i
\(655\) 13.9088 + 24.0908i 0.543463 + 0.941305i
\(656\) −21.0896 36.5283i −0.823411 1.42619i
\(657\) −0.359014 + 2.31222i −0.0140065 + 0.0902084i
\(658\) −7.83038 20.7135i −0.305260 0.807495i
\(659\) 11.5297 37.3783i 0.449132 1.45605i −0.394384 0.918946i \(-0.629042\pi\)
0.843516 0.537104i \(-0.180482\pi\)
\(660\) 37.3790 21.4703i 1.45498 0.835732i
\(661\) −0.761629 + 0.607379i −0.0296239 + 0.0236243i −0.638190 0.769879i \(-0.720317\pi\)
0.608566 + 0.793503i \(0.291745\pi\)
\(662\) −1.84619 + 1.47229i −0.0717544 + 0.0572222i
\(663\) 3.90324 2.24200i 0.151589 0.0870721i
\(664\) 2.70408 8.76641i 0.104939 0.340203i
\(665\) −59.4577 19.1621i −2.30567 0.743075i
\(666\) 39.1721 + 31.5242i 1.51789 + 1.22154i
\(667\) −1.39633 2.41852i −0.0540662 0.0936455i
\(668\) 1.07495 + 1.86186i 0.0415910 + 0.0720377i
\(669\) −17.6628 + 36.4699i −0.682882 + 1.41001i
\(670\) 75.4791 + 5.65637i 2.91601 + 0.218525i
\(671\) −6.11874 + 15.5903i −0.236211 + 0.601856i
\(672\) 7.78525 31.9252i 0.300322 1.23154i
\(673\) −0.502139 1.27943i −0.0193561 0.0493184i 0.920869 0.389872i \(-0.127481\pi\)
−0.940225 + 0.340554i \(0.889386\pi\)
\(674\) 4.53439 + 14.7001i 0.174658 + 0.566228i
\(675\) 36.3954 33.3219i 1.40086 1.28256i
\(676\) −1.47969 + 19.7450i −0.0569110 + 0.759424i
\(677\) −28.6911 35.9775i −1.10269 1.38273i −0.916415 0.400230i \(-0.868930\pi\)
−0.186274 0.982498i \(-0.559641\pi\)
\(678\) 3.61048 + 9.25972i 0.138660 + 0.355617i
\(679\) −13.2606 + 32.5771i −0.508895 + 1.25020i
\(680\) −8.92517 + 13.0908i −0.342265 + 0.502010i
\(681\) −6.36130 16.3147i −0.243766 0.625180i
\(682\) 27.8790 + 30.0464i 1.06754 + 1.15054i
\(683\) −1.06270 1.55870i −0.0406632 0.0596419i 0.805369 0.592774i \(-0.201967\pi\)
−0.846032 + 0.533132i \(0.821015\pi\)
\(684\) −12.4429 26.1341i −0.475767 0.999261i
\(685\) 39.4998i 1.50921i
\(686\) −9.04956 + 33.7307i −0.345514 + 1.28785i
\(687\) −10.2791 2.37015i −0.392173 0.0904270i
\(688\) 5.49829 + 14.0094i 0.209620 + 0.534104i
\(689\) −5.18979 2.49927i −0.197715 0.0952147i
\(690\) 34.8895 60.1218i 1.32822 2.28880i
\(691\) 15.9300 33.0789i 0.606005 1.25838i −0.341873 0.939746i \(-0.611061\pi\)
0.947877 0.318635i \(-0.103224\pi\)
\(692\) 24.9736 12.0267i 0.949355 0.457185i
\(693\) 31.6934 + 10.3697i 1.20393 + 0.393912i
\(694\) −57.9424 27.9036i −2.19946 1.05920i
\(695\) −7.06397 + 5.63333i −0.267952 + 0.213684i
\(696\) −0.159703 0.706931i −0.00605352 0.0267961i
\(697\) 27.8541 34.9279i 1.05505 1.32299i
\(698\) 39.3069 + 36.4715i 1.48779 + 1.38047i
\(699\) 1.99506 + 13.4386i 0.0754601 + 0.508296i
\(700\) −0.491449 + 39.0884i −0.0185750 + 1.47740i
\(701\) 13.1075 10.4529i 0.495062 0.394799i −0.343885 0.939012i \(-0.611743\pi\)
0.838947 + 0.544213i \(0.183172\pi\)
\(702\) −4.90737 + 1.47802i −0.185217 + 0.0557842i
\(703\) 37.4903 40.4050i 1.41397 1.52390i
\(704\) 15.0626 8.69642i 0.567695 0.327759i
\(705\) 6.57662 28.5221i 0.247690 1.07421i
\(706\) −3.01389 9.77080i −0.113429 0.367729i
\(707\) −4.56741 + 0.982238i −0.171775 + 0.0369409i
\(708\) 8.58534 + 14.9467i 0.322657 + 0.561733i
\(709\) −4.90669 21.4976i −0.184275 0.807360i −0.979564 0.201131i \(-0.935538\pi\)
0.795290 0.606229i \(-0.207319\pi\)
\(710\) 109.799 16.5495i 4.12067 0.621091i
\(711\) 16.1198 + 5.05075i 0.604539 + 0.189418i
\(712\) −2.78507 3.00159i −0.104375 0.112489i
\(713\) 27.6352 + 8.52434i 1.03495 + 0.319239i
\(714\) 42.5453 5.77046i 1.59222 0.215954i
\(715\) −7.99518 + 2.46618i −0.299003 + 0.0922301i
\(716\) −2.06069 1.18974i −0.0770115 0.0444626i
\(717\) −20.6392 + 22.1450i −0.770785 + 0.827020i
\(718\) −25.5715 + 7.88775i −0.954318 + 0.294368i
\(719\) −37.0074 25.2312i −1.38014 0.940966i −0.999871 0.0160911i \(-0.994878\pi\)
−0.380273 0.924874i \(-0.624170\pi\)
\(720\) 39.4400 36.2705i 1.46984 1.35172i
\(721\) −17.9739 + 16.2617i −0.669384 + 0.605617i
\(722\) −34.1529 + 13.4040i −1.27104 + 0.498845i
\(723\) −14.1226 20.8131i −0.525225 0.774049i
\(724\) −12.1169 9.66293i −0.450322 0.359120i
\(725\) 2.05856 + 4.27464i 0.0764529 + 0.158756i
\(726\) 9.38148 + 19.5920i 0.348180 + 0.727126i
\(727\) −11.5301 16.9116i −0.427629 0.627217i 0.550594 0.834773i \(-0.314401\pi\)
−0.978223 + 0.207557i \(0.933449\pi\)
\(728\) −0.515979 + 1.03786i −0.0191234 + 0.0384656i
\(729\) 16.5517 + 21.3317i 0.613025 + 0.790064i
\(730\) −0.418486 5.58430i −0.0154889 0.206684i
\(731\) −11.6849 + 10.8420i −0.432181 + 0.401005i
\(732\) 1.62467 10.6190i 0.0600496 0.392491i
\(733\) −5.20708 + 2.04363i −0.192328 + 0.0754831i −0.459550 0.888152i \(-0.651989\pi\)
0.267222 + 0.963635i \(0.413894\pi\)
\(734\) −15.9713 27.6631i −0.589511 1.02106i
\(735\) −34.6860 + 30.4610i −1.27941 + 1.12357i
\(736\) 20.0416 34.7131i 0.738743 1.27954i
\(737\) −6.60131 + 43.7968i −0.243162 + 1.61328i
\(738\) −39.9086 + 31.5373i −1.46906 + 1.16091i
\(739\) −7.22921 2.22992i −0.265931 0.0820288i 0.158922 0.987291i \(-0.449198\pi\)
−0.424853 + 0.905262i \(0.639674\pi\)
\(740\) −47.4379 22.8449i −1.74385 0.839794i
\(741\) 1.23800 + 5.48008i 0.0454792 + 0.201316i
\(742\) −36.8613 40.7426i −1.35322 1.49571i
\(743\) 47.2385 3.54003i 1.73301 0.129871i 0.829519 0.558478i \(-0.188614\pi\)
0.903491 + 0.428607i \(0.140995\pi\)
\(744\) 6.19174 + 4.24162i 0.227000 + 0.155505i
\(745\) 9.19624 13.4884i 0.336924 0.494177i
\(746\) −39.2496 + 15.4043i −1.43703 + 0.563993i
\(747\) −32.4718 5.04182i −1.18808 0.184471i
\(748\) 25.3917 + 20.2492i 0.928412 + 0.740384i
\(749\) 0.875975 3.62709i 0.0320074 0.132531i
\(750\) −31.6015 + 46.1306i −1.15392 + 1.68445i
\(751\) −1.06227 + 14.1750i −0.0387627 + 0.517252i 0.943701 + 0.330799i \(0.107318\pi\)
−0.982464 + 0.186453i \(0.940301\pi\)
\(752\) 4.63316 20.2992i 0.168954 0.740235i
\(753\) 24.4948 7.49616i 0.892640 0.273175i
\(754\) 0.492772i 0.0179457i
\(755\) −11.9224 + 52.2355i −0.433901 + 1.90104i
\(756\) −21.2949 2.00827i −0.774489 0.0730400i
\(757\) 7.85378 + 34.4097i 0.285451 + 1.25064i 0.890695 + 0.454601i \(0.150218\pi\)
−0.605245 + 0.796040i \(0.706925\pi\)
\(758\) −66.8698 + 15.2626i −2.42882 + 0.554363i
\(759\) 33.5571 + 22.9881i 1.21805 + 0.834415i
\(760\) −12.3295 15.4608i −0.447239 0.560820i
\(761\) 22.1479 + 6.83174i 0.802862 + 0.247650i 0.668916 0.743338i \(-0.266759\pi\)
0.133947 + 0.990989i \(0.457235\pi\)
\(762\) 7.18365 4.12626i 0.260236 0.149479i
\(763\) −22.6146 + 12.6802i −0.818703 + 0.459053i
\(764\) 5.19645 + 1.18606i 0.188001 + 0.0429100i
\(765\) 51.0221 + 24.8505i 1.84471 + 0.898472i
\(766\) 18.2316 + 10.5260i 0.658733 + 0.380320i
\(767\) −0.986153 3.19703i −0.0356079 0.115438i
\(768\) 26.2129 24.2140i 0.945876 0.873747i
\(769\) −0.742608 0.291452i −0.0267791 0.0105100i 0.351914 0.936032i \(-0.385531\pi\)
−0.378693 + 0.925522i \(0.623626\pi\)
\(770\) −79.5014 6.96392i −2.86503 0.250962i
\(771\) −5.44916 6.86422i −0.196247 0.247209i
\(772\) −3.09392 + 13.5553i −0.111353 + 0.487867i
\(773\) −2.54100 6.47437i −0.0913935 0.232867i 0.877867 0.478905i \(-0.158966\pi\)
−0.969260 + 0.246038i \(0.920871\pi\)
\(774\) 15.7577 9.00467i 0.566397 0.323666i
\(775\) −45.7362 17.9502i −1.64289 0.644788i
\(776\) −9.19945 + 6.27208i −0.330241 + 0.225155i
\(777\) −11.4287 39.0947i −0.410002 1.40252i
\(778\) 39.1837 + 26.7150i 1.40480 + 0.957778i
\(779\) 31.4102 + 46.0703i 1.12539 + 1.65064i
\(780\) 4.65368 2.67305i 0.166628 0.0957106i
\(781\) 4.85567 + 64.7944i 0.173749 + 2.31852i
\(782\) 51.7865 + 7.80557i 1.85188 + 0.279126i
\(783\) −2.42282 + 0.932320i −0.0865844 + 0.0333184i
\(784\) −24.6253 + 21.7227i −0.879475 + 0.775811i
\(785\) 2.45090 + 1.41503i 0.0874764 + 0.0505045i
\(786\) 18.6896 14.8368i 0.666637 0.529209i
\(787\) 0.711258 1.47694i 0.0253536 0.0526473i −0.887907 0.460022i \(-0.847841\pi\)
0.913261 + 0.407375i \(0.133556\pi\)
\(788\) −2.38740 + 0.544909i −0.0850476 + 0.0194116i
\(789\) 39.8909 15.5540i 1.42016 0.553736i
\(790\) −40.3145 3.02115i −1.43432 0.107488i
\(791\) 1.89004 7.82595i 0.0672020 0.278259i
\(792\) 6.54493 + 8.28223i 0.232564 + 0.294296i
\(793\) −0.761781 + 1.94099i −0.0270516 + 0.0689264i
\(794\) 38.8182 + 26.4658i 1.37761 + 0.939235i
\(795\) −10.6647 71.8371i −0.378239 2.54780i
\(796\) −6.83826 + 7.36989i −0.242376 + 0.261219i
\(797\) −22.6529 3.41438i −0.802407 0.120943i −0.264980 0.964254i \(-0.585365\pi\)
−0.537427 + 0.843310i \(0.680604\pi\)
\(798\) −8.76973 + 52.8654i −0.310445 + 1.87141i
\(799\) 21.8066 3.28682i 0.771463 0.116279i
\(800\) −38.3608 + 56.2650i −1.35626 + 1.98927i
\(801\) −9.19543 + 11.4263i −0.324905 + 0.403729i
\(802\) −30.4935 + 52.8163i −1.07676 + 1.86501i
\(803\) 3.27690 0.115639
\(804\) −2.06019 28.3349i −0.0726573 0.999296i
\(805\) −51.0356 + 23.7917i −1.79877 + 0.838548i
\(806\) 3.47093 + 3.74077i 0.122258 + 0.131763i
\(807\) 13.5964 + 0.0301721i 0.478617 + 0.00106211i
\(808\) −1.37667 0.540303i −0.0484311 0.0190078i
\(809\) 5.12323 + 33.9904i 0.180123 + 1.19504i 0.877943 + 0.478766i \(0.158916\pi\)
−0.697820 + 0.716274i \(0.745846\pi\)
\(810\) −50.1599 40.7348i −1.76244 1.43128i
\(811\) −12.7137 + 2.90183i −0.446440 + 0.101897i −0.439830 0.898081i \(-0.644961\pi\)
−0.00661015 + 0.999978i \(0.502104\pi\)
\(812\) 0.775354 1.90480i 0.0272096 0.0668454i
\(813\) 0.491533 + 0.724395i 0.0172388 + 0.0254056i
\(814\) 35.2078 60.9817i 1.23403 2.13741i
\(815\) −5.27614 −0.184815
\(816\) 36.3330 + 17.5965i 1.27191 + 0.616001i
\(817\) −8.63215 17.9248i −0.302001 0.627111i
\(818\) −31.8534 39.9429i −1.11373 1.39657i
\(819\) 3.94581 + 1.29102i 0.137878 + 0.0451120i
\(820\) 33.2093 41.6432i 1.15972 1.45424i
\(821\) 4.47766 + 1.02200i 0.156271 + 0.0356679i 0.299941 0.953958i \(-0.403033\pi\)
−0.143669 + 0.989626i \(0.545890\pi\)
\(822\) −33.5167 + 4.97579i −1.16903 + 0.173551i
\(823\) −35.5131 + 17.1022i −1.23791 + 0.596146i −0.934244 0.356633i \(-0.883925\pi\)
−0.303665 + 0.952779i \(0.598210\pi\)
\(824\) −7.58716 + 1.14358i −0.264311 + 0.0398385i
\(825\) −53.9325 43.2059i −1.87769 1.50424i
\(826\) 2.78466 31.7902i 0.0968908 1.10612i
\(827\) −11.5093 23.8994i −0.400219 0.831062i −0.999533 0.0305489i \(-0.990274\pi\)
0.599315 0.800514i \(-0.295440\pi\)
\(828\) −24.2445 9.63966i −0.842555 0.335001i
\(829\) −8.47705 + 27.4819i −0.294420 + 0.954487i 0.680654 + 0.732605i \(0.261696\pi\)
−0.975074 + 0.221881i \(0.928780\pi\)
\(830\) 78.4233 5.87702i 2.72211 0.203994i
\(831\) 14.8174 2.19975i 0.514012 0.0763086i
\(832\) 1.87529 1.08270i 0.0650141 0.0375359i
\(833\) −30.9462 15.8734i −1.07222 0.549981i
\(834\) 5.66989 + 5.28435i 0.196332 + 0.182982i
\(835\) 3.28028 4.11334i 0.113519 0.142348i
\(836\) −33.4919 + 22.8344i −1.15834 + 0.789745i
\(837\) 11.8253 24.1431i 0.408743 0.834506i
\(838\) 42.1563 3.15918i 1.45626 0.109132i
\(839\) −1.87506 + 25.0209i −0.0647343 + 0.863819i 0.866449 + 0.499266i \(0.166397\pi\)
−0.931183 + 0.364552i \(0.881222\pi\)
\(840\) −14.4805 + 1.96401i −0.499625 + 0.0677647i
\(841\) 2.14852 + 28.6700i 0.0740869 + 0.988621i
\(842\) 2.83465 + 18.8067i 0.0976886 + 0.648121i
\(843\) −18.5298 + 4.18607i −0.638202 + 0.144176i
\(844\) −5.83084 0.878858i −0.200706 0.0302515i
\(845\) 46.3022 14.2823i 1.59284 0.491327i
\(846\) −25.0303 1.98751i −0.860560 0.0683322i
\(847\) 2.84113 17.3654i 0.0976225 0.596683i
\(848\) −7.69959 51.0835i −0.264405 1.75421i
\(849\) −16.6443 18.0183i −0.571232 0.618388i
\(850\) −86.7437 19.7987i −2.97528 0.679089i
\(851\) 49.6833i 1.70312i
\(852\) −12.1962 39.8529i −0.417835 1.36534i
\(853\) 37.1545 40.0430i 1.27215 1.37105i 0.376414 0.926452i \(-0.377157\pi\)
0.895732 0.444595i \(-0.146653\pi\)
\(854\) −13.7098 + 14.4081i −0.469141 + 0.493035i
\(855\) −48.4089 + 51.7102i −1.65555 + 1.76845i
\(856\) 0.865873 0.803413i 0.0295949 0.0274601i
\(857\) 16.5889 42.2678i 0.566666 1.44384i −0.304337 0.952564i \(-0.598435\pi\)
0.871003 0.491277i \(-0.163470\pi\)
\(858\) 3.09978 + 6.47347i 0.105825 + 0.221001i
\(859\) 0.161481 0.523509i 0.00550966 0.0178619i −0.952776 0.303673i \(-0.901787\pi\)
0.958286 + 0.285811i \(0.0922631\pi\)
\(860\) −13.9314 + 12.9265i −0.475058 + 0.440789i
\(861\) 41.1299 2.47112i 1.40170 0.0842154i
\(862\) 23.6870 + 21.9783i 0.806783 + 0.748585i
\(863\) 41.9147 24.1995i 1.42679 0.823759i 0.429926 0.902864i \(-0.358540\pi\)
0.996866 + 0.0791050i \(0.0252062\pi\)
\(864\) −28.9762 23.4250i −0.985789 0.796935i
\(865\) −49.7245 46.1376i −1.69069 1.56873i
\(866\) −5.74528 + 2.76678i −0.195233 + 0.0940191i
\(867\) −1.02435 + 13.2737i −0.0347888 + 0.450798i
\(868\) 7.53088 + 19.9212i 0.255615 + 0.676170i
\(869\) 3.52586 23.3925i 0.119606 0.793537i
\(870\) 5.14103 3.48841i 0.174297 0.118268i
\(871\) −0.821861 + 5.45269i −0.0278477 + 0.184757i
\(872\) −8.18440 0.613336i −0.277159 0.0207702i
\(873\) 26.9966 + 29.3557i 0.913698 + 0.993539i
\(874\) −28.3612 + 58.8926i −0.959332 + 1.99207i
\(875\) 42.3694 16.0170i 1.43235 0.541475i
\(876\) −2.05022 + 0.463166i −0.0692706 + 0.0156489i
\(877\) 5.64453 3.84838i 0.190602 0.129950i −0.464259 0.885699i \(-0.653679\pi\)
0.654861 + 0.755749i \(0.272727\pi\)
\(878\) −8.73560 38.2732i −0.294812 1.29166i
\(879\) 3.62070 + 9.28593i 0.122123 + 0.313207i
\(880\) −58.6672 46.7855i −1.97767 1.57714i
\(881\) 49.7477 1.67604 0.838022 0.545637i \(-0.183712\pi\)
0.838022 + 0.545637i \(0.183712\pi\)
\(882\) 30.2164 + 25.5949i 1.01744 + 0.861825i
\(883\) 18.0300 0.606756 0.303378 0.952870i \(-0.401885\pi\)
0.303378 + 0.952870i \(0.401885\pi\)
\(884\) 3.16126 + 2.52102i 0.106325 + 0.0847910i
\(885\) 26.3730 32.9206i 0.886520 1.10661i
\(886\) −9.06723 39.7261i −0.304620 1.33463i
\(887\) 2.77045 1.88886i 0.0930227 0.0634218i −0.515915 0.856640i \(-0.672548\pi\)
0.608938 + 0.793218i \(0.291596\pi\)
\(888\) 3.82781 12.3124i 0.128453 0.413176i
\(889\) −6.68523 0.585593i −0.224216 0.0196402i
\(890\) 15.2297 31.6249i 0.510502 1.06007i
\(891\) 25.9634 27.4885i 0.869807 0.920898i
\(892\) −36.2979 2.72015i −1.21534 0.0910773i
\(893\) −4.10235 + 27.2173i −0.137280 + 0.910792i
\(894\) −12.6038 6.10414i −0.421533 0.204153i
\(895\) −0.867870 + 5.75794i −0.0290097 + 0.192467i
\(896\) −17.1280 + 2.36181i −0.572206 + 0.0789024i
\(897\) 4.17785 + 2.86201i 0.139494 + 0.0955597i
\(898\) −40.6149 + 19.5591i −1.35534 + 0.652695i
\(899\) 1.89480 + 1.75812i 0.0631952 + 0.0586366i
\(900\) 39.8502 + 19.4092i 1.32834 + 0.646973i
\(901\) 47.3859 27.3583i 1.57865 0.911436i
\(902\) 52.2179 + 48.4511i 1.73866 + 1.61324i
\(903\) −14.6428 1.31539i −0.487283 0.0437734i
\(904\) 1.86824 1.73347i 0.0621368 0.0576545i
\(905\) −11.1791 + 36.2416i −0.371604 + 1.20471i
\(906\) 45.8252 + 3.53640i 1.52244 + 0.117489i
\(907\) 13.6172 34.6961i 0.452153 1.15207i −0.505164 0.863023i \(-0.668568\pi\)
0.957316 0.289042i \(-0.0933368\pi\)
\(908\) 11.5306 10.6989i 0.382658 0.355054i
\(909\) −1.20168 + 5.15927i −0.0398573 + 0.171122i
\(910\) −9.89790 0.867006i −0.328112 0.0287410i
\(911\) 14.2429 15.3502i 0.471888 0.508575i −0.451590 0.892226i \(-0.649143\pi\)
0.923478 + 0.383651i \(0.125333\pi\)
\(912\) −34.3534 + 36.8597i −1.13755 + 1.22055i
\(913\) 46.0193i 1.52301i
\(914\) −25.5192 5.82458i −0.844099 0.192660i
\(915\) −25.6428 + 5.79296i −0.847725 + 0.191509i
\(916\) −1.41228 9.36987i −0.0466631 0.309589i
\(917\) −19.2928 + 1.20210i −0.637105 + 0.0396969i
\(918\) 14.6591 46.4241i 0.483823 1.53222i
\(919\) −55.7728 + 17.2036i −1.83977 + 0.567495i −0.840088 + 0.542450i \(0.817497\pi\)
−0.999686 + 0.0250451i \(0.992027\pi\)
\(920\) −17.6258 2.65667i −0.581106 0.0875877i
\(921\) 10.3025 + 11.1530i 0.339479 + 0.367503i
\(922\) 10.8237 + 71.8106i 0.356460 + 2.36496i
\(923\) 0.604529 + 8.06688i 0.0198983 + 0.265525i
\(924\) 1.79644 + 29.9004i 0.0590985 + 0.983651i
\(925\) −6.30777 + 84.1713i −0.207398 + 2.76754i
\(926\) 13.0719 0.979605i 0.429570 0.0321918i
\(927\) 7.98438 + 26.2985i 0.262241 + 0.863758i
\(928\) 2.96004 2.01812i 0.0971680 0.0662480i
\(929\) −27.4724 + 34.4492i −0.901339 + 1.13024i 0.0896067 + 0.995977i \(0.471439\pi\)
−0.990945 + 0.134266i \(0.957132\pi\)
\(930\) −14.4558 + 62.6932i −0.474023 + 2.05579i
\(931\) 30.3165 31.0689i 0.993584 1.01824i
\(932\) −10.5688 + 6.10192i −0.346194 + 0.199875i
\(933\) 4.10464 10.3906i 0.134380 0.340172i
\(934\) 19.8967 1.49105i 0.651039 0.0487886i
\(935\) 23.4263 75.9462i 0.766122 2.48371i
\(936\) 0.814842 + 1.03113i 0.0266339 + 0.0337037i
\(937\) 7.04824 + 14.6358i 0.230256 + 0.478131i 0.983801 0.179265i \(-0.0573720\pi\)
−0.753545 + 0.657396i \(0.771658\pi\)
\(938\) −26.8690 + 45.2160i −0.877303 + 1.47635i
\(939\) 2.56225 16.7472i 0.0836158 0.546523i
\(940\) 25.9992 3.91875i 0.848000 0.127815i
\(941\) −32.0584 + 15.4385i −1.04507 + 0.503281i −0.875994 0.482321i \(-0.839794\pi\)
−0.169079 + 0.985602i \(0.554079\pi\)
\(942\) 0.891952 2.25791i 0.0290614 0.0735667i
\(943\) 49.0002 + 11.1840i 1.59567 + 0.364200i
\(944\) 18.7081 23.4592i 0.608897 0.763533i
\(945\) 14.4639 + 50.3055i 0.470511 + 1.63644i
\(946\) −15.8469 19.8714i −0.515227 0.646074i
\(947\) 16.2050 + 33.6501i 0.526592 + 1.09348i 0.979411 + 0.201877i \(0.0647042\pi\)
−0.452819 + 0.891603i \(0.649582\pi\)
\(948\) 1.10038 + 15.1341i 0.0357386 + 0.491533i
\(949\) 0.407973 0.0132434
\(950\) 55.5254 96.1728i 1.80148 3.12026i
\(951\) 10.6118 0.771571i 0.344113 0.0250199i
\(952\) −5.38458 9.60319i −0.174515 0.311241i
\(953\) −12.4695 + 2.84608i −0.403926 + 0.0921934i −0.419657 0.907683i \(-0.637850\pi\)
0.0157311 + 0.999876i \(0.494992\pi\)
\(954\) −59.6124 + 18.0986i −1.93002 + 0.585965i
\(955\) −1.94405 12.8979i −0.0629081 0.417368i
\(956\) −25.3125 9.93443i −0.818665 0.321302i
\(957\) 1.81077 + 3.15248i 0.0585339 + 0.101905i
\(958\) −2.55260 2.75105i −0.0824707 0.0888823i
\(959\) 24.5782 + 12.2192i 0.793671 + 0.394580i
\(960\) 24.5711 + 11.9001i 0.793030 + 0.384074i
\(961\) 4.23240 0.136529
\(962\) 4.38336 7.59220i 0.141325 0.244783i
\(963\) −3.29617 2.65262i −0.106217 0.0854796i
\(964\) 12.7274 18.6676i 0.409921 0.601244i
\(965\) 33.6453 5.07121i 1.08308 0.163248i
\(966\) 26.6169 + 40.3081i 0.856385 + 1.29689i
\(967\) −17.6641 2.66244i −0.568040 0.0856183i −0.141258 0.989973i \(-0.545115\pi\)
−0.426782 + 0.904354i \(0.640353\pi\)
\(968\) 3.78872 4.08327i 0.121774 0.131241i
\(969\) −49.6347 19.6074i −1.59450 0.629880i
\(970\) −78.8615 53.7669i −2.53209 1.72635i
\(971\) −11.3921 + 29.0266i −0.365590 + 0.931508i 0.623182 + 0.782077i \(0.285840\pi\)
−0.988772 + 0.149431i \(0.952256\pi\)
\(972\) −12.3590 + 20.8681i −0.396414 + 0.669346i
\(973\) −1.32003 6.13812i −0.0423181 0.196779i
\(974\) 64.6352 + 4.84374i 2.07105 + 0.155204i
\(975\) −6.71458 5.37912i −0.215039 0.172270i
\(976\) −18.2315 + 4.16122i −0.583576 + 0.133197i
\(977\) 24.1046 50.0536i 0.771173 1.60136i −0.0275210 0.999621i \(-0.508761\pi\)
0.798694 0.601737i \(-0.205524\pi\)
\(978\) 0.664635 + 4.47696i 0.0212527 + 0.143157i
\(979\) 17.7880 + 10.2699i 0.568508 + 0.328228i
\(980\) −36.8959 18.9253i −1.17860 0.604546i
\(981\) 2.06681 + 29.3256i 0.0659882 + 0.936296i
\(982\) −6.28459 0.947249i −0.200549 0.0302279i
\(983\) −1.72516 23.0207i −0.0550242 0.734247i −0.954678 0.297642i \(-0.903800\pi\)
0.899653 0.436605i \(-0.143819\pi\)
\(984\) 11.2814 + 6.54677i 0.359639 + 0.208703i
\(985\) 3.37576 + 4.95134i 0.107561 + 0.157763i
\(986\) 3.86750 + 2.63682i 0.123166 + 0.0839733i
\(987\) 15.7130 + 12.9155i 0.500151 + 0.411105i
\(988\) −4.16974 + 2.84288i −0.132657 + 0.0904440i
\(989\) −16.6935 6.55170i −0.530821 0.208332i
\(990\) −45.5930 + 78.1662i −1.44904 + 2.48429i
\(991\) 15.3958 + 39.2279i 0.489065 + 1.24612i 0.936142 + 0.351621i \(0.114369\pi\)
−0.447078 + 0.894495i \(0.647535\pi\)
\(992\) −8.25549 + 36.1697i −0.262112 + 1.14839i
\(993\) 0.796891 2.01727i 0.0252886 0.0640162i
\(994\) −23.6685 + 73.4402i −0.750718 + 2.32938i
\(995\) 22.9024 + 8.98853i 0.726055 + 0.284956i
\(996\) −6.50448 28.7924i −0.206102 0.912321i
\(997\) 7.44998 + 24.1522i 0.235943 + 0.764909i 0.993670 + 0.112337i \(0.0358337\pi\)
−0.757727 + 0.652572i \(0.773690\pi\)
\(998\) −41.7068 24.0794i −1.32020 0.762220i
\(999\) −45.6219 7.18734i −1.44341 0.227397i
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 441.2.bn.a.353.13 yes 648
9.5 odd 6 441.2.bd.a.59.13 648
49.5 odd 42 441.2.bd.a.299.13 yes 648
441.5 even 42 inner 441.2.bn.a.5.13 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.bd.a.59.13 648 9.5 odd 6
441.2.bd.a.299.13 yes 648 49.5 odd 42
441.2.bn.a.5.13 yes 648 441.5 even 42 inner
441.2.bn.a.353.13 yes 648 1.1 even 1 trivial