Properties

Label 441.2.ba.a.337.53
Level $441$
Weight $2$
Character 441.337
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [441,2,Mod(22,441)]
 
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([14, 24]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.22");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.ba (of order \(21\), 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 \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 337.53
Character \(\chi\) \(=\) 441.337
Dual form 441.2.ba.a.106.53

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(2.66904 + 0.402293i) q^{2} +(-1.66495 + 0.477417i) q^{3} +(5.05080 + 1.55797i) q^{4} +(1.57905 - 1.07658i) q^{5} +(-4.63590 + 0.604446i) q^{6} +(-0.157382 + 2.64107i) q^{7} +(7.99028 + 3.84791i) q^{8} +(2.54415 - 1.58975i) q^{9} +O(q^{10})\) \(q+(2.66904 + 0.402293i) q^{2} +(-1.66495 + 0.477417i) q^{3} +(5.05080 + 1.55797i) q^{4} +(1.57905 - 1.07658i) q^{5} +(-4.63590 + 0.604446i) q^{6} +(-0.157382 + 2.64107i) q^{7} +(7.99028 + 3.84791i) q^{8} +(2.54415 - 1.58975i) q^{9} +(4.64765 - 2.23819i) q^{10} +(-3.91838 - 0.590601i) q^{11} +(-9.15316 - 0.182604i) q^{12} +(-1.69856 - 4.32787i) q^{13} +(-1.48254 + 6.98580i) q^{14} +(-2.11507 + 2.54632i) q^{15} +(11.0440 + 7.52968i) q^{16} +(-0.299635 + 1.31279i) q^{17} +(7.42998 - 3.21963i) q^{18} -2.09983 q^{19} +(9.65275 - 2.97748i) q^{20} +(-0.998856 - 4.47239i) q^{21} +(-10.2207 - 3.15268i) q^{22} +(6.65484 + 2.05275i) q^{23} +(-15.1405 - 2.59191i) q^{24} +(-0.492326 + 1.25442i) q^{25} +(-2.79246 - 12.2346i) q^{26} +(-3.47691 + 3.86149i) q^{27} +(-4.90960 + 13.0943i) q^{28} +(-1.95313 + 0.602459i) q^{29} +(-6.66958 + 5.94536i) q^{30} +(2.15723 - 3.73643i) q^{31} +(13.4456 + 12.4757i) q^{32} +(6.80589 - 0.887378i) q^{33} +(-1.32787 + 3.38335i) q^{34} +(2.59480 + 4.33981i) q^{35} +(15.3268 - 4.06584i) q^{36} +(1.70026 - 7.44935i) q^{37} +(-5.60452 - 0.844746i) q^{38} +(4.89422 + 6.39478i) q^{39} +(16.7596 - 2.52611i) q^{40} +(-1.39472 + 0.950901i) q^{41} +(-0.866775 - 12.3388i) q^{42} +(-9.84687 - 6.71348i) q^{43} +(-18.8708 - 9.08772i) q^{44} +(2.30584 - 5.24928i) q^{45} +(16.9362 + 8.15607i) q^{46} +(-7.00144 - 1.05530i) q^{47} +(-21.9826 - 7.26398i) q^{48} +(-6.95046 - 0.831313i) q^{49} +(-1.81868 + 3.15005i) q^{50} +(-0.127868 - 2.32878i) q^{51} +(-1.83643 - 24.5055i) q^{52} +(-2.49732 - 10.9415i) q^{53} +(-10.8335 + 8.90774i) q^{54} +(-6.82315 + 3.28586i) q^{55} +(-11.4201 + 20.4973i) q^{56} +(3.49611 - 1.00249i) q^{57} +(-5.45534 + 0.822260i) q^{58} +(-0.292766 + 3.90669i) q^{59} +(-14.6499 + 9.56575i) q^{60} +(5.09812 - 1.57256i) q^{61} +(7.26088 - 9.10485i) q^{62} +(3.79824 + 6.96946i) q^{63} +(14.2001 + 17.8064i) q^{64} +(-7.34140 - 5.00528i) q^{65} +(18.5222 + 0.369515i) q^{66} +(-1.10187 + 1.90850i) q^{67} +(-3.55868 + 6.16381i) q^{68} +(-12.0600 - 0.240596i) q^{69} +(5.17976 + 12.6270i) q^{70} +(0.264180 + 1.15745i) q^{71} +(26.4457 - 2.91292i) q^{72} +(1.88164 + 2.35950i) q^{73} +(7.53490 - 19.1986i) q^{74} +(0.220816 - 2.32360i) q^{75} +(-10.6058 - 3.27146i) q^{76} +(2.17650 - 10.2558i) q^{77} +(10.4903 + 19.0368i) q^{78} +(6.20923 + 10.7547i) q^{79} +25.5454 q^{80} +(3.94536 - 8.08914i) q^{81} +(-4.10510 + 1.97691i) q^{82} +(-4.24406 + 10.8137i) q^{83} +(1.92281 - 24.1454i) q^{84} +(0.940180 + 2.39554i) q^{85} +(-23.5809 - 21.8799i) q^{86} +(2.96424 - 1.93552i) q^{87} +(-29.0364 - 19.7967i) q^{88} +(7.00395 + 8.78267i) q^{89} +(8.26613 - 13.0829i) q^{90} +(11.6975 - 3.80489i) q^{91} +(30.4142 + 20.7360i) q^{92} +(-1.80785 + 7.25088i) q^{93} +(-18.2626 - 5.63326i) q^{94} +(-3.31573 + 2.26063i) q^{95} +(-28.3424 - 14.3523i) q^{96} +(4.83617 + 8.37650i) q^{97} +(-18.2166 - 5.01493i) q^{98} +(-10.9078 + 4.72669i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 10 q^{3} + 47 q^{4} - 9 q^{5} - 34 q^{6} - 7 q^{7} - 28 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 10 q^{3} + 47 q^{4} - 9 q^{5} - 34 q^{6} - 7 q^{7} - 28 q^{8} - 28 q^{10} - 5 q^{11} + 5 q^{12} - 7 q^{13} - 38 q^{14} - 22 q^{15} + 47 q^{16} - 16 q^{17} - 46 q^{18} - 44 q^{19} - 29 q^{20} - 12 q^{21} - 13 q^{22} - 20 q^{23} - 2 q^{24} + 41 q^{25} - 20 q^{26} - 13 q^{27} - 28 q^{28} - 35 q^{29} - 6 q^{30} - 20 q^{31} - 25 q^{32} - 22 q^{33} - q^{34} - 44 q^{35} - 28 q^{36} - 30 q^{37} - 7 q^{38} - 8 q^{39} + 5 q^{40} - 29 q^{41} - 104 q^{42} - 13 q^{43} - 88 q^{44} + 63 q^{45} + 32 q^{46} - 55 q^{47} - 14 q^{48} - q^{49} + 6 q^{50} - 18 q^{51} + 3 q^{52} - 136 q^{53} + 30 q^{54} - 100 q^{55} + 145 q^{56} - 96 q^{57} + 17 q^{58} - 19 q^{59} + 118 q^{60} + 42 q^{61} + 96 q^{62} - 6 q^{63} - 124 q^{64} - 11 q^{65} + 120 q^{66} - 26 q^{67} + 166 q^{68} - 134 q^{69} - 7 q^{70} - 22 q^{71} + 32 q^{72} + 8 q^{73} - 45 q^{74} - 36 q^{75} - 41 q^{76} + q^{77} - 18 q^{78} - 26 q^{79} - 440 q^{80} + 64 q^{81} - 28 q^{82} + 61 q^{83} - 86 q^{84} + 5 q^{85} + 15 q^{86} + 34 q^{87} - q^{88} + 22 q^{89} + 96 q^{90} - 16 q^{91} - 43 q^{92} - 110 q^{93} - q^{94} - 38 q^{95} - 165 q^{96} - 14 q^{97} - 144 q^{98} - 196 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.66904 + 0.402293i 1.88730 + 0.284464i 0.988187 0.153255i \(-0.0489756\pi\)
0.899112 + 0.437720i \(0.144214\pi\)
\(3\) −1.66495 + 0.477417i −0.961262 + 0.275637i
\(4\) 5.05080 + 1.55797i 2.52540 + 0.778983i
\(5\) 1.57905 1.07658i 0.706173 0.481461i −0.156206 0.987725i \(-0.549926\pi\)
0.862379 + 0.506264i \(0.168974\pi\)
\(6\) −4.63590 + 0.604446i −1.89260 + 0.246764i
\(7\) −0.157382 + 2.64107i −0.0594848 + 0.998229i
\(8\) 7.99028 + 3.84791i 2.82499 + 1.36044i
\(9\) 2.54415 1.58975i 0.848049 0.529918i
\(10\) 4.64765 2.23819i 1.46972 0.707779i
\(11\) −3.91838 0.590601i −1.18144 0.178073i −0.471194 0.882030i \(-0.656177\pi\)
−0.710243 + 0.703957i \(0.751415\pi\)
\(12\) −9.15316 0.182604i −2.64229 0.0527133i
\(13\) −1.69856 4.32787i −0.471096 1.20033i −0.947114 0.320898i \(-0.896015\pi\)
0.476017 0.879436i \(-0.342080\pi\)
\(14\) −1.48254 + 6.98580i −0.396226 + 1.86703i
\(15\) −2.11507 + 2.54632i −0.546109 + 0.657457i
\(16\) 11.0440 + 7.52968i 2.76100 + 1.88242i
\(17\) −0.299635 + 1.31279i −0.0726723 + 0.318398i −0.998178 0.0603352i \(-0.980783\pi\)
0.925506 + 0.378733i \(0.123640\pi\)
\(18\) 7.42998 3.21963i 1.75126 0.758874i
\(19\) −2.09983 −0.481733 −0.240866 0.970558i \(-0.577432\pi\)
−0.240866 + 0.970558i \(0.577432\pi\)
\(20\) 9.65275 2.97748i 2.15842 0.665784i
\(21\) −0.998856 4.47239i −0.217968 0.975956i
\(22\) −10.2207 3.15268i −2.17907 0.672153i
\(23\) 6.65484 + 2.05275i 1.38763 + 0.428027i 0.896494 0.443056i \(-0.146106\pi\)
0.491136 + 0.871083i \(0.336582\pi\)
\(24\) −15.1405 2.59191i −3.09054 0.529071i
\(25\) −0.492326 + 1.25442i −0.0984651 + 0.250885i
\(26\) −2.79246 12.2346i −0.547647 2.39940i
\(27\) −3.47691 + 3.86149i −0.669132 + 0.743144i
\(28\) −4.90960 + 13.0943i −0.927827 + 2.47459i
\(29\) −1.95313 + 0.602459i −0.362686 + 0.111874i −0.470742 0.882271i \(-0.656014\pi\)
0.108056 + 0.994145i \(0.465538\pi\)
\(30\) −6.66958 + 5.94536i −1.21769 + 1.08547i
\(31\) 2.15723 3.73643i 0.387450 0.671082i −0.604656 0.796487i \(-0.706689\pi\)
0.992106 + 0.125404i \(0.0400228\pi\)
\(32\) 13.4456 + 12.4757i 2.37687 + 2.20541i
\(33\) 6.80589 0.887378i 1.18475 0.154473i
\(34\) −1.32787 + 3.38335i −0.227727 + 0.580239i
\(35\) 2.59480 + 4.33981i 0.438601 + 0.733562i
\(36\) 15.3268 4.06584i 2.55446 0.677641i
\(37\) 1.70026 7.44935i 0.279522 1.22466i −0.618878 0.785487i \(-0.712413\pi\)
0.898400 0.439178i \(-0.144730\pi\)
\(38\) −5.60452 0.844746i −0.909174 0.137036i
\(39\) 4.89422 + 6.39478i 0.783703 + 1.02398i
\(40\) 16.7596 2.52611i 2.64993 0.399413i
\(41\) −1.39472 + 0.950901i −0.217818 + 0.148506i −0.667314 0.744777i \(-0.732556\pi\)
0.449496 + 0.893282i \(0.351604\pi\)
\(42\) −0.866775 12.3388i −0.133746 1.90392i
\(43\) −9.84687 6.71348i −1.50163 1.02380i −0.985954 0.167015i \(-0.946587\pi\)
−0.515680 0.856782i \(-0.672461\pi\)
\(44\) −18.8708 9.08772i −2.84489 1.37003i
\(45\) 2.30584 5.24928i 0.343734 0.782516i
\(46\) 16.9362 + 8.15607i 2.49711 + 1.20255i
\(47\) −7.00144 1.05530i −1.02126 0.153931i −0.383000 0.923748i \(-0.625109\pi\)
−0.638264 + 0.769817i \(0.720347\pi\)
\(48\) −21.9826 7.26398i −3.17291 1.04846i
\(49\) −6.95046 0.831313i −0.992923 0.118759i
\(50\) −1.81868 + 3.15005i −0.257201 + 0.445485i
\(51\) −0.127868 2.32878i −0.0179051 0.326095i
\(52\) −1.83643 24.5055i −0.254667 3.39830i
\(53\) −2.49732 10.9415i −0.343033 1.50292i −0.792636 0.609696i \(-0.791292\pi\)
0.449603 0.893229i \(-0.351566\pi\)
\(54\) −10.8335 + 8.90774i −1.47425 + 1.21219i
\(55\) −6.82315 + 3.28586i −0.920034 + 0.443065i
\(56\) −11.4201 + 20.4973i −1.52608 + 2.73906i
\(57\) 3.49611 1.00249i 0.463071 0.132783i
\(58\) −5.45534 + 0.822260i −0.716321 + 0.107968i
\(59\) −0.292766 + 3.90669i −0.0381149 + 0.508608i 0.945175 + 0.326563i \(0.105891\pi\)
−0.983290 + 0.182045i \(0.941728\pi\)
\(60\) −14.6499 + 9.56575i −1.89129 + 1.23493i
\(61\) 5.09812 1.57256i 0.652747 0.201346i 0.0493435 0.998782i \(-0.484287\pi\)
0.603403 + 0.797436i \(0.293811\pi\)
\(62\) 7.26088 9.10485i 0.922132 1.15632i
\(63\) 3.79824 + 6.96946i 0.478534 + 0.878069i
\(64\) 14.2001 + 17.8064i 1.77502 + 2.22580i
\(65\) −7.34140 5.00528i −0.910589 0.620829i
\(66\) 18.5222 + 0.369515i 2.27993 + 0.0454842i
\(67\) −1.10187 + 1.90850i −0.134615 + 0.233160i −0.925450 0.378869i \(-0.876313\pi\)
0.790835 + 0.612029i \(0.209646\pi\)
\(68\) −3.55868 + 6.16381i −0.431553 + 0.747472i
\(69\) −12.0600 0.240596i −1.45186 0.0289643i
\(70\) 5.17976 + 12.6270i 0.619099 + 1.50922i
\(71\) 0.264180 + 1.15745i 0.0313524 + 0.137364i 0.988182 0.153286i \(-0.0489856\pi\)
−0.956829 + 0.290650i \(0.906128\pi\)
\(72\) 26.4457 2.91292i 3.11665 0.343291i
\(73\) 1.88164 + 2.35950i 0.220229 + 0.276159i 0.879656 0.475610i \(-0.157773\pi\)
−0.659427 + 0.751768i \(0.729201\pi\)
\(74\) 7.53490 19.1986i 0.875915 2.23179i
\(75\) 0.220816 2.32360i 0.0254976 0.268307i
\(76\) −10.6058 3.27146i −1.21657 0.375262i
\(77\) 2.17650 10.2558i 0.248035 1.16875i
\(78\) 10.4903 + 19.0368i 1.18779 + 2.15550i
\(79\) 6.20923 + 10.7547i 0.698593 + 1.21000i 0.968954 + 0.247240i \(0.0795236\pi\)
−0.270361 + 0.962759i \(0.587143\pi\)
\(80\) 25.5454 2.85606
\(81\) 3.94536 8.08914i 0.438373 0.898793i
\(82\) −4.10510 + 1.97691i −0.453332 + 0.218313i
\(83\) −4.24406 + 10.8137i −0.465846 + 1.18696i 0.484230 + 0.874940i \(0.339100\pi\)
−0.950077 + 0.312016i \(0.898996\pi\)
\(84\) 1.92281 24.1454i 0.209796 2.63447i
\(85\) 0.940180 + 2.39554i 0.101977 + 0.259833i
\(86\) −23.5809 21.8799i −2.54280 2.35937i
\(87\) 2.96424 1.93552i 0.317800 0.207510i
\(88\) −29.0364 19.7967i −3.09529 2.11033i
\(89\) 7.00395 + 8.78267i 0.742417 + 0.930962i 0.999371 0.0354621i \(-0.0112903\pi\)
−0.256954 + 0.966424i \(0.582719\pi\)
\(90\) 8.26613 13.0829i 0.871327 1.37906i
\(91\) 11.6975 3.80489i 1.22623 0.398861i
\(92\) 30.4142 + 20.7360i 3.17090 + 2.16188i
\(93\) −1.80785 + 7.25088i −0.187466 + 0.751881i
\(94\) −18.2626 5.63326i −1.88364 0.581027i
\(95\) −3.31573 + 2.26063i −0.340187 + 0.231935i
\(96\) −28.3424 14.3523i −2.89269 1.46483i
\(97\) 4.83617 + 8.37650i 0.491039 + 0.850504i 0.999947 0.0103166i \(-0.00328393\pi\)
−0.508908 + 0.860821i \(0.669951\pi\)
\(98\) −18.2166 5.01493i −1.84016 0.506585i
\(99\) −10.9078 + 4.72669i −1.09628 + 0.475050i
\(100\) −4.44099 + 5.56883i −0.444099 + 0.556883i
\(101\) −0.453596 6.05281i −0.0451344 0.602277i −0.973215 0.229897i \(-0.926161\pi\)
0.928080 0.372380i \(-0.121458\pi\)
\(102\) 0.595569 6.26706i 0.0589701 0.620532i
\(103\) 13.3330 9.09027i 1.31374 0.895691i 0.315161 0.949038i \(-0.397941\pi\)
0.998576 + 0.0533472i \(0.0169890\pi\)
\(104\) 3.08128 41.1168i 0.302144 4.03183i
\(105\) −6.39212 5.98679i −0.623807 0.584250i
\(106\) −2.26377 30.2079i −0.219876 2.93405i
\(107\) 2.91802 + 3.65909i 0.282096 + 0.353737i 0.902611 0.430457i \(-0.141648\pi\)
−0.620515 + 0.784195i \(0.713076\pi\)
\(108\) −23.5773 + 14.0867i −2.26872 + 1.35549i
\(109\) −0.0587631 + 0.0736865i −0.00562848 + 0.00705789i −0.784638 0.619955i \(-0.787151\pi\)
0.779009 + 0.627012i \(0.215722\pi\)
\(110\) −19.5332 + 6.02518i −1.86241 + 0.574479i
\(111\) 0.725581 + 13.2146i 0.0688691 + 1.25427i
\(112\) −21.6245 + 27.9829i −2.04333 + 2.64414i
\(113\) −8.64762 + 1.30342i −0.813500 + 0.122615i −0.542599 0.839992i \(-0.682560\pi\)
−0.270901 + 0.962607i \(0.587322\pi\)
\(114\) 9.73457 1.26923i 0.911726 0.118874i
\(115\) 12.7183 3.92307i 1.18599 0.365828i
\(116\) −10.8035 −1.00308
\(117\) −11.2016 8.31043i −1.03559 0.768299i
\(118\) −2.35304 + 10.3094i −0.216615 + 0.949053i
\(119\) −3.42000 0.997966i −0.313511 0.0914834i
\(120\) −26.6980 + 12.2072i −2.43718 + 1.11436i
\(121\) 4.49361 + 1.38610i 0.408510 + 0.126009i
\(122\) 14.2397 2.14629i 1.28920 0.194316i
\(123\) 1.86816 2.24907i 0.168447 0.202792i
\(124\) 16.7170 15.5111i 1.50123 1.39294i
\(125\) 2.69941 + 11.8269i 0.241443 + 1.05783i
\(126\) 7.33391 + 20.1298i 0.653357 + 1.79330i
\(127\) 2.54105 11.1331i 0.225482 0.987900i −0.727794 0.685796i \(-0.759454\pi\)
0.953275 0.302103i \(-0.0976888\pi\)
\(128\) 12.3954 + 21.4694i 1.09561 + 1.89765i
\(129\) 19.5997 + 6.47658i 1.72566 + 0.570231i
\(130\) −17.5809 16.3127i −1.54195 1.43072i
\(131\) −0.796914 + 10.6341i −0.0696267 + 0.929103i 0.847574 + 0.530677i \(0.178062\pi\)
−0.917201 + 0.398426i \(0.869557\pi\)
\(132\) 35.7577 + 6.12138i 3.11231 + 0.532798i
\(133\) 0.330475 5.54578i 0.0286558 0.480880i
\(134\) −3.70872 + 4.65059i −0.320385 + 0.401750i
\(135\) −1.33302 + 9.84065i −0.114728 + 0.846949i
\(136\) −7.44567 + 9.33657i −0.638461 + 0.800605i
\(137\) 5.42815 + 3.70085i 0.463758 + 0.316185i 0.772560 0.634941i \(-0.218976\pi\)
−0.308802 + 0.951126i \(0.599928\pi\)
\(138\) −32.0919 5.49383i −2.73185 0.467666i
\(139\) 10.7043 7.29804i 0.907924 0.619012i −0.0167137 0.999860i \(-0.505320\pi\)
0.924638 + 0.380848i \(0.124368\pi\)
\(140\) 6.34455 + 25.9621i 0.536212 + 2.19420i
\(141\) 12.1609 1.58558i 1.02413 0.133530i
\(142\) 0.239474 + 3.19556i 0.0200962 + 0.268165i
\(143\) 4.09957 + 17.9614i 0.342824 + 1.50201i
\(144\) 40.0679 + 1.59934i 3.33900 + 0.133278i
\(145\) −2.43549 + 3.05401i −0.202256 + 0.253621i
\(146\) 4.07296 + 7.05458i 0.337081 + 0.583841i
\(147\) 11.9691 1.93417i 0.987193 0.159528i
\(148\) 20.1935 34.9762i 1.65990 2.87503i
\(149\) 7.80316 + 19.8821i 0.639260 + 1.62881i 0.770487 + 0.637456i \(0.220013\pi\)
−0.131227 + 0.991352i \(0.541892\pi\)
\(150\) 1.52414 6.11297i 0.124445 0.499122i
\(151\) −1.08683 + 1.00843i −0.0884446 + 0.0820646i −0.723156 0.690684i \(-0.757309\pi\)
0.634712 + 0.772749i \(0.281119\pi\)
\(152\) −16.7782 8.07995i −1.36089 0.655370i
\(153\) 1.32470 + 3.81627i 0.107095 + 0.308527i
\(154\) 9.93499 26.4975i 0.800585 2.13523i
\(155\) −0.616186 8.22244i −0.0494933 0.660442i
\(156\) 14.7569 + 39.9238i 1.18150 + 3.19646i
\(157\) 0.329580 4.39794i 0.0263033 0.350994i −0.968488 0.249061i \(-0.919878\pi\)
0.994791 0.101933i \(-0.0325028\pi\)
\(158\) 12.2462 + 31.2027i 0.974252 + 2.48235i
\(159\) 9.38155 + 17.0248i 0.744005 + 1.35015i
\(160\) 34.6624 + 5.22451i 2.74030 + 0.413034i
\(161\) −6.46879 + 17.2528i −0.509812 + 1.35971i
\(162\) 13.7845 20.0031i 1.08302 1.57159i
\(163\) −12.6690 + 6.10107i −0.992312 + 0.477872i −0.858323 0.513110i \(-0.828493\pi\)
−0.133990 + 0.990983i \(0.542779\pi\)
\(164\) −8.52591 + 2.62989i −0.665762 + 0.205360i
\(165\) 9.79151 8.72829i 0.762268 0.679497i
\(166\) −15.6779 + 27.1548i −1.21684 + 2.10762i
\(167\) 2.41883 + 2.24435i 0.187175 + 0.173673i 0.768194 0.640217i \(-0.221156\pi\)
−0.581019 + 0.813890i \(0.697346\pi\)
\(168\) 9.22825 39.5792i 0.711975 3.05360i
\(169\) −6.31563 + 5.86005i −0.485818 + 0.450773i
\(170\) 1.54567 + 6.77203i 0.118548 + 0.519391i
\(171\) −5.34226 + 3.33821i −0.408533 + 0.255279i
\(172\) −39.2752 49.2496i −2.99471 3.75525i
\(173\) −12.7089 + 11.7921i −0.966240 + 0.896540i −0.994676 0.103056i \(-0.967138\pi\)
0.0284352 + 0.999596i \(0.490948\pi\)
\(174\) 8.69033 3.97350i 0.658812 0.301230i
\(175\) −3.23554 1.49769i −0.244584 0.113215i
\(176\) −38.8276 36.0268i −2.92674 2.71562i
\(177\) −1.37768 6.64424i −0.103553 0.499411i
\(178\) 15.1606 + 26.2590i 1.13634 + 1.96819i
\(179\) 0.172077 0.753917i 0.0128616 0.0563504i −0.968090 0.250603i \(-0.919371\pi\)
0.980952 + 0.194253i \(0.0622282\pi\)
\(180\) 19.8245 22.9206i 1.47763 1.70840i
\(181\) 11.5348 + 14.4642i 0.857375 + 1.07511i 0.996396 + 0.0848246i \(0.0270330\pi\)
−0.139021 + 0.990289i \(0.544396\pi\)
\(182\) 32.7518 5.44958i 2.42773 0.403949i
\(183\) −7.73736 + 5.05217i −0.571962 + 0.373467i
\(184\) 45.2752 + 42.0093i 3.33773 + 3.09696i
\(185\) −5.33500 13.5934i −0.392237 0.999404i
\(186\) −7.74222 + 18.6256i −0.567687 + 1.36570i
\(187\) 1.94942 4.96704i 0.142556 0.363226i
\(188\) −33.7188 16.2381i −2.45919 1.18429i
\(189\) −9.65124 9.79048i −0.702025 0.712153i
\(190\) −9.75926 + 4.69981i −0.708011 + 0.340960i
\(191\) −0.499894 6.67062i −0.0361711 0.482669i −0.985646 0.168826i \(-0.946002\pi\)
0.949475 0.313843i \(-0.101617\pi\)
\(192\) −32.1436 22.8674i −2.31977 1.65032i
\(193\) −3.25801 + 2.22127i −0.234516 + 0.159891i −0.674877 0.737931i \(-0.735803\pi\)
0.440360 + 0.897821i \(0.354851\pi\)
\(194\) 9.53814 + 24.3028i 0.684799 + 1.74484i
\(195\) 14.6127 + 4.82866i 1.04644 + 0.345787i
\(196\) −33.8103 15.0274i −2.41502 1.07338i
\(197\) −17.5019 −1.24696 −0.623478 0.781841i \(-0.714281\pi\)
−0.623478 + 0.781841i \(0.714281\pi\)
\(198\) −31.0150 + 8.22759i −2.20414 + 0.584709i
\(199\) −4.94588 2.38181i −0.350604 0.168842i 0.250289 0.968171i \(-0.419474\pi\)
−0.600894 + 0.799329i \(0.705188\pi\)
\(200\) −8.76074 + 8.12878i −0.619478 + 0.574791i
\(201\) 0.923418 3.70362i 0.0651329 0.261233i
\(202\) 1.22434 16.3377i 0.0861443 1.14952i
\(203\) −1.28375 5.25315i −0.0901015 0.368699i
\(204\) 2.98233 11.9614i 0.208805 0.837469i
\(205\) −1.17861 + 3.00304i −0.0823175 + 0.209742i
\(206\) 39.2432 18.8986i 2.73421 1.31672i
\(207\) 20.1943 5.35708i 1.40360 0.372343i
\(208\) 13.8285 60.5867i 0.958835 4.20093i
\(209\) 8.22792 + 1.24016i 0.569137 + 0.0857836i
\(210\) −14.6524 18.5505i −1.01111 1.28011i
\(211\) 3.84423 0.579425i 0.264648 0.0398892i −0.0153779 0.999882i \(-0.504895\pi\)
0.280026 + 0.959993i \(0.409657\pi\)
\(212\) 4.43297 59.1539i 0.304458 4.06270i
\(213\) −0.992433 1.80097i −0.0680004 0.123401i
\(214\) 6.31631 + 10.9402i 0.431774 + 0.747854i
\(215\) −22.7763 −1.55333
\(216\) −42.6402 + 17.4755i −2.90130 + 1.18906i
\(217\) 9.52865 + 6.28543i 0.646847 + 0.426683i
\(218\) −0.186485 + 0.173033i −0.0126303 + 0.0117192i
\(219\) −4.25931 3.03013i −0.287817 0.204758i
\(220\) −39.5817 + 5.96597i −2.66859 + 0.402226i
\(221\) 6.19052 0.933071i 0.416420 0.0627652i
\(222\) −3.37952 + 35.5621i −0.226819 + 2.38677i
\(223\) 8.04557 7.46520i 0.538771 0.499907i −0.363195 0.931713i \(-0.618314\pi\)
0.901966 + 0.431806i \(0.142124\pi\)
\(224\) −35.0653 + 33.5473i −2.34290 + 2.24147i
\(225\) 0.741680 + 3.97412i 0.0494453 + 0.264941i
\(226\) −23.6052 −1.57020
\(227\) 12.8816 + 22.3116i 0.854984 + 1.48088i 0.876660 + 0.481111i \(0.159766\pi\)
−0.0216761 + 0.999765i \(0.506900\pi\)
\(228\) 19.2200 + 0.383437i 1.27288 + 0.0253937i
\(229\) 0.767893 10.2468i 0.0507438 0.677129i −0.912599 0.408856i \(-0.865928\pi\)
0.963343 0.268273i \(-0.0864531\pi\)
\(230\) 35.5238 5.35436i 2.34237 0.353056i
\(231\) 1.27250 + 18.1145i 0.0837243 + 1.19184i
\(232\) −17.9242 2.70164i −1.17678 0.177372i
\(233\) −2.39729 + 10.5032i −0.157052 + 0.688089i 0.833679 + 0.552249i \(0.186230\pi\)
−0.990731 + 0.135840i \(0.956627\pi\)
\(234\) −26.5544 26.6872i −1.73592 1.74460i
\(235\) −12.1917 + 5.87123i −0.795301 + 0.382997i
\(236\) −7.56520 + 19.2758i −0.492453 + 1.25475i
\(237\) −15.4726 14.9417i −1.00505 0.970568i
\(238\) −8.72666 4.03946i −0.565665 0.261839i
\(239\) 0.00205708 0.0274498i 0.000133062 0.00177558i −0.997137 0.0756179i \(-0.975907\pi\)
0.997270 + 0.0738423i \(0.0235261\pi\)
\(240\) −42.5319 + 12.1958i −2.74542 + 0.787235i
\(241\) 11.6621 10.8209i 0.751224 0.697034i −0.208486 0.978025i \(-0.566854\pi\)
0.959710 + 0.280991i \(0.0906632\pi\)
\(242\) 11.4360 + 5.50730i 0.735135 + 0.354022i
\(243\) −2.70695 + 15.3516i −0.173651 + 0.984807i
\(244\) 28.1996 1.80529
\(245\) −11.8701 + 6.17003i −0.758353 + 0.394189i
\(246\) 5.89099 5.25131i 0.375596 0.334811i
\(247\) 3.56668 + 9.08776i 0.226943 + 0.578240i
\(248\) 31.6143 21.5543i 2.00751 1.36870i
\(249\) 1.90353 20.0305i 0.120631 1.26938i
\(250\) 2.44696 + 32.6525i 0.154760 + 2.06512i
\(251\) 2.41001 1.16060i 0.152118 0.0732563i −0.356276 0.934381i \(-0.615954\pi\)
0.508394 + 0.861125i \(0.330239\pi\)
\(252\) 8.32601 + 41.1189i 0.524489 + 2.59025i
\(253\) −24.8639 11.9738i −1.56318 0.752787i
\(254\) 11.2609 28.6924i 0.706573 1.80032i
\(255\) −2.70903 3.53961i −0.169646 0.221659i
\(256\) 7.80532 + 19.8876i 0.487832 + 1.24298i
\(257\) −21.8797 20.3014i −1.36482 1.26636i −0.930834 0.365442i \(-0.880918\pi\)
−0.433981 0.900922i \(-0.642892\pi\)
\(258\) 49.7070 + 25.1711i 3.09462 + 1.56708i
\(259\) 19.4066 + 5.66290i 1.20587 + 0.351876i
\(260\) −29.2819 36.7184i −1.81599 2.27718i
\(261\) −4.01127 + 4.63774i −0.248292 + 0.287069i
\(262\) −6.40501 + 28.0622i −0.395703 + 1.73369i
\(263\) −4.35715 7.54681i −0.268673 0.465356i 0.699846 0.714294i \(-0.253252\pi\)
−0.968520 + 0.248938i \(0.919919\pi\)
\(264\) 57.7955 + 19.0981i 3.55707 + 1.17541i
\(265\) −15.7227 14.5886i −0.965839 0.896168i
\(266\) 3.11308 14.6690i 0.190875 0.899412i
\(267\) −15.8543 11.2789i −0.970264 0.690260i
\(268\) −8.53872 + 7.92277i −0.521585 + 0.483960i
\(269\) −3.58825 4.49953i −0.218780 0.274341i 0.660314 0.750989i \(-0.270423\pi\)
−0.879094 + 0.476648i \(0.841852\pi\)
\(270\) −7.51673 + 25.7289i −0.457454 + 1.56581i
\(271\) −6.16784 27.0231i −0.374670 1.64153i −0.713477 0.700679i \(-0.752881\pi\)
0.338807 0.940856i \(-0.389977\pi\)
\(272\) −13.1941 + 12.2423i −0.800007 + 0.742298i
\(273\) −17.6593 + 11.9195i −1.06879 + 0.721404i
\(274\) 12.9991 + 12.0614i 0.785306 + 0.728658i
\(275\) 2.66998 4.62455i 0.161006 0.278871i
\(276\) −60.5380 20.0043i −3.64396 1.20412i
\(277\) 8.71821 2.68921i 0.523826 0.161579i −0.0215541 0.999768i \(-0.506861\pi\)
0.545380 + 0.838189i \(0.316385\pi\)
\(278\) 31.5061 15.1725i 1.88961 0.909988i
\(279\) −0.451702 12.9355i −0.0270427 0.774427i
\(280\) 4.03395 + 44.6609i 0.241075 + 2.66900i
\(281\) 31.3388 + 4.72357i 1.86952 + 0.281784i 0.983369 0.181617i \(-0.0581330\pi\)
0.886149 + 0.463401i \(0.153371\pi\)
\(282\) 33.0958 + 0.660256i 1.97083 + 0.0393177i
\(283\) 1.05151 + 2.67920i 0.0625058 + 0.159262i 0.958714 0.284371i \(-0.0917846\pi\)
−0.896209 + 0.443633i \(0.853689\pi\)
\(284\) −0.468944 + 6.25762i −0.0278267 + 0.371322i
\(285\) 4.44128 5.34683i 0.263079 0.316719i
\(286\) 3.71618 + 49.5890i 0.219742 + 2.93226i
\(287\) −2.29189 3.83319i −0.135286 0.226266i
\(288\) 54.0409 + 10.3648i 3.18439 + 0.610751i
\(289\) 13.6828 + 6.58931i 0.804873 + 0.387606i
\(290\) −7.72903 + 7.17149i −0.453864 + 0.421125i
\(291\) −12.0511 11.6376i −0.706447 0.682209i
\(292\) 5.82777 + 14.8489i 0.341044 + 0.868966i
\(293\) −3.32274 + 5.75516i −0.194117 + 0.336220i −0.946611 0.322379i \(-0.895517\pi\)
0.752494 + 0.658599i \(0.228851\pi\)
\(294\) 32.7241 0.347299i 1.90851 0.0202549i
\(295\) 3.74357 + 6.48405i 0.217959 + 0.377516i
\(296\) 42.2500 52.9799i 2.45573 3.07939i
\(297\) 15.9045 13.0773i 0.922871 0.758823i
\(298\) 12.8285 + 56.2054i 0.743137 + 3.25589i
\(299\) −2.41965 32.2880i −0.139932 1.86726i
\(300\) 4.73540 11.3920i 0.273398 0.657720i
\(301\) 19.2805 24.9497i 1.11131 1.43807i
\(302\) −3.30647 + 2.25431i −0.190266 + 0.129721i
\(303\) 3.64493 + 9.86110i 0.209396 + 0.566506i
\(304\) −23.1905 15.8110i −1.33007 0.906824i
\(305\) 6.35720 7.97168i 0.364012 0.456457i
\(306\) 2.00041 + 10.7187i 0.114356 + 0.612748i
\(307\) −17.7877 + 22.3051i −1.01520 + 1.27302i −0.0535970 + 0.998563i \(0.517069\pi\)
−0.961600 + 0.274454i \(0.911503\pi\)
\(308\) 26.9712 48.4089i 1.53683 2.75835i
\(309\) −17.8590 + 21.5003i −1.01596 + 1.22311i
\(310\) 1.66320 22.1939i 0.0944637 1.26053i
\(311\) −11.1294 10.3266i −0.631092 0.585568i 0.298386 0.954445i \(-0.403552\pi\)
−0.929478 + 0.368877i \(0.879742\pi\)
\(312\) 14.4997 + 69.9286i 0.820881 + 3.95893i
\(313\) −5.47808 9.48831i −0.309639 0.536311i 0.668644 0.743583i \(-0.266875\pi\)
−0.978283 + 0.207272i \(0.933542\pi\)
\(314\) 2.64893 11.6057i 0.149487 0.654948i
\(315\) 13.5008 + 6.91602i 0.760683 + 0.389673i
\(316\) 14.6061 + 63.9937i 0.821660 + 3.59993i
\(317\) 13.1298 12.1827i 0.737444 0.684248i −0.219144 0.975693i \(-0.570326\pi\)
0.956588 + 0.291445i \(0.0941359\pi\)
\(318\) 18.1908 + 49.2140i 1.02009 + 2.75978i
\(319\) 8.00891 1.20715i 0.448413 0.0675873i
\(320\) 41.5927 + 12.8296i 2.32510 + 0.717199i
\(321\) −6.60529 4.69910i −0.368671 0.262278i
\(322\) −24.2062 + 43.4461i −1.34896 + 2.42116i
\(323\) 0.629182 2.75663i 0.0350086 0.153383i
\(324\) 32.5298 34.7099i 1.80721 1.92833i
\(325\) 6.26523 0.347532
\(326\) −36.2685 + 11.1874i −2.00873 + 0.619610i
\(327\) 0.0626586 0.150739i 0.00346503 0.00833590i
\(328\) −14.8032 + 2.23122i −0.817367 + 0.123198i
\(329\) 3.88901 18.3252i 0.214408 1.01030i
\(330\) 29.6453 19.3571i 1.63192 1.06557i
\(331\) −6.20470 + 1.91390i −0.341041 + 0.105197i −0.460545 0.887637i \(-0.652346\pi\)
0.119504 + 0.992834i \(0.461870\pi\)
\(332\) −38.2833 + 48.0057i −2.10107 + 2.63466i
\(333\) −7.51691 21.6552i −0.411924 1.18670i
\(334\) 5.55308 + 6.96334i 0.303851 + 0.381017i
\(335\) 0.314737 + 4.19987i 0.0171959 + 0.229463i
\(336\) 22.6443 56.9142i 1.23535 3.10493i
\(337\) −0.579902 + 7.73825i −0.0315892 + 0.421529i 0.958882 + 0.283807i \(0.0915973\pi\)
−0.990471 + 0.137723i \(0.956022\pi\)
\(338\) −19.2142 + 13.1000i −1.04511 + 0.712546i
\(339\) 13.7756 6.29866i 0.748189 0.342096i
\(340\) 1.01649 + 13.5642i 0.0551271 + 0.735621i
\(341\) −10.6596 + 13.3667i −0.577249 + 0.723847i
\(342\) −15.6017 + 6.76066i −0.843641 + 0.365575i
\(343\) 3.28943 18.2258i 0.177613 0.984101i
\(344\) −52.8463 91.5325i −2.84928 4.93510i
\(345\) −19.3024 + 12.6036i −1.03921 + 0.678558i
\(346\) −38.6645 + 26.3610i −2.07862 + 1.41718i
\(347\) 3.97002 + 1.22459i 0.213122 + 0.0657395i 0.399478 0.916743i \(-0.369191\pi\)
−0.186356 + 0.982482i \(0.559668\pi\)
\(348\) 17.9873 5.15776i 0.964219 0.276485i
\(349\) −6.63151 4.52129i −0.354977 0.242019i 0.372681 0.927960i \(-0.378439\pi\)
−0.727658 + 0.685941i \(0.759391\pi\)
\(350\) −8.03327 5.29903i −0.429397 0.283245i
\(351\) 22.6177 + 8.48863i 1.20725 + 0.453089i
\(352\) −45.3169 56.8256i −2.41540 3.02881i
\(353\) 5.05095 + 3.44368i 0.268835 + 0.183289i 0.690233 0.723587i \(-0.257508\pi\)
−0.421398 + 0.906876i \(0.638460\pi\)
\(354\) −1.00415 18.2880i −0.0533700 0.971995i
\(355\) 1.66324 + 1.54326i 0.0882754 + 0.0819076i
\(356\) 21.6925 + 55.2715i 1.14970 + 2.92938i
\(357\) 6.17060 + 0.0288004i 0.326583 + 0.00152428i
\(358\) 0.762576 1.94301i 0.0403034 0.102691i
\(359\) 7.13699 3.43699i 0.376676 0.181398i −0.235960 0.971763i \(-0.575823\pi\)
0.612636 + 0.790365i \(0.290109\pi\)
\(360\) 38.6231 33.0705i 2.03561 1.74297i
\(361\) −14.5907 −0.767933
\(362\) 24.9680 + 43.2459i 1.31229 + 2.27295i
\(363\) −8.14340 0.162460i −0.427418 0.00852692i
\(364\) 65.0097 0.993417i 3.40743 0.0520692i
\(365\) 5.51139 + 1.70004i 0.288479 + 0.0889841i
\(366\) −22.6838 + 10.3718i −1.18570 + 0.542141i
\(367\) −9.61945 + 24.5099i −0.502131 + 1.27941i 0.425177 + 0.905110i \(0.360212\pi\)
−0.927308 + 0.374299i \(0.877883\pi\)
\(368\) 58.0396 + 72.7794i 3.02553 + 3.79389i
\(369\) −2.03666 + 4.63649i −0.106024 + 0.241366i
\(370\) −8.77083 38.4275i −0.455974 1.99775i
\(371\) 29.2901 4.87359i 1.52067 0.253024i
\(372\) −20.4277 + 33.8062i −1.05913 + 1.75277i
\(373\) 7.82442 13.5523i 0.405133 0.701711i −0.589204 0.807984i \(-0.700558\pi\)
0.994337 + 0.106273i \(0.0338918\pi\)
\(374\) 7.20130 12.4730i 0.372370 0.644964i
\(375\) −10.1408 18.4025i −0.523667 0.950301i
\(376\) −51.8827 35.3730i −2.67565 1.82423i
\(377\) 5.92487 + 7.42955i 0.305146 + 0.382641i
\(378\) −21.8209 30.0138i −1.12235 1.54375i
\(379\) 5.53169 6.93652i 0.284144 0.356305i −0.619192 0.785240i \(-0.712540\pi\)
0.903335 + 0.428935i \(0.141111\pi\)
\(380\) −20.2691 + 6.25218i −1.03978 + 0.320730i
\(381\) 1.08438 + 19.7492i 0.0555546 + 1.01178i
\(382\) 1.34931 18.0053i 0.0690367 0.921230i
\(383\) −2.92653 + 0.441104i −0.149539 + 0.0225393i −0.223385 0.974730i \(-0.571711\pi\)
0.0738462 + 0.997270i \(0.476473\pi\)
\(384\) −30.8876 29.8278i −1.57623 1.52215i
\(385\) −7.60432 18.5375i −0.387552 0.944760i
\(386\) −9.58936 + 4.61799i −0.488086 + 0.235050i
\(387\) −35.7247 1.42597i −1.81599 0.0724862i
\(388\) 11.3763 + 49.8426i 0.577542 + 2.53038i
\(389\) 0.781255 + 10.4251i 0.0396112 + 0.528575i 0.981350 + 0.192230i \(0.0615719\pi\)
−0.941739 + 0.336345i \(0.890809\pi\)
\(390\) 37.0594 + 18.7665i 1.87658 + 0.950278i
\(391\) −4.68885 + 8.12132i −0.237125 + 0.410713i
\(392\) −52.3373 33.3872i −2.64343 1.68631i
\(393\) −3.75006 18.0857i −0.189166 0.912303i
\(394\) −46.7132 7.04088i −2.35338 0.354715i
\(395\) 21.3830 + 10.2975i 1.07589 + 0.518123i
\(396\) −62.4574 + 6.87953i −3.13860 + 0.345709i
\(397\) 14.9519 + 7.20045i 0.750414 + 0.361380i 0.769677 0.638434i \(-0.220417\pi\)
−0.0192624 + 0.999814i \(0.506132\pi\)
\(398\) −12.2426 8.34685i −0.613665 0.418390i
\(399\) 2.09742 + 9.39124i 0.105002 + 0.470150i
\(400\) −14.8827 + 10.1468i −0.744134 + 0.507342i
\(401\) −32.7580 + 4.93747i −1.63586 + 0.246566i −0.901683 0.432398i \(-0.857668\pi\)
−0.734172 + 0.678963i \(0.762430\pi\)
\(402\) 3.95458 9.51363i 0.197237 0.474497i
\(403\) −19.8349 2.98964i −0.988049 0.148924i
\(404\) 7.13906 31.2783i 0.355181 1.55615i
\(405\) −2.47867 17.0206i −0.123166 0.845763i
\(406\) −1.31307 14.5373i −0.0651666 0.721475i
\(407\) −11.0619 + 28.1852i −0.548317 + 1.39709i
\(408\) 7.93926 19.0997i 0.393052 0.945574i
\(409\) 9.70795 + 9.00766i 0.480027 + 0.445400i 0.882695 0.469946i \(-0.155727\pi\)
−0.402668 + 0.915346i \(0.631917\pi\)
\(410\) −4.35386 + 7.54110i −0.215022 + 0.372429i
\(411\) −10.8045 3.57025i −0.532945 0.176108i
\(412\) 81.5046 25.1408i 4.01544 1.23860i
\(413\) −10.2718 1.38806i −0.505440 0.0683019i
\(414\) 56.0544 6.17426i 2.75493 0.303448i
\(415\) 4.94020 + 21.6444i 0.242505 + 1.06248i
\(416\) 31.1550 79.3816i 1.52750 3.89200i
\(417\) −14.3379 + 17.2613i −0.702130 + 0.845290i
\(418\) 21.4618 + 6.62008i 1.04973 + 0.323798i
\(419\) −0.572181 0.176494i −0.0279529 0.00862232i 0.280747 0.959782i \(-0.409418\pi\)
−0.308700 + 0.951159i \(0.599894\pi\)
\(420\) −22.9582 40.1968i −1.12024 1.96140i
\(421\) 32.8539 10.1341i 1.60120 0.493906i 0.639683 0.768639i \(-0.279066\pi\)
0.961521 + 0.274733i \(0.0885895\pi\)
\(422\) 10.4935 0.510816
\(423\) −19.4903 + 8.44574i −0.947653 + 0.410646i
\(424\) 22.1475 97.0347i 1.07558 4.71242i
\(425\) −1.49928 1.02219i −0.0727256 0.0495835i
\(426\) −1.92433 5.20612i −0.0932339 0.252238i
\(427\) 3.35088 + 13.7120i 0.162161 + 0.663568i
\(428\) 9.03763 + 23.0275i 0.436850 + 1.11308i
\(429\) −15.4007 27.9477i −0.743552 1.34933i
\(430\) −60.7909 9.16276i −2.93160 0.441867i
\(431\) 13.5408 6.52090i 0.652237 0.314101i −0.0783444 0.996926i \(-0.524963\pi\)
0.730582 + 0.682826i \(0.239249\pi\)
\(432\) −67.4748 + 16.4663i −3.24638 + 0.792235i
\(433\) −25.1961 12.1338i −1.21085 0.583114i −0.284100 0.958795i \(-0.591695\pi\)
−0.926749 + 0.375681i \(0.877409\pi\)
\(434\) 22.9038 + 20.6094i 1.09942 + 0.989282i
\(435\) 2.59694 6.24753i 0.124514 0.299546i
\(436\) −0.411602 + 0.280625i −0.0197122 + 0.0134395i
\(437\) −13.9740 4.31041i −0.668467 0.206195i
\(438\) −10.1493 9.80105i −0.484951 0.468312i
\(439\) 30.6155 + 4.61455i 1.46120 + 0.220240i 0.831035 0.556221i \(-0.187749\pi\)
0.630165 + 0.776461i \(0.282987\pi\)
\(440\) −67.1626 −3.20185
\(441\) −19.0046 + 8.93455i −0.904980 + 0.425455i
\(442\) 16.8981 0.803762
\(443\) 6.65455 + 1.00301i 0.316167 + 0.0476545i 0.305209 0.952285i \(-0.401274\pi\)
0.0109583 + 0.999940i \(0.496512\pi\)
\(444\) −16.9231 + 67.8746i −0.803133 + 3.22118i
\(445\) 20.5148 + 6.32799i 0.972496 + 0.299975i
\(446\) 24.4772 16.6883i 1.15903 0.790212i
\(447\) −22.4840 29.3775i −1.06346 1.38951i
\(448\) −49.2627 + 34.7011i −2.32744 + 1.63947i
\(449\) 1.67845 + 0.808297i 0.0792108 + 0.0381459i 0.473070 0.881025i \(-0.343146\pi\)
−0.393859 + 0.919171i \(0.628860\pi\)
\(450\) 0.380814 + 10.9055i 0.0179518 + 0.514088i
\(451\) 6.02663 2.90227i 0.283783 0.136663i
\(452\) −45.7081 6.88939i −2.14993 0.324050i
\(453\) 1.32807 2.19785i 0.0623984 0.103264i
\(454\) 25.4058 + 64.7329i 1.19235 + 3.03807i
\(455\) 14.3747 18.6014i 0.673896 0.872047i
\(456\) 31.7924 + 5.44256i 1.48882 + 0.254871i
\(457\) 4.61471 + 3.14626i 0.215867 + 0.147176i 0.666426 0.745571i \(-0.267823\pi\)
−0.450559 + 0.892746i \(0.648775\pi\)
\(458\) 6.17177 27.0403i 0.288388 1.26351i
\(459\) −4.02751 5.72149i −0.187988 0.267056i
\(460\) 70.3495 3.28006
\(461\) 4.12060 1.27104i 0.191916 0.0591981i −0.197307 0.980342i \(-0.563220\pi\)
0.389223 + 0.921144i \(0.372744\pi\)
\(462\) −3.89098 + 48.8602i −0.181025 + 2.27318i
\(463\) −24.8452 7.66373i −1.15465 0.356164i −0.342450 0.939536i \(-0.611257\pi\)
−0.812205 + 0.583372i \(0.801733\pi\)
\(464\) −26.1067 8.05284i −1.21197 0.373844i
\(465\) 4.95145 + 13.3958i 0.229618 + 0.621215i
\(466\) −10.6238 + 27.0691i −0.492140 + 1.25395i
\(467\) −5.12701 22.4629i −0.237250 1.03946i −0.943468 0.331465i \(-0.892457\pi\)
0.706218 0.707995i \(-0.250400\pi\)
\(468\) −43.6299 59.4261i −2.01679 2.74697i
\(469\) −4.86706 3.21048i −0.224740 0.148246i
\(470\) −34.9022 + 10.7659i −1.60992 + 0.496594i
\(471\) 1.55091 + 7.47972i 0.0714624 + 0.344647i
\(472\) −17.3719 + 30.0890i −0.799607 + 1.38496i
\(473\) 34.6188 + 32.1216i 1.59177 + 1.47695i
\(474\) −35.2860 46.1046i −1.62074 2.11765i
\(475\) 1.03380 2.63407i 0.0474339 0.120860i
\(476\) −15.7190 10.3688i −0.720478 0.475252i
\(477\) −23.7478 23.8665i −1.08734 1.09277i
\(478\) 0.0165333 0.0724372i 0.000756217 0.00331320i
\(479\) −30.1494 4.54430i −1.37756 0.207634i −0.581844 0.813300i \(-0.697669\pi\)
−0.795719 + 0.605666i \(0.792907\pi\)
\(480\) −60.2055 + 7.84983i −2.74799 + 0.358294i
\(481\) −35.1278 + 5.29466i −1.60169 + 0.241416i
\(482\) 35.4799 24.1898i 1.61607 1.10181i
\(483\) 2.53346 31.8135i 0.115276 1.44756i
\(484\) 20.5369 + 14.0018i 0.933493 + 0.636445i
\(485\) 16.6545 + 8.02039i 0.756243 + 0.364187i
\(486\) −13.4008 + 39.8852i −0.607874 + 1.80923i
\(487\) −20.7532 9.99423i −0.940419 0.452882i −0.100102 0.994977i \(-0.531917\pi\)
−0.840317 + 0.542095i \(0.817631\pi\)
\(488\) 46.7864 + 7.05192i 2.11792 + 0.319225i
\(489\) 18.1805 16.2064i 0.822153 0.732878i
\(490\) −34.1640 + 11.6928i −1.54337 + 0.528228i
\(491\) −2.00079 + 3.46547i −0.0902943 + 0.156394i −0.907635 0.419760i \(-0.862114\pi\)
0.817341 + 0.576155i \(0.195447\pi\)
\(492\) 12.9397 8.44907i 0.583366 0.380913i
\(493\) −0.205676 2.74456i −0.00926319 0.123609i
\(494\) 5.86368 + 25.6905i 0.263820 + 1.15587i
\(495\) −12.1354 + 19.2068i −0.545445 + 0.863283i
\(496\) 51.9586 25.0219i 2.33301 1.12352i
\(497\) −3.09847 + 0.515555i −0.138986 + 0.0231258i
\(498\) 13.1387 52.6965i 0.588761 2.36138i
\(499\) −10.4789 + 1.57944i −0.469100 + 0.0707055i −0.379339 0.925258i \(-0.623849\pi\)
−0.0897614 + 0.995963i \(0.528610\pi\)
\(500\) −4.79171 + 63.9410i −0.214292 + 2.85953i
\(501\) −5.09873 2.58195i −0.227795 0.115353i
\(502\) 6.89931 2.12816i 0.307931 0.0949843i
\(503\) 19.1141 23.9683i 0.852255 1.06869i −0.144603 0.989490i \(-0.546191\pi\)
0.996858 0.0792046i \(-0.0252380\pi\)
\(504\) 3.53115 + 70.3032i 0.157290 + 3.13155i
\(505\) −7.23258 9.06937i −0.321845 0.403581i
\(506\) −61.5457 41.9612i −2.73604 1.86540i
\(507\) 7.71755 12.7719i 0.342749 0.567220i
\(508\) 30.1793 52.2720i 1.33899 2.31920i
\(509\) 6.93499 12.0118i 0.307388 0.532412i −0.670402 0.741998i \(-0.733878\pi\)
0.977790 + 0.209586i \(0.0672117\pi\)
\(510\) −5.80655 10.5372i −0.257119 0.466595i
\(511\) −6.52773 + 4.59819i −0.288770 + 0.203412i
\(512\) 1.79915 + 7.88260i 0.0795120 + 0.348365i
\(513\) 7.30091 8.10845i 0.322343 0.357997i
\(514\) −50.2306 62.9872i −2.21558 2.77825i
\(515\) 11.2671 28.7080i 0.496486 1.26503i
\(516\) 88.9041 + 63.2476i 3.91378 + 2.78432i
\(517\) 26.8110 + 8.27011i 1.17915 + 0.363719i
\(518\) 49.5190 + 22.9217i 2.17574 + 1.00712i
\(519\) 15.5300 25.7008i 0.681691 1.12814i
\(520\) −39.3999 68.2427i −1.72780 2.99264i
\(521\) −30.0013 −1.31438 −0.657190 0.753725i \(-0.728255\pi\)
−0.657190 + 0.753725i \(0.728255\pi\)
\(522\) −12.5720 + 10.7646i −0.550261 + 0.471154i
\(523\) −39.9513 + 19.2396i −1.74695 + 0.841287i −0.767107 + 0.641519i \(0.778304\pi\)
−0.979843 + 0.199768i \(0.935981\pi\)
\(524\) −20.5926 + 52.4690i −0.899591 + 2.29212i
\(525\) 6.10204 + 0.948883i 0.266315 + 0.0414126i
\(526\) −8.59339 21.8956i −0.374690 0.954694i
\(527\) 4.25876 + 3.95155i 0.185514 + 0.172132i
\(528\) 81.8460 + 41.4460i 3.56189 + 1.80370i
\(529\) 21.0697 + 14.3650i 0.916072 + 0.624567i
\(530\) −36.0957 45.2626i −1.56790 1.96608i
\(531\) 5.46584 + 10.4046i 0.237197 + 0.451522i
\(532\) 10.3093 27.4958i 0.446965 1.19209i
\(533\) 6.48438 + 4.42098i 0.280870 + 0.191494i
\(534\) −37.7782 36.4821i −1.63482 1.57873i
\(535\) 8.54700 + 2.63640i 0.369519 + 0.113982i
\(536\) −16.1480 + 11.0095i −0.697488 + 0.475539i
\(537\) 0.0734330 + 1.33739i 0.00316887 + 0.0577127i
\(538\) −7.76707 13.4530i −0.334862 0.579998i
\(539\) 26.7436 + 7.36235i 1.15193 + 0.317119i
\(540\) −22.0643 + 47.6264i −0.949494 + 2.04951i
\(541\) 26.8899 33.7188i 1.15609 1.44968i 0.285017 0.958522i \(-0.408001\pi\)
0.871068 0.491163i \(-0.163428\pi\)
\(542\) −5.59102 74.6070i −0.240155 3.20465i
\(543\) −26.1104 18.5753i −1.12050 0.797142i
\(544\) −20.4067 + 13.9131i −0.874932 + 0.596518i
\(545\) −0.0134605 + 0.179618i −0.000576584 + 0.00769398i
\(546\) −51.9286 + 24.7096i −2.22234 + 1.05747i
\(547\) −0.280367 3.74123i −0.0119876 0.159964i −0.999985 0.00549249i \(-0.998252\pi\)
0.987997 0.154471i \(-0.0493674\pi\)
\(548\) 21.6507 + 27.1491i 0.924872 + 1.15975i
\(549\) 10.4704 12.1056i 0.446864 0.516654i
\(550\) 8.98673 11.2690i 0.383195 0.480512i
\(551\) 4.10122 1.26506i 0.174718 0.0538933i
\(552\) −95.4371 48.3284i −4.06207 2.05699i
\(553\) −29.3811 + 14.7064i −1.24941 + 0.625380i
\(554\) 24.3511 3.67034i 1.03458 0.155938i
\(555\) 15.3722 + 20.0853i 0.652515 + 0.852574i
\(556\) 65.4352 20.1841i 2.77507 0.855996i
\(557\) −21.7646 −0.922197 −0.461098 0.887349i \(-0.652544\pi\)
−0.461098 + 0.887349i \(0.652544\pi\)
\(558\) 3.99825 34.7071i 0.169259 1.46927i
\(559\) −12.3295 + 54.0192i −0.521484 + 2.28477i
\(560\) −4.02038 + 67.4670i −0.169892 + 2.85100i
\(561\) −0.874346 + 9.20059i −0.0369149 + 0.388449i
\(562\) 81.7444 + 25.2148i 3.44818 + 1.06362i
\(563\) −2.63715 + 0.397486i −0.111143 + 0.0167521i −0.204378 0.978892i \(-0.565517\pi\)
0.0932354 + 0.995644i \(0.470279\pi\)
\(564\) 63.8925 + 10.9378i 2.69036 + 0.460564i
\(565\) −12.2518 + 11.3680i −0.515437 + 0.478256i
\(566\) 1.72870 + 7.57393i 0.0726627 + 0.318356i
\(567\) 20.7430 + 11.6930i 0.871125 + 0.491062i
\(568\) −2.34289 + 10.2649i −0.0983055 + 0.430704i
\(569\) 16.3036 + 28.2386i 0.683481 + 1.18382i 0.973912 + 0.226927i \(0.0728679\pi\)
−0.290431 + 0.956896i \(0.593799\pi\)
\(570\) 14.0050 12.4842i 0.586603 0.522906i
\(571\) 2.41893 + 2.24444i 0.101229 + 0.0939267i 0.729164 0.684339i \(-0.239909\pi\)
−0.627935 + 0.778266i \(0.716100\pi\)
\(572\) −7.27713 + 97.1065i −0.304272 + 4.06023i
\(573\) 4.01697 + 10.8676i 0.167811 + 0.454001i
\(574\) −4.57508 11.1530i −0.190960 0.465516i
\(575\) −5.85136 + 7.33738i −0.244019 + 0.305990i
\(576\) 64.4350 + 22.7273i 2.68479 + 0.946973i
\(577\) 19.1296 23.9877i 0.796375 0.998623i −0.203434 0.979089i \(-0.565210\pi\)
0.999809 0.0195340i \(-0.00621825\pi\)
\(578\) 33.8692 + 23.0917i 1.40877 + 0.960486i
\(579\) 4.36396 5.25374i 0.181360 0.218338i
\(580\) −17.0592 + 11.6308i −0.708345 + 0.482942i
\(581\) −27.8917 12.9107i −1.15714 0.535627i
\(582\) −27.4831 35.9094i −1.13921 1.48849i
\(583\) 3.32340 + 44.3477i 0.137641 + 1.83669i
\(584\) 5.95566 + 26.0935i 0.246447 + 1.07975i
\(585\) −26.6348 1.06314i −1.10121 0.0439555i
\(586\) −11.1838 + 14.0240i −0.461998 + 0.579328i
\(587\) −2.34163 4.05582i −0.0966495 0.167402i 0.813646 0.581360i \(-0.197479\pi\)
−0.910296 + 0.413958i \(0.864146\pi\)
\(588\) 63.4669 + 8.87832i 2.61733 + 0.366136i
\(589\) −4.52980 + 7.84585i −0.186647 + 0.323283i
\(590\) 7.38325 + 18.8122i 0.303964 + 0.774487i
\(591\) 29.1398 8.35568i 1.19865 0.343707i
\(592\) 74.8690 69.4682i 3.07710 2.85513i
\(593\) 2.38705 + 1.14954i 0.0980242 + 0.0472060i 0.482253 0.876032i \(-0.339818\pi\)
−0.384229 + 0.923238i \(0.625533\pi\)
\(594\) 47.7106 28.5057i 1.95759 1.16960i
\(595\) −6.47475 + 2.10606i −0.265439 + 0.0863402i
\(596\) 8.43654 + 112.578i 0.345574 + 4.61137i
\(597\) 9.37178 + 1.60436i 0.383562 + 0.0656620i
\(598\) 6.53109 87.1514i 0.267076 3.56389i
\(599\) −6.76005 17.2243i −0.276208 0.703767i −0.999907 0.0136509i \(-0.995655\pi\)
0.723699 0.690116i \(-0.242441\pi\)
\(600\) 10.7054 17.7166i 0.437047 0.723276i
\(601\) −10.3925 1.56641i −0.423918 0.0638953i −0.0663810 0.997794i \(-0.521145\pi\)
−0.357537 + 0.933899i \(0.616383\pi\)
\(602\) 61.4975 58.8353i 2.50645 2.39795i
\(603\) 0.230721 + 6.60721i 0.00939569 + 0.269066i
\(604\) −7.06044 + 3.40013i −0.287285 + 0.138349i
\(605\) 8.58788 2.64901i 0.349147 0.107698i
\(606\) 5.76142 + 27.7860i 0.234042 + 1.12873i
\(607\) 2.95637 5.12058i 0.119995 0.207838i −0.799770 0.600306i \(-0.795045\pi\)
0.919766 + 0.392468i \(0.128379\pi\)
\(608\) −28.2334 26.1968i −1.14502 1.06242i
\(609\) 4.64533 + 8.13337i 0.188238 + 0.329581i
\(610\) 20.1746 18.7193i 0.816845 0.757922i
\(611\) 7.32519 + 32.0938i 0.296346 + 1.29837i
\(612\) 0.745152 + 21.3391i 0.0301210 + 0.862581i
\(613\) 17.9784 + 22.5442i 0.726141 + 0.910552i 0.998668 0.0515957i \(-0.0164307\pi\)
−0.272527 + 0.962148i \(0.587859\pi\)
\(614\) −56.4493 + 52.3773i −2.27811 + 2.11378i
\(615\) 0.528624 5.56262i 0.0213162 0.224306i
\(616\) 56.8541 73.5714i 2.29072 2.96427i
\(617\) 11.4654 + 10.6383i 0.461578 + 0.428282i 0.876373 0.481633i \(-0.159956\pi\)
−0.414795 + 0.909915i \(0.636147\pi\)
\(618\) −56.3157 + 50.2006i −2.26535 + 2.01936i
\(619\) −11.8112 20.4576i −0.474732 0.822261i 0.524849 0.851195i \(-0.324122\pi\)
−0.999581 + 0.0289348i \(0.990788\pi\)
\(620\) 9.69804 42.4899i 0.389483 1.70644i
\(621\) −31.0650 + 18.5604i −1.24659 + 0.744802i
\(622\) −25.5506 32.0395i −1.02449 1.28467i
\(623\) −24.2979 + 17.1157i −0.973476 + 0.685724i
\(624\) 5.90126 + 107.476i 0.236239 + 4.30248i
\(625\) 12.0559 + 11.1862i 0.482235 + 0.447449i
\(626\) −10.8041 27.5285i −0.431820 1.10026i
\(627\) −14.2912 + 1.86334i −0.570735 + 0.0744146i
\(628\) 8.51649 21.6997i 0.339845 0.865910i
\(629\) 9.26996 + 4.46418i 0.369617 + 0.177998i
\(630\) 33.2519 + 23.8904i 1.32479 + 0.951817i
\(631\) −32.7739 + 15.7831i −1.30471 + 0.628314i −0.951620 0.307277i \(-0.900582\pi\)
−0.353087 + 0.935591i \(0.614868\pi\)
\(632\) 8.23030 + 109.826i 0.327384 + 4.36863i
\(633\) −6.12384 + 2.80002i −0.243401 + 0.111291i
\(634\) 39.9450 27.2341i 1.58642 1.08160i
\(635\) −7.97317 20.3153i −0.316406 0.806188i
\(636\) 20.8604 + 100.605i 0.827167 + 3.98924i
\(637\) 8.20798 + 31.4927i 0.325212 + 1.24779i
\(638\) 21.8617 0.865515
\(639\) 2.51217 + 2.52473i 0.0993799 + 0.0998770i
\(640\) 42.6864 + 20.5567i 1.68733 + 0.812575i
\(641\) 9.78660 9.08064i 0.386548 0.358664i −0.462832 0.886446i \(-0.653167\pi\)
0.849380 + 0.527782i \(0.176976\pi\)
\(642\) −15.7394 15.1994i −0.621184 0.599871i
\(643\) 1.32966 17.7431i 0.0524367 0.699719i −0.907598 0.419840i \(-0.862086\pi\)
0.960035 0.279880i \(-0.0902946\pi\)
\(644\) −59.5519 + 77.0624i −2.34667 + 3.03668i
\(645\) 37.9215 10.8738i 1.49316 0.428155i
\(646\) 2.78829 7.10444i 0.109704 0.279520i
\(647\) 15.5940 7.50969i 0.613065 0.295236i −0.101468 0.994839i \(-0.532354\pi\)
0.714532 + 0.699602i \(0.246640\pi\)
\(648\) 62.6508 49.4530i 2.46116 1.94270i
\(649\) 3.45447 15.1350i 0.135600 0.594101i
\(650\) 16.7222 + 2.52046i 0.655897 + 0.0988606i
\(651\) −18.8655 5.91582i −0.739399 0.231859i
\(652\) −73.4939 + 11.0774i −2.87824 + 0.433825i
\(653\) 1.53345 20.4625i 0.0600086 0.800759i −0.883293 0.468822i \(-0.844679\pi\)
0.943301 0.331937i \(-0.107702\pi\)
\(654\) 0.227880 0.377122i 0.00891081 0.0147466i
\(655\) 10.1900 + 17.6497i 0.398158 + 0.689630i
\(656\) −22.5633 −0.880947
\(657\) 8.53819 + 3.01157i 0.333107 + 0.117493i
\(658\) 17.7520 47.3461i 0.692046 1.84574i
\(659\) −5.46742 + 5.07302i −0.212980 + 0.197617i −0.779448 0.626467i \(-0.784500\pi\)
0.566467 + 0.824084i \(0.308310\pi\)
\(660\) 63.0534 28.8300i 2.45435 1.12221i
\(661\) 4.54051 0.684372i 0.176605 0.0266190i −0.0601441 0.998190i \(-0.519156\pi\)
0.236750 + 0.971571i \(0.423918\pi\)
\(662\) −17.3306 + 2.61216i −0.673571 + 0.101525i
\(663\) −9.86147 + 4.50898i −0.382988 + 0.175114i
\(664\) −75.5214 + 70.0736i −2.93080 + 2.71938i
\(665\) −5.44863 9.11285i −0.211289 0.353381i
\(666\) −11.3512 60.8227i −0.439850 2.35683i
\(667\) −14.2344 −0.551160
\(668\) 8.72042 + 15.1042i 0.337403 + 0.584400i
\(669\) −9.83150 + 16.2703i −0.380108 + 0.629047i
\(670\) −0.849534 + 11.3362i −0.0328204 + 0.437957i
\(671\) −20.9051 + 3.15094i −0.807033 + 0.121641i
\(672\) 42.3660 72.5955i 1.63430 2.80043i
\(673\) −37.2207 5.61011i −1.43475 0.216254i −0.614798 0.788685i \(-0.710762\pi\)
−0.819953 + 0.572431i \(0.806001\pi\)
\(674\) −4.66083 + 20.4204i −0.179528 + 0.786565i
\(675\) −3.13217 6.26263i −0.120557 0.241049i
\(676\) −41.0288 + 19.7584i −1.57803 + 0.759939i
\(677\) 7.80722 19.8925i 0.300056 0.764530i −0.698735 0.715380i \(-0.746254\pi\)
0.998791 0.0491500i \(-0.0156512\pi\)
\(678\) 39.3016 11.2695i 1.50937 0.432804i
\(679\) −22.8840 + 11.4543i −0.878208 + 0.439577i
\(680\) −1.70553 + 22.7588i −0.0654042 + 0.872759i
\(681\) −32.0993 30.9980i −1.23005 1.18784i
\(682\) −33.8282 + 31.3880i −1.29535 + 1.20191i
\(683\) −4.88510 2.35254i −0.186923 0.0900175i 0.338081 0.941117i \(-0.390222\pi\)
−0.525005 + 0.851099i \(0.675936\pi\)
\(684\) −32.1835 + 8.53756i −1.23057 + 0.326442i
\(685\) 12.5556 0.479724
\(686\) 16.1117 47.3221i 0.615149 1.80677i
\(687\) 3.61350 + 17.4271i 0.137864 + 0.664885i
\(688\) −58.1986 148.288i −2.21880 5.65341i
\(689\) −43.1113 + 29.3928i −1.64241 + 1.11978i
\(690\) −56.5893 + 25.8744i −2.15432 + 0.985023i
\(691\) −3.82284 51.0123i −0.145428 1.94060i −0.302790 0.953057i \(-0.597918\pi\)
0.157362 0.987541i \(-0.449701\pi\)
\(692\) −82.5620 + 39.7597i −3.13853 + 1.51144i
\(693\) −10.7668 29.5522i −0.408997 1.12260i
\(694\) 10.1035 + 4.86560i 0.383524 + 0.184696i
\(695\) 9.04566 23.0480i 0.343121 0.874259i
\(696\) 31.1328 4.05922i 1.18009 0.153864i
\(697\) −0.830426 2.11589i −0.0314546 0.0801451i
\(698\) −15.8809 14.7353i −0.601101 0.557740i
\(699\) −1.02303 18.6319i −0.0386947 0.704723i
\(700\) −14.0087 12.6054i −0.529479 0.476439i
\(701\) 10.0162 + 12.5599i 0.378306 + 0.474380i 0.934137 0.356915i \(-0.116171\pi\)
−0.555831 + 0.831295i \(0.687600\pi\)
\(702\) 56.9528 + 31.7555i 2.14955 + 1.19853i
\(703\) −3.57026 + 15.6423i −0.134655 + 0.589961i
\(704\) −45.1250 78.1588i −1.70071 2.94572i
\(705\) 17.4957 15.5959i 0.658924 0.587374i
\(706\) 12.0958 + 11.2233i 0.455233 + 0.422395i
\(707\) 16.0573 0.245372i 0.603896 0.00922817i
\(708\) 3.39311 35.7051i 0.127521 1.34188i
\(709\) −15.3697 + 14.2610i −0.577222 + 0.535584i −0.913849 0.406054i \(-0.866904\pi\)
0.336627 + 0.941638i \(0.390714\pi\)
\(710\) 3.81841 + 4.78813i 0.143302 + 0.179695i
\(711\) 32.8945 + 17.4904i 1.23364 + 0.655941i
\(712\) 22.1685 + 97.1266i 0.830800 + 3.63997i
\(713\) 22.0260 20.4371i 0.824878 0.765375i
\(714\) 16.4580 + 2.55926i 0.615925 + 0.0957779i
\(715\) 25.8103 + 23.9485i 0.965250 + 0.895621i
\(716\) 2.04370 3.53980i 0.0763768 0.132288i
\(717\) 0.00968007 + 0.0466848i 0.000361509 + 0.00174348i
\(718\) 20.4316 6.30232i 0.762501 0.235200i
\(719\) 33.4616 16.1143i 1.24791 0.600960i 0.310957 0.950424i \(-0.399351\pi\)
0.936950 + 0.349464i \(0.113636\pi\)
\(720\) 64.9911 40.6109i 2.42208 1.51348i
\(721\) 21.9096 + 36.6439i 0.815957 + 1.36469i
\(722\) −38.9433 5.86976i −1.44932 0.218450i
\(723\) −14.2508 + 23.5840i −0.529995 + 0.877097i
\(724\) 35.7253 + 91.0266i 1.32772 + 3.38298i
\(725\) 0.205833 2.74666i 0.00764446 0.102008i
\(726\) −21.6697 3.70965i −0.804239 0.137678i
\(727\) −3.18248 42.4672i −0.118032 1.57502i −0.670769 0.741666i \(-0.734036\pi\)
0.552738 0.833355i \(-0.313583\pi\)
\(728\) 108.107 + 14.6089i 4.00672 + 0.541442i
\(729\) −2.82217 26.8521i −0.104525 0.994522i
\(730\) 14.0262 + 6.75467i 0.519134 + 0.250002i
\(731\) 11.7639 10.9153i 0.435102 0.403716i
\(732\) −46.9510 + 13.4630i −1.73536 + 0.497605i
\(733\) −8.42971 21.4786i −0.311359 0.793329i −0.997810 0.0661525i \(-0.978928\pi\)
0.686451 0.727176i \(-0.259168\pi\)
\(734\) −35.5349 + 61.5483i −1.31162 + 2.27179i
\(735\) 16.8175 15.9398i 0.620323 0.587949i
\(736\) 63.8690 + 110.624i 2.35424 + 4.07766i
\(737\) 5.44472 6.82746i 0.200559 0.251493i
\(738\) −7.30117 + 11.5557i −0.268760 + 0.425369i
\(739\) −0.632477 2.77106i −0.0232661 0.101935i 0.961962 0.273184i \(-0.0880769\pi\)
−0.985228 + 0.171249i \(0.945220\pi\)
\(740\) −5.76804 76.9692i −0.212037 2.82944i
\(741\) −10.2770 13.4279i −0.377536 0.493287i
\(742\) 80.1372 1.22458i 2.94193 0.0449558i
\(743\) −28.6572 + 19.5382i −1.05133 + 0.716786i −0.960274 0.279059i \(-0.909977\pi\)
−0.0910584 + 0.995846i \(0.529025\pi\)
\(744\) −42.3460 + 50.9801i −1.55248 + 1.86902i
\(745\) 33.7263 + 22.9942i 1.23564 + 0.842442i
\(746\) 26.3357 33.0239i 0.964219 1.20909i
\(747\) 6.39361 + 34.2586i 0.233930 + 1.25346i
\(748\) 17.5846 22.0504i 0.642958 0.806243i
\(749\) −10.1231 + 7.13082i −0.369891 + 0.260555i
\(750\) −19.6629 53.1966i −0.717988 1.94247i
\(751\) 1.33799 17.8542i 0.0488239 0.651509i −0.918084 0.396385i \(-0.870265\pi\)
0.966908 0.255124i \(-0.0821164\pi\)
\(752\) −69.3779 64.3733i −2.52995 2.34745i
\(753\) −3.45846 + 3.08292i −0.126033 + 0.112348i
\(754\) 12.8249 + 22.2133i 0.467054 + 0.808962i
\(755\) −0.630502 + 2.76241i −0.0229463 + 0.100534i
\(756\) −33.4933 64.4861i −1.21814 2.34534i
\(757\) 5.83803 + 25.5781i 0.212187 + 0.929652i 0.963077 + 0.269225i \(0.0867675\pi\)
−0.750890 + 0.660427i \(0.770375\pi\)
\(758\) 17.5548 16.2885i 0.637620 0.591625i
\(759\) 47.1137 + 8.06541i 1.71012 + 0.292756i
\(760\) −35.1923 + 5.30439i −1.27656 + 0.192410i
\(761\) 44.9175 + 13.8552i 1.62826 + 0.502251i 0.968455 0.249188i \(-0.0801636\pi\)
0.659803 + 0.751439i \(0.270640\pi\)
\(762\) −5.05070 + 53.1476i −0.182968 + 1.92534i
\(763\) −0.185363 0.166794i −0.00671058 0.00603835i
\(764\) 7.86774 34.4708i 0.284645 1.24711i
\(765\) 6.20028 + 4.59995i 0.224172 + 0.166312i
\(766\) −7.98849 −0.288636
\(767\) 17.4049 5.36871i 0.628455 0.193853i
\(768\) −22.4902 29.3856i −0.811545 1.06036i
\(769\) −17.5838 + 2.65033i −0.634089 + 0.0955735i −0.458218 0.888840i \(-0.651512\pi\)
−0.175871 + 0.984413i \(0.556274\pi\)
\(770\) −12.8387 52.5366i −0.462676 1.89329i
\(771\) 46.1208 + 23.3551i 1.66100 + 0.841114i
\(772\) −19.9162 + 6.14334i −0.716800 + 0.221104i
\(773\) 8.56650 10.7421i 0.308116 0.386365i −0.603531 0.797339i \(-0.706240\pi\)
0.911647 + 0.410975i \(0.134812\pi\)
\(774\) −94.7770 18.1778i −3.40669 0.653387i
\(775\) 3.62501 + 4.54562i 0.130214 + 0.163283i
\(776\) 6.41032 + 85.5397i 0.230117 + 3.07070i
\(777\) −35.0147 0.163427i −1.25615 0.00586289i
\(778\) −2.10876 + 28.1394i −0.0756026 + 1.00885i
\(779\) 2.92866 1.99673i 0.104930 0.0715402i
\(780\) 66.2830 + 47.1547i 2.37331 + 1.68841i
\(781\) −0.351568 4.69135i −0.0125801 0.167870i
\(782\) −15.7819 + 19.7899i −0.564359 + 0.707684i
\(783\) 4.46445 9.63667i 0.159547 0.344386i
\(784\) −70.5015 61.5158i −2.51791 2.19699i
\(785\) −4.21430 7.29939i −0.150415 0.260526i
\(786\) −2.73331 49.7801i −0.0974941 1.77560i
\(787\) 26.7581 18.2433i 0.953822 0.650305i 0.0169055 0.999857i \(-0.494619\pi\)
0.936917 + 0.349552i \(0.113666\pi\)
\(788\) −88.3985 27.2673i −3.14906 0.971358i
\(789\) 10.8574 + 10.4849i 0.386535 + 0.373273i
\(790\) 52.9295 + 36.0867i 1.88315 + 1.28391i
\(791\) −2.08144 23.0441i −0.0740074 0.819353i
\(792\) −105.345 4.20489i −3.74326 0.149414i
\(793\) −15.4653 19.3929i −0.549189 0.688661i
\(794\) 37.0106 + 25.2334i 1.31346 + 0.895499i
\(795\) 33.1424 + 16.7830i 1.17544 + 0.595231i
\(796\) −21.2699 19.7356i −0.753891 0.699509i
\(797\) 4.45628 + 11.3544i 0.157850 + 0.402194i 0.987817 0.155617i \(-0.0497365\pi\)
−0.829968 + 0.557811i \(0.811641\pi\)
\(798\) 1.82008 + 25.9094i 0.0644300 + 0.917183i
\(799\) 3.48326 8.87520i 0.123229 0.313982i
\(800\) −22.2695 + 10.7244i −0.787344 + 0.379165i
\(801\) 31.7814 + 11.2098i 1.12294 + 0.396080i
\(802\) −89.4188 −3.15749
\(803\) −5.97946 10.3567i −0.211010 0.365481i
\(804\) 10.4341 17.2676i 0.367983 0.608981i
\(805\) 8.35945 + 34.2072i 0.294632 + 1.20565i
\(806\) −51.7376 15.9589i −1.82238 0.562130i
\(807\) 8.12243 + 5.77841i 0.285923 + 0.203410i
\(808\) 19.6664 50.1090i 0.691860 1.76283i
\(809\) −20.2912 25.4443i −0.713400 0.894576i 0.284544 0.958663i \(-0.408158\pi\)
−0.997944 + 0.0640873i \(0.979586\pi\)
\(810\) 0.231621 46.4260i 0.00813833 1.63124i
\(811\) 7.06374 + 30.9482i 0.248041 + 1.08674i 0.933486 + 0.358615i \(0.116751\pi\)
−0.685444 + 0.728125i \(0.740392\pi\)
\(812\) 1.70027 28.5327i 0.0596678 1.00130i
\(813\) 23.1704 + 42.0475i 0.812623 + 1.47467i
\(814\) −40.8634 + 70.7774i −1.43226 + 2.48075i
\(815\) −13.4367 + 23.2731i −0.470667 + 0.815220i
\(816\) 16.1228 26.6819i 0.564412 0.934055i
\(817\) 20.6767 + 14.0971i 0.723387 + 0.493197i
\(818\) 22.2872 + 27.9473i 0.779254 + 0.977153i
\(819\) 23.7113 28.2763i 0.828541 0.988056i
\(820\) −10.6316 + 13.3315i −0.371270 + 0.465558i
\(821\) 7.80783 2.40840i 0.272495 0.0840536i −0.155496 0.987836i \(-0.549698\pi\)
0.427991 + 0.903783i \(0.359221\pi\)
\(822\) −27.4013 13.8757i −0.955730 0.483972i
\(823\) −0.449865 + 6.00303i −0.0156813 + 0.209253i 0.983859 + 0.178944i \(0.0572681\pi\)
−0.999541 + 0.0303087i \(0.990351\pi\)
\(824\) 141.513 21.3296i 4.92983 0.743052i
\(825\) −2.23756 + 8.97436i −0.0779020 + 0.312447i
\(826\) −26.8574 7.83705i −0.934487 0.272686i
\(827\) −9.92360 + 4.77895i −0.345077 + 0.166180i −0.598392 0.801203i \(-0.704193\pi\)
0.253315 + 0.967384i \(0.418479\pi\)
\(828\) 110.343 + 4.40442i 3.83470 + 0.153064i
\(829\) −7.07425 30.9943i −0.245699 1.07648i −0.935735 0.352703i \(-0.885263\pi\)
0.690036 0.723775i \(-0.257594\pi\)
\(830\) 4.47819 + 59.7573i 0.155440 + 2.07421i
\(831\) −13.2315 + 8.63963i −0.458997 + 0.299706i
\(832\) 52.9439 91.7015i 1.83550 3.17918i
\(833\) 3.17394 8.87540i 0.109971 0.307514i
\(834\) −45.2126 + 40.3031i −1.56558 + 1.39558i
\(835\) 6.23567 + 0.939877i 0.215794 + 0.0325258i
\(836\) 39.6255 + 19.0826i 1.37048 + 0.659986i
\(837\) 6.92768 + 21.3213i 0.239456 + 0.736973i
\(838\) −1.45617 0.701256i −0.0503026 0.0242245i
\(839\) 24.1421 + 16.4598i 0.833479 + 0.568256i 0.903156 0.429314i \(-0.141244\pi\)
−0.0696770 + 0.997570i \(0.522197\pi\)
\(840\) −28.0382 72.4324i −0.967410 2.49916i
\(841\) −20.5092 + 13.9829i −0.707213 + 0.482170i
\(842\) 91.7655 13.8314i 3.16245 0.476662i
\(843\) −54.4328 + 7.09716i −1.87477 + 0.244439i
\(844\) 20.3192 + 3.06262i 0.699415 + 0.105420i
\(845\) −3.66390 + 16.0526i −0.126042 + 0.552226i
\(846\) −55.4182 + 14.7012i −1.90532 + 0.505438i
\(847\) −4.36798 + 11.6498i −0.150086 + 0.400291i
\(848\) 54.8053 139.642i 1.88202 4.79531i
\(849\) −3.02981 3.95875i −0.103983 0.135864i
\(850\) −3.59041 3.33142i −0.123150 0.114267i
\(851\) 26.6066 46.0840i 0.912063 1.57974i
\(852\) −2.20673 10.6425i −0.0756012 0.364607i
\(853\) −25.5754 + 7.88898i −0.875686 + 0.270113i −0.699836 0.714304i \(-0.746744\pi\)
−0.175850 + 0.984417i \(0.556267\pi\)
\(854\) 3.42742 + 37.9458i 0.117284 + 1.29848i
\(855\) −4.84186 + 11.0226i −0.165588 + 0.376964i
\(856\) 9.23597 + 40.4654i 0.315679 + 1.38308i
\(857\) −4.92458 + 12.5476i −0.168220 + 0.428618i −0.989979 0.141218i \(-0.954898\pi\)
0.821758 + 0.569836i \(0.192993\pi\)
\(858\) −29.8619 80.7892i −1.01947 2.75810i
\(859\) −41.8059 12.8954i −1.42640 0.439986i −0.517027 0.855969i \(-0.672961\pi\)
−0.909372 + 0.415983i \(0.863437\pi\)
\(860\) −115.039 35.4847i −3.92278 1.21002i
\(861\) 5.64592 + 5.28790i 0.192413 + 0.180211i
\(862\) 38.7643 11.9572i 1.32032 0.407264i
\(863\) 13.6688 0.465293 0.232646 0.972561i \(-0.425262\pi\)
0.232646 + 0.972561i \(0.425262\pi\)
\(864\) −94.9240 + 8.54314i −3.22938 + 0.290644i
\(865\) −7.37284 + 32.3025i −0.250684 + 1.09832i
\(866\) −62.3682 42.5219i −2.11936 1.44495i
\(867\) −25.9271 4.43848i −0.880532 0.150739i
\(868\) 38.3348 + 46.5918i 1.30117 + 1.58143i
\(869\) −17.9784 45.8082i −0.609876 1.55394i
\(870\) 9.44469 15.6302i 0.320205 0.529913i
\(871\) 10.1313 + 1.52705i 0.343287 + 0.0517422i
\(872\) −0.753073 + 0.362661i −0.0255023 + 0.0122812i
\(873\) 25.6205 + 13.6227i 0.867123 + 0.461059i
\(874\) −35.5632 17.1263i −1.20294 0.579306i
\(875\) −31.6605 + 5.26799i −1.07032 + 0.178090i
\(876\) −16.7921 21.9405i −0.567352 0.741300i
\(877\) 39.1012 26.6587i 1.32035 0.900202i 0.321446 0.946928i \(-0.395831\pi\)
0.998908 + 0.0467261i \(0.0148788\pi\)
\(878\) 79.8578 + 24.6329i 2.69507 + 0.831319i
\(879\) 2.78460 11.1684i 0.0939223 0.376701i
\(880\) −100.096 15.0871i −3.37425 0.508587i
\(881\) −23.7653 −0.800674 −0.400337 0.916368i \(-0.631107\pi\)
−0.400337 + 0.916368i \(0.631107\pi\)
\(882\) −54.3183 + 16.2013i −1.82899 + 0.545525i
\(883\) −47.4600 −1.59715 −0.798577 0.601892i \(-0.794414\pi\)
−0.798577 + 0.601892i \(0.794414\pi\)
\(884\) 32.7208 + 4.93187i 1.10052 + 0.165877i
\(885\) −9.32847 9.00841i −0.313573 0.302814i
\(886\) 17.3578 + 5.35416i 0.583146 + 0.179877i
\(887\) −1.02550 + 0.699175i −0.0344330 + 0.0234760i −0.580414 0.814321i \(-0.697109\pi\)
0.545981 + 0.837797i \(0.316157\pi\)
\(888\) −45.0509 + 108.380i −1.51181 + 3.63699i
\(889\) 29.0032 + 8.46322i 0.972737 + 0.283847i
\(890\) 52.2092 + 25.1426i 1.75006 + 0.842783i
\(891\) −20.2369 + 29.3662i −0.677961 + 0.983805i
\(892\) 52.2671 25.1705i 1.75003 0.842772i
\(893\) 14.7018 + 2.21594i 0.491977 + 0.0741536i
\(894\) −48.1923 87.4549i −1.61179 2.92493i
\(895\) −0.539933 1.37573i −0.0180480 0.0459855i
\(896\) −58.6529 + 29.3581i −1.95946 + 0.980785i
\(897\) 19.4434 + 52.6028i 0.649197 + 1.75636i
\(898\) 4.15467 + 2.83261i 0.138643 + 0.0945254i
\(899\) −1.96229 + 8.59736i −0.0654461 + 0.286738i
\(900\) −2.44546 + 21.2280i −0.0815154 + 0.707600i
\(901\) 15.1121 0.503457
\(902\) 17.2529 5.32182i 0.574459 0.177197i
\(903\) −20.1897 + 50.7449i −0.671872 + 1.68868i
\(904\) −74.1123 22.8606i −2.46494 0.760333i
\(905\) 33.7859 + 10.4216i 1.12308 + 0.346424i
\(906\) 4.42887 5.33189i 0.147139 0.177140i
\(907\) −7.47250 + 19.0396i −0.248120 + 0.632200i −0.999621 0.0275323i \(-0.991235\pi\)
0.751501 + 0.659732i \(0.229330\pi\)
\(908\) 30.3018 + 132.761i 1.00560 + 4.40582i
\(909\) −10.7765 14.6781i −0.357434 0.486843i
\(910\) 45.8499 43.8651i 1.51991 1.45411i
\(911\) 44.8887 13.8463i 1.48723 0.458750i 0.558499 0.829505i \(-0.311377\pi\)
0.928731 + 0.370755i \(0.120901\pi\)
\(912\) 46.1596 + 15.2531i 1.52850 + 0.505080i
\(913\) 23.0164 39.8656i 0.761733 1.31936i
\(914\) 11.0511 + 10.2540i 0.365539 + 0.339171i
\(915\) −6.77863 + 16.3075i −0.224095 + 0.539110i
\(916\) 19.8427 50.5583i 0.655621 1.67049i
\(917\) −27.9599 3.77831i −0.923316 0.124771i
\(918\) −8.44788 16.8911i −0.278822 0.557491i
\(919\) 0.235134 1.03019i 0.00775634 0.0339827i −0.970902 0.239479i \(-0.923024\pi\)
0.978658 + 0.205496i \(0.0658807\pi\)
\(920\) 116.718 + 17.5924i 3.84808 + 0.580005i
\(921\) 18.9669 45.6291i 0.624980 1.50353i
\(922\) 11.5094 1.73476i 0.379042 0.0571313i
\(923\) 4.56055 3.10933i 0.150112 0.102345i
\(924\) −21.7946 + 93.4751i −0.716989 + 3.07511i
\(925\) 8.50756 + 5.80036i 0.279727 + 0.190715i
\(926\) −63.2299 30.4499i −2.07786 1.00065i
\(927\) 19.4697 44.3231i 0.639470 1.45576i
\(928\) −33.7771 16.2662i −1.10879 0.533964i
\(929\) 11.6369 + 1.75398i 0.381795 + 0.0575464i 0.337136 0.941456i \(-0.390542\pi\)
0.0446591 + 0.999002i \(0.485780\pi\)
\(930\) 7.82659 + 37.7459i 0.256644 + 1.23774i
\(931\) 14.5948 + 1.74561i 0.478324 + 0.0572101i
\(932\) −28.4719 + 49.3148i −0.932628 + 1.61536i
\(933\) 23.4601 + 11.8799i 0.768049 + 0.388932i
\(934\) −4.64753 62.0170i −0.152072 2.02926i
\(935\) −2.26918 9.94192i −0.0742100 0.325135i
\(936\) −57.5264 109.506i −1.88031 3.57930i
\(937\) 35.7586 17.2205i 1.16818 0.562568i 0.253737 0.967273i \(-0.418340\pi\)
0.914447 + 0.404706i \(0.132626\pi\)
\(938\) −11.6988 10.5269i −0.381980 0.343715i
\(939\) 13.6506 + 13.1823i 0.445471 + 0.430187i
\(940\) −70.7252 + 10.6601i −2.30680 + 0.347695i
\(941\) −3.39901 + 45.3566i −0.110804 + 1.47858i 0.613824 + 0.789443i \(0.289631\pi\)
−0.724628 + 0.689140i \(0.757988\pi\)
\(942\) 1.13042 + 20.5876i 0.0368310 + 0.670780i
\(943\) −11.2336 + 3.46510i −0.365815 + 0.112839i
\(944\) −32.6495 + 40.9411i −1.06265 + 1.33252i
\(945\) −25.7800 5.06935i −0.838624 0.164906i
\(946\) 79.4768 + 99.6608i 2.58401 + 3.24025i
\(947\) −1.95845 1.33525i −0.0636412 0.0433898i 0.531082 0.847321i \(-0.321786\pi\)
−0.594723 + 0.803931i \(0.702738\pi\)
\(948\) −54.8702 99.5733i −1.78210 3.23399i
\(949\) 7.01552 12.1512i 0.227733 0.394446i
\(950\) 3.81892 6.61456i 0.123902 0.214605i
\(951\) −16.0443 + 26.5520i −0.520273 + 0.861008i
\(952\) −23.4867 21.1339i −0.761208 0.684954i
\(953\) 5.06804 + 22.2045i 0.164170 + 0.719275i 0.988256 + 0.152810i \(0.0488322\pi\)
−0.824086 + 0.566465i \(0.808311\pi\)
\(954\) −53.7824 73.2544i −1.74127 2.37170i
\(955\) −7.97081 9.99507i −0.257929 0.323433i
\(956\) 0.0531558 0.135439i 0.00171918 0.00438041i
\(957\) −12.7582 + 5.83343i −0.412412 + 0.188568i
\(958\) −78.6420 24.2578i −2.54081 0.783735i
\(959\) −10.6285 + 13.7537i −0.343211 + 0.444129i
\(960\) −75.3750 1.50372i −2.43272 0.0485324i
\(961\) 6.19273 + 10.7261i 0.199766 + 0.346004i
\(962\) −95.8875 −3.09154
\(963\) 13.2409 + 4.67031i 0.426683 + 0.150499i
\(964\) 75.7617 36.4849i 2.44012 1.17510i
\(965\) −2.75318 + 7.01500i −0.0886281 + 0.225821i
\(966\) 19.5603 83.8923i 0.629341 2.69919i
\(967\) 0.887117 + 2.26034i 0.0285278 + 0.0726876i 0.944428 0.328719i \(-0.106617\pi\)
−0.915900 + 0.401406i \(0.868522\pi\)
\(968\) 30.5716 + 28.3663i 0.982609 + 0.911728i
\(969\) 0.268501 + 4.89004i 0.00862549 + 0.157091i
\(970\) 41.2251 + 28.1068i 1.32366 + 0.902454i
\(971\) 5.01025 + 6.28266i 0.160787 + 0.201620i 0.855698 0.517475i \(-0.173128\pi\)
−0.694912 + 0.719095i \(0.744557\pi\)
\(972\) −37.5896 + 73.3207i −1.20569 + 2.35176i
\(973\) 17.5900 + 29.4192i 0.563908 + 0.943138i
\(974\) −51.3707 35.0239i −1.64602 1.12224i
\(975\) −10.4313 + 2.99113i −0.334070 + 0.0957927i
\(976\) 68.1446 + 21.0198i 2.18125 + 0.672828i
\(977\) 43.3941 29.5856i 1.38830 0.946528i 0.388617 0.921399i \(-0.372953\pi\)
0.999684 0.0251286i \(-0.00799953\pi\)
\(978\) 55.0444 35.9416i 1.76013 1.14929i
\(979\) −22.2571 38.5504i −0.711340 1.23208i
\(980\) −69.5663 + 12.6704i −2.22221 + 0.404741i
\(981\) −0.0323583 + 0.280888i −0.00103312 + 0.00896807i
\(982\) −6.73432 + 8.44457i −0.214901 + 0.269477i
\(983\) 0.871104 + 11.6241i 0.0277839 + 0.370750i 0.993714 + 0.111948i \(0.0357089\pi\)
−0.965930 + 0.258803i \(0.916672\pi\)
\(984\) 23.5814 10.7822i 0.751746 0.343722i
\(985\) −27.6363 + 18.8421i −0.880566 + 0.600360i
\(986\) 0.555159 7.40809i 0.0176799 0.235922i
\(987\) 2.27373 + 32.3673i 0.0723735 + 1.03026i
\(988\) 3.85619 + 51.4573i 0.122682 + 1.63707i
\(989\) −51.7483 64.8903i −1.64550 2.06339i
\(990\) −40.1167 + 46.3819i −1.27499 + 1.47411i
\(991\) −22.1752 + 27.8068i −0.704417 + 0.883311i −0.997345 0.0728237i \(-0.976799\pi\)
0.292928 + 0.956135i \(0.405370\pi\)
\(992\) 75.6198 23.3256i 2.40093 0.740590i
\(993\) 9.41682 6.14878i 0.298834 0.195126i
\(994\) −8.47736 + 0.129543i −0.268886 + 0.00410886i
\(995\) −10.3740 + 1.56363i −0.328878 + 0.0495704i
\(996\) 40.8212 98.2044i 1.29347 3.11173i
\(997\) 3.93586 1.21405i 0.124650 0.0384494i −0.231803 0.972763i \(-0.574462\pi\)
0.356452 + 0.934313i \(0.383986\pi\)
\(998\) −28.6040 −0.905445
\(999\) 22.8539 + 32.4663i 0.723065 + 1.02719i
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.ba.a.337.53 yes 648
9.7 even 3 inner 441.2.ba.a.43.2 648
49.8 even 7 inner 441.2.ba.a.400.2 yes 648
441.106 even 21 inner 441.2.ba.a.106.53 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.ba.a.43.2 648 9.7 even 3 inner
441.2.ba.a.106.53 yes 648 441.106 even 21 inner
441.2.ba.a.337.53 yes 648 1.1 even 1 trivial
441.2.ba.a.400.2 yes 648 49.8 even 7 inner