Properties

Label 403.2.bz.a.38.10
Level $403$
Weight $2$
Character 403.38
Analytic conductor $3.218$
Analytic rank $0$
Dimension $288$
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] = [403,2,Mod(38,403)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(403, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 28]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("403.38");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.bz (of order \(30\), degree \(8\), 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: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 38.10
Character \(\chi\) \(=\) 403.38
Dual form 403.2.bz.a.350.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.52508 + 0.495529i) q^{2} +(-2.41071 + 0.512413i) q^{3} +(0.462291 - 0.335874i) q^{4} +(-0.561077 - 0.323938i) q^{5} +(3.42262 - 1.97605i) q^{6} +(-0.0399925 + 0.0898246i) q^{7} +(1.34651 - 1.85331i) q^{8} +(2.80834 - 1.25035i) q^{9} +O(q^{10})\) \(q+(-1.52508 + 0.495529i) q^{2} +(-2.41071 + 0.512413i) q^{3} +(0.462291 - 0.335874i) q^{4} +(-0.561077 - 0.323938i) q^{5} +(3.42262 - 1.97605i) q^{6} +(-0.0399925 + 0.0898246i) q^{7} +(1.34651 - 1.85331i) q^{8} +(2.80834 - 1.25035i) q^{9} +(1.01621 + 0.216002i) q^{10} +(2.75920 - 0.290004i) q^{11} +(-0.942345 + 1.04658i) q^{12} +(2.51809 - 2.58055i) q^{13} +(0.0164811 - 0.156807i) q^{14} +(1.51859 + 0.493418i) q^{15} +(-1.48833 + 4.58059i) q^{16} +(-0.687283 + 6.53906i) q^{17} +(-3.66336 + 3.29850i) q^{18} +(-2.73462 - 2.46226i) q^{19} +(-0.368183 + 0.0386976i) q^{20} +(0.0503831 - 0.237034i) q^{21} +(-4.06431 + 1.80955i) q^{22} +(-4.07926 - 2.96375i) q^{23} +(-2.29639 + 5.15777i) q^{24} +(-2.29013 - 3.96662i) q^{25} +(-2.56156 + 5.18333i) q^{26} +(-0.147765 + 0.107358i) q^{27} +(0.0116816 + 0.0549575i) q^{28} +(2.99520 + 9.21828i) q^{29} -2.56047 q^{30} +(5.21198 + 1.95839i) q^{31} -3.14166i q^{32} +(-6.50305 + 2.11297i) q^{33} +(-2.19213 - 10.3132i) q^{34} +(0.0515364 - 0.0374434i) q^{35} +(0.878309 - 1.52128i) q^{36} +(-5.69453 + 3.28774i) q^{37} +(5.39064 + 2.40007i) q^{38} +(-4.74809 + 7.51126i) q^{39} +(-1.35585 + 0.603664i) q^{40} +(-2.11786 + 9.96374i) q^{41} +(0.0406189 + 0.386463i) q^{42} +(-0.710350 + 0.788923i) q^{43} +(1.17815 - 1.06081i) q^{44} +(-1.98073 - 0.208183i) q^{45} +(7.68982 + 2.49858i) q^{46} +(-6.19178 - 2.01183i) q^{47} +(1.24077 - 11.8051i) q^{48} +(4.67745 + 5.19483i) q^{49} +(5.45821 + 4.91459i) q^{50} +(-1.69386 - 16.1160i) q^{51} +(0.297351 - 2.03873i) q^{52} +(-6.48175 + 2.88586i) q^{53} +(0.172155 - 0.236952i) q^{54} +(-1.64207 - 0.731096i) q^{55} +(0.112623 + 0.195068i) q^{56} +(7.85408 + 4.53455i) q^{57} +(-9.13585 - 12.5744i) q^{58} +(-0.632839 - 2.97727i) q^{59} +(0.867755 - 0.281951i) q^{60} +10.2495 q^{61} +(-8.91913 - 0.404014i) q^{62} +0.302263i q^{63} +(-1.41987 - 4.36991i) q^{64} +(-2.24878 + 0.632181i) q^{65} +(8.87064 - 6.44490i) q^{66} +(4.35212 + 2.51270i) q^{67} +(1.87858 + 3.25379i) q^{68} +(11.3526 + 5.05450i) q^{69} +(-0.0600430 + 0.0826421i) q^{70} +(2.27456 + 5.10875i) q^{71} +(1.46416 - 6.88833i) q^{72} +(10.9627 - 1.15222i) q^{73} +(7.05545 - 7.83587i) q^{74} +(7.55339 + 8.38889i) q^{75} +(-2.09120 - 0.219794i) q^{76} +(-0.0842979 + 0.259442i) q^{77} +(3.51917 - 13.8081i) q^{78} +(-0.0729530 + 0.694102i) q^{79} +(2.31889 - 2.08794i) q^{80} +(-5.86973 + 6.51900i) q^{81} +(-1.70742 - 16.2450i) q^{82} +(-2.68795 + 12.6458i) q^{83} +(-0.0563219 - 0.126501i) q^{84} +(2.50387 - 3.44628i) q^{85} +(0.692407 - 1.55517i) q^{86} +(-11.9441 - 20.6879i) q^{87} +(3.17782 - 5.50415i) q^{88} +(-4.47641 - 6.16125i) q^{89} +(3.12394 - 0.664013i) q^{90} +(0.131092 + 0.329389i) q^{91} -2.88125 q^{92} +(-13.5681 - 2.05043i) q^{93} +10.4399 q^{94} +(0.736711 + 2.26736i) q^{95} +(1.60983 + 7.57363i) q^{96} +(-5.47256 - 7.53233i) q^{97} +(-9.70767 - 5.60473i) q^{98} +(7.38617 - 4.26441i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288 q - 16 q^{3} + 60 q^{4} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 288 q - 16 q^{3} + 60 q^{4} + 16 q^{9} - 42 q^{10} - 58 q^{12} - 7 q^{13} - 26 q^{14} - 84 q^{16} - 30 q^{17} + 44 q^{22} + 44 q^{23} + 124 q^{25} - 21 q^{26} + 2 q^{27} - 44 q^{29} - 204 q^{30} - 34 q^{35} + 134 q^{36} + 38 q^{38} - 11 q^{39} - 84 q^{40} - 64 q^{42} + 60 q^{43} - 42 q^{48} - 50 q^{49} + 14 q^{51} - 13 q^{52} - 12 q^{53} - 92 q^{55} - 56 q^{56} + 52 q^{61} + 18 q^{62} + 174 q^{64} - 46 q^{65} - 128 q^{66} - 140 q^{68} - 226 q^{69} + 82 q^{74} + 46 q^{75} + 144 q^{77} - 95 q^{78} + 30 q^{79} + 104 q^{81} - 2 q^{82} + 30 q^{87} + 52 q^{88} - 328 q^{90} + 78 q^{91} + 152 q^{92} - 60 q^{94} - 150 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.52508 + 0.495529i −1.07840 + 0.350392i −0.793752 0.608241i \(-0.791875\pi\)
−0.284644 + 0.958633i \(0.591875\pi\)
\(3\) −2.41071 + 0.512413i −1.39183 + 0.295842i −0.842018 0.539449i \(-0.818633\pi\)
−0.549808 + 0.835291i \(0.685299\pi\)
\(4\) 0.462291 0.335874i 0.231146 0.167937i
\(5\) −0.561077 0.323938i −0.250921 0.144869i 0.369265 0.929324i \(-0.379610\pi\)
−0.620186 + 0.784455i \(0.712943\pi\)
\(6\) 3.42262 1.97605i 1.39728 0.806719i
\(7\) −0.0399925 + 0.0898246i −0.0151157 + 0.0339505i −0.920946 0.389691i \(-0.872582\pi\)
0.905830 + 0.423642i \(0.139248\pi\)
\(8\) 1.34651 1.85331i 0.476063 0.655244i
\(9\) 2.80834 1.25035i 0.936113 0.416784i
\(10\) 1.01621 + 0.216002i 0.321353 + 0.0683058i
\(11\) 2.75920 0.290004i 0.831931 0.0874395i 0.321019 0.947073i \(-0.395975\pi\)
0.510912 + 0.859633i \(0.329308\pi\)
\(12\) −0.942345 + 1.04658i −0.272032 + 0.302122i
\(13\) 2.51809 2.58055i 0.698392 0.715715i
\(14\) 0.0164811 0.156807i 0.00440476 0.0419085i
\(15\) 1.51859 + 0.493418i 0.392097 + 0.127400i
\(16\) −1.48833 + 4.58059i −0.372081 + 1.14515i
\(17\) −0.687283 + 6.53906i −0.166691 + 1.58595i 0.516872 + 0.856063i \(0.327096\pi\)
−0.683563 + 0.729892i \(0.739570\pi\)
\(18\) −3.66336 + 3.29850i −0.863462 + 0.777465i
\(19\) −2.73462 2.46226i −0.627364 0.564881i 0.292917 0.956138i \(-0.405374\pi\)
−0.920282 + 0.391256i \(0.872041\pi\)
\(20\) −0.368183 + 0.0386976i −0.0823283 + 0.00865305i
\(21\) 0.0503831 0.237034i 0.0109945 0.0517251i
\(22\) −4.06431 + 1.80955i −0.866513 + 0.385796i
\(23\) −4.07926 2.96375i −0.850584 0.617985i 0.0747233 0.997204i \(-0.476193\pi\)
−0.925307 + 0.379219i \(0.876193\pi\)
\(24\) −2.29639 + 5.15777i −0.468748 + 1.05283i
\(25\) −2.29013 3.96662i −0.458026 0.793324i
\(26\) −2.56156 + 5.18333i −0.502362 + 1.01654i
\(27\) −0.147765 + 0.107358i −0.0284375 + 0.0206610i
\(28\) 0.0116816 + 0.0549575i 0.00220761 + 0.0103860i
\(29\) 2.99520 + 9.21828i 0.556195 + 1.71179i 0.692767 + 0.721161i \(0.256391\pi\)
−0.136573 + 0.990630i \(0.543609\pi\)
\(30\) −2.56047 −0.467476
\(31\) 5.21198 + 1.95839i 0.936099 + 0.351737i
\(32\) 3.14166i 0.555371i
\(33\) −6.50305 + 2.11297i −1.13204 + 0.367821i
\(34\) −2.19213 10.3132i −0.375947 1.76869i
\(35\) 0.0515364 0.0374434i 0.00871125 0.00632909i
\(36\) 0.878309 1.52128i 0.146385 0.253546i
\(37\) −5.69453 + 3.28774i −0.936175 + 0.540501i −0.888759 0.458375i \(-0.848432\pi\)
−0.0474155 + 0.998875i \(0.515098\pi\)
\(38\) 5.39064 + 2.40007i 0.874477 + 0.389342i
\(39\) −4.74809 + 7.51126i −0.760303 + 1.20276i
\(40\) −1.35585 + 0.603664i −0.214379 + 0.0954477i
\(41\) −2.11786 + 9.96374i −0.330754 + 1.55607i 0.427439 + 0.904044i \(0.359416\pi\)
−0.758193 + 0.652030i \(0.773918\pi\)
\(42\) 0.0406189 + 0.386463i 0.00626763 + 0.0596325i
\(43\) −0.710350 + 0.788923i −0.108327 + 0.120310i −0.794870 0.606780i \(-0.792461\pi\)
0.686543 + 0.727090i \(0.259128\pi\)
\(44\) 1.17815 1.06081i 0.177613 0.159923i
\(45\) −1.98073 0.208183i −0.295270 0.0310341i
\(46\) 7.68982 + 2.49858i 1.13380 + 0.368395i
\(47\) −6.19178 2.01183i −0.903163 0.293456i −0.179621 0.983736i \(-0.557487\pi\)
−0.723542 + 0.690280i \(0.757487\pi\)
\(48\) 1.24077 11.8051i 0.179090 1.70393i
\(49\) 4.67745 + 5.19483i 0.668206 + 0.742118i
\(50\) 5.45821 + 4.91459i 0.771907 + 0.695028i
\(51\) −1.69386 16.1160i −0.237187 2.25669i
\(52\) 0.297351 2.03873i 0.0412352 0.282720i
\(53\) −6.48175 + 2.88586i −0.890337 + 0.396404i −0.800346 0.599539i \(-0.795351\pi\)
−0.0899917 + 0.995943i \(0.528684\pi\)
\(54\) 0.172155 0.236952i 0.0234274 0.0322450i
\(55\) −1.64207 0.731096i −0.221416 0.0985810i
\(56\) 0.112623 + 0.195068i 0.0150498 + 0.0260671i
\(57\) 7.85408 + 4.53455i 1.04030 + 0.600616i
\(58\) −9.13585 12.5744i −1.19960 1.65110i
\(59\) −0.632839 2.97727i −0.0823886 0.387608i 0.917562 0.397594i \(-0.130155\pi\)
−0.999950 + 0.00998586i \(0.996821\pi\)
\(60\) 0.867755 0.281951i 0.112027 0.0363997i
\(61\) 10.2495 1.31231 0.656154 0.754627i \(-0.272182\pi\)
0.656154 + 0.754627i \(0.272182\pi\)
\(62\) −8.91913 0.404014i −1.13273 0.0513098i
\(63\) 0.302263i 0.0380815i
\(64\) −1.41987 4.36991i −0.177484 0.546238i
\(65\) −2.24878 + 0.632181i −0.278927 + 0.0784124i
\(66\) 8.87064 6.44490i 1.09190 0.793312i
\(67\) 4.35212 + 2.51270i 0.531696 + 0.306975i 0.741707 0.670724i \(-0.234017\pi\)
−0.210011 + 0.977699i \(0.567350\pi\)
\(68\) 1.87858 + 3.25379i 0.227811 + 0.394580i
\(69\) 11.3526 + 5.05450i 1.36669 + 0.608490i
\(70\) −0.0600430 + 0.0826421i −0.00717651 + 0.00987762i
\(71\) 2.27456 + 5.10875i 0.269941 + 0.606297i 0.996751 0.0805410i \(-0.0256648\pi\)
−0.726810 + 0.686838i \(0.758998\pi\)
\(72\) 1.46416 6.88833i 0.172553 0.811798i
\(73\) 10.9627 1.15222i 1.28308 0.134858i 0.561670 0.827362i \(-0.310159\pi\)
0.721414 + 0.692504i \(0.243492\pi\)
\(74\) 7.05545 7.83587i 0.820179 0.910902i
\(75\) 7.55339 + 8.38889i 0.872191 + 0.968666i
\(76\) −2.09120 0.219794i −0.239877 0.0252121i
\(77\) −0.0842979 + 0.259442i −0.00960664 + 0.0295662i
\(78\) 3.51917 13.8081i 0.398468 1.56346i
\(79\) −0.0729530 + 0.694102i −0.00820786 + 0.0780925i −0.997859 0.0654016i \(-0.979167\pi\)
0.989651 + 0.143494i \(0.0458338\pi\)
\(80\) 2.31889 2.08794i 0.259260 0.233439i
\(81\) −5.86973 + 6.51900i −0.652193 + 0.724333i
\(82\) −1.70742 16.2450i −0.188552 1.79396i
\(83\) −2.68795 + 12.6458i −0.295041 + 1.38806i 0.541753 + 0.840538i \(0.317761\pi\)
−0.836793 + 0.547519i \(0.815572\pi\)
\(84\) −0.0563219 0.126501i −0.00614523 0.0138024i
\(85\) 2.50387 3.44628i 0.271582 0.373801i
\(86\) 0.692407 1.55517i 0.0746642 0.167698i
\(87\) −11.9441 20.6879i −1.28055 2.21797i
\(88\) 3.17782 5.50415i 0.338757 0.586745i
\(89\) −4.47641 6.16125i −0.474499 0.653092i 0.502937 0.864323i \(-0.332253\pi\)
−0.977436 + 0.211231i \(0.932253\pi\)
\(90\) 3.12394 0.664013i 0.329292 0.0699931i
\(91\) 0.131092 + 0.329389i 0.0137422 + 0.0345293i
\(92\) −2.88125 −0.300391
\(93\) −13.5681 2.05043i −1.40695 0.212619i
\(94\) 10.4399 1.07679
\(95\) 0.736711 + 2.26736i 0.0755850 + 0.232627i
\(96\) 1.60983 + 7.57363i 0.164302 + 0.772981i
\(97\) −5.47256 7.53233i −0.555654 0.764793i 0.435112 0.900377i \(-0.356709\pi\)
−0.990766 + 0.135584i \(0.956709\pi\)
\(98\) −9.70767 5.60473i −0.980623 0.566163i
\(99\) 7.38617 4.26441i 0.742338 0.428589i
\(100\) −2.39099 1.06454i −0.239099 0.106454i
\(101\) 11.7436 + 8.53222i 1.16853 + 0.848987i 0.990832 0.135097i \(-0.0431348\pi\)
0.177699 + 0.984085i \(0.443135\pi\)
\(102\) 10.5692 + 23.7388i 1.04651 + 2.35049i
\(103\) −0.251692 0.0534987i −0.0247999 0.00527139i 0.195495 0.980705i \(-0.437369\pi\)
−0.220295 + 0.975433i \(0.570702\pi\)
\(104\) −1.39192 8.14153i −0.136489 0.798343i
\(105\) −0.105053 + 0.116673i −0.0102521 + 0.0113861i
\(106\) 8.45518 7.61307i 0.821239 0.739447i
\(107\) −0.525090 + 4.99590i −0.0507624 + 0.482972i 0.939377 + 0.342886i \(0.111404\pi\)
−0.990139 + 0.140086i \(0.955262\pi\)
\(108\) −0.0322519 + 0.0992612i −0.00310344 + 0.00955141i
\(109\) −0.205798 0.0668677i −0.0197118 0.00640477i 0.299144 0.954208i \(-0.403299\pi\)
−0.318856 + 0.947803i \(0.603299\pi\)
\(110\) 2.86657 + 0.301288i 0.273317 + 0.0287267i
\(111\) 12.0432 10.8437i 1.14309 1.02924i
\(112\) −0.351928 0.316878i −0.0332541 0.0299421i
\(113\) 1.85356 + 17.6354i 0.174368 + 1.65900i 0.635822 + 0.771835i \(0.280661\pi\)
−0.461455 + 0.887164i \(0.652672\pi\)
\(114\) −14.2251 3.02364i −1.33230 0.283190i
\(115\) 1.32870 + 2.98432i 0.123902 + 0.278289i
\(116\) 4.48083 + 3.25552i 0.416035 + 0.302267i
\(117\) 3.84505 10.3956i 0.355475 0.961069i
\(118\) 2.44046 + 4.22699i 0.224662 + 0.389126i
\(119\) −0.559882 0.323248i −0.0513243 0.0296321i
\(120\) 2.95925 2.15002i 0.270141 0.196269i
\(121\) −3.23052 + 0.686668i −0.293684 + 0.0624244i
\(122\) −15.6313 + 5.07890i −1.41519 + 0.459822i
\(123\) 25.1049i 2.26364i
\(124\) 3.06722 0.845224i 0.275445 0.0759033i
\(125\) 6.20682i 0.555154i
\(126\) −0.149780 0.460975i −0.0133435 0.0410669i
\(127\) −15.0495 + 3.19886i −1.33542 + 0.283853i −0.819646 0.572870i \(-0.805830\pi\)
−0.515777 + 0.856723i \(0.672497\pi\)
\(128\) 8.02407 + 11.0442i 0.709234 + 0.976177i
\(129\) 1.30820 2.26586i 0.115180 0.199498i
\(130\) 3.11631 2.07846i 0.273318 0.182293i
\(131\) 6.96655 + 3.10171i 0.608670 + 0.270997i 0.687838 0.725864i \(-0.258560\pi\)
−0.0791682 + 0.996861i \(0.525226\pi\)
\(132\) −2.29661 + 3.16101i −0.199894 + 0.275131i
\(133\) 0.330536 0.147164i 0.0286611 0.0127607i
\(134\) −7.88245 1.67547i −0.680940 0.144738i
\(135\) 0.117685 0.0123692i 0.0101287 0.00106457i
\(136\) 11.1935 + 10.0786i 0.959832 + 0.864236i
\(137\) 8.09412 7.28798i 0.691528 0.622654i −0.246529 0.969135i \(-0.579290\pi\)
0.938057 + 0.346481i \(0.112624\pi\)
\(138\) −19.8183 2.08298i −1.68704 0.177315i
\(139\) −5.52626 + 17.0081i −0.468731 + 1.44261i 0.385498 + 0.922709i \(0.374030\pi\)
−0.854229 + 0.519897i \(0.825970\pi\)
\(140\) 0.0112486 0.0346195i 0.000950677 0.00292588i
\(141\) 15.9575 + 1.67720i 1.34386 + 0.141246i
\(142\) −6.00043 6.66415i −0.503545 0.559243i
\(143\) 6.19955 7.85051i 0.518433 0.656493i
\(144\) 1.54764 + 14.7248i 0.128970 + 1.22707i
\(145\) 1.30561 6.14242i 0.108425 0.510100i
\(146\) −16.1480 + 7.18956i −1.33642 + 0.595012i
\(147\) −13.9379 10.1265i −1.14958 0.835217i
\(148\) −1.52826 + 3.43254i −0.125622 + 0.282153i
\(149\) −6.20616 + 3.58313i −0.508429 + 0.293541i −0.732187 0.681103i \(-0.761501\pi\)
0.223759 + 0.974645i \(0.428167\pi\)
\(150\) −15.6765 9.05082i −1.27998 0.738996i
\(151\) −3.57623 4.92225i −0.291029 0.400567i 0.638319 0.769772i \(-0.279630\pi\)
−0.929348 + 0.369205i \(0.879630\pi\)
\(152\) −8.24552 + 1.75264i −0.668800 + 0.142158i
\(153\) 6.24601 + 19.2232i 0.504960 + 1.55411i
\(154\) 0.437443i 0.0352501i
\(155\) −2.28992 2.78716i −0.183931 0.223870i
\(156\) 0.327841 + 5.06715i 0.0262483 + 0.405697i
\(157\) 3.51903 + 10.8305i 0.280850 + 0.864366i 0.987612 + 0.156915i \(0.0501549\pi\)
−0.706763 + 0.707451i \(0.749845\pi\)
\(158\) −0.232688 1.09471i −0.0185117 0.0870906i
\(159\) 14.1469 10.2783i 1.12192 0.815124i
\(160\) −1.01770 + 1.76271i −0.0804563 + 0.139354i
\(161\) 0.429357 0.247890i 0.0338381 0.0195364i
\(162\) 5.72147 12.8506i 0.449521 1.00964i
\(163\) −7.03626 + 9.68457i −0.551122 + 0.758554i −0.990164 0.139912i \(-0.955318\pi\)
0.439042 + 0.898467i \(0.355318\pi\)
\(164\) 2.36749 + 5.31748i 0.184870 + 0.415225i
\(165\) 4.33318 + 0.921046i 0.337338 + 0.0717033i
\(166\) −2.16702 20.6178i −0.168194 1.60025i
\(167\) −12.4045 11.1691i −0.959889 0.864288i 0.0309249 0.999522i \(-0.490155\pi\)
−0.990814 + 0.135234i \(0.956821\pi\)
\(168\) −0.371456 0.412544i −0.0286585 0.0318285i
\(169\) −0.318450 12.9961i −0.0244961 0.999700i
\(170\) −2.11087 + 6.49659i −0.161896 + 0.498266i
\(171\) −10.7584 3.49563i −0.822718 0.267317i
\(172\) −0.0634094 + 0.603300i −0.00483492 + 0.0460012i
\(173\) 3.79351 + 4.21312i 0.288415 + 0.320317i 0.869889 0.493248i \(-0.164190\pi\)
−0.581474 + 0.813565i \(0.697524\pi\)
\(174\) 28.4672 + 25.6320i 2.15809 + 1.94316i
\(175\) 0.447888 0.0470749i 0.0338571 0.00355853i
\(176\) −2.77820 + 13.0704i −0.209415 + 0.985220i
\(177\) 3.05119 + 6.85308i 0.229341 + 0.515109i
\(178\) 9.87998 + 7.17822i 0.740536 + 0.538031i
\(179\) 1.32726 + 0.590934i 0.0992041 + 0.0441685i 0.455739 0.890114i \(-0.349375\pi\)
−0.356535 + 0.934282i \(0.616042\pi\)
\(180\) −0.985597 + 0.569035i −0.0734621 + 0.0424134i
\(181\) 9.41873 16.3137i 0.700089 1.21259i −0.268346 0.963323i \(-0.586477\pi\)
0.968435 0.249267i \(-0.0801896\pi\)
\(182\) −0.363148 0.437385i −0.0269183 0.0324211i
\(183\) −24.7085 + 5.25196i −1.82651 + 0.388236i
\(184\) −10.9855 + 3.56941i −0.809862 + 0.263140i
\(185\) 4.26009 0.313208
\(186\) 21.7085 3.59632i 1.59174 0.263695i
\(187\) 18.2419i 1.33398i
\(188\) −3.53812 + 1.14961i −0.258044 + 0.0838437i
\(189\) −0.00373387 0.0175665i −0.000271599 0.00127777i
\(190\) −2.24709 3.09285i −0.163021 0.224379i
\(191\) −7.22281 + 12.5103i −0.522624 + 0.905212i 0.477029 + 0.878888i \(0.341714\pi\)
−0.999653 + 0.0263246i \(0.991620\pi\)
\(192\) 5.66210 + 9.80704i 0.408627 + 0.707762i
\(193\) −8.51419 + 19.1232i −0.612865 + 1.37652i 0.294288 + 0.955717i \(0.404917\pi\)
−0.907153 + 0.420801i \(0.861749\pi\)
\(194\) 12.0786 + 8.77561i 0.867192 + 0.630052i
\(195\) 5.09722 2.67631i 0.365020 0.191655i
\(196\) 3.90715 + 0.830490i 0.279082 + 0.0593207i
\(197\) 10.0646 1.05783i 0.717070 0.0753671i 0.261035 0.965329i \(-0.415936\pi\)
0.456034 + 0.889962i \(0.349269\pi\)
\(198\) −9.15138 + 10.1636i −0.650360 + 0.722298i
\(199\) −3.41647 3.79437i −0.242187 0.268976i 0.609781 0.792570i \(-0.291257\pi\)
−0.851968 + 0.523594i \(0.824591\pi\)
\(200\) −10.4351 1.09677i −0.737870 0.0775532i
\(201\) −11.7793 3.82731i −0.830844 0.269958i
\(202\) −22.1379 7.19304i −1.55762 0.506100i
\(203\) −0.947813 0.0996192i −0.0665235 0.00699190i
\(204\) −6.19599 6.88135i −0.433806 0.481791i
\(205\) 4.41591 4.90437i 0.308421 0.342536i
\(206\) 0.410361 0.0431306i 0.0285912 0.00300505i
\(207\) −15.1617 3.22271i −1.05381 0.223994i
\(208\) 8.07270 + 15.3750i 0.559741 + 1.06607i
\(209\) −8.25943 6.00083i −0.571317 0.415086i
\(210\) 0.102400 0.229993i 0.00706624 0.0158710i
\(211\) −2.35151 4.07293i −0.161884 0.280392i 0.773660 0.633601i \(-0.218424\pi\)
−0.935544 + 0.353209i \(0.885091\pi\)
\(212\) −2.02717 + 3.51116i −0.139227 + 0.241148i
\(213\) −8.10111 11.1502i −0.555079 0.764001i
\(214\) −1.67481 7.87935i −0.114487 0.538621i
\(215\) 0.654123 0.212537i 0.0446108 0.0144949i
\(216\) 0.418413i 0.0284694i
\(217\) −0.384351 + 0.389843i −0.0260915 + 0.0264643i
\(218\) 0.346993 0.0235013
\(219\) −25.8375 + 8.39510i −1.74593 + 0.567288i
\(220\) −1.00467 + 0.213549i −0.0677348 + 0.0143975i
\(221\) 15.1437 + 18.2395i 1.01868 + 1.22692i
\(222\) −12.9935 + 22.5053i −0.872065 + 1.51046i
\(223\) 17.1080 9.87730i 1.14564 0.661433i 0.197816 0.980239i \(-0.436615\pi\)
0.947820 + 0.318806i \(0.103282\pi\)
\(224\) 0.282198 + 0.125643i 0.0188551 + 0.00839485i
\(225\) −11.3911 8.27614i −0.759409 0.551743i
\(226\) −11.5657 25.9769i −0.769337 1.72796i
\(227\) 5.33256 25.0877i 0.353935 1.66513i −0.336459 0.941698i \(-0.609230\pi\)
0.690394 0.723433i \(-0.257437\pi\)
\(228\) 5.15391 0.541698i 0.341326 0.0358748i
\(229\) 6.14288 + 5.53107i 0.405933 + 0.365504i 0.846657 0.532139i \(-0.178612\pi\)
−0.440724 + 0.897643i \(0.645278\pi\)
\(230\) −3.50520 3.89292i −0.231126 0.256691i
\(231\) 0.0702765 0.668637i 0.00462386 0.0439931i
\(232\) 21.1174 + 6.86145i 1.38642 + 0.450477i
\(233\) −1.20234 + 3.70041i −0.0787676 + 0.242422i −0.982685 0.185286i \(-0.940679\pi\)
0.903917 + 0.427708i \(0.140679\pi\)
\(234\) −0.712722 + 17.7594i −0.0465921 + 1.16097i
\(235\) 2.82235 + 3.13454i 0.184110 + 0.204475i
\(236\) −1.29254 1.16381i −0.0841375 0.0757577i
\(237\) −0.179798 1.71066i −0.0116791 0.111119i
\(238\) 1.01404 + 0.215542i 0.0657307 + 0.0139715i
\(239\) 4.06721 + 9.13511i 0.263086 + 0.590901i 0.995993 0.0894274i \(-0.0285037\pi\)
−0.732907 + 0.680329i \(0.761837\pi\)
\(240\) −4.52030 + 6.22166i −0.291784 + 0.401606i
\(241\) −9.51984 + 21.3819i −0.613227 + 1.37733i 0.293641 + 0.955916i \(0.405133\pi\)
−0.906868 + 0.421415i \(0.861534\pi\)
\(242\) 4.58654 2.64804i 0.294834 0.170223i
\(243\) 11.0838 19.1977i 0.711026 1.23153i
\(244\) 4.73823 3.44253i 0.303334 0.220385i
\(245\) −0.941604 4.42990i −0.0601569 0.283016i
\(246\) 12.4402 + 38.2871i 0.793160 + 2.44110i
\(247\) −13.2400 + 0.856617i −0.842441 + 0.0545052i
\(248\) 10.6475 7.02243i 0.676115 0.445924i
\(249\) 31.8627i 2.01922i
\(250\) −3.07566 9.46590i −0.194522 0.598676i
\(251\) 29.7524 6.32408i 1.87796 0.399172i 0.880732 0.473614i \(-0.157051\pi\)
0.997225 + 0.0744422i \(0.0237176\pi\)
\(252\) 0.101522 + 0.139733i 0.00639530 + 0.00880237i
\(253\) −12.1150 6.99460i −0.761663 0.439747i
\(254\) 21.3665 12.3360i 1.34066 0.774028i
\(255\) −4.27019 + 9.59100i −0.267410 + 0.600612i
\(256\) −10.2755 7.46562i −0.642222 0.466601i
\(257\) −10.4614 + 4.65773i −0.652566 + 0.290541i −0.706193 0.708020i \(-0.749589\pi\)
0.0536263 + 0.998561i \(0.482922\pi\)
\(258\) −0.872305 + 4.10387i −0.0543073 + 0.255496i
\(259\) −0.0675813 0.642993i −0.00419930 0.0399537i
\(260\) −0.827257 + 1.04756i −0.0513043 + 0.0649668i
\(261\) 19.9376 + 22.1430i 1.23411 + 1.37062i
\(262\) −12.1615 1.27823i −0.751343 0.0789693i
\(263\) 1.45721 4.48482i 0.0898552 0.276546i −0.896024 0.444006i \(-0.853557\pi\)
0.985879 + 0.167461i \(0.0535567\pi\)
\(264\) −4.84043 + 14.8973i −0.297908 + 0.916865i
\(265\) 4.57160 + 0.480495i 0.280831 + 0.0295166i
\(266\) −0.431170 + 0.388227i −0.0264367 + 0.0238037i
\(267\) 13.9485 + 12.5592i 0.853632 + 0.768614i
\(268\) 2.85590 0.300167i 0.174452 0.0183356i
\(269\) 10.7575 + 2.28659i 0.655899 + 0.139416i 0.523827 0.851824i \(-0.324504\pi\)
0.132072 + 0.991240i \(0.457837\pi\)
\(270\) −0.173350 + 0.0771804i −0.0105497 + 0.00469705i
\(271\) 7.80801 10.7468i 0.474303 0.652822i −0.503095 0.864231i \(-0.667805\pi\)
0.977398 + 0.211409i \(0.0678053\pi\)
\(272\) −28.9299 12.8804i −1.75413 0.780989i
\(273\) −0.484808 0.726889i −0.0293419 0.0439933i
\(274\) −8.73279 + 15.1256i −0.527567 + 0.913773i
\(275\) −7.46927 10.2806i −0.450414 0.619941i
\(276\) 6.94587 1.47639i 0.418092 0.0888683i
\(277\) 0.237230 + 0.730120i 0.0142538 + 0.0438687i 0.957930 0.287000i \(-0.0926581\pi\)
−0.943677 + 0.330869i \(0.892658\pi\)
\(278\) 28.6771i 1.71994i
\(279\) 17.0857 1.01700i 1.02289 0.0608861i
\(280\) 0.145931i 0.00872104i
\(281\) 1.12453 0.365383i 0.0670841 0.0217969i −0.275283 0.961363i \(-0.588771\pi\)
0.342367 + 0.939566i \(0.388771\pi\)
\(282\) −25.1676 + 5.34953i −1.49871 + 0.318560i
\(283\) 8.82607 6.41251i 0.524655 0.381184i −0.293700 0.955898i \(-0.594887\pi\)
0.818355 + 0.574714i \(0.194887\pi\)
\(284\) 2.76741 + 1.59776i 0.164215 + 0.0948098i
\(285\) −2.93783 5.08847i −0.174022 0.301415i
\(286\) −5.56467 + 15.0447i −0.329046 + 0.889614i
\(287\) −0.810290 0.588710i −0.0478299 0.0347505i
\(288\) −3.92818 8.82283i −0.231470 0.519890i
\(289\) −25.6584 5.45386i −1.50932 0.320815i
\(290\) 1.05258 + 10.0147i 0.0618098 + 0.588081i
\(291\) 17.0524 + 15.3541i 0.999632 + 0.900073i
\(292\) 4.68094 4.21474i 0.273932 0.246649i
\(293\) 17.8396 + 1.87502i 1.04220 + 0.109540i 0.610131 0.792301i \(-0.291117\pi\)
0.432069 + 0.901840i \(0.357784\pi\)
\(294\) 26.2744 + 8.53706i 1.53235 + 0.497891i
\(295\) −0.609380 + 1.87548i −0.0354795 + 0.109195i
\(296\) −1.57453 + 14.9807i −0.0915179 + 0.870735i
\(297\) −0.376581 + 0.339075i −0.0218514 + 0.0196751i
\(298\) 7.68936 8.53990i 0.445433 0.494703i
\(299\) −17.9200 + 3.06372i −1.03634 + 0.177179i
\(300\) 6.30948 + 1.34112i 0.364278 + 0.0774297i
\(301\) −0.0424561 0.0953579i −0.00244713 0.00549634i
\(302\) 7.89316 + 5.73471i 0.454200 + 0.329996i
\(303\) −32.6825 14.5512i −1.87756 0.835943i
\(304\) 15.3486 8.86153i 0.880304 0.508244i
\(305\) −5.75073 3.32019i −0.329286 0.190113i
\(306\) −19.0513 26.2219i −1.08909 1.49901i
\(307\) 1.00645 + 4.73499i 0.0574413 + 0.270240i 0.997491 0.0707983i \(-0.0225547\pi\)
−0.940049 + 0.341039i \(0.889221\pi\)
\(308\) 0.0481698 + 0.148251i 0.00274473 + 0.00844741i
\(309\) 0.634170 0.0360767
\(310\) 4.87344 + 3.11593i 0.276793 + 0.176973i
\(311\) −16.9709 −0.962333 −0.481167 0.876629i \(-0.659787\pi\)
−0.481167 + 0.876629i \(0.659787\pi\)
\(312\) 7.52736 + 18.9137i 0.426153 + 1.07077i
\(313\) −1.76939 + 0.376095i −0.100012 + 0.0212581i −0.257646 0.966239i \(-0.582947\pi\)
0.157634 + 0.987498i \(0.449613\pi\)
\(314\) −10.7336 14.7736i −0.605734 0.833721i
\(315\) 0.0979143 0.169593i 0.00551685 0.00955546i
\(316\) 0.199405 + 0.345380i 0.0112174 + 0.0194291i
\(317\) 10.2158 22.9451i 0.573776 1.28872i −0.360695 0.932684i \(-0.617460\pi\)
0.934471 0.356039i \(-0.115873\pi\)
\(318\) −16.4820 + 22.6855i −0.924263 + 1.27214i
\(319\) 10.9377 + 24.5665i 0.612394 + 1.37546i
\(320\) −0.618923 + 2.91180i −0.0345988 + 0.162775i
\(321\) −1.29412 12.3127i −0.0722308 0.687230i
\(322\) −0.531969 + 0.590811i −0.0296455 + 0.0329246i
\(323\) 17.9803 16.1896i 1.00045 0.900811i
\(324\) −0.523962 + 4.98517i −0.0291090 + 0.276954i
\(325\) −16.0028 4.07852i −0.887675 0.226235i
\(326\) 5.93188 18.2564i 0.328536 1.01113i
\(327\) 0.530383 + 0.0557455i 0.0293303 + 0.00308273i
\(328\) 15.6142 + 17.3413i 0.862149 + 0.957513i
\(329\) 0.428336 0.475716i 0.0236149 0.0262271i
\(330\) −7.06486 + 0.742547i −0.388908 + 0.0408759i
\(331\) 3.46514 16.3022i 0.190461 0.896050i −0.774279 0.632845i \(-0.781887\pi\)
0.964740 0.263205i \(-0.0847796\pi\)
\(332\) 3.00478 + 6.74885i 0.164909 + 0.370391i
\(333\) −11.8813 + 16.3532i −0.651093 + 0.896152i
\(334\) 24.4525 + 10.8869i 1.33798 + 0.595707i
\(335\) −1.62792 2.81963i −0.0889425 0.154053i
\(336\) 1.01077 + 0.583569i 0.0551420 + 0.0318363i
\(337\) 16.0771 11.6807i 0.875778 0.636290i −0.0563532 0.998411i \(-0.517947\pi\)
0.932131 + 0.362121i \(0.117947\pi\)
\(338\) 6.92561 + 19.6623i 0.376703 + 1.06949i
\(339\) −13.5050 41.5641i −0.733491 2.25745i
\(340\) 2.43417i 0.132011i
\(341\) 14.9489 + 3.89210i 0.809526 + 0.210769i
\(342\) 18.1397 0.980881
\(343\) −1.30828 + 0.425085i −0.0706403 + 0.0229524i
\(344\) 0.505627 + 2.37879i 0.0272616 + 0.128256i
\(345\) −4.73233 6.51349i −0.254780 0.350675i
\(346\) −7.87313 4.54556i −0.423262 0.244371i
\(347\) 8.80059 + 15.2431i 0.472440 + 0.818290i 0.999503 0.0315361i \(-0.0100399\pi\)
−0.527062 + 0.849827i \(0.676707\pi\)
\(348\) −12.4702 5.55208i −0.668472 0.297623i
\(349\) −9.14237 + 12.5834i −0.489380 + 0.673574i −0.980274 0.197646i \(-0.936670\pi\)
0.490893 + 0.871220i \(0.336670\pi\)
\(350\) −0.659739 + 0.293735i −0.0352645 + 0.0157008i
\(351\) −0.0950445 + 0.651652i −0.00507310 + 0.0347826i
\(352\) −0.911093 8.66847i −0.0485614 0.462031i
\(353\) −18.5293 16.6839i −0.986217 0.887994i 0.00749332 0.999972i \(-0.497615\pi\)
−0.993711 + 0.111978i \(0.964281\pi\)
\(354\) −8.04921 8.93955i −0.427811 0.475132i
\(355\) 0.378714 3.60322i 0.0201000 0.191239i
\(356\) −4.13881 1.34478i −0.219357 0.0712733i
\(357\) 1.51535 + 0.492368i 0.0802009 + 0.0260589i
\(358\) −2.31701 0.243527i −0.122458 0.0128708i
\(359\) −11.0601 + 9.95856i −0.583730 + 0.525593i −0.907230 0.420635i \(-0.861807\pi\)
0.323500 + 0.946228i \(0.395140\pi\)
\(360\) −3.05290 + 3.39059i −0.160902 + 0.178700i
\(361\) −0.570635 5.42923i −0.0300334 0.285749i
\(362\) −6.28041 + 29.5470i −0.330091 + 1.55296i
\(363\) 7.43600 3.31072i 0.390289 0.173768i
\(364\) 0.171236 + 0.108243i 0.00897520 + 0.00567348i
\(365\) −6.52415 2.90474i −0.341490 0.152041i
\(366\) 35.0800 20.2534i 1.83366 1.05866i
\(367\) 7.36845 12.7625i 0.384630 0.666199i −0.607088 0.794635i \(-0.707662\pi\)
0.991718 + 0.128436i \(0.0409957\pi\)
\(368\) 19.6470 14.2744i 1.02417 0.744104i
\(369\) 6.51053 + 30.6296i 0.338924 + 1.59451i
\(370\) −6.49698 + 2.11100i −0.337762 + 0.109746i
\(371\) 0.697634i 0.0362193i
\(372\) −6.96109 + 3.60928i −0.360916 + 0.187132i
\(373\) −3.05831 −0.158353 −0.0791766 0.996861i \(-0.525229\pi\)
−0.0791766 + 0.996861i \(0.525229\pi\)
\(374\) −9.03940 27.8204i −0.467416 1.43856i
\(375\) −3.18045 14.9629i −0.164238 0.772679i
\(376\) −12.0658 + 8.76633i −0.622247 + 0.452089i
\(377\) 31.3304 + 15.4832i 1.61360 + 0.797425i
\(378\) 0.0143992 + 0.0249401i 0.000740613 + 0.00128278i
\(379\) −1.82472 + 4.09839i −0.0937295 + 0.210520i −0.954326 0.298768i \(-0.903424\pi\)
0.860596 + 0.509288i \(0.170091\pi\)
\(380\) 1.10212 + 0.800740i 0.0565378 + 0.0410771i
\(381\) 34.6408 15.4231i 1.77470 0.790148i
\(382\) 4.81617 22.6583i 0.246417 1.15930i
\(383\) −6.76490 + 0.711019i −0.345670 + 0.0363314i −0.275773 0.961223i \(-0.588934\pi\)
−0.0698972 + 0.997554i \(0.522267\pi\)
\(384\) −25.0029 22.5127i −1.27593 1.14885i
\(385\) 0.131341 0.118260i 0.00669375 0.00602708i
\(386\) 3.50874 33.3835i 0.178590 1.69917i
\(387\) −1.00847 + 3.10375i −0.0512634 + 0.157773i
\(388\) −5.05983 1.64404i −0.256874 0.0834634i
\(389\) −0.168184 + 1.60017i −0.00852727 + 0.0811316i −0.997958 0.0638757i \(-0.979654\pi\)
0.989431 + 0.145007i \(0.0463206\pi\)
\(390\) −6.44749 + 6.60742i −0.326482 + 0.334579i
\(391\) 22.1837 24.6375i 1.12188 1.24597i
\(392\) 15.9258 1.67387i 0.804377 0.0845434i
\(393\) −18.3837 3.90758i −0.927336 0.197111i
\(394\) −14.8251 + 6.60055i −0.746877 + 0.332531i
\(395\) 0.265778 0.365812i 0.0133727 0.0184060i
\(396\) 1.98226 4.45222i 0.0996122 0.223733i
\(397\) 15.6958 9.06199i 0.787751 0.454808i −0.0514190 0.998677i \(-0.516374\pi\)
0.839170 + 0.543869i \(0.183041\pi\)
\(398\) 7.09061 + 4.09376i 0.355420 + 0.205202i
\(399\) −0.721418 + 0.524141i −0.0361161 + 0.0262399i
\(400\) 21.5779 4.58653i 1.07890 0.229327i
\(401\) 12.0334 3.90988i 0.600918 0.195250i 0.00726796 0.999974i \(-0.497687\pi\)
0.593650 + 0.804724i \(0.297687\pi\)
\(402\) 19.8609 0.990570
\(403\) 18.1779 8.51836i 0.905508 0.424330i
\(404\) 8.29471 0.412677
\(405\) 5.40512 1.75623i 0.268583 0.0872678i
\(406\) 1.49486 0.317742i 0.0741885 0.0157693i
\(407\) −14.7589 + 10.7230i −0.731572 + 0.531518i
\(408\) −32.1487 18.5610i −1.59160 0.918909i
\(409\) 9.24595 5.33815i 0.457183 0.263955i −0.253676 0.967289i \(-0.581640\pi\)
0.710859 + 0.703335i \(0.248306\pi\)
\(410\) −4.30437 + 9.66777i −0.212578 + 0.477457i
\(411\) −15.7782 + 21.7168i −0.778279 + 1.07121i
\(412\) −0.134324 + 0.0598048i −0.00661765 + 0.00294637i
\(413\) 0.292741 + 0.0622241i 0.0144049 + 0.00306185i
\(414\) 24.7197 2.59815i 1.21491 0.127692i
\(415\) 5.60460 6.22454i 0.275119 0.305551i
\(416\) −8.10719 7.91097i −0.397488 0.387867i
\(417\) 4.60707 43.8333i 0.225609 2.14653i
\(418\) 15.5699 + 5.05897i 0.761549 + 0.247442i
\(419\) −6.12023 + 18.8361i −0.298993 + 0.920206i 0.682858 + 0.730551i \(0.260737\pi\)
−0.981851 + 0.189654i \(0.939263\pi\)
\(420\) −0.00937757 + 0.0892217i −0.000457579 + 0.00435357i
\(421\) −15.8491 + 14.2706i −0.772436 + 0.695505i −0.957886 0.287149i \(-0.907292\pi\)
0.185450 + 0.982654i \(0.440626\pi\)
\(422\) 5.60449 + 5.04631i 0.272823 + 0.245651i
\(423\) −19.9041 + 2.09201i −0.967771 + 0.101717i
\(424\) −3.37934 + 15.8985i −0.164115 + 0.772101i
\(425\) 27.5119 12.2491i 1.33452 0.594168i
\(426\) 17.8801 + 12.9907i 0.866294 + 0.629400i
\(427\) −0.409901 + 0.920653i −0.0198365 + 0.0445535i
\(428\) 1.43525 + 2.48592i 0.0693753 + 0.120162i
\(429\) −10.9226 + 22.1021i −0.527350 + 1.06710i
\(430\) −0.892272 + 0.648274i −0.0430292 + 0.0312625i
\(431\) −4.43521 20.8660i −0.213637 1.00508i −0.946000 0.324168i \(-0.894916\pi\)
0.732363 0.680915i \(-0.238417\pi\)
\(432\) −0.271840 0.836637i −0.0130789 0.0402527i
\(433\) −23.6024 −1.13426 −0.567129 0.823629i \(-0.691946\pi\)
−0.567129 + 0.823629i \(0.691946\pi\)
\(434\) 0.392989 0.785000i 0.0188641 0.0376812i
\(435\) 15.4766i 0.742048i
\(436\) −0.117598 + 0.0382098i −0.00563190 + 0.00182992i
\(437\) 3.85767 + 18.1489i 0.184537 + 0.868181i
\(438\) 35.2442 25.6064i 1.68403 1.22352i
\(439\) 14.9837 25.9525i 0.715131 1.23864i −0.247778 0.968817i \(-0.579700\pi\)
0.962909 0.269826i \(-0.0869663\pi\)
\(440\) −3.56601 + 2.05883i −0.170003 + 0.0981511i
\(441\) 19.6312 + 8.74038i 0.934820 + 0.416209i
\(442\) −32.1336 20.3126i −1.52844 0.966171i
\(443\) 0.868825 0.386826i 0.0412791 0.0183786i −0.385993 0.922502i \(-0.626141\pi\)
0.427272 + 0.904123i \(0.359475\pi\)
\(444\) 1.92533 9.05796i 0.0913721 0.429872i
\(445\) 0.515748 + 4.90702i 0.0244488 + 0.232615i
\(446\) −21.1966 + 23.5412i −1.00369 + 1.11471i
\(447\) 13.1252 11.8180i 0.620803 0.558973i
\(448\) 0.449309 + 0.0472243i 0.0212279 + 0.00223114i
\(449\) −25.3581 8.23935i −1.19672 0.388839i −0.358169 0.933657i \(-0.616599\pi\)
−0.838555 + 0.544818i \(0.816599\pi\)
\(450\) 21.4735 + 6.97715i 1.01227 + 0.328906i
\(451\) −2.95408 + 28.1062i −0.139102 + 1.32347i
\(452\) 6.78016 + 7.53013i 0.318912 + 0.354187i
\(453\) 11.1435 + 10.0336i 0.523567 + 0.471421i
\(454\) 4.29911 + 40.9033i 0.201767 + 1.91969i
\(455\) 0.0331489 0.227278i 0.00155404 0.0106550i
\(456\) 18.9795 8.45022i 0.888797 0.395718i
\(457\) −14.2334 + 19.5906i −0.665809 + 0.916408i −0.999656 0.0262193i \(-0.991653\pi\)
0.333847 + 0.942627i \(0.391653\pi\)
\(458\) −12.1092 5.39136i −0.565826 0.251922i
\(459\) −0.600463 1.04003i −0.0280272 0.0485445i
\(460\) 1.61660 + 0.933346i 0.0753745 + 0.0435175i
\(461\) −18.6698 25.6968i −0.869542 1.19682i −0.979209 0.202853i \(-0.934979\pi\)
0.109668 0.993968i \(-0.465021\pi\)
\(462\) 0.224151 + 1.05455i 0.0104285 + 0.0490621i
\(463\) 4.09120 1.32931i 0.190134 0.0617784i −0.212402 0.977182i \(-0.568129\pi\)
0.402536 + 0.915404i \(0.368129\pi\)
\(464\) −46.6830 −2.16720
\(465\) 6.94853 + 5.54567i 0.322230 + 0.257174i
\(466\) 6.23922i 0.289026i
\(467\) 2.83199 + 8.71597i 0.131049 + 0.403327i 0.994955 0.100327i \(-0.0319888\pi\)
−0.863906 + 0.503654i \(0.831989\pi\)
\(468\) −1.71406 6.09722i −0.0792326 0.281844i
\(469\) −0.399754 + 0.290438i −0.0184589 + 0.0134112i
\(470\) −5.85758 3.38187i −0.270190 0.155994i
\(471\) −14.0331 24.3060i −0.646609 1.11996i
\(472\) −6.36993 2.83608i −0.293200 0.130541i
\(473\) −1.73121 + 2.38280i −0.0796011 + 0.109561i
\(474\) 1.12189 + 2.51981i 0.0515301 + 0.115738i
\(475\) −3.50422 + 16.4861i −0.160785 + 0.756433i
\(476\) −0.367399 + 0.0386152i −0.0168397 + 0.00176992i
\(477\) −14.5946 + 16.2090i −0.668242 + 0.742157i
\(478\) −10.7295 11.9164i −0.490758 0.545042i
\(479\) −41.5556 4.36767i −1.89872 0.199564i −0.918220 0.396071i \(-0.870373\pi\)
−0.980502 + 0.196507i \(0.937040\pi\)
\(480\) 1.55015 4.77087i 0.0707544 0.217760i
\(481\) −5.85517 + 22.9738i −0.266973 + 1.04752i
\(482\) 3.92318 37.3265i 0.178696 1.70018i
\(483\) −0.908036 + 0.817599i −0.0413171 + 0.0372021i
\(484\) −1.26281 + 1.40249i −0.0574003 + 0.0637495i
\(485\) 0.630519 + 5.99899i 0.0286304 + 0.272400i
\(486\) −7.39068 + 34.7704i −0.335248 + 1.57722i
\(487\) 10.7640 + 24.1762i 0.487762 + 1.09553i 0.974989 + 0.222255i \(0.0713418\pi\)
−0.487227 + 0.873275i \(0.661992\pi\)
\(488\) 13.8010 18.9954i 0.624741 0.859882i
\(489\) 11.9999 26.9522i 0.542654 1.21882i
\(490\) 3.63117 + 6.28937i 0.164039 + 0.284125i
\(491\) 4.47773 7.75566i 0.202077 0.350008i −0.747120 0.664689i \(-0.768564\pi\)
0.949198 + 0.314681i \(0.101897\pi\)
\(492\) −8.43210 11.6058i −0.380148 0.523229i
\(493\) −62.3374 + 13.2502i −2.80753 + 0.596760i
\(494\) 19.7676 7.86721i 0.889386 0.353963i
\(495\) −5.52561 −0.248358
\(496\) −16.7277 + 20.9592i −0.751096 + 0.941098i
\(497\) −0.549857 −0.0246644
\(498\) 15.7889 + 48.5933i 0.707518 + 2.17752i
\(499\) 2.24963 + 10.5837i 0.100707 + 0.473791i 0.999381 + 0.0351734i \(0.0111984\pi\)
−0.898674 + 0.438617i \(0.855468\pi\)
\(500\) 2.08471 + 2.86936i 0.0932310 + 0.128321i
\(501\) 35.6269 + 20.5692i 1.59169 + 0.918963i
\(502\) −42.2411 + 24.3879i −1.88531 + 1.08849i
\(503\) −1.72975 0.770136i −0.0771259 0.0343387i 0.367811 0.929901i \(-0.380107\pi\)
−0.444937 + 0.895562i \(0.646774\pi\)
\(504\) 0.560186 + 0.406999i 0.0249527 + 0.0181292i
\(505\) −3.82515 8.59142i −0.170217 0.382313i
\(506\) 21.9424 + 4.66400i 0.975458 + 0.207340i
\(507\) 7.42706 + 31.1667i 0.329847 + 1.38416i
\(508\) −5.88282 + 6.53353i −0.261008 + 0.289878i
\(509\) −23.9047 + 21.5239i −1.05956 + 0.954031i −0.999026 0.0441354i \(-0.985947\pi\)
−0.0605330 + 0.998166i \(0.519280\pi\)
\(510\) 1.75977 16.7431i 0.0779238 0.741395i
\(511\) −0.334927 + 1.03080i −0.0148163 + 0.0455998i
\(512\) −6.59596 2.14316i −0.291503 0.0947150i
\(513\) 0.668425 + 0.0702543i 0.0295117 + 0.00310180i
\(514\) 13.6465 12.2874i 0.601921 0.541972i
\(515\) 0.123888 + 0.111549i 0.00545916 + 0.00491545i
\(516\) −0.156277 1.48688i −0.00687971 0.0654561i
\(517\) −17.6678 3.75541i −0.777030 0.165163i
\(518\) 0.421689 + 0.947129i 0.0185279 + 0.0416145i
\(519\) −11.3039 8.21278i −0.496187 0.360501i
\(520\) −1.85637 + 5.01892i −0.0814073 + 0.220094i
\(521\) −1.31151 2.27161i −0.0574585 0.0995210i 0.835865 0.548934i \(-0.184966\pi\)
−0.893324 + 0.449413i \(0.851633\pi\)
\(522\) −41.3790 23.8902i −1.81111 1.04565i
\(523\) 3.28988 2.39023i 0.143856 0.104518i −0.513529 0.858072i \(-0.671662\pi\)
0.657386 + 0.753554i \(0.271662\pi\)
\(524\) 4.26236 0.905992i 0.186202 0.0395784i
\(525\) −1.05561 + 0.342988i −0.0460705 + 0.0149692i
\(526\) 7.56180i 0.329710i
\(527\) −16.3881 + 32.7355i −0.713877 + 1.42598i
\(528\) 32.9326i 1.43321i
\(529\) 0.749105 + 2.30551i 0.0325698 + 0.100239i
\(530\) −7.21017 + 1.53257i −0.313190 + 0.0665705i
\(531\) −5.49987 7.56992i −0.238674 0.328507i
\(532\) 0.103375 0.179051i 0.00448188 0.00776285i
\(533\) 20.3789 + 30.5548i 0.882710 + 1.32348i
\(534\) −27.4960 12.2420i −1.18987 0.529764i
\(535\) 1.91298 2.63299i 0.0827052 0.113834i
\(536\) 10.5170 4.68246i 0.454264 0.202251i
\(537\) −3.50245 0.744468i −0.151142 0.0321262i
\(538\) −17.5392 + 1.84345i −0.756169 + 0.0794766i
\(539\) 14.4125 + 12.9771i 0.620792 + 0.558964i
\(540\) 0.0502502 0.0452455i 0.00216243 0.00194706i
\(541\) 6.34347 + 0.666726i 0.272727 + 0.0286648i 0.239905 0.970796i \(-0.422884\pi\)
0.0328224 + 0.999461i \(0.489550\pi\)
\(542\) −6.58250 + 20.2589i −0.282743 + 0.870193i
\(543\) −14.3465 + 44.1540i −0.615667 + 1.89483i
\(544\) 20.5435 + 2.15920i 0.880794 + 0.0925751i
\(545\) 0.0938073 + 0.104184i 0.00401826 + 0.00446273i
\(546\) 1.09957 + 0.868329i 0.0470571 + 0.0371610i
\(547\) 2.80913 + 26.7270i 0.120110 + 1.14277i 0.874054 + 0.485828i \(0.161482\pi\)
−0.753945 + 0.656938i \(0.771851\pi\)
\(548\) 1.29400 6.08777i 0.0552768 0.260057i
\(549\) 28.7840 12.8154i 1.22847 0.546950i
\(550\) 16.4856 + 11.9775i 0.702947 + 0.510721i
\(551\) 14.5071 32.5834i 0.618022 1.38810i
\(552\) 24.6539 14.2339i 1.04934 0.605836i
\(553\) −0.0594298 0.0343118i −0.00252721 0.00145909i
\(554\) −0.723591 0.995938i −0.0307425 0.0423134i
\(555\) −10.2699 + 2.18293i −0.435931 + 0.0926600i
\(556\) 3.15783 + 9.71881i 0.133922 + 0.412169i
\(557\) 1.03053i 0.0436649i 0.999762 + 0.0218324i \(0.00695003\pi\)
−0.999762 + 0.0218324i \(0.993050\pi\)
\(558\) −25.5531 + 10.0175i −1.08175 + 0.424073i
\(559\) 0.247130 + 3.81967i 0.0104525 + 0.161555i
\(560\) 0.0948101 + 0.291795i 0.00400646 + 0.0123306i
\(561\) −9.34739 43.9760i −0.394647 1.85667i
\(562\) −1.53395 + 1.11448i −0.0647057 + 0.0470114i
\(563\) −22.1276 + 38.3262i −0.932569 + 1.61526i −0.153656 + 0.988124i \(0.549105\pi\)
−0.778913 + 0.627132i \(0.784229\pi\)
\(564\) 7.94033 4.58435i 0.334348 0.193036i
\(565\) 4.67279 10.4953i 0.196586 0.441539i
\(566\) −10.2829 + 14.1532i −0.432222 + 0.594902i
\(567\) −0.350821 0.787957i −0.0147331 0.0330911i
\(568\) 12.5308 + 2.66351i 0.525781 + 0.111758i
\(569\) −1.66141 15.8073i −0.0696500 0.662675i −0.972529 0.232781i \(-0.925217\pi\)
0.902879 0.429894i \(-0.141449\pi\)
\(570\) 7.00191 + 6.30455i 0.293278 + 0.264068i
\(571\) 17.7339 + 19.6955i 0.742143 + 0.824233i 0.989476 0.144698i \(-0.0462209\pi\)
−0.247333 + 0.968930i \(0.579554\pi\)
\(572\) 0.229214 5.71149i 0.00958393 0.238809i
\(573\) 11.0017 33.8598i 0.459603 1.41451i
\(574\) 1.52748 + 0.496309i 0.0637559 + 0.0207155i
\(575\) −2.41406 + 22.9682i −0.100673 + 0.957841i
\(576\) −9.45140 10.4968i −0.393808 0.437369i
\(577\) 5.34399 + 4.81175i 0.222473 + 0.200316i 0.772829 0.634615i \(-0.218841\pi\)
−0.550356 + 0.834930i \(0.685508\pi\)
\(578\) 41.8337 4.39690i 1.74005 0.182887i
\(579\) 10.7263 50.4633i 0.445770 2.09718i
\(580\) −1.45951 3.27811i −0.0606027 0.136116i
\(581\) −1.02841 0.747181i −0.0426655 0.0309983i
\(582\) −33.6148 14.9663i −1.39338 0.620371i
\(583\) −17.0476 + 9.84242i −0.706038 + 0.407631i
\(584\) 12.6259 21.8687i 0.522464 0.904934i
\(585\) −5.52488 + 4.58714i −0.228426 + 0.189655i
\(586\) −28.1360 + 5.98048i −1.16229 + 0.247051i
\(587\) 43.1399 14.0170i 1.78058 0.578544i 0.781600 0.623780i \(-0.214404\pi\)
0.998976 + 0.0452360i \(0.0144040\pi\)
\(588\) −9.84458 −0.405983
\(589\) −9.43071 18.1887i −0.388586 0.749452i
\(590\) 3.16222i 0.130187i
\(591\) −23.7207 + 7.70733i −0.975740 + 0.317037i
\(592\) −6.58448 30.9775i −0.270620 1.27317i
\(593\) 10.7535 + 14.8009i 0.441593 + 0.607801i 0.970565 0.240838i \(-0.0774223\pi\)
−0.528972 + 0.848639i \(0.677422\pi\)
\(594\) 0.406295 0.703723i 0.0166705 0.0288741i
\(595\) 0.209425 + 0.362734i 0.00858557 + 0.0148706i
\(596\) −1.66557 + 3.74094i −0.0682245 + 0.153235i
\(597\) 10.1804 + 7.39650i 0.416656 + 0.302718i
\(598\) 25.8114 13.5523i 1.05550 0.554195i
\(599\) −3.86470 0.821468i −0.157907 0.0335643i 0.128280 0.991738i \(-0.459055\pi\)
−0.286187 + 0.958174i \(0.592388\pi\)
\(600\) 25.7179 2.70306i 1.04993 0.110352i
\(601\) 15.9828 17.7507i 0.651951 0.724065i −0.323021 0.946392i \(-0.604698\pi\)
0.974972 + 0.222326i \(0.0713651\pi\)
\(602\) 0.112002 + 0.124390i 0.00456484 + 0.00506977i
\(603\) 15.3640 + 1.61482i 0.625670 + 0.0657605i
\(604\) −3.30651 1.07435i −0.134540 0.0437147i
\(605\) 2.03501 + 0.661214i 0.0827348 + 0.0268822i
\(606\) 57.0539 + 5.99661i 2.31766 + 0.243596i
\(607\) 23.7791 + 26.4094i 0.965164 + 1.07192i 0.997373 + 0.0724425i \(0.0230794\pi\)
−0.0322082 + 0.999481i \(0.510254\pi\)
\(608\) −7.73557 + 8.59123i −0.313719 + 0.348420i
\(609\) 2.33595 0.245519i 0.0946576 0.00994892i
\(610\) 10.4156 + 2.21390i 0.421715 + 0.0896382i
\(611\) −20.7831 + 10.9122i −0.840793 + 0.441461i
\(612\) 9.34406 + 6.78886i 0.377711 + 0.274423i
\(613\) −5.83932 + 13.1153i −0.235848 + 0.529723i −0.992231 0.124405i \(-0.960298\pi\)
0.756384 + 0.654128i \(0.226964\pi\)
\(614\) −3.88125 6.72252i −0.156635 0.271299i
\(615\) −8.13244 + 14.0858i −0.327932 + 0.567994i
\(616\) 0.367319 + 0.505571i 0.0147997 + 0.0203701i
\(617\) 0.954521 + 4.49067i 0.0384275 + 0.180787i 0.993176 0.116628i \(-0.0372086\pi\)
−0.954748 + 0.297416i \(0.903875\pi\)
\(618\) −0.967161 + 0.314250i −0.0389049 + 0.0126410i
\(619\) 32.3105i 1.29867i −0.760504 0.649334i \(-0.775048\pi\)
0.760504 0.649334i \(-0.224952\pi\)
\(620\) −1.99475 0.519354i −0.0801110 0.0208578i
\(621\) 0.920955 0.0369567
\(622\) 25.8821 8.40959i 1.03778 0.337194i
\(623\) 0.732455 0.155688i 0.0293452 0.00623751i
\(624\) −27.3394 32.9283i −1.09445 1.31819i
\(625\) −9.44002 + 16.3506i −0.377601 + 0.654024i
\(626\) 2.51209 1.45036i 0.100403 0.0579680i
\(627\) 22.9860 + 10.2340i 0.917974 + 0.408708i
\(628\) 5.26449 + 3.82488i 0.210076 + 0.152629i
\(629\) −17.5850 39.4964i −0.701158 1.57483i
\(630\) −0.0652893 + 0.307162i −0.00260119 + 0.0122376i
\(631\) 21.8179 2.29316i 0.868558 0.0912891i 0.340243 0.940338i \(-0.389491\pi\)
0.528315 + 0.849048i \(0.322824\pi\)
\(632\) 1.18815 + 1.06982i 0.0472622 + 0.0425551i
\(633\) 7.75583 + 8.61372i 0.308267 + 0.342365i
\(634\) −4.20998 + 40.0553i −0.167200 + 1.59080i
\(635\) 9.48014 + 3.08028i 0.376208 + 0.122237i
\(636\) 3.08776 9.50316i 0.122438 0.376825i
\(637\) 25.1837 + 1.01068i 0.997816 + 0.0400445i
\(638\) −28.8543 32.0459i −1.14235 1.26871i
\(639\) 12.7755 + 11.5031i 0.505390 + 0.455055i
\(640\) −0.924490 8.79594i −0.0365437 0.347690i
\(641\) 3.01943 + 0.641799i 0.119260 + 0.0253495i 0.267155 0.963654i \(-0.413916\pi\)
−0.147895 + 0.989003i \(0.547250\pi\)
\(642\) 8.07496 + 18.1367i 0.318693 + 0.715797i
\(643\) −29.0277 + 39.9532i −1.14474 + 1.57560i −0.388303 + 0.921532i \(0.626939\pi\)
−0.756437 + 0.654067i \(0.773061\pi\)
\(644\) 0.115228 0.258807i 0.00454063 0.0101984i
\(645\) −1.46800 + 0.847548i −0.0578023 + 0.0333722i
\(646\) −19.3991 + 33.6002i −0.763246 + 1.32198i
\(647\) 10.1873 7.40153i 0.400506 0.290984i −0.369241 0.929334i \(-0.620382\pi\)
0.769747 + 0.638349i \(0.220382\pi\)
\(648\) 4.17808 + 19.6563i 0.164130 + 0.772173i
\(649\) −2.60955 8.03138i −0.102434 0.315259i
\(650\) 26.4266 1.70978i 1.03654 0.0670631i
\(651\) 0.726800 1.13675i 0.0284856 0.0445526i
\(652\) 6.84039i 0.267890i
\(653\) −8.66939 26.6816i −0.339259 1.04413i −0.964586 0.263770i \(-0.915034\pi\)
0.625326 0.780363i \(-0.284966\pi\)
\(654\) −0.836501 + 0.177804i −0.0327098 + 0.00695268i
\(655\) −2.90401 3.99702i −0.113469 0.156177i
\(656\) −42.4878 24.5303i −1.65887 0.957748i
\(657\) 29.3462 16.9430i 1.14490 0.661011i
\(658\) −0.417517 + 0.937758i −0.0162765 + 0.0365576i
\(659\) −12.4040 9.01205i −0.483192 0.351059i 0.319368 0.947631i \(-0.396529\pi\)
−0.802560 + 0.596571i \(0.796529\pi\)
\(660\) 2.31255 1.02961i 0.0900157 0.0400776i
\(661\) 3.79169 17.8385i 0.147480 0.693837i −0.840820 0.541314i \(-0.817927\pi\)
0.988300 0.152523i \(-0.0487397\pi\)
\(662\) 2.79359 + 26.5793i 0.108576 + 1.03303i
\(663\) −45.8533 36.2104i −1.78079 1.40629i
\(664\) 19.8172 + 22.0093i 0.769058 + 0.854126i
\(665\) −0.233128 0.0245027i −0.00904031 0.000950175i
\(666\) 10.0165 30.8276i 0.388131 1.19454i
\(667\) 15.1025 46.4807i 0.584771 1.79974i
\(668\) −9.48589 0.997007i −0.367020 0.0385754i
\(669\) −36.1812 + 32.5777i −1.39885 + 1.25953i
\(670\) 3.87991 + 3.49349i 0.149894 + 0.134965i
\(671\) 28.2803 2.97238i 1.09175 0.114748i
\(672\) −0.744679 0.158286i −0.0287266 0.00610603i
\(673\) −14.3204 + 6.37584i −0.552009 + 0.245770i −0.663734 0.747969i \(-0.731029\pi\)
0.111724 + 0.993739i \(0.464363\pi\)
\(674\) −18.7308 + 25.7808i −0.721484 + 0.993038i
\(675\) 0.764250 + 0.340266i 0.0294160 + 0.0130968i
\(676\) −4.51227 5.90102i −0.173549 0.226962i
\(677\) 11.7443 20.3417i 0.451370 0.781797i −0.547101 0.837067i \(-0.684269\pi\)
0.998471 + 0.0552700i \(0.0176020\pi\)
\(678\) 41.1925 + 56.6966i 1.58199 + 2.17742i
\(679\) 0.895450 0.190334i 0.0343642 0.00730434i
\(680\) −3.01554 9.28088i −0.115641 0.355906i
\(681\) 63.2118i 2.42228i
\(682\) −24.7269 + 1.47183i −0.946841 + 0.0563592i
\(683\) 14.6724i 0.561425i 0.959792 + 0.280712i \(0.0905707\pi\)
−0.959792 + 0.280712i \(0.909429\pi\)
\(684\) −6.14762 + 1.99748i −0.235060 + 0.0763756i
\(685\) −6.90228 + 1.46712i −0.263722 + 0.0560559i
\(686\) 1.78459 1.29658i 0.0681358 0.0495036i
\(687\) −17.6429 10.1861i −0.673119 0.388626i
\(688\) −2.55651 4.42800i −0.0974659 0.168816i
\(689\) −8.87453 + 23.9933i −0.338093 + 0.914073i
\(690\) 10.4448 + 7.58860i 0.397627 + 0.288893i
\(691\) 10.4273 + 23.4200i 0.396672 + 0.890941i 0.995908 + 0.0903682i \(0.0288044\pi\)
−0.599236 + 0.800572i \(0.704529\pi\)
\(692\) 3.16878 + 0.673546i 0.120459 + 0.0256044i
\(693\) 0.0876574 + 0.834004i 0.00332983 + 0.0316812i
\(694\) −20.9750 18.8860i −0.796200 0.716902i
\(695\) 8.61021 7.75267i 0.326604 0.294076i
\(696\) −54.4239 5.72018i −2.06293 0.216823i
\(697\) −63.6979 20.6967i −2.41273 0.783943i
\(698\) 7.70743 23.7210i 0.291730 0.897854i
\(699\) 1.00235 9.53672i 0.0379123 0.360712i
\(700\) 0.191243 0.172196i 0.00722832 0.00650841i
\(701\) −3.67100 + 4.07706i −0.138652 + 0.153988i −0.808471 0.588535i \(-0.799705\pi\)
0.669820 + 0.742524i \(0.266371\pi\)
\(702\) −0.177962 1.04092i −0.00671674 0.0392870i
\(703\) 23.6676 + 5.03071i 0.892641 + 0.189737i
\(704\) −5.18500 11.6457i −0.195417 0.438914i
\(705\) −8.41007 6.11027i −0.316742 0.230126i
\(706\) 36.5261 + 16.2625i 1.37468 + 0.612046i
\(707\) −1.23606 + 0.713639i −0.0464868 + 0.0268391i
\(708\) 3.71231 + 2.14330i 0.139517 + 0.0805502i
\(709\) 6.36470 + 8.76026i 0.239031 + 0.328999i 0.911632 0.411007i \(-0.134823\pi\)
−0.672601 + 0.740006i \(0.734823\pi\)
\(710\) 1.20793 + 5.68287i 0.0453328 + 0.213274i
\(711\) 0.662995 + 2.04049i 0.0248643 + 0.0765243i
\(712\) −17.4462 −0.653826
\(713\) −15.4568 23.4358i −0.578862 0.877677i
\(714\) −2.55502 −0.0956191
\(715\) −6.02150 + 2.39647i −0.225191 + 0.0896229i
\(716\) 0.812060 0.172609i 0.0303481 0.00645069i
\(717\) −14.4858 19.9380i −0.540984 0.744600i
\(718\) 11.9328 20.6682i 0.445328 0.771331i
\(719\) −6.94781 12.0340i −0.259109 0.448791i 0.706894 0.707319i \(-0.250096\pi\)
−0.966004 + 0.258529i \(0.916762\pi\)
\(720\) 3.90157 8.76308i 0.145403 0.326581i
\(721\) 0.0148713 0.0204686i 0.000553835 0.000762289i
\(722\) 3.56061 + 7.99725i 0.132512 + 0.297627i
\(723\) 11.9932 56.4238i 0.446034 2.09842i
\(724\) −1.12516 10.7052i −0.0418163 0.397855i
\(725\) 29.7060 32.9919i 1.10325 1.22529i
\(726\) −9.69995 + 8.73388i −0.359999 + 0.324145i
\(727\) −4.84361 + 46.0839i −0.179640 + 1.70916i 0.418874 + 0.908044i \(0.362425\pi\)
−0.598513 + 0.801113i \(0.704242\pi\)
\(728\) 0.786976 + 0.200571i 0.0291673 + 0.00743365i
\(729\) −8.75046 + 26.9312i −0.324091 + 0.997450i
\(730\) 11.3892 + 1.19706i 0.421535 + 0.0443051i
\(731\) −4.67060 5.18723i −0.172749 0.191857i
\(732\) −9.65853 + 10.7269i −0.356989 + 0.396477i
\(733\) 46.4639 4.88355i 1.71618 0.180378i 0.805250 0.592935i \(-0.202031\pi\)
0.910932 + 0.412557i \(0.135364\pi\)
\(734\) −4.91329 + 23.1152i −0.181353 + 0.853197i
\(735\) 4.53988 + 10.1967i 0.167456 + 0.376112i
\(736\) −9.31109 + 12.8156i −0.343211 + 0.472390i
\(737\) 12.7371 + 5.67091i 0.469176 + 0.208891i
\(738\) −25.1069 43.4865i −0.924200 1.60076i
\(739\) 0.910854 + 0.525882i 0.0335063 + 0.0193449i 0.516660 0.856191i \(-0.327175\pi\)
−0.483153 + 0.875536i \(0.660509\pi\)
\(740\) 1.96940 1.43085i 0.0723966 0.0525992i
\(741\) 31.4789 8.84941i 1.15641 0.325091i
\(742\) 0.345698 + 1.06395i 0.0126910 + 0.0390588i
\(743\) 30.0891i 1.10386i 0.833890 + 0.551931i \(0.186109\pi\)
−0.833890 + 0.551931i \(0.813891\pi\)
\(744\) −22.0696 + 22.3850i −0.809112 + 0.820673i
\(745\) 4.64284 0.170101
\(746\) 4.66417 1.51548i 0.170767 0.0554857i
\(747\) 8.26305 + 38.8746i 0.302329 + 1.42235i
\(748\) 6.12698 + 8.43307i 0.224025 + 0.308344i
\(749\) −0.427755 0.246964i −0.0156298 0.00902388i
\(750\) 12.2650 + 21.2436i 0.447854 + 0.775706i
\(751\) −12.1487 5.40895i −0.443313 0.197376i 0.172926 0.984935i \(-0.444678\pi\)
−0.616239 + 0.787559i \(0.711344\pi\)
\(752\) 18.4308 25.3678i 0.672101 0.925067i
\(753\) −68.4841 + 30.4911i −2.49570 + 1.11116i
\(754\) −55.4538 8.08802i −2.01951 0.294548i
\(755\) 0.412033 + 3.92024i 0.0149954 + 0.142672i
\(756\) −0.00762626 0.00686671i −0.000277364 0.000249740i
\(757\) 0.492663 + 0.547158i 0.0179061 + 0.0198868i 0.752031 0.659127i \(-0.229074\pi\)
−0.734125 + 0.679014i \(0.762408\pi\)
\(758\) 0.751976 7.15458i 0.0273130 0.259866i
\(759\) 32.7899 + 10.6541i 1.19020 + 0.386719i
\(760\) 5.19411 + 1.68767i 0.188410 + 0.0612182i
\(761\) 26.5312 + 2.78854i 0.961755 + 0.101085i 0.572375 0.819992i \(-0.306022\pi\)
0.389381 + 0.921077i \(0.372689\pi\)
\(762\) −45.1875 + 40.6870i −1.63697 + 1.47393i
\(763\) 0.0142367 0.0158115i 0.000515404 0.000572414i
\(764\) 0.862837 + 8.20935i 0.0312164 + 0.297004i
\(765\) 2.72264 12.8090i 0.0984374 0.463111i
\(766\) 9.96469 4.43657i 0.360039 0.160300i
\(767\) −9.27654 5.86397i −0.334956 0.211736i
\(768\) 28.5969 + 12.7322i 1.03190 + 0.459432i
\(769\) −5.40917 + 3.12299i −0.195060 + 0.112618i −0.594349 0.804207i \(-0.702590\pi\)
0.399289 + 0.916825i \(0.369257\pi\)
\(770\) −0.141704 + 0.245439i −0.00510667 + 0.00884501i
\(771\) 22.8328 16.5890i 0.822305 0.597439i
\(772\) 2.48695 + 11.7002i 0.0895073 + 0.421099i
\(773\) −6.59881 + 2.14408i −0.237343 + 0.0771174i −0.425273 0.905065i \(-0.639822\pi\)
0.187930 + 0.982182i \(0.439822\pi\)
\(774\) 5.23320i 0.188104i
\(775\) −4.16792 25.1589i −0.149716 0.903734i
\(776\) −21.3286 −0.765652
\(777\) 0.492397 + 1.51544i 0.0176647 + 0.0543662i
\(778\) −0.536434 2.52372i −0.0192321 0.0904798i
\(779\) 30.3248 22.0323i 1.08650 0.789389i
\(780\) 1.45750 2.94926i 0.0521868 0.105600i
\(781\) 7.75754 + 13.4365i 0.277587 + 0.480794i
\(782\) −21.6234 + 48.5670i −0.773251 + 1.73675i
\(783\) −1.43224 1.04058i −0.0511841 0.0371875i
\(784\) −30.7570 + 13.6939i −1.09846 + 0.489067i
\(785\) 1.53395 7.21668i 0.0547491 0.257574i
\(786\) 29.9730 3.15029i 1.06910 0.112367i
\(787\) −20.4983 18.4568i −0.730686 0.657913i 0.217343 0.976095i \(-0.430261\pi\)
−0.948030 + 0.318182i \(0.896928\pi\)
\(788\) 4.29746 3.86945i 0.153091 0.137843i
\(789\) −1.21483 + 11.5583i −0.0432490 + 0.411487i
\(790\) −0.224063 + 0.689594i −0.00797179 + 0.0245347i
\(791\) −1.65822 0.538789i −0.0589596 0.0191571i
\(792\) 2.04227 19.4309i 0.0725690 0.690448i
\(793\) 25.8091 26.4492i 0.916506 0.939239i
\(794\) −19.4469 + 21.5980i −0.690146 + 0.766485i
\(795\) −11.2670 + 1.18421i −0.399601 + 0.0419997i
\(796\) −2.85383 0.606601i −0.101151 0.0215004i
\(797\) 21.0723 9.38201i 0.746421 0.332328i 0.00196356 0.999998i \(-0.499375\pi\)
0.744457 + 0.667670i \(0.232708\pi\)
\(798\) 0.840495 1.15684i 0.0297532 0.0409518i
\(799\) 17.4110 39.1057i 0.615956 1.38346i
\(800\) −12.4617 + 7.19479i −0.440589 + 0.254374i
\(801\) −20.2750 11.7058i −0.716383 0.413604i
\(802\) −16.4144 + 11.9258i −0.579613 + 0.421113i
\(803\) 29.9141 6.35844i 1.05565 0.224384i
\(804\) −6.73094 + 2.18701i −0.237382 + 0.0771301i
\(805\) −0.321203 −0.0113209
\(806\) −23.5017 + 21.9989i −0.827814 + 0.774878i
\(807\) −27.1051 −0.954143
\(808\) 31.6257 10.2758i 1.11259 0.361502i
\(809\) 1.36714 0.290596i 0.0480662 0.0102168i −0.183816 0.982961i \(-0.558845\pi\)
0.231882 + 0.972744i \(0.425512\pi\)
\(810\) −7.37299 + 5.35679i −0.259060 + 0.188218i
\(811\) −33.2029 19.1697i −1.16591 0.673139i −0.213198 0.977009i \(-0.568388\pi\)
−0.952713 + 0.303870i \(0.901721\pi\)
\(812\) −0.471625 + 0.272293i −0.0165508 + 0.00955561i
\(813\) −13.3161 + 29.9084i −0.467015 + 1.04893i
\(814\) 17.1950 23.6669i 0.602684 0.829524i
\(815\) 7.08508 3.15448i 0.248180 0.110497i
\(816\) 76.3417 + 16.2269i 2.67250 + 0.568056i
\(817\) 3.88507 0.408337i 0.135921 0.0142859i
\(818\) −11.4556 + 12.7228i −0.400536 + 0.444841i
\(819\) 0.780003 + 0.761124i 0.0272555 + 0.0265958i
\(820\) 0.394187 3.75044i 0.0137656 0.130971i
\(821\) −24.8093 8.06102i −0.865849 0.281331i −0.157780 0.987474i \(-0.550434\pi\)
−0.708069 + 0.706143i \(0.750434\pi\)
\(822\) 13.3017 40.9384i 0.463950 1.42789i
\(823\) 3.78282 35.9912i 0.131861 1.25457i −0.705811 0.708400i \(-0.749417\pi\)
0.837672 0.546173i \(-0.183916\pi\)
\(824\) −0.438055 + 0.394426i −0.0152604 + 0.0137405i
\(825\) 23.2742 + 20.9562i 0.810302 + 0.729600i
\(826\) −0.477288 + 0.0501650i −0.0166070 + 0.00174546i
\(827\) 8.10701 38.1405i 0.281908 1.32627i −0.578088 0.815975i \(-0.696201\pi\)
0.859996 0.510300i \(-0.170466\pi\)
\(828\) −8.09153 + 3.60258i −0.281200 + 0.125198i
\(829\) −6.52546 4.74102i −0.226639 0.164663i 0.468671 0.883373i \(-0.344733\pi\)
−0.695310 + 0.718710i \(0.744733\pi\)
\(830\) −5.46303 + 12.2702i −0.189625 + 0.425904i
\(831\) −0.946018 1.63855i −0.0328170 0.0568407i
\(832\) −14.8521 7.33978i −0.514904 0.254461i
\(833\) −37.1840 + 27.0158i −1.28835 + 0.936041i
\(834\) 14.6945 + 69.1323i 0.508830 + 2.39386i
\(835\) 3.34179 + 10.2850i 0.115648 + 0.355927i
\(836\) −5.83379 −0.201766
\(837\) −0.980398 + 0.270165i −0.0338875 + 0.00933827i
\(838\) 31.7594i 1.09711i
\(839\) 0.172745 0.0561283i 0.00596383 0.00193777i −0.306034 0.952021i \(-0.599002\pi\)
0.311997 + 0.950083i \(0.399002\pi\)
\(840\) 0.0747769 + 0.351798i 0.00258005 + 0.0121382i
\(841\) −52.5439 + 38.1754i −1.81186 + 1.31639i
\(842\) 17.0996 29.6174i 0.589293 1.02068i
\(843\) −2.52370 + 1.45706i −0.0869209 + 0.0501838i
\(844\) −2.45507 1.09307i −0.0845071 0.0376250i
\(845\) −4.03125 + 7.39497i −0.138679 + 0.254395i
\(846\) 29.3187 13.0535i 1.00800 0.448790i
\(847\) 0.0675168 0.317642i 0.00231991 0.0109143i
\(848\) −3.57201 33.9854i −0.122663 1.16706i
\(849\) −17.9913 + 19.9813i −0.617459 + 0.685757i
\(850\) −35.8881 + 32.3138i −1.23095 + 1.10835i
\(851\) 32.9735 + 3.46565i 1.13032 + 0.118801i
\(852\) −7.49014 2.43369i −0.256608 0.0833770i
\(853\) 47.1855 + 15.3315i 1.61560 + 0.524941i 0.970898 0.239492i \(-0.0769810\pi\)
0.644703 + 0.764433i \(0.276981\pi\)
\(854\) 0.168922 1.60719i 0.00578041 0.0549969i
\(855\) 4.90394 + 5.44638i 0.167711 + 0.186262i
\(856\) 8.55191 + 7.70017i 0.292298 + 0.263186i
\(857\) −3.40306 32.3779i −0.116246 1.10601i −0.884719 0.466125i \(-0.845650\pi\)
0.768473 0.639883i \(-0.221017\pi\)
\(858\) 5.70571 39.1200i 0.194790 1.33553i
\(859\) −45.3351 + 20.1845i −1.54682 + 0.688686i −0.989885 0.141873i \(-0.954688\pi\)
−0.556930 + 0.830559i \(0.688021\pi\)
\(860\) 0.231009 0.317957i 0.00787735 0.0108422i
\(861\) 2.25504 + 1.00401i 0.0768516 + 0.0342165i
\(862\) 17.1038 + 29.6246i 0.582558 + 1.00902i
\(863\) 7.46123 + 4.30774i 0.253983 + 0.146637i 0.621587 0.783345i \(-0.286488\pi\)
−0.367604 + 0.929983i \(0.619822\pi\)
\(864\) 0.337281 + 0.464228i 0.0114745 + 0.0157934i
\(865\) −0.763661 3.59274i −0.0259653 0.122157i
\(866\) 35.9955 11.6957i 1.22318 0.397435i
\(867\) 64.6497 2.19562
\(868\) −0.0467440 + 0.309315i −0.00158659 + 0.0104988i
\(869\) 1.93632i 0.0656853i
\(870\) −7.66912 23.6031i −0.260008 0.800221i
\(871\) 17.4432 4.90365i 0.591039 0.166154i
\(872\) −0.401035 + 0.291369i −0.0135808 + 0.00986700i
\(873\) −24.7869 14.3107i −0.838909 0.484344i
\(874\) −14.8766 25.7670i −0.503208 0.871582i
\(875\) −0.557525 0.248226i −0.0188478 0.00839157i
\(876\) −9.12473 + 12.5591i −0.308296 + 0.424333i
\(877\) −23.3586 52.4644i −0.788765 1.77160i −0.617828 0.786313i \(-0.711987\pi\)
−0.170937 0.985282i \(-0.554680\pi\)
\(878\) −9.99110 + 47.0044i −0.337183 + 1.58632i
\(879\) −43.9669 + 4.62111i −1.48297 + 0.155866i
\(880\) 5.79279 6.43354i 0.195275 0.216875i
\(881\) −16.5219 18.3494i −0.556636 0.618207i 0.397492 0.917606i \(-0.369881\pi\)
−0.954128 + 0.299399i \(0.903214\pi\)
\(882\) −34.2703 3.60196i −1.15394 0.121284i
\(883\) −1.68778 + 5.19444i −0.0567982 + 0.174807i −0.975431 0.220306i \(-0.929294\pi\)
0.918633 + 0.395113i \(0.129294\pi\)
\(884\) 13.1270 + 3.34558i 0.441508 + 0.112524i
\(885\) 0.508021 4.83350i 0.0170769 0.162476i
\(886\) −1.13335 + 1.02047i −0.0380755 + 0.0342833i
\(887\) −0.308735 + 0.342885i −0.0103663 + 0.0115130i −0.748306 0.663354i \(-0.769132\pi\)
0.737939 + 0.674867i \(0.235799\pi\)
\(888\) −3.88055 36.9210i −0.130223 1.23899i
\(889\) 0.314529 1.47974i 0.0105490 0.0496290i
\(890\) −3.21813 7.22803i −0.107872 0.242284i
\(891\) −14.3053 + 19.6895i −0.479244 + 0.659623i
\(892\) 4.59134 10.3123i 0.153729 0.345282i
\(893\) 11.9785 + 20.7474i 0.400845 + 0.694284i
\(894\) −14.1609 + 24.5274i −0.473611 + 0.820318i
\(895\) −0.553269 0.761509i −0.0184937 0.0254545i
\(896\) −1.31294 + 0.279074i −0.0438623 + 0.00932322i
\(897\) 41.6302 16.5682i 1.38999 0.553196i
\(898\) 42.7560 1.42679
\(899\) −2.44204 + 53.9112i −0.0814466 + 1.79804i
\(900\) −8.04576 −0.268192
\(901\) −14.4160 44.3680i −0.480267 1.47811i
\(902\) −9.42221 44.3280i −0.313725 1.47596i
\(903\) 0.151212 + 0.208126i 0.00503202 + 0.00692598i
\(904\) 35.1797 + 20.3110i 1.17006 + 0.675534i
\(905\) −10.5693 + 6.10217i −0.351334 + 0.202843i
\(906\) −21.9667 9.78020i −0.729794 0.324925i
\(907\) −27.8266 20.2172i −0.923967 0.671302i 0.0205410 0.999789i \(-0.493461\pi\)
−0.944508 + 0.328487i \(0.893461\pi\)
\(908\) −5.96112 13.3889i −0.197827 0.444326i
\(909\) 43.6483 + 9.27773i 1.44772 + 0.307723i
\(910\) 0.0620682 + 0.363044i 0.00205754 + 0.0120348i
\(911\) 22.5384 25.0314i 0.746729 0.829327i −0.243335 0.969942i \(-0.578241\pi\)
0.990064 + 0.140615i \(0.0449081\pi\)
\(912\) −32.4604 + 29.2274i −1.07487 + 0.967817i
\(913\) −3.74926 + 35.6719i −0.124083 + 1.18057i
\(914\) 11.9994 36.9303i 0.396904 1.22154i
\(915\) 15.5647 + 5.05727i 0.514552 + 0.167188i
\(916\) 4.69754 + 0.493732i 0.155211 + 0.0163133i
\(917\) −0.557219 + 0.501722i −0.0184010 + 0.0165683i
\(918\) 1.43112 + 1.28859i 0.0472340 + 0.0425297i
\(919\) −0.969482 9.22401i −0.0319803 0.304272i −0.998807 0.0488378i \(-0.984448\pi\)
0.966826 0.255434i \(-0.0822184\pi\)
\(920\) 7.31998 + 1.55591i 0.241332 + 0.0512968i
\(921\) −4.85254 10.8990i −0.159897 0.359134i
\(922\) 41.2066 + 29.9383i 1.35707 + 0.985966i
\(923\) 18.9109 + 6.99468i 0.622461 + 0.230233i
\(924\) −0.192090 0.332709i −0.00631928 0.0109453i
\(925\) 26.0824 + 15.0587i 0.857584 + 0.495126i
\(926\) −5.58070 + 4.05462i −0.183393 + 0.133243i
\(927\) −0.773728 + 0.164461i −0.0254126 + 0.00540161i
\(928\) 28.9606 9.40988i 0.950680 0.308895i
\(929\) 18.7585i 0.615448i −0.951476 0.307724i \(-0.900433\pi\)
0.951476 0.307724i \(-0.0995673\pi\)
\(930\) −13.3451 5.01439i −0.437604 0.164428i
\(931\) 25.7230i 0.843036i
\(932\) 0.687042 + 2.11450i 0.0225048 + 0.0692627i
\(933\) 40.9121 8.69613i 1.33940 0.284698i
\(934\) −8.63803 11.8892i −0.282645 0.389028i
\(935\) 5.90924 10.2351i 0.193253 0.334724i
\(936\) −14.0888 21.1238i −0.460506 0.690452i
\(937\) 48.5794 + 21.6289i 1.58702 + 0.706586i 0.995050 0.0993741i \(-0.0316841\pi\)
0.591969 + 0.805961i \(0.298351\pi\)
\(938\) 0.465737 0.641032i 0.0152068 0.0209304i
\(939\) 4.07277 1.81331i 0.132910 0.0591753i
\(940\) 2.35756 + 0.501115i 0.0768952 + 0.0163446i
\(941\) −44.4499 + 4.67187i −1.44903 + 0.152299i −0.796119 0.605140i \(-0.793117\pi\)
−0.652907 + 0.757438i \(0.726451\pi\)
\(942\) 33.4459 + 30.1148i 1.08973 + 0.981194i
\(943\) 38.1693 34.3678i 1.24296 1.11917i
\(944\) 14.5796 + 1.53237i 0.474524 + 0.0498745i
\(945\) −0.00359546 + 0.0110657i −0.000116960 + 0.000359967i
\(946\) 1.45949 4.49184i 0.0474520 0.146042i
\(947\) −53.8859 5.66363i −1.75106 0.184043i −0.825947 0.563747i \(-0.809359\pi\)
−0.925108 + 0.379704i \(0.876026\pi\)
\(948\) −0.657686 0.730435i −0.0213607 0.0237234i
\(949\) 24.6316 31.1911i 0.799576 1.01251i
\(950\) −2.82510 26.8791i −0.0916585 0.872072i
\(951\) −12.8700 + 60.5487i −0.417339 + 1.96343i
\(952\) −1.35296 + 0.602379i −0.0438498 + 0.0195232i
\(953\) −30.9089 22.4566i −1.00124 0.727441i −0.0388839 0.999244i \(-0.512380\pi\)
−0.962353 + 0.271802i \(0.912380\pi\)
\(954\) 14.2260 31.9520i 0.460583 1.03449i
\(955\) 8.10511 4.67949i 0.262275 0.151425i
\(956\) 4.94848 + 2.85701i 0.160045 + 0.0924023i
\(957\) −38.9559 53.6182i −1.25926 1.73323i
\(958\) 65.5399 13.9309i 2.11750 0.450088i
\(959\) 0.330936 + 1.01852i 0.0106865 + 0.0328896i
\(960\) 7.33667i 0.236790i
\(961\) 23.3294 + 20.4141i 0.752563 + 0.658521i
\(962\) −2.45458 37.9383i −0.0791389 1.22318i
\(963\) 4.77200 + 14.6867i 0.153776 + 0.473273i
\(964\) 2.78069 + 13.0821i 0.0895601 + 0.421347i
\(965\) 10.9718 7.97151i 0.353196 0.256612i
\(966\) 0.979685 1.69686i 0.0315208 0.0545957i
\(967\) −19.3154 + 11.1517i −0.621140 + 0.358615i −0.777313 0.629114i \(-0.783418\pi\)
0.156173 + 0.987730i \(0.450084\pi\)
\(968\) −3.07731 + 6.91176i −0.0989086 + 0.222152i
\(969\) −35.0497 + 48.2417i −1.12596 + 1.54975i
\(970\) −3.93427 8.83650i −0.126322 0.283723i
\(971\) −44.5030 9.45940i −1.42817 0.303567i −0.571996 0.820257i \(-0.693831\pi\)
−0.856173 + 0.516690i \(0.827164\pi\)
\(972\) −1.32407 12.5977i −0.0424696 0.404071i
\(973\) −1.30673 1.17659i −0.0418920 0.0377197i
\(974\) −28.3960 31.5369i −0.909865 1.01051i
\(975\) 40.6681 + 1.63210i 1.30242 + 0.0522689i
\(976\) −15.2545 + 46.9486i −0.488286 + 1.50279i
\(977\) 15.0487 + 4.88961i 0.481449 + 0.156432i 0.539679 0.841871i \(-0.318546\pi\)
−0.0582297 + 0.998303i \(0.518546\pi\)
\(978\) −4.94522 + 47.0506i −0.158131 + 1.50451i
\(979\) −14.1381 15.7020i −0.451856 0.501837i
\(980\) −1.92318 1.73164i −0.0614339 0.0553153i
\(981\) −0.661558 + 0.0695325i −0.0211219 + 0.00222000i
\(982\) −2.98575 + 14.0469i −0.0952792 + 0.448253i
\(983\) 10.4099 + 23.3809i 0.332023 + 0.745735i 0.999999 + 0.00155249i \(0.000494173\pi\)
−0.667976 + 0.744183i \(0.732839\pi\)
\(984\) −46.5272 33.8040i −1.48323 1.07763i
\(985\) −5.98966 2.66677i −0.190846 0.0849703i
\(986\) 88.5037 51.0977i 2.81853 1.62728i
\(987\) −0.788834 + 1.36630i −0.0251088 + 0.0434898i
\(988\) −5.83302 + 4.84298i −0.185573 + 0.154076i
\(989\) 5.23587 1.11292i 0.166491 0.0353888i
\(990\) 8.42701 2.73810i 0.267828 0.0870226i
\(991\) −13.5313 −0.429835 −0.214918 0.976632i \(-0.568948\pi\)
−0.214918 + 0.976632i \(0.568948\pi\)
\(992\) 6.15258 16.3742i 0.195345 0.519883i
\(993\) 41.0755i 1.30349i
\(994\) 0.838577 0.272470i 0.0265980 0.00864223i
\(995\) 0.687760 + 3.23565i 0.0218034 + 0.102577i
\(996\) −10.7019 14.7299i −0.339102 0.466734i
\(997\) 21.0633 36.4827i 0.667081 1.15542i −0.311636 0.950201i \(-0.600877\pi\)
0.978717 0.205216i \(-0.0657896\pi\)
\(998\) −8.67540 15.0262i −0.274615 0.475647i
\(999\) 0.488490 1.09717i 0.0154551 0.0347128i
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 403.2.bz.a.38.10 288
13.12 even 2 inner 403.2.bz.a.38.27 yes 288
31.9 even 15 inner 403.2.bz.a.350.27 yes 288
403.350 even 30 inner 403.2.bz.a.350.10 yes 288
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
403.2.bz.a.38.10 288 1.1 even 1 trivial
403.2.bz.a.38.27 yes 288 13.12 even 2 inner
403.2.bz.a.350.10 yes 288 403.350 even 30 inner
403.2.bz.a.350.27 yes 288 31.9 even 15 inner