Properties

Label 380.2.bb.a.219.20
Level $380$
Weight $2$
Character 380.219
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), degree \(6\), 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: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 219.20
Character \(\chi\) \(=\) 380.219
Dual form 380.2.bb.a.59.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.594291 + 1.28328i) q^{2} +(0.300395 + 0.357997i) q^{3} +(-1.29364 - 1.52529i) q^{4} +(0.218254 - 2.22539i) q^{5} +(-0.637934 + 0.172738i) q^{6} +(-1.68031 + 2.91038i) q^{7} +(2.72617 - 0.753640i) q^{8} +(0.483020 - 2.73934i) q^{9} +O(q^{10})\) \(q+(-0.594291 + 1.28328i) q^{2} +(0.300395 + 0.357997i) q^{3} +(-1.29364 - 1.52529i) q^{4} +(0.218254 - 2.22539i) q^{5} +(-0.637934 + 0.172738i) q^{6} +(-1.68031 + 2.91038i) q^{7} +(2.72617 - 0.753640i) q^{8} +(0.483020 - 2.73934i) q^{9} +(2.72610 + 1.60261i) q^{10} +(0.107274 - 0.0619346i) q^{11} +(0.157446 - 0.921308i) q^{12} +(4.63813 + 3.89185i) q^{13} +(-2.73626 - 3.88593i) q^{14} +(0.862246 - 0.590363i) q^{15} +(-0.653006 + 3.94634i) q^{16} +(5.27335 - 0.929834i) q^{17} +(3.22830 + 2.24782i) q^{18} +(4.35738 + 0.115147i) q^{19} +(-3.67670 + 2.54595i) q^{20} +(-1.54667 + 0.272719i) q^{21} +(0.0157278 + 0.174470i) q^{22} +(2.96562 - 1.07940i) q^{23} +(1.08873 + 0.749573i) q^{24} +(-4.90473 - 0.971402i) q^{25} +(-7.75075 + 3.63914i) q^{26} +(2.33994 - 1.35096i) q^{27} +(6.61288 - 1.20202i) q^{28} +(3.07901 + 0.542912i) q^{29} +(0.245178 + 1.45735i) q^{30} +(3.24345 - 5.61782i) q^{31} +(-4.67620 - 3.18326i) q^{32} +(0.0543970 + 0.0197989i) q^{33} +(-1.94066 + 7.31980i) q^{34} +(6.11001 + 4.37455i) q^{35} +(-4.80314 + 2.80697i) q^{36} -4.80607 q^{37} +(-2.73732 + 5.52332i) q^{38} +2.82953i q^{39} +(-1.08214 - 6.23129i) q^{40} +(1.73589 + 2.06876i) q^{41} +(0.569194 - 2.14689i) q^{42} +(-11.3069 - 4.11538i) q^{43} +(-0.233242 - 0.0835027i) q^{44} +(-5.99069 - 1.67278i) q^{45} +(-0.377267 + 4.44721i) q^{46} +(-1.96698 + 11.1553i) q^{47} +(-1.60894 + 0.951687i) q^{48} +(-2.14689 - 3.71852i) q^{49} +(4.16142 - 5.71687i) q^{50} +(1.91697 + 1.60853i) q^{51} +(-0.0638607 - 12.1091i) q^{52} +(-0.110513 + 0.0402236i) q^{53} +(0.343067 + 3.80567i) q^{54} +(-0.114416 - 0.252244i) q^{55} +(-2.38744 + 9.20056i) q^{56} +(1.26771 + 1.59452i) q^{57} +(-2.52653 + 3.62859i) q^{58} +(-0.756119 - 4.28817i) q^{59} +(-2.01591 - 0.551459i) q^{60} +(-6.90121 + 2.51183i) q^{61} +(5.28171 + 7.50089i) q^{62} +(7.16091 + 6.00872i) q^{63} +(6.86405 - 4.10911i) q^{64} +(9.67318 - 9.47223i) q^{65} +(-0.0577353 + 0.0580405i) q^{66} +(1.55757 + 0.274642i) q^{67} +(-8.24007 - 6.84051i) q^{68} +(1.27728 + 0.737438i) q^{69} +(-9.24491 + 5.24112i) q^{70} +(2.80683 + 1.02160i) q^{71} +(-0.747681 - 7.83195i) q^{72} +(-4.12772 - 4.91923i) q^{73} +(2.85620 - 6.16755i) q^{74} +(-1.12560 - 2.04768i) q^{75} +(-5.46123 - 6.79521i) q^{76} +0.416278i q^{77} +(-3.63109 - 1.68156i) q^{78} +(8.67515 - 7.27931i) q^{79} +(8.63962 + 2.31450i) q^{80} +(-6.65500 - 2.42222i) q^{81} +(-3.68643 + 0.998202i) q^{82} +(3.57061 - 6.18447i) q^{83} +(2.41680 + 2.00631i) q^{84} +(-0.918314 - 11.9382i) q^{85} +(12.0008 - 12.0642i) q^{86} +(0.730558 + 1.26536i) q^{87} +(0.245771 - 0.249691i) q^{88} +(-2.78066 + 3.31386i) q^{89} +(5.70686 - 6.69363i) q^{90} +(-19.1203 + 6.95921i) q^{91} +(-5.48283 - 3.12708i) q^{92} +(2.98548 - 0.526421i) q^{93} +(-13.1465 - 9.15370i) q^{94} +(1.20726 - 9.67174i) q^{95} +(-0.265108 - 2.63030i) q^{96} +(1.90434 + 10.8000i) q^{97} +(6.04779 - 0.545186i) q^{98} +(-0.117845 - 0.323776i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.594291 + 1.28328i −0.420227 + 0.907419i
\(3\) 0.300395 + 0.357997i 0.173433 + 0.206690i 0.845758 0.533566i \(-0.179149\pi\)
−0.672325 + 0.740256i \(0.734704\pi\)
\(4\) −1.29364 1.52529i −0.646819 0.762644i
\(5\) 0.218254 2.22539i 0.0976062 0.995225i
\(6\) −0.637934 + 0.172738i −0.260436 + 0.0705201i
\(7\) −1.68031 + 2.91038i −0.635098 + 1.10002i 0.351397 + 0.936227i \(0.385707\pi\)
−0.986494 + 0.163795i \(0.947627\pi\)
\(8\) 2.72617 0.753640i 0.963848 0.266452i
\(9\) 0.483020 2.73934i 0.161007 0.913114i
\(10\) 2.72610 + 1.60261i 0.862069 + 0.506790i
\(11\) 0.107274 0.0619346i 0.0323443 0.0186740i −0.483741 0.875211i \(-0.660722\pi\)
0.516085 + 0.856537i \(0.327389\pi\)
\(12\) 0.157446 0.921308i 0.0454508 0.265959i
\(13\) 4.63813 + 3.89185i 1.28638 + 1.07941i 0.992330 + 0.123616i \(0.0394492\pi\)
0.294055 + 0.955789i \(0.404995\pi\)
\(14\) −2.73626 3.88593i −0.731295 1.03856i
\(15\) 0.862246 0.590363i 0.222631 0.152431i
\(16\) −0.653006 + 3.94634i −0.163252 + 0.986584i
\(17\) 5.27335 0.929834i 1.27898 0.225518i 0.507431 0.861693i \(-0.330595\pi\)
0.771545 + 0.636175i \(0.219484\pi\)
\(18\) 3.22830 + 2.24782i 0.760918 + 0.529816i
\(19\) 4.35738 + 0.115147i 0.999651 + 0.0264166i
\(20\) −3.67670 + 2.54595i −0.822136 + 0.569291i
\(21\) −1.54667 + 0.272719i −0.337510 + 0.0595122i
\(22\) 0.0157278 + 0.174470i 0.00335319 + 0.0371972i
\(23\) 2.96562 1.07940i 0.618374 0.225070i −0.0137891 0.999905i \(-0.504389\pi\)
0.632163 + 0.774835i \(0.282167\pi\)
\(24\) 1.08873 + 0.749573i 0.222236 + 0.153006i
\(25\) −4.90473 0.971402i −0.980946 0.194280i
\(26\) −7.75075 + 3.63914i −1.52005 + 0.713695i
\(27\) 2.33994 1.35096i 0.450321 0.259993i
\(28\) 6.61288 1.20202i 1.24972 0.227161i
\(29\) 3.07901 + 0.542912i 0.571757 + 0.100816i 0.452049 0.891993i \(-0.350693\pi\)
0.119708 + 0.992809i \(0.461804\pi\)
\(30\) 0.245178 + 1.45735i 0.0447632 + 0.266075i
\(31\) 3.24345 5.61782i 0.582541 1.00899i −0.412636 0.910896i \(-0.635392\pi\)
0.995177 0.0980944i \(-0.0312747\pi\)
\(32\) −4.67620 3.18326i −0.826643 0.562727i
\(33\) 0.0543970 + 0.0197989i 0.00946931 + 0.00344655i
\(34\) −1.94066 + 7.31980i −0.332821 + 1.25534i
\(35\) 6.11001 + 4.37455i 1.03278 + 0.739434i
\(36\) −4.80314 + 2.80697i −0.800523 + 0.467828i
\(37\) −4.80607 −0.790113 −0.395057 0.918657i \(-0.629275\pi\)
−0.395057 + 0.918657i \(0.629275\pi\)
\(38\) −2.73732 + 5.52332i −0.444051 + 0.896001i
\(39\) 2.82953i 0.453087i
\(40\) −1.08214 6.23129i −0.171102 0.985253i
\(41\) 1.73589 + 2.06876i 0.271101 + 0.323086i 0.884368 0.466790i \(-0.154590\pi\)
−0.613267 + 0.789876i \(0.710145\pi\)
\(42\) 0.569194 2.14689i 0.0878285 0.331272i
\(43\) −11.3069 4.11538i −1.72429 0.627589i −0.726090 0.687600i \(-0.758664\pi\)
−0.998198 + 0.0600104i \(0.980887\pi\)
\(44\) −0.233242 0.0835027i −0.0351625 0.0125885i
\(45\) −5.99069 1.67278i −0.893039 0.249363i
\(46\) −0.377267 + 4.44721i −0.0556249 + 0.655705i
\(47\) −1.96698 + 11.1553i −0.286914 + 1.62717i 0.411453 + 0.911431i \(0.365021\pi\)
−0.698367 + 0.715739i \(0.746090\pi\)
\(48\) −1.60894 + 0.951687i −0.232230 + 0.137364i
\(49\) −2.14689 3.71852i −0.306698 0.531217i
\(50\) 4.16142 5.71687i 0.588514 0.808487i
\(51\) 1.91697 + 1.60853i 0.268429 + 0.225239i
\(52\) −0.0638607 12.1091i −0.00885589 1.67923i
\(53\) −0.110513 + 0.0402236i −0.0151802 + 0.00552513i −0.349599 0.936899i \(-0.613682\pi\)
0.334419 + 0.942425i \(0.391460\pi\)
\(54\) 0.343067 + 3.80567i 0.0466855 + 0.517886i
\(55\) −0.114416 0.252244i −0.0154278 0.0340126i
\(56\) −2.38744 + 9.20056i −0.319035 + 1.22948i
\(57\) 1.26771 + 1.59452i 0.167913 + 0.211199i
\(58\) −2.52653 + 3.62859i −0.331750 + 0.476457i
\(59\) −0.756119 4.28817i −0.0984383 0.558272i −0.993639 0.112609i \(-0.964079\pi\)
0.895201 0.445663i \(-0.147032\pi\)
\(60\) −2.01591 0.551459i −0.260252 0.0711930i
\(61\) −6.90121 + 2.51183i −0.883609 + 0.321607i −0.743665 0.668552i \(-0.766914\pi\)
−0.139944 + 0.990159i \(0.544692\pi\)
\(62\) 5.28171 + 7.50089i 0.670778 + 0.952613i
\(63\) 7.16091 + 6.00872i 0.902190 + 0.757027i
\(64\) 6.86405 4.10911i 0.858007 0.513638i
\(65\) 9.67318 9.47223i 1.19981 1.17489i
\(66\) −0.0577353 + 0.0580405i −0.00710672 + 0.00714430i
\(67\) 1.55757 + 0.274642i 0.190288 + 0.0335529i 0.267980 0.963425i \(-0.413644\pi\)
−0.0776919 + 0.996977i \(0.524755\pi\)
\(68\) −8.24007 6.84051i −0.999255 0.829534i
\(69\) 1.27728 + 0.737438i 0.153766 + 0.0887771i
\(70\) −9.24491 + 5.24112i −1.10498 + 0.626434i
\(71\) 2.80683 + 1.02160i 0.333110 + 0.121242i 0.503160 0.864193i \(-0.332171\pi\)
−0.170050 + 0.985435i \(0.554393\pi\)
\(72\) −0.747681 7.83195i −0.0881150 0.923004i
\(73\) −4.12772 4.91923i −0.483114 0.575752i 0.468339 0.883549i \(-0.344853\pi\)
−0.951452 + 0.307797i \(0.900408\pi\)
\(74\) 2.85620 6.16755i 0.332027 0.716964i
\(75\) −1.12560 2.04768i −0.129973 0.236446i
\(76\) −5.46123 6.79521i −0.626446 0.779464i
\(77\) 0.416278i 0.0474392i
\(78\) −3.63109 1.68156i −0.411140 0.190400i
\(79\) 8.67515 7.27931i 0.976031 0.818987i −0.00745528 0.999972i \(-0.502373\pi\)
0.983486 + 0.180985i \(0.0579287\pi\)
\(80\) 8.63962 + 2.31450i 0.965939 + 0.258769i
\(81\) −6.65500 2.42222i −0.739445 0.269136i
\(82\) −3.68643 + 0.998202i −0.407098 + 0.110233i
\(83\) 3.57061 6.18447i 0.391925 0.678834i −0.600778 0.799416i \(-0.705143\pi\)
0.992703 + 0.120582i \(0.0384760\pi\)
\(84\) 2.41680 + 2.00631i 0.263695 + 0.218907i
\(85\) −0.918314 11.9382i −0.0996051 1.29488i
\(86\) 12.0008 12.0642i 1.29408 1.30092i
\(87\) 0.730558 + 1.26536i 0.0783240 + 0.135661i
\(88\) 0.245771 0.249691i 0.0261993 0.0266171i
\(89\) −2.78066 + 3.31386i −0.294749 + 0.351268i −0.893013 0.450031i \(-0.851413\pi\)
0.598264 + 0.801299i \(0.295857\pi\)
\(90\) 5.70686 6.69363i 0.601556 0.705571i
\(91\) −19.1203 + 6.95921i −2.00435 + 0.729523i
\(92\) −5.48283 3.12708i −0.571624 0.326020i
\(93\) 2.98548 0.526421i 0.309580 0.0545873i
\(94\) −13.1465 9.15370i −1.35596 0.944132i
\(95\) 1.20726 9.67174i 0.123863 0.992299i
\(96\) −0.265108 2.63030i −0.0270575 0.268454i
\(97\) 1.90434 + 10.8000i 0.193356 + 1.09658i 0.914740 + 0.404043i \(0.132395\pi\)
−0.721384 + 0.692536i \(0.756494\pi\)
\(98\) 6.04779 0.545186i 0.610919 0.0550721i
\(99\) −0.117845 0.323776i −0.0118438 0.0325407i
\(100\) 4.86327 + 8.73777i 0.486327 + 0.873777i
\(101\) 8.07286 + 6.77394i 0.803280 + 0.674032i 0.948994 0.315295i \(-0.102103\pi\)
−0.145714 + 0.989327i \(0.546548\pi\)
\(102\) −3.20344 + 1.50408i −0.317187 + 0.148926i
\(103\) 11.2211 6.47850i 1.10565 0.638346i 0.167949 0.985796i \(-0.446286\pi\)
0.937698 + 0.347450i \(0.112952\pi\)
\(104\) 15.5774 + 7.11439i 1.52749 + 0.697623i
\(105\) 0.269340 + 3.50146i 0.0262849 + 0.341708i
\(106\) 0.0140588 0.165724i 0.00136551 0.0160966i
\(107\) −10.3559 5.97895i −1.00114 0.578007i −0.0925532 0.995708i \(-0.529503\pi\)
−0.908585 + 0.417700i \(0.862836\pi\)
\(108\) −5.08764 1.82142i −0.489558 0.175266i
\(109\) 0.337802 0.928104i 0.0323556 0.0888963i −0.922463 0.386085i \(-0.873827\pi\)
0.954819 + 0.297189i \(0.0960492\pi\)
\(110\) 0.391697 + 0.00307823i 0.0373468 + 0.000293497i
\(111\) −1.44372 1.72056i −0.137032 0.163308i
\(112\) −10.3881 8.53157i −0.981583 0.806158i
\(113\) −8.40598 −0.790768 −0.395384 0.918516i \(-0.629388\pi\)
−0.395384 + 0.918516i \(0.629388\pi\)
\(114\) −2.79961 + 0.679229i −0.262208 + 0.0636157i
\(115\) −1.75482 6.83525i −0.163638 0.637390i
\(116\) −3.15502 5.39870i −0.292936 0.501257i
\(117\) 12.9014 10.8256i 1.19274 1.00082i
\(118\) 5.95229 + 1.57810i 0.547953 + 0.145276i
\(119\) −6.15470 + 16.9099i −0.564200 + 1.55013i
\(120\) 1.90571 2.25926i 0.173967 0.206241i
\(121\) −5.49233 + 9.51299i −0.499303 + 0.864817i
\(122\) 0.877926 10.3490i 0.0794837 0.936952i
\(123\) −0.219155 + 1.24289i −0.0197606 + 0.112068i
\(124\) −12.7646 + 2.32023i −1.14630 + 0.208362i
\(125\) −3.23223 + 10.7029i −0.289099 + 0.957299i
\(126\) −11.9666 + 5.61856i −1.06607 + 0.500541i
\(127\) −12.2881 + 14.6443i −1.09039 + 1.29947i −0.139405 + 0.990235i \(0.544519\pi\)
−0.950984 + 0.309239i \(0.899926\pi\)
\(128\) 1.19391 + 11.2505i 0.105528 + 0.994416i
\(129\) −1.92325 5.28408i −0.169333 0.465238i
\(130\) 6.40689 + 18.0427i 0.561921 + 1.58245i
\(131\) 6.09336 1.07442i 0.532380 0.0938729i 0.0990053 0.995087i \(-0.468434\pi\)
0.433374 + 0.901214i \(0.357323\pi\)
\(132\) −0.0401710 0.108584i −0.00349644 0.00945100i
\(133\) −7.65687 + 12.4882i −0.663935 + 1.08286i
\(134\) −1.27810 + 1.83559i −0.110411 + 0.158571i
\(135\) −2.49572 5.50213i −0.214798 0.473548i
\(136\) 13.6753 6.50910i 1.17265 0.558151i
\(137\) −1.29187 3.54938i −0.110372 0.303244i 0.872194 0.489161i \(-0.162697\pi\)
−0.982566 + 0.185917i \(0.940475\pi\)
\(138\) −1.70542 + 1.20086i −0.145175 + 0.102224i
\(139\) −4.33196 + 5.16262i −0.367432 + 0.437888i −0.917805 0.397030i \(-0.870041\pi\)
0.550374 + 0.834918i \(0.314485\pi\)
\(140\) −1.23168 14.9786i −0.104096 1.26592i
\(141\) −4.58445 + 2.64683i −0.386080 + 0.222903i
\(142\) −2.97908 + 2.99483i −0.249999 + 0.251321i
\(143\) 0.738590 + 0.130233i 0.0617640 + 0.0108907i
\(144\) 10.4950 + 3.69497i 0.874579 + 0.307914i
\(145\) 1.88020 6.73350i 0.156142 0.559187i
\(146\) 8.76584 2.37359i 0.725466 0.196440i
\(147\) 0.686304 1.88560i 0.0566054 0.155522i
\(148\) 6.21731 + 7.33064i 0.511060 + 0.602575i
\(149\) 12.5667 10.5448i 1.02951 0.863860i 0.0387155 0.999250i \(-0.487673\pi\)
0.990792 + 0.135391i \(0.0432289\pi\)
\(150\) 3.29669 0.227544i 0.269174 0.0185789i
\(151\) −12.5228 −1.01909 −0.509544 0.860445i \(-0.670186\pi\)
−0.509544 + 0.860445i \(0.670186\pi\)
\(152\) 11.9658 2.96998i 0.970551 0.240897i
\(153\) 14.8946i 1.20416i
\(154\) −0.534203 0.247390i −0.0430473 0.0199353i
\(155\) −11.7939 8.44406i −0.947313 0.678243i
\(156\) 4.31585 3.66039i 0.345544 0.293065i
\(157\) −1.45751 + 4.00446i −0.116322 + 0.319591i −0.984167 0.177243i \(-0.943282\pi\)
0.867845 + 0.496834i \(0.165504\pi\)
\(158\) 4.18587 + 15.4587i 0.333010 + 1.22983i
\(159\) −0.0475976 0.0274805i −0.00377474 0.00217934i
\(160\) −8.10461 + 9.71161i −0.640725 + 0.767770i
\(161\) −1.84170 + 10.4448i −0.145146 + 0.823166i
\(162\) 7.06340 7.10075i 0.554953 0.557888i
\(163\) −5.11904 8.86644i −0.400954 0.694474i 0.592887 0.805286i \(-0.297988\pi\)
−0.993841 + 0.110812i \(0.964655\pi\)
\(164\) 0.909835 5.32396i 0.0710461 0.415732i
\(165\) 0.0559327 0.116733i 0.00435435 0.00908769i
\(166\) 5.81446 + 8.25748i 0.451289 + 0.640904i
\(167\) 5.66187 + 15.5558i 0.438128 + 1.20375i 0.940708 + 0.339217i \(0.110162\pi\)
−0.502580 + 0.864531i \(0.667616\pi\)
\(168\) −4.01095 + 1.90911i −0.309452 + 0.147291i
\(169\) 4.10829 + 23.2993i 0.316022 + 1.79225i
\(170\) 15.8659 + 5.91631i 1.21686 + 0.453760i
\(171\) 2.42013 11.8807i 0.185072 0.908542i
\(172\) 8.34990 + 22.5701i 0.636674 + 1.72095i
\(173\) −1.69136 9.59221i −0.128592 0.729282i −0.979109 0.203335i \(-0.934822\pi\)
0.850517 0.525947i \(-0.176289\pi\)
\(174\) −2.05798 + 0.185520i −0.156015 + 0.0140642i
\(175\) 11.0686 12.6424i 0.836709 0.955675i
\(176\) 0.174364 + 0.463783i 0.0131432 + 0.0349590i
\(177\) 1.30802 1.55883i 0.0983166 0.117169i
\(178\) −2.60010 5.53777i −0.194886 0.415073i
\(179\) −7.26304 12.5800i −0.542865 0.940270i −0.998738 0.0502250i \(-0.984006\pi\)
0.455873 0.890045i \(-0.349327\pi\)
\(180\) 5.19830 + 11.3015i 0.387458 + 0.842363i
\(181\) −21.1417 3.72785i −1.57145 0.277089i −0.681039 0.732247i \(-0.738471\pi\)
−0.890410 + 0.455159i \(0.849583\pi\)
\(182\) 2.43235 28.6725i 0.180298 2.12535i
\(183\) −2.97232 1.71607i −0.219720 0.126856i
\(184\) 7.27132 5.17763i 0.536049 0.381700i
\(185\) −1.04894 + 10.6954i −0.0771199 + 0.786340i
\(186\) −1.09870 + 4.14407i −0.0805603 + 0.303858i
\(187\) 0.508104 0.426350i 0.0371563 0.0311778i
\(188\) 19.5596 11.4307i 1.42653 0.833671i
\(189\) 9.08016i 0.660484i
\(190\) 11.6941 + 7.29709i 0.848381 + 0.529386i
\(191\) 14.5924i 1.05587i 0.849285 + 0.527935i \(0.177033\pi\)
−0.849285 + 0.527935i \(0.822967\pi\)
\(192\) 3.53298 + 1.22296i 0.254971 + 0.0882592i
\(193\) −1.87190 + 1.57071i −0.134743 + 0.113062i −0.707668 0.706545i \(-0.750253\pi\)
0.572926 + 0.819607i \(0.305808\pi\)
\(194\) −14.9913 3.97456i −1.07631 0.285357i
\(195\) 6.29681 + 0.617557i 0.450924 + 0.0442241i
\(196\) −2.89452 + 8.08503i −0.206751 + 0.577502i
\(197\) 20.7890 + 12.0025i 1.48116 + 0.855146i 0.999772 0.0213642i \(-0.00680097\pi\)
0.481384 + 0.876510i \(0.340134\pi\)
\(198\) 0.485530 + 0.0411886i 0.0345051 + 0.00292715i
\(199\) 0.465640 + 0.0821049i 0.0330083 + 0.00582026i 0.190128 0.981759i \(-0.439110\pi\)
−0.157120 + 0.987580i \(0.550221\pi\)
\(200\) −14.1032 + 1.04819i −0.997249 + 0.0741182i
\(201\) 0.369567 + 0.640109i 0.0260672 + 0.0451498i
\(202\) −13.4905 + 6.33409i −0.949189 + 0.445665i
\(203\) −6.75377 + 8.04882i −0.474021 + 0.564917i
\(204\) −0.0263941 5.00478i −0.00184795 0.350405i
\(205\) 4.98266 3.41153i 0.348004 0.238271i
\(206\) 1.64517 + 18.2500i 0.114624 + 1.27154i
\(207\) −1.52438 8.64522i −0.105952 0.600884i
\(208\) −18.3873 + 15.7622i −1.27493 + 1.09291i
\(209\) 0.474565 0.257520i 0.0328263 0.0178131i
\(210\) −4.65344 1.73525i −0.321118 0.119743i
\(211\) −1.27499 7.23082i −0.0877739 0.497791i −0.996723 0.0808845i \(-0.974226\pi\)
0.908950 0.416906i \(-0.136886\pi\)
\(212\) 0.204317 + 0.116530i 0.0140325 + 0.00800331i
\(213\) 0.477428 + 1.31172i 0.0327128 + 0.0898778i
\(214\) 13.8271 9.73627i 0.945200 0.665557i
\(215\) −11.6261 + 24.2641i −0.792894 + 1.65480i
\(216\) 5.36094 5.44643i 0.364766 0.370583i
\(217\) 10.9000 + 18.8794i 0.739941 + 1.28161i
\(218\) 0.990269 + 0.985060i 0.0670695 + 0.0667167i
\(219\) 0.521122 2.95543i 0.0352141 0.199709i
\(220\) −0.236732 + 0.500829i −0.0159605 + 0.0337659i
\(221\) 28.0773 + 16.2104i 1.88868 + 1.09043i
\(222\) 3.06596 0.830192i 0.205774 0.0557188i
\(223\) −3.52244 + 9.67782i −0.235880 + 0.648075i 0.764116 + 0.645079i \(0.223176\pi\)
−0.999996 + 0.00299548i \(0.999047\pi\)
\(224\) 17.1220 8.26066i 1.14401 0.551938i
\(225\) −5.03008 + 12.9665i −0.335339 + 0.864435i
\(226\) 4.99559 10.7873i 0.332302 0.717558i
\(227\) 9.41783i 0.625083i 0.949904 + 0.312542i \(0.101180\pi\)
−0.949904 + 0.312542i \(0.898820\pi\)
\(228\) 0.792139 3.99636i 0.0524607 0.264665i
\(229\) −11.7727 −0.777959 −0.388979 0.921246i \(-0.627172\pi\)
−0.388979 + 0.921246i \(0.627172\pi\)
\(230\) 9.81444 + 1.81019i 0.647145 + 0.119360i
\(231\) −0.149026 + 0.125048i −0.00980521 + 0.00822755i
\(232\) 8.80307 0.840389i 0.577950 0.0551742i
\(233\) 0.145204 0.398944i 0.00951262 0.0261357i −0.934845 0.355055i \(-0.884462\pi\)
0.944358 + 0.328919i \(0.106684\pi\)
\(234\) 6.22510 + 22.9897i 0.406947 + 1.50289i
\(235\) 24.3956 + 6.81200i 1.59140 + 0.444366i
\(236\) −5.56254 + 6.70063i −0.362091 + 0.436174i
\(237\) 5.21195 + 0.919007i 0.338552 + 0.0596959i
\(238\) −18.0425 17.9476i −1.16952 1.16337i
\(239\) −26.0654 + 15.0489i −1.68603 + 0.973432i −0.728528 + 0.685016i \(0.759795\pi\)
−0.957505 + 0.288416i \(0.906872\pi\)
\(240\) 1.76672 + 3.78823i 0.114041 + 0.244529i
\(241\) 5.17036 6.16180i 0.333052 0.396916i −0.573365 0.819300i \(-0.694362\pi\)
0.906417 + 0.422384i \(0.138807\pi\)
\(242\) −8.94383 12.7017i −0.574931 0.816496i
\(243\) −3.90432 10.7270i −0.250463 0.688140i
\(244\) 12.7589 + 7.27693i 0.816807 + 0.465858i
\(245\) −8.74372 + 3.96608i −0.558616 + 0.253384i
\(246\) −1.46474 1.01988i −0.0933884 0.0650250i
\(247\) 19.7619 + 17.4923i 1.25742 + 1.11301i
\(248\) 4.60840 17.7595i 0.292634 1.12773i
\(249\) 3.28662 0.579519i 0.208281 0.0367255i
\(250\) −11.8140 10.5085i −0.747184 0.664617i
\(251\) 1.40827 + 3.86919i 0.0888892 + 0.244221i 0.976169 0.217010i \(-0.0696303\pi\)
−0.887280 + 0.461231i \(0.847408\pi\)
\(252\) −0.0985961 18.6956i −0.00621097 1.17771i
\(253\) 0.251282 0.299466i 0.0157979 0.0188273i
\(254\) −11.4902 24.4721i −0.720957 1.53551i
\(255\) 3.99799 3.91494i 0.250364 0.245163i
\(256\) −15.1472 5.15396i −0.946698 0.322123i
\(257\) 1.39435 7.90776i 0.0869773 0.493273i −0.909935 0.414751i \(-0.863869\pi\)
0.996912 0.0785220i \(-0.0250201\pi\)
\(258\) 7.92395 + 0.672206i 0.493324 + 0.0418497i
\(259\) 8.07569 13.9875i 0.501799 0.869141i
\(260\) −26.9615 2.50075i −1.67208 0.155090i
\(261\) 2.97444 8.17221i 0.184113 0.505847i
\(262\) −2.24244 + 8.45804i −0.138538 + 0.522539i
\(263\) −4.76930 + 4.00192i −0.294088 + 0.246769i −0.777878 0.628415i \(-0.783704\pi\)
0.483791 + 0.875184i \(0.339260\pi\)
\(264\) 0.163217 + 0.0129795i 0.0100453 + 0.000798832i
\(265\) 0.0653932 + 0.254714i 0.00401707 + 0.0156470i
\(266\) −11.4754 17.2475i −0.703605 1.05751i
\(267\) −2.02165 −0.123723
\(268\) −1.59603 2.73104i −0.0974929 0.166825i
\(269\) −15.8691 18.9121i −0.967558 1.15309i −0.988179 0.153303i \(-0.951009\pi\)
0.0206212 0.999787i \(-0.493436\pi\)
\(270\) 8.54398 + 0.0671446i 0.519970 + 0.00408629i
\(271\) 6.22615 17.1062i 0.378212 1.03913i −0.593886 0.804549i \(-0.702407\pi\)
0.972097 0.234578i \(-0.0753709\pi\)
\(272\) 0.225910 + 21.4176i 0.0136978 + 1.29863i
\(273\) −8.23502 4.75449i −0.498406 0.287755i
\(274\) 5.32261 + 0.451529i 0.321551 + 0.0272778i
\(275\) −0.586313 + 0.199567i −0.0353560 + 0.0120343i
\(276\) −0.527531 2.90220i −0.0317537 0.174692i
\(277\) 4.03598 2.33018i 0.242499 0.140007i −0.373826 0.927499i \(-0.621954\pi\)
0.616325 + 0.787492i \(0.288621\pi\)
\(278\) −4.05067 8.62723i −0.242943 0.517427i
\(279\) −13.8225 11.5984i −0.827530 0.694380i
\(280\) 19.9538 + 7.32105i 1.19247 + 0.437516i
\(281\) −6.97083 19.1522i −0.415845 1.14252i −0.954034 0.299700i \(-0.903114\pi\)
0.538189 0.842824i \(-0.319109\pi\)
\(282\) −0.672143 7.45613i −0.0400255 0.444006i
\(283\) −2.17388 12.3287i −0.129224 0.732864i −0.978709 0.205252i \(-0.934199\pi\)
0.849486 0.527612i \(-0.176912\pi\)
\(284\) −2.07278 5.60281i −0.122997 0.332466i
\(285\) 3.82511 2.47315i 0.226580 0.146497i
\(286\) −0.606064 + 0.870425i −0.0358373 + 0.0514693i
\(287\) −8.93772 + 1.57596i −0.527577 + 0.0930261i
\(288\) −10.9787 + 11.2721i −0.646929 + 0.664216i
\(289\) 10.9689 3.99235i 0.645228 0.234844i
\(290\) 7.52361 + 6.41448i 0.441802 + 0.376671i
\(291\) −3.29433 + 3.92603i −0.193117 + 0.230148i
\(292\) −2.16346 + 12.6597i −0.126607 + 0.740851i
\(293\) 1.10918 + 1.92115i 0.0647987 + 0.112235i 0.896605 0.442832i \(-0.146026\pi\)
−0.831806 + 0.555067i \(0.812693\pi\)
\(294\) 2.01190 + 2.00132i 0.117337 + 0.116719i
\(295\) −9.70787 + 0.746751i −0.565214 + 0.0434775i
\(296\) −13.1022 + 3.62205i −0.761549 + 0.210527i
\(297\) 0.167343 0.289846i 0.00971022 0.0168186i
\(298\) 6.06361 + 22.3934i 0.351256 + 1.29721i
\(299\) 17.9558 + 6.53537i 1.03841 + 0.377950i
\(300\) −1.66719 + 4.36582i −0.0962553 + 0.252061i
\(301\) 30.9764 25.9923i 1.78545 1.49817i
\(302\) 7.44216 16.0703i 0.428248 0.924739i
\(303\) 4.92492i 0.282929i
\(304\) −3.29980 + 17.1205i −0.189257 + 0.981928i
\(305\) 4.08360 + 15.9061i 0.233826 + 0.910781i
\(306\) 19.1141 + 8.85175i 1.09268 + 0.506021i
\(307\) −6.48351 7.72675i −0.370033 0.440989i 0.548609 0.836079i \(-0.315158\pi\)
−0.918642 + 0.395091i \(0.870713\pi\)
\(308\) 0.634943 0.538512i 0.0361793 0.0306846i
\(309\) 5.69005 + 2.07101i 0.323696 + 0.117816i
\(310\) 17.8452 10.1168i 1.01354 0.574594i
\(311\) 0.331975 + 0.191666i 0.0188246 + 0.0108684i 0.509383 0.860540i \(-0.329874\pi\)
−0.490558 + 0.871408i \(0.663207\pi\)
\(312\) 2.13245 + 7.71379i 0.120726 + 0.436708i
\(313\) −22.5307 3.97277i −1.27351 0.224554i −0.504287 0.863536i \(-0.668245\pi\)
−0.769222 + 0.638982i \(0.779356\pi\)
\(314\) −4.27268 4.25021i −0.241122 0.239853i
\(315\) 14.9346 14.6244i 0.841472 0.823992i
\(316\) −22.3255 3.81531i −1.25591 0.214628i
\(317\) −21.8398 18.3258i −1.22665 1.02928i −0.998450 0.0556648i \(-0.982272\pi\)
−0.228198 0.973615i \(-0.573283\pi\)
\(318\) 0.0635521 0.0447499i 0.00356383 0.00250945i
\(319\) 0.363922 0.132457i 0.0203757 0.00741616i
\(320\) −7.64626 16.1720i −0.427439 0.904044i
\(321\) −0.970401 5.50342i −0.0541625 0.307171i
\(322\) −12.3092 8.57068i −0.685962 0.477625i
\(323\) 23.0851 3.44443i 1.28449 0.191653i
\(324\) 4.91457 + 13.2843i 0.273032 + 0.738015i
\(325\) −18.9682 23.5940i −1.05217 1.30876i
\(326\) 14.4204 1.29994i 0.798670 0.0719972i
\(327\) 0.433733 0.157866i 0.0239855 0.00873001i
\(328\) 6.29145 + 4.33156i 0.347387 + 0.239170i
\(329\) −29.1611 24.4691i −1.60770 1.34902i
\(330\) 0.116562 + 0.141151i 0.00641652 + 0.00777011i
\(331\) 9.80984 + 16.9911i 0.539198 + 0.933918i 0.998947 + 0.0458692i \(0.0146057\pi\)
−0.459750 + 0.888048i \(0.652061\pi\)
\(332\) −14.0522 + 2.55426i −0.771213 + 0.140183i
\(333\) −2.32143 + 13.1655i −0.127213 + 0.721463i
\(334\) −23.3274 1.97891i −1.27642 0.108281i
\(335\) 0.951134 3.40627i 0.0519660 0.186104i
\(336\) −0.0662589 6.28176i −0.00361472 0.342698i
\(337\) −8.99330 3.27329i −0.489896 0.178308i 0.0852479 0.996360i \(-0.472832\pi\)
−0.575144 + 0.818052i \(0.695054\pi\)
\(338\) −32.3411 8.57444i −1.75913 0.466388i
\(339\) −2.52512 3.00932i −0.137145 0.163444i
\(340\) −17.0212 + 16.8444i −0.923107 + 0.913516i
\(341\) 0.803528i 0.0435135i
\(342\) 13.8081 + 10.1663i 0.746656 + 0.549732i
\(343\) −9.09460 −0.491062
\(344\) −33.9261 2.69790i −1.82917 0.145461i
\(345\) 1.91986 2.68150i 0.103362 0.144367i
\(346\) 13.3147 + 3.53006i 0.715802 + 0.189777i
\(347\) −8.64421 3.14623i −0.464045 0.168899i 0.0994077 0.995047i \(-0.468305\pi\)
−0.563453 + 0.826148i \(0.690527\pi\)
\(348\) 0.984967 2.75123i 0.0527998 0.147482i
\(349\) −14.5699 + 25.2358i −0.779908 + 1.35084i 0.152086 + 0.988367i \(0.451401\pi\)
−0.931994 + 0.362473i \(0.881933\pi\)
\(350\) 9.64580 + 21.7174i 0.515590 + 1.16085i
\(351\) 16.1107 + 2.84075i 0.859924 + 0.151628i
\(352\) −0.698789 0.0518627i −0.0372456 0.00276429i
\(353\) 11.6342 6.71703i 0.619228 0.357512i −0.157340 0.987544i \(-0.550292\pi\)
0.776568 + 0.630033i \(0.216959\pi\)
\(354\) 1.22308 + 2.60496i 0.0650062 + 0.138452i
\(355\) 2.88607 6.02333i 0.153177 0.319685i
\(356\) 8.65175 0.0456274i 0.458542 0.00241824i
\(357\) −7.90253 + 2.87629i −0.418246 + 0.152229i
\(358\) 20.4600 1.84440i 1.08135 0.0974793i
\(359\) 31.1619 5.49469i 1.64466 0.289998i 0.726786 0.686864i \(-0.241013\pi\)
0.917877 + 0.396866i \(0.129902\pi\)
\(360\) −17.5923 0.0454730i −0.927197 0.00239664i
\(361\) 18.9735 + 1.00348i 0.998604 + 0.0528147i
\(362\) 17.3482 24.9154i 0.911801 1.30952i
\(363\) −5.05549 + 0.891420i −0.265345 + 0.0467874i
\(364\) 35.3495 + 20.1612i 1.85282 + 1.05674i
\(365\) −11.8481 + 8.11216i −0.620158 + 0.424610i
\(366\) 3.96863 2.79449i 0.207444 0.146070i
\(367\) 3.00569 + 2.52207i 0.156896 + 0.131651i 0.717856 0.696192i \(-0.245124\pi\)
−0.560960 + 0.827843i \(0.689568\pi\)
\(368\) 2.32310 + 12.4082i 0.121100 + 0.646822i
\(369\) 6.50551 3.75596i 0.338663 0.195527i
\(370\) −13.1018 7.70226i −0.681132 0.400422i
\(371\) 0.0686307 0.389224i 0.00356313 0.0202075i
\(372\) −4.66507 3.87272i −0.241873 0.200791i
\(373\) 0.240112 0.415886i 0.0124325 0.0215337i −0.859742 0.510728i \(-0.829376\pi\)
0.872175 + 0.489194i \(0.162709\pi\)
\(374\) 0.245167 + 0.905418i 0.0126773 + 0.0468181i
\(375\) −4.80257 + 2.05798i −0.248003 + 0.106274i
\(376\) 3.04475 + 31.8937i 0.157021 + 1.64479i
\(377\) 12.1679 + 14.5011i 0.626678 + 0.746846i
\(378\) −11.6524 5.39625i −0.599336 0.277553i
\(379\) 12.0512 0.619030 0.309515 0.950895i \(-0.399833\pi\)
0.309515 + 0.950895i \(0.399833\pi\)
\(380\) −16.3139 + 10.6703i −0.836888 + 0.547375i
\(381\) −8.93391 −0.457698
\(382\) −18.7262 8.67213i −0.958116 0.443705i
\(383\) −5.15486 6.14332i −0.263401 0.313909i 0.618092 0.786105i \(-0.287906\pi\)
−0.881493 + 0.472196i \(0.843461\pi\)
\(384\) −3.66902 + 3.80703i −0.187234 + 0.194276i
\(385\) 0.926381 + 0.0908543i 0.0472127 + 0.00463037i
\(386\) −0.903217 3.33564i −0.0459725 0.169780i
\(387\) −16.7349 + 28.9857i −0.850682 + 1.47343i
\(388\) 14.0097 16.8760i 0.711233 0.856749i
\(389\) 0.0952729 0.540320i 0.00483053 0.0273953i −0.982297 0.187329i \(-0.940017\pi\)
0.987128 + 0.159934i \(0.0511281\pi\)
\(390\) −4.53464 + 7.71359i −0.229620 + 0.390593i
\(391\) 14.6351 8.44958i 0.740129 0.427313i
\(392\) −8.65521 8.51935i −0.437154 0.430292i
\(393\) 2.21506 + 1.85866i 0.111735 + 0.0937568i
\(394\) −27.7574 + 19.5452i −1.39840 + 0.984674i
\(395\) −14.3059 20.8943i −0.719810 1.05131i
\(396\) −0.341403 + 0.598595i −0.0171561 + 0.0300805i
\(397\) −12.2046 + 2.15200i −0.612532 + 0.108006i −0.471303 0.881971i \(-0.656216\pi\)
−0.141228 + 0.989977i \(0.545105\pi\)
\(398\) −0.382089 + 0.548754i −0.0191524 + 0.0275066i
\(399\) −6.77081 + 1.01025i −0.338965 + 0.0505756i
\(400\) 7.03630 18.7214i 0.351815 0.936070i
\(401\) 25.1953 4.44261i 1.25819 0.221853i 0.495496 0.868610i \(-0.334986\pi\)
0.762696 + 0.646757i \(0.223875\pi\)
\(402\) −1.04107 + 0.0938488i −0.0519239 + 0.00468075i
\(403\) 36.9072 13.4331i 1.83848 0.669152i
\(404\) −0.111152 21.0765i −0.00553004 1.04859i
\(405\) −6.84287 + 14.2813i −0.340025 + 0.709644i
\(406\) −6.31523 13.4503i −0.313420 0.667529i
\(407\) −0.515566 + 0.297662i −0.0255557 + 0.0147546i
\(408\) 6.43824 + 2.94042i 0.318740 + 0.145573i
\(409\) 24.2784 + 4.28093i 1.20049 + 0.211679i 0.737910 0.674899i \(-0.235813\pi\)
0.462579 + 0.886578i \(0.346924\pi\)
\(410\) 1.41681 + 8.42161i 0.0699713 + 0.415914i
\(411\) 0.882597 1.52870i 0.0435353 0.0754053i
\(412\) −24.3976 8.73457i −1.20198 0.430321i
\(413\) 13.7507 + 5.00485i 0.676629 + 0.246273i
\(414\) 12.0002 + 3.18155i 0.589778 + 0.156365i
\(415\) −12.9836 9.29578i −0.637338 0.456312i
\(416\) −9.30001 32.9634i −0.455970 1.61617i
\(417\) −3.14950 −0.154232
\(418\) 0.0484424 + 0.762043i 0.00236940 + 0.0372728i
\(419\) 7.31772i 0.357494i 0.983895 + 0.178747i \(0.0572044\pi\)
−0.983895 + 0.178747i \(0.942796\pi\)
\(420\) 4.99231 4.94044i 0.243600 0.241069i
\(421\) −12.4412 14.8269i −0.606348 0.722618i 0.372311 0.928108i \(-0.378566\pi\)
−0.978659 + 0.205490i \(0.934121\pi\)
\(422\) 10.0369 + 2.66104i 0.488590 + 0.129537i
\(423\) 29.6081 + 10.7765i 1.43960 + 0.523970i
\(424\) −0.270965 + 0.192944i −0.0131592 + 0.00937017i
\(425\) −26.7676 0.561956i −1.29842 0.0272589i
\(426\) −1.96705 0.166869i −0.0953036 0.00808482i
\(427\) 4.28577 24.3058i 0.207403 1.17624i
\(428\) 4.27709 + 23.5303i 0.206741 + 1.13738i
\(429\) 0.175246 + 0.303535i 0.00846095 + 0.0146548i
\(430\) −24.2284 29.3395i −1.16840 1.41488i
\(431\) 17.1074 + 14.3548i 0.824032 + 0.691445i 0.953913 0.300085i \(-0.0970149\pi\)
−0.129880 + 0.991530i \(0.541459\pi\)
\(432\) 3.80337 + 10.1164i 0.182990 + 0.486724i
\(433\) 19.6537 7.15338i 0.944499 0.343769i 0.176558 0.984290i \(-0.443504\pi\)
0.767941 + 0.640521i \(0.221282\pi\)
\(434\) −30.7054 + 2.76798i −1.47390 + 0.132867i
\(435\) 2.97538 1.34961i 0.142658 0.0647087i
\(436\) −1.85262 + 0.685384i −0.0887244 + 0.0328240i
\(437\) 13.0466 4.36186i 0.624104 0.208656i
\(438\) 3.48296 + 2.42513i 0.166422 + 0.115877i
\(439\) 3.98417 + 22.5954i 0.190154 + 1.07842i 0.919152 + 0.393903i \(0.128875\pi\)
−0.728998 + 0.684516i \(0.760014\pi\)
\(440\) −0.502019 0.601433i −0.0239328 0.0286722i
\(441\) −11.2233 + 4.08494i −0.534442 + 0.194521i
\(442\) −37.4886 + 26.3974i −1.78315 + 1.25560i
\(443\) −1.68095 1.41048i −0.0798641 0.0670139i 0.601982 0.798510i \(-0.294378\pi\)
−0.681846 + 0.731496i \(0.738822\pi\)
\(444\) −0.756698 + 4.42787i −0.0359113 + 0.210137i
\(445\) 6.76774 + 6.91131i 0.320822 + 0.327628i
\(446\) −10.3260 10.2717i −0.488952 0.486381i
\(447\) 7.54998 + 1.33127i 0.357102 + 0.0629667i
\(448\) 0.425334 + 26.8816i 0.0200951 + 1.27004i
\(449\) 7.27665 + 4.20118i 0.343406 + 0.198266i 0.661777 0.749700i \(-0.269802\pi\)
−0.318371 + 0.947966i \(0.603136\pi\)
\(450\) −13.6504 14.1609i −0.643486 0.667552i
\(451\) 0.314344 + 0.114412i 0.0148019 + 0.00538744i
\(452\) 10.8743 + 12.8215i 0.511483 + 0.603074i
\(453\) −3.76178 4.48311i −0.176744 0.210635i
\(454\) −12.0858 5.59693i −0.567213 0.262677i
\(455\) 11.3139 + 44.0689i 0.530403 + 2.06598i
\(456\) 4.65770 + 3.39154i 0.218117 + 0.158823i
\(457\) 5.17318i 0.241991i −0.992653 0.120996i \(-0.961391\pi\)
0.992653 0.120996i \(-0.0386087\pi\)
\(458\) 6.99638 15.1077i 0.326919 0.705935i
\(459\) 11.0831 9.29986i 0.517317 0.434081i
\(460\) −8.15561 + 11.5189i −0.380257 + 0.537073i
\(461\) −33.6010 12.2297i −1.56495 0.569596i −0.593088 0.805137i \(-0.702091\pi\)
−0.971864 + 0.235541i \(0.924314\pi\)
\(462\) −0.0719071 0.265558i −0.00334542 0.0123549i
\(463\) −12.9520 + 22.4334i −0.601928 + 1.04257i 0.390601 + 0.920560i \(0.372267\pi\)
−0.992529 + 0.122010i \(0.961066\pi\)
\(464\) −4.15312 + 11.7963i −0.192804 + 0.547628i
\(465\) −0.519899 6.75876i −0.0241097 0.313430i
\(466\) 0.425666 + 0.423427i 0.0197186 + 0.0196149i
\(467\) −6.29519 10.9036i −0.291306 0.504558i 0.682812 0.730594i \(-0.260757\pi\)
−0.974119 + 0.226036i \(0.927423\pi\)
\(468\) −33.2019 5.67401i −1.53476 0.262281i
\(469\) −3.41652 + 4.07165i −0.157760 + 0.188012i
\(470\) −23.2398 + 27.2582i −1.07197 + 1.25733i
\(471\) −1.87142 + 0.681140i −0.0862303 + 0.0313853i
\(472\) −5.29304 11.1204i −0.243632 0.511860i
\(473\) −1.46782 + 0.258817i −0.0674905 + 0.0119004i
\(474\) −4.27676 + 6.14225i −0.196438 + 0.282123i
\(475\) −21.2599 4.79753i −0.975472 0.220126i
\(476\) 33.7544 12.4876i 1.54713 0.572367i
\(477\) 0.0568059 + 0.322163i 0.00260097 + 0.0147508i
\(478\) −3.82155 42.3928i −0.174794 1.93900i
\(479\) 9.04170 + 24.8419i 0.413126 + 1.13505i 0.955519 + 0.294929i \(0.0952961\pi\)
−0.542393 + 0.840125i \(0.682482\pi\)
\(480\) −5.91132 + 0.0158950i −0.269813 + 0.000725506i
\(481\) −22.2912 18.7045i −1.01639 0.852852i
\(482\) 4.83464 + 10.2969i 0.220212 + 0.469013i
\(483\) −4.29245 + 2.47825i −0.195313 + 0.112764i
\(484\) 21.6151 3.92898i 0.982506 0.178590i
\(485\) 24.4500 1.88075i 1.11022 0.0854003i
\(486\) 16.0861 + 1.36462i 0.729682 + 0.0619006i
\(487\) 12.9509 + 7.47722i 0.586862 + 0.338825i 0.763856 0.645387i \(-0.223304\pi\)
−0.176994 + 0.984212i \(0.556637\pi\)
\(488\) −16.9209 + 12.0487i −0.765972 + 0.545420i
\(489\) 1.63643 4.49604i 0.0740017 0.203318i
\(490\) 0.106703 13.5777i 0.00482035 0.613377i
\(491\) −14.1447 16.8570i −0.638341 0.760745i 0.345767 0.938321i \(-0.387619\pi\)
−0.984107 + 0.177576i \(0.943174\pi\)
\(492\) 2.17927 1.27357i 0.0982492 0.0574172i
\(493\) 16.7415 0.753999
\(494\) −34.1920 + 14.9647i −1.53837 + 0.673291i
\(495\) −0.746248 + 0.191585i −0.0335413 + 0.00861111i
\(496\) 20.0518 + 16.4682i 0.900353 + 0.739445i
\(497\) −7.68961 + 6.45235i −0.344926 + 0.289427i
\(498\) −1.20952 + 4.56207i −0.0541998 + 0.204431i
\(499\) −10.3844 + 28.5310i −0.464870 + 1.27722i 0.456912 + 0.889512i \(0.348956\pi\)
−0.921782 + 0.387709i \(0.873267\pi\)
\(500\) 20.5064 8.91563i 0.917073 0.398719i
\(501\) −3.86815 + 6.69984i −0.172816 + 0.299327i
\(502\) −5.80219 0.492213i −0.258964 0.0219685i
\(503\) −2.58938 + 14.6851i −0.115455 + 0.654778i 0.871069 + 0.491161i \(0.163427\pi\)
−0.986524 + 0.163617i \(0.947684\pi\)
\(504\) 24.0503 + 10.9841i 1.07129 + 0.489269i
\(505\) 16.8366 16.4868i 0.749218 0.733654i
\(506\) 0.234965 + 0.500435i 0.0104455 + 0.0222471i
\(507\) −7.10697 + 8.46975i −0.315632 + 0.376155i
\(508\) 38.2331 0.201633i 1.69632 0.00894601i
\(509\) 1.62332 + 4.46003i 0.0719524 + 0.197688i 0.970456 0.241279i \(-0.0775669\pi\)
−0.898503 + 0.438967i \(0.855345\pi\)
\(510\) 2.64801 + 7.45717i 0.117256 + 0.330209i
\(511\) 21.2527 3.74742i 0.940164 0.165776i
\(512\) 15.6158 16.3752i 0.690128 0.723687i
\(513\) 10.3516 5.61722i 0.457032 0.248006i
\(514\) 9.31926 + 6.48886i 0.411055 + 0.286211i
\(515\) −11.9681 26.3853i −0.527380 1.16267i
\(516\) −5.57176 + 9.76919i −0.245283 + 0.430065i
\(517\) 0.479894 + 1.31850i 0.0211057 + 0.0579875i
\(518\) 13.1506 + 18.6761i 0.577806 + 0.820579i
\(519\) 2.92591 3.48696i 0.128433 0.153060i
\(520\) 19.2321 33.1130i 0.843384 1.45210i
\(521\) 30.2443 17.4615i 1.32502 0.765004i 0.340499 0.940245i \(-0.389404\pi\)
0.984526 + 0.175241i \(0.0560705\pi\)
\(522\) 8.71959 + 8.67372i 0.381646 + 0.379639i
\(523\) −38.8181 6.84468i −1.69740 0.299297i −0.760613 0.649205i \(-0.775102\pi\)
−0.936784 + 0.349908i \(0.886213\pi\)
\(524\) −9.52141 7.90422i −0.415945 0.345297i
\(525\) 7.85090 + 0.164821i 0.342641 + 0.00719337i
\(526\) −2.30125 8.49867i −0.100339 0.370560i
\(527\) 11.8802 32.6406i 0.517510 1.42185i
\(528\) −0.113655 + 0.201740i −0.00494619 + 0.00877962i
\(529\) −9.98922 + 8.38195i −0.434314 + 0.364433i
\(530\) −0.365733 0.0674563i −0.0158864 0.00293012i
\(531\) −12.1120 −0.525615
\(532\) 28.9532 4.47621i 1.25528 0.194068i
\(533\) 16.3510i 0.708241i
\(534\) 1.20145 2.59435i 0.0519917 0.112268i
\(535\) −15.5657 + 21.7409i −0.672965 + 0.939941i
\(536\) 4.45320 0.425127i 0.192349 0.0183627i
\(537\) 2.32181 6.37911i 0.100193 0.275279i
\(538\) 33.7005 9.12532i 1.45293 0.393421i
\(539\) −0.460610 0.265933i −0.0198399 0.0114546i
\(540\) −5.16378 + 10.9245i −0.222214 + 0.470114i
\(541\) 1.29084 7.32072i 0.0554976 0.314742i −0.944404 0.328788i \(-0.893360\pi\)
0.999901 + 0.0140456i \(0.00447099\pi\)
\(542\) 18.2520 + 18.1560i 0.783990 + 0.779866i
\(543\) −5.01630 8.68849i −0.215270 0.372859i
\(544\) −27.6191 12.4384i −1.18416 0.533291i
\(545\) −1.99167 0.954305i −0.0853137 0.0408779i
\(546\) 10.9954 7.74232i 0.470558 0.331341i
\(547\) 11.5905 + 31.8446i 0.495573 + 1.36158i 0.895513 + 0.445034i \(0.146809\pi\)
−0.399941 + 0.916541i \(0.630969\pi\)
\(548\) −3.74262 + 6.56208i −0.159877 + 0.280318i
\(549\) 3.54735 + 20.1180i 0.151397 + 0.858617i
\(550\) 0.0923397 0.871007i 0.00393738 0.0371399i
\(551\) 13.3539 + 2.72021i 0.568894 + 0.115885i
\(552\) 4.03785 + 1.04778i 0.171862 + 0.0445963i
\(553\) 6.60865 + 37.4795i 0.281028 + 1.59379i
\(554\) 0.591731 + 6.56412i 0.0251402 + 0.278883i
\(555\) −4.14402 + 2.83732i −0.175904 + 0.120438i
\(556\) 13.4785 0.0710824i 0.571614 0.00301456i
\(557\) 7.87765 9.38822i 0.333787 0.397792i −0.572880 0.819639i \(-0.694174\pi\)
0.906667 + 0.421848i \(0.138618\pi\)
\(558\) 23.0987 10.8453i 0.977844 0.459119i
\(559\) −36.4264 63.0924i −1.54067 2.66853i
\(560\) −21.2533 + 21.2555i −0.898117 + 0.898210i
\(561\) 0.305264 + 0.0538263i 0.0128883 + 0.00227255i
\(562\) 28.7204 + 2.43642i 1.21150 + 0.102774i
\(563\) 3.27238 + 1.88931i 0.137915 + 0.0796250i 0.567370 0.823463i \(-0.307961\pi\)
−0.429455 + 0.903088i \(0.641294\pi\)
\(564\) 9.96779 + 3.56856i 0.419720 + 0.150263i
\(565\) −1.83464 + 18.7066i −0.0771838 + 0.786992i
\(566\) 17.1131 + 4.53711i 0.719318 + 0.190709i
\(567\) 18.2321 15.2985i 0.765675 0.642477i
\(568\) 8.42184 + 0.669729i 0.353372 + 0.0281012i
\(569\) 5.11343i 0.214366i 0.994239 + 0.107183i \(0.0341831\pi\)
−0.994239 + 0.107183i \(0.965817\pi\)
\(570\) 0.900524 + 6.37847i 0.0377188 + 0.267165i
\(571\) 15.0942i 0.631673i −0.948814 0.315836i \(-0.897715\pi\)
0.948814 0.315836i \(-0.102285\pi\)
\(572\) −0.756825 1.29504i −0.0316444 0.0541483i
\(573\) −5.22404 + 4.38349i −0.218237 + 0.183123i
\(574\) 3.28920 12.4062i 0.137288 0.517825i
\(575\) −15.5941 + 2.41334i −0.650319 + 0.100643i
\(576\) −7.94077 20.7878i −0.330866 0.866157i
\(577\) −31.4897 18.1806i −1.31093 0.756867i −0.328681 0.944441i \(-0.606604\pi\)
−0.982250 + 0.187574i \(0.939938\pi\)
\(578\) −1.39539 + 16.4488i −0.0580405 + 0.684180i
\(579\) −1.12462 0.198301i −0.0467377 0.00824112i
\(580\) −12.7028 + 5.84286i −0.527456 + 0.242612i
\(581\) 11.9995 + 20.7837i 0.497821 + 0.862252i
\(582\) −3.08042 6.56077i −0.127688 0.271953i
\(583\) −0.00936397 + 0.0111595i −0.000387816 + 0.000462181i
\(584\) −14.9602 10.2999i −0.619058 0.426211i
\(585\) −21.2753 31.0734i −0.879627 1.28473i
\(586\) −3.12455 + 0.281667i −0.129074 + 0.0116355i
\(587\) −8.00064 45.3739i −0.330222 1.87278i −0.470100 0.882613i \(-0.655782\pi\)
0.139878 0.990169i \(-0.455329\pi\)
\(588\) −3.76392 + 1.39248i −0.155221 + 0.0574248i
\(589\) 14.7798 24.1055i 0.608992 0.993249i
\(590\) 4.81100 12.9017i 0.198066 0.531156i
\(591\) 1.94805 + 11.0479i 0.0801319 + 0.454451i
\(592\) 3.13839 18.9664i 0.128987 0.779513i
\(593\) 12.5909 + 34.5933i 0.517047 + 1.42058i 0.873758 + 0.486361i \(0.161676\pi\)
−0.356711 + 0.934215i \(0.616102\pi\)
\(594\) 0.272505 + 0.387002i 0.0111810 + 0.0158789i
\(595\) 36.2878 + 17.3873i 1.48766 + 0.712808i
\(596\) −32.3406 5.52682i −1.32472 0.226387i
\(597\) 0.110483 + 0.191362i 0.00452176 + 0.00783192i
\(598\) −19.0577 + 19.1585i −0.779326 + 0.783447i
\(599\) 0.850222 4.82185i 0.0347391 0.197015i −0.962499 0.271285i \(-0.912551\pi\)
0.997238 + 0.0742695i \(0.0236625\pi\)
\(600\) −4.61180 4.73405i −0.188276 0.193267i
\(601\) 1.65208 + 0.953830i 0.0673899 + 0.0389076i 0.533316 0.845916i \(-0.320946\pi\)
−0.465926 + 0.884823i \(0.654279\pi\)
\(602\) 14.9465 + 55.1986i 0.609175 + 2.24973i
\(603\) 1.50468 4.13407i 0.0612753 0.168352i
\(604\) 16.1999 + 19.1008i 0.659165 + 0.777201i
\(605\) 19.9714 + 14.2988i 0.811953 + 0.581330i
\(606\) −6.32007 2.92683i −0.256735 0.118895i
\(607\) 16.1506i 0.655533i −0.944759 0.327767i \(-0.893704\pi\)
0.944759 0.327767i \(-0.106296\pi\)
\(608\) −20.0094 14.4091i −0.811489 0.584368i
\(609\) −4.91026 −0.198974
\(610\) −22.8389 4.21244i −0.924720 0.170557i
\(611\) −52.5379 + 44.0846i −2.12546 + 1.78347i
\(612\) −22.7186 + 19.2683i −0.918346 + 0.778873i
\(613\) 9.84341 27.0446i 0.397572 1.09232i −0.565892 0.824480i \(-0.691468\pi\)
0.963463 0.267840i \(-0.0863098\pi\)
\(614\) 13.7687 3.72825i 0.555660 0.150460i
\(615\) 2.71809 + 0.758972i 0.109604 + 0.0306047i
\(616\) 0.313723 + 1.13485i 0.0126403 + 0.0457242i
\(617\) 7.05674 + 1.24429i 0.284094 + 0.0500934i 0.313879 0.949463i \(-0.398371\pi\)
−0.0297856 + 0.999556i \(0.509482\pi\)
\(618\) −6.03924 + 6.07117i −0.242934 + 0.244218i
\(619\) 18.0822 10.4398i 0.726787 0.419610i −0.0904588 0.995900i \(-0.528833\pi\)
0.817245 + 0.576290i \(0.195500\pi\)
\(620\) 2.37747 + 28.9127i 0.0954817 + 1.16116i
\(621\) 5.48114 6.53217i 0.219951 0.262127i
\(622\) −0.443251 + 0.312113i −0.0177728 + 0.0125146i
\(623\) −4.97223 13.6611i −0.199208 0.547320i
\(624\) −11.1663 1.84770i −0.447009 0.0739672i
\(625\) 23.1128 + 9.52892i 0.924510 + 0.381157i
\(626\) 18.4880 26.5523i 0.738927 1.06124i
\(627\) 0.234749 + 0.0925349i 0.00937496 + 0.00369549i
\(628\) 7.99345 2.95721i 0.318973 0.118005i
\(629\) −25.3441 + 4.46885i −1.01054 + 0.178185i
\(630\) 9.89174 + 27.8565i 0.394096 + 1.10983i
\(631\) 7.09703 + 19.4989i 0.282528 + 0.776240i 0.997059 + 0.0766361i \(0.0244180\pi\)
−0.714531 + 0.699604i \(0.753360\pi\)
\(632\) 18.1640 26.3826i 0.722525 1.04944i
\(633\) 2.20561 2.62855i 0.0876653 0.104475i
\(634\) 36.4964 17.1359i 1.44946 0.680552i
\(635\) 29.9075 + 30.5419i 1.18684 + 1.21202i
\(636\) 0.0196584 + 0.108150i 0.000779505 + 0.00428842i
\(637\) 4.51438 25.6023i 0.178866 1.01440i
\(638\) −0.0462958 + 0.545733i −0.00183287 + 0.0216058i
\(639\) 4.15428 7.19542i 0.164341 0.284646i
\(640\) 25.2974 0.201438i 0.999968 0.00796255i
\(641\) −7.23199 + 19.8697i −0.285647 + 0.784808i 0.711016 + 0.703176i \(0.248235\pi\)
−0.996663 + 0.0816317i \(0.973987\pi\)
\(642\) 7.63915 + 2.02533i 0.301493 + 0.0799334i
\(643\) −10.6935 + 8.97290i −0.421710 + 0.353856i −0.828813 0.559526i \(-0.810983\pi\)
0.407103 + 0.913382i \(0.366539\pi\)
\(644\) 18.3138 10.7027i 0.721666 0.421744i
\(645\) −12.1789 + 3.12671i −0.479544 + 0.123114i
\(646\) −9.29905 + 31.6717i −0.365866 + 1.24611i
\(647\) 13.2331 0.520246 0.260123 0.965576i \(-0.416237\pi\)
0.260123 + 0.965576i \(0.416237\pi\)
\(648\) −19.9682 1.58793i −0.784424 0.0623797i
\(649\) −0.346698 0.413178i −0.0136091 0.0162187i
\(650\) 41.5504 10.3199i 1.62974 0.404781i
\(651\) −3.48445 + 9.57344i −0.136566 + 0.375213i
\(652\) −6.90169 + 19.2780i −0.270291 + 0.754984i
\(653\) −10.2474 5.91634i −0.401012 0.231524i 0.285908 0.958257i \(-0.407705\pi\)
−0.686921 + 0.726732i \(0.741038\pi\)
\(654\) −0.0551767 + 0.650421i −0.00215758 + 0.0254335i
\(655\) −1.06111 13.7946i −0.0414611 0.539000i
\(656\) −9.29757 + 5.49951i −0.363009 + 0.214720i
\(657\) −15.4692 + 8.93116i −0.603512 + 0.348438i
\(658\) 48.7309 22.8802i 1.89973 0.891965i
\(659\) −7.77585 6.52471i −0.302904 0.254167i 0.478648 0.878007i \(-0.341127\pi\)
−0.781552 + 0.623840i \(0.785572\pi\)
\(660\) −0.250409 + 0.0656973i −0.00974715 + 0.00255726i
\(661\) 1.60132 + 4.39958i 0.0622840 + 0.171124i 0.966931 0.255038i \(-0.0820878\pi\)
−0.904647 + 0.426161i \(0.859866\pi\)
\(662\) −27.6344 + 2.49114i −1.07404 + 0.0968208i
\(663\) 2.63099 + 14.9211i 0.102179 + 0.579488i
\(664\) 5.07323 19.5509i 0.196880 0.758722i
\(665\) 26.1199 + 19.7651i 1.01289 + 0.766459i
\(666\) −15.5154 10.8032i −0.601211 0.418614i
\(667\) 9.71718 1.71340i 0.376251 0.0663431i
\(668\) 16.4027 28.7596i 0.634641 1.11274i
\(669\) −4.52276 + 1.64615i −0.174860 + 0.0636438i
\(670\) 3.80596 + 3.24489i 0.147037 + 0.125361i
\(671\) −0.584750 + 0.696878i −0.0225740 + 0.0269027i
\(672\) 8.10066 + 3.64816i 0.312490 + 0.140731i
\(673\) 9.59635 + 16.6214i 0.369912 + 0.640706i 0.989551 0.144180i \(-0.0460545\pi\)
−0.619639 + 0.784887i \(0.712721\pi\)
\(674\) 9.54520 9.59567i 0.367667 0.369611i
\(675\) −12.7891 + 4.35309i −0.492253 + 0.167551i
\(676\) 30.2235 36.4071i 1.16244 1.40027i
\(677\) −14.3635 + 24.8783i −0.552034 + 0.956150i 0.446094 + 0.894986i \(0.352815\pi\)
−0.998128 + 0.0611642i \(0.980519\pi\)
\(678\) 5.36246 1.45203i 0.205944 0.0557650i
\(679\) −34.6322 12.6051i −1.32906 0.483738i
\(680\) −11.5006 31.8536i −0.441028 1.22153i
\(681\) −3.37156 + 2.82907i −0.129198 + 0.108410i
\(682\) 1.03115 + 0.477529i 0.0394849 + 0.0182855i
\(683\) 19.2351i 0.736010i 0.929824 + 0.368005i \(0.119959\pi\)
−0.929824 + 0.368005i \(0.880041\pi\)
\(684\) −21.2523 + 11.6780i −0.812602 + 0.446518i
\(685\) −8.18071 + 2.10025i −0.312569 + 0.0802463i
\(686\) 5.40484 11.6710i 0.206358 0.445599i
\(687\) −3.53645 4.21458i −0.134924 0.160796i
\(688\) 23.6242 41.9335i 0.900663 1.59870i
\(689\) −0.669119 0.243539i −0.0254914 0.00927811i
\(690\) 2.30017 + 4.05731i 0.0875660 + 0.154459i
\(691\) 28.8741 + 16.6705i 1.09842 + 0.634175i 0.935807 0.352514i \(-0.114673\pi\)
0.162617 + 0.986689i \(0.448006\pi\)
\(692\) −12.4429 + 14.9887i −0.473007 + 0.569783i
\(693\) 1.14033 + 0.201070i 0.0433174 + 0.00763803i
\(694\) 9.17468 9.22320i 0.348266 0.350108i
\(695\) 10.5434 + 10.7671i 0.399934 + 0.408418i
\(696\) 2.94526 + 2.89902i 0.111640 + 0.109887i
\(697\) 11.0776 + 9.29520i 0.419593 + 0.352081i
\(698\) −23.7259 33.6947i −0.898040 1.27536i
\(699\) 0.186440 0.0678585i 0.00705179 0.00256664i
\(700\) −33.6021 0.528169i −1.27004 0.0199629i
\(701\) 2.17829 + 12.3537i 0.0822728 + 0.466592i 0.997912 + 0.0645908i \(0.0205742\pi\)
−0.915639 + 0.402001i \(0.868315\pi\)
\(702\) −13.2199 + 18.9864i −0.498954 + 0.716594i
\(703\) −20.9419 0.553405i −0.789837 0.0208721i
\(704\) 0.481838 0.865923i 0.0181600 0.0326357i
\(705\) 4.88966 + 10.7799i 0.184155 + 0.405993i
\(706\) 1.70574 + 18.9219i 0.0641964 + 0.712136i
\(707\) −33.2797 + 12.1128i −1.25161 + 0.455549i
\(708\) −4.06977 + 0.0214630i −0.152951 + 0.000806630i
\(709\) 1.97546 + 1.65761i 0.0741900 + 0.0622528i 0.679129 0.734019i \(-0.262358\pi\)
−0.604939 + 0.796272i \(0.706802\pi\)
\(710\) 6.01448 + 7.28326i 0.225719 + 0.273336i
\(711\) −15.7503 27.2803i −0.590681 1.02309i
\(712\) −5.08310 + 11.1298i −0.190497 + 0.417106i
\(713\) 3.55498 20.1613i 0.133135 0.755046i
\(714\) 1.00531 11.8505i 0.0376227 0.443496i
\(715\) 0.451021 1.61523i 0.0168672 0.0604061i
\(716\) −9.79231 + 27.3521i −0.365956 + 1.02220i
\(717\) −13.2174 4.81074i −0.493613 0.179660i
\(718\) −11.4680 + 43.2550i −0.427982 + 1.61426i
\(719\) −25.1654 29.9910i −0.938512 1.11848i −0.992780 0.119949i \(-0.961727\pi\)
0.0542677 0.998526i \(-0.482718\pi\)
\(720\) 10.5133 22.5489i 0.391808 0.840349i
\(721\) 43.5436i 1.62165i
\(722\) −12.5635 + 23.7520i −0.467566 + 0.883958i
\(723\) 3.75906 0.139801
\(724\) 21.6636 + 37.0696i 0.805122 + 1.37768i
\(725\) −14.5743 5.65379i −0.541276 0.209976i
\(726\) 1.86049 7.01740i 0.0690492 0.260440i
\(727\) −11.4446 4.16549i −0.424456 0.154489i 0.120955 0.992658i \(-0.461404\pi\)
−0.545411 + 0.838169i \(0.683626\pi\)
\(728\) −46.8804 + 33.3818i −1.73751 + 1.23721i
\(729\) −7.95574 + 13.7798i −0.294657 + 0.510361i
\(730\) −3.36899 20.0255i −0.124692 0.741176i
\(731\) −63.4519 11.1883i −2.34685 0.413814i
\(732\) 1.22760 + 6.75362i 0.0453735 + 0.249621i
\(733\) 3.59670 2.07656i 0.132847 0.0766993i −0.432104 0.901824i \(-0.642229\pi\)
0.564951 + 0.825125i \(0.308895\pi\)
\(734\) −5.02279 + 2.35831i −0.185395 + 0.0870468i
\(735\) −4.04642 1.93884i −0.149254 0.0715150i
\(736\) −17.3038 4.39288i −0.637828 0.161924i
\(737\) 0.184097 0.0670058i 0.00678130 0.00246819i
\(738\) 0.953797 + 10.5805i 0.0351098 + 0.389475i
\(739\) −11.4880 + 2.02564i −0.422593 + 0.0745145i −0.380900 0.924616i \(-0.624386\pi\)
−0.0416921 + 0.999131i \(0.513275\pi\)
\(740\) 17.6705 12.2360i 0.649580 0.449804i
\(741\) −0.325812 + 12.3293i −0.0119690 + 0.452929i
\(742\) 0.458699 + 0.319385i 0.0168394 + 0.0117250i
\(743\) 30.8221 5.43476i 1.13075 0.199382i 0.423195 0.906039i \(-0.360908\pi\)
0.707557 + 0.706656i \(0.249797\pi\)
\(744\) 7.74221 3.68509i 0.283843 0.135102i
\(745\) −20.7234 30.2674i −0.759248 1.10891i
\(746\) 0.391003 + 0.555289i 0.0143157 + 0.0203306i
\(747\) −15.2167 12.7683i −0.556750 0.467169i
\(748\) −1.30761 0.223463i −0.0478109 0.00817062i
\(749\) 34.8021 20.0930i 1.27164 0.734182i
\(750\) 0.213143 7.38610i 0.00778288 0.269702i
\(751\) 4.62967 26.2561i 0.168939 0.958100i −0.775971 0.630769i \(-0.782740\pi\)
0.944910 0.327331i \(-0.106149\pi\)
\(752\) −42.7382 15.0469i −1.55850 0.548703i
\(753\) −0.962121 + 1.66644i −0.0350616 + 0.0607286i
\(754\) −25.8403 + 6.99697i −0.941049 + 0.254815i
\(755\) −2.73314 + 27.8680i −0.0994693 + 1.01422i
\(756\) 13.8499 11.7464i 0.503714 0.427213i
\(757\) 3.58939 + 4.27767i 0.130459 + 0.155474i 0.827319 0.561732i \(-0.189865\pi\)
−0.696861 + 0.717207i \(0.745420\pi\)
\(758\) −7.16193 + 15.4652i −0.260133 + 0.561720i
\(759\) 0.182692 0.00663129
\(760\) −3.99780 27.2767i −0.145015 0.989429i
\(761\) −13.6711 −0.495578 −0.247789 0.968814i \(-0.579704\pi\)
−0.247789 + 0.968814i \(0.579704\pi\)
\(762\) 5.30934 11.4647i 0.192337 0.415324i
\(763\) 2.13353 + 2.54264i 0.0772388 + 0.0920497i
\(764\) 22.2576 18.8773i 0.805252 0.682956i
\(765\) −33.1464 3.25082i −1.19841 0.117534i
\(766\) 10.9471 2.96423i 0.395535 0.107102i
\(767\) 13.1819 22.8318i 0.475972 0.824407i
\(768\) −2.70503 6.97087i −0.0976095