Properties

Label 672.2.cj.a.613.44
Level $672$
Weight $2$
Character 672.613
Analytic conductor $5.366$
Analytic rank $0$
Dimension $512$
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] = [672,2,Mod(37,672)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(672, base_ring=CyclotomicField(24))
 
chi = DirichletCharacter(H, H._module([0, 3, 0, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("672.37");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 672 = 2^{5} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 672.cj (of order \(24\), 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: \(5.36594701583\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(64\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 613.44
Character \(\chi\) \(=\) 672.613
Dual form 672.2.cj.a.205.44

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.650008 - 1.25598i) q^{2} +(-0.991445 - 0.130526i) q^{3} +(-1.15498 - 1.63280i) q^{4} +(0.130493 + 0.991194i) q^{5} +(-0.808386 + 1.16039i) q^{6} +(1.53235 + 2.15682i) q^{7} +(-2.80151 + 0.389300i) q^{8} +(0.965926 + 0.258819i) q^{9} +O(q^{10})\) \(q+(0.650008 - 1.25598i) q^{2} +(-0.991445 - 0.130526i) q^{3} +(-1.15498 - 1.63280i) q^{4} +(0.130493 + 0.991194i) q^{5} +(-0.808386 + 1.16039i) q^{6} +(1.53235 + 2.15682i) q^{7} +(-2.80151 + 0.389300i) q^{8} +(0.965926 + 0.258819i) q^{9} +(1.32974 + 0.480387i) q^{10} +(-3.37930 - 4.40399i) q^{11} +(0.931974 + 1.76958i) q^{12} +(-4.49314 + 1.86112i) q^{13} +(3.70497 - 0.522655i) q^{14} -0.999747i q^{15} +(-1.33205 + 3.77169i) q^{16} +(-6.28364 - 3.62786i) q^{17} +(0.952932 - 1.04495i) q^{18} +(-5.95893 - 4.57244i) q^{19} +(1.46770 - 1.35788i) q^{20} +(-1.23772 - 2.33838i) q^{21} +(-7.72791 + 1.38171i) q^{22} +(1.33131 + 0.356724i) q^{23} +(2.82835 - 0.0202988i) q^{24} +(3.86419 - 1.03541i) q^{25} +(-0.583047 + 6.85304i) q^{26} +(-0.923880 - 0.382683i) q^{27} +(1.75182 - 4.99311i) q^{28} +(0.795925 + 1.92153i) q^{29} +(-1.25566 - 0.649844i) q^{30} +(-2.44382 + 4.23282i) q^{31} +(3.87133 + 4.12466i) q^{32} +(2.77556 + 4.80740i) q^{33} +(-8.64095 + 5.53400i) q^{34} +(-1.93787 + 1.80031i) q^{35} +(-0.693024 - 1.87609i) q^{36} +(0.584621 + 4.44064i) q^{37} +(-9.61626 + 4.51217i) q^{38} +(4.69762 - 1.25872i) q^{39} +(-0.751449 - 2.72604i) q^{40} +(-4.06853 + 4.06853i) q^{41} +(-3.74150 + 0.0345876i) q^{42} +(3.44984 - 8.32866i) q^{43} +(-3.28780 + 10.6042i) q^{44} +(-0.130493 + 0.991194i) q^{45} +(1.31340 - 1.44023i) q^{46} +(6.96650 - 4.02211i) q^{47} +(1.81296 - 3.56555i) q^{48} +(-2.30378 + 6.61004i) q^{49} +(1.21131 - 5.52638i) q^{50} +(5.75635 + 4.41701i) q^{51} +(8.22831 + 5.18683i) q^{52} +(-2.32937 - 3.03569i) q^{53} +(-1.08117 + 0.911628i) q^{54} +(3.92423 - 3.92423i) q^{55} +(-5.13255 - 5.44581i) q^{56} +(5.31112 + 5.31112i) q^{57} +(2.93077 + 0.249346i) q^{58} +(1.95430 - 1.49959i) q^{59} +(-1.63238 + 1.15469i) q^{60} +(-5.77324 + 7.52383i) q^{61} +(3.72784 + 5.82075i) q^{62} +(0.921914 + 2.47993i) q^{63} +(7.69689 - 2.18125i) q^{64} +(-2.43105 - 4.21071i) q^{65} +(7.84214 - 0.361194i) q^{66} +(-5.38625 - 0.709113i) q^{67} +(1.33391 + 14.4500i) q^{68} +(-1.27336 - 0.527443i) q^{69} +(1.00153 + 3.60415i) q^{70} +(-8.81159 - 8.81159i) q^{71} +(-2.80681 - 0.349049i) q^{72} +(-0.433852 - 1.61916i) q^{73} +(5.95737 + 2.15218i) q^{74} +(-3.96628 + 0.522171i) q^{75} +(-0.583443 + 15.0108i) q^{76} +(4.32035 - 14.0370i) q^{77} +(1.47256 - 6.71831i) q^{78} +(1.06084 - 0.612474i) q^{79} +(-3.91230 - 0.828141i) q^{80} +(0.866025 + 0.500000i) q^{81} +(2.46542 + 7.75458i) q^{82} +(11.2277 - 4.65069i) q^{83} +(-2.38856 + 4.72173i) q^{84} +(2.77594 - 6.70172i) q^{85} +(-8.21821 - 9.74664i) q^{86} +(-0.538305 - 2.00898i) q^{87} +(11.1816 + 11.0223i) q^{88} +(1.19386 - 4.45554i) q^{89} +(1.16010 + 0.808181i) q^{90} +(-10.8992 - 6.83902i) q^{91} +(-0.955178 - 2.58577i) q^{92} +(2.97540 - 3.87762i) q^{93} +(-0.523412 - 11.3642i) q^{94} +(3.75458 - 6.50312i) q^{95} +(-3.29983 - 4.59468i) q^{96} +3.30978 q^{97} +(6.80461 + 7.19008i) q^{98} +(-2.12432 - 5.12856i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q+O(q^{10}) \) Copy content Toggle raw display \( 512 q - 64 q^{14} + 8 q^{16} + 8 q^{18} + 64 q^{20} + 16 q^{22} + 16 q^{23} - 40 q^{28} + 96 q^{31} + 48 q^{35} - 80 q^{38} + 64 q^{40} - 32 q^{43} - 8 q^{44} - 48 q^{50} + 24 q^{52} + 32 q^{53} - 32 q^{58} + 64 q^{59} - 48 q^{60} - 48 q^{64} + 48 q^{66} - 16 q^{67} + 72 q^{70} - 128 q^{71} - 144 q^{74} - 48 q^{78} + 24 q^{80} + 40 q^{82} - 88 q^{88} + 48 q^{91} + 128 q^{92} - 24 q^{94} - 40 q^{96} - 88 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(421\) \(449\) \(577\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{8}\right)\) \(1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.650008 1.25598i 0.459625 0.888113i
\(3\) −0.991445 0.130526i −0.572411 0.0753593i
\(4\) −1.15498 1.63280i −0.577489 0.816398i
\(5\) 0.130493 + 0.991194i 0.0583583 + 0.443275i 0.995533 + 0.0944148i \(0.0300980\pi\)
−0.937175 + 0.348861i \(0.886569\pi\)
\(6\) −0.808386 + 1.16039i −0.330022 + 0.473729i
\(7\) 1.53235 + 2.15682i 0.579176 + 0.815203i
\(8\) −2.80151 + 0.389300i −0.990483 + 0.137638i
\(9\) 0.965926 + 0.258819i 0.321975 + 0.0862730i
\(10\) 1.32974 + 0.480387i 0.420502 + 0.151912i
\(11\) −3.37930 4.40399i −1.01890 1.32785i −0.943742 0.330682i \(-0.892721\pi\)
−0.0751556 0.997172i \(-0.523945\pi\)
\(12\) 0.931974 + 1.76958i 0.269038 + 0.510835i
\(13\) −4.49314 + 1.86112i −1.24617 + 0.516182i −0.905639 0.424051i \(-0.860608\pi\)
−0.340534 + 0.940232i \(0.610608\pi\)
\(14\) 3.70497 0.522655i 0.990196 0.139685i
\(15\) 0.999747i 0.258134i
\(16\) −1.33205 + 3.77169i −0.333013 + 0.942922i
\(17\) −6.28364 3.62786i −1.52401 0.879886i −0.999596 0.0284209i \(-0.990952\pi\)
−0.524411 0.851465i \(-0.675715\pi\)
\(18\) 0.952932 1.04495i 0.224608 0.246297i
\(19\) −5.95893 4.57244i −1.36707 1.04899i −0.992558 0.121769i \(-0.961143\pi\)
−0.374513 0.927222i \(-0.622190\pi\)
\(20\) 1.46770 1.35788i 0.328188 0.303630i
\(21\) −1.23772 2.33838i −0.270093 0.510277i
\(22\) −7.72791 + 1.38171i −1.64760 + 0.294581i
\(23\) 1.33131 + 0.356724i 0.277598 + 0.0743820i 0.394932 0.918710i \(-0.370768\pi\)
−0.117334 + 0.993092i \(0.537435\pi\)
\(24\) 2.82835 0.0202988i 0.577335 0.00414348i
\(25\) 3.86419 1.03541i 0.772838 0.207081i
\(26\) −0.583047 + 6.85304i −0.114345 + 1.34399i
\(27\) −0.923880 0.382683i −0.177801 0.0736475i
\(28\) 1.75182 4.99311i 0.331063 0.943609i
\(29\) 0.795925 + 1.92153i 0.147800 + 0.356820i 0.980389 0.197070i \(-0.0631428\pi\)
−0.832590 + 0.553890i \(0.813143\pi\)
\(30\) −1.25566 0.649844i −0.229252 0.118645i
\(31\) −2.44382 + 4.23282i −0.438923 + 0.760236i −0.997607 0.0691444i \(-0.977973\pi\)
0.558684 + 0.829381i \(0.311306\pi\)
\(32\) 3.87133 + 4.12466i 0.684360 + 0.729144i
\(33\) 2.77556 + 4.80740i 0.483162 + 0.836861i
\(34\) −8.64095 + 5.53400i −1.48191 + 0.949073i
\(35\) −1.93787 + 1.80031i −0.327560 + 0.304308i
\(36\) −0.693024 1.87609i −0.115504 0.312682i
\(37\) 0.584621 + 4.44064i 0.0961111 + 0.730036i 0.969861 + 0.243660i \(0.0783482\pi\)
−0.873750 + 0.486376i \(0.838319\pi\)
\(38\) −9.61626 + 4.51217i −1.55996 + 0.731971i
\(39\) 4.69762 1.25872i 0.752222 0.201557i
\(40\) −0.751449 2.72604i −0.118815 0.431024i
\(41\) −4.06853 + 4.06853i −0.635398 + 0.635398i −0.949417 0.314019i \(-0.898324\pi\)
0.314019 + 0.949417i \(0.398324\pi\)
\(42\) −3.74150 + 0.0345876i −0.577326 + 0.00533698i
\(43\) 3.44984 8.32866i 0.526096 1.27011i −0.407966 0.912997i \(-0.633762\pi\)
0.934062 0.357111i \(-0.116238\pi\)
\(44\) −3.28780 + 10.6042i −0.495655 + 1.59865i
\(45\) −0.130493 + 0.991194i −0.0194528 + 0.147758i
\(46\) 1.31340 1.44023i 0.193651 0.212350i
\(47\) 6.96650 4.02211i 1.01617 0.586685i 0.103176 0.994663i \(-0.467099\pi\)
0.912992 + 0.407978i \(0.133766\pi\)
\(48\) 1.81296 3.56555i 0.261678 0.514643i
\(49\) −2.30378 + 6.61004i −0.329111 + 0.944291i
\(50\) 1.21131 5.52638i 0.171304 0.781548i
\(51\) 5.75635 + 4.41701i 0.806051 + 0.618505i
\(52\) 8.22831 + 5.18683i 1.14106 + 0.719284i
\(53\) −2.32937 3.03569i −0.319963 0.416984i 0.605486 0.795856i \(-0.292979\pi\)
−0.925449 + 0.378872i \(0.876312\pi\)
\(54\) −1.08117 + 0.911628i −0.147129 + 0.124057i
\(55\) 3.92423 3.92423i 0.529144 0.529144i
\(56\) −5.13255 5.44581i −0.685866 0.727728i
\(57\) 5.31112 + 5.31112i 0.703475 + 0.703475i
\(58\) 2.93077 + 0.249346i 0.384829 + 0.0327407i
\(59\) 1.95430 1.49959i 0.254428 0.195229i −0.473670 0.880702i \(-0.657071\pi\)
0.728098 + 0.685473i \(0.240404\pi\)
\(60\) −1.63238 + 1.15469i −0.210740 + 0.149069i
\(61\) −5.77324 + 7.52383i −0.739187 + 0.963328i −0.999998 0.00206243i \(-0.999344\pi\)
0.260811 + 0.965390i \(0.416010\pi\)
\(62\) 3.72784 + 5.82075i 0.473436 + 0.739237i
\(63\) 0.921914 + 2.47993i 0.116150 + 0.312442i
\(64\) 7.69689 2.18125i 0.962111 0.272656i
\(65\) −2.43105 4.21071i −0.301535 0.522274i
\(66\) 7.84214 0.361194i 0.965301 0.0444599i
\(67\) −5.38625 0.709113i −0.658035 0.0866319i −0.205888 0.978576i \(-0.566008\pi\)
−0.452147 + 0.891944i \(0.649342\pi\)
\(68\) 1.33391 + 14.4500i 0.161760 + 1.75232i
\(69\) −1.27336 0.527443i −0.153295 0.0634967i
\(70\) 1.00153 + 3.60415i 0.119705 + 0.430778i
\(71\) −8.81159 8.81159i −1.04574 1.04574i −0.998902 0.0468412i \(-0.985085\pi\)
−0.0468412 0.998902i \(-0.514915\pi\)
\(72\) −2.80681 0.349049i −0.330785 0.0411358i
\(73\) −0.433852 1.61916i −0.0507786 0.189508i 0.935878 0.352325i \(-0.114609\pi\)
−0.986656 + 0.162817i \(0.947942\pi\)
\(74\) 5.95737 + 2.15218i 0.692530 + 0.250186i
\(75\) −3.96628 + 0.522171i −0.457987 + 0.0602951i
\(76\) −0.583443 + 15.0108i −0.0669255 + 1.72186i
\(77\) 4.32035 14.0370i 0.492349 1.59967i
\(78\) 1.47256 6.71831i 0.166735 0.760699i
\(79\) 1.06084 0.612474i 0.119353 0.0689088i −0.439135 0.898421i \(-0.644715\pi\)
0.558488 + 0.829512i \(0.311382\pi\)
\(80\) −3.91230 0.828141i −0.437408 0.0925890i
\(81\) 0.866025 + 0.500000i 0.0962250 + 0.0555556i
\(82\) 2.46542 + 7.75458i 0.272260 + 0.856350i
\(83\) 11.2277 4.65069i 1.23241 0.510479i 0.331072 0.943605i \(-0.392590\pi\)
0.901333 + 0.433126i \(0.142590\pi\)
\(84\) −2.38856 + 4.72173i −0.260614 + 0.515183i
\(85\) 2.77594 6.70172i 0.301093 0.726904i
\(86\) −8.21821 9.74664i −0.886193 1.05101i
\(87\) −0.538305 2.00898i −0.0577124 0.215386i
\(88\) 11.1816 + 11.0223i 1.19196 + 1.17498i
\(89\) 1.19386 4.45554i 0.126549 0.472287i −0.873341 0.487109i \(-0.838052\pi\)
0.999890 + 0.0148221i \(0.00471821\pi\)
\(90\) 1.16010 + 0.808181i 0.122285 + 0.0851898i
\(91\) −10.8992 6.83902i −1.14255 0.716924i
\(92\) −0.955178 2.58577i −0.0995842 0.269585i
\(93\) 2.97540 3.87762i 0.308535 0.402091i
\(94\) −0.523412 11.3642i −0.0539858 1.17213i
\(95\) 3.75458 6.50312i 0.385212 0.667206i
\(96\) −3.29983 4.59468i −0.336788 0.468943i
\(97\) 3.30978 0.336057 0.168029 0.985782i \(-0.446260\pi\)
0.168029 + 0.985782i \(0.446260\pi\)
\(98\) 6.80461 + 7.19008i 0.687369 + 0.726308i
\(99\) −2.12432 5.12856i −0.213502 0.515439i
\(100\) −6.15367 5.11357i −0.615367 0.511357i
\(101\) 0.457188 0.350813i 0.0454919 0.0349072i −0.585765 0.810481i \(-0.699206\pi\)
0.631257 + 0.775574i \(0.282539\pi\)
\(102\) 9.28936 4.35878i 0.919783 0.431584i
\(103\) −0.767407 + 2.86400i −0.0756149 + 0.282199i −0.993372 0.114943i \(-0.963331\pi\)
0.917757 + 0.397142i \(0.129998\pi\)
\(104\) 11.8630 6.96312i 1.16327 0.682790i
\(105\) 2.15628 1.53197i 0.210431 0.149505i
\(106\) −5.32688 + 0.952418i −0.517392 + 0.0925070i
\(107\) −5.72796 + 0.754101i −0.553743 + 0.0729017i −0.402205 0.915550i \(-0.631756\pi\)
−0.151538 + 0.988451i \(0.548423\pi\)
\(108\) 0.442216 + 1.95050i 0.0425523 + 0.187687i
\(109\) −0.380291 + 2.88860i −0.0364253 + 0.276678i 0.963533 + 0.267588i \(0.0862267\pi\)
−0.999959 + 0.00908955i \(0.997107\pi\)
\(110\) −2.37798 7.47955i −0.226732 0.713147i
\(111\) 4.47896i 0.425124i
\(112\) −10.1760 + 2.90657i −0.961546 + 0.274645i
\(113\) 9.84190i 0.925848i −0.886398 0.462924i \(-0.846800\pi\)
0.886398 0.462924i \(-0.153200\pi\)
\(114\) 10.1229 3.21840i 0.948101 0.301430i
\(115\) −0.179855 + 1.36614i −0.0167716 + 0.127393i
\(116\) 2.21820 3.51891i 0.205954 0.326723i
\(117\) −4.82173 + 0.634793i −0.445769 + 0.0586866i
\(118\) −0.613142 3.42931i −0.0564443 0.315693i
\(119\) −1.80411 19.1119i −0.165382 1.75198i
\(120\) 0.389201 + 2.80080i 0.0355290 + 0.255677i
\(121\) −5.12846 + 19.1397i −0.466223 + 1.73997i
\(122\) 5.69714 + 12.1416i 0.515794 + 1.09925i
\(123\) 4.56477 3.50267i 0.411592 0.315825i
\(124\) 9.73388 0.898553i 0.874129 0.0806924i
\(125\) 3.44347 + 8.31328i 0.307994 + 0.743562i
\(126\) 3.71400 + 0.454072i 0.330870 + 0.0404519i
\(127\) −13.6928 −1.21504 −0.607521 0.794304i \(-0.707836\pi\)
−0.607521 + 0.794304i \(0.707836\pi\)
\(128\) 2.26343 11.0850i 0.200061 0.979783i
\(129\) −4.50744 + 7.80711i −0.396858 + 0.687378i
\(130\) −6.86878 + 0.316362i −0.602432 + 0.0277468i
\(131\) 7.99546 10.4199i 0.698567 0.910390i −0.300491 0.953785i \(-0.597151\pi\)
0.999058 + 0.0433947i \(0.0138173\pi\)
\(132\) 4.64381 10.0844i 0.404191 0.877731i
\(133\) 0.730771 19.8590i 0.0633658 1.72199i
\(134\) −4.39174 + 6.30410i −0.379388 + 0.544591i
\(135\) 0.258754 0.965681i 0.0222700 0.0831126i
\(136\) 19.0160 + 7.71727i 1.63061 + 0.661750i
\(137\) 5.76542 + 21.5168i 0.492573 + 1.83831i 0.543220 + 0.839590i \(0.317205\pi\)
−0.0506472 + 0.998717i \(0.516128\pi\)
\(138\) −1.49015 + 1.25647i −0.126850 + 0.106958i
\(139\) −5.41216 + 13.0661i −0.459053 + 1.10825i 0.509728 + 0.860336i \(0.329746\pi\)
−0.968781 + 0.247917i \(0.920254\pi\)
\(140\) 5.17774 + 1.08483i 0.437599 + 0.0916845i
\(141\) −7.43189 + 3.07839i −0.625878 + 0.259247i
\(142\) −16.7948 + 5.33959i −1.40939 + 0.448088i
\(143\) 23.3800 + 13.4985i 1.95514 + 1.12880i
\(144\) −2.26285 + 3.29841i −0.188571 + 0.274868i
\(145\) −1.80075 + 1.03966i −0.149544 + 0.0863393i
\(146\) −2.31564 0.507556i −0.191644 0.0420057i
\(147\) 3.14685 6.25278i 0.259548 0.515721i
\(148\) 6.57543 6.08341i 0.540497 0.500053i
\(149\) −0.136787 + 0.0180084i −0.0112060 + 0.00147530i −0.136127 0.990691i \(-0.543466\pi\)
0.124921 + 0.992167i \(0.460132\pi\)
\(150\) −1.92228 + 5.32099i −0.156953 + 0.434457i
\(151\) 2.58747 + 9.65658i 0.210566 + 0.785841i 0.987681 + 0.156483i \(0.0500156\pi\)
−0.777115 + 0.629358i \(0.783318\pi\)
\(152\) 18.4740 + 10.4899i 1.49844 + 0.850846i
\(153\) −5.13057 5.13057i −0.414782 0.414782i
\(154\) −14.8220 14.5505i −1.19439 1.17251i
\(155\) −4.51444 1.86994i −0.362609 0.150197i
\(156\) −7.48090 6.21647i −0.598951 0.497716i
\(157\) 13.8742 + 1.82657i 1.10728 + 0.145776i 0.661920 0.749575i \(-0.269742\pi\)
0.445361 + 0.895351i \(0.353075\pi\)
\(158\) −0.0797036 1.73050i −0.00634088 0.137672i
\(159\) 1.91320 + 3.31376i 0.151727 + 0.262799i
\(160\) −3.58316 + 4.37548i −0.283273 + 0.345912i
\(161\) 1.27065 + 3.41803i 0.100141 + 0.269379i
\(162\) 1.19091 0.762708i 0.0935671 0.0599240i
\(163\) 7.80933 10.1773i 0.611674 0.797149i −0.380128 0.924934i \(-0.624120\pi\)
0.991802 + 0.127785i \(0.0407868\pi\)
\(164\) 11.3421 + 1.94402i 0.885673 + 0.151802i
\(165\) −4.40288 + 3.37845i −0.342764 + 0.263012i
\(166\) 1.45696 17.1248i 0.113082 1.32914i
\(167\) −15.9063 15.9063i −1.23086 1.23086i −0.963632 0.267232i \(-0.913891\pi\)
−0.267232 0.963632i \(-0.586109\pi\)
\(168\) 4.37782 + 6.06916i 0.337756 + 0.468246i
\(169\) 7.53215 7.53215i 0.579396 0.579396i
\(170\) −6.61285 7.84271i −0.507182 0.601508i
\(171\) −4.57244 5.95893i −0.349664 0.455690i
\(172\) −17.5835 + 3.98653i −1.34073 + 0.303970i
\(173\) −5.98164 4.58987i −0.454776 0.348962i 0.355833 0.934549i \(-0.384197\pi\)
−0.810609 + 0.585588i \(0.800864\pi\)
\(174\) −2.87315 0.629754i −0.217813 0.0477416i
\(175\) 8.15450 + 6.74777i 0.616422 + 0.510084i
\(176\) 21.1119 6.87934i 1.59137 0.518550i
\(177\) −2.13331 + 1.23167i −0.160350 + 0.0925780i
\(178\) −4.82006 4.39560i −0.361279 0.329464i
\(179\) 1.62087 12.3118i 0.121150 0.920224i −0.817639 0.575731i \(-0.804718\pi\)
0.938789 0.344493i \(-0.111949\pi\)
\(180\) 1.76914 0.931739i 0.131864 0.0694477i
\(181\) −5.50862 + 13.2990i −0.409453 + 0.988506i 0.575829 + 0.817570i \(0.304679\pi\)
−0.985282 + 0.170936i \(0.945321\pi\)
\(182\) −15.6742 + 9.24376i −1.16185 + 0.685193i
\(183\) 6.70590 6.70590i 0.495715 0.495715i
\(184\) −3.86855 0.481086i −0.285193 0.0354661i
\(185\) −4.32524 + 1.15895i −0.317998 + 0.0852074i
\(186\) −2.93618 6.25754i −0.215291 0.458825i
\(187\) 5.25725 + 39.9328i 0.384448 + 2.92017i
\(188\) −14.6134 6.72942i −1.06579 0.490794i
\(189\) −0.590330 2.57905i −0.0429402 0.187598i
\(190\) −5.72729 8.94277i −0.415502 0.648777i
\(191\) 3.52560 + 6.10652i 0.255103 + 0.441852i 0.964924 0.262531i \(-0.0845571\pi\)
−0.709820 + 0.704383i \(0.751224\pi\)
\(192\) −7.91575 + 1.15794i −0.571270 + 0.0835674i
\(193\) 10.3395 17.9086i 0.744255 1.28909i −0.206287 0.978492i \(-0.566138\pi\)
0.950542 0.310596i \(-0.100529\pi\)
\(194\) 2.15139 4.15702i 0.154461 0.298457i
\(195\) 1.86065 + 4.49200i 0.133244 + 0.321679i
\(196\) 13.4537 3.87285i 0.960976 0.276632i
\(197\) −15.2892 6.33301i −1.08931 0.451208i −0.235545 0.971863i \(-0.575688\pi\)
−0.853767 + 0.520655i \(0.825688\pi\)
\(198\) −7.82220 0.665501i −0.555899 0.0472951i
\(199\) 7.83574 2.09958i 0.555461 0.148835i 0.0298406 0.999555i \(-0.490500\pi\)
0.525620 + 0.850719i \(0.323833\pi\)
\(200\) −10.4225 + 4.40503i −0.736981 + 0.311483i
\(201\) 5.24761 + 1.40609i 0.370138 + 0.0991781i
\(202\) −0.143438 0.802250i −0.0100923 0.0564461i
\(203\) −2.92477 + 4.66114i −0.205279 + 0.327148i
\(204\) 0.563609 14.5005i 0.0394605 1.01524i
\(205\) −4.56362 3.50179i −0.318737 0.244575i
\(206\) 3.09831 + 2.82548i 0.215870 + 0.196860i
\(207\) 1.19362 + 0.689137i 0.0829624 + 0.0478984i
\(208\) −1.03447 19.4258i −0.0717279 1.34694i
\(209\) 41.6947i 2.88408i
\(210\) −0.522523 3.70404i −0.0360575 0.255603i
\(211\) 5.15822 2.13661i 0.355107 0.147090i −0.197997 0.980203i \(-0.563443\pi\)
0.553103 + 0.833113i \(0.313443\pi\)
\(212\) −2.26630 + 7.30954i −0.155650 + 0.502021i
\(213\) 7.58606 + 9.88635i 0.519789 + 0.677402i
\(214\) −2.77609 + 7.68439i −0.189770 + 0.525294i
\(215\) 8.70550 + 2.33263i 0.593710 + 0.159084i
\(216\) 2.73723 + 0.712425i 0.186245 + 0.0484744i
\(217\) −12.8742 + 1.21529i −0.873960 + 0.0824993i
\(218\) 3.38084 + 2.35525i 0.228979 + 0.159518i
\(219\) 0.218798 + 1.66194i 0.0147850 + 0.112303i
\(220\) −10.9399 1.87507i −0.737567 0.126417i
\(221\) 34.9852 + 4.60588i 2.35336 + 0.309825i
\(222\) −5.62548 2.91136i −0.377558 0.195398i
\(223\) −8.80421 −0.589573 −0.294787 0.955563i \(-0.595249\pi\)
−0.294787 + 0.955563i \(0.595249\pi\)
\(224\) −2.96392 + 14.6702i −0.198035 + 0.980195i
\(225\) 4.00051 0.266700
\(226\) −12.3612 6.39732i −0.822258 0.425543i
\(227\) −14.9133 1.96337i −0.989828 0.130313i −0.381814 0.924239i \(-0.624700\pi\)
−0.608014 + 0.793926i \(0.708034\pi\)
\(228\) 2.53775 14.8062i 0.168067 0.980565i
\(229\) −3.83871 29.1579i −0.253669 1.92681i −0.360958 0.932582i \(-0.617550\pi\)
0.107289 0.994228i \(-0.465783\pi\)
\(230\) 1.59894 + 1.11390i 0.105431 + 0.0734481i
\(231\) −6.11559 + 13.3530i −0.402376 + 0.878565i
\(232\) −2.97784 5.07334i −0.195505 0.333081i
\(233\) −5.97183 1.60015i −0.391228 0.104829i 0.0578423 0.998326i \(-0.481578\pi\)
−0.449070 + 0.893497i \(0.648245\pi\)
\(234\) −2.33688 + 6.46863i −0.152767 + 0.422867i
\(235\) 4.89577 + 6.38029i 0.319365 + 0.416204i
\(236\) −4.70569 1.45898i −0.306314 0.0949717i
\(237\) −1.13171 + 0.468768i −0.0735121 + 0.0304497i
\(238\) −25.1769 10.1570i −1.63197 0.658378i
\(239\) 1.39189i 0.0900340i −0.998986 0.0450170i \(-0.985666\pi\)
0.998986 0.0450170i \(-0.0143342\pi\)
\(240\) 3.77074 + 1.33171i 0.243400 + 0.0859617i
\(241\) −8.19716 4.73264i −0.528026 0.304856i 0.212186 0.977229i \(-0.431942\pi\)
−0.740212 + 0.672373i \(0.765275\pi\)
\(242\) 20.7055 + 18.8822i 1.33100 + 1.21379i
\(243\) −0.793353 0.608761i −0.0508936 0.0390521i
\(244\) 18.9528 + 0.736664i 1.21333 + 0.0471601i
\(245\) −6.85246 1.42093i −0.437787 0.0907797i
\(246\) −1.43215 8.01004i −0.0913107 0.510701i
\(247\) 35.2841 + 9.45436i 2.24508 + 0.601566i
\(248\) 5.19854 12.8096i 0.330108 0.813413i
\(249\) −11.7387 + 3.14538i −0.743912 + 0.199331i
\(250\) 12.6796 + 1.07876i 0.801929 + 0.0682270i
\(251\) −4.28882 1.77649i −0.270708 0.112131i 0.243200 0.969976i \(-0.421803\pi\)
−0.513908 + 0.857845i \(0.671803\pi\)
\(252\) 2.98444 4.36957i 0.188002 0.275257i
\(253\) −2.92789 7.06856i −0.184075 0.444397i
\(254\) −8.90045 + 17.1979i −0.558464 + 1.07909i
\(255\) −3.62695 + 6.28205i −0.227128 + 0.393397i
\(256\) −12.4513 10.0482i −0.778205 0.628010i
\(257\) −4.66350 8.07742i −0.290901 0.503855i 0.683122 0.730304i \(-0.260622\pi\)
−0.974023 + 0.226449i \(0.927288\pi\)
\(258\) 6.87571 + 10.7359i 0.428063 + 0.668391i
\(259\) −8.68183 + 8.06556i −0.539462 + 0.501169i
\(260\) −4.06742 + 8.83270i −0.252251 + 0.547781i
\(261\) 0.271475 + 2.06206i 0.0168039 + 0.127638i
\(262\) −7.89007 16.8152i −0.487450 1.03884i
\(263\) 26.8996 7.20774i 1.65870 0.444448i 0.696673 0.717389i \(-0.254663\pi\)
0.962031 + 0.272941i \(0.0879964\pi\)
\(264\) −9.64726 12.3875i −0.593748 0.762395i
\(265\) 2.70499 2.70499i 0.166166 0.166166i
\(266\) −24.4675 13.8263i −1.50020 0.847746i
\(267\) −1.76521 + 4.26159i −0.108029 + 0.260805i
\(268\) 5.06316 + 9.61366i 0.309282 + 0.587248i
\(269\) −0.0594769 + 0.451772i −0.00362637 + 0.0275450i −0.993162 0.116741i \(-0.962755\pi\)
0.989536 + 0.144286i \(0.0460886\pi\)
\(270\) −1.04469 0.952691i −0.0635776 0.0579789i
\(271\) 3.83591 2.21466i 0.233015 0.134531i −0.378947 0.925418i \(-0.623714\pi\)
0.611962 + 0.790887i \(0.290380\pi\)
\(272\) 22.0533 18.8675i 1.33718 1.14401i
\(273\) 9.91327 + 8.20314i 0.599979 + 0.496476i
\(274\) 30.7723 + 6.74486i 1.85902 + 0.407472i
\(275\) −17.6182 13.5189i −1.06242 0.815221i
\(276\) 0.609496 + 2.68832i 0.0366873 + 0.161818i
\(277\) −17.9117 23.3429i −1.07621 1.40254i −0.909088 0.416603i \(-0.863220\pi\)
−0.167118 0.985937i \(-0.553446\pi\)
\(278\) 12.8928 + 15.2906i 0.773261 + 0.917072i
\(279\) −3.45608 + 3.45608i −0.206910 + 0.206910i
\(280\) 4.72810 5.79800i 0.282558 0.346497i
\(281\) 4.45634 + 4.45634i 0.265843 + 0.265843i 0.827423 0.561580i \(-0.189806\pi\)
−0.561580 + 0.827423i \(0.689806\pi\)
\(282\) −0.964390 + 11.3353i −0.0574286 + 0.675007i
\(283\) −21.8199 + 16.7430i −1.29706 + 0.995267i −0.297884 + 0.954602i \(0.596281\pi\)
−0.999173 + 0.0406648i \(0.987052\pi\)
\(284\) −4.21034 + 24.5647i −0.249838 + 1.45765i
\(285\) −4.57129 + 5.95742i −0.270780 + 0.352887i
\(286\) 32.1510 20.5908i 1.90113 1.21756i
\(287\) −15.0095 2.54067i −0.885985 0.149971i
\(288\) 2.67187 + 4.98609i 0.157442 + 0.293808i
\(289\) 17.8228 + 30.8700i 1.04840 + 1.81588i
\(290\) 0.135295 + 2.93750i 0.00794481 + 0.172496i
\(291\) −3.28147 0.432013i −0.192363 0.0253251i
\(292\) −2.14267 + 2.57849i −0.125390 + 0.150894i
\(293\) 0.355032 + 0.147059i 0.0207412 + 0.00859129i 0.393030 0.919526i \(-0.371427\pi\)
−0.372289 + 0.928117i \(0.621427\pi\)
\(294\) −5.80790 8.01675i −0.338724 0.467546i
\(295\) 1.74140 + 1.74140i 0.101388 + 0.101388i
\(296\) −3.36656 12.2129i −0.195677 0.709860i
\(297\) 1.43673 + 5.36196i 0.0833677 + 0.311133i
\(298\) −0.0662947 + 0.183508i −0.00384035 + 0.0106303i
\(299\) −6.64567 + 0.874919i −0.384329 + 0.0505979i
\(300\) 5.43357 + 5.87304i 0.313707 + 0.339080i
\(301\) 23.2498 5.32175i 1.34010 0.306741i
\(302\) 13.8104 + 3.02704i 0.794697 + 0.174187i
\(303\) −0.499067 + 0.288136i −0.0286706 + 0.0165530i
\(304\) 25.1834 16.3845i 1.44437 0.939715i
\(305\) −8.21094 4.74059i −0.470157 0.271445i
\(306\) −9.77882 + 3.10899i −0.559018 + 0.177729i
\(307\) −17.1573 + 7.10680i −0.979221 + 0.405607i −0.814137 0.580673i \(-0.802790\pi\)
−0.165084 + 0.986280i \(0.552790\pi\)
\(308\) −27.9095 + 9.15822i −1.59029 + 0.521838i
\(309\) 1.13467 2.73933i 0.0645491 0.155835i
\(310\) −5.28304 + 4.45458i −0.300056 + 0.253003i
\(311\) −2.50704 9.35639i −0.142161 0.530552i −0.999865 0.0164089i \(-0.994777\pi\)
0.857704 0.514143i \(-0.171890\pi\)
\(312\) −12.6704 + 5.35511i −0.717321 + 0.303173i
\(313\) 1.13989 4.25412i 0.0644302 0.240457i −0.926199 0.377035i \(-0.876944\pi\)
0.990629 + 0.136578i \(0.0436104\pi\)
\(314\) 11.3125 16.2384i 0.638400 0.916388i
\(315\) −2.33779 + 1.23741i −0.131720 + 0.0697202i
\(316\) −2.22529 1.02474i −0.125182 0.0576459i
\(317\) −2.25382 + 2.93724i −0.126587 + 0.164972i −0.852347 0.522976i \(-0.824822\pi\)
0.725760 + 0.687948i \(0.241488\pi\)
\(318\) 5.40562 0.248972i 0.303132 0.0139617i
\(319\) 5.77275 9.99869i 0.323212 0.559819i
\(320\) 3.16643 + 7.34447i 0.177009 + 0.410569i
\(321\) 5.77739 0.322463
\(322\) 5.11892 + 0.625836i 0.285266 + 0.0348765i
\(323\) 20.8556 + 50.3498i 1.16043 + 2.80154i
\(324\) −0.183842 1.99153i −0.0102134 0.110641i
\(325\) −15.4353 + 11.8440i −0.856198 + 0.656984i
\(326\) −7.70639 16.4237i −0.426817 0.909625i
\(327\) 0.754076 2.81425i 0.0417005 0.155628i
\(328\) 9.81414 12.9819i 0.541895 0.716805i
\(329\) 19.3501 + 8.86221i 1.06681 + 0.488589i
\(330\) 1.38136 + 7.72595i 0.0760413 + 0.425300i
\(331\) −3.34564 + 0.440462i −0.183893 + 0.0242100i −0.221910 0.975067i \(-0.571229\pi\)
0.0380171 + 0.999277i \(0.487896\pi\)
\(332\) −20.5614 12.9612i −1.12845 0.711338i
\(333\) −0.584621 + 4.44064i −0.0320370 + 0.243345i
\(334\) −30.3172 + 9.63877i −1.65888 + 0.527410i
\(335\) 5.43135i 0.296746i
\(336\) 10.4684 1.55346i 0.571096 0.0847482i
\(337\) 4.00311i 0.218063i −0.994038 0.109032i \(-0.965225\pi\)
0.994038 0.109032i \(-0.0347750\pi\)
\(338\) −4.56428 14.3562i −0.248264 0.780874i
\(339\) −1.28463 + 9.75770i −0.0697713 + 0.529966i
\(340\) −14.1487 + 3.20779i −0.767321 + 0.173967i
\(341\) 26.8997 3.54141i 1.45670 0.191778i
\(342\) −10.4564 + 1.86955i −0.565419 + 0.101094i
\(343\) −17.7869 + 5.16008i −0.960402 + 0.278618i
\(344\) −6.42242 + 24.6758i −0.346274 + 1.33043i
\(345\) 0.356634 1.33097i 0.0192005 0.0716573i
\(346\) −9.65291 + 4.52937i −0.518944 + 0.243501i
\(347\) −12.1711 + 9.33919i −0.653377 + 0.501354i −0.881442 0.472292i \(-0.843427\pi\)
0.228065 + 0.973646i \(0.426760\pi\)
\(348\) −2.65853 + 3.19928i −0.142512 + 0.171499i
\(349\) 8.48569 + 20.4863i 0.454229 + 1.09661i 0.970699 + 0.240300i \(0.0772458\pi\)
−0.516470 + 0.856305i \(0.672754\pi\)
\(350\) 13.7756 5.85580i 0.736335 0.313005i
\(351\) 4.86334 0.259586
\(352\) 5.08259 30.9878i 0.270903 1.65165i
\(353\) 0.665073 1.15194i 0.0353982 0.0613116i −0.847784 0.530342i \(-0.822063\pi\)
0.883182 + 0.469031i \(0.155397\pi\)
\(354\) 0.160282 + 3.48000i 0.00851888 + 0.184960i
\(355\) 7.58414 9.88385i 0.402525 0.524580i
\(356\) −8.65388 + 3.19673i −0.458655 + 0.169426i
\(357\) −0.705928 + 19.1839i −0.0373617 + 1.01532i
\(358\) −14.4098 10.0385i −0.761579 0.530553i
\(359\) −5.88079 + 21.9474i −0.310376 + 1.15834i 0.617842 + 0.786303i \(0.288007\pi\)
−0.928218 + 0.372037i \(0.878659\pi\)
\(360\) −0.0202937 2.82764i −0.00106957 0.149030i
\(361\) 9.68398 + 36.1411i 0.509683 + 1.90216i
\(362\) 13.1226 + 15.5632i 0.689710 + 0.817983i
\(363\) 7.58281 18.3065i 0.397994 0.960843i
\(364\) 1.42160 + 25.6951i 0.0745122 + 1.34679i
\(365\) 1.54829 0.641321i 0.0810410 0.0335683i
\(366\) −4.06360 12.7814i −0.212408 0.668094i
\(367\) 22.8227 + 13.1767i 1.19133 + 0.687817i 0.958609 0.284725i \(-0.0919023\pi\)
0.232725 + 0.972542i \(0.425236\pi\)
\(368\) −3.11883 + 4.54612i −0.162580 + 0.236983i
\(369\) −4.98291 + 2.87689i −0.259400 + 0.149765i
\(370\) −1.35583 + 6.18575i −0.0704863 + 0.321582i
\(371\) 2.97803 9.67579i 0.154612 0.502342i
\(372\) −9.76789 0.379661i −0.506442 0.0196845i
\(373\) −22.4844 + 2.96013i −1.16420 + 0.153270i −0.687760 0.725938i \(-0.741406\pi\)
−0.476439 + 0.879208i \(0.658073\pi\)
\(374\) 53.5721 + 19.3536i 2.77014 + 1.00075i
\(375\) −2.32891 8.69162i −0.120265 0.448833i
\(376\) −17.9509 + 13.9800i −0.925746 + 0.720965i
\(377\) −7.15240 7.15240i −0.368368 0.368368i
\(378\) −3.62296 0.934962i −0.186345 0.0480892i
\(379\) −13.7692 5.70340i −0.707277 0.292964i −9.99269e−5 1.00000i \(-0.500032\pi\)
−0.707177 + 0.707036i \(0.750032\pi\)
\(380\) −14.9547 + 1.38050i −0.767162 + 0.0708181i
\(381\) 13.5757 + 1.78727i 0.695503 + 0.0915647i
\(382\) 9.96134 0.458800i 0.509667 0.0234742i
\(383\) −1.28468 2.22514i −0.0656442 0.113699i 0.831335 0.555771i \(-0.187577\pi\)
−0.896980 + 0.442072i \(0.854244\pi\)
\(384\) −3.69095 + 10.6947i −0.188353 + 0.545762i
\(385\) 14.4772 + 2.45056i 0.737827 + 0.124892i
\(386\) −15.7721 24.6270i −0.802777 1.25348i
\(387\) 5.48791 7.15198i 0.278966 0.363556i
\(388\) −3.82273 5.40420i −0.194070 0.274357i
\(389\) −15.0633 + 11.5585i −0.763740 + 0.586038i −0.915471 0.402384i \(-0.868182\pi\)
0.151731 + 0.988422i \(0.451515\pi\)
\(390\) 6.85131 + 0.582900i 0.346929 + 0.0295163i
\(391\) −7.07134 7.07134i −0.357613 0.357613i
\(392\) 3.88077 19.4149i 0.196008 0.980602i
\(393\) −9.28713 + 9.28713i −0.468474 + 0.468474i
\(394\) −17.8923 + 15.0865i −0.901399 + 0.760046i
\(395\) 0.745513 + 0.971571i 0.0375108 + 0.0488851i
\(396\) −5.92035 + 9.39195i −0.297509 + 0.471963i
\(397\) 2.56905 + 1.97130i 0.128937 + 0.0989369i 0.671217 0.741261i \(-0.265772\pi\)
−0.542280 + 0.840198i \(0.682439\pi\)
\(398\) 2.45626 11.2063i 0.123121 0.561720i
\(399\) −3.31663 + 19.5937i −0.166039 + 0.980911i
\(400\) −1.24207 + 15.9537i −0.0621033 + 0.797687i
\(401\) 14.8471 8.57197i 0.741428 0.428064i −0.0811602 0.996701i \(-0.525863\pi\)
0.822588 + 0.568637i \(0.192529\pi\)
\(402\) 5.17702 5.67693i 0.258206 0.283139i
\(403\) 3.10264 23.5669i 0.154553 1.17395i
\(404\) −1.10085 0.341314i −0.0547692 0.0169810i
\(405\) −0.382587 + 0.923646i −0.0190109 + 0.0458963i
\(406\) 3.95318 + 6.70324i 0.196193 + 0.332676i
\(407\) 17.5809 17.5809i 0.871454 0.871454i
\(408\) −17.8460 10.1333i −0.883509 0.501675i
\(409\) 10.5224 2.81948i 0.520301 0.139414i 0.0108953 0.999941i \(-0.496532\pi\)
0.509406 + 0.860526i \(0.329865\pi\)
\(410\) −7.36457 + 3.45563i −0.363710 + 0.170661i
\(411\) −2.90758 22.0853i −0.143421 1.08939i
\(412\) 5.56267 2.05484i 0.274053 0.101235i
\(413\) 6.22902 + 1.91718i 0.306510 + 0.0943383i
\(414\) 1.64141 1.05122i 0.0806708 0.0516647i
\(415\) 6.07488 + 10.5220i 0.298204 + 0.516504i
\(416\) −25.0709 11.3277i −1.22920 0.555385i
\(417\) 7.07133 12.2479i 0.346284 0.599782i
\(418\) 52.3678 + 27.1019i 2.56139 + 1.32560i
\(419\) 8.32202 + 20.0911i 0.406557 + 0.981516i 0.986037 + 0.166529i \(0.0532560\pi\)
−0.579479 + 0.814987i \(0.696744\pi\)
\(420\) −4.99185 1.75138i −0.243577 0.0854584i
\(421\) 31.1709 + 12.9114i 1.51917 + 0.629263i 0.977426 0.211278i \(-0.0677624\pi\)
0.541749 + 0.840541i \(0.317762\pi\)
\(422\) 0.669351 7.86744i 0.0325835 0.382981i
\(423\) 7.77012 2.08200i 0.377796 0.101230i
\(424\) 7.70754 + 7.59769i 0.374311 + 0.368977i
\(425\) −28.0375 7.51263i −1.36002 0.364416i
\(426\) 17.3481 3.10174i 0.840517 0.150280i
\(427\) −25.0742 0.922682i −1.21343 0.0446517i
\(428\) 7.84697 + 8.48163i 0.379298 + 0.409975i
\(429\) −21.4181 16.4347i −1.03408 0.793474i
\(430\) 8.58839 9.41771i 0.414169 0.454162i
\(431\) −34.3791 19.8488i −1.65598 0.956082i −0.974541 0.224210i \(-0.928020\pi\)
−0.681442 0.731872i \(-0.738647\pi\)
\(432\) 2.67402 2.97483i 0.128654 0.143127i
\(433\) 34.3482i 1.65067i −0.564645 0.825334i \(-0.690987\pi\)
0.564645 0.825334i \(-0.309013\pi\)
\(434\) −6.84198 + 16.9597i −0.328425 + 0.814094i
\(435\) 1.92105 0.795724i 0.0921072 0.0381520i
\(436\) 5.15573 2.71533i 0.246914 0.130041i
\(437\) −6.30208 8.21304i −0.301470 0.392883i
\(438\) 2.22958 + 0.805466i 0.106533 + 0.0384867i
\(439\) 2.23566 + 0.599043i 0.106702 + 0.0285907i 0.311775 0.950156i \(-0.399076\pi\)
−0.205073 + 0.978747i \(0.565743\pi\)
\(440\) −9.46607 + 12.5215i −0.451277 + 0.596938i
\(441\) −3.93608 + 5.78854i −0.187433 + 0.275645i
\(442\) 28.5256 40.9469i 1.35682 1.94764i
\(443\) 0.646104 + 4.90765i 0.0306973 + 0.233169i 0.999915 0.0130360i \(-0.00414959\pi\)
−0.969218 + 0.246205i \(0.920816\pi\)
\(444\) −7.31322 + 5.17310i −0.347070 + 0.245504i
\(445\) 4.57210 + 0.601928i 0.216738 + 0.0285341i
\(446\) −5.72281 + 11.0579i −0.270983 + 0.523608i
\(447\) 0.137968 0.00652564
\(448\) 16.4989 + 13.2584i 0.779502 + 0.626400i
\(449\) −32.9131 −1.55326 −0.776632 0.629955i \(-0.783073\pi\)
−0.776632 + 0.629955i \(0.783073\pi\)
\(450\) 2.60036 5.02456i 0.122582 0.236860i
\(451\) 31.6666 + 4.16898i 1.49112 + 0.196310i
\(452\) −16.0698 + 11.3672i −0.755861 + 0.534667i
\(453\) −1.30490 9.91170i −0.0613095 0.465692i
\(454\) −12.1597 + 17.4546i −0.570683 + 0.819184i
\(455\) 5.35652 11.6957i 0.251118 0.548301i
\(456\) −16.9468 12.8115i −0.793605 0.599955i
\(457\) 18.5497 + 4.97037i 0.867718 + 0.232504i 0.665101 0.746754i \(-0.268389\pi\)
0.202617 + 0.979258i \(0.435055\pi\)
\(458\) −39.1170 14.1315i −1.82782 0.660324i
\(459\) 4.41701 + 5.75635i 0.206168 + 0.268684i
\(460\) 2.43835 1.28419i 0.113689 0.0598758i
\(461\) −13.6857 + 5.66878i −0.637405 + 0.264022i −0.677895 0.735158i \(-0.737108\pi\)
0.0404909 + 0.999180i \(0.487108\pi\)
\(462\) 12.7960 + 16.3606i 0.595323 + 0.761166i
\(463\) 2.09325i 0.0972816i −0.998816 0.0486408i \(-0.984511\pi\)
0.998816 0.0486408i \(-0.0154890\pi\)
\(464\) −8.30764 + 0.442403i −0.385672 + 0.0205380i
\(465\) 4.23174 + 2.44320i 0.196242 + 0.113301i
\(466\) −5.89149 + 6.46040i −0.272918 + 0.299272i
\(467\) −2.11782 1.62506i −0.0980012 0.0751989i 0.558599 0.829438i \(-0.311339\pi\)
−0.656600 + 0.754239i \(0.728006\pi\)
\(468\) 6.60548 + 7.13974i 0.305339 + 0.330034i
\(469\) −6.72421 12.7038i −0.310495 0.586607i
\(470\) 11.1958 2.00175i 0.516425 0.0923340i
\(471\) −13.5171 3.62189i −0.622834 0.166888i
\(472\) −4.89119 + 4.96191i −0.225135 + 0.228390i
\(473\) −48.3374 + 12.9520i −2.22256 + 0.595532i
\(474\) −0.146854 + 1.72610i −0.00674525 + 0.0792826i
\(475\) −27.7608 11.4989i −1.27375 0.527605i
\(476\) −29.1221 + 25.0196i −1.33481 + 1.14677i
\(477\) −1.46430 3.53514i −0.0670458 0.161863i
\(478\) −1.74819 0.904742i −0.0799604 0.0413819i
\(479\) −14.5090 + 25.1303i −0.662931 + 1.14823i 0.316910 + 0.948455i \(0.397355\pi\)
−0.979842 + 0.199775i \(0.935979\pi\)
\(480\) 4.12362 3.87035i 0.188216 0.176656i
\(481\) −10.8913 18.8644i −0.496602 0.860140i
\(482\) −11.2723 + 7.21923i −0.513440 + 0.328827i
\(483\) −0.813637 3.55464i −0.0370218 0.161742i
\(484\) 37.1744 13.7322i 1.68975 0.624189i
\(485\) 0.431904 + 3.28064i 0.0196117 + 0.148966i
\(486\) −1.28028 + 0.600737i −0.0580746 + 0.0272500i
\(487\) −38.1220 + 10.2148i −1.72747 + 0.462875i −0.979599 0.200963i \(-0.935593\pi\)
−0.747876 + 0.663839i \(0.768926\pi\)
\(488\) 13.2447 23.3256i 0.599561 1.05590i
\(489\) −9.07092 + 9.07092i −0.410201 + 0.410201i
\(490\) −6.23881 + 7.68294i −0.281841 + 0.347080i
\(491\) −9.83382 + 23.7409i −0.443794 + 1.07141i 0.530812 + 0.847489i \(0.321887\pi\)
−0.974607 + 0.223924i \(0.928113\pi\)
\(492\) −10.9914 3.40784i −0.495529 0.153637i
\(493\) 1.96975 14.9617i 0.0887131 0.673843i
\(494\) 34.8095 38.1708i 1.56615 1.71739i
\(495\) 4.80619 2.77485i 0.216022 0.124720i
\(496\) −12.7096 14.8556i −0.570677 0.667038i
\(497\) 5.50257 32.5075i 0.246824 1.45816i
\(498\) −3.67973 + 16.7881i −0.164893 + 0.752295i
\(499\) 12.3728 + 9.49398i 0.553883 + 0.425009i 0.847408 0.530942i \(-0.178162\pi\)
−0.293525 + 0.955951i \(0.594829\pi\)
\(500\) 9.59676 15.2241i 0.429180 0.680845i
\(501\) 13.6940 + 17.8464i 0.611803 + 0.797317i
\(502\) −5.01900 + 4.23194i −0.224009 + 0.188881i
\(503\) −17.3057 + 17.3057i −0.771622 + 0.771622i −0.978390 0.206768i \(-0.933705\pi\)
0.206768 + 0.978390i \(0.433705\pi\)
\(504\) −3.54819 6.58866i −0.158049 0.293482i
\(505\) 0.407383 + 0.407383i 0.0181283 + 0.0181283i
\(506\) −10.7811 0.917244i −0.479280 0.0407765i
\(507\) −8.45085 + 6.48457i −0.375315 + 0.287990i
\(508\) 15.8149 + 22.3576i 0.701673 + 0.991958i
\(509\) 14.4880 18.8812i 0.642171 0.836893i −0.352941 0.935645i \(-0.614818\pi\)
0.995112 + 0.0987523i \(0.0314852\pi\)
\(510\) 5.53260 + 8.63876i 0.244988 + 0.382531i
\(511\) 2.82742 3.41687i 0.125078 0.151153i
\(512\) −20.7137 + 9.10719i −0.915427 + 0.402485i
\(513\) 3.75553 + 6.50477i 0.165811 + 0.287193i
\(514\) −13.1764 + 0.606879i −0.581186 + 0.0267683i
\(515\) −2.93892 0.386917i −0.129504 0.0170496i
\(516\) 17.9534 1.65731i 0.790355 0.0729592i
\(517\) −41.2552 17.0885i −1.81440 0.751550i
\(518\) 4.48693 + 16.1469i 0.197144 + 0.709454i
\(519\) 5.33137 + 5.33137i 0.234021 + 0.234021i
\(520\) 8.44984 + 10.8499i 0.370550 + 0.475801i
\(521\) 0.875862 + 3.26876i 0.0383722 + 0.143207i 0.982454 0.186503i \(-0.0597155\pi\)
−0.944082 + 0.329710i \(0.893049\pi\)
\(522\) 2.76637 + 0.999388i 0.121081 + 0.0437420i
\(523\) 23.6140 3.10884i 1.03257 0.135940i 0.404852 0.914382i \(-0.367323\pi\)
0.627717 + 0.778442i \(0.283990\pi\)
\(524\) −26.2481 1.02022i −1.14666 0.0445685i
\(525\) −7.20398 7.75442i −0.314407 0.338431i
\(526\) 8.43221 38.4705i 0.367662 1.67740i
\(527\) 30.7121 17.7317i 1.33784 0.772404i
\(528\) −21.8292 + 4.06483i −0.949994 + 0.176899i
\(529\) −18.2734 10.5502i −0.794498 0.458703i
\(530\) −1.63915 5.15569i −0.0712002 0.223949i
\(531\) 2.27583 0.942679i 0.0987626 0.0409088i
\(532\) −33.2697 + 21.7435i −1.44242 + 0.942699i
\(533\) 10.7085 25.8525i 0.463835 1.11980i
\(534\) 4.20508 + 4.98714i 0.181972 + 0.215815i
\(535\) −1.49492 5.57912i −0.0646311 0.241206i
\(536\) 15.3657 0.110278i 0.663696 0.00476329i
\(537\) −3.21401 + 11.9949i −0.138695 + 0.517617i
\(538\) 0.528757 + 0.368357i 0.0227963 + 0.0158810i
\(539\) 36.8957 12.1915i 1.58921 0.525125i
\(540\) −1.87562 + 0.692849i −0.0807137 + 0.0298155i
\(541\) 12.2673 15.9871i 0.527412 0.687337i −0.451347 0.892348i \(-0.649056\pi\)
0.978760 + 0.205011i \(0.0657231\pi\)
\(542\) −0.288203 6.25738i −0.0123794 0.268777i
\(543\) 7.19736 12.4662i 0.308868 0.534976i
\(544\) −9.36234 39.9625i −0.401407 1.71338i
\(545\) −2.91279 −0.124770
\(546\) 16.7467 7.11878i 0.716693 0.304656i
\(547\) 11.4868 + 27.7316i 0.491141 + 1.18572i 0.954140 + 0.299361i \(0.0967733\pi\)
−0.462999 + 0.886359i \(0.653227\pi\)
\(548\) 28.4737 34.2652i 1.21634 1.46374i
\(549\) −7.52383 + 5.77324i −0.321109 + 0.246396i
\(550\) −28.4315 + 13.3407i −1.21232 + 0.568850i
\(551\) 4.04324 15.0896i 0.172248 0.642838i
\(552\) 3.77266 + 0.981917i 0.160575 + 0.0417932i
\(553\) 2.94658 + 1.34951i 0.125301 + 0.0573870i
\(554\) −40.9610 + 7.32361i −1.74027 + 0.311150i
\(555\) 4.43951 0.584473i 0.188447 0.0248095i
\(556\) 27.5852 6.25411i 1.16987 0.265234i
\(557\) 0.997317 7.57538i 0.0422577 0.320979i −0.957240 0.289294i \(-0.906579\pi\)
0.999498 0.0316848i \(-0.0100873\pi\)
\(558\) 2.09429 + 6.58725i 0.0886584 + 0.278861i
\(559\) 43.8424i 1.85434i
\(560\) −4.20888 9.70715i −0.177857 0.410202i
\(561\) 40.2773i 1.70051i
\(562\) 8.49374 2.70042i 0.358287 0.113910i
\(563\) −2.15931 + 16.4016i −0.0910041 + 0.691245i 0.883749 + 0.467961i \(0.155011\pi\)
−0.974753 + 0.223284i \(0.928322\pi\)
\(564\) 13.6100 + 8.57929i 0.573086 + 0.361253i
\(565\) 9.75524 1.28430i 0.410406 0.0540310i
\(566\) 6.84577 + 38.2884i 0.287749 + 1.60938i
\(567\) 0.248646 + 2.63404i 0.0104422 + 0.110619i
\(568\) 28.1161 + 21.2554i 1.17973 + 0.891857i
\(569\) −2.91406 + 10.8754i −0.122164 + 0.455921i −0.999723 0.0235477i \(-0.992504\pi\)
0.877559 + 0.479468i \(0.159170\pi\)
\(570\) 4.51103 + 9.61382i 0.188946 + 0.402679i
\(571\) 11.5442 8.85814i 0.483108 0.370702i −0.338304 0.941037i \(-0.609853\pi\)
0.821412 + 0.570335i \(0.193187\pi\)
\(572\) −4.96317 53.7653i −0.207521 2.24804i
\(573\) −2.69838 6.51446i −0.112726 0.272145i
\(574\) −12.9474 + 17.2002i −0.540412 + 0.717924i
\(575\) 5.51380 0.229941
\(576\) 7.99918 0.114825i 0.333299 0.00478436i
\(577\) 14.3625 24.8766i 0.597920 1.03563i −0.395207 0.918592i \(-0.629327\pi\)
0.993128 0.117036i \(-0.0373394\pi\)
\(578\) 50.3570 2.31935i 2.09458 0.0964721i
\(579\) −12.5886 + 16.4058i −0.523164 + 0.681801i
\(580\) 3.77738 + 1.73947i 0.156847 + 0.0722275i
\(581\) 27.2356 + 17.0898i 1.12992 + 0.709003i
\(582\) −2.67558 + 3.84065i −0.110906 + 0.159200i
\(583\) −5.49752 + 20.5170i −0.227684 + 0.849729i
\(584\) 1.84578 + 4.36719i 0.0763788 + 0.180715i
\(585\) −1.25841 4.69644i −0.0520287 0.194174i
\(586\) 0.415478 0.350324i 0.0171632 0.0144718i
\(587\) −2.39879 + 5.79118i −0.0990085 + 0.239028i −0.965621 0.259954i \(-0.916293\pi\)
0.866612 + 0.498982i \(0.166293\pi\)
\(588\) −13.8441 + 2.08366i −0.570920 + 0.0859287i
\(589\) 33.9168 14.0488i 1.39752 0.578871i
\(590\) 3.31910 1.05524i 0.136645 0.0434437i
\(591\) 14.3318 + 8.27447i 0.589532 + 0.340366i
\(592\) −17.5274 3.71014i −0.720374 0.152486i
\(593\) 0.279473 0.161354i 0.0114766 0.00662601i −0.494251 0.869319i \(-0.664558\pi\)
0.505727 + 0.862693i \(0.331224\pi\)
\(594\) 7.66841 + 1.68081i 0.314639 + 0.0689645i
\(595\) 18.7082 4.28219i 0.766960 0.175553i
\(596\) 0.187390 + 0.202546i 0.00767581 + 0.00829663i
\(597\) −8.04275 + 1.05885i −0.329168 + 0.0433358i
\(598\) −3.22086 + 8.91555i −0.131711 + 0.364584i
\(599\) −6.44809 24.0646i −0.263462 0.983253i −0.963185 0.268839i \(-0.913360\pi\)
0.699723 0.714414i \(-0.253307\pi\)
\(600\) 10.9083 3.00694i 0.445329 0.122758i
\(601\) −11.9431 11.9431i −0.487168 0.487168i 0.420244 0.907411i \(-0.361945\pi\)
−0.907411 + 0.420244i \(0.861945\pi\)
\(602\) 8.42856 32.6605i 0.343523 1.33114i
\(603\) −5.01918 2.07901i −0.204397 0.0846640i
\(604\) 12.7788 15.3780i 0.519960 0.625720i
\(605\) −19.6403 2.58570i −0.798493 0.105124i
\(606\) 0.0374963 + 0.814110i 0.00152318 + 0.0330709i
\(607\) 0.884442 + 1.53190i 0.0358984 + 0.0621778i 0.883416 0.468589i \(-0.155237\pi\)
−0.847518 + 0.530767i \(0.821904\pi\)
\(608\) −4.20917 42.2800i −0.170704 1.71468i
\(609\) 3.50815 4.23950i 0.142157 0.171793i
\(610\) −11.2913 + 7.23137i −0.457170 + 0.292789i
\(611\) −23.8158 + 31.0374i −0.963485 + 1.25564i
\(612\) −2.45148 + 14.3029i −0.0990953 + 0.578160i
\(613\) 25.4702 19.5439i 1.02873 0.789372i 0.0508856 0.998704i \(-0.483796\pi\)
0.977845 + 0.209332i \(0.0671289\pi\)
\(614\) −2.22640 + 26.1688i −0.0898503 + 1.05609i
\(615\) 4.06750 + 4.06750i 0.164017 + 0.164017i
\(616\) −6.63887 + 41.0068i −0.267488 + 1.65221i
\(617\) −17.8251 + 17.8251i −0.717613 + 0.717613i −0.968116 0.250503i \(-0.919404\pi\)
0.250503 + 0.968116i \(0.419404\pi\)
\(618\) −2.70301 3.20571i −0.108731 0.128953i
\(619\) −8.08750 10.5398i −0.325064 0.423632i 0.602023 0.798479i \(-0.294362\pi\)
−0.927086 + 0.374848i \(0.877695\pi\)
\(620\) 2.16085 + 9.53091i 0.0867816 + 0.382771i
\(621\) −1.09346 0.839041i −0.0438790 0.0336695i
\(622\) −13.3810 2.93294i −0.536531 0.117600i
\(623\) 11.4392 4.25253i 0.458303 0.170374i
\(624\) −1.50996 + 19.3947i −0.0604466 + 0.776408i
\(625\) 9.53198 5.50329i 0.381279 0.220132i
\(626\) −4.60215 4.19689i −0.183939 0.167741i
\(627\) 5.44225 41.3380i 0.217343 1.65088i
\(628\) −13.0420 24.7634i −0.520431 0.988166i
\(629\) 12.4365 30.0243i 0.495875 1.19715i
\(630\) 0.0345789 + 3.74055i 0.00137765 + 0.149027i
\(631\) −17.9266 + 17.9266i −0.713645 + 0.713645i −0.967296 0.253651i \(-0.918369\pi\)
0.253651 + 0.967296i \(0.418369\pi\)
\(632\) −2.73351 + 2.12884i −0.108733 + 0.0846805i
\(633\) −5.39298 + 1.44504i −0.214352 + 0.0574353i
\(634\) 2.22411 + 4.73999i 0.0883309 + 0.188249i
\(635\) −1.78682 13.5722i −0.0709078 0.538598i
\(636\) 3.20100 6.95120i 0.126928 0.275633i
\(637\) −1.95087 33.9874i −0.0772963 1.34663i
\(638\) −8.80583 13.7497i −0.348626 0.544356i
\(639\) −6.23074 10.7920i −0.246484 0.426923i
\(640\) 11.2827 + 0.796987i 0.445989 + 0.0315037i
\(641\) 1.84356 3.19314i 0.0728162 0.126121i −0.827318 0.561733i \(-0.810135\pi\)
0.900135 + 0.435612i \(0.143468\pi\)
\(642\) 3.75535 7.25630i 0.148212 0.286383i
\(643\) −17.3359 41.8524i −0.683659 1.65050i −0.757181 0.653206i \(-0.773424\pi\)
0.0735213 0.997294i \(-0.476576\pi\)
\(644\) 4.11338 6.02247i 0.162090 0.237318i
\(645\) −8.32655 3.44897i −0.327858 0.135803i
\(646\) 76.7947 + 6.53358i 3.02145 + 0.257060i
\(647\) 8.15019 2.18384i 0.320417 0.0858555i −0.0950256 0.995475i \(-0.530293\pi\)
0.415443 + 0.909619i \(0.363627\pi\)
\(648\) −2.62083 1.06361i −0.102956 0.0417826i
\(649\) −13.2083 3.53916i −0.518472 0.138924i
\(650\) 4.84268 + 27.0852i 0.189946 + 1.06237i
\(651\) 12.9227 + 0.475531i 0.506481 + 0.0186375i
\(652\) −25.6371 0.996469i −1.00403 0.0390247i
\(653\) 35.3010 + 27.0874i 1.38143 + 1.06001i 0.990190 + 0.139725i \(0.0446218\pi\)
0.391244 + 0.920287i \(0.372045\pi\)
\(654\) −3.04449 2.77639i −0.119049 0.108565i
\(655\) 11.3715 + 6.56533i 0.444321 + 0.256529i
\(656\) −9.92574 20.7647i −0.387535 0.810726i
\(657\) 1.67628i 0.0653978i
\(658\) 23.7085 18.5429i 0.924254 0.722877i
\(659\) −5.96864 + 2.47229i −0.232505 + 0.0963068i −0.495894 0.868383i \(-0.665160\pi\)
0.263389 + 0.964690i \(0.415160\pi\)
\(660\) 10.6015 + 3.28697i 0.412665 + 0.127945i
\(661\) −6.32912 8.24827i −0.246174 0.320820i 0.653880 0.756598i \(-0.273140\pi\)
−0.900054 + 0.435778i \(0.856473\pi\)
\(662\) −1.62148 + 4.48837i −0.0630208 + 0.174445i
\(663\) −34.0847 9.13296i −1.32374 0.354695i
\(664\) −29.6441 + 17.3999i −1.15041 + 0.675247i
\(665\) 19.7794 1.86712i 0.767014 0.0724039i
\(666\) 5.19735 + 3.62072i 0.201393 + 0.140300i
\(667\) 0.374167 + 2.84208i 0.0144878 + 0.110046i
\(668\) −7.60031 + 44.3431i −0.294065 + 1.71569i
\(669\) 8.72889 + 1.14918i 0.337478 + 0.0444298i
\(670\) −6.82167 3.53042i −0.263544 0.136392i
\(671\) 52.6444 2.03231
\(672\) 4.85341 14.1578i 0.187224 0.546150i
\(673\) 24.4860 0.943866 0.471933 0.881634i \(-0.343556\pi\)
0.471933 + 0.881634i \(0.343556\pi\)
\(674\) −5.02783 2.60206i −0.193665 0.100227i
\(675\) −3.96628 0.522171i −0.152662 0.0200984i
\(676\) −20.9979 3.59900i −0.807613 0.138423i
\(677\) 4.47715 + 34.0073i 0.172071 + 1.30701i 0.831620 + 0.555345i \(0.187414\pi\)
−0.659549 + 0.751661i \(0.729253\pi\)
\(678\) 11.4205 + 7.95606i 0.438601 + 0.305550i
\(679\) 5.07176 + 7.13862i 0.194636 + 0.273955i
\(680\) −5.16785 + 19.8556i −0.198178 + 0.761427i
\(681\) 14.5294 + 3.89314i 0.556768 + 0.149186i
\(682\) 13.0371 36.0874i 0.499215 1.38186i
\(683\) −14.5964 19.0224i −0.558516 0.727872i 0.425696 0.904866i \(-0.360029\pi\)
−0.984212 + 0.176994i \(0.943363\pi\)
\(684\) −4.44864 + 14.3483i −0.170098 + 0.548621i
\(685\) −20.5750 + 8.52245i −0.786131 + 0.325626i
\(686\) −5.08067 + 25.6941i −0.193981 + 0.981005i
\(687\) 29.4095i 1.12204i
\(688\) 26.8177 + 24.1059i 1.02242 + 0.919030i
\(689\) 16.1160 + 9.30455i 0.613969 + 0.354475i
\(690\) −1.43986 1.31307i −0.0548147 0.0499877i
\(691\) 12.0447 + 9.24225i 0.458203 + 0.351592i 0.811928 0.583758i \(-0.198418\pi\)
−0.353724 + 0.935350i \(0.615085\pi\)
\(692\) −0.585667 + 15.0680i −0.0222637 + 0.572800i
\(693\) 7.80619 12.4405i 0.296533 0.472577i
\(694\) 3.81855 + 21.3572i 0.144950 + 0.810708i
\(695\) −13.6573 3.65946i −0.518051 0.138811i
\(696\) 2.29016 + 5.41862i 0.0868084 + 0.205392i
\(697\) 40.3253 10.8051i 1.52743 0.409273i
\(698\) 31.2462 + 2.65838i 1.18268 + 0.100621i
\(699\) 5.71188 + 2.36594i 0.216043 + 0.0894880i
\(700\) 1.59947 21.1082i 0.0604541 0.797814i
\(701\) −0.931702 2.24933i −0.0351899 0.0849559i 0.905308 0.424757i \(-0.139640\pi\)
−0.940497 + 0.339801i \(0.889640\pi\)
\(702\) 3.16121 6.10826i 0.119312 0.230542i
\(703\) 16.8209 29.1346i 0.634410 1.09883i
\(704\) −35.6163 26.5259i −1.34234 0.999734i
\(705\) −4.02109 6.96473i −0.151443 0.262307i
\(706\) −1.01451 1.58409i −0.0381817 0.0596180i
\(707\) 1.45721 + 0.448504i 0.0548042 + 0.0168677i
\(708\) 4.47500 + 2.06072i 0.168181 + 0.0774465i
\(709\) −2.84717 21.6264i −0.106928 0.812196i −0.957924 0.287024i \(-0.907334\pi\)
0.850996 0.525172i \(-0.175999\pi\)
\(710\) −7.48417 15.9501i −0.280876 0.598598i
\(711\) 1.18321 0.317040i 0.0443738 0.0118899i
\(712\) −1.61006 + 12.9470i −0.0603397 + 0.485210i
\(713\) −4.76343 + 4.76343i −0.178392 + 0.178392i
\(714\) 23.6357 + 13.3563i 0.884544 + 0.499847i
\(715\) −10.3287 + 24.9356i −0.386270 + 0.932539i
\(716\) −21.9747 + 11.5733i −0.821232 + 0.432513i
\(717\) −0.181678 + 1.37998i −0.00678490 + 0.0515365i
\(718\) 23.7430 + 21.6522i 0.886080 + 0.808051i
\(719\) 1.38302 0.798489i 0.0515781 0.0297786i −0.473989 0.880531i \(-0.657186\pi\)
0.525567 + 0.850752i \(0.323853\pi\)
\(720\) −3.56465 1.81250i −0.132847 0.0675479i
\(721\) −7.35309 + 2.73351i −0.273843 + 0.101801i
\(722\) 51.6872 + 11.3291i 1.92360 + 0.421626i
\(723\) 7.50930 + 5.76209i 0.279274 + 0.214294i
\(724\) 28.0769 6.36558i 1.04347 0.236575i
\(725\) 5.06518 + 6.60107i 0.188116 + 0.245157i
\(726\) −18.0638 21.4233i −0.670409 0.795091i
\(727\) 17.3555 17.3555i 0.643680 0.643680i −0.307778 0.951458i \(-0.599585\pi\)
0.951458 + 0.307778i \(0.0995853\pi\)
\(728\) 33.1966 + 14.9165i 1.23035 + 0.552843i
\(729\) 0.707107 + 0.707107i 0.0261891 + 0.0261891i
\(730\) 0.200912 2.36148i 0.00743607 0.0874024i
\(731\) −51.8928 + 39.8188i −1.91933 + 1.47275i
\(732\) −18.6945 3.20420i −0.690970 0.118431i
\(733\) −8.14938 + 10.6205i −0.301004 + 0.392276i −0.919228 0.393726i \(-0.871186\pi\)
0.618224 + 0.786002i \(0.287853\pi\)
\(734\) 31.3846 20.0999i 1.15843 0.741901i
\(735\) 6.60837 + 2.30320i 0.243753 + 0.0849547i
\(736\) 3.68258 + 6.87220i 0.135742 + 0.253313i
\(737\) 15.0788 + 26.1173i 0.555436 + 0.962043i
\(738\) 0.374380 + 8.12844i 0.0137811 + 0.299212i
\(739\) 14.7705 + 1.94457i 0.543340 + 0.0715321i 0.397201 0.917732i \(-0.369982\pi\)
0.146140 + 0.989264i \(0.453315\pi\)
\(740\) 6.88789 + 5.72369i 0.253204 + 0.210407i
\(741\) −33.7482 13.9790i −1.23977 0.513531i
\(742\) −10.2169 10.0297i −0.375073 0.368202i
\(743\) −32.1686 32.1686i −1.18015 1.18015i −0.979704 0.200449i \(-0.935760\pi\)
−0.200449 0.979704i \(-0.564240\pi\)
\(744\) −6.82606 + 12.0215i −0.250255 + 0.440730i
\(745\) −0.0356996 0.133233i −0.00130793 0.00488127i
\(746\) −10.8972 + 30.1641i −0.398974 + 1.10439i
\(747\) 12.0489 1.58626i 0.440845 0.0580383i
\(748\) 59.1301 54.7055i 2.16201 2.00023i
\(749\) −10.4037 11.1987i −0.380144 0.409190i
\(750\) −12.4303 2.72456i −0.453891 0.0994867i
\(751\) −39.0115 + 22.5233i −1.42355 + 0.821886i −0.996600 0.0823896i \(-0.973745\pi\)
−0.426949 + 0.904276i \(0.640411\pi\)
\(752\) 5.89042 + 31.6331i 0.214801 + 1.15354i
\(753\) 4.02025 + 2.32109i 0.146506 + 0.0845852i
\(754\) −13.6324 + 4.33416i −0.496463 + 0.157841i
\(755\) −9.23390 + 3.82480i −0.336056 + 0.139199i
\(756\) −3.52925 + 3.94264i −0.128358 + 0.143392i
\(757\) 6.77150 16.3479i 0.246115 0.594173i −0.751753 0.659445i \(-0.770791\pi\)
0.997868 + 0.0652718i \(0.0207914\pi\)
\(758\) −16.1135 + 13.5866i −0.585268 + 0.493489i
\(759\) 1.98021 + 7.39026i 0.0718772 + 0.268249i
\(760\) −7.98682 + 19.6802i −0.289713 + 0.713876i
\(761\) 2.25944 8.43235i 0.0819047 0.305672i −0.912805 0.408395i \(-0.866089\pi\)
0.994710 + 0.102722i \(0.0327553\pi\)
\(762\) 11.0691 15.8891i 0.400991 0.575600i
\(763\) −6.81294 + 3.60614i −0.246645 + 0.130551i
\(764\) 5.89871 12.8095i 0.213408 0.463431i
\(765\) 4.41589 5.75490i 0.159657 0.208069i
\(766\) −3.62978 + 0.167181i −0.131149 + 0.00604048i
\(767\) −5.99003 + 10.3750i −0.216287 + 0.374621i
\(768\) 11.0332 + 11.5874i 0.398127 + 0.418125i
\(769\) 9.80499 0.353577 0.176789 0.984249i \(-0.443429\pi\)
0.176789 + 0.984249i \(0.443429\pi\)
\(770\) 12.4882 16.5902i 0.450042 0.597870i
\(771\) 3.56929 + 8.61702i 0.128545 + 0.310334i
\(772\) −41.1830 + 3.80168i −1.48221 + 0.136825i
\(773\) 12.9131 9.90857i 0.464452 0.356386i −0.349872 0.936798i \(-0.613775\pi\)
0.814324 + 0.580411i \(0.197108\pi\)
\(774\) −5.41557 11.5416i −0.194659 0.414853i
\(775\) −5.06069 + 18.8868i −0.181785 + 0.678432i
\(776\) −9.27238 + 1.28850i −0.332859 + 0.0462543i
\(777\) 9.66032 6.86335i 0.346562 0.246221i
\(778\) 4.72596 + 26.4323i 0.169434 + 0.947645i
\(779\) 42.8472 5.64094i 1.53516 0.202108i
\(780\) 5.18552 8.22623i 0.185671 0.294546i
\(781\) −9.02915 + 68.5832i −0.323088 + 2.45410i
\(782\) −13.4779 + 4.28504i −0.481969 + 0.153233i
\(783\) 2.07985i 0.0743279i
\(784\) −21.8623 17.4940i −0.780795 0.624787i
\(785\) 13.9904i 0.499338i
\(786\) 5.62775 + 17.7012i 0.200735 + 0.631380i
\(787\) 5.35375 40.6658i 0.190841 1.44958i −0.581073 0.813851i \(-0.697367\pi\)
0.771914 0.635727i \(-0.219300\pi\)
\(788\) 7.31821 + 32.2787i 0.260701 + 1.14988i
\(789\) −27.6103 + 3.63497i −0.982953 + 0.129408i
\(790\) 1.70487 0.304821i 0.0606564 0.0108450i
\(791\) 21.2273 15.0813i 0.754754 0.536229i
\(792\) 7.94784 + 13.5407i 0.282414 + 0.481148i
\(793\) 11.9372 44.5503i 0.423903 1.58203i
\(794\) 4.14583 1.94532i 0.147130 0.0690368i
\(795\) −3.03492 + 2.32878i −0.107638 + 0.0825933i
\(796\) −12.4783 10.3692i −0.442281 0.367527i
\(797\) 10.9243 + 26.3737i 0.386960 + 0.934204i 0.990580 + 0.136932i \(0.0437243\pi\)
−0.603620 + 0.797272i \(0.706276\pi\)
\(798\) 22.4535 + 16.9017i 0.794844 + 0.598313i
\(799\) −58.3666 −2.06486
\(800\) 19.2303 + 11.9301i 0.679892 + 0.421792i
\(801\) 2.30636 3.99473i 0.0814912 0.141147i
\(802\) −1.11550 24.2195i −0.0393898 0.855221i
\(803\) −5.66464 + 7.38231i −0.199901 + 0.260516i
\(804\) −3.76501 10.1923i −0.132782 0.359454i
\(805\) −3.22212 + 1.70549i −0.113565 + 0.0601107i
\(806\) −27.5828 19.2155i −0.971563 0.676838i
\(807\) 0.117936 0.440144i 0.00415155 0.0154938i
\(808\) −1.14424 + 1.16079i −0.0402544 + 0.0408363i
\(809\) −10.1763 37.9785i −0.357780 1.33525i −0.876950 0.480581i \(-0.840426\pi\)
0.519171 0.854671i \(-0.326241\pi\)
\(810\) 0.911397 + 1.08090i 0.0320232 + 0.0379789i
\(811\) 21.1572 51.0779i 0.742928 1.79359i 0.149396 0.988777i \(-0.452267\pi\)
0.593532 0.804810i \(-0.297733\pi\)
\(812\) 10.9887 0.607962i 0.385629 0.0213353i
\(813\) −4.09216 + 1.69503i −0.143518 + 0.0594473i
\(814\) −10.6536 33.5091i −0.373407 1.17449i
\(815\) 11.1068 + 6.41249i 0.389053 + 0.224620i
\(816\) −24.3273 + 15.8275i −0.851627 + 0.554074i
\(817\) −58.6397 + 33.8556i −2.05154 + 1.18446i
\(818\) 3.29846 15.0487i 0.115328 0.526165i
\(819\) −8.75774 9.42690i −0.306020 0.329403i
\(820\) −0.446828 + 11.4959i −0.0156039 + 0.401456i
\(821\) −45.6343 + 6.00787i −1.59265 + 0.209676i −0.874080 0.485781i \(-0.838535\pi\)
−0.718567 + 0.695457i \(0.755202\pi\)
\(822\) −29.6287 10.7038i −1.03342 0.373336i
\(823\) −9.45980 35.3045i −0.329748 1.23064i −0.909452 0.415809i \(-0.863498\pi\)
0.579704 0.814827i \(-0.303168\pi\)
\(824\) 1.03494 8.32228i 0.0360539 0.289920i
\(825\) 15.7029 + 15.7029i 0.546705 + 0.546705i
\(826\) 6.45686 6.57735i 0.224663 0.228855i
\(827\) 2.06737 + 0.856334i 0.0718896 + 0.0297777i 0.418339 0.908291i \(-0.362613\pi\)
−0.346449 + 0.938069i \(0.612613\pi\)
\(828\) −0.253385 2.74488i −0.00880573 0.0953911i
\(829\) 13.9201 + 1.83262i 0.483466 + 0.0636495i 0.368320 0.929699i \(-0.379933\pi\)
0.115146 + 0.993349i \(0.463266\pi\)
\(830\) 17.1641 0.790547i 0.595776 0.0274403i
\(831\) 14.7116 + 25.4812i 0.510338 + 0.883932i
\(832\) −30.5236 + 24.1255i −1.05822 + 0.836401i
\(833\) 38.4564 33.1773i 1.33244 1.14953i
\(834\) −10.7867 16.8427i −0.373513 0.583215i
\(835\) 13.6905 17.8419i 0.473781 0.617443i
\(836\) 68.0790 48.1565i 2.35456 1.66553i
\(837\) 3.87762 2.97540i 0.134030 0.102845i
\(838\) 30.6435 + 2.60710i 1.05856 + 0.0900609i
\(839\) 7.36775 + 7.36775i 0.254363 + 0.254363i 0.822757 0.568394i \(-0.192435\pi\)
−0.568394 + 0.822757i \(0.692435\pi\)
\(840\) −5.44444 + 5.13126i −0.187851 + 0.177045i
\(841\) 17.4473 17.4473i 0.601631 0.601631i
\(842\) 36.4778 30.7575i 1.25711 1.05997i
\(843\) −3.83655 4.99989i −0.132138 0.172205i
\(844\) −9.44628 5.95460i −0.325154 0.204966i
\(845\) 8.44871 + 6.48293i 0.290645 + 0.223019i
\(846\) 2.43569 11.1124i 0.0837408 0.382053i
\(847\) −49.1395 + 18.2676i −1.68845 + 0.627681i
\(848\) 14.5525 4.74196i 0.499736 0.162840i
\(849\) 23.8186 13.7517i 0.817452 0.471956i
\(850\) −27.6603 + 30.3313i −0.948742 + 1.04036i
\(851\) −0.805768 + 6.12042i −0.0276214 + 0.209805i
\(852\) 7.38066 23.8050i 0.252857 0.815547i
\(853\) 4.03882 9.75058i 0.138287 0.333854i −0.839531 0.543312i \(-0.817170\pi\)
0.977818 + 0.209458i \(0.0671701\pi\)
\(854\) −17.4573 + 30.8930i −0.597377 + 1.05714i
\(855\) 5.30978 5.30978i 0.181591 0.181591i
\(856\) 15.7534 4.34251i 0.538439 0.148424i
\(857\) −7.26785 + 1.94742i −0.248265 + 0.0665225i −0.380806 0.924655i \(-0.624353\pi\)
0.132540 + 0.991178i \(0.457687\pi\)
\(858\) −34.5636 + 16.2181i −1.17998 + 0.553675i
\(859\) 2.37861 + 18.0673i 0.0811570 + 0.616449i 0.982895 + 0.184166i \(0.0589584\pi\)
−0.901738 + 0.432283i \(0.857708\pi\)
\(860\) −6.24595 16.9084i −0.212985 0.576573i
\(861\) 14.5495 + 4.47807i 0.495846 + 0.152612i
\(862\) −47.2764 + 30.2776i −1.61024 + 1.03126i
\(863\) −11.0144 19.0775i −0.374935 0.649407i 0.615382 0.788229i \(-0.289002\pi\)
−0.990317 + 0.138822i \(0.955668\pi\)
\(864\) −1.99820 5.29218i −0.0679802 0.180044i
\(865\) 3.76889 6.52791i 0.128146 0.221956i
\(866\) −43.1407 22.3266i −1.46598 0.758689i
\(867\) −13.6410 32.9322i −0.463271 1.11844i
\(868\) 16.8538 + 19.6174i 0.572055 + 0.665857i
\(869\) −6.28222 2.60218i −0.213110 0.0882729i
\(870\) 0.249282 2.93003i 0.00845147 0.0993372i
\(871\) 25.5209 6.83830i 0.864743 0.231707i
\(872\) −0.0591412 8.24048i −0.00200277 0.279058i
\(873\) 3.19700 + 0.856635i 0.108202 + 0.0289927i
\(874\) −14.4118 + 2.57676i −0.487487 + 0.0871601i
\(875\) −12.6537 + 20.1659i −0.427772 + 0.681730i
\(876\) 2.46090 2.27675i 0.0831460 0.0769243i
\(877\) 9.61412 + 7.37717i 0.324646 + 0.249109i 0.758206 0.652015i \(-0.226076\pi\)
−0.433560 + 0.901125i \(0.642743\pi\)
\(878\) 2.20558 2.41856i 0.0744348 0.0816225i
\(879\) −0.332800 0.192142i −0.0112251 0.00648079i
\(880\) 9.57372 + 20.0283i 0.322730 + 0.675153i
\(881\) 15.2036i 0.512222i −0.966647 0.256111i \(-0.917559\pi\)
0.966647 0.256111i \(-0.0824413\pi\)
\(882\) 4.71182 + 8.70625i 0.158655 + 0.293155i
\(883\) −40.9838 + 16.9760i −1.37921 + 0.571289i −0.944271 0.329170i \(-0.893231\pi\)
−0.434942 + 0.900458i \(0.643231\pi\)
\(884\) −32.8866 62.4434i −1.10610 2.10020i
\(885\) −1.49921 1.95380i −0.0503953 0.0656764i
\(886\) 6.58389 + 2.37852i 0.221190 + 0.0799078i
\(887\) 15.1867 + 4.06926i 0.509919 + 0.136632i 0.504600 0.863353i \(-0.331640\pi\)
0.00531954 + 0.999986i \(0.498307\pi\)
\(888\) 1.74366 + 12.5478i 0.0585132 + 0.421078i
\(889\) −20.9823 29.5330i −0.703723 0.990505i
\(890\) 3.72791 5.35121i 0.124960 0.179373i
\(891\) −0.724565 5.50362i −0.0242739 0.184378i
\(892\) 10.1687 + 14.3755i 0.340472 + 0.481327i
\(893\) −59.9037 7.88647i −2.00460 0.263911i
\(894\) 0.0896801 0.173285i 0.00299935 0.00579551i
\(895\) 12.4149 0.414983
\(896\) 27.3767 12.1043i 0.914593 0.404376i
\(897\) 6.70302 0.223807
\(898\) −21.3938 + 41.3382i −0.713919 + 1.37947i
\(899\) −10.0786 1.32687i −0.336140 0.0442536i
\(900\) −4.62050 6.53201i −0.154017 0.217734i
\(901\) 3.62384 + 27.5258i 0.120728 + 0.917018i
\(902\) 25.8197 37.0627i 0.859702 1.23405i
\(903\) −23.7456 + 2.24151i −0.790203 + 0.0745929i
\(904\) 3.83145 + 27.5722i 0.127432 + 0.917037i
\(905\) −13.9007 3.72469i −0.462075 0.123813i
\(906\) −13.2971 4.80376i −0.441767 0.159594i
\(907\) 6.94972 + 9.05705i 0.230762 + 0.300734i 0.894354 0.447360i \(-0.147636\pi\)
−0.663592 + 0.748094i \(0.730969\pi\)
\(908\) 14.0187 + 26.6180i 0.465227 + 0.883349i
\(909\) 0.532407 0.220530i 0.0176588 0.00731452i
\(910\) −11.2077 14.3300i −0.371533 0.475034i
\(911\) 2.88798i 0.0956831i −0.998855 0.0478416i \(-0.984766\pi\)
0.998855 0.0478416i \(-0.0152343\pi\)
\(912\) −27.1066 + 12.9572i −0.897589 + 0.429056i
\(913\) −58.4235 33.7308i −1.93354 1.11633i
\(914\) 18.3002 20.0673i 0.605315 0.663767i
\(915\) 7.52193 + 5.77178i 0.248667 + 0.190809i
\(916\) −43.1753 + 39.9446i −1.42655 + 1.31981i
\(917\) 34.7257 + 1.27784i 1.14675 + 0.0421980i
\(918\) 10.1010 1.80600i 0.333382 0.0596068i
\(919\) 11.6150 + 3.11222i 0.383142 + 0.102663i 0.445249 0.895407i \(-0.353115\pi\)
−0.0621066 + 0.998070i \(0.519782\pi\)
\(920\) −0.0279703 3.89726i −0.000922154 0.128489i
\(921\) 17.9382 4.80652i 0.591083 0.158380i
\(922\) −1.77590 + 20.8737i −0.0584863 + 0.687438i
\(923\) 55.9911 + 23.1923i 1.84297 + 0.763383i
\(924\) 28.8662 5.43695i 0.949627 0.178862i
\(925\) 6.85696 + 16.5542i 0.225455 + 0.544297i
\(926\) −2.62908 1.36063i −0.0863970 0.0447131i
\(927\) −1.48252 + 2.56780i −0.0486923 + 0.0843375i
\(928\) −4.84438 + 10.7218i −0.159025 + 0.351960i
\(929\) −27.1252 46.9822i −0.889948 1.54144i −0.839935 0.542687i \(-0.817407\pi\)
−0.0500134 0.998749i \(-0.515926\pi\)
\(930\) 5.81928 3.72689i 0.190822 0.122210i
\(931\) 43.9521 28.8548i 1.44047 0.945679i
\(932\) 4.28462 + 11.5989i 0.140347 + 0.379935i
\(933\) 1.26433 + 9.60358i 0.0413925 + 0.314407i
\(934\) −3.41765 + 1.60364i −0.111829 + 0.0524728i
\(935\) −38.8951 + 10.4219i −1.27201 + 0.340833i
\(936\) 13.2610 3.65548i 0.433449 0.119483i
\(937\) −6.31998 + 6.31998i −0.206465 + 0.206465i −0.802763 0.596298i \(-0.796638\pi\)
0.596298 + 0.802763i \(0.296638\pi\)
\(938\) −20.3265 + 0.187905i −0.663685 + 0.00613531i
\(939\) −1.68541 + 4.06894i −0.0550012 + 0.132785i
\(940\) 4.76321 15.3629i 0.155359 0.501082i
\(941\) −2.66559 + 20.2472i −0.0868957 + 0.660039i 0.891459 + 0.453102i \(0.149683\pi\)
−0.978354 + 0.206937i \(0.933651\pi\)
\(942\) −13.3352 + 14.6229i −0.434485 + 0.476441i
\(943\) −6.86782 + 3.96514i −0.223647 + 0.129123i
\(944\) 3.05275 + 9.36853i 0.0993585 + 0.304920i
\(945\) 2.47931 0.921681i 0.0806519 0.0299823i
\(946\) −15.1523 + 69.1298i −0.492643 + 2.24760i
\(947\) 27.1857 + 20.8603i 0.883418 + 0.677870i 0.947390 0.320081i \(-0.103710\pi\)
−0.0639723 + 0.997952i \(0.520377\pi\)
\(948\) 2.07250 + 1.30643i 0.0673116 + 0.0424308i
\(949\) 4.96281 + 6.46765i 0.161100 + 0.209949i
\(950\) −32.4871 + 27.3926i −1.05402 + 0.888735i
\(951\) 2.61793 2.61793i 0.0848921 0.0848921i
\(952\) 12.4945 + 52.8398i 0.404948 + 1.71255i
\(953\) −20.1881 20.1881i −0.653957 0.653957i 0.299986 0.953943i \(-0.403018\pi\)
−0.953943 + 0.299986i \(0.903018\pi\)
\(954\) −5.39188 0.458733i −0.174568 0.0148520i
\(955\) −5.59268 + 4.29141i −0.180975 + 0.138867i
\(956\) −2.27268 + 1.60761i −0.0735036 + 0.0519937i
\(957\) −7.02845 + 9.15965i −0.227198 + 0.296090i
\(958\) 22.1322 + 34.5579i 0.715059 + 1.11651i
\(959\) −37.5734 + 45.4064i −1.21331 + 1.46625i
\(960\) −2.18070 7.69494i −0.0703818 0.248353i
\(961\) 3.55552 + 6.15833i 0.114694 + 0.198656i
\(962\) −30.7727 + 1.41733i −0.992153 + 0.0456966i
\(963\) −5.72796 0.754101i −0.184581 0.0243006i
\(964\) 1.74012 + 18.8504i 0.0560453 + 0.607130i
\(965\) 19.1001 + 7.91152i 0.614854 + 0.254681i
\(966\) −4.99344 1.28863i −0.160661 0.0414611i
\(967\) −13.3970 13.3970i −0.430819 0.430819i 0.458088 0.888907i \(-0.348534\pi\)
−0.888907 + 0.458088i \(0.848534\pi\)
\(968\) 6.91635 55.6164i 0.222300 1.78758i
\(969\) −14.1052 52.6412i −0.453123 1.69108i
\(970\) 4.40116 + 1.58998i 0.141313 + 0.0510511i
\(971\) 16.9372 2.22982i 0.543540 0.0715584i 0.146244 0.989249i \(-0.453282\pi\)
0.397297 + 0.917690i \(0.369948\pi\)
\(972\) −0.0776779 + 1.99849i −0.00249152 + 0.0641016i
\(973\) −36.4746 + 8.34884i −1.16932 + 0.267651i
\(974\) −11.9501 + 54.5203i −0.382905 + 1.74694i
\(975\) 16.8492 9.72791i 0.539607 0.311542i
\(976\) −20.6873 31.7970i −0.662184 1.01780i
\(977\) 36.7912 + 21.2414i 1.17705 + 0.679573i 0.955331 0.295537i \(-0.0954985\pi\)
0.221723 + 0.975110i \(0.428832\pi\)
\(978\) 5.49673 + 17.2891i 0.175766 + 0.552844i
\(979\) −23.6566 + 9.79888i −0.756068 + 0.313174i
\(980\) 5.59435 + 12.8298i 0.178705 + 0.409833i
\(981\) −1.11496 + 2.69175i −0.0355979 + 0.0859409i
\(982\) 23.4261 + 27.7829i 0.747557 + 0.886588i
\(983\) −7.62687 28.4639i −0.243259 0.907857i −0.974250 0.225469i \(-0.927608\pi\)
0.730991 0.682387i \(-0.239058\pi\)
\(984\) −11.4247 + 11.5898i −0.364205 + 0.369470i
\(985\) 4.28210 15.9810i 0.136439 0.509197i
\(986\) −17.5113 12.1992i −0.557674 0.388502i
\(987\) −18.0278 11.3121i −0.573832 0.360068i
\(988\) −25.3154 68.5314i −0.805389 2.18027i
\(989\) 7.56385 9.85740i 0.240516 0.313447i
\(990\) −0.361102 7.84016i −0.0114766 0.249177i
\(991\) −13.6243 + 23.5980i −0.432791 + 0.749616i −0.997112 0.0759390i \(-0.975805\pi\)
0.564321 + 0.825555i \(0.309138\pi\)
\(992\) −26.9197 + 6.30670i −0.854703 + 0.200238i
\(993\) 3.37451 0.107087
\(994\) −37.2521 28.0413i −1.18157 0.889416i
\(995\) 3.10360 + 7.49276i 0.0983908 + 0.237536i
\(996\) 18.6937 + 15.5341i 0.592334 + 0.492217i
\(997\) −32.4961 + 24.9351i −1.02916 + 0.789704i −0.977919 0.208982i \(-0.932985\pi\)
−0.0512429 + 0.998686i \(0.516318\pi\)
\(998\) 19.9667 9.36884i 0.632034 0.296565i
\(999\) 1.15924 4.32634i 0.0366767 0.136879i
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 672.2.cj.a.613.44 yes 512
7.2 even 3 inner 672.2.cj.a.37.1 512
32.13 even 8 inner 672.2.cj.a.109.1 yes 512
224.205 even 24 inner 672.2.cj.a.205.44 yes 512
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
672.2.cj.a.37.1 512 7.2 even 3 inner
672.2.cj.a.109.1 yes 512 32.13 even 8 inner
672.2.cj.a.205.44 yes 512 224.205 even 24 inner
672.2.cj.a.613.44 yes 512 1.1 even 1 trivial