Properties

Label 384.2.v.a.325.15
Level $384$
Weight $2$
Character 384.325
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [384,2,Mod(13,384)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(384, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([0, 15, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("384.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), 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: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 325.15
Character \(\chi\) \(=\) 384.325
Dual form 384.2.v.a.13.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.229611 + 1.39545i) q^{2} +(0.290285 - 0.956940i) q^{3} +(-1.89456 - 0.640821i) q^{4} +(-0.159671 + 1.62116i) q^{5} +(1.26871 + 0.624802i) q^{6} +(-2.66520 - 3.98875i) q^{7} +(1.32924 - 2.49662i) q^{8} +(-0.831470 - 0.555570i) q^{9} +O(q^{10})\) \(q+(-0.229611 + 1.39545i) q^{2} +(0.290285 - 0.956940i) q^{3} +(-1.89456 - 0.640821i) q^{4} +(-0.159671 + 1.62116i) q^{5} +(1.26871 + 0.624802i) q^{6} +(-2.66520 - 3.98875i) q^{7} +(1.32924 - 2.49662i) q^{8} +(-0.831470 - 0.555570i) q^{9} +(-2.22559 - 0.595050i) q^{10} +(3.99771 + 2.13682i) q^{11} +(-1.16319 + 1.62696i) q^{12} +(6.81274 - 0.670996i) q^{13} +(6.17805 - 2.80329i) q^{14} +(1.50501 + 0.623395i) q^{15} +(3.17870 + 2.42815i) q^{16} +(3.66004 - 1.51604i) q^{17} +(0.966185 - 1.03271i) q^{18} +(-3.65067 - 2.99603i) q^{19} +(1.34138 - 2.96907i) q^{20} +(-4.59066 + 1.39256i) q^{21} +(-3.89974 + 5.08796i) q^{22} +(-1.17853 - 5.92485i) q^{23} +(-2.00326 - 1.99674i) q^{24} +(2.30125 + 0.457746i) q^{25} +(-0.627939 + 9.66090i) q^{26} +(-0.773010 + 0.634393i) q^{27} +(2.49329 + 9.26483i) q^{28} +(-0.852848 - 1.59557i) q^{29} +(-1.21548 + 1.95702i) q^{30} +(-1.81765 - 1.81765i) q^{31} +(-4.11822 + 3.87818i) q^{32} +(3.20528 - 3.20528i) q^{33} +(1.27517 + 5.45550i) q^{34} +(6.89197 - 3.68384i) q^{35} +(1.21925 + 1.58538i) q^{36} +(-0.545096 - 0.664201i) q^{37} +(5.01904 - 4.40641i) q^{38} +(1.33553 - 6.71416i) q^{39} +(3.83519 + 2.55356i) q^{40} +(-2.41635 + 0.480641i) q^{41} +(-0.889183 - 6.72578i) q^{42} +(0.604548 + 1.99293i) q^{43} +(-6.20457 - 6.61014i) q^{44} +(1.03343 - 1.25924i) q^{45} +(8.53844 - 0.284162i) q^{46} +(1.28072 + 3.09193i) q^{47} +(3.24632 - 2.33697i) q^{48} +(-6.12806 + 14.7944i) q^{49} +(-1.16715 + 3.10617i) q^{50} +(-0.388305 - 3.94253i) q^{51} +(-13.3371 - 3.09451i) q^{52} +(1.15519 - 2.16120i) q^{53} +(-0.707772 - 1.22436i) q^{54} +(-4.10245 + 6.13975i) q^{55} +(-13.5011 + 1.35196i) q^{56} +(-3.92676 + 2.62378i) q^{57} +(2.42235 - 0.823746i) q^{58} +(7.51336 + 0.740001i) q^{59} +(-2.45184 - 2.14550i) q^{60} +(-11.9569 - 3.62709i) q^{61} +(2.95379 - 2.11909i) q^{62} +4.79723i q^{63} +(-4.46622 - 6.63724i) q^{64} +11.1517i q^{65} +(3.73684 + 5.20877i) q^{66} +(8.08187 + 2.45161i) q^{67} +(-7.90567 + 0.526791i) q^{68} +(-6.01184 - 0.592115i) q^{69} +(3.55813 + 10.4632i) q^{70} +(0.265968 - 0.177714i) q^{71} +(-2.49227 + 1.33737i) q^{72} +(-1.60314 + 2.39927i) q^{73} +(1.05202 - 0.608146i) q^{74} +(1.10605 - 2.06928i) q^{75} +(4.99649 + 8.01558i) q^{76} +(-2.13144 - 21.6409i) q^{77} +(9.06262 + 3.40531i) q^{78} +(-0.479447 + 1.15749i) q^{79} +(-4.44397 + 4.76549i) q^{80} +(0.382683 + 0.923880i) q^{81} +(-0.115891 - 3.48225i) q^{82} +(-0.187886 + 0.228940i) q^{83} +(9.58965 + 0.303504i) q^{84} +(1.87335 + 6.17560i) q^{85} +(-2.91984 + 0.386018i) q^{86} +(-1.77443 + 0.352956i) q^{87} +(10.6488 - 7.14040i) q^{88} +(-2.91955 + 14.6776i) q^{89} +(1.51992 + 1.73124i) q^{90} +(-20.8337 - 25.3860i) q^{91} +(-1.56399 + 11.9802i) q^{92} +(-2.26702 + 1.21175i) q^{93} +(-4.60870 + 1.07724i) q^{94} +(5.43997 - 5.43997i) q^{95} +(2.51573 + 5.06666i) q^{96} +(-8.38535 - 8.38535i) q^{97} +(-19.2378 - 11.9484i) q^{98} +(-2.13682 - 3.99771i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q+O(q^{10}) \) Copy content Toggle raw display \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.229611 + 1.39545i −0.162360 + 0.986732i
\(3\) 0.290285 0.956940i 0.167596 0.552490i
\(4\) −1.89456 0.640821i −0.947279 0.320411i
\(5\) −0.159671 + 1.62116i −0.0714070 + 0.725007i 0.891110 + 0.453787i \(0.149927\pi\)
−0.962517 + 0.271220i \(0.912573\pi\)
\(6\) 1.26871 + 0.624802i 0.517948 + 0.255074i
\(7\) −2.66520 3.98875i −1.00735 1.50761i −0.854564 0.519346i \(-0.826176\pi\)
−0.152785 0.988259i \(-0.548824\pi\)
\(8\) 1.32924 2.49662i 0.469959 0.882688i
\(9\) −0.831470 0.555570i −0.277157 0.185190i
\(10\) −2.22559 0.595050i −0.703794 0.188171i
\(11\) 3.99771 + 2.13682i 1.20535 + 0.644275i 0.946831 0.321730i \(-0.104264\pi\)
0.258522 + 0.966005i \(0.416764\pi\)
\(12\) −1.16319 + 1.62696i −0.335784 + 0.469662i
\(13\) 6.81274 0.670996i 1.88951 0.186101i 0.913951 0.405824i \(-0.133016\pi\)
0.975562 + 0.219724i \(0.0705156\pi\)
\(14\) 6.17805 2.80329i 1.65115 0.749210i
\(15\) 1.50501 + 0.623395i 0.388591 + 0.160960i
\(16\) 3.17870 + 2.42815i 0.794674 + 0.607036i
\(17\) 3.66004 1.51604i 0.887691 0.367694i 0.108216 0.994127i \(-0.465486\pi\)
0.779475 + 0.626434i \(0.215486\pi\)
\(18\) 0.966185 1.03271i 0.227732 0.243412i
\(19\) −3.65067 2.99603i −0.837522 0.687337i 0.114481 0.993425i \(-0.463480\pi\)
−0.952003 + 0.306089i \(0.900980\pi\)
\(20\) 1.34138 2.96907i 0.299942 0.663904i
\(21\) −4.59066 + 1.39256i −1.00176 + 0.303882i
\(22\) −3.89974 + 5.08796i −0.831427 + 1.08476i
\(23\) −1.17853 5.92485i −0.245740 1.23542i −0.884694 0.466173i \(-0.845633\pi\)
0.638954 0.769245i \(-0.279367\pi\)
\(24\) −2.00326 1.99674i −0.408913 0.407583i
\(25\) 2.30125 + 0.457746i 0.460249 + 0.0915492i
\(26\) −0.627939 + 9.66090i −0.123149 + 1.89466i
\(27\) −0.773010 + 0.634393i −0.148766 + 0.122089i
\(28\) 2.49329 + 9.26483i 0.471188 + 1.75089i
\(29\) −0.852848 1.59557i −0.158370 0.296289i 0.790205 0.612843i \(-0.209974\pi\)
−0.948575 + 0.316554i \(0.897474\pi\)
\(30\) −1.21548 + 1.95702i −0.221916 + 0.357302i
\(31\) −1.81765 1.81765i −0.326460 0.326460i 0.524779 0.851239i \(-0.324148\pi\)
−0.851239 + 0.524779i \(0.824148\pi\)
\(32\) −4.11822 + 3.87818i −0.728005 + 0.685572i
\(33\) 3.20528 3.20528i 0.557968 0.557968i
\(34\) 1.27517 + 5.45550i 0.218690 + 0.935611i
\(35\) 6.89197 3.68384i 1.16496 0.622682i
\(36\) 1.21925 + 1.58538i 0.203208 + 0.264231i
\(37\) −0.545096 0.664201i −0.0896132 0.109194i 0.726273 0.687406i \(-0.241251\pi\)
−0.815887 + 0.578212i \(0.803751\pi\)
\(38\) 5.01904 4.40641i 0.814197 0.714814i
\(39\) 1.33553 6.71416i 0.213856 1.07513i
\(40\) 3.83519 + 2.55356i 0.606397 + 0.403754i
\(41\) −2.41635 + 0.480641i −0.377370 + 0.0750636i −0.380131 0.924933i \(-0.624121\pi\)
0.00276103 + 0.999996i \(0.499121\pi\)
\(42\) −0.889183 6.72578i −0.137204 1.03781i
\(43\) 0.604548 + 1.99293i 0.0921926 + 0.303918i 0.990894 0.134642i \(-0.0429885\pi\)
−0.898702 + 0.438561i \(0.855488\pi\)
\(44\) −6.20457 6.61014i −0.935374 0.996516i
\(45\) 1.03343 1.25924i 0.154055 0.187717i
\(46\) 8.53844 0.284162i 1.25892 0.0418975i
\(47\) 1.28072 + 3.09193i 0.186812 + 0.451004i 0.989343 0.145607i \(-0.0465134\pi\)
−0.802530 + 0.596611i \(0.796513\pi\)
\(48\) 3.24632 2.33697i 0.468565 0.337312i
\(49\) −6.12806 + 14.7944i −0.875437 + 2.11349i
\(50\) −1.16715 + 3.10617i −0.165060 + 0.439278i
\(51\) −0.388305 3.94253i −0.0543736 0.552064i
\(52\) −13.3371 3.09451i −1.84952 0.429131i
\(53\) 1.15519 2.16120i 0.158677 0.296864i −0.790002 0.613104i \(-0.789921\pi\)
0.948679 + 0.316240i \(0.102421\pi\)
\(54\) −0.707772 1.22436i −0.0963156 0.166614i
\(55\) −4.10245 + 6.13975i −0.553175 + 0.827884i
\(56\) −13.5011 + 1.35196i −1.80416 + 0.180663i
\(57\) −3.92676 + 2.62378i −0.520112 + 0.347528i
\(58\) 2.42235 0.823746i 0.318071 0.108163i
\(59\) 7.51336 + 0.740001i 0.978156 + 0.0963400i 0.574442 0.818545i \(-0.305219\pi\)
0.403714 + 0.914885i \(0.367719\pi\)
\(60\) −2.45184 2.14550i −0.316531 0.276983i
\(61\) −11.9569 3.62709i −1.53093 0.464401i −0.591256 0.806484i \(-0.701368\pi\)
−0.939670 + 0.342082i \(0.888868\pi\)
\(62\) 2.95379 2.11909i 0.375132 0.269124i
\(63\) 4.79723i 0.604394i
\(64\) −4.46622 6.63724i −0.558277 0.829655i
\(65\) 11.1517i 1.38320i
\(66\) 3.73684 + 5.20877i 0.459973 + 0.641156i
\(67\) 8.08187 + 2.45161i 0.987357 + 0.299512i 0.742352 0.670010i \(-0.233710\pi\)
0.245005 + 0.969522i \(0.421210\pi\)
\(68\) −7.90567 + 0.526791i −0.958704 + 0.0638828i
\(69\) −6.01184 0.592115i −0.723741 0.0712822i
\(70\) 3.55813 + 10.4632i 0.425278 + 1.25060i
\(71\) 0.265968 0.177714i 0.0315646 0.0210908i −0.539688 0.841865i \(-0.681458\pi\)
0.571252 + 0.820774i \(0.306458\pi\)
\(72\) −2.49227 + 1.33737i −0.293717 + 0.157611i
\(73\) −1.60314 + 2.39927i −0.187633 + 0.280813i −0.913346 0.407185i \(-0.866510\pi\)
0.725712 + 0.687998i \(0.241510\pi\)
\(74\) 1.05202 0.608146i 0.122295 0.0706955i
\(75\) 1.10605 2.06928i 0.127716 0.238940i
\(76\) 4.99649 + 8.01558i 0.573137 + 0.919450i
\(77\) −2.13144 21.6409i −0.242900 2.46621i
\(78\) 9.06262 + 3.40531i 1.02614 + 0.385575i
\(79\) −0.479447 + 1.15749i −0.0539421 + 0.130228i −0.948553 0.316618i \(-0.897453\pi\)
0.894611 + 0.446846i \(0.147453\pi\)
\(80\) −4.44397 + 4.76549i −0.496851 + 0.532798i
\(81\) 0.382683 + 0.923880i 0.0425204 + 0.102653i
\(82\) −0.115891 3.48225i −0.0127980 0.384550i
\(83\) −0.187886 + 0.228940i −0.0206232 + 0.0251294i −0.783220 0.621745i \(-0.786424\pi\)
0.762597 + 0.646874i \(0.223924\pi\)
\(84\) 9.58965 + 0.303504i 1.04632 + 0.0331150i
\(85\) 1.87335 + 6.17560i 0.203193 + 0.669838i
\(86\) −2.91984 + 0.386018i −0.314854 + 0.0416253i
\(87\) −1.77443 + 0.352956i −0.190239 + 0.0378409i
\(88\) 10.6488 7.14040i 1.13516 0.761169i
\(89\) −2.91955 + 14.6776i −0.309471 + 1.55582i 0.442590 + 0.896724i \(0.354060\pi\)
−0.752061 + 0.659093i \(0.770940\pi\)
\(90\) 1.51992 + 1.73124i 0.160214 + 0.182489i
\(91\) −20.8337 25.3860i −2.18397 2.66117i
\(92\) −1.56399 + 11.9802i −0.163057 + 1.24902i
\(93\) −2.26702 + 1.21175i −0.235079 + 0.125652i
\(94\) −4.60870 + 1.07724i −0.475351 + 0.111109i
\(95\) 5.43997 5.43997i 0.558129 0.558129i
\(96\) 2.51573 + 5.06666i 0.256761 + 0.517114i
\(97\) −8.38535 8.38535i −0.851403 0.851403i 0.138903 0.990306i \(-0.455642\pi\)
−0.990306 + 0.138903i \(0.955642\pi\)
\(98\) −19.2378 11.9484i −1.94331 1.20697i
\(99\) −2.13682 3.99771i −0.214758 0.401785i
\(100\) −4.06651 2.34191i −0.406651 0.234191i
\(101\) 11.5966 9.51705i 1.15390 0.946982i 0.154741 0.987955i \(-0.450546\pi\)
0.999160 + 0.0409729i \(0.0130457\pi\)
\(102\) 5.59075 + 0.363388i 0.553567 + 0.0359807i
\(103\) 12.4944 + 2.48529i 1.23111 + 0.244883i 0.767437 0.641124i \(-0.221532\pi\)
0.463672 + 0.886007i \(0.346532\pi\)
\(104\) 7.38057 17.9007i 0.723725 1.75531i
\(105\) −1.52458 7.66457i −0.148784 0.747985i
\(106\) 2.75061 + 2.10824i 0.267162 + 0.204770i
\(107\) −12.8461 + 3.89684i −1.24188 + 0.376721i −0.841816 0.539764i \(-0.818513\pi\)
−0.400068 + 0.916486i \(0.631013\pi\)
\(108\) 1.87105 0.706533i 0.180041 0.0679862i
\(109\) −0.986792 0.809840i −0.0945176 0.0775686i 0.585948 0.810349i \(-0.300722\pi\)
−0.680465 + 0.732780i \(0.738222\pi\)
\(110\) −7.62575 7.13452i −0.727086 0.680250i
\(111\) −0.793834 + 0.328817i −0.0753474 + 0.0312099i
\(112\) 1.21341 19.1505i 0.114656 1.80955i
\(113\) 10.9051 + 4.51705i 1.02587 + 0.424929i 0.831219 0.555945i \(-0.187643\pi\)
0.194649 + 0.980873i \(0.437643\pi\)
\(114\) −2.75972 6.08204i −0.258471 0.569635i
\(115\) 9.79334 0.964560i 0.913234 0.0899457i
\(116\) 0.593297 + 3.56941i 0.0550862 + 0.331412i
\(117\) −6.03737 3.22704i −0.558155 0.298340i
\(118\) −2.75779 + 10.3146i −0.253875 + 0.949536i
\(119\) −15.8018 10.5584i −1.44855 0.967891i
\(120\) 3.55690 2.92879i 0.324699 0.267361i
\(121\) 5.30439 + 7.93858i 0.482217 + 0.721689i
\(122\) 7.80686 15.8525i 0.706800 1.43521i
\(123\) −0.241484 + 2.45182i −0.0217738 + 0.221073i
\(124\) 2.27886 + 4.60843i 0.204647 + 0.413850i
\(125\) −3.47391 + 11.4519i −0.310716 + 1.02429i
\(126\) −6.69429 1.10150i −0.596374 0.0981291i
\(127\) −18.3589 −1.62909 −0.814546 0.580100i \(-0.803014\pi\)
−0.814546 + 0.580100i \(0.803014\pi\)
\(128\) 10.2874 4.70840i 0.909288 0.416167i
\(129\) 2.08260 0.183363
\(130\) −15.5616 2.56056i −1.36485 0.224576i
\(131\) 0.636955 2.09976i 0.0556510 0.183457i −0.924708 0.380676i \(-0.875691\pi\)
0.980359 + 0.197220i \(0.0631912\pi\)
\(132\) −8.12660 + 4.01858i −0.707330 + 0.349772i
\(133\) −2.22065 + 22.5466i −0.192555 + 1.95504i
\(134\) −5.27678 + 10.7149i −0.455844 + 0.925628i
\(135\) −0.905029 1.35447i −0.0778925 0.116574i
\(136\) 1.08012 11.1529i 0.0926195 0.956355i
\(137\) 9.57096 + 6.39511i 0.817702 + 0.546371i 0.892615 0.450819i \(-0.148868\pi\)
−0.0749132 + 0.997190i \(0.523868\pi\)
\(138\) 2.20665 8.25326i 0.187843 0.702564i
\(139\) 8.32464 + 4.44961i 0.706086 + 0.377411i 0.785021 0.619469i \(-0.212652\pi\)
−0.0789350 + 0.996880i \(0.525152\pi\)
\(140\) −15.4179 + 2.56272i −1.30305 + 0.216589i
\(141\) 3.33057 0.328032i 0.280484 0.0276253i
\(142\) 0.186922 + 0.411950i 0.0156861 + 0.0345701i
\(143\) 28.6691 + 11.8751i 2.39743 + 0.993049i
\(144\) −1.29398 3.78492i −0.107832 0.315410i
\(145\) 2.72285 1.12784i 0.226120 0.0936621i
\(146\) −2.97996 2.78800i −0.246623 0.230737i
\(147\) 12.3785 + 10.1588i 1.02096 + 0.837882i
\(148\) 0.607081 + 1.60768i 0.0499018 + 0.132150i
\(149\) −8.54505 + 2.59211i −0.700038 + 0.212354i −0.620188 0.784453i \(-0.712944\pi\)
−0.0798493 + 0.996807i \(0.525444\pi\)
\(150\) 2.63361 + 2.01857i 0.215033 + 0.164815i
\(151\) −1.04701 5.26365i −0.0852041 0.428350i −0.999717 0.0237930i \(-0.992426\pi\)
0.914513 0.404557i \(-0.132574\pi\)
\(152\) −12.3326 + 5.13189i −1.00031 + 0.416251i
\(153\) −3.88548 0.772870i −0.314123 0.0624829i
\(154\) 30.6882 + 1.99467i 2.47292 + 0.160735i
\(155\) 3.23694 2.65649i 0.259997 0.213374i
\(156\) −6.83282 + 11.8645i −0.547063 + 0.949923i
\(157\) 3.75258 + 7.02059i 0.299489 + 0.560304i 0.985986 0.166828i \(-0.0533526\pi\)
−0.686497 + 0.727132i \(0.740853\pi\)
\(158\) −1.50513 0.934817i −0.119742 0.0743700i
\(159\) −1.73281 1.73281i −0.137421 0.137421i
\(160\) −5.62961 7.29554i −0.445060 0.576763i
\(161\) −20.4917 + 20.4917i −1.61498 + 1.61498i
\(162\) −1.37710 + 0.321882i −0.108195 + 0.0252895i
\(163\) −0.432499 + 0.231176i −0.0338759 + 0.0181071i −0.488248 0.872705i \(-0.662364\pi\)
0.454372 + 0.890812i \(0.349864\pi\)
\(164\) 4.88591 + 0.637844i 0.381526 + 0.0498072i
\(165\) 4.68450 + 5.70808i 0.364688 + 0.444373i
\(166\) −0.276333 0.314753i −0.0214476 0.0244296i
\(167\) −2.94345 + 14.7977i −0.227771 + 1.14508i 0.682442 + 0.730940i \(0.260918\pi\)
−0.910213 + 0.414141i \(0.864082\pi\)
\(168\) −2.62541 + 13.3122i −0.202555 + 1.02706i
\(169\) 33.2129 6.60646i 2.55484 0.508190i
\(170\) −9.04788 + 1.19618i −0.693941 + 0.0917425i
\(171\) 1.37092 + 4.51932i 0.104837 + 0.345601i
\(172\) 0.131759 4.16312i 0.0100465 0.317435i
\(173\) −0.904465 + 1.10209i −0.0687652 + 0.0837906i −0.806257 0.591566i \(-0.798510\pi\)
0.737492 + 0.675356i \(0.236010\pi\)
\(174\) −0.0851036 2.55717i −0.00645168 0.193859i
\(175\) −4.30744 10.3991i −0.325612 0.786096i
\(176\) 7.51899 + 16.4993i 0.566765 + 1.24368i
\(177\) 2.88915 6.97503i 0.217162 0.524275i
\(178\) −19.8114 7.44421i −1.48493 0.557967i
\(179\) 0.408240 + 4.14493i 0.0305133 + 0.309807i 0.998312 + 0.0580808i \(0.0184981\pi\)
−0.967799 + 0.251726i \(0.919002\pi\)
\(180\) −2.76485 + 1.72346i −0.206079 + 0.128459i
\(181\) −0.715809 + 1.33918i −0.0532057 + 0.0995408i −0.907119 0.420875i \(-0.861723\pi\)
0.853913 + 0.520416i \(0.174223\pi\)
\(182\) 40.2085 23.2435i 2.98045 1.72292i
\(183\) −6.94182 + 10.3892i −0.513154 + 0.767989i
\(184\) −16.3587 4.93325i −1.20598 0.363684i
\(185\) 1.16382 0.777637i 0.0855654 0.0571730i
\(186\) −1.17040 3.44174i −0.0858179 0.252361i
\(187\) 17.8713 + 1.76017i 1.30688 + 0.128716i
\(188\) −0.445022 6.67855i −0.0324566 0.487083i
\(189\) 4.59066 + 1.39256i 0.333921 + 0.101294i
\(190\) 6.34212 + 8.84027i 0.460106 + 0.641341i
\(191\) 15.3004i 1.10710i 0.832816 + 0.553549i \(0.186727\pi\)
−0.832816 + 0.553549i \(0.813273\pi\)
\(192\) −7.64791 + 2.34721i −0.551941 + 0.169396i
\(193\) 6.82274i 0.491112i −0.969382 0.245556i \(-0.921030\pi\)
0.969382 0.245556i \(-0.0789705\pi\)
\(194\) 13.6267 9.77596i 0.978340 0.701873i
\(195\) 10.6715 + 3.23717i 0.764203 + 0.231819i
\(196\) 21.0905 24.1019i 1.50647 1.72157i
\(197\) −15.8012 1.55628i −1.12579 0.110880i −0.482062 0.876137i \(-0.660112\pi\)
−0.643725 + 0.765257i \(0.722612\pi\)
\(198\) 6.06923 2.06390i 0.431322 0.146675i
\(199\) −11.5779 + 7.73607i −0.820732 + 0.548396i −0.893557 0.448949i \(-0.851798\pi\)
0.0728252 + 0.997345i \(0.476798\pi\)
\(200\) 4.20174 5.13688i 0.297108 0.363232i
\(201\) 4.69209 7.02220i 0.330954 0.495308i
\(202\) 10.6179 + 18.3676i 0.747070 + 1.29234i
\(203\) −4.09130 + 7.65429i −0.287153 + 0.537226i
\(204\) −1.79079 + 7.71818i −0.125380 + 0.540380i
\(205\) −0.393379 3.99404i −0.0274748 0.278956i
\(206\) −6.33695 + 16.8646i −0.441516 + 1.17502i
\(207\) −2.31176 + 5.58109i −0.160679 + 0.387913i
\(208\) 23.2849 + 14.4094i 1.61452 + 0.999114i
\(209\) −8.19235 19.7781i −0.566677 1.36808i
\(210\) 11.0456 0.367601i 0.762217 0.0253669i
\(211\) 15.3079 18.6527i 1.05384 1.28411i 0.0964418 0.995339i \(-0.469254\pi\)
0.957399 0.288770i \(-0.0932462\pi\)
\(212\) −3.57351 + 3.35426i −0.245430 + 0.230371i
\(213\) −0.0928555 0.306103i −0.00636235 0.0209739i
\(214\) −2.48822 18.8209i −0.170091 1.28657i
\(215\) −3.32739 + 0.661859i −0.226926 + 0.0451384i
\(216\) 0.556318 + 2.77318i 0.0378527 + 0.188691i
\(217\) −2.40576 + 12.0946i −0.163313 + 0.821032i
\(218\) 1.35667 1.19107i 0.0918852 0.0806695i
\(219\) 1.83059 + 2.23058i 0.123700 + 0.150729i
\(220\) 11.7068 9.00318i 0.789273 0.606994i
\(221\) 23.9177 12.7843i 1.60888 0.859962i
\(222\) −0.276574 1.18326i −0.0185624 0.0794149i
\(223\) −18.6402 + 18.6402i −1.24824 + 1.24824i −0.291744 + 0.956497i \(0.594235\pi\)
−0.956497 + 0.291744i \(0.905765\pi\)
\(224\) 26.4449 + 6.09042i 1.76693 + 0.406933i
\(225\) −1.65911 1.65911i −0.110607 0.110607i
\(226\) −8.80725 + 14.1804i −0.585850 + 0.943265i
\(227\) 5.62182 + 10.5177i 0.373133 + 0.698083i 0.996477 0.0838647i \(-0.0267264\pi\)
−0.623344 + 0.781948i \(0.714226\pi\)
\(228\) 9.12084 2.45454i 0.604042 0.162556i
\(229\) 16.0525 13.1739i 1.06078 0.870559i 0.0688850 0.997625i \(-0.478056\pi\)
0.991894 + 0.127066i \(0.0405559\pi\)
\(230\) −0.902665 + 13.8876i −0.0595200 + 0.915720i
\(231\) −21.3278 4.24236i −1.40326 0.279127i
\(232\) −5.11716 + 0.00833852i −0.335958 + 0.000547451i
\(233\) 0.890203 + 4.47535i 0.0583191 + 0.293190i 0.998927 0.0463038i \(-0.0147442\pi\)
−0.940608 + 0.339494i \(0.889744\pi\)
\(234\) 5.88942 7.68388i 0.385003 0.502311i
\(235\) −5.21702 + 1.58257i −0.340321 + 0.103235i
\(236\) −13.7603 6.21670i −0.895718 0.404672i
\(237\) 0.968471 + 0.794804i 0.0629090 + 0.0516281i
\(238\) 18.3621 19.6263i 1.19024 1.27219i
\(239\) 12.9555 5.36632i 0.838019 0.347119i 0.0779466 0.996958i \(-0.475164\pi\)
0.760072 + 0.649839i \(0.225164\pi\)
\(240\) 3.27027 + 5.63596i 0.211095 + 0.363800i
\(241\) −13.1501 5.44696i −0.847074 0.350869i −0.0834349 0.996513i \(-0.526589\pi\)
−0.763639 + 0.645644i \(0.776589\pi\)
\(242\) −12.2958 + 5.57922i −0.790406 + 0.358646i
\(243\) 0.995185 0.0980171i 0.0638411 0.00628780i
\(244\) 20.3288 + 14.5340i 1.30141 + 0.930443i
\(245\) −23.0058 12.2968i −1.46978 0.785616i
\(246\) −3.36595 0.899944i −0.214605 0.0573783i
\(247\) −26.8814 17.9616i −1.71042 1.14287i
\(248\) −6.95409 + 2.12188i −0.441585 + 0.134740i
\(249\) 0.164541 + 0.246254i 0.0104274 + 0.0156057i
\(250\) −15.1829 7.47715i −0.960254 0.472896i
\(251\) −0.151544 + 1.53865i −0.00956539 + 0.0971190i −0.998782 0.0493409i \(-0.984288\pi\)
0.989217 + 0.146460i \(0.0467879\pi\)
\(252\) 3.07416 9.08862i 0.193654 0.572529i
\(253\) 7.94894 26.2041i 0.499745 1.64744i
\(254\) 4.21541 25.6189i 0.264498 1.60748i
\(255\) 6.45349 0.404133
\(256\) 4.20822 + 15.4367i 0.263014 + 0.964792i
\(257\) −0.597096 −0.0372458 −0.0186229 0.999827i \(-0.505928\pi\)
−0.0186229 + 0.999827i \(0.505928\pi\)
\(258\) −0.478189 + 2.90617i −0.0297707 + 0.180930i
\(259\) −1.19654 + 3.94448i −0.0743496 + 0.245098i
\(260\) 7.14625 21.1276i 0.443192 1.31028i
\(261\) −0.177332 + 1.80048i −0.0109766 + 0.111447i
\(262\) 2.78386 + 1.37097i 0.171987 + 0.0846986i
\(263\) 10.3191 + 15.4437i 0.636306 + 0.952299i 0.999786 + 0.0206970i \(0.00658853\pi\)
−0.363480 + 0.931602i \(0.618411\pi\)
\(264\) −3.74176 12.2630i −0.230290 0.754734i
\(265\) 3.31922 + 2.21783i 0.203898 + 0.136240i
\(266\) −30.9528 8.27576i −1.89784 0.507419i
\(267\) 13.1980 + 7.05450i 0.807707 + 0.431728i
\(268\) −13.7405 9.82374i −0.839336 0.600081i
\(269\) −20.8719 + 2.05571i −1.27258 + 0.125339i −0.711657 0.702527i \(-0.752055\pi\)
−0.560927 + 0.827865i \(0.689555\pi\)
\(270\) 2.09790 0.951920i 0.127674 0.0579320i
\(271\) −9.42446 3.90374i −0.572495 0.237135i 0.0776046 0.996984i \(-0.475273\pi\)
−0.650100 + 0.759849i \(0.725273\pi\)
\(272\) 15.3153 + 4.06809i 0.928628 + 0.246664i
\(273\) −30.3406 + 12.5675i −1.83629 + 0.760618i
\(274\) −11.1217 + 11.8874i −0.671884 + 0.718144i
\(275\) 8.22158 + 6.74728i 0.495780 + 0.406876i
\(276\) 11.0103 + 4.97431i 0.662744 + 0.299418i
\(277\) −8.58630 + 2.60463i −0.515901 + 0.156497i −0.537490 0.843270i \(-0.680627\pi\)
0.0215891 + 0.999767i \(0.493127\pi\)
\(278\) −8.12063 + 10.5949i −0.487043 + 0.635441i
\(279\) 0.501489 + 2.52116i 0.0300234 + 0.150938i
\(280\) −0.0360179 22.1034i −0.00215248 1.32093i
\(281\) 19.0300 + 3.78530i 1.13524 + 0.225812i 0.726716 0.686938i \(-0.241045\pi\)
0.408519 + 0.912750i \(0.366045\pi\)
\(282\) −0.306983 + 4.72296i −0.0182805 + 0.281248i
\(283\) −18.4339 + 15.1283i −1.09578 + 0.899284i −0.995413 0.0956663i \(-0.969502\pi\)
−0.100367 + 0.994950i \(0.532002\pi\)
\(284\) −0.617775 + 0.166252i −0.0366582 + 0.00986523i
\(285\) −3.62658 6.78486i −0.214820 0.401901i
\(286\) −23.1539 + 37.2796i −1.36912 + 2.20439i
\(287\) 8.35720 + 8.35720i 0.493310 + 0.493310i
\(288\) 5.57877 0.936631i 0.328732 0.0551915i
\(289\) −0.923275 + 0.923275i −0.0543103 + 0.0543103i
\(290\) 0.948649 + 4.05856i 0.0557066 + 0.238327i
\(291\) −10.4584 + 5.59014i −0.613083 + 0.327700i
\(292\) 4.57474 3.51823i 0.267717 0.205889i
\(293\) 17.4578 + 21.2724i 1.01990 + 1.24275i 0.969774 + 0.244004i \(0.0784611\pi\)
0.0501223 + 0.998743i \(0.484039\pi\)
\(294\) −17.0183 + 14.9410i −0.992528 + 0.871378i
\(295\) −2.39933 + 12.0622i −0.139694 + 0.702291i
\(296\) −2.38282 + 0.478011i −0.138499 + 0.0277838i
\(297\) −4.44585 + 0.884335i −0.257975 + 0.0513143i
\(298\) −1.65512 12.5194i −0.0958787 0.725227i
\(299\) −12.0045 39.5737i −0.694241 2.28861i
\(300\) −3.42152 + 3.21158i −0.197541 + 0.185421i
\(301\) 6.33804 7.72293i 0.365319 0.445142i
\(302\) 7.58557 0.252450i 0.436500 0.0145269i
\(303\) −5.74095 13.8599i −0.329809 0.796229i
\(304\) −4.32959 18.3878i −0.248319 1.05462i
\(305\) 7.78928 18.8050i 0.446013 1.07677i
\(306\) 1.97065 5.24453i 0.112655 0.299810i
\(307\) −1.73227 17.5881i −0.0988661 1.00380i −0.908786 0.417263i \(-0.862989\pi\)
0.809920 0.586541i \(-0.199511\pi\)
\(308\) −9.82980 + 42.3658i −0.560105 + 2.41401i
\(309\) 6.00521 11.2349i 0.341624 0.639134i
\(310\) 2.96376 + 5.12694i 0.168330 + 0.291191i
\(311\) 15.9755 23.9090i 0.905885 1.35575i −0.0285395 0.999593i \(-0.509086\pi\)
0.934425 0.356160i \(-0.115914\pi\)
\(312\) −14.9875 12.2591i −0.848498 0.694033i
\(313\) 9.17356 6.12957i 0.518520 0.346464i −0.268612 0.963248i \(-0.586565\pi\)
0.787132 + 0.616784i \(0.211565\pi\)
\(314\) −10.6585 + 3.62453i −0.601494 + 0.204544i
\(315\) −7.77710 0.765977i −0.438190 0.0431579i
\(316\) 1.65008 1.88569i 0.0928245 0.106078i
\(317\) 26.2393 + 7.95959i 1.47374 + 0.447055i 0.922076 0.387009i \(-0.126492\pi\)
0.551667 + 0.834064i \(0.313992\pi\)
\(318\) 2.81592 2.02018i 0.157909 0.113286i
\(319\) 8.20098i 0.459167i
\(320\) 11.4732 6.18070i 0.641370 0.345512i
\(321\) 13.4242i 0.749265i
\(322\) −23.8901 33.3003i −1.33134 1.85575i
\(323\) −17.9037 5.43104i −0.996190 0.302191i
\(324\) −0.132974 1.99557i −0.00738746 0.110865i
\(325\) 15.9849 + 1.57438i 0.886684 + 0.0873308i
\(326\) −0.223287 0.656611i −0.0123667 0.0363663i
\(327\) −1.06142 + 0.709217i −0.0586966 + 0.0392198i
\(328\) −2.01194 + 6.67159i −0.111091 + 0.368377i
\(329\) 8.91956 13.3491i 0.491751 0.735958i
\(330\) −9.04095 + 5.22634i −0.497688 + 0.287701i
\(331\) −6.63929 + 12.4212i −0.364929 + 0.682733i −0.995639 0.0932846i \(-0.970263\pi\)
0.630711 + 0.776018i \(0.282763\pi\)
\(332\) 0.502671 0.313339i 0.0275877 0.0171967i
\(333\) 0.0842202 + 0.855102i 0.00461524 + 0.0468593i
\(334\) −19.9736 7.50515i −1.09291 0.410663i
\(335\) −5.26490 + 12.7106i −0.287652 + 0.694454i
\(336\) −17.9737 6.72026i −0.980543 0.366620i
\(337\) −4.83897 11.6823i −0.263596 0.636376i 0.735560 0.677459i \(-0.236919\pi\)
−0.999156 + 0.0410834i \(0.986919\pi\)
\(338\) 1.59293 + 47.8639i 0.0866439 + 2.60345i
\(339\) 7.48814 9.12433i 0.406700 0.495565i
\(340\) 0.408290 12.9005i 0.0221426 0.699629i
\(341\) −3.38245 11.1504i −0.183170 0.603830i
\(342\) −6.62125 + 0.875364i −0.358036 + 0.0473342i
\(343\) 42.4084 8.43556i 2.28984 0.455477i
\(344\) 5.77917 + 1.13976i 0.311592 + 0.0614518i
\(345\) 1.91983 9.65164i 0.103360 0.519627i
\(346\) −1.33024 1.51519i −0.0715142 0.0814570i
\(347\) 7.65700 + 9.33008i 0.411049 + 0.500865i 0.936845 0.349746i \(-0.113732\pi\)
−0.525795 + 0.850611i \(0.676232\pi\)
\(348\) 3.58794 + 0.468397i 0.192334 + 0.0251087i
\(349\) −2.41604 + 1.29140i −0.129328 + 0.0691271i −0.534792 0.844984i \(-0.679610\pi\)
0.405464 + 0.914111i \(0.367110\pi\)
\(350\) 15.5004 3.62307i 0.828532 0.193661i
\(351\) −4.84064 + 4.84064i −0.258374 + 0.258374i
\(352\) −24.7504 + 6.70395i −1.31920 + 0.357321i
\(353\) −5.99949 5.99949i −0.319320 0.319320i 0.529186 0.848506i \(-0.322498\pi\)
−0.848506 + 0.529186i \(0.822498\pi\)
\(354\) 9.06992 + 5.63321i 0.482061 + 0.299402i
\(355\) 0.245637 + 0.459554i 0.0130370 + 0.0243906i
\(356\) 14.9369 25.9366i 0.791656 1.37463i
\(357\) −14.6908 + 12.0565i −0.777521 + 0.638095i
\(358\) −5.87778 0.382044i −0.310650 0.0201916i
\(359\) −20.0222 3.98267i −1.05673 0.210197i −0.364006 0.931397i \(-0.618591\pi\)
−0.692728 + 0.721199i \(0.743591\pi\)
\(360\) −1.77016 4.25393i −0.0932957 0.224202i
\(361\) 0.644506 + 3.24015i 0.0339214 + 0.170534i
\(362\) −1.70441 1.30637i −0.0895816 0.0686611i
\(363\) 9.13653 2.77154i 0.479544 0.145468i
\(364\) 23.2028 + 61.4458i 1.21616 + 3.22064i
\(365\) −3.63364 2.98205i −0.190193 0.156088i
\(366\) −12.9036 12.0724i −0.674484 0.631036i
\(367\) 0.791209 0.327729i 0.0413008 0.0171073i −0.361937 0.932202i \(-0.617885\pi\)
0.403238 + 0.915095i \(0.367885\pi\)
\(368\) 10.6402 21.6949i 0.554660 1.13093i
\(369\) 2.27615 + 0.942812i 0.118492 + 0.0490808i
\(370\) 0.817928 + 1.80260i 0.0425220 + 0.0937127i
\(371\) −11.6993 + 1.15228i −0.607397 + 0.0598234i
\(372\) 5.07151 0.842971i 0.262946 0.0437060i
\(373\) 24.5720 + 13.1340i 1.27229 + 0.680054i 0.962637 0.270795i \(-0.0872867\pi\)
0.309654 + 0.950849i \(0.399787\pi\)
\(374\) −6.55967 + 24.5343i −0.339192 + 1.26864i
\(375\) 9.95039 + 6.64864i 0.513836 + 0.343334i
\(376\) 9.42176 + 0.912463i 0.485890 + 0.0470567i
\(377\) −6.88085 10.2979i −0.354382 0.530369i
\(378\) −2.99732 + 6.08629i −0.154165 + 0.313045i
\(379\) −2.15822 + 21.9127i −0.110860 + 1.12558i 0.765338 + 0.643629i \(0.222572\pi\)
−0.876198 + 0.481952i \(0.839928\pi\)
\(380\) −13.7924 + 6.82028i −0.707534 + 0.349873i
\(381\) −5.32931 + 17.5684i −0.273029 + 0.900056i
\(382\) −21.3509 3.51314i −1.09241 0.179748i
\(383\) −9.20089 −0.470143 −0.235072 0.971978i \(-0.575533\pi\)
−0.235072 + 0.971978i \(0.575533\pi\)
\(384\) −1.51937 11.2112i −0.0775352 0.572120i
\(385\) 35.4238 1.80536
\(386\) 9.52079 + 1.56658i 0.484596 + 0.0797367i
\(387\) 0.604548 1.99293i 0.0307309 0.101306i
\(388\) 10.5130 + 21.2600i 0.533717 + 1.07931i
\(389\) 1.21153 12.3009i 0.0614272 0.623681i −0.914352 0.404921i \(-0.867299\pi\)
0.975779 0.218760i \(-0.0702011\pi\)
\(390\) −6.96761 + 14.1483i −0.352818 + 0.716426i
\(391\) −13.2958 19.8985i −0.672396 1.00631i
\(392\) 28.7904 + 34.9649i 1.45413 + 1.76599i
\(393\) −1.82445 1.21906i −0.0920312 0.0614933i
\(394\) 5.79984 21.6924i 0.292192 1.09285i
\(395\) −1.79993 0.962081i −0.0905641 0.0484075i
\(396\) 1.48651 + 8.94320i 0.0747000 + 0.449413i
\(397\) −10.9149 + 1.07502i −0.547803 + 0.0539539i −0.368133 0.929773i \(-0.620003\pi\)
−0.179670 + 0.983727i \(0.557503\pi\)
\(398\) −8.13690 17.9326i −0.407866 0.898880i
\(399\) 20.9312 + 8.66997i 1.04787 + 0.434041i
\(400\) 6.20349 + 7.04279i 0.310174 + 0.352140i
\(401\) −33.3398 + 13.8098i −1.66491 + 0.689628i −0.998436 0.0558999i \(-0.982197\pi\)
−0.666474 + 0.745528i \(0.732197\pi\)
\(402\) 8.72177 + 8.15994i 0.435002 + 0.406981i
\(403\) −13.6028 11.1635i −0.677605 0.556096i
\(404\) −28.0691 + 10.5993i −1.39649 + 0.527334i
\(405\) −1.55886 + 0.472876i −0.0774606 + 0.0234974i
\(406\) −9.74177 7.46672i −0.483476 0.370567i
\(407\) −0.759856 3.82005i −0.0376647 0.189353i
\(408\) −10.3591 4.27113i −0.512854 0.211453i
\(409\) −33.1458 6.59310i −1.63895 0.326008i −0.712285 0.701890i \(-0.752340\pi\)
−0.926667 + 0.375883i \(0.877340\pi\)
\(410\) 5.66381 + 0.368136i 0.279716 + 0.0181809i
\(411\) 8.89804 7.30243i 0.438908 0.360203i
\(412\) −22.0787 12.7152i −1.08774 0.626433i
\(413\) −17.0729 31.9412i −0.840103 1.57172i
\(414\) −7.25732 4.50743i −0.356678 0.221528i
\(415\) −0.341150 0.341150i −0.0167464 0.0167464i
\(416\) −25.4541 + 29.1843i −1.24799 + 1.43088i
\(417\) 6.67453 6.67453i 0.326853 0.326853i
\(418\) 29.4804 6.89074i 1.44193 0.337037i
\(419\) −24.8930 + 13.3056i −1.21610 + 0.650020i −0.949494 0.313785i \(-0.898403\pi\)
−0.266608 + 0.963805i \(0.585903\pi\)
\(420\) −2.02322 + 15.4979i −0.0987229 + 0.756222i
\(421\) 12.0089 + 14.6328i 0.585276 + 0.713161i 0.978492 0.206285i \(-0.0661375\pi\)
−0.393216 + 0.919446i \(0.628638\pi\)
\(422\) 22.5141 + 25.6443i 1.09597 + 1.24834i
\(423\) 0.652905 3.28238i 0.0317453 0.159595i
\(424\) −3.86018 5.75683i −0.187467 0.279576i
\(425\) 9.11662 1.81341i 0.442221 0.0879632i
\(426\) 0.448472 0.0592904i 0.0217286 0.00287263i
\(427\) 17.4000 + 57.3600i 0.842044 + 2.77585i
\(428\) 26.8349 + 0.849303i 1.29712 + 0.0410526i
\(429\) 19.6860 23.9875i 0.950449 1.15813i
\(430\) −0.159585 4.79518i −0.00769588 0.231244i
\(431\) 2.66732 + 6.43948i 0.128480 + 0.310179i 0.975009 0.222164i \(-0.0713119\pi\)
−0.846529 + 0.532342i \(0.821312\pi\)
\(432\) −3.99756 + 0.139562i −0.192333 + 0.00671469i
\(433\) 13.5526 32.7189i 0.651297 1.57237i −0.159601 0.987182i \(-0.551021\pi\)
0.810898 0.585188i \(-0.198979\pi\)
\(434\) −16.3249 6.13415i −0.783623 0.294449i
\(435\) −0.288875 2.93300i −0.0138505 0.140627i
\(436\) 1.35057 + 2.16664i 0.0646807 + 0.103763i
\(437\) −13.4486 + 25.1606i −0.643335 + 1.20360i
\(438\) −3.53299 + 2.04233i −0.168813 + 0.0975863i
\(439\) −3.39594 + 5.08238i −0.162079 + 0.242569i −0.903616 0.428344i \(-0.859097\pi\)
0.741537 + 0.670912i \(0.234097\pi\)
\(440\) 9.87547 + 18.4035i 0.470794 + 0.877352i
\(441\) 13.3146 8.89656i 0.634031 0.423646i
\(442\) 12.3480 + 36.3113i 0.587335 + 1.72715i
\(443\) −38.7782 3.81932i −1.84241 0.181461i −0.884118 0.467264i \(-0.845240\pi\)
−0.958289 + 0.285802i \(0.907740\pi\)
\(444\) 1.71468 0.114257i 0.0813750 0.00542239i
\(445\) −23.3286 7.07664i −1.10588 0.335465i
\(446\) −21.7315 30.2915i −1.02901 1.43434i
\(447\) 8.92955i 0.422353i
\(448\) −14.5709 + 35.5042i −0.688411 + 1.67741i
\(449\) 7.70267i 0.363511i 0.983344 + 0.181756i \(0.0581780\pi\)
−0.983344 + 0.181756i \(0.941822\pi\)
\(450\) 2.69615 1.93425i 0.127098 0.0911814i
\(451\) −10.6869 3.24183i −0.503226 0.152652i
\(452\) −17.7658 15.5461i −0.835632 0.731225i
\(453\) −5.34093 0.526036i −0.250939 0.0247153i
\(454\) −15.9677 + 5.42999i −0.749402 + 0.254842i
\(455\) 44.4814 29.7215i 2.08532 1.39337i
\(456\) 1.33095 + 13.2913i 0.0623273 + 0.622420i
\(457\) −7.03703 + 10.5317i −0.329178 + 0.492650i −0.958734 0.284305i \(-0.908237\pi\)
0.629555 + 0.776956i \(0.283237\pi\)
\(458\) 14.6977 + 25.4253i 0.686781 + 1.18805i
\(459\) −1.86749 + 3.49382i −0.0871668 + 0.163078i
\(460\) −19.1722 4.44837i −0.893907 0.207406i
\(461\) −2.95102 29.9622i −0.137443 1.39548i −0.778335 0.627849i \(-0.783935\pi\)
0.640892 0.767631i \(-0.278565\pi\)
\(462\) 10.8171 28.7877i 0.503256 1.33933i
\(463\) −2.27140 + 5.48364i −0.105561 + 0.254846i −0.967831 0.251603i \(-0.919042\pi\)
0.862270 + 0.506449i \(0.169042\pi\)
\(464\) 1.16332 7.14266i 0.0540058 0.331590i
\(465\) −1.60247 3.86869i −0.0743126 0.179406i
\(466\) −6.44953 + 0.214643i −0.298769 + 0.00994313i
\(467\) 18.3590 22.3705i 0.849554 1.03518i −0.149369 0.988782i \(-0.547724\pi\)
0.998923 0.0464031i \(-0.0147759\pi\)
\(468\) 9.37019 + 9.98269i 0.433137 + 0.461450i
\(469\) −11.7609 38.7706i −0.543069 1.79026i
\(470\) −1.01051 7.64347i −0.0466111 0.352567i
\(471\) 7.80760 1.55303i 0.359755 0.0715598i
\(472\) 11.8346 17.7744i 0.544732 0.818131i
\(473\) −1.84172 + 9.25894i −0.0846823 + 0.425727i
\(474\) −1.33148 + 1.16896i −0.0611569 + 0.0536920i
\(475\) −7.02968 8.56569i −0.322544 0.393021i
\(476\) 23.1714 + 30.1297i 1.06206 + 1.38099i
\(477\) −2.16120 + 1.15519i −0.0989547 + 0.0528924i
\(478\) 4.51372 + 19.3108i 0.206453 + 0.883257i
\(479\) −22.0116 + 22.0116i −1.00574 + 1.00574i −0.00575333 + 0.999983i \(0.501831\pi\)
−0.999983 + 0.00575333i \(0.998169\pi\)
\(480\) −8.61559 + 3.26942i −0.393246 + 0.149228i
\(481\) −4.15927 4.15927i −0.189646 0.189646i
\(482\) 10.6204 17.0996i 0.483744 0.778867i
\(483\) 13.6609 + 25.5578i 0.621594 + 1.16292i
\(484\) −4.96226 18.4393i −0.225557 0.838148i
\(485\) 14.9329 12.2551i 0.678069 0.556477i
\(486\) −0.0917275 + 1.41124i −0.00416084 + 0.0640149i
\(487\) 3.55644 + 0.707420i 0.161158 + 0.0320563i 0.275010 0.961441i \(-0.411319\pi\)
−0.113852 + 0.993498i \(0.536319\pi\)
\(488\) −24.9491 + 25.0306i −1.12939 + 1.13308i
\(489\) 0.0956734 + 0.480982i 0.00432650 + 0.0217508i
\(490\) 22.4420 29.2799i 1.01383 1.32273i
\(491\) 6.34241 1.92395i 0.286229 0.0868267i −0.143905 0.989591i \(-0.545966\pi\)
0.430135 + 0.902765i \(0.358466\pi\)
\(492\) 2.02868 4.49037i 0.0914602 0.202442i
\(493\) −5.54040 4.54689i −0.249527 0.204782i
\(494\) 31.2367 33.3875i 1.40541 1.50217i
\(495\) 6.82213 2.82582i 0.306632 0.127011i
\(496\) −1.36424 10.1913i −0.0612562 0.457602i
\(497\) −1.41772 0.587237i −0.0635932 0.0263412i
\(498\) −0.381415 + 0.173067i −0.0170916 + 0.00775530i
\(499\) 10.4654 1.03076i 0.468498 0.0461430i 0.138986 0.990294i \(-0.455616\pi\)
0.329512 + 0.944151i \(0.393116\pi\)
\(500\) 13.9202 19.4702i 0.622528 0.870733i
\(501\) 13.3061 + 7.11225i 0.594472 + 0.317752i
\(502\) −2.11232 0.564764i −0.0942774 0.0252067i
\(503\) 20.9585 + 14.0040i 0.934493 + 0.624408i 0.926797 0.375562i \(-0.122550\pi\)
0.00769601 + 0.999970i \(0.497550\pi\)
\(504\) 11.9768 + 6.37669i 0.533491 + 0.284040i
\(505\) 13.5771 + 20.3195i 0.604172 + 0.904208i
\(506\) 34.7414 + 17.1091i 1.54444 + 0.760592i
\(507\) 3.31921 33.7006i 0.147412 1.49669i
\(508\) 34.7820 + 11.7648i 1.54320 + 0.521978i
\(509\) 6.50072 21.4300i 0.288139 0.949869i −0.686696 0.726944i \(-0.740940\pi\)
0.974836 0.222924i \(-0.0715602\pi\)
\(510\) −1.48179 + 9.00551i −0.0656148 + 0.398771i
\(511\) 13.8428 0.612368
\(512\) −22.5073 + 2.32793i −0.994694 + 0.102881i
\(513\) 4.72267 0.208511
\(514\) 0.137100 0.833217i 0.00604722 0.0367516i
\(515\) −6.02405 + 19.8586i −0.265452 + 0.875077i
\(516\) −3.94561 1.33458i −0.173696 0.0587514i
\(517\) −1.48695 + 15.0973i −0.0653962 + 0.663978i
\(518\) −5.22958 2.57541i −0.229775 0.113157i
\(519\) 0.792086 + 1.18544i 0.0347687 + 0.0520350i
\(520\) 27.8416 + 14.8234i 1.22093 + 0.650047i
\(521\) −14.9880 10.0146i −0.656634 0.438749i 0.182107 0.983279i \(-0.441708\pi\)
−0.838742 + 0.544530i \(0.816708\pi\)
\(522\) −2.47176 0.660868i −0.108186 0.0289254i
\(523\) −7.87185 4.20759i −0.344212 0.183985i 0.290227 0.956958i \(-0.406269\pi\)
−0.634440 + 0.772973i \(0.718769\pi\)
\(524\) −2.55232 + 3.56994i −0.111499 + 0.155954i
\(525\) −11.2017 + 1.10327i −0.488881 + 0.0481506i
\(526\) −23.9203 + 10.8538i −1.04297 + 0.473248i
\(527\) −9.40831 3.89705i −0.409833 0.169758i
\(528\) 17.9715 2.40573i 0.782109 0.104696i
\(529\) −12.4657 + 5.16348i −0.541989 + 0.224499i
\(530\) −3.85700 + 4.12256i −0.167537 + 0.179073i
\(531\) −5.83601 4.78949i −0.253261 0.207846i
\(532\) 18.6555 41.2929i 0.808819 1.79027i
\(533\) −16.1394 + 4.89584i −0.699076 + 0.212063i
\(534\) −12.8746 + 16.7974i −0.557139 + 0.726895i
\(535\) −4.26626 21.4479i −0.184446 0.927275i
\(536\) 16.8635 16.9186i 0.728393 0.730771i
\(537\) 4.08496 + 0.812548i 0.176279 + 0.0350641i
\(538\) 1.92379 29.5977i 0.0829406 1.27605i
\(539\) −56.1112 + 46.0493i −2.41688 + 1.98348i
\(540\) 0.846655 + 3.14609i 0.0364342 + 0.135386i
\(541\) 19.3845 + 36.2658i 0.833403 + 1.55919i 0.829035 + 0.559196i \(0.188890\pi\)
0.00436741 + 0.999990i \(0.498610\pi\)
\(542\) 7.61143 12.2550i 0.326939 0.526398i
\(543\) 1.07373 + 1.07373i 0.0460782 + 0.0460782i
\(544\) −9.19338 + 20.4377i −0.394163 + 0.876259i
\(545\) 1.47045 1.47045i 0.0629870 0.0629870i
\(546\) −10.5707 45.2243i −0.452386 1.93542i
\(547\) 34.8961 18.6523i 1.49205 0.797517i 0.494615 0.869112i \(-0.335309\pi\)
0.997434 + 0.0715954i \(0.0228090\pi\)
\(548\) −14.0346 18.2492i −0.599529 0.779566i
\(549\) 7.92671 + 9.65872i 0.338304 + 0.412224i
\(550\) −11.3033 + 9.92355i −0.481972 + 0.423142i
\(551\) −1.66690 + 8.38005i −0.0710121 + 0.357002i
\(552\) −9.46949 + 14.2222i −0.403048 + 0.605338i
\(553\) 5.89475 1.17254i 0.250670 0.0498614i
\(554\) −1.66311 12.5798i −0.0706590 0.534465i
\(555\) −0.406314 1.33944i −0.0172471 0.0568560i
\(556\) −12.9201 13.7646i −0.547934 0.583751i
\(557\) 7.89816 9.62393i 0.334656 0.407779i −0.578309 0.815818i \(-0.696287\pi\)
0.912965 + 0.408039i \(0.133787\pi\)
\(558\) −3.63329 + 0.120917i −0.153809 + 0.00511884i
\(559\) 5.45587 + 13.1716i 0.230759 + 0.557101i
\(560\) 30.8524 + 5.02491i 1.30375 + 0.212341i
\(561\) 6.87213 16.5908i 0.290142 0.700464i
\(562\) −9.65170 + 25.6863i −0.407132 + 1.08351i
\(563\) −2.73601 27.7792i −0.115309 1.17075i −0.862469 0.506110i \(-0.831083\pi\)
0.747160 0.664644i \(-0.231417\pi\)
\(564\) −6.52016 1.51282i −0.274548 0.0637013i
\(565\) −9.06412 + 16.9578i −0.381330 + 0.713419i
\(566\) −16.8782 29.1972i −0.709442 1.22725i
\(567\) 2.66520 3.98875i 0.111928 0.167512i
\(568\) −0.0901480 0.900247i −0.00378253 0.0377735i
\(569\) −7.34811 + 4.90985i −0.308049 + 0.205832i −0.699979 0.714163i \(-0.746807\pi\)
0.391930 + 0.919995i \(0.371807\pi\)
\(570\) 10.3006 3.50284i 0.431446 0.146718i
\(571\) 6.82086 + 0.671796i 0.285444 + 0.0281138i 0.239726 0.970841i \(-0.422942\pi\)
0.0457181 + 0.998954i \(0.485442\pi\)
\(572\) −46.7055 40.8699i −1.95285 1.70886i
\(573\) 14.6416 + 4.44148i 0.611661 + 0.185545i
\(574\) −13.5810 + 9.74314i −0.566858 + 0.406671i
\(575\) 14.1740i 0.591097i
\(576\) 0.0260723 + 7.99996i 0.00108634 + 0.333332i
\(577\) 5.13038i 0.213581i 0.994282 + 0.106790i \(0.0340573\pi\)
−0.994282 + 0.106790i \(0.965943\pi\)
\(578\) −1.07639 1.50038i −0.0447719 0.0624075i
\(579\) −6.52896 1.98054i −0.271334 0.0823084i
\(580\) −5.88134 + 0.391901i −0.244209 + 0.0162728i
\(581\) 1.41394 + 0.139261i 0.0586600 + 0.00577751i
\(582\) −5.39939 15.8777i −0.223812 0.658154i
\(583\) 9.23620 6.17143i 0.382524 0.255595i
\(584\) 3.85910 + 7.19165i 0.159691 + 0.297593i
\(585\) 6.19556 9.27231i 0.256155 0.383363i
\(586\) −33.6931 + 19.4771i −1.39185 + 0.804592i
\(587\) 4.18093 7.82196i 0.172565 0.322847i −0.780740 0.624856i \(-0.785157\pi\)
0.953305 + 0.302010i \(0.0976575\pi\)
\(588\) −16.9418 27.1788i −0.698670 1.12084i
\(589\) 1.18991 + 12.0814i 0.0490295 + 0.497805i
\(590\) −16.2813 6.11777i −0.670292 0.251864i
\(591\) −6.07611 + 14.6690i −0.249938 + 0.603403i
\(592\) −0.119917 3.43487i −0.00492857 0.141172i
\(593\) 7.00234 + 16.9051i 0.287551 + 0.694211i 0.999972 0.00754264i \(-0.00240092\pi\)
−0.712420 + 0.701753i \(0.752401\pi\)
\(594\) −0.213228 6.40701i −0.00874884 0.262883i
\(595\) 19.6401 23.9315i 0.805165 0.981096i
\(596\) 17.8502 + 0.564942i 0.731171 + 0.0231409i
\(597\) 4.04209 + 13.3250i 0.165432 + 0.545355i
\(598\) 57.9795 7.66518i 2.37096 0.313453i
\(599\) −6.36540 + 1.26616i −0.260083 + 0.0517338i −0.323410 0.946259i \(-0.604829\pi\)
0.0633262 + 0.997993i \(0.479829\pi\)
\(600\) −3.69599 5.51197i −0.150888 0.225025i
\(601\) 1.14323 5.74739i 0.0466332 0.234441i −0.950439 0.310912i \(-0.899365\pi\)
0.997072 + 0.0764715i \(0.0243654\pi\)
\(602\) 9.32167 + 10.6177i 0.379923 + 0.432745i
\(603\) −5.35779 6.52848i −0.218186 0.265860i
\(604\) −1.38945 + 10.6432i −0.0565358 + 0.433067i
\(605\) −13.7167 + 7.33173i −0.557663 + 0.298077i
\(606\) 20.6589 4.82882i 0.839212 0.196157i
\(607\) 23.3150 23.3150i 0.946326 0.946326i −0.0523052 0.998631i \(-0.516657\pi\)
0.998631 + 0.0523052i \(0.0166569\pi\)
\(608\) 26.6534 1.81967i 1.08094 0.0737973i
\(609\) 6.13706 + 6.13706i 0.248686 + 0.248686i
\(610\) 24.4529 + 15.1874i 0.990069 + 0.614919i
\(611\) 10.7999 + 20.2052i 0.436916 + 0.817413i
\(612\) 6.86600 + 3.95415i 0.277541 + 0.159837i
\(613\) 9.29854 7.63112i 0.375565 0.308218i −0.427608 0.903964i \(-0.640644\pi\)
0.803173 + 0.595746i \(0.203144\pi\)
\(614\) 24.9410 + 1.62112i 1.00654 + 0.0654229i
\(615\) −3.93625 0.782969i −0.158725 0.0315724i
\(616\) −56.8623 23.4446i −2.29105 0.944611i
\(617\) 1.27090 + 6.38924i 0.0511645 + 0.257221i 0.997899 0.0647951i \(-0.0206394\pi\)
−0.946734 + 0.322016i \(0.895639\pi\)
\(618\) 14.2989 + 10.9596i 0.575188 + 0.440861i
\(619\) 1.64257 0.498268i 0.0660204 0.0200271i −0.257102 0.966384i \(-0.582768\pi\)
0.323122 + 0.946357i \(0.395268\pi\)
\(620\) −7.83490 + 2.95857i −0.314657 + 0.118819i
\(621\) 4.66970 + 3.83232i 0.187389 + 0.153786i
\(622\) 29.6956 + 27.7827i 1.19069 + 1.11399i
\(623\) 66.3262 27.4732i 2.65730 1.10069i
\(624\) 20.5482 18.0994i 0.822587 0.724557i
\(625\) −7.17216 2.97081i −0.286886 0.118832i
\(626\) 6.44716 + 14.2087i 0.257680 + 0.567892i
\(627\) −21.3046 + 2.09832i −0.850822 + 0.0837987i
\(628\) −2.61054 15.7056i −0.104172 0.626723i
\(629\) −3.00203 1.60462i −0.119699 0.0639803i
\(630\) 2.85459 10.6767i 0.113730 0.425369i
\(631\) 28.5484 + 19.0754i 1.13649 + 0.759381i 0.973825 0.227300i \(-0.0729898\pi\)
0.162669 + 0.986681i \(0.447990\pi\)
\(632\) 2.25251 + 2.73558i 0.0895999 + 0.108816i
\(633\) −13.4059 20.0634i −0.532837 0.797447i
\(634\) −17.1320 + 34.7879i −0.680400 + 1.38161i
\(635\) 2.93138 29.7628i 0.116328 1.18110i
\(636\) 2.17249 + 4.39333i 0.0861447 + 0.174207i
\(637\) −31.8218 + 104.903i −1.26083 + 4.15639i
\(638\) 11.4441 + 1.88304i 0.453075 + 0.0745501i
\(639\) −0.319877 −0.0126541
\(640\) 5.99049 + 17.4294i 0.236795 + 0.688957i
\(641\) 2.52462 0.0997165 0.0498582 0.998756i \(-0.484123\pi\)
0.0498582 + 0.998756i \(0.484123\pi\)
\(642\) −18.7328 3.08234i −0.739324 0.121650i
\(643\) 1.12342 3.70341i 0.0443033 0.146048i −0.931998 0.362462i \(-0.881936\pi\)
0.976302 + 0.216414i \(0.0694361\pi\)
\(644\) 51.9543 25.6912i 2.04729 1.01238i
\(645\) −0.332531 + 3.37624i −0.0130934 + 0.132939i
\(646\) 11.6896 23.7367i 0.459922 0.933909i
\(647\) −11.4755 17.1743i −0.451148 0.675190i 0.534276 0.845310i \(-0.320584\pi\)
−0.985423 + 0.170120i \(0.945584\pi\)
\(648\) 2.81526 + 0.272647i 0.110594 + 0.0107106i
\(649\) 28.4550 + 19.0130i 1.11696 + 0.746325i
\(650\) −5.86728 + 21.9447i −0.230134 + 0.860740i
\(651\) 10.8754 + 5.81303i 0.426241 + 0.227831i
\(652\) 0.967536 0.160821i 0.0378917 0.00629823i
\(653\) 21.0012 2.06844i 0.821841 0.0809443i 0.321649 0.946859i \(-0.395763\pi\)
0.500192 + 0.865915i \(0.333263\pi\)
\(654\) −0.745963 1.64400i −0.0291695 0.0642855i
\(655\) 3.30235 + 1.36788i 0.129034 + 0.0534475i
\(656\) −8.84790 4.33943i −0.345453 0.169426i
\(657\) 2.66593 1.10426i 0.104008 0.0430814i
\(658\) 16.5799 + 15.5119i 0.646353 + 0.604717i
\(659\) 2.35478 + 1.93251i 0.0917290 + 0.0752801i 0.679140 0.734009i \(-0.262353\pi\)
−0.587411 + 0.809289i \(0.699853\pi\)
\(660\) −5.21720 13.8162i −0.203079 0.537795i
\(661\) 0.328397 0.0996183i 0.0127732 0.00387470i −0.283892 0.958856i \(-0.591626\pi\)
0.296665 + 0.954982i \(0.404126\pi\)
\(662\) −15.8088 12.1169i −0.614425 0.470935i
\(663\) −5.29084 26.5988i −0.205479 1.03301i
\(664\) 0.321829 + 0.773398i 0.0124894 + 0.0300137i
\(665\) −36.1972 7.20008i −1.40367 0.279207i
\(666\) −1.21259 0.0788159i −0.0469869 0.00305405i
\(667\) −8.44839 + 6.93342i −0.327123 + 0.268463i
\(668\) 15.0592 26.1489i 0.582658 1.01173i
\(669\) 12.4266 + 23.2485i 0.480440 + 0.898840i
\(670\) −16.5281 10.2654i −0.638536 0.396587i
\(671\) −40.0498 40.0498i −1.54611 1.54611i
\(672\) 13.5047 23.5383i 0.520956 0.908009i
\(673\) 17.8017 17.8017i 0.686206 0.686206i −0.275185 0.961391i \(-0.588739\pi\)
0.961391 + 0.275185i \(0.0887391\pi\)
\(674\) 17.4132 4.07015i 0.670730 0.156776i
\(675\) −2.06928 + 1.10605i −0.0796465 + 0.0425720i
\(676\) −67.1574 8.76723i −2.58298 0.337201i
\(677\) 10.1232 + 12.3352i 0.389067 + 0.474080i 0.930304 0.366791i \(-0.119543\pi\)
−0.541236 + 0.840871i \(0.682043\pi\)
\(678\) 11.0132 + 12.5444i 0.422958 + 0.481764i
\(679\) −11.0984 + 55.7956i −0.425919 + 2.14124i
\(680\) 17.9083 + 3.53185i 0.686751 + 0.135440i
\(681\) 11.6967 2.32662i 0.448219 0.0891564i
\(682\) 16.3365 2.15977i 0.625557 0.0827019i
\(683\) 1.80442 + 5.94837i 0.0690442 + 0.227608i 0.984671 0.174420i \(-0.0558052\pi\)
−0.915627 + 0.402029i \(0.868305\pi\)
\(684\) 0.298787 9.44062i 0.0114244 0.360971i
\(685\) −11.8957 + 14.4950i −0.454513 + 0.553825i
\(686\) 2.03395 + 61.1157i 0.0776567 + 2.33341i
\(687\) −7.94689 19.1855i −0.303193 0.731972i
\(688\) −2.91744 + 7.80284i −0.111226 + 0.297480i
\(689\) 6.41983 15.4988i 0.244576 0.590459i
\(690\) 13.0276 + 4.89515i 0.495951 + 0.186355i
\(691\) 0.310713 + 3.15472i 0.0118201 + 0.120011i 0.999284 0.0378332i \(-0.0120456\pi\)
−0.987464 + 0.157844i \(0.949546\pi\)
\(692\) 2.41981 1.50838i 0.0919872 0.0573400i
\(693\) −10.2508 + 19.1779i −0.389396 + 0.728508i
\(694\) −14.7778 + 8.54267i −0.560957 + 0.324275i
\(695\) −8.54275 + 12.7851i −0.324045 + 0.484968i
\(696\) −1.47745 + 4.89924i −0.0560028 + 0.185705i
\(697\) −8.11527 + 5.42245i −0.307388 + 0.205390i
\(698\) −1.24733 3.66798i −0.0472123 0.138835i
\(699\) 4.54106 + 0.447255i 0.171759 + 0.0169167i
\(700\) 1.49674 + 22.4619i 0.0565715 + 0.848981i
\(701\) −34.9106 10.5900i −1.31856 0.399980i −0.448875 0.893594i \(-0.648175\pi\)
−0.869681 + 0.493615i \(0.835675\pi\)
\(702\) −5.64340 7.86633i −0.212997 0.296896i
\(703\) 4.05791i 0.153047i
\(704\) −3.67205 36.0772i −0.138396 1.35971i
\(705\) 5.45177i 0.205326i
\(706\) 9.74953 6.99443i 0.366928 0.263239i
\(707\) −68.8682 20.8910i −2.59006 0.785685i
\(708\) −9.94341 + 11.3632i −0.373696 + 0.427054i
\(709\) 2.21102 + 0.217767i 0.0830367 + 0.00817840i 0.139450 0.990229i \(-0.455466\pi\)
−0.0564134 + 0.998407i \(0.517966\pi\)
\(710\) −0.697685 + 0.237255i −0.0261837 + 0.00890402i
\(711\) 1.04171 0.696050i 0.0390673 0.0261039i
\(712\) 32.7635 + 26.7991i 1.22786 + 1.00434i
\(713\) −8.62717 + 12.9115i −0.323090 + 0.483538i
\(714\) −13.4510 23.2686i −0.503391 0.870806i
\(715\) −23.8292 + 44.5813i −0.891161 + 1.66724i
\(716\) 1.88272 8.11442i 0.0703607 0.303250i
\(717\) −1.37448 13.9554i −0.0513310 0.521172i
\(718\) 10.1549 27.0256i 0.378979 1.00859i
\(719\) −12.6031 + 30.4267i −0.470018 + 1.13472i 0.494138 + 0.869384i \(0.335484\pi\)
−0.964155 + 0.265339i \(0.914516\pi\)
\(720\) 6.34259 1.49342i 0.236374 0.0556565i
\(721\) −23.3868 56.4608i −0.870971 2.10271i
\(722\) −4.66945 + 0.155401i −0.173779 + 0.00578343i
\(723\) −9.02969 + 11.0027i −0.335818 + 0.409195i
\(724\) 2.21432 2.07846i 0.0822945 0.0772452i
\(725\) −1.23225 4.06218i −0.0457645 0.150865i
\(726\) 1.76969 + 13.3859i 0.0656794 + 0.496799i
\(727\) −11.1356 + 2.21502i −0.412998 + 0.0821504i −0.397216 0.917725i \(-0.630024\pi\)
−0.0157817 + 0.999875i \(0.505024\pi\)
\(728\) −91.0722 + 18.2697i −3.37536 + 0.677120i
\(729\) 0.195090 0.980785i 0.00722557 0.0363254i
\(730\) 4.99562 4.38584i 0.184896 0.162327i
\(731\) 5.23402 + 6.37768i 0.193587 + 0.235887i
\(732\) 19.8093 15.2344i 0.732172 0.563080i
\(733\) −9.74581 + 5.20925i −0.359970 + 0.192408i −0.641460 0.767156i \(-0.721671\pi\)
0.281491 + 0.959564i \(0.409171\pi\)
\(734\) 0.275660 + 1.17934i 0.0101748 + 0.0435303i
\(735\) −18.4456 + 18.4456i −0.680374 + 0.680374i
\(736\) 27.8311 + 19.8293i 1.02587 + 0.730918i
\(737\) 27.0703 + 27.0703i 0.997147 + 0.997147i
\(738\) −1.83828 + 2.95977i −0.0676679 + 0.108951i
\(739\) 17.2350 + 32.2445i 0.634001 + 1.18613i 0.969731 + 0.244174i \(0.0785168\pi\)
−0.335731 + 0.941958i \(0.608983\pi\)
\(740\) −2.70324 + 0.727480i −0.0993732 + 0.0267427i
\(741\) −24.9914 + 20.5099i −0.918083 + 0.753451i
\(742\) 1.07834 16.5904i 0.0395871 0.609051i
\(743\) 42.0652 + 8.36728i 1.54322 + 0.306966i 0.892040 0.451957i \(-0.149274\pi\)
0.651181 + 0.758922i \(0.274274\pi\)
\(744\) 0.0118476 + 7.27060i 0.000434354 + 0.266553i
\(745\) −2.83785 14.2668i −0.103971 0.522696i
\(746\) −23.9699 + 31.2733i −0.877599 + 1.14500i
\(747\) 0.283414 0.0859727i 0.0103696 0.00314558i
\(748\) −32.7302 14.7870i −1.19674 0.540667i
\(749\) 49.7810 + 40.8542i 1.81896 + 1.49278i
\(750\) −11.5626 + 12.3587i −0.422205 + 0.451275i
\(751\) 5.30290 2.19653i 0.193506 0.0801526i −0.283826 0.958876i \(-0.591604\pi\)
0.477332 + 0.878723i \(0.341604\pi\)
\(752\) −3.43664 + 12.9381i −0.125321 + 0.471803i
\(753\) 1.42841 + 0.591667i 0.0520541 + 0.0215615i
\(754\) 15.9501 7.23736i 0.580870 0.263569i
\(755\) 8.70043 0.856917i 0.316641 0.0311864i
\(756\) −7.80489 5.58008i −0.283861 0.202946i
\(757\) 9.61029 + 5.13681i 0.349292 + 0.186700i 0.636707 0.771106i \(-0.280296\pi\)
−0.287415 + 0.957806i \(0.592796\pi\)
\(758\) −30.0825 8.04308i −1.09265 0.292138i
\(759\) −22.7683 15.2133i −0.826438 0.552208i
\(760\) −6.35048 20.8126i −0.230356 0.754951i
\(761\) 7.61171 + 11.3917i 0.275924 + 0.412950i 0.943387 0.331693i \(-0.107620\pi\)
−0.667463 + 0.744643i \(0.732620\pi\)
\(762\) −23.2921 11.4707i −0.843785 0.415539i
\(763\) −0.600251 + 6.09445i −0.0217305 + 0.220634i
\(764\) 9.80483 28.9875i 0.354726 1.04873i
\(765\) 1.87335 6.17560i 0.0677310 0.223279i
\(766\) 2.11263 12.8394i 0.0763323 0.463905i
\(767\) 51.6831 1.86617
\(768\) 15.9936 + 0.454012i 0.577118 + 0.0163827i
\(769\) −29.4575 −1.06226 −0.531132 0.847289i \(-0.678233\pi\)
−0.531132 + 0.847289i \(0.678233\pi\)
\(770\) −8.13369 + 49.4321i −0.293118 + 1.78141i
\(771\) −0.173328 + 0.571385i −0.00624225 + 0.0205779i
\(772\) −4.37216 + 12.9261i −0.157357 + 0.465220i
\(773\) 2.71402 27.5559i 0.0976166 0.991118i −0.814218 0.580560i \(-0.802834\pi\)
0.911834 0.410558i \(-0.134666\pi\)
\(774\) 2.64222 + 1.30121i 0.0949725 + 0.0467711i
\(775\) −3.35084 5.01489i −0.120366 0.180140i
\(776\) −32.0812 + 9.78884i −1.15165 + 0.351399i
\(777\) 3.42729 + 2.29004i 0.122953 + 0.0821548i
\(778\) 16.8871 + 4.51506i 0.605433 + 0.161873i
\(779\) 10.2613 + 5.48479i 0.367650 + 0.196513i
\(780\) −18.1434 12.9715i −0.649637 0.464456i
\(781\) 1.44301 0.142124i 0.0516348 0.00508559i
\(782\) 30.8202 13.9847i 1.10213 0.500090i
\(783\) 1.67148 + 0.692348i 0.0597337 + 0.0247425i
\(784\) −55.4023 + 32.1472i −1.97865 + 1.14812i
\(785\) −11.9807 + 4.96257i −0.427610 + 0.177122i
\(786\) 2.12004 2.26601i 0.0756195 0.0808260i
\(787\) 6.78283 + 5.56653i 0.241782 + 0.198425i 0.747478 0.664286i \(-0.231264\pi\)
−0.505696 + 0.862711i \(0.668764\pi\)
\(788\) 28.9390 + 13.0742i 1.03091 + 0.465749i
\(789\) 17.7742 5.39174i 0.632778 0.191951i
\(790\) 1.75582 2.29080i 0.0624692 0.0815031i
\(791\) −11.0469 55.5366i −0.392783 1.97466i
\(792\) −12.8211 + 0.0208923i −0.455578 + 0.000742374i
\(793\) −83.8931 16.6874i −2.97913 0.592586i
\(794\) 1.00604 15.4780i 0.0357030 0.549294i
\(795\) 3.08585 2.53249i 0.109444 0.0898182i
\(796\) 26.8923 7.23710i 0.953174 0.256512i
\(797\) 19.8274 + 37.0945i 0.702324 + 1.31396i 0.939520 + 0.342494i \(0.111272\pi\)
−0.237196 + 0.971462i \(0.576228\pi\)
\(798\) −16.9045 + 27.2177i −0.598414 + 0.963495i
\(799\) 9.37498 + 9.37498i 0.331663 + 0.331663i
\(800\) −11.2523 + 7.03955i −0.397827 + 0.248886i
\(801\) 10.5819 10.5819i 0.373894 0.373894i
\(802\) −11.6157 49.6949i −0.410164 1.75479i
\(803\) −11.5357 + 6.16595i −0.407086 + 0.217592i
\(804\) −13.3894 + 10.2972i −0.472208 + 0.363153i
\(805\) −29.9486 36.4924i −1.05555 1.28619i
\(806\) 18.7015 16.4188i 0.658733 0.578327i
\(807\) −4.09161 + 20.5699i −0.144032 + 0.724096i
\(808\) −8.34579 41.6027i −0.293604 1.46358i
\(809\) 24.2060 4.81488i 0.851039 0.169282i 0.249747 0.968311i \(-0.419653\pi\)
0.601293 + 0.799029i \(0.294653\pi\)
\(810\) −0.301942 2.28389i −0.0106092 0.0802479i
\(811\) −14.7329 48.5678i −0.517341 1.70544i −0.692951 0.720985i \(-0.743690\pi\)
0.175610 0.984460i \(-0.443810\pi\)
\(812\) 12.6562 11.8797i 0.444147 0.416896i
\(813\) −6.47142 + 7.88545i −0.226963 + 0.276555i
\(814\) 5.50516 0.183214i 0.192956 0.00642164i
\(815\) −0.305716 0.738064i −0.0107088 0.0258533i
\(816\) 8.33872 13.4750i 0.291914 0.471718i
\(817\) 3.76386 9.08677i 0.131681 0.317906i
\(818\) 16.8110 44.7394i 0.587782 1.56428i
\(819\) 3.21892 + 32.6822i 0.112478 + 1.14201i
\(820\) −1.81419 + 7.81903i −0.0633542 + 0.273052i
\(821\) −7.56595 + 14.1549i −0.264054 + 0.494010i −0.978652 0.205526i \(-0.934110\pi\)
0.714598 + 0.699535i \(0.246610\pi\)
\(822\) 8.14709 + 14.0935i 0.284162 + 0.491567i
\(823\) −7.01610 + 10.5003i −0.244566 + 0.366019i −0.933362 0.358936i \(-0.883140\pi\)
0.688796 + 0.724955i \(0.258140\pi\)
\(824\) 22.8129 27.8902i 0.794726 0.971601i
\(825\) 8.84334 5.90893i 0.307886 0.205723i
\(826\) 48.4924 16.4903i 1.68727 0.573772i
\(827\) 30.2576 + 2.98012i 1.05216 + 0.103629i 0.609283 0.792953i \(-0.291457\pi\)
0.442878 + 0.896582i \(0.353957\pi\)
\(828\) 7.95625 9.09227i 0.276499 0.315978i
\(829\) −7.41190 2.24838i −0.257426 0.0780893i 0.158934 0.987289i \(-0.449194\pi\)
−0.416360 + 0.909200i \(0.636694\pi\)
\(830\) 0.554389 0.397725i 0.0192431 0.0138052i
\(831\) 8.97266i 0.311258i
\(832\) −34.8807 42.2209i −1.20927 1.46375i
\(833\) 63.4387i 2.19802i
\(834\) 7.78142 + 10.8465i 0.269448 + 0.375584i
\(835\) −23.5195 7.13457i −0.813927 0.246902i
\(836\) 2.84666 + 42.7205i 0.0984540 + 1.47752i
\(837\) 2.55817 + 0.251958i 0.0884233 + 0.00870893i
\(838\) −12.8516 37.7920i −0.443950 1.30550i
\(839\) −31.5970 + 21.1124i −1.09085 + 0.728882i −0.964759 0.263137i \(-0.915243\pi\)
−0.126090 + 0.992019i \(0.540243\pi\)
\(840\) −21.1620 6.38180i −0.730160 0.220193i
\(841\) 14.2931 21.3911i 0.492864 0.737623i
\(842\) −23.1767 + 13.3979i −0.798723 + 0.461722i
\(843\) 9.14643 17.1118i 0.315020 0.589361i
\(844\) −40.9548 + 25.5291i −1.40972 + 0.878747i
\(845\) 5.40703 + 54.8985i 0.186008 + 1.88857i
\(846\) 4.43047 + 1.66477i 0.152323 + 0.0572358i
\(847\) 17.5278 42.3158i 0.602261 1.45399i
\(848\) 8.91970 4.06485i 0.306304 0.139587i
\(849\) 9.12581 + 22.0316i 0.313197 + 0.756124i
\(850\) 0.437243 + 13.1382i 0.0149973 + 0.450635i
\(851\) −3.29289 + 4.01239i −0.112879 + 0.137543i
\(852\) −0.0202375 + 0.639434i −0.000693327 + 0.0219067i
\(853\) −3.27809 10.8064i −0.112240 0.370005i 0.882767 0.469811i \(-0.155678\pi\)
−0.995007 + 0.0998059i \(0.968178\pi\)
\(854\) −84.0383 + 11.1103i −2.87573 + 0.380186i
\(855\) −7.54545 + 1.50088i −0.258049 + 0.0513291i
\(856\) −7.34676 + 37.2518i −0.251107 + 1.27324i
\(857\) 0.424810 2.13567i 0.0145112 0.0729530i −0.972851 0.231432i \(-0.925659\pi\)
0.987362 + 0.158479i \(0.0506590\pi\)
\(858\) 28.9532 + 32.9786i 0.988445 + 1.12587i
\(859\) −34.2001 41.6730i −1.16689 1.42186i −0.886962 0.461843i \(-0.847189\pi\)
−0.279931 0.960020i \(-0.590311\pi\)
\(860\) 6.72807 + 0.878332i 0.229425 + 0.0299509i
\(861\) 10.4233 5.57137i 0.355225 0.189872i
\(862\) −9.59841 + 2.24353i −0.326923 + 0.0764151i
\(863\) 18.1218 18.1218i 0.616874 0.616874i −0.327855 0.944728i \(-0.606326\pi\)
0.944728 + 0.327855i \(0.106326\pi\)
\(864\) 0.723133 5.61044i 0.0246015 0.190871i
\(865\) −1.64226 1.64226i −0.0558385 0.0558385i
\(866\) 42.5457 + 26.4246i 1.44576 + 0.897944i
\(867\) 0.615506 + 1.15153i 0.0209037 + 0.0391081i
\(868\) 12.3083 21.3722i 0.417771 0.725419i
\(869\) −4.39003 + 3.60281i −0.148922 + 0.122217i
\(870\) 4.15918 + 0.270338i 0.141009 + 0.00916533i
\(871\) 56.7047 + 11.2793i 1.92136 + 0.382183i
\(872\) −3.33355 + 1.38717i −0.112888 + 0.0469755i
\(873\) 2.31351 + 11.6308i 0.0783005 + 0.393643i
\(874\) −32.0224 24.5440i −1.08317 0.830214i
\(875\) 54.9375 16.6651i 1.85723 0.563384i
\(876\) −2.03876 5.39905i −0.0688832 0.182417i
\(877\) −0.471450 0.386909i −0.0159197 0.0130650i 0.626400 0.779502i \(-0.284528\pi\)
−0.642320 + 0.766437i \(0.722028\pi\)
\(878\) −6.31246 5.90583i −0.213035 0.199312i
\(879\) 25.4242 10.5310i 0.857536 0.355203i
\(880\) −27.9487 + 9.55506i −0.942149 + 0.322101i
\(881\) 14.5507 + 6.02708i 0.490224 + 0.203058i 0.614082 0.789242i \(-0.289527\pi\)
−0.123857 + 0.992300i \(0.539527\pi\)
\(882\) 9.35751 + 20.6227i 0.315084 + 0.694401i
\(883\) −18.8726 + 1.85879i −0.635115 + 0.0625534i −0.410451 0.911883i \(-0.634629\pi\)
−0.224664 + 0.974436i \(0.572129\pi\)
\(884\) −53.5058 + 8.89356i −1.79959 + 0.299123i
\(885\) 10.8464 + 5.79750i 0.364596 + 0.194881i
\(886\) 14.2336 53.2360i 0.478186 1.78850i
\(887\) −32.9859 22.0404i −1.10756 0.740046i −0.139362 0.990242i \(-0.544505\pi\)
−0.968195 + 0.250196i \(0.919505\pi\)
\(888\) −0.234269 + 2.41898i −0.00786156 + 0.0811756i
\(889\) 48.9301 + 73.2291i 1.64106 + 2.45603i
\(890\) 15.2316 30.9290i 0.510564 1.03674i
\(891\) −0.444307 + 4.51112i −0.0148848 + 0.151128i
\(892\) 47.2600 23.3699i 1.58238 0.782482i
\(893\) 4.58803 15.1247i 0.153533 0.506129i
\(894\) −12.4607 2.05032i −0.416749 0.0685731i
\(895\) −6.78480 −0.226791
\(896\) −46.1986 28.4851i −1.54339 0.951621i
\(897\) −41.3544 −1.38078
\(898\) −10.7487 1.76862i −0.358688 0.0590195i
\(899\) −1.35000 + 4.45036i −0.0450251 + 0.148428i
\(900\) 2.08008 + 4.20646i 0.0693360 + 0.140215i
\(901\) 0.951565 9.66141i 0.0317012 0.321868i
\(902\) 6.97764 14.1687i 0.232330 0.471765i
\(903\) −5.55054 8.30698i −0.184711 0.276439i
\(904\) 25.7729 21.2217i 0.857195 0.705823i
\(905\) −2.05675 1.37427i −0.0683685 0.0456824i
\(906\) 1.96039 7.33222i 0.0651297 0.243597i
\(907\) 3.28667 + 1.75676i 0.109132 + 0.0583323i 0.525060 0.851065i \(-0.324043\pi\)
−0.415928 + 0.909398i \(0.636543\pi\)
\(908\) −3.91090 23.5289i −0.129788 0.780835i
\(909\) −14.9296 + 1.47044i −0.495183 + 0.0487713i
\(910\) 31.2614 + 68.8959i 1.03631 + 2.28388i
\(911\) −33.5877 13.9125i −1.11281 0.460942i −0.250906 0.968011i \(-0.580729\pi\)
−0.861905 + 0.507070i \(0.830729\pi\)
\(912\) −18.8529 1.19455i −0.624281 0.0395555i
\(913\) −1.24032 + 0.513756i −0.0410485 + 0.0170029i
\(914\) −13.0806 12.2380i −0.432668 0.404797i
\(915\) −15.7341 12.9127i −0.520155 0.426880i
\(916\) −38.8545 + 14.6720i −1.28379 + 0.484777i
\(917\) −10.0730 + 3.05562i −0.332641 + 0.100905i
\(918\) −4.44665 3.40820i −0.146761 0.112487i
\(919\) 3.51773 + 17.6848i 0.116039 + 0.583368i 0.994428 + 0.105421i \(0.0336189\pi\)
−0.878389 + 0.477947i \(0.841381\pi\)
\(920\) 10.6096 25.7324i 0.349788 0.848372i
\(921\) −17.3336 3.44787i −0.571161 0.113611i
\(922\) 42.4884 + 2.76166i 1.39928 + 0.0909504i
\(923\) 1.69273 1.38918i 0.0557168 0.0457256i
\(924\) 37.6881 + 21.7047i 1.23985 + 0.714031i
\(925\) −0.950364 1.77801i −0.0312478 0.0584605i
\(926\) −7.13060 4.42872i −0.234326 0.145537i
\(927\) −9.00796 9.00796i −0.295860 0.295860i
\(928\) 9.70011 + 3.26339i 0.318422 + 0.107126i
\(929\) −24.5278 + 24.5278i −0.804732 + 0.804732i −0.983831 0.179099i \(-0.942682\pi\)
0.179099 + 0.983831i \(0.442682\pi\)
\(930\) 5.76651 1.34786i 0.189091 0.0441982i
\(931\) 66.6961 35.6498i 2.18588 1.16838i
\(932\) 1.18136 9.04927i 0.0386967 0.296419i
\(933\) −18.2420 22.2280i −0.597217 0.727711i
\(934\) 27.0015 + 30.7556i 0.883516 + 1.00635i
\(935\) −5.70704 + 28.6912i −0.186640 + 0.938304i
\(936\) −16.0818 + 10.7835i −0.525651 + 0.352469i
\(937\) −34.3780 + 6.83821i −1.12308 + 0.223395i −0.721490 0.692425i \(-0.756543\pi\)
−0.401591 + 0.915819i \(0.631543\pi\)
\(938\) 56.8028 7.50962i 1.85468 0.245198i
\(939\) −3.20269 10.5579i −0.104516 0.344543i
\(940\) 10.8981 + 0.344915i 0.355457 + 0.0112499i
\(941\) 20.3049 24.7416i 0.661922 0.806554i −0.328518 0.944498i \(-0.606549\pi\)
0.990440 + 0.137943i \(0.0440492\pi\)
\(942\) 0.374461 + 11.2517i 0.0122006 + 0.366600i
\(943\) 5.69546 + 13.7501i 0.185470 + 0.447764i
\(944\) 22.0859 + 20.5958i 0.718834 + 0.670335i
\(945\) −2.99057 + 7.21987i −0.0972831 + 0.234862i
\(946\) −12.4975 4.69598i −0.406329 0.152679i
\(947\) 2.75180 + 27.9395i 0.0894214 + 0.907911i 0.930327 + 0.366730i \(0.119523\pi\)
−0.840906 + 0.541181i \(0.817977\pi\)
\(948\) −1.32550 2.12642i −0.0430502 0.0690629i
\(949\) −9.31187 + 17.4213i −0.302276 + 0.565519i
\(950\) 13.5671 7.84278i 0.440174 0.254453i
\(951\) 15.2337 22.7989i 0.493987 0.739303i
\(952\) −47.3649 + 25.4164i −1.53511 + 0.823750i
\(953\) −11.5976 + 7.74924i −0.375682 + 0.251023i −0.729048 0.684463i \(-0.760037\pi\)
0.353366 + 0.935485i \(0.385037\pi\)
\(954\) −1.11577 3.28109i −0.0361244 0.106229i
\(955\) −24.8045 2.44303i −0.802654 0.0790546i
\(956\) −27.9837 + 1.86468i −0.905058 + 0.0603081i
\(957\) −7.84785 2.38062i −0.253685 0.0769545i
\(958\) −25.6620 35.7702i −0.829101 1.15568i
\(959\) 55.2204i 1.78316i
\(960\) −2.58407 12.7733i −0.0834006 0.412257i
\(961\) 24.3923i 0.786848i
\(962\) 6.75907 4.84904i 0.217921 0.156339i
\(963\) 12.8461 + 3.89684i 0.413961 + 0.125574i
\(964\) 21.4231 + 18.7464i 0.689993 + 0.603782i
\(965\) 11.0608 + 1.08939i 0.356060 + 0.0350688i
\(966\) −38.8013 + 13.1948i −1.24841 + 0.424535i
\(967\) −10.3529 + 6.91758i −0.332927 + 0.222454i −0.710786 0.703409i \(-0.751660\pi\)
0.377859 + 0.925863i \(0.376660\pi\)
\(968\) 26.8705 2.69073i 0.863649 0.0864832i
\(969\) −10.3944 + 15.5563i −0.333915 + 0.499739i
\(970\) 13.6727 + 23.6521i 0.439003 + 0.759422i
\(971\) −15.7591 + 29.4832i −0.505734 + 0.946162i 0.491431 + 0.870916i \(0.336474\pi\)
−0.997165 + 0.0752452i \(0.976026\pi\)
\(972\) −1.94825 0.452036i −0.0624900 0.0144991i
\(973\) −4.43841 45.0640i −0.142289 1.44468i
\(974\) −1.80377 + 4.80040i −0.0577964 + 0.153815i
\(975\) 6.14676 14.8396i 0.196854 0.475248i
\(976\) −29.2003 40.5626i −0.934679 1.29838i
\(977\) 15.6133 + 37.6939i 0.499514 + 1.20593i 0.949746 + 0.313022i \(0.101341\pi\)
−0.450232 + 0.892912i \(0.648659\pi\)
\(978\) −0.693154 + 0.0230684i −0.0221646 + 0.000737647i
\(979\) −43.0348 + 52.4380i −1.37540 + 1.67593i
\(980\) 35.7057 + 38.0396i 1.14058 + 1.21513i
\(981\) 0.370565 + 1.22159i 0.0118312 + 0.0390023i
\(982\) 1.22849 + 9.29228i 0.0392026 + 0.296529i
\(983\) −27.9150 + 5.55265i −0.890351 + 0.177102i −0.619012 0.785382i \(-0.712467\pi\)
−0.271340 + 0.962484i \(0.587467\pi\)
\(984\) 5.80028 + 3.86197i 0.184906 + 0.123115i
\(985\) 5.04598 25.3678i 0.160778 0.808286i
\(986\) 7.61709 6.68733i 0.242578 0.212968i
\(987\) −10.1851 12.4105i −0.324194 0.395031i
\(988\) 39.4182 + 51.2554i 1.25406 + 1.63065i
\(989\) 11.0953 5.93057i 0.352811 0.188581i
\(990\) 2.37685 + 10.1688i 0.0755413 + 0.323185i
\(991\) −17.6381 + 17.6381i −0.560293 + 0.560293i −0.929391 0.369098i \(-0.879667\pi\)
0.369098 + 0.929391i \(0.379667\pi\)
\(992\) 14.5347 + 0.436303i 0.461476 + 0.0138526i
\(993\) 9.95910 + 9.95910i 0.316043 + 0.316043i
\(994\) 1.14498 1.84351i 0.0363166 0.0584727i
\(995\) −10.6928 20.0048i −0.338985 0.634196i
\(996\) −0.153929 0.571983i −0.00487742 0.0181240i
\(997\) 43.2092 35.4609i 1.36845 1.12306i 0.389029 0.921225i \(-0.372810\pi\)
0.979420 0.201832i \(-0.0646895\pi\)
\(998\) −0.964614 + 14.8407i −0.0305343 + 0.469773i
\(999\) 0.842730 + 0.167629i 0.0266628 + 0.00530356i
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 384.2.v.a.325.15 yes 512
128.13 even 32 inner 384.2.v.a.13.15 512
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
384.2.v.a.13.15 512 128.13 even 32 inner
384.2.v.a.325.15 yes 512 1.1 even 1 trivial