Properties

Label 276.2.m.a.7.14
Level $276$
Weight $2$
Character 276.7
Analytic conductor $2.204$
Analytic rank $0$
Dimension $240$
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] = [276,2,Mod(7,276)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(276, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 0, 19]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("276.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 276.m (of order \(22\), degree \(10\), 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: \(2.20387109579\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 7.14
Character \(\chi\) \(=\) 276.7
Dual form 276.2.m.a.79.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.190297 - 1.40135i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-1.92757 - 0.533346i) q^{4} +(-0.953526 + 0.435461i) q^{5} +(-1.28177 + 0.597540i) q^{6} +(-1.56668 + 0.460018i) q^{7} +(-1.11422 + 2.59972i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(0.190297 - 1.40135i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-1.92757 - 0.533346i) q^{4} +(-0.953526 + 0.435461i) q^{5} +(-1.28177 + 0.597540i) q^{6} +(-1.56668 + 0.460018i) q^{7} +(-1.11422 + 2.59972i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(0.428780 + 1.41909i) q^{10} +(-2.54797 - 2.94051i) q^{11} +(0.593446 + 1.90993i) q^{12} +(-5.84020 - 1.71484i) q^{13} +(0.346513 + 2.28301i) q^{14} +(0.881848 + 0.566729i) q^{15} +(3.43108 + 2.05613i) q^{16} +(2.19877 + 0.316136i) q^{17} +(1.19566 + 0.755243i) q^{18} +(0.729960 + 5.07698i) q^{19} +(2.07024 - 0.330823i) q^{20} +(1.23400 + 1.06927i) q^{21} +(-4.60556 + 3.01103i) q^{22} +(1.97171 - 4.37177i) q^{23} +(2.78941 - 0.468172i) q^{24} +(-2.55472 + 2.94830i) q^{25} +(-3.51446 + 7.85785i) q^{26} +(0.989821 - 0.142315i) q^{27} +(3.26524 - 0.0511369i) q^{28} +(0.861053 - 5.98876i) q^{29} +(0.962000 - 1.12793i) q^{30} +(4.03915 - 6.28504i) q^{31} +(3.53429 - 4.41688i) q^{32} +(-1.09618 + 3.73325i) q^{33} +(0.861437 - 3.02109i) q^{34} +(1.29355 - 1.12087i) q^{35} +(1.28589 - 1.53182i) q^{36} +(-8.62713 - 3.93988i) q^{37} +(7.25355 - 0.0567955i) q^{38} +(1.71484 + 5.84020i) q^{39} +(-0.0696382 - 2.96409i) q^{40} +(-2.05875 - 4.50804i) q^{41} +(1.73325 - 1.52579i) q^{42} +(-5.88440 + 3.78167i) q^{43} +(3.34309 + 7.02701i) q^{44} -1.04825i q^{45} +(-5.75118 - 3.59499i) q^{46} -4.82846i q^{47} +(-0.125257 - 3.99804i) q^{48} +(-3.64591 + 2.34309i) q^{49} +(3.64545 + 4.14111i) q^{50} +(-0.922796 - 2.02064i) q^{51} +(10.3428 + 6.42033i) q^{52} +(1.71862 + 5.85308i) q^{53} +(-0.0110730 - 1.41417i) q^{54} +(3.71003 + 1.69431i) q^{55} +(0.549704 - 4.58548i) q^{56} +(3.87638 - 3.35890i) q^{57} +(-8.22850 - 2.34628i) q^{58} +(0.221400 - 0.754020i) q^{59} +(-1.39756 - 1.56274i) q^{60} +(5.97909 - 9.30364i) q^{61} +(-8.03891 - 6.85629i) q^{62} +(0.232374 - 1.61620i) q^{63} +(-5.51704 - 5.79330i) q^{64} +(6.31552 - 0.908035i) q^{65} +(5.02300 + 2.24656i) q^{66} +(-0.210130 + 0.242503i) q^{67} +(-4.06969 - 1.78208i) q^{68} +(-4.74375 + 0.704851i) q^{69} +(-1.32457 - 2.02601i) q^{70} +(1.24126 + 1.07555i) q^{71} +(-1.90192 - 2.09349i) q^{72} +(0.749719 + 5.21441i) q^{73} +(-7.16287 + 11.3399i) q^{74} +(3.86145 + 0.555193i) q^{75} +(1.30074 - 10.1756i) q^{76} +(5.34453 + 3.43472i) q^{77} +(8.51050 - 1.29172i) q^{78} +(-6.00279 - 1.76258i) q^{79} +(-4.16699 - 0.466471i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-6.70913 + 2.02717i) q^{82} +(1.34758 - 2.95079i) q^{83} +(-1.80834 - 2.71924i) q^{84} +(-2.23425 + 0.656035i) q^{85} +(4.17967 + 8.96576i) q^{86} +(-5.50358 + 2.51340i) q^{87} +(10.4835 - 3.34762i) q^{88} +(1.59946 + 2.48880i) q^{89} +(-1.46897 - 0.199480i) q^{90} +9.93857 q^{91} +(-6.13228 + 7.37531i) q^{92} -7.47104 q^{93} +(-6.76638 - 0.918843i) q^{94} +(-2.90686 - 4.52316i) q^{95} +(-5.62649 - 0.585285i) q^{96} +(4.73178 - 2.16093i) q^{97} +(2.58968 + 5.55509i) q^{98} +(3.73325 - 1.09618i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(139\) \(185\)
\(\chi(n)\) \(e\left(\frac{19}{22}\right)\) \(-1\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.190297 1.40135i 0.134560 0.990905i
\(3\) −0.540641 0.841254i −0.312139 0.485698i
\(4\) −1.92757 0.533346i −0.963787 0.266673i
\(5\) −0.953526 + 0.435461i −0.426430 + 0.194744i −0.617057 0.786919i \(-0.711675\pi\)
0.190627 + 0.981663i \(0.438948\pi\)
\(6\) −1.28177 + 0.597540i −0.523282 + 0.243945i
\(7\) −1.56668 + 0.460018i −0.592148 + 0.173870i −0.564058 0.825735i \(-0.690761\pi\)
−0.0280901 + 0.999605i \(0.508943\pi\)
\(8\) −1.11422 + 2.59972i −0.393935 + 0.919138i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) 0.428780 + 1.41909i 0.135592 + 0.448756i
\(11\) −2.54797 2.94051i −0.768242 0.886598i 0.227960 0.973670i \(-0.426794\pi\)
−0.996202 + 0.0870723i \(0.972249\pi\)
\(12\) 0.593446 + 1.90993i 0.171313 + 0.551349i
\(13\) −5.84020 1.71484i −1.61978 0.475610i −0.658821 0.752300i \(-0.728944\pi\)
−0.960959 + 0.276690i \(0.910763\pi\)
\(14\) 0.346513 + 2.28301i 0.0926095 + 0.610159i
\(15\) 0.881848 + 0.566729i 0.227692 + 0.146329i
\(16\) 3.43108 + 2.05613i 0.857771 + 0.514032i
\(17\) 2.19877 + 0.316136i 0.533281 + 0.0766742i 0.403694 0.914894i \(-0.367726\pi\)
0.129586 + 0.991568i \(0.458635\pi\)
\(18\) 1.19566 + 0.755243i 0.281820 + 0.178012i
\(19\) 0.729960 + 5.07698i 0.167464 + 1.16474i 0.884102 + 0.467294i \(0.154771\pi\)
−0.716638 + 0.697446i \(0.754320\pi\)
\(20\) 2.07024 0.330823i 0.462920 0.0739743i
\(21\) 1.23400 + 1.06927i 0.269281 + 0.233334i
\(22\) −4.60556 + 3.01103i −0.981910 + 0.641954i
\(23\) 1.97171 4.37177i 0.411129 0.911577i
\(24\) 2.78941 0.468172i 0.569386 0.0955653i
\(25\) −2.55472 + 2.94830i −0.510944 + 0.589660i
\(26\) −3.51446 + 7.85785i −0.689243 + 1.54105i
\(27\) 0.989821 0.142315i 0.190491 0.0273885i
\(28\) 3.26524 0.0511369i 0.617072 0.00966397i
\(29\) 0.861053 5.98876i 0.159894 1.11208i −0.738933 0.673779i \(-0.764670\pi\)
0.898826 0.438305i \(-0.144421\pi\)
\(30\) 0.962000 1.12793i 0.175636 0.205931i
\(31\) 4.03915 6.28504i 0.725453 1.12883i −0.261089 0.965315i \(-0.584082\pi\)
0.986541 0.163512i \(-0.0522821\pi\)
\(32\) 3.53429 4.41688i 0.624779 0.780801i
\(33\) −1.09618 + 3.73325i −0.190821 + 0.649875i
\(34\) 0.861437 3.02109i 0.147735 0.518113i
\(35\) 1.29355 1.12087i 0.218649 0.189461i
\(36\) 1.28589 1.53182i 0.214315 0.255304i
\(37\) −8.62713 3.93988i −1.41829 0.647712i −0.448978 0.893543i \(-0.648212\pi\)
−0.969313 + 0.245831i \(0.920939\pi\)
\(38\) 7.25355 0.0567955i 1.17668 0.00921344i
\(39\) 1.71484 + 5.84020i 0.274594 + 0.935181i
\(40\) −0.0696382 2.96409i −0.0110108 0.468664i
\(41\) −2.05875 4.50804i −0.321523 0.704038i 0.677995 0.735066i \(-0.262849\pi\)
−0.999518 + 0.0310285i \(0.990122\pi\)
\(42\) 1.73325 1.52579i 0.267446 0.235435i
\(43\) −5.88440 + 3.78167i −0.897363 + 0.576700i −0.906007 0.423263i \(-0.860885\pi\)
0.00864441 + 0.999963i \(0.497248\pi\)
\(44\) 3.34309 + 7.02701i 0.503989 + 1.05936i
\(45\) 1.04825i 0.156265i
\(46\) −5.75118 3.59499i −0.847965 0.530053i
\(47\) 4.82846i 0.704304i −0.935943 0.352152i \(-0.885450\pi\)
0.935943 0.352152i \(-0.114550\pi\)
\(48\) −0.125257 3.99804i −0.0180794 0.577067i
\(49\) −3.64591 + 2.34309i −0.520845 + 0.334727i
\(50\) 3.64545 + 4.14111i 0.515545 + 0.585642i
\(51\) −0.922796 2.02064i −0.129217 0.282946i
\(52\) 10.3428 + 6.42033i 1.43429 + 0.890339i
\(53\) 1.71862 + 5.85308i 0.236071 + 0.803983i 0.989258 + 0.146177i \(0.0466970\pi\)
−0.753188 + 0.657806i \(0.771485\pi\)
\(54\) −0.0110730 1.41417i −0.00150684 0.192444i
\(55\) 3.71003 + 1.69431i 0.500260 + 0.228461i
\(56\) 0.549704 4.58548i 0.0734573 0.612760i
\(57\) 3.87638 3.35890i 0.513439 0.444898i
\(58\) −8.22850 2.34628i −1.08046 0.308082i
\(59\) 0.221400 0.754020i 0.0288239 0.0981651i −0.943825 0.330446i \(-0.892801\pi\)
0.972649 + 0.232281i \(0.0746189\pi\)
\(60\) −1.39756 1.56274i −0.180425 0.201749i
\(61\) 5.97909 9.30364i 0.765543 1.19121i −0.211335 0.977414i \(-0.567781\pi\)
0.976879 0.213795i \(-0.0685825\pi\)
\(62\) −8.03891 6.85629i −1.02094 0.870750i
\(63\) 0.232374 1.61620i 0.0292764 0.203622i
\(64\) −5.51704 5.79330i −0.689630 0.724162i
\(65\) 6.31552 0.908035i 0.783344 0.112628i
\(66\) 5.02300 + 2.24656i 0.618288 + 0.276533i
\(67\) −0.210130 + 0.242503i −0.0256715 + 0.0296265i −0.768440 0.639922i \(-0.778967\pi\)
0.742769 + 0.669548i \(0.233512\pi\)
\(68\) −4.06969 1.78208i −0.493522 0.216109i
\(69\) −4.74375 + 0.704851i −0.571081 + 0.0848541i
\(70\) −1.32457 2.02601i −0.158316 0.242155i
\(71\) 1.24126 + 1.07555i 0.147310 + 0.127645i 0.725398 0.688329i \(-0.241656\pi\)
−0.578088 + 0.815974i \(0.696201\pi\)
\(72\) −1.90192 2.09349i −0.224144 0.246720i
\(73\) 0.749719 + 5.21441i 0.0877479 + 0.610300i 0.985484 + 0.169767i \(0.0543015\pi\)
−0.897736 + 0.440533i \(0.854789\pi\)
\(74\) −7.16287 + 11.3399i −0.832667 + 1.31824i
\(75\) 3.86145 + 0.555193i 0.445882 + 0.0641082i
\(76\) 1.30074 10.1756i 0.149205 1.16722i
\(77\) 5.34453 + 3.43472i 0.609066 + 0.391423i
\(78\) 8.51050 1.29172i 0.963625 0.146258i
\(79\) −6.00279 1.76258i −0.675366 0.198305i −0.0739749 0.997260i \(-0.523568\pi\)
−0.601391 + 0.798955i \(0.705387\pi\)
\(80\) −4.16699 0.466471i −0.465883 0.0521530i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) −6.70913 + 2.02717i −0.740899 + 0.223864i
\(83\) 1.34758 2.95079i 0.147916 0.323891i −0.821142 0.570724i \(-0.806663\pi\)
0.969058 + 0.246833i \(0.0793900\pi\)
\(84\) −1.80834 2.71924i −0.197306 0.296694i
\(85\) −2.23425 + 0.656035i −0.242338 + 0.0711570i
\(86\) 4.17967 + 8.96576i 0.450706 + 0.966802i
\(87\) −5.50358 + 2.51340i −0.590046 + 0.269465i
\(88\) 10.4835 3.34762i 1.11754 0.356858i
\(89\) 1.59946 + 2.48880i 0.169542 + 0.263812i 0.915619 0.402047i \(-0.131701\pi\)
−0.746077 + 0.665860i \(0.768065\pi\)
\(90\) −1.46897 0.199480i −0.154843 0.0210270i
\(91\) 9.93857 1.04184
\(92\) −6.13228 + 7.37531i −0.639334 + 0.768929i
\(93\) −7.47104 −0.774711
\(94\) −6.76638 0.918843i −0.697899 0.0947714i
\(95\) −2.90686 4.52316i −0.298238 0.464067i
\(96\) −5.62649 0.585285i −0.574252 0.0597354i
\(97\) 4.73178 2.16093i 0.480439 0.219409i −0.160448 0.987044i \(-0.551294\pi\)
0.640887 + 0.767635i \(0.278567\pi\)
\(98\) 2.58968 + 5.55509i 0.261597 + 0.561149i
\(99\) 3.73325 1.09618i 0.375206 0.110170i
\(100\) 6.49688 4.32052i 0.649688 0.432052i
\(101\) −2.39242 + 5.23867i −0.238055 + 0.521267i −0.990521 0.137364i \(-0.956137\pi\)
0.752466 + 0.658631i \(0.228864\pi\)
\(102\) −3.00723 + 0.908639i −0.297761 + 0.0899687i
\(103\) 6.40762 + 7.39479i 0.631361 + 0.728630i 0.977823 0.209434i \(-0.0671622\pi\)
−0.346461 + 0.938064i \(0.612617\pi\)
\(104\) 10.9653 13.2722i 1.07524 1.30144i
\(105\) −1.64228 0.482216i −0.160270 0.0470594i
\(106\) 8.52928 1.29457i 0.828437 0.125739i
\(107\) −11.8949 7.64438i −1.14992 0.739010i −0.180299 0.983612i \(-0.557706\pi\)
−0.969624 + 0.244602i \(0.921343\pi\)
\(108\) −1.98386 0.253595i −0.190897 0.0244022i
\(109\) 17.9303 + 2.57798i 1.71741 + 0.246926i 0.929488 0.368853i \(-0.120249\pi\)
0.787919 + 0.615779i \(0.211158\pi\)
\(110\) 3.08034 4.87664i 0.293699 0.464969i
\(111\) 1.34974 + 9.38766i 0.128112 + 0.891037i
\(112\) −6.32126 1.64293i −0.597303 0.155242i
\(113\) 11.3040 + 9.79501i 1.06339 + 0.921437i 0.997080 0.0763622i \(-0.0243305\pi\)
0.0663144 + 0.997799i \(0.478876\pi\)
\(114\) −3.96934 6.07137i −0.371763 0.568636i
\(115\) 0.0236595 + 5.02719i 0.00220626 + 0.468788i
\(116\) −4.85383 + 11.0845i −0.450667 + 1.02917i
\(117\) 3.98598 4.60006i 0.368504 0.425276i
\(118\) −1.01452 0.453748i −0.0933938 0.0417709i
\(119\) −3.59019 + 0.516192i −0.329113 + 0.0473192i
\(120\) −2.45590 + 1.66109i −0.224192 + 0.151636i
\(121\) −0.589008 + 4.09664i −0.0535461 + 0.372422i
\(122\) −11.8999 10.1493i −1.07736 0.918871i
\(123\) −2.67936 + 4.16916i −0.241590 + 0.375921i
\(124\) −11.1379 + 9.96061i −1.00021 + 0.894489i
\(125\) 2.62876 8.95272i 0.235123 0.800756i
\(126\) −2.22064 0.633196i −0.197831 0.0564096i
\(127\) −6.33911 + 5.49287i −0.562505 + 0.487413i −0.889076 0.457759i \(-0.848652\pi\)
0.326571 + 0.945173i \(0.394107\pi\)
\(128\) −9.16832 + 6.62886i −0.810373 + 0.585914i
\(129\) 6.36269 + 2.90574i 0.560204 + 0.255837i
\(130\) −0.0706509 9.02307i −0.00619649 0.791375i
\(131\) −0.891956 3.03772i −0.0779306 0.265407i 0.911307 0.411729i \(-0.135075\pi\)
−0.989237 + 0.146321i \(0.953257\pi\)
\(132\) 4.10409 6.61147i 0.357215 0.575455i
\(133\) −3.47911 7.61820i −0.301677 0.660582i
\(134\) 0.299845 + 0.340614i 0.0259027 + 0.0294245i
\(135\) −0.881848 + 0.566729i −0.0758974 + 0.0487763i
\(136\) −3.27177 + 5.36394i −0.280552 + 0.459954i
\(137\) 4.50950i 0.385272i 0.981270 + 0.192636i \(0.0617037\pi\)
−0.981270 + 0.192636i \(0.938296\pi\)
\(138\) 0.0850219 + 6.78180i 0.00723755 + 0.577305i
\(139\) 13.5418i 1.14860i 0.818644 + 0.574301i \(0.194726\pi\)
−0.818644 + 0.574301i \(0.805274\pi\)
\(140\) −3.09122 + 1.47064i −0.261256 + 0.124292i
\(141\) −4.06196 + 2.61046i −0.342079 + 0.219841i
\(142\) 1.74344 1.53476i 0.146306 0.128794i
\(143\) 9.83815 + 21.5425i 0.822707 + 1.80148i
\(144\) −3.29564 + 2.26688i −0.274637 + 0.188906i
\(145\) 1.78683 + 6.08539i 0.148388 + 0.505364i
\(146\) 7.44989 0.0583328i 0.616557 0.00482766i
\(147\) 3.94226 + 1.80037i 0.325152 + 0.148492i
\(148\) 14.5281 + 12.1957i 1.19420 + 1.00248i
\(149\) 6.88791 5.96840i 0.564279 0.488951i −0.325375 0.945585i \(-0.605491\pi\)
0.889655 + 0.456634i \(0.150945\pi\)
\(150\) 1.51285 5.30561i 0.123523 0.433201i
\(151\) 2.15258 7.33102i 0.175175 0.596590i −0.824359 0.566067i \(-0.808464\pi\)
0.999534 0.0305232i \(-0.00971735\pi\)
\(152\) −14.0120 3.75918i −1.13653 0.304909i
\(153\) −1.20097 + 1.86875i −0.0970927 + 0.151079i
\(154\) 5.83031 6.83596i 0.469819 0.550857i
\(155\) −1.11455 + 7.75184i −0.0895225 + 0.622642i
\(156\) −0.190626 12.1720i −0.0152623 0.974542i
\(157\) −16.6194 + 2.38951i −1.32637 + 0.190704i −0.768835 0.639447i \(-0.779163\pi\)
−0.557538 + 0.830151i \(0.688254\pi\)
\(158\) −3.61230 + 8.07660i −0.287379 + 0.642540i
\(159\) 3.99477 4.61021i 0.316806 0.365614i
\(160\) −1.44666 + 5.75065i −0.114368 + 0.454629i
\(161\) −1.07794 + 7.75617i −0.0849534 + 0.611272i
\(162\) −1.18369 + 0.773873i −0.0929994 + 0.0608012i
\(163\) −9.67507 8.38349i −0.757810 0.656646i 0.187705 0.982225i \(-0.439895\pi\)
−0.945515 + 0.325580i \(0.894441\pi\)
\(164\) 1.56405 + 9.78761i 0.122132 + 0.764284i
\(165\) −0.580446 4.03709i −0.0451877 0.314287i
\(166\) −3.87865 2.44996i −0.301041 0.190154i
\(167\) −15.8386 2.27725i −1.22563 0.176219i −0.501054 0.865416i \(-0.667054\pi\)
−0.724574 + 0.689197i \(0.757963\pi\)
\(168\) −4.15474 + 2.01665i −0.320545 + 0.155588i
\(169\) 20.2310 + 13.0017i 1.55623 + 1.00013i
\(170\) 0.494164 + 3.25581i 0.0379007 + 0.249709i
\(171\) −4.92142 1.44506i −0.376350 0.110506i
\(172\) 13.3596 4.15103i 1.01866 0.316513i
\(173\) −11.8334 13.6564i −0.899674 1.03828i −0.999065 0.0432306i \(-0.986235\pi\)
0.0993912 0.995048i \(-0.468310\pi\)
\(174\) 2.47485 + 8.19075i 0.187618 + 0.620939i
\(175\) 2.64615 5.79426i 0.200030 0.438005i
\(176\) −2.69622 15.3281i −0.203235 1.15540i
\(177\) −0.754020 + 0.221400i −0.0566757 + 0.0166415i
\(178\) 3.79206 1.76779i 0.284227 0.132501i
\(179\) −13.1974 + 6.02704i −0.986418 + 0.450482i −0.842259 0.539072i \(-0.818775\pi\)
−0.144159 + 0.989555i \(0.546048\pi\)
\(180\) −0.559083 + 2.02059i −0.0416716 + 0.150606i
\(181\) 6.91832 + 10.7651i 0.514235 + 0.800165i 0.997145 0.0755050i \(-0.0240569\pi\)
−0.482911 + 0.875669i \(0.660421\pi\)
\(182\) 1.89128 13.9274i 0.140191 1.03237i
\(183\) −11.0593 −0.817524
\(184\) 9.16844 + 9.99698i 0.675907 + 0.736987i
\(185\) 9.94185 0.730939
\(186\) −1.42172 + 10.4696i −0.104245 + 0.767665i
\(187\) −4.67280 7.27102i −0.341709 0.531710i
\(188\) −2.57524 + 9.30722i −0.187819 + 0.678799i
\(189\) −1.48526 + 0.678297i −0.108037 + 0.0493389i
\(190\) −6.89171 + 3.21279i −0.499977 + 0.233080i
\(191\) 9.63192 2.82819i 0.696941 0.204640i 0.0859754 0.996297i \(-0.472599\pi\)
0.610966 + 0.791657i \(0.290781\pi\)
\(192\) −1.89090 + 7.77332i −0.136464 + 0.560991i
\(193\) 5.54898 12.1506i 0.399425 0.874618i −0.597904 0.801568i \(-0.704000\pi\)
0.997328 0.0730498i \(-0.0232732\pi\)
\(194\) −2.12778 7.04211i −0.152766 0.505594i
\(195\) −4.17832 4.82204i −0.299216 0.345313i
\(196\) 8.27744 2.57194i 0.591246 0.183710i
\(197\) −24.7204 7.25856i −1.76126 0.517151i −0.768771 0.639524i \(-0.779131\pi\)
−0.992484 + 0.122373i \(0.960950\pi\)
\(198\) −0.825709 5.44020i −0.0586806 0.386618i
\(199\) 5.52319 + 3.54954i 0.391528 + 0.251620i 0.721563 0.692349i \(-0.243424\pi\)
−0.330035 + 0.943969i \(0.607060\pi\)
\(200\) −4.81823 9.92659i −0.340701 0.701916i
\(201\) 0.317611 + 0.0456656i 0.0224026 + 0.00322100i
\(202\) 6.88594 + 4.34952i 0.484493 + 0.306031i
\(203\) 1.40594 + 9.77855i 0.0986779 + 0.686320i
\(204\) 0.701055 + 4.38710i 0.0490837 + 0.307159i
\(205\) 3.92615 + 3.40203i 0.274214 + 0.237608i
\(206\) 11.5820 7.57212i 0.806960 0.527575i
\(207\) 3.15762 + 3.60963i 0.219470 + 0.250886i
\(208\) −16.5123 17.8920i −1.14492 1.24058i
\(209\) 13.0690 15.0824i 0.904003 1.04327i
\(210\) −0.988274 + 2.20964i −0.0681974 + 0.152480i
\(211\) −17.8658 + 2.56871i −1.22993 + 0.176837i −0.726480 0.687187i \(-0.758845\pi\)
−0.503449 + 0.864025i \(0.667936\pi\)
\(212\) −0.191047 12.1989i −0.0131211 0.837822i
\(213\) 0.233740 1.62570i 0.0160156 0.111391i
\(214\) −12.9760 + 15.2142i −0.887023 + 1.04002i
\(215\) 3.96416 6.16835i 0.270353 0.420678i
\(216\) −0.732899 + 2.73182i −0.0498674 + 0.185877i
\(217\) −3.43681 + 11.7047i −0.233306 + 0.794568i
\(218\) 7.02473 24.6360i 0.475775 1.66856i
\(219\) 3.98131 3.44983i 0.269032 0.233118i
\(220\) −6.24770 5.24465i −0.421220 0.353594i
\(221\) −12.2991 5.61683i −0.827330 0.377829i
\(222\) 13.4123 0.105018i 0.900172 0.00704837i
\(223\) 0.0738225 + 0.251416i 0.00494352 + 0.0168361i 0.961928 0.273304i \(-0.0881164\pi\)
−0.956984 + 0.290140i \(0.906298\pi\)
\(224\) −3.50524 + 8.54566i −0.234204 + 0.570981i
\(225\) −1.62060 3.54862i −0.108040 0.236575i
\(226\) 15.8774 13.9770i 1.05615 0.929735i
\(227\) 22.2607 14.3061i 1.47749 0.949528i 0.480113 0.877207i \(-0.340596\pi\)
0.997381 0.0723211i \(-0.0230406\pi\)
\(228\) −9.26347 + 4.40708i −0.613489 + 0.291866i
\(229\) 3.62915i 0.239821i −0.992785 0.119910i \(-0.961739\pi\)
0.992785 0.119910i \(-0.0382607\pi\)
\(230\) 7.04937 + 0.923505i 0.464822 + 0.0608941i
\(231\) 6.35306i 0.418001i
\(232\) 14.6097 + 8.91127i 0.959171 + 0.585054i
\(233\) −22.8263 + 14.6696i −1.49540 + 0.961038i −0.499923 + 0.866070i \(0.666638\pi\)
−0.995480 + 0.0949679i \(0.969725\pi\)
\(234\) −5.68779 6.46114i −0.371822 0.422378i
\(235\) 2.10261 + 4.60406i 0.137159 + 0.300336i
\(236\) −0.828920 + 1.33535i −0.0539581 + 0.0869237i
\(237\) 1.76258 + 6.00279i 0.114492 + 0.389923i
\(238\) 0.0401630 + 5.12936i 0.00260338 + 0.332487i
\(239\) 11.7383 + 5.36070i 0.759287 + 0.346755i 0.757148 0.653243i \(-0.226592\pi\)
0.00213847 + 0.999998i \(0.499319\pi\)
\(240\) 1.86042 + 3.75769i 0.120090 + 0.242558i
\(241\) 5.45843 4.72976i 0.351609 0.304671i −0.461092 0.887353i \(-0.652542\pi\)
0.812700 + 0.582682i \(0.197997\pi\)
\(242\) 5.62874 + 1.60499i 0.361829 + 0.103172i
\(243\) −0.281733 + 0.959493i −0.0180732 + 0.0615515i
\(244\) −16.4872 + 14.7445i −1.05548 + 0.943922i
\(245\) 2.45615 3.82184i 0.156918 0.244169i
\(246\) 5.33259 + 4.54811i 0.339994 + 0.289977i
\(247\) 4.44309 30.9024i 0.282707 1.96627i
\(248\) 11.8388 + 17.5035i 0.751766 + 1.11148i
\(249\) −3.21091 + 0.461660i −0.203483 + 0.0292565i
\(250\) −12.0457 5.38749i −0.761835 0.340735i
\(251\) 16.4060 18.9336i 1.03554 1.19508i 0.0550540 0.998483i \(-0.482467\pi\)
0.980485 0.196593i \(-0.0629877\pi\)
\(252\) −1.30991 + 2.99141i −0.0825167 + 0.188441i
\(253\) −17.8791 + 5.34130i −1.12405 + 0.335805i
\(254\) 6.49113 + 9.92859i 0.407289 + 0.622975i
\(255\) 1.75982 + 1.52489i 0.110204 + 0.0954924i
\(256\) 7.54466 + 14.1095i 0.471541 + 0.881844i
\(257\) −3.57892 24.8920i −0.223247 1.55272i −0.725638 0.688077i \(-0.758455\pi\)
0.502391 0.864641i \(-0.332454\pi\)
\(258\) 5.28277 8.36342i 0.328891 0.520684i
\(259\) 15.3283 + 2.20388i 0.952457 + 0.136943i
\(260\) −12.6579 1.61806i −0.785012 0.100348i
\(261\) 5.08987 + 3.27106i 0.315055 + 0.202474i
\(262\) −4.42666 + 0.671874i −0.273480 + 0.0415085i
\(263\) −17.7676 5.21702i −1.09559 0.321695i −0.316494 0.948595i \(-0.602506\pi\)
−0.779100 + 0.626899i \(0.784324\pi\)
\(264\) −8.48400 7.00941i −0.522154 0.431399i
\(265\) −4.18754 4.83267i −0.257238 0.296869i
\(266\) −11.3378 + 3.42574i −0.695168 + 0.210046i
\(267\) 1.22898 2.69110i 0.0752125 0.164692i
\(268\) 0.534379 0.355370i 0.0326424 0.0217077i
\(269\) 3.12283 0.916944i 0.190402 0.0559071i −0.185141 0.982712i \(-0.559274\pi\)
0.375543 + 0.926805i \(0.377456\pi\)
\(270\) 0.626374 + 1.34363i 0.0381199 + 0.0817704i
\(271\) 6.70618 3.06261i 0.407371 0.186040i −0.201181 0.979554i \(-0.564478\pi\)
0.608552 + 0.793514i \(0.291751\pi\)
\(272\) 6.89415 + 5.60565i 0.418019 + 0.339892i
\(273\) −5.37319 8.36085i −0.325201 0.506022i
\(274\) 6.31939 + 0.858144i 0.381768 + 0.0518424i
\(275\) 15.1789 0.915320
\(276\) 9.51986 + 1.17141i 0.573028 + 0.0705106i
\(277\) −6.11285 −0.367285 −0.183643 0.982993i \(-0.558789\pi\)
−0.183643 + 0.982993i \(0.558789\pi\)
\(278\) 18.9769 + 2.57697i 1.13816 + 0.154556i
\(279\) 4.03915 + 6.28504i 0.241818 + 0.376275i
\(280\) 1.47264 + 4.61174i 0.0880069 + 0.275604i
\(281\) −15.2781 + 6.97728i −0.911415 + 0.416229i −0.815232 0.579134i \(-0.803391\pi\)
−0.0961830 + 0.995364i \(0.530663\pi\)
\(282\) 2.88520 + 6.18900i 0.171811 + 0.368550i
\(283\) 17.0900 5.01807i 1.01589 0.298293i 0.268931 0.963159i \(-0.413330\pi\)
0.746963 + 0.664866i \(0.231511\pi\)
\(284\) −1.81897 2.73523i −0.107936 0.162306i
\(285\) −2.23356 + 4.89081i −0.132305 + 0.289707i
\(286\) 32.0608 9.68722i 1.89580 0.572818i
\(287\) 5.29918 + 6.11558i 0.312801 + 0.360991i
\(288\) 2.54954 + 5.04974i 0.150233 + 0.297559i
\(289\) −11.5767 3.39923i −0.680984 0.199955i
\(290\) 8.86780 1.34595i 0.520735 0.0790368i
\(291\) −4.37608 2.81234i −0.256531 0.164862i
\(292\) 1.33595 10.4510i 0.0781804 0.611600i
\(293\) −3.31092 0.476039i −0.193426 0.0278105i 0.0449208 0.998991i \(-0.485696\pi\)
−0.238347 + 0.971180i \(0.576606\pi\)
\(294\) 3.27315 5.18189i 0.190894 0.302214i
\(295\) 0.117235 + 0.815389i 0.00682570 + 0.0474738i
\(296\) 19.8551 18.0382i 1.15405 1.04845i
\(297\) −2.94051 2.54797i −0.170626 0.147848i
\(298\) −7.05309 10.7881i −0.408574 0.624941i
\(299\) −19.0120 + 22.1509i −1.09949 + 1.28102i
\(300\) −7.14713 3.12967i −0.412640 0.180692i
\(301\) 7.47932 8.63159i 0.431101 0.497517i
\(302\) −9.86371 4.41160i −0.567593 0.253859i
\(303\) 5.70049 0.819606i 0.327484 0.0470851i
\(304\) −7.93438 + 18.9204i −0.455068 + 1.08516i
\(305\) −1.64984 + 11.4749i −0.0944698 + 0.657052i
\(306\) 2.39023 + 2.03860i 0.136640 + 0.116539i
\(307\) 16.5192 25.7043i 0.942799 1.46702i 0.0594914 0.998229i \(-0.481052\pi\)
0.883307 0.468795i \(-0.155312\pi\)
\(308\) −8.47009 9.47117i −0.482628 0.539670i
\(309\) 2.75667 9.38836i 0.156821 0.534085i
\(310\) 10.6510 + 3.03702i 0.604934 + 0.172491i
\(311\) −8.62706 + 7.47539i −0.489196 + 0.423890i −0.864212 0.503128i \(-0.832182\pi\)
0.375016 + 0.927018i \(0.377637\pi\)
\(312\) −17.0936 2.04917i −0.967732 0.116011i
\(313\) −0.921233 0.420713i −0.0520712 0.0237801i 0.389209 0.921149i \(-0.372748\pi\)
−0.441280 + 0.897369i \(0.645476\pi\)
\(314\) 0.185919 + 23.7444i 0.0104920 + 1.33997i
\(315\) 0.482216 + 1.64228i 0.0271698 + 0.0925318i
\(316\) 10.6307 + 6.59906i 0.598026 + 0.371226i
\(317\) 5.48169 + 12.0032i 0.307882 + 0.674168i 0.998811 0.0487550i \(-0.0155253\pi\)
−0.690929 + 0.722923i \(0.742798\pi\)
\(318\) −5.70034 6.47539i −0.319659 0.363122i
\(319\) −19.8040 + 12.7272i −1.10881 + 0.712588i
\(320\) 7.78339 + 3.12161i 0.435105 + 0.174503i
\(321\) 14.1395i 0.789189i
\(322\) 10.6640 + 2.98655i 0.594281 + 0.166434i
\(323\) 11.3939i 0.633973i
\(324\) 0.859216 + 1.80603i 0.0477342 + 0.100335i
\(325\) 19.9759 12.8377i 1.10807 0.712110i
\(326\) −13.5894 + 11.9628i −0.752645 + 0.662559i
\(327\) −7.52509 16.4777i −0.416139 0.911216i
\(328\) 14.0135 0.329233i 0.773767 0.0181788i
\(329\) 2.22118 + 7.56465i 0.122458 + 0.417052i
\(330\) −5.76784 + 0.0451624i −0.317509 + 0.00248611i
\(331\) −8.85943 4.04597i −0.486959 0.222387i 0.156778 0.987634i \(-0.449889\pi\)
−0.643736 + 0.765247i \(0.722617\pi\)
\(332\) −4.17135 + 4.96913i −0.228932 + 0.272716i
\(333\) 7.16768 6.21083i 0.392786 0.340351i
\(334\) −6.20526 + 21.7621i −0.339537 + 1.19077i
\(335\) 0.0947639 0.322736i 0.00517750 0.0176330i
\(336\) 2.03541 + 6.20602i 0.111041 + 0.338566i
\(337\) 7.93054 12.3402i 0.432004 0.672212i −0.555192 0.831722i \(-0.687355\pi\)
0.987196 + 0.159511i \(0.0509916\pi\)
\(338\) 22.0698 25.8765i 1.20044 1.40750i
\(339\) 2.12866 14.8051i 0.115613 0.804105i
\(340\) 4.65658 0.0729267i 0.252538 0.00395501i
\(341\) −28.7729 + 4.13691i −1.55814 + 0.224026i
\(342\) −2.96157 + 6.62165i −0.160143 + 0.358058i
\(343\) 12.1190 13.9861i 0.654364 0.755176i
\(344\) −3.27477 19.5114i −0.176564 1.05198i
\(345\) 4.21635 2.73781i 0.227001 0.147399i
\(346\) −21.3893 + 13.9839i −1.14990 + 0.751781i
\(347\) 21.4897 + 18.6209i 1.15363 + 0.999625i 0.999934 + 0.0115062i \(0.00366261\pi\)
0.153694 + 0.988118i \(0.450883\pi\)
\(348\) 11.9491 1.90945i 0.640538 0.102357i
\(349\) −2.57445 17.9057i −0.137807 0.958468i −0.934976 0.354712i \(-0.884579\pi\)
0.797169 0.603756i \(-0.206330\pi\)
\(350\) −7.61624 4.81081i −0.407105 0.257149i
\(351\) −6.02480 0.866236i −0.321580 0.0462362i
\(352\) −21.9931 + 0.861457i −1.17224 + 0.0459158i
\(353\) 24.5367 + 15.7688i 1.30596 + 0.839288i 0.993847 0.110758i \(-0.0353280\pi\)
0.312110 + 0.950046i \(0.398964\pi\)
\(354\) 0.166772 + 1.09878i 0.00886383 + 0.0583995i
\(355\) −1.65193 0.485051i −0.0876754 0.0257438i
\(356\) −1.75568 5.65041i −0.0930506 0.299471i
\(357\) 2.37525 + 2.74119i 0.125712 + 0.145079i
\(358\) 5.93458 + 19.6411i 0.313652 + 1.03806i
\(359\) 0.872343 1.91017i 0.0460405 0.100815i −0.885214 0.465184i \(-0.845988\pi\)
0.931255 + 0.364369i \(0.118715\pi\)
\(360\) 2.72516 + 1.16798i 0.143629 + 0.0615581i
\(361\) −7.01254 + 2.05907i −0.369081 + 0.108372i
\(362\) 16.4022 7.64643i 0.862083 0.401887i
\(363\) 3.76475 1.71930i 0.197598 0.0902401i
\(364\) −19.1573 5.30070i −1.00412 0.277832i
\(365\) −2.98554 4.64560i −0.156271 0.243162i
\(366\) −2.10454 + 15.4979i −0.110006 + 0.810089i
\(367\) −29.4470 −1.53712 −0.768560 0.639778i \(-0.779026\pi\)
−0.768560 + 0.639778i \(0.779026\pi\)
\(368\) 15.7540 10.9458i 0.821235 0.570590i
\(369\) 4.95590 0.257994
\(370\) 1.89190 13.9320i 0.0983554 0.724291i
\(371\) −5.38505 8.37930i −0.279578 0.435031i
\(372\) 14.4010 + 3.98465i 0.746656 + 0.206595i
\(373\) −30.7926 + 14.0625i −1.59438 + 0.728129i −0.997257 0.0740197i \(-0.976417\pi\)
−0.597124 + 0.802149i \(0.703690\pi\)
\(374\) −11.0785 + 5.16459i −0.572855 + 0.267054i
\(375\) −8.95272 + 2.62876i −0.462317 + 0.135748i
\(376\) 12.5526 + 5.37996i 0.647353 + 0.277450i
\(377\) −15.2985 + 33.4990i −0.787911 + 1.72529i
\(378\) 0.667892 + 2.21045i 0.0343526 + 0.113694i
\(379\) 14.7709 + 17.0465i 0.758730 + 0.875621i 0.995384 0.0959727i \(-0.0305962\pi\)
−0.236654 + 0.971594i \(0.576051\pi\)
\(380\) 3.19078 + 10.2691i 0.163683 + 0.526793i
\(381\) 8.04807 + 2.36313i 0.412315 + 0.121067i
\(382\) −2.13036 14.0359i −0.108999 0.718139i
\(383\) −22.1236 14.2180i −1.13047 0.726506i −0.164808 0.986326i \(-0.552701\pi\)
−0.965657 + 0.259820i \(0.916337\pi\)
\(384\) 10.5333 + 4.12905i 0.537526 + 0.210710i
\(385\) −6.59184 0.947763i −0.335951 0.0483025i
\(386\) −15.9713 10.0883i −0.812917 0.513481i
\(387\) −0.995464 6.92360i −0.0506023 0.351947i
\(388\) −10.2734 + 1.64168i −0.521552 + 0.0833435i
\(389\) −0.585508 0.507346i −0.0296865 0.0257235i 0.639891 0.768466i \(-0.278979\pi\)
−0.669578 + 0.742742i \(0.733525\pi\)
\(390\) −7.55249 + 4.93767i −0.382435 + 0.250029i
\(391\) 5.71741 8.98920i 0.289142 0.454603i
\(392\) −2.02901 12.0890i −0.102481 0.610589i
\(393\) −2.07327 + 2.39268i −0.104583 + 0.120695i
\(394\) −14.8760 + 33.2607i −0.749443 + 1.67565i
\(395\) 6.49134 0.933314i 0.326615 0.0469601i
\(396\) −7.78076 + 0.121855i −0.390998 + 0.00612342i
\(397\) 0.575615 4.00349i 0.0288893 0.200930i −0.970265 0.242045i \(-0.922182\pi\)
0.999154 + 0.0411151i \(0.0130910\pi\)
\(398\) 6.02520 7.06446i 0.302016 0.354109i
\(399\) −4.52788 + 7.04553i −0.226678 + 0.352717i
\(400\) −14.8275 + 4.86304i −0.741377 + 0.243152i
\(401\) 4.83180 16.4556i 0.241289 0.821754i −0.746424 0.665471i \(-0.768231\pi\)
0.987712 0.156283i \(-0.0499511\pi\)
\(402\) 0.124434 0.436395i 0.00620621 0.0217654i
\(403\) −34.3673 + 29.7794i −1.71196 + 1.48342i
\(404\) 7.40559 8.82193i 0.368442 0.438907i
\(405\) 0.953526 + 0.435461i 0.0473811 + 0.0216382i
\(406\) 13.9707 0.109391i 0.693356 0.00542900i
\(407\) 10.3964 + 35.4069i 0.515330 + 1.75505i
\(408\) 6.28128 0.147572i 0.310970 0.00730591i
\(409\) −0.148020 0.324118i −0.00731912 0.0160266i 0.905937 0.423412i \(-0.139168\pi\)
−0.913256 + 0.407386i \(0.866441\pi\)
\(410\) 5.51457 4.85452i 0.272345 0.239748i
\(411\) 3.79363 2.43802i 0.187126 0.120259i
\(412\) −8.40718 17.6715i −0.414192 0.870611i
\(413\) 1.28316i 0.0631399i
\(414\) 5.65924 3.73804i 0.278137 0.183715i
\(415\) 3.40047i 0.166922i
\(416\) −28.2152 + 19.7347i −1.38336 + 0.967575i
\(417\) 11.3921 7.32126i 0.557874 0.358524i
\(418\) −18.6488 21.1844i −0.912144 1.03616i
\(419\) −5.38660 11.7950i −0.263153 0.576224i 0.731223 0.682139i \(-0.238950\pi\)
−0.994375 + 0.105915i \(0.966223\pi\)
\(420\) 2.90842 + 1.80541i 0.141916 + 0.0880949i
\(421\) 0.278732 + 0.949273i 0.0135846 + 0.0462648i 0.966006 0.258518i \(-0.0832342\pi\)
−0.952422 + 0.304783i \(0.901416\pi\)
\(422\) 0.199862 + 25.5250i 0.00972912 + 1.24254i
\(423\) 4.39213 + 2.00582i 0.213552 + 0.0975261i
\(424\) −17.1313 2.05369i −0.831968 0.0997358i
\(425\) −6.54931 + 5.67501i −0.317688 + 0.275278i
\(426\) −2.23370 0.636918i −0.108223 0.0308588i
\(427\) −5.08746 + 17.3263i −0.246199 + 0.838478i
\(428\) 18.8512 + 21.0792i 0.911206 + 1.01890i
\(429\) 12.8038 19.9232i 0.618175 0.961899i
\(430\) −7.88966 6.72900i −0.380473 0.324501i
\(431\) −3.73868 + 26.0031i −0.180086 + 1.25252i 0.676470 + 0.736470i \(0.263509\pi\)
−0.856556 + 0.516054i \(0.827400\pi\)
\(432\) 3.68878 + 1.54691i 0.177476 + 0.0744256i
\(433\) 9.45654 1.35965i 0.454452 0.0653404i 0.0887120 0.996057i \(-0.471725\pi\)
0.365740 + 0.930717i \(0.380816\pi\)
\(434\) 15.7484 + 7.04356i 0.755948 + 0.338102i
\(435\) 4.15332 4.79319i 0.199136 0.229816i
\(436\) −33.1869 14.5323i −1.58937 0.695970i
\(437\) 23.6347 + 6.81911i 1.13060 + 0.326202i
\(438\) −4.07679 6.23571i −0.194796 0.297954i
\(439\) −21.3236 18.4770i −1.01772 0.881859i −0.0246866 0.999695i \(-0.507859\pi\)
−0.993033 + 0.117836i \(0.962404\pi\)
\(440\) −8.53852 + 7.75719i −0.407058 + 0.369809i
\(441\) −0.616779 4.28979i −0.0293704 0.204276i
\(442\) −10.2117 + 16.1666i −0.485719 + 0.768965i
\(443\) −25.3597 3.64618i −1.20488 0.173235i −0.489519 0.871993i \(-0.662827\pi\)
−0.715358 + 0.698758i \(0.753737\pi\)
\(444\) 2.40515 18.8153i 0.114143 0.892934i
\(445\) −2.60890 1.67664i −0.123674 0.0794802i
\(446\) 0.366371 0.0556075i 0.0173482 0.00263309i
\(447\) −8.74482 2.56771i −0.413616 0.121449i
\(448\) 11.3084 + 6.53829i 0.534274 + 0.308905i
\(449\) −3.09608 3.57306i −0.146113 0.168623i 0.677975 0.735085i \(-0.262858\pi\)
−0.824088 + 0.566461i \(0.808312\pi\)
\(450\) −5.28127 + 1.59574i −0.248961 + 0.0752239i
\(451\) −8.01031 + 17.5401i −0.377191 + 0.825933i
\(452\) −16.5652 24.9096i −0.779163 1.17165i
\(453\) −7.33102 + 2.15258i −0.344441 + 0.101137i
\(454\) −15.8117 33.9175i −0.742080 1.59183i
\(455\) −9.47668 + 4.32785i −0.444273 + 0.202893i
\(456\) 4.41306 + 13.8200i 0.206661 + 0.647183i
\(457\) −6.69682 10.4205i −0.313264 0.487448i 0.648543 0.761178i \(-0.275379\pi\)
−0.961807 + 0.273730i \(0.911742\pi\)
\(458\) −5.08571 0.690616i −0.237640 0.0322704i
\(459\) 2.22138 0.103685
\(460\) 2.63563 9.70291i 0.122887 0.452400i
\(461\) −11.3488 −0.528565 −0.264282 0.964445i \(-0.585135\pi\)
−0.264282 + 0.964445i \(0.585135\pi\)
\(462\) −8.90287 1.20897i −0.414199 0.0562463i
\(463\) −15.6286 24.3186i −0.726324 1.13018i −0.986363 0.164584i \(-0.947372\pi\)
0.260039 0.965598i \(-0.416264\pi\)
\(464\) 15.2680 18.7775i 0.708799 0.871723i
\(465\) 7.12383 3.25334i 0.330360 0.150870i
\(466\) 16.2135 + 34.7793i 0.751075 + 1.61112i
\(467\) 12.0575 3.54040i 0.557954 0.163830i 0.00941588 0.999956i \(-0.497003\pi\)
0.548538 + 0.836126i \(0.315185\pi\)
\(468\) −10.1367 + 6.74106i −0.468569 + 0.311605i
\(469\) 0.217650 0.476588i 0.0100502 0.0220068i
\(470\) 6.85203 2.07035i 0.316061 0.0954981i
\(471\) 10.9953 + 12.6893i 0.506637 + 0.584691i
\(472\) 1.71355 + 1.41572i 0.0788725 + 0.0651638i
\(473\) 26.1133 + 7.66757i 1.20069 + 0.352555i
\(474\) 8.74743 1.32768i 0.401783 0.0609822i
\(475\) −16.8333 10.8181i −0.772366 0.496369i
\(476\) 7.19567 + 0.919819i 0.329813 + 0.0421598i
\(477\) −6.03809 0.868147i −0.276465 0.0397497i
\(478\) 9.74598 15.4293i 0.445771 0.705722i
\(479\) 3.66857 + 25.5155i 0.167621 + 1.16583i 0.883783 + 0.467898i \(0.154988\pi\)
−0.716161 + 0.697935i \(0.754102\pi\)
\(480\) 5.61987 1.89203i 0.256511 0.0863590i
\(481\) 43.6279 + 37.8038i 1.98926 + 1.72370i
\(482\) −5.58933 8.54925i −0.254587 0.389408i
\(483\) 7.10769 3.28649i 0.323411 0.149540i
\(484\) 3.32028 7.58243i 0.150922 0.344656i
\(485\) −3.57087 + 4.12101i −0.162145 + 0.187125i
\(486\) 1.29097 + 0.577395i 0.0585598 + 0.0261912i
\(487\) 33.8674 4.86939i 1.53468 0.220653i 0.677441 0.735577i \(-0.263089\pi\)
0.857236 + 0.514924i \(0.172180\pi\)
\(488\) 17.5248 + 25.9102i 0.793311 + 1.17290i
\(489\) −1.82191 + 12.6716i −0.0823895 + 0.573032i
\(490\) −4.88835 4.16922i −0.220833 0.188346i
\(491\) 12.5617 19.5464i 0.566902 0.882117i −0.432911 0.901436i \(-0.642514\pi\)
0.999813 + 0.0193198i \(0.00615007\pi\)
\(492\) 7.38827 6.60735i 0.333089 0.297882i
\(493\) 3.78652 12.8957i 0.170536 0.580793i
\(494\) −42.4596 12.1070i −1.91035 0.544718i
\(495\) −3.08241 + 2.67092i −0.138544 + 0.120049i
\(496\) 26.7815 13.2595i 1.20253 0.595368i
\(497\) −2.43942 1.11405i −0.109423 0.0499718i
\(498\) 0.0359200 + 4.58747i 0.00160962 + 0.205570i
\(499\) 7.52989 + 25.6445i 0.337084 + 1.14800i 0.937404 + 0.348243i \(0.113222\pi\)
−0.600320 + 0.799760i \(0.704960\pi\)
\(500\) −9.84203 + 15.8550i −0.440149 + 0.709057i
\(501\) 6.64725 + 14.5555i 0.296977 + 0.650290i
\(502\) −23.4106 26.5936i −1.04486 1.18693i
\(503\) −1.04885 + 0.674054i −0.0467659 + 0.0300546i −0.563815 0.825901i \(-0.690667\pi\)
0.517049 + 0.855956i \(0.327030\pi\)
\(504\) 3.94274 + 2.40490i 0.175624 + 0.107123i
\(505\) 6.03701i 0.268643i
\(506\) 4.08270 + 26.0713i 0.181498 + 1.15901i
\(507\) 24.0486i 1.06804i
\(508\) 15.1487 7.20697i 0.672115 0.319757i
\(509\) 31.2944 20.1117i 1.38710 0.891435i 0.387563 0.921843i \(-0.373317\pi\)
0.999538 + 0.0304079i \(0.00968063\pi\)
\(510\) 2.47180 2.17594i 0.109453 0.0963523i
\(511\) −3.57329 7.82441i −0.158073 0.346132i
\(512\) 21.2081 7.88773i 0.937275 0.348592i
\(513\) 1.44506 + 4.92142i 0.0638009 + 0.217286i
\(514\) −35.5634 + 0.278463i −1.56864 + 0.0122825i
\(515\) −9.32997 4.26085i −0.411127 0.187756i
\(516\) −10.7148 8.99456i −0.471693 0.395963i
\(517\) −14.1982 + 12.3028i −0.624434 + 0.541076i
\(518\) 6.00535 21.0610i 0.263860 0.925367i
\(519\) −5.09092 + 17.3381i −0.223467 + 0.761057i
\(520\) −4.67624 + 17.4303i −0.205067 + 0.764370i
\(521\) 11.4043 17.7454i 0.499631 0.777442i −0.496243 0.868184i \(-0.665288\pi\)
0.995874 + 0.0907420i \(0.0289239\pi\)
\(522\) 5.55250 6.51023i 0.243026 0.284945i
\(523\) −4.82304 + 33.5450i −0.210897 + 1.46682i 0.559275 + 0.828982i \(0.311080\pi\)
−0.770172 + 0.637836i \(0.779830\pi\)
\(524\) 0.0991524 + 6.33116i 0.00433149 + 0.276578i
\(525\) −6.30505 + 0.906530i −0.275175 + 0.0395642i
\(526\) −10.6920 + 23.9058i −0.466193 + 1.04234i
\(527\) 10.8681 12.5424i 0.473422 0.546358i
\(528\) −11.4371 + 10.5552i −0.497737 + 0.459356i
\(529\) −15.2247 17.2397i −0.661945 0.749552i
\(530\) −7.56915 + 4.94857i −0.328783 + 0.214952i
\(531\) 0.593908 + 0.514624i 0.0257734 + 0.0223328i
\(532\) 2.64311 + 16.5402i 0.114593 + 0.717109i
\(533\) 4.29297 + 29.8583i 0.185949 + 1.29331i
\(534\) −3.53730 2.23434i −0.153074 0.0966895i
\(535\) 14.6709 + 2.10936i 0.634279 + 0.0911955i
\(536\) −0.396308 0.816479i −0.0171179 0.0352665i
\(537\) 12.2053 + 7.84388i 0.526698 + 0.338488i
\(538\) −0.690697 4.55067i −0.0297781 0.196193i
\(539\) 16.1795 + 4.75074i 0.696903 + 0.204629i
\(540\) 2.00209 0.622082i 0.0861562 0.0267701i
\(541\) −2.55638 2.95022i −0.109908 0.126840i 0.698130 0.715971i \(-0.254016\pi\)
−0.808038 + 0.589131i \(0.799470\pi\)
\(542\) −3.01563 9.98052i −0.129532 0.428700i
\(543\) 5.31586 11.6401i 0.228126 0.499525i
\(544\) 9.16742 8.59440i 0.393050 0.368482i
\(545\) −18.2196 + 5.34975i −0.780440 + 0.229158i
\(546\) −12.7390 + 5.93869i −0.545179 + 0.254152i
\(547\) −5.00776 + 2.28697i −0.214116 + 0.0977836i −0.519586 0.854418i \(-0.673914\pi\)
0.305470 + 0.952202i \(0.401187\pi\)
\(548\) 2.40512 8.69239i 0.102742 0.371320i
\(549\) 5.97909 + 9.30364i 0.255181 + 0.397070i
\(550\) 2.88849 21.2709i 0.123166 0.906996i
\(551\) 31.0334 1.32207
\(552\) 3.45316 13.1178i 0.146976 0.558329i
\(553\) 10.2152 0.434396
\(554\) −1.16326 + 8.56625i −0.0494221 + 0.363945i
\(555\) −5.37497 8.36361i −0.228155 0.355016i
\(556\) 7.22248 26.1029i 0.306302 1.10701i
\(557\) 40.6719 18.5742i 1.72332 0.787016i 0.728541 0.685002i \(-0.240199\pi\)
0.994783 0.102014i \(-0.0325286\pi\)
\(558\) 9.57619 4.46424i 0.405392 0.188987i
\(559\) 40.8510 11.9949i 1.72781 0.507332i
\(560\) 6.74291 1.18608i 0.284940 0.0501211i
\(561\) −3.59047 + 7.86202i −0.151590 + 0.331935i
\(562\) 6.87024 + 22.7378i 0.289804 + 0.959134i
\(563\) −10.8340 12.5031i −0.456597 0.526941i 0.480038 0.877248i \(-0.340623\pi\)
−0.936635 + 0.350307i \(0.886077\pi\)
\(564\) 9.22202 2.86543i 0.388317 0.120656i
\(565\) −15.0440 4.41733i −0.632907 0.185838i
\(566\) −3.77991 24.9040i −0.158881 1.04679i
\(567\) 1.37361 + 0.882768i 0.0576864 + 0.0370728i
\(568\) −4.17917 + 2.02851i −0.175354 + 0.0851144i
\(569\) 17.3934 + 2.50079i 0.729168 + 0.104838i 0.496893 0.867812i \(-0.334474\pi\)
0.232275 + 0.972650i \(0.425383\pi\)
\(570\) 6.42871 + 4.06071i 0.269269 + 0.170084i
\(571\) 2.14718 + 14.9340i 0.0898567 + 0.624967i 0.984130 + 0.177447i \(0.0567837\pi\)
−0.894274 + 0.447520i \(0.852307\pi\)
\(572\) −7.47412 46.7720i −0.312509 1.95563i
\(573\) −7.58663 6.57385i −0.316936 0.274627i
\(574\) 9.57850 6.26224i 0.399799 0.261381i
\(575\) 7.85214 + 16.9818i 0.327457 + 0.708191i
\(576\) 7.56163 2.61185i 0.315068 0.108827i
\(577\) −19.4917 + 22.4947i −0.811451 + 0.936465i −0.998951 0.0457999i \(-0.985416\pi\)
0.187499 + 0.982265i \(0.439962\pi\)
\(578\) −6.96654 + 15.5762i −0.289770 + 0.647885i
\(579\) −13.2217 + 1.90100i −0.549476 + 0.0790027i
\(580\) −0.198629 12.6830i −0.00824763 0.526634i
\(581\) −0.753806 + 5.24284i −0.0312732 + 0.217510i
\(582\) −4.77383 + 5.59725i −0.197882 + 0.232014i
\(583\) 12.8321 19.9671i 0.531450 0.826953i
\(584\) −14.3913 3.86093i −0.595517 0.159766i
\(585\) −1.79759 + 6.12201i −0.0743210 + 0.253114i
\(586\) −1.29716 + 4.54918i −0.0535850 + 0.187925i
\(587\) 24.6548 21.3635i 1.01761 0.881766i 0.0245900 0.999698i \(-0.492172\pi\)
0.993022 + 0.117932i \(0.0376265\pi\)
\(588\) −6.63878 5.57293i −0.273778 0.229824i
\(589\) 34.8574 + 15.9189i 1.43628 + 0.655925i
\(590\) 1.16496 0.00912164i 0.0479605 0.000375532i
\(591\) 7.25856 + 24.7204i 0.298577 + 1.01686i
\(592\) −21.4995 31.2565i −0.883624 1.28464i
\(593\) −7.29896 15.9825i −0.299732 0.656322i 0.698509 0.715601i \(-0.253847\pi\)
−0.998241 + 0.0592788i \(0.981120\pi\)
\(594\) −4.13017 + 3.63582i −0.169463 + 0.149180i
\(595\) 3.19856 2.05559i 0.131128 0.0842710i
\(596\) −16.4602 + 7.83090i −0.674235 + 0.320766i
\(597\) 6.56542i 0.268705i
\(598\) 27.4232 + 30.8578i 1.12142 + 1.26187i
\(599\) 17.9038i 0.731528i 0.930708 + 0.365764i \(0.119192\pi\)
−0.930708 + 0.365764i \(0.880808\pi\)
\(600\) −5.74585 + 9.42008i −0.234573 + 0.384573i
\(601\) 14.2953 9.18705i 0.583118 0.374747i −0.215573 0.976488i \(-0.569162\pi\)
0.798692 + 0.601740i \(0.205526\pi\)
\(602\) −10.6726 12.1237i −0.434983 0.494126i
\(603\) −0.133297 0.291880i −0.00542829 0.0118863i
\(604\) −8.05923 + 12.9830i −0.327926 + 0.528271i
\(605\) −1.22229 4.16274i −0.0496932 0.169239i
\(606\) −0.0637705 8.14435i −0.00259050 0.330842i
\(607\) 17.4267 + 7.95852i 0.707329 + 0.323026i 0.736396 0.676551i \(-0.236526\pi\)
−0.0290665 + 0.999577i \(0.509253\pi\)
\(608\) 25.0043 + 14.7194i 1.01406 + 0.596949i
\(609\) 7.46613 6.46944i 0.302543 0.262155i
\(610\) 15.7664 + 4.49565i 0.638364 + 0.182024i
\(611\) −8.28003 + 28.1992i −0.334974 + 1.14082i
\(612\) 3.31165 2.96161i 0.133865 0.119716i
\(613\) −12.4151 + 19.3182i −0.501440 + 0.780256i −0.996044 0.0888627i \(-0.971677\pi\)
0.494604 + 0.869119i \(0.335313\pi\)
\(614\) −32.8773 28.0406i −1.32682 1.13163i
\(615\) 0.739331 5.14216i 0.0298127 0.207352i
\(616\) −14.8843 + 10.0672i −0.599705 + 0.405621i
\(617\) −45.4087 + 6.52878i −1.82808 + 0.262839i −0.968654 0.248413i \(-0.920091\pi\)
−0.859431 + 0.511252i \(0.829182\pi\)
\(618\) −12.6318 5.64964i −0.508126 0.227262i
\(619\) −18.8680 + 21.7748i −0.758369 + 0.875204i −0.995351 0.0963096i \(-0.969296\pi\)
0.236983 + 0.971514i \(0.423842\pi\)
\(620\) 6.28278 14.3478i 0.252323 0.576221i
\(621\) 1.32947 4.60787i 0.0533498 0.184908i
\(622\) 8.83394 + 13.5121i 0.354209 + 0.541785i
\(623\) −3.65073 3.16337i −0.146263 0.126738i
\(624\) −6.12446 + 23.5641i −0.245175 + 0.943321i
\(625\) −1.38400 9.62590i −0.0553598 0.385036i
\(626\) −0.764875 + 1.21091i −0.0305706 + 0.0483978i
\(627\) −19.7538 2.84017i −0.788891 0.113425i
\(628\) 33.3096 + 4.25794i 1.32920 + 0.169911i
\(629\) −17.7235 11.3902i −0.706684 0.454158i
\(630\) 2.39317 0.363234i 0.0953462 0.0144716i
\(631\) −24.7285 7.26095i −0.984427 0.289054i −0.250376 0.968149i \(-0.580554\pi\)
−0.734051 + 0.679095i \(0.762373\pi\)
\(632\) 11.2706 13.6416i 0.448321 0.542635i
\(633\) 11.8199 + 13.6409i 0.469799 + 0.542176i
\(634\) 17.8639 5.39759i 0.709466 0.214366i
\(635\) 3.65257 7.99802i 0.144948 0.317392i
\(636\) −10.1591 + 6.75593i −0.402833 + 0.267890i
\(637\) 25.3109 7.43194i 1.00285 0.294464i
\(638\) 14.0667 + 30.1743i 0.556906 + 1.19461i
\(639\) −1.49400 + 0.682285i −0.0591015 + 0.0269908i
\(640\) 5.85562 10.3132i 0.231464 0.407666i
\(641\) −15.9045 24.7478i −0.628188 0.977480i −0.998814 0.0486975i \(-0.984493\pi\)
0.370625 0.928782i \(-0.379143\pi\)
\(642\) 19.8144 + 2.69070i 0.782012 + 0.106194i
\(643\) 40.4808 1.59641 0.798203 0.602388i \(-0.205784\pi\)
0.798203 + 0.602388i \(0.205784\pi\)
\(644\) 6.21453 14.3757i 0.244887 0.566481i
\(645\) −7.33233 −0.288710
\(646\) 15.9669 + 2.16822i 0.628207 + 0.0853077i
\(647\) −9.63421 14.9911i −0.378760 0.589362i 0.598573 0.801068i \(-0.295734\pi\)
−0.977333 + 0.211706i \(0.932098\pi\)
\(648\) 2.69439 0.860382i 0.105846 0.0337990i
\(649\) −2.78133 + 1.27019i −0.109177 + 0.0498593i
\(650\) −14.1888 30.4363i −0.556532 1.19381i
\(651\) 11.7047 3.43681i 0.458744 0.134699i
\(652\) 14.1781 + 21.3200i 0.555257 + 0.834954i
\(653\) −6.58588 + 14.4211i −0.257725 + 0.564340i −0.993623 0.112753i \(-0.964033\pi\)
0.735898 + 0.677093i \(0.236760\pi\)
\(654\) −24.5230 + 7.40965i −0.958925 + 0.289740i
\(655\) 2.17331 + 2.50813i 0.0849183 + 0.0980009i
\(656\) 2.20536 19.7005i 0.0861049 0.769176i
\(657\) −5.05464 1.48418i −0.197200 0.0579032i
\(658\) 11.0234 1.67313i 0.429737 0.0652252i
\(659\) −13.3920 8.60650i −0.521678 0.335262i 0.253158 0.967425i \(-0.418531\pi\)
−0.774835 + 0.632163i \(0.782167\pi\)
\(660\) −1.03432 + 8.09137i −0.0402607 + 0.314956i
\(661\) 20.7988 + 2.99041i 0.808978 + 0.116314i 0.534379 0.845245i \(-0.320546\pi\)
0.274600 + 0.961559i \(0.411455\pi\)
\(662\) −7.35575 + 11.6452i −0.285889 + 0.452605i
\(663\) 1.92424 + 13.3834i 0.0747313 + 0.519768i
\(664\) 6.16970 + 6.79114i 0.239431 + 0.263547i
\(665\) 6.63485 + 5.74913i 0.257288 + 0.222942i
\(666\) −7.33956 11.2263i −0.284402 0.435012i
\(667\) −24.4837 15.5724i −0.948014 0.602966i
\(668\) 29.3155 + 12.8370i 1.13425 + 0.496679i
\(669\) 0.171593 0.198029i 0.00663418 0.00765625i
\(670\) −0.434234 0.194213i −0.0167759 0.00750311i
\(671\) −42.5920 + 6.12380i −1.64425 + 0.236407i
\(672\) 9.08414 1.67134i 0.350428 0.0644732i
\(673\) 3.15153 21.9194i 0.121483 0.844930i −0.834396 0.551166i \(-0.814183\pi\)
0.955878 0.293764i \(-0.0949078\pi\)
\(674\) −15.7838 13.4618i −0.607967 0.518528i
\(675\) −2.10913 + 3.28187i −0.0811804 + 0.126319i
\(676\) −32.0623 35.8518i −1.23317 1.37891i
\(677\) −0.360831 + 1.22888i −0.0138679 + 0.0472297i −0.966136 0.258032i \(-0.916926\pi\)
0.952268 + 0.305262i \(0.0987441\pi\)
\(678\) −20.3421 5.80038i −0.781235 0.222762i
\(679\) −6.41910 + 5.56219i −0.246343 + 0.213457i
\(680\) 0.783937 6.53938i 0.0300626 0.250774i
\(681\) −24.0701 10.9924i −0.922367 0.421231i
\(682\) 0.321878 + 41.1082i 0.0123253 + 1.57411i
\(683\) −13.4812 45.9129i −0.515846 1.75681i −0.643970 0.765051i \(-0.722714\pi\)
0.128125 0.991758i \(-0.459104\pi\)
\(684\) 8.71569 + 5.41028i 0.333253 + 0.206867i
\(685\) −1.96371 4.29992i −0.0750294 0.164291i
\(686\) −17.2932 19.6445i −0.660257 0.750029i
\(687\) −3.05303 + 1.96206i −0.116480 + 0.0748574i
\(688\) −27.9655 + 0.876151i −1.06617 + 0.0334029i
\(689\) 37.1303i 1.41455i
\(690\) −3.03428 6.42959i −0.115513 0.244770i
\(691\) 30.1218i 1.14589i −0.819595 0.572943i \(-0.805802\pi\)
0.819595 0.572943i \(-0.194198\pi\)
\(692\) 15.5261 + 32.6351i 0.590213 + 1.24060i
\(693\) −5.34453 + 3.43472i −0.203022 + 0.130474i
\(694\) 30.1839 26.5711i 1.14577 1.00863i
\(695\) −5.89693 12.9125i −0.223683 0.489798i
\(696\) −0.401940 17.1082i −0.0152355 0.648486i
\(697\) −3.10158 10.5630i −0.117481 0.400102i
\(698\) −25.5820 + 0.200308i −0.968295 + 0.00758177i
\(699\) 24.6817 + 11.2718i 0.933548 + 0.426337i
\(700\) −8.19099 + 9.75754i −0.309590 + 0.368800i
\(701\) −5.49453 + 4.76104i −0.207526 + 0.179822i −0.752422 0.658682i \(-0.771114\pi\)
0.544896 + 0.838503i \(0.316569\pi\)
\(702\) −2.36040 + 8.27803i −0.0890877 + 0.312434i
\(703\) 13.7052 46.6757i 0.516902 1.76041i
\(704\) −2.97803 + 30.9841i −0.112239 + 1.16776i
\(705\) 2.73643 4.25797i 0.103060 0.160364i
\(706\) 26.7669 31.3838i 1.00738 1.18115i
\(707\) 1.33827 9.30786i 0.0503307 0.350058i
\(708\) 1.57151 0.0246115i 0.0590611 0.000924957i
\(709\) −15.6321 + 2.24756i −0.587078 + 0.0844090i −0.429452 0.903090i \(-0.641293\pi\)
−0.157626 + 0.987499i \(0.550384\pi\)
\(710\) −0.994084 + 2.22263i −0.0373073 + 0.0834139i
\(711\) 4.09694 4.72812i 0.153647 0.177319i
\(712\) −8.25232 + 1.38506i −0.309269 + 0.0519074i
\(713\) −19.5127 30.0505i −0.730757 1.12540i
\(714\) 4.29337 2.80693i 0.160676 0.105047i
\(715\) −18.7619 16.2572i −0.701653 0.607986i
\(716\) 28.6534 4.57879i 1.07083 0.171117i
\(717\) −1.83649 12.7731i −0.0685851 0.477020i
\(718\) −2.51081 1.58596i −0.0937026 0.0591875i
\(719\) 22.3902 + 3.21922i 0.835013 + 0.120057i 0.546542 0.837432i \(-0.315944\pi\)
0.288471 + 0.957489i \(0.406853\pi\)
\(720\) 2.15535 3.59665i 0.0803250 0.134039i
\(721\) −13.4404 8.63763i −0.500547 0.321682i
\(722\) 1.55101 + 10.2189i 0.0577227 + 0.380307i
\(723\) −6.92998 2.03483i −0.257729 0.0756760i
\(724\) −7.59403 24.4404i −0.282230 0.908321i
\(725\) 15.4569 + 17.8382i 0.574056 + 0.662496i
\(726\) −1.69293 5.60292i −0.0628305 0.207944i
\(727\) −11.0700 + 24.2400i −0.410565 + 0.899012i 0.585524 + 0.810655i \(0.300889\pi\)
−0.996089 + 0.0883565i \(0.971839\pi\)
\(728\) −11.0737 + 25.8374i −0.410420 + 0.957599i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) −7.07826 + 3.29975i −0.261978 + 0.122129i
\(731\) −14.1340 + 6.45477i −0.522764 + 0.238738i
\(732\) 21.3175 + 5.89842i 0.787919 + 0.218012i
\(733\) 17.8561 + 27.7847i 0.659532 + 1.02625i 0.996406 + 0.0847020i \(0.0269938\pi\)
−0.336874 + 0.941550i \(0.609370\pi\)
\(734\) −5.60367 + 41.2656i −0.206835 + 1.52314i
\(735\) −4.54303 −0.167572
\(736\) −12.3410 24.1599i −0.454895 0.890545i
\(737\) 1.24849 0.0459887
\(738\) 0.943093 6.94495i 0.0347157 0.255647i
\(739\) 15.3538 + 23.8910i 0.564799 + 0.878844i 0.999767 0.0216020i \(-0.00687666\pi\)
−0.434968 + 0.900446i \(0.643240\pi\)
\(740\) −19.1636 5.30245i −0.704470 0.194922i
\(741\) −28.3988 + 12.9693i −1.04326 + 0.476440i
\(742\) −12.7671 + 5.95179i −0.468695 + 0.218497i
\(743\) −14.8937 + 4.37317i −0.546396 + 0.160436i −0.543269 0.839559i \(-0.682813\pi\)
−0.00312688 + 0.999995i \(0.500995\pi\)
\(744\) 8.32437 19.4226i 0.305186 0.712066i
\(745\) −3.96879 + 8.69044i −0.145405 + 0.318393i
\(746\) 13.8468 + 45.8273i 0.506967 + 1.67786i
\(747\) 2.12432 + 2.45160i 0.0777250 + 0.0896994i
\(748\) 5.12920 + 16.5077i 0.187542 + 0.603580i
\(749\) 22.1520 + 6.50442i 0.809417 + 0.237666i
\(750\) 1.98014 + 13.0462i 0.0723043 + 0.476378i
\(751\) −6.56327 4.21796i −0.239497 0.153915i 0.415387 0.909645i \(-0.363646\pi\)
−0.654884 + 0.755729i \(0.727283\pi\)
\(752\) 9.92795 16.5669i 0.362035 0.604131i
\(753\) −24.7977 3.56537i −0.903678 0.129929i
\(754\) 44.0326 + 27.8133i 1.60357 + 1.01290i
\(755\) 1.13983 + 7.92768i 0.0414826 + 0.288518i
\(756\) 3.22472 0.515308i 0.117282 0.0187416i
\(757\) 29.3012 + 25.3897i 1.06497 + 0.922803i 0.997191 0.0748969i \(-0.0238628\pi\)
0.0677805 + 0.997700i \(0.478408\pi\)
\(758\) 26.6990 17.4553i 0.969753 0.634006i
\(759\) 14.1596 + 12.1531i 0.513959 + 0.441131i
\(760\) 14.9978 2.51722i 0.544028 0.0913092i
\(761\) 8.98849 10.3733i 0.325832 0.376031i −0.569073 0.822287i \(-0.692698\pi\)
0.894905 + 0.446257i \(0.147243\pi\)
\(762\) 4.84310 10.8285i 0.175447 0.392275i
\(763\) −29.2768 + 4.20937i −1.05989 + 0.152390i
\(764\) −20.0746 + 0.314389i −0.726275 + 0.0113742i
\(765\) 0.331391 2.30487i 0.0119815 0.0833328i
\(766\) −24.1345 + 28.2974i −0.872015 + 1.02243i
\(767\) −2.58605 + 4.02397i −0.0933767 + 0.145297i
\(768\) 7.79072 13.9751i 0.281123 0.504285i
\(769\) −0.144787 + 0.493098i −0.00522114 + 0.0177816i −0.962062 0.272830i \(-0.912040\pi\)
0.956841 + 0.290611i \(0.0938586\pi\)
\(770\) −2.58256 + 9.05713i −0.0930689 + 0.326396i
\(771\) −19.0055 + 16.4684i −0.684468 + 0.593095i
\(772\) −17.1765 + 20.4616i −0.618197 + 0.736429i
\(773\) 18.8450 + 8.60624i 0.677809 + 0.309545i 0.724411 0.689369i \(-0.242112\pi\)
−0.0466020 + 0.998914i \(0.514839\pi\)
\(774\) −9.89184 + 0.0774534i −0.355555 + 0.00278400i
\(775\) 8.21131 + 27.9651i 0.294959 + 1.00454i
\(776\) 0.345573 + 14.7090i 0.0124053 + 0.528023i
\(777\) −6.43310 14.0865i −0.230786 0.505351i
\(778\) −0.822391 + 0.723957i −0.0294841 + 0.0259551i
\(779\) 21.3844 13.7429i 0.766177 0.492392i
\(780\) 5.48220 + 11.5233i 0.196294 + 0.412601i
\(781\) 6.39041i 0.228667i
\(782\) −11.5090 9.72272i −0.411562 0.347684i
\(783\) 6.05034i 0.216222i
\(784\) −17.3271 + 0.542854i −0.618826 + 0.0193876i
\(785\) 14.8065 9.51556i 0.528466 0.339625i
\(786\) 2.95845 + 3.36070i 0.105524 + 0.119872i
\(787\) 11.1191 + 24.3473i 0.396351 + 0.867888i 0.997627 + 0.0688469i \(0.0219320\pi\)
−0.601276 + 0.799041i \(0.705341\pi\)
\(788\) 43.7791 + 27.1760i 1.55956 + 0.968103i
\(789\) 5.21702 + 17.7676i 0.185731 + 0.632542i
\(790\) −0.0726177 9.27426i −0.00258362 0.329963i
\(791\) −22.2157 10.1456i −0.789898 0.360734i
\(792\) −1.30989 + 10.9268i −0.0465451 + 0.388266i
\(793\) −50.8733 + 44.0820i −1.80656 + 1.56540i
\(794\) −5.50076 1.56849i −0.195215 0.0556637i
\(795\) −1.80155 + 6.13552i −0.0638944 + 0.217604i
\(796\) −8.75322 9.78777i −0.310250 0.346918i
\(797\) −0.851164 + 1.32444i −0.0301498 + 0.0469140i −0.856001 0.516974i \(-0.827059\pi\)
0.825852 + 0.563888i \(0.190695\pi\)
\(798\) 9.01162 + 7.68590i 0.319008 + 0.272078i
\(799\) 1.52645 10.6167i 0.0540019 0.375592i
\(800\) 3.99319 + 21.7040i 0.141181 + 0.767353i
\(801\) −2.92833 + 0.421031i −0.103468 + 0.0148764i
\(802\) −22.1406 9.90251i −0.781812 0.349670i
\(803\) 13.4228 15.4907i 0.473679 0.546655i
\(804\) −0.587864 0.257421i −0.0207324 0.00907853i
\(805\) −2.34967 7.86511i −0.0828149 0.277209i
\(806\) 35.1914 + 53.8276i 1.23957 + 1.89600i
\(807\) −2.45971 2.13135i −0.0865859 0.0750271i
\(808\) −10.9534 12.0566i −0.385338 0.424150i
\(809\) −2.07314 14.4190i −0.0728879 0.506946i −0.993260 0.115904i \(-0.963024\pi\)
0.920373 0.391043i \(-0.127885\pi\)
\(810\) 0.791687 1.25336i 0.0278170 0.0440385i
\(811\) −17.0011 2.44439i −0.596989 0.0858341i −0.162805 0.986658i \(-0.552054\pi\)
−0.434184 + 0.900824i \(0.642963\pi\)
\(812\) 2.50530 19.5987i 0.0879186 0.687781i
\(813\) −6.20207 3.98583i −0.217516 0.139789i
\(814\) 51.5959 7.83118i 1.80843 0.274483i
\(815\) 12.8761 + 3.78077i 0.451030 + 0.132434i
\(816\) 0.988510 8.83037i 0.0346048 0.309125i
\(817\) −23.4949 27.1145i −0.821981 0.948617i
\(818\) −0.482372 + 0.145749i −0.0168657 + 0.00509600i
\(819\) −4.12863 + 9.04044i −0.144266 + 0.315898i
\(820\) −5.75348 8.65166i −0.200920 0.302129i
\(821\) −38.9358 + 11.4326i −1.35887 + 0.399000i −0.878364 0.477992i \(-0.841365\pi\)
−0.480505 + 0.876992i \(0.659547\pi\)
\(822\) −2.69460 5.78016i −0.0939851 0.201606i
\(823\) 16.7661 7.65683i 0.584430 0.266900i −0.101181 0.994868i \(-0.532262\pi\)
0.685611 + 0.727968i \(0.259535\pi\)
\(824\) −26.3638 + 8.41858i −0.918427 + 0.293275i
\(825\) −8.20631 12.7693i −0.285707 0.444569i
\(826\) 1.79815 + 0.244181i 0.0625657 + 0.00849613i
\(827\) 3.14873 0.109492 0.0547460 0.998500i \(-0.482565\pi\)
0.0547460 + 0.998500i \(0.482565\pi\)
\(828\) −4.16137 8.64193i −0.144618 0.300328i
\(829\) 21.6870 0.753220 0.376610 0.926372i \(-0.377090\pi\)
0.376610 + 0.926372i \(0.377090\pi\)
\(830\) 4.76525 + 0.647099i 0.165404 + 0.0224611i
\(831\) 3.30485 + 5.14245i 0.114644 + 0.178390i
\(832\) 22.2860 + 43.2948i 0.772629 + 1.50098i
\(833\) −8.75726 + 3.99931i −0.303421 + 0.138568i
\(834\) −8.09178 17.3576i −0.280195 0.601043i
\(835\) 16.0942 4.72567i 0.556961 0.163539i
\(836\) −33.2357 + 22.1022i −1.14948 + 0.764421i
\(837\) 3.10358 6.79590i 0.107276 0.234901i
\(838\) −17.5540 + 5.30397i −0.606393 + 0.183222i
\(839\) −13.9701 16.1223i −0.482301 0.556605i 0.461491 0.887145i \(-0.347315\pi\)
−0.943792 + 0.330540i \(0.892769\pi\)
\(840\) 3.08348 3.73216i 0.106390 0.128772i
\(841\) −7.29852 2.14304i −0.251673 0.0738978i
\(842\) 1.38331 0.209957i 0.0476719 0.00723561i
\(843\) 14.1296 + 9.08056i 0.486650 + 0.312751i
\(844\) 35.8076 + 4.57726i 1.23255 + 0.157556i
\(845\) −24.9525 3.58762i −0.858391 0.123418i
\(846\) 3.64666 5.77321i 0.125375 0.198487i
\(847\) −0.961742 6.68906i −0.0330458 0.229839i
\(848\) −6.13797 + 23.6161i −0.210779 + 0.810981i
\(849\) −13.4610 11.6640i −0.461981 0.400309i
\(850\) 6.70637 + 10.2578i 0.230026 + 0.351840i
\(851\) −34.2344 + 29.9475i −1.17354 + 1.02659i
\(852\) −1.31761 + 3.00899i −0.0451407 + 0.103086i
\(853\) −23.3620 + 26.9612i −0.799899 + 0.923132i −0.998376 0.0569732i \(-0.981855\pi\)
0.198477 + 0.980106i \(0.436401\pi\)
\(854\) 23.3121 + 10.4265i 0.797724 + 0.356786i
\(855\) 5.32197 0.765183i 0.182007 0.0261687i
\(856\) 33.1267 22.4058i 1.13225 0.765815i
\(857\) −3.38685 + 23.5560i −0.115692 + 0.804659i 0.846520 + 0.532357i \(0.178694\pi\)
−0.962212 + 0.272301i \(0.912215\pi\)
\(858\) −25.4828 21.7340i −0.869969 0.741986i
\(859\) 2.96480 4.61332i 0.101158 0.157404i −0.786985 0.616972i \(-0.788359\pi\)
0.888143 + 0.459568i \(0.151996\pi\)
\(860\) −10.9311 + 9.77568i −0.372746 + 0.333348i
\(861\) 2.27980 7.76429i 0.0776954 0.264606i
\(862\) 35.7280 + 10.1875i 1.21690 + 0.346988i
\(863\) 16.4564 14.2595i 0.560181 0.485400i −0.328136 0.944631i \(-0.606420\pi\)
0.888317 + 0.459231i \(0.151875\pi\)
\(864\) 2.86972 4.87490i 0.0976300 0.165848i
\(865\) 17.2302 + 7.86879i 0.585846 + 0.267547i
\(866\) −0.105789 13.5107i −0.00359486 0.459111i
\(867\) 3.39923 + 11.5767i 0.115444 + 0.393166i
\(868\) 12.8674 20.7287i 0.436747 0.703577i
\(869\) 10.1120 + 22.1423i 0.343027 + 0.751125i
\(870\) −5.92658 6.73239i −0.200930 0.228250i
\(871\) 1.64305 1.05593i 0.0556728 0.0357787i
\(872\) −26.6802 + 43.7411i −0.903506 + 1.48126i
\(873\) 5.20186i 0.176056i
\(874\) 14.0536 31.8228i 0.475369 1.07642i
\(875\) 15.2353i 0.515047i
\(876\) −9.51422 + 4.52638i −0.321456 + 0.152932i
\(877\) −26.7103 + 17.1656i −0.901942 + 0.579643i −0.907365 0.420343i \(-0.861910\pi\)
0.00542388 + 0.999985i \(0.498274\pi\)
\(878\) −29.9506 + 26.3657i −1.01078 + 0.889801i
\(879\) 1.38955 + 3.04269i 0.0468684 + 0.102627i
\(880\) 9.24570 + 13.4416i 0.311672 + 0.453118i
\(881\) 15.6620 + 53.3398i 0.527666 + 1.79706i 0.600385 + 0.799711i \(0.295014\pi\)
−0.0727191 + 0.997352i \(0.523168\pi\)
\(882\) −6.12888 + 0.0479893i −0.206370 + 0.00161588i
\(883\) 39.4193 + 18.0022i 1.32656 + 0.605822i 0.947561 0.319574i \(-0.103540\pi\)
0.379003 + 0.925396i \(0.376267\pi\)
\(884\) 20.7118 + 17.3866i 0.696613 + 0.584774i
\(885\) 0.622567 0.539457i 0.0209273 0.0181337i
\(886\) −9.93546 + 34.8440i −0.333788 + 1.17061i
\(887\) 9.43689 32.1391i 0.316860 1.07912i −0.634980 0.772529i \(-0.718992\pi\)
0.951840 0.306596i \(-0.0991901\pi\)
\(888\) −25.9091 6.95095i −0.869454 0.233259i
\(889\) 7.40452 11.5217i 0.248340 0.386424i
\(890\) −2.84602 + 3.33692i −0.0953989 + 0.111854i
\(891\) −0.553727 + 3.85125i −0.0185505 + 0.129022i
\(892\) −0.00820632 0.523996i −0.000274768 0.0175447i
\(893\) 24.5140 3.52458i 0.820331 0.117946i
\(894\) −5.26238 + 11.7659i −0.176000 + 0.393512i
\(895\) 9.95950 11.4939i 0.332909 0.384198i
\(896\) 11.3144 14.6029i 0.377988 0.487848i
\(897\) 28.9132 + 4.01829i 0.965383 + 0.134167i
\(898\) −5.59629 + 3.65875i −0.186751 + 0.122094i
\(899\) −34.1617 29.6012i −1.13936 0.987257i
\(900\) 1.23118 + 7.70458i 0.0410395 + 0.256819i
\(901\) 1.92849 + 13.4129i 0.0642472 + 0.446849i
\(902\) 23.0556 + 14.5631i 0.767667 + 0.484898i
\(903\) −11.3050 1.62541i −0.376206 0.0540903i
\(904\) −38.0594 + 18.4735i −1.26584 + 0.614420i
\(905\) −11.2846 7.25216i −0.375112 0.241070i
\(906\) 1.62145 + 10.6830i 0.0538691 + 0.354918i
\(907\) −10.0763 2.95868i −0.334579 0.0982412i 0.110128 0.993917i \(-0.464874\pi\)
−0.444707 + 0.895676i \(0.646692\pi\)
\(908\) −50.5392 + 15.7034i −1.67720 + 0.521134i
\(909\) −3.77141 4.35244i −0.125090 0.144361i
\(910\) 4.26146 + 14.1037i 0.141266 + 0.467534i
\(911\) 13.6163 29.8155i 0.451127 0.987831i −0.538294 0.842757i \(-0.680931\pi\)
0.989421 0.145074i \(-0.0463419\pi\)
\(912\) 20.2065 3.55434i 0.669105 0.117696i
\(913\) −12.1104 + 3.55594i −0.400796 + 0.117684i
\(914\) −15.8771 + 7.40162i −0.525168 + 0.244824i
\(915\) 10.5453 4.81587i 0.348616 0.159208i
\(916\) −1.93559 + 6.99545i −0.0639538 + 0.231136i
\(917\) 2.79481 + 4.34882i 0.0922929 + 0.143611i
\(918\) 0.422723 3.11294i 0.0139519 0.102742i
\(919\) 10.3526 0.341502 0.170751 0.985314i \(-0.445381\pi\)
0.170751 + 0.985314i \(0.445381\pi\)
\(920\) −13.0956 5.53988i −0.431750 0.182645i
\(921\) −30.5548 −1.00681
\(922\) −2.15964 + 15.9036i −0.0711239 + 0.523758i
\(923\) −5.40478 8.41001i −0.177901 0.276819i
\(924\) −3.38838 + 12.2460i −0.111470 + 0.402864i
\(925\) 33.6558 15.3701i 1.10660 0.505366i
\(926\) −37.0530 + 17.2734i −1.21764 + 0.567640i
\(927\) −9.38836 + 2.75667i −0.308354 + 0.0905409i
\(928\) −23.4084 24.9692i −0.768419 0.819653i
\(929\) 18.1490 39.7407i 0.595449 1.30385i −0.336644 0.941632i \(-0.609292\pi\)
0.932093 0.362219i \(-0.117981\pi\)
\(930\) −3.20343 10.6021i −0.105045 0.347656i
\(931\) −14.5572 16.7999i −0.477092 0.550594i
\(932\) 51.8235 16.1024i 1.69753 0.527451i
\(933\) 10.9528 + 3.21604i 0.358580 + 0.105289i
\(934\) −2.66684 17.5705i −0.0872616 0.574925i
\(935\) 7.62188 + 4.89828i 0.249262 + 0.160191i
\(936\) 7.51761 + 15.4879i 0.245721 + 0.506237i
\(937\) −9.93644 1.42865i −0.324609 0.0466718i −0.0219162 0.999760i \(-0.506977\pi\)
−0.302693 + 0.953088i \(0.597886\pi\)
\(938\) −0.626449 0.395698i −0.0204543 0.0129200i
\(939\) 0.144130 + 1.00245i 0.00470350 + 0.0327136i
\(940\) −1.59737 9.99609i −0.0521004 0.326037i
\(941\) −15.1888 13.1612i −0.495141 0.429042i 0.371157 0.928570i \(-0.378961\pi\)
−0.866298 + 0.499528i \(0.833507\pi\)
\(942\) 19.8745 12.9936i 0.647547 0.423354i
\(943\) −23.7674 + 0.111856i −0.773972 + 0.00364254i
\(944\) 2.31001 2.13188i 0.0751843 0.0693868i
\(945\) 1.12087 1.29355i 0.0364617 0.0420791i
\(946\) 15.7142 35.1349i 0.510914 1.14233i
\(947\) 32.1298 4.61957i 1.04408 0.150116i 0.401127 0.916023i \(-0.368619\pi\)
0.642952 + 0.765907i \(0.277710\pi\)
\(948\) −0.195933 12.5109i −0.00636361 0.406334i
\(949\) 4.56336 31.7388i 0.148133 1.03029i
\(950\) −18.3633 + 21.5307i −0.595785 + 0.698550i
\(951\) 7.13413 11.1009i 0.231340 0.359972i
\(952\) 2.65831 9.90863i 0.0861562 0.321141i
\(953\) 15.1690 51.6610i 0.491373 1.67346i −0.223895 0.974613i \(-0.571877\pi\)
0.715268 0.698850i \(-0.246304\pi\)
\(954\) −2.36561 + 8.29629i −0.0765895 + 0.268602i
\(955\) −7.95272 + 6.89107i −0.257344 + 0.222990i
\(956\) −19.7673 16.5937i −0.639320 0.536679i
\(957\) 21.4137 + 9.77929i 0.692205 + 0.316120i
\(958\) 36.4543 0.285438i 1.17778 0.00922209i
\(959\) −2.07445 7.06492i −0.0669875 0.228138i
\(960\) −1.58196 8.23547i −0.0510574 0.265799i
\(961\) −10.3091 22.5738i −0.332552 0.728188i
\(962\) 61.2787 53.9441i 1.97570 1.73923i
\(963\) 11.8949 7.64438i 0.383307 0.246337i
\(964\) −13.0441 + 6.20573i −0.420123 + 0.199873i
\(965\) 14.0022i 0.450748i
\(966\) −3.25295 10.5858i −0.104662 0.340592i
\(967\) 27.4522i 0.882802i 0.897310 + 0.441401i \(0.145518\pi\)
−0.897310 + 0.441401i \(0.854482\pi\)
\(968\) −9.99381 6.09580i −0.321213 0.195926i
\(969\) 9.58515 6.16000i 0.307919 0.197888i
\(970\) 5.09545 + 5.78826i 0.163605 + 0.185850i
\(971\) −3.14673 6.89037i −0.100983 0.221122i 0.852396 0.522896i \(-0.175149\pi\)
−0.953380 + 0.301774i \(0.902421\pi\)
\(972\) 1.05480 1.69923i 0.0338328 0.0545029i
\(973\) −6.22948 21.2157i −0.199708 0.680143i
\(974\) −0.378869 48.3867i −0.0121398 1.55041i
\(975\) −21.5996 9.86421i −0.691741 0.315908i
\(976\) 39.6442 19.6278i 1.26898 0.628270i
\(977\) −17.1639 + 14.8726i −0.549123 + 0.475817i −0.884678 0.466203i \(-0.845622\pi\)
0.335555 + 0.942021i \(0.391076\pi\)
\(978\) 17.4107 + 4.96451i 0.556734 + 0.158748i
\(979\) 3.24299 11.0446i 0.103646 0.352987i
\(980\) −6.77278 + 6.05691i −0.216348 + 0.193481i
\(981\) −9.79351 + 15.2390i −0.312683 + 0.486544i
\(982\) −25.0009 21.3230i −0.797812 0.680444i
\(983\) −2.31473 + 16.0993i −0.0738284 + 0.513488i 0.919030 + 0.394188i \(0.128974\pi\)
−0.992858 + 0.119300i \(0.961935\pi\)
\(984\) −7.85325 11.6109i −0.250352 0.370143i
\(985\) 26.7323 3.84353i 0.851763 0.122465i
\(986\) −17.3509 7.76026i −0.552564 0.247137i
\(987\) 5.16292 5.95833i 0.164338 0.189656i
\(988\) −25.0460 + 57.1969i −0.796821 + 1.81967i
\(989\) 4.93029 + 33.1816i 0.156774 + 1.05511i
\(990\) 3.15632 + 4.82780i 0.100315 + 0.153438i
\(991\) −2.47654 2.14594i −0.0786699 0.0681679i 0.614638 0.788809i \(-0.289302\pi\)
−0.693308 + 0.720641i \(0.743847\pi\)
\(992\) −13.4847 40.0536i −0.428141 1.27170i
\(993\) 1.38609 + 9.64045i 0.0439861 + 0.305930i
\(994\) −2.02539 + 3.20649i −0.0642414 + 0.101704i
\(995\) −6.81218 0.979444i −0.215961 0.0310505i
\(996\) 6.43550 + 0.822646i 0.203917 + 0.0260665i
\(997\) −12.4638 8.01003i −0.394734 0.253680i 0.328184 0.944614i \(-0.393563\pi\)
−0.722918 + 0.690934i \(0.757200\pi\)
\(998\) 37.3698 5.67196i 1.18292 0.179543i
\(999\) −9.10002 2.67201i −0.287912 0.0845385i
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 276.2.m.a.7.14 240
3.2 odd 2 828.2.u.c.559.11 240
4.3 odd 2 inner 276.2.m.a.7.22 yes 240
12.11 even 2 828.2.u.c.559.3 240
23.10 odd 22 inner 276.2.m.a.79.22 yes 240
69.56 even 22 828.2.u.c.631.3 240
92.79 even 22 inner 276.2.m.a.79.14 yes 240
276.263 odd 22 828.2.u.c.631.11 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
276.2.m.a.7.14 240 1.1 even 1 trivial
276.2.m.a.7.22 yes 240 4.3 odd 2 inner
276.2.m.a.79.14 yes 240 92.79 even 22 inner
276.2.m.a.79.22 yes 240 23.10 odd 22 inner
828.2.u.c.559.3 240 12.11 even 2
828.2.u.c.559.11 240 3.2 odd 2
828.2.u.c.631.3 240 69.56 even 22
828.2.u.c.631.11 240 276.263 odd 22