Properties

Label 490.2.s.a.237.16
Level $490$
Weight $2$
Character 490.237
Analytic conductor $3.913$
Analytic rank $0$
Dimension $336$
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] = [490,2,Mod(13,490)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(490, base_ring=CyclotomicField(28))
 
chi = DirichletCharacter(H, H._module([21, 22]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("490.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 490.s (of order \(28\), degree \(12\), 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: \(3.91266969904\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 237.16
Character \(\chi\) \(=\) 490.237
Dual form 490.2.s.a.153.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.111964 - 0.993712i) q^{2} +(-2.73971 - 0.958666i) q^{3} +(-0.974928 - 0.222521i) q^{4} +(2.16141 - 0.572981i) q^{5} +(-1.25939 + 2.61515i) q^{6} +(2.33738 + 1.23962i) q^{7} +(-0.330279 + 0.943883i) q^{8} +(4.24148 + 3.38247i) q^{9} +O(q^{10})\) \(q+(0.111964 - 0.993712i) q^{2} +(-2.73971 - 0.958666i) q^{3} +(-0.974928 - 0.222521i) q^{4} +(2.16141 - 0.572981i) q^{5} +(-1.25939 + 2.61515i) q^{6} +(2.33738 + 1.23962i) q^{7} +(-0.330279 + 0.943883i) q^{8} +(4.24148 + 3.38247i) q^{9} +(-0.327377 - 2.21197i) q^{10} +(0.646794 + 0.811054i) q^{11} +(2.45770 + 1.54427i) q^{12} +(-0.790180 + 7.01304i) q^{13} +(1.49353 - 2.18389i) q^{14} +(-6.47093 - 0.502268i) q^{15} +(0.900969 + 0.433884i) q^{16} +(1.68132 + 1.05644i) q^{17} +(3.83609 - 3.83609i) q^{18} +5.66400 q^{19} +(-2.23472 + 0.0776565i) q^{20} +(-5.21537 - 5.63696i) q^{21} +(0.878372 - 0.551918i) q^{22} +(-4.02868 - 6.41161i) q^{23} +(1.80974 - 2.26934i) q^{24} +(4.34338 - 2.47689i) q^{25} +(6.88047 + 1.57042i) q^{26} +(-3.74495 - 5.96005i) q^{27} +(-2.00294 - 1.72865i) q^{28} +(3.66097 - 0.835593i) q^{29} +(-1.22362 + 6.37401i) q^{30} -0.443655i q^{31} +(0.532032 - 0.846724i) q^{32} +(-0.994498 - 2.84211i) q^{33} +(1.23805 - 1.55247i) q^{34} +(5.76232 + 1.34005i) q^{35} +(-3.38247 - 4.24148i) q^{36} +(2.01720 - 3.21036i) q^{37} +(0.634167 - 5.62839i) q^{38} +(8.88803 - 18.4562i) q^{39} +(-0.173041 + 2.22936i) q^{40} +(3.05069 + 6.33483i) q^{41} +(-6.18545 + 4.55143i) q^{42} +(-4.73014 + 1.65515i) q^{43} +(-0.450101 - 0.934645i) q^{44} +(11.1057 + 4.88061i) q^{45} +(-6.82236 + 3.28548i) q^{46} +(-12.9574 - 1.45995i) q^{47} +(-2.05244 - 2.05244i) q^{48} +(3.92670 + 5.79492i) q^{49} +(-1.97502 - 4.59340i) q^{50} +(-3.59356 - 4.50618i) q^{51} +(2.33092 - 6.66138i) q^{52} +(-0.823614 - 1.31077i) q^{53} +(-6.34187 + 3.05409i) q^{54} +(1.86271 + 1.38242i) q^{55} +(-1.94204 + 1.79680i) q^{56} +(-15.5177 - 5.42989i) q^{57} +(-0.420440 - 3.73151i) q^{58} +(3.58199 + 1.72500i) q^{59} +(6.19693 + 1.92959i) q^{60} +(2.28799 - 0.522220i) q^{61} +(-0.440865 - 0.0496736i) q^{62} +(5.72099 + 13.1639i) q^{63} +(-0.781831 - 0.623490i) q^{64} +(2.31044 + 15.6108i) q^{65} +(-2.93559 + 0.670030i) q^{66} +(11.1513 + 11.1513i) q^{67} +(-1.40409 - 1.40409i) q^{68} +(4.89082 + 21.4281i) q^{69} +(1.97679 - 5.57605i) q^{70} +(2.52214 - 11.0502i) q^{71} +(-4.59352 + 2.88630i) q^{72} +(0.463949 - 0.0522745i) q^{73} +(-2.96432 - 2.36396i) q^{74} +(-14.2741 + 2.62212i) q^{75} +(-5.52199 - 1.26036i) q^{76} +(0.506407 + 2.69752i) q^{77} +(-17.3450 - 10.8986i) q^{78} -5.53351i q^{79} +(2.19597 + 0.421562i) q^{80} +(0.924808 + 4.05185i) q^{81} +(6.63657 - 2.32224i) q^{82} +(5.88584 - 0.663175i) q^{83} +(3.83027 + 6.65616i) q^{84} +(4.23935 + 1.32004i) q^{85} +(1.11513 + 4.88572i) q^{86} +(-10.8311 - 1.22037i) q^{87} +(-0.979163 + 0.342624i) q^{88} +(-7.43642 + 9.32497i) q^{89} +(6.09336 - 10.4894i) q^{90} +(-10.5404 + 15.4126i) q^{91} +(2.50096 + 7.14732i) q^{92} +(-0.425317 + 1.21549i) q^{93} +(-2.90154 + 12.7125i) q^{94} +(12.2422 - 3.24537i) q^{95} +(-2.26934 + 1.80974i) q^{96} +(2.10950 - 2.10950i) q^{97} +(6.19813 - 3.25318i) q^{98} +5.62783i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{6} + 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 336 q + 28 q^{6} + 8 q^{7} + 8 q^{11} + 44 q^{15} + 56 q^{16} + 28 q^{17} - 16 q^{21} - 20 q^{22} + 8 q^{23} - 8 q^{25} - 28 q^{26} - 8 q^{28} - 24 q^{30} + 8 q^{35} + 76 q^{36} - 24 q^{37} - 56 q^{41} - 112 q^{42} - 24 q^{43} + 112 q^{45} - 68 q^{46} - 84 q^{47} - 32 q^{50} - 80 q^{51} - 100 q^{53} + 84 q^{55} - 20 q^{56} + 92 q^{57} - 80 q^{58} - 112 q^{61} - 32 q^{67} + 52 q^{70} + 16 q^{71} - 84 q^{75} + 16 q^{77} - 80 q^{78} + 12 q^{81} + 140 q^{83} + 40 q^{85} - 8 q^{86} - 28 q^{87} - 8 q^{88} - 84 q^{90} + 124 q^{91} + 8 q^{92} + 20 q^{93} - 56 q^{95} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(197\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.111964 0.993712i 0.0791708 0.702661i
\(3\) −2.73971 0.958666i −1.58177 0.553486i −0.610616 0.791927i \(-0.709078\pi\)
−0.971157 + 0.238441i \(0.923364\pi\)
\(4\) −0.974928 0.222521i −0.487464 0.111260i
\(5\) 2.16141 0.572981i 0.966612 0.256245i
\(6\) −1.25939 + 2.61515i −0.514143 + 1.06763i
\(7\) 2.33738 + 1.23962i 0.883447 + 0.468531i
\(8\) −0.330279 + 0.943883i −0.116771 + 0.333713i
\(9\) 4.24148 + 3.38247i 1.41383 + 1.12749i
\(10\) −0.327377 2.21197i −0.103526 0.699487i
\(11\) 0.646794 + 0.811054i 0.195016 + 0.244542i 0.869719 0.493547i \(-0.164300\pi\)
−0.674703 + 0.738089i \(0.735728\pi\)
\(12\) 2.45770 + 1.54427i 0.709476 + 0.445793i
\(13\) −0.790180 + 7.01304i −0.219156 + 1.94507i 0.0944872 + 0.995526i \(0.469879\pi\)
−0.313644 + 0.949541i \(0.601550\pi\)
\(14\) 1.49353 2.18389i 0.399162 0.583669i
\(15\) −6.47093 0.502268i −1.67079 0.129685i
\(16\) 0.900969 + 0.433884i 0.225242 + 0.108471i
\(17\) 1.68132 + 1.05644i 0.407781 + 0.256226i 0.720267 0.693697i \(-0.244019\pi\)
−0.312487 + 0.949922i \(0.601162\pi\)
\(18\) 3.83609 3.83609i 0.904176 0.904176i
\(19\) 5.66400 1.29941 0.649706 0.760186i \(-0.274892\pi\)
0.649706 + 0.760186i \(0.274892\pi\)
\(20\) −2.23472 + 0.0776565i −0.499698 + 0.0173645i
\(21\) −5.21537 5.63696i −1.13809 1.23009i
\(22\) 0.878372 0.551918i 0.187270 0.117669i
\(23\) −4.02868 6.41161i −0.840038 1.33691i −0.939738 0.341895i \(-0.888931\pi\)
0.0997006 0.995017i \(-0.468212\pi\)
\(24\) 1.80974 2.26934i 0.369411 0.463227i
\(25\) 4.34338 2.47689i 0.868677 0.495379i
\(26\) 6.88047 + 1.57042i 1.34937 + 0.307985i
\(27\) −3.74495 5.96005i −0.720715 1.14701i
\(28\) −2.00294 1.72865i −0.378520 0.326685i
\(29\) 3.66097 0.835593i 0.679826 0.155166i 0.131355 0.991335i \(-0.458067\pi\)
0.548471 + 0.836170i \(0.315210\pi\)
\(30\) −1.22362 + 6.37401i −0.223402 + 1.16373i
\(31\) 0.443655i 0.0796828i −0.999206 0.0398414i \(-0.987315\pi\)
0.999206 0.0398414i \(-0.0126853\pi\)
\(32\) 0.532032 0.846724i 0.0940509 0.149681i
\(33\) −0.994498 2.84211i −0.173120 0.494748i
\(34\) 1.23805 1.55247i 0.212324 0.266246i
\(35\) 5.76232 + 1.34005i 0.974009 + 0.226509i
\(36\) −3.38247 4.24148i −0.563744 0.706913i
\(37\) 2.01720 3.21036i 0.331626 0.527779i −0.638739 0.769423i \(-0.720544\pi\)
0.970365 + 0.241644i \(0.0776866\pi\)
\(38\) 0.634167 5.62839i 0.102875 0.913045i
\(39\) 8.88803 18.4562i 1.42322 2.95535i
\(40\) −0.173041 + 2.22936i −0.0273602 + 0.352493i
\(41\) 3.05069 + 6.33483i 0.476438 + 0.989335i 0.991246 + 0.132029i \(0.0421491\pi\)
−0.514807 + 0.857306i \(0.672137\pi\)
\(42\) −6.18545 + 4.55143i −0.954436 + 0.702302i
\(43\) −4.73014 + 1.65515i −0.721340 + 0.252408i −0.665886 0.746053i \(-0.731946\pi\)
−0.0554539 + 0.998461i \(0.517661\pi\)
\(44\) −0.450101 0.934645i −0.0678553 0.140903i
\(45\) 11.1057 + 4.88061i 1.65553 + 0.727558i
\(46\) −6.82236 + 3.28548i −1.00590 + 0.484417i
\(47\) −12.9574 1.45995i −1.89003 0.212956i −0.910397 0.413737i \(-0.864223\pi\)
−0.979636 + 0.200781i \(0.935652\pi\)
\(48\) −2.05244 2.05244i −0.296245 0.296245i
\(49\) 3.92670 + 5.79492i 0.560957 + 0.827845i
\(50\) −1.97502 4.59340i −0.279309 0.649605i
\(51\) −3.59356 4.50618i −0.503199 0.630991i
\(52\) 2.33092 6.66138i 0.323240 0.923767i
\(53\) −0.823614 1.31077i −0.113132 0.180049i 0.785359 0.619041i \(-0.212478\pi\)
−0.898491 + 0.438992i \(0.855336\pi\)
\(54\) −6.34187 + 3.05409i −0.863020 + 0.415608i
\(55\) 1.86271 + 1.38242i 0.251167 + 0.186405i
\(56\) −1.94204 + 1.79680i −0.259516 + 0.240107i
\(57\) −15.5177 5.42989i −2.05537 0.719206i
\(58\) −0.420440 3.73151i −0.0552065 0.489971i
\(59\) 3.58199 + 1.72500i 0.466336 + 0.224575i 0.652270 0.757987i \(-0.273817\pi\)
−0.185934 + 0.982562i \(0.559531\pi\)
\(60\) 6.19693 + 1.92959i 0.800020 + 0.249109i
\(61\) 2.28799 0.522220i 0.292948 0.0668634i −0.0735214 0.997294i \(-0.523424\pi\)
0.366469 + 0.930430i \(0.380567\pi\)
\(62\) −0.440865 0.0496736i −0.0559900 0.00630855i
\(63\) 5.72099 + 13.1639i 0.720776 + 1.65850i
\(64\) −0.781831 0.623490i −0.0977289 0.0779362i
\(65\) 2.31044 + 15.6108i 0.286575 + 1.93628i
\(66\) −2.93559 + 0.670030i −0.361346 + 0.0824749i
\(67\) 11.1513 + 11.1513i 1.36235 + 1.36235i 0.870914 + 0.491436i \(0.163528\pi\)
0.491436 + 0.870914i \(0.336472\pi\)
\(68\) −1.40409 1.40409i −0.170271 0.170271i
\(69\) 4.89082 + 21.4281i 0.588786 + 2.57964i
\(70\) 1.97679 5.57605i 0.236272 0.666465i
\(71\) 2.52214 11.0502i 0.299322 1.31142i −0.571817 0.820381i \(-0.693761\pi\)
0.871139 0.491036i \(-0.163382\pi\)
\(72\) −4.59352 + 2.88630i −0.541352 + 0.340154i
\(73\) 0.463949 0.0522745i 0.0543011 0.00611827i −0.0847721 0.996400i \(-0.527016\pi\)
0.139073 + 0.990282i \(0.455588\pi\)
\(74\) −2.96432 2.36396i −0.344595 0.274805i
\(75\) −14.2741 + 2.62212i −1.64823 + 0.302776i
\(76\) −5.52199 1.26036i −0.633416 0.144573i
\(77\) 0.506407 + 2.69752i 0.0577105 + 0.307411i
\(78\) −17.3450 10.8986i −1.96393 1.23402i
\(79\) 5.53351i 0.622568i −0.950317 0.311284i \(-0.899241\pi\)
0.950317 0.311284i \(-0.100759\pi\)
\(80\) 2.19597 + 0.421562i 0.245517 + 0.0471321i
\(81\) 0.924808 + 4.05185i 0.102756 + 0.450205i
\(82\) 6.63657 2.32224i 0.732886 0.256448i
\(83\) 5.88584 0.663175i 0.646054 0.0727929i 0.217144 0.976140i \(-0.430326\pi\)
0.428911 + 0.903347i \(0.358897\pi\)
\(84\) 3.83027 + 6.65616i 0.417916 + 0.726246i
\(85\) 4.23935 + 1.32004i 0.459822 + 0.143179i
\(86\) 1.11513 + 4.88572i 0.120248 + 0.526841i
\(87\) −10.8311 1.22037i −1.16121 0.130837i
\(88\) −0.979163 + 0.342624i −0.104379 + 0.0365238i
\(89\) −7.43642 + 9.32497i −0.788258 + 0.988445i 0.211680 + 0.977339i \(0.432107\pi\)
−0.999938 + 0.0111058i \(0.996465\pi\)
\(90\) 6.09336 10.4894i 0.642296 1.10568i
\(91\) −10.5404 + 15.4126i −1.10494 + 1.61568i
\(92\) 2.50096 + 7.14732i 0.260743 + 0.745160i
\(93\) −0.425317 + 1.21549i −0.0441033 + 0.126040i
\(94\) −2.90154 + 12.7125i −0.299271 + 1.31119i
\(95\) 12.2422 3.24537i 1.25603 0.332968i
\(96\) −2.26934 + 1.80974i −0.231614 + 0.184706i
\(97\) 2.10950 2.10950i 0.214187 0.214187i −0.591857 0.806043i \(-0.701605\pi\)
0.806043 + 0.591857i \(0.201605\pi\)
\(98\) 6.19813 3.25318i 0.626106 0.328621i
\(99\) 5.62783i 0.565618i
\(100\) −4.78565 + 1.44830i −0.478565 + 0.144830i
\(101\) 0.692929 + 1.43888i 0.0689490 + 0.143174i 0.932595 0.360925i \(-0.117539\pi\)
−0.863646 + 0.504099i \(0.831825\pi\)
\(102\) −4.88020 + 3.06643i −0.483211 + 0.303622i
\(103\) −5.11393 1.78944i −0.503891 0.176319i 0.0663504 0.997796i \(-0.478864\pi\)
−0.570241 + 0.821477i \(0.693150\pi\)
\(104\) −6.35851 3.06210i −0.623503 0.300263i
\(105\) −14.5024 9.19547i −1.41529 0.897386i
\(106\) −1.39475 + 0.671675i −0.135470 + 0.0652388i
\(107\) 16.0291 1.80604i 1.54959 0.174597i 0.704688 0.709517i \(-0.251087\pi\)
0.844902 + 0.534920i \(0.179658\pi\)
\(108\) 2.32482 + 6.64395i 0.223706 + 0.639314i
\(109\) −3.61849 + 2.88565i −0.346588 + 0.276395i −0.781275 0.624187i \(-0.785430\pi\)
0.434687 + 0.900582i \(0.356859\pi\)
\(110\) 1.58228 1.69621i 0.150865 0.161727i
\(111\) −8.60420 + 6.86162i −0.816675 + 0.651277i
\(112\) 1.56806 + 2.13101i 0.148168 + 0.201361i
\(113\) −0.829740 7.36415i −0.0780554 0.692761i −0.970416 0.241438i \(-0.922381\pi\)
0.892361 0.451323i \(-0.149048\pi\)
\(114\) −7.13318 + 14.8122i −0.668083 + 1.38729i
\(115\) −12.3814 11.5498i −1.15457 1.07702i
\(116\) −3.75512 −0.348654
\(117\) −27.0729 + 27.0729i −2.50289 + 2.50289i
\(118\) 2.11521 3.36633i 0.194721 0.309896i
\(119\) 2.62030 + 4.55351i 0.240203 + 0.417420i
\(120\) 2.61130 5.94192i 0.238378 0.542421i
\(121\) 2.20826 9.67504i 0.200751 0.879549i
\(122\) −0.262762 2.33208i −0.0237893 0.211136i
\(123\) −2.28503 20.2802i −0.206034 1.82860i
\(124\) −0.0987225 + 0.432532i −0.00886554 + 0.0388425i
\(125\) 7.96862 7.84226i 0.712735 0.701433i
\(126\) 13.7217 4.21112i 1.22243 0.375157i
\(127\) −8.36817 + 13.3179i −0.742555 + 1.18177i 0.235186 + 0.971950i \(0.424430\pi\)
−0.977740 + 0.209819i \(0.932713\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) 14.5460 1.28070
\(130\) 15.7713 0.548054i 1.38324 0.0480675i
\(131\) 4.42150 9.18134i 0.386308 0.802178i −0.613613 0.789607i \(-0.710284\pi\)
0.999921 0.0125705i \(-0.00400141\pi\)
\(132\) 0.337135 + 2.99215i 0.0293438 + 0.260433i
\(133\) 13.2389 + 7.02119i 1.14796 + 0.608815i
\(134\) 12.3297 9.83264i 1.06513 0.849411i
\(135\) −11.5094 10.7363i −0.990568 0.924035i
\(136\) −1.55247 + 1.23805i −0.133123 + 0.106162i
\(137\) −2.76014 7.88802i −0.235815 0.673919i −0.999595 0.0284437i \(-0.990945\pi\)
0.763781 0.645476i \(-0.223341\pi\)
\(138\) 21.8410 2.46089i 1.85923 0.209485i
\(139\) −10.2712 + 4.94635i −0.871192 + 0.419544i −0.815400 0.578898i \(-0.803483\pi\)
−0.0557925 + 0.998442i \(0.517769\pi\)
\(140\) −5.31965 2.58868i −0.449593 0.218784i
\(141\) 34.1000 + 16.4217i 2.87173 + 1.38295i
\(142\) −10.6983 3.74351i −0.897784 0.314148i
\(143\) −6.19904 + 3.89511i −0.518390 + 0.325726i
\(144\) 2.35384 + 4.88780i 0.196154 + 0.407317i
\(145\) 7.43409 3.90373i 0.617367 0.324187i
\(146\) 0.466885i 0.0386397i
\(147\) −5.20263 19.6408i −0.429105 1.61994i
\(148\) −2.68100 + 2.68100i −0.220377 + 0.220377i
\(149\) 12.3623 9.85860i 1.01276 0.807648i 0.0313367 0.999509i \(-0.490024\pi\)
0.981422 + 0.191861i \(0.0614522\pi\)
\(150\) 1.00744 + 14.4780i 0.0822567 + 1.18212i
\(151\) 0.372621 1.63256i 0.0303235 0.132856i −0.957500 0.288432i \(-0.906866\pi\)
0.987824 + 0.155576i \(0.0497233\pi\)
\(152\) −1.87070 + 5.34616i −0.151734 + 0.433631i
\(153\) 3.55790 + 10.1679i 0.287639 + 0.822026i
\(154\) 2.73726 0.201197i 0.220575 0.0162129i
\(155\) −0.254206 0.958920i −0.0204183 0.0770223i
\(156\) −12.7721 + 16.0157i −1.02258 + 1.28228i
\(157\) 2.19477 0.767984i 0.175162 0.0612918i −0.241273 0.970457i \(-0.577565\pi\)
0.416435 + 0.909165i \(0.363279\pi\)
\(158\) −5.49871 0.619556i −0.437454 0.0492892i
\(159\) 0.999869 + 4.38071i 0.0792947 + 0.347413i
\(160\) 0.664782 2.13496i 0.0525557 0.168784i
\(161\) −1.46862 19.9804i −0.115743 1.57467i
\(162\) 4.12992 0.465330i 0.324477 0.0365598i
\(163\) −11.1220 + 3.89175i −0.871140 + 0.304825i −0.728580 0.684961i \(-0.759819\pi\)
−0.142561 + 0.989786i \(0.545534\pi\)
\(164\) −1.56457 6.85485i −0.122173 0.535274i
\(165\) −3.77800 5.57314i −0.294117 0.433869i
\(166\) 5.92308i 0.459720i
\(167\) 7.13203 + 4.48135i 0.551893 + 0.346777i 0.778932 0.627108i \(-0.215762\pi\)
−0.227039 + 0.973886i \(0.572905\pi\)
\(168\) 7.04316 3.06093i 0.543392 0.236156i
\(169\) −35.8843 8.19035i −2.76033 0.630027i
\(170\) 1.78640 4.06490i 0.137011 0.311763i
\(171\) 24.0237 + 19.1583i 1.83714 + 1.46507i
\(172\) 4.97985 0.561095i 0.379710 0.0427831i
\(173\) −0.503301 + 0.316245i −0.0382652 + 0.0240436i −0.551029 0.834486i \(-0.685765\pi\)
0.512764 + 0.858530i \(0.328622\pi\)
\(174\) −2.42539 + 10.6263i −0.183868 + 0.805579i
\(175\) 13.2225 0.405311i 0.999531 0.0306386i
\(176\) 0.230838 + 1.01137i 0.0174001 + 0.0762347i
\(177\) −8.15993 8.15993i −0.613338 0.613338i
\(178\) 8.43372 + 8.43372i 0.632134 + 0.632134i
\(179\) −16.9801 + 3.87559i −1.26915 + 0.289675i −0.803506 0.595296i \(-0.797035\pi\)
−0.465645 + 0.884972i \(0.654178\pi\)
\(180\) −9.74118 7.22948i −0.726065 0.538854i
\(181\) 5.46208 + 4.35586i 0.405993 + 0.323769i 0.805104 0.593134i \(-0.202110\pi\)
−0.399111 + 0.916903i \(0.630681\pi\)
\(182\) 14.1356 + 12.1998i 1.04780 + 0.904311i
\(183\) −6.76907 0.762691i −0.500384 0.0563798i
\(184\) 7.38240 1.68498i 0.544237 0.124219i
\(185\) 2.52052 8.09471i 0.185313 0.595135i
\(186\) 1.16022 + 0.558734i 0.0850717 + 0.0409684i
\(187\) 0.230635 + 2.04695i 0.0168657 + 0.149688i
\(188\) 12.3077 + 4.30664i 0.897629 + 0.314094i
\(189\) −1.36519 18.5732i −0.0993027 1.35100i
\(190\) −1.85427 12.5286i −0.134523 0.908921i
\(191\) −18.5161 + 8.91686i −1.33978 + 0.645202i −0.960032 0.279890i \(-0.909702\pi\)
−0.379743 + 0.925092i \(0.623988\pi\)
\(192\) 1.54427 + 2.45770i 0.111448 + 0.177369i
\(193\) −3.49303 + 9.98249i −0.251433 + 0.718556i 0.747115 + 0.664695i \(0.231438\pi\)
−0.998548 + 0.0538608i \(0.982847\pi\)
\(194\) −1.86004 2.33242i −0.133543 0.167458i
\(195\) 8.63562 44.9840i 0.618410 3.22137i
\(196\) −2.53876 6.52340i −0.181340 0.465957i
\(197\) −2.89081 2.89081i −0.205962 0.205962i 0.596587 0.802549i \(-0.296523\pi\)
−0.802549 + 0.596587i \(0.796523\pi\)
\(198\) 5.59244 + 0.630117i 0.397437 + 0.0447805i
\(199\) 2.98031 1.43524i 0.211269 0.101742i −0.325257 0.945626i \(-0.605451\pi\)
0.536526 + 0.843884i \(0.319737\pi\)
\(200\) 0.903371 + 4.91772i 0.0638779 + 0.347735i
\(201\) −19.8610 41.2418i −1.40089 2.90897i
\(202\) 1.50742 0.527468i 0.106062 0.0371125i
\(203\) 9.59291 + 2.58511i 0.673290 + 0.181439i
\(204\) 2.50074 + 5.19284i 0.175087 + 0.363572i
\(205\) 10.2235 + 11.9442i 0.714043 + 0.834218i
\(206\) −2.35077 + 4.88142i −0.163786 + 0.340105i
\(207\) 4.59948 40.8216i 0.319686 2.83729i
\(208\) −3.75477 + 5.97568i −0.260346 + 0.414339i
\(209\) 3.66344 + 4.59381i 0.253406 + 0.317761i
\(210\) −10.7614 + 13.3817i −0.742608 + 0.923423i
\(211\) −5.62713 + 7.05619i −0.387387 + 0.485768i −0.936841 0.349756i \(-0.886265\pi\)
0.549453 + 0.835524i \(0.314836\pi\)
\(212\) 0.511289 + 1.46118i 0.0351155 + 0.100354i
\(213\) −17.5034 + 27.8565i −1.19931 + 1.90869i
\(214\) 16.1305i 1.10266i
\(215\) −9.27541 + 6.28774i −0.632578 + 0.428820i
\(216\) 6.86247 1.56631i 0.466932 0.106574i
\(217\) 0.549962 1.03699i 0.0373339 0.0703955i
\(218\) 2.46236 + 3.91883i 0.166772 + 0.265416i
\(219\) −1.32120 0.301555i −0.0892784 0.0203772i
\(220\) −1.50839 1.76225i −0.101695 0.118811i
\(221\) −8.73744 + 10.9564i −0.587743 + 0.737007i
\(222\) 5.85511 + 9.31836i 0.392970 + 0.625407i
\(223\) −0.409681 + 0.257420i −0.0274343 + 0.0172381i −0.545679 0.837994i \(-0.683728\pi\)
0.518245 + 0.855232i \(0.326585\pi\)
\(224\) 2.29318 1.31960i 0.153219 0.0881695i
\(225\) 26.8004 + 4.18566i 1.78669 + 0.279044i
\(226\) −7.41074 −0.492955
\(227\) 5.89946 5.89946i 0.391561 0.391561i −0.483682 0.875244i \(-0.660701\pi\)
0.875244 + 0.483682i \(0.160701\pi\)
\(228\) 13.9204 + 8.74677i 0.921901 + 0.579269i
\(229\) −5.22243 2.51499i −0.345108 0.166195i 0.253298 0.967388i \(-0.418485\pi\)
−0.598406 + 0.801193i \(0.704199\pi\)
\(230\) −12.8634 + 11.0103i −0.848187 + 0.726001i
\(231\) 1.19861 7.87590i 0.0788628 0.518196i
\(232\) −0.420440 + 3.73151i −0.0276033 + 0.244986i
\(233\) −3.71580 2.33479i −0.243430 0.152957i 0.404791 0.914409i \(-0.367344\pi\)
−0.648222 + 0.761452i \(0.724487\pi\)
\(234\) 23.8715 + 29.9339i 1.56053 + 1.95684i
\(235\) −28.8428 + 4.26880i −1.88150 + 0.278466i
\(236\) −3.10834 2.47882i −0.202336 0.161357i
\(237\) −5.30478 + 15.1602i −0.344583 + 0.984761i
\(238\) 4.81826 2.09400i 0.312321 0.135734i
\(239\) 5.92800 12.3096i 0.383451 0.796244i −0.616510 0.787347i \(-0.711454\pi\)
0.999960 0.00889635i \(-0.00283183\pi\)
\(240\) −5.61219 3.26016i −0.362265 0.210442i
\(241\) −17.1102 3.90528i −1.10216 0.251561i −0.367520 0.930016i \(-0.619793\pi\)
−0.734642 + 0.678454i \(0.762650\pi\)
\(242\) −9.36696 3.27764i −0.602131 0.210695i
\(243\) −1.01367 + 8.99659i −0.0650271 + 0.577132i
\(244\) −2.34683 −0.150241
\(245\) 11.8076 + 10.2753i 0.754359 + 0.656462i
\(246\) −20.4085 −1.30120
\(247\) −4.47558 + 39.7219i −0.284774 + 2.52744i
\(248\) 0.418759 + 0.146530i 0.0265912 + 0.00930466i
\(249\) −16.7613 3.82565i −1.06220 0.242440i
\(250\) −6.90075 8.79657i −0.436442 0.556344i
\(251\) −6.52632 + 13.5520i −0.411938 + 0.855397i 0.587012 + 0.809578i \(0.300304\pi\)
−0.998950 + 0.0458193i \(0.985410\pi\)
\(252\) −2.64830 14.1069i −0.166827 0.888652i
\(253\) 2.59443 7.41447i 0.163111 0.466144i
\(254\) 12.2972 + 9.80668i 0.771594 + 0.615326i
\(255\) −10.3491 7.68066i −0.648086 0.480982i
\(256\) 0.623490 + 0.781831i 0.0389681 + 0.0488645i
\(257\) 4.87102 + 3.06066i 0.303846 + 0.190919i 0.675321 0.737524i \(-0.264005\pi\)
−0.371475 + 0.928443i \(0.621148\pi\)
\(258\) 1.62863 14.4545i 0.101394 0.899897i
\(259\) 8.69458 5.00327i 0.540255 0.310888i
\(260\) 1.22122 15.7335i 0.0757369 0.975752i
\(261\) 18.3543 + 8.83897i 1.13610 + 0.547118i
\(262\) −8.62856 5.42169i −0.533074 0.334953i
\(263\) 6.77880 6.77880i 0.417999 0.417999i −0.466515 0.884513i \(-0.654490\pi\)
0.884513 + 0.466515i \(0.154490\pi\)
\(264\) 3.01109 0.185320
\(265\) −2.53122 2.36120i −0.155491 0.145048i
\(266\) 8.45934 12.3696i 0.518675 0.758426i
\(267\) 29.3132 18.4187i 1.79394 1.12720i
\(268\) −8.39032 13.3531i −0.512521 0.815672i
\(269\) 8.61694 10.8053i 0.525384 0.658811i −0.446359 0.894854i \(-0.647279\pi\)
0.971742 + 0.236044i \(0.0758508\pi\)
\(270\) −11.9575 + 10.2349i −0.727707 + 0.622876i
\(271\) −3.79400 0.865955i −0.230469 0.0526030i 0.105727 0.994395i \(-0.466283\pi\)
−0.336195 + 0.941792i \(0.609140\pi\)
\(272\) 1.05644 + 1.68132i 0.0640564 + 0.101945i
\(273\) 43.6533 32.1214i 2.64202 1.94407i
\(274\) −8.14746 + 1.85961i −0.492206 + 0.112343i
\(275\) 4.81817 + 1.92068i 0.290547 + 0.115821i
\(276\) 21.9792i 1.32299i
\(277\) −0.896017 + 1.42600i −0.0538365 + 0.0856802i −0.872558 0.488511i \(-0.837540\pi\)
0.818722 + 0.574191i \(0.194683\pi\)
\(278\) 3.76524 + 10.7604i 0.225824 + 0.645368i
\(279\) 1.50065 1.88175i 0.0898414 0.112658i
\(280\) −3.16802 + 4.99636i −0.189325 + 0.298590i
\(281\) 15.6285 + 19.5975i 0.932319 + 1.16909i 0.985358 + 0.170499i \(0.0545380\pi\)
−0.0530384 + 0.998592i \(0.516891\pi\)
\(282\) 20.1364 32.0469i 1.19911 1.90836i
\(283\) 0.0464916 0.412624i 0.00276364 0.0245280i −0.992255 0.124220i \(-0.960357\pi\)
0.995018 + 0.0996920i \(0.0317857\pi\)
\(284\) −4.91780 + 10.2119i −0.291818 + 0.605966i
\(285\) −36.6514 2.84484i −2.17104 0.168514i
\(286\) 3.17655 + 6.59617i 0.187833 + 0.390040i
\(287\) −0.722133 + 18.5886i −0.0426262 + 1.09725i
\(288\) 5.12062 1.79178i 0.301735 0.105582i
\(289\) −5.66525 11.7640i −0.333250 0.692001i
\(290\) −3.04683 7.82442i −0.178916 0.459466i
\(291\) −7.80171 + 3.75711i −0.457344 + 0.220245i
\(292\) −0.463949 0.0522745i −0.0271506 0.00305914i
\(293\) −15.8272 15.8272i −0.924632 0.924632i 0.0727200 0.997352i \(-0.476832\pi\)
−0.997352 + 0.0727200i \(0.976832\pi\)
\(294\) −20.0998 + 2.97084i −1.17224 + 0.173263i
\(295\) 8.73055 + 1.67601i 0.508312 + 0.0975811i
\(296\) 2.36396 + 2.96432i 0.137403 + 0.172297i
\(297\) 2.41171 6.89228i 0.139942 0.399931i
\(298\) −8.41248 13.3884i −0.487322 0.775568i
\(299\) 48.1482 23.1870i 2.78448 1.34094i
\(300\) 14.4997 + 0.619917i 0.837142 + 0.0357909i
\(301\) −13.1079 1.99485i −0.755526 0.114981i
\(302\) −1.58057 0.553066i −0.0909518 0.0318254i
\(303\) −0.519017 4.60641i −0.0298168 0.264631i
\(304\) 5.10309 + 2.45752i 0.292682 + 0.140948i
\(305\) 4.64607 2.43971i 0.266033 0.139697i
\(306\) 10.5023 2.39709i 0.600378 0.137032i
\(307\) 7.18990 + 0.810108i 0.410349 + 0.0462353i 0.314727 0.949182i \(-0.398087\pi\)
0.0956228 + 0.995418i \(0.469516\pi\)
\(308\) 0.106544 2.74257i 0.00607091 0.156273i
\(309\) 12.2952 + 9.80511i 0.699450 + 0.557793i
\(310\) −0.981353 + 0.145243i −0.0557371 + 0.00824922i
\(311\) 2.71404 0.619463i 0.153899 0.0351265i −0.144877 0.989450i \(-0.546279\pi\)
0.298776 + 0.954323i \(0.403422\pi\)
\(312\) 14.4849 + 14.4849i 0.820049 + 0.820049i
\(313\) −14.2375 14.2375i −0.804751 0.804751i 0.179083 0.983834i \(-0.442687\pi\)
−0.983834 + 0.179083i \(0.942687\pi\)
\(314\) −0.517419 2.26696i −0.0291996 0.127932i
\(315\) 19.9081 + 25.1746i 1.12169 + 1.41843i
\(316\) −1.23132 + 5.39477i −0.0692672 + 0.303479i
\(317\) 2.03376 1.27790i 0.114227 0.0717738i −0.473707 0.880683i \(-0.657084\pi\)
0.587934 + 0.808909i \(0.299941\pi\)
\(318\) 4.46512 0.503098i 0.250391 0.0282123i
\(319\) 3.04561 + 2.42879i 0.170521 + 0.135986i
\(320\) −2.04711 0.899642i −0.114437 0.0502915i
\(321\) −45.6465 10.4185i −2.54774 0.581504i
\(322\) −20.0192 0.777709i −1.11563 0.0433400i
\(323\) 9.52301 + 5.98371i 0.529875 + 0.332942i
\(324\) 4.15605i 0.230892i
\(325\) 13.9385 + 32.4175i 0.773169 + 1.79820i
\(326\) 2.62201 + 11.4878i 0.145220 + 0.636249i
\(327\) 12.6800 4.43692i 0.701205 0.245362i
\(328\) −6.98692 + 0.787237i −0.385788 + 0.0434679i
\(329\) −28.4766 19.4747i −1.56997 1.07367i
\(330\) −5.96110 + 3.13025i −0.328148 + 0.172314i
\(331\) 5.63249 + 24.6775i 0.309590 + 1.35640i 0.855172 + 0.518344i \(0.173451\pi\)
−0.545583 + 0.838057i \(0.683692\pi\)
\(332\) −5.88584 0.663175i −0.323027 0.0363964i
\(333\) 19.4148 6.79354i 1.06393 0.372284i
\(334\) 5.25170 6.58543i 0.287360 0.360339i
\(335\) 30.4920 + 17.7131i 1.66596 + 0.967768i
\(336\) −2.25310 7.34159i −0.122917 0.400517i
\(337\) −9.34946 26.7192i −0.509298 1.45549i −0.855734 0.517416i \(-0.826894\pi\)
0.346437 0.938073i \(-0.387392\pi\)
\(338\) −12.1566 + 34.7416i −0.661232 + 1.88969i
\(339\) −4.78651 + 20.9711i −0.259968 + 1.13899i
\(340\) −3.83932 2.23029i −0.208217 0.120955i
\(341\) 0.359828 0.286953i 0.0194858 0.0155394i
\(342\) 21.7276 21.7276i 1.17490 1.17490i
\(343\) 1.99471 + 18.4125i 0.107704 + 0.994183i
\(344\) 5.01136i 0.270195i
\(345\) 22.8490 + 43.5126i 1.23015 + 2.34264i
\(346\) 0.257904 + 0.535544i 0.0138650 + 0.0287910i
\(347\) −1.10538 + 0.694557i −0.0593400 + 0.0372858i −0.561375 0.827561i \(-0.689728\pi\)
0.502035 + 0.864847i \(0.332585\pi\)
\(348\) 10.2879 + 3.59991i 0.551492 + 0.192975i
\(349\) −24.9194 12.0006i −1.33391 0.642376i −0.375246 0.926925i \(-0.622442\pi\)
−0.958661 + 0.284550i \(0.908156\pi\)
\(350\) 1.07769 13.1848i 0.0576051 0.704756i
\(351\) 44.7572 21.5539i 2.38896 1.15046i
\(352\) 1.03085 0.116149i 0.0549447 0.00619078i
\(353\) −0.354585 1.01335i −0.0188727 0.0539350i 0.934062 0.357112i \(-0.116238\pi\)
−0.952934 + 0.303177i \(0.901953\pi\)
\(354\) −9.02224 + 7.19500i −0.479527 + 0.382410i
\(355\) −0.880188 25.3291i −0.0467155 1.34433i
\(356\) 9.32497 7.43642i 0.494222 0.394129i
\(357\) −2.81358 14.9873i −0.148910 0.793212i
\(358\) 1.95006 + 17.3072i 0.103064 + 0.914716i
\(359\) 6.71528 13.9444i 0.354419 0.735959i −0.645187 0.764025i \(-0.723221\pi\)
0.999606 + 0.0280659i \(0.00893484\pi\)
\(360\) −8.27469 + 8.87049i −0.436115 + 0.467516i
\(361\) 13.0809 0.688469
\(362\) 4.94003 4.94003i 0.259642 0.259642i
\(363\) −15.3251 + 24.3898i −0.804361 + 1.28013i
\(364\) 13.7058 12.6807i 0.718379 0.664651i
\(365\) 0.972832 0.378821i 0.0509204 0.0198284i
\(366\) −1.51579 + 6.64112i −0.0792317 + 0.347137i
\(367\) −3.42540 30.4013i −0.178804 1.58693i −0.687629 0.726063i \(-0.741348\pi\)
0.508824 0.860870i \(-0.330080\pi\)
\(368\) −0.847823 7.52464i −0.0441958 0.392249i
\(369\) −8.48790 + 37.1879i −0.441862 + 1.93593i
\(370\) −7.76161 3.41099i −0.403507 0.177329i
\(371\) −0.300241 4.08474i −0.0155877 0.212069i
\(372\) 0.685124 1.09037i 0.0355221 0.0565330i
\(373\) 8.79315 8.79315i 0.455292 0.455292i −0.441814 0.897106i \(-0.645665\pi\)
0.897106 + 0.441814i \(0.145665\pi\)
\(374\) 2.05990 0.106515
\(375\) −29.3498 + 13.8463i −1.51562 + 0.715019i
\(376\) 5.65758 11.7481i 0.291768 0.605862i
\(377\) 2.96722 + 26.3348i 0.152820 + 1.35631i
\(378\) −18.6093 0.722936i −0.957158 0.0371838i
\(379\) −0.830605 + 0.662386i −0.0426653 + 0.0340245i −0.644590 0.764528i \(-0.722972\pi\)
0.601925 + 0.798553i \(0.294401\pi\)
\(380\) −12.6575 + 0.439847i −0.649314 + 0.0225637i
\(381\) 35.6937 28.4648i 1.82865 1.45830i
\(382\) 6.78766 + 19.3980i 0.347287 + 0.992488i
\(383\) 15.9965 1.80238i 0.817384 0.0920971i 0.306635 0.951827i \(-0.400797\pi\)
0.510749 + 0.859730i \(0.329368\pi\)
\(384\) 2.61515 1.25939i 0.133454 0.0642679i
\(385\) 2.64018 + 5.54028i 0.134556 + 0.282359i
\(386\) 9.52863 + 4.58875i 0.484995 + 0.233561i
\(387\) −25.6613 8.97927i −1.30444 0.456442i
\(388\) −2.52601 + 1.58720i −0.128239 + 0.0805778i
\(389\) 2.88580 + 5.99243i 0.146316 + 0.303828i 0.961227 0.275757i \(-0.0889286\pi\)
−0.814911 + 0.579586i \(0.803214\pi\)
\(390\) −43.7343 13.6179i −2.21457 0.689571i
\(391\) 15.0361i 0.760406i
\(392\) −6.76663 + 1.79241i −0.341766 + 0.0905301i
\(393\) −20.9155 + 20.9155i −1.05505 + 1.05505i
\(394\) −3.19630 + 2.54897i −0.161027 + 0.128415i
\(395\) −3.17059 11.9602i −0.159530 0.601782i
\(396\) 1.25231 5.48673i 0.0629309 0.275718i
\(397\) 1.40370 4.01154i 0.0704497 0.201334i −0.903275 0.429062i \(-0.858844\pi\)
0.973725 + 0.227728i \(0.0731299\pi\)
\(398\) −1.09253 3.12227i −0.0547635 0.156505i
\(399\) −29.5398 31.9278i −1.47884 1.59839i
\(400\) 4.98794 0.347081i 0.249397 0.0173540i
\(401\) −11.3998 + 14.2949i −0.569278 + 0.713852i −0.980243 0.197799i \(-0.936621\pi\)
0.410965 + 0.911651i \(0.365192\pi\)
\(402\) −43.2062 + 15.1185i −2.15493 + 0.754042i
\(403\) 3.11137 + 0.350567i 0.154988 + 0.0174630i
\(404\) −0.355374 1.55700i −0.0176805 0.0774635i
\(405\) 4.32052 + 8.22781i 0.214688 + 0.408843i
\(406\) 3.64292 9.24315i 0.180795 0.458730i
\(407\) 3.90849 0.440381i 0.193736 0.0218289i
\(408\) 5.44019 1.90360i 0.269329 0.0942424i
\(409\) 5.17323 + 22.6654i 0.255800 + 1.12073i 0.925694 + 0.378274i \(0.123482\pi\)
−0.669894 + 0.742457i \(0.733660\pi\)
\(410\) 13.0137 8.82193i 0.642703 0.435684i
\(411\) 24.2570i 1.19651i
\(412\) 4.58753 + 2.88253i 0.226011 + 0.142012i
\(413\) 6.23415 + 8.47228i 0.306762 + 0.416893i
\(414\) −40.0499 9.14113i −1.96835 0.449262i
\(415\) 12.3417 4.80587i 0.605831 0.235911i
\(416\) 5.51771 + 4.40023i 0.270528 + 0.215739i
\(417\) 32.8820 3.70491i 1.61024 0.181430i
\(418\) 4.97510 3.12606i 0.243340 0.152901i
\(419\) −6.67951 + 29.2649i −0.326316 + 1.42968i 0.499780 + 0.866152i \(0.333414\pi\)
−0.826096 + 0.563530i \(0.809443\pi\)
\(420\) 12.0926 + 12.1920i 0.590060 + 0.594909i
\(421\) 1.40781 + 6.16803i 0.0686126 + 0.300611i 0.997578 0.0695549i \(-0.0221579\pi\)
−0.928966 + 0.370166i \(0.879301\pi\)
\(422\) 6.38179 + 6.38179i 0.310661 + 0.310661i
\(423\) −50.0203 50.0203i −2.43207 2.43207i
\(424\) 1.50924 0.344474i 0.0732952 0.0167291i
\(425\) 9.91933 + 0.424088i 0.481158 + 0.0205713i
\(426\) 25.7215 + 20.5122i 1.24621 + 0.993821i
\(427\) 5.99526 + 1.61561i 0.290131 + 0.0781849i
\(428\) −16.0291 1.80604i −0.774795 0.0872985i
\(429\) 20.7177 4.72868i 1.00026 0.228303i
\(430\) 5.20968 + 9.92109i 0.251233 + 0.478437i
\(431\) −8.36867 4.03014i −0.403105 0.194125i 0.221335 0.975198i \(-0.428958\pi\)
−0.624440 + 0.781073i \(0.714673\pi\)
\(432\) −0.788112 6.99469i −0.0379181 0.336532i
\(433\) −36.8601 12.8979i −1.77138 0.619833i −0.771516 0.636210i \(-0.780501\pi\)
−0.999866 + 0.0163769i \(0.994787\pi\)
\(434\) −0.968894 0.662610i −0.0465084 0.0318063i
\(435\) −24.1096 + 3.56828i −1.15597 + 0.171086i
\(436\) 4.16988 2.00811i 0.199701 0.0961710i
\(437\) −22.8184 36.3153i −1.09155 1.73720i
\(438\) −0.447587 + 1.27913i −0.0213865 + 0.0611192i
\(439\) 3.90212 + 4.89311i 0.186238 + 0.233535i 0.866182 0.499729i \(-0.166567\pi\)
−0.679943 + 0.733265i \(0.737996\pi\)
\(440\) −1.92006 + 1.30159i −0.0915351 + 0.0620510i
\(441\) −2.94610 + 37.8609i −0.140291 + 1.80290i
\(442\) 9.90922 + 9.90922i 0.471334 + 0.471334i
\(443\) −17.0806 1.92452i −0.811523 0.0914367i −0.303557 0.952813i \(-0.598174\pi\)
−0.507967 + 0.861377i \(0.669603\pi\)
\(444\) 9.91533 4.77497i 0.470561 0.226610i
\(445\) −10.7301 + 24.4160i −0.508656 + 1.15743i
\(446\) 0.209931 + 0.435927i 0.00994054 + 0.0206417i
\(447\) −43.3202 + 15.1584i −2.04898 + 0.716968i
\(448\) −1.05455 2.42650i −0.0498228 0.114642i
\(449\) −5.95371 12.3630i −0.280973 0.583446i 0.711947 0.702233i \(-0.247814\pi\)
−0.992920 + 0.118787i \(0.962099\pi\)
\(450\) 7.16003 26.1632i 0.337527 1.23335i
\(451\) −3.16472 + 6.57161i −0.149021 + 0.309445i
\(452\) −0.829740 + 7.36415i −0.0390277 + 0.346380i
\(453\) −2.58595 + 4.11552i −0.121499 + 0.193364i
\(454\) −5.20184 6.52290i −0.244134 0.306135i
\(455\) −13.9511 + 39.3525i −0.654036 + 1.84487i
\(456\) 10.2504 12.8535i 0.480017 0.601922i
\(457\) 9.65365 + 27.5885i 0.451579 + 1.29054i 0.914661 + 0.404222i \(0.132458\pi\)
−0.463082 + 0.886315i \(0.653256\pi\)
\(458\) −3.08390 + 4.90800i −0.144101 + 0.229336i
\(459\) 13.9771i 0.652395i
\(460\) 9.50087 + 14.0153i 0.442980 + 0.653466i
\(461\) −7.50827 + 1.71371i −0.349695 + 0.0798156i −0.393761 0.919213i \(-0.628826\pi\)
0.0440655 + 0.999029i \(0.485969\pi\)
\(462\) −7.69217 2.07290i −0.357872 0.0964398i
\(463\) 13.1197 + 20.8799i 0.609726 + 0.970373i 0.998791 + 0.0491630i \(0.0156554\pi\)
−0.389065 + 0.921210i \(0.627202\pi\)
\(464\) 3.66097 + 0.835593i 0.169956 + 0.0387915i
\(465\) −0.222834 + 2.87086i −0.0103337 + 0.133133i
\(466\) −2.73615 + 3.43103i −0.126750 + 0.158939i
\(467\) −16.3166 25.9678i −0.755044 1.20165i −0.974141 0.225943i \(-0.927454\pi\)
0.219096 0.975703i \(-0.429689\pi\)
\(468\) 32.4184 20.3698i 1.49854 0.941596i
\(469\) 12.2415 + 39.8882i 0.565260 + 1.84187i
\(470\) 1.01259 + 29.1394i 0.0467075 + 1.34410i
\(471\) −6.74928 −0.310991
\(472\) −2.81125 + 2.81125i −0.129398 + 0.129398i
\(473\) −4.40184 2.76586i −0.202397 0.127174i
\(474\) 14.4709 + 6.96883i 0.664672 + 0.320089i
\(475\) 24.6009 14.0291i 1.12877 0.643701i
\(476\) −1.54136 5.02242i −0.0706479 0.230202i
\(477\) 0.940308 8.34546i 0.0430537 0.382112i
\(478\) −11.5685 7.26897i −0.529131 0.332475i
\(479\) −16.0129 20.0796i −0.731650 0.917460i 0.267284 0.963618i \(-0.413874\pi\)
−0.998934 + 0.0461576i \(0.985302\pi\)
\(480\) −3.86803 + 5.21187i −0.176550 + 0.237888i
\(481\) 20.9204 + 16.6835i 0.953888 + 0.760700i
\(482\) −5.79646 + 16.5653i −0.264021 + 0.754530i
\(483\) −15.1309 + 56.1484i −0.688481 + 2.55484i
\(484\) −4.30580 + 8.94108i −0.195718 + 0.406413i
\(485\) 3.35078 5.76819i 0.152151 0.261920i
\(486\) 8.82653 + 2.01460i 0.400379 + 0.0913840i
\(487\) 33.4989 + 11.7218i 1.51798 + 0.531164i 0.955332 0.295533i \(-0.0954973\pi\)
0.562647 + 0.826697i \(0.309783\pi\)
\(488\) −0.262762 + 2.33208i −0.0118947 + 0.105568i
\(489\) 34.2019 1.54666
\(490\) 11.5327 10.5829i 0.520994 0.478085i
\(491\) −20.7197 −0.935069 −0.467534 0.883975i \(-0.654858\pi\)
−0.467534 + 0.883975i \(0.654858\pi\)
\(492\) −2.28503 + 20.2802i −0.103017 + 0.914302i
\(493\) 7.03804 + 2.46272i 0.316977 + 0.110915i
\(494\) 38.9710 + 8.89487i 1.75339 + 0.400199i
\(495\) 3.22464 + 12.1640i 0.144937 + 0.546733i
\(496\) 0.192495 0.399719i 0.00864327 0.0179479i
\(497\) 19.5932 22.7020i 0.878875 1.01833i
\(498\) −5.67826 + 16.2275i −0.254449 + 0.727173i
\(499\) −32.2017 25.6800i −1.44155 1.14959i −0.962325 0.271901i \(-0.912348\pi\)
−0.479221 0.877694i \(-0.659081\pi\)
\(500\) −9.51390 + 5.87246i −0.425474 + 0.262624i
\(501\) −15.2436 19.1148i −0.681032 0.853988i
\(502\) 12.7361 + 8.00263i 0.568441 + 0.357175i
\(503\) −2.54816 + 22.6156i −0.113617 + 1.00838i 0.799496 + 0.600671i \(0.205100\pi\)
−0.913113 + 0.407707i \(0.866329\pi\)
\(504\) −14.3147 + 1.05218i −0.637629 + 0.0468676i
\(505\) 2.32215 + 2.71298i 0.103335 + 0.120726i
\(506\) −7.07736 3.40828i −0.314627 0.151516i
\(507\) 90.4607 + 56.8402i 4.01750 + 2.52436i
\(508\) 11.1219 11.1219i 0.493453 0.493453i
\(509\) −37.3435 −1.65522 −0.827611 0.561303i \(-0.810300\pi\)
−0.827611 + 0.561303i \(0.810300\pi\)
\(510\) −8.79110 + 9.42408i −0.389276 + 0.417305i
\(511\) 1.14923 + 0.452934i 0.0508388 + 0.0200366i
\(512\) 0.846724 0.532032i 0.0374203 0.0235127i
\(513\) −21.2114 33.7577i −0.936505 1.49044i
\(514\) 3.58680 4.49771i 0.158207 0.198385i
\(515\) −12.0786 0.937531i −0.532248 0.0413125i
\(516\) −14.1813 3.23678i −0.624295 0.142491i
\(517\) −7.19668 11.4535i −0.316510 0.503722i
\(518\) −3.99832 9.20010i −0.175676 0.404229i
\(519\) 1.68207 0.383922i 0.0738347 0.0168523i
\(520\) −15.4979 2.97514i −0.679627 0.130468i
\(521\) 28.0281i 1.22793i −0.789333 0.613966i \(-0.789573\pi\)
0.789333 0.613966i \(-0.210427\pi\)
\(522\) 10.8384 17.2492i 0.474385 0.754979i
\(523\) −6.47403 18.5017i −0.283090 0.809024i −0.994355 0.106101i \(-0.966163\pi\)
0.711266 0.702923i \(-0.248122\pi\)
\(524\) −6.35369 + 7.96727i −0.277562 + 0.348052i
\(525\) −36.6145 11.5656i −1.59799 0.504763i
\(526\) −5.97719 7.49516i −0.260618 0.326805i
\(527\) 0.468697 0.745927i 0.0204168 0.0324931i
\(528\) 0.337135 2.99215i 0.0146719 0.130217i
\(529\) −14.8991 + 30.9383i −0.647787 + 1.34514i
\(530\) −2.62976 + 2.25093i −0.114230 + 0.0977741i
\(531\) 9.35820 + 19.4325i 0.406111 + 0.843299i
\(532\) −11.3446 9.79110i −0.491852 0.424498i
\(533\) −46.8370 + 16.3890i −2.02874 + 0.709886i
\(534\) −15.0208 31.1911i −0.650015 1.34977i
\(535\) 33.6106 13.0880i 1.45311 0.565842i
\(536\) −14.2086 + 6.84249i −0.613717 + 0.295551i
\(537\) 50.2359 + 5.66023i 2.16784 + 0.244257i
\(538\) −9.77257 9.77257i −0.421325 0.421325i
\(539\) −2.16023 + 6.93288i −0.0930475 + 0.298620i
\(540\) 8.83174 + 13.0282i 0.380058 + 0.560645i
\(541\) −16.5272 20.7245i −0.710562 0.891016i 0.287201 0.957870i \(-0.407275\pi\)
−0.997763 + 0.0668543i \(0.978704\pi\)
\(542\) −1.28530 + 3.67318i −0.0552085 + 0.157777i
\(543\) −10.7887 17.1701i −0.462987 0.736840i
\(544\) 1.78903 0.861554i 0.0767042 0.0369388i
\(545\) −6.16761 + 8.31039i −0.264192 + 0.355978i
\(546\) −27.0318 46.9753i −1.15685 2.01036i
\(547\) −25.9174 9.06890i −1.10815 0.387758i −0.286689 0.958024i \(-0.592554\pi\)
−0.821460 + 0.570266i \(0.806840\pi\)
\(548\) 0.935686 + 8.30444i 0.0399705 + 0.354748i
\(549\) 11.4709 + 5.52408i 0.489564 + 0.235762i
\(550\) 2.44807 4.57283i 0.104386 0.194986i
\(551\) 20.7358 4.73280i 0.883373 0.201624i
\(552\) −21.8410 2.46089i −0.929613 0.104742i
\(553\) 6.85943 12.9339i 0.291693 0.550006i
\(554\) 1.31671 + 1.05004i 0.0559418 + 0.0446121i
\(555\) −14.6656 + 19.7608i −0.622521 + 0.838801i
\(556\) 11.1144 2.53678i 0.471353 0.107583i
\(557\) −9.78790 9.78790i −0.414727 0.414727i 0.468655 0.883381i \(-0.344739\pi\)
−0.883381 + 0.468655i \(0.844739\pi\)
\(558\) −1.70190 1.70190i −0.0720472 0.0720472i
\(559\) −7.86996 34.4805i −0.332864 1.45837i
\(560\) 4.61024 + 3.70751i 0.194818 + 0.156671i
\(561\) 1.33046 5.82914i 0.0561722 0.246107i
\(562\) 21.2242 13.3360i 0.895287 0.562546i
\(563\) 22.3414 2.51727i 0.941577 0.106090i 0.372187 0.928158i \(-0.378608\pi\)
0.569390 + 0.822068i \(0.307180\pi\)
\(564\) −29.5908 23.5979i −1.24600 0.993651i
\(565\) −6.01293 15.4415i −0.252966 0.649629i
\(566\) −0.404824 0.0923985i −0.0170160 0.00388380i
\(567\) −2.86111 + 10.6171i −0.120155 + 0.445877i
\(568\) 9.59709 + 6.03025i 0.402685 + 0.253024i
\(569\) 18.3444i 0.769036i −0.923118 0.384518i \(-0.874368\pi\)
0.923118 0.384518i \(-0.125632\pi\)
\(570\) −6.93061 + 36.1024i −0.290291 + 1.51216i
\(571\) 9.77547 + 42.8291i 0.409091 + 1.79234i 0.588422 + 0.808554i \(0.299749\pi\)
−0.179331 + 0.983789i \(0.557393\pi\)
\(572\) 6.91036 2.41804i 0.288937 0.101103i
\(573\) 59.2769 6.67891i 2.47633 0.279015i
\(574\) 18.3909 + 2.79886i 0.767620 + 0.116822i
\(575\) −33.3790 17.8695i −1.39200 0.745208i
\(576\) −1.20719 5.28904i −0.0502995 0.220377i
\(577\) 34.3756 + 3.87320i 1.43108 + 0.161244i 0.793231 0.608921i \(-0.208397\pi\)
0.637845 + 0.770165i \(0.279826\pi\)
\(578\) −12.3244 + 4.31248i −0.512626 + 0.179376i
\(579\) 19.1398 24.0005i 0.795421 0.997427i
\(580\) −8.11636 + 2.15162i −0.337014 + 0.0893410i
\(581\) 14.5795 + 5.74609i 0.604861 + 0.238388i
\(582\) 2.85997 + 8.17332i 0.118549 + 0.338795i
\(583\) 0.530400 1.51580i 0.0219669 0.0627779i
\(584\) −0.103892 + 0.455179i −0.00429907 + 0.0188354i
\(585\) −43.0034 + 74.0279i −1.77797 + 3.06068i
\(586\) −17.4997 + 13.9556i −0.722907 + 0.576499i
\(587\) −9.39941 + 9.39941i −0.387955 + 0.387955i −0.873958 0.486002i \(-0.838455\pi\)
0.486002 + 0.873958i \(0.338455\pi\)
\(588\) 0.701699 + 20.3060i 0.0289376 + 0.837407i
\(589\) 2.51286i 0.103541i
\(590\) 2.64298 8.48800i 0.108810 0.349445i
\(591\) 5.14866 + 10.6913i 0.211788 + 0.439782i
\(592\) 3.21036 2.01720i 0.131945 0.0829064i
\(593\) 26.5500 + 9.29024i 1.09028 + 0.381504i 0.814764 0.579793i \(-0.196867\pi\)
0.275513 + 0.961297i \(0.411152\pi\)
\(594\) −6.57892 3.16824i −0.269936 0.129994i
\(595\) 8.27263 + 8.34062i 0.339145 + 0.341932i
\(596\) −14.2461 + 6.86056i −0.583543 + 0.281019i
\(597\) −9.54111 + 1.07502i −0.390491 + 0.0439978i
\(598\) −17.6503 50.4416i −0.721773 2.06271i
\(599\) −8.04996 + 6.41963i −0.328912 + 0.262299i −0.773996 0.633190i \(-0.781745\pi\)
0.445084 + 0.895489i \(0.353174\pi\)
\(600\) 2.23947 14.3391i 0.0914261 0.585393i
\(601\) −5.62153 + 4.48302i −0.229307 + 0.182866i −0.731403 0.681946i \(-0.761134\pi\)
0.502096 + 0.864812i \(0.332563\pi\)
\(602\) −3.44993 + 12.8021i −0.140609 + 0.521776i
\(603\) 9.57911 + 85.0170i 0.390092 + 3.46216i
\(604\) −0.726557 + 1.50871i −0.0295632 + 0.0613886i
\(605\) −0.770651 22.1770i −0.0313314 0.901624i
\(606\) −4.63555 −0.188306
\(607\) 11.2441 11.2441i 0.456385 0.456385i −0.441082 0.897467i \(-0.645405\pi\)
0.897467 + 0.441082i \(0.145405\pi\)
\(608\) 3.01343 4.79585i 0.122211 0.194497i
\(609\) −23.8035 16.2788i −0.964568 0.659652i
\(610\) −1.90417 4.89002i −0.0770977 0.197991i
\(611\) 20.4774 89.7172i 0.828426 3.62957i
\(612\) −1.20613 10.7047i −0.0487548 0.432711i
\(613\) −1.86020 16.5097i −0.0751327 0.666821i −0.973676 0.227936i \(-0.926802\pi\)
0.898543 0.438885i \(-0.144626\pi\)
\(614\) 1.61003 7.05399i 0.0649754 0.284676i
\(615\) −16.5591 42.5245i −0.667726 1.71476i
\(616\) −2.71340 0.412945i −0.109326 0.0166380i
\(617\) −7.70666 + 12.2651i −0.310259 + 0.493774i −0.965061 0.262027i \(-0.915609\pi\)
0.654802 + 0.755800i \(0.272752\pi\)
\(618\) 11.1201 11.1201i 0.447315 0.447315i
\(619\) −46.9773 −1.88818 −0.944088 0.329693i \(-0.893055\pi\)
−0.944088 + 0.329693i \(0.893055\pi\)
\(620\) 0.0344527 + 0.991444i 0.00138365 + 0.0398174i
\(621\) −23.1263 + 48.0222i −0.928026 + 1.92707i
\(622\) −0.311691 2.76634i −0.0124977 0.110920i
\(623\) −28.9411 + 12.5777i −1.15950 + 0.503915i
\(624\) 16.0157 12.7721i 0.641140 0.511292i
\(625\) 12.7300 21.5162i 0.509199 0.860649i
\(626\) −15.7421 + 12.5539i −0.629180 + 0.501754i
\(627\) −5.63284 16.0977i −0.224954 0.642882i
\(628\) −2.31064 + 0.260346i −0.0922045 + 0.0103890i
\(629\) 6.78313 3.26658i 0.270461 0.130247i
\(630\) 27.2453 16.9642i 1.08548 0.675871i
\(631\) 37.6224 + 18.1180i 1.49773 + 0.721267i 0.990107 0.140315i \(-0.0448115\pi\)
0.507619 + 0.861582i \(0.330526\pi\)
\(632\) 5.22298 + 1.82760i 0.207759 + 0.0726981i
\(633\) 22.1812 13.9374i 0.881625 0.553962i
\(634\) −1.04215 2.16405i −0.0413891 0.0859454i
\(635\) −10.4562 + 33.5802i −0.414940 + 1.33259i
\(636\) 4.49337i 0.178174i
\(637\) −43.7428 + 22.9591i −1.73315 + 0.909671i
\(638\) 2.75452 2.75452i 0.109052 0.109052i
\(639\) 48.0745 38.3381i 1.90180 1.51663i
\(640\) −1.12319 + 1.93351i −0.0443979 + 0.0764286i
\(641\) 3.73626 16.3696i 0.147574 0.646562i −0.845982 0.533212i \(-0.820985\pi\)
0.993555 0.113350i \(-0.0361581\pi\)
\(642\) −15.4638 + 44.1929i −0.610307 + 1.74416i
\(643\) 7.01398 + 20.0448i 0.276604 + 0.790490i 0.995447 + 0.0953172i \(0.0303865\pi\)
−0.718842 + 0.695173i \(0.755328\pi\)
\(644\) −3.01426 + 19.8062i −0.118778 + 0.780475i
\(645\) 31.4398 8.33456i 1.23794 0.328173i
\(646\) 7.01232 8.79317i 0.275896 0.345963i
\(647\) −8.00497 + 2.80106i −0.314708 + 0.110121i −0.483011 0.875614i \(-0.660457\pi\)
0.168303 + 0.985735i \(0.446171\pi\)
\(648\) −4.12992 0.465330i −0.162238 0.0182799i
\(649\) 0.917746 + 4.02091i 0.0360247 + 0.157834i
\(650\) 33.7743 10.2213i 1.32474 0.400910i
\(651\) −2.50087 + 2.31382i −0.0980166 + 0.0906859i
\(652\) 11.7091 1.31930i 0.458565 0.0516678i
\(653\) 25.8469 9.04423i 1.01147 0.353928i 0.226865 0.973926i \(-0.427152\pi\)
0.784603 + 0.619998i \(0.212867\pi\)
\(654\) −2.98931 13.0970i −0.116891 0.512134i
\(655\) 4.29594 22.3781i 0.167856 0.874384i
\(656\) 7.03113i 0.274520i
\(657\) 2.14465 + 1.34757i 0.0836707 + 0.0525738i
\(658\) −22.5406 + 26.1171i −0.878724 + 1.01815i
\(659\) −3.53742 0.807393i −0.137798 0.0314516i 0.153065 0.988216i \(-0.451085\pi\)
−0.290864 + 0.956764i \(0.593943\pi\)
\(660\) 2.44313 + 6.27410i 0.0950988 + 0.244219i
\(661\) −10.2107 8.14277i −0.397151 0.316717i 0.404469 0.914552i \(-0.367456\pi\)
−0.801619 + 0.597835i \(0.796028\pi\)
\(662\) 25.1530 2.83406i 0.977600 0.110149i
\(663\) 34.4416 21.6411i 1.33760 0.840470i
\(664\) −1.31801 + 5.77458i −0.0511487 + 0.224097i
\(665\) 32.6378 + 7.59002i 1.26564 + 0.294328i
\(666\) −4.57706 20.0534i −0.177357 0.777053i
\(667\) −20.1064 20.1064i −0.778522 0.778522i
\(668\) −5.95602 5.95602i −0.230445 0.230445i
\(669\) 1.36919 0.312508i 0.0529358 0.0120823i
\(670\) 21.0157 28.3171i 0.811908 1.09398i
\(671\) 1.90341 + 1.51792i 0.0734803 + 0.0585986i
\(672\) −7.54769 + 1.41693i −0.291159 + 0.0546594i
\(673\) −21.2022 2.38892i −0.817286 0.0920860i −0.306584 0.951844i \(-0.599186\pi\)
−0.510702 + 0.859758i \(0.670614\pi\)
\(674\) −27.5980 + 6.29907i −1.06304 + 0.242631i
\(675\) −31.0282 16.6109i −1.19427 0.639356i
\(676\) 33.1620 + 15.9700i 1.27546 + 0.614231i
\(677\) 4.99534 + 44.3348i 0.191986 + 1.70393i 0.607484 + 0.794332i \(0.292179\pi\)
−0.415498 + 0.909594i \(0.636393\pi\)
\(678\) 20.3033 + 7.10443i 0.779743 + 0.272844i
\(679\) 7.54566 2.31573i 0.289576 0.0888695i
\(680\) −2.64614 + 3.56547i −0.101475 + 0.136729i
\(681\) −21.8184 + 10.5072i −0.836084 + 0.402637i
\(682\) −0.244861 0.389694i −0.00937622 0.0149222i
\(683\) −5.35680 + 15.3088i −0.204972 + 0.585777i −0.999778 0.0210875i \(-0.993287\pi\)
0.794805 + 0.606864i \(0.207573\pi\)
\(684\) −19.1583 24.0237i −0.732536 0.918571i
\(685\) −10.4855 15.4677i −0.400630 0.590992i
\(686\) 18.5201 + 0.0793812i 0.707100 + 0.00303079i
\(687\) 11.8969 + 11.8969i 0.453895 + 0.453895i
\(688\) −4.97985 0.561095i −0.189855 0.0213915i
\(689\) 9.84331 4.74029i 0.375000 0.180591i
\(690\) 45.7972 17.8334i 1.74347 0.678908i
\(691\) −5.70944 11.8558i −0.217197 0.451015i 0.763692 0.645581i \(-0.223385\pi\)
−0.980890 + 0.194566i \(0.937670\pi\)
\(692\) 0.561053 0.196321i 0.0213280 0.00746300i
\(693\) −6.97635 + 13.1544i −0.265010 + 0.499693i
\(694\) 0.566426 + 1.17620i 0.0215012 + 0.0446478i
\(695\) −19.3661 + 16.5763i −0.734599 + 0.628775i
\(696\) 4.72916 9.82020i 0.179258 0.372234i
\(697\) −1.56320 + 13.8738i −0.0592104 + 0.525507i
\(698\) −14.7152 + 23.4191i −0.556979 + 0.886426i
\(699\) 7.94194 + 9.95887i 0.300392 + 0.376679i
\(700\) −12.9812 2.54714i −0.490644 0.0962730i
\(701\) 22.0327 27.6281i 0.832164 1.04350i −0.166187 0.986094i \(-0.553146\pi\)
0.998351 0.0574062i \(-0.0182830\pi\)
\(702\) −16.4072 46.8891i −0.619250 1.76971i
\(703\) 11.4254 18.1835i 0.430918 0.685802i
\(704\) 1.03738i 0.0390976i
\(705\) 83.1133 + 15.9553i 3.13023 + 0.600912i
\(706\) −1.04668 + 0.238897i −0.0393922 + 0.00899101i
\(707\) −0.164024 + 4.22218i −0.00616876 + 0.158791i
\(708\) 6.13959 + 9.77110i 0.230740 + 0.367220i
\(709\) 33.7238 + 7.69723i 1.26652 + 0.289076i 0.802449 0.596721i \(-0.203530\pi\)
0.464074 + 0.885796i \(0.346387\pi\)
\(710\) −25.2684 1.96131i −0.948307 0.0736067i
\(711\) 18.7169 23.4702i 0.701938 0.880203i
\(712\) −6.34559 10.0990i −0.237811 0.378474i
\(713\) −2.84454 + 1.78734i −0.106529 + 0.0669365i
\(714\) −15.2081 + 1.11784i −0.569148 + 0.0418341i
\(715\) −11.1668 + 11.9709i −0.417616 + 0.447685i
\(716\) 17.4168 0.650895
\(717\) −28.0418 + 28.0418i −1.04724 + 1.04724i
\(718\) −13.1049 8.23434i −0.489070 0.307303i
\(719\) 12.7815 + 6.15523i 0.476668 + 0.229551i 0.656762 0.754098i \(-0.271926\pi\)
−0.180093 + 0.983650i \(0.557640\pi\)
\(720\) 7.88824 + 9.21584i 0.293977 + 0.343454i
\(721\) −9.73498 10.5219i −0.362550 0.391857i
\(722\) 1.46460 12.9987i 0.0545067 0.483760i
\(723\) 43.1330 + 27.1023i 1.60413 + 1.00794i
\(724\) −4.35586 5.46208i −0.161884 0.202997i
\(725\) 13.8313 12.6972i 0.513683 0.471560i
\(726\) 22.5206 + 17.9596i 0.835817 + 0.666542i
\(727\) 11.7208 33.4960i 0.434699 1.24230i −0.493347 0.869833i \(-0.664227\pi\)
0.928046 0.372466i \(-0.121488\pi\)
\(728\) −11.0664 15.0394i −0.410149 0.557397i
\(729\) 16.8116 34.9097i 0.622653 1.29295i
\(730\) −0.267516 1.00913i −0.00990122 0.0373496i
\(731\) −9.70147 2.21430i −0.358822 0.0818987i
\(732\) 6.42964 + 2.24983i 0.237646 + 0.0831561i
\(733\) −0.590962 + 5.24493i −0.0218277 + 0.193726i −0.999894 0.0145683i \(-0.995363\pi\)
0.978066 + 0.208294i \(0.0667912\pi\)
\(734\) −30.5936 −1.12923
\(735\) −22.4988 39.4708i −0.829881 1.45590i
\(736\) −7.57225 −0.279117
\(737\) −1.83172 + 16.2569i −0.0674721 + 0.598831i
\(738\) 36.0037 + 12.5983i 1.32532 + 0.463748i
\(739\) 28.9802 + 6.61455i 1.06606 + 0.243320i 0.719346 0.694652i \(-0.244442\pi\)
0.346710 + 0.937973i \(0.387299\pi\)
\(740\) −4.25857 + 7.33089i −0.156548 + 0.269489i
\(741\) 50.3418 104.536i 1.84935 3.84022i
\(742\) −4.09268 0.158993i −0.150247 0.00583681i
\(743\) 3.17106 9.06236i 0.116335 0.332466i −0.870963 0.491349i \(-0.836504\pi\)
0.987297 + 0.158884i \(0.0507895\pi\)
\(744\) −1.00680 0.802899i −0.0369112 0.0294357i
\(745\) 21.0712 28.3918i 0.771989 1.04020i
\(746\) −7.75334 9.72238i −0.283870 0.355962i
\(747\) 27.2078 + 17.0958i 0.995482 + 0.625503i
\(748\) 0.230635 2.04695i 0.00843287 0.0748438i
\(749\) 39.7049 + 15.6485i 1.45078 + 0.571785i
\(750\) 10.4731 + 30.7156i 0.382423 + 1.12157i
\(751\) 25.5425 + 12.3006i 0.932057 + 0.448855i 0.837361 0.546651i \(-0.184098\pi\)
0.0946968 + 0.995506i \(0.469812\pi\)
\(752\) −11.0408 6.93738i −0.402616 0.252980i
\(753\) 30.8721 30.8721i 1.12504 1.12504i
\(754\) 26.5015 0.965126
\(755\) −0.130039 3.74213i −0.00473261 0.136190i
\(756\) −2.80197 + 18.4113i −0.101907 + 0.669613i
\(757\) 34.0267 21.3804i 1.23672 0.777084i 0.254915 0.966963i \(-0.417953\pi\)
0.981807 + 0.189879i \(0.0608097\pi\)
\(758\) 0.565222 + 0.899546i 0.0205298 + 0.0326730i
\(759\) −14.2160 + 17.8263i −0.516008 + 0.647054i
\(760\) −0.980104 + 12.6271i −0.0355521 + 0.458033i
\(761\) 3.74468 + 0.854699i 0.135745 + 0.0309828i 0.289853 0.957071i \(-0.406393\pi\)
−0.154109 + 0.988054i \(0.549251\pi\)
\(762\) −24.2894 38.6563i −0.879912 1.40037i
\(763\) −12.0349 + 2.25932i −0.435692 + 0.0817928i
\(764\) 20.0360 4.57309i 0.724878 0.165449i
\(765\) 13.5161 + 19.9384i 0.488676 + 0.720874i
\(766\) 16.0977i 0.581635i
\(767\) −14.9279 + 23.7576i −0.539015 + 0.857837i
\(768\) −0.958666 2.73971i −0.0345929 0.0988608i
\(769\) 11.4918 14.4102i 0.414404 0.519646i −0.530194 0.847877i \(-0.677881\pi\)
0.944598 + 0.328230i \(0.106452\pi\)
\(770\) 5.80105 2.00327i 0.209055 0.0721927i
\(771\) −10.4110 13.0550i −0.374944 0.470165i
\(772\) 5.62676 8.95494i 0.202512 0.322295i
\(773\) −2.89941 + 25.7330i −0.104285 + 0.925552i 0.827234 + 0.561858i \(0.189913\pi\)
−0.931519 + 0.363694i \(0.881515\pi\)
\(774\) −11.7960 + 24.4946i −0.423997 + 0.880439i
\(775\) −1.09889 1.92696i −0.0394732 0.0692186i
\(776\) 1.29440 + 2.68784i 0.0464661 + 0.0964878i
\(777\) −28.6171 + 5.37231i −1.02663 + 0.192730i
\(778\) 6.27786 2.19672i 0.225072 0.0787562i
\(779\) 17.2791 + 35.8805i 0.619089 + 1.28555i
\(780\) −18.4290 + 41.9346i −0.659864 + 1.50150i
\(781\) 10.5936 5.10161i 0.379069 0.182550i
\(782\) −14.9415 1.68350i −0.534307 0.0602020i
\(783\) −18.6903 18.6903i −0.667938 0.667938i
\(784\) 1.02351 + 6.92477i 0.0365540 + 0.247313i
\(785\) 4.30376 2.91749i 0.153608 0.104130i
\(786\) 18.4422 + 23.1258i 0.657811 + 0.824868i
\(787\) 4.00521 11.4462i 0.142770 0.408014i −0.850188 0.526480i \(-0.823512\pi\)
0.992958 + 0.118465i \(0.0377974\pi\)
\(788\) 2.17507 + 3.46160i 0.0774835 + 0.123314i
\(789\) −25.0706 + 12.0733i −0.892536 + 0.429823i
\(790\) −12.2400 + 1.81154i −0.435478 + 0.0644519i
\(791\) 7.18930 18.2414i 0.255622 0.648589i
\(792\) −5.31201 1.85875i −0.188754 0.0660479i
\(793\) 1.85442 + 16.4584i 0.0658524 + 0.584456i
\(794\) −3.82916 1.84402i −0.135892 0.0654420i
\(795\) 4.67119 + 8.89561i 0.165670 + 0.315495i
\(796\) −3.22496 + 0.736076i −0.114306 + 0.0260895i
\(797\) 6.03561 + 0.680050i 0.213792 + 0.0240886i 0.218211 0.975902i \(-0.429978\pi\)
−0.00441859 + 0.999990i \(0.501406\pi\)
\(798\) −35.0344 + 25.7793i −1.24020 + 0.912578i
\(799\) −20.2432 16.1434i −0.716154 0.571114i
\(800\) 0.213573 4.99544i 0.00755096 0.176615i
\(801\) −63.0828 + 14.3982i −2.22892 + 0.508737i
\(802\) 12.9286 + 12.9286i 0.456525 + 0.456525i
\(803\) 0.342477 + 0.342477i 0.0120858 + 0.0120858i
\(804\) 10.1859 + 44.6272i 0.359228 + 1.57388i
\(805\) −14.6227 42.3443i −0.515382 1.49244i
\(806\) 0.696726 3.05255i 0.0245411 0.107522i
\(807\) −33.9666 + 21.3426i −1.19568 + 0.751296i
\(808\) −1.58700 + 0.178811i −0.0558303 + 0.00629057i
\(809\) 17.1143 + 13.6482i 0.601708 + 0.479846i 0.876333 0.481705i \(-0.159982\pi\)
−0.274625 + 0.961551i \(0.588554\pi\)
\(810\) 8.65982 3.37213i 0.304275 0.118485i
\(811\) 30.3911 + 6.93656i 1.06717 + 0.243576i 0.719822 0.694159i \(-0.244224\pi\)
0.347353 + 0.937735i \(0.387081\pi\)
\(812\) −8.77715 4.65492i −0.308018 0.163356i
\(813\) 9.56429 + 6.00964i 0.335434 + 0.210767i
\(814\) 3.93322i 0.137859i
\(815\) −21.8093 + 14.7843i −0.763945 + 0.517873i
\(816\) −1.28253 5.61911i −0.0448974 0.196708i
\(817\) −26.7915 + 9.37476i −0.937317 + 0.327981i
\(818\) 23.1021 2.60298i 0.807745 0.0910111i
\(819\) −96.8397 + 29.7196i −3.38385 + 1.03849i
\(820\) −7.30939 13.9197i −0.255255 0.486096i
\(821\) −4.63625 20.3127i −0.161806 0.708919i −0.989112 0.147167i \(-0.952985\pi\)
0.827305 0.561752i \(-0.189873\pi\)
\(822\) 24.1044 + 2.71592i 0.840739 + 0.0947285i
\(823\) 23.0018 8.04867i 0.801792 0.280559i 0.101888 0.994796i \(-0.467512\pi\)
0.699904 + 0.714237i \(0.253226\pi\)
\(824\) 3.37805 4.23594i 0.117680 0.147566i
\(825\) −11.3591 9.88112i −0.395473 0.344017i
\(826\) 9.11701 5.24635i 0.317221 0.182544i
\(827\) 6.35565 + 18.1634i 0.221008 + 0.631603i 0.999990 + 0.00455710i \(0.00145057\pi\)
−0.778982 + 0.627046i \(0.784264\pi\)
\(828\) −13.5678 + 38.7746i −0.471514 + 1.34751i
\(829\) −3.90853 + 17.1244i −0.135749 + 0.594755i 0.860593 + 0.509294i \(0.170093\pi\)
−0.996342 + 0.0854609i \(0.972764\pi\)
\(830\) −3.39381 12.8022i −0.117801 0.444371i
\(831\) 3.82189 3.04785i 0.132580 0.105729i
\(832\) 4.99035 4.99035i 0.173009 0.173009i
\(833\) 0.480036 + 13.8915i 0.0166323 + 0.481311i
\(834\) 33.0901i 1.14582i
\(835\) 17.9830 + 5.59951i 0.622326 + 0.193779i
\(836\) −2.54937 5.29383i −0.0881719 0.183091i
\(837\) −2.64420 + 1.66146i −0.0913971 + 0.0574286i
\(838\) 28.3330 + 9.91414i 0.978747 + 0.342478i
\(839\) −30.2954 14.5895i −1.04591 0.503685i −0.169642 0.985506i \(-0.554261\pi\)
−0.876270 + 0.481821i \(0.839975\pi\)
\(840\) 13.4693 10.6515i 0.464735 0.367512i
\(841\) −13.4236 + 6.46446i −0.462882 + 0.222912i
\(842\) 6.28687 0.708360i 0.216660 0.0244117i
\(843\) −24.0301 68.6741i −0.827641 2.36526i
\(844\) 7.05619 5.62713i 0.242884 0.193694i
\(845\) −82.2535 + 2.85831i −2.82961 + 0.0983288i
\(846\) −55.3063 + 44.1053i −1.90147 + 1.51637i
\(847\) 17.1549 19.8768i 0.589449 0.682976i
\(848\) −0.173327 1.53832i −0.00595207 0.0528261i
\(849\) −0.522942 + 1.08590i −0.0179473 + 0.0372680i
\(850\) 1.53203 9.80948i 0.0525484 0.336462i
\(851\) −28.7102 −0.984173
\(852\) 23.2632 23.2632i 0.796983 0.796983i
\(853\) −21.2889 + 33.8810i −0.728917 + 1.16006i 0.252392 + 0.967625i \(0.418783\pi\)
−0.981309 + 0.192439i \(0.938360\pi\)
\(854\) 2.27671 5.77668i 0.0779073 0.197674i
\(855\) 62.9025 + 27.6438i 2.15122 + 0.945397i
\(856\) −3.58938 + 15.7261i −0.122682 + 0.537507i
\(857\) −3.35390 29.7667i −0.114567 1.01681i −0.911091 0.412204i \(-0.864759\pi\)
0.796524 0.604606i \(-0.206670\pi\)
\(858\) −2.37930 21.1169i −0.0812279 0.720918i
\(859\) 0.745842 3.26775i 0.0254478 0.111494i −0.960609 0.277904i \(-0.910360\pi\)
0.986057 + 0.166410i \(0.0532175\pi\)
\(860\) 10.4420 4.06612i 0.356069 0.138653i
\(861\) 19.7987 50.2351i 0.674738 1.71201i
\(862\) −4.94179 + 7.86482i −0.168318 + 0.267877i
\(863\) −14.7730 + 14.7730i −0.502880 + 0.502880i −0.912332 0.409452i \(-0.865720\pi\)
0.409452 + 0.912332i \(0.365720\pi\)
\(864\) −7.03895 −0.239470
\(865\) −0.906636 + 0.971916i −0.0308266 + 0.0330461i
\(866\) −16.9438 + 35.1842i −0.575774 + 1.19561i
\(867\) 4.24339 + 37.6611i 0.144113 + 1.27904i
\(868\) −0.766926 + 0.888613i −0.0260312 + 0.0301615i
\(869\) 4.48797 3.57904i 0.152244 0.121411i
\(870\) 0.846425 + 24.3575i 0.0286965 + 0.825798i
\(871\) −87.0161 + 69.3930i −2.94843 + 2.35129i
\(872\) −1.52860 4.36850i −0.0517651 0.147936i
\(873\) 16.0827 1.81208i 0.544316 0.0613297i
\(874\) −38.6419 + 18.6089i −1.30708 + 0.629457i
\(875\) 28.3471 8.45231i 0.958307 0.285740i
\(876\) 1.22097 + 0.587989i 0.0412528 + 0.0198663i
\(877\) 46.8596 + 16.3969i 1.58234 + 0.553683i 0.971287 0.237911i \(-0.0764625\pi\)
0.611048 + 0.791594i \(0.290748\pi\)
\(878\) 5.29924 3.32973i 0.178841 0.112373i
\(879\) 28.1889 + 58.5348i 0.950787 + 1.97433i
\(880\) 1.07843 + 2.05371i 0.0363539 + 0.0692307i
\(881\) 9.02699i 0.304127i −0.988371 0.152064i \(-0.951408\pi\)
0.988371 0.152064i \(-0.0485919\pi\)
\(882\) 37.2930 + 7.16666i 1.25572 + 0.241314i
\(883\) 40.4907 40.4907i 1.36262 1.36262i 0.492059 0.870562i \(-0.336244\pi\)
0.870562 0.492059i \(-0.163756\pi\)
\(884\) 10.9564 8.73744i 0.368504 0.293872i
\(885\) −22.3124 12.9615i −0.750024 0.435695i
\(886\) −3.82484 + 16.7577i −0.128498 + 0.562986i
\(887\) 7.33508 20.9625i 0.246288 0.703850i −0.752678 0.658389i \(-0.771238\pi\)
0.998966 0.0454617i \(-0.0144759\pi\)
\(888\) −3.63478 10.3876i −0.121975 0.348586i
\(889\) −36.0686 + 20.7556i −1.20970 + 0.696120i
\(890\) 23.0611 + 13.3964i 0.773010 + 0.449047i
\(891\) −2.68811 + 3.37078i −0.0900550 + 0.112925i
\(892\) 0.456691 0.159803i 0.0152911 0.00535060i
\(893\) −73.3908 8.26916i −2.45593 0.276717i
\(894\) 10.2128 + 44.7450i 0.341566 + 1.49650i
\(895\) −34.4803 + 18.1060i −1.15255 + 0.605217i
\(896\) −2.52932 + 0.776236i −0.0844986 + 0.0259322i
\(897\) −154.141 + 17.3675i −5.14661 + 0.579884i
\(898\) −12.9519 + 4.53206i −0.432209 + 0.151237i
\(899\) −0.370715 1.62421i −0.0123640 0.0541704i
\(900\) −25.1970 10.0444i −0.839902 0.334812i
\(901\) 3.07394i 0.102408i
\(902\) 6.17595 + 3.88061i 0.205637 + 0.129210i
\(903\) 33.9994 + 18.0314i 1.13143 + 0.600048i
\(904\) 7.22494 + 1.64905i 0.240298 + 0.0548464i
\(905\) 14.3016 + 6.28513i 0.475402 + 0.208925i
\(906\) 3.80011 + 3.03048i 0.126250 + 0.100681i
\(907\) −11.6376 + 1.31125i −0.386422 + 0.0435393i −0.303038 0.952978i \(-0.598001\pi\)
−0.0833831 + 0.996518i \(0.526573\pi\)
\(908\) −7.06431 + 4.43880i −0.234437 + 0.147307i
\(909\) −1.92792 + 8.44679i −0.0639452 + 0.280162i
\(910\) 37.5430 + 18.2694i 1.24454 + 0.605625i
\(911\) −8.86919 38.8584i −0.293849 1.28744i −0.879120 0.476600i \(-0.841869\pi\)
0.585271 0.810838i \(-0.300988\pi\)
\(912\) −11.6250 11.6250i −0.384944 0.384944i
\(913\) 4.34480 + 4.34480i 0.143792 + 0.143792i
\(914\) 28.4959 6.50401i 0.942562 0.215134i
\(915\) −15.0677 + 2.23006i −0.498124 + 0.0737236i
\(916\) 4.53185 + 3.61403i 0.149737 + 0.119411i
\(917\) 21.7161 15.9793i 0.717128 0.527684i
\(918\) −13.8892 1.56494i −0.458412 0.0516506i
\(919\) −22.4824 + 5.13147i −0.741628 + 0.169272i −0.576611 0.817019i \(-0.695625\pi\)
−0.165017 + 0.986291i \(0.552768\pi\)
\(920\) 14.9909 7.87192i 0.494236 0.259529i
\(921\) −18.9216 9.11218i −0.623489 0.300256i
\(922\) 0.862279 + 7.65294i 0.0283976 + 0.252036i
\(923\) 75.5025 + 26.4195i 2.48520 + 0.869607i
\(924\) −2.92111 + 7.41172i −0.0960975 + 0.243828i
\(925\) 0.809764 18.9402i 0.0266249 0.622750i
\(926\) 22.2176 10.6994i 0.730116 0.351605i
\(927\) −15.6379 24.8876i −0.513616 0.817415i
\(928\) 1.24024 3.54440i 0.0407128 0.116351i
\(929\) −4.63191 5.80823i −0.151968 0.190562i 0.700020 0.714123i \(-0.253174\pi\)
−0.851988 + 0.523561i \(0.824603\pi\)
\(930\) 2.82786 + 0.542867i 0.0927292 + 0.0178013i
\(931\) 22.2408 + 32.8224i 0.728913 + 1.07571i
\(932\) 3.10310 + 3.10310i 0.101645 + 0.101645i
\(933\) −8.02955 0.904713i −0.262876 0.0296190i
\(934\) −27.6314 + 13.3066i −0.904127 + 0.435405i
\(935\) 1.67136 + 4.29214i 0.0546593 + 0.140368i
\(936\) −16.6120 34.4953i −0.542982 1.12751i
\(937\) 24.3012 8.50335i 0.793885 0.277792i 0.0972892 0.995256i \(-0.468983\pi\)
0.696596 + 0.717464i \(0.254697\pi\)
\(938\) 41.0080 7.69847i 1.33896 0.251364i
\(939\) 25.3576 + 52.6557i 0.827515 + 1.71835i
\(940\) 29.0696 + 2.25635i 0.948144 + 0.0735940i
\(941\) 17.5400 36.4222i 0.571789 1.18733i −0.391827 0.920039i \(-0.628157\pi\)
0.963616 0.267292i \(-0.0861289\pi\)
\(942\) −0.755680 + 6.70685i −0.0246214 + 0.218521i
\(943\) 28.3262 45.0809i 0.922427 1.46803i
\(944\) 2.47882 + 3.10834i 0.0806786 + 0.101168i
\(945\) −13.5928 39.3621i −0.442175 1.28045i
\(946\) −3.24132 + 4.06449i −0.105384 + 0.132148i
\(947\) −12.7414 36.4127i −0.414039 1.18326i −0.942473 0.334281i \(-0.891506\pi\)
0.528434 0.848974i \(-0.322779\pi\)
\(948\) 8.54524 13.5997i 0.277537 0.441697i
\(949\) 3.29500i 0.106960i
\(950\) −11.1865 26.0170i −0.362938 0.844103i
\(951\) −6.79699 + 1.55137i −0.220407 + 0.0503066i
\(952\) −5.16341 + 0.969331i −0.167347 + 0.0314162i
\(953\) −11.1820 17.7961i −0.362221 0.576471i 0.615044 0.788493i \(-0.289138\pi\)
−0.977265 + 0.212021i \(0.931995\pi\)
\(954\) −8.18771 1.86879i −0.265087 0.0605043i
\(955\) −34.9116 + 29.8824i −1.12971 + 0.966970i
\(956\) −8.51853 + 10.6819i −0.275509 + 0.345477i
\(957\) −6.01568 9.57391i −0.194459 0.309480i
\(958\) −21.7462 + 13.6641i −0.702589 + 0.441466i
\(959\) 3.32664 21.8588i 0.107423 0.705859i
\(960\) 4.74602 + 4.42725i 0.153177 + 0.142889i
\(961\) 30.8032 0.993651
\(962\) 18.9209 18.9209i 0.610034 0.610034i
\(963\) 74.0959 + 46.5575i 2.38771 + 1.50030i
\(964\) 15.8122 + 7.61474i 0.509276 + 0.245254i
\(965\) −1.83008 + 23.5777i −0.0589123 + 0.758993i
\(966\) 54.1012 + 21.3224i 1.74068 + 0.686037i
\(967\) 0.745462 6.61616i 0.0239724 0.212761i −0.976015 0.217702i \(-0.930144\pi\)
0.999988 + 0.00494036i \(0.00157257\pi\)
\(968\) 8.40276 + 5.27981i 0.270075 + 0.169699i
\(969\) −20.3539 25.5230i −0.653862 0.819917i
\(970\) −5.35675 3.97555i −0.171995 0.127647i
\(971\) −25.8515 20.6159i −0.829616 0.661596i 0.113692 0.993516i \(-0.463732\pi\)
−0.943308 + 0.331920i \(0.892304\pi\)
\(972\) 2.99019 8.54547i 0.0959103 0.274096i
\(973\) −30.1393 1.17086i −0.966222 0.0375359i
\(974\) 15.3987 31.9758i 0.493408 1.02457i
\(975\) −7.10989 102.177i −0.227699 3.27228i
\(976\) 2.28799 + 0.522220i 0.0732369 + 0.0167158i
\(977\) −41.1750 14.4078i −1.31731 0.460945i −0.422080 0.906559i \(-0.638700\pi\)
−0.895225 + 0.445614i \(0.852986\pi\)
\(978\) 3.82940 33.9868i 0.122451 1.08678i
\(979\) −12.3729 −0.395439
\(980\) −9.22508 12.6451i −0.294684 0.403932i
\(981\) −25.1083 −0.801648
\(982\) −2.31987 + 20.5895i −0.0740302 + 0.657036i
\(983\) −29.2564 10.2372i −0.933133 0.326517i −0.179459 0.983766i \(-0.557435\pi\)
−0.753674 + 0.657248i \(0.771720\pi\)
\(984\) 19.8968 + 4.54132i 0.634288 + 0.144772i
\(985\) −7.90461 4.59185i −0.251862 0.146308i
\(986\) 3.23524 6.71805i 0.103031 0.213946i
\(987\) 59.3480 + 80.6546i 1.88907 + 2.56726i
\(988\) 13.2023 37.7300i 0.420021 1.20035i
\(989\) 29.6684 + 23.6597i 0.943400 + 0.752336i
\(990\) 12.4486 1.84242i 0.395643 0.0585561i
\(991\) −28.6495 35.9253i −0.910080 1.14120i −0.989524 0.144365i \(-0.953886\pi\)
0.0794441 0.996839i \(-0.474685\pi\)
\(992\) −0.375653 0.236039i −0.0119270 0.00749424i
\(993\) 8.22614 73.0090i 0.261049 2.31687i
\(994\) −20.3655 22.0118i −0.645956 0.698173i
\(995\) 5.61931 4.80981i 0.178144 0.152481i
\(996\) 15.4897 + 7.45946i 0.490811 + 0.236362i
\(997\) 14.5459 + 9.13976i 0.460672 + 0.289459i 0.742304 0.670063i \(-0.233733\pi\)
−0.281632 + 0.959522i \(0.590876\pi\)
\(998\) −29.1240 + 29.1240i −0.921904 + 0.921904i
\(999\) −26.6882 −0.844377
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 490.2.s.a.237.16 yes 336
5.3 odd 4 inner 490.2.s.a.433.13 yes 336
49.6 odd 14 inner 490.2.s.a.447.13 yes 336
245.153 even 28 inner 490.2.s.a.153.16 336
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
490.2.s.a.153.16 336 245.153 even 28 inner
490.2.s.a.237.16 yes 336 1.1 even 1 trivial
490.2.s.a.433.13 yes 336 5.3 odd 4 inner
490.2.s.a.447.13 yes 336 49.6 odd 14 inner