Properties

Label 125.2.g.a.106.3
Level $125$
Weight $2$
Character 125.106
Analytic conductor $0.998$
Analytic rank $0$
Dimension $220$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [125,2,Mod(6,125)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(125, base_ring=CyclotomicField(50))
 
chi = DirichletCharacter(H, H._module([4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("125.6");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 125 = 5^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 125.g (of order \(25\), degree \(20\), 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: \(0.998130025266\)
Analytic rank: \(0\)
Dimension: \(220\)
Relative dimension: \(11\) over \(\Q(\zeta_{25})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{25}]$

Embedding invariants

Embedding label 106.3
Character \(\chi\) \(=\) 125.106
Dual form 125.2.g.a.46.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.18908 + 1.87369i) q^{2} +(2.12747 - 1.99783i) q^{3} +(-1.24525 - 2.64628i) q^{4} +(-1.16227 - 1.91027i) q^{5} +(1.21358 + 6.36180i) q^{6} +(1.89189 - 1.37454i) q^{7} +(2.03571 + 0.257169i) q^{8} +(0.346444 - 5.50657i) q^{9} +O(q^{10})\) \(q+(-1.18908 + 1.87369i) q^{2} +(2.12747 - 1.99783i) q^{3} +(-1.24525 - 2.64628i) q^{4} +(-1.16227 - 1.91027i) q^{5} +(1.21358 + 6.36180i) q^{6} +(1.89189 - 1.37454i) q^{7} +(2.03571 + 0.257169i) q^{8} +(0.346444 - 5.50657i) q^{9} +(4.96129 + 0.0937219i) q^{10} +(0.422527 - 0.665796i) q^{11} +(-7.93604 - 3.14210i) q^{12} +(-0.320242 + 5.09010i) q^{13} +(0.325851 + 5.17925i) q^{14} +(-6.28909 - 1.74202i) q^{15} +(0.825981 - 0.998440i) q^{16} +(-2.92026 + 6.20586i) q^{17} +(9.90566 + 7.19689i) q^{18} +(2.64319 + 2.48212i) q^{19} +(-3.60779 + 5.45445i) q^{20} +(1.27885 - 6.70396i) q^{21} +(0.745077 + 1.58337i) q^{22} +(1.88804 + 0.484765i) q^{23} +(4.84469 - 3.51987i) q^{24} +(-2.29824 + 4.44050i) q^{25} +(-9.15647 - 6.65257i) q^{26} +(-4.68324 - 5.66106i) q^{27} +(-5.99328 - 3.29483i) q^{28} +(-3.82843 - 2.10470i) q^{29} +(10.7422 - 9.71241i) q^{30} +(2.80858 - 5.96855i) q^{31} +(2.15674 + 6.63778i) q^{32} +(-0.431232 - 2.26060i) q^{33} +(-8.15545 - 12.8509i) q^{34} +(-4.82463 - 2.01643i) q^{35} +(-15.0034 + 5.94025i) q^{36} +(2.98889 - 3.61294i) q^{37} +(-7.79369 + 2.00108i) q^{38} +(9.48784 + 11.4688i) q^{39} +(-1.87478 - 4.18764i) q^{40} +(5.09429 - 1.30799i) q^{41} +(11.0405 + 10.3677i) q^{42} +(-0.747262 + 2.29983i) q^{43} +(-2.28803 - 0.289046i) q^{44} +(-10.9217 + 5.73834i) q^{45} +(-3.15333 + 2.96117i) q^{46} +(-5.44835 + 0.688287i) q^{47} +(-0.237460 - 3.77432i) q^{48} +(-0.473229 + 1.45645i) q^{49} +(-5.58733 - 9.58631i) q^{50} +(6.18549 + 19.0370i) q^{51} +(13.8686 - 5.49097i) q^{52} +(-0.0246402 + 0.129168i) q^{53} +(16.1758 - 2.04348i) q^{54} +(-1.76294 - 0.0333031i) q^{55} +(4.20482 - 2.31162i) q^{56} +10.5822 q^{57} +(8.49585 - 4.67064i) q^{58} +(7.51592 + 2.97576i) q^{59} +(3.22159 + 18.8119i) q^{60} +(-14.2444 - 3.65735i) q^{61} +(7.84358 + 12.3595i) q^{62} +(-6.91356 - 10.8940i) q^{63} +(-12.4915 - 3.20727i) q^{64} +(10.0957 - 5.30433i) q^{65} +(4.74843 + 1.88004i) q^{66} +(-0.115091 + 0.0632720i) q^{67} +20.0589 q^{68} +(4.98523 - 2.74065i) q^{69} +(9.51503 - 6.64216i) q^{70} +(-8.69824 + 1.09884i) q^{71} +(2.12138 - 11.1207i) q^{72} +(-1.73325 + 0.686243i) q^{73} +(3.21551 + 9.89633i) q^{74} +(3.98192 + 14.0385i) q^{75} +(3.27697 - 10.0855i) q^{76} +(-0.115788 - 1.84039i) q^{77} +(-32.7708 + 4.13992i) q^{78} +(-6.32177 + 5.93653i) q^{79} +(-2.86730 - 0.417386i) q^{80} +(-4.85144 - 0.612879i) q^{81} +(-3.60675 + 11.1004i) q^{82} +(4.09906 + 3.84927i) q^{83} +(-19.3331 + 4.96389i) q^{84} +(15.2490 - 1.63443i) q^{85} +(-3.42062 - 4.13482i) q^{86} +(-12.3497 + 3.17086i) q^{87} +(1.03136 - 1.24670i) q^{88} +(4.95500 - 1.96182i) q^{89} +(2.23490 - 27.2872i) q^{90} +(6.39067 + 10.0701i) q^{91} +(-1.06824 - 5.59993i) q^{92} +(-5.94895 - 18.3090i) q^{93} +(5.18889 - 11.0270i) q^{94} +(1.66941 - 7.93410i) q^{95} +(17.8496 + 9.81288i) q^{96} +(-7.75974 - 4.26595i) q^{97} +(-2.16623 - 2.61852i) q^{98} +(-3.51987 - 2.55734i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 220 q - 20 q^{2} - 20 q^{3} - 20 q^{4} - 15 q^{5} - 20 q^{6} - 15 q^{7} - 5 q^{8} - 20 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 220 q - 20 q^{2} - 20 q^{3} - 20 q^{4} - 15 q^{5} - 20 q^{6} - 15 q^{7} - 5 q^{8} - 20 q^{9} - 20 q^{10} - 15 q^{11} - 100 q^{12} - 20 q^{13} - 10 q^{14} - 15 q^{17} + 10 q^{18} - 10 q^{19} + 5 q^{20} - 5 q^{21} + 25 q^{22} - 90 q^{23} + 15 q^{24} - 45 q^{25} + 15 q^{26} + 10 q^{27} + 30 q^{28} - 10 q^{29} + 40 q^{30} - 10 q^{31} + 20 q^{32} + 15 q^{33} + 5 q^{34} + 10 q^{35} - 210 q^{36} + 20 q^{37} + 30 q^{38} + 45 q^{40} - 5 q^{41} + 70 q^{42} + 25 q^{43} + 15 q^{44} - 100 q^{45} - 100 q^{47} + 105 q^{48} - 20 q^{49} + 60 q^{50} + 25 q^{51} + 85 q^{52} + 20 q^{53} + 60 q^{54} + 15 q^{55} - 105 q^{56} + 40 q^{57} - 225 q^{58} + 5 q^{59} - 35 q^{60} + 65 q^{62} + 85 q^{63} + 45 q^{64} + 45 q^{65} + 55 q^{66} - 105 q^{67} + 80 q^{68} + 40 q^{69} + 95 q^{70} - 85 q^{71} + 160 q^{72} + 40 q^{73} + 35 q^{74} + 55 q^{75} + 35 q^{76} + 75 q^{77} - 10 q^{78} - 330 q^{80} + 55 q^{81} - 95 q^{82} + 50 q^{83} + 115 q^{84} + 85 q^{85} + 40 q^{86} + 95 q^{87} + 165 q^{88} + 55 q^{89} + 170 q^{90} - 105 q^{91} + 155 q^{92} - 185 q^{93} + 60 q^{94} + 30 q^{95} + 135 q^{96} + 65 q^{97} + 135 q^{98} + 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{17}{25}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.18908 + 1.87369i −0.840807 + 1.32490i 0.103095 + 0.994672i \(0.467126\pi\)
−0.943901 + 0.330228i \(0.892874\pi\)
\(3\) 2.12747 1.99783i 1.22830 1.15345i 0.245374 0.969428i \(-0.421089\pi\)
0.982923 0.184019i \(-0.0589108\pi\)
\(4\) −1.24525 2.64628i −0.622623 1.32314i
\(5\) −1.16227 1.91027i −0.519784 0.854298i
\(6\) 1.21358 + 6.36180i 0.495442 + 2.59720i
\(7\) 1.89189 1.37454i 0.715067 0.519527i −0.169737 0.985489i \(-0.554292\pi\)
0.884804 + 0.465963i \(0.154292\pi\)
\(8\) 2.03571 + 0.257169i 0.719731 + 0.0909231i
\(9\) 0.346444 5.50657i 0.115481 1.83552i
\(10\) 4.96129 + 0.0937219i 1.56890 + 0.0296375i
\(11\) 0.422527 0.665796i 0.127397 0.200745i −0.774642 0.632400i \(-0.782070\pi\)
0.902039 + 0.431655i \(0.142070\pi\)
\(12\) −7.93604 3.14210i −2.29094 0.907047i
\(13\) −0.320242 + 5.09010i −0.0888191 + 1.41174i 0.661144 + 0.750259i \(0.270071\pi\)
−0.749963 + 0.661480i \(0.769929\pi\)
\(14\) 0.325851 + 5.17925i 0.0870873 + 1.38421i
\(15\) −6.28909 1.74202i −1.62384 0.449787i
\(16\) 0.825981 0.998440i 0.206495 0.249610i
\(17\) −2.92026 + 6.20586i −0.708267 + 1.50514i 0.148209 + 0.988956i \(0.452649\pi\)
−0.856476 + 0.516187i \(0.827351\pi\)
\(18\) 9.90566 + 7.19689i 2.33479 + 1.69632i
\(19\) 2.64319 + 2.48212i 0.606389 + 0.569437i 0.925722 0.378205i \(-0.123459\pi\)
−0.319332 + 0.947643i \(0.603459\pi\)
\(20\) −3.60779 + 5.45445i −0.806727 + 1.21965i
\(21\) 1.27885 6.70396i 0.279068 1.46292i
\(22\) 0.745077 + 1.58337i 0.158851 + 0.337576i
\(23\) 1.88804 + 0.484765i 0.393683 + 0.101081i 0.440342 0.897830i \(-0.354857\pi\)
−0.0466587 + 0.998911i \(0.514857\pi\)
\(24\) 4.84469 3.51987i 0.988918 0.718491i
\(25\) −2.29824 + 4.44050i −0.459649 + 0.888101i
\(26\) −9.15647 6.65257i −1.79573 1.30468i
\(27\) −4.68324 5.66106i −0.901290 1.08947i
\(28\) −5.99328 3.29483i −1.13262 0.622665i
\(29\) −3.82843 2.10470i −0.710921 0.390832i 0.0848793 0.996391i \(-0.472950\pi\)
−0.795800 + 0.605559i \(0.792950\pi\)
\(30\) 10.7422 9.71241i 1.96126 1.77324i
\(31\) 2.80858 5.96855i 0.504437 1.07198i −0.476771 0.879028i \(-0.658193\pi\)
0.981208 0.192955i \(-0.0618071\pi\)
\(32\) 2.15674 + 6.63778i 0.381262 + 1.17340i
\(33\) −0.431232 2.26060i −0.0750679 0.393520i
\(34\) −8.15545 12.8509i −1.39865 2.20392i
\(35\) −4.82463 2.01643i −0.815511 0.340838i
\(36\) −15.0034 + 5.94025i −2.50056 + 0.990041i
\(37\) 2.98889 3.61294i 0.491370 0.593964i −0.465295 0.885156i \(-0.654052\pi\)
0.956665 + 0.291191i \(0.0940517\pi\)
\(38\) −7.79369 + 2.00108i −1.26430 + 0.324618i
\(39\) 9.48784 + 11.4688i 1.51927 + 1.83648i
\(40\) −1.87478 4.18764i −0.296429 0.662125i
\(41\) 5.09429 1.30799i 0.795594 0.204274i 0.171049 0.985262i \(-0.445284\pi\)
0.624545 + 0.780989i \(0.285284\pi\)
\(42\) 11.0405 + 10.3677i 1.70359 + 1.59977i
\(43\) −0.747262 + 2.29983i −0.113956 + 0.350721i −0.991728 0.128358i \(-0.959029\pi\)
0.877772 + 0.479079i \(0.159029\pi\)
\(44\) −2.28803 0.289046i −0.344934 0.0435753i
\(45\) −10.9217 + 5.73834i −1.62811 + 0.855421i
\(46\) −3.15333 + 2.96117i −0.464933 + 0.436601i
\(47\) −5.44835 + 0.688287i −0.794724 + 0.100397i −0.512203 0.858864i \(-0.671171\pi\)
−0.282521 + 0.959261i \(0.591171\pi\)
\(48\) −0.237460 3.77432i −0.0342744 0.544777i
\(49\) −0.473229 + 1.45645i −0.0676041 + 0.208064i
\(50\) −5.58733 9.58631i −0.790168 1.35571i
\(51\) 6.18549 + 19.0370i 0.866142 + 2.66571i
\(52\) 13.8686 5.49097i 1.92323 0.761460i
\(53\) −0.0246402 + 0.129168i −0.00338459 + 0.0177426i −0.983939 0.178502i \(-0.942875\pi\)
0.980555 + 0.196245i \(0.0628748\pi\)
\(54\) 16.1758 2.04348i 2.20125 0.278083i
\(55\) −1.76294 0.0333031i −0.237715 0.00449059i
\(56\) 4.20482 2.31162i 0.561893 0.308903i
\(57\) 10.5822 1.40164
\(58\) 8.49585 4.67064i 1.11556 0.613284i
\(59\) 7.51592 + 2.97576i 0.978489 + 0.387411i 0.802284 0.596942i \(-0.203618\pi\)
0.176205 + 0.984353i \(0.443618\pi\)
\(60\) 3.22159 + 18.8119i 0.415906 + 2.42861i
\(61\) −14.2444 3.65735i −1.82381 0.468275i −0.828083 0.560606i \(-0.810568\pi\)
−0.995728 + 0.0923305i \(0.970568\pi\)
\(62\) 7.84358 + 12.3595i 0.996135 + 1.56966i
\(63\) −6.91356 10.8940i −0.871027 1.37252i
\(64\) −12.4915 3.20727i −1.56143 0.400908i
\(65\) 10.0957 5.30433i 1.25221 0.657921i
\(66\) 4.74843 + 1.88004i 0.584492 + 0.231417i
\(67\) −0.115091 + 0.0632720i −0.0140606 + 0.00772990i −0.488768 0.872414i \(-0.662554\pi\)
0.474708 + 0.880143i \(0.342554\pi\)
\(68\) 20.0589 2.43250
\(69\) 4.98523 2.74065i 0.600151 0.329936i
\(70\) 9.51503 6.64216i 1.13726 0.793890i
\(71\) −8.69824 + 1.09884i −1.03229 + 0.130409i −0.623182 0.782077i \(-0.714160\pi\)
−0.409109 + 0.912485i \(0.634160\pi\)
\(72\) 2.12138 11.1207i 0.250007 1.31058i
\(73\) −1.73325 + 0.686243i −0.202862 + 0.0803187i −0.467358 0.884068i \(-0.654794\pi\)
0.264497 + 0.964387i \(0.414794\pi\)
\(74\) 3.21551 + 9.89633i 0.373796 + 1.15042i
\(75\) 3.98192 + 14.0385i 0.459792 + 1.62103i
\(76\) 3.27697 10.0855i 0.375894 1.15688i
\(77\) −0.115788 1.84039i −0.0131952 0.209732i
\(78\) −32.7708 + 4.13992i −3.71057 + 0.468753i
\(79\) −6.32177 + 5.93653i −0.711254 + 0.667912i −0.953187 0.302381i \(-0.902219\pi\)
0.241933 + 0.970293i \(0.422219\pi\)
\(80\) −2.86730 0.417386i −0.320574 0.0466652i
\(81\) −4.85144 0.612879i −0.539049 0.0680977i
\(82\) −3.60675 + 11.1004i −0.398299 + 1.22584i
\(83\) 4.09906 + 3.84927i 0.449930 + 0.422512i 0.876099 0.482131i \(-0.160137\pi\)
−0.426169 + 0.904644i \(0.640137\pi\)
\(84\) −19.3331 + 4.96389i −2.10941 + 0.541604i
\(85\) 15.2490 1.63443i 1.65399 0.177279i
\(86\) −3.42062 4.13482i −0.368855 0.445870i
\(87\) −12.3497 + 3.17086i −1.32403 + 0.339952i
\(88\) 1.03136 1.24670i 0.109944 0.132899i
\(89\) 4.95500 1.96182i 0.525229 0.207953i −0.0905209 0.995895i \(-0.528853\pi\)
0.615750 + 0.787942i \(0.288853\pi\)
\(90\) 2.23490 27.2872i 0.235579 2.87633i
\(91\) 6.39067 + 10.0701i 0.669924 + 1.05563i
\(92\) −1.06824 5.59993i −0.111372 0.583833i
\(93\) −5.94895 18.3090i −0.616878 1.89855i
\(94\) 5.18889 11.0270i 0.535193 1.13734i
\(95\) 1.66941 7.93410i 0.171277 0.814021i
\(96\) 17.8496 + 9.81288i 1.82176 + 1.00152i
\(97\) −7.75974 4.26595i −0.787882 0.433142i 0.0363885 0.999338i \(-0.488415\pi\)
−0.824271 + 0.566196i \(0.808415\pi\)
\(98\) −2.16623 2.61852i −0.218822 0.264510i
\(99\) −3.51987 2.55734i −0.353761 0.257022i
\(100\) 14.6127 + 0.552284i 1.46127 + 0.0552284i
\(101\) 4.81513 3.49840i 0.479123 0.348103i −0.321863 0.946786i \(-0.604309\pi\)
0.800986 + 0.598683i \(0.204309\pi\)
\(102\) −43.0245 11.0468i −4.26006 1.09380i
\(103\) 0.350373 + 0.744581i 0.0345233 + 0.0733658i 0.921345 0.388746i \(-0.127092\pi\)
−0.886822 + 0.462112i \(0.847092\pi\)
\(104\) −1.96094 + 10.2796i −0.192286 + 1.00800i
\(105\) −14.2927 + 5.34889i −1.39483 + 0.521998i
\(106\) −0.212722 0.199760i −0.0206614 0.0194024i
\(107\) −10.9330 7.94327i −1.05693 0.767905i −0.0834120 0.996515i \(-0.526582\pi\)
−0.973518 + 0.228611i \(0.926582\pi\)
\(108\) −9.14899 + 19.4426i −0.880362 + 1.87086i
\(109\) 6.97110 8.42662i 0.667711 0.807123i −0.322520 0.946563i \(-0.604530\pi\)
0.990231 + 0.139439i \(0.0445300\pi\)
\(110\) 2.15868 3.26360i 0.205822 0.311172i
\(111\) −0.859271 13.6577i −0.0815584 1.29633i
\(112\) 0.190272 3.02428i 0.0179790 0.285768i
\(113\) 7.98708 + 3.16231i 0.751361 + 0.297485i 0.712417 0.701756i \(-0.247601\pi\)
0.0389442 + 0.999241i \(0.487601\pi\)
\(114\) −12.5830 + 19.8277i −1.17851 + 1.85703i
\(115\) −1.26838 4.17009i −0.118277 0.388862i
\(116\) −0.802285 + 12.7520i −0.0744903 + 1.18399i
\(117\) 27.9180 + 3.52687i 2.58102 + 0.326059i
\(118\) −14.5127 + 10.5441i −1.33600 + 0.970662i
\(119\) 3.00539 + 15.7548i 0.275504 + 1.44424i
\(120\) −12.3547 5.16360i −1.12783 0.471370i
\(121\) 4.41882 + 9.39046i 0.401711 + 0.853679i
\(122\) 23.7905 22.3408i 2.15389 2.02264i
\(123\) 8.22482 12.9602i 0.741607 1.16859i
\(124\) −19.2918 −1.73246
\(125\) 11.1537 0.770815i 0.997621 0.0689438i
\(126\) 28.6328 2.55081
\(127\) −6.84348 + 10.7836i −0.607261 + 0.956890i 0.392056 + 0.919941i \(0.371764\pi\)
−0.999317 + 0.0369489i \(0.988236\pi\)
\(128\) 10.6873 10.0360i 0.944633 0.887070i
\(129\) 3.00490 + 6.38574i 0.264567 + 0.562233i
\(130\) −2.06586 + 25.2234i −0.181188 + 2.21224i
\(131\) −1.93035 10.1193i −0.168656 0.884124i −0.961522 0.274728i \(-0.911412\pi\)
0.792866 0.609396i \(-0.208588\pi\)
\(132\) −5.44519 + 3.95616i −0.473943 + 0.344340i
\(133\) 8.41239 + 1.06273i 0.729447 + 0.0921506i
\(134\) 0.0183007 0.290881i 0.00158094 0.0251283i
\(135\) −5.37095 + 15.5259i −0.462257 + 1.33626i
\(136\) −7.54075 + 11.8823i −0.646614 + 1.01890i
\(137\) −7.54666 2.98793i −0.644755 0.255276i 0.0229111 0.999738i \(-0.492707\pi\)
−0.667666 + 0.744461i \(0.732707\pi\)
\(138\) −0.792701 + 12.5996i −0.0674792 + 1.07255i
\(139\) −0.127048 2.01937i −0.0107761 0.171281i −0.999734 0.0230814i \(-0.992652\pi\)
0.988958 0.148199i \(-0.0473477\pi\)
\(140\) 0.671812 + 15.2783i 0.0567785 + 1.29125i
\(141\) −10.2161 + 12.3492i −0.860354 + 1.03999i
\(142\) 8.28401 17.6044i 0.695179 1.47733i
\(143\) 3.25366 + 2.36392i 0.272084 + 0.197681i
\(144\) −5.21183 4.89423i −0.434319 0.407853i
\(145\) 0.429145 + 9.75955i 0.0356385 + 0.810487i
\(146\) 0.775169 4.06358i 0.0641534 0.336304i
\(147\) 1.90295 + 4.04398i 0.156953 + 0.333542i
\(148\) −13.2828 3.41043i −1.09184 0.280336i
\(149\) 2.55756 1.85817i 0.209523 0.152228i −0.478075 0.878319i \(-0.658665\pi\)
0.687598 + 0.726092i \(0.258665\pi\)
\(150\) −31.0387 9.23208i −2.53430 0.753796i
\(151\) −17.3585 12.6117i −1.41262 1.02633i −0.992935 0.118656i \(-0.962142\pi\)
−0.419682 0.907671i \(-0.637858\pi\)
\(152\) 4.74243 + 5.73261i 0.384662 + 0.464976i
\(153\) 33.1613 + 18.2306i 2.68094 + 1.47386i
\(154\) 3.58601 + 1.97142i 0.288969 + 0.158862i
\(155\) −14.6659 + 1.57193i −1.17799 + 0.126260i
\(156\) 18.5351 39.3890i 1.48399 3.15364i
\(157\) 0.966723 + 2.97527i 0.0771529 + 0.237452i 0.982193 0.187874i \(-0.0601595\pi\)
−0.905040 + 0.425326i \(0.860160\pi\)
\(158\) −3.60614 18.9040i −0.286889 1.50393i
\(159\) 0.205635 + 0.324029i 0.0163079 + 0.0256972i
\(160\) 10.1732 11.8349i 0.804262 0.935628i
\(161\) 4.23829 1.67806i 0.334024 0.132249i
\(162\) 6.91709 8.36133i 0.543458 0.656928i
\(163\) 13.6812 3.51273i 1.07159 0.275139i 0.328622 0.944461i \(-0.393416\pi\)
0.742972 + 0.669323i \(0.233416\pi\)
\(164\) −9.80496 11.8522i −0.765638 0.925498i
\(165\) −3.81714 + 3.45120i −0.297164 + 0.268676i
\(166\) −12.0865 + 3.10327i −0.938091 + 0.240861i
\(167\) 0.843418 + 0.792023i 0.0652657 + 0.0612885i 0.716494 0.697594i \(-0.245746\pi\)
−0.651228 + 0.758882i \(0.725746\pi\)
\(168\) 4.32742 13.3184i 0.333867 1.02754i
\(169\) −12.9090 1.63079i −0.993002 0.125445i
\(170\) −15.0699 + 30.5154i −1.15581 + 2.34042i
\(171\) 14.5837 13.6950i 1.11524 1.04728i
\(172\) 7.01653 0.886394i 0.535006 0.0675869i
\(173\) −1.40257 22.2932i −0.106635 1.69492i −0.580450 0.814296i \(-0.697123\pi\)
0.473815 0.880624i \(-0.342877\pi\)
\(174\) 8.74356 26.9099i 0.662848 2.04004i
\(175\) 1.75562 + 11.5600i 0.132712 + 0.873851i
\(176\) −0.315758 0.971803i −0.0238012 0.0732524i
\(177\) 21.9350 8.68467i 1.64873 0.652780i
\(178\) −2.21604 + 11.6169i −0.166099 + 0.870723i
\(179\) −14.2065 + 1.79469i −1.06184 + 0.134142i −0.636797 0.771031i \(-0.719741\pi\)
−0.425043 + 0.905173i \(0.639741\pi\)
\(180\) 28.7855 + 21.7562i 2.14554 + 1.62161i
\(181\) −7.88610 + 4.33542i −0.586169 + 0.322249i −0.747095 0.664717i \(-0.768552\pi\)
0.160926 + 0.986967i \(0.448552\pi\)
\(182\) −26.4672 −1.96188
\(183\) −37.6114 + 20.6770i −2.78031 + 1.52849i
\(184\) 3.71882 + 1.47239i 0.274155 + 0.108546i
\(185\) −10.3756 1.51035i −0.762829 0.111043i
\(186\) 41.3792 + 10.6244i 3.03407 + 0.779016i
\(187\) 2.89795 + 4.56644i 0.211919 + 0.333931i
\(188\) 8.60594 + 13.5608i 0.627653 + 0.989022i
\(189\) −16.6415 4.27282i −1.21049 0.310802i
\(190\) 12.8810 + 12.5622i 0.934485 + 0.911360i
\(191\) 8.32469 + 3.29598i 0.602354 + 0.238489i 0.649453 0.760401i \(-0.274998\pi\)
−0.0470996 + 0.998890i \(0.514998\pi\)
\(192\) −32.9828 + 18.1325i −2.38033 + 1.30860i
\(193\) −16.1360 −1.16150 −0.580748 0.814083i \(-0.697240\pi\)
−0.580748 + 0.814083i \(0.697240\pi\)
\(194\) 17.2200 9.46679i 1.23633 0.679676i
\(195\) 10.8811 31.4542i 0.779210 2.25248i
\(196\) 4.44346 0.561339i 0.317390 0.0400956i
\(197\) 2.50978 13.1567i 0.178814 0.937377i −0.773854 0.633364i \(-0.781674\pi\)
0.952668 0.304012i \(-0.0983265\pi\)
\(198\) 8.97707 3.55427i 0.637973 0.252591i
\(199\) 3.99488 + 12.2950i 0.283190 + 0.871568i 0.986935 + 0.161116i \(0.0515093\pi\)
−0.703746 + 0.710452i \(0.748491\pi\)
\(200\) −5.82051 + 8.44852i −0.411572 + 0.597401i
\(201\) −0.118447 + 0.364542i −0.00835460 + 0.0257128i
\(202\) 0.829337 + 13.1819i 0.0583520 + 0.927478i
\(203\) −10.1359 + 1.28047i −0.711404 + 0.0898712i
\(204\) 42.6748 40.0743i 2.98783 2.80576i
\(205\) −8.41957 8.21121i −0.588048 0.573496i
\(206\) −1.81174 0.228876i −0.126230 0.0159465i
\(207\) 3.32350 10.2287i 0.230999 0.710942i
\(208\) 4.81764 + 4.52407i 0.334043 + 0.313688i
\(209\) 2.76941 0.711062i 0.191564 0.0491852i
\(210\) 6.97305 33.1404i 0.481186 2.28691i
\(211\) 9.10049 + 11.0006i 0.626504 + 0.757313i 0.984303 0.176485i \(-0.0564728\pi\)
−0.357799 + 0.933798i \(0.616473\pi\)
\(212\) 0.372499 0.0956415i 0.0255833 0.00656868i
\(213\) −16.3100 + 19.7154i −1.11754 + 1.35087i
\(214\) 27.8834 11.0398i 1.90607 0.754666i
\(215\) 5.26182 1.24557i 0.358853 0.0849469i
\(216\) −8.07785 12.7286i −0.549628 0.866075i
\(217\) −2.89046 15.1523i −0.196217 1.02861i
\(218\) 7.49967 + 23.0816i 0.507942 + 1.56328i
\(219\) −2.31645 + 4.92271i −0.156531 + 0.332646i
\(220\) 2.10716 + 4.70671i 0.142065 + 0.317326i
\(221\) −30.6533 16.8518i −2.06196 1.13357i
\(222\) 26.6121 + 14.6301i 1.78609 + 0.981909i
\(223\) 3.43433 + 4.15139i 0.229980 + 0.277997i 0.872862 0.487968i \(-0.162262\pi\)
−0.642882 + 0.765965i \(0.722262\pi\)
\(224\) 13.2042 + 9.59341i 0.882243 + 0.640987i
\(225\) 23.6557 + 14.1938i 1.57705 + 0.946256i
\(226\) −15.4225 + 11.2051i −1.02589 + 0.745350i
\(227\) 9.71522 + 2.49445i 0.644822 + 0.165562i 0.556919 0.830567i \(-0.311983\pi\)
0.0879031 + 0.996129i \(0.471983\pi\)
\(228\) −13.1774 28.0034i −0.872694 1.85457i
\(229\) 3.54356 18.5760i 0.234165 1.22754i −0.649845 0.760067i \(-0.725166\pi\)
0.884010 0.467468i \(-0.154834\pi\)
\(230\) 9.32166 + 2.58201i 0.614652 + 0.170253i
\(231\) −3.92312 3.68406i −0.258123 0.242393i
\(232\) −7.25229 5.26910i −0.476136 0.345933i
\(233\) 1.64278 3.49109i 0.107622 0.228709i −0.843761 0.536720i \(-0.819663\pi\)
0.951383 + 0.308011i \(0.0996633\pi\)
\(234\) −39.8050 + 48.1160i −2.60214 + 3.14544i
\(235\) 7.64729 + 9.60784i 0.498854 + 0.626746i
\(236\) −1.48446 23.5948i −0.0966300 1.53589i
\(237\) −1.58920 + 25.2596i −0.103230 + 1.64079i
\(238\) −33.0933 13.1026i −2.14512 0.849313i
\(239\) −14.9667 + 23.5838i −0.968116 + 1.52551i −0.121984 + 0.992532i \(0.538926\pi\)
−0.846131 + 0.532974i \(0.821074\pi\)
\(240\) −6.93397 + 4.84041i −0.447586 + 0.312447i
\(241\) 0.679378 10.7984i 0.0437626 0.695586i −0.913585 0.406648i \(-0.866698\pi\)
0.957348 0.288939i \(-0.0933023\pi\)
\(242\) −22.8491 2.88652i −1.46880 0.185552i
\(243\) 6.28614 4.56715i 0.403256 0.292983i
\(244\) 8.05944 + 42.2490i 0.515953 + 2.70472i
\(245\) 3.33223 0.788796i 0.212888 0.0503943i
\(246\) 14.5035 + 30.8215i 0.924710 + 1.96511i
\(247\) −13.4807 + 12.6592i −0.857756 + 0.805486i
\(248\) 7.25238 11.4279i 0.460527 0.725674i
\(249\) 16.4108 1.03999
\(250\) −11.8184 + 21.8152i −0.747462 + 1.37972i
\(251\) 4.22708 0.266811 0.133406 0.991062i \(-0.457409\pi\)
0.133406 + 0.991062i \(0.457409\pi\)
\(252\) −20.2196 + 31.8610i −1.27371 + 2.00705i
\(253\) 1.12050 1.05222i 0.0704453 0.0661526i
\(254\) −12.0677 25.6451i −0.757194 1.60912i
\(255\) 29.1765 33.9421i 1.82710 2.12554i
\(256\) 1.26320 + 6.62193i 0.0789501 + 0.413871i
\(257\) −3.86519 + 2.80822i −0.241104 + 0.175172i −0.701775 0.712399i \(-0.747609\pi\)
0.460671 + 0.887571i \(0.347609\pi\)
\(258\) −15.5380 1.96290i −0.967351 0.122205i
\(259\) 0.688515 10.9436i 0.0427822 0.680004i
\(260\) −26.6083 20.1107i −1.65018 1.24722i
\(261\) −12.9160 + 20.3524i −0.799480 + 1.25978i
\(262\) 21.2557 + 8.41573i 1.31318 + 0.519926i
\(263\) 0.437467 6.95334i 0.0269754 0.428762i −0.961242 0.275706i \(-0.911089\pi\)
0.988218 0.153056i \(-0.0489115\pi\)
\(264\) −0.296505 4.71282i −0.0182486 0.290054i
\(265\) 0.275385 0.103060i 0.0169168 0.00633090i
\(266\) −11.9942 + 14.4985i −0.735414 + 0.888963i
\(267\) 6.62224 14.0730i 0.405274 0.861252i
\(268\) 0.310752 + 0.225775i 0.0189822 + 0.0137914i
\(269\) 12.3801 + 11.6257i 0.754830 + 0.708833i 0.963072 0.269245i \(-0.0867741\pi\)
−0.208242 + 0.978077i \(0.566774\pi\)
\(270\) −22.7043 28.5251i −1.38174 1.73598i
\(271\) 3.06530 16.0689i 0.186204 0.976115i −0.759358 0.650673i \(-0.774487\pi\)
0.945562 0.325442i \(-0.105513\pi\)
\(272\) 3.78410 + 8.04163i 0.229445 + 0.487595i
\(273\) 33.7143 + 8.65636i 2.04048 + 0.523906i
\(274\) 14.5720 10.5872i 0.880330 0.639597i
\(275\) 1.98540 + 3.40640i 0.119724 + 0.205413i
\(276\) −13.4604 9.77953i −0.810219 0.588658i
\(277\) −1.99776 2.41487i −0.120034 0.145096i 0.707073 0.707140i \(-0.250015\pi\)
−0.827107 + 0.562044i \(0.810015\pi\)
\(278\) 3.93474 + 2.16314i 0.235990 + 0.129737i
\(279\) −31.8932 17.5334i −1.90940 1.04970i
\(280\) −9.30296 5.34560i −0.555958 0.319461i
\(281\) −6.41152 + 13.6252i −0.382479 + 0.812809i 0.617183 + 0.786819i \(0.288274\pi\)
−0.999662 + 0.0259897i \(0.991726\pi\)
\(282\) −10.9908 33.8261i −0.654490 2.01431i
\(283\) −2.38969 12.5272i −0.142052 0.744663i −0.980013 0.198933i \(-0.936252\pi\)
0.837961 0.545730i \(-0.183748\pi\)
\(284\) 13.7393 + 21.6497i 0.815277 + 1.28467i
\(285\) −12.2994 20.2148i −0.728551 1.19742i
\(286\) −8.29811 + 3.28545i −0.490677 + 0.194273i
\(287\) 7.83995 9.47687i 0.462778 0.559402i
\(288\) 37.2986 9.57665i 2.19784 0.564310i
\(289\) −19.1486 23.1467i −1.12639 1.36157i
\(290\) −18.7967 10.8008i −1.10378 0.634245i
\(291\) −25.0313 + 6.42694i −1.46736 + 0.376754i
\(292\) 3.97432 + 3.73213i 0.232579 + 0.218407i
\(293\) 0.591984 1.82194i 0.0345841 0.106439i −0.932274 0.361752i \(-0.882179\pi\)
0.966858 + 0.255313i \(0.0821786\pi\)
\(294\) −9.83993 1.24307i −0.573877 0.0724975i
\(295\) −3.05104 17.8161i −0.177639 1.03729i
\(296\) 7.01363 6.58624i 0.407659 0.382818i
\(297\) −5.74791 + 0.726130i −0.333528 + 0.0421343i
\(298\) 0.440503 + 7.00159i 0.0255176 + 0.405591i
\(299\) −3.07213 + 9.45505i −0.177666 + 0.546799i
\(300\) 32.1915 28.0187i 1.85858 1.61766i
\(301\) 1.74747 + 5.37817i 0.100723 + 0.309993i
\(302\) 44.2711 17.5282i 2.54752 1.00863i
\(303\) 3.25486 17.0626i 0.186987 0.980218i
\(304\) 4.66147 0.588881i 0.267354 0.0337746i
\(305\) 9.56939 + 31.4615i 0.547942 + 1.80148i
\(306\) −73.5900 + 40.4564i −4.20686 + 2.31274i
\(307\) 11.8373 0.675588 0.337794 0.941220i \(-0.390319\pi\)
0.337794 + 0.941220i \(0.390319\pi\)
\(308\) −4.72601 + 2.59815i −0.269290 + 0.148043i
\(309\) 2.23296 + 0.884090i 0.127028 + 0.0502941i
\(310\) 14.4936 29.3484i 0.823180 1.66688i
\(311\) 30.6408 + 7.86722i 1.73748 + 0.446109i 0.978710 0.205249i \(-0.0658003\pi\)
0.758771 + 0.651358i \(0.225800\pi\)
\(312\) 16.3650 + 25.7871i 0.926487 + 1.45991i
\(313\) 15.0742 + 23.7531i 0.852043 + 1.34260i 0.938118 + 0.346316i \(0.112567\pi\)
−0.0860752 + 0.996289i \(0.527433\pi\)
\(314\) −6.72424 1.72649i −0.379471 0.0974316i
\(315\) −12.7751 + 25.8686i −0.719794 + 1.45753i
\(316\) 23.5819 + 9.33673i 1.32658 + 0.525232i
\(317\) 6.18336 3.39933i 0.347292 0.190926i −0.298555 0.954393i \(-0.596504\pi\)
0.645847 + 0.763467i \(0.276504\pi\)
\(318\) −0.851647 −0.0477580
\(319\) −3.01891 + 1.65966i −0.169027 + 0.0929232i
\(320\) 8.39177 + 27.5898i 0.469114 + 1.54232i
\(321\) −39.1289 + 4.94313i −2.18396 + 0.275898i
\(322\) −1.89550 + 9.93658i −0.105632 + 0.553744i
\(323\) −23.1225 + 9.15484i −1.28657 + 0.509389i
\(324\) 4.41938 + 13.6015i 0.245521 + 0.755637i
\(325\) −21.8666 13.1203i −1.21294 0.727784i
\(326\) −9.68626 + 29.8113i −0.536473 + 1.65109i
\(327\) −2.00411 31.8545i −0.110828 1.76156i
\(328\) 10.7069 1.35259i 0.591187 0.0746843i
\(329\) −9.36161 + 8.79113i −0.516122 + 0.484671i
\(330\) −1.92760 11.2559i −0.106111 0.619617i
\(331\) 7.82601 + 0.988654i 0.430156 + 0.0543414i 0.337431 0.941350i \(-0.390442\pi\)
0.0927254 + 0.995692i \(0.470442\pi\)
\(332\) 5.08192 15.6406i 0.278907 0.858387i
\(333\) −18.8595 17.7102i −1.03349 0.970514i
\(334\) −2.48690 + 0.638527i −0.136077 + 0.0349386i
\(335\) 0.254634 + 0.146316i 0.0139121 + 0.00799409i
\(336\) −5.63720 6.81420i −0.307534 0.371745i
\(337\) −30.8774 + 7.92796i −1.68200 + 0.431864i −0.964369 0.264562i \(-0.914773\pi\)
−0.717629 + 0.696426i \(0.754773\pi\)
\(338\) 18.4055 22.2484i 1.00113 1.21015i
\(339\) 23.3100 9.22910i 1.26603 0.501256i
\(340\) −23.3139 38.3179i −1.26437 2.07808i
\(341\) −2.78713 4.39182i −0.150932 0.237830i
\(342\) 8.31901 + 43.6098i 0.449841 + 2.35815i
\(343\) 6.16511 + 18.9743i 0.332885 + 1.02451i
\(344\) −2.11265 + 4.48961i −0.113907 + 0.242064i
\(345\) −11.0296 6.33773i −0.593812 0.341212i
\(346\) 43.4383 + 23.8804i 2.33526 + 1.28382i
\(347\) −1.14326 0.628514i −0.0613736 0.0337404i 0.450771 0.892639i \(-0.351149\pi\)
−0.512145 + 0.858899i \(0.671149\pi\)
\(348\) 23.7694 + 28.7323i 1.27417 + 1.54021i
\(349\) −0.730885 0.531019i −0.0391234 0.0284248i 0.568052 0.822993i \(-0.307697\pi\)
−0.607175 + 0.794568i \(0.707697\pi\)
\(350\) −23.7474 10.4562i −1.26935 0.558910i
\(351\) 30.3151 22.0252i 1.61810 1.17562i
\(352\) 5.33069 + 1.36869i 0.284127 + 0.0729513i
\(353\) −0.682533 1.45046i −0.0363276 0.0772000i 0.885840 0.463992i \(-0.153583\pi\)
−0.922167 + 0.386792i \(0.873583\pi\)
\(354\) −9.81006 + 51.4261i −0.521399 + 2.73327i
\(355\) 12.2088 + 15.3388i 0.647976 + 0.814100i
\(356\) −11.3617 10.6694i −0.602170 0.565476i
\(357\) 37.8693 + 27.5137i 2.00426 + 1.45618i
\(358\) 13.5299 28.7525i 0.715078 1.51962i
\(359\) 4.53030 5.47619i 0.239100 0.289022i −0.637290 0.770624i \(-0.719945\pi\)
0.876390 + 0.481602i \(0.159945\pi\)
\(360\) −23.7091 + 8.87285i −1.24958 + 0.467640i
\(361\) −0.367490 5.84108i −0.0193416 0.307425i
\(362\) 1.25397 19.9313i 0.0659072 1.04756i
\(363\) 28.1615 + 11.1499i 1.47809 + 0.585218i
\(364\) 18.6903 29.4512i 0.979639 1.54366i
\(365\) 3.32542 + 2.51337i 0.174061 + 0.131556i
\(366\) 5.98059 95.0587i 0.312610 4.96880i
\(367\) −32.4655 4.10134i −1.69468 0.214088i −0.782150 0.623091i \(-0.785877\pi\)
−0.912533 + 0.409002i \(0.865877\pi\)
\(368\) 2.04349 1.48468i 0.106524 0.0773945i
\(369\) −5.43766 28.5052i −0.283073 1.48392i
\(370\) 15.1673 17.6447i 0.788512 0.917305i
\(371\) 0.130930 + 0.278241i 0.00679757 + 0.0144456i
\(372\) −41.0428 + 38.5418i −2.12797 + 1.99830i
\(373\) −5.99125 + 9.44069i −0.310215 + 0.488821i −0.963286 0.268476i \(-0.913480\pi\)
0.653071 + 0.757296i \(0.273480\pi\)
\(374\) −12.0020 −0.620608
\(375\) 22.1893 23.9232i 1.14585 1.23539i
\(376\) −11.2683 −0.581116
\(377\) 11.9391 18.8130i 0.614896 0.968921i
\(378\) 27.7940 26.1003i 1.42957 1.34246i
\(379\) 11.0053 + 23.3875i 0.565304 + 1.20133i 0.959344 + 0.282240i \(0.0910773\pi\)
−0.394039 + 0.919094i \(0.628923\pi\)
\(380\) −23.0747 + 5.46218i −1.18371 + 0.280204i
\(381\) 6.98448 + 36.6139i 0.357826 + 1.87579i
\(382\) −16.0744 + 11.6787i −0.822436 + 0.597535i
\(383\) −24.1880 3.05566i −1.23595 0.156137i −0.519925 0.854212i \(-0.674040\pi\)
−0.716025 + 0.698075i \(0.754040\pi\)
\(384\) 2.68663 42.7028i 0.137102 2.17917i
\(385\) −3.38106 + 2.36022i −0.172315 + 0.120288i
\(386\) 19.1870 30.2339i 0.976593 1.53886i
\(387\) 12.4053 + 4.91162i 0.630598 + 0.249671i
\(388\) −1.62613 + 25.8466i −0.0825543 + 1.31216i
\(389\) 0.860370 + 13.6752i 0.0436225 + 0.693360i 0.957691 + 0.287799i \(0.0929236\pi\)
−0.914068 + 0.405561i \(0.867076\pi\)
\(390\) 45.9970 + 57.7893i 2.32915 + 2.92628i
\(391\) −8.52194 + 10.3013i −0.430973 + 0.520957i
\(392\) −1.33791 + 2.84320i −0.0675746 + 0.143603i
\(393\) −24.3233 17.6719i −1.22695 0.891431i
\(394\) 21.6673 + 20.3469i 1.09158 + 1.02506i
\(395\) 18.6880 + 5.17639i 0.940295 + 0.260453i
\(396\) −2.38433 + 12.4991i −0.119817 + 0.628103i
\(397\) −5.65062 12.0082i −0.283597 0.602673i 0.711377 0.702811i \(-0.248072\pi\)
−0.994974 + 0.100137i \(0.968072\pi\)
\(398\) −27.7872 7.13454i −1.39285 0.357622i
\(399\) 20.0203 14.5456i 1.00227 0.728190i
\(400\) 2.53527 + 5.96243i 0.126763 + 0.298122i
\(401\) 27.5246 + 19.9978i 1.37451 + 0.998642i 0.997369 + 0.0724867i \(0.0230935\pi\)
0.377143 + 0.926155i \(0.376906\pi\)
\(402\) −0.542196 0.655403i −0.0270423 0.0326885i
\(403\) 29.4810 + 16.2073i 1.46856 + 0.807345i
\(404\) −15.2538 8.38583i −0.758903 0.417210i
\(405\) 4.46793 + 9.97988i 0.222013 + 0.495904i
\(406\) 9.65325 20.5142i 0.479083 1.01810i
\(407\) −1.14260 3.51656i −0.0566365 0.174309i
\(408\) 7.69611 + 40.3444i 0.381014 + 1.99735i
\(409\) −9.61838 15.1561i −0.475598 0.749423i 0.518825 0.854880i \(-0.326369\pi\)
−0.994424 + 0.105457i \(0.966369\pi\)
\(410\) 25.3968 6.01187i 1.25426 0.296905i
\(411\) −22.0247 + 8.72020i −1.08640 + 0.430136i
\(412\) 1.53407 1.85437i 0.0755782 0.0913584i
\(413\) 18.3096 4.70110i 0.900956 0.231326i
\(414\) 15.2135 + 18.3899i 0.747701 + 0.903815i
\(415\) 2.58892 12.3042i 0.127085 0.603990i
\(416\) −34.4776 + 8.85234i −1.69040 + 0.434022i
\(417\) −4.30465 4.04233i −0.210799 0.197954i
\(418\) −1.96073 + 6.03452i −0.0959026 + 0.295158i
\(419\) 16.8295 + 2.12606i 0.822176 + 0.103865i 0.525156 0.851006i \(-0.324007\pi\)
0.297020 + 0.954871i \(0.404007\pi\)
\(420\) 31.9526 + 31.1619i 1.55913 + 1.52055i
\(421\) 5.76089 5.40984i 0.280769 0.263659i −0.531349 0.847153i \(-0.678315\pi\)
0.812118 + 0.583494i \(0.198315\pi\)
\(422\) −31.4329 + 3.97090i −1.53013 + 0.193301i
\(423\) 1.90255 + 30.2402i 0.0925053 + 1.47033i
\(424\) −0.0833783 + 0.256612i −0.00404921 + 0.0124622i
\(425\) −20.8457 27.2300i −1.01116 1.32085i
\(426\) −17.5466 54.0030i −0.850137 2.61645i
\(427\) −31.9760 + 12.6602i −1.54743 + 0.612670i
\(428\) −7.40589 + 38.8230i −0.357977 + 1.87658i
\(429\) 11.6448 1.47108i 0.562215 0.0710242i
\(430\) −3.92292 + 11.3401i −0.189180 + 0.546868i
\(431\) 5.76290 3.16818i 0.277589 0.152606i −0.336878 0.941548i \(-0.609371\pi\)
0.614467 + 0.788942i \(0.289371\pi\)
\(432\) −9.52050 −0.458055
\(433\) −7.11697 + 3.91259i −0.342020 + 0.188027i −0.643501 0.765445i \(-0.722519\pi\)
0.301482 + 0.953472i \(0.402519\pi\)
\(434\) 31.8278 + 12.6015i 1.52778 + 0.604892i
\(435\) 20.4109 + 19.9058i 0.978628 + 0.954411i
\(436\) −30.9799 7.95430i −1.48367 0.380942i
\(437\) 3.78719 + 5.96766i 0.181166 + 0.285472i
\(438\) −6.46919 10.1938i −0.309110 0.487079i
\(439\) −6.07934 1.56091i −0.290151 0.0744982i 0.100809 0.994906i \(-0.467857\pi\)
−0.390960 + 0.920408i \(0.627857\pi\)
\(440\) −3.58026 0.521170i −0.170682 0.0248458i
\(441\) 7.85609 + 3.11045i 0.374100 + 0.148116i
\(442\) 68.0242 37.3966i 3.23558 1.77878i
\(443\) −4.80700 −0.228388 −0.114194 0.993458i \(-0.536428\pi\)
−0.114194 + 0.993458i \(0.536428\pi\)
\(444\) −35.0722 + 19.2811i −1.66445 + 0.915040i
\(445\) −9.50667 7.18520i −0.450659 0.340611i
\(446\) −11.8621 + 1.49853i −0.561687 + 0.0709576i
\(447\) 1.72882 9.06278i 0.0817703 0.428655i
\(448\) −28.0410 + 11.1022i −1.32481 + 0.524531i
\(449\) −9.81187 30.1978i −0.463051 1.42512i −0.861417 0.507898i \(-0.830423\pi\)
0.398367 0.917226i \(-0.369577\pi\)
\(450\) −54.7234 + 27.4459i −2.57969 + 1.29381i
\(451\) 1.28162 3.94442i 0.0603491 0.185736i
\(452\) −1.57752 25.0739i −0.0742001 1.17938i
\(453\) −62.1259 + 7.84832i −2.91893 + 0.368746i
\(454\) −16.2260 + 15.2372i −0.761524 + 0.715118i
\(455\) 11.8089 23.9121i 0.553608 1.12102i
\(456\) 21.5422 + 2.72141i 1.00880 + 0.127442i
\(457\) −8.79209 + 27.0593i −0.411277 + 1.26578i 0.504262 + 0.863550i \(0.331764\pi\)
−0.915539 + 0.402229i \(0.868236\pi\)
\(458\) 30.5921 + 28.7278i 1.42947 + 1.34236i
\(459\) 48.8081 12.5318i 2.27817 0.584933i
\(460\) −9.45577 + 8.54928i −0.440878 + 0.398612i
\(461\) 6.19584 + 7.48949i 0.288569 + 0.348820i 0.894799 0.446469i \(-0.147319\pi\)
−0.606230 + 0.795290i \(0.707319\pi\)
\(462\) 11.5677 2.97008i 0.538178 0.138181i
\(463\) 7.73741 9.35292i 0.359588 0.434667i −0.559433 0.828875i \(-0.688981\pi\)
0.919021 + 0.394208i \(0.128981\pi\)
\(464\) −5.26362 + 2.08402i −0.244357 + 0.0967480i
\(465\) −28.0608 + 32.6441i −1.30129 + 1.51384i
\(466\) 4.58782 + 7.22925i 0.212527 + 0.334889i
\(467\) −5.44796 28.5592i −0.252102 1.32156i −0.852863 0.522134i \(-0.825136\pi\)
0.600762 0.799428i \(-0.294864\pi\)
\(468\) −25.4317 78.2708i −1.17558 3.61807i
\(469\) −0.130770 + 0.277901i −0.00603841 + 0.0128323i
\(470\) −27.0953 + 2.90416i −1.24982 + 0.133959i
\(471\) 8.00075 + 4.39845i 0.368655 + 0.202670i
\(472\) 14.5349 + 7.99064i 0.669024 + 0.367799i
\(473\) 1.21548 + 1.46927i 0.0558880 + 0.0675569i
\(474\) −45.4390 33.0134i −2.08708 1.51635i
\(475\) −17.0966 + 6.03257i −0.784444 + 0.276794i
\(476\) 37.9492 27.5717i 1.73940 1.26375i
\(477\) 0.702739 + 0.180433i 0.0321762 + 0.00826144i
\(478\) −26.3920 56.0859i −1.20714 2.56531i
\(479\) 4.81897 25.2619i 0.220184 1.15425i −0.684777 0.728752i \(-0.740101\pi\)
0.904962 0.425493i \(-0.139899\pi\)
\(480\) −2.00083 45.5027i −0.0913251 2.07690i
\(481\) 17.4331 + 16.3707i 0.794879 + 0.746441i
\(482\) 19.4250 + 14.1131i 0.884786 + 0.642835i
\(483\) 5.66437 12.0374i 0.257738 0.547720i
\(484\) 19.3473 23.3869i 0.879423 1.06304i
\(485\) 0.869822 + 19.7814i 0.0394966 + 0.898226i
\(486\) 1.08270 + 17.2090i 0.0491121 + 0.780615i
\(487\) −0.134611 + 2.13959i −0.00609982 + 0.0969539i −0.999899 0.0142394i \(-0.995467\pi\)
0.993799 + 0.111193i \(0.0354673\pi\)
\(488\) −28.0569 11.1085i −1.27008 0.502859i
\(489\) 22.0885 34.8060i 0.998878 1.57398i
\(490\) −2.48432 + 7.18150i −0.112230 + 0.324427i
\(491\) −1.34348 + 21.3540i −0.0606303 + 0.963691i 0.843688 + 0.536833i \(0.180380\pi\)
−0.904319 + 0.426858i \(0.859620\pi\)
\(492\) −44.5384 5.62650i −2.00794 0.253662i
\(493\) 24.2414 17.6124i 1.09178 0.793225i
\(494\) −7.68982 40.3114i −0.345981 1.81370i
\(495\) −0.794146 + 9.69622i −0.0356942 + 0.435813i
\(496\) −3.63940 7.73411i −0.163414 0.347272i
\(497\) −14.9457 + 14.0350i −0.670407 + 0.629554i
\(498\) −19.5138 + 30.7488i −0.874433 + 1.37789i
\(499\) 0.676957 0.0303047 0.0151524 0.999885i \(-0.495177\pi\)
0.0151524 + 0.999885i \(0.495177\pi\)
\(500\) −15.9289 28.5561i −0.712364 1.27707i
\(501\) 3.37668 0.150859
\(502\) −5.02634 + 7.92024i −0.224336 + 0.353498i
\(503\) −4.43188 + 4.16181i −0.197608 + 0.185566i −0.777034 0.629459i \(-0.783277\pi\)
0.579426 + 0.815025i \(0.303277\pi\)
\(504\) −11.2724 23.9550i −0.502111 1.06704i
\(505\) −12.2794 5.13210i −0.546425 0.228375i
\(506\) 0.639170 + 3.35065i 0.0284146 + 0.148954i
\(507\) −30.7216 + 22.3206i −1.36440 + 0.991292i
\(508\) 37.0583 + 4.68155i 1.64419 + 0.207710i
\(509\) −1.64675 + 26.1744i −0.0729911 + 1.16016i 0.775640 + 0.631175i \(0.217427\pi\)
−0.848631 + 0.528985i \(0.822573\pi\)
\(510\) 28.9038 + 95.0276i 1.27988 + 4.20789i
\(511\) −2.33586 + 3.68072i −0.103332 + 0.162825i
\(512\) 13.3531 + 5.28688i 0.590131 + 0.233649i
\(513\) 1.67275 26.5876i 0.0738538 1.17387i
\(514\) −0.665723 10.5814i −0.0293638 0.466724i
\(515\) 1.01512 1.53471i 0.0447315 0.0676275i
\(516\) 13.1566 15.9036i 0.579188 0.700118i
\(517\) −1.84382 + 3.91831i −0.0810910 + 0.172327i
\(518\) 19.6863 + 14.3029i 0.864965 + 0.628434i
\(519\) −47.5219 44.6261i −2.08598 1.95887i
\(520\) 21.9159 8.20177i 0.961076 0.359671i
\(521\) 1.31144 6.87479i 0.0574551 0.301190i −0.941947 0.335761i \(-0.891007\pi\)
0.999402 + 0.0345711i \(0.0110065\pi\)
\(522\) −22.7759 48.4012i −0.996872 2.11846i
\(523\) −13.7811 3.53837i −0.602603 0.154722i −0.0649504 0.997888i \(-0.520689\pi\)
−0.537653 + 0.843166i \(0.680689\pi\)
\(524\) −24.3747 + 17.7092i −1.06481 + 0.773631i
\(525\) 26.8299 + 21.0861i 1.17095 + 0.920272i
\(526\) 12.5082 + 9.08776i 0.545385 + 0.396245i
\(527\) 28.8382 + 34.8594i 1.25621 + 1.51850i
\(528\) −2.61326 1.43665i −0.113728 0.0625223i
\(529\) −16.8254 9.24982i −0.731538 0.402166i
\(530\) −0.134353 + 0.638532i −0.00583592 + 0.0277361i
\(531\) 18.9901 40.3560i 0.824100 1.75130i
\(532\) −7.66320 23.5849i −0.332242 1.02254i
\(533\) 5.02640 + 26.3493i 0.217717 + 1.14131i
\(534\) 18.4940 + 29.1419i 0.800314 + 1.26109i
\(535\) −2.46667 + 30.1171i −0.106644 + 1.30208i
\(536\) −0.250564 + 0.0992052i −0.0108227 + 0.00428501i
\(537\) −26.6384 + 32.2002i −1.14953 + 1.38954i
\(538\) −36.5040 + 9.37263i −1.57380 + 0.404083i
\(539\) 0.769745 + 0.930462i 0.0331553 + 0.0400778i
\(540\) 47.7742 5.12057i 2.05587 0.220354i
\(541\) 30.6431 7.86781i 1.31745 0.338264i 0.476404 0.879227i \(-0.341940\pi\)
0.841046 + 0.540963i \(0.181940\pi\)
\(542\) 26.4632 + 24.8506i 1.13669 + 1.06743i
\(543\) −8.11603 + 24.9786i −0.348292 + 1.07193i
\(544\) −47.4914 5.99956i −2.03618 0.257229i
\(545\) −24.1994 3.52265i −1.03659 0.150894i
\(546\) −56.3083 + 52.8770i −2.40977 + 2.26293i
\(547\) 22.6128 2.85666i 0.966854 0.122142i 0.373980 0.927437i \(-0.377993\pi\)
0.592875 + 0.805295i \(0.297993\pi\)
\(548\) 1.49053 + 23.6913i 0.0636723 + 1.01204i
\(549\) −25.0743 + 77.1709i −1.07015 + 3.29357i
\(550\) −8.74333 0.330452i −0.372817 0.0140905i
\(551\) −4.89515 15.0657i −0.208540 0.641821i
\(552\) 10.8533 4.29711i 0.461946 0.182897i
\(553\) −3.80009 + 19.9208i −0.161596 + 0.847117i
\(554\) 6.90022 0.871700i 0.293162 0.0370350i
\(555\) −25.0912 + 17.5154i −1.06506 + 0.743489i
\(556\) −5.18561 + 2.85082i −0.219919 + 0.120902i
\(557\) 4.49599 0.190501 0.0952505 0.995453i \(-0.469635\pi\)
0.0952505 + 0.995453i \(0.469635\pi\)
\(558\) 70.7758 38.9094i 2.99618 1.64716i
\(559\) −11.4671 4.54014i −0.485006 0.192027i
\(560\) −5.99833 + 3.15157i −0.253476 + 0.133178i
\(561\) 15.2883 + 3.92536i 0.645472 + 0.165729i
\(562\) −17.9055 28.2146i −0.755299 1.19016i
\(563\) −17.8394 28.1103i −0.751839 1.18471i −0.977589 0.210523i \(-0.932483\pi\)
0.225750 0.974185i \(-0.427517\pi\)
\(564\) 45.4011 + 11.6570i 1.91173 + 0.490849i
\(565\) −3.24231 18.9329i −0.136405 0.796514i
\(566\) 26.3136 + 10.4183i 1.10604 + 0.437913i
\(567\) −10.0208 + 5.50899i −0.420835 + 0.231356i
\(568\) −17.9896 −0.754829
\(569\) −5.53870 + 3.04493i −0.232194 + 0.127650i −0.593604 0.804757i \(-0.702296\pi\)
0.361410 + 0.932407i \(0.382296\pi\)
\(570\) 52.5011 + 0.991780i 2.19903 + 0.0415411i
\(571\) 31.0465 3.92209i 1.29926 0.164134i 0.554900 0.831917i \(-0.312756\pi\)
0.744356 + 0.667783i \(0.232756\pi\)
\(572\) 2.20400 11.5537i 0.0921537 0.483086i
\(573\) 24.2954 9.61921i 1.01495 0.401848i
\(574\) 8.43439 + 25.9584i 0.352045 + 1.08348i
\(575\) −6.49177 + 7.26973i −0.270726 + 0.303169i
\(576\) −21.9887 + 67.6741i −0.916194 + 2.81975i
\(577\) −0.526184 8.36345i −0.0219053 0.348175i −0.993679 0.112260i \(-0.964191\pi\)
0.971774 0.235915i \(-0.0758088\pi\)
\(578\) 66.1390 8.35530i 2.75102 0.347535i
\(579\) −34.3289 + 32.2370i −1.42666 + 1.33972i
\(580\) 25.2921 13.2887i 1.05020 0.551782i
\(581\) 13.0459 + 1.64808i 0.541237 + 0.0683741i
\(582\) 17.7221 54.5430i 0.734605 2.26088i
\(583\) 0.0755887 + 0.0709825i 0.00313056 + 0.00293979i
\(584\) −3.70487 + 0.951250i −0.153309 + 0.0393630i
\(585\) −25.7111 57.4301i −1.06302 2.37444i
\(586\) 2.70984 + 3.27563i 0.111942 + 0.135315i
\(587\) 11.5116 2.95568i 0.475135 0.121994i −0.00352601 0.999994i \(-0.501122\pi\)
0.478661 + 0.878000i \(0.341122\pi\)
\(588\) 8.33187 10.0715i 0.343601 0.415342i
\(589\) 22.2383 8.80475i 0.916312 0.362794i
\(590\) 37.0097 + 15.4680i 1.52367 + 0.636808i
\(591\) −20.9454 33.0046i −0.861578 1.35763i
\(592\) −1.13854 5.96845i −0.0467938 0.245302i
\(593\) 11.7386 + 36.1277i 0.482046 + 1.48359i 0.836214 + 0.548404i \(0.184764\pi\)
−0.354167 + 0.935182i \(0.615236\pi\)
\(594\) 5.47418 11.6332i 0.224608 0.477317i
\(595\) 26.6028 24.0525i 1.09061 0.986056i
\(596\) −8.10204 4.45414i −0.331873 0.182448i
\(597\) 33.0623 + 18.1761i 1.35315 + 0.743900i
\(598\) −14.0628 16.9990i −0.575071 0.695142i
\(599\) 23.4114 + 17.0094i 0.956563 + 0.694984i 0.952350 0.305008i \(-0.0986590\pi\)
0.00421282 + 0.999991i \(0.498659\pi\)
\(600\) 4.49573 + 29.6024i 0.183537 + 1.20851i
\(601\) 36.8972 26.8073i 1.50507 1.09349i 0.536758 0.843736i \(-0.319649\pi\)
0.968308 0.249758i \(-0.0803512\pi\)
\(602\) −12.1549 3.12085i −0.495397 0.127196i
\(603\) 0.308539 + 0.655679i 0.0125647 + 0.0267013i
\(604\) −11.7585 + 61.6403i −0.478447 + 2.50811i
\(605\) 12.8024 19.3554i 0.520493 0.786909i
\(606\) 28.0997 + 26.3873i 1.14147 + 1.07191i
\(607\) 19.7942 + 14.3813i 0.803422 + 0.583720i 0.911916 0.410377i \(-0.134603\pi\)
−0.108494 + 0.994097i \(0.534603\pi\)
\(608\) −10.7751 + 22.8982i −0.436987 + 0.928645i
\(609\) −19.0058 + 22.9740i −0.770153 + 0.930955i
\(610\) −70.3279 19.4801i −2.84749 0.788728i
\(611\) −1.75866 27.9531i −0.0711477 1.13086i
\(612\) 6.94929 110.456i 0.280908 4.46491i
\(613\) −14.1308 5.59476i −0.570736 0.225970i 0.0649891 0.997886i \(-0.479299\pi\)
−0.635725 + 0.771916i \(0.719299\pi\)
\(614\) −14.0754 + 22.1793i −0.568039 + 0.895086i
\(615\) −34.3170 0.648270i −1.38380 0.0261408i
\(616\) 0.237583 3.77627i 0.00957249 0.152150i
\(617\) 16.8534 + 2.12908i 0.678494 + 0.0857137i 0.457025 0.889454i \(-0.348915\pi\)
0.221469 + 0.975167i \(0.428915\pi\)
\(618\) −4.31167 + 3.13261i −0.173441 + 0.126012i
\(619\) 6.44109 + 33.7654i 0.258889 + 1.35715i 0.839675 + 0.543089i \(0.182745\pi\)
−0.580786 + 0.814057i \(0.697255\pi\)
\(620\) 22.4224 + 36.8526i 0.900504 + 1.48003i
\(621\) −6.09784 12.9586i −0.244698 0.520010i
\(622\) −51.1751 + 48.0566i −2.05193 + 1.92689i
\(623\) 6.67771 10.5224i 0.267537 0.421571i
\(624\) 19.2877 0.772126
\(625\) −14.4361 20.4107i −0.577446 0.816429i
\(626\) −62.4304 −2.49522
\(627\) 4.47125 7.04556i 0.178565 0.281373i
\(628\) 6.66959 6.26316i 0.266146 0.249927i
\(629\) 13.6931 + 29.0994i 0.545980 + 1.16027i
\(630\) −33.2791 54.6963i −1.32587 2.17915i
\(631\) 3.65334 + 19.1515i 0.145437 + 0.762408i 0.978021 + 0.208509i \(0.0668609\pi\)
−0.832583 + 0.553900i \(0.813139\pi\)
\(632\) −14.3960 + 10.4593i −0.572640 + 0.416047i
\(633\) 41.3384 + 5.22225i 1.64305 + 0.207566i
\(634\) −0.983217 + 15.6278i −0.0390485 + 0.620659i
\(635\) 28.5536 + 0.539395i 1.13311 + 0.0214052i
\(636\) 0.601406 0.947664i 0.0238473 0.0375773i
\(637\) −7.26191 2.87519i −0.287727 0.113919i
\(638\) 0.480037 7.62998i 0.0190049 0.302074i
\(639\) 3.03741 + 48.2782i 0.120158 + 1.90986i
\(640\) −31.5931 8.75099i −1.24883 0.345913i
\(641\) −9.46974 + 11.4470i −0.374032 + 0.452128i −0.923620 0.383308i \(-0.874785\pi\)
0.549588 + 0.835436i \(0.314785\pi\)
\(642\) 37.2655 79.1932i 1.47075 3.12551i
\(643\) −27.7119 20.1338i −1.09285 0.794001i −0.112971 0.993598i \(-0.536037\pi\)
−0.979878 + 0.199597i \(0.936037\pi\)
\(644\) −9.71831 9.12610i −0.382955 0.359619i
\(645\) 8.70595 13.1621i 0.342796 0.518258i
\(646\) 10.3412 54.2102i 0.406867 2.13287i
\(647\) −16.7263 35.5452i −0.657578 1.39742i −0.903692 0.428184i \(-0.859154\pi\)
0.246114 0.969241i \(-0.420846\pi\)
\(648\) −9.71849 2.49528i −0.381778 0.0980240i
\(649\) 5.15693 3.74673i 0.202427 0.147072i
\(650\) 50.5845 25.3701i 1.98409 0.995098i
\(651\) −36.4212 26.4615i −1.42746 1.03711i
\(652\) −26.3321 31.8301i −1.03125 1.24656i
\(653\) −0.111489 0.0612914i −0.00436289 0.00239852i 0.479571 0.877503i \(-0.340792\pi\)
−0.483934 + 0.875105i \(0.660792\pi\)
\(654\) 62.0685 + 34.1224i 2.42707 + 1.33429i
\(655\) −17.0869 + 15.4488i −0.667641 + 0.603636i
\(656\) 2.90184 6.16672i 0.113298 0.240770i
\(657\) 3.17837 + 9.78203i 0.124000 + 0.381633i
\(658\) −5.34016 27.9941i −0.208181 1.09132i
\(659\) −5.80161 9.14187i −0.225998 0.356117i 0.712340 0.701835i \(-0.247635\pi\)
−0.938338 + 0.345718i \(0.887635\pi\)
\(660\) 13.8861 + 5.80363i 0.540517 + 0.225906i
\(661\) −0.561358 + 0.222257i −0.0218343 + 0.00864481i −0.379016 0.925390i \(-0.623738\pi\)
0.357182 + 0.934035i \(0.383738\pi\)
\(662\) −11.1582 + 13.4879i −0.433675 + 0.524223i
\(663\) −98.8809 + 25.3883i −3.84022 + 0.986000i
\(664\) 7.35456 + 8.89014i 0.285412 + 0.345004i
\(665\) −7.74739 17.3051i −0.300431 0.671063i
\(666\) 55.6089 14.2779i 2.15480 0.553259i
\(667\) −6.20793 5.82963i −0.240372 0.225724i
\(668\) 1.04565 3.21819i 0.0404575 0.124515i
\(669\) 15.6002 + 1.97076i 0.603139 + 0.0761941i
\(670\) −0.576931 + 0.303124i −0.0222888 + 0.0117107i
\(671\) −8.45370 + 7.93855i −0.326351 + 0.306464i
\(672\) 47.2576 5.97002i 1.82300 0.230298i
\(673\) −2.61067 41.4954i −0.100634 1.59953i −0.647336 0.762205i \(-0.724117\pi\)
0.546702 0.837327i \(-0.315883\pi\)
\(674\) 21.8611 67.2816i 0.842059 2.59159i
\(675\) 35.9012 7.78543i 1.38184 0.299662i
\(676\) 11.7594 + 36.1917i 0.452284 + 1.39199i
\(677\) 21.4764 8.50311i 0.825406 0.326801i 0.0828303 0.996564i \(-0.473604\pi\)
0.742575 + 0.669762i \(0.233604\pi\)
\(678\) −10.4250 + 54.6499i −0.400371 + 2.09882i
\(679\) −20.5443 + 2.59535i −0.788417 + 0.0996003i
\(680\) 31.4628 + 0.594352i 1.20654 + 0.0227924i
\(681\) 25.6523 14.1025i 0.983000 0.540409i
\(682\) 11.5430 0.442005
\(683\) −33.2211 + 18.2635i −1.27117 + 0.698832i −0.967240 0.253862i \(-0.918299\pi\)
−0.303930 + 0.952694i \(0.598299\pi\)
\(684\) −54.4011 21.5389i −2.08008 0.823561i
\(685\) 3.06352 + 17.8889i 0.117051 + 0.683501i
\(686\) −42.8827 11.0104i −1.63727 0.420379i
\(687\) −29.5728 46.5993i −1.12827 1.77787i
\(688\) 1.67902 + 2.64572i 0.0640121 + 0.100867i
\(689\) −0.649589 0.166786i −0.0247474 0.00635404i
\(690\) 24.9900 13.1299i 0.951352 0.499848i
\(691\) −35.9136 14.2192i −1.36622 0.540923i −0.433376 0.901213i \(-0.642678\pi\)
−0.932840 + 0.360290i \(0.882678\pi\)
\(692\) −57.2475 + 31.4721i −2.17622 + 1.19639i
\(693\) −10.1744 −0.386492
\(694\) 2.53707 1.39477i 0.0963060 0.0529446i
\(695\) −3.70987 + 2.58975i −0.140723 + 0.0982350i
\(696\) −25.9558 + 3.27898i −0.983852 + 0.124289i
\(697\) −6.75942 + 35.4341i −0.256031 + 1.34216i
\(698\) 1.86405 0.738028i 0.0705552 0.0279348i
\(699\) −3.47963 10.7092i −0.131612 0.405059i
\(700\) 28.4047 19.0409i 1.07360 0.719677i
\(701\) −11.0748 + 34.0849i −0.418291 + 1.28737i 0.490983 + 0.871169i \(0.336638\pi\)
−0.909274 + 0.416199i \(0.863362\pi\)
\(702\) 5.22135 + 82.9909i 0.197067 + 3.13229i
\(703\) 16.8680 2.13092i 0.636187 0.0803691i
\(704\) −7.41337 + 6.96162i −0.279402 + 0.262376i
\(705\) 35.4642 + 5.16243i 1.33566 + 0.194428i
\(706\) 3.52929 + 0.445853i 0.132827 + 0.0167799i
\(707\) 4.30101 13.2372i 0.161756 0.497835i
\(708\) −50.2965 47.2316i −1.89026 1.77507i
\(709\) −33.1597 + 8.51396i −1.24534 + 0.319749i −0.813160 0.582040i \(-0.802255\pi\)
−0.432178 + 0.901788i \(0.642255\pi\)
\(710\) −43.2574 + 4.63646i −1.62342 + 0.174003i
\(711\) 30.4998 + 36.8680i 1.14383 + 1.38266i
\(712\) 10.5914 2.71942i 0.396931 0.101915i
\(713\) 8.19606 9.90733i 0.306945 0.371032i
\(714\) −96.5818 + 38.2394i −3.61448 + 1.43107i
\(715\) 0.734083 8.96287i 0.0274531 0.335192i
\(716\) 22.4398 + 35.3595i 0.838615 + 1.32145i
\(717\) 15.2751 + 80.0747i 0.570458 + 2.99045i
\(718\) 4.87379 + 15.0000i 0.181888 + 0.559795i
\(719\) 13.1828 28.0149i 0.491636 1.04478i −0.492978 0.870042i \(-0.664092\pi\)
0.984615 0.174739i \(-0.0559082\pi\)
\(720\) −3.29173 + 15.6444i −0.122675 + 0.583033i
\(721\) 1.68632 + 0.927064i 0.0628019 + 0.0345257i
\(722\) 11.3814 + 6.25695i 0.423570 + 0.232860i
\(723\) −20.1280 24.3306i −0.748569 0.904864i
\(724\) 21.2929 + 15.4702i 0.791343 + 0.574945i
\(725\) 18.1446 12.1630i 0.673872 0.451724i
\(726\) −54.3777 + 39.5077i −2.01815 + 1.46627i
\(727\) 32.6817 + 8.39124i 1.21210 + 0.311214i 0.800041 0.599945i \(-0.204811\pi\)
0.412056 + 0.911158i \(0.364811\pi\)
\(728\) 10.4198 + 22.1432i 0.386184 + 0.820682i
\(729\) 6.99809 36.6853i 0.259188 1.35871i
\(730\) −8.66348 + 3.24221i −0.320650 + 0.119999i
\(731\) −12.0903 11.3535i −0.447175 0.419925i
\(732\) 101.553 + 73.7823i 3.75349 + 2.72707i
\(733\) 21.7440 46.2084i 0.803134 1.70675i 0.100791 0.994908i \(-0.467863\pi\)
0.702343 0.711839i \(-0.252137\pi\)
\(734\) 46.2887 55.9534i 1.70855 2.06528i
\(735\) 5.51334 8.33536i 0.203362 0.307454i
\(736\) 0.854248 + 13.5779i 0.0314880 + 0.500487i
\(737\) −0.00650295 + 0.103361i −0.000239539 + 0.00380737i
\(738\) 59.8758 + 23.7065i 2.20406 + 0.872649i
\(739\) 3.38615 5.33571i 0.124561 0.196277i −0.776324 0.630334i \(-0.782918\pi\)
0.900886 + 0.434056i \(0.142918\pi\)
\(740\) 8.92335 + 29.3375i 0.328029 + 1.07847i
\(741\) −3.38885 + 53.8642i −0.124493 + 1.97875i
\(742\) −0.677025 0.0855281i −0.0248544 0.00313983i
\(743\) −9.80461 + 7.12347i −0.359696 + 0.261335i −0.752925 0.658106i \(-0.771358\pi\)
0.393229 + 0.919441i \(0.371358\pi\)
\(744\) −7.40180 38.8016i −0.271363 1.42254i
\(745\) −6.52219 2.72591i −0.238955 0.0998698i
\(746\) −10.5649 22.4515i −0.386807 0.822007i
\(747\) 22.6164 21.2382i 0.827491 0.777065i
\(748\) 8.47543 13.3551i 0.309892 0.488312i
\(749\) −31.6023 −1.15472
\(750\) 18.4397 + 70.0224i 0.673323 + 2.55686i
\(751\) −22.3012 −0.813783 −0.406892 0.913476i \(-0.633387\pi\)
−0.406892 + 0.913476i \(0.633387\pi\)
\(752\) −3.81303 + 6.00837i −0.139047 + 0.219103i
\(753\) 8.99300 8.44499i 0.327723 0.307753i
\(754\) 21.0533 + 44.7404i 0.766714 + 1.62935i
\(755\) −3.91640 + 47.8177i −0.142532 + 1.74026i
\(756\) 9.41570 + 49.3588i 0.342446 + 1.79516i
\(757\) 13.9318 10.1220i 0.506359 0.367891i −0.305082 0.952326i \(-0.598684\pi\)
0.811441 + 0.584435i \(0.198684\pi\)
\(758\) −56.9070 7.18903i −2.06696 0.261117i
\(759\) 0.281678 4.47714i 0.0102243 0.162510i
\(760\) 5.43883 15.7222i 0.197287 0.570303i
\(761\) 18.9806 29.9086i 0.688045 1.08419i −0.303299 0.952895i \(-0.598088\pi\)
0.991344 0.131290i \(-0.0419119\pi\)
\(762\) −76.9083 30.4501i −2.78609 1.10309i
\(763\) 1.60585 25.5243i 0.0581357 0.924041i
\(764\) −1.64420 26.1338i −0.0594850 0.945487i
\(765\) −3.71720 84.5360i −0.134396 3.05640i
\(766\) 34.4869 41.6874i 1.24606 1.50623i
\(767\) −17.5538 + 37.3038i −0.633832 + 1.34696i
\(768\) 15.9169 + 11.5643i 0.574353 + 0.417292i
\(769\) 21.0722 + 19.7881i 0.759883 + 0.713578i 0.964156 0.265336i \(-0.0854829\pi\)
−0.204273 + 0.978914i \(0.565483\pi\)
\(770\) −0.401971 9.14156i −0.0144860 0.329439i
\(771\) −2.61273 + 13.6964i −0.0940951 + 0.493264i
\(772\) 20.0933 + 42.7004i 0.723174 + 1.53682i
\(773\) 12.1285 + 3.11407i 0.436232 + 0.112005i 0.460418 0.887702i \(-0.347699\pi\)
−0.0241862 + 0.999707i \(0.507699\pi\)
\(774\) −23.9538 + 17.4034i −0.861001 + 0.625553i
\(775\) 20.0485 + 26.1887i 0.720165 + 0.940726i
\(776\) −14.6995 10.6798i −0.527680 0.383382i
\(777\) −20.3987 24.6578i −0.731800 0.884594i
\(778\) −26.6461 14.6488i −0.955310 0.525186i
\(779\) 16.7118 + 9.18737i 0.598761 + 0.329172i
\(780\) −96.7863 + 10.3738i −3.46551 + 0.371443i
\(781\) −2.94364 + 6.25555i −0.105332 + 0.223841i
\(782\) −9.16810 28.2165i −0.327851 1.00902i
\(783\) 6.01462 + 31.5298i 0.214945 + 1.12678i
\(784\) 1.06330 + 1.67549i 0.0379749 + 0.0598389i
\(785\) 4.55996 5.30477i 0.162752 0.189335i
\(786\) 62.0341 24.5611i 2.21268 0.876064i
\(787\) 24.4792 29.5903i 0.872590 1.05478i −0.125443 0.992101i \(-0.540035\pi\)
0.998034 0.0626798i \(-0.0199647\pi\)
\(788\) −37.9416 + 9.74176i −1.35161 + 0.347036i
\(789\) −12.9609 15.6670i −0.461420 0.557761i
\(790\) −31.9205 + 28.8603i −1.13568 + 1.02681i
\(791\) 19.4574 4.99581i 0.691825 0.177630i
\(792\) −6.50776 6.11119i −0.231243 0.217152i
\(793\) 23.1779 71.3342i 0.823071 2.53315i
\(794\) 29.2187 + 3.69117i 1.03693 + 0.130995i
\(795\) 0.379978 0.769428i 0.0134764 0.0272888i
\(796\) 27.5614 25.8818i 0.976887 0.917358i
\(797\) −35.3326 + 4.46354i −1.25154 + 0.158107i −0.723029 0.690817i \(-0.757251\pi\)
−0.528515 + 0.848924i \(0.677251\pi\)
\(798\) 3.44821 + 54.8077i 0.122065 + 1.94017i
\(799\) 11.6392 35.8217i 0.411765 1.26728i
\(800\) −34.4318 5.67820i −1.21735 0.200755i
\(801\) −9.08629 27.9647i −0.321048 0.988085i
\(802\) −70.1986 + 27.7936i −2.47880 + 0.981426i
\(803\) −0.275448 + 1.44395i −0.00972035 + 0.0509559i
\(804\) 1.11218 0.140501i 0.0392234 0.00495507i
\(805\) −8.13158 6.14590i −0.286601 0.216615i
\(806\) −65.4229 + 35.9665i −2.30442 + 1.26687i
\(807\) 49.5646 1.74476
\(808\) 10.7019 5.88340i 0.376490 0.206977i
\(809\) −17.8609 7.07163i −0.627956 0.248625i 0.0325217 0.999471i \(-0.489646\pi\)
−0.660478 + 0.750846i \(0.729646\pi\)
\(810\) −24.0119 3.49535i −0.843693 0.122814i
\(811\) 9.13188 + 2.34467i 0.320664 + 0.0823324i 0.405591 0.914055i \(-0.367066\pi\)
−0.0849272 + 0.996387i \(0.527066\pi\)
\(812\) 16.0102 + 25.2281i 0.561849 + 0.885332i
\(813\) −25.5815 40.3100i −0.897184 1.41374i
\(814\) 7.94758 + 2.04059i 0.278562 + 0.0715227i
\(815\) −22.6115 22.0520i −0.792048 0.772448i
\(816\) 24.1164 + 9.54835i 0.844242 + 0.334259i
\(817\) −7.68362 + 4.22411i −0.268816 + 0.147783i
\(818\) 39.8350 1.39280
\(819\) 57.6657 31.7020i 2.01500 1.10776i
\(820\) −11.2448 + 32.5055i −0.392684 + 1.13514i
\(821\) −42.6970 + 5.39389i −1.49014 + 0.188248i −0.827828 0.560983i \(-0.810423\pi\)
−0.662309 + 0.749231i \(0.730423\pi\)
\(822\) 9.85018 51.6365i 0.343565 1.80103i
\(823\) 42.1924 16.7052i 1.47074 0.582306i 0.510100 0.860115i \(-0.329608\pi\)
0.960636 + 0.277810i \(0.0896085\pi\)
\(824\) 0.521773 + 1.60585i 0.0181768 + 0.0559426i
\(825\) 11.0293 + 3.28052i 0.383990 + 0.114213i
\(826\) −12.9632 + 39.8965i −0.451046 + 1.38818i
\(827\) 3.16433 + 50.2956i 0.110035 + 1.74895i 0.536008 + 0.844213i \(0.319932\pi\)
−0.425973 + 0.904736i \(0.640068\pi\)
\(828\) −31.2065 + 3.94230i −1.08450 + 0.137004i
\(829\) 37.5785 35.2886i 1.30516 1.22562i 0.347510 0.937676i \(-0.387027\pi\)
0.957646 0.287947i \(-0.0929727\pi\)
\(830\) 19.9758 + 19.4815i 0.693371 + 0.676213i
\(831\) −9.07468 1.14640i −0.314797 0.0397681i
\(832\) 20.3256 62.5557i 0.704663 2.16873i
\(833\) −7.65657 7.18999i −0.265284 0.249119i
\(834\) 12.6926 3.25892i 0.439510 0.112847i
\(835\) 0.532693 2.53170i 0.0184346 0.0876131i
\(836\) −5.33026 6.44318i −0.184351 0.222842i
\(837\) −46.9416 + 12.0526i −1.62254 + 0.416597i
\(838\) −23.9952 + 29.0053i −0.828901 + 1.00197i
\(839\) −31.1684 + 12.3404i −1.07605 + 0.426039i −0.838256 0.545277i \(-0.816425\pi\)
−0.237795 + 0.971315i \(0.576425\pi\)
\(840\) −30.4714 + 7.21311i −1.05136 + 0.248876i
\(841\) −5.31187 8.37016i −0.183168 0.288626i
\(842\) 3.28620 + 17.2269i 0.113250 + 0.593677i
\(843\) 13.5804 + 41.7963i 0.467735 + 1.43954i
\(844\) 17.7784 37.7809i 0.611956 1.30047i
\(845\) 11.8886 + 26.5551i 0.408979 + 0.913524i
\(846\) −58.9231 32.3932i −2.02582 1.11370i
\(847\) 21.2675 + 11.6919i 0.730759 + 0.401738i
\(848\) 0.108615 + 0.131292i 0.00372984 + 0.00450860i
\(849\) −30.1111 21.8770i −1.03341 0.750817i
\(850\) 75.8078 6.67972i 2.60019 0.229113i
\(851\) 7.39456 5.37246i 0.253482 0.184166i
\(852\) 72.4823 + 18.6103i 2.48320 + 0.637578i
\(853\) 21.3135 + 45.2936i 0.729761 + 1.55082i 0.831196 + 0.555980i \(0.187657\pi\)
−0.101434 + 0.994842i \(0.532343\pi\)
\(854\) 14.3008 74.9672i 0.489362 2.56532i
\(855\) −43.1114 11.9414i −1.47438 0.408388i
\(856\) −20.2135 18.9818i −0.690885 0.648784i
\(857\) −39.7978 28.9148i −1.35947 0.987711i −0.998479 0.0551409i \(-0.982439\pi\)
−0.360989 0.932570i \(-0.617561\pi\)
\(858\) −11.0902 + 23.5679i −0.378614 + 0.804595i
\(859\) 1.01747 1.22991i 0.0347157 0.0419640i −0.752870 0.658170i \(-0.771331\pi\)
0.787585 + 0.616206i \(0.211331\pi\)
\(860\) −9.84838 12.3732i −0.335827 0.421923i
\(861\) −2.25390 35.8247i −0.0768126 1.22090i
\(862\) −0.916358 + 14.5651i −0.0312113 + 0.496089i
\(863\) −1.59943 0.633257i −0.0544451 0.0215563i 0.340744 0.940156i \(-0.389321\pi\)
−0.395189 + 0.918600i \(0.629321\pi\)
\(864\) 27.4763 43.2958i 0.934764 1.47295i
\(865\) −40.9558 + 28.5901i −1.39254 + 0.972091i
\(866\) 1.13167 17.9874i 0.0384557 0.611236i
\(867\) −86.9814 10.9883i −2.95404 0.373182i
\(868\) −36.4980 + 26.5174i −1.23882 + 0.900058i
\(869\) 1.28140 + 6.71735i 0.0434686 + 0.227871i
\(870\) −61.5675 + 14.5741i −2.08734 + 0.494109i
\(871\) −0.285203 0.606088i −0.00966375 0.0205365i
\(872\) 16.3582 15.3614i 0.553958 0.520201i
\(873\) −26.1791 + 41.2517i −0.886029 + 1.39616i
\(874\) −15.6848 −0.530547
\(875\) 20.0421 16.7895i 0.677547 0.567590i
\(876\) 15.9114 0.537597
\(877\) −4.32670 + 6.81778i −0.146102 + 0.230220i −0.909496 0.415714i \(-0.863532\pi\)
0.763393 + 0.645934i \(0.223532\pi\)
\(878\) 10.1535 9.53476i 0.342664 0.321783i
\(879\) −2.38050 5.05881i −0.0802921 0.170629i
\(880\) −1.48941 + 1.73268i −0.0502079 + 0.0584087i
\(881\) 7.16346 + 37.5522i 0.241343 + 1.26517i 0.872155 + 0.489230i \(0.162722\pi\)
−0.630812 + 0.775936i \(0.717278\pi\)
\(882\) −15.1695 + 11.0213i −0.510785 + 0.371107i
\(883\) 42.1434 + 5.32394i 1.41824 + 0.179165i 0.796773 0.604278i \(-0.206538\pi\)
0.621463 + 0.783443i \(0.286538\pi\)
\(884\) −6.42370 + 102.102i −0.216052 + 3.43405i
\(885\) −42.0845 31.8077i −1.41465 1.06920i
\(886\) 5.71591 9.00684i 0.192030 0.302591i
\(887\) 39.7688 + 15.7456i 1.33530 + 0.528684i 0.923853 0.382747i \(-0.125022\pi\)
0.411451 + 0.911432i \(0.365022\pi\)
\(888\) 1.76313 28.0241i 0.0591667 0.940427i
\(889\) 1.87536 + 29.8080i 0.0628976 + 0.999729i
\(890\) 24.7670 9.26877i 0.830193 0.310690i
\(891\) −2.45792 + 2.97111i −0.0823433 + 0.0995360i
\(892\) 6.70916 14.2577i 0.224639 0.477383i
\(893\) −16.1094 11.7042i −0.539082 0.391666i
\(894\) 14.9251 + 14.0156i 0.499171 + 0.468753i
\(895\) 19.9401 + 25.0522i 0.666525 + 0.837403i
\(896\) 6.42427 33.6772i 0.214620 1.12508i
\(897\) 12.3537 + 26.2529i 0.412478 + 0.876560i
\(898\) 68.2485 + 17.5232i 2.27748 + 0.584758i
\(899\) −23.3144 + 16.9389i −0.777580 + 0.564945i
\(900\) 8.10368 80.2746i 0.270123 2.67582i
\(901\) −0.729646 0.530119i −0.0243080 0.0176608i
\(902\) 5.86667 + 7.09159i 0.195339 + 0.236124i
\(903\) 14.4624 + 7.95076i 0.481278 + 0.264585i
\(904\) 15.4461 + 8.49156i 0.513729 + 0.282425i
\(905\) 17.4476 + 10.0256i 0.579978 + 0.333263i
\(906\) 59.1673 125.737i 1.96570 4.17733i
\(907\) 1.28222 + 3.94627i 0.0425754 + 0.131034i 0.970085 0.242766i \(-0.0780547\pi\)
−0.927509 + 0.373800i \(0.878055\pi\)
\(908\) −5.49683 28.8154i −0.182419 0.956273i
\(909\) −17.5960 27.7269i −0.583623 0.919642i
\(910\) 30.7621 + 50.5595i 1.01976 + 1.67603i
\(911\) −38.5914 + 15.2794i −1.27859 + 0.506230i −0.906594 0.422003i \(-0.861327\pi\)
−0.371998 + 0.928234i \(0.621327\pi\)
\(912\) 8.74067 10.5657i 0.289433 0.349864i
\(913\) 4.29479 1.10272i 0.142137 0.0364946i
\(914\) −40.2462 48.6493i −1.33123 1.60918i
\(915\) 83.2133 + 47.8154i 2.75095 + 1.58073i
\(916\) −53.5699 + 13.7544i −1.77000 + 0.454458i
\(917\) −17.5613 16.4912i −0.579926 0.544587i
\(918\) −34.5560 + 106.352i −1.14052 + 3.51015i
\(919\) −13.1329 1.65907i −0.433214 0.0547276i −0.0942972 0.995544i \(-0.530060\pi\)
−0.338916 + 0.940816i \(0.610060\pi\)
\(920\) −1.50963 8.81526i −0.0497712 0.290630i
\(921\) 25.1834 23.6488i 0.829822 0.779255i
\(922\) −21.4003 + 2.70349i −0.704782 + 0.0890347i
\(923\) −2.80768 44.6268i −0.0924159 1.46891i
\(924\) −4.86380 + 14.9693i −0.160007 + 0.492452i
\(925\) 9.17410 + 21.5756i 0.301643 + 0.709401i
\(926\) 8.32408 + 25.6189i 0.273546 + 0.841888i
\(927\) 4.22148 1.67140i 0.138651 0.0548960i
\(928\) 5.71356 29.9515i 0.187557 0.983207i
\(929\) 51.3003 6.48073i 1.68311 0.212626i 0.775176 0.631745i \(-0.217661\pi\)
0.907931 + 0.419120i \(0.137661\pi\)
\(930\) −27.7985 91.3937i −0.911548 2.99692i
\(931\) −4.86591 + 2.67506i −0.159474 + 0.0876715i
\(932\) −11.2841 −0.369622
\(933\) 80.9048 44.4778i 2.64871 1.45614i
\(934\) 59.9892 + 23.7514i 1.96291 + 0.777169i
\(935\) 5.35492 10.8433i 0.175124 0.354614i
\(936\) 55.9259 + 14.3593i 1.82800 + 0.469350i
\(937\) −1.56335 2.46345i −0.0510725 0.0804774i 0.817832 0.575457i \(-0.195176\pi\)
−0.868905 + 0.494979i \(0.835176\pi\)
\(938\) −0.365204 0.575469i −0.0119243 0.0187897i
\(939\) 79.5245 + 20.4184i 2.59519 + 0.666330i
\(940\) 15.9023 32.2010i 0.518676 1.05028i
\(941\) −1.02801 0.407019i −0.0335123 0.0132684i 0.351309 0.936260i \(-0.385737\pi\)
−0.384821 + 0.922991i \(0.625737\pi\)
\(942\) −17.7549 + 9.76082i −0.578485 + 0.318025i
\(943\) 10.2523 0.333860
\(944\) 9.17913 5.04627i 0.298755 0.164242i
\(945\) 11.1798 + 36.7559i 0.363678 + 1.19567i
\(946\) −4.19826 + 0.530363i −0.136497 + 0.0172436i
\(947\) 3.85808 20.2247i 0.125371 0.657216i −0.863006 0.505193i \(-0.831421\pi\)
0.988377 0.152023i \(-0.0485787\pi\)
\(948\) 68.8230 27.2490i 2.23527 0.885005i
\(949\) −2.93798 9.04219i −0.0953710 0.293522i
\(950\) 9.02600 39.2069i 0.292842 1.27204i
\(951\) 6.36365 19.5853i 0.206355 0.635096i
\(952\) 2.06644 + 32.8451i 0.0669736 + 1.06451i
\(953\) 5.31048 0.670869i 0.172023 0.0217316i −0.0388498 0.999245i \(-0.512369\pi\)
0.210873 + 0.977513i \(0.432369\pi\)
\(954\) −1.17369 + 1.10217i −0.0379995 + 0.0356839i
\(955\) −3.37936 19.7332i −0.109354 0.638552i
\(956\) 81.0465 + 10.2386i 2.62123 + 0.331138i
\(957\) −3.10693 + 9.56216i −0.100433 + 0.309101i
\(958\) 41.6028 + 39.0677i 1.34413 + 1.26222i
\(959\) −18.3845 + 4.72033i −0.593666 + 0.152427i
\(960\) 72.9729 + 41.9312i 2.35519 + 1.35332i
\(961\) −7.97525 9.64042i −0.257266 0.310981i
\(962\) −51.4030 + 13.1980i −1.65730 + 0.425522i
\(963\) −47.5279 + 57.4513i −1.53156 + 1.85134i
\(964\) −29.4216 + 11.6488i −0.947606 + 0.375184i
\(965\) 18.7544 + 30.8241i 0.603727 + 0.992263i
\(966\) 15.8190 + 24.9267i 0.508967 + 0.802003i
\(967\) 6.37641 + 33.4263i 0.205052 + 1.07492i 0.924734 + 0.380615i \(0.124288\pi\)
−0.719682 + 0.694304i \(0.755712\pi\)
\(968\) 6.58047 + 20.2526i 0.211504 + 0.650943i
\(969\) −30.9027 + 65.6715i −0.992736 + 2.10967i
\(970\) −38.0985 21.8919i −1.22327 0.702906i
\(971\) 3.59536 + 1.97657i 0.115381 + 0.0634311i 0.538399 0.842690i \(-0.319029\pi\)
−0.423018 + 0.906121i \(0.639029\pi\)
\(972\) −19.9137 10.9477i −0.638734 0.351147i
\(973\) −3.01606 3.64579i −0.0966905 0.116879i
\(974\) −3.84886 2.79636i −0.123325 0.0896012i
\(975\) −72.7327 + 15.7726i −2.32931 + 0.505128i
\(976\) −15.4173 + 11.2013i −0.493495 + 0.358545i
\(977\) −41.1676 10.5701i −1.31707 0.338166i −0.476168 0.879354i \(-0.657975\pi\)
−0.840901 + 0.541188i \(0.817975\pi\)
\(978\) 38.9505 + 82.7741i 1.24550 + 2.64682i
\(979\) 0.787447 4.12794i 0.0251669 0.131930i
\(980\) −6.23682 7.83576i −0.199228 0.250304i
\(981\) −43.9867 41.3063i −1.40439 1.31881i
\(982\) −38.4132 27.9088i −1.22581 0.890607i
\(983\) −13.6573 + 29.0232i −0.435600 + 0.925697i 0.559685 + 0.828705i \(0.310922\pi\)
−0.995285 + 0.0969918i \(0.969078\pi\)
\(984\) 20.0763 24.2681i 0.640009 0.773638i
\(985\) −28.0499 + 10.4973i −0.893743 + 0.334473i
\(986\) 4.17524 + 66.3636i 0.132967 + 2.11345i
\(987\) −2.35337 + 37.4058i −0.0749087 + 1.19064i
\(988\) 50.2866 + 19.9099i 1.59983 + 0.633417i
\(989\) −2.52574 + 3.97993i −0.0803138 + 0.126554i
\(990\) −17.2234 13.0176i −0.547396 0.413726i
\(991\) 1.58530 25.1976i 0.0503586 0.800427i −0.889089 0.457734i \(-0.848661\pi\)
0.939448 0.342693i \(-0.111339\pi\)
\(992\) 45.6753 + 5.77013i 1.45019 + 0.183202i
\(993\) 18.6248 13.5317i 0.591039 0.429415i
\(994\) −8.52551 44.6923i −0.270413 1.41755i
\(995\) 18.8436 21.9214i 0.597381 0.694955i
\(996\) −20.4355 43.4277i −0.647524 1.37606i
\(997\) 12.0296 11.2965i 0.380980 0.357764i −0.470272 0.882522i \(-0.655844\pi\)
0.851252 + 0.524758i \(0.175844\pi\)
\(998\) −0.804956 + 1.26841i −0.0254804 + 0.0401507i
\(999\) −34.4508 −1.08997
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 125.2.g.a.106.3 yes 220
5.2 odd 4 625.2.h.b.474.4 440
5.3 odd 4 625.2.h.b.474.19 440
5.4 even 2 625.2.g.a.151.9 220
125.3 odd 100 625.2.h.b.149.4 440
125.46 even 25 inner 125.2.g.a.46.3 220
125.79 even 50 625.2.g.a.476.9 220
125.122 odd 100 625.2.h.b.149.19 440
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
125.2.g.a.46.3 220 125.46 even 25 inner
125.2.g.a.106.3 yes 220 1.1 even 1 trivial
625.2.g.a.151.9 220 5.4 even 2
625.2.g.a.476.9 220 125.79 even 50
625.2.h.b.149.4 440 125.3 odd 100
625.2.h.b.149.19 440 125.122 odd 100
625.2.h.b.474.4 440 5.2 odd 4
625.2.h.b.474.19 440 5.3 odd 4