Properties

Label 539.2.r.a.23.2
Level $539$
Weight $2$
Character 539.23
Analytic conductor $4.304$
Analytic rank $0$
Dimension $276$
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] = [539,2,Mod(23,539)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(539, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([38, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("539.23");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 539 = 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 539.r (of order \(21\), 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: \(4.30393666895\)
Analytic rank: \(0\)
Dimension: \(276\)
Relative dimension: \(23\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 23.2
Character \(\chi\) \(=\) 539.23
Dual form 539.2.r.a.375.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.194832 + 2.59986i) q^{2} +(-2.33478 + 0.720186i) q^{3} +(-4.74363 - 0.714987i) q^{4} +(0.904184 + 0.838960i) q^{5} +(-1.41749 - 6.21042i) q^{6} +(-0.823302 - 2.51439i) q^{7} +(1.62279 - 7.10990i) q^{8} +(2.45384 - 1.67300i) q^{9} +O(q^{10})\) \(q+(-0.194832 + 2.59986i) q^{2} +(-2.33478 + 0.720186i) q^{3} +(-4.74363 - 0.714987i) q^{4} +(0.904184 + 0.838960i) q^{5} +(-1.41749 - 6.21042i) q^{6} +(-0.823302 - 2.51439i) q^{7} +(1.62279 - 7.10990i) q^{8} +(2.45384 - 1.67300i) q^{9} +(-2.35734 + 2.18729i) q^{10} +(-0.826239 - 0.563320i) q^{11} +(11.5903 - 1.74695i) q^{12} +(1.34531 - 0.647865i) q^{13} +(6.69747 - 1.65058i) q^{14} +(-2.71528 - 1.30761i) q^{15} +(9.00037 + 2.77624i) q^{16} +(-0.839161 + 2.13815i) q^{17} +(3.87146 + 6.70557i) q^{18} +(2.40162 - 4.15973i) q^{19} +(-3.68927 - 4.62620i) q^{20} +(3.73306 + 5.27764i) q^{21} +(1.62553 - 2.03835i) q^{22} +(0.820707 + 2.09113i) q^{23} +(1.33159 + 17.7688i) q^{24} +(-0.259956 - 3.46887i) q^{25} +(1.42225 + 3.62383i) q^{26} +(0.0458752 - 0.0575257i) q^{27} +(2.10768 + 12.5160i) q^{28} +(1.73271 + 2.17274i) q^{29} +(3.92862 - 6.80457i) q^{30} +(-3.46858 - 6.00776i) q^{31} +(-3.64272 + 9.28151i) q^{32} +(2.33478 + 0.720186i) q^{33} +(-5.39538 - 2.59828i) q^{34} +(1.36506 - 2.96419i) q^{35} +(-12.8363 + 6.18162i) q^{36} +(-10.8512 + 1.63555i) q^{37} +(10.3468 + 7.05431i) q^{38} +(-2.67441 + 2.48149i) q^{39} +(7.43221 - 5.06720i) q^{40} +(-0.641335 + 2.80987i) q^{41} +(-14.4484 + 8.67717i) q^{42} +(0.826481 + 3.62105i) q^{43} +(3.51661 + 3.26293i) q^{44} +(3.62229 + 0.545973i) q^{45} +(-5.59653 + 1.72630i) q^{46} +(0.547628 - 7.30758i) q^{47} -23.0133 q^{48} +(-5.64435 + 4.14021i) q^{49} +9.06922 q^{50} +(0.419397 - 5.59646i) q^{51} +(-6.84485 + 2.11136i) q^{52} +(9.66634 + 1.45697i) q^{53} +(0.140621 + 0.130477i) q^{54} +(-0.274469 - 1.20253i) q^{55} +(-19.2131 + 1.77326i) q^{56} +(-2.61149 + 11.4417i) q^{57} +(-5.98641 + 4.08146i) q^{58} +(6.94499 - 6.44401i) q^{59} +(11.9454 + 8.14421i) q^{60} +(12.3282 - 1.85817i) q^{61} +(16.2951 - 7.84731i) q^{62} +(-6.22682 - 4.79253i) q^{63} +(-6.44875 - 3.10556i) q^{64} +(1.75994 + 0.542868i) q^{65} +(-2.32727 + 5.92979i) q^{66} +(-0.418250 - 0.724430i) q^{67} +(5.50942 - 9.54259i) q^{68} +(-3.42217 - 4.29127i) q^{69} +(7.44051 + 4.12648i) q^{70} +(1.63997 - 2.05645i) q^{71} +(-7.91278 - 20.1614i) q^{72} +(-0.557268 - 7.43622i) q^{73} +(-2.13804 - 28.5301i) q^{74} +(3.10517 + 7.91185i) q^{75} +(-14.3665 + 18.0151i) q^{76} +(-0.736165 + 2.54127i) q^{77} +(-5.93047 - 7.43657i) q^{78} +(6.40670 - 11.0967i) q^{79} +(5.80882 + 10.0612i) q^{80} +(-3.32074 + 8.46112i) q^{81} +(-7.18031 - 2.21483i) q^{82} +(-1.37137 - 0.660417i) q^{83} +(-13.9348 - 27.7043i) q^{84} +(-2.55257 + 1.22926i) q^{85} +(-9.57524 + 1.44324i) q^{86} +(-5.61027 - 3.82502i) q^{87} +(-5.34596 + 4.96032i) q^{88} +(13.4259 - 9.15362i) q^{89} +(-2.12519 + 9.31107i) q^{90} +(-2.73658 - 2.84924i) q^{91} +(-2.39800 - 10.5063i) q^{92} +(12.4251 + 11.5288i) q^{93} +(18.8920 + 2.84751i) q^{94} +(5.66135 - 1.74629i) q^{95} +(1.82057 - 24.2938i) q^{96} +7.69951 q^{97} +(-9.66424 - 15.4811i) q^{98} -2.96989 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 276 q - q^{3} + 24 q^{4} - 2 q^{5} - 12 q^{6} - 2 q^{7} + 6 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 276 q - q^{3} + 24 q^{4} - 2 q^{5} - 12 q^{6} - 2 q^{7} + 6 q^{8} + 6 q^{9} - 9 q^{10} - 23 q^{11} - 44 q^{12} + 43 q^{13} - 47 q^{14} + 6 q^{15} - 34 q^{16} - 3 q^{17} + 10 q^{18} + 59 q^{19} - 28 q^{20} + 25 q^{21} + 6 q^{23} + 2 q^{24} + 53 q^{25} + q^{26} - 4 q^{27} - 13 q^{28} - 28 q^{29} - 6 q^{30} - 3 q^{31} - 253 q^{32} + q^{33} - 50 q^{34} - 9 q^{35} - 76 q^{36} - 17 q^{37} + 8 q^{38} + 10 q^{39} - 59 q^{40} + 73 q^{41} - 12 q^{42} - 38 q^{44} - 9 q^{45} + 74 q^{46} - 87 q^{47} - 160 q^{48} - 60 q^{49} + 30 q^{50} + 128 q^{51} + 49 q^{52} + 21 q^{53} + 76 q^{54} - 4 q^{55} + 102 q^{56} - 41 q^{57} + 17 q^{58} + 36 q^{59} + 10 q^{60} + 11 q^{61} + 72 q^{62} - 201 q^{63} - 42 q^{64} - 215 q^{65} - 34 q^{66} - 8 q^{67} + 75 q^{68} + 6 q^{69} + 97 q^{70} + q^{71} - 95 q^{72} - 20 q^{73} + 154 q^{74} - 101 q^{75} - 27 q^{76} + 2 q^{77} - 87 q^{78} - 14 q^{79} - 124 q^{80} - 203 q^{81} - 15 q^{82} + 29 q^{83} - 96 q^{84} - 74 q^{85} + 63 q^{86} + 65 q^{87} + 3 q^{88} + 141 q^{89} + 491 q^{90} + 71 q^{91} + 41 q^{92} + 121 q^{93} + 116 q^{94} - 7 q^{95} - 141 q^{96} - 298 q^{97} - 102 q^{98} - 268 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(442\)
\(\chi(n)\) \(e\left(\frac{19}{21}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.194832 + 2.59986i −0.137767 + 1.83838i 0.317780 + 0.948164i \(0.397063\pi\)
−0.455547 + 0.890212i \(0.650556\pi\)
\(3\) −2.33478 + 0.720186i −1.34799 + 0.415799i −0.882940 0.469486i \(-0.844439\pi\)
−0.465048 + 0.885285i \(0.653963\pi\)
\(4\) −4.74363 0.714987i −2.37182 0.357494i
\(5\) 0.904184 + 0.838960i 0.404363 + 0.375194i 0.855972 0.517022i \(-0.172959\pi\)
−0.451609 + 0.892216i \(0.649150\pi\)
\(6\) −1.41749 6.21042i −0.578687 2.53539i
\(7\) −0.823302 2.51439i −0.311179 0.950351i
\(8\) 1.62279 7.10990i 0.573742 2.51373i
\(9\) 2.45384 1.67300i 0.817945 0.557665i
\(10\) −2.35734 + 2.18729i −0.745456 + 0.691682i
\(11\) −0.826239 0.563320i −0.249120 0.169847i
\(12\) 11.5903 1.74695i 3.34583 0.504302i
\(13\) 1.34531 0.647865i 0.373121 0.179685i −0.237920 0.971285i \(-0.576466\pi\)
0.611040 + 0.791599i \(0.290751\pi\)
\(14\) 6.69747 1.65058i 1.78997 0.441136i
\(15\) −2.71528 1.30761i −0.701082 0.337624i
\(16\) 9.00037 + 2.77624i 2.25009 + 0.694061i
\(17\) −0.839161 + 2.13815i −0.203526 + 0.518577i −0.995796 0.0915938i \(-0.970804\pi\)
0.792270 + 0.610171i \(0.208899\pi\)
\(18\) 3.87146 + 6.70557i 0.912513 + 1.58052i
\(19\) 2.40162 4.15973i 0.550969 0.954307i −0.447236 0.894416i \(-0.647591\pi\)
0.998205 0.0598907i \(-0.0190752\pi\)
\(20\) −3.68927 4.62620i −0.824945 1.03445i
\(21\) 3.73306 + 5.27764i 0.814621 + 1.15167i
\(22\) 1.62553 2.03835i 0.346564 0.434577i
\(23\) 0.820707 + 2.09113i 0.171129 + 0.436030i 0.990548 0.137165i \(-0.0437990\pi\)
−0.819419 + 0.573195i \(0.805704\pi\)
\(24\) 1.33159 + 17.7688i 0.271809 + 3.62704i
\(25\) −0.259956 3.46887i −0.0519912 0.693774i
\(26\) 1.42225 + 3.62383i 0.278925 + 0.710691i
\(27\) 0.0458752 0.0575257i 0.00882869 0.0110708i
\(28\) 2.10768 + 12.5160i 0.398314 + 2.36530i
\(29\) 1.73271 + 2.17274i 0.321755 + 0.403468i 0.916234 0.400643i \(-0.131213\pi\)
−0.594479 + 0.804111i \(0.702642\pi\)
\(30\) 3.92862 6.80457i 0.717265 1.24234i
\(31\) −3.46858 6.00776i −0.622976 1.07903i −0.988929 0.148392i \(-0.952590\pi\)
0.365953 0.930633i \(-0.380743\pi\)
\(32\) −3.64272 + 9.28151i −0.643949 + 1.64075i
\(33\) 2.33478 + 0.720186i 0.406434 + 0.125368i
\(34\) −5.39538 2.59828i −0.925300 0.445601i
\(35\) 1.36506 2.96419i 0.230737 0.501040i
\(36\) −12.8363 + 6.18162i −2.13938 + 1.03027i
\(37\) −10.8512 + 1.63555i −1.78392 + 0.268882i −0.956296 0.292402i \(-0.905546\pi\)
−0.827623 + 0.561284i \(0.810307\pi\)
\(38\) 10.3468 + 7.05431i 1.67847 + 1.14436i
\(39\) −2.67441 + 2.48149i −0.428249 + 0.397357i
\(40\) 7.43221 5.06720i 1.17514 0.801194i
\(41\) −0.641335 + 2.80987i −0.100160 + 0.438829i 0.899837 + 0.436227i \(0.143685\pi\)
−0.999997 + 0.00260195i \(0.999172\pi\)
\(42\) −14.4484 + 8.67717i −2.22944 + 1.33892i
\(43\) 0.826481 + 3.62105i 0.126037 + 0.552205i 0.998033 + 0.0626917i \(0.0199685\pi\)
−0.871996 + 0.489514i \(0.837174\pi\)
\(44\) 3.51661 + 3.26293i 0.530148 + 0.491906i
\(45\) 3.62229 + 0.545973i 0.539980 + 0.0813888i
\(46\) −5.59653 + 1.72630i −0.825163 + 0.254529i
\(47\) 0.547628 7.30758i 0.0798797 1.06592i −0.802894 0.596122i \(-0.796708\pi\)
0.882774 0.469799i \(-0.155673\pi\)
\(48\) −23.0133 −3.32169
\(49\) −5.64435 + 4.14021i −0.806336 + 0.591458i
\(50\) 9.06922 1.28258
\(51\) 0.419397 5.59646i 0.0587273 0.783662i
\(52\) −6.84485 + 2.11136i −0.949209 + 0.292792i
\(53\) 9.66634 + 1.45697i 1.32777 + 0.200130i 0.774343 0.632766i \(-0.218080\pi\)
0.553431 + 0.832895i \(0.313318\pi\)
\(54\) 0.140621 + 0.130477i 0.0191360 + 0.0177556i
\(55\) −0.274469 1.20253i −0.0370093 0.162149i
\(56\) −19.2131 + 1.77326i −2.56746 + 0.236962i
\(57\) −2.61149 + 11.4417i −0.345900 + 1.51549i
\(58\) −5.98641 + 4.08146i −0.786054 + 0.535922i
\(59\) 6.94499 6.44401i 0.904161 0.838938i −0.0833453 0.996521i \(-0.526560\pi\)
0.987506 + 0.157582i \(0.0503700\pi\)
\(60\) 11.9454 + 8.14421i 1.54214 + 1.05141i
\(61\) 12.3282 1.85817i 1.57846 0.237915i 0.699438 0.714693i \(-0.253433\pi\)
0.879024 + 0.476778i \(0.158195\pi\)
\(62\) 16.2951 7.84731i 2.06948 0.996609i
\(63\) −6.22682 4.79253i −0.784505 0.603802i
\(64\) −6.44875 3.10556i −0.806094 0.388195i
\(65\) 1.75994 + 0.542868i 0.218293 + 0.0673345i
\(66\) −2.32727 + 5.92979i −0.286467 + 0.729907i
\(67\) −0.418250 0.724430i −0.0510973 0.0885032i 0.839345 0.543598i \(-0.182939\pi\)
−0.890443 + 0.455095i \(0.849605\pi\)
\(68\) 5.50942 9.54259i 0.668115 1.15721i
\(69\) −3.42217 4.29127i −0.411981 0.516608i
\(70\) 7.44051 + 4.12648i 0.889311 + 0.493208i
\(71\) 1.63997 2.05645i 0.194628 0.244056i −0.674936 0.737877i \(-0.735829\pi\)
0.869564 + 0.493820i \(0.164400\pi\)
\(72\) −7.91278 20.1614i −0.932530 2.37605i
\(73\) −0.557268 7.43622i −0.0652233 0.870344i −0.929852 0.367933i \(-0.880066\pi\)
0.864629 0.502411i \(-0.167554\pi\)
\(74\) −2.13804 28.5301i −0.248542 3.31656i
\(75\) 3.10517 + 7.91185i 0.358554 + 0.913582i
\(76\) −14.3665 + 18.0151i −1.64796 + 2.06647i
\(77\) −0.736165 + 2.54127i −0.0838937 + 0.289605i
\(78\) −5.93047 7.43657i −0.671493 0.842026i
\(79\) 6.40670 11.0967i 0.720810 1.24848i −0.239866 0.970806i \(-0.577104\pi\)
0.960676 0.277673i \(-0.0895632\pi\)
\(80\) 5.80882 + 10.0612i 0.649446 + 1.12487i
\(81\) −3.32074 + 8.46112i −0.368971 + 0.940124i
\(82\) −7.18031 2.21483i −0.792933 0.244587i
\(83\) −1.37137 0.660417i −0.150528 0.0724902i 0.357103 0.934065i \(-0.383764\pi\)
−0.507631 + 0.861575i \(0.669479\pi\)
\(84\) −13.9348 27.7043i −1.52041 3.02278i
\(85\) −2.55257 + 1.22926i −0.276866 + 0.133331i
\(86\) −9.57524 + 1.44324i −1.03252 + 0.155628i
\(87\) −5.61027 3.82502i −0.601484 0.410085i
\(88\) −5.34596 + 4.96032i −0.569881 + 0.528772i
\(89\) 13.4259 9.15362i 1.42314 0.970282i 0.425271 0.905066i \(-0.360179\pi\)
0.997871 0.0652164i \(-0.0207738\pi\)
\(90\) −2.12519 + 9.31107i −0.224015 + 0.981473i
\(91\) −2.73658 2.84924i −0.286871 0.298681i
\(92\) −2.39800 10.5063i −0.250009 1.09536i
\(93\) 12.4251 + 11.5288i 1.28842 + 1.19548i
\(94\) 18.8920 + 2.84751i 1.94856 + 0.293698i
\(95\) 5.66135 1.74629i 0.580842 0.179166i
\(96\) 1.82057 24.2938i 0.185811 2.47947i
\(97\) 7.69951 0.781767 0.390883 0.920440i \(-0.372170\pi\)
0.390883 + 0.920440i \(0.372170\pi\)
\(98\) −9.66424 15.4811i −0.976236 1.56383i
\(99\) −2.96989 −0.298485
\(100\) −1.24706 + 16.6409i −0.124706 + 1.66409i
\(101\) −2.99961 + 0.925259i −0.298473 + 0.0920667i −0.440375 0.897814i \(-0.645154\pi\)
0.141902 + 0.989881i \(0.454678\pi\)
\(102\) 14.4683 + 2.18074i 1.43257 + 0.215926i
\(103\) −0.476432 0.442065i −0.0469443 0.0435579i 0.656352 0.754455i \(-0.272099\pi\)
−0.703296 + 0.710897i \(0.748289\pi\)
\(104\) −2.42311 10.6163i −0.237605 1.04102i
\(105\) −1.05235 + 7.90384i −0.102699 + 0.771336i
\(106\) −5.67122 + 24.8472i −0.550837 + 2.41338i
\(107\) −10.9978 + 7.49820i −1.06320 + 0.724879i −0.962840 0.270072i \(-0.912952\pi\)
−0.100362 + 0.994951i \(0.532000\pi\)
\(108\) −0.258745 + 0.240080i −0.0248978 + 0.0231017i
\(109\) −7.50122 5.11425i −0.718487 0.489856i 0.148043 0.988981i \(-0.452703\pi\)
−0.866530 + 0.499125i \(0.833655\pi\)
\(110\) 3.17987 0.479288i 0.303189 0.0456983i
\(111\) 24.1572 11.6335i 2.29290 1.10420i
\(112\) −0.429442 24.9161i −0.0405785 2.35435i
\(113\) −12.0504 5.80318i −1.13361 0.545918i −0.229538 0.973300i \(-0.573722\pi\)
−0.904071 + 0.427382i \(0.859436\pi\)
\(114\) −29.2379 9.01870i −2.73838 0.844679i
\(115\) −1.01230 + 2.57930i −0.0943976 + 0.240521i
\(116\) −6.66583 11.5456i −0.618907 1.07198i
\(117\) 2.21728 3.84044i 0.204988 0.355049i
\(118\) 15.4004 + 19.3115i 1.41772 + 1.77777i
\(119\) 6.06703 + 0.349641i 0.556163 + 0.0320515i
\(120\) −13.7033 + 17.1834i −1.25093 + 1.56862i
\(121\) 0.365341 + 0.930874i 0.0332128 + 0.0846249i
\(122\) 2.42906 + 32.4135i 0.219917 + 2.93458i
\(123\) −0.526251 7.02233i −0.0474504 0.633182i
\(124\) 12.1582 + 30.9786i 1.09184 + 2.78196i
\(125\) 6.52042 8.17634i 0.583204 0.731314i
\(126\) 13.6731 15.2551i 1.21809 1.35903i
\(127\) 5.56580 + 6.97930i 0.493885 + 0.619313i 0.964838 0.262846i \(-0.0846611\pi\)
−0.470953 + 0.882159i \(0.656090\pi\)
\(128\) −0.640327 + 1.10908i −0.0565975 + 0.0980297i
\(129\) −4.53749 7.85916i −0.399503 0.691960i
\(130\) −1.75427 + 4.46981i −0.153860 + 0.392028i
\(131\) −20.1507 6.21566i −1.76057 0.543065i −0.765609 0.643306i \(-0.777562\pi\)
−0.994963 + 0.100242i \(0.968038\pi\)
\(132\) −10.5604 5.08564i −0.919168 0.442648i
\(133\) −12.4364 2.61391i −1.07838 0.226654i
\(134\) 1.96490 0.946247i 0.169742 0.0817433i
\(135\) 0.0897413 0.0135263i 0.00772370 0.00116416i
\(136\) 13.8402 + 9.43610i 1.18679 + 0.809139i
\(137\) −8.09850 + 7.51431i −0.691901 + 0.641991i −0.945615 0.325289i \(-0.894538\pi\)
0.253713 + 0.967279i \(0.418348\pi\)
\(138\) 11.8234 8.06108i 1.00648 0.686204i
\(139\) 4.63858 20.3229i 0.393439 1.72377i −0.258955 0.965889i \(-0.583378\pi\)
0.652394 0.757880i \(-0.273765\pi\)
\(140\) −8.59470 + 13.0850i −0.726384 + 1.10589i
\(141\) 3.98422 + 17.4560i 0.335532 + 1.47006i
\(142\) 5.02697 + 4.66434i 0.421854 + 0.391423i
\(143\) −1.47650 0.222546i −0.123471 0.0186103i
\(144\) 26.7301 8.24513i 2.22750 0.687094i
\(145\) −0.256161 + 3.41823i −0.0212730 + 0.283868i
\(146\) 19.4417 1.60901
\(147\) 10.1966 13.7315i 0.841003 1.13255i
\(148\) 52.6433 4.32725
\(149\) 0.988379 13.1890i 0.0809711 1.08048i −0.797699 0.603056i \(-0.793950\pi\)
0.878670 0.477429i \(-0.158431\pi\)
\(150\) −21.1747 + 6.53152i −1.72890 + 0.533296i
\(151\) −15.7054 2.36721i −1.27809 0.192641i −0.525309 0.850912i \(-0.676050\pi\)
−0.752781 + 0.658271i \(0.771288\pi\)
\(152\) −25.6779 23.8256i −2.08275 1.93251i
\(153\) 1.51795 + 6.65057i 0.122719 + 0.537667i
\(154\) −6.46351 2.40904i −0.520845 0.194126i
\(155\) 1.90403 8.34212i 0.152936 0.670055i
\(156\) 14.4607 9.85912i 1.15778 0.789361i
\(157\) 12.1097 11.2362i 0.966459 0.896743i −0.0282368 0.999601i \(-0.508989\pi\)
0.994696 + 0.102858i \(0.0327988\pi\)
\(158\) 27.6017 + 18.8185i 2.19587 + 1.49712i
\(159\) −23.6181 + 3.55986i −1.87304 + 0.282315i
\(160\) −11.0805 + 5.33609i −0.875991 + 0.421855i
\(161\) 4.58223 3.78521i 0.361130 0.298316i
\(162\) −21.3507 10.2820i −1.67747 0.807827i
\(163\) 20.2221 + 6.23769i 1.58392 + 0.488573i 0.956896 0.290430i \(-0.0937985\pi\)
0.627019 + 0.779004i \(0.284275\pi\)
\(164\) 5.05128 12.8705i 0.394439 1.00501i
\(165\) 1.50687 + 2.60997i 0.117309 + 0.203186i
\(166\) 1.98418 3.43670i 0.154002 0.266739i
\(167\) 7.73220 + 9.69588i 0.598336 + 0.750289i 0.985118 0.171882i \(-0.0549847\pi\)
−0.386782 + 0.922171i \(0.626413\pi\)
\(168\) 43.5814 17.9772i 3.36238 1.38697i
\(169\) −6.71525 + 8.42066i −0.516558 + 0.647743i
\(170\) −2.69856 6.87583i −0.206970 0.527352i
\(171\) −1.06603 14.2252i −0.0815214 1.08783i
\(172\) −1.33152 17.7679i −0.101527 1.35479i
\(173\) −1.70576 4.34620i −0.129686 0.330435i 0.851251 0.524758i \(-0.175844\pi\)
−0.980938 + 0.194323i \(0.937749\pi\)
\(174\) 11.0376 13.8407i 0.836755 1.04926i
\(175\) −8.50809 + 3.50956i −0.643151 + 0.265298i
\(176\) −5.87254 7.36393i −0.442659 0.555077i
\(177\) −11.5742 + 20.0471i −0.869968 + 1.50683i
\(178\) 21.1823 + 36.6888i 1.58768 + 2.74994i
\(179\) 9.48537 24.1683i 0.708970 1.80643i 0.129247 0.991612i \(-0.458744\pi\)
0.579723 0.814814i \(-0.303161\pi\)
\(180\) −16.7925 5.17979i −1.25164 0.386079i
\(181\) −6.91459 3.32989i −0.513958 0.247509i 0.158882 0.987298i \(-0.449211\pi\)
−0.672839 + 0.739789i \(0.734925\pi\)
\(182\) 7.94078 6.55959i 0.588610 0.486229i
\(183\) −27.4454 + 13.2170i −2.02882 + 0.977030i
\(184\) 16.1995 2.44169i 1.19424 0.180003i
\(185\) −11.1836 7.62485i −0.822234 0.560590i
\(186\) −32.3940 + 30.0573i −2.37525 + 2.20391i
\(187\) 1.89781 1.29390i 0.138781 0.0946196i
\(188\) −7.82257 + 34.2729i −0.570520 + 2.49961i
\(189\) −0.182411 0.0679873i −0.0132685 0.00494535i
\(190\) 3.43710 + 15.0589i 0.249354 + 1.09249i
\(191\) 6.66602 + 6.18516i 0.482336 + 0.447542i 0.883477 0.468474i \(-0.155196\pi\)
−0.401141 + 0.916016i \(0.631386\pi\)
\(192\) 17.2930 + 2.60650i 1.24802 + 0.188108i
\(193\) −2.58148 + 0.796280i −0.185819 + 0.0573175i −0.386268 0.922387i \(-0.626236\pi\)
0.200449 + 0.979704i \(0.435760\pi\)
\(194\) −1.50011 + 20.0176i −0.107702 + 1.43718i
\(195\) −4.50004 −0.322254
\(196\) 29.7349 15.6040i 2.12392 1.11457i
\(197\) −2.04701 −0.145844 −0.0729218 0.997338i \(-0.523232\pi\)
−0.0729218 + 0.997338i \(0.523232\pi\)
\(198\) 0.578630 7.72128i 0.0411214 0.548727i
\(199\) −17.7308 + 5.46923i −1.25690 + 0.387704i −0.850493 0.525987i \(-0.823696\pi\)
−0.406411 + 0.913690i \(0.633220\pi\)
\(200\) −25.0852 3.78098i −1.77379 0.267356i
\(201\) 1.49825 + 1.39017i 0.105678 + 0.0980550i
\(202\) −1.82112 7.97884i −0.128133 0.561389i
\(203\) 4.03659 6.14553i 0.283313 0.431331i
\(204\) −5.99087 + 26.2477i −0.419444 + 1.83771i
\(205\) −2.93726 + 2.00259i −0.205147 + 0.139867i
\(206\) 1.24213 1.15253i 0.0865432 0.0803004i
\(207\) 5.51233 + 3.75824i 0.383133 + 0.261216i
\(208\) 13.9069 2.09612i 0.964268 0.145340i
\(209\) −4.32757 + 2.08405i −0.299344 + 0.144157i
\(210\) −20.3438 4.27589i −1.40386 0.295064i
\(211\) −22.4864 10.8289i −1.54803 0.745490i −0.551941 0.833883i \(-0.686113\pi\)
−0.996086 + 0.0883929i \(0.971827\pi\)
\(212\) −44.8118 13.8226i −3.07769 0.949341i
\(213\) −2.34794 + 5.98246i −0.160878 + 0.409911i
\(214\) −17.3515 30.0537i −1.18613 2.05443i
\(215\) −2.29063 + 3.96748i −0.156219 + 0.270580i
\(216\) −0.334556 0.419520i −0.0227636 0.0285447i
\(217\) −12.2502 + 13.6676i −0.831597 + 0.927816i
\(218\) 14.7578 18.5057i 0.999523 1.25336i
\(219\) 6.65656 + 16.9606i 0.449809 + 1.14609i
\(220\) 0.442187 + 5.90058i 0.0298123 + 0.397817i
\(221\) 0.256303 + 3.42012i 0.0172408 + 0.230062i
\(222\) 25.5388 + 65.0718i 1.71405 + 4.36734i
\(223\) −17.4545 + 21.8872i −1.16884 + 1.46568i −0.312006 + 0.950080i \(0.601001\pi\)
−0.856832 + 0.515596i \(0.827571\pi\)
\(224\) 26.3364 + 1.51776i 1.75968 + 0.101410i
\(225\) −6.44130 8.07713i −0.429420 0.538476i
\(226\) 17.4353 30.1987i 1.15978 2.00879i
\(227\) 6.87019 + 11.8995i 0.455991 + 0.789799i 0.998745 0.0500927i \(-0.0159517\pi\)
−0.542754 + 0.839892i \(0.682618\pi\)
\(228\) 20.5686 52.4079i 1.36219 3.47080i
\(229\) −0.127288 0.0392631i −0.00841142 0.00259458i 0.290547 0.956861i \(-0.406163\pi\)
−0.298958 + 0.954266i \(0.596639\pi\)
\(230\) −6.50858 3.13437i −0.429163 0.206674i
\(231\) −0.111402 6.46350i −0.00732969 0.425267i
\(232\) 18.2598 8.79345i 1.19881 0.577318i
\(233\) 15.8782 2.39325i 1.04022 0.156787i 0.393348 0.919390i \(-0.371317\pi\)
0.646867 + 0.762603i \(0.276079\pi\)
\(234\) 9.55261 + 6.51286i 0.624473 + 0.425759i
\(235\) 6.62592 6.14796i 0.432228 0.401049i
\(236\) −37.5518 + 25.6024i −2.44442 + 1.66658i
\(237\) −6.96655 + 30.5225i −0.452526 + 1.98265i
\(238\) −2.09107 + 15.7053i −0.135544 + 1.01802i
\(239\) −0.250065 1.09561i −0.0161754 0.0708688i 0.966196 0.257808i \(-0.0830003\pi\)
−0.982371 + 0.186939i \(0.940143\pi\)
\(240\) −20.8083 19.3073i −1.34317 1.24628i
\(241\) 12.4774 + 1.88066i 0.803739 + 0.121144i 0.538048 0.842914i \(-0.319162\pi\)
0.265691 + 0.964058i \(0.414400\pi\)
\(242\) −2.49132 + 0.768470i −0.160148 + 0.0493991i
\(243\) 1.64315 21.9263i 0.105408 1.40657i
\(244\) −59.8089 −3.82887
\(245\) −8.57700 0.991874i −0.547964 0.0633685i
\(246\) 18.3596 1.17056
\(247\) 0.535970 7.15203i 0.0341030 0.455073i
\(248\) −48.3433 + 14.9119i −3.06980 + 0.946909i
\(249\) 3.67748 + 0.554291i 0.233051 + 0.0351267i
\(250\) 19.9869 + 18.5452i 1.26408 + 1.17290i
\(251\) −2.08000 9.11309i −0.131289 0.575213i −0.997184 0.0749887i \(-0.976108\pi\)
0.865896 0.500225i \(-0.166749\pi\)
\(252\) 26.1111 + 27.1861i 1.64485 + 1.71256i
\(253\) 0.499874 2.19009i 0.0314268 0.137690i
\(254\) −19.2296 + 13.1105i −1.20657 + 0.822626i
\(255\) 5.07442 4.70837i 0.317772 0.294850i
\(256\) −14.5864 9.94486i −0.911652 0.621554i
\(257\) −8.37927 + 1.26297i −0.522685 + 0.0787820i −0.405085 0.914279i \(-0.632758\pi\)
−0.117600 + 0.993061i \(0.537520\pi\)
\(258\) 21.3167 10.2656i 1.32712 0.639108i
\(259\) 13.0462 + 25.9375i 0.810650 + 1.61168i
\(260\) −7.96034 3.83350i −0.493679 0.237743i
\(261\) 7.88676 + 2.43274i 0.488178 + 0.150583i
\(262\) 20.0858 51.1778i 1.24091 3.16178i
\(263\) −14.6557 25.3844i −0.903707 1.56527i −0.822644 0.568557i \(-0.807502\pi\)
−0.0810632 0.996709i \(-0.525832\pi\)
\(264\) 8.90930 15.4314i 0.548330 0.949735i
\(265\) 7.51781 + 9.42703i 0.461815 + 0.579098i
\(266\) 9.21880 31.8237i 0.565241 1.95124i
\(267\) −24.7543 + 31.0409i −1.51494 + 1.89967i
\(268\) 1.46606 + 3.73547i 0.0895541 + 0.228180i
\(269\) −1.58534 21.1549i −0.0966599 1.28984i −0.808919 0.587920i \(-0.799947\pi\)
0.712259 0.701917i \(-0.247672\pi\)
\(270\) 0.0176820 + 0.235950i 0.00107609 + 0.0143595i
\(271\) 1.76814 + 4.50514i 0.107407 + 0.273668i 0.974465 0.224538i \(-0.0720874\pi\)
−0.867058 + 0.498206i \(0.833992\pi\)
\(272\) −13.4888 + 16.9144i −0.817877 + 1.02559i
\(273\) 8.44130 + 4.68151i 0.510891 + 0.283338i
\(274\) −17.9583 22.5190i −1.08490 1.36042i
\(275\) −1.73930 + 3.01255i −0.104884 + 0.181664i
\(276\) 13.1653 + 22.8030i 0.792459 + 1.37258i
\(277\) 0.507905 1.29412i 0.0305171 0.0777563i −0.914803 0.403900i \(-0.867654\pi\)
0.945320 + 0.326144i \(0.105749\pi\)
\(278\) 51.9330 + 16.0192i 3.11473 + 0.960768i
\(279\) −18.5623 8.93913i −1.11130 0.535172i
\(280\) −18.8599 14.5157i −1.12709 0.867478i
\(281\) −15.8448 + 7.63047i −0.945224 + 0.455196i −0.842009 0.539463i \(-0.818627\pi\)
−0.103215 + 0.994659i \(0.532913\pi\)
\(282\) −46.1594 + 6.95741i −2.74875 + 0.414308i
\(283\) −11.2395 7.66295i −0.668118 0.455515i 0.181165 0.983453i \(-0.442013\pi\)
−0.849283 + 0.527937i \(0.822966\pi\)
\(284\) −9.24974 + 8.58250i −0.548871 + 0.509278i
\(285\) −11.9604 + 8.15444i −0.708471 + 0.483028i
\(286\) 0.866258 3.79532i 0.0512229 0.224422i
\(287\) 7.59314 0.700804i 0.448209 0.0413671i
\(288\) 6.58929 + 28.8696i 0.388278 + 1.70116i
\(289\) 8.59440 + 7.97444i 0.505553 + 0.469085i
\(290\) −8.83699 1.33196i −0.518926 0.0782155i
\(291\) −17.9767 + 5.54508i −1.05381 + 0.325058i
\(292\) −2.67333 + 35.6731i −0.156445 + 2.08761i
\(293\) −5.10482 −0.298227 −0.149113 0.988820i \(-0.547642\pi\)
−0.149113 + 0.988820i \(0.547642\pi\)
\(294\) 33.7132 + 29.1851i 1.96620 + 1.70211i
\(295\) 11.6858 0.680374
\(296\) −5.98054 + 79.8047i −0.347612 + 4.63856i
\(297\) −0.0703092 + 0.0216875i −0.00407976 + 0.00125844i
\(298\) 34.0969 + 5.13928i 1.97518 + 0.297711i
\(299\) 2.45887 + 2.28150i 0.142200 + 0.131942i
\(300\) −9.07292 39.7511i −0.523825 2.29503i
\(301\) 8.42431 5.05932i 0.485569 0.291614i
\(302\) 9.21434 40.3707i 0.530226 2.32307i
\(303\) 6.33710 4.32056i 0.364057 0.248210i
\(304\) 33.1639 30.7716i 1.90208 1.76487i
\(305\) 12.7059 + 8.66272i 0.727536 + 0.496026i
\(306\) −17.5863 + 2.65071i −1.00534 + 0.151531i
\(307\) −2.37636 + 1.14440i −0.135626 + 0.0653142i −0.500466 0.865756i \(-0.666838\pi\)
0.364840 + 0.931070i \(0.381124\pi\)
\(308\) 5.30907 11.5285i 0.302512 0.656898i
\(309\) 1.43074 + 0.689006i 0.0813917 + 0.0391962i
\(310\) 21.3173 + 6.57553i 1.21074 + 0.373465i
\(311\) 1.01848 2.59504i 0.0577526 0.147151i −0.899085 0.437774i \(-0.855767\pi\)
0.956838 + 0.290622i \(0.0938623\pi\)
\(312\) 13.3032 + 23.0417i 0.753143 + 1.30448i
\(313\) −5.95005 + 10.3058i −0.336317 + 0.582517i −0.983737 0.179616i \(-0.942515\pi\)
0.647420 + 0.762133i \(0.275848\pi\)
\(314\) 26.8530 + 33.6726i 1.51540 + 1.90026i
\(315\) −1.60945 9.55737i −0.0906822 0.538497i
\(316\) −38.3250 + 48.0581i −2.15595 + 2.70348i
\(317\) 8.74586 + 22.2841i 0.491216 + 1.25160i 0.934739 + 0.355336i \(0.115633\pi\)
−0.443522 + 0.896263i \(0.646271\pi\)
\(318\) −4.65355 62.0973i −0.260958 3.48224i
\(319\) −0.207678 2.77127i −0.0116277 0.155161i
\(320\) −3.22542 8.21824i −0.180307 0.459413i
\(321\) 20.2775 25.4272i 1.13178 1.41921i
\(322\) 8.94823 + 12.6506i 0.498665 + 0.704991i
\(323\) 6.87876 + 8.62570i 0.382745 + 0.479947i
\(324\) 21.8020 37.7621i 1.21122 2.09790i
\(325\) −2.59708 4.49827i −0.144060 0.249519i
\(326\) −20.1570 + 51.3592i −1.11639 + 2.84452i
\(327\) 21.1969 + 6.53839i 1.17219 + 0.361574i
\(328\) 18.9372 + 9.11965i 1.04563 + 0.503549i
\(329\) −18.8250 + 4.63939i −1.03786 + 0.255778i
\(330\) −7.07913 + 3.40913i −0.389693 + 0.187666i
\(331\) 19.1141 2.88099i 1.05061 0.158353i 0.399031 0.916938i \(-0.369347\pi\)
0.651575 + 0.758584i \(0.274109\pi\)
\(332\) 6.03309 + 4.11329i 0.331109 + 0.225746i
\(333\) −23.8907 + 22.1673i −1.30920 + 1.21476i
\(334\) −26.7144 + 18.2135i −1.46175 + 0.996601i
\(335\) 0.229593 1.00591i 0.0125440 0.0549589i
\(336\) 18.9469 + 57.8646i 1.03364 + 3.15677i
\(337\) −6.21910 27.2476i −0.338776 1.48427i −0.801620 0.597834i \(-0.796028\pi\)
0.462844 0.886440i \(-0.346829\pi\)
\(338\) −20.5842 19.0993i −1.11963 1.03886i
\(339\) 32.3145 + 4.87063i 1.75508 + 0.264536i
\(340\) 12.9874 4.00607i 0.704339 0.217260i
\(341\) −0.518415 + 6.91777i −0.0280737 + 0.374618i
\(342\) 37.1911 2.01107
\(343\) 15.0571 + 10.7835i 0.813008 + 0.582253i
\(344\) 27.0865 1.46041
\(345\) 0.505929 6.75116i 0.0272383 0.363470i
\(346\) 11.6318 3.58794i 0.625331 0.192889i
\(347\) 10.4595 + 1.57652i 0.561496 + 0.0846319i 0.423657 0.905823i \(-0.360746\pi\)
0.137839 + 0.990455i \(0.455984\pi\)
\(348\) 23.8782 + 22.1557i 1.28001 + 1.18767i
\(349\) 2.57245 + 11.2706i 0.137700 + 0.603303i 0.995937 + 0.0900499i \(0.0287027\pi\)
−0.858237 + 0.513253i \(0.828440\pi\)
\(350\) −7.46670 22.8036i −0.399112 1.21890i
\(351\) 0.0244473 0.107111i 0.00130490 0.00571714i
\(352\) 8.23822 5.61672i 0.439099 0.299372i
\(353\) 18.0448 16.7431i 0.960428 0.891147i −0.0336923 0.999432i \(-0.510727\pi\)
0.994120 + 0.108286i \(0.0345361\pi\)
\(354\) −49.8644 33.9970i −2.65026 1.80692i
\(355\) 3.20811 0.483545i 0.170269 0.0256639i
\(356\) −70.2322 + 33.8221i −3.72230 + 1.79257i
\(357\) −14.4170 + 3.55305i −0.763029 + 0.188047i
\(358\) 60.9861 + 29.3694i 3.22322 + 1.55222i
\(359\) −13.5024 4.16495i −0.712632 0.219818i −0.0828187 0.996565i \(-0.526392\pi\)
−0.629813 + 0.776747i \(0.716868\pi\)
\(360\) 9.76002 24.8681i 0.514398 1.31067i
\(361\) −2.03555 3.52568i −0.107134 0.185562i
\(362\) 10.0044 17.3282i 0.525821 0.910749i
\(363\) −1.52339 1.91028i −0.0799575 0.100264i
\(364\) 10.9442 + 15.4724i 0.573629 + 0.810972i
\(365\) 5.73482 7.19124i 0.300174 0.376406i
\(366\) −29.0151 73.9293i −1.51664 3.86434i
\(367\) 1.25706 + 16.7743i 0.0656179 + 0.875610i 0.928768 + 0.370662i \(0.120869\pi\)
−0.863150 + 0.504948i \(0.831512\pi\)
\(368\) 1.58118 + 21.0994i 0.0824247 + 1.09988i
\(369\) 3.12718 + 7.96792i 0.162794 + 0.414793i
\(370\) 22.0024 27.5902i 1.14385 1.43434i
\(371\) −4.29493 25.5045i −0.222981 1.32413i
\(372\) −50.6971 63.5722i −2.62852 3.29606i
\(373\) 11.2207 19.4348i 0.580985 1.00630i −0.414378 0.910105i \(-0.636001\pi\)
0.995363 0.0961909i \(-0.0306659\pi\)
\(374\) 2.99421 + 5.18612i 0.154827 + 0.268168i
\(375\) −9.33528 + 23.7859i −0.482072 + 1.22830i
\(376\) −51.0675 15.7522i −2.63360 0.812359i
\(377\) 3.73866 + 1.80044i 0.192551 + 0.0927276i
\(378\) 0.212297 0.460997i 0.0109194 0.0237111i
\(379\) 13.5141 6.50804i 0.694172 0.334295i −0.0533100 0.998578i \(-0.516977\pi\)
0.747482 + 0.664283i \(0.231263\pi\)
\(380\) −28.1039 + 4.23599i −1.44170 + 0.217301i
\(381\) −18.0213 12.2867i −0.923261 0.629469i
\(382\) −17.3793 + 16.1256i −0.889201 + 0.825058i
\(383\) 4.63033 3.15690i 0.236599 0.161310i −0.439217 0.898381i \(-0.644744\pi\)
0.675815 + 0.737071i \(0.263792\pi\)
\(384\) 0.696283 3.05062i 0.0355320 0.155676i
\(385\) −2.79765 + 1.68016i −0.142582 + 0.0856291i
\(386\) −1.56726 6.86661i −0.0797714 0.349501i
\(387\) 8.08606 + 7.50276i 0.411037 + 0.381387i
\(388\) −36.5236 5.50505i −1.85421 0.279477i
\(389\) −0.478582 + 0.147623i −0.0242651 + 0.00748479i −0.306864 0.951753i \(-0.599280\pi\)
0.282599 + 0.959238i \(0.408803\pi\)
\(390\) 0.876752 11.6994i 0.0443961 0.592424i
\(391\) −5.15984 −0.260944
\(392\) 20.2769 + 46.8494i 1.02414 + 2.36625i
\(393\) 51.5239 2.59904
\(394\) 0.398824 5.32194i 0.0200925 0.268115i
\(395\) 15.1025 4.65851i 0.759891 0.234395i
\(396\) 14.0880 + 2.12343i 0.707951 + 0.106706i
\(397\) −8.53599 7.92024i −0.428409 0.397506i 0.436282 0.899810i \(-0.356295\pi\)
−0.864691 + 0.502305i \(0.832486\pi\)
\(398\) −10.7647 47.1631i −0.539585 2.36407i
\(399\) 30.9189 2.85364i 1.54788 0.142861i
\(400\) 7.29074 31.9428i 0.364537 1.59714i
\(401\) −9.69809 + 6.61205i −0.484300 + 0.330190i −0.780734 0.624863i \(-0.785155\pi\)
0.296435 + 0.955053i \(0.404202\pi\)
\(402\) −3.90615 + 3.62438i −0.194821 + 0.180767i
\(403\) −8.55852 5.83510i −0.426330 0.290667i
\(404\) 14.8906 2.24440i 0.740836 0.111663i
\(405\) −10.1011 + 4.86443i −0.501928 + 0.241716i
\(406\) 15.1910 + 11.6919i 0.753918 + 0.580260i
\(407\) 9.88698 + 4.76132i 0.490079 + 0.236010i
\(408\) −39.1097 12.0637i −1.93622 0.597244i
\(409\) −3.46234 + 8.82189i −0.171201 + 0.436214i −0.990562 0.137064i \(-0.956233\pi\)
0.819361 + 0.573278i \(0.194329\pi\)
\(410\) −4.63417 8.02661i −0.228865 0.396406i
\(411\) 13.4965 23.3767i 0.665736 1.15309i
\(412\) 1.94395 + 2.43763i 0.0957715 + 0.120094i
\(413\) −21.9206 12.1571i −1.07864 0.598210i
\(414\) −10.8449 + 13.5990i −0.532996 + 0.668356i
\(415\) −0.685907 1.74766i −0.0336699 0.0857894i
\(416\) 1.11259 + 14.8465i 0.0545491 + 0.727908i
\(417\) 3.80621 + 50.7903i 0.186391 + 2.48721i
\(418\) −4.57507 11.6571i −0.223774 0.570167i
\(419\) 12.5970 15.7962i 0.615405 0.771694i −0.372284 0.928119i \(-0.621425\pi\)
0.987690 + 0.156425i \(0.0499968\pi\)
\(420\) 10.6431 36.7405i 0.519331 1.79275i
\(421\) 17.1768 + 21.5390i 0.837145 + 1.04975i 0.998028 + 0.0627730i \(0.0199944\pi\)
−0.160883 + 0.986973i \(0.551434\pi\)
\(422\) 32.5346 56.3516i 1.58376 2.74315i
\(423\) −10.8818 18.8478i −0.529090 0.916410i
\(424\) 26.0453 66.3623i 1.26487 3.22284i
\(425\) 7.63510 + 2.35512i 0.370357 + 0.114240i
\(426\) −15.0961 7.26989i −0.731407 0.352227i
\(427\) −14.8220 29.4681i −0.717287 1.42606i
\(428\) 57.5308 27.7054i 2.78086 1.33919i
\(429\) 3.60758 0.543755i 0.174176 0.0262528i
\(430\) −9.86859 6.72829i −0.475906 0.324467i
\(431\) −15.2290 + 14.1304i −0.733553 + 0.680638i −0.955689 0.294378i \(-0.904888\pi\)
0.222136 + 0.975016i \(0.428697\pi\)
\(432\) 0.572599 0.390391i 0.0275492 0.0187827i
\(433\) −3.11756 + 13.6589i −0.149820 + 0.656406i 0.843113 + 0.537736i \(0.180720\pi\)
−0.992934 + 0.118670i \(0.962137\pi\)
\(434\) −33.1470 34.5116i −1.59111 1.65661i
\(435\) −1.86368 8.16531i −0.0893566 0.391497i
\(436\) 31.9264 + 29.6234i 1.52900 + 1.41870i
\(437\) 10.6695 + 1.60817i 0.510393 + 0.0769294i
\(438\) −45.3921 + 14.0016i −2.16892 + 0.669023i
\(439\) −0.532713 + 7.10856i −0.0254250 + 0.339273i 0.969957 + 0.243277i \(0.0782225\pi\)
−0.995382 + 0.0959956i \(0.969397\pi\)
\(440\) −8.99524 −0.428831
\(441\) −6.92375 + 19.6024i −0.329702 + 0.933446i
\(442\) −8.94176 −0.425316
\(443\) −1.52521 + 20.3525i −0.0724648 + 0.966976i 0.835923 + 0.548847i \(0.184933\pi\)
−0.908388 + 0.418129i \(0.862686\pi\)
\(444\) −122.911 + 37.9129i −5.83308 + 1.79927i
\(445\) 19.8190 + 2.98723i 0.939511 + 0.141608i
\(446\) −53.5029 49.6434i −2.53344 2.35069i
\(447\) 7.19087 + 31.5053i 0.340117 + 1.49015i
\(448\) −2.49932 + 18.7715i −0.118082 + 0.886871i
\(449\) −3.22309 + 14.1213i −0.152107 + 0.666424i 0.840164 + 0.542333i \(0.182459\pi\)
−0.992271 + 0.124091i \(0.960398\pi\)
\(450\) 22.2544 15.1728i 1.04908 0.715251i
\(451\) 2.11275 1.96035i 0.0994857 0.0923092i
\(452\) 53.0136 + 36.1441i 2.49355 + 1.70007i
\(453\) 38.3736 5.78390i 1.80295 0.271751i
\(454\) −32.2756 + 15.5431i −1.51477 + 0.729474i
\(455\) −0.0839733 4.87211i −0.00393673 0.228408i
\(456\) 77.1113 + 37.1348i 3.61107 + 1.73900i
\(457\) 26.7170 + 8.24111i 1.24977 + 0.385503i 0.847882 0.530185i \(-0.177878\pi\)
0.401889 + 0.915689i \(0.368354\pi\)
\(458\) 0.126878 0.323281i 0.00592863 0.0151059i
\(459\) 0.0845017 + 0.146361i 0.00394420 + 0.00683156i
\(460\) 6.64615 11.5115i 0.309878 0.536725i
\(461\) 7.31318 + 9.17044i 0.340609 + 0.427110i 0.922405 0.386225i \(-0.126221\pi\)
−0.581796 + 0.813335i \(0.697650\pi\)
\(462\) 16.8259 + 0.969670i 0.782810 + 0.0451131i
\(463\) −0.0944946 + 0.118492i −0.00439154 + 0.00550681i −0.784022 0.620733i \(-0.786835\pi\)
0.779631 + 0.626239i \(0.215407\pi\)
\(464\) 9.56291 + 24.3659i 0.443947 + 1.13116i
\(465\) 1.56236 + 20.8483i 0.0724529 + 0.966817i
\(466\) 3.12853 + 41.7473i 0.144926 + 1.93391i
\(467\) −0.632501 1.61159i −0.0292686 0.0745753i 0.915492 0.402335i \(-0.131801\pi\)
−0.944761 + 0.327760i \(0.893706\pi\)
\(468\) −13.2638 + 16.6323i −0.613121 + 0.768829i
\(469\) −1.47716 + 1.64807i −0.0682087 + 0.0761007i
\(470\) 14.6929 + 18.4243i 0.677731 + 0.849848i
\(471\) −20.1814 + 34.9552i −0.929911 + 1.61065i
\(472\) −34.5460 59.8354i −1.59011 2.75415i
\(473\) 1.35694 3.45743i 0.0623922 0.158973i
\(474\) −77.9967 24.0588i −3.58251 1.10506i
\(475\) −15.0539 7.24956i −0.690719 0.332633i
\(476\) −28.5297 5.99641i −1.30766 0.274845i
\(477\) 26.1571 12.5966i 1.19765 0.576759i
\(478\) 2.89714 0.436673i 0.132512 0.0199730i
\(479\) 11.8607 + 8.08647i 0.541928 + 0.369480i 0.803130 0.595804i \(-0.203166\pi\)
−0.261202 + 0.965284i \(0.584119\pi\)
\(480\) 22.0276 20.4386i 1.00542 0.932892i
\(481\) −13.5385 + 9.23039i −0.617302 + 0.420870i
\(482\) −7.32045 + 32.0730i −0.333437 + 1.46089i
\(483\) −7.97246 + 12.1377i −0.362759 + 0.552284i
\(484\) −1.06748 4.67694i −0.0485218 0.212588i
\(485\) 6.96177 + 6.45958i 0.316118 + 0.293314i
\(486\) 56.6851 + 8.54391i 2.57129 + 0.387560i
\(487\) −24.1407 + 7.44642i −1.09392 + 0.337430i −0.788654 0.614837i \(-0.789222\pi\)
−0.305266 + 0.952267i \(0.598745\pi\)
\(488\) 6.79459 90.6675i 0.307577 4.10433i
\(489\) −51.7065 −2.33825
\(490\) 4.24980 22.1057i 0.191987 0.998634i
\(491\) −4.36667 −0.197065 −0.0985325 0.995134i \(-0.531415\pi\)
−0.0985325 + 0.995134i \(0.531415\pi\)
\(492\) −2.52454 + 33.6876i −0.113815 + 1.51875i
\(493\) −6.09966 + 1.88150i −0.274715 + 0.0847384i
\(494\) 18.4898 + 2.78689i 0.831896 + 0.125388i
\(495\) −2.68532 2.49161i −0.120696 0.111990i
\(496\) −14.5395 63.7017i −0.652842 2.86029i
\(497\) −6.52092 2.43044i −0.292503 0.109020i
\(498\) −2.15757 + 9.45292i −0.0966829 + 0.423596i
\(499\) 18.6350 12.7051i 0.834218 0.568760i −0.0691599 0.997606i \(-0.522032\pi\)
0.903378 + 0.428845i \(0.141079\pi\)
\(500\) −36.7764 + 34.1235i −1.64469 + 1.52605i
\(501\) −25.0359 17.0692i −1.11852 0.762594i
\(502\) 24.0980 3.63219i 1.07555 0.162112i
\(503\) −10.1725 + 4.89881i −0.453569 + 0.218427i −0.646698 0.762746i \(-0.723851\pi\)
0.193129 + 0.981173i \(0.438136\pi\)
\(504\) −44.1792 + 36.4948i −1.96790 + 1.62561i
\(505\) −3.48846 1.67995i −0.155234 0.0747569i
\(506\) 5.59653 + 1.72630i 0.248796 + 0.0767434i
\(507\) 9.61423 24.4966i 0.426983 1.08793i
\(508\) −21.4120 37.0867i −0.950004 1.64546i
\(509\) −1.08071 + 1.87184i −0.0479015 + 0.0829678i −0.888982 0.457942i \(-0.848587\pi\)
0.841081 + 0.540910i \(0.181920\pi\)
\(510\) 11.2524 + 14.1101i 0.498266 + 0.624806i
\(511\) −18.2388 + 7.52344i −0.806837 + 0.332818i
\(512\) 27.1002 33.9825i 1.19767 1.50183i
\(513\) −0.129116 0.328983i −0.00570063 0.0145250i
\(514\) −1.65099 22.0310i −0.0728222 0.971745i
\(515\) −0.0599079 0.799415i −0.00263986 0.0352264i
\(516\) 15.9050 + 40.5252i 0.700177 + 1.78402i
\(517\) −4.56898 + 5.72932i −0.200943 + 0.251975i
\(518\) −69.9756 + 28.8647i −3.07455 + 1.26824i
\(519\) 7.11264 + 8.91897i 0.312210 + 0.391499i
\(520\) 6.71574 11.6320i 0.294505 0.510097i
\(521\) −4.41404 7.64534i −0.193383 0.334949i 0.752986 0.658036i \(-0.228613\pi\)
−0.946369 + 0.323087i \(0.895279\pi\)
\(522\) −7.86138 + 20.0305i −0.344083 + 0.876710i
\(523\) −29.7763 9.18478i −1.30203 0.401623i −0.435247 0.900311i \(-0.643339\pi\)
−0.866781 + 0.498689i \(0.833815\pi\)
\(524\) 91.1432 + 43.8923i 3.98161 + 1.91744i
\(525\) 17.3370 14.3215i 0.756649 0.625040i
\(526\) 68.8511 33.1569i 3.00205 1.44571i
\(527\) 15.7562 2.37486i 0.686350 0.103451i
\(528\) 19.0145 + 12.9639i 0.827500 + 0.564180i
\(529\) 13.1609 12.2116i 0.572215 0.530938i
\(530\) −25.9736 + 17.7085i −1.12822 + 0.769209i
\(531\) 6.26106 27.4315i 0.271707 1.19042i
\(532\) 57.1250 + 21.2913i 2.47668 + 0.923095i
\(533\) 0.957627 + 4.19564i 0.0414794 + 0.181733i
\(534\) −75.8789 70.4053i −3.28360 3.04674i
\(535\) −16.2348 2.44700i −0.701890 0.105793i
\(536\) −5.82935 + 1.79812i −0.251790 + 0.0776668i
\(537\) −4.74061 + 63.2591i −0.204573 + 2.72983i
\(538\) 55.3086 2.38452
\(539\) 6.99584 0.241225i 0.301332 0.0103903i
\(540\) −0.435371 −0.0187354
\(541\) 0.696968 9.30039i 0.0299650 0.399855i −0.961974 0.273140i \(-0.911938\pi\)
0.991939 0.126715i \(-0.0404433\pi\)
\(542\) −12.0572 + 3.71916i −0.517902 + 0.159752i
\(543\) 18.5422 + 2.79479i 0.795723 + 0.119936i
\(544\) −16.7884 15.5774i −0.719797 0.667874i
\(545\) −2.49183 10.9174i −0.106738 0.467652i
\(546\) −13.8159 + 21.0341i −0.591266 + 0.900175i
\(547\) −6.44871 + 28.2536i −0.275727 + 1.20804i 0.627411 + 0.778688i \(0.284115\pi\)
−0.903138 + 0.429350i \(0.858743\pi\)
\(548\) 43.7889 29.8548i 1.87057 1.27533i
\(549\) 27.1426 25.1847i 1.15842 1.07486i
\(550\) −7.49334 5.10887i −0.319517 0.217843i
\(551\) 13.1993 1.98948i 0.562310 0.0847546i
\(552\) −36.0639 + 17.3675i −1.53498 + 0.739209i
\(553\) −33.1762 6.97301i −1.41079 0.296522i
\(554\) 3.26557 + 1.57262i 0.138741 + 0.0668141i
\(555\) 31.6026 + 9.74811i 1.34146 + 0.413784i
\(556\) −36.5343 + 93.0880i −1.54940 + 3.94781i
\(557\) −5.53166 9.58111i −0.234384 0.405965i 0.724710 0.689054i \(-0.241974\pi\)
−0.959093 + 0.283090i \(0.908641\pi\)
\(558\) 26.8570 46.5177i 1.13695 1.96925i
\(559\) 3.45782 + 4.33597i 0.146250 + 0.183392i
\(560\) 20.5153 22.8891i 0.866932 0.967239i
\(561\) −3.49912 + 4.38776i −0.147733 + 0.185251i
\(562\) −16.7510 42.6810i −0.706600 1.80039i
\(563\) 1.60024 + 21.3538i 0.0674422 + 0.899954i 0.923629 + 0.383288i \(0.125208\pi\)
−0.856187 + 0.516666i \(0.827173\pi\)
\(564\) −6.41885 85.6536i −0.270282 3.60667i
\(565\) −6.02717 15.3570i −0.253565 0.646073i
\(566\) 22.1124 27.7281i 0.929453 1.16550i
\(567\) 24.0085 + 1.38361i 1.00826 + 0.0581060i
\(568\) −11.9599 14.9972i −0.501825 0.629268i
\(569\) 14.4520 25.0316i 0.605860 1.04938i −0.386055 0.922476i \(-0.626163\pi\)
0.991915 0.126904i \(-0.0405041\pi\)
\(570\) −18.8701 32.6840i −0.790382 1.36898i
\(571\) −4.86106 + 12.3858i −0.203429 + 0.518329i −0.995784 0.0917320i \(-0.970760\pi\)
0.792355 + 0.610061i \(0.208855\pi\)
\(572\) 6.84485 + 2.11136i 0.286197 + 0.0882802i
\(573\) −20.0182 9.64024i −0.836271 0.402727i
\(574\) 0.342601 + 19.8776i 0.0142999 + 0.829675i
\(575\) 7.04050 3.39053i 0.293609 0.141395i
\(576\) −21.0198 + 3.16822i −0.875824 + 0.132009i
\(577\) 13.1689 + 8.97842i 0.548230 + 0.373777i 0.805530 0.592555i \(-0.201881\pi\)
−0.257301 + 0.966331i \(0.582833\pi\)
\(578\) −22.4069 + 20.7905i −0.932002 + 0.864772i
\(579\) 5.45372 3.71829i 0.226649 0.154527i
\(580\) 3.65912 16.0317i 0.151937 0.665679i
\(581\) −0.531497 + 3.99189i −0.0220502 + 0.165611i
\(582\) −10.9140 47.8172i −0.452398 1.98209i
\(583\) −7.16597 6.64905i −0.296784 0.275375i
\(584\) −53.7751 8.10529i −2.22523 0.335399i
\(585\) 5.22681 1.61226i 0.216102 0.0666586i
\(586\) 0.994584 13.2718i 0.0410859 0.548253i
\(587\) 33.2564 1.37264 0.686319 0.727301i \(-0.259225\pi\)
0.686319 + 0.727301i \(0.259225\pi\)
\(588\) −58.1868 + 57.8466i −2.39958 + 2.38555i
\(589\) −33.3209 −1.37296
\(590\) −2.27677 + 30.3814i −0.0937333 + 1.25078i
\(591\) 4.77933 1.47423i 0.196595 0.0606417i
\(592\) −102.205 15.4049i −4.20060 0.633139i
\(593\) −15.4749 14.3586i −0.635477 0.589637i 0.295219 0.955430i \(-0.404607\pi\)
−0.930696 + 0.365793i \(0.880798\pi\)
\(594\) −0.0426859 0.187019i −0.00175143 0.00767350i
\(595\) 5.19237 + 5.40613i 0.212866 + 0.221630i
\(596\) −14.1185 + 61.8571i −0.578315 + 2.53376i
\(597\) 37.4588 25.5390i 1.53309 1.04524i
\(598\) −6.41063 + 5.94819i −0.262150 + 0.243240i
\(599\) 28.2768 + 19.2788i 1.15536 + 0.787711i 0.980430 0.196870i \(-0.0630778\pi\)
0.174930 + 0.984581i \(0.444030\pi\)
\(600\) 61.2915 9.23820i 2.50221 0.377148i
\(601\) 9.90364 4.76934i 0.403978 0.194546i −0.220850 0.975308i \(-0.570883\pi\)
0.624828 + 0.780762i \(0.285169\pi\)
\(602\) 11.5122 + 22.8877i 0.469201 + 0.932833i
\(603\) −2.23828 1.07790i −0.0911500 0.0438955i
\(604\) 72.8083 + 22.4584i 2.96253 + 0.913818i
\(605\) −0.450630 + 1.14819i −0.0183207 + 0.0466804i
\(606\) 9.99816 + 17.3173i 0.406147 + 0.703468i
\(607\) −21.3082 + 36.9070i −0.864875 + 1.49801i 0.00229614 + 0.999997i \(0.499269\pi\)
−0.867171 + 0.498010i \(0.834064\pi\)
\(608\) 29.8601 + 37.4434i 1.21099 + 1.51853i
\(609\) −4.99866 + 17.2556i −0.202556 + 0.699231i
\(610\) −24.9973 + 31.3457i −1.01211 + 1.26915i
\(611\) −3.99760 10.1857i −0.161726 0.412070i
\(612\) −2.44552 32.6332i −0.0988542 1.31912i
\(613\) 0.504321 + 6.72970i 0.0203693 + 0.271810i 0.998084 + 0.0618721i \(0.0197071\pi\)
−0.977715 + 0.209938i \(0.932674\pi\)
\(614\) −2.51227 6.40117i −0.101387 0.258330i
\(615\) 5.41562 6.79098i 0.218379 0.273839i
\(616\) 16.8735 + 9.35800i 0.679854 + 0.377044i
\(617\) 5.71858 + 7.17087i 0.230221 + 0.288688i 0.883502 0.468427i \(-0.155179\pi\)
−0.653281 + 0.757116i \(0.726608\pi\)
\(618\) −2.07007 + 3.58547i −0.0832704 + 0.144229i
\(619\) −10.4822 18.1557i −0.421314 0.729738i 0.574754 0.818326i \(-0.305098\pi\)
−0.996068 + 0.0885886i \(0.971764\pi\)
\(620\) −14.9965 + 38.2106i −0.602276 + 1.53457i
\(621\) 0.157944 + 0.0487191i 0.00633806 + 0.00195503i
\(622\) 6.54830 + 3.15350i 0.262563 + 0.126444i
\(623\) −34.0694 26.2218i −1.36496 1.05055i
\(624\) −30.9599 + 14.9095i −1.23939 + 0.596859i
\(625\) −4.44345 + 0.669743i −0.177738 + 0.0267897i
\(626\) −25.6343 17.4772i −1.02455 0.698528i
\(627\) 8.60304 7.98245i 0.343572 0.318789i
\(628\) −65.4777 + 44.6419i −2.61284 + 1.78141i
\(629\) 5.60882 24.5739i 0.223638 0.979824i
\(630\) 25.1614 2.32225i 1.00245 0.0925207i
\(631\) −5.30371 23.2371i −0.211137 0.925054i −0.963796 0.266642i \(-0.914086\pi\)
0.752658 0.658412i \(-0.228771\pi\)
\(632\) −68.4998 63.5586i −2.72478 2.52822i
\(633\) 60.2997 + 9.08871i 2.39670 + 0.361244i
\(634\) −59.6394 + 18.3963i −2.36858 + 0.730611i
\(635\) −0.822841 + 10.9801i −0.0326535 + 0.435730i
\(636\) 114.581 4.54343
\(637\) −4.91108 + 9.22662i −0.194584 + 0.365572i
\(638\) 7.24537 0.286847
\(639\) 0.583769 7.78986i 0.0230936 0.308162i
\(640\) −1.50945 + 0.465602i −0.0596661 + 0.0184046i
\(641\) 39.0253 + 5.88212i 1.54141 + 0.232330i 0.864081 0.503353i \(-0.167900\pi\)
0.677327 + 0.735682i \(0.263138\pi\)
\(642\) 62.1563 + 57.6726i 2.45311 + 2.27616i
\(643\) 3.27783 + 14.3611i 0.129265 + 0.566348i 0.997530 + 0.0702462i \(0.0223785\pi\)
−0.868265 + 0.496102i \(0.834764\pi\)
\(644\) −24.4428 + 14.6794i −0.963180 + 0.578449i
\(645\) 2.49080 10.9129i 0.0980750 0.429695i
\(646\) −23.7658 + 16.2032i −0.935052 + 0.637508i
\(647\) −29.1261 + 27.0251i −1.14507 + 1.06247i −0.147767 + 0.989022i \(0.547209\pi\)
−0.997299 + 0.0734446i \(0.976601\pi\)
\(648\) 54.7688 + 37.3407i 2.15152 + 1.46688i
\(649\) −9.36826 + 1.41204i −0.367736 + 0.0554273i
\(650\) 12.2009 5.87563i 0.478557 0.230461i
\(651\) 18.7583 40.7333i 0.735198 1.59646i
\(652\) −91.4662 44.0478i −3.58209 1.72505i
\(653\) −14.1411 4.36194i −0.553383 0.170696i 0.00543688 0.999985i \(-0.498269\pi\)
−0.558820 + 0.829289i \(0.688746\pi\)
\(654\) −21.1287 + 53.8351i −0.826199 + 2.10512i
\(655\) −13.0052 22.5257i −0.508156 0.880152i
\(656\) −13.5731 + 23.5094i −0.529942 + 0.917887i
\(657\) −13.8082 17.3150i −0.538710 0.675521i
\(658\) −8.39403 49.8462i −0.327234 1.94321i
\(659\) −24.5420 + 30.7747i −0.956020 + 1.19881i 0.0239591 + 0.999713i \(0.492373\pi\)
−0.979979 + 0.199099i \(0.936199\pi\)
\(660\) −5.28193 13.4581i −0.205599 0.523857i
\(661\) 0.142514 + 1.90172i 0.00554316 + 0.0739684i 0.999289 0.0376945i \(-0.0120014\pi\)
−0.993746 + 0.111663i \(0.964382\pi\)
\(662\) 3.76611 + 50.2552i 0.146374 + 1.95322i
\(663\) −3.06154 7.80066i −0.118900 0.302953i
\(664\) −6.92094 + 8.67859i −0.268585 + 0.336795i
\(665\) −9.05187 12.7971i −0.351016 0.496251i
\(666\) −52.9771 66.4312i −2.05282 2.57416i
\(667\) −3.12144 + 5.40649i −0.120863 + 0.209340i
\(668\) −29.7463 51.5221i −1.15092 1.99345i
\(669\) 24.9896 63.6724i 0.966153 2.46172i
\(670\) 2.57050 + 0.792893i 0.0993069 + 0.0306321i
\(671\) −11.2328 5.40942i −0.433636 0.208828i
\(672\) −62.5830 + 15.4235i −2.41419 + 0.594974i
\(673\) −37.3371 + 17.9806i −1.43924 + 0.693101i −0.980690 0.195569i \(-0.937345\pi\)
−0.458549 + 0.888669i \(0.651630\pi\)
\(674\) 72.0516 10.8600i 2.77532 0.418313i
\(675\) −0.211475 0.144181i −0.00813967 0.00554953i
\(676\) 37.8753 35.1432i 1.45674 1.35166i
\(677\) 25.9558 17.6964i 0.997564 0.680127i 0.0496869 0.998765i \(-0.484178\pi\)
0.947877 + 0.318638i \(0.103225\pi\)
\(678\) −18.9589 + 83.0642i −0.728111 + 3.19006i
\(679\) −6.33902 19.3596i −0.243269 0.742953i
\(680\) 4.59759 + 20.1434i 0.176310 + 0.772463i
\(681\) −24.6103 22.8350i −0.943068 0.875039i
\(682\) −17.8842 2.69561i −0.684821 0.103220i
\(683\) −11.3843 + 3.51159i −0.435608 + 0.134367i −0.504801 0.863236i \(-0.668434\pi\)
0.0691924 + 0.997603i \(0.477958\pi\)
\(684\) −5.11397 + 68.2412i −0.195538 + 2.60927i
\(685\) −13.6267 −0.520651
\(686\) −30.9691 + 37.0454i −1.18241 + 1.41440i
\(687\) 0.325467 0.0124173
\(688\) −2.61429 + 34.8853i −0.0996690 + 1.32999i
\(689\) 13.9481 4.30242i 0.531380 0.163909i
\(690\) 17.4535 + 2.63069i 0.664442 + 0.100149i
\(691\) −25.0038 23.2002i −0.951190 0.882576i 0.0419953 0.999118i \(-0.486629\pi\)
−0.993186 + 0.116542i \(0.962819\pi\)
\(692\) 4.98400 + 21.8363i 0.189463 + 0.830093i
\(693\) 2.44511 + 7.46746i 0.0928821 + 0.283665i
\(694\) −6.13657 + 26.8861i −0.232941 + 1.02058i
\(695\) 21.2443 14.4841i 0.805840 0.549413i
\(696\) −36.2998 + 33.6813i −1.37594 + 1.27668i
\(697\) −5.46974 3.72920i −0.207181 0.141254i
\(698\) −29.8032 + 4.49211i −1.12807 + 0.170029i
\(699\) −35.3486 + 17.0230i −1.33701 + 0.643868i
\(700\) 42.8685 10.5649i 1.62028 0.399315i
\(701\) −6.01351 2.89596i −0.227127 0.109379i 0.316860 0.948472i \(-0.397372\pi\)
−0.543987 + 0.839094i \(0.683086\pi\)
\(702\) 0.273709 + 0.0844280i 0.0103305 + 0.00318653i
\(703\) −19.2569 + 49.0658i −0.726288 + 1.85055i
\(704\) 3.57879 + 6.19864i 0.134881 + 0.233620i
\(705\) −11.0424 + 19.1261i −0.415882 + 0.720329i
\(706\) 40.0140 + 50.1760i 1.50595 + 1.88840i
\(707\) 4.79605 + 6.78044i 0.180374 + 0.255005i
\(708\) 69.2370 86.8204i 2.60209 3.26291i
\(709\) −3.12031 7.95042i −0.117186 0.298584i 0.860231 0.509904i \(-0.170319\pi\)
−0.977417 + 0.211320i \(0.932224\pi\)
\(710\) 0.632104 + 8.43485i 0.0237225 + 0.316554i
\(711\) −2.84380 37.9479i −0.106651 1.42316i
\(712\) −43.2939 110.311i −1.62251 4.13408i
\(713\) 9.71630 12.1839i 0.363878 0.456289i
\(714\) −6.42852 38.1744i −0.240581 1.42864i
\(715\) −1.14832 1.43995i −0.0429447 0.0538509i
\(716\) −62.2752 + 107.864i −2.32733 + 4.03106i
\(717\) 1.37289 + 2.37791i 0.0512714 + 0.0888047i
\(718\) 13.4590 34.2929i 0.502285 1.27980i
\(719\) 17.5416 + 5.41087i 0.654191 + 0.201791i 0.604045 0.796951i \(-0.293555\pi\)
0.0501468 + 0.998742i \(0.484031\pi\)
\(720\) 31.0862 + 14.9703i 1.15851 + 0.557911i
\(721\) −0.719277 + 1.56189i −0.0267873 + 0.0581679i
\(722\) 9.56286 4.60523i 0.355893 0.171389i
\(723\) −30.4864 + 4.59509i −1.13380 + 0.170893i
\(724\) 30.4194 + 20.7396i 1.13053 + 0.770782i
\(725\) 7.08654 6.57535i 0.263188 0.244202i
\(726\) 5.26325 3.58842i 0.195338 0.133179i
\(727\) 6.58449 28.8485i 0.244205 1.06993i −0.692941 0.720995i \(-0.743685\pi\)
0.937146 0.348938i \(-0.113458\pi\)
\(728\) −24.6987 + 14.8331i −0.915394 + 0.549751i
\(729\) 5.88685 + 25.7920i 0.218031 + 0.955258i
\(730\) 17.5789 + 16.3108i 0.650622 + 0.603689i
\(731\) −8.43589 1.27151i −0.312013 0.0470284i
\(732\) 139.641 43.0735i 5.16128 1.59204i
\(733\) −0.954339 + 12.7348i −0.0352493 + 0.470370i 0.951449 + 0.307807i \(0.0995950\pi\)
−0.986698 + 0.162563i \(0.948024\pi\)
\(734\) −43.8556 −1.61874
\(735\) 20.7398 3.86122i 0.764998 0.142423i
\(736\) −22.3984 −0.825617
\(737\) −0.0625117 + 0.834161i −0.00230265 + 0.0307267i
\(738\) −21.3247 + 6.57780i −0.784974 + 0.242132i
\(739\) 19.1217 + 2.88213i 0.703402 + 0.106021i 0.490998 0.871161i \(-0.336632\pi\)
0.212405 + 0.977182i \(0.431870\pi\)
\(740\) 47.5992 + 44.1656i 1.74978 + 1.62356i
\(741\) 3.89941 + 17.0844i 0.143248 + 0.627613i
\(742\) 67.1448 6.19709i 2.46496 0.227502i
\(743\) 0.204727 0.896969i 0.00751072 0.0329066i −0.971034 0.238943i \(-0.923199\pi\)
0.978544 + 0.206036i \(0.0660564\pi\)
\(744\) 102.132 69.6323i 3.74434 2.55285i
\(745\) 11.9587 11.0961i 0.438133 0.406528i
\(746\) 48.3415 + 32.9587i 1.76991 + 1.20670i
\(747\) −4.46999 + 0.673743i −0.163549 + 0.0246510i
\(748\) −9.92763 + 4.78089i −0.362990 + 0.174807i
\(749\) 27.9080 + 21.4796i 1.01974 + 0.784848i
\(750\) −60.0211 28.9047i −2.19166 1.05545i
\(751\) −13.3678 4.12344i −0.487800 0.150466i 0.0410924 0.999155i \(-0.486916\pi\)
−0.528892 + 0.848689i \(0.677392\pi\)
\(752\) 25.2165 64.2506i 0.919551 2.34298i
\(753\) 11.4195 + 19.7791i 0.416149 + 0.720791i
\(754\) −5.40931 + 9.36920i −0.196995 + 0.341206i
\(755\) −12.2146 15.3166i −0.444535 0.557429i
\(756\) 0.816682 + 0.452929i 0.0297024 + 0.0164729i
\(757\) 25.0700 31.4368i 0.911186 1.14259i −0.0781501 0.996942i \(-0.524901\pi\)
0.989336 0.145650i \(-0.0465272\pi\)
\(758\) 14.2870 + 36.4026i 0.518927 + 1.32220i
\(759\) 0.410174 + 5.47339i 0.0148884 + 0.198671i
\(760\) −3.22881 43.0855i −0.117121 1.56287i
\(761\) −9.74846 24.8387i −0.353381 0.900401i −0.991458 0.130428i \(-0.958365\pi\)
0.638076 0.769973i \(-0.279730\pi\)
\(762\) 35.4549 44.4590i 1.28440 1.61058i
\(763\) −6.68346 + 23.0716i −0.241958 + 0.835248i
\(764\) −27.1988 34.1062i −0.984018 1.23392i
\(765\) −4.20706 + 7.28684i −0.152106 + 0.263456i
\(766\) 7.30536 + 12.6533i 0.263953 + 0.457181i
\(767\) 5.16828 13.1686i 0.186616 0.475490i
\(768\) 41.2183 + 12.7142i 1.48734 + 0.458783i
\(769\) 5.09659 + 2.45439i 0.183788 + 0.0885076i 0.523515 0.852016i \(-0.324620\pi\)
−0.339727 + 0.940524i \(0.610335\pi\)
\(770\) −3.82311 7.60084i −0.137775 0.273915i
\(771\) 18.6542 8.98340i 0.671815 0.323529i
\(772\) 12.8149 1.93154i 0.461219 0.0695175i
\(773\) 20.1768 + 13.7563i 0.725709 + 0.494780i 0.868945 0.494909i \(-0.164798\pi\)
−0.143236 + 0.989689i \(0.545751\pi\)
\(774\) −21.0815 + 19.5608i −0.757760 + 0.703099i
\(775\) −19.9385 + 13.5938i −0.716211 + 0.488304i
\(776\) 12.4947 54.7427i 0.448532 1.96515i
\(777\) −49.1399 51.1629i −1.76288 1.83546i
\(778\) −0.290556 1.27301i −0.0104169 0.0456395i
\(779\) 10.1481 + 9.41603i 0.363592 + 0.337364i
\(780\) 21.3465 + 3.21747i 0.764328 + 0.115204i
\(781\) −2.51345 + 0.775296i −0.0899382 + 0.0277423i
\(782\) 1.00530 13.4148i 0.0359496 0.479714i
\(783\) 0.204477 0.00730740
\(784\) −62.2954 + 21.5933i −2.22484 + 0.771189i
\(785\) 20.3761 0.727253
\(786\) −10.0385 + 133.955i −0.358062 + 4.77801i
\(787\) −21.9665 + 6.77577i −0.783022 + 0.241530i −0.660391 0.750922i \(-0.729609\pi\)
−0.122631 + 0.992452i \(0.539133\pi\)
\(788\) 9.71027 + 1.46359i 0.345914 + 0.0521381i
\(789\) 52.4993 + 48.7122i 1.86902 + 1.73420i
\(790\) 9.16901 + 40.1720i 0.326219 + 1.42926i
\(791\) −4.67034 + 35.0773i −0.166058 + 1.24721i
\(792\) −4.81949 + 21.1156i −0.171253 + 0.750310i
\(793\) 15.3813 10.4868i 0.546207 0.372398i
\(794\) 22.2546 20.6492i 0.789786 0.732814i
\(795\) −24.3417 16.5959i −0.863310 0.588595i
\(796\) 88.0189 13.2667i 3.11975 0.470226i
\(797\) 36.1481 17.4080i 1.28043 0.616623i 0.334929 0.942243i \(-0.391288\pi\)
0.945501 + 0.325621i \(0.105573\pi\)
\(798\) 1.39505 + 80.9407i 0.0493844 + 2.86527i
\(799\) 15.1651 + 7.30314i 0.536504 + 0.258367i
\(800\) 33.1433 + 10.2234i 1.17179 + 0.361450i
\(801\) 17.6310 44.9230i 0.622960 1.58728i
\(802\) −15.3009 26.5019i −0.540292 0.935814i
\(803\) −3.72854 + 6.45802i −0.131577 + 0.227898i
\(804\) −6.11318 7.66568i −0.215595 0.270348i
\(805\) 7.31881 + 0.421781i 0.257954 + 0.0148658i
\(806\) 16.8379 21.1141i 0.593090 0.743711i
\(807\) 18.9369 + 48.2504i 0.666610 + 1.69849i
\(808\) 1.71076 + 22.8284i 0.0601842 + 0.803102i
\(809\) 2.70461 + 36.0906i 0.0950892 + 1.26888i 0.816897 + 0.576783i \(0.195692\pi\)
−0.721808 + 0.692093i \(0.756689\pi\)
\(810\) −10.6788 27.2091i −0.375215 0.956032i
\(811\) −2.59737 + 3.25700i −0.0912060 + 0.114369i −0.825340 0.564635i \(-0.809017\pi\)
0.734134 + 0.679004i \(0.237588\pi\)
\(812\) −23.5421 + 26.2660i −0.826165 + 0.921756i
\(813\) −7.37276 9.24515i −0.258574 0.324242i
\(814\) −14.3050 + 24.7771i −0.501392 + 0.868436i
\(815\) 13.0513 + 22.6055i 0.457167 + 0.791837i
\(816\) 19.3119 49.2059i 0.676051 1.72255i
\(817\) 17.0475 + 5.25845i 0.596416 + 0.183970i
\(818\) −22.2611 10.7204i −0.778340 0.374829i
\(819\) −11.4819 2.41327i −0.401209 0.0843266i
\(820\) 15.3651 7.39943i 0.536572 0.258399i
\(821\) 6.36939 0.960031i 0.222293 0.0335053i −0.0369511 0.999317i \(-0.511765\pi\)
0.259244 + 0.965812i \(0.416526\pi\)
\(822\) 58.1465 + 39.6436i 2.02809 + 1.38273i
\(823\) 9.58772 8.89611i 0.334207 0.310099i −0.495161 0.868801i \(-0.664891\pi\)
0.829368 + 0.558702i \(0.188701\pi\)
\(824\) −3.91618 + 2.67001i −0.136427 + 0.0930141i
\(825\) 1.89129 8.28628i 0.0658463 0.288491i
\(826\) 35.8775 54.6218i 1.24834 1.90054i
\(827\) 4.38776 + 19.2240i 0.152577 + 0.668485i 0.992131 + 0.125208i \(0.0399597\pi\)
−0.839553 + 0.543277i \(0.817183\pi\)
\(828\) −23.4613 21.7689i −0.815338 0.756523i
\(829\) 15.4729 + 2.33217i 0.537397 + 0.0809996i 0.412133 0.911124i \(-0.364784\pi\)
0.125264 + 0.992123i \(0.460022\pi\)
\(830\) 4.67731 1.44276i 0.162352 0.0500789i
\(831\) −0.253842 + 3.38728i −0.00880567 + 0.117504i
\(832\) −10.6875 −0.370523
\(833\) −4.11586 15.5427i −0.142606 0.538524i
\(834\) −132.789 −4.59811
\(835\) −1.14312 + 15.2539i −0.0395593 + 0.527882i
\(836\) 22.0185 6.79179i 0.761524 0.234899i
\(837\) −0.504722 0.0760747i −0.0174458 0.00262953i
\(838\) 38.6135 + 35.8281i 1.33388 + 1.23766i
\(839\) 12.6783 + 55.5473i 0.437704 + 1.91771i 0.395164 + 0.918611i \(0.370688\pi\)
0.0425396 + 0.999095i \(0.486455\pi\)
\(840\) 54.4877 + 20.3084i 1.88001 + 0.700705i
\(841\) 4.73456 20.7435i 0.163261 0.715292i
\(842\) −59.3449 + 40.4607i −2.04516 + 1.39437i
\(843\) 31.4989 29.2267i 1.08488 1.00662i
\(844\) 98.9246 + 67.4457i 3.40513 + 2.32158i
\(845\) −13.1364 + 1.98000i −0.451906 + 0.0681139i
\(846\) 51.1216 24.6189i 1.75760 0.846415i
\(847\) 2.03980 1.68500i 0.0700883 0.0578973i
\(848\) 82.9557 + 39.9494i 2.84871 + 1.37187i
\(849\) 31.7605 + 9.79683i 1.09002 + 0.336226i
\(850\) −7.61053 + 19.3913i −0.261039 + 0.665117i
\(851\) −12.3258 21.3488i −0.422521 0.731828i
\(852\) 15.4152 26.6998i 0.528114 0.914721i
\(853\) −26.4666 33.1881i −0.906200 1.13634i −0.990170 0.139871i \(-0.955331\pi\)
0.0839693 0.996468i \(-0.473240\pi\)
\(854\) 79.5005 32.7937i 2.72045 1.12218i
\(855\) 10.9705 13.7565i 0.375182 0.470464i
\(856\) 35.4643 + 90.3615i 1.21214 + 3.08849i
\(857\) −1.55532 20.7543i −0.0531286 0.708952i −0.958638 0.284627i \(-0.908130\pi\)
0.905510 0.424326i \(-0.139489\pi\)
\(858\) 0.710812 + 9.48513i 0.0242667 + 0.323817i
\(859\) −15.7874 40.2258i −0.538661 1.37249i −0.898295 0.439392i \(-0.855194\pi\)
0.359635 0.933093i \(-0.382901\pi\)
\(860\) 13.7026 17.1825i 0.467254 0.585918i
\(861\) −17.2236 + 7.10470i −0.586980 + 0.242127i
\(862\) −33.7699 42.3462i −1.15021 1.44232i
\(863\) −5.10179 + 8.83655i −0.173667 + 0.300800i −0.939699 0.342002i \(-0.888895\pi\)
0.766032 + 0.642802i \(0.222228\pi\)
\(864\) 0.366815 + 0.635341i 0.0124793 + 0.0216148i
\(865\) 2.10397 5.36082i 0.0715370 0.182273i
\(866\) −34.9038 10.7664i −1.18608 0.365858i
\(867\) −25.8091 12.4290i −0.876525 0.422112i
\(868\) 67.8825 56.0752i 2.30408 1.90332i
\(869\) −11.5445 + 5.55952i −0.391619 + 0.188594i
\(870\) 21.5917 3.25443i 0.732029 0.110336i
\(871\) −1.03201 0.703610i −0.0349682 0.0238409i
\(872\) −48.5346 + 45.0336i −1.64359 + 1.52503i
\(873\) 18.8933 12.8813i 0.639442 0.435964i
\(874\) −6.25979 + 27.4259i −0.211741 + 0.927696i
\(875\) −25.9268 9.66330i −0.876486 0.326679i
\(876\) −19.4496 85.2144i −0.657142 2.87913i
\(877\) −25.0630 23.2551i −0.846318 0.785269i 0.132245 0.991217i \(-0.457782\pi\)
−0.978563 + 0.205949i \(0.933972\pi\)
\(878\) −18.3774 2.76995i −0.620208 0.0934814i
\(879\) 11.9187 3.67642i 0.402006 0.124002i
\(880\) 0.868188 11.5852i 0.0292666 0.390536i
\(881\) 27.0475 0.911255 0.455627 0.890171i \(-0.349415\pi\)
0.455627 + 0.890171i \(0.349415\pi\)
\(882\) −49.6144 21.8199i −1.67060 0.734715i
\(883\) 56.3850 1.89751 0.948754 0.316017i \(-0.102346\pi\)
0.948754 + 0.316017i \(0.102346\pi\)
\(884\) 1.22954 16.4071i 0.0413539 0.551829i
\(885\) −27.2838 + 8.41595i −0.917136 + 0.282899i
\(886\) −52.6164 7.93064i −1.76768 0.266435i
\(887\) −31.7061 29.4189i −1.06459 0.987791i −0.0646369 0.997909i \(-0.520589\pi\)
−0.999949 + 0.0101177i \(0.996779\pi\)
\(888\) −43.5110 190.634i −1.46013 6.39726i
\(889\) 12.9664 19.7407i 0.434878 0.662081i
\(890\) −11.6278 + 50.9445i −0.389763 + 1.70766i
\(891\) 7.51004 5.12026i 0.251596 0.171535i
\(892\) 98.4466 91.3451i 3.29624 3.05846i
\(893\) −29.0824 19.8280i −0.973204 0.663519i
\(894\) −83.3102 + 12.5570i −2.78631 + 0.419969i
\(895\) 28.8528 13.8948i 0.964442 0.464451i
\(896\) 3.31584 + 0.696928i 0.110775 + 0.0232827i
\(897\) −7.38403 3.55596i −0.246546 0.118730i
\(898\) −36.0853 11.1308i −1.20418 0.371441i
\(899\) 7.04329 17.9460i 0.234907 0.598533i
\(900\) 24.7801 + 42.9204i 0.826003 + 1.43068i
\(901\) −11.2268 + 19.4454i −0.374020 + 0.647821i
\(902\) 4.68499 + 5.87480i 0.155993 + 0.195609i
\(903\) −16.0253 + 17.8795i −0.533288 + 0.594992i
\(904\) −60.8153 + 76.2600i −2.02269 + 2.53637i
\(905\) −3.45842 8.81190i −0.114962 0.292917i
\(906\) 7.56087 + 100.893i 0.251193 + 3.35194i
\(907\) 0.0293326 + 0.391416i 0.000973972 + 0.0129968i 0.997670 0.0682301i \(-0.0217352\pi\)
−0.996696 + 0.0812269i \(0.974116\pi\)
\(908\) −24.0817 61.3590i −0.799178 2.03627i
\(909\) −5.81261 + 7.28878i −0.192792 + 0.241753i
\(910\) 12.6832 + 0.730927i 0.420443 + 0.0242300i
\(911\) 30.8445 + 38.6778i 1.02192 + 1.28145i 0.958991 + 0.283435i \(0.0914741\pi\)
0.0629332 + 0.998018i \(0.479955\pi\)
\(912\) −55.2693 + 95.7292i −1.83015 + 3.16991i
\(913\) 0.761053 + 1.31818i 0.0251872 + 0.0436255i
\(914\) −26.6311 + 67.8548i −0.880877 + 2.24444i
\(915\) −35.9042 11.0750i −1.18696 0.366128i
\(916\) 0.575734 + 0.277259i 0.0190228 + 0.00916090i
\(917\) 0.961466 + 55.7841i 0.0317504 + 1.84215i
\(918\) −0.396982 + 0.191176i −0.0131024 + 0.00630976i
\(919\) −1.55216 + 0.233950i −0.0512010 + 0.00771731i −0.174593 0.984641i \(-0.555861\pi\)
0.123392 + 0.992358i \(0.460623\pi\)
\(920\) 16.6958 + 11.3830i 0.550445 + 0.375287i
\(921\) 4.72412 4.38334i 0.155665 0.144436i
\(922\) −25.2667 + 17.2265i −0.832113 + 0.567325i
\(923\) 0.873953 3.82904i 0.0287665 0.126034i
\(924\) −4.09287 + 30.7401i −0.134646 + 1.01127i
\(925\) 8.49433 + 37.2161i 0.279292 + 1.22366i
\(926\) −0.289653 0.268759i −0.00951858 0.00883195i
\(927\) −1.90866 0.287684i −0.0626886 0.00944878i
\(928\) −26.4781 + 8.16742i −0.869187 + 0.268109i
\(929\) −3.78276 + 50.4774i −0.124108 + 1.65611i 0.493590 + 0.869695i \(0.335684\pi\)
−0.617699 + 0.786415i \(0.711935\pi\)
\(930\) −54.5070 −1.78736
\(931\) 3.66656 + 33.4222i 0.120167 + 1.09537i
\(932\) −77.0314 −2.52325
\(933\) −0.509017 + 6.79236i −0.0166645 + 0.222372i
\(934\) 4.31312 1.33042i 0.141130 0.0435327i
\(935\) 2.80150 + 0.422258i 0.0916189 + 0.0138093i
\(936\) −23.7070 21.9969i −0.774887 0.718990i
\(937\) 0.343566 + 1.50526i 0.0112238 + 0.0491748i 0.980230 0.197863i \(-0.0634000\pi\)
−0.969006 + 0.247038i \(0.920543\pi\)
\(938\) −3.99694 4.16149i −0.130505 0.135877i
\(939\) 6.47000 28.3469i 0.211140 0.925067i
\(940\) −35.8266 + 24.4262i −1.16854 + 0.796695i
\(941\) −39.3709 + 36.5309i −1.28346 + 1.19087i −0.312956 + 0.949768i \(0.601319\pi\)
−0.970499 + 0.241105i \(0.922490\pi\)
\(942\) −86.9466 59.2792i −2.83287 1.93142i
\(943\) −6.40215 + 0.964969i −0.208483 + 0.0314237i
\(944\) 80.3976 38.7174i 2.61672 1.26015i
\(945\) −0.107895 0.214509i −0.00350981 0.00697797i
\(946\) 8.72444 + 4.20147i 0.283656 + 0.136601i
\(947\) −46.0129 14.1931i −1.49522 0.461214i −0.564031 0.825754i \(-0.690750\pi\)
−0.931188 + 0.364540i \(0.881226\pi\)
\(948\) 54.8699 139.806i 1.78209 4.54070i
\(949\) −5.56736 9.64296i −0.180724 0.313024i
\(950\) 21.7808 37.7255i 0.706663 1.22398i
\(951\) −36.4684 45.7299i −1.18257 1.48289i
\(952\) 12.3314 42.5685i 0.399663 1.37965i
\(953\) −17.0002 + 21.3176i −0.550690 + 0.690544i −0.976806 0.214125i \(-0.931310\pi\)
0.426116 + 0.904668i \(0.359882\pi\)
\(954\) 27.6531 + 70.4589i 0.895302 + 2.28119i
\(955\) 0.838203 + 11.1850i 0.0271236 + 0.361939i
\(956\) 0.402871 + 5.37594i 0.0130298 + 0.173870i
\(957\) 2.48071 + 6.32076i 0.0801901 + 0.204321i
\(958\) −23.3345 + 29.2605i −0.753903 + 0.945365i
\(959\) 25.5614 + 14.1763i 0.825422 + 0.457776i
\(960\) 13.4493 + 16.8649i 0.434075 + 0.544313i
\(961\) −8.56212 + 14.8300i −0.276198 + 0.478388i
\(962\) −21.3600 36.9965i −0.688673 1.19282i
\(963\) −14.4424 + 36.7987i −0.465401 + 1.18582i
\(964\) −57.8435 17.8423i −1.86301 0.574663i
\(965\) −3.00218 1.44577i −0.0966435 0.0465411i
\(966\) −30.0030 23.0921i −0.965330 0.742975i
\(967\) −19.4483 + 9.36580i −0.625415 + 0.301184i −0.719619 0.694369i \(-0.755684\pi\)
0.0942043 + 0.995553i \(0.469969\pi\)
\(968\) 7.21129 1.08693i 0.231780 0.0349351i
\(969\) −22.2725 15.1852i −0.715497 0.487817i
\(970\) −18.1504 + 16.8411i −0.582773 + 0.540734i
\(971\) 13.0601 8.90422i 0.419118 0.285750i −0.335341 0.942097i \(-0.608852\pi\)
0.754459 + 0.656347i \(0.227899\pi\)
\(972\) −23.4715 + 102.836i −0.752850 + 3.29845i
\(973\) −54.9188 + 5.06870i −1.76062 + 0.162495i
\(974\) −14.6562 64.2132i −0.469616 2.05752i
\(975\) 9.30322 + 8.63212i 0.297941 + 0.276449i
\(976\) 116.117 + 17.5018i 3.71681 + 0.560219i
\(977\) 17.3410 5.34900i 0.554788 0.171130i −0.00466840 0.999989i \(-0.501486\pi\)
0.559457 + 0.828860i \(0.311010\pi\)
\(978\) 10.0741 134.429i 0.322134 4.29858i
\(979\) −16.2494 −0.519334
\(980\) 39.9769 + 10.8375i 1.27702 + 0.346192i
\(981\) −26.9629 −0.860858
\(982\) 0.850768 11.3527i 0.0271491 0.362280i
\(983\) 40.0223 12.3452i 1.27651 0.393752i 0.418892 0.908036i \(-0.362418\pi\)
0.857620 + 0.514284i \(0.171942\pi\)
\(984\) −50.7820 7.65416i −1.61887 0.244006i
\(985\) −1.85087 1.71736i −0.0589738 0.0547197i
\(986\) −3.70321 16.2248i −0.117934 0.516704i
\(987\) 40.6111 24.3895i 1.29267 0.776326i
\(988\) −7.65605 + 33.5434i −0.243572 + 1.06716i
\(989\) −6.89378 + 4.70010i −0.219209 + 0.149454i
\(990\) 7.00103 6.49600i 0.222507 0.206457i
\(991\) −36.4641 24.8608i −1.15832 0.789730i −0.177401 0.984139i \(-0.556769\pi\)
−0.980921 + 0.194409i \(0.937721\pi\)
\(992\) 68.3962 10.3091i 2.17158 0.327313i
\(993\) −42.5524 + 20.4922i −1.35036 + 0.650300i
\(994\) 7.58929 16.4799i 0.240718 0.522712i
\(995\) −20.6204 9.93025i −0.653710 0.314810i
\(996\) −17.0483 5.25870i −0.540196 0.166628i
\(997\) −0.0706767 + 0.180081i −0.00223835 + 0.00570323i −0.931989 0.362488i \(-0.881927\pi\)
0.929750 + 0.368191i \(0.120023\pi\)
\(998\) 29.4008 + 50.9237i 0.930667 + 1.61196i
\(999\) −0.403713 + 0.699251i −0.0127729 + 0.0221233i
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 539.2.r.a.23.2 276
49.32 even 21 inner 539.2.r.a.375.2 yes 276
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
539.2.r.a.23.2 276 1.1 even 1 trivial
539.2.r.a.375.2 yes 276 49.32 even 21 inner