Properties

Label 648.2.bb.b.11.13
Level $648$
Weight $2$
Character 648.11
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [648,2,Mod(11,648)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(648, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([27, 27, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("648.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), 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: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 11.13
Character \(\chi\) \(=\) 648.11
Dual form 648.2.bb.b.59.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.32861 + 0.484545i) q^{2} +(-1.07834 + 1.35543i) q^{3} +(1.53043 - 1.28755i) q^{4} +(1.48986 + 0.174139i) q^{5} +(0.775925 - 2.32335i) q^{6} +(-0.383526 - 0.763663i) q^{7} +(-1.40948 + 2.45222i) q^{8} +(-0.674386 - 2.92322i) q^{9} +O(q^{10})\) \(q+(-1.32861 + 0.484545i) q^{2} +(-1.07834 + 1.35543i) q^{3} +(1.53043 - 1.28755i) q^{4} +(1.48986 + 0.174139i) q^{5} +(0.775925 - 2.32335i) q^{6} +(-0.383526 - 0.763663i) q^{7} +(-1.40948 + 2.45222i) q^{8} +(-0.674386 - 2.92322i) q^{9} +(-2.06382 + 0.490538i) q^{10} +(0.247101 + 0.106589i) q^{11} +(0.0948605 + 3.46280i) q^{12} +(-0.416809 - 1.75866i) q^{13} +(0.879587 + 0.828778i) q^{14} +(-1.84260 + 1.83162i) q^{15} +(0.684449 - 3.94101i) q^{16} +(7.49712 - 1.32194i) q^{17} +(2.31243 + 3.55706i) q^{18} +(0.656155 - 3.72124i) q^{19} +(2.50434 - 1.65175i) q^{20} +(1.44866 + 0.303642i) q^{21} +(-0.379949 - 0.0218842i) q^{22} +(-7.57780 - 3.80572i) q^{23} +(-1.80392 - 4.55477i) q^{24} +(-2.67588 - 0.634195i) q^{25} +(1.40593 + 2.13461i) q^{26} +(4.68943 + 2.23812i) q^{27} +(-1.57021 - 0.674927i) q^{28} +(1.06817 + 3.56792i) q^{29} +(1.56060 - 3.32633i) q^{30} +(-5.55393 - 8.44434i) q^{31} +(1.00022 + 5.56772i) q^{32} +(-0.410932 + 0.219990i) q^{33} +(-9.32024 + 5.38904i) q^{34} +(-0.438415 - 1.20453i) q^{35} +(-4.79588 - 3.60549i) q^{36} +(1.39309 - 3.82748i) q^{37} +(0.931330 + 5.26203i) q^{38} +(2.83320 + 1.33147i) q^{39} +(-2.52695 + 3.40800i) q^{40} +(4.70314 - 4.43718i) q^{41} +(-2.07184 + 0.298519i) q^{42} +(4.69896 + 6.31180i) q^{43} +(0.515410 - 0.155027i) q^{44} +(-0.495692 - 4.47261i) q^{45} +(11.9120 + 1.38454i) q^{46} +(10.2207 + 6.72224i) q^{47} +(4.60370 + 5.17745i) q^{48} +(3.74402 - 5.02909i) q^{49} +(3.86251 - 0.453982i) q^{50} +(-6.29260 + 11.5873i) q^{51} +(-2.90225 - 2.15485i) q^{52} +(-0.712181 - 1.23353i) q^{53} +(-7.31492 - 0.701364i) q^{54} +(0.349583 + 0.201832i) q^{55} +(2.41324 + 0.135880i) q^{56} +(4.33633 + 4.90211i) q^{57} +(-3.14800 - 4.22282i) q^{58} +(12.5002 - 5.39205i) q^{59} +(-0.461681 + 5.17559i) q^{60} +(8.93579 + 0.520450i) q^{61} +(11.4707 + 8.52814i) q^{62} +(-1.97371 + 1.63613i) q^{63} +(-4.02672 - 6.91271i) q^{64} +(-0.314735 - 2.69273i) q^{65} +(0.439375 - 0.491396i) q^{66} +(-2.07427 + 6.92855i) q^{67} +(9.77177 - 11.6760i) q^{68} +(13.3298 - 6.16735i) q^{69} +(1.16613 + 1.38793i) q^{70} +(-8.40109 + 7.04936i) q^{71} +(8.11890 + 2.46648i) q^{72} +(1.55470 + 1.30455i) q^{73} +(0.00370731 + 5.76026i) q^{74} +(3.74510 - 2.94309i) q^{75} +(-3.78707 - 6.53993i) q^{76} +(-0.0133716 - 0.229581i) q^{77} +(-4.40938 - 0.396193i) q^{78} +(-3.30837 - 3.12129i) q^{79} +(1.70601 - 5.75234i) q^{80} +(-8.09041 + 3.94276i) q^{81} +(-4.09865 + 8.17419i) q^{82} +(0.0528056 + 0.0498195i) q^{83} +(2.60803 - 1.40052i) q^{84} +(11.3998 - 0.663964i) q^{85} +(-9.30145 - 6.10909i) q^{86} +(-5.98791 - 2.39959i) q^{87} +(-0.609663 + 0.455710i) q^{88} +(-9.65696 + 11.5087i) q^{89} +(2.82576 + 5.70219i) q^{90} +(-1.18316 + 0.992792i) q^{91} +(-16.4974 + 3.93238i) q^{92} +(17.4347 + 1.57786i) q^{93} +(-16.8366 - 3.97889i) q^{94} +(1.62559 - 5.42984i) q^{95} +(-8.62524 - 4.64814i) q^{96} +(-1.48870 + 0.174005i) q^{97} +(-2.53754 + 8.49587i) q^{98} +(0.144941 - 0.794212i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872 q - 18 q^{2} - 36 q^{3} - 18 q^{4} - 18 q^{6} - 18 q^{8} - 36 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1872 q - 18 q^{2} - 36 q^{3} - 18 q^{4} - 18 q^{6} - 18 q^{8} - 36 q^{9} - 18 q^{10} - 36 q^{11} - 18 q^{12} - 18 q^{14} - 18 q^{16} - 36 q^{17} - 90 q^{18} - 36 q^{19} - 18 q^{20} - 18 q^{22} - 18 q^{24} - 36 q^{25} - 27 q^{26} - 36 q^{27} - 9 q^{28} - 18 q^{30} - 18 q^{32} - 36 q^{33} - 18 q^{34} - 36 q^{35} - 18 q^{36} + 90 q^{38} - 18 q^{40} - 36 q^{41} - 63 q^{42} - 36 q^{43} + 54 q^{44} - 18 q^{46} + 81 q^{48} - 36 q^{49} - 135 q^{50} - 54 q^{51} - 18 q^{52} - 144 q^{54} + 108 q^{56} - 36 q^{57} - 18 q^{58} + 18 q^{59} + 99 q^{60} - 117 q^{62} - 18 q^{64} - 36 q^{65} - 90 q^{66} - 36 q^{67} + 243 q^{68} - 18 q^{70} - 18 q^{72} - 36 q^{73} - 18 q^{74} - 36 q^{75} - 54 q^{76} - 45 q^{78} - 36 q^{81} - 36 q^{82} - 36 q^{83} + 9 q^{84} - 18 q^{86} + 54 q^{88} - 198 q^{89} - 81 q^{90} - 36 q^{91} - 108 q^{92} - 18 q^{94} - 423 q^{96} - 36 q^{97} - 189 q^{98} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32861 + 0.484545i −0.939472 + 0.342625i
\(3\) −1.07834 + 1.35543i −0.622577 + 0.782558i
\(4\) 1.53043 1.28755i 0.765216 0.643773i
\(5\) 1.48986 + 0.174139i 0.666284 + 0.0778774i 0.442510 0.896764i \(-0.354088\pi\)
0.223774 + 0.974641i \(0.428162\pi\)
\(6\) 0.775925 2.32335i 0.316770 0.948502i
\(7\) −0.383526 0.763663i −0.144959 0.288637i 0.809423 0.587227i \(-0.199780\pi\)
−0.954382 + 0.298589i \(0.903484\pi\)
\(8\) −1.40948 + 2.45222i −0.498327 + 0.866989i
\(9\) −0.674386 2.92322i −0.224795 0.974406i
\(10\) −2.06382 + 0.490538i −0.652638 + 0.155122i
\(11\) 0.247101 + 0.106589i 0.0745037 + 0.0321378i 0.433006 0.901391i \(-0.357453\pi\)
−0.358502 + 0.933529i \(0.616712\pi\)
\(12\) 0.0948605 + 3.46280i 0.0273839 + 0.999625i
\(13\) −0.416809 1.75866i −0.115602 0.487764i −0.999787 0.0206271i \(-0.993434\pi\)
0.884185 0.467137i \(-0.154714\pi\)
\(14\) 0.879587 + 0.828778i 0.235079 + 0.221500i
\(15\) −1.84260 + 1.83162i −0.475757 + 0.472921i
\(16\) 0.684449 3.94101i 0.171112 0.985252i
\(17\) 7.49712 1.32194i 1.81832 0.320619i 0.842416 0.538827i \(-0.181132\pi\)
0.975902 + 0.218208i \(0.0700213\pi\)
\(18\) 2.31243 + 3.55706i 0.545045 + 0.838407i
\(19\) 0.656155 3.72124i 0.150532 0.853710i −0.812225 0.583344i \(-0.801744\pi\)
0.962757 0.270367i \(-0.0871449\pi\)
\(20\) 2.50434 1.65175i 0.559987 0.369342i
\(21\) 1.44866 + 0.303642i 0.316124 + 0.0662600i
\(22\) −0.379949 0.0218842i −0.0810054 0.00466572i
\(23\) −7.57780 3.80572i −1.58008 0.793547i −0.580299 0.814404i \(-0.697064\pi\)
−0.999782 + 0.0208572i \(0.993360\pi\)
\(24\) −1.80392 4.55477i −0.368223 0.929738i
\(25\) −2.67588 0.634195i −0.535176 0.126839i
\(26\) 1.40593 + 2.13461i 0.275725 + 0.418632i
\(27\) 4.68943 + 2.23812i 0.902482 + 0.430727i
\(28\) −1.57021 0.674927i −0.296742 0.127549i
\(29\) 1.06817 + 3.56792i 0.198353 + 0.662546i 0.998066 + 0.0621633i \(0.0198000\pi\)
−0.799713 + 0.600383i \(0.795015\pi\)
\(30\) 1.56060 3.32633i 0.284926 0.607302i
\(31\) −5.55393 8.44434i −0.997515 1.51665i −0.849450 0.527670i \(-0.823066\pi\)
−0.148065 0.988978i \(-0.547305\pi\)
\(32\) 1.00022 + 5.56772i 0.176816 + 0.984244i
\(33\) −0.410932 + 0.219990i −0.0715340 + 0.0382953i
\(34\) −9.32024 + 5.38904i −1.59841 + 0.924213i
\(35\) −0.438415 1.20453i −0.0741056 0.203603i
\(36\) −4.79588 3.60549i −0.799314 0.600914i
\(37\) 1.39309 3.82748i 0.229022 0.629234i −0.770948 0.636898i \(-0.780217\pi\)
0.999971 + 0.00766395i \(0.00243954\pi\)
\(38\) 0.931330 + 5.26203i 0.151082 + 0.853613i
\(39\) 2.83320 + 1.33147i 0.453675 + 0.213205i
\(40\) −2.52695 + 3.40800i −0.399546 + 0.538852i
\(41\) 4.70314 4.43718i 0.734507 0.692972i −0.225094 0.974337i \(-0.572269\pi\)
0.959601 + 0.281366i \(0.0907873\pi\)
\(42\) −2.07184 + 0.298519i −0.319692 + 0.0460624i
\(43\) 4.69896 + 6.31180i 0.716585 + 0.962540i 0.999994 + 0.00354098i \(0.00112713\pi\)
−0.283409 + 0.958999i \(0.591465\pi\)
\(44\) 0.515410 0.155027i 0.0777009 0.0233712i
\(45\) −0.495692 4.47261i −0.0738933 0.666737i
\(46\) 11.9120 + 1.38454i 1.75633 + 0.204140i
\(47\) 10.2207 + 6.72224i 1.49084 + 0.980539i 0.993604 + 0.112923i \(0.0360213\pi\)
0.497234 + 0.867616i \(0.334349\pi\)
\(48\) 4.60370 + 5.17745i 0.664486 + 0.747300i
\(49\) 3.74402 5.02909i 0.534860 0.718442i
\(50\) 3.86251 0.453982i 0.546241 0.0642028i
\(51\) −6.29260 + 11.5873i −0.881141 + 1.62255i
\(52\) −2.90225 2.15485i −0.402470 0.298823i
\(53\) −0.712181 1.23353i −0.0978256 0.169439i 0.812959 0.582321i \(-0.197855\pi\)
−0.910784 + 0.412882i \(0.864522\pi\)
\(54\) −7.31492 0.701364i −0.995435 0.0954436i
\(55\) 0.349583 + 0.201832i 0.0471378 + 0.0272150i
\(56\) 2.41324 + 0.135880i 0.322483 + 0.0181578i
\(57\) 4.33633 + 4.90211i 0.574360 + 0.649301i
\(58\) −3.14800 4.22282i −0.413352 0.554483i
\(59\) 12.5002 5.39205i 1.62738 0.701985i 0.630162 0.776464i \(-0.282988\pi\)
0.997223 + 0.0744783i \(0.0237291\pi\)
\(60\) −0.461681 + 5.17559i −0.0596028 + 0.668166i
\(61\) 8.93579 + 0.520450i 1.14411 + 0.0666368i 0.619707 0.784833i \(-0.287251\pi\)
0.524403 + 0.851470i \(0.324288\pi\)
\(62\) 11.4707 + 8.52814i 1.45678 + 1.08307i
\(63\) −1.97371 + 1.63613i −0.248664 + 0.206133i
\(64\) −4.02672 6.91271i −0.503341 0.864088i
\(65\) −0.314735 2.69273i −0.0390380 0.333992i
\(66\) 0.439375 0.491396i 0.0540833 0.0604867i
\(67\) −2.07427 + 6.92855i −0.253413 + 0.846457i 0.732725 + 0.680525i \(0.238248\pi\)
−0.986137 + 0.165932i \(0.946937\pi\)
\(68\) 9.77177 11.6760i 1.18500 1.41593i
\(69\) 13.3298 6.16735i 1.60472 0.742462i
\(70\) 1.16613 + 1.38793i 0.139380 + 0.165889i
\(71\) −8.40109 + 7.04936i −0.997027 + 0.836605i −0.986570 0.163341i \(-0.947773\pi\)
−0.0104568 + 0.999945i \(0.503329\pi\)
\(72\) 8.11890 + 2.46648i 0.956821 + 0.290678i
\(73\) 1.55470 + 1.30455i 0.181964 + 0.152686i 0.729220 0.684279i \(-0.239883\pi\)
−0.547256 + 0.836965i \(0.684328\pi\)
\(74\) 0.00370731 + 5.76026i 0.000430966 + 0.669617i
\(75\) 3.74510 2.94309i 0.432447 0.339839i
\(76\) −3.78707 6.53993i −0.434406 0.750182i
\(77\) −0.0133716 0.229581i −0.00152383 0.0261632i
\(78\) −4.40938 0.396193i −0.499264 0.0448600i
\(79\) −3.30837 3.12129i −0.372221 0.351172i 0.477288 0.878747i \(-0.341620\pi\)
−0.849508 + 0.527575i \(0.823101\pi\)
\(80\) 1.70601 5.75234i 0.190738 0.643131i
\(81\) −8.09041 + 3.94276i −0.898934 + 0.438084i
\(82\) −4.09865 + 8.17419i −0.452620 + 0.902688i
\(83\) 0.0528056 + 0.0498195i 0.00579617 + 0.00546840i 0.689134 0.724634i \(-0.257991\pi\)
−0.683338 + 0.730102i \(0.739472\pi\)
\(84\) 2.60803 1.40052i 0.284560 0.152809i
\(85\) 11.3998 0.663964i 1.23648 0.0720170i
\(86\) −9.30145 6.10909i −1.00300 0.658760i
\(87\) −5.98791 2.39959i −0.641971 0.257263i
\(88\) −0.609663 + 0.455710i −0.0649903 + 0.0485788i
\(89\) −9.65696 + 11.5087i −1.02364 + 1.21992i −0.0483831 + 0.998829i \(0.515407\pi\)
−0.975253 + 0.221093i \(0.929038\pi\)
\(90\) 2.82576 + 5.70219i 0.297862 + 0.601064i
\(91\) −1.18316 + 0.992792i −0.124029 + 0.104073i
\(92\) −16.4974 + 3.93238i −1.71997 + 0.409979i
\(93\) 17.4347 + 1.57786i 1.80790 + 0.163616i
\(94\) −16.8366 3.97889i −1.73656 0.410392i
\(95\) 1.62559 5.42984i 0.166782 0.557090i
\(96\) −8.62524 4.64814i −0.880310 0.474399i
\(97\) −1.48870 + 0.174005i −0.151155 + 0.0176675i −0.191334 0.981525i \(-0.561281\pi\)
0.0401789 + 0.999193i \(0.487207\pi\)
\(98\) −2.53754 + 8.49587i −0.256330 + 0.858213i
\(99\) 0.144941 0.794212i 0.0145671 0.0798213i
\(100\) −4.91181 + 2.47473i −0.491181 + 0.247473i
\(101\) 0.559588 9.60775i 0.0556810 0.956007i −0.848591 0.529050i \(-0.822549\pi\)
0.904272 0.426957i \(-0.140414\pi\)
\(102\) 2.74587 18.4441i 0.271881 1.82624i
\(103\) 3.49621 1.50812i 0.344492 0.148599i −0.216802 0.976215i \(-0.569563\pi\)
0.561295 + 0.827616i \(0.310303\pi\)
\(104\) 4.90009 + 1.45669i 0.480494 + 0.142840i
\(105\) 2.10542 + 0.704651i 0.205468 + 0.0687669i
\(106\) 1.54392 + 1.29381i 0.149958 + 0.125666i
\(107\) 7.05952 + 4.07581i 0.682469 + 0.394024i 0.800785 0.598952i \(-0.204416\pi\)
−0.118315 + 0.992976i \(0.537749\pi\)
\(108\) 10.0586 2.61256i 0.967885 0.251394i
\(109\) 8.11974 4.68794i 0.777730 0.449023i −0.0578951 0.998323i \(-0.518439\pi\)
0.835625 + 0.549300i \(0.185106\pi\)
\(110\) −0.562258 0.0987682i −0.0536092 0.00941718i
\(111\) 3.68567 + 6.01554i 0.349828 + 0.570970i
\(112\) −3.27210 + 0.988789i −0.309185 + 0.0934318i
\(113\) 5.91918 + 4.40667i 0.556830 + 0.414545i 0.838448 0.544982i \(-0.183464\pi\)
−0.281618 + 0.959527i \(0.590871\pi\)
\(114\) −8.13660 4.41188i −0.762062 0.413210i
\(115\) −10.6271 6.98956i −0.990983 0.651780i
\(116\) 6.22862 + 4.08515i 0.578313 + 0.379297i
\(117\) −4.85985 + 2.40444i −0.449293 + 0.222290i
\(118\) −13.9952 + 13.2209i −1.28837 + 1.21708i
\(119\) −3.88486 5.21827i −0.356124 0.478358i
\(120\) −1.89441 7.10007i −0.172935 0.648145i
\(121\) −7.49896 7.94843i −0.681724 0.722585i
\(122\) −12.1244 + 3.63831i −1.09769 + 0.329397i
\(123\) 0.942735 + 11.1596i 0.0850035 + 1.00622i
\(124\) −19.3724 5.77255i −1.73969 0.518390i
\(125\) −10.9239 3.97598i −0.977065 0.355623i
\(126\) 1.82952 3.13014i 0.162986 0.278855i
\(127\) −3.05297 8.38796i −0.270907 0.744311i −0.998311 0.0581013i \(-0.981495\pi\)
0.727404 0.686210i \(-0.240727\pi\)
\(128\) 8.69948 + 7.23319i 0.768933 + 0.639330i
\(129\) −13.6223 0.437119i −1.19937 0.0384862i
\(130\) 1.72291 + 3.42509i 0.151109 + 0.300401i
\(131\) −7.16112 10.8880i −0.625670 0.951286i −0.999715 0.0238749i \(-0.992400\pi\)
0.374045 0.927411i \(-0.377971\pi\)
\(132\) −0.345656 + 0.865773i −0.0300855 + 0.0753559i
\(133\) −3.09342 + 0.926110i −0.268234 + 0.0803039i
\(134\) −0.601285 10.2104i −0.0519431 0.882048i
\(135\) 6.59684 + 4.15110i 0.567765 + 0.357270i
\(136\) −7.32536 + 20.2478i −0.628144 + 1.73624i
\(137\) 2.48288 10.4761i 0.212127 0.895033i −0.757965 0.652295i \(-0.773806\pi\)
0.970092 0.242738i \(-0.0780454\pi\)
\(138\) −14.7218 + 14.6529i −1.25320 + 1.24734i
\(139\) −1.09400 0.549427i −0.0927918 0.0466018i 0.401798 0.915728i \(-0.368385\pi\)
−0.494590 + 0.869127i \(0.664682\pi\)
\(140\) −2.22186 1.27898i −0.187781 0.108093i
\(141\) −20.1328 + 6.60458i −1.69549 + 0.556206i
\(142\) 7.74609 13.4366i 0.650037 1.12757i
\(143\) 0.0844594 0.478993i 0.00706285 0.0400554i
\(144\) −11.9820 + 0.656966i −0.998500 + 0.0547472i
\(145\) 0.970097 + 5.50170i 0.0805622 + 0.456891i
\(146\) −2.69771 0.979922i −0.223264 0.0810989i
\(147\) 2.77928 + 10.4978i 0.229231 + 0.865845i
\(148\) −2.79603 7.65137i −0.229832 0.628939i
\(149\) −5.22279 + 1.23782i −0.427868 + 0.101406i −0.438907 0.898533i \(-0.644634\pi\)
0.0110392 + 0.999939i \(0.496486\pi\)
\(150\) −3.54974 + 5.72491i −0.289835 + 0.467437i
\(151\) −7.30193 3.14974i −0.594223 0.256323i 0.0776605 0.996980i \(-0.475255\pi\)
−0.671883 + 0.740657i \(0.734514\pi\)
\(152\) 8.20044 + 6.85405i 0.665144 + 0.555937i
\(153\) −8.92029 21.0242i −0.721162 1.69971i
\(154\) 0.129008 + 0.298546i 0.0103958 + 0.0240575i
\(155\) −6.80406 13.5480i −0.546515 1.08820i
\(156\) 6.05034 1.61016i 0.484415 0.128916i
\(157\) −0.935143 + 8.00066i −0.0746326 + 0.638522i 0.903213 + 0.429193i \(0.141202\pi\)
−0.977845 + 0.209329i \(0.932872\pi\)
\(158\) 5.90795 + 2.54393i 0.470011 + 0.202384i
\(159\) 2.43994 + 0.364851i 0.193500 + 0.0289345i
\(160\) 0.520631 + 8.46928i 0.0411595 + 0.669556i
\(161\) 7.24648i 0.571102i
\(162\) 8.83859 9.15857i 0.694425 0.719565i
\(163\) 17.2922 1.35443 0.677215 0.735785i \(-0.263187\pi\)
0.677215 + 0.735785i \(0.263187\pi\)
\(164\) 1.48476 12.8463i 0.115940 1.00313i
\(165\) −0.650538 + 0.256194i −0.0506443 + 0.0199446i
\(166\) −0.0942981 0.0406043i −0.00731895 0.00315150i
\(167\) −8.26981 0.966602i −0.639937 0.0747979i −0.210065 0.977688i \(-0.567367\pi\)
−0.429873 + 0.902890i \(0.641441\pi\)
\(168\) −2.78646 + 3.12445i −0.214980 + 0.241057i
\(169\) 8.69808 4.36834i 0.669083 0.336026i
\(170\) −14.8243 + 6.40588i −1.13697 + 0.491308i
\(171\) −11.3205 + 0.591469i −0.865700 + 0.0452308i
\(172\) 15.3182 + 3.60965i 1.16800 + 0.275234i
\(173\) −0.983011 + 2.27888i −0.0747370 + 0.173260i −0.951489 0.307683i \(-0.900446\pi\)
0.876752 + 0.480943i \(0.159706\pi\)
\(174\) 9.11833 + 0.286720i 0.691259 + 0.0217362i
\(175\) 0.541958 + 2.28670i 0.0409681 + 0.172858i
\(176\) 0.589196 0.900872i 0.0444123 0.0679058i
\(177\) −6.17083 + 22.7576i −0.463828 + 1.71056i
\(178\) 7.25389 19.9699i 0.543702 1.49681i
\(179\) −11.0896 + 1.95540i −0.828877 + 0.146153i −0.571962 0.820280i \(-0.693817\pi\)
−0.256916 + 0.966434i \(0.582706\pi\)
\(180\) −6.51731 6.20680i −0.485772 0.462628i
\(181\) 12.3632 + 2.17997i 0.918952 + 0.162036i 0.613066 0.790032i \(-0.289936\pi\)
0.305887 + 0.952068i \(0.401047\pi\)
\(182\) 1.09092 1.89233i 0.0808641 0.140269i
\(183\) −10.3412 + 11.5506i −0.764444 + 0.853846i
\(184\) 20.0132 13.2183i 1.47539 0.974468i
\(185\) 2.74202 5.45980i 0.201597 0.401413i
\(186\) −23.9286 + 6.35153i −1.75453 + 0.465717i
\(187\) 1.99345 + 0.472456i 0.145776 + 0.0345494i
\(188\) 24.2972 2.87165i 1.77206 0.209436i
\(189\) −0.0893469 4.43952i −0.00649903 0.322928i
\(190\) 0.471222 + 8.00184i 0.0341860 + 0.580515i
\(191\) 0.614311 + 2.05194i 0.0444500 + 0.148473i 0.977334 0.211704i \(-0.0679013\pi\)
−0.932884 + 0.360177i \(0.882716\pi\)
\(192\) 13.7119 + 1.99627i 0.989568 + 0.144068i
\(193\) 0.763699 0.502293i 0.0549722 0.0361558i −0.521725 0.853113i \(-0.674711\pi\)
0.576698 + 0.816958i \(0.304341\pi\)
\(194\) 1.89360 0.952528i 0.135953 0.0683876i
\(195\) 3.98920 + 2.47706i 0.285672 + 0.177386i
\(196\) −0.745217 12.5173i −0.0532298 0.894092i
\(197\) −19.1773 + 6.97998i −1.36633 + 0.497303i −0.918005 0.396568i \(-0.870201\pi\)
−0.448324 + 0.893871i \(0.647979\pi\)
\(198\) 0.192260 + 1.12543i 0.0136633 + 0.0799810i
\(199\) −0.354564 + 0.974157i −0.0251344 + 0.0690561i −0.951625 0.307261i \(-0.900588\pi\)
0.926491 + 0.376317i \(0.122810\pi\)
\(200\) 5.32679 5.66795i 0.376661 0.400784i
\(201\) −7.15441 10.2828i −0.504633 0.725295i
\(202\) 3.91191 + 13.0361i 0.275241 + 0.917219i
\(203\) 2.31502 2.18411i 0.162482 0.153294i
\(204\) 5.28881 + 25.8356i 0.370291 + 1.80886i
\(205\) 7.77969 5.79176i 0.543357 0.404514i
\(206\) −3.91437 + 3.69778i −0.272727 + 0.257637i
\(207\) −6.01457 + 24.7181i −0.418041 + 1.71803i
\(208\) −7.21616 + 0.438937i −0.500351 + 0.0304348i
\(209\) 0.558779 0.849583i 0.0386516 0.0587669i
\(210\) −3.13873 + 0.0839612i −0.216593 + 0.00579387i
\(211\) −7.63916 + 10.2612i −0.525901 + 0.706408i −0.983123 0.182945i \(-0.941437\pi\)
0.457222 + 0.889353i \(0.348844\pi\)
\(212\) −2.67818 0.970874i −0.183938 0.0666799i
\(213\) −0.495719 18.9887i −0.0339661 1.30108i
\(214\) −11.3543 1.99453i −0.776163 0.136344i
\(215\) 5.90164 + 10.2219i 0.402488 + 0.697130i
\(216\) −12.0980 + 8.34491i −0.823167 + 0.567799i
\(217\) −4.31855 + 7.47995i −0.293162 + 0.507772i
\(218\) −8.51649 + 10.1628i −0.576810 + 0.688314i
\(219\) −3.44472 + 0.700550i −0.232773 + 0.0473388i
\(220\) 0.794882 0.141214i 0.0535909 0.00952067i
\(221\) −5.44972 12.6339i −0.366588 0.849846i
\(222\) −7.81163 6.20647i −0.524282 0.416551i
\(223\) 14.0372 + 0.817573i 0.940000 + 0.0547488i 0.521298 0.853375i \(-0.325448\pi\)
0.418702 + 0.908124i \(0.362485\pi\)
\(224\) 3.86825 2.89920i 0.258458 0.193711i
\(225\) −0.0493139 + 8.24987i −0.00328759 + 0.549991i
\(226\) −9.99954 2.98665i −0.665160 0.198669i
\(227\) 1.39314 + 11.9191i 0.0924660 + 0.791097i 0.957311 + 0.289059i \(0.0933423\pi\)
−0.864845 + 0.502038i \(0.832584\pi\)
\(228\) 12.9482 + 1.91914i 0.857512 + 0.127098i
\(229\) −1.27462 0.381597i −0.0842295 0.0252167i 0.244411 0.969672i \(-0.421405\pi\)
−0.328641 + 0.944455i \(0.606591\pi\)
\(230\) 17.5061 + 4.13712i 1.15432 + 0.272794i
\(231\) 0.325601 + 0.229441i 0.0214230 + 0.0150961i
\(232\) −10.2549 2.40955i −0.673265 0.158194i
\(233\) −12.0741 14.3894i −0.791001 0.942679i 0.208373 0.978049i \(-0.433183\pi\)
−0.999374 + 0.0353707i \(0.988739\pi\)
\(234\) 5.29181 5.54939i 0.345936 0.362775i
\(235\) 14.0567 + 11.7950i 0.916959 + 0.769420i
\(236\) 12.1882 24.3467i 0.793382 1.58484i
\(237\) 7.79822 1.11847i 0.506549 0.0726527i
\(238\) 7.68996 + 5.05068i 0.498466 + 0.327387i
\(239\) −1.04191 17.8889i −0.0673956 1.15714i −0.847256 0.531184i \(-0.821747\pi\)
0.779861 0.625953i \(-0.215290\pi\)
\(240\) 5.95725 + 8.51534i 0.384539 + 0.549663i
\(241\) 2.13203 2.25982i 0.137336 0.145568i −0.655055 0.755581i \(-0.727354\pi\)
0.792391 + 0.610013i \(0.208836\pi\)
\(242\) 13.8146 + 6.92682i 0.888036 + 0.445273i
\(243\) 3.38004 15.2176i 0.216829 0.976210i
\(244\) 14.3457 10.7087i 0.918391 0.685556i
\(245\) 6.45381 6.84064i 0.412319 0.437033i
\(246\) −6.65983 14.3699i −0.424615 0.916194i
\(247\) −6.81787 + 0.397096i −0.433811 + 0.0252666i
\(248\) 28.5355 1.71729i 1.81201 0.109048i
\(249\) −0.124469 + 0.0178522i −0.00788791 + 0.00113134i
\(250\) 16.4402 0.0105809i 1.03977 0.000669197i
\(251\) −3.82354 + 4.55672i −0.241340 + 0.287618i −0.873095 0.487550i \(-0.837891\pi\)
0.631755 + 0.775168i \(0.282335\pi\)
\(252\) −0.914030 + 5.04523i −0.0575785 + 0.317820i
\(253\) −1.46684 1.74811i −0.0922191 0.109902i
\(254\) 8.12056 + 9.66507i 0.509529 + 0.606440i
\(255\) −11.3929 + 16.1677i −0.713450 + 1.01246i
\(256\) −15.0631 5.39484i −0.941441 0.337177i
\(257\) −3.14711 0.942184i −0.196312 0.0587718i 0.187138 0.982334i \(-0.440079\pi\)
−0.383450 + 0.923562i \(0.625264\pi\)
\(258\) 18.3105 6.01983i 1.13996 0.374778i
\(259\) −3.45719 + 0.404087i −0.214819 + 0.0251088i
\(260\) −3.94869 3.71580i −0.244888 0.230444i
\(261\) 9.70945 5.52864i 0.601000 0.342214i
\(262\) 14.7901 + 10.9960i 0.913734 + 0.679336i
\(263\) 0.279565 4.79995i 0.0172387 0.295977i −0.978659 0.205491i \(-0.934121\pi\)
0.995898 0.0904863i \(-0.0288421\pi\)
\(264\) 0.0397384 1.31776i 0.00244573 0.0811028i
\(265\) −0.846240 1.96181i −0.0519841 0.120513i
\(266\) 3.66122 2.72934i 0.224484 0.167347i
\(267\) −5.18583 25.4996i −0.317368 1.56055i
\(268\) 5.74629 + 13.2744i 0.351011 + 0.810863i
\(269\) −13.0807 + 22.6565i −0.797547 + 1.38139i 0.123663 + 0.992324i \(0.460536\pi\)
−0.921210 + 0.389067i \(0.872798\pi\)
\(270\) −10.7760 2.31875i −0.655809 0.141114i
\(271\) −10.5740 + 6.10492i −0.642327 + 0.370848i −0.785510 0.618849i \(-0.787599\pi\)
0.143183 + 0.989696i \(0.454266\pi\)
\(272\) −0.0783933 30.4510i −0.00475329 1.84636i
\(273\) −0.0698143 2.67426i −0.00422535 0.161854i
\(274\) 1.77734 + 15.1217i 0.107373 + 0.913538i
\(275\) −0.593614 0.441929i −0.0357963 0.0266493i
\(276\) 12.4596 26.6014i 0.749980 1.60122i
\(277\) −17.5715 + 26.7162i −1.05577 + 1.60522i −0.295810 + 0.955247i \(0.595590\pi\)
−0.759958 + 0.649972i \(0.774781\pi\)
\(278\) 1.71973 + 0.199885i 0.103142 + 0.0119883i
\(279\) −20.9391 + 21.9301i −1.25359 + 1.31292i
\(280\) 3.57171 + 0.622681i 0.213451 + 0.0372123i
\(281\) −10.4582 + 7.78586i −0.623885 + 0.464465i −0.862094 0.506749i \(-0.830847\pi\)
0.238209 + 0.971214i \(0.423440\pi\)
\(282\) 23.5486 18.5302i 1.40230 1.10346i
\(283\) −11.1800 11.8501i −0.664582 0.704416i 0.304123 0.952633i \(-0.401637\pi\)
−0.968704 + 0.248217i \(0.920155\pi\)
\(284\) −3.78094 + 21.6054i −0.224358 + 1.28204i
\(285\) 5.60685 + 8.05857i 0.332121 + 0.477348i
\(286\) 0.119880 + 0.677322i 0.00708863 + 0.0400509i
\(287\) −5.19229 1.88984i −0.306491 0.111554i
\(288\) 15.6011 6.67867i 0.919306 0.393544i
\(289\) 38.4845 14.0072i 2.26379 0.823953i
\(290\) −3.95470 6.83958i −0.232228 0.401634i
\(291\) 1.36947 2.20547i 0.0802798 0.129287i
\(292\) 4.05904 0.00522480i 0.237537 0.000305758i
\(293\) −22.6455 + 14.8942i −1.32296 + 0.870127i −0.997160 0.0753101i \(-0.976005\pi\)
−0.325804 + 0.945437i \(0.605635\pi\)
\(294\) −8.77925 12.6009i −0.512016 0.734897i
\(295\) 19.5624 5.85661i 1.13897 0.340985i
\(296\) 7.42227 + 8.81092i 0.431411 + 0.512124i
\(297\) 0.920204 + 1.05288i 0.0533957 + 0.0610946i
\(298\) 6.33929 4.17527i 0.367225 0.241867i
\(299\) −3.53445 + 14.9130i −0.204403 + 0.862442i
\(300\) 1.94226 9.32620i 0.112136 0.538448i
\(301\) 3.01791 6.00916i 0.173950 0.346362i
\(302\) 11.2276 + 0.646685i 0.646078 + 0.0372126i
\(303\) 12.4192 + 11.1189i 0.713465 + 0.638762i
\(304\) −14.2163 5.13291i −0.815362 0.294392i
\(305\) 13.2224 + 2.33147i 0.757112 + 0.133499i
\(306\) 22.0388 + 23.6108i 1.25987 + 1.34974i
\(307\) −1.34810 7.64548i −0.0769404 0.436350i −0.998807 0.0488420i \(-0.984447\pi\)
0.921866 0.387508i \(-0.126664\pi\)
\(308\) −0.316061 0.334142i −0.0180092 0.0190395i
\(309\) −1.72594 + 6.36513i −0.0981852 + 0.362100i
\(310\) 15.6046 + 14.7032i 0.886281 + 0.835085i
\(311\) 26.6105 6.30680i 1.50894 0.357626i 0.608836 0.793296i \(-0.291637\pi\)
0.900106 + 0.435670i \(0.143489\pi\)
\(312\) −7.25838 + 5.07094i −0.410925 + 0.287085i
\(313\) −2.69046 + 6.23719i −0.152074 + 0.352547i −0.977174 0.212439i \(-0.931859\pi\)
0.825100 + 0.564986i \(0.191118\pi\)
\(314\) −2.63423 11.0829i −0.148658 0.625445i
\(315\) −3.22545 + 2.09390i −0.181734 + 0.117978i
\(316\) −9.08204 0.517239i −0.510905 0.0290970i
\(317\) 3.94460 1.98105i 0.221551 0.111267i −0.334562 0.942374i \(-0.608588\pi\)
0.556113 + 0.831107i \(0.312292\pi\)
\(318\) −3.41853 + 0.697514i −0.191701 + 0.0391146i
\(319\) −0.116356 + 0.995491i −0.00651470 + 0.0557368i
\(320\) −4.79546 11.0001i −0.268075 0.614927i
\(321\) −13.1370 + 5.17359i −0.733236 + 0.288762i
\(322\) −3.51124 9.62777i −0.195674 0.536535i
\(323\) 28.7660i 1.60058i
\(324\) −7.30534 + 16.4509i −0.405852 + 0.913939i
\(325\) 4.97029i 0.275702i
\(326\) −22.9747 + 8.37885i −1.27245 + 0.464062i
\(327\) −2.40163 + 16.0609i −0.132810 + 0.888171i
\(328\) 4.25194 + 17.7872i 0.234774 + 0.982136i
\(329\) 1.21363 10.3833i 0.0669098 0.572450i
\(330\) 0.740176 0.655597i 0.0407454 0.0360894i
\(331\) 17.5369 8.80737i 0.963916 0.484097i 0.104025 0.994575i \(-0.466828\pi\)
0.859891 + 0.510478i \(0.170531\pi\)
\(332\) 0.144960 + 0.00825577i 0.00795574 + 0.000453094i
\(333\) −12.1280 1.49110i −0.664612 0.0817119i
\(334\) 11.4558 2.72285i 0.626831 0.148988i
\(335\) −4.29690 + 9.96133i −0.234765 + 0.544245i
\(336\) 2.18819 5.50136i 0.119375 0.300124i
\(337\) 1.13116 0.268089i 0.0616180 0.0146037i −0.199691 0.979859i \(-0.563994\pi\)
0.261309 + 0.965255i \(0.415846\pi\)
\(338\) −9.43974 + 10.0184i −0.513454 + 0.544932i
\(339\) −12.3558 + 3.27118i −0.671075 + 0.177666i
\(340\) 16.5918 15.6940i 0.899816 0.851124i
\(341\) −0.472308 2.67859i −0.0255769 0.145054i
\(342\) 14.7540 6.27112i 0.797804 0.339103i
\(343\) −11.1675 1.96913i −0.602988 0.106323i
\(344\) −22.1010 + 2.62650i −1.19161 + 0.141611i
\(345\) 20.9334 6.86722i 1.12702 0.369719i
\(346\) 0.201826 3.50406i 0.0108502 0.188379i
\(347\) 9.83882 19.5907i 0.528176 1.05168i −0.458456 0.888717i \(-0.651597\pi\)
0.986631 0.162967i \(-0.0521065\pi\)
\(348\) −12.2537 + 4.03730i −0.656866 + 0.216422i
\(349\) 1.26136 5.32209i 0.0675189 0.284885i −0.928803 0.370574i \(-0.879161\pi\)
0.996322 + 0.0856892i \(0.0273092\pi\)
\(350\) −1.82806 2.77554i −0.0977140 0.148359i
\(351\) 1.98149 9.17998i 0.105764 0.489991i
\(352\) −0.346301 + 1.48240i −0.0184579 + 0.0790123i
\(353\) −13.7653 + 4.12105i −0.732652 + 0.219342i −0.631332 0.775512i \(-0.717492\pi\)
−0.101320 + 0.994854i \(0.532306\pi\)
\(354\) −2.82841 33.2261i −0.150328 1.76595i
\(355\) −13.7440 + 9.03956i −0.729455 + 0.479770i
\(356\) 0.0386767 + 30.0471i 0.00204986 + 1.59249i
\(357\) 11.2622 + 0.361387i 0.596058 + 0.0191266i
\(358\) 13.7864 7.97139i 0.728631 0.421301i
\(359\) 33.9220 12.3466i 1.79033 0.651629i 0.791134 0.611642i \(-0.209491\pi\)
0.999200 0.0399863i \(-0.0127314\pi\)
\(360\) 11.6665 + 5.08852i 0.614877 + 0.268188i
\(361\) 4.43709 + 1.61497i 0.233531 + 0.0849983i
\(362\) −17.4823 + 3.09420i −0.918848 + 0.162628i
\(363\) 18.8599 1.59325i 0.989890 0.0836238i
\(364\) −0.532487 + 3.04278i −0.0279099 + 0.159485i
\(365\) 2.08911 + 2.21433i 0.109349 + 0.115903i
\(366\) 8.14268 20.3571i 0.425625 1.06408i
\(367\) 14.9177 11.1059i 0.778700 0.579721i −0.132741 0.991151i \(-0.542378\pi\)
0.911441 + 0.411430i \(0.134971\pi\)
\(368\) −20.1850 + 27.2593i −1.05221 + 1.42099i
\(369\) −16.1426 10.7559i −0.840349 0.559931i
\(370\) −0.997563 + 8.58260i −0.0518608 + 0.446188i
\(371\) −0.668864 + 1.01696i −0.0347257 + 0.0527978i
\(372\) 28.7142 20.0332i 1.48876 1.03867i
\(373\) 18.5422 + 13.8041i 0.960077 + 0.714751i 0.958454 0.285248i \(-0.0920759\pi\)
0.00162322 + 0.999999i \(0.499483\pi\)
\(374\) −2.87745 + 0.338203i −0.148790 + 0.0174881i
\(375\) 17.1688 10.5192i 0.886594 0.543208i
\(376\) −30.8902 + 15.5884i −1.59304 + 0.803911i
\(377\) 5.82953 3.36568i 0.300236 0.173341i
\(378\) 2.26986 + 5.85512i 0.116749 + 0.301155i
\(379\) −18.0828 + 31.3203i −0.928849 + 1.60881i −0.143599 + 0.989636i \(0.545867\pi\)
−0.785251 + 0.619178i \(0.787466\pi\)
\(380\) −4.50332 10.4030i −0.231016 0.533664i
\(381\) 14.6614 + 4.90695i 0.751128 + 0.251390i
\(382\) −1.81044 2.42858i −0.0926301 0.124257i
\(383\) 10.2919 + 23.8593i 0.525891 + 1.21915i 0.949631 + 0.313369i \(0.101458\pi\)
−0.423740 + 0.905784i \(0.639283\pi\)
\(384\) −19.1850 + 3.99174i −0.979033 + 0.203702i
\(385\) 0.0200574 0.344372i 0.00102222 0.0175508i
\(386\) −0.771278 + 1.03740i −0.0392570 + 0.0528022i
\(387\) 15.2818 17.9927i 0.776820 0.914619i
\(388\) −2.05432 + 2.18308i −0.104292 + 0.110829i
\(389\) 8.86419 1.03608i 0.449432 0.0525311i 0.111633 0.993749i \(-0.464392\pi\)
0.337799 + 0.941218i \(0.390318\pi\)
\(390\) −6.50035 1.35812i −0.329158 0.0687709i
\(391\) −61.8426 18.5145i −3.12752 0.936317i
\(392\) 7.05529 + 16.2696i 0.356346 + 0.821737i
\(393\) 22.4800 + 2.03446i 1.13396 + 0.102625i
\(394\) 22.0972 18.5660i 1.11324 0.935341i
\(395\) −4.38545 5.22638i −0.220656 0.262968i
\(396\) −0.800762 1.40211i −0.0402398 0.0704585i
\(397\) 15.1899 18.1027i 0.762361 0.908547i −0.235634 0.971842i \(-0.575717\pi\)
0.997995 + 0.0632954i \(0.0201610\pi\)
\(398\) −0.000943570 1.46608i −4.72969e−5 0.0734880i
\(399\) 2.08047 5.19158i 0.104154 0.259904i
\(400\) −4.33087 + 10.1116i −0.216543 + 0.505579i
\(401\) 2.54320 0.148124i 0.127001 0.00739698i 0.00547351 0.999985i \(-0.498258\pi\)
0.121528 + 0.992588i \(0.461221\pi\)
\(402\) 14.4879 + 10.1953i 0.722593 + 0.508495i
\(403\) −12.5358 + 13.2871i −0.624451 + 0.661879i
\(404\) −11.5140 15.4245i −0.572843 0.767398i
\(405\) −12.7401 + 4.46528i −0.633062 + 0.221882i
\(406\) −2.01747 + 4.02357i −0.100125 + 0.199686i
\(407\) 0.752201 0.797286i 0.0372852 0.0395200i
\(408\) −19.5453 31.7629i −0.967637 1.57250i
\(409\) −0.221776 3.80774i −0.0109661 0.188281i −0.999343 0.0362546i \(-0.988457\pi\)
0.988376 0.152026i \(-0.0485798\pi\)
\(410\) −7.52984 + 11.4646i −0.371872 + 0.566197i
\(411\) 11.5222 + 14.6621i 0.568350 + 0.723228i
\(412\) 3.40895 6.80961i 0.167947 0.335485i
\(413\) −8.91185 7.47793i −0.438523 0.367965i
\(414\) −3.98598 35.7551i −0.195900 1.75727i
\(415\) 0.0699972 + 0.0834194i 0.00343603 + 0.00409490i
\(416\) 9.37482 4.07973i 0.459638 0.200025i
\(417\) 1.92441 0.890374i 0.0942387 0.0436018i
\(418\) −0.330741 + 1.39952i −0.0161771 + 0.0684528i
\(419\) 17.3819 + 5.20380i 0.849161 + 0.254222i 0.681678 0.731653i \(-0.261251\pi\)
0.167484 + 0.985875i \(0.446436\pi\)
\(420\) 4.12948 1.63241i 0.201498 0.0796532i
\(421\) 1.45900 + 12.4826i 0.0711075 + 0.608364i 0.981067 + 0.193667i \(0.0620382\pi\)
−0.909960 + 0.414697i \(0.863888\pi\)
\(422\) 5.17750 17.3347i 0.252037 0.843838i
\(423\) 12.7579 34.4106i 0.620310 1.67310i
\(424\) 4.02870 0.00777862i 0.195651 0.000377763i
\(425\) −20.8998 1.21727i −1.01379 0.0590464i
\(426\) 9.85948 + 24.9884i 0.477693 + 1.21069i
\(427\) −3.02966 7.02353i −0.146615 0.339893i
\(428\) 16.0519 2.85170i 0.775899 0.137842i
\(429\) 0.558167 + 0.630994i 0.0269485 + 0.0304647i
\(430\) −12.7940 10.7214i −0.616981 0.517032i
\(431\) −3.34200 + 5.78852i −0.160979 + 0.278823i −0.935220 0.354067i \(-0.884798\pi\)
0.774241 + 0.632891i \(0.218132\pi\)
\(432\) 12.0301 16.9492i 0.578801 0.815469i
\(433\) 9.12909 + 15.8120i 0.438716 + 0.759878i 0.997591 0.0693737i \(-0.0221001\pi\)
−0.558875 + 0.829252i \(0.688767\pi\)
\(434\) 2.11332 12.0305i 0.101443 0.577482i
\(435\) −8.50326 4.61777i −0.407700 0.221405i
\(436\) 6.39079 17.6291i 0.306063 0.844281i
\(437\) −19.1342 + 25.7017i −0.915312 + 1.22948i
\(438\) 4.23726 2.59988i 0.202464 0.124227i
\(439\) 1.38828 2.11077i 0.0662589 0.100742i −0.800839 0.598880i \(-0.795613\pi\)
0.867097 + 0.498139i \(0.165983\pi\)
\(440\) −0.987667 + 0.572775i −0.0470852 + 0.0273060i
\(441\) −17.2261 7.55304i −0.820288 0.359669i
\(442\) 13.3622 + 14.1449i 0.635577 + 0.672804i
\(443\) −2.58105 + 1.92152i −0.122629 + 0.0912941i −0.656726 0.754129i \(-0.728059\pi\)
0.534097 + 0.845423i \(0.320652\pi\)
\(444\) 13.3860 + 4.46091i 0.635269 + 0.211706i
\(445\) −16.3916 + 15.4647i −0.777036 + 0.733096i
\(446\) −19.0462 + 5.71541i −0.901862 + 0.270632i
\(447\) 3.95413 8.41392i 0.187024 0.397965i
\(448\) −3.73462 + 5.72626i −0.176444 + 0.270540i
\(449\) −9.37200 + 25.7494i −0.442292 + 1.21519i 0.495688 + 0.868500i \(0.334916\pi\)
−0.937981 + 0.346688i \(0.887306\pi\)
\(450\) −3.93191 10.9848i −0.185352 0.517828i
\(451\) 1.63510 0.595129i 0.0769941 0.0280236i
\(452\) 14.7327 0.877112i 0.692968 0.0412559i
\(453\) 12.1432 6.50078i 0.570537 0.305433i
\(454\) −7.62627 15.1608i −0.357919 0.711533i
\(455\) −1.93563 + 1.27308i −0.0907436 + 0.0596830i
\(456\) −18.1330 + 3.72417i −0.849156 + 0.174400i
\(457\) −1.23554 4.12698i −0.0577959 0.193052i 0.924216 0.381870i \(-0.124720\pi\)
−0.982012 + 0.188818i \(0.939534\pi\)
\(458\) 1.87839 0.110617i 0.0877712 0.00516877i
\(459\) 38.1159 + 10.5803i 1.77910 + 0.493847i
\(460\) −25.2635 + 2.98584i −1.17791 + 0.139216i
\(461\) 1.35457 + 0.321040i 0.0630887 + 0.0149523i 0.262039 0.965057i \(-0.415605\pi\)
−0.198950 + 0.980010i \(0.563753\pi\)
\(462\) −0.543773 0.147071i −0.0252986 0.00684236i
\(463\) 4.80233 9.56222i 0.223183 0.444394i −0.753976 0.656901i \(-0.771867\pi\)
0.977159 + 0.212508i \(0.0681630\pi\)
\(464\) 14.7923 1.76759i 0.686715 0.0820581i
\(465\) 25.7004 + 5.38685i 1.19183 + 0.249809i
\(466\) 23.0141 + 13.2675i 1.06611 + 0.614604i
\(467\) −29.2337 5.15469i −1.35278 0.238531i −0.550176 0.835049i \(-0.685439\pi\)
−0.802600 + 0.596518i \(0.796550\pi\)
\(468\) −4.34184 + 9.93711i −0.200702 + 0.459343i
\(469\) 6.08661 1.07323i 0.281054 0.0495573i
\(470\) −24.3912 8.85988i −1.12508 0.408676i
\(471\) −9.83595 9.89492i −0.453217 0.455934i
\(472\) −4.39630 + 38.2531i −0.202356 + 1.76074i
\(473\) 0.488349 + 2.06051i 0.0224543 + 0.0947423i
\(474\) −9.81888 + 5.26461i −0.450996 + 0.241811i
\(475\) −4.11578 + 9.54145i −0.188845 + 0.437792i
\(476\) −12.6643 2.98428i −0.580466 0.136784i
\(477\) −3.12560 + 2.91374i −0.143112 + 0.133411i
\(478\) 10.0523 + 23.2626i 0.459780 + 1.06401i
\(479\) 13.6680 6.86433i 0.624507 0.313639i −0.108256 0.994123i \(-0.534527\pi\)
0.732763 + 0.680484i \(0.238230\pi\)
\(480\) −12.0409 8.42705i −0.549591 0.384640i
\(481\) −7.31188 0.854636i −0.333393 0.0389680i
\(482\) −1.73767 + 4.03550i −0.0791485 + 0.183812i
\(483\) −9.82210 7.81413i −0.446921 0.355555i
\(484\) −21.7106 2.50929i −0.986847 0.114058i
\(485\) −2.24825 −0.102088
\(486\) 2.88284 + 21.8561i 0.130768 + 0.991413i
\(487\) 6.35602i 0.288019i −0.989576 0.144009i \(-0.954000\pi\)
0.989576 0.144009i \(-0.0459995\pi\)
\(488\) −13.8711 + 21.1789i −0.627914 + 0.958724i
\(489\) −18.6468 + 23.4384i −0.843238 + 1.05992i
\(490\) −5.26003 + 12.2157i −0.237624 + 0.551851i
\(491\) −1.08034 + 9.24291i −0.0487551 + 0.417127i 0.946717 + 0.322068i \(0.104378\pi\)
−0.995472 + 0.0950587i \(0.969696\pi\)
\(492\) 15.8112 + 15.8651i 0.712825 + 0.715255i
\(493\) 12.7248 + 25.3371i 0.573094 + 1.14112i
\(494\) 8.86591 3.83115i 0.398896 0.172372i
\(495\) 0.354245 1.15802i 0.0159221 0.0520492i
\(496\) −37.0806 + 16.1083i −1.66497 + 0.723286i
\(497\) 8.60537 + 3.71199i 0.386003 + 0.166506i
\(498\) 0.156721 0.0840296i 0.00702285 0.00376545i
\(499\) −0.940143 + 0.222818i −0.0420866 + 0.00997471i −0.251605 0.967830i \(-0.580958\pi\)
0.209519 + 0.977805i \(0.432810\pi\)
\(500\) −21.8376 + 7.98008i −0.976607 + 0.356880i
\(501\) 10.2278 10.1668i 0.456944 0.454221i
\(502\) 2.87208 7.90681i 0.128187 0.352898i
\(503\) 5.55476 + 31.5026i 0.247674 + 1.40463i 0.814199 + 0.580586i \(0.197177\pi\)
−0.566524 + 0.824045i \(0.691712\pi\)
\(504\) −1.23025 7.14606i −0.0547996 0.318311i
\(505\) 2.50679 14.2167i 0.111551 0.632635i
\(506\) 2.79589 + 1.61181i 0.124293 + 0.0716538i
\(507\) −3.45846 + 16.5002i −0.153596 + 0.732799i
\(508\) −15.4722 8.90637i −0.686470 0.395156i
\(509\) 2.83762 + 1.42511i 0.125775 + 0.0631668i 0.510574 0.859834i \(-0.329433\pi\)
−0.384799 + 0.923000i \(0.625729\pi\)
\(510\) 7.30279 27.0009i 0.323373 1.19562i
\(511\) 0.399968 1.68760i 0.0176935 0.0746549i
\(512\) 22.6270 0.131066i 0.999983 0.00579237i
\(513\) 11.4056 15.9819i 0.503569 0.705620i
\(514\) 4.63783 0.273118i 0.204566 0.0120467i
\(515\) 5.47147 1.63805i 0.241102 0.0721812i
\(516\) −21.4108 + 16.8703i −0.942556 + 0.742674i
\(517\) 1.80902 + 2.75048i 0.0795606 + 0.120966i
\(518\) 4.39747 2.21204i 0.193214 0.0971914i
\(519\) −2.02884 3.78980i −0.0890564 0.166354i
\(520\) 7.04676 + 3.02355i 0.309021 + 0.132592i
\(521\) 10.6031 + 29.1318i 0.464530 + 1.27629i 0.922045 + 0.387084i \(0.126518\pi\)
−0.457515 + 0.889202i \(0.651260\pi\)
\(522\) −10.2212 + 12.0501i −0.447372 + 0.527418i
\(523\) 32.7620 + 11.9244i 1.43258 + 0.521417i 0.937670 0.347527i \(-0.112979\pi\)
0.494911 + 0.868944i \(0.335201\pi\)
\(524\) −24.9784 7.44301i −1.09119 0.325150i
\(525\) −3.68388 1.73124i −0.160777 0.0755576i
\(526\) 1.95435 + 6.51274i 0.0852139 + 0.283969i
\(527\) −52.8014 55.9662i −2.30007 2.43793i
\(528\) 0.585719 + 1.77006i 0.0254901 + 0.0770318i
\(529\) 29.2050 + 39.2291i 1.26978 + 1.70561i
\(530\) 2.07491 + 2.19644i 0.0901283 + 0.0954074i
\(531\) −24.1921 32.9044i −1.04985 1.42793i
\(532\) −3.54187 + 5.40027i −0.153559 + 0.234132i
\(533\) −9.76380 6.42175i −0.422917 0.278157i
\(534\) 19.2457 + 31.3664i 0.832842 + 1.35736i
\(535\) 9.80790 + 7.30171i 0.424033 + 0.315681i
\(536\) −14.0667 14.8522i −0.607587 0.641518i
\(537\) 9.30792 17.1398i 0.401666 0.739637i
\(538\) 6.40117 36.4400i 0.275974 1.57104i
\(539\) 1.46120 0.843623i 0.0629382 0.0363374i
\(540\) 15.4407 2.14076i 0.664464 0.0921235i
\(541\) −24.1044 13.9167i −1.03633 0.598324i −0.117537 0.993069i \(-0.537500\pi\)
−0.918791 + 0.394744i \(0.870833\pi\)
\(542\) 11.0907 13.2347i 0.476387 0.568478i
\(543\) −16.2865 + 14.4068i −0.698921 + 0.618254i
\(544\) 14.8590 + 40.4197i 0.637075 + 1.73298i
\(545\) 12.9136 5.57038i 0.553158 0.238609i
\(546\) 1.38855 + 3.51923i 0.0594247 + 0.150609i
\(547\) 0.919805 15.7924i 0.0393280 0.675236i −0.919822 0.392337i \(-0.871667\pi\)
0.959150 0.282899i \(-0.0912962\pi\)
\(548\) −9.68857 19.2298i −0.413875 0.821455i
\(549\) −4.50478 26.4722i −0.192259 1.12981i
\(550\) 1.00282 + 0.299521i 0.0427603 + 0.0127716i
\(551\) 13.9780 1.63379i 0.595481 0.0696018i
\(552\) −3.66442 + 41.3803i −0.155968 + 1.76126i
\(553\) −1.11476 + 3.72357i −0.0474046 + 0.158342i
\(554\) 10.4006 44.0096i 0.441878 1.86979i
\(555\) 4.44357 + 9.60411i 0.188619 + 0.407672i
\(556\) −2.38171 + 0.567713i −0.101007 + 0.0240764i
\(557\) −24.4836 + 20.5442i −1.03741 + 0.870486i −0.991713 0.128469i \(-0.958994\pi\)
−0.0456917 + 0.998956i \(0.514549\pi\)
\(558\) 17.1939 39.2826i 0.727878 1.66296i
\(559\) 9.14172 10.8947i 0.386653 0.460796i
\(560\) −5.04715 + 0.903352i −0.213281 + 0.0381736i
\(561\) −2.78999 + 2.19252i −0.117793 + 0.0925682i
\(562\) 10.1224 15.4119i 0.426986 0.650111i
\(563\) −26.5173 + 1.54445i −1.11757 + 0.0650910i −0.606968 0.794727i \(-0.707614\pi\)
−0.510601 + 0.859818i \(0.670577\pi\)
\(564\) −22.3083 + 36.0298i −0.939347 + 1.51713i
\(565\) 8.05135 + 7.59606i 0.338723 + 0.319569i
\(566\) 20.5958 + 10.3270i 0.865707 + 0.434077i
\(567\) 6.11382 + 4.66619i 0.256756 + 0.195962i
\(568\) −5.44535 30.5372i −0.228482 1.28131i
\(569\) 8.99936 + 8.49046i 0.377273 + 0.355939i 0.851399 0.524518i \(-0.175755\pi\)
−0.474126 + 0.880457i \(0.657236\pi\)
\(570\) −11.3541 7.98996i −0.475570 0.334663i
\(571\) 1.35427 + 23.2519i 0.0566743 + 0.973061i 0.900064 + 0.435758i \(0.143520\pi\)
−0.843390 + 0.537303i \(0.819443\pi\)
\(572\) −0.487466 0.841812i −0.0203820 0.0351979i
\(573\) −3.44370 1.38002i −0.143862 0.0576513i
\(574\) 7.81426 0.00502926i 0.326161 0.000209917i
\(575\) 17.8637 + 14.9894i 0.744969 + 0.625103i
\(576\) −17.4918 + 16.4328i −0.728824 + 0.684701i
\(577\) −26.4713 + 22.2121i −1.10201 + 0.924700i −0.997559 0.0698295i \(-0.977754\pi\)
−0.104456 + 0.994530i \(0.533310\pi\)
\(578\) −44.3439 + 37.2576i −1.84446 + 1.54971i
\(579\) −0.142700 + 1.57678i −0.00593042 + 0.0655288i
\(580\) 8.56836 + 7.17093i 0.355782 + 0.297757i
\(581\) 0.0177930 0.0594328i 0.000738178 0.00246569i
\(582\) −0.750849 + 3.59379i −0.0311237 + 0.148967i
\(583\) −0.0444996 0.380718i −0.00184298 0.0157677i
\(584\) −5.39036 + 1.97373i −0.223055 + 0.0816734i
\(585\) −7.65918 + 2.73598i −0.316668 + 0.113119i
\(586\) 22.8702 30.7614i 0.944761 1.27074i
\(587\) −11.4614 0.667551i −0.473063 0.0275528i −0.180042 0.983659i \(-0.557623\pi\)
−0.293021 + 0.956106i \(0.594660\pi\)
\(588\) 17.7699 + 12.4877i 0.732819 + 0.514986i
\(589\) −35.0676 + 15.1267i −1.44494 + 0.623285i
\(590\) −23.1531 + 17.2600i −0.953200 + 0.710585i
\(591\) 11.2187 33.5203i 0.461477 1.37884i
\(592\) −14.1306 8.10989i −0.580765 0.333314i
\(593\) −19.7463 11.4005i −0.810882 0.468163i 0.0363801 0.999338i \(-0.488417\pi\)
−0.847262 + 0.531175i \(0.821751\pi\)
\(594\) −1.73277 0.952998i −0.0710963 0.0391020i
\(595\) −4.87917 8.45098i −0.200027 0.346456i
\(596\) −6.39937 + 8.61899i −0.262129 + 0.353048i
\(597\) −0.938063 1.53105i −0.0383924 0.0626619i
\(598\) −2.53010 21.5262i −0.103464 0.880274i
\(599\) 23.6997 31.8342i 0.968342 1.30071i 0.0146596 0.999893i \(-0.495334\pi\)
0.953682 0.300816i \(-0.0972590\pi\)
\(600\) 1.93845 + 13.3320i 0.0791369 + 0.544278i
\(601\) −29.2481 19.2368i −1.19306 0.784685i −0.211785 0.977316i \(-0.567928\pi\)
−0.981271 + 0.192631i \(0.938298\pi\)
\(602\) −1.09794 + 9.44617i −0.0447485 + 0.384997i
\(603\) 21.6525 + 1.39103i 0.881759 + 0.0566471i
\(604\) −15.2306 + 4.58110i −0.619722 + 0.186402i
\(605\) −9.78823 13.1479i −0.397948 0.534537i
\(606\) −21.8879 8.75501i −0.889136 0.355648i
\(607\) −7.96580 + 7.51534i −0.323322 + 0.305038i −0.830739 0.556662i \(-0.812082\pi\)
0.507417 + 0.861700i \(0.330600\pi\)
\(608\) 21.3751 0.0687854i 0.866876 0.00278962i
\(609\) 0.464041 + 5.49305i 0.0188039 + 0.222590i
\(610\) −18.6972 + 3.30922i −0.757026 + 0.133987i
\(611\) 7.56204 20.7765i 0.305928 0.840529i
\(612\) −40.7215 20.6909i −1.64607 0.836379i
\(613\) −16.1406 44.3459i −0.651912 1.79111i −0.610563 0.791968i \(-0.709057\pi\)
−0.0413490 0.999145i \(-0.513166\pi\)
\(614\) 5.49569 + 9.50468i 0.221788 + 0.383577i
\(615\) −0.538776 + 16.7903i −0.0217256 + 0.677050i
\(616\) 0.581830 + 0.290801i 0.0234426 + 0.0117167i
\(617\) 8.58042 + 13.0459i 0.345435 + 0.525208i 0.965862 0.259056i \(-0.0834114\pi\)
−0.620428 + 0.784264i \(0.713041\pi\)
\(618\) −0.791085 9.29310i −0.0318221 0.373823i
\(619\) 0.0990876 + 0.330976i 0.00398267 + 0.0133030i 0.959958 0.280145i \(-0.0903825\pi\)
−0.955975 + 0.293448i \(0.905197\pi\)
\(620\) −27.8568 11.9738i −1.11876 0.480878i
\(621\) −27.0179 34.8067i −1.08419 1.39675i
\(622\) −32.2992 + 21.2733i −1.29508 + 0.852981i
\(623\) 12.4925 + 2.96077i 0.500500 + 0.118621i
\(624\) 7.18649 10.2543i 0.287690 0.410502i
\(625\) −3.29521 1.65492i −0.131809 0.0661968i
\(626\) 0.552388 9.59046i 0.0220779 0.383312i
\(627\) 0.548999 + 1.67352i 0.0219249 + 0.0668340i
\(628\) 8.87005 + 13.4485i 0.353953 + 0.536654i
\(629\) 5.38444 30.5367i 0.214692 1.21758i
\(630\) 3.27080 4.34487i 0.130312 0.173104i
\(631\) 6.78139 1.19574i 0.269963 0.0476017i −0.0370279 0.999314i \(-0.511789\pi\)
0.306991 + 0.951713i \(0.400678\pi\)
\(632\) 12.3172 3.71344i 0.489950 0.147713i
\(633\) −5.67073 21.4193i −0.225391 0.851342i
\(634\) −4.28095 + 4.54339i −0.170018 + 0.180441i
\(635\) −3.08781 13.0285i −0.122536 0.517020i
\(636\) 4.20393 2.58316i 0.166697 0.102429i
\(637\) −10.4050 4.48828i −0.412261 0.177832i
\(638\) −0.327767 1.37900i −0.0129764 0.0545953i
\(639\) 26.2724 + 19.8042i 1.03932 + 0.783444i
\(640\) 11.7014 + 12.2913i 0.462538 + 0.485858i
\(641\) −13.0669 26.0184i −0.516113 1.02766i −0.989189 0.146643i \(-0.953153\pi\)
0.473077 0.881021i \(-0.343143\pi\)
\(642\) 14.9472 13.2392i 0.589918 0.522509i
\(643\) −46.8608 5.47724i −1.84801 0.216001i −0.881420 0.472333i \(-0.843412\pi\)
−0.966589 + 0.256332i \(0.917486\pi\)
\(644\) 9.33017 + 11.0902i 0.367660 + 0.437017i
\(645\) −20.2191 3.02341i −0.796125 0.119047i
\(646\) 13.9384 + 38.2189i 0.548399 + 1.50370i
\(647\) 7.94585 0.312383 0.156192 0.987727i \(-0.450078\pi\)
0.156192 + 0.987727i \(0.450078\pi\)
\(648\) 1.73479 25.3967i 0.0681489 0.997675i
\(649\) 3.66354 0.143806
\(650\) −2.40833 6.60360i −0.0944624 0.259015i
\(651\) −5.48171 13.9194i −0.214845 0.545544i
\(652\) 26.4646 22.2645i 1.03643 0.871946i
\(653\) 35.2737 + 4.12290i 1.38037 + 0.161342i 0.773668 0.633591i \(-0.218420\pi\)
0.606697 + 0.794933i \(0.292494\pi\)
\(654\) −4.59139 22.5025i −0.179538 0.879916i
\(655\) −8.77302 17.4685i −0.342790 0.682552i
\(656\) −14.2679 21.5721i −0.557068 0.842250i
\(657\) 2.76502 5.42451i 0.107874 0.211630i
\(658\) 3.41872 + 14.3835i 0.133276 + 0.560726i
\(659\) −4.15780 1.79350i −0.161965 0.0698649i 0.313554 0.949570i \(-0.398480\pi\)
−0.475519 + 0.879706i \(0.657740\pi\)
\(660\) −0.665743 + 1.22968i −0.0259140 + 0.0478654i
\(661\) 5.45963 + 23.0360i 0.212355 + 0.895997i 0.969956 + 0.243279i \(0.0782231\pi\)
−0.757601 + 0.652718i \(0.773629\pi\)
\(662\) −19.0322 + 20.1990i −0.739709 + 0.785057i
\(663\) 23.0010 + 6.23683i 0.893283 + 0.242218i
\(664\) −0.196597 + 0.0592711i −0.00762944 + 0.00230016i
\(665\) −4.77002 + 0.841084i −0.184974 + 0.0326158i
\(666\) 16.8360 3.89548i 0.652381 0.150947i
\(667\) 5.48415 31.1021i 0.212347 1.20428i
\(668\) −13.9009 + 9.16844i −0.537843 + 0.354738i
\(669\) −16.2450 + 18.1448i −0.628067 + 0.701520i
\(670\) 0.882211 15.3168i 0.0340828 0.591740i
\(671\) 2.15257 + 1.08106i 0.0830989 + 0.0417338i
\(672\) −0.241606 + 8.36946i −0.00932015 + 0.322859i
\(673\) −4.81426 1.14100i −0.185576 0.0439823i 0.136777 0.990602i \(-0.456326\pi\)
−0.322353 + 0.946620i \(0.604474\pi\)
\(674\) −1.37297 + 0.904283i −0.0528848 + 0.0348317i
\(675\) −11.1290 8.96297i −0.428354 0.344985i
\(676\) 7.68739 17.8846i 0.295669 0.687870i
\(677\) 3.20776 + 10.7147i 0.123284 + 0.411798i 0.997243 0.0742018i \(-0.0236409\pi\)
−0.873959 + 0.485999i \(0.838456\pi\)
\(678\) 14.8311 10.3331i 0.569583 0.396839i
\(679\) 0.703837 + 1.07013i 0.0270108 + 0.0410679i
\(680\) −14.4397 + 28.8907i −0.553736 + 1.10791i
\(681\) −17.6578 10.9645i −0.676647 0.420159i
\(682\) 1.92541 + 3.32996i 0.0737278 + 0.127511i
\(683\) 11.7798 + 32.3649i 0.450743 + 1.23841i 0.932202 + 0.361938i \(0.117885\pi\)
−0.481459 + 0.876469i \(0.659893\pi\)
\(684\) −16.5637 + 15.4809i −0.633329 + 0.591925i
\(685\) 5.52343 15.1755i 0.211039 0.579826i
\(686\) 15.7914 2.79494i 0.602920 0.106711i
\(687\) 1.89170 1.31618i 0.0721729 0.0502152i
\(688\) 28.0910 14.1985i 1.07096 0.541314i
\(689\) −1.87252 + 1.76663i −0.0713373 + 0.0673033i
\(690\) −24.4850 + 19.2671i −0.932128 + 0.733485i
\(691\) −16.6308 22.3390i −0.632664 0.849815i 0.364003 0.931398i \(-0.381410\pi\)
−0.996667 + 0.0815831i \(0.974002\pi\)
\(692\) 1.42973 + 4.75334i 0.0543500 + 0.180695i
\(693\) −0.662099 + 0.193915i −0.0251511 + 0.00736621i
\(694\) −3.57943 + 30.7959i −0.135873 + 1.16899i
\(695\) −1.53422 1.00908i −0.0581964 0.0382764i
\(696\) 14.3242 11.3015i 0.542956 0.428381i
\(697\) 29.3943 39.4834i 1.11339 1.49554i
\(698\) 0.902931 + 7.68218i 0.0341764 + 0.290775i
\(699\) 32.5237 0.849065i 1.23016 0.0321146i
\(700\) 3.77366 + 2.80184i 0.142631 + 0.105900i
\(701\) 21.8687 + 37.8776i 0.825968 + 1.43062i 0.901177 + 0.433451i \(0.142704\pi\)
−0.0752095 + 0.997168i \(0.523963\pi\)
\(702\) 1.81547 + 13.1568i 0.0685205 + 0.496571i
\(703\) −13.3289 7.69543i −0.502708 0.290239i
\(704\) −0.258189 2.13734i −0.00973088 0.0805540i
\(705\) −31.1451 + 6.33396i −1.17299 + 0.238551i
\(706\) 16.2919 12.1452i 0.613154 0.457090i
\(707\) −7.55169 + 3.25748i −0.284011 + 0.122510i
\(708\) 19.8574 + 42.7742i 0.746286 + 1.60755i
\(709\) 26.5555 + 1.54668i 0.997312 + 0.0580868i 0.549028 0.835804i \(-0.314998\pi\)
0.448285 + 0.893891i \(0.352035\pi\)
\(710\) 13.8804 18.6697i 0.520922 0.700660i
\(711\) −6.89308 + 11.7760i −0.258511 + 0.441636i
\(712\) −14.6106 39.9023i −0.547554 1.49540i
\(713\) 9.94982 + 85.1262i 0.372624 + 3.18800i
\(714\) −15.1382 + 4.97689i −0.566533 + 0.186255i
\(715\) 0.209244 0.698923i 0.00782527 0.0261382i
\(716\) −14.4543 + 17.2710i −0.540181 + 0.645448i
\(717\) 25.3707 + 17.8780i 0.947487 + 0.667666i
\(718\) −39.0868 + 32.8406i −1.45871 + 1.22560i
\(719\) 38.0956 31.9660i 1.42073 1.19213i 0.469778 0.882784i \(-0.344334\pi\)
0.950949 0.309347i \(-0.100111\pi\)
\(720\) −17.9659 1.10775i −0.669548 0.0412834i
\(721\) −2.49258 2.09152i −0.0928286 0.0778924i
\(722\) −6.67770 + 0.00429777i −0.248518 + 0.000159947i
\(723\) 0.763988 + 5.32667i 0.0284130 + 0.198101i
\(724\) 21.7279 12.5819i 0.807512 0.467604i
\(725\) −0.595524 10.2247i −0.0221172 0.379738i
\(726\) −24.2856 + 11.2553i −0.901323 + 0.417723i
\(727\) 13.0436 + 12.3060i 0.483759 + 0.456403i 0.889067 0.457777i \(-0.151354\pi\)
−0.405308 + 0.914180i \(0.632836\pi\)
\(728\) −0.766893 4.30070i −0.0284230 0.159394i
\(729\) 16.9816 + 20.9911i 0.628948 + 0.777447i
\(730\) −3.84856 1.92972i −0.142442 0.0714221i
\(731\) 43.5725 + 41.1085i 1.61159 + 1.52045i
\(732\) −0.954563 + 30.9922i −0.0352817 + 1.14551i
\(733\) −5.04858 + 0.294046i −0.186474 + 0.0108609i −0.151128 0.988514i \(-0.548290\pi\)
−0.0353461 + 0.999375i \(0.511253\pi\)
\(734\) −14.4387 + 21.9837i −0.532940 + 0.811434i
\(735\) 2.31264 + 16.1242i 0.0853032 + 0.594750i
\(736\) 13.6097 45.9977i 0.501659 1.69550i
\(737\) −1.25106 + 1.49096i −0.0460834 + 0.0549201i
\(738\) 26.6590 + 6.46867i 0.981331 + 0.238115i
\(739\) 14.9980 12.5848i 0.551710 0.462940i −0.323810 0.946122i \(-0.604964\pi\)
0.875520 + 0.483183i \(0.160519\pi\)
\(740\) −2.83328 11.8863i −0.104153 0.436950i
\(741\) 6.81372 9.66936i 0.250308 0.355213i
\(742\) 0.395901 1.67524i 0.0145340 0.0615000i
\(743\) −3.03084 + 10.1237i −0.111191 + 0.371403i −0.995414 0.0956616i \(-0.969503\pi\)
0.884223 + 0.467065i \(0.154689\pi\)
\(744\) −28.4432 + 40.5297i −1.04278 + 1.48589i
\(745\) −7.99676 + 0.934687i −0.292978 + 0.0342443i
\(746\) −31.3241 9.35586i −1.14686 0.342542i
\(747\) 0.110022 0.187960i 0.00402549 0.00687710i
\(748\) 3.65915 1.84360i 0.133792 0.0674086i
\(749\) 0.405040 6.95427i 0.0147998 0.254103i
\(750\) −17.7137 + 22.2950i −0.646814 + 0.814098i
\(751\) −22.1235 + 9.54313i −0.807297 + 0.348234i −0.759405 0.650619i \(-0.774510\pi\)
−0.0478921 + 0.998853i \(0.515250\pi\)
\(752\) 33.4879 35.6787i 1.22118 1.30107i
\(753\) −2.05326 10.0962i −0.0748250 0.367927i
\(754\) −6.11437 + 7.29636i −0.222672 + 0.265718i
\(755\) −10.3303 5.96422i −0.375959 0.217060i
\(756\) −5.85283 6.67936i −0.212865 0.242926i
\(757\) −38.1102 + 22.0029i −1.38514 + 0.799710i −0.992762 0.120095i \(-0.961680\pi\)
−0.392376 + 0.919805i \(0.628347\pi\)
\(758\) 8.84895 50.3745i 0.321408 1.82968i
\(759\) 3.95118 0.103149i 0.143419 0.00374409i
\(760\) 11.0239 + 11.6396i 0.399879 + 0.422211i
\(761\) 29.3649 + 21.8613i 1.06448 + 0.792473i 0.978998 0.203868i \(-0.0653512\pi\)
0.0854769 + 0.996340i \(0.472759\pi\)
\(762\) −21.8570 + 0.584677i −0.791796 + 0.0211806i
\(763\) −6.69413 4.40280i −0.242344 0.159392i
\(764\) 3.58213 + 2.34940i 0.129597 + 0.0849984i
\(765\) −9.62880 32.8764i −0.348130 1.18865i
\(766\) −25.2348 26.7129i −0.911772 0.965177i
\(767\) −14.6930 19.7361i −0.530532 0.712628i
\(768\) 23.5554 14.5995i 0.849981 0.526814i
\(769\) 11.0647 + 11.7279i 0.399003 + 0.422919i 0.895460 0.445143i \(-0.146847\pi\)
−0.496456 + 0.868062i \(0.665366\pi\)
\(770\) 0.140215 + 0.467256i 0.00505300 + 0.0168387i
\(771\) 4.67071 3.24971i 0.168212 0.117035i
\(772\) 0.522065 1.75202i 0.0187895 0.0630567i
\(773\) −29.2307 10.6391i −1.05135 0.382661i −0.242180 0.970231i \(-0.577863\pi\)
−0.809173 + 0.587570i \(0.800085\pi\)
\(774\) −11.5854 + 31.3101i −0.416430 + 1.12542i
\(775\) 9.50628 + 26.1183i 0.341476 + 0.938197i
\(776\) 1.67160 3.89588i 0.0600071 0.139854i
\(777\) 3.18030 5.12172i 0.114092 0.183741i
\(778\) −11.2751 + 5.67164i −0.404231 + 0.203338i
\(779\) −13.4258 20.4130i −0.481030 0.731371i
\(780\) 9.29453 1.34530i 0.332798 0.0481694i
\(781\) −2.82730 + 0.846439i −0.101169 + 0.0302880i
\(782\) 91.1361 5.36693i 3.25902 0.191921i
\(783\) −2.97636 + 19.1222i −0.106366 + 0.683372i
\(784\) −17.2571 18.1974i −0.616325 0.649906i
\(785\) −2.78646 + 11.7570i −0.0994529 + 0.419625i
\(786\) −30.8530 + 8.18954i −1.10049 + 0.292111i
\(787\) 32.2324 + 16.1877i 1.14896 + 0.577030i 0.918254 0.395993i \(-0.129600\pi\)
0.230708 + 0.973023i \(0.425896\pi\)
\(788\) −20.3626 + 35.3741i −0.725387 + 1.26015i
\(789\) 6.20453 + 5.55488i 0.220887 + 0.197759i
\(790\) 8.35899 + 4.81890i 0.297400 + 0.171449i
\(791\) 1.09505 6.21033i 0.0389355 0.220814i
\(792\) 1.74329 + 1.47485i 0.0619450 + 0.0524067i
\(793\) −2.80923 15.9319i −0.0997585 0.565759i
\(794\) −11.4100 + 31.4117i −0.404926 + 1.11476i
\(795\) 3.57162 + 0.968464i 0.126672 + 0.0343479i
\(796\) 0.711635 + 1.94740i 0.0252232 + 0.0690237i
\(797\) 27.6099 6.54368i 0.977994 0.231789i 0.289618 0.957142i \(-0.406472\pi\)
0.688377 + 0.725354i \(0.258324\pi\)
\(798\) −0.248589 + 7.90569i −0.00879995 + 0.279858i
\(799\) 85.5120 + 36.8863i 3.02520 + 1.30494i
\(800\) 0.854543 15.5329i 0.0302127 0.549171i
\(801\) 40.1550 + 20.4681i 1.41881 + 0.723204i
\(802\) −3.30716 + 1.42909i −0.116780 + 0.0504630i
\(803\) 0.245118 + 0.488070i 0.00865002 + 0.0172236i
\(804\) −24.1890 6.52555i −0.853079 0.230138i
\(805\) −1.26190 + 10.7962i −0.0444760 + 0.380516i
\(806\) 10.2170 23.7276i 0.359878 0.835770i
\(807\) −16.6039 42.1613i −0.584485 1.48415i
\(808\) 22.7715 + 14.9142i 0.801100 + 0.524679i
\(809\) 18.2279i 0.640858i 0.947273 + 0.320429i \(0.103827\pi\)
−0.947273 + 0.320429i \(0.896173\pi\)
\(810\) 14.7631 12.1058i 0.518722 0.425354i
\(811\) −9.16003 −0.321652 −0.160826 0.986983i \(-0.551416\pi\)
−0.160826 + 0.986983i \(0.551416\pi\)
\(812\) 0.730841 6.32332i 0.0256475 0.221905i
\(813\) 3.12755 20.9155i 0.109688 0.733540i
\(814\) −0.613064 + 1.42376i −0.0214879 + 0.0499028i
\(815\) 25.7629 + 3.01125i 0.902435 + 0.105480i
\(816\) 41.3588 + 32.7301i 1.44785 + 1.14578i
\(817\) 26.5709 13.3444i 0.929600 0.466862i
\(818\) 2.13968 + 4.95156i 0.0748120 + 0.173127i
\(819\) 3.70006 + 2.78912i 0.129290 + 0.0974597i
\(820\) 4.44913 18.8806i 0.155370 0.659339i
\(821\) −0.322619 + 0.747914i −0.0112595 + 0.0261024i −0.923753 0.382989i \(-0.874895\pi\)
0.912494 + 0.409091i \(0.134154\pi\)
\(822\) −22.4131 13.8972i −0.781745 0.484722i
\(823\) −9.61082 40.5512i −0.335012 1.41353i −0.836312 0.548253i \(-0.815293\pi\)
0.501300 0.865273i \(-0.332855\pi\)
\(824\) −1.22961 + 10.6991i −0.0428356 + 0.372722i
\(825\) 1.23912 0.328055i 0.0431406 0.0114214i
\(826\) 15.4638 + 5.61710i 0.538055 + 0.195444i
\(827\) 11.2143 1.97738i 0.389959 0.0687602i 0.0247686 0.999693i \(-0.492115\pi\)
0.365190 + 0.930933i \(0.381004\pi\)
\(828\) 22.6208 + 45.5734i 0.786127 + 1.58379i
\(829\) −2.77019 0.488459i −0.0962126 0.0169649i 0.125335 0.992115i \(-0.460000\pi\)
−0.221547 + 0.975150i \(0.571111\pi\)
\(830\) −0.133420 0.0769155i −0.00463107 0.00266978i
\(831\) −17.2639 52.6259i −0.598880 1.82557i
\(832\) −10.4787 + 9.96291i −0.363284 + 0.345402i
\(833\) 21.4212 42.6531i 0.742200 1.47784i
\(834\) −2.12537 + 2.11543i −0.0735956 + 0.0732512i
\(835\) −12.1525 2.88020i −0.420555 0.0996733i
\(836\) −0.238703 2.01968i −0.00825571 0.0698522i
\(837\) −7.14530 52.0295i −0.246978 1.79840i
\(838\) −25.6153 + 1.50847i −0.884867 + 0.0521091i
\(839\) 12.0883 + 40.3776i 0.417333 + 1.39399i 0.865890 + 0.500235i \(0.166753\pi\)
−0.448557 + 0.893754i \(0.648062\pi\)
\(840\) −4.69551 + 4.16975i −0.162010 + 0.143870i
\(841\) 12.6401 8.31350i 0.435864 0.286672i
\(842\) −7.98682 15.8776i −0.275244 0.547178i
\(843\) 0.724276 22.5712i 0.0249454 0.777392i
\(844\) 1.52051 + 25.5398i 0.0523382 + 0.879116i
\(845\) 13.7196 4.99352i 0.471968 0.171782i
\(846\) −0.276831 + 51.9002i −0.00951766 + 1.78437i
\(847\) −3.19388 + 8.77511i −0.109743 + 0.301516i
\(848\) −5.34882 + 1.96242i −0.183679 + 0.0673897i
\(849\) 28.1178 2.37533i 0.965000 0.0815211i
\(850\) 28.3575 8.50958i 0.972656 0.291876i
\(851\) −25.1229 + 23.7022i −0.861200 + 0.812501i
\(852\) −25.2075 28.4226i −0.863593 0.973743i
\(853\) −31.6511 + 23.5634i −1.08371 + 0.806795i −0.982162 0.188035i \(-0.939788\pi\)
−0.101551 + 0.994830i \(0.532381\pi\)
\(854\) 7.42846 + 7.86356i 0.254197 + 0.269086i
\(855\) −16.9689 1.09014i −0.580324 0.0372819i
\(856\) −19.9450 + 11.5667i −0.681707 + 0.395341i
\(857\) 10.5022 15.9678i 0.358748 0.545450i −0.610348 0.792133i \(-0.708970\pi\)
0.969096 + 0.246683i \(0.0793407\pi\)
\(858\) −1.04733 0.567891i −0.0357554 0.0193875i
\(859\) 13.9149 18.6909i 0.474769 0.637726i −0.498637 0.866811i \(-0.666166\pi\)
0.973406 + 0.229085i \(0.0735734\pi\)
\(860\) 22.1933 + 8.04536i 0.756785 + 0.274344i
\(861\) 8.16057 4.99991i 0.278111 0.170396i
\(862\) 1.63544 9.31006i 0.0557032 0.317102i
\(863\) 8.90827 + 15.4296i 0.303241 + 0.525229i 0.976868 0.213843i \(-0.0685980\pi\)
−0.673627 + 0.739071i \(0.735265\pi\)
\(864\) −7.77077 + 28.3481i −0.264367 + 0.964422i
\(865\) −1.86139 + 3.22402i −0.0632890 + 0.109620i
\(866\) −19.7907 16.5847i −0.672515 0.563570i
\(867\) −22.5134 + 67.2675i −0.764594 + 2.28453i
\(868\) 3.02153 + 17.0079i 0.102557 + 0.577285i
\(869\) −0.484807 1.12391i −0.0164459 0.0381260i
\(870\) 13.5351 + 2.01503i 0.458882 + 0.0683159i
\(871\) 13.0495 + 0.760048i 0.442166 + 0.0257532i
\(872\) 0.0512028 + 26.5189i 0.00173395 + 0.898044i
\(873\) 1.51261 + 4.23446i 0.0511942 + 0.143315i
\(874\) 12.9683 43.4190i 0.438661 1.46867i
\(875\) 1.15330 + 9.86708i 0.0389885 + 0.333568i
\(876\) −4.36992 + 5.50738i −0.147646 + 0.186077i
\(877\) 48.7845 + 14.6051i 1.64733 + 0.493180i 0.970124 0.242610i \(-0.0780034\pi\)
0.677211 + 0.735789i \(0.263189\pi\)
\(878\) −0.821722 + 3.47709i −0.0277318 + 0.117346i
\(879\) 4.23141 46.7553i 0.142722 1.57702i
\(880\) 1.03469 1.23957i 0.0348795 0.0417858i
\(881\) −24.1830 28.8202i −0.814746 0.970976i 0.185185 0.982704i \(-0.440711\pi\)
−0.999931 + 0.0117273i \(0.996267\pi\)
\(882\) 26.5466 + 1.68828i 0.893869 + 0.0568475i
\(883\) 13.5925 + 11.4055i 0.457425 + 0.383825i 0.842182 0.539193i \(-0.181271\pi\)
−0.384758 + 0.923018i \(0.625715\pi\)
\(884\) −24.6071 12.3185i −0.827627 0.414317i
\(885\) −13.1566 + 32.8309i −0.442255 + 1.10360i
\(886\) 2.49815 3.80359i 0.0839271 0.127784i
\(887\) −0.239653 4.11468i −0.00804676 0.138157i −0.999939 0.0110733i \(-0.996475\pi\)
0.991892 0.127084i \(-0.0405618\pi\)
\(888\) −19.9463 + 0.559259i −0.669354 + 0.0187675i
\(889\) −5.23468 + 5.54844i −0.175566 + 0.186089i
\(890\) 14.2848 28.4890i 0.478827 0.954955i
\(891\) −2.41940 + 0.111911i −0.0810530 + 0.00374916i
\(892\) 22.5356 16.8223i 0.754549 0.563252i
\(893\) 31.7214 33.6227i 1.06152 1.12514i
\(894\) −1.17660 + 13.0948i −0.0393513 + 0.437956i
\(895\) −16.8624 + 0.982126i −0.563649 + 0.0328288i
\(896\) 2.18724 9.41758i 0.0730707 0.314619i
\(897\) −16.4022 20.8719i −0.547655 0.696894i
\(898\) −0.0249409 38.7521i −0.000832288 1.29318i
\(899\) 24.1962 28.8359i 0.806989 0.961732i
\(900\) 10.5466 + 12.6894i 0.351554 + 0.422979i
\(901\) −6.96997 8.30649i −0.232203 0.276729i
\(902\) −1.88406 + 1.58298i −0.0627322 + 0.0527074i
\(903\) 4.89068 + 10.5705i 0.162752 + 0.351763i
\(904\) −19.1491 + 8.30400i −0.636889 + 0.276187i
\(905\) 18.0398 + 5.40077i 0.599664 + 0.179528i
\(906\) −12.9837 + 14.5209i −0.431354 + 0.482426i
\(907\) −4.64488 + 0.542908i −0.154231 + 0.0180270i −0.192858 0.981227i \(-0.561776\pi\)
0.0386272 + 0.999254i \(0.487702\pi\)
\(908\) 17.4785 + 16.4476i 0.580044 + 0.545833i
\(909\) −28.4629 + 4.84354i −0.944055 + 0.160650i
\(910\) 1.95484 2.62933i 0.0648022 0.0871615i
\(911\) −2.78253 + 47.7742i −0.0921892 + 1.58283i 0.562414 + 0.826856i \(0.309873\pi\)
−0.654603 + 0.755973i \(0.727164\pi\)
\(912\) 22.2873 13.7342i 0.738005 0.454786i
\(913\) 0.00773811 + 0.0179390i 0.000256094 + 0.000593693i
\(914\) 3.64125 + 4.88449i 0.120442 + 0.161564i
\(915\) −17.4183 + 15.4079i −0.575832 + 0.509371i
\(916\) −2.44205 + 1.05713i −0.0806876 + 0.0349285i
\(917\) −5.56825 + 9.64450i −0.183880 + 0.318489i
\(918\) −55.7680 + 4.41171i −1.84062 + 0.145608i
\(919\) 24.5338 14.1646i 0.809295 0.467247i −0.0374159 0.999300i \(-0.511913\pi\)
0.846711 + 0.532053i \(0.178579\pi\)
\(920\) 32.1186 16.2083i 1.05892 0.534372i
\(921\) 11.8166 + 6.41713i 0.389371 + 0.211451i
\(922\) −1.95526 + 0.229813i −0.0643931 + 0.00756849i
\(923\) 15.8991 + 11.8364i 0.523324 + 0.389600i
\(924\) 0.793727 0.0680814i 0.0261117 0.00223971i
\(925\) −6.15511 + 9.35838i −0.202379 + 0.307702i
\(926\) −1.74712 + 15.0314i −0.0574139 + 0.493964i
\(927\) −6.76636 9.20314i −0.222236 0.302271i
\(928\) −18.7968 + 9.51597i −0.617035 + 0.312377i
\(929\) 20.7204 15.4258i 0.679815 0.506104i −0.200983 0.979595i \(-0.564414\pi\)
0.880799 + 0.473491i \(0.157006\pi\)
\(930\) −36.7561 + 5.29596i −1.20528 + 0.173661i
\(931\) −16.2578 17.2323i −0.532828 0.564764i
\(932\) −37.0056 6.47598i −1.21216 0.212128i
\(933\) −20.1466 + 42.8695i −0.659570 + 1.40349i
\(934\) 41.3380 7.31644i 1.35262 0.239401i
\(935\) 2.88768 + 1.05103i 0.0944372 + 0.0343723i
\(936\) 0.953662 15.3064i 0.0311714 0.500306i
\(937\) −42.6477 + 15.5225i −1.39324 + 0.507098i −0.926165 0.377120i \(-0.876915\pi\)
−0.467075 + 0.884217i \(0.654692\pi\)
\(938\) −7.56673 + 4.37515i −0.247063 + 0.142854i
\(939\) −5.55286 10.3725i −0.181211 0.338494i
\(940\) 36.6994 0.0472396i 1.19700 0.00154079i
\(941\) −40.9236 + 26.9159i −1.33407 + 0.877432i −0.997926 0.0643780i \(-0.979494\pi\)
−0.336145 + 0.941810i \(0.609123\pi\)
\(942\) 17.8627 + 8.38058i 0.581999 + 0.273054i
\(943\) −52.5261 + 15.7253i −1.71049 + 0.512086i
\(944\) −12.6944 52.9539i −0.413166 1.72350i
\(945\) 0.639981 6.62981i 0.0208186 0.215668i
\(946\) −1.64724 2.50099i −0.0535563 0.0813143i
\(947\) 3.45964 14.5974i 0.112423 0.474350i −0.887486 0.460836i \(-0.847550\pi\)
0.999909 0.0135149i \(-0.00430205\pi\)
\(948\) 10.4946 11.7523i 0.340848 0.381698i
\(949\) 1.64624 3.27794i 0.0534393 0.106406i
\(950\) 0.845026 14.6712i 0.0274162 0.475996i
\(951\) −1.56842 + 7.48288i −0.0508596 + 0.242649i
\(952\) 18.2720 2.17146i 0.592198 0.0703773i
\(953\) −2.02226 0.356580i −0.0655076 0.0115507i 0.140798 0.990038i \(-0.455033\pi\)
−0.206306 + 0.978488i \(0.566144\pi\)
\(954\) 2.74088 5.38573i 0.0887394 0.174369i
\(955\) 0.557911 + 3.16407i 0.0180536 + 0.102387i
\(956\) −24.6274 26.0363i −0.796506 0.842073i
\(957\) −1.22385 1.23119i −0.0395614 0.0397986i
\(958\) −14.8334 + 15.7428i −0.479247 + 0.508627i
\(959\) −8.95245 + 2.12177i −0.289090 + 0.0685155i
\(960\) 20.0811 + 5.36192i 0.648113 + 0.173055i
\(961\) −28.1822 + 65.3338i −0.909104 + 2.10754i
\(962\) 10.1288 2.40745i 0.326565 0.0776193i
\(963\) 7.15365 23.3852i 0.230523 0.753577i
\(964\) 0.353307 6.20360i 0.0113792 0.199805i
\(965\) 1.22527 0.615354i 0.0394428 0.0198089i
\(966\) 16.8361 + 5.62272i 0.541692 + 0.180908i
\(967\) −3.46481 + 29.6434i −0.111421 + 0.953266i 0.815693 + 0.578486i \(0.196356\pi\)
−0.927113 + 0.374781i \(0.877718\pi\)
\(968\) 30.0609 7.18590i 0.966195 0.230964i
\(969\) 38.9903 + 31.0194i 1.25255 + 0.996485i
\(970\) 2.98706 1.08938i 0.0959088 0.0349779i
\(971\) 5.70505i 0.183084i 0.995801 + 0.0915418i \(0.0291795\pi\)
−0.995801 + 0.0915418i \(0.970820\pi\)
\(972\) −14.4204 27.6415i −0.462536 0.886600i
\(973\) 1.04617i 0.0335385i
\(974\) 3.07977 + 8.44469i 0.0986823 + 0.270585i
\(975\) −6.73689 5.35964i −0.215753 0.171646i
\(976\) 8.16719 34.8598i 0.261425 1.11583i
\(977\) −2.27661 + 19.4776i −0.0728351 + 0.623144i 0.906686 + 0.421805i \(0.138603\pi\)
−0.979522 + 0.201339i \(0.935471\pi\)
\(978\) 13.4175 40.1758i 0.429043 1.28468i
\(979\) −3.61295 + 1.81449i −0.115470 + 0.0579913i
\(980\) 1.06948 18.7787i 0.0341634 0.599864i
\(981\) −19.1797 20.5743i −0.612361 0.656887i
\(982\) −3.04325 12.8037i −0.0971139 0.408584i
\(983\) 14.7334 34.1559i 0.469924 1.08941i −0.504240 0.863563i \(-0.668227\pi\)
0.974164 0.225842i \(-0.0725134\pi\)
\(984\) −28.6944 13.4174i −0.914744 0.427731i
\(985\) −29.7870 + 7.05964i −0.949092 + 0.224939i
\(986\) −29.1832 27.4975i −0.929384 0.875698i
\(987\) 12.7651 + 12.8417i 0.406319 + 0.408755i
\(988\) −9.92302 + 9.38606i −0.315693 + 0.298610i
\(989\) −11.5869 65.7125i −0.368441 2.08953i
\(990\) 0.0904582 + 1.71021i 0.00287495 + 0.0543541i
\(991\) −25.2117 4.44550i −0.800875 0.141216i −0.241792 0.970328i \(-0.577735\pi\)
−0.559082 + 0.829112i \(0.688846\pi\)
\(992\) 41.4606 39.3690i 1.31637 1.24997i
\(993\) −6.97289 + 33.2674i −0.221278 + 1.05571i
\(994\) −13.2318 0.762122i −0.419689 0.0241731i
\(995\) −0.697888 + 1.38961i −0.0221245 + 0.0440536i
\(996\) −0.167506 + 0.187581i −0.00530763 + 0.00594374i
\(997\) 6.07850 25.6472i 0.192508 0.812256i −0.787984 0.615696i \(-0.788875\pi\)
0.980492 0.196560i \(-0.0629770\pi\)
\(998\) 1.14112 0.751581i 0.0361216 0.0237909i
\(999\) 15.0992 14.8308i 0.477717 0.469226i
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 648.2.bb.b.11.13 1872
8.3 odd 2 inner 648.2.bb.b.11.63 yes 1872
81.59 odd 54 inner 648.2.bb.b.59.63 yes 1872
648.59 even 54 inner 648.2.bb.b.59.13 yes 1872
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
648.2.bb.b.11.13 1872 1.1 even 1 trivial
648.2.bb.b.11.63 yes 1872 8.3 odd 2 inner
648.2.bb.b.59.13 yes 1872 648.59 even 54 inner
648.2.bb.b.59.63 yes 1872 81.59 odd 54 inner