Properties

Label 930.2.bo.b.179.13
Level $930$
Weight $2$
Character 930.179
Analytic conductor $7.426$
Analytic rank $0$
Dimension $256$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(179,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 15, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.179");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bo (of order \(30\), degree \(8\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(32\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 179.13
Character \(\chi\) \(=\) 930.179
Dual form 930.2.bo.b.239.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.309017 - 0.951057i) q^{2} +(-0.608421 + 1.62167i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.34040 + 1.78978i) q^{5} +(1.73032 + 0.0775177i) q^{6} +(1.34591 - 3.02296i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.25965 - 1.97332i) q^{9} +O(q^{10})\) \(q+(-0.309017 - 0.951057i) q^{2} +(-0.608421 + 1.62167i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.34040 + 1.78978i) q^{5} +(1.73032 + 0.0775177i) q^{6} +(1.34591 - 3.02296i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.25965 - 1.97332i) q^{9} +(2.11639 + 0.721724i) q^{10} +(-0.120688 - 1.14827i) q^{11} +(-0.460973 - 1.66958i) q^{12} +(4.21467 + 4.68087i) q^{13} +(-3.29092 - 0.345889i) q^{14} +(-2.08692 - 3.26263i) q^{15} +(0.309017 - 0.951057i) q^{16} +(3.08976 + 0.324747i) q^{17} +(-1.17847 + 2.75884i) q^{18} +(2.82222 - 3.13439i) q^{19} +(0.0323997 - 2.23583i) q^{20} +(4.08338 + 4.02186i) q^{21} +(-1.05477 + 0.469615i) q^{22} +(-3.96193 + 5.45313i) q^{23} +(-1.44542 + 0.954341i) q^{24} +(-1.40665 - 4.79806i) q^{25} +(3.14936 - 5.45486i) q^{26} +(4.57490 - 2.46380i) q^{27} +(0.687989 + 3.23673i) q^{28} +(1.70589 + 5.25019i) q^{29} +(-2.45806 + 2.99298i) q^{30} +(-5.21092 + 1.96120i) q^{31} -1.00000 q^{32} +(1.93554 + 0.502914i) q^{33} +(-0.645936 - 3.03889i) q^{34} +(3.60639 + 6.46087i) q^{35} +(2.98798 + 0.268260i) q^{36} +(0.0241547 + 0.0418371i) q^{37} +(-3.85310 - 1.71551i) q^{38} +(-10.1551 + 3.98688i) q^{39} +(-2.13642 + 0.660097i) q^{40} +(-0.141204 + 0.664315i) q^{41} +(2.56318 - 5.12634i) q^{42} +(-1.07932 + 1.19870i) q^{43} +(0.772574 + 0.858030i) q^{44} +(6.56065 - 1.39924i) q^{45} +(6.41054 + 2.08291i) q^{46} +(-3.17476 + 9.77091i) q^{47} +(1.35429 + 1.07977i) q^{48} +(-2.64291 - 2.93525i) q^{49} +(-4.12855 + 2.82048i) q^{50} +(-2.40651 + 4.81300i) q^{51} +(-6.16108 - 1.30958i) q^{52} +(3.83443 + 8.61227i) q^{53} +(-3.75694 - 3.58963i) q^{54} +(2.21692 + 1.32314i) q^{55} +(2.86572 - 1.65452i) q^{56} +(3.36587 + 6.48375i) q^{57} +(4.46608 - 3.24480i) q^{58} +(1.32774 + 6.24654i) q^{59} +(3.60608 + 1.41287i) q^{60} +6.48797i q^{61} +(3.47548 + 4.34983i) q^{62} +(-9.00655 + 4.17492i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-14.0271 + 1.26911i) q^{65} +(-0.119817 - 1.99622i) q^{66} +(3.45989 + 1.99757i) q^{67} +(-2.69055 + 1.55339i) q^{68} +(-6.43268 - 9.74276i) q^{69} +(5.03022 - 5.42639i) q^{70} +(-3.11955 - 7.00663i) q^{71} +(-0.668207 - 2.92464i) q^{72} +(1.14143 + 10.8600i) q^{73} +(0.0323253 - 0.0359008i) q^{74} +(8.63671 + 0.638115i) q^{75} +(-0.440874 + 4.19464i) q^{76} +(-3.63360 - 1.18063i) q^{77} +(6.92986 + 8.42608i) q^{78} +(10.5402 + 1.10782i) q^{79} +(1.28798 + 1.82787i) q^{80} +(1.21203 + 8.91801i) q^{81} +(0.675435 - 0.0709911i) q^{82} +(1.04037 - 4.89454i) q^{83} +(-5.66751 - 0.853601i) q^{84} +(-4.72275 + 5.09471i) q^{85} +(1.47356 + 0.656071i) q^{86} +(-9.55199 - 0.427927i) q^{87} +(0.577297 - 0.999907i) q^{88} +(9.81568 - 7.13151i) q^{89} +(-3.35811 - 5.80716i) q^{90} +(19.8226 - 6.44076i) q^{91} -6.74044i q^{92} +(-0.0100028 - 9.64365i) q^{93} +10.2737 q^{94} +(1.82698 + 9.25251i) q^{95} +(0.608421 - 1.62167i) q^{96} +(-10.2337 - 14.0855i) q^{97} +(-1.97488 + 3.42060i) q^{98} +(-1.99319 + 2.83284i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{30}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 0.951057i −0.218508 0.672499i
\(3\) −0.608421 + 1.62167i −0.351272 + 0.936274i
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) −1.34040 + 1.78978i −0.599446 + 0.800415i
\(6\) 1.73032 + 0.0775177i 0.706398 + 0.0316465i
\(7\) 1.34591 3.02296i 0.508706 1.14257i −0.458527 0.888680i \(-0.651623\pi\)
0.967233 0.253891i \(-0.0817106\pi\)
\(8\) 0.809017 + 0.587785i 0.286031 + 0.207813i
\(9\) −2.25965 1.97332i −0.753216 0.657773i
\(10\) 2.11639 + 0.721724i 0.669262 + 0.228229i
\(11\) −0.120688 1.14827i −0.0363888 0.346216i −0.997535 0.0701751i \(-0.977644\pi\)
0.961146 0.276041i \(-0.0890225\pi\)
\(12\) −0.460973 1.66958i −0.133071 0.481967i
\(13\) 4.21467 + 4.68087i 1.16894 + 1.29824i 0.946282 + 0.323342i \(0.104806\pi\)
0.222657 + 0.974897i \(0.428527\pi\)
\(14\) −3.29092 0.345889i −0.879534 0.0924428i
\(15\) −2.08692 3.26263i −0.538839 0.842409i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 3.08976 + 0.324747i 0.749377 + 0.0787627i 0.471515 0.881858i \(-0.343707\pi\)
0.277862 + 0.960621i \(0.410374\pi\)
\(18\) −1.17847 + 2.75884i −0.277767 + 0.650266i
\(19\) 2.82222 3.13439i 0.647462 0.719079i −0.326650 0.945145i \(-0.605920\pi\)
0.974112 + 0.226066i \(0.0725865\pi\)
\(20\) 0.0323997 2.23583i 0.00724479 0.499948i
\(21\) 4.08338 + 4.02186i 0.891066 + 0.877641i
\(22\) −1.05477 + 0.469615i −0.224878 + 0.100122i
\(23\) −3.96193 + 5.45313i −0.826120 + 1.13706i 0.162513 + 0.986706i \(0.448040\pi\)
−0.988633 + 0.150350i \(0.951960\pi\)
\(24\) −1.44542 + 0.954341i −0.295045 + 0.194804i
\(25\) −1.40665 4.79806i −0.281329 0.959611i
\(26\) 3.14936 5.45486i 0.617641 1.06979i
\(27\) 4.57490 2.46380i 0.880439 0.474159i
\(28\) 0.687989 + 3.23673i 0.130018 + 0.611685i
\(29\) 1.70589 + 5.25019i 0.316776 + 0.974936i 0.975017 + 0.222129i \(0.0713006\pi\)
−0.658241 + 0.752807i \(0.728699\pi\)
\(30\) −2.45806 + 2.99298i −0.448778 + 0.546442i
\(31\) −5.21092 + 1.96120i −0.935909 + 0.352243i
\(32\) −1.00000 −0.176777
\(33\) 1.93554 + 0.502914i 0.336935 + 0.0875460i
\(34\) −0.645936 3.03889i −0.110777 0.521165i
\(35\) 3.60639 + 6.46087i 0.609590 + 1.09209i
\(36\) 2.98798 + 0.268260i 0.497997 + 0.0447100i
\(37\) 0.0241547 + 0.0418371i 0.00397100 + 0.00687798i 0.868004 0.496557i \(-0.165403\pi\)
−0.864033 + 0.503435i \(0.832069\pi\)
\(38\) −3.85310 1.71551i −0.625056 0.278293i
\(39\) −10.1551 + 3.98688i −1.62612 + 0.638412i
\(40\) −2.13642 + 0.660097i −0.337797 + 0.104370i
\(41\) −0.141204 + 0.664315i −0.0220524 + 0.103749i −0.987797 0.155745i \(-0.950222\pi\)
0.965745 + 0.259493i \(0.0835556\pi\)
\(42\) 2.56318 5.12634i 0.395507 0.791012i
\(43\) −1.07932 + 1.19870i −0.164594 + 0.182800i −0.819800 0.572650i \(-0.805915\pi\)
0.655206 + 0.755451i \(0.272582\pi\)
\(44\) 0.772574 + 0.858030i 0.116470 + 0.129353i
\(45\) 6.56065 1.39924i 0.978004 0.208587i
\(46\) 6.41054 + 2.08291i 0.945183 + 0.307109i
\(47\) −3.17476 + 9.77091i −0.463087 + 1.42523i 0.398286 + 0.917261i \(0.369605\pi\)
−0.861373 + 0.507973i \(0.830395\pi\)
\(48\) 1.35429 + 1.07977i 0.195475 + 0.155851i
\(49\) −2.64291 2.93525i −0.377558 0.419321i
\(50\) −4.12855 + 2.82048i −0.583864 + 0.398876i
\(51\) −2.40651 + 4.81300i −0.336978 + 0.673955i
\(52\) −6.16108 1.30958i −0.854389 0.181606i
\(53\) 3.83443 + 8.61227i 0.526700 + 1.18299i 0.959554 + 0.281523i \(0.0908396\pi\)
−0.432855 + 0.901464i \(0.642494\pi\)
\(54\) −3.75694 3.58963i −0.511255 0.488486i
\(55\) 2.21692 + 1.32314i 0.298930 + 0.178412i
\(56\) 2.86572 1.65452i 0.382947 0.221095i
\(57\) 3.36587 + 6.48375i 0.445820 + 0.858794i
\(58\) 4.46608 3.24480i 0.586425 0.426063i
\(59\) 1.32774 + 6.24654i 0.172858 + 0.813231i 0.976056 + 0.217519i \(0.0697965\pi\)
−0.803199 + 0.595711i \(0.796870\pi\)
\(60\) 3.60608 + 1.41287i 0.465543 + 0.182401i
\(61\) 6.48797i 0.830700i 0.909662 + 0.415350i \(0.136341\pi\)
−0.909662 + 0.415350i \(0.863659\pi\)
\(62\) 3.47548 + 4.34983i 0.441386 + 0.552429i
\(63\) −9.00655 + 4.17492i −1.13472 + 0.525991i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −14.0271 + 1.26911i −1.73985 + 0.157413i
\(66\) −0.119817 1.99622i −0.0147484 0.245718i
\(67\) 3.45989 + 1.99757i 0.422693 + 0.244042i 0.696229 0.717820i \(-0.254860\pi\)
−0.273536 + 0.961862i \(0.588193\pi\)
\(68\) −2.69055 + 1.55339i −0.326277 + 0.188376i
\(69\) −6.43268 9.74276i −0.774404 1.17289i
\(70\) 5.03022 5.42639i 0.601226 0.648578i
\(71\) −3.11955 7.00663i −0.370223 0.831534i −0.998563 0.0535950i \(-0.982932\pi\)
0.628340 0.777939i \(-0.283735\pi\)
\(72\) −0.668207 2.92464i −0.0787489 0.344672i
\(73\) 1.14143 + 10.8600i 0.133594 + 1.27106i 0.831764 + 0.555130i \(0.187331\pi\)
−0.698170 + 0.715932i \(0.746002\pi\)
\(74\) 0.0323253 0.0359008i 0.00375774 0.00417339i
\(75\) 8.63671 + 0.638115i 0.997282 + 0.0736831i
\(76\) −0.440874 + 4.19464i −0.0505718 + 0.481158i
\(77\) −3.63360 1.18063i −0.414088 0.134545i
\(78\) 6.92986 + 8.42608i 0.784652 + 0.954066i
\(79\) 10.5402 + 1.10782i 1.18587 + 0.124640i 0.676854 0.736117i \(-0.263343\pi\)
0.509016 + 0.860757i \(0.330010\pi\)
\(80\) 1.28798 + 1.82787i 0.144000 + 0.204362i
\(81\) 1.21203 + 8.91801i 0.134670 + 0.990891i
\(82\) 0.675435 0.0709911i 0.0745894 0.00783966i
\(83\) 1.04037 4.89454i 0.114195 0.537245i −0.883442 0.468541i \(-0.844780\pi\)
0.997637 0.0687049i \(-0.0218867\pi\)
\(84\) −5.66751 0.853601i −0.618376 0.0931355i
\(85\) −4.72275 + 5.09471i −0.512254 + 0.552599i
\(86\) 1.47356 + 0.656071i 0.158898 + 0.0707460i
\(87\) −9.55199 0.427927i −1.02408 0.0458786i
\(88\) 0.577297 0.999907i 0.0615400 0.106590i
\(89\) 9.81568 7.13151i 1.04046 0.755938i 0.0700845 0.997541i \(-0.477673\pi\)
0.970375 + 0.241603i \(0.0776731\pi\)
\(90\) −3.35811 5.80716i −0.353976 0.612128i
\(91\) 19.8226 6.44076i 2.07798 0.675176i
\(92\) 6.74044i 0.702740i
\(93\) −0.0100028 9.64365i −0.00103724 0.999999i
\(94\) 10.2737 1.05966
\(95\) 1.82698 + 9.25251i 0.187444 + 0.949288i
\(96\) 0.608421 1.62167i 0.0620967 0.165511i
\(97\) −10.2337 14.0855i −1.03908 1.43017i −0.897909 0.440182i \(-0.854914\pi\)
−0.141168 0.989986i \(-0.545086\pi\)
\(98\) −1.97488 + 3.42060i −0.199493 + 0.345532i
\(99\) −1.99319 + 2.83284i −0.200323 + 0.284711i
\(100\) 3.95823 + 3.05490i 0.395823 + 0.305490i
\(101\) −6.81289 + 9.37713i −0.677907 + 0.933060i −0.999906 0.0136804i \(-0.995645\pi\)
0.321999 + 0.946740i \(0.395645\pi\)
\(102\) 5.32109 + 0.801426i 0.526866 + 0.0793530i
\(103\) 2.60060 12.2349i 0.256245 1.20554i −0.642230 0.766512i \(-0.721991\pi\)
0.898475 0.439025i \(-0.144676\pi\)
\(104\) 0.658396 + 6.26422i 0.0645611 + 0.614257i
\(105\) −12.6716 + 1.91746i −1.23662 + 0.187124i
\(106\) 7.00586 6.30810i 0.680469 0.612697i
\(107\) −0.497913 + 4.73733i −0.0481351 + 0.457975i 0.943733 + 0.330707i \(0.107287\pi\)
−0.991868 + 0.127267i \(0.959379\pi\)
\(108\) −2.25298 + 4.68232i −0.216793 + 0.450556i
\(109\) −2.14786 + 6.61043i −0.205728 + 0.633164i 0.793955 + 0.607976i \(0.208018\pi\)
−0.999683 + 0.0251880i \(0.991982\pi\)
\(110\) 0.573310 2.51729i 0.0546630 0.240014i
\(111\) −0.0825424 + 0.0137164i −0.00783457 + 0.00130191i
\(112\) −2.45910 2.21418i −0.232363 0.209221i
\(113\) 0.118024 + 1.12293i 0.0111028 + 0.105636i 0.998670 0.0515629i \(-0.0164203\pi\)
−0.987567 + 0.157199i \(0.949754\pi\)
\(114\) 5.12630 5.20472i 0.480122 0.487467i
\(115\) −4.44934 14.4004i −0.414903 1.34284i
\(116\) −4.46608 3.24480i −0.414665 0.301272i
\(117\) −0.286836 18.8940i −0.0265180 1.74675i
\(118\) 5.53052 3.19305i 0.509126 0.293944i
\(119\) 5.14023 8.90315i 0.471205 0.816150i
\(120\) 0.229378 3.86618i 0.0209393 0.352933i
\(121\) 9.45567 2.00986i 0.859606 0.182715i
\(122\) 6.17043 2.00489i 0.558644 0.181515i
\(123\) −0.991390 0.633170i −0.0893906 0.0570910i
\(124\) 3.06296 4.64955i 0.275061 0.417542i
\(125\) 10.4730 + 3.91373i 0.936729 + 0.350055i
\(126\) 6.75376 + 7.27561i 0.601673 + 0.648163i
\(127\) −0.310131 + 0.0659204i −0.0275197 + 0.00584949i −0.221651 0.975126i \(-0.571145\pi\)
0.194131 + 0.980976i \(0.437811\pi\)
\(128\) 0.809017 0.587785i 0.0715077 0.0519534i
\(129\) −1.28723 2.47961i −0.113334 0.218318i
\(130\) 5.54160 + 12.9484i 0.486030 + 1.13565i
\(131\) 9.13985 20.5284i 0.798552 1.79358i 0.225107 0.974334i \(-0.427727\pi\)
0.573445 0.819244i \(-0.305606\pi\)
\(132\) −1.86149 + 0.730819i −0.162022 + 0.0636096i
\(133\) −5.67670 12.7501i −0.492232 1.10557i
\(134\) 0.830636 3.90784i 0.0717561 0.337586i
\(135\) −1.72252 + 11.4906i −0.148251 + 0.988950i
\(136\) 2.30879 + 2.07884i 0.197977 + 0.178259i
\(137\) −6.91143 + 6.22308i −0.590483 + 0.531674i −0.909299 0.416143i \(-0.863382\pi\)
0.318816 + 0.947817i \(0.396715\pi\)
\(138\) −7.27811 + 9.12852i −0.619554 + 0.777071i
\(139\) −3.50689 1.13946i −0.297450 0.0966474i 0.156490 0.987680i \(-0.449982\pi\)
−0.453940 + 0.891032i \(0.649982\pi\)
\(140\) −6.71523 3.10717i −0.567540 0.262604i
\(141\) −13.9136 11.0933i −1.17174 0.934220i
\(142\) −5.69971 + 5.13204i −0.478309 + 0.430671i
\(143\) 4.86623 5.40450i 0.406935 0.451947i
\(144\) −2.57501 + 1.53926i −0.214584 + 0.128272i
\(145\) −11.6833 3.98419i −0.970244 0.330869i
\(146\) 9.97571 4.44147i 0.825596 0.367579i
\(147\) 6.36801 2.50007i 0.525225 0.206202i
\(148\) −0.0441328 0.0196492i −0.00362769 0.00161515i
\(149\) 4.71645 2.72304i 0.386387 0.223080i −0.294207 0.955742i \(-0.595055\pi\)
0.680593 + 0.732661i \(0.261722\pi\)
\(150\) −2.06201 8.41119i −0.168362 0.686771i
\(151\) 8.76763 + 12.0676i 0.713500 + 0.982048i 0.999715 + 0.0238827i \(0.00760283\pi\)
−0.286215 + 0.958165i \(0.592397\pi\)
\(152\) 4.12558 0.876918i 0.334628 0.0711275i
\(153\) −6.34095 6.83090i −0.512635 0.552245i
\(154\) 3.82060i 0.307873i
\(155\) 3.47459 11.9552i 0.279086 0.960266i
\(156\) 5.87224 9.19449i 0.470155 0.736148i
\(157\) 10.1200 3.28818i 0.807663 0.262426i 0.124055 0.992275i \(-0.460410\pi\)
0.683608 + 0.729850i \(0.260410\pi\)
\(158\) −2.20351 10.3667i −0.175302 0.824730i
\(159\) −16.2992 + 0.978311i −1.29261 + 0.0775851i
\(160\) 1.34040 1.78978i 0.105968 0.141495i
\(161\) 11.1522 + 19.3162i 0.878917 + 1.52233i
\(162\) 8.10700 3.90852i 0.636946 0.307083i
\(163\) −5.10403 + 7.02510i −0.399779 + 0.550248i −0.960688 0.277629i \(-0.910451\pi\)
0.560910 + 0.827877i \(0.310451\pi\)
\(164\) −0.276238 0.620440i −0.0215705 0.0484482i
\(165\) −3.49451 + 2.79010i −0.272048 + 0.217209i
\(166\) −4.97647 + 0.523049i −0.386249 + 0.0405964i
\(167\) 2.33054 + 2.09843i 0.180343 + 0.162381i 0.754358 0.656463i \(-0.227948\pi\)
−0.574015 + 0.818845i \(0.694615\pi\)
\(168\) 0.939533 + 5.65390i 0.0724866 + 0.436208i
\(169\) −2.78819 + 26.5278i −0.214476 + 2.04060i
\(170\) 6.30477 + 2.91725i 0.483554 + 0.223743i
\(171\) −12.5624 + 1.51349i −0.960670 + 0.115739i
\(172\) 0.168606 1.60418i 0.0128561 0.122317i
\(173\) −10.7041 11.8881i −0.813815 0.903833i 0.183038 0.983106i \(-0.441407\pi\)
−0.996853 + 0.0792727i \(0.974740\pi\)
\(174\) 2.54475 + 9.21672i 0.192917 + 0.698718i
\(175\) −16.3976 2.20551i −1.23954 0.166721i
\(176\) −1.12936 0.240053i −0.0851289 0.0180947i
\(177\) −10.9377 1.64736i −0.822126 0.123823i
\(178\) −9.81568 7.13151i −0.735716 0.534529i
\(179\) −2.96614 1.32061i −0.221700 0.0987071i 0.292881 0.956149i \(-0.405386\pi\)
−0.514581 + 0.857442i \(0.672053\pi\)
\(180\) −4.48522 + 4.98826i −0.334309 + 0.371803i
\(181\) 11.2104 + 6.47232i 0.833261 + 0.481084i 0.854968 0.518681i \(-0.173577\pi\)
−0.0217067 + 0.999764i \(0.506910\pi\)
\(182\) −12.2511 16.8621i −0.908109 1.24991i
\(183\) −10.5214 3.94741i −0.777762 0.291801i
\(184\) −6.41054 + 2.08291i −0.472592 + 0.153554i
\(185\) −0.107256 0.0128469i −0.00788564 0.000944525i
\(186\) −9.16856 + 2.98956i −0.672272 + 0.219205i
\(187\) 3.58707i 0.262312i
\(188\) −3.17476 9.77091i −0.231543 0.712617i
\(189\) −1.29059 17.1458i −0.0938769 1.24717i
\(190\) 8.23510 4.59674i 0.597437 0.333483i
\(191\) −10.6932 6.17375i −0.773736 0.446717i 0.0604697 0.998170i \(-0.480740\pi\)
−0.834206 + 0.551453i \(0.814073\pi\)
\(192\) −1.73032 0.0775177i −0.124875 0.00559436i
\(193\) −9.55204 + 21.4542i −0.687571 + 1.54431i 0.144418 + 0.989517i \(0.453869\pi\)
−0.831989 + 0.554792i \(0.812798\pi\)
\(194\) −10.2337 + 14.0855i −0.734739 + 1.01128i
\(195\) 6.47629 23.5195i 0.463777 1.68427i
\(196\) 3.86345 + 0.821202i 0.275961 + 0.0586573i
\(197\) −6.14620 + 0.645992i −0.437899 + 0.0460250i −0.320913 0.947109i \(-0.603990\pi\)
−0.116986 + 0.993134i \(0.537323\pi\)
\(198\) 3.31012 + 1.02024i 0.235240 + 0.0725052i
\(199\) 11.4742 10.3314i 0.813384 0.732374i −0.153346 0.988173i \(-0.549005\pi\)
0.966730 + 0.255798i \(0.0823383\pi\)
\(200\) 1.68223 4.70852i 0.118951 0.332942i
\(201\) −5.34448 + 4.39545i −0.376970 + 0.310031i
\(202\) 11.0235 + 3.58175i 0.775609 + 0.252011i
\(203\) 18.1671 + 1.90944i 1.27508 + 0.134016i
\(204\) −0.882105 5.30831i −0.0617597 0.371656i
\(205\) −0.999709 1.14317i −0.0698227 0.0798427i
\(206\) −12.4397 + 1.30746i −0.866713 + 0.0910952i
\(207\) 19.7133 4.50401i 1.37017 0.313050i
\(208\) 5.75417 2.56192i 0.398980 0.177637i
\(209\) −3.93973 2.86238i −0.272517 0.197995i
\(210\) 5.73935 + 11.4589i 0.396053 + 0.790739i
\(211\) −1.75522 3.04014i −0.120835 0.209292i 0.799262 0.600982i \(-0.205224\pi\)
−0.920097 + 0.391690i \(0.871890\pi\)
\(212\) −8.16429 4.71365i −0.560726 0.323735i
\(213\) 13.2605 0.795918i 0.908592 0.0545354i
\(214\) 4.65933 0.990371i 0.318505 0.0677004i
\(215\) −0.698699 3.53848i −0.0476509 0.241323i
\(216\) 5.14936 + 0.695796i 0.350369 + 0.0473429i
\(217\) −1.08478 + 18.3920i −0.0736395 + 1.24853i
\(218\) 6.95062 0.470755
\(219\) −18.3058 4.75640i −1.23699 0.321408i
\(220\) −2.57125 + 0.232634i −0.173353 + 0.0156842i
\(221\) 11.5022 + 15.8315i 0.773724 + 1.06494i
\(222\) 0.0385521 + 0.0742638i 0.00258745 + 0.00498426i
\(223\) 7.44447 + 12.8942i 0.498519 + 0.863460i 0.999999 0.00170952i \(-0.000544158\pi\)
−0.501480 + 0.865169i \(0.667211\pi\)
\(224\) −1.34591 + 3.02296i −0.0899273 + 0.201980i
\(225\) −6.28957 + 13.6177i −0.419304 + 0.907846i
\(226\) 1.03149 0.459251i 0.0686140 0.0305489i
\(227\) 22.2315 + 4.72546i 1.47556 + 0.313640i 0.874289 0.485406i \(-0.161328\pi\)
0.601270 + 0.799046i \(0.294662\pi\)
\(228\) −6.53410 3.26706i −0.432731 0.216366i
\(229\) 2.30371 + 2.07427i 0.152233 + 0.137072i 0.741728 0.670701i \(-0.234006\pi\)
−0.589495 + 0.807772i \(0.700673\pi\)
\(230\) −12.3207 + 8.68154i −0.812400 + 0.572444i
\(231\) 4.12536 5.17420i 0.271428 0.340437i
\(232\) −1.70589 + 5.25019i −0.111997 + 0.344692i
\(233\) 4.00533 12.3271i 0.262398 0.807577i −0.729884 0.683571i \(-0.760426\pi\)
0.992281 0.124006i \(-0.0395741\pi\)
\(234\) −17.8806 + 6.11136i −1.16889 + 0.399512i
\(235\) −13.2324 18.7791i −0.863184 1.22501i
\(236\) −4.74579 4.27313i −0.308925 0.278157i
\(237\) −8.20943 + 16.4188i −0.533259 + 1.06652i
\(238\) −10.0558 2.13743i −0.651822 0.138549i
\(239\) 12.6574 5.63544i 0.818739 0.364526i 0.0457561 0.998953i \(-0.485430\pi\)
0.772983 + 0.634426i \(0.218764\pi\)
\(240\) −3.74784 + 0.976565i −0.241922 + 0.0630370i
\(241\) −7.69173 + 17.2759i −0.495468 + 1.11284i 0.476809 + 0.879007i \(0.341793\pi\)
−0.972277 + 0.233832i \(0.924873\pi\)
\(242\) −4.83346 8.37179i −0.310706 0.538159i
\(243\) −15.1995 3.46039i −0.975050 0.221984i
\(244\) −3.81353 5.24888i −0.244136 0.336025i
\(245\) 8.79601 0.795822i 0.561957 0.0508432i
\(246\) −0.295824 + 1.13853i −0.0188611 + 0.0725899i
\(247\) 26.5664 1.69038
\(248\) −5.36849 1.47625i −0.340899 0.0937422i
\(249\) 7.30436 + 4.66507i 0.462895 + 0.295637i
\(250\) 0.485859 11.1698i 0.0307284 0.706439i
\(251\) −9.49239 + 2.01767i −0.599154 + 0.127354i −0.497498 0.867465i \(-0.665748\pi\)
−0.101657 + 0.994820i \(0.532414\pi\)
\(252\) 4.83249 8.67150i 0.304418 0.546253i
\(253\) 6.73982 + 3.89124i 0.423729 + 0.244640i
\(254\) 0.158530 + 0.274582i 0.00994704 + 0.0172288i
\(255\) −5.38854 10.7585i −0.337443 0.673722i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −5.52277 + 2.45890i −0.344501 + 0.153382i −0.571692 0.820469i \(-0.693713\pi\)
0.227191 + 0.973850i \(0.427046\pi\)
\(258\) −1.96048 + 1.99047i −0.122054 + 0.123921i
\(259\) 0.158982 0.0167097i 0.00987866 0.00103829i
\(260\) 10.6022 9.27164i 0.657520 0.575003i
\(261\) 6.50559 15.2299i 0.402686 0.942704i
\(262\) −22.3481 2.34888i −1.38067 0.145114i
\(263\) −9.92977 3.22638i −0.612296 0.198947i −0.0135792 0.999908i \(-0.504323\pi\)
−0.598717 + 0.800961i \(0.704323\pi\)
\(264\) 1.27028 + 1.54455i 0.0781805 + 0.0950605i
\(265\) −20.5538 4.68111i −1.26261 0.287558i
\(266\) −10.3718 + 9.33885i −0.635939 + 0.572602i
\(267\) 5.59292 + 20.2568i 0.342281 + 1.23969i
\(268\) −3.97325 + 0.417606i −0.242705 + 0.0255093i
\(269\) −18.0465 3.83589i −1.10031 0.233879i −0.378248 0.925704i \(-0.623473\pi\)
−0.722064 + 0.691826i \(0.756807\pi\)
\(270\) 11.4605 1.91256i 0.697461 0.116395i
\(271\) 7.32147 10.0771i 0.444748 0.612143i −0.526511 0.850168i \(-0.676500\pi\)
0.971259 + 0.238026i \(0.0765002\pi\)
\(272\) 1.26364 2.83819i 0.0766195 0.172090i
\(273\) −1.61568 + 36.0645i −0.0977855 + 2.18272i
\(274\) 8.05425 + 4.65012i 0.486575 + 0.280924i
\(275\) −5.33969 + 2.19427i −0.321995 + 0.132320i
\(276\) 10.9308 + 4.10102i 0.657957 + 0.246853i
\(277\) 2.36029 + 7.26421i 0.141816 + 0.436464i 0.996588 0.0825396i \(-0.0263031\pi\)
−0.854772 + 0.519004i \(0.826303\pi\)
\(278\) 3.68736i 0.221153i
\(279\) 15.6449 + 5.85117i 0.936637 + 0.350300i
\(280\) −0.879975 + 7.34673i −0.0525886 + 0.439051i
\(281\) 22.7634 7.39627i 1.35795 0.441224i 0.462591 0.886572i \(-0.346920\pi\)
0.895358 + 0.445348i \(0.146920\pi\)
\(282\) −6.25076 + 16.6607i −0.372227 + 0.992128i
\(283\) −6.91653 9.51978i −0.411145 0.565892i 0.552352 0.833611i \(-0.313730\pi\)
−0.963497 + 0.267718i \(0.913730\pi\)
\(284\) 6.64216 + 3.83485i 0.394140 + 0.227557i
\(285\) −16.1161 2.66666i −0.954637 0.157959i
\(286\) −6.64373 2.95798i −0.392852 0.174909i
\(287\) 1.81815 + 1.32096i 0.107322 + 0.0779740i
\(288\) 2.25965 + 1.97332i 0.133151 + 0.116279i
\(289\) −7.18735 1.52772i −0.422785 0.0898657i
\(290\) −0.178858 + 12.3426i −0.0105029 + 0.724785i
\(291\) 29.0685 8.02584i 1.70403 0.470483i
\(292\) −7.30676 8.11498i −0.427596 0.474893i
\(293\) 2.66428 25.3489i 0.155649 1.48090i −0.586108 0.810233i \(-0.699341\pi\)
0.741757 0.670668i \(-0.233993\pi\)
\(294\) −4.34553 5.28377i −0.253436 0.308156i
\(295\) −12.9597 5.99650i −0.754541 0.349130i
\(296\) −0.00504970 + 0.0480447i −0.000293508 + 0.00279254i
\(297\) −3.38124 4.95586i −0.196200 0.287568i
\(298\) −4.04723 3.64414i −0.234450 0.211100i
\(299\) −42.2236 + 4.43788i −2.44186 + 0.256649i
\(300\) −7.36232 + 4.56029i −0.425064 + 0.263288i
\(301\) 2.17097 + 4.87607i 0.125133 + 0.281052i
\(302\) 8.76763 12.0676i 0.504520 0.694413i
\(303\) −11.0615 16.7535i −0.635469 0.962464i
\(304\) −2.10887 3.65267i −0.120952 0.209495i
\(305\) −11.6121 8.69649i −0.664905 0.497959i
\(306\) −4.53711 + 8.14146i −0.259369 + 0.465416i
\(307\) −6.25505 29.4277i −0.356994 1.67953i −0.680065 0.733152i \(-0.738049\pi\)
0.323071 0.946375i \(-0.395285\pi\)
\(308\) 3.63360 1.18063i 0.207044 0.0672726i
\(309\) 18.2587 + 11.6613i 1.03870 + 0.663386i
\(310\) −12.4438 + 0.389829i −0.706760 + 0.0221408i
\(311\) 13.9704i 0.792191i −0.918209 0.396095i \(-0.870365\pi\)
0.918209 0.396095i \(-0.129635\pi\)
\(312\) −10.5591 2.74358i −0.597791 0.155324i
\(313\) 11.3543 2.41343i 0.641782 0.136415i 0.124486 0.992221i \(-0.460272\pi\)
0.517296 + 0.855806i \(0.326939\pi\)
\(314\) −6.25449 8.60857i −0.352962 0.485810i
\(315\) 4.60018 21.7158i 0.259191 1.22355i
\(316\) −9.17839 + 5.29915i −0.516325 + 0.298100i
\(317\) −2.48454 1.10619i −0.139546 0.0621298i 0.335776 0.941942i \(-0.391002\pi\)
−0.475322 + 0.879812i \(0.657668\pi\)
\(318\) 5.96717 + 15.1992i 0.334622 + 0.852328i
\(319\) 5.82275 2.59245i 0.326011 0.145150i
\(320\) −2.11639 0.721724i −0.118310 0.0403456i
\(321\) −7.37946 3.68974i −0.411881 0.205941i
\(322\) 14.9246 16.5754i 0.831714 0.923712i
\(323\) 9.73788 8.76802i 0.541830 0.487866i
\(324\) −6.22243 6.50241i −0.345690 0.361245i
\(325\) 16.5305 26.8065i 0.916947 1.48696i
\(326\) 8.25850 + 2.68335i 0.457396 + 0.148617i
\(327\) −9.41316 7.50505i −0.520549 0.415030i
\(328\) −0.504711 + 0.454444i −0.0278680 + 0.0250925i
\(329\) 25.2641 + 22.7479i 1.39286 + 1.25413i
\(330\) 3.73341 + 2.46129i 0.205517 + 0.135490i
\(331\) 5.61810 26.4311i 0.308799 1.45278i −0.500679 0.865633i \(-0.666916\pi\)
0.809478 0.587151i \(-0.199750\pi\)
\(332\) 2.03526 + 4.57128i 0.111700 + 0.250881i
\(333\) 0.0279769 0.142202i 0.00153312 0.00779263i
\(334\) 1.27555 2.86493i 0.0697949 0.156762i
\(335\) −8.21286 + 3.51491i −0.448717 + 0.192040i
\(336\) 5.08685 2.64070i 0.277510 0.144062i
\(337\) −24.9707 + 18.1423i −1.36024 + 0.988273i −0.361811 + 0.932252i \(0.617841\pi\)
−0.998430 + 0.0560210i \(0.982159\pi\)
\(338\) 26.0911 5.54583i 1.41917 0.301653i
\(339\) −1.89283 0.491815i −0.102804 0.0267117i
\(340\) 0.826187 6.89767i 0.0448063 0.374079i
\(341\) 2.88088 + 5.74684i 0.156009 + 0.311209i
\(342\) 5.32141 + 11.4798i 0.287749 + 0.620759i
\(343\) 9.59936 3.11902i 0.518317 0.168411i
\(344\) −1.57776 + 0.335364i −0.0850674 + 0.0180816i
\(345\) 26.0598 + 1.54611i 1.40301 + 0.0832398i
\(346\) −7.99849 + 13.8538i −0.430001 + 0.744784i
\(347\) −27.2650 + 15.7414i −1.46366 + 0.845044i −0.999178 0.0405382i \(-0.987093\pi\)
−0.464482 + 0.885583i \(0.653759\pi\)
\(348\) 7.97925 5.26832i 0.427733 0.282412i
\(349\) −21.2558 15.4432i −1.13779 0.826656i −0.150984 0.988536i \(-0.548244\pi\)
−0.986810 + 0.161880i \(0.948244\pi\)
\(350\) 2.96956 + 16.2765i 0.158730 + 0.870018i
\(351\) 30.8144 + 11.0303i 1.64475 + 0.588756i
\(352\) 0.120688 + 1.14827i 0.00643268 + 0.0612029i
\(353\) −5.59968 5.04198i −0.298041 0.268357i 0.506519 0.862229i \(-0.330932\pi\)
−0.804560 + 0.593871i \(0.797599\pi\)
\(354\) 1.81320 + 10.9114i 0.0963704 + 0.579935i
\(355\) 16.7218 + 3.80838i 0.887501 + 0.202128i
\(356\) −3.74926 + 11.5390i −0.198710 + 0.611567i
\(357\) 11.3106 + 13.7526i 0.598619 + 0.727867i
\(358\) −0.339388 + 3.22906i −0.0179372 + 0.170661i
\(359\) −12.4871 + 11.2435i −0.659045 + 0.593407i −0.929275 0.369389i \(-0.879567\pi\)
0.270230 + 0.962796i \(0.412900\pi\)
\(360\) 6.13013 + 2.72424i 0.323086 + 0.143580i
\(361\) 0.126546 + 1.20400i 0.00666031 + 0.0633686i
\(362\) 2.69134 12.6618i 0.141454 0.665488i
\(363\) −2.49368 + 16.5568i −0.130884 + 0.869009i
\(364\) −12.2511 + 16.8621i −0.642130 + 0.883816i
\(365\) −20.9669 12.5138i −1.09746 0.655002i
\(366\) −0.502932 + 11.2262i −0.0262887 + 0.586805i
\(367\) −18.0575 + 31.2765i −0.942593 + 1.63262i −0.182093 + 0.983281i \(0.558287\pi\)
−0.760500 + 0.649338i \(0.775046\pi\)
\(368\) 3.96193 + 5.45313i 0.206530 + 0.284264i
\(369\) 1.62998 1.22248i 0.0848532 0.0636396i
\(370\) 0.0209259 + 0.105977i 0.00108788 + 0.00550947i
\(371\) 31.1954 1.61958
\(372\) 5.67649 + 7.79599i 0.294312 + 0.404203i
\(373\) 23.4844i 1.21598i −0.793946 0.607989i \(-0.791977\pi\)
0.793946 0.607989i \(-0.208023\pi\)
\(374\) −3.41150 + 1.10846i −0.176405 + 0.0573173i
\(375\) −12.7188 + 14.6025i −0.656793 + 0.754070i
\(376\) −8.31164 + 6.03876i −0.428640 + 0.311425i
\(377\) −17.3857 + 30.1129i −0.895408 + 1.55089i
\(378\) −15.9078 + 6.52577i −0.818209 + 0.335649i
\(379\) 32.4944 + 14.4674i 1.66913 + 0.743143i 1.00000 6.32710e-6i \(-2.01398e-6\pi\)
0.669126 + 0.743149i \(0.266669\pi\)
\(380\) −6.91654 6.41157i −0.354811 0.328907i
\(381\) 0.0817888 0.543039i 0.00419017 0.0278207i
\(382\) −2.56719 + 12.0777i −0.131349 + 0.617948i
\(383\) 18.8515 1.98137i 0.963265 0.101243i 0.390179 0.920739i \(-0.372413\pi\)
0.573085 + 0.819496i \(0.305746\pi\)
\(384\) 0.460973 + 1.66958i 0.0235239 + 0.0852005i
\(385\) 6.98356 4.92085i 0.355915 0.250790i
\(386\) 23.3559 + 2.45481i 1.18879 + 0.124946i
\(387\) 4.80430 0.578811i 0.244216 0.0294226i
\(388\) 16.5585 + 5.38019i 0.840631 + 0.273138i
\(389\) −0.674238 + 6.41495i −0.0341852 + 0.325251i 0.964043 + 0.265747i \(0.0856185\pi\)
−0.998228 + 0.0595038i \(0.981048\pi\)
\(390\) −24.3697 + 1.10861i −1.23401 + 0.0561364i
\(391\) −14.0123 + 15.5623i −0.708633 + 0.787017i
\(392\) −0.412863 3.92813i −0.0208527 0.198400i
\(393\) 27.7295 + 27.3118i 1.39877 + 1.37770i
\(394\) 2.51366 + 5.64576i 0.126636 + 0.284429i
\(395\) −16.1109 + 17.3798i −0.810628 + 0.874473i
\(396\) −0.0525787 3.46338i −0.00264218 0.174041i
\(397\) 28.8260 16.6427i 1.44673 0.835272i 0.448448 0.893809i \(-0.351977\pi\)
0.998285 + 0.0585366i \(0.0186434\pi\)
\(398\) −13.3715 7.72002i −0.670251 0.386970i
\(399\) 24.1303 1.44834i 1.20802 0.0725079i
\(400\) −4.99790 0.144881i −0.249895 0.00724403i
\(401\) −10.5200 32.3773i −0.525345 1.61685i −0.763633 0.645651i \(-0.776586\pi\)
0.238288 0.971195i \(-0.423414\pi\)
\(402\) 5.83186 + 3.72463i 0.290867 + 0.185768i
\(403\) −31.1424 16.1258i −1.55132 0.803282i
\(404\) 11.5908i 0.576663i
\(405\) −17.5859 9.78446i −0.873851 0.486194i
\(406\) −3.79796 17.8680i −0.188489 0.886773i
\(407\) 0.0451251 0.0327853i 0.00223677 0.00162511i
\(408\) −4.77592 + 2.47929i −0.236443 + 0.122743i
\(409\) −7.69209 + 4.44103i −0.380349 + 0.219595i −0.677970 0.735089i \(-0.737140\pi\)
0.297621 + 0.954684i \(0.403807\pi\)
\(410\) −0.778296 + 1.30404i −0.0384373 + 0.0644019i
\(411\) −5.88675 14.9943i −0.290372 0.739616i
\(412\) 5.08754 + 11.4268i 0.250645 + 0.562958i
\(413\) 20.6701 + 4.39356i 1.01711 + 0.216193i
\(414\) −10.3753 17.3567i −0.509920 0.853035i
\(415\) 7.36565 + 8.42268i 0.361566 + 0.413453i
\(416\) −4.21467 4.68087i −0.206641 0.229498i
\(417\) 3.98149 4.99376i 0.194974 0.244545i
\(418\) −1.50484 + 4.63143i −0.0736043 + 0.226531i
\(419\) −13.9622 4.53660i −0.682099 0.221627i −0.0525849 0.998616i \(-0.516746\pi\)
−0.629514 + 0.776989i \(0.716746\pi\)
\(420\) 9.12450 8.99944i 0.445230 0.439128i
\(421\) 17.9956 + 19.9861i 0.877050 + 0.974063i 0.999831 0.0183712i \(-0.00584805\pi\)
−0.122781 + 0.992434i \(0.539181\pi\)
\(422\) −2.34895 + 2.60877i −0.114345 + 0.126993i
\(423\) 26.4550 15.8140i 1.28628 0.768904i
\(424\) −1.96005 + 9.22130i −0.0951883 + 0.447826i
\(425\) −2.78805 15.2817i −0.135240 0.741269i
\(426\) −4.85467 12.3655i −0.235210 0.599110i
\(427\) 19.6129 + 8.73222i 0.949134 + 0.422582i
\(428\) −2.38171 4.12524i −0.115124 0.199401i
\(429\) 5.80361 + 11.1796i 0.280201 + 0.539758i
\(430\) −3.14939 + 1.75795i −0.151877 + 0.0847761i
\(431\) −3.27516 15.4084i −0.157759 0.742198i −0.983898 0.178731i \(-0.942801\pi\)
0.826139 0.563466i \(-0.190533\pi\)
\(432\) −0.929497 5.11234i −0.0447205 0.245968i
\(433\) −15.2909 −0.734836 −0.367418 0.930056i \(-0.619758\pi\)
−0.367418 + 0.930056i \(0.619758\pi\)
\(434\) 17.8271 4.65176i 0.855726 0.223291i
\(435\) 13.5694 16.5224i 0.650603 0.792189i
\(436\) −2.14786 6.61043i −0.102864 0.316582i
\(437\) 5.91082 + 27.8082i 0.282753 + 1.33025i
\(438\) 1.13319 + 18.8796i 0.0541460 + 0.902104i
\(439\) 0.0237595 0.0411526i 0.00113398 0.00196411i −0.865458 0.500982i \(-0.832972\pi\)
0.866592 + 0.499018i \(0.166306\pi\)
\(440\) 1.01581 + 2.37351i 0.0484267 + 0.113153i
\(441\) 0.179867 + 11.8479i 0.00856510 + 0.564187i
\(442\) 11.5022 15.8315i 0.547105 0.753026i
\(443\) 22.1522 9.86281i 1.05248 0.468596i 0.193768 0.981047i \(-0.437929\pi\)
0.858716 + 0.512451i \(0.171263\pi\)
\(444\) 0.0587159 0.0596140i 0.00278653 0.00282916i
\(445\) −0.393100 + 27.1270i −0.0186347 + 1.28594i
\(446\) 9.96265 11.0646i 0.471745 0.523926i
\(447\) 1.54630 + 9.30530i 0.0731376 + 0.440125i
\(448\) 3.29092 + 0.345889i 0.155481 + 0.0163417i
\(449\) 5.55304 17.0905i 0.262064 0.806550i −0.730291 0.683136i \(-0.760616\pi\)
0.992355 0.123414i \(-0.0393844\pi\)
\(450\) 14.8948 + 1.77364i 0.702146 + 0.0836101i
\(451\) 0.779853 + 0.0819659i 0.0367218 + 0.00385962i
\(452\) −0.755523 0.839094i −0.0355368 0.0394676i
\(453\) −24.9041 + 6.87605i −1.17010 + 0.323065i
\(454\) −2.37574 22.6037i −0.111499 1.06084i
\(455\) −15.0427 + 44.1114i −0.705214 + 2.06798i
\(456\) −1.08801 + 7.22387i −0.0509507 + 0.338289i
\(457\) 28.2046 + 20.4919i 1.31936 + 0.958569i 0.999940 + 0.0109544i \(0.00348695\pi\)
0.319417 + 0.947614i \(0.396513\pi\)
\(458\) 1.26086 2.83194i 0.0589162 0.132328i
\(459\) 14.9354 6.12689i 0.697127 0.285979i
\(460\) 12.0639 + 9.03490i 0.562484 + 0.421255i
\(461\) −13.4885 + 9.79998i −0.628223 + 0.456431i −0.855784 0.517333i \(-0.826925\pi\)
0.227561 + 0.973764i \(0.426925\pi\)
\(462\) −6.19576 2.32453i −0.288253 0.108147i
\(463\) 2.14520 + 6.60225i 0.0996960 + 0.306833i 0.988449 0.151554i \(-0.0484276\pi\)
−0.888753 + 0.458386i \(0.848428\pi\)
\(464\) 5.52038 0.256277
\(465\) 17.2734 + 12.9085i 0.801037 + 0.598615i
\(466\) −12.9615 −0.600430
\(467\) 10.5356 + 32.4252i 0.487529 + 1.50046i 0.828285 + 0.560307i \(0.189317\pi\)
−0.340756 + 0.940152i \(0.610683\pi\)
\(468\) 11.3377 + 15.1170i 0.524084 + 0.698782i
\(469\) 10.6953 7.77057i 0.493862 0.358812i
\(470\) −13.7709 + 18.3878i −0.635206 + 0.848165i
\(471\) −0.824849 + 18.4119i −0.0380070 + 0.848376i
\(472\) −2.59746 + 5.83399i −0.119558 + 0.268531i
\(473\) 1.50669 + 1.09468i 0.0692778 + 0.0503332i
\(474\) 18.1521 + 2.73394i 0.833752 + 0.125574i
\(475\) −19.0089 9.13219i −0.872187 0.419014i
\(476\) 1.07460 + 10.2242i 0.0492543 + 0.468623i
\(477\) 8.33029 27.0273i 0.381418 1.23749i
\(478\) −9.27097 10.2965i −0.424044 0.470949i
\(479\) 7.84789 + 0.824846i 0.358579 + 0.0376882i 0.282105 0.959383i \(-0.408967\pi\)
0.0764738 + 0.997072i \(0.475634\pi\)
\(480\) 2.08692 + 3.26263i 0.0952542 + 0.148918i
\(481\) −0.0940300 + 0.289395i −0.00428740 + 0.0131953i
\(482\) 18.8072 + 1.97672i 0.856646 + 0.0900371i
\(483\) −38.1098 + 6.33287i −1.73406 + 0.288156i
\(484\) −6.46843 + 7.18392i −0.294019 + 0.326542i
\(485\) 38.9273 + 0.564100i 1.76760 + 0.0256144i
\(486\) 1.40588 + 15.5249i 0.0637722 + 0.704225i
\(487\) −6.01462 + 2.67788i −0.272548 + 0.121346i −0.538460 0.842651i \(-0.680994\pi\)
0.265912 + 0.963997i \(0.414327\pi\)
\(488\) −3.81353 + 5.24888i −0.172631 + 0.237606i
\(489\) −8.28702 12.5513i −0.374752 0.567589i
\(490\) −3.47499 8.11958i −0.156984 0.366805i
\(491\) 14.6876 25.4396i 0.662840 1.14807i −0.317026 0.948417i \(-0.602684\pi\)
0.979866 0.199656i \(-0.0639823\pi\)
\(492\) 1.17422 0.0704788i 0.0529379 0.00317743i
\(493\) 3.56581 + 16.7758i 0.160596 + 0.755545i
\(494\) −8.20947 25.2662i −0.369362 1.13678i
\(495\) −2.39850 7.36451i −0.107804 0.331010i
\(496\) 0.254954 + 5.56192i 0.0114478 + 0.249738i
\(497\) −25.3794 −1.13842
\(498\) 2.17958 8.38845i 0.0976691 0.375895i
\(499\) −3.33657 15.6973i −0.149365 0.702708i −0.987548 0.157319i \(-0.949715\pi\)
0.838183 0.545390i \(-0.183618\pi\)
\(500\) −10.7732 + 2.98957i −0.481793 + 0.133698i
\(501\) −4.82092 + 2.50265i −0.215383 + 0.111810i
\(502\) 4.85223 + 8.40431i 0.216566 + 0.375103i
\(503\) 24.9632 + 11.1143i 1.11305 + 0.495563i 0.879077 0.476680i \(-0.158160\pi\)
0.233975 + 0.972243i \(0.424827\pi\)
\(504\) −9.74041 1.91633i −0.433872 0.0853602i
\(505\) −7.65103 24.7627i −0.340466 1.10193i
\(506\) 1.61807 7.61240i 0.0719318 0.338413i
\(507\) −41.3231 20.6616i −1.83522 0.917614i
\(508\) 0.212154 0.235621i 0.00941282 0.0104540i
\(509\) 3.92159 + 4.35537i 0.173821 + 0.193048i 0.823760 0.566938i \(-0.191872\pi\)
−0.649939 + 0.759986i \(0.725206\pi\)
\(510\) −8.56677 + 8.44936i −0.379343 + 0.374144i
\(511\) 34.3655 + 11.1660i 1.52024 + 0.493956i
\(512\) −0.309017 + 0.951057i −0.0136568 + 0.0420312i
\(513\) 5.18883 21.2929i 0.229092 0.940106i
\(514\) 4.04518 + 4.49263i 0.178425 + 0.198161i
\(515\) 18.4119 + 21.0541i 0.811325 + 0.927756i
\(516\) 2.49887 + 1.24944i 0.110006 + 0.0550034i
\(517\) 11.6028 + 2.46625i 0.510290 + 0.108465i
\(518\) −0.0650200 0.146037i −0.00285681 0.00641651i
\(519\) 25.7911 10.1256i 1.13211 0.444462i
\(520\) −12.0941 7.21819i −0.530362 0.316538i
\(521\) −6.32997 + 3.65461i −0.277321 + 0.160111i −0.632210 0.774797i \(-0.717852\pi\)
0.354889 + 0.934908i \(0.384519\pi\)
\(522\) −16.4948 1.48090i −0.721957 0.0648171i
\(523\) −1.13017 + 0.821119i −0.0494191 + 0.0359050i −0.612221 0.790687i \(-0.709724\pi\)
0.562802 + 0.826592i \(0.309724\pi\)
\(524\) 4.67202 + 21.9801i 0.204098 + 0.960206i
\(525\) 13.5532 25.2496i 0.591511 1.10198i
\(526\) 10.4408i 0.455240i
\(527\) −16.7374 + 4.36742i −0.729092 + 0.190248i
\(528\) 1.07642 1.68540i 0.0468450 0.0733478i
\(529\) −6.93236 21.3356i −0.301407 0.927635i
\(530\) 1.89947 + 20.9943i 0.0825077 + 0.911936i
\(531\) 9.32619 16.7351i 0.404722 0.726240i
\(532\) 12.0869 + 6.97835i 0.524032 + 0.302550i
\(533\) −3.70470 + 2.13891i −0.160468 + 0.0926464i
\(534\) 17.5370 11.5789i 0.758902 0.501067i
\(535\) −7.81138 7.24108i −0.337716 0.313059i
\(536\) 1.62497 + 3.64974i 0.0701880 + 0.157645i
\(537\) 3.94626 4.00662i 0.170294 0.172899i
\(538\) 1.92851 + 18.3486i 0.0831440 + 0.791062i
\(539\) −3.05148 + 3.38902i −0.131437 + 0.145975i
\(540\) −5.36043 10.3085i −0.230676 0.443608i
\(541\) −0.509607 + 4.84859i −0.0219097 + 0.208457i 0.978090 + 0.208181i \(0.0667544\pi\)
−1.00000 0.000275682i \(0.999912\pi\)
\(542\) −11.8464 3.84913i −0.508846 0.165334i
\(543\) −17.3166 + 14.2417i −0.743127 + 0.611169i
\(544\) −3.08976 0.324747i −0.132472 0.0139234i
\(545\) −8.95224 12.7048i −0.383472 0.544215i
\(546\) 34.7987 9.60795i 1.48925 0.411182i
\(547\) −5.80365 + 0.609988i −0.248146 + 0.0260812i −0.227785 0.973711i \(-0.573148\pi\)
−0.0203612 + 0.999793i \(0.506482\pi\)
\(548\) 1.93363 9.09701i 0.0826006 0.388605i
\(549\) 12.8028 14.6605i 0.546412 0.625697i
\(550\) 3.73693 + 4.40028i 0.159343 + 0.187629i
\(551\) 21.2706 + 9.47027i 0.906157 + 0.403447i
\(552\) 0.522504 11.6631i 0.0222392 0.496414i
\(553\) 17.5351 30.3717i 0.745669 1.29154i
\(554\) 6.17931 4.48953i 0.262534 0.190742i
\(555\) 0.0860905 0.166118i 0.00365434 0.00705134i
\(556\) 3.50689 1.13946i 0.148725 0.0483237i
\(557\) 12.2616i 0.519540i −0.965671 0.259770i \(-0.916353\pi\)
0.965671 0.259770i \(-0.0836467\pi\)
\(558\) 0.730245 16.6873i 0.0309137 0.706431i
\(559\) −10.1599 −0.429719
\(560\) 7.25908 1.43336i 0.306752 0.0605705i
\(561\) 5.81705 + 2.18245i 0.245596 + 0.0921429i
\(562\) −14.0685 19.3637i −0.593445 0.816807i
\(563\) 1.76916 3.06428i 0.0745614 0.129144i −0.826334 0.563180i \(-0.809578\pi\)
0.900895 + 0.434036i \(0.142911\pi\)
\(564\) 17.7768 + 0.796397i 0.748539 + 0.0335344i
\(565\) −2.16799 1.29393i −0.0912082 0.0544362i
\(566\) −6.91653 + 9.51978i −0.290723 + 0.400146i
\(567\) 28.5901 + 8.33893i 1.20067 + 0.350202i
\(568\) 1.59462 7.50211i 0.0669089 0.314781i
\(569\) −4.65163 44.2573i −0.195006 1.85536i −0.455948 0.890006i \(-0.650700\pi\)
0.260942 0.965355i \(-0.415967\pi\)
\(570\) 2.44401 + 16.1514i 0.102368 + 0.676507i
\(571\) 8.90729 8.02016i 0.372758 0.335633i −0.461366 0.887210i \(-0.652640\pi\)
0.834124 + 0.551577i \(0.185974\pi\)
\(572\) −0.760180 + 7.23263i −0.0317847 + 0.302411i
\(573\) 16.5178 13.5847i 0.690041 0.567510i
\(574\) 0.694471 2.13736i 0.0289867 0.0892118i
\(575\) 31.7375 + 11.3389i 1.32354 + 0.472867i
\(576\) 1.17847 2.75884i 0.0491028 0.114952i
\(577\) 32.6424 + 29.3914i 1.35892 + 1.22358i 0.950476 + 0.310797i \(0.100596\pi\)
0.408447 + 0.912782i \(0.366071\pi\)
\(578\) 0.768066 + 7.30766i 0.0319473 + 0.303959i
\(579\) −28.9801 28.5435i −1.20437 1.18623i
\(580\) 11.7938 3.64398i 0.489712 0.151308i
\(581\) −13.3958 9.73259i −0.555750 0.403776i
\(582\) −16.6157 25.1657i −0.688743 1.04315i
\(583\) 9.42643 5.44235i 0.390403 0.225399i
\(584\) −5.45989 + 9.45680i −0.225932 + 0.391325i
\(585\) 34.2006 + 24.8122i 1.41402 + 1.02586i
\(586\) −24.9316 + 5.29937i −1.02991 + 0.218915i
\(587\) 15.3261 4.97976i 0.632577 0.205537i 0.0248606 0.999691i \(-0.492086\pi\)
0.607716 + 0.794154i \(0.292086\pi\)
\(588\) −3.68232 + 5.76562i −0.151857 + 0.237770i
\(589\) −8.55918 + 21.8680i −0.352675 + 0.901056i
\(590\) −1.69826 + 14.1784i −0.0699161 + 0.583715i
\(591\) 2.69189 10.3602i 0.110729 0.426160i
\(592\) 0.0472537 0.0100441i 0.00194211 0.000412809i
\(593\) −21.0365 + 15.2839i −0.863865 + 0.627634i −0.928934 0.370246i \(-0.879273\pi\)
0.0650690 + 0.997881i \(0.479273\pi\)
\(594\) −3.66844 + 4.74720i −0.150518 + 0.194780i
\(595\) 9.04472 + 21.1337i 0.370797 + 0.866397i
\(596\) −2.21512 + 4.97525i −0.0907350 + 0.203794i
\(597\) 9.77304 + 24.8932i 0.399984 + 1.01881i
\(598\) 17.2685 + 38.7857i 0.706161 + 1.58606i
\(599\) 3.61424 17.0037i 0.147674 0.694752i −0.840550 0.541735i \(-0.817768\pi\)
0.988224 0.153017i \(-0.0488989\pi\)
\(600\) 6.61217 + 5.59278i 0.269941 + 0.228324i
\(601\) −16.7950 15.1223i −0.685081 0.616850i 0.251269 0.967917i \(-0.419152\pi\)
−0.936350 + 0.351068i \(0.885819\pi\)
\(602\) 3.96656 3.57150i 0.161665 0.145564i
\(603\) −3.87630 11.3413i −0.157855 0.461853i
\(604\) −14.1863 4.60942i −0.577233 0.187555i
\(605\) −9.07717 + 19.6176i −0.369040 + 0.797570i
\(606\) −12.5153 + 15.6973i −0.508401 + 0.637658i
\(607\) −29.9700 + 26.9851i −1.21644 + 1.09529i −0.223749 + 0.974647i \(0.571830\pi\)
−0.992696 + 0.120645i \(0.961504\pi\)
\(608\) −2.82222 + 3.13439i −0.114456 + 0.127116i
\(609\) −14.1497 + 28.2994i −0.573376 + 1.14675i
\(610\) −4.68253 + 13.7311i −0.189590 + 0.555956i
\(611\) −59.1169 + 26.3205i −2.39161 + 1.06482i
\(612\) 9.14503 + 1.79920i 0.369666 + 0.0727282i
\(613\) −7.92029 3.52634i −0.319897 0.142428i 0.240505 0.970648i \(-0.422687\pi\)
−0.560403 + 0.828220i \(0.689354\pi\)
\(614\) −26.0545 + 15.0426i −1.05147 + 0.607068i
\(615\) 2.46210 0.925670i 0.0992814 0.0373266i
\(616\) −2.24569 3.09093i −0.0904815 0.124537i
\(617\) 18.0107 3.82830i 0.725084 0.154121i 0.169439 0.985541i \(-0.445805\pi\)
0.555645 + 0.831419i \(0.312471\pi\)
\(618\) 5.44827 20.9686i 0.219162 0.843480i
\(619\) 1.43990i 0.0578746i −0.999581 0.0289373i \(-0.990788\pi\)
0.999581 0.0289373i \(-0.00921232\pi\)
\(620\) 4.21609 + 11.7143i 0.169322 + 0.470457i
\(621\) −4.68997 + 34.7089i −0.188202 + 1.39282i
\(622\) −13.2867 + 4.31710i −0.532747 + 0.173100i
\(623\) −8.34726 39.2708i −0.334426 1.57335i
\(624\) 0.653645 + 10.8901i 0.0261667 + 0.435953i
\(625\) −21.0427 + 13.4983i −0.841708 + 0.539934i
\(626\) −5.80397 10.0528i −0.231973 0.401790i
\(627\) 7.03887 4.64743i 0.281105 0.185600i
\(628\) −6.25449 + 8.60857i −0.249582 + 0.343519i
\(629\) 0.0610457 + 0.137111i 0.00243405 + 0.00546697i
\(630\) −22.0745 + 2.33553i −0.879470 + 0.0930497i
\(631\) −3.88089 + 0.407898i −0.154496 + 0.0162382i −0.181461 0.983398i \(-0.558082\pi\)
0.0269647 + 0.999636i \(0.491416\pi\)
\(632\) 7.87607 + 7.09164i 0.313293 + 0.282090i
\(633\) 5.99802 0.996718i 0.238400 0.0396160i
\(634\) −0.284283 + 2.70477i −0.0112903 + 0.107420i
\(635\) 0.297717 0.643427i 0.0118145 0.0255336i
\(636\) 12.6113 10.3719i 0.500072 0.411274i
\(637\) 2.60051 24.7422i 0.103036 0.980321i
\(638\) −4.26490 4.73665i −0.168849 0.187526i
\(639\) −6.77722 + 21.9884i −0.268103 + 0.869847i
\(640\) −0.0323997 + 2.23583i −0.00128071 + 0.0883791i
\(641\) 3.67126 + 0.780350i 0.145006 + 0.0308220i 0.279843 0.960046i \(-0.409718\pi\)
−0.134837 + 0.990868i \(0.543051\pi\)
\(642\) −1.22877 + 8.15847i −0.0484958 + 0.321989i
\(643\) −33.1490 24.0842i −1.30727 0.949787i −0.307271 0.951622i \(-0.599416\pi\)
−0.999998 + 0.00183542i \(0.999416\pi\)
\(644\) −20.3761 9.07202i −0.802931 0.357488i
\(645\) 6.16337 + 1.01982i 0.242682 + 0.0401555i
\(646\) −11.3481 6.55180i −0.446483 0.257777i
\(647\) −16.2713 22.3955i −0.639690 0.880457i 0.358909 0.933372i \(-0.383149\pi\)
−0.998599 + 0.0529151i \(0.983149\pi\)
\(648\) −4.26133 + 7.92724i −0.167401 + 0.311411i
\(649\) 7.01246 2.27849i 0.275263 0.0894385i
\(650\) −30.6028 7.43777i −1.20034 0.291733i
\(651\) −29.1658 12.9492i −1.14310 0.507520i
\(652\) 8.68350i 0.340072i
\(653\) 10.7758 + 33.1645i 0.421690 + 1.29783i 0.906129 + 0.423002i \(0.139024\pi\)
−0.484439 + 0.874825i \(0.660976\pi\)
\(654\) −4.22890 + 11.2716i −0.165363 + 0.440756i
\(655\) 24.4904 + 43.8747i 0.956918 + 1.71433i
\(656\) 0.588166 + 0.339578i 0.0229640 + 0.0132583i
\(657\) 18.8509 26.7921i 0.735445 1.04526i
\(658\) 13.8275 31.0571i 0.539053 1.21073i
\(659\) −14.6831 + 20.2096i −0.571973 + 0.787254i −0.992787 0.119894i \(-0.961745\pi\)
0.420813 + 0.907147i \(0.361745\pi\)
\(660\) 1.18714 4.31126i 0.0462094 0.167816i
\(661\) −39.0378 8.29775i −1.51840 0.322745i −0.628102 0.778131i \(-0.716168\pi\)
−0.890294 + 0.455386i \(0.849501\pi\)
\(662\) −26.8735 + 2.82452i −1.04447 + 0.109778i
\(663\) −32.6716 + 9.02067i −1.26886 + 0.350334i
\(664\) 3.71861 3.34825i 0.144310 0.129937i
\(665\) 30.4289 + 6.93016i 1.17998 + 0.268740i
\(666\) −0.143888 + 0.0173353i −0.00557553 + 0.000671728i
\(667\) −35.3886 11.4985i −1.37025 0.445222i
\(668\) −3.11887 0.327807i −0.120673 0.0126832i
\(669\) −25.4396 + 4.22740i −0.983550 + 0.163441i
\(670\) 5.88079 + 6.72473i 0.227195 + 0.259799i
\(671\) 7.44993 0.783019i 0.287601 0.0302281i
\(672\) −4.08338 4.02186i −0.157520 0.155146i
\(673\) 24.5130 10.9139i 0.944908 0.420700i 0.124334 0.992240i \(-0.460321\pi\)
0.820574 + 0.571540i \(0.193654\pi\)
\(674\) 24.9707 + 18.1423i 0.961835 + 0.698814i
\(675\) −18.2567 18.4849i −0.702702 0.711484i
\(676\) −13.3370 23.1003i −0.512961 0.888474i
\(677\) 17.0575 + 9.84817i 0.655574 + 0.378496i 0.790589 0.612348i \(-0.209775\pi\)
−0.135014 + 0.990844i \(0.543108\pi\)
\(678\) 0.117173 + 1.95217i 0.00449999 + 0.0749725i
\(679\) −56.3536 + 11.9783i −2.16265 + 0.459686i
\(680\) −6.81538 + 1.34575i −0.261358 + 0.0516070i
\(681\) −21.1893 + 33.1772i −0.811975 + 1.27135i
\(682\) 4.57533 4.51575i 0.175198 0.172917i
\(683\) −42.7712 −1.63659 −0.818297 0.574796i \(-0.805081\pi\)
−0.818297 + 0.574796i \(0.805081\pi\)
\(684\) 9.27358 8.60843i 0.354584 0.329151i
\(685\) −1.87387 20.7114i −0.0715969 0.791341i
\(686\) −5.93273 8.16570i −0.226513 0.311768i
\(687\) −4.76541 + 2.47384i −0.181812 + 0.0943827i
\(688\) 0.806506 + 1.39691i 0.0307478 + 0.0532567i
\(689\) −24.1520 + 54.2464i −0.920119 + 2.06662i
\(690\) −6.58248 25.2621i −0.250591 0.961712i
\(691\) 28.5153 12.6958i 1.08477 0.482972i 0.215096 0.976593i \(-0.430993\pi\)
0.869677 + 0.493621i \(0.164327\pi\)
\(692\) 15.6474 + 3.32596i 0.594825 + 0.126434i
\(693\) 5.88091 + 9.83807i 0.223397 + 0.373717i
\(694\) 23.3963 + 21.0661i 0.888113 + 0.799660i
\(695\) 6.74002 4.74924i 0.255663 0.180149i
\(696\) −7.47620 5.96072i −0.283384 0.225941i
\(697\) −0.652022 + 2.00672i −0.0246971 + 0.0760099i
\(698\) −8.11898 + 24.9876i −0.307308 + 0.945796i
\(699\) 17.5537 + 13.9954i 0.663940 + 0.529355i
\(700\) 14.5623 7.85395i 0.550402 0.296851i
\(701\) 2.74845 + 2.47472i 0.103808 + 0.0934689i 0.719400 0.694596i \(-0.244417\pi\)
−0.615593 + 0.788064i \(0.711083\pi\)
\(702\) 0.968302 32.7148i 0.0365462 1.23474i
\(703\) 0.199304 + 0.0423634i 0.00751689 + 0.00159776i
\(704\) 1.05477 0.469615i 0.0397533 0.0176993i
\(705\) 38.5044 10.0330i 1.45016 0.377864i
\(706\) −3.06481 + 6.88367i −0.115346 + 0.259070i
\(707\) 19.1772 + 33.2159i 0.721232 + 1.24921i
\(708\) 9.81706 5.09627i 0.368948 0.191529i
\(709\) −5.32291 7.32636i −0.199906 0.275147i 0.697281 0.716798i \(-0.254393\pi\)
−0.897187 + 0.441651i \(0.854393\pi\)
\(710\) −1.54534 17.0802i −0.0579955 0.641009i
\(711\) −21.6311 23.3025i −0.811231 0.873914i
\(712\) 12.1328 0.454698
\(713\) 9.95061 36.1860i 0.372653 1.35518i
\(714\) 9.58438 15.0068i 0.358686 0.561615i
\(715\) 3.15017 + 15.9537i 0.117810 + 0.596634i
\(716\) 3.17589 0.675057i 0.118689 0.0252281i
\(717\) 1.43782 + 23.9549i 0.0536963 + 0.894612i
\(718\) 14.5519 + 8.40154i 0.543072 + 0.313543i
\(719\) 13.8905 + 24.0590i 0.518028 + 0.897251i 0.999781 + 0.0209434i \(0.00666699\pi\)
−0.481753 + 0.876307i \(0.660000\pi\)
\(720\) 0.696594 6.67194i 0.0259605 0.248648i
\(721\) −33.4853 24.3285i −1.24706 0.906041i
\(722\) 1.10597 0.492410i 0.0411600 0.0183256i
\(723\) −23.3361 22.9845i −0.867877 0.854802i
\(724\) −12.8737 + 1.35308i −0.478448 + 0.0502869i
\(725\) 22.7911 15.5701i 0.846441 0.578260i
\(726\) 16.5171 2.74472i 0.613007 0.101866i
\(727\) −15.7923 1.65984i −0.585704 0.0615599i −0.192958 0.981207i \(-0.561808\pi\)
−0.392746 + 0.919647i \(0.628475\pi\)
\(728\) 19.8226 + 6.44076i 0.734676 + 0.238711i
\(729\) 14.8593 22.5433i 0.550346 0.834937i
\(730\) −5.42219 + 23.8077i −0.200684 + 0.881163i
\(731\) −3.72410 + 3.35320i −0.137741 + 0.124023i
\(732\) 10.8322 2.99078i 0.400370 0.110542i
\(733\) 4.78548 0.502975i 0.176756 0.0185778i −0.0157370 0.999876i \(-0.505009\pi\)
0.192493 + 0.981298i \(0.438343\pi\)
\(734\) 35.3258 + 7.50872i 1.30390 + 0.277152i
\(735\) −4.06111 + 14.7485i −0.149796 + 0.544005i
\(736\) 3.96193 5.45313i 0.146039 0.201005i
\(737\) 1.87618 4.21397i 0.0691100 0.155223i
\(738\) −1.66634 1.17243i −0.0613386 0.0431579i
\(739\) 12.6219 + 7.28726i 0.464304 + 0.268066i 0.713852 0.700296i \(-0.246949\pi\)
−0.249548 + 0.968362i \(0.580282\pi\)
\(740\) 0.0943234 0.0526503i 0.00346740 0.00193546i
\(741\) −16.1636 + 43.0820i −0.593783 + 1.58266i
\(742\) −9.63990 29.6686i −0.353892 1.08917i
\(743\) 36.6545i 1.34472i −0.740223 0.672362i \(-0.765280\pi\)
0.740223 0.672362i \(-0.234720\pi\)
\(744\) 5.66030 7.80775i 0.207517 0.286246i
\(745\) −1.44828 + 12.0914i −0.0530609 + 0.442994i
\(746\) −22.3350 + 7.25709i −0.817743 + 0.265701i
\(747\) −12.0093 + 9.00697i −0.439399 + 0.329548i
\(748\) 2.10843 + 2.90200i 0.0770917 + 0.106108i
\(749\) 13.6506 + 7.88118i 0.498782 + 0.287972i
\(750\) 17.8181 + 7.58383i 0.650626 + 0.276922i
\(751\) −40.5867 18.0704i −1.48103 0.659397i −0.502328 0.864677i \(-0.667523\pi\)
−0.978703 + 0.205280i \(0.934190\pi\)
\(752\) 8.31164 + 6.03876i 0.303094 + 0.220211i
\(753\) 2.50336 16.6212i 0.0912277 0.605708i
\(754\) 34.0115 + 7.22937i 1.23863 + 0.263278i
\(755\) −33.3506 0.483286i −1.21375 0.0175886i
\(756\) 11.1222 + 13.1126i 0.404509 + 0.476902i
\(757\) −32.2245 35.7889i −1.17122 1.30077i −0.945141 0.326662i \(-0.894076\pi\)
−0.226078 0.974109i \(-0.572591\pi\)
\(758\) 3.71803 35.3747i 0.135045 1.28487i
\(759\) −10.4110 + 8.56227i −0.377894 + 0.310791i
\(760\) −3.96044 + 8.55931i −0.143660 + 0.310479i
\(761\) −4.33291 + 41.2249i −0.157068 + 1.49440i 0.577793 + 0.816184i \(0.303914\pi\)
−0.734861 + 0.678218i \(0.762752\pi\)
\(762\) −0.541735 + 0.0900224i −0.0196250 + 0.00326117i
\(763\) 17.0922 + 15.3899i 0.618781 + 0.557153i
\(764\) 12.2799 1.29066i 0.444270 0.0466946i
\(765\) 20.7252 2.19277i 0.749323 0.0792798i
\(766\) −7.70981 17.3165i −0.278567 0.625672i
\(767\) −23.6432 + 32.5421i −0.853707 + 1.17503i
\(768\) 1.44542 0.954341i 0.0521570 0.0344368i
\(769\) −4.26448 7.38630i −0.153781 0.266357i 0.778833 0.627231i \(-0.215812\pi\)
−0.932615 + 0.360874i \(0.882478\pi\)
\(770\) −6.83804 5.12114i −0.246426 0.184553i
\(771\) −0.627359 10.4522i −0.0225938 0.376426i
\(772\) −4.88272 22.9714i −0.175733 0.826758i
\(773\) 34.9241 11.3475i 1.25613 0.408142i 0.396017 0.918243i \(-0.370392\pi\)
0.860114 + 0.510102i \(0.170392\pi\)
\(774\) −2.03509 4.39030i −0.0731498 0.157806i
\(775\) 16.7399 + 22.2436i 0.601315 + 0.799012i
\(776\) 17.4107i 0.625006i
\(777\) −0.0696303 + 0.267983i −0.00249797 + 0.00961385i
\(778\) 6.30933 1.34109i 0.226200 0.0480804i
\(779\) 1.68371 + 2.31743i 0.0603253 + 0.0830307i
\(780\) 8.58498 + 22.8343i 0.307392 + 0.817601i
\(781\) −7.66900 + 4.42770i −0.274418 + 0.158435i
\(782\) 19.1306 + 8.51750i 0.684110 + 0.304585i
\(783\) 20.7397 + 19.8161i 0.741177 + 0.708169i
\(784\) −3.60829 + 1.60651i −0.128867 + 0.0573755i
\(785\) −7.67971 + 22.5201i −0.274101 + 0.803776i
\(786\) 17.4061 34.8122i 0.620856 1.24171i
\(787\) −13.1787 + 14.6365i −0.469772 + 0.521734i −0.930740 0.365683i \(-0.880836\pi\)
0.460968 + 0.887417i \(0.347502\pi\)
\(788\) 4.59268 4.13527i 0.163607 0.147313i
\(789\) 11.2736 14.1399i 0.401351 0.503392i
\(790\) 21.5077 + 9.95174i 0.765211 + 0.354067i
\(791\) 3.55341 + 1.15457i 0.126345 + 0.0410519i
\(792\) −3.27762 + 1.12025i −0.116465 + 0.0398063i
\(793\) −30.3693 + 27.3447i −1.07845 + 0.971037i
\(794\) −24.7358 22.2723i −0.877842 0.790413i
\(795\) 20.0966 30.4834i 0.712752 1.08114i
\(796\) −3.21017 + 15.1026i −0.113781 + 0.535299i
\(797\) −13.4552 30.2209i −0.476607 1.07048i −0.978631 0.205624i \(-0.934078\pi\)
0.502024 0.864854i \(-0.332589\pi\)
\(798\) −8.83412 22.5017i −0.312725 0.796551i
\(799\) −12.9823 + 29.1588i −0.459282 + 1.03156i
\(800\) 1.40665 + 4.79806i 0.0497325 + 0.169637i
\(801\) −36.2527 3.25476i −1.28093 0.115001i
\(802\) −27.5418 + 20.0103i −0.972534 + 0.706587i
\(803\) 12.3324 2.62133i 0.435200 0.0925047i
\(804\) 1.74019 6.69740i 0.0613717 0.236199i
\(805\) −49.5202 5.93142i −1.74536 0.209055i
\(806\) −5.71299 + 34.6014i −0.201231 + 1.21878i
\(807\) 17.2004 26.9316i 0.605483 0.948038i
\(808\) −11.0235 + 3.58175i −0.387805 + 0.126005i
\(809\) 15.5358 3.30224i 0.546210 0.116101i 0.0734618 0.997298i \(-0.476595\pi\)
0.472748 + 0.881197i \(0.343262\pi\)
\(810\) −3.87123 + 19.7488i −0.136021 + 0.693901i
\(811\) 6.31085 10.9307i 0.221604 0.383829i −0.733691 0.679483i \(-0.762204\pi\)
0.955295 + 0.295654i \(0.0955375\pi\)
\(812\) −15.8198 + 9.13358i −0.555167 + 0.320526i
\(813\) 11.8873 + 18.0042i 0.416906 + 0.631434i
\(814\) −0.0451251 0.0327853i −0.00158163 0.00114912i
\(815\) −5.73195 18.5516i −0.200781 0.649833i
\(816\) 3.83378 + 3.77602i 0.134209 + 0.132187i
\(817\) 0.711136 + 6.76601i 0.0248795 + 0.236713i
\(818\) 6.60066 + 5.94326i 0.230787 + 0.207801i
\(819\) −57.5019 24.5625i −2.00928 0.858284i
\(820\) 1.48072 + 0.337233i 0.0517091 + 0.0117767i
\(821\) −0.107746 + 0.331609i −0.00376037 + 0.0115732i −0.952919 0.303225i \(-0.901937\pi\)
0.949159 + 0.314798i \(0.101937\pi\)
\(822\) −12.4414 + 10.2321i −0.433942 + 0.356887i
\(823\) 3.33136 31.6957i 0.116124 1.10484i −0.768923 0.639342i \(-0.779207\pi\)
0.885047 0.465503i \(-0.154126\pi\)
\(824\) 9.29540 8.36961i 0.323821 0.291569i
\(825\) −0.309620 9.99428i −0.0107796 0.347956i
\(826\) −2.20888 21.0161i −0.0768568 0.731244i
\(827\) 7.49689 35.2701i 0.260692 1.22646i −0.631705 0.775209i \(-0.717644\pi\)
0.892397 0.451251i \(-0.149022\pi\)
\(828\) −13.3010 + 15.2310i −0.462243 + 0.529315i
\(829\) 0.122303 0.168335i 0.00424774 0.00584652i −0.806888 0.590705i \(-0.798850\pi\)
0.811136 + 0.584858i \(0.198850\pi\)
\(830\) 5.73433 9.60790i 0.199042 0.333495i
\(831\) −13.2162 0.592083i −0.458466 0.0205391i
\(832\) −3.14936 + 5.45486i −0.109185 + 0.189113i
\(833\) −7.21274 9.92749i −0.249907 0.343967i
\(834\) −5.97969 2.24346i −0.207060 0.0776848i
\(835\) −6.87960 + 1.35843i −0.238078 + 0.0470103i
\(836\) 4.86978 0.168425
\(837\) −19.0074 + 21.8110i −0.656991 + 0.753898i
\(838\) 14.6807i 0.507138i
\(839\) 31.8569 10.3509i 1.09982 0.357354i 0.297788 0.954632i \(-0.403751\pi\)
0.802034 + 0.597278i \(0.203751\pi\)
\(840\) −11.3786 5.89693i −0.392599 0.203464i
\(841\) −1.19295 + 0.866728i −0.0411362 + 0.0298872i
\(842\) 13.4470 23.2908i 0.463413 0.802655i
\(843\) −1.85537 + 41.4148i −0.0639024 + 1.42640i
\(844\) 3.20695 + 1.42783i 0.110388 + 0.0491479i
\(845\) −43.7418 40.5482i −1.50476 1.39490i
\(846\) −23.2151 20.2734i −0.798150 0.697013i
\(847\) 6.65073 31.2892i 0.228522 1.07511i
\(848\) 9.37566 0.985422i 0.321962 0.0338395i
\(849\) 19.6461 5.42432i 0.674253 0.186162i
\(850\) −13.6722 + 7.37388i −0.468951 + 0.252922i
\(851\) −0.323843 0.0340372i −0.0111012 0.00116678i
\(852\) −10.2601 + 8.43822i −0.351506 + 0.289088i
\(853\) 28.9043 + 9.39156i 0.989663 + 0.321561i 0.758728 0.651408i \(-0.225821\pi\)
0.230935 + 0.972969i \(0.425821\pi\)
\(854\) 2.24412 21.3514i 0.0767922 0.730629i
\(855\) 14.1298 24.5126i 0.483230 0.838314i
\(856\) −3.18735 + 3.53991i −0.108941 + 0.120992i
\(857\) −2.01370 19.1591i −0.0687867 0.654462i −0.973539 0.228523i \(-0.926610\pi\)
0.904752 0.425939i \(-0.140056\pi\)
\(858\) 8.83906 8.97426i 0.301760 0.306376i
\(859\) −1.79311 4.02739i −0.0611801 0.137413i 0.880368 0.474291i \(-0.157296\pi\)
−0.941548 + 0.336878i \(0.890629\pi\)
\(860\) 2.64513 + 2.45201i 0.0901981 + 0.0836128i
\(861\) −3.24837 + 2.14474i −0.110704 + 0.0730927i
\(862\) −13.6422 + 7.87633i −0.464655 + 0.268269i
\(863\) −37.4151 21.6016i −1.27363 0.735328i −0.297957 0.954579i \(-0.596305\pi\)
−0.975668 + 0.219251i \(0.929639\pi\)
\(864\) −4.57490 + 2.46380i −0.155641 + 0.0838203i
\(865\) 35.6248 3.22317i 1.21128 0.109591i
\(866\) 4.72516 + 14.5425i 0.160567 + 0.494176i
\(867\) 6.85039 10.7260i 0.232651 0.364275i
\(868\) −9.93295 15.5171i −0.337146 0.526683i
\(869\) 12.2367i 0.415102i
\(870\) −19.9069 7.79957i −0.674908 0.264430i
\(871\) 5.23195 + 24.6144i 0.177278 + 0.834027i
\(872\) −5.62317 + 4.08547i −0.190424 + 0.138351i
\(873\) −4.67058 + 52.0227i −0.158075 + 1.76070i
\(874\) 24.6206 14.2147i 0.832806 0.480821i
\(875\) 25.9267 26.3918i 0.876482 0.892206i
\(876\) 17.6054 6.91186i 0.594832 0.233530i
\(877\) −6.10294 13.7074i −0.206082 0.462867i 0.780704 0.624902i \(-0.214861\pi\)
−0.986785 + 0.162035i \(0.948194\pi\)
\(878\) −0.0464806 0.00987975i −0.00156864 0.000333425i
\(879\) 39.4867 + 19.7434i 1.33185 + 0.665929i
\(880\) 1.94344 1.69955i 0.0655134 0.0572917i
\(881\) −34.4498 38.2604i −1.16064 1.28902i −0.950279 0.311401i \(-0.899202\pi\)
−0.210364 0.977623i \(-0.567465\pi\)
\(882\) 11.2125 3.83227i 0.377543 0.129039i
\(883\) −12.6252 + 38.8564i −0.424873 + 1.30762i 0.478244 + 0.878227i \(0.341274\pi\)
−0.903116 + 0.429396i \(0.858726\pi\)
\(884\) −18.6110 6.04708i −0.625955 0.203385i
\(885\) 17.6093 17.3680i 0.591930 0.583817i
\(886\) −16.2255 18.0202i −0.545106 0.605402i
\(887\) −5.98942 + 6.65193i −0.201105 + 0.223350i −0.835259 0.549857i \(-0.814682\pi\)
0.634153 + 0.773207i \(0.281349\pi\)
\(888\) −0.0748405 0.0374204i −0.00251148 0.00125574i
\(889\) −0.218133 + 1.02624i −0.00731596 + 0.0344189i
\(890\) 25.9208 8.00885i 0.868867 0.268457i
\(891\) 10.0940 2.46803i 0.338162 0.0826820i
\(892\) −13.6017 6.05588i −0.455420 0.202766i
\(893\) 21.6660 + 37.5266i 0.725026 + 1.25578i
\(894\) 8.37203 4.34612i 0.280003 0.145356i
\(895\) 6.33943 3.53860i 0.211904 0.118282i
\(896\) −0.687989 3.23673i −0.0229841 0.108132i
\(897\) 18.4929 71.1730i 0.617461 2.37640i
\(898\) −17.9700 −0.599667
\(899\) −19.1860 24.0127i −0.639887 0.800869i
\(900\) −2.91591 14.7139i −0.0971969 0.490462i
\(901\) 9.05067 + 27.8551i 0.301521 + 0.927988i
\(902\) −0.163034 0.767013i −0.00542843 0.0255387i
\(903\) −9.22826 + 0.553898i −0.307097 + 0.0184326i
\(904\) −0.564556 + 0.977840i −0.0187769 + 0.0325225i
\(905\) −26.6105 + 11.3886i −0.884562 + 0.378572i
\(906\) 14.2353 + 21.5604i 0.472937 + 0.716297i
\(907\) 30.6667 42.2091i 1.01827 1.40153i 0.104862 0.994487i \(-0.466560\pi\)
0.913409 0.407043i \(-0.133440\pi\)
\(908\) −20.7632 + 9.24439i −0.689052 + 0.306786i
\(909\) 33.8988 7.74503i 1.12435 0.256887i
\(910\) 46.6009 + 0.675299i 1.54481 + 0.0223859i
\(911\) 1.82670 2.02875i 0.0605211 0.0672155i −0.712124 0.702054i \(-0.752267\pi\)
0.772645 + 0.634838i \(0.218933\pi\)
\(912\) 7.20652 1.19754i 0.238632 0.0396545i
\(913\) −5.74580 0.603908i −0.190158 0.0199864i
\(914\) 10.7732 33.1565i 0.356346 1.09672i
\(915\) 21.1679 13.5398i 0.699789 0.447614i
\(916\) −3.08296 0.324033i −0.101864 0.0107063i
\(917\) −49.7553 55.2588i −1.64306 1.82481i
\(918\) −10.4423 12.3111i −0.344648 0.406328i
\(919\) −0.941849 8.96110i −0.0310687 0.295599i −0.999012 0.0444319i \(-0.985852\pi\)
0.967944 0.251167i \(-0.0808145\pi\)
\(920\) 4.86474 14.2654i 0.160386 0.470317i
\(921\) 51.5278 + 7.76076i 1.69790 + 0.255726i
\(922\) 13.4885 + 9.79998i 0.444221 + 0.322745i
\(923\) 19.6492 44.1328i 0.646761 1.45265i
\(924\) −0.296164 + 6.61084i −0.00974308 + 0.217481i
\(925\) 0.166760 0.174746i 0.00548303 0.00574560i
\(926\) 5.61621 4.08042i 0.184560 0.134091i
\(927\) −30.0197 + 22.5147i −0.985977 + 0.739479i
\(928\) −1.70589 5.25019i −0.0559986 0.172346i
\(929\) −48.2224 −1.58213 −0.791063 0.611735i \(-0.790472\pi\)
−0.791063 + 0.611735i \(0.790472\pi\)
\(930\) 6.93888 20.4170i 0.227535 0.669498i
\(931\) −16.6591 −0.545980
\(932\) 4.00533 + 12.3271i 0.131199 + 0.403789i
\(933\) 22.6555 + 8.49990i 0.741707 + 0.278274i
\(934\) 27.5825 20.0399i 0.902528 0.655725i
\(935\) 6.42007 + 4.80811i 0.209959 + 0.157242i
\(936\) 10.8736 15.4542i 0.355413 0.505135i
\(937\) −3.83731 + 8.61873i −0.125359 + 0.281562i −0.965313 0.261097i \(-0.915916\pi\)
0.839953 + 0.542659i \(0.182582\pi\)
\(938\) −10.6953 7.77057i −0.349213 0.253718i
\(939\) −2.99439 + 19.8813i −0.0977181 + 0.648802i
\(940\) 21.7433 + 7.41481i 0.709187 + 0.241845i
\(941\) 2.29808 + 21.8648i 0.0749154 + 0.712772i 0.965931 + 0.258800i \(0.0833269\pi\)
−0.891016 + 0.453973i \(0.850006\pi\)
\(942\) 17.7657 4.90511i 0.578836 0.159817i
\(943\) −3.06315 3.40198i −0.0997500 0.110784i
\(944\) 6.35111 + 0.667529i 0.206711 + 0.0217262i
\(945\) 32.4172 + 20.6724i 1.05453 + 0.672472i
\(946\) 0.575505 1.77122i 0.0187113 0.0575874i
\(947\) 54.8232 + 5.76215i 1.78151 + 0.187245i 0.937244 0.348673i \(-0.113368\pi\)
0.844270 + 0.535918i \(0.180034\pi\)
\(948\) −3.00916 18.1085i −0.0977331 0.588136i
\(949\) −46.0233 + 51.1140i −1.49398 + 1.65923i
\(950\) −2.81117 + 20.9005i −0.0912063 + 0.678102i
\(951\) 3.30553 3.35609i 0.107189 0.108829i
\(952\) 9.39168 4.18144i 0.304386 0.135521i
\(953\) −7.05987 + 9.71708i −0.228692 + 0.314767i −0.907907 0.419172i \(-0.862320\pi\)
0.679215 + 0.733939i \(0.262320\pi\)
\(954\) −28.2787 + 0.429307i −0.915556 + 0.0138993i
\(955\) 25.3829 10.8633i 0.821372 0.351528i
\(956\) −6.92763 + 11.9990i −0.224055 + 0.388075i
\(957\) 0.661435 + 11.0199i 0.0213812 + 0.356223i
\(958\) −1.64066 7.71868i −0.0530072 0.249379i
\(959\) 9.50997 + 29.2687i 0.307093 + 0.945135i
\(960\) 2.45806 2.99298i 0.0793335 0.0965981i
\(961\) 23.3074 20.4394i 0.751850 0.659334i
\(962\) 0.304287 0.00981062
\(963\) 10.4734 9.72215i 0.337499 0.313292i
\(964\) −3.93178 18.4976i −0.126634 0.595767i
\(965\) −25.5948 45.8534i −0.823927 1.47607i
\(966\) 17.7995 + 34.2876i 0.572689 + 1.10319i
\(967\) −21.6563 37.5098i −0.696420 1.20623i −0.969700 0.244300i \(-0.921442\pi\)
0.273280 0.961934i \(-0.411891\pi\)
\(968\) 8.83117 + 3.93189i 0.283844 + 0.126376i
\(969\) 8.29415 + 21.1263i 0.266446 + 0.678674i
\(970\) −11.4927 37.1964i −0.369009 1.19430i
\(971\) −2.19074 + 10.3066i −0.0703043 + 0.330756i −0.999218 0.0395406i \(-0.987411\pi\)
0.928914 + 0.370296i \(0.120744\pi\)
\(972\) 14.3306 6.13454i 0.459656 0.196766i
\(973\) −8.16448 + 9.06758i −0.261741 + 0.290693i
\(974\) 4.40544 + 4.89273i 0.141159 + 0.156773i
\(975\) 33.4140 + 43.1167i 1.07010 + 1.38084i
\(976\) 6.17043 + 2.00489i 0.197511 + 0.0641751i
\(977\) 4.28609 13.1912i 0.137124 0.422025i −0.858790 0.512327i \(-0.828783\pi\)
0.995914 + 0.0903026i \(0.0287834\pi\)
\(978\) −9.37616 + 11.7600i −0.299816 + 0.376043i
\(979\) −9.37352 10.4103i −0.299579 0.332716i
\(980\) −6.64835 + 5.81400i −0.212374 + 0.185721i
\(981\) 17.8979 10.6988i 0.571436 0.341588i
\(982\) −28.7332 6.10743i −0.916913 0.194896i
\(983\) −5.89934 13.2501i −0.188160 0.422613i 0.794692 0.607013i \(-0.207633\pi\)
−0.982851 + 0.184400i \(0.940966\pi\)
\(984\) −0.429883 1.09497i −0.0137042 0.0349064i
\(985\) 7.08219 11.8663i 0.225657 0.378090i
\(986\) 14.8529 8.57530i 0.473011 0.273093i
\(987\) −52.2610 + 27.1299i −1.66348 + 0.863554i
\(988\) −21.4927 + 15.6153i −0.683773 + 0.496790i
\(989\) −2.26050 10.6348i −0.0718798 0.338168i
\(990\) −6.26289 + 4.55686i −0.199048 + 0.144827i
\(991\) 8.41958i 0.267457i 0.991018 + 0.133728i \(0.0426950\pi\)
−0.991018 + 0.133728i \(0.957305\pi\)
\(992\) 5.21092 1.96120i 0.165447 0.0622683i
\(993\) 39.4444 + 25.1919i 1.25173 + 0.799442i
\(994\) 7.84266 + 24.1372i 0.248754 + 0.765587i
\(995\) 3.11095 + 34.3845i 0.0986239 + 1.09006i
\(996\) −8.65141 + 0.519274i −0.274131 + 0.0164538i
\(997\) −14.6844 8.47805i −0.465060 0.268502i 0.249110 0.968475i \(-0.419862\pi\)
−0.714169 + 0.699973i \(0.753195\pi\)
\(998\) −13.8980 + 8.02400i −0.439933 + 0.253995i
\(999\) 0.213584 + 0.131888i 0.00675749 + 0.00417275i
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 930.2.bo.b.179.13 yes 256
3.2 odd 2 930.2.bo.a.179.9 256
5.4 even 2 930.2.bo.a.179.20 yes 256
15.14 odd 2 inner 930.2.bo.b.179.24 yes 256
31.22 odd 30 inner 930.2.bo.b.239.24 yes 256
93.53 even 30 930.2.bo.a.239.20 yes 256
155.84 odd 30 930.2.bo.a.239.9 yes 256
465.239 even 30 inner 930.2.bo.b.239.13 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bo.a.179.9 256 3.2 odd 2
930.2.bo.a.179.20 yes 256 5.4 even 2
930.2.bo.a.239.9 yes 256 155.84 odd 30
930.2.bo.a.239.20 yes 256 93.53 even 30
930.2.bo.b.179.13 yes 256 1.1 even 1 trivial
930.2.bo.b.179.24 yes 256 15.14 odd 2 inner
930.2.bo.b.239.13 yes 256 465.239 even 30 inner
930.2.bo.b.239.24 yes 256 31.22 odd 30 inner