Properties

Label 320.2.bj.a.27.23
Level $320$
Weight $2$
Character 320.27
Analytic conductor $2.555$
Analytic rank $0$
Dimension $368$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [320,2,Mod(3,320)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(320, base_ring=CyclotomicField(16))
 
chi = DirichletCharacter(H, H._module([8, 3, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("320.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 320 = 2^{6} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 320.bj (of order \(16\), 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: \(2.55521286468\)
Analytic rank: \(0\)
Dimension: \(368\)
Relative dimension: \(46\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 27.23
Character \(\chi\) \(=\) 320.27
Dual form 320.2.bj.a.83.23

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.123259 + 1.40883i) q^{2} +(-1.05489 + 0.209831i) q^{3} +(-1.96961 - 0.347303i) q^{4} +(-0.464105 + 2.18737i) q^{5} +(-0.165591 - 1.51203i) q^{6} +(0.103399 + 0.249628i) q^{7} +(0.732064 - 2.73205i) q^{8} +(-1.70288 + 0.705354i) q^{9} +O(q^{10})\) \(q+(-0.123259 + 1.40883i) q^{2} +(-1.05489 + 0.209831i) q^{3} +(-1.96961 - 0.347303i) q^{4} +(-0.464105 + 2.18737i) q^{5} +(-0.165591 - 1.51203i) q^{6} +(0.103399 + 0.249628i) q^{7} +(0.732064 - 2.73205i) q^{8} +(-1.70288 + 0.705354i) q^{9} +(-3.02444 - 0.923460i) q^{10} +(-0.477773 - 0.715038i) q^{11} +(2.15060 - 0.0469192i) q^{12} +(-2.63127 - 1.75816i) q^{13} +(-0.364429 + 0.114903i) q^{14} +(0.0306015 - 2.40482i) q^{15} +(3.75876 + 1.36811i) q^{16} -5.79821 q^{17} +(-0.783830 - 2.48601i) q^{18} +(6.91106 - 1.37469i) q^{19} +(1.67379 - 4.14710i) q^{20} +(-0.161454 - 0.241634i) q^{21} +(1.06626 - 0.584967i) q^{22} +(-5.58326 - 2.31266i) q^{23} +(-0.198980 + 3.03562i) q^{24} +(-4.56921 - 2.03034i) q^{25} +(2.80128 - 3.49031i) q^{26} +(4.33122 - 2.89403i) q^{27} +(-0.116960 - 0.527582i) q^{28} +(-0.531148 + 0.794919i) q^{29} +(3.38422 + 0.339529i) q^{30} -3.54205 q^{31} +(-2.39073 + 5.12683i) q^{32} +(0.654035 + 0.654035i) q^{33} +(0.714683 - 8.16871i) q^{34} +(-0.594018 + 0.110319i) q^{35} +(3.59898 - 0.797862i) q^{36} +(1.33364 + 1.99593i) q^{37} +(1.08486 + 9.90596i) q^{38} +(3.14462 + 1.30254i) q^{39} +(5.63626 + 2.86926i) q^{40} +(-6.95767 + 2.88196i) q^{41} +(0.360322 - 0.197679i) q^{42} +(-1.46098 + 7.34484i) q^{43} +(0.692694 + 1.57428i) q^{44} +(-0.752560 - 4.05218i) q^{45} +(3.94634 - 7.58082i) q^{46} +9.88727i q^{47} +(-4.25215 - 0.654497i) q^{48} +(4.89812 - 4.89812i) q^{49} +(3.42361 - 6.18699i) q^{50} +(6.11647 - 1.21664i) q^{51} +(4.57198 + 4.37674i) q^{52} +(-1.96539 + 9.88067i) q^{53} +(3.54334 + 6.45867i) q^{54} +(1.78579 - 0.713216i) q^{55} +(0.757690 - 0.0997480i) q^{56} +(-7.00195 + 2.90030i) q^{57} +(-1.05444 - 0.846279i) q^{58} +(0.649902 - 3.26728i) q^{59} +(-0.895475 + 4.72594i) q^{60} +(-5.62744 + 8.42207i) q^{61} +(0.436590 - 4.99015i) q^{62} +(-0.352152 - 0.352152i) q^{63} +(-6.92816 - 4.00007i) q^{64} +(5.06694 - 4.93961i) q^{65} +(-1.00204 + 0.840809i) q^{66} +(-0.324135 - 1.62954i) q^{67} +(11.4202 + 2.01374i) q^{68} +(6.37499 + 1.26806i) q^{69} +(-0.0822033 - 0.850469i) q^{70} +(4.30309 + 1.78240i) q^{71} +(0.680446 + 5.16870i) q^{72} +(-7.84704 - 3.25035i) q^{73} +(-2.97631 + 1.63285i) q^{74} +(5.24604 + 1.18303i) q^{75} +(-14.0896 + 0.307389i) q^{76} +(0.129092 - 0.193200i) q^{77} +(-2.22267 + 4.26969i) q^{78} +(3.31882 + 3.31882i) q^{79} +(-4.73702 + 7.58687i) q^{80} +(-0.0517288 + 0.0517288i) q^{81} +(-3.20260 - 10.1574i) q^{82} +(-5.92535 - 3.95919i) q^{83} +(0.234083 + 0.531999i) q^{84} +(2.69098 - 12.6829i) q^{85} +(-10.1676 - 2.96359i) q^{86} +(0.393504 - 0.950003i) q^{87} +(-2.30328 + 0.781845i) q^{88} +(-3.67951 + 8.88313i) q^{89} +(5.80161 - 0.560762i) q^{90} +(0.166814 - 0.838631i) q^{91} +(10.1937 + 6.49413i) q^{92} +(3.73647 - 0.743230i) q^{93} +(-13.9295 - 1.21870i) q^{94} +(-0.200484 + 15.7551i) q^{95} +(1.44619 - 5.90989i) q^{96} +(-8.82568 + 8.82568i) q^{97} +(6.29690 + 7.50437i) q^{98} +(1.31794 + 0.880621i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 368 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 8 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 368 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{10} - 16 q^{11} - 40 q^{12} - 8 q^{13} - 32 q^{14} - 8 q^{15} - 16 q^{16} - 16 q^{17} - 8 q^{18} - 8 q^{20} - 16 q^{21} + 24 q^{22} - 8 q^{23} + 16 q^{24} - 8 q^{25} - 16 q^{26} - 8 q^{27} - 8 q^{28} - 104 q^{30} - 32 q^{31} - 8 q^{32} - 32 q^{34} - 8 q^{35} - 16 q^{36} - 8 q^{37} + 48 q^{38} + 16 q^{40} - 16 q^{41} - 8 q^{42} - 8 q^{43} + 16 q^{45} - 16 q^{46} - 112 q^{48} - 112 q^{50} - 48 q^{51} - 8 q^{52} - 8 q^{53} - 8 q^{55} + 80 q^{56} - 8 q^{57} + 56 q^{58} + 48 q^{60} - 16 q^{61} - 24 q^{62} - 16 q^{65} + 80 q^{66} - 8 q^{67} - 96 q^{68} + 64 q^{69} - 8 q^{70} - 80 q^{71} + 112 q^{72} - 8 q^{73} - 8 q^{75} + 48 q^{76} - 8 q^{77} + 144 q^{78} - 32 q^{79} - 8 q^{80} - 16 q^{81} - 168 q^{82} - 8 q^{83} - 48 q^{85} - 16 q^{86} + 104 q^{87} - 96 q^{88} - 8 q^{90} - 16 q^{91} - 88 q^{92} - 32 q^{93} + 32 q^{94} - 16 q^{95} - 16 q^{96} + 32 q^{98} + 128 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(257\) \(261\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{9}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.123259 + 1.40883i −0.0871574 + 0.996195i
\(3\) −1.05489 + 0.209831i −0.609041 + 0.121146i −0.489969 0.871740i \(-0.662992\pi\)
−0.119072 + 0.992886i \(0.537992\pi\)
\(4\) −1.96961 0.347303i −0.984807 0.173651i
\(5\) −0.464105 + 2.18737i −0.207554 + 0.978224i
\(6\) −0.165591 1.51203i −0.0676023 0.617282i
\(7\) 0.103399 + 0.249628i 0.0390813 + 0.0943505i 0.942215 0.335009i \(-0.108739\pi\)
−0.903134 + 0.429359i \(0.858739\pi\)
\(8\) 0.732064 2.73205i 0.258824 0.965925i
\(9\) −1.70288 + 0.705354i −0.567625 + 0.235118i
\(10\) −3.02444 0.923460i −0.956411 0.292024i
\(11\) −0.477773 0.715038i −0.144054 0.215592i 0.752425 0.658678i \(-0.228884\pi\)
−0.896479 + 0.443085i \(0.853884\pi\)
\(12\) 2.15060 0.0469192i 0.620825 0.0135444i
\(13\) −2.63127 1.75816i −0.729784 0.487626i 0.134321 0.990938i \(-0.457115\pi\)
−0.864105 + 0.503312i \(0.832115\pi\)
\(14\) −0.364429 + 0.114903i −0.0973977 + 0.0307092i
\(15\) 0.0306015 2.40482i 0.00790127 0.620922i
\(16\) 3.75876 + 1.36811i 0.939690 + 0.342026i
\(17\) −5.79821 −1.40627 −0.703136 0.711055i \(-0.748218\pi\)
−0.703136 + 0.711055i \(0.748218\pi\)
\(18\) −0.783830 2.48601i −0.184751 0.585957i
\(19\) 6.91106 1.37469i 1.58551 0.315377i 0.677885 0.735168i \(-0.262897\pi\)
0.907621 + 0.419791i \(0.137897\pi\)
\(20\) 1.67379 4.14710i 0.374271 0.927320i
\(21\) −0.161454 0.241634i −0.0352322 0.0527288i
\(22\) 1.06626 0.584967i 0.227327 0.124715i
\(23\) −5.58326 2.31266i −1.16419 0.482223i −0.284922 0.958551i \(-0.591968\pi\)
−0.879268 + 0.476327i \(0.841968\pi\)
\(24\) −0.198980 + 3.03562i −0.0406166 + 0.619643i
\(25\) −4.56921 2.03034i −0.913843 0.406069i
\(26\) 2.80128 3.49031i 0.549376 0.684506i
\(27\) 4.33122 2.89403i 0.833543 0.556956i
\(28\) −0.116960 0.527582i −0.0221034 0.0997036i
\(29\) −0.531148 + 0.794919i −0.0986317 + 0.147613i −0.877503 0.479571i \(-0.840792\pi\)
0.778872 + 0.627184i \(0.215792\pi\)
\(30\) 3.38422 + 0.339529i 0.617871 + 0.0619892i
\(31\) −3.54205 −0.636171 −0.318085 0.948062i \(-0.603040\pi\)
−0.318085 + 0.948062i \(0.603040\pi\)
\(32\) −2.39073 + 5.12683i −0.422626 + 0.906304i
\(33\) 0.654035 + 0.654035i 0.113853 + 0.113853i
\(34\) 0.714683 8.16871i 0.122567 1.40092i
\(35\) −0.594018 + 0.110319i −0.100407 + 0.0186474i
\(36\) 3.59898 0.797862i 0.599830 0.132977i
\(37\) 1.33364 + 1.99593i 0.219248 + 0.328128i 0.924747 0.380583i \(-0.124277\pi\)
−0.705498 + 0.708712i \(0.749277\pi\)
\(38\) 1.08486 + 9.90596i 0.175988 + 1.60696i
\(39\) 3.14462 + 1.30254i 0.503542 + 0.208574i
\(40\) 5.63626 + 2.86926i 0.891170 + 0.453669i
\(41\) −6.95767 + 2.88196i −1.08661 + 0.450087i −0.852822 0.522202i \(-0.825111\pi\)
−0.233783 + 0.972289i \(0.575111\pi\)
\(42\) 0.360322 0.197679i 0.0555989 0.0305025i
\(43\) −1.46098 + 7.34484i −0.222797 + 1.12008i 0.693770 + 0.720197i \(0.255948\pi\)
−0.916567 + 0.399881i \(0.869052\pi\)
\(44\) 0.692694 + 1.57428i 0.104428 + 0.237332i
\(45\) −0.752560 4.05218i −0.112185 0.604064i
\(46\) 3.94634 7.58082i 0.581856 1.11773i
\(47\) 9.88727i 1.44221i 0.692828 + 0.721103i \(0.256365\pi\)
−0.692828 + 0.721103i \(0.743635\pi\)
\(48\) −4.25215 0.654497i −0.613745 0.0944685i
\(49\) 4.89812 4.89812i 0.699732 0.699732i
\(50\) 3.42361 6.18699i 0.484171 0.874973i
\(51\) 6.11647 1.21664i 0.856478 0.170364i
\(52\) 4.57198 + 4.37674i 0.634019 + 0.606945i
\(53\) −1.96539 + 9.88067i −0.269967 + 1.35721i 0.573136 + 0.819461i \(0.305727\pi\)
−0.843102 + 0.537753i \(0.819273\pi\)
\(54\) 3.54334 + 6.45867i 0.482187 + 0.878914i
\(55\) 1.78579 0.713216i 0.240796 0.0961700i
\(56\) 0.757690 0.0997480i 0.101251 0.0133294i
\(57\) −7.00195 + 2.90030i −0.927431 + 0.384155i
\(58\) −1.05444 0.846279i −0.138455 0.111122i
\(59\) 0.649902 3.26728i 0.0846100 0.425363i −0.915143 0.403130i \(-0.867922\pi\)
0.999753 0.0222335i \(-0.00707773\pi\)
\(60\) −0.895475 + 4.72594i −0.115605 + 0.610117i
\(61\) −5.62744 + 8.42207i −0.720520 + 1.07834i 0.272701 + 0.962099i \(0.412083\pi\)
−0.993222 + 0.116236i \(0.962917\pi\)
\(62\) 0.436590 4.99015i 0.0554470 0.633750i
\(63\) −0.352152 0.352152i −0.0443670 0.0443670i
\(64\) −6.92816 4.00007i −0.866020 0.500009i
\(65\) 5.06694 4.93961i 0.628477 0.612683i
\(66\) −1.00204 + 0.840809i −0.123343 + 0.103496i
\(67\) −0.324135 1.62954i −0.0395994 0.199080i 0.955921 0.293623i \(-0.0948610\pi\)
−0.995521 + 0.0945431i \(0.969861\pi\)
\(68\) 11.4202 + 2.01374i 1.38491 + 0.244201i
\(69\) 6.37499 + 1.26806i 0.767459 + 0.152657i
\(70\) −0.0822033 0.850469i −0.00982517 0.101651i
\(71\) 4.30309 + 1.78240i 0.510683 + 0.211532i 0.623119 0.782127i \(-0.285865\pi\)
−0.112436 + 0.993659i \(0.535865\pi\)
\(72\) 0.680446 + 5.16870i 0.0801914 + 0.609137i
\(73\) −7.84704 3.25035i −0.918427 0.380425i −0.127150 0.991883i \(-0.540583\pi\)
−0.791276 + 0.611459i \(0.790583\pi\)
\(74\) −2.97631 + 1.63285i −0.345989 + 0.189815i
\(75\) 5.24604 + 1.18303i 0.605761 + 0.136604i
\(76\) −14.0896 + 0.307389i −1.61618 + 0.0352599i
\(77\) 0.129092 0.193200i 0.0147114 0.0220172i
\(78\) −2.22267 + 4.26969i −0.251668 + 0.483447i
\(79\) 3.31882 + 3.31882i 0.373396 + 0.373396i 0.868713 0.495317i \(-0.164948\pi\)
−0.495317 + 0.868713i \(0.664948\pi\)
\(80\) −4.73702 + 7.58687i −0.529615 + 0.848238i
\(81\) −0.0517288 + 0.0517288i −0.00574764 + 0.00574764i
\(82\) −3.20260 10.1574i −0.353668 1.12170i
\(83\) −5.92535 3.95919i −0.650392 0.434578i 0.186120 0.982527i \(-0.440409\pi\)
−0.836512 + 0.547949i \(0.815409\pi\)
\(84\) 0.234083 + 0.531999i 0.0255405 + 0.0580458i
\(85\) 2.69098 12.6829i 0.291878 1.37565i
\(86\) −10.1676 2.96359i −1.09640 0.319572i
\(87\) 0.393504 0.950003i 0.0421881 0.101851i
\(88\) −2.30328 + 0.781845i −0.245530 + 0.0833450i
\(89\) −3.67951 + 8.88313i −0.390028 + 0.941610i 0.599905 + 0.800071i \(0.295205\pi\)
−0.989933 + 0.141539i \(0.954795\pi\)
\(90\) 5.80161 0.560762i 0.611543 0.0591095i
\(91\) 0.166814 0.838631i 0.0174869 0.0879125i
\(92\) 10.1937 + 6.49413i 1.06276 + 0.677060i
\(93\) 3.73647 0.743230i 0.387454 0.0770694i
\(94\) −13.9295 1.21870i −1.43672 0.125699i
\(95\) −0.200484 + 15.7551i −0.0205692 + 1.61644i
\(96\) 1.44619 5.90989i 0.147601 0.603176i
\(97\) −8.82568 + 8.82568i −0.896112 + 0.896112i −0.995090 0.0989773i \(-0.968443\pi\)
0.0989773 + 0.995090i \(0.468443\pi\)
\(98\) 6.29690 + 7.50437i 0.636083 + 0.758056i
\(99\) 1.31794 + 0.880621i 0.132458 + 0.0885058i
\(100\) 8.29444 + 5.58589i 0.829444 + 0.558589i
\(101\) 15.2359 + 3.03060i 1.51602 + 0.301556i 0.881811 0.471603i \(-0.156324\pi\)
0.634213 + 0.773159i \(0.281324\pi\)
\(102\) 0.960133 + 8.76705i 0.0950673 + 0.868067i
\(103\) −5.20252 12.5600i −0.512620 1.23757i −0.942354 0.334618i \(-0.891393\pi\)
0.429734 0.902955i \(-0.358607\pi\)
\(104\) −6.72964 + 5.90167i −0.659895 + 0.578707i
\(105\) 0.603475 0.241018i 0.0588931 0.0235209i
\(106\) −13.6779 3.98678i −1.32852 0.387230i
\(107\) −3.25653 0.647764i −0.314821 0.0626217i 0.0351511 0.999382i \(-0.488809\pi\)
−0.349972 + 0.936760i \(0.613809\pi\)
\(108\) −9.53593 + 4.19587i −0.917595 + 0.403748i
\(109\) 1.02628 + 5.15945i 0.0982996 + 0.494186i 0.998299 + 0.0582953i \(0.0185665\pi\)
−0.900000 + 0.435890i \(0.856434\pi\)
\(110\) 0.784686 + 2.60379i 0.0748169 + 0.248262i
\(111\) −1.82564 1.82564i −0.173283 0.173283i
\(112\) 0.0471360 + 1.07975i 0.00445393 + 0.102027i
\(113\) 5.48255 0.515755 0.257878 0.966178i \(-0.416977\pi\)
0.257878 + 0.966178i \(0.416977\pi\)
\(114\) −3.22298 10.2221i −0.301860 0.957384i
\(115\) 7.64987 11.1394i 0.713354 1.03875i
\(116\) 1.32223 1.38121i 0.122766 0.128243i
\(117\) 5.72085 + 1.13795i 0.528893 + 0.105203i
\(118\) 4.52294 + 1.31832i 0.416370 + 0.121362i
\(119\) −0.599531 1.44740i −0.0549589 0.132683i
\(120\) −6.54769 1.84409i −0.597719 0.168342i
\(121\) 3.92651 9.47942i 0.356955 0.861766i
\(122\) −11.1716 8.96622i −1.01143 0.811763i
\(123\) 6.73485 4.50008i 0.607261 0.405759i
\(124\) 6.97647 + 1.23016i 0.626505 + 0.110472i
\(125\) 6.56171 9.05229i 0.586898 0.809661i
\(126\) 0.539529 0.452717i 0.0480651 0.0403313i
\(127\) 3.95918 3.95918i 0.351321 0.351321i −0.509280 0.860601i \(-0.670088\pi\)
0.860601 + 0.509280i \(0.170088\pi\)
\(128\) 6.48938 9.26757i 0.573586 0.819145i
\(129\) 8.05455i 0.709164i
\(130\) 6.33453 + 7.74732i 0.555575 + 0.679485i
\(131\) −11.3270 7.56844i −0.989642 0.661258i −0.0483427 0.998831i \(-0.515394\pi\)
−0.941299 + 0.337573i \(0.890394\pi\)
\(132\) −1.06105 1.51534i −0.0923524 0.131894i
\(133\) 1.05776 + 1.58305i 0.0917195 + 0.137268i
\(134\) 2.33570 0.255797i 0.201774 0.0220975i
\(135\) 4.32018 + 10.8171i 0.371822 + 0.930990i
\(136\) −4.24466 + 15.8410i −0.363977 + 1.35835i
\(137\) −0.982943 + 2.37303i −0.0839785 + 0.202742i −0.960291 0.279002i \(-0.909996\pi\)
0.876312 + 0.481744i \(0.159996\pi\)
\(138\) −2.57226 + 8.82499i −0.218966 + 0.751233i
\(139\) 16.9244 11.3085i 1.43551 0.959174i 0.437298 0.899317i \(-0.355935\pi\)
0.998207 0.0598573i \(-0.0190646\pi\)
\(140\) 1.20830 0.0109825i 0.102120 0.000928191i
\(141\) −2.07465 10.4300i −0.174717 0.878363i
\(142\) −3.04149 + 5.84263i −0.255236 + 0.490303i
\(143\) 2.72146i 0.227580i
\(144\) −7.36570 + 0.321545i −0.613808 + 0.0267954i
\(145\) −1.49228 1.53075i −0.123927 0.127121i
\(146\) 5.54642 10.6545i 0.459025 0.881775i
\(147\) −4.13920 + 6.19476i −0.341396 + 0.510935i
\(148\) −1.93356 4.39438i −0.158937 0.361216i
\(149\) −3.09746 + 2.06965i −0.253754 + 0.169553i −0.675941 0.736956i \(-0.736262\pi\)
0.422187 + 0.906509i \(0.361262\pi\)
\(150\) −2.31331 + 7.24497i −0.188881 + 0.591550i
\(151\) 3.61222 + 8.72068i 0.293959 + 0.709679i 0.999999 + 0.00150721i \(0.000479761\pi\)
−0.706040 + 0.708172i \(0.749520\pi\)
\(152\) 1.30361 19.8877i 0.105736 1.61311i
\(153\) 9.87363 4.08979i 0.798236 0.330640i
\(154\) 0.256274 + 0.205683i 0.0206512 + 0.0165744i
\(155\) 1.64388 7.74779i 0.132040 0.622317i
\(156\) −5.74131 3.65764i −0.459672 0.292846i
\(157\) 2.35571 + 11.8429i 0.188006 + 0.945170i 0.953423 + 0.301635i \(0.0975325\pi\)
−0.765417 + 0.643534i \(0.777467\pi\)
\(158\) −5.08473 + 4.26658i −0.404519 + 0.339431i
\(159\) 10.8354i 0.859304i
\(160\) −10.1047 7.60881i −0.798851 0.601530i
\(161\) 1.63286i 0.128688i
\(162\) −0.0665011 0.0792532i −0.00522482 0.00622672i
\(163\) −2.80738 14.1136i −0.219891 1.10547i −0.920147 0.391574i \(-0.871931\pi\)
0.700256 0.713892i \(-0.253069\pi\)
\(164\) 14.7048 3.25993i 1.14825 0.254558i
\(165\) −1.73416 + 1.12708i −0.135004 + 0.0877429i
\(166\) 6.30819 7.85982i 0.489611 0.610040i
\(167\) −2.98916 + 1.23815i −0.231308 + 0.0958110i −0.495327 0.868706i \(-0.664952\pi\)
0.264019 + 0.964517i \(0.414952\pi\)
\(168\) −0.778349 + 0.264210i −0.0600510 + 0.0203842i
\(169\) −1.14242 2.75804i −0.0878783 0.212157i
\(170\) 17.5363 + 5.35442i 1.34497 + 0.410665i
\(171\) −10.7990 + 7.21568i −0.825822 + 0.551797i
\(172\) 5.42845 13.9591i 0.413915 1.06437i
\(173\) 1.83409 2.74491i 0.139443 0.208691i −0.755175 0.655524i \(-0.772448\pi\)
0.894618 + 0.446832i \(0.147448\pi\)
\(174\) 1.28989 + 0.671478i 0.0977864 + 0.0509046i
\(175\) 0.0343769 1.35054i 0.00259865 0.102091i
\(176\) −0.817588 3.34130i −0.0616280 0.251860i
\(177\) 3.58299i 0.269314i
\(178\) −12.0613 6.27874i −0.904033 0.470612i
\(179\) 0.536969 + 2.69953i 0.0401349 + 0.201772i 0.995650 0.0931695i \(-0.0296998\pi\)
−0.955515 + 0.294941i \(0.904700\pi\)
\(180\) 0.0749189 + 8.24261i 0.00558412 + 0.614368i
\(181\) −14.1212 + 9.43548i −1.04962 + 0.701334i −0.955729 0.294249i \(-0.904931\pi\)
−0.0938910 + 0.995582i \(0.529931\pi\)
\(182\) 1.16093 + 0.338382i 0.0860538 + 0.0250825i
\(183\) 4.16913 10.0652i 0.308191 0.744038i
\(184\) −10.4056 + 13.5607i −0.767111 + 0.999709i
\(185\) −4.98479 + 1.99084i −0.366489 + 0.146369i
\(186\) 0.586532 + 5.35567i 0.0430066 + 0.392697i
\(187\) 2.77023 + 4.14594i 0.202579 + 0.303181i
\(188\) 3.43388 19.4741i 0.250441 1.42030i
\(189\) 1.17027 + 0.781953i 0.0851250 + 0.0568787i
\(190\) −22.1715 2.22441i −1.60849 0.161375i
\(191\) 18.9611i 1.37198i 0.727613 + 0.685988i \(0.240630\pi\)
−0.727613 + 0.685988i \(0.759370\pi\)
\(192\) 8.14779 + 2.76589i 0.588016 + 0.199611i
\(193\) 12.4585 12.4585i 0.896784 0.896784i −0.0983660 0.995150i \(-0.531362\pi\)
0.995150 + 0.0983660i \(0.0313616\pi\)
\(194\) −11.3461 13.5218i −0.814599 0.970805i
\(195\) −4.30858 + 6.27394i −0.308544 + 0.449286i
\(196\) −11.3485 + 7.94628i −0.810611 + 0.567592i
\(197\) 4.79511 3.20399i 0.341637 0.228275i −0.372901 0.927871i \(-0.621637\pi\)
0.714538 + 0.699596i \(0.246637\pi\)
\(198\) −1.40310 + 1.74822i −0.0997137 + 0.124240i
\(199\) 3.94453 9.52294i 0.279621 0.675064i −0.720205 0.693762i \(-0.755952\pi\)
0.999825 + 0.0186980i \(0.00595211\pi\)
\(200\) −8.89195 + 10.9970i −0.628756 + 0.777603i
\(201\) 0.683854 + 1.65097i 0.0482354 + 0.116450i
\(202\) −6.14756 + 21.0912i −0.432541 + 1.48397i
\(203\) −0.253354 0.0503953i −0.0177820 0.00353706i
\(204\) −12.4696 + 0.272048i −0.873049 + 0.0190471i
\(205\) −3.07484 16.5566i −0.214756 1.15636i
\(206\) 18.3362 5.78134i 1.27754 0.402805i
\(207\) 11.1388 0.774203
\(208\) −7.48498 10.2084i −0.518990 0.707822i
\(209\) −4.28488 4.28488i −0.296391 0.296391i
\(210\) 0.265170 + 0.879902i 0.0182985 + 0.0607190i
\(211\) −0.232647 1.16960i −0.0160161 0.0805184i 0.971951 0.235185i \(-0.0755696\pi\)
−0.987967 + 0.154667i \(0.950570\pi\)
\(212\) 7.30264 18.7785i 0.501547 1.28971i
\(213\) −4.91329 0.977313i −0.336653 0.0669644i
\(214\) 1.31399 4.50806i 0.0898223 0.308165i
\(215\) −15.3879 6.60449i −1.04944 0.450422i
\(216\) −4.73589 13.9517i −0.322236 0.949293i
\(217\) −0.366245 0.884194i −0.0248623 0.0600230i
\(218\) −7.39530 + 0.809904i −0.500873 + 0.0548536i
\(219\) 8.95979 + 1.78221i 0.605446 + 0.120431i
\(220\) −3.76503 + 0.784550i −0.253838 + 0.0528943i
\(221\) 15.2567 + 10.1942i 1.02627 + 0.685735i
\(222\) 2.79705 2.34700i 0.187726 0.157520i
\(223\) −17.9600 + 17.9600i −1.20269 + 1.20269i −0.229342 + 0.973346i \(0.573658\pi\)
−0.973346 + 0.229342i \(0.926342\pi\)
\(224\) −1.52700 0.0666828i −0.102027 0.00445543i
\(225\) 9.21291 + 0.234508i 0.614194 + 0.0156338i
\(226\) −0.675775 + 7.72400i −0.0449519 + 0.513793i
\(227\) −10.4215 + 2.07297i −0.691701 + 0.137588i −0.528409 0.848990i \(-0.677211\pi\)
−0.163292 + 0.986578i \(0.552211\pi\)
\(228\) 14.7984 3.28068i 0.980050 0.217268i
\(229\) −2.33631 + 11.7454i −0.154388 + 0.776161i 0.823546 + 0.567249i \(0.191992\pi\)
−0.977934 + 0.208912i \(0.933008\pi\)
\(230\) 14.7506 + 12.1504i 0.972624 + 0.801175i
\(231\) −0.0956387 + 0.230892i −0.00629256 + 0.0151916i
\(232\) 1.78292 + 2.03305i 0.117055 + 0.133476i
\(233\) 4.12549 9.95981i 0.270270 0.652489i −0.729225 0.684274i \(-0.760119\pi\)
0.999495 + 0.0317852i \(0.0101193\pi\)
\(234\) −2.30833 + 7.91946i −0.150900 + 0.517711i
\(235\) −21.6272 4.58873i −1.41080 0.299336i
\(236\) −2.41479 + 6.20957i −0.157190 + 0.404208i
\(237\) −4.19737 2.80460i −0.272649 0.182178i
\(238\) 2.11303 0.666233i 0.136968 0.0431855i
\(239\) −12.7235 + 12.7235i −0.823012 + 0.823012i −0.986539 0.163527i \(-0.947713\pi\)
0.163527 + 0.986539i \(0.447713\pi\)
\(240\) 3.40507 8.99729i 0.219797 0.580772i
\(241\) −11.6439 11.6439i −0.750051 0.750051i 0.224438 0.974488i \(-0.427945\pi\)
−0.974488 + 0.224438i \(0.927945\pi\)
\(242\) 12.8709 + 6.70021i 0.827375 + 0.430706i
\(243\) −8.63837 + 12.9282i −0.554152 + 0.829346i
\(244\) 14.0089 14.6338i 0.896828 0.936833i
\(245\) 8.44079 + 12.9873i 0.539262 + 0.829727i
\(246\) 5.50973 + 10.0429i 0.351287 + 0.640315i
\(247\) −20.6018 8.53355i −1.31086 0.542977i
\(248\) −2.59301 + 9.67704i −0.164656 + 0.614493i
\(249\) 7.08135 + 2.93319i 0.448762 + 0.185883i
\(250\) 11.9444 + 10.3601i 0.755428 + 0.655232i
\(251\) 26.5642 + 5.28396i 1.67672 + 0.333520i 0.939609 0.342250i \(-0.111189\pi\)
0.737112 + 0.675771i \(0.236189\pi\)
\(252\) 0.571300 + 0.815907i 0.0359885 + 0.0513973i
\(253\) 1.01389 + 5.09717i 0.0637427 + 0.320456i
\(254\) 5.08982 + 6.06583i 0.319364 + 0.380604i
\(255\) −0.177434 + 13.9437i −0.0111113 + 0.873186i
\(256\) 12.2566 + 10.2848i 0.766036 + 0.642798i
\(257\) 14.6870 + 14.6870i 0.916149 + 0.916149i 0.996747 0.0805973i \(-0.0256828\pi\)
−0.0805973 + 0.996747i \(0.525683\pi\)
\(258\) 11.3475 + 0.992797i 0.706465 + 0.0618089i
\(259\) −0.360342 + 0.539290i −0.0223906 + 0.0335099i
\(260\) −11.6955 + 7.96936i −0.725321 + 0.494239i
\(261\) 0.343779 1.72830i 0.0212794 0.106979i
\(262\) 12.0588 15.0249i 0.744996 0.928242i
\(263\) 24.0412 9.95819i 1.48244 0.614048i 0.512786 0.858516i \(-0.328613\pi\)
0.969657 + 0.244468i \(0.0786134\pi\)
\(264\) 2.26565 1.30806i 0.139441 0.0805055i
\(265\) −20.7006 8.88470i −1.27163 0.545783i
\(266\) −2.36063 + 1.29508i −0.144740 + 0.0794065i
\(267\) 2.01753 10.1428i 0.123471 0.620729i
\(268\) 0.0724784 + 3.32214i 0.00442732 + 0.202932i
\(269\) −23.2673 + 4.62816i −1.41863 + 0.282184i −0.844051 0.536262i \(-0.819836\pi\)
−0.574583 + 0.818446i \(0.694836\pi\)
\(270\) −15.7720 + 4.75310i −0.959854 + 0.289264i
\(271\) −4.34621 + 4.34621i −0.264013 + 0.264013i −0.826682 0.562669i \(-0.809775\pi\)
0.562669 + 0.826682i \(0.309775\pi\)
\(272\) −21.7941 7.93256i −1.32146 0.480982i
\(273\) 0.919666i 0.0556607i
\(274\) −3.22205 1.67730i −0.194651 0.101329i
\(275\) 0.731275 + 4.23721i 0.0440975 + 0.255513i
\(276\) −12.1159 4.71165i −0.729290 0.283608i
\(277\) 0.617412 3.10394i 0.0370967 0.186498i −0.957794 0.287455i \(-0.907191\pi\)
0.994891 + 0.100958i \(0.0321907\pi\)
\(278\) 13.8457 + 25.2374i 0.830409 + 1.51364i
\(279\) 6.03167 2.49840i 0.361106 0.149575i
\(280\) −0.133462 + 1.70365i −0.00797585 + 0.101812i
\(281\) −20.7435 8.59222i −1.23745 0.512569i −0.334534 0.942384i \(-0.608579\pi\)
−0.902917 + 0.429815i \(0.858579\pi\)
\(282\) 14.9498 1.63725i 0.890248 0.0974965i
\(283\) 8.29495 + 12.4143i 0.493083 + 0.737952i 0.991658 0.128895i \(-0.0411431\pi\)
−0.498575 + 0.866847i \(0.666143\pi\)
\(284\) −7.85639 5.00511i −0.466191 0.296999i
\(285\) −3.09441 16.6619i −0.183297 0.986968i
\(286\) −3.83408 0.335445i −0.226714 0.0198353i
\(287\) −1.43884 1.43884i −0.0849318 0.0849318i
\(288\) 0.454887 10.4167i 0.0268045 0.613808i
\(289\) 16.6193 0.977603
\(290\) 2.34050 1.91369i 0.137439 0.112376i
\(291\) 7.45822 11.1620i 0.437209 0.654329i
\(292\) 14.3268 + 9.12724i 0.838412 + 0.534131i
\(293\) 13.6709 9.13458i 0.798660 0.533648i −0.0879719 0.996123i \(-0.528039\pi\)
0.886632 + 0.462475i \(0.153039\pi\)
\(294\) −8.21718 6.59500i −0.479236 0.384628i
\(295\) 6.84514 + 2.93794i 0.398539 + 0.171053i
\(296\) 6.42927 2.18241i 0.373694 0.126850i
\(297\) −4.13868 1.71430i −0.240151 0.0994736i
\(298\) −2.53401 4.61890i −0.146791 0.267566i
\(299\) 10.6250 + 15.9015i 0.614462 + 0.919608i
\(300\) −9.92182 4.15207i −0.572836 0.239720i
\(301\) −1.98454 + 0.394750i −0.114387 + 0.0227530i
\(302\) −12.7312 + 4.01411i −0.732599 + 0.230986i
\(303\) −16.7081 −0.959853
\(304\) 27.8577 + 4.28790i 1.59775 + 0.245928i
\(305\) −15.8105 16.2181i −0.905306 0.928643i
\(306\) 4.54481 + 14.4144i 0.259810 + 0.824016i
\(307\) −13.8056 9.22461i −0.787928 0.526476i 0.0952845 0.995450i \(-0.469624\pi\)
−0.883212 + 0.468974i \(0.844624\pi\)
\(308\) −0.321361 + 0.335695i −0.0183112 + 0.0191280i
\(309\) 8.12356 + 12.1578i 0.462133 + 0.691631i
\(310\) 10.7127 + 3.27094i 0.608441 + 0.185777i
\(311\) −21.0907 + 8.73606i −1.19594 + 0.495377i −0.889687 0.456572i \(-0.849077\pi\)
−0.306258 + 0.951948i \(0.599077\pi\)
\(312\) 5.86067 7.63770i 0.331795 0.432400i
\(313\) 12.7885 + 30.8743i 0.722851 + 1.74512i 0.665061 + 0.746789i \(0.268405\pi\)
0.0577903 + 0.998329i \(0.481595\pi\)
\(314\) −16.9751 + 1.85904i −0.957959 + 0.104912i
\(315\) 0.933724 0.606853i 0.0526094 0.0341923i
\(316\) −5.38415 7.68942i −0.302882 0.432564i
\(317\) 11.6666 2.32062i 0.655260 0.130339i 0.143746 0.989615i \(-0.454085\pi\)
0.511513 + 0.859275i \(0.329085\pi\)
\(318\) 15.2653 + 1.33556i 0.856034 + 0.0748947i
\(319\) 0.822166 0.0460324
\(320\) 11.9650 13.2980i 0.668866 0.743383i
\(321\) 3.57120 0.199325
\(322\) 2.30043 + 0.201266i 0.128198 + 0.0112161i
\(323\) −40.0718 + 7.97077i −2.22965 + 0.443506i
\(324\) 0.119851 0.0839202i 0.00665840 0.00466223i
\(325\) 8.45318 + 13.3758i 0.468898 + 0.741955i
\(326\) 20.2298 2.21549i 1.12042 0.122705i
\(327\) −2.16522 5.22731i −0.119737 0.289071i
\(328\) 2.78019 + 21.1185i 0.153510 + 1.16607i
\(329\) −2.46814 + 1.02234i −0.136073 + 0.0563632i
\(330\) −1.37411 2.58206i −0.0756424 0.142138i
\(331\) 11.7438 + 17.5758i 0.645495 + 0.966052i 0.999525 + 0.0308175i \(0.00981107\pi\)
−0.354030 + 0.935234i \(0.615189\pi\)
\(332\) 10.2956 + 9.85597i 0.565045 + 0.540917i
\(333\) −3.67885 2.45813i −0.201600 0.134705i
\(334\) −1.37591 4.36384i −0.0752862 0.238779i
\(335\) 3.71484 + 0.0472716i 0.202964 + 0.00258272i
\(336\) −0.276288 1.12913i −0.0150728 0.0615991i
\(337\) 4.68948 0.255452 0.127726 0.991809i \(-0.459232\pi\)
0.127726 + 0.991809i \(0.459232\pi\)
\(338\) 4.02643 1.26952i 0.219009 0.0690529i
\(339\) −5.78349 + 1.15041i −0.314116 + 0.0624816i
\(340\) −9.70498 + 24.0458i −0.526327 + 1.30406i
\(341\) 1.69230 + 2.53270i 0.0916430 + 0.137153i
\(342\) −8.83460 16.1034i −0.477720 0.870772i
\(343\) 3.47657 + 1.44004i 0.187717 + 0.0777549i
\(344\) 18.9969 + 9.36836i 1.02425 + 0.505108i
\(345\) −5.73240 + 13.3560i −0.308622 + 0.719061i
\(346\) 3.64104 + 2.92226i 0.195744 + 0.157102i
\(347\) 2.19890 1.46926i 0.118043 0.0788740i −0.495147 0.868809i \(-0.664886\pi\)
0.613190 + 0.789935i \(0.289886\pi\)
\(348\) −1.10499 + 1.73447i −0.0592337 + 0.0929776i
\(349\) −3.18128 + 4.76113i −0.170290 + 0.254857i −0.906792 0.421578i \(-0.861476\pi\)
0.736502 + 0.676436i \(0.236476\pi\)
\(350\) 1.89845 + 0.214898i 0.101476 + 0.0114868i
\(351\) −16.4848 −0.879892
\(352\) 4.80811 0.739998i 0.256273 0.0394420i
\(353\) 16.0408 + 16.0408i 0.853766 + 0.853766i 0.990595 0.136829i \(-0.0436910\pi\)
−0.136829 + 0.990595i \(0.543691\pi\)
\(354\) −5.04783 0.441636i −0.268289 0.0234727i
\(355\) −5.89586 + 8.58525i −0.312920 + 0.455658i
\(356\) 10.3324 16.2184i 0.547614 0.859575i
\(357\) 0.936147 + 1.40104i 0.0495461 + 0.0741510i
\(358\) −3.86936 + 0.423758i −0.204502 + 0.0223963i
\(359\) −13.4254 5.56100i −0.708567 0.293498i −0.000855679 1.00000i \(-0.500272\pi\)
−0.707712 + 0.706501i \(0.750272\pi\)
\(360\) −11.6217 0.910428i −0.612516 0.0479838i
\(361\) 28.3192 11.7302i 1.49049 0.617379i
\(362\) −11.5524 21.0574i −0.607183 1.10675i
\(363\) −2.15296 + 10.8236i −0.113001 + 0.568094i
\(364\) −0.619819 + 1.59385i −0.0324873 + 0.0835402i
\(365\) 10.7516 15.6559i 0.562764 0.819468i
\(366\) 13.6662 + 7.11422i 0.714346 + 0.371866i
\(367\) 26.2602i 1.37077i −0.728181 0.685385i \(-0.759634\pi\)
0.728181 0.685385i \(-0.240366\pi\)
\(368\) −17.8222 16.3312i −0.929045 0.851324i
\(369\) 9.81524 9.81524i 0.510961 0.510961i
\(370\) −2.19034 7.26811i −0.113870 0.377851i
\(371\) −2.66971 + 0.531038i −0.138604 + 0.0275701i
\(372\) −7.61753 + 0.166190i −0.394951 + 0.00861656i
\(373\) −0.894953 + 4.49923i −0.0463389 + 0.232961i −0.997013 0.0772289i \(-0.975393\pi\)
0.950674 + 0.310190i \(0.100393\pi\)
\(374\) −6.18239 + 3.39176i −0.319684 + 0.175384i
\(375\) −5.02244 + 10.9260i −0.259358 + 0.564217i
\(376\) 27.0125 + 7.23812i 1.39306 + 0.373277i
\(377\) 2.79519 1.15781i 0.143960 0.0596300i
\(378\) −1.24589 + 1.55234i −0.0640815 + 0.0798436i
\(379\) 5.43995 27.3485i 0.279432 1.40480i −0.544810 0.838559i \(-0.683398\pi\)
0.824242 0.566238i \(-0.191602\pi\)
\(380\) 5.86666 30.9618i 0.300953 1.58831i
\(381\) −3.34574 + 5.00726i −0.171408 + 0.256530i
\(382\) −26.7130 2.33713i −1.36675 0.119578i
\(383\) 7.53248 + 7.53248i 0.384892 + 0.384892i 0.872861 0.487969i \(-0.162262\pi\)
−0.487969 + 0.872861i \(0.662262\pi\)
\(384\) −4.90096 + 11.1379i −0.250101 + 0.568381i
\(385\) 0.362688 + 0.372038i 0.0184843 + 0.0189608i
\(386\) 16.0163 + 19.0876i 0.815210 + 0.971533i
\(387\) −2.69285 13.5379i −0.136885 0.688168i
\(388\) 20.4484 14.3180i 1.03811 0.726887i
\(389\) −10.8279 2.15381i −0.548997 0.109202i −0.0872046 0.996190i \(-0.527793\pi\)
−0.461792 + 0.886988i \(0.652793\pi\)
\(390\) −8.30785 6.84339i −0.420684 0.346528i
\(391\) 32.3729 + 13.4093i 1.63717 + 0.678137i
\(392\) −9.79617 16.9677i −0.494781 0.856996i
\(393\) 13.5368 + 5.60712i 0.682841 + 0.282842i
\(394\) 3.92284 + 7.15042i 0.197630 + 0.360233i
\(395\) −8.79977 + 5.71921i −0.442765 + 0.287765i
\(396\) −2.29000 2.19221i −0.115077 0.110163i
\(397\) 8.72775 13.0620i 0.438033 0.655563i −0.545117 0.838360i \(-0.683515\pi\)
0.983151 + 0.182797i \(0.0585150\pi\)
\(398\) 12.9300 + 6.73097i 0.648124 + 0.337393i
\(399\) −1.44799 1.44799i −0.0724903 0.0724903i
\(400\) −14.3969 13.8827i −0.719843 0.694137i
\(401\) 4.48275 4.48275i 0.223858 0.223858i −0.586263 0.810121i \(-0.699401\pi\)
0.810121 + 0.586263i \(0.199401\pi\)
\(402\) −2.41023 + 0.759939i −0.120211 + 0.0379023i
\(403\) 9.32009 + 6.22749i 0.464267 + 0.310213i
\(404\) −28.9562 11.2606i −1.44063 0.560234i
\(405\) −0.0891426 0.137158i −0.00442953 0.00681542i
\(406\) 0.102227 0.350722i 0.00507343 0.0174060i
\(407\) 0.789988 1.90720i 0.0391583 0.0945364i
\(408\) 1.15373 17.6012i 0.0571180 0.871387i
\(409\) −9.68119 + 23.3725i −0.478704 + 1.15569i 0.481513 + 0.876439i \(0.340088\pi\)
−0.960217 + 0.279255i \(0.909912\pi\)
\(410\) 23.7044 2.29118i 1.17068 0.113153i
\(411\) 0.538961 2.70954i 0.0265850 0.133652i
\(412\) 5.88484 + 26.5452i 0.289925 + 1.30779i
\(413\) 0.882803 0.175601i 0.0434399 0.00864074i
\(414\) −1.37296 + 15.6927i −0.0674775 + 0.771257i
\(415\) 11.4102 11.1235i 0.560106 0.546030i
\(416\) 15.3045 9.28680i 0.750363 0.455323i
\(417\) −15.4805 + 15.4805i −0.758081 + 0.758081i
\(418\) 6.56482 5.50852i 0.321096 0.269431i
\(419\) −11.4491 7.65007i −0.559327 0.373730i 0.243538 0.969891i \(-0.421692\pi\)
−0.802865 + 0.596161i \(0.796692\pi\)
\(420\) −1.27232 + 0.265124i −0.0620828 + 0.0129367i
\(421\) 5.88197 + 1.17000i 0.286670 + 0.0570221i 0.336331 0.941744i \(-0.390814\pi\)
−0.0496609 + 0.998766i \(0.515814\pi\)
\(422\) 1.67644 0.183597i 0.0816079 0.00893738i
\(423\) −6.97403 16.8368i −0.339089 0.818633i
\(424\) 25.5557 + 12.6028i 1.24109 + 0.612047i
\(425\) 26.4933 + 11.7724i 1.28511 + 0.571043i
\(426\) 1.98248 6.80153i 0.0960513 0.329535i
\(427\) −2.68426 0.533932i −0.129900 0.0258388i
\(428\) 6.18914 + 2.40685i 0.299163 + 0.116339i
\(429\) −0.571046 2.87084i −0.0275704 0.138606i
\(430\) 11.2013 20.8649i 0.540175 1.00619i
\(431\) −11.3022 11.3022i −0.544408 0.544408i 0.380410 0.924818i \(-0.375783\pi\)
−0.924818 + 0.380410i \(0.875783\pi\)
\(432\) 20.2393 4.95240i 0.973766 0.238272i
\(433\) −33.0546 −1.58850 −0.794251 0.607590i \(-0.792137\pi\)
−0.794251 + 0.607590i \(0.792137\pi\)
\(434\) 1.29082 0.406993i 0.0619615 0.0195363i
\(435\) 1.89539 + 1.30164i 0.0908768 + 0.0624090i
\(436\) −0.229481 10.5186i −0.0109902 0.503748i
\(437\) −41.7654 8.30766i −1.99791 0.397409i
\(438\) −3.61521 + 12.4032i −0.172742 + 0.592646i
\(439\) −0.818682 1.97647i −0.0390736 0.0943319i 0.903138 0.429350i \(-0.141257\pi\)
−0.942212 + 0.335018i \(0.891257\pi\)
\(440\) −0.641225 5.40099i −0.0305692 0.257482i
\(441\) −4.88598 + 11.7958i −0.232666 + 0.561705i
\(442\) −16.2424 + 20.2376i −0.772573 + 0.962603i
\(443\) −22.3961 + 14.9646i −1.06407 + 0.710988i −0.958980 0.283475i \(-0.908513\pi\)
−0.105089 + 0.994463i \(0.533513\pi\)
\(444\) 2.96176 + 4.22987i 0.140559 + 0.200741i
\(445\) −17.7231 12.1712i −0.840153 0.576969i
\(446\) −23.0888 27.5163i −1.09329 1.30293i
\(447\) 2.83320 2.83320i 0.134006 0.134006i
\(448\) 0.282162 2.14307i 0.0133309 0.101250i
\(449\) 4.70238i 0.221919i 0.993825 + 0.110959i \(0.0353924\pi\)
−0.993825 + 0.110959i \(0.964608\pi\)
\(450\) −1.46596 + 12.9505i −0.0691059 + 0.610494i
\(451\) 5.38490 + 3.59807i 0.253565 + 0.169427i
\(452\) −10.7985 1.90411i −0.507920 0.0895616i
\(453\) −5.64036 8.44140i −0.265007 0.396612i
\(454\) −1.63592 14.9377i −0.0767775 0.701061i
\(455\) 1.75698 + 0.754098i 0.0823686 + 0.0353527i
\(456\) 2.79789 + 21.2529i 0.131023 + 0.995257i
\(457\) 3.86609 9.33357i 0.180848 0.436606i −0.807294 0.590150i \(-0.799069\pi\)
0.988142 + 0.153544i \(0.0490686\pi\)
\(458\) −16.2594 4.73921i −0.759751 0.221449i
\(459\) −25.1133 + 16.7802i −1.17219 + 0.783232i
\(460\) −18.9360 + 19.2834i −0.882897 + 0.899094i
\(461\) −0.632600 3.18029i −0.0294631 0.148121i 0.963254 0.268594i \(-0.0865589\pi\)
−0.992717 + 0.120473i \(0.961559\pi\)
\(462\) −0.313500 0.163198i −0.0145853 0.00759267i
\(463\) 35.5622i 1.65272i −0.563145 0.826358i \(-0.690409\pi\)
0.563145 0.826358i \(-0.309591\pi\)
\(464\) −3.08399 + 2.26125i −0.143171 + 0.104976i
\(465\) −0.108392 + 8.51800i −0.00502656 + 0.395013i
\(466\) 13.5232 + 7.03976i 0.626450 + 0.326110i
\(467\) −18.0323 + 26.9872i −0.834435 + 1.24882i 0.131831 + 0.991272i \(0.457914\pi\)
−0.966266 + 0.257547i \(0.917086\pi\)
\(468\) −10.8727 4.22819i −0.502589 0.195448i
\(469\) 0.373263 0.249406i 0.0172357 0.0115165i
\(470\) 9.13050 29.9034i 0.421158 1.37934i
\(471\) −4.97002 11.9987i −0.229007 0.552871i
\(472\) −8.45059 4.16742i −0.388970 0.191821i
\(473\) 5.94986 2.46451i 0.273575 0.113318i
\(474\) 4.46857 5.56770i 0.205248 0.255733i
\(475\) −34.3692 7.75054i −1.57697 0.355619i
\(476\) 0.678160 + 3.05903i 0.0310834 + 0.140210i
\(477\) −3.62256 18.2118i −0.165866 0.833863i
\(478\) −16.3569 19.4935i −0.748149 0.891612i
\(479\) 7.47057i 0.341339i −0.985328 0.170670i \(-0.945407\pi\)
0.985328 0.170670i \(-0.0545931\pi\)
\(480\) 12.2560 + 5.90617i 0.559405 + 0.269579i
\(481\) 7.59657i 0.346374i
\(482\) 17.8395 14.9691i 0.812569 0.681824i
\(483\) 0.342625 + 1.72249i 0.0155900 + 0.0783761i
\(484\) −11.0259 + 17.3071i −0.501179 + 0.786687i
\(485\) −15.2090 23.4011i −0.690606 1.06259i
\(486\) −17.1489 13.7635i −0.777892 0.624326i
\(487\) 17.6089 7.29384i 0.797935 0.330515i 0.0538059 0.998551i \(-0.482865\pi\)
0.744129 + 0.668036i \(0.232865\pi\)
\(488\) 18.8898 + 21.5399i 0.855102 + 0.975067i
\(489\) 5.92295 + 14.2993i 0.267845 + 0.646635i
\(490\) −19.3373 + 10.2909i −0.873570 + 0.464893i
\(491\) 9.18371 6.13636i 0.414455 0.276930i −0.330811 0.943697i \(-0.607322\pi\)
0.745266 + 0.666767i \(0.232322\pi\)
\(492\) −14.8279 + 6.52440i −0.668495 + 0.294142i
\(493\) 3.07971 4.60911i 0.138703 0.207584i
\(494\) 14.5617 27.9726i 0.655162 1.25855i
\(495\) −2.53791 + 2.47413i −0.114071 + 0.111204i
\(496\) −13.3137 4.84589i −0.597803 0.217587i
\(497\) 1.25847i 0.0564501i
\(498\) −5.00522 + 9.61489i −0.224289 + 0.430854i
\(499\) 6.51708 + 32.7636i 0.291745 + 1.46670i 0.797131 + 0.603806i \(0.206350\pi\)
−0.505386 + 0.862893i \(0.668650\pi\)
\(500\) −16.0679 + 15.5506i −0.718580 + 0.695445i
\(501\) 2.89343 1.93333i 0.129269 0.0863748i
\(502\) −10.7185 + 36.7733i −0.478390 + 1.64127i
\(503\) −7.66784 + 18.5118i −0.341892 + 0.825400i 0.655633 + 0.755080i \(0.272402\pi\)
−0.997524 + 0.0703200i \(0.977598\pi\)
\(504\) −1.21989 + 0.704298i −0.0543384 + 0.0313719i
\(505\) −13.7001 + 31.9200i −0.609646 + 1.42042i
\(506\) −7.30603 + 0.800128i −0.324793 + 0.0355700i
\(507\) 1.78385 + 2.66972i 0.0792234 + 0.118566i
\(508\) −9.17310 + 6.42303i −0.406990 + 0.284976i
\(509\) −27.1136 18.1168i −1.20179 0.803011i −0.216901 0.976194i \(-0.569595\pi\)
−0.984890 + 0.173182i \(0.944595\pi\)
\(510\) −19.6224 1.96866i −0.868895 0.0871737i
\(511\) 2.29492i 0.101521i
\(512\) −16.0002 + 15.9998i −0.707117 + 0.707096i
\(513\) 25.9549 25.9549i 1.14594 1.14594i
\(514\) −22.5018 + 18.8812i −0.992512 + 0.832814i
\(515\) 29.8879 5.55070i 1.31702 0.244593i
\(516\) −2.79737 + 15.8644i −0.123147 + 0.698390i
\(517\) 7.06977 4.72387i 0.310928 0.207756i
\(518\) −0.715353 0.574134i −0.0314308 0.0252260i
\(519\) −1.35880 + 3.28042i −0.0596445 + 0.143995i
\(520\) −9.78591 17.4592i −0.429141 0.765638i
\(521\) −16.4975 39.8284i −0.722767 1.74491i −0.665312 0.746565i \(-0.731701\pi\)
−0.0574549 0.998348i \(-0.518299\pi\)
\(522\) 2.39250 + 0.697355i 0.104717 + 0.0305224i
\(523\) −4.13031 0.821571i −0.180606 0.0359248i 0.103959 0.994582i \(-0.466849\pi\)
−0.284565 + 0.958657i \(0.591849\pi\)
\(524\) 19.6812 + 18.8408i 0.859778 + 0.823064i
\(525\) 0.247121 + 1.43188i 0.0107852 + 0.0624925i
\(526\) 11.0661 + 35.0974i 0.482506 + 1.53032i
\(527\) 20.5375 0.894630
\(528\) 1.56357 + 3.35315i 0.0680458 + 0.145927i
\(529\) 9.56092 + 9.56092i 0.415692 + 0.415692i
\(530\) 15.0686 28.0685i 0.654538 1.21922i
\(531\) 1.19789 + 6.02218i 0.0519838 + 0.261340i
\(532\) −1.53358 3.48536i −0.0664892 0.151110i
\(533\) 23.3745 + 4.64947i 1.01246 + 0.201391i
\(534\) 14.0408 + 4.09255i 0.607606 + 0.177102i
\(535\) 2.92827 6.82262i 0.126600 0.294967i
\(536\) −4.68927 0.307374i −0.202545 0.0132765i
\(537\) −1.13289 2.73503i −0.0488876 0.118025i
\(538\) −3.65239 33.3502i −0.157466 1.43783i
\(539\) −5.84254 1.16215i −0.251656 0.0500575i
\(540\) −4.75227 22.8060i −0.204505 0.981413i
\(541\) 22.0987 + 14.7659i 0.950099 + 0.634836i 0.931015 0.364982i \(-0.118925\pi\)
0.0190843 + 0.999818i \(0.493925\pi\)
\(542\) −5.58736 6.65878i −0.239998 0.286019i
\(543\) 12.9164 12.9164i 0.554298 0.554298i
\(544\) 13.8620 29.7265i 0.594327 1.27451i
\(545\) −11.7620 0.149672i −0.503827 0.00641122i
\(546\) −1.29566 0.113357i −0.0554489 0.00485124i
\(547\) 32.2158 6.40812i 1.37745 0.273992i 0.549827 0.835278i \(-0.314693\pi\)
0.827621 + 0.561287i \(0.189693\pi\)
\(548\) 2.76018 4.33258i 0.117909 0.185079i
\(549\) 3.64230 18.3111i 0.155449 0.781497i
\(550\) −6.05965 + 0.507969i −0.258384 + 0.0216599i
\(551\) −2.57802 + 6.22390i −0.109827 + 0.265147i
\(552\) 8.13131 16.4885i 0.346092 0.701796i
\(553\) −0.485306 + 1.17163i −0.0206373 + 0.0498229i
\(554\) 4.29683 + 1.25242i 0.182555 + 0.0532102i
\(555\) 4.84066 3.14608i 0.205475 0.133544i
\(556\) −37.2619 + 16.3955i −1.58026 + 0.695324i
\(557\) 12.1015 + 8.08599i 0.512758 + 0.342614i 0.784879 0.619649i \(-0.212725\pi\)
−0.272121 + 0.962263i \(0.587725\pi\)
\(558\) 2.77636 + 8.80555i 0.117533 + 0.372769i
\(559\) 16.7576 16.7576i 0.708772 0.708772i
\(560\) −2.38370 0.398015i −0.100730 0.0168192i
\(561\) −3.79223 3.79223i −0.160108 0.160108i
\(562\) 14.6618 28.1650i 0.618471 1.18807i
\(563\) 18.3729 27.4969i 0.774324 1.15886i −0.209163 0.977881i \(-0.567074\pi\)
0.983487 0.180977i \(-0.0579261\pi\)
\(564\) 0.463903 + 21.2636i 0.0195338 + 0.895358i
\(565\) −2.54448 + 11.9924i −0.107047 + 0.504524i
\(566\) −18.5120 + 10.1560i −0.778119 + 0.426889i
\(567\) −0.0182617 0.00756423i −0.000766918 0.000317668i
\(568\) 8.01973 10.4514i 0.336500 0.438532i
\(569\) −27.2961 11.3064i −1.14431 0.473989i −0.271689 0.962385i \(-0.587582\pi\)
−0.872622 + 0.488396i \(0.837582\pi\)
\(570\) 23.8553 2.30577i 0.999188 0.0965779i
\(571\) 30.3382 + 6.03464i 1.26961 + 0.252542i 0.783521 0.621365i \(-0.213422\pi\)
0.486093 + 0.873907i \(0.338422\pi\)
\(572\) 0.945171 5.36023i 0.0395196 0.224122i
\(573\) −3.97861 20.0018i −0.166209 0.835589i
\(574\) 2.20443 1.84973i 0.0920110 0.0772062i
\(575\) 20.8156 + 21.9030i 0.868071 + 0.913417i
\(576\) 14.6193 + 1.92481i 0.609136 + 0.0802004i
\(577\) 6.75060 + 6.75060i 0.281031 + 0.281031i 0.833520 0.552489i \(-0.186322\pi\)
−0.552489 + 0.833520i \(0.686322\pi\)
\(578\) −2.04848 + 23.4137i −0.0852053 + 0.973883i
\(579\) −10.5282 + 15.7566i −0.437537 + 0.654820i
\(580\) 2.40758 + 3.53325i 0.0999693 + 0.146710i
\(581\) 0.375648 1.88851i 0.0155845 0.0783486i
\(582\) 14.8061 + 11.8832i 0.613733 + 0.492575i
\(583\) 8.00406 3.31539i 0.331494 0.137309i
\(584\) −14.6246 + 19.0590i −0.605172 + 0.788668i
\(585\) −5.14420 + 11.9855i −0.212686 + 0.495540i
\(586\) 11.1840 + 20.3859i 0.462008 + 0.842132i
\(587\) 6.09959 30.6647i 0.251757 1.26567i −0.623429 0.781880i \(-0.714261\pi\)
0.875186 0.483787i \(-0.160739\pi\)
\(588\) 10.3041 10.7637i 0.424934 0.443889i
\(589\) −24.4793 + 4.86924i −1.00865 + 0.200633i
\(590\) −4.98279 + 9.28152i −0.205138 + 0.382114i
\(591\) −4.38601 + 4.38601i −0.180417 + 0.180417i
\(592\) 2.28218 + 9.32676i 0.0937970 + 0.383328i
\(593\) 8.68900i 0.356814i 0.983957 + 0.178407i \(0.0570944\pi\)
−0.983957 + 0.178407i \(0.942906\pi\)
\(594\) 2.92529 5.61940i 0.120026 0.230567i
\(595\) 3.44424 0.639655i 0.141200 0.0262233i
\(596\) 6.81959 3.00067i 0.279341 0.122912i
\(597\) −2.16284 + 10.8733i −0.0885192 + 0.445016i
\(598\) −23.7122 + 13.0089i −0.969663 + 0.531973i
\(599\) 35.4461 14.6822i 1.44829 0.599900i 0.486496 0.873683i \(-0.338275\pi\)
0.961792 + 0.273782i \(0.0882748\pi\)
\(600\) 7.07253 13.4664i 0.288735 0.549763i
\(601\) −9.18193 3.80328i −0.374539 0.155139i 0.187470 0.982270i \(-0.439971\pi\)
−0.562009 + 0.827131i \(0.689971\pi\)
\(602\) −0.311523 2.84454i −0.0126967 0.115935i
\(603\) 1.70136 + 2.54627i 0.0692849 + 0.103692i
\(604\) −4.08597 18.4309i −0.166256 0.749943i
\(605\) 18.9127 + 12.9882i 0.768912 + 0.528045i
\(606\) 2.05942 23.5388i 0.0836582 0.956200i
\(607\) 33.8432 + 33.8432i 1.37365 + 1.37365i 0.854962 + 0.518691i \(0.173580\pi\)
0.518691 + 0.854962i \(0.326420\pi\)
\(608\) −9.47466 + 38.7184i −0.384248 + 1.57024i
\(609\) 0.277835 0.0112585
\(610\) 24.7973 20.2753i 1.00401 0.820923i
\(611\) 17.3834 26.0161i 0.703257 1.05250i
\(612\) −20.8676 + 4.62617i −0.843524 + 0.187002i
\(613\) −11.1517 + 7.45133i −0.450413 + 0.300956i −0.760010 0.649912i \(-0.774806\pi\)
0.309597 + 0.950868i \(0.399806\pi\)
\(614\) 14.6976 18.3128i 0.593147 0.739043i
\(615\) 6.71769 + 16.8201i 0.270883 + 0.678254i
\(616\) −0.433328 0.494120i −0.0174593 0.0199087i
\(617\) 3.79169 + 1.57057i 0.152648 + 0.0632287i 0.457699 0.889107i \(-0.348674\pi\)
−0.305051 + 0.952336i \(0.598674\pi\)
\(618\) −18.1295 + 9.94617i −0.729277 + 0.400094i
\(619\) 8.16039 + 12.2129i 0.327994 + 0.490877i 0.958416 0.285375i \(-0.0921182\pi\)
−0.630422 + 0.776252i \(0.717118\pi\)
\(620\) −5.92864 + 14.6892i −0.238100 + 0.589933i
\(621\) −30.8752 + 6.14146i −1.23898 + 0.246448i
\(622\) −9.70802 30.7901i −0.389256 1.23457i
\(623\) −2.59794 −0.104084
\(624\) 10.0379 + 9.19812i 0.401836 + 0.368219i
\(625\) 16.7554 + 18.5541i 0.670217 + 0.742166i
\(626\) −45.0730 + 14.2114i −1.80148 + 0.568001i
\(627\) 5.41917 + 3.62097i 0.216421 + 0.144608i
\(628\) −0.526749 24.1442i −0.0210196 0.963457i
\(629\) −7.73270 11.5728i −0.308323 0.461438i
\(630\) 0.739864 + 1.39026i 0.0294769 + 0.0553893i
\(631\) 16.9819 7.03415i 0.676040 0.280025i −0.0181304 0.999836i \(-0.505771\pi\)
0.694170 + 0.719811i \(0.255771\pi\)
\(632\) 11.4967 6.63758i 0.457316 0.264029i
\(633\) 0.490834 + 1.18498i 0.0195089 + 0.0470987i
\(634\) 1.83136 + 16.7223i 0.0727325 + 0.664126i
\(635\) 6.82274 + 10.4977i 0.270752 + 0.416588i
\(636\) −3.76317 + 21.3416i −0.149219 + 0.846249i
\(637\) −21.5000 + 4.27661i −0.851860 + 0.169446i
\(638\) −0.101339 + 1.15829i −0.00401207 + 0.0458573i
\(639\) −8.58484 −0.339611
\(640\) 17.2599 + 18.4958i 0.682257 + 0.731112i
\(641\) −30.5684 −1.20738 −0.603690 0.797219i \(-0.706303\pi\)
−0.603690 + 0.797219i \(0.706303\pi\)
\(642\) −0.440183 + 5.03122i −0.0173726 + 0.198566i
\(643\) −15.2266 + 3.02876i −0.600479 + 0.119443i −0.485964 0.873979i \(-0.661531\pi\)
−0.114515 + 0.993422i \(0.536531\pi\)
\(644\) −0.567099 + 3.21611i −0.0223468 + 0.126733i
\(645\) 17.6183 + 3.73816i 0.693721 + 0.147190i
\(646\) −6.29026 57.4369i −0.247487 2.25982i
\(647\) −12.7053 30.6733i −0.499496 1.20589i −0.949755 0.312993i \(-0.898668\pi\)
0.450259 0.892898i \(-0.351332\pi\)
\(648\) 0.103457 + 0.179194i 0.00406416 + 0.00703941i
\(649\) −2.64673 + 1.09631i −0.103893 + 0.0430341i
\(650\) −19.8862 + 10.2604i −0.780000 + 0.402447i
\(651\) 0.571879 + 0.855878i 0.0224137 + 0.0335445i
\(652\) 0.627745 + 28.7734i 0.0245844 + 1.12685i
\(653\) 7.23797 + 4.83626i 0.283244 + 0.189257i 0.689074 0.724691i \(-0.258018\pi\)
−0.405830 + 0.913949i \(0.633018\pi\)
\(654\) 7.63128 2.40612i 0.298407 0.0940867i
\(655\) 21.8119 21.2638i 0.852262 0.830844i
\(656\) −30.0950 + 1.31378i −1.17501 + 0.0512945i
\(657\) 15.6552 0.610767
\(658\) −1.13608 3.60320i −0.0442890 0.140468i
\(659\) 23.5495 4.68428i 0.917356 0.182474i 0.286237 0.958159i \(-0.407596\pi\)
0.631120 + 0.775685i \(0.282596\pi\)
\(660\) 3.80706 1.61763i 0.148190 0.0629662i
\(661\) −0.751779 1.12512i −0.0292408 0.0437620i 0.816561 0.577259i \(-0.195878\pi\)
−0.845802 + 0.533497i \(0.820878\pi\)
\(662\) −26.2088 + 14.3786i −1.01863 + 0.558840i
\(663\) −18.2332 7.55242i −0.708117 0.293312i
\(664\) −15.1544 + 13.2900i −0.588106 + 0.515750i
\(665\) −3.95364 + 1.57902i −0.153315 + 0.0612316i
\(666\) 3.91654 4.87989i 0.151763 0.189092i
\(667\) 4.80392 3.20987i 0.186008 0.124287i
\(668\) 6.31751 1.40054i 0.244432 0.0541884i
\(669\) 15.1772 22.7143i 0.586786 0.878187i
\(670\) −0.524486 + 5.22776i −0.0202627 + 0.201966i
\(671\) 8.71074 0.336274
\(672\) 1.62481 0.250068i 0.0626784 0.00964660i
\(673\) 21.8943 + 21.8943i 0.843962 + 0.843962i 0.989372 0.145410i \(-0.0464500\pi\)
−0.145410 + 0.989372i \(0.546450\pi\)
\(674\) −0.578021 + 6.60668i −0.0222645 + 0.254480i
\(675\) −25.6661 + 4.42957i −0.987890 + 0.170494i
\(676\) 1.29225 + 5.82904i 0.0497018 + 0.224194i
\(677\) 18.2779 + 27.3548i 0.702477 + 1.05133i 0.995457 + 0.0952121i \(0.0303529\pi\)
−0.292980 + 0.956118i \(0.594647\pi\)
\(678\) −0.907863 8.28976i −0.0348663 0.318366i
\(679\) −3.11571 1.29057i −0.119570 0.0495275i
\(680\) −32.6802 16.6365i −1.25323 0.637983i
\(681\) 10.5586 4.37351i 0.404606 0.167593i
\(682\) −3.77674 + 2.07198i −0.144619 + 0.0793403i
\(683\) −0.356763 + 1.79357i −0.0136512 + 0.0686290i −0.987010 0.160656i \(-0.948639\pi\)
0.973359 + 0.229285i \(0.0736389\pi\)
\(684\) 23.7759 10.4616i 0.909096 0.400008i
\(685\) −4.73453 3.25140i −0.180897 0.124230i
\(686\) −2.45729 + 4.72040i −0.0938199 + 0.180226i
\(687\) 12.8804i 0.491417i
\(688\) −15.5400 + 25.6087i −0.592456 + 0.976324i
\(689\) 22.5433 22.5433i 0.858830 0.858830i
\(690\) −18.1098 9.72223i −0.689426 0.370119i
\(691\) 21.3526 4.24729i 0.812291 0.161575i 0.228568 0.973528i \(-0.426596\pi\)
0.583722 + 0.811953i \(0.301596\pi\)
\(692\) −4.56576 + 4.76943i −0.173564 + 0.181306i
\(693\) −0.0835533 + 0.420051i −0.00317393 + 0.0159564i
\(694\) 1.79891 + 3.27899i 0.0682855 + 0.124469i
\(695\) 16.8812 + 42.2682i 0.640342 + 1.60333i
\(696\) −2.30738 1.77054i −0.0874611 0.0671120i
\(697\) 40.3420 16.7102i 1.52806 0.632945i
\(698\) −6.31550 5.06874i −0.239045 0.191855i
\(699\) −2.26206 + 11.3722i −0.0855590 + 0.430134i
\(700\) −0.536755 + 2.64810i −0.0202874 + 0.100089i
\(701\) −24.3925 + 36.5060i −0.921293 + 1.37881i 0.00417727 + 0.999991i \(0.498670\pi\)
−0.925470 + 0.378821i \(0.876330\pi\)
\(702\) 2.03190 23.2243i 0.0766891 0.876544i
\(703\) 11.9606 + 11.9606i 0.451103 + 0.451103i
\(704\) 0.449890 + 6.86503i 0.0169559 + 0.258735i
\(705\) 23.7771 + 0.302565i 0.895498 + 0.0113953i
\(706\) −24.5760 + 20.6216i −0.924929 + 0.776105i
\(707\) 0.818854 + 4.11666i 0.0307962 + 0.154823i
\(708\) 1.24438 7.05710i 0.0467667 0.265222i
\(709\) −37.3364 7.42667i −1.40220 0.278914i −0.564673 0.825315i \(-0.690998\pi\)
−0.837524 + 0.546400i \(0.815998\pi\)
\(710\) −11.3685 9.36448i −0.426650 0.351443i
\(711\) −7.99247 3.31059i −0.299741 0.124157i
\(712\) 21.5755 + 16.5556i 0.808576 + 0.620448i
\(713\) 19.7762 + 8.19156i 0.740623 + 0.306776i
\(714\) −2.08922 + 1.14618i −0.0781872 + 0.0428948i
\(715\) −5.95285 1.26304i −0.222624 0.0472352i
\(716\) −0.120069 5.50351i −0.00448719 0.205676i
\(717\) 10.7521 16.0916i 0.401544 0.600952i
\(718\) 9.48932 18.2287i 0.354138 0.680290i
\(719\) −14.0317 14.0317i −0.523292 0.523292i 0.395272 0.918564i \(-0.370650\pi\)
−0.918564 + 0.395272i \(0.870650\pi\)
\(720\) 2.71512 16.2608i 0.101187 0.606003i
\(721\) 2.59739 2.59739i 0.0967318 0.0967318i
\(722\) 13.0353 + 41.3429i 0.485123 + 1.53862i
\(723\) 14.7263 + 9.83980i 0.547677 + 0.365946i
\(724\) 31.0903 13.6799i 1.15546 0.508410i
\(725\) 4.04089 2.55374i 0.150075 0.0948436i
\(726\) −14.9833 4.36727i −0.556083 0.162085i
\(727\) −6.18775 + 14.9386i −0.229491 + 0.554040i −0.996116 0.0880552i \(-0.971935\pi\)
0.766625 + 0.642096i \(0.221935\pi\)
\(728\) −2.16906 1.06968i −0.0803908 0.0396448i
\(729\) 6.48377 15.6532i 0.240140 0.579749i
\(730\) 20.7313 + 17.0769i 0.767300 + 0.632045i
\(731\) 8.47107 42.5869i 0.313314 1.57513i
\(732\) −11.7072 + 18.3765i −0.432712 + 0.679216i
\(733\) −49.8510 + 9.91599i −1.84129 + 0.366255i −0.987909 0.155033i \(-0.950452\pi\)
−0.853381 + 0.521288i \(0.825452\pi\)
\(734\) 36.9962 + 3.23681i 1.36555 + 0.119473i
\(735\) −11.6292 11.9290i −0.428951 0.440008i
\(736\) 25.2047 23.0955i 0.929058 0.851310i
\(737\) −1.01032 + 1.01032i −0.0372156 + 0.0372156i
\(738\) 12.6182 + 15.0378i 0.464482 + 0.553550i
\(739\) 22.9770 + 15.3528i 0.845224 + 0.564760i 0.901067 0.433679i \(-0.142785\pi\)
−0.0558438 + 0.998440i \(0.517785\pi\)
\(740\) 10.5095 2.18996i 0.386338 0.0805045i
\(741\) 23.5232 + 4.67906i 0.864148 + 0.171890i
\(742\) −0.419078 3.82663i −0.0153848 0.140480i
\(743\) 1.95123 + 4.71070i 0.0715838 + 0.172819i 0.955622 0.294597i \(-0.0951853\pi\)
−0.884038 + 0.467415i \(0.845185\pi\)
\(744\) 0.704796 10.7523i 0.0258391 0.394199i
\(745\) −3.08956 7.73584i −0.113193 0.283419i
\(746\) −6.22835 1.81541i −0.228036 0.0664669i
\(747\) 12.8828 + 2.56254i 0.471356 + 0.0937585i
\(748\) −4.01639 9.12802i −0.146854 0.333753i
\(749\) −0.175023 0.879899i −0.00639519 0.0321508i
\(750\) −14.7739 8.42250i −0.539465 0.307546i
\(751\) −29.7373 29.7373i −1.08513 1.08513i −0.996022 0.0891071i \(-0.971599\pi\)
−0.0891071 0.996022i \(-0.528401\pi\)
\(752\) −13.5268 + 37.1639i −0.493273 + 1.35523i
\(753\) −29.1311 −1.06160
\(754\) 1.28662 + 4.08066i 0.0468560 + 0.148609i
\(755\) −20.7518 + 3.85398i −0.755237 + 0.140261i
\(756\) −2.03342 1.94658i −0.0739546 0.0707966i
\(757\) −47.8165 9.51128i −1.73792 0.345693i −0.778493 0.627654i \(-0.784015\pi\)
−0.959426 + 0.281960i \(0.909015\pi\)
\(758\) 37.8589 + 11.0349i 1.37510 + 0.400807i
\(759\) −2.13908 5.16421i −0.0776439 0.187449i
\(760\) 42.8968 + 12.0815i 1.55603 + 0.438241i
\(761\) −18.7815 + 45.3426i −0.680830 + 1.64367i 0.0816541 + 0.996661i \(0.473980\pi\)
−0.762484 + 0.647007i \(0.776020\pi\)
\(762\) −6.64199 5.33078i −0.240614 0.193114i
\(763\) −1.18183 + 0.789671i −0.0427850 + 0.0285880i
\(764\) 6.58523 37.3460i 0.238245 1.35113i
\(765\) 4.36350 + 23.4954i 0.157763 + 0.849479i
\(766\) −11.5404 + 9.68355i −0.416973 + 0.349881i
\(767\) −7.45447 + 7.45447i −0.269165 + 0.269165i
\(768\) −15.0874 8.27748i −0.544419 0.298688i
\(769\) 1.03027i 0.0371526i 0.999827 + 0.0185763i \(0.00591336\pi\)
−0.999827 + 0.0185763i \(0.994087\pi\)
\(770\) −0.568843 + 0.465110i −0.0204997 + 0.0167614i
\(771\) −18.5749 12.4114i −0.668960 0.446985i
\(772\) −28.8654 + 20.2116i −1.03889 + 0.727432i
\(773\) −16.2461 24.3141i −0.584333 0.874517i 0.415044 0.909801i \(-0.363766\pi\)
−0.999377 + 0.0352847i \(0.988766\pi\)
\(774\) 19.4045 2.12510i 0.697479 0.0763853i
\(775\) 16.1844 + 7.19157i 0.581360 + 0.258329i
\(776\) 17.6512 + 30.5732i 0.633642 + 1.09751i
\(777\) 0.266962 0.644502i 0.00957719 0.0231214i
\(778\) 4.36899 14.9892i 0.156636 0.537390i
\(779\) −44.1230 + 29.4821i −1.58087 + 1.05630i
\(780\) 10.6652 10.8609i 0.381875 0.388881i
\(781\) −0.781418 3.92845i −0.0279613 0.140571i
\(782\) −22.8817 + 43.9552i −0.818248 + 1.57183i
\(783\) 4.98012i 0.177975i
\(784\) 25.1120 11.7097i 0.896858 0.418205i
\(785\) −26.9982 0.343554i −0.963608 0.0122620i
\(786\) −9.56803 + 18.3799i −0.341280 + 0.655591i
\(787\) −18.2559 + 27.3218i −0.650751 + 0.973917i 0.348578 + 0.937280i \(0.386665\pi\)
−0.999329 + 0.0366376i \(0.988335\pi\)
\(788\) −10.5573 + 4.64527i −0.376087 + 0.165481i
\(789\) −23.2713 + 15.5494i −0.828479 + 0.553572i
\(790\) −6.97276 13.1023i −0.248080 0.466160i
\(791\) 0.566892 + 1.36860i 0.0201564 + 0.0486618i
\(792\) 3.37072 2.95601i 0.119773 0.105037i
\(793\) 29.6147 12.2668i 1.05165 0.435607i
\(794\) 17.3264 + 13.9059i 0.614891 + 0.493504i
\(795\) 23.7011 + 5.02877i 0.840591 + 0.178352i
\(796\) −11.0766 + 17.3866i −0.392598 + 0.616251i
\(797\) 4.61730 + 23.2127i 0.163553 + 0.822237i 0.972238 + 0.233995i \(0.0751798\pi\)
−0.808685 + 0.588242i \(0.799820\pi\)
\(798\) 2.21846 1.86150i 0.0785325 0.0658964i
\(799\) 57.3285i 2.02814i
\(800\) 21.3330 18.5716i 0.754235 0.656605i
\(801\) 17.7222i 0.626184i
\(802\) 5.76290 + 6.86798i 0.203495 + 0.242517i
\(803\) 1.42498 + 7.16386i 0.0502865 + 0.252807i
\(804\) −0.773543 3.48928i −0.0272807 0.123057i
\(805\) 3.57169 + 0.757821i 0.125885 + 0.0267097i
\(806\) −9.92227 + 12.3628i −0.349497 + 0.435463i
\(807\) 23.5733 9.76440i 0.829821 0.343723i
\(808\) 19.4334 39.4065i 0.683663 1.38631i
\(809\) −3.60785 8.71011i −0.126845 0.306231i 0.847681 0.530507i \(-0.177998\pi\)
−0.974526 + 0.224276i \(0.927998\pi\)
\(810\) 0.204220 0.108681i 0.00717555 0.00381866i
\(811\) −31.9261 + 21.3323i −1.12108 + 0.749079i −0.970877 0.239577i \(-0.922991\pi\)
−0.150199 + 0.988656i \(0.547991\pi\)
\(812\) 0.481508 + 0.187250i 0.0168976 + 0.00657119i
\(813\) 3.67280 5.49674i 0.128811 0.192779i
\(814\) 2.58955 + 1.34804i 0.0907637 + 0.0472488i
\(815\) 32.1747 + 0.409425i 1.12703 + 0.0143415i
\(816\) 24.6549 + 3.79491i 0.863093 + 0.132848i
\(817\) 52.7690i 1.84615i
\(818\) −31.7346 16.5200i −1.10957 0.577610i
\(819\) 0.307468 + 1.54575i 0.0107438 + 0.0540128i
\(820\) 0.306106 + 33.6779i 0.0106897 + 1.17608i
\(821\) 18.3128 12.2362i 0.639121 0.427047i −0.193339 0.981132i \(-0.561932\pi\)
0.832460 + 0.554085i \(0.186932\pi\)
\(822\) 3.75086 + 1.09328i 0.130826 + 0.0381326i
\(823\) 7.25079 17.5049i 0.252747 0.610184i −0.745677 0.666307i \(-0.767874\pi\)
0.998424 + 0.0561231i \(0.0178739\pi\)
\(824\) −38.1231 + 5.01881i −1.32808 + 0.174838i
\(825\) −1.66051 4.31634i −0.0578115 0.150276i
\(826\) 0.138578 + 1.26537i 0.00482175 + 0.0440277i
\(827\) −2.19613 3.28673i −0.0763668 0.114291i 0.791320 0.611402i \(-0.209394\pi\)
−0.867687 + 0.497111i \(0.834394\pi\)
\(828\) −21.9392 3.86855i −0.762440 0.134441i
\(829\) 45.1060 + 30.1389i 1.56660 + 1.04677i 0.969653 + 0.244484i \(0.0786187\pi\)
0.596944 + 0.802283i \(0.296381\pi\)
\(830\) 14.2647 + 17.4462i 0.495135 + 0.605565i
\(831\) 3.40387i 0.118079i
\(832\) 11.1971 + 22.7061i 0.388190 + 0.787192i
\(833\) −28.4004 + 28.4004i −0.984014 + 0.984014i
\(834\) −19.9013 23.7175i −0.689124 0.821269i
\(835\) −1.32102 7.11305i −0.0457156 0.246157i
\(836\) 6.95141 + 9.92771i 0.240419 + 0.343357i
\(837\) −15.3414 + 10.2508i −0.530276 + 0.354319i
\(838\) 12.1889 15.1870i 0.421057 0.524625i
\(839\) −3.55254 + 8.57660i −0.122647 + 0.296097i −0.973264 0.229689i \(-0.926229\pi\)
0.850617 + 0.525787i \(0.176229\pi\)
\(840\) −0.216690 1.82516i −0.00747651 0.0629741i
\(841\) 10.7480 + 25.9481i 0.370622 + 0.894761i
\(842\) −2.37333 + 8.14249i −0.0817905 + 0.280609i
\(843\) 23.6850 + 4.71123i 0.815753 + 0.162263i
\(844\) 0.0520212 + 2.38445i 0.00179064 + 0.0820763i
\(845\) 6.56307 1.21888i 0.225776 0.0419306i
\(846\) 24.5798 7.74994i 0.845071 0.266448i
\(847\) 2.77233 0.0952583
\(848\) −20.9052 + 34.4502i −0.717888 + 1.18303i
\(849\) −11.3551 11.3551i −0.389708 0.389708i
\(850\) −19.8508 + 35.8735i −0.680877 + 1.23045i
\(851\) −2.83013 14.2280i −0.0970156 0.487730i
\(852\) 9.33785 + 3.63133i 0.319910 + 0.124407i
\(853\) −48.9048 9.72777i −1.67447 0.333073i −0.735618 0.677396i \(-0.763108\pi\)
−0.938851 + 0.344324i \(0.888108\pi\)
\(854\) 1.08308 3.71585i 0.0370622 0.127154i
\(855\) −10.7715 26.9703i −0.368378 0.922366i
\(856\) −4.15371 + 8.42279i −0.141971 + 0.287885i
\(857\) −13.0049 31.3967i −0.444240 1.07249i −0.974446 0.224621i \(-0.927886\pi\)
0.530206 0.847869i \(-0.322114\pi\)
\(858\) 4.11492 0.450650i 0.140481 0.0153849i
\(859\) −33.8208 6.72738i −1.15395 0.229535i −0.419215 0.907887i \(-0.637695\pi\)
−0.734737 + 0.678352i \(0.762695\pi\)
\(860\) 28.0144 + 18.3525i 0.955283 + 0.625816i
\(861\) 1.81972 + 1.21590i 0.0620161 + 0.0414378i
\(862\) 17.3160 14.5298i 0.589786 0.494887i
\(863\) −32.5642 + 32.5642i −1.10850 + 1.10850i −0.115151 + 0.993348i \(0.536735\pi\)
−0.993348 + 0.115151i \(0.963265\pi\)
\(864\) 4.48241 + 29.1243i 0.152495 + 0.990828i
\(865\) 5.15293 + 5.28576i 0.175205 + 0.179721i
\(866\) 4.07428 46.5684i 0.138450 1.58246i
\(867\) −17.5315 + 3.48723i −0.595400 + 0.118433i
\(868\) 0.414279 + 1.86872i 0.0140615 + 0.0634285i
\(869\) 0.787439 3.95872i 0.0267120 0.134290i
\(870\) −2.06742 + 2.50984i −0.0700921 + 0.0850915i
\(871\) −2.01210 + 4.85764i −0.0681774 + 0.164595i
\(872\) 14.8472 + 0.973208i 0.502788 + 0.0329570i
\(873\) 8.80381 21.2543i 0.297964 0.719348i
\(874\) 16.8521 57.8165i 0.570030 1.95567i
\(875\) 2.93818 + 0.701987i 0.0993286 + 0.0237315i
\(876\) −17.0284 6.62203i −0.575335 0.223738i
\(877\) 18.2898 + 12.2209i 0.617603 + 0.412669i 0.824635 0.565665i \(-0.191380\pi\)
−0.207032 + 0.978334i \(0.566380\pi\)
\(878\) 2.88543 0.909767i 0.0973785 0.0307031i
\(879\) −12.5045 + 12.5045i −0.421768 + 0.421768i
\(880\) 7.68812 0.237657i 0.259167 0.00801140i
\(881\) −30.4491 30.4491i −1.02586 1.02586i −0.999657 0.0261999i \(-0.991659\pi\)
−0.0261999 0.999657i \(-0.508341\pi\)
\(882\) −16.0161 8.33747i −0.539289 0.280737i
\(883\) 8.76445 13.1169i 0.294947 0.441420i −0.654168 0.756349i \(-0.726981\pi\)
0.949115 + 0.314930i \(0.101981\pi\)
\(884\) −26.5093 25.3773i −0.891604 0.853531i
\(885\) −7.83734 1.66288i −0.263449 0.0558972i
\(886\) −18.3220 33.3968i −0.615541 1.12199i
\(887\) −9.28350 3.84535i −0.311709 0.129114i 0.221344 0.975196i \(-0.428956\pi\)
−0.533054 + 0.846081i \(0.678956\pi\)
\(888\) −6.32424 + 3.65126i −0.212227 + 0.122528i
\(889\) 1.39770 + 0.578946i 0.0468773 + 0.0194172i
\(890\) 19.3317 23.4686i 0.647999 0.786669i
\(891\) 0.0617027 + 0.0122734i 0.00206712 + 0.000411175i
\(892\) 41.6118 29.1367i 1.39326 0.975568i
\(893\) 13.5920 + 68.3315i 0.454838 + 2.28663i
\(894\) 3.64228 + 4.34072i 0.121816 + 0.145175i
\(895\) −6.15408 0.0783111i −0.205708 0.00261765i
\(896\) 2.98444 + 0.661671i 0.0997032 + 0.0221049i
\(897\) −14.5449 14.5449i −0.485639 0.485639i
\(898\) −6.62486 0.579611i −0.221074 0.0193419i
\(899\) 1.88135 2.81564i 0.0627466 0.0939069i
\(900\) −18.0644 3.66156i −0.602148 0.122052i
\(901\) 11.3957 57.2902i 0.379647 1.90861i
\(902\) −5.73282 + 7.14292i −0.190882 + 0.237833i
\(903\) 2.01064 0.832835i 0.0669100 0.0277150i
\(904\) 4.01358 14.9786i 0.133490 0.498181i
\(905\) −14.0852 35.2674i −0.468208 1.17233i
\(906\) 12.5877 6.90584i 0.418200 0.229431i
\(907\) −0.669542 + 3.36601i −0.0222318 + 0.111767i −0.990308 0.138890i \(-0.955647\pi\)
0.968076 + 0.250657i \(0.0806465\pi\)
\(908\) 21.2464 0.463527i 0.705085 0.0153827i
\(909\) −28.0824 + 5.58594i −0.931434 + 0.185274i
\(910\) −1.27896 + 2.38234i −0.0423972 + 0.0789739i
\(911\) −26.4137 + 26.4137i −0.875125 + 0.875125i −0.993025 0.117900i \(-0.962384\pi\)
0.117900 + 0.993025i \(0.462384\pi\)
\(912\) −30.2866 + 1.32214i −1.00289 + 0.0437805i
\(913\) 6.12845i 0.202822i
\(914\) 12.6729 + 6.59712i 0.419182 + 0.218213i
\(915\) 20.0814 + 13.7907i 0.663869 + 0.455908i
\(916\) 8.68087 22.3226i 0.286824 0.737559i
\(917\) 0.718093 3.61010i 0.0237135 0.119216i
\(918\) −20.5450 37.4488i −0.678086 1.23599i
\(919\) −44.7081 + 18.5187i −1.47478 + 0.610876i −0.967944 0.251164i \(-0.919187\pi\)
−0.506840 + 0.862040i \(0.669187\pi\)
\(920\) −24.8331 29.0545i −0.818722 0.957900i
\(921\) 16.4990 + 6.83411i 0.543661 + 0.225192i
\(922\) 4.55847 0.499226i 0.150125 0.0164411i
\(923\) −8.18886 12.2555i −0.269540 0.403394i
\(924\) 0.268561 0.421553i 0.00883500 0.0138681i
\(925\) −2.04125 11.8275i −0.0671159 0.388887i
\(926\) 50.1012 + 4.38337i 1.64643 + 0.144046i
\(927\) 17.7185 + 17.7185i 0.581951 + 0.581951i
\(928\) −2.80558 4.62354i −0.0920978 0.151775i
\(929\) −8.04187 −0.263845 −0.131923 0.991260i \(-0.542115\pi\)
−0.131923 + 0.991260i \(0.542115\pi\)
\(930\) −11.9871 1.20263i −0.393071 0.0394357i
\(931\) 27.1178 40.5847i 0.888750 1.33011i
\(932\) −11.5847 + 18.1842i −0.379469 + 0.595643i
\(933\) 20.4153 13.6411i 0.668367 0.446588i
\(934\) −35.7978 28.7309i −1.17134 0.940103i
\(935\) −10.3544 + 4.13538i −0.338625 + 0.135241i
\(936\) 7.29696 14.7966i 0.238509 0.483642i
\(937\) −33.4911 13.8725i −1.09411 0.453194i −0.238671 0.971101i \(-0.576712\pi\)
−0.855437 + 0.517906i \(0.826712\pi\)
\(938\) 0.305364 + 0.556607i 0.00997047 + 0.0181738i
\(939\) −19.9689 29.8855i −0.651660 0.975278i
\(940\) 41.0035 + 16.5492i 1.33739 + 0.539776i
\(941\) −12.5506 + 2.49647i −0.409137 + 0.0813825i −0.395368 0.918523i \(-0.629383\pi\)
−0.0137691 + 0.999905i \(0.504383\pi\)
\(942\) 17.5167 5.52298i 0.570726 0.179948i
\(943\) 45.5115 1.48206
\(944\) 6.91281 11.3918i 0.224993 0.370771i
\(945\) −2.25355 + 2.19692i −0.0733081 + 0.0714658i
\(946\) 2.73871 + 8.68612i 0.0890431 + 0.282410i
\(947\) −7.03496 4.70061i −0.228606 0.152749i 0.435993 0.899950i \(-0.356397\pi\)
−0.664598 + 0.747201i \(0.731397\pi\)
\(948\) 7.29316 + 6.98173i 0.236871 + 0.226756i
\(949\) 14.9331 + 22.3489i 0.484748 + 0.725476i
\(950\) 15.1555 47.4651i 0.491710 1.53997i
\(951\) −11.8200 + 4.89600i −0.383290 + 0.158764i
\(952\) −4.39325 + 0.578360i −0.142386 + 0.0187448i
\(953\) 5.12570 + 12.3745i 0.166038 + 0.400850i 0.984896 0.173145i \(-0.0553929\pi\)
−0.818859 + 0.573995i \(0.805393\pi\)
\(954\) 26.1039 2.85880i 0.845146 0.0925571i
\(955\) −41.4750 8.79993i −1.34210 0.284759i
\(956\) 29.4792 20.6414i 0.953425 0.667591i
\(957\) −0.867294 + 0.172516i −0.0280356 + 0.00557664i
\(958\) 10.5248 + 0.920816i 0.340040 + 0.0297502i
\(959\) −0.694011 −0.0224108
\(960\) −9.83146 + 16.5386i −0.317309 + 0.533781i
\(961\) −18.4539 −0.595287
\(962\) 10.7023 + 0.936347i 0.345056 + 0.0301890i
\(963\) 6.00236 1.19394i 0.193424 0.0384743i
\(964\) 18.8901 + 26.9780i 0.608408 + 0.868903i
\(965\) 21.4694 + 33.0335i 0.691124 + 1.06339i
\(966\) −2.46893 + 0.270388i −0.0794366 + 0.00869960i
\(967\) 7.41891 + 17.9108i 0.238576 + 0.575974i 0.997136 0.0756296i \(-0.0240967\pi\)
−0.758560 + 0.651603i \(0.774097\pi\)
\(968\) −23.0238 17.6669i −0.740012 0.567837i
\(969\) 40.5988 16.8166i 1.30422 0.540226i
\(970\) 34.8429 18.5426i 1.11874 0.595366i
\(971\) −8.59387 12.8616i −0.275790 0.412749i 0.667556 0.744560i \(-0.267341\pi\)
−0.943346 + 0.331810i \(0.892341\pi\)
\(972\) 21.5043 22.4635i 0.689750 0.720517i
\(973\) 4.57288 + 3.05550i 0.146600 + 0.0979549i
\(974\) 8.10534 + 25.7070i 0.259712 + 0.823705i
\(975\) −11.7238 12.3362i −0.375463 0.395076i
\(976\) −32.6745 + 23.9576i −1.04589 + 0.766864i
\(977\) 44.8881 1.43610 0.718048 0.695994i \(-0.245036\pi\)
0.718048 + 0.695994i \(0.245036\pi\)
\(978\) −20.8753 + 6.58192i −0.667519 + 0.210467i
\(979\) 8.10975 1.61313i 0.259189 0.0515558i
\(980\) −12.1146 28.5114i −0.386986 0.910764i
\(981\) −5.38686 8.06201i −0.171989 0.257400i
\(982\) 7.51312 + 13.6947i 0.239753 + 0.437014i
\(983\) 12.8792 + 5.33475i 0.410783 + 0.170152i 0.578499 0.815683i \(-0.303639\pi\)
−0.167715 + 0.985836i \(0.553639\pi\)
\(984\) −7.36410 21.6943i −0.234759 0.691588i
\(985\) 4.78289 + 11.9757i 0.152395 + 0.381577i
\(986\) 6.11386 + 4.90691i 0.194705 + 0.156268i
\(987\) 2.38910 1.59634i 0.0760458 0.0508122i
\(988\) 37.6139 + 23.9629i 1.19666 + 0.762360i
\(989\) 25.1432 37.6294i 0.799506 1.19654i
\(990\) −3.17282 3.88045i −0.100839 0.123329i
\(991\) −21.7484 −0.690861 −0.345431 0.938444i \(-0.612267\pi\)
−0.345431 + 0.938444i \(0.612267\pi\)
\(992\) 8.46809 18.1595i 0.268862 0.576564i
\(993\) −16.0763 16.0763i −0.510166 0.510166i
\(994\) −1.77297 0.155118i −0.0562353 0.00492004i
\(995\) 18.9996 + 13.0478i 0.602327 + 0.413644i
\(996\) −12.9288 8.23663i −0.409666 0.260988i
\(997\) −30.0740 45.0089i −0.952453 1.42545i −0.904441 0.426599i \(-0.859711\pi\)
−0.0480120 0.998847i \(-0.515289\pi\)
\(998\) −46.9617 + 5.14306i −1.48655 + 0.162801i
\(999\) 11.5525 + 4.78521i 0.365506 + 0.151397i
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 320.2.bj.a.27.23 yes 368
5.3 odd 4 320.2.bd.a.283.45 yes 368
64.19 odd 16 320.2.bd.a.147.45 368
320.83 even 16 inner 320.2.bj.a.83.23 yes 368
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
320.2.bd.a.147.45 368 64.19 odd 16
320.2.bd.a.283.45 yes 368 5.3 odd 4
320.2.bj.a.27.23 yes 368 1.1 even 1 trivial
320.2.bj.a.83.23 yes 368 320.83 even 16 inner