Properties

Label 403.2.bn.a.60.8
Level $403$
Weight $2$
Character 403.60
Analytic conductor $3.218$
Analytic rank $0$
Dimension $272$
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] = [403,2,Mod(60,403)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(403, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([5, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("403.60");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.bn (of order \(20\), 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: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(272\)
Relative dimension: \(34\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 60.8
Character \(\chi\) \(=\) 403.60
Dual form 403.2.bn.a.356.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.242952 - 1.53394i) q^{2} +(-0.916843 - 1.26193i) q^{3} +(-0.391834 + 0.127315i) q^{4} +(-1.09885 - 1.09885i) q^{5} +(-1.71297 + 1.71297i) q^{6} +(-1.58544 - 0.807824i) q^{7} +(-1.11966 - 2.19746i) q^{8} +(0.175195 - 0.539194i) q^{9} +O(q^{10})\) \(q+(-0.242952 - 1.53394i) q^{2} +(-0.916843 - 1.26193i) q^{3} +(-0.391834 + 0.127315i) q^{4} +(-1.09885 - 1.09885i) q^{5} +(-1.71297 + 1.71297i) q^{6} +(-1.58544 - 0.807824i) q^{7} +(-1.11966 - 2.19746i) q^{8} +(0.175195 - 0.539194i) q^{9} +(-1.41860 + 1.95254i) q^{10} +(-0.286093 + 0.561489i) q^{11} +(0.519912 + 0.377738i) q^{12} +(3.50798 + 0.833132i) q^{13} +(-0.853966 + 2.62824i) q^{14} +(-0.379195 + 2.39414i) q^{15} +(-3.76537 + 2.73570i) q^{16} +(-2.05364 + 6.32047i) q^{17} +(-0.869655 - 0.137740i) q^{18} +(-0.887792 - 5.60530i) q^{19} +(0.570467 + 0.290667i) q^{20} +(0.434189 + 2.74136i) q^{21} +(0.930797 + 0.302434i) q^{22} +(-0.457581 + 1.40829i) q^{23} +(-1.74648 + 3.42765i) q^{24} -2.58505i q^{25} +(0.425704 - 5.58344i) q^{26} +(-5.29150 + 1.71931i) q^{27} +(0.724079 + 0.114683i) q^{28} +(-2.10594 + 2.89857i) q^{29} +3.76460 q^{30} +(2.10504 - 5.15449i) q^{31} +(1.62339 + 1.62339i) q^{32} +(0.970859 - 0.153769i) q^{33} +(10.1942 + 1.61460i) q^{34} +(0.854488 + 2.62984i) q^{35} +0.233579i q^{36} +(7.82958 + 7.82958i) q^{37} +(-8.38251 + 2.72364i) q^{38} +(-2.16491 - 5.19066i) q^{39} +(-1.18434 + 3.64502i) q^{40} +(-0.439195 - 2.77297i) q^{41} +(4.09960 - 1.33204i) q^{42} +(3.19889 + 2.32413i) q^{43} +(0.0406152 - 0.256434i) q^{44} +(-0.785006 + 0.399981i) q^{45} +(2.27140 + 0.359755i) q^{46} +(-0.0410485 + 0.259170i) q^{47} +(6.90451 + 2.24341i) q^{48} +(-2.25345 - 3.10160i) q^{49} +(-3.96532 + 0.628045i) q^{50} +(9.85883 - 3.20333i) q^{51} +(-1.48061 + 0.120167i) q^{52} +(-10.0359 - 3.26086i) q^{53} +(3.92290 + 7.69913i) q^{54} +(0.931366 - 0.302619i) q^{55} +4.38843i q^{56} +(-6.25951 + 6.25951i) q^{57} +(4.95788 + 2.52616i) q^{58} +(0.727526 - 4.59342i) q^{59} +(-0.156228 - 0.986384i) q^{60} -10.9795i q^{61} +(-8.41811 - 1.97671i) q^{62} +(-0.713335 + 0.713335i) q^{63} +(-3.37563 + 4.64616i) q^{64} +(-2.93925 - 4.77023i) q^{65} +(-0.471745 - 1.45188i) q^{66} +(-4.30483 - 4.30483i) q^{67} -2.73803i q^{68} +(2.19669 - 0.713747i) q^{69} +(3.82642 - 1.94966i) q^{70} +(13.9724 - 7.11928i) q^{71} +(-1.38101 + 0.218731i) q^{72} +(6.35502 - 12.4724i) q^{73} +(10.1079 - 13.9123i) q^{74} +(-3.26215 + 2.37009i) q^{75} +(1.06150 + 2.08332i) q^{76} +(0.907168 - 0.659096i) q^{77} +(-7.43619 + 4.58193i) q^{78} +(-9.89526 - 3.21517i) q^{79} +(7.14371 + 1.13145i) q^{80} +(5.64512 + 4.10142i) q^{81} +(-4.14686 + 1.34740i) q^{82} +(-13.0442 + 2.06599i) q^{83} +(-0.519145 - 1.01888i) q^{84} +(9.20190 - 4.68860i) q^{85} +(2.78789 - 5.47155i) q^{86} +5.58859 q^{87} +1.55417 q^{88} +(0.731299 - 1.43526i) q^{89} +(0.804265 + 1.10698i) q^{90} +(-4.88867 - 4.15471i) q^{91} -0.610073i q^{92} +(-8.43458 + 2.06946i) q^{93} +0.407524 q^{94} +(-5.18384 + 7.13494i) q^{95} +(0.560203 - 3.53698i) q^{96} +(-4.89254 + 9.60215i) q^{97} +(-4.21019 + 4.21019i) q^{98} +(0.252629 + 0.252629i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 272 q - 6 q^{2} - 20 q^{3} - 16 q^{5} - 18 q^{7} + 4 q^{8} + 40 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 272 q - 6 q^{2} - 20 q^{3} - 16 q^{5} - 18 q^{7} + 4 q^{8} + 40 q^{9} + 8 q^{14} - 40 q^{15} + 20 q^{16} + 16 q^{18} + 14 q^{19} - 4 q^{20} + 50 q^{21} - 120 q^{22} - 50 q^{24} + 40 q^{27} + 46 q^{28} - 20 q^{29} - 14 q^{31} + 52 q^{32} - 70 q^{33} - 10 q^{34} + 20 q^{35} - 46 q^{39} - 44 q^{40} - 20 q^{41} - 20 q^{42} + 30 q^{44} - 36 q^{45} - 50 q^{46} + 26 q^{47} - 20 q^{48} + 30 q^{50} - 50 q^{52} + 50 q^{54} - 20 q^{55} - 100 q^{58} + 2 q^{59} - 40 q^{60} - 4 q^{63} - 172 q^{66} + 12 q^{67} - 102 q^{70} + 50 q^{71} - 18 q^{72} - 10 q^{73} - 20 q^{74} + 148 q^{76} + 66 q^{78} - 100 q^{79} - 120 q^{80} + 88 q^{81} - 40 q^{83} - 70 q^{84} - 10 q^{86} - 88 q^{87} - 20 q^{89} + 150 q^{91} + 48 q^{93} - 24 q^{94} + 40 q^{96} - 76 q^{97} - 8 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.242952 1.53394i −0.171793 1.08466i −0.911370 0.411588i \(-0.864974\pi\)
0.739577 0.673072i \(-0.235026\pi\)
\(3\) −0.916843 1.26193i −0.529340 0.728573i 0.457690 0.889112i \(-0.348677\pi\)
−0.987030 + 0.160538i \(0.948677\pi\)
\(4\) −0.391834 + 0.127315i −0.195917 + 0.0636573i
\(5\) −1.09885 1.09885i −0.491421 0.491421i 0.417333 0.908754i \(-0.362965\pi\)
−0.908754 + 0.417333i \(0.862965\pi\)
\(6\) −1.71297 + 1.71297i −0.699317 + 0.699317i
\(7\) −1.58544 0.807824i −0.599241 0.305329i 0.127932 0.991783i \(-0.459166\pi\)
−0.727173 + 0.686454i \(0.759166\pi\)
\(8\) −1.11966 2.19746i −0.395860 0.776918i
\(9\) 0.175195 0.539194i 0.0583982 0.179731i
\(10\) −1.41860 + 1.95254i −0.448602 + 0.617447i
\(11\) −0.286093 + 0.561489i −0.0862602 + 0.169295i −0.930107 0.367290i \(-0.880286\pi\)
0.843846 + 0.536585i \(0.180286\pi\)
\(12\) 0.519912 + 0.377738i 0.150086 + 0.109044i
\(13\) 3.50798 + 0.833132i 0.972937 + 0.231069i
\(14\) −0.853966 + 2.62824i −0.228232 + 0.702426i
\(15\) −0.379195 + 2.39414i −0.0979077 + 0.618165i
\(16\) −3.76537 + 2.73570i −0.941343 + 0.683926i
\(17\) −2.05364 + 6.32047i −0.498082 + 1.53294i 0.314016 + 0.949418i \(0.398325\pi\)
−0.812098 + 0.583521i \(0.801675\pi\)
\(18\) −0.869655 0.137740i −0.204980 0.0324656i
\(19\) −0.887792 5.60530i −0.203674 1.28594i −0.851580 0.524224i \(-0.824355\pi\)
0.647907 0.761720i \(-0.275645\pi\)
\(20\) 0.570467 + 0.290667i 0.127560 + 0.0649952i
\(21\) 0.434189 + 2.74136i 0.0947478 + 0.598214i
\(22\) 0.930797 + 0.302434i 0.198447 + 0.0644792i
\(23\) −0.457581 + 1.40829i −0.0954123 + 0.293649i −0.987361 0.158488i \(-0.949338\pi\)
0.891949 + 0.452137i \(0.149338\pi\)
\(24\) −1.74648 + 3.42765i −0.356498 + 0.699666i
\(25\) 2.58505i 0.517011i
\(26\) 0.425704 5.58344i 0.0834874 1.09500i
\(27\) −5.29150 + 1.71931i −1.01835 + 0.330882i
\(28\) 0.724079 + 0.114683i 0.136838 + 0.0216730i
\(29\) −2.10594 + 2.89857i −0.391062 + 0.538251i −0.958473 0.285184i \(-0.907945\pi\)
0.567410 + 0.823435i \(0.307945\pi\)
\(30\) 3.76460 0.687318
\(31\) 2.10504 5.15449i 0.378077 0.925774i
\(32\) 1.62339 + 1.62339i 0.286977 + 0.286977i
\(33\) 0.970859 0.153769i 0.169005 0.0267677i
\(34\) 10.1942 + 1.61460i 1.74828 + 0.276901i
\(35\) 0.854488 + 2.62984i 0.144435 + 0.444525i
\(36\) 0.233579i 0.0389299i
\(37\) 7.82958 + 7.82958i 1.28718 + 1.28718i 0.936495 + 0.350680i \(0.114049\pi\)
0.350680 + 0.936495i \(0.385951\pi\)
\(38\) −8.38251 + 2.72364i −1.35982 + 0.441833i
\(39\) −2.16491 5.19066i −0.346663 0.831170i
\(40\) −1.18434 + 3.64502i −0.187260 + 0.576328i
\(41\) −0.439195 2.77297i −0.0685907 0.433065i −0.997956 0.0639035i \(-0.979645\pi\)
0.929365 0.369161i \(-0.120355\pi\)
\(42\) 4.09960 1.33204i 0.632581 0.205538i
\(43\) 3.19889 + 2.32413i 0.487825 + 0.354426i 0.804347 0.594159i \(-0.202515\pi\)
−0.316522 + 0.948585i \(0.602515\pi\)
\(44\) 0.0406152 0.256434i 0.00612297 0.0386589i
\(45\) −0.785006 + 0.399981i −0.117022 + 0.0596256i
\(46\) 2.27140 + 0.359755i 0.334900 + 0.0530430i
\(47\) −0.0410485 + 0.259170i −0.00598754 + 0.0378038i −0.990501 0.137504i \(-0.956092\pi\)
0.984514 + 0.175308i \(0.0560920\pi\)
\(48\) 6.90451 + 2.24341i 0.996580 + 0.323808i
\(49\) −2.25345 3.10160i −0.321921 0.443086i
\(50\) −3.96532 + 0.628045i −0.560781 + 0.0888189i
\(51\) 9.85883 3.20333i 1.38051 0.448556i
\(52\) −1.48061 + 0.120167i −0.205324 + 0.0166642i
\(53\) −10.0359 3.26086i −1.37853 0.447913i −0.476347 0.879257i \(-0.658039\pi\)
−0.902187 + 0.431344i \(0.858039\pi\)
\(54\) 3.92290 + 7.69913i 0.533839 + 1.04772i
\(55\) 0.931366 0.302619i 0.125585 0.0408051i
\(56\) 4.38843i 0.586429i
\(57\) −6.25951 + 6.25951i −0.829092 + 0.829092i
\(58\) 4.95788 + 2.52616i 0.651001 + 0.331702i
\(59\) 0.727526 4.59342i 0.0947158 0.598012i −0.893984 0.448100i \(-0.852101\pi\)
0.988699 0.149912i \(-0.0478991\pi\)
\(60\) −0.156228 0.986384i −0.0201689 0.127342i
\(61\) 10.9795i 1.40579i −0.711296 0.702893i \(-0.751891\pi\)
0.711296 0.702893i \(-0.248109\pi\)
\(62\) −8.41811 1.97671i −1.06910 0.251043i
\(63\) −0.713335 + 0.713335i −0.0898717 + 0.0898717i
\(64\) −3.37563 + 4.64616i −0.421954 + 0.580770i
\(65\) −2.93925 4.77023i −0.364570 0.591674i
\(66\) −0.471745 1.45188i −0.0580678 0.178714i
\(67\) −4.30483 4.30483i −0.525918 0.525918i 0.393434 0.919353i \(-0.371287\pi\)
−0.919353 + 0.393434i \(0.871287\pi\)
\(68\) 2.73803i 0.332035i
\(69\) 2.19669 0.713747i 0.264450 0.0859251i
\(70\) 3.82642 1.94966i 0.457345 0.233029i
\(71\) 13.9724 7.11928i 1.65821 0.844903i 0.662848 0.748754i \(-0.269348\pi\)
0.995367 0.0961481i \(-0.0306522\pi\)
\(72\) −1.38101 + 0.218731i −0.162754 + 0.0257777i
\(73\) 6.35502 12.4724i 0.743799 1.45979i −0.139127 0.990275i \(-0.544430\pi\)
0.882926 0.469513i \(-0.155570\pi\)
\(74\) 10.1079 13.9123i 1.17502 1.61728i
\(75\) −3.26215 + 2.37009i −0.376680 + 0.273674i
\(76\) 1.06150 + 2.08332i 0.121763 + 0.238973i
\(77\) 0.907168 0.659096i 0.103381 0.0751109i
\(78\) −7.43619 + 4.58193i −0.841982 + 0.518801i
\(79\) −9.89526 3.21517i −1.11330 0.361734i −0.306095 0.952001i \(-0.599023\pi\)
−0.807208 + 0.590266i \(0.799023\pi\)
\(80\) 7.14371 + 1.13145i 0.798691 + 0.126500i
\(81\) 5.64512 + 4.10142i 0.627236 + 0.455713i
\(82\) −4.14686 + 1.34740i −0.457944 + 0.148795i
\(83\) −13.0442 + 2.06599i −1.43178 + 0.226772i −0.823666 0.567075i \(-0.808075\pi\)
−0.608117 + 0.793847i \(0.708075\pi\)
\(84\) −0.519145 1.01888i −0.0566434 0.111169i
\(85\) 9.20190 4.68860i 0.998086 0.508550i
\(86\) 2.78789 5.47155i 0.300626 0.590013i
\(87\) 5.58859 0.599160
\(88\) 1.55417 0.165675
\(89\) 0.731299 1.43526i 0.0775175 0.152137i −0.848995 0.528401i \(-0.822792\pi\)
0.926512 + 0.376265i \(0.122792\pi\)
\(90\) 0.804265 + 1.10698i 0.0847770 + 0.116686i
\(91\) −4.88867 4.15471i −0.512472 0.435532i
\(92\) 0.610073i 0.0636045i
\(93\) −8.43458 + 2.06946i −0.874625 + 0.214592i
\(94\) 0.407524 0.0420329
\(95\) −5.18384 + 7.13494i −0.531851 + 0.732030i
\(96\) 0.560203 3.53698i 0.0571755 0.360992i
\(97\) −4.89254 + 9.60215i −0.496762 + 0.974951i 0.497447 + 0.867494i \(0.334271\pi\)
−0.994210 + 0.107457i \(0.965729\pi\)
\(98\) −4.21019 + 4.21019i −0.425294 + 0.425294i
\(99\) 0.252629 + 0.252629i 0.0253902 + 0.0253902i
\(100\) 0.329115 + 1.01291i 0.0329115 + 0.101291i
\(101\) 2.00341 + 0.650948i 0.199347 + 0.0647717i 0.406989 0.913433i \(-0.366579\pi\)
−0.207642 + 0.978205i \(0.566579\pi\)
\(102\) −7.30894 14.3446i −0.723693 1.42033i
\(103\) 5.69904 7.84406i 0.561543 0.772898i −0.429978 0.902839i \(-0.641479\pi\)
0.991522 + 0.129941i \(0.0414788\pi\)
\(104\) −2.09697 8.64145i −0.205625 0.847364i
\(105\) 2.53524 3.48945i 0.247414 0.340536i
\(106\) −2.56372 + 16.1867i −0.249010 + 1.57219i
\(107\) 5.26566 16.2060i 0.509051 1.56670i −0.284801 0.958587i \(-0.591928\pi\)
0.793852 0.608111i \(-0.208072\pi\)
\(108\) 1.85450 1.34737i 0.178449 0.129651i
\(109\) 0.721810 + 0.114323i 0.0691369 + 0.0109502i 0.190907 0.981608i \(-0.438857\pi\)
−0.121770 + 0.992558i \(0.538857\pi\)
\(110\) −0.690477 1.35514i −0.0658344 0.129207i
\(111\) 2.70186 17.0588i 0.256449 1.61915i
\(112\) 8.17975 1.29554i 0.772914 0.122417i
\(113\) 2.86003 + 8.80226i 0.269049 + 0.828047i 0.990733 + 0.135824i \(0.0433683\pi\)
−0.721684 + 0.692222i \(0.756632\pi\)
\(114\) 11.1225 + 8.08095i 1.04172 + 0.756850i
\(115\) 2.05031 1.04469i 0.191193 0.0974176i
\(116\) 0.456147 1.40388i 0.0423522 0.130347i
\(117\) 1.06380 1.74552i 0.0983481 0.161373i
\(118\) −7.22278 −0.664911
\(119\) 8.36176 8.36176i 0.766521 0.766521i
\(120\) 5.68559 1.84736i 0.519021 0.168640i
\(121\) 6.23222 + 8.57791i 0.566565 + 0.779810i
\(122\) −16.8420 + 2.66750i −1.52480 + 0.241504i
\(123\) −3.09661 + 3.09661i −0.279212 + 0.279212i
\(124\) −0.168584 + 2.28771i −0.0151393 + 0.205442i
\(125\) −8.33484 + 8.33484i −0.745491 + 0.745491i
\(126\) 1.26752 + 0.920906i 0.112920 + 0.0820409i
\(127\) −3.79897 + 2.76011i −0.337104 + 0.244920i −0.743439 0.668804i \(-0.766807\pi\)
0.406335 + 0.913724i \(0.366807\pi\)
\(128\) 12.0382 + 6.13378i 1.06404 + 0.542155i
\(129\) 6.16762i 0.543028i
\(130\) −6.60315 + 5.66758i −0.579135 + 0.497080i
\(131\) −3.92328 12.0746i −0.342779 1.05496i −0.962762 0.270350i \(-0.912861\pi\)
0.619984 0.784615i \(-0.287139\pi\)
\(132\) −0.360839 + 0.183856i −0.0314070 + 0.0160027i
\(133\) −3.12055 + 9.60407i −0.270586 + 0.832778i
\(134\) −5.55748 + 7.64921i −0.480093 + 0.660791i
\(135\) 7.70383 + 3.92530i 0.663041 + 0.337836i
\(136\) 16.1883 2.56398i 1.38814 0.219860i
\(137\) 11.8863 + 1.88260i 1.01551 + 0.160841i 0.641935 0.766759i \(-0.278132\pi\)
0.373575 + 0.927600i \(0.378132\pi\)
\(138\) −1.62854 3.19618i −0.138630 0.272077i
\(139\) 3.39738 + 4.67610i 0.288162 + 0.396621i 0.928416 0.371542i \(-0.121171\pi\)
−0.640254 + 0.768163i \(0.721171\pi\)
\(140\) −0.669635 0.921674i −0.0565945 0.0778956i
\(141\) 0.364689 0.185818i 0.0307123 0.0156487i
\(142\) −14.3152 19.7031i −1.20130 1.65345i
\(143\) −1.47140 + 1.73134i −0.123045 + 0.144782i
\(144\) 0.815400 + 2.50954i 0.0679500 + 0.209129i
\(145\) 5.49921 0.870989i 0.456684 0.0723317i
\(146\) −20.6759 6.71802i −1.71115 0.555987i
\(147\) −1.84794 + 5.68736i −0.152415 + 0.469086i
\(148\) −4.06472 2.07108i −0.334118 0.170241i
\(149\) −12.6518 12.6518i −1.03647 1.03647i −0.999309 0.0371626i \(-0.988168\pi\)
−0.0371626 0.999309i \(-0.511832\pi\)
\(150\) 4.42812 + 4.42812i 0.361554 + 0.361554i
\(151\) −6.87860 + 13.5000i −0.559773 + 1.09862i 0.421650 + 0.906759i \(0.361451\pi\)
−0.981423 + 0.191857i \(0.938549\pi\)
\(152\) −11.3234 + 8.22692i −0.918447 + 0.667291i
\(153\) 3.04817 + 2.21462i 0.246430 + 0.179042i
\(154\) −1.23141 1.23141i −0.0992300 0.0992300i
\(155\) −7.97715 + 3.35089i −0.640740 + 0.269150i
\(156\) 1.50913 + 1.75825i 0.120827 + 0.140773i
\(157\) −2.97023 2.15800i −0.237050 0.172227i 0.462918 0.886401i \(-0.346802\pi\)
−0.699968 + 0.714174i \(0.746802\pi\)
\(158\) −2.52780 + 15.9599i −0.201101 + 1.26970i
\(159\) 5.08637 + 15.6542i 0.403375 + 1.24146i
\(160\) 3.56772i 0.282053i
\(161\) 1.86312 1.86312i 0.146834 0.146834i
\(162\) 4.91984 9.65573i 0.386539 0.758626i
\(163\) −1.73383 3.40284i −0.135804 0.266531i 0.813082 0.582149i \(-0.197788\pi\)
−0.948886 + 0.315618i \(0.897788\pi\)
\(164\) 0.525131 + 1.03063i 0.0410058 + 0.0804785i
\(165\) −1.23580 0.897860i −0.0962068 0.0698983i
\(166\) 6.33822 + 19.5070i 0.491941 + 1.51404i
\(167\) −2.50596 15.8220i −0.193917 1.22435i −0.872054 0.489410i \(-0.837212\pi\)
0.678137 0.734936i \(-0.262788\pi\)
\(168\) 5.53788 4.02350i 0.427256 0.310420i
\(169\) 11.6118 + 5.84521i 0.893214 + 0.449632i
\(170\) −9.42766 12.9761i −0.723069 0.995218i
\(171\) −3.17788 0.503327i −0.243018 0.0384903i
\(172\) −1.54933 0.503407i −0.118135 0.0383844i
\(173\) 9.16812 + 12.6188i 0.697039 + 0.959392i 0.999980 + 0.00638260i \(0.00203166\pi\)
−0.302940 + 0.953009i \(0.597968\pi\)
\(174\) −1.35776 8.57257i −0.102932 0.649885i
\(175\) −2.08827 + 4.09846i −0.157858 + 0.309814i
\(176\) −0.458820 2.89688i −0.0345849 0.218360i
\(177\) −6.46358 + 3.29336i −0.485832 + 0.247544i
\(178\) −2.37927 0.773070i −0.178334 0.0579441i
\(179\) 2.33703 + 7.19263i 0.174678 + 0.537602i 0.999619 0.0276166i \(-0.00879176\pi\)
−0.824941 + 0.565219i \(0.808792\pi\)
\(180\) 0.256669 0.256669i 0.0191310 0.0191310i
\(181\) 13.8716 1.03106 0.515532 0.856870i \(-0.327594\pi\)
0.515532 + 0.856870i \(0.327594\pi\)
\(182\) −5.18536 + 8.50833i −0.384365 + 0.630679i
\(183\) −13.8554 + 10.0665i −1.02422 + 0.744138i
\(184\) 3.60699 0.571291i 0.265911 0.0421161i
\(185\) 17.2071i 1.26509i
\(186\) 5.22362 + 12.4354i 0.383014 + 0.911805i
\(187\) −2.96134 2.96134i −0.216554 0.216554i
\(188\) −0.0169119 0.106778i −0.00123343 0.00778757i
\(189\) 9.77827 + 1.54873i 0.711265 + 0.112653i
\(190\) 12.2040 + 6.21825i 0.885371 + 0.451119i
\(191\) 18.4566 1.33547 0.667737 0.744397i \(-0.267263\pi\)
0.667737 + 0.744397i \(0.267263\pi\)
\(192\) 8.95803 0.646490
\(193\) 19.0070 + 9.68454i 1.36815 + 0.697108i 0.974967 0.222351i \(-0.0713731\pi\)
0.393185 + 0.919459i \(0.371373\pi\)
\(194\) 15.9178 + 5.17200i 1.14283 + 0.371328i
\(195\) −3.32484 + 8.08267i −0.238097 + 0.578812i
\(196\) 1.27786 + 0.928416i 0.0912754 + 0.0663155i
\(197\) 6.95509 + 3.54379i 0.495529 + 0.252485i 0.683850 0.729623i \(-0.260304\pi\)
−0.188320 + 0.982108i \(0.560304\pi\)
\(198\) 0.326141 0.448895i 0.0231778 0.0319016i
\(199\) 1.73283 1.25898i 0.122837 0.0892465i −0.524670 0.851305i \(-0.675811\pi\)
0.647508 + 0.762059i \(0.275811\pi\)
\(200\) −5.68054 + 2.89438i −0.401675 + 0.204664i
\(201\) −1.48552 + 9.37922i −0.104781 + 0.661559i
\(202\) 0.511782 3.23126i 0.0360088 0.227351i
\(203\) 5.68038 2.89430i 0.398684 0.203140i
\(204\) −3.45520 + 2.51035i −0.241912 + 0.175759i
\(205\) −2.56447 + 3.52969i −0.179110 + 0.246524i
\(206\) −13.4169 6.83626i −0.934801 0.476305i
\(207\) 0.679175 + 0.493450i 0.0472059 + 0.0342971i
\(208\) −15.4880 + 6.45972i −1.07390 + 0.447901i
\(209\) 3.40130 + 1.10515i 0.235273 + 0.0764449i
\(210\) −5.96856 3.04113i −0.411870 0.209858i
\(211\) 18.9324 1.30336 0.651682 0.758493i \(-0.274064\pi\)
0.651682 + 0.758493i \(0.274064\pi\)
\(212\) 4.34756 0.298591
\(213\) −21.7945 11.1048i −1.49333 0.760891i
\(214\) −26.1384 4.13992i −1.78679 0.282999i
\(215\) −0.961230 6.06897i −0.0655553 0.413900i
\(216\) 9.70279 + 9.70279i 0.660191 + 0.660191i
\(217\) −7.50135 + 6.47166i −0.509225 + 0.439325i
\(218\) 1.13499i 0.0768711i
\(219\) −21.5658 + 3.41569i −1.45728 + 0.230811i
\(220\) −0.326413 + 0.237153i −0.0220068 + 0.0159888i
\(221\) −12.4699 + 20.4611i −0.838817 + 1.37636i
\(222\) −26.8237 −1.80029
\(223\) 6.44083 6.44083i 0.431310 0.431310i −0.457764 0.889074i \(-0.651349\pi\)
0.889074 + 0.457764i \(0.151349\pi\)
\(224\) −1.26238 3.88520i −0.0843461 0.259591i
\(225\) −1.39384 0.452887i −0.0929229 0.0301925i
\(226\) 12.8073 6.52564i 0.851928 0.434079i
\(227\) 0.960941 + 6.06714i 0.0637799 + 0.402690i 0.998838 + 0.0481956i \(0.0153471\pi\)
−0.935058 + 0.354495i \(0.884653\pi\)
\(228\) 1.65576 3.24962i 0.109656 0.215211i
\(229\) −3.93800 24.8636i −0.260231 1.64303i −0.678422 0.734672i \(-0.737336\pi\)
0.418192 0.908359i \(-0.362664\pi\)
\(230\) −2.10062 2.89125i −0.138511 0.190643i
\(231\) −1.66346 0.540491i −0.109448 0.0355617i
\(232\) 8.72741 + 1.38229i 0.572983 + 0.0907516i
\(233\) 8.59588 + 11.8312i 0.563135 + 0.775089i 0.991721 0.128412i \(-0.0409881\pi\)
−0.428586 + 0.903501i \(0.640988\pi\)
\(234\) −2.93597 1.20772i −0.191930 0.0789514i
\(235\) 0.329896 0.239683i 0.0215200 0.0156352i
\(236\) 0.299740 + 1.89248i 0.0195114 + 0.123190i
\(237\) 5.01510 + 15.4349i 0.325766 + 1.00260i
\(238\) −14.8580 10.7949i −0.963098 0.699732i
\(239\) −0.709291 1.39206i −0.0458802 0.0900450i 0.866928 0.498433i \(-0.166091\pi\)
−0.912808 + 0.408388i \(0.866091\pi\)
\(240\) −5.12185 10.0522i −0.330614 0.648867i
\(241\) −12.7892 + 25.1002i −0.823823 + 1.61684i −0.0372827 + 0.999305i \(0.511870\pi\)
−0.786540 + 0.617539i \(0.788130\pi\)
\(242\) 11.6439 11.6439i 0.748496 0.748496i
\(243\) 5.80735i 0.372541i
\(244\) 1.39786 + 4.30216i 0.0894885 + 0.275417i
\(245\) −0.931997 + 5.88440i −0.0595431 + 0.375940i
\(246\) 5.50234 + 3.99768i 0.350816 + 0.254883i
\(247\) 1.55560 20.4029i 0.0989805 1.29821i
\(248\) −13.6837 + 1.14554i −0.868916 + 0.0727421i
\(249\) 14.5666 + 14.5666i 0.923119 + 0.923119i
\(250\) 14.8101 + 10.7602i 0.936674 + 0.680534i
\(251\) −0.808038 + 0.587074i −0.0510029 + 0.0370558i −0.612995 0.790087i \(-0.710035\pi\)
0.561992 + 0.827143i \(0.310035\pi\)
\(252\) 0.188691 0.370327i 0.0118864 0.0233284i
\(253\) −0.659828 0.659828i −0.0414830 0.0414830i
\(254\) 5.15681 + 5.15681i 0.323567 + 0.323567i
\(255\) −14.3534 7.31341i −0.898843 0.457983i
\(256\) 2.93479 9.03235i 0.183424 0.564522i
\(257\) −6.40541 2.08124i −0.399558 0.129824i 0.102343 0.994749i \(-0.467366\pi\)
−0.501901 + 0.864925i \(0.667366\pi\)
\(258\) −9.46075 + 1.49844i −0.589001 + 0.0932886i
\(259\) −6.08844 18.7383i −0.378317 1.16434i
\(260\) 1.75902 + 1.49493i 0.109090 + 0.0927115i
\(261\) 1.19394 + 1.64332i 0.0739032 + 0.101719i
\(262\) −17.5686 + 8.95164i −1.08539 + 0.553034i
\(263\) −5.26532 7.24709i −0.324674 0.446875i 0.615213 0.788361i \(-0.289070\pi\)
−0.939887 + 0.341486i \(0.889070\pi\)
\(264\) −1.42493 1.96125i −0.0876985 0.120707i
\(265\) 7.44474 + 14.6111i 0.457327 + 0.897555i
\(266\) 15.4902 + 2.45341i 0.949766 + 0.150428i
\(267\) −2.48167 + 0.393058i −0.151876 + 0.0240548i
\(268\) 2.23484 + 1.13871i 0.136515 + 0.0695578i
\(269\) −12.1230 + 16.6858i −0.739150 + 1.01735i 0.259517 + 0.965738i \(0.416437\pi\)
−0.998667 + 0.0516141i \(0.983563\pi\)
\(270\) 4.14951 12.7709i 0.252531 0.777211i
\(271\) 1.37119 0.698658i 0.0832941 0.0424405i −0.411847 0.911253i \(-0.635116\pi\)
0.495141 + 0.868812i \(0.335116\pi\)
\(272\) −9.55818 29.4171i −0.579550 1.78367i
\(273\) −0.760791 + 9.97836i −0.0460452 + 0.603918i
\(274\) 18.6902i 1.12912i
\(275\) 1.45148 + 0.739565i 0.0875274 + 0.0445974i
\(276\) −0.769867 + 0.559341i −0.0463405 + 0.0336684i
\(277\) 9.11492 + 6.62238i 0.547663 + 0.397900i 0.826923 0.562315i \(-0.190089\pi\)
−0.279260 + 0.960215i \(0.590089\pi\)
\(278\) 6.34745 6.34745i 0.380695 0.380695i
\(279\) −2.41048 2.03806i −0.144312 0.122016i
\(280\) 4.82223 4.82223i 0.288183 0.288183i
\(281\) 6.08698 0.964083i 0.363119 0.0575124i 0.0277906 0.999614i \(-0.491153\pi\)
0.335328 + 0.942101i \(0.391153\pi\)
\(282\) −0.373636 0.514266i −0.0222497 0.0306241i
\(283\) −18.3784 + 5.97152i −1.09248 + 0.354970i −0.799206 0.601057i \(-0.794746\pi\)
−0.293279 + 0.956027i \(0.594746\pi\)
\(284\) −4.56846 + 4.56846i −0.271088 + 0.271088i
\(285\) 13.7565 0.814867
\(286\) 3.01324 + 1.83641i 0.178177 + 0.108589i
\(287\) −1.54375 + 4.75118i −0.0911247 + 0.280453i
\(288\) 1.15973 0.590911i 0.0683376 0.0348198i
\(289\) −21.9776 15.9676i −1.29280 0.939273i
\(290\) −2.67209 8.22385i −0.156910 0.482921i
\(291\) 16.6029 2.62964i 0.973279 0.154152i
\(292\) −0.902191 + 5.69621i −0.0527967 + 0.333345i
\(293\) −12.4425 24.4198i −0.726900 1.42662i −0.897379 0.441260i \(-0.854532\pi\)
0.170479 0.985361i \(-0.445468\pi\)
\(294\) 9.17303 + 1.45287i 0.534982 + 0.0847329i
\(295\) −5.84692 + 4.24804i −0.340421 + 0.247330i
\(296\) 8.43870 25.9716i 0.490489 1.50957i
\(297\) 0.548485 3.46300i 0.0318263 0.200944i
\(298\) −16.3333 + 22.4808i −0.946160 + 1.30228i
\(299\) −2.77847 + 4.55902i −0.160683 + 0.263655i
\(300\) 0.976473 1.34400i 0.0563767 0.0775959i
\(301\) −3.19417 6.26891i −0.184109 0.361334i
\(302\) 22.3794 + 7.27151i 1.28779 + 0.418428i
\(303\) −1.01537 3.12497i −0.0583312 0.179525i
\(304\) 18.6773 + 18.6773i 1.07122 + 1.07122i
\(305\) −12.0649 + 12.0649i −0.690833 + 0.690833i
\(306\) 2.65654 5.21376i 0.151864 0.298051i
\(307\) −0.863475 + 5.45177i −0.0492811 + 0.311149i 0.950718 + 0.310056i \(0.100348\pi\)
−0.999999 + 0.00109280i \(0.999652\pi\)
\(308\) −0.271547 + 0.373752i −0.0154728 + 0.0212965i
\(309\) −15.1237 −0.860360
\(310\) 7.07814 + 11.4224i 0.402011 + 0.648746i
\(311\) 6.40744i 0.363333i −0.983360 0.181666i \(-0.941851\pi\)
0.983360 0.181666i \(-0.0581491\pi\)
\(312\) −8.98228 + 10.5691i −0.508521 + 0.598356i
\(313\) 15.9422 + 21.9426i 0.901108 + 1.24027i 0.970113 + 0.242653i \(0.0780175\pi\)
−0.0690051 + 0.997616i \(0.521982\pi\)
\(314\) −2.58862 + 5.08045i −0.146084 + 0.286706i
\(315\) 1.56770 0.0883297
\(316\) 4.28664 0.241142
\(317\) 6.78171 13.3099i 0.380899 0.747556i −0.618366 0.785890i \(-0.712205\pi\)
0.999265 + 0.0383341i \(0.0122051\pi\)
\(318\) 22.7769 11.6054i 1.27727 0.650800i
\(319\) −1.02502 2.01172i −0.0573902 0.112635i
\(320\) 8.81475 1.39612i 0.492760 0.0780454i
\(321\) −25.2786 + 8.21352i −1.41091 + 0.458434i
\(322\) −3.31056 2.40526i −0.184490 0.134040i
\(323\) 37.2513 + 5.90003i 2.07272 + 0.328287i
\(324\) −2.73412 0.888370i −0.151896 0.0493539i
\(325\) 2.15369 9.06830i 0.119465 0.503019i
\(326\) −4.79852 + 3.48633i −0.265765 + 0.193090i
\(327\) −0.517519 1.01569i −0.0286188 0.0561676i
\(328\) −5.60173 + 4.06989i −0.309304 + 0.224722i
\(329\) 0.274444 0.377740i 0.0151306 0.0208255i
\(330\) −1.07702 + 2.11378i −0.0592882 + 0.116360i
\(331\) 21.9464 3.47598i 1.20629 0.191057i 0.479264 0.877671i \(-0.340904\pi\)
0.727022 + 0.686614i \(0.240904\pi\)
\(332\) 4.84812 2.47024i 0.266075 0.135572i
\(333\) 5.59336 2.84996i 0.306514 0.156177i
\(334\) −23.6612 + 7.68800i −1.29468 + 0.420669i
\(335\) 9.46072i 0.516895i
\(336\) −9.13443 9.13443i −0.498324 0.498324i
\(337\) 0.916756 + 2.82149i 0.0499389 + 0.153696i 0.972916 0.231158i \(-0.0742516\pi\)
−0.922977 + 0.384855i \(0.874252\pi\)
\(338\) 6.14510 19.2319i 0.334249 1.04608i
\(339\) 8.48560 11.6794i 0.460875 0.634340i
\(340\) −3.00869 + 3.00869i −0.163169 + 0.163169i
\(341\) 2.29195 + 2.65662i 0.124116 + 0.143864i
\(342\) 4.99696i 0.270205i
\(343\) 3.01566 + 19.0401i 0.162830 + 1.02807i
\(344\) 1.52550 9.63164i 0.0822496 0.519303i
\(345\) −3.19813 1.62953i −0.172182 0.0877310i
\(346\) 17.1291 17.1291i 0.920867 0.920867i
\(347\) 20.3626i 1.09312i −0.837419 0.546561i \(-0.815937\pi\)
0.837419 0.546561i \(-0.184063\pi\)
\(348\) −2.18980 + 0.711510i −0.117386 + 0.0381409i
\(349\) −9.41843 18.4847i −0.504157 0.989464i −0.993114 0.117156i \(-0.962622\pi\)
0.488957 0.872308i \(-0.337378\pi\)
\(350\) 6.79414 + 2.20755i 0.363162 + 0.117998i
\(351\) −19.9949 + 1.62279i −1.06725 + 0.0866180i
\(352\) −1.37595 + 0.447074i −0.0733385 + 0.0238291i
\(353\) 22.8989 3.62682i 1.21878 0.193036i 0.486282 0.873802i \(-0.338353\pi\)
0.732501 + 0.680765i \(0.238353\pi\)
\(354\) 6.62216 + 9.11462i 0.351964 + 0.484436i
\(355\) −23.1766 7.53052i −1.23008 0.399679i
\(356\) −0.103819 + 0.655487i −0.00550239 + 0.0347407i
\(357\) −18.2183 2.88550i −0.964217 0.152717i
\(358\) 10.4653 5.33232i 0.553107 0.281822i
\(359\) 0.438417 2.76806i 0.0231388 0.146093i −0.973414 0.229052i \(-0.926437\pi\)
0.996553 + 0.0829598i \(0.0264373\pi\)
\(360\) 1.75788 + 1.27717i 0.0926484 + 0.0673130i
\(361\) −12.5611 + 4.08136i −0.661113 + 0.214809i
\(362\) −3.37012 21.2781i −0.177130 1.11835i
\(363\) 5.11073 15.7292i 0.268244 0.825569i
\(364\) 2.44450 + 1.00556i 0.128127 + 0.0527055i
\(365\) −20.6886 + 6.72212i −1.08289 + 0.351852i
\(366\) 18.8076 + 18.8076i 0.983090 + 0.983090i
\(367\) 23.7955i 1.24211i −0.783765 0.621057i \(-0.786703\pi\)
0.783765 0.621057i \(-0.213297\pi\)
\(368\) −2.12970 6.55454i −0.111018 0.341679i
\(369\) −1.57211 0.248998i −0.0818408 0.0129623i
\(370\) −26.3946 + 4.18050i −1.37219 + 0.217334i
\(371\) 13.2771 + 13.2771i 0.689314 + 0.689314i
\(372\) 3.04148 1.88473i 0.157694 0.0977186i
\(373\) 9.92362 0.513826 0.256913 0.966435i \(-0.417295\pi\)
0.256913 + 0.966435i \(0.417295\pi\)
\(374\) −3.82305 + 5.26198i −0.197685 + 0.272090i
\(375\) 18.1597 + 2.87621i 0.937763 + 0.148527i
\(376\) 0.615475 0.199980i 0.0317407 0.0103132i
\(377\) −9.80246 + 8.41359i −0.504852 + 0.433322i
\(378\) 15.3756i 0.790833i
\(379\) −8.51344 + 16.7086i −0.437306 + 0.858262i 0.562205 + 0.826998i \(0.309953\pi\)
−0.999511 + 0.0312639i \(0.990047\pi\)
\(380\) 1.12282 3.45569i 0.0575996 0.177273i
\(381\) 6.96611 + 2.26343i 0.356885 + 0.115959i
\(382\) −4.48408 28.3114i −0.229425 1.44854i
\(383\) 0.0580453 + 0.0295756i 0.00296598 + 0.00151124i 0.455473 0.890250i \(-0.349470\pi\)
−0.452507 + 0.891761i \(0.649470\pi\)
\(384\) −3.29678 20.8151i −0.168238 1.06221i
\(385\) −1.72109 0.272594i −0.0877149 0.0138927i
\(386\) 10.2377 31.5084i 0.521086 1.60374i
\(387\) 1.81358 1.31764i 0.0921895 0.0669796i
\(388\) 0.694570 4.38534i 0.0352615 0.222632i
\(389\) −1.18835 + 3.65737i −0.0602518 + 0.185436i −0.976652 0.214827i \(-0.931081\pi\)
0.916400 + 0.400263i \(0.131081\pi\)
\(390\) 13.2061 + 3.13641i 0.668718 + 0.158818i
\(391\) −7.96134 5.78425i −0.402622 0.292522i
\(392\) −4.29254 + 8.42459i −0.216806 + 0.425506i
\(393\) −11.6402 + 16.0214i −0.587173 + 0.808174i
\(394\) 3.74621 11.5297i 0.188732 0.580856i
\(395\) 7.34043 + 14.4064i 0.369337 + 0.724865i
\(396\) −0.131152 0.0668253i −0.00659064 0.00335810i
\(397\) 7.04806 7.04806i 0.353732 0.353732i −0.507764 0.861496i \(-0.669528\pi\)
0.861496 + 0.507764i \(0.169528\pi\)
\(398\) −2.35219 2.35219i −0.117905 0.117905i
\(399\) 14.9807 4.86752i 0.749972 0.243681i
\(400\) 7.07194 + 9.73368i 0.353597 + 0.486684i
\(401\) −0.211542 1.33562i −0.0105639 0.0666978i 0.981843 0.189694i \(-0.0607496\pi\)
−0.992407 + 0.122996i \(0.960750\pi\)
\(402\) 14.7481 0.735567
\(403\) 11.6788 16.3281i 0.581763 0.813359i
\(404\) −0.867880 −0.0431786
\(405\) −1.69630 10.7100i −0.0842897 0.532184i
\(406\) −5.81974 8.01018i −0.288829 0.397539i
\(407\) −6.63621 + 2.15623i −0.328945 + 0.106881i
\(408\) −18.0777 18.0777i −0.894980 0.894980i
\(409\) −0.722961 + 0.722961i −0.0357481 + 0.0357481i −0.724755 0.689007i \(-0.758047\pi\)
0.689007 + 0.724755i \(0.258047\pi\)
\(410\) 6.03737 + 3.07620i 0.298165 + 0.151922i
\(411\) −8.52213 16.7256i −0.420366 0.825014i
\(412\) −1.23442 + 3.79914i −0.0608153 + 0.187170i
\(413\) −4.86412 + 6.69489i −0.239348 + 0.329434i
\(414\) 0.591915 1.16170i 0.0290910 0.0570944i
\(415\) 16.6038 + 12.0634i 0.815049 + 0.592168i
\(416\) 4.34231 + 7.04730i 0.212899 + 0.345522i
\(417\) 2.78602 8.57449i 0.136432 0.419895i
\(418\) 0.868880 5.48589i 0.0424983 0.268324i
\(419\) 7.87320 5.72022i 0.384631 0.279451i −0.378621 0.925552i \(-0.623602\pi\)
0.763252 + 0.646101i \(0.223602\pi\)
\(420\) −0.549134 + 1.69006i −0.0267950 + 0.0824665i
\(421\) 23.2620 + 3.68434i 1.13372 + 0.179564i 0.694966 0.719043i \(-0.255420\pi\)
0.438755 + 0.898607i \(0.355420\pi\)
\(422\) −4.59968 29.0412i −0.223909 1.41371i
\(423\) 0.132551 + 0.0675383i 0.00644487 + 0.00328382i
\(424\) 4.07119 + 25.7045i 0.197714 + 1.24832i
\(425\) 16.3387 + 5.30878i 0.792546 + 0.257514i
\(426\) −11.7391 + 36.1293i −0.568763 + 1.75047i
\(427\) −8.86953 + 17.4074i −0.429227 + 0.842405i
\(428\) 7.02048i 0.339348i
\(429\) 3.53386 + 0.269436i 0.170616 + 0.0130085i
\(430\) −9.07590 + 2.94894i −0.437679 + 0.142210i
\(431\) −3.31985 0.525812i −0.159911 0.0253275i 0.0759654 0.997110i \(-0.475796\pi\)
−0.235877 + 0.971783i \(0.575796\pi\)
\(432\) 15.2209 20.9498i 0.732317 1.00795i
\(433\) −34.1078 −1.63912 −0.819558 0.572997i \(-0.805781\pi\)
−0.819558 + 0.572997i \(0.805781\pi\)
\(434\) 11.7496 + 9.93431i 0.563999 + 0.476862i
\(435\) −6.14103 6.14103i −0.294440 0.294440i
\(436\) −0.297385 + 0.0471011i −0.0142421 + 0.00225573i
\(437\) 8.30013 + 1.31461i 0.397049 + 0.0628864i
\(438\) 10.4789 + 32.2509i 0.500703 + 1.54101i
\(439\) 9.73165i 0.464466i −0.972660 0.232233i \(-0.925397\pi\)
0.972660 0.232233i \(-0.0746032\pi\)
\(440\) −1.70780 1.70780i −0.0814164 0.0814164i
\(441\) −2.06715 + 0.671659i −0.0984359 + 0.0319838i
\(442\) 34.4157 + 14.1570i 1.63699 + 0.673382i
\(443\) 3.15369 9.70605i 0.149836 0.461148i −0.847765 0.530372i \(-0.822052\pi\)
0.997601 + 0.0692237i \(0.0220522\pi\)
\(444\) 1.11316 + 7.02822i 0.0528283 + 0.333545i
\(445\) −2.38072 + 0.773543i −0.112857 + 0.0366694i
\(446\) −11.4447 8.31504i −0.541921 0.393729i
\(447\) −4.36591 + 27.5652i −0.206500 + 1.30379i
\(448\) 9.10515 4.63931i 0.430178 0.219187i
\(449\) −14.4002 2.28077i −0.679588 0.107636i −0.192909 0.981217i \(-0.561792\pi\)
−0.486680 + 0.873580i \(0.661792\pi\)
\(450\) −0.356065 + 2.24810i −0.0167850 + 0.105977i
\(451\) 1.68264 + 0.546723i 0.0792324 + 0.0257442i
\(452\) −2.24131 3.08490i −0.105422 0.145102i
\(453\) 23.3426 3.69711i 1.09673 0.173705i
\(454\) 9.07317 2.94805i 0.425825 0.138359i
\(455\) 0.806516 + 9.93733i 0.0378101 + 0.465869i
\(456\) 20.7635 + 6.74648i 0.972341 + 0.315933i
\(457\) −6.18514 12.1390i −0.289328 0.567839i 0.699896 0.714245i \(-0.253230\pi\)
−0.989225 + 0.146406i \(0.953230\pi\)
\(458\) −37.1825 + 12.0813i −1.73742 + 0.564523i
\(459\) 36.9756i 1.72587i
\(460\) −0.670379 + 0.670379i −0.0312566 + 0.0312566i
\(461\) −19.6429 10.0086i −0.914861 0.466145i −0.0678354 0.997697i \(-0.521609\pi\)
−0.847026 + 0.531551i \(0.821609\pi\)
\(462\) −0.424940 + 2.68296i −0.0197700 + 0.124823i
\(463\) −0.151040 0.953630i −0.00701943 0.0443190i 0.983930 0.178555i \(-0.0571421\pi\)
−0.990949 + 0.134236i \(0.957142\pi\)
\(464\) 16.6754i 0.774136i
\(465\) 11.5424 + 6.99433i 0.535265 + 0.324354i
\(466\) 16.0600 16.0600i 0.743965 0.743965i
\(467\) −7.42699 + 10.2224i −0.343680 + 0.473035i −0.945512 0.325588i \(-0.894438\pi\)
0.601832 + 0.798623i \(0.294438\pi\)
\(468\) −0.194602 + 0.819390i −0.00899550 + 0.0378763i
\(469\) 3.34752 + 10.3026i 0.154574 + 0.475730i
\(470\) −0.447808 0.447808i −0.0206559 0.0206559i
\(471\) 5.72676i 0.263875i
\(472\) −10.9084 + 3.54436i −0.502101 + 0.163142i
\(473\) −2.22015 + 1.13122i −0.102083 + 0.0520136i
\(474\) 22.4578 11.4428i 1.03152 0.525585i
\(475\) −14.4900 + 2.29499i −0.664847 + 0.105301i
\(476\) −2.21185 + 4.34100i −0.101380 + 0.198969i
\(477\) −3.51646 + 4.84000i −0.161008 + 0.221608i
\(478\) −1.96302 + 1.42621i −0.0897863 + 0.0652335i
\(479\) 14.5853 + 28.6253i 0.666421 + 1.30792i 0.938377 + 0.345615i \(0.112330\pi\)
−0.271956 + 0.962310i \(0.587670\pi\)
\(480\) −4.50220 + 3.27104i −0.205496 + 0.149302i
\(481\) 20.9429 + 33.9891i 0.954914 + 1.54977i
\(482\) 41.6093 + 13.5197i 1.89525 + 0.615805i
\(483\) −4.05931 0.642931i −0.184705 0.0292544i
\(484\) −3.53409 2.56767i −0.160640 0.116712i
\(485\) 15.9275 5.17516i 0.723231 0.234992i
\(486\) 8.90812 1.41091i 0.404081 0.0640001i
\(487\) −9.29495 18.2424i −0.421195 0.826641i −0.999938 0.0111312i \(-0.996457\pi\)
0.578744 0.815510i \(-0.303543\pi\)
\(488\) −24.1271 + 12.2933i −1.09218 + 0.556494i
\(489\) −2.70448 + 5.30784i −0.122301 + 0.240029i
\(490\) 9.25275 0.417996
\(491\) 15.6710 0.707223 0.353612 0.935392i \(-0.384953\pi\)
0.353612 + 0.935392i \(0.384953\pi\)
\(492\) 0.819113 1.60760i 0.0369285 0.0724762i
\(493\) −13.9955 19.2631i −0.630325 0.867568i
\(494\) −31.6748 + 2.57073i −1.42512 + 0.115663i
\(495\) 0.555204i 0.0249545i
\(496\) 6.17490 + 25.1673i 0.277261 + 1.13005i
\(497\) −27.9035 −1.25164
\(498\) 18.8053 25.8832i 0.842685 1.15986i
\(499\) 4.45386 28.1206i 0.199382 1.25885i −0.661461 0.749979i \(-0.730063\pi\)
0.860843 0.508870i \(-0.169937\pi\)
\(500\) 2.20473 4.32702i 0.0985984 0.193510i
\(501\) −17.6687 + 17.6687i −0.789378 + 0.789378i
\(502\) 1.09685 + 1.09685i 0.0489549 + 0.0489549i
\(503\) 8.83618 + 27.1950i 0.393986 + 1.21256i 0.929748 + 0.368195i \(0.120024\pi\)
−0.535763 + 0.844369i \(0.679976\pi\)
\(504\) 2.36621 + 0.768829i 0.105400 + 0.0342464i
\(505\) −1.48616 2.91674i −0.0661330 0.129793i
\(506\) −0.851830 + 1.17244i −0.0378685 + 0.0521215i
\(507\) −3.26995 20.0124i −0.145224 0.888780i
\(508\) 1.13716 1.56517i 0.0504534 0.0694432i
\(509\) 4.33721 27.3841i 0.192243 1.21378i −0.683118 0.730308i \(-0.739376\pi\)
0.875361 0.483469i \(-0.160624\pi\)
\(510\) −7.73115 + 23.7940i −0.342341 + 1.05362i
\(511\) −20.1511 + 14.6406i −0.891430 + 0.647662i
\(512\) 12.1208 + 1.91975i 0.535670 + 0.0848418i
\(513\) 14.3350 + 28.1340i 0.632906 + 1.24215i
\(514\) −1.63629 + 10.3312i −0.0721738 + 0.455688i
\(515\) −14.8818 + 2.35705i −0.655773 + 0.103864i
\(516\) 0.785228 + 2.41668i 0.0345677 + 0.106388i
\(517\) −0.133777 0.0971950i −0.00588352 0.00427463i
\(518\) −27.2642 + 13.8918i −1.19792 + 0.610371i
\(519\) 7.51831 23.1390i 0.330017 1.01569i
\(520\) −7.19141 + 11.7999i −0.315364 + 0.517461i
\(521\) 24.1899 1.05978 0.529890 0.848066i \(-0.322233\pi\)
0.529890 + 0.848066i \(0.322233\pi\)
\(522\) 2.23068 2.23068i 0.0976344 0.0976344i
\(523\) −36.6838 + 11.9193i −1.60407 + 0.521195i −0.968110 0.250526i \(-0.919397\pi\)
−0.635962 + 0.771720i \(0.719397\pi\)
\(524\) 3.07455 + 4.23176i 0.134312 + 0.184865i
\(525\) 7.08656 1.12240i 0.309283 0.0489856i
\(526\) −9.83739 + 9.83739i −0.428930 + 0.428930i
\(527\) 28.2558 + 23.8903i 1.23084 + 1.04068i
\(528\) −3.23498 + 3.23498i −0.140784 + 0.140784i
\(529\) 16.8335 + 12.2302i 0.731891 + 0.531750i
\(530\) 20.6039 14.9696i 0.894976 0.650238i
\(531\) −2.34928 1.19702i −0.101950 0.0519462i
\(532\) 4.16049i 0.180380i
\(533\) 0.769563 10.0934i 0.0333335 0.437194i
\(534\) 1.20586 + 3.71124i 0.0521825 + 0.160601i
\(535\) −23.5942 + 12.0219i −1.02007 + 0.519750i
\(536\) −4.63973 + 14.2796i −0.200406 + 0.616785i
\(537\) 6.93388 9.54366i 0.299219 0.411839i
\(538\) 28.5404 + 14.5420i 1.23046 + 0.626952i
\(539\) 2.38621 0.377938i 0.102781 0.0162789i
\(540\) −3.51837 0.557256i −0.151407 0.0239805i
\(541\) −8.85930 17.3874i −0.380891 0.747541i 0.618373 0.785884i \(-0.287792\pi\)
−0.999265 + 0.0383434i \(0.987792\pi\)
\(542\) −1.40483 1.93359i −0.0603428 0.0830548i
\(543\) −12.7180 17.5049i −0.545783 0.751206i
\(544\) −13.5944 + 6.92670i −0.582856 + 0.296980i
\(545\) −0.667537 0.918786i −0.0285941 0.0393565i
\(546\) 15.4910 1.25726i 0.662956 0.0538056i
\(547\) 3.62990 + 11.1717i 0.155203 + 0.477666i 0.998181 0.0602815i \(-0.0191998\pi\)
−0.842978 + 0.537948i \(0.819200\pi\)
\(548\) −4.89712 + 0.775628i −0.209195 + 0.0331332i
\(549\) −5.92010 1.92356i −0.252664 0.0820954i
\(550\) 0.781809 2.40616i 0.0333364 0.102599i
\(551\) 18.1170 + 9.23107i 0.771810 + 0.393257i
\(552\) −4.02797 4.02797i −0.171442 0.171442i
\(553\) 13.0911 + 13.0911i 0.556690 + 0.556690i
\(554\) 7.94384 15.5907i 0.337502 0.662384i
\(555\) −21.7141 + 15.7762i −0.921711 + 0.669662i
\(556\) −1.92655 1.39972i −0.0817038 0.0593613i
\(557\) 4.10205 + 4.10205i 0.173809 + 0.173809i 0.788651 0.614841i \(-0.210780\pi\)
−0.614841 + 0.788651i \(0.710780\pi\)
\(558\) −2.54064 + 4.19268i −0.107554 + 0.177490i
\(559\) 9.28531 + 10.8181i 0.392727 + 0.457556i
\(560\) −10.4119 7.56471i −0.439985 0.319667i
\(561\) −1.02191 + 6.45207i −0.0431450 + 0.272407i
\(562\) −2.95769 9.10284i −0.124763 0.383980i
\(563\) 13.4283i 0.565934i −0.959130 0.282967i \(-0.908681\pi\)
0.959130 0.282967i \(-0.0913188\pi\)
\(564\) −0.119240 + 0.119240i −0.00502091 + 0.00502091i
\(565\) 6.52963 12.8151i 0.274703 0.539136i
\(566\) 13.6250 + 26.7406i 0.572703 + 1.12399i
\(567\) −5.63679 11.0628i −0.236723 0.464595i
\(568\) −31.2886 22.7325i −1.31284 0.953834i
\(569\) 8.16158 + 25.1188i 0.342151 + 1.05303i 0.963091 + 0.269176i \(0.0867512\pi\)
−0.620940 + 0.783858i \(0.713249\pi\)
\(570\) −3.34218 21.1017i −0.139989 0.883853i
\(571\) −23.5749 + 17.1282i −0.986579 + 0.716792i −0.959169 0.282833i \(-0.908726\pi\)
−0.0274097 + 0.999624i \(0.508726\pi\)
\(572\) 0.356121 0.865727i 0.0148901 0.0361979i
\(573\) −16.9218 23.2909i −0.706920 0.972991i
\(574\) 7.66308 + 1.21371i 0.319851 + 0.0506594i
\(575\) 3.64050 + 1.18287i 0.151820 + 0.0493292i
\(576\) 1.91379 + 2.63410i 0.0797411 + 0.109754i
\(577\) −3.34403 21.1134i −0.139214 0.878962i −0.954132 0.299386i \(-0.903218\pi\)
0.814918 0.579576i \(-0.196782\pi\)
\(578\) −19.1539 + 37.5917i −0.796697 + 1.56361i
\(579\) −5.20524 32.8646i −0.216322 1.36581i
\(580\) −2.04389 + 1.04141i −0.0848678 + 0.0432423i
\(581\) 22.3497 + 7.26187i 0.927223 + 0.301273i
\(582\) −8.06743 24.8290i −0.334406 1.02919i
\(583\) 4.70213 4.70213i 0.194742 0.194742i
\(584\) −34.5231 −1.42858
\(585\) −3.08702 + 0.749108i −0.127633 + 0.0309718i
\(586\) −34.4356 + 25.0189i −1.42252 + 1.03352i
\(587\) −21.8622 + 3.46264i −0.902351 + 0.142918i −0.590335 0.807159i \(-0.701004\pi\)
−0.312016 + 0.950077i \(0.601004\pi\)
\(588\) 2.46377i 0.101604i
\(589\) −30.7613 7.22327i −1.26750 0.297630i
\(590\) 7.93676 + 7.93676i 0.326751 + 0.326751i
\(591\) −1.90472 12.0259i −0.0783496 0.494680i
\(592\) −50.9007 8.06188i −2.09201 0.331341i
\(593\) −6.10164 3.10894i −0.250565 0.127669i 0.324198 0.945989i \(-0.394906\pi\)
−0.574763 + 0.818320i \(0.694906\pi\)
\(594\) −5.44529 −0.223423
\(595\) −18.3767 −0.753370
\(596\) 6.56814 + 3.34663i 0.269041 + 0.137083i
\(597\) −3.17747 1.03242i −0.130045 0.0422543i
\(598\) 7.66830 + 3.15439i 0.313580 + 0.128993i
\(599\) −3.55119 2.58009i −0.145098 0.105420i 0.512868 0.858467i \(-0.328583\pi\)
−0.657966 + 0.753048i \(0.728583\pi\)
\(600\) 8.86066 + 4.51473i 0.361735 + 0.184313i
\(601\) 7.59262 10.4503i 0.309710 0.426279i −0.625581 0.780159i \(-0.715138\pi\)
0.935291 + 0.353881i \(0.115138\pi\)
\(602\) −8.84010 + 6.42271i −0.360296 + 0.261770i
\(603\) −3.07532 + 1.56695i −0.125237 + 0.0638112i
\(604\) 0.976522 6.16551i 0.0397341 0.250871i
\(605\) 2.57757 16.2741i 0.104793 0.661637i
\(606\) −4.54684 + 2.31673i −0.184703 + 0.0941107i
\(607\) 21.6771 15.7493i 0.879846 0.639246i −0.0533644 0.998575i \(-0.516994\pi\)
0.933211 + 0.359329i \(0.116994\pi\)
\(608\) 7.65834 10.5408i 0.310587 0.427486i
\(609\) −8.86040 4.51460i −0.359042 0.182941i
\(610\) 21.4380 + 15.5756i 0.867999 + 0.630638i
\(611\) −0.359920 + 0.874964i −0.0145608 + 0.0353972i
\(612\) −1.47633 0.479689i −0.0596771 0.0193903i
\(613\) −14.5147 7.39560i −0.586243 0.298706i 0.135599 0.990764i \(-0.456704\pi\)
−0.721842 + 0.692058i \(0.756704\pi\)
\(614\) 8.57247 0.345957
\(615\) 6.80542 0.274421
\(616\) −2.46405 1.25550i −0.0992796 0.0505855i
\(617\) −28.3874 4.49612i −1.14283 0.181007i −0.443820 0.896116i \(-0.646377\pi\)
−0.699013 + 0.715109i \(0.746377\pi\)
\(618\) 3.67435 + 23.1989i 0.147804 + 0.933198i
\(619\) −5.35024 5.35024i −0.215044 0.215044i 0.591362 0.806406i \(-0.298590\pi\)
−0.806406 + 0.591362i \(0.798590\pi\)
\(620\) 2.69910 2.32860i 0.108398 0.0935189i
\(621\) 8.23869i 0.330607i
\(622\) −9.82863 + 1.55670i −0.394092 + 0.0624181i
\(623\) −2.31887 + 1.68476i −0.0929034 + 0.0674983i
\(624\) 22.3518 + 13.6222i 0.894788 + 0.545324i
\(625\) 5.39223 0.215689
\(626\) 29.7854 29.7854i 1.19047 1.19047i
\(627\) −1.72384 5.30544i −0.0688436 0.211879i
\(628\) 1.43858 + 0.467424i 0.0574057 + 0.0186522i
\(629\) −65.5658 + 33.4074i −2.61428 + 1.33204i
\(630\) −0.380875 2.40475i −0.0151744 0.0958077i
\(631\) −17.3770 + 34.1042i −0.691766 + 1.35767i 0.231245 + 0.972896i \(0.425720\pi\)
−0.923011 + 0.384772i \(0.874280\pi\)
\(632\) 4.01414 + 25.3443i 0.159674 + 1.00814i
\(633\) −17.3581 23.8913i −0.689922 0.949596i
\(634\) −22.0642 7.16908i −0.876280 0.284720i
\(635\) 7.20745 + 1.14155i 0.286019 + 0.0453010i
\(636\) −3.98603 5.48629i −0.158056 0.217546i
\(637\) −5.32099 12.7578i −0.210825 0.505481i
\(638\) −2.83682 + 2.06107i −0.112311 + 0.0815987i
\(639\) −1.39078 8.78107i −0.0550186 0.347374i
\(640\) −6.48810 19.9683i −0.256465 0.789317i
\(641\) 34.6525 + 25.1765i 1.36869 + 0.994412i 0.997838 + 0.0657204i \(0.0209346\pi\)
0.370853 + 0.928692i \(0.379065\pi\)
\(642\) 18.7405 + 36.7804i 0.739630 + 1.45161i
\(643\) 2.99058 + 5.86933i 0.117937 + 0.231464i 0.942427 0.334413i \(-0.108538\pi\)
−0.824490 + 0.565877i \(0.808538\pi\)
\(644\) −0.492831 + 0.967236i −0.0194203 + 0.0381144i
\(645\) −6.77729 + 6.77729i −0.266856 + 0.266856i
\(646\) 58.5747i 2.30459i
\(647\) 4.18731 + 12.8872i 0.164620 + 0.506649i 0.999008 0.0445289i \(-0.0141787\pi\)
−0.834388 + 0.551178i \(0.814179\pi\)
\(648\) 2.69208 16.9971i 0.105755 0.667709i
\(649\) 2.37101 + 1.72264i 0.0930703 + 0.0676196i
\(650\) −14.4335 1.10047i −0.566128 0.0431639i
\(651\) 15.0443 + 3.53265i 0.589633 + 0.138456i
\(652\) 1.11261 + 1.11261i 0.0435731 + 0.0435731i
\(653\) 34.1398 + 24.8040i 1.33599 + 0.970655i 0.999581 + 0.0289397i \(0.00921307\pi\)
0.336411 + 0.941715i \(0.390787\pi\)
\(654\) −1.43227 + 1.04061i −0.0560063 + 0.0406909i
\(655\) −8.95711 + 17.5793i −0.349983 + 0.686880i
\(656\) 9.23975 + 9.23975i 0.360751 + 0.360751i
\(657\) −5.61169 5.61169i −0.218933 0.218933i
\(658\) −0.646107 0.329208i −0.0251879 0.0128339i
\(659\) −7.39080 + 22.7466i −0.287905 + 0.886080i 0.697608 + 0.716480i \(0.254248\pi\)
−0.985513 + 0.169600i \(0.945752\pi\)
\(660\) 0.598539 + 0.194477i 0.0232981 + 0.00757001i
\(661\) 22.4945 3.56277i 0.874933 0.138576i 0.297214 0.954811i \(-0.403943\pi\)
0.577720 + 0.816235i \(0.303943\pi\)
\(662\) −10.6639 32.8200i −0.414463 1.27559i
\(663\) 37.2533 3.02349i 1.44680 0.117423i
\(664\) 19.1450 + 26.3508i 0.742968 + 1.02261i
\(665\) 13.9825 7.12442i 0.542216 0.276273i
\(666\) −5.73059 7.88748i −0.222056 0.305634i
\(667\) −3.11839 4.29210i −0.120745 0.166191i
\(668\) 2.99630 + 5.88057i 0.115930 + 0.227526i
\(669\) −14.0331 2.22262i −0.542551 0.0859316i
\(670\) 14.5122 2.29850i 0.560655 0.0887990i
\(671\) 6.16489 + 3.14117i 0.237993 + 0.121263i
\(672\) −3.74543 + 5.15514i −0.144483 + 0.198864i
\(673\) 2.69589 8.29709i 0.103919 0.319829i −0.885556 0.464532i \(-0.846223\pi\)
0.989475 + 0.144703i \(0.0462225\pi\)
\(674\) 4.10526 2.09174i 0.158129 0.0805706i
\(675\) 4.44451 + 13.6788i 0.171069 + 0.526497i
\(676\) −5.29407 0.812004i −0.203618 0.0312309i
\(677\) 18.0876i 0.695165i −0.937649 0.347582i \(-0.887003\pi\)
0.937649 0.347582i \(-0.112997\pi\)
\(678\) −19.9771 10.1789i −0.767218 0.390917i
\(679\) 15.5137 11.2714i 0.595361 0.432555i
\(680\) −20.6060 14.9711i −0.790204 0.574117i
\(681\) 6.77525 6.77525i 0.259628 0.259628i
\(682\) 3.51826 4.16115i 0.134721 0.159339i
\(683\) −29.5701 + 29.5701i −1.13147 + 1.13147i −0.141536 + 0.989933i \(0.545204\pi\)
−0.989933 + 0.141536i \(0.954796\pi\)
\(684\) 1.30928 0.207370i 0.0500616 0.00792899i
\(685\) −10.9925 15.1299i −0.420003 0.578084i
\(686\) 28.4738 9.25169i 1.08713 0.353231i
\(687\) −27.7655 + 27.7655i −1.05932 + 1.05932i
\(688\) −18.4031 −0.701612
\(689\) −32.4889 19.8002i −1.23773 0.754328i
\(690\) −1.72261 + 5.30165i −0.0655786 + 0.201830i
\(691\) −3.47573 + 1.77097i −0.132223 + 0.0673710i −0.518851 0.854865i \(-0.673640\pi\)
0.386628 + 0.922236i \(0.373640\pi\)
\(692\) −5.19894 3.77725i −0.197634 0.143590i
\(693\) −0.196449 0.604609i −0.00746249 0.0229672i
\(694\) −31.2350 + 4.94714i −1.18567 + 0.187791i
\(695\) 1.40512 8.87155i 0.0532991 0.336517i
\(696\) −6.25732 12.2807i −0.237183 0.465498i
\(697\) 18.4284 + 2.91877i 0.698026 + 0.110556i
\(698\) −26.0662 + 18.9382i −0.986620 + 0.716822i
\(699\) 7.04905 21.6947i 0.266619 0.820570i
\(700\) 0.296461 1.87178i 0.0112052 0.0707467i
\(701\) 9.53937 13.1298i 0.360297 0.495906i −0.589934 0.807451i \(-0.700846\pi\)
0.950231 + 0.311545i \(0.100846\pi\)
\(702\) 7.34706 + 30.2767i 0.277297 + 1.14272i
\(703\) 36.9361 50.8382i 1.39307 1.91740i
\(704\) −1.64302 3.22461i −0.0619237 0.121532i
\(705\) −0.604925 0.196552i −0.0227828 0.00740258i
\(706\) −11.1267 34.2443i −0.418757 1.28880i
\(707\) −2.65044 2.65044i −0.0996802 0.0996802i
\(708\) 2.11336 2.11336i 0.0794249 0.0794249i
\(709\) −9.06337 + 17.7879i −0.340382 + 0.668038i −0.996220 0.0868640i \(-0.972315\pi\)
0.655838 + 0.754902i \(0.272315\pi\)
\(710\) −5.92057 + 37.3810i −0.222195 + 1.40289i
\(711\) −3.46719 + 4.77218i −0.130030 + 0.178971i
\(712\) −3.97272 −0.148884
\(713\) 6.29579 + 5.32311i 0.235779 + 0.199352i
\(714\) 28.6469i 1.07208i
\(715\) 3.51933 0.285630i 0.131615 0.0106819i
\(716\) −1.83145 2.52078i −0.0684446 0.0942059i
\(717\) −1.10637 + 2.17137i −0.0413182 + 0.0810915i
\(718\) −4.35255 −0.162436
\(719\) 52.2812 1.94976 0.974881 0.222728i \(-0.0714963\pi\)
0.974881 + 0.222728i \(0.0714963\pi\)
\(720\) 1.86161 3.65362i 0.0693782 0.136162i
\(721\) −15.3721 + 7.83249i −0.572488 + 0.291697i
\(722\) 9.31233 + 18.2765i 0.346569 + 0.680180i
\(723\) 43.4002 6.87392i 1.61407 0.255644i
\(724\) −5.43535 + 1.76605i −0.202003 + 0.0656348i
\(725\) 7.49296 + 5.44395i 0.278282 + 0.202183i
\(726\) −25.3693 4.01810i −0.941543 0.149126i
\(727\) 25.3648 + 8.24152i 0.940727 + 0.305661i 0.738942 0.673769i \(-0.235326\pi\)
0.201785 + 0.979430i \(0.435326\pi\)
\(728\) −3.65614 + 15.3945i −0.135506 + 0.570558i
\(729\) 24.2638 17.6287i 0.898659 0.652914i
\(730\) 15.3377 + 30.1019i 0.567673 + 1.11412i
\(731\) −21.2589 + 15.4455i −0.786290 + 0.571273i
\(732\) 4.14739 5.70839i 0.153292 0.210988i
\(733\) 2.02940 3.98292i 0.0749576 0.147112i −0.850486 0.525997i \(-0.823692\pi\)
0.925444 + 0.378885i \(0.123692\pi\)
\(734\) −36.5009 + 5.78117i −1.34727 + 0.213387i
\(735\) 8.28017 4.21896i 0.305419 0.155619i
\(736\) −3.02903 + 1.54337i −0.111652 + 0.0568893i
\(737\) 3.64869 1.18553i 0.134401 0.0436696i
\(738\) 2.47202i 0.0909963i
\(739\) 20.7854 + 20.7854i 0.764604 + 0.764604i 0.977151 0.212547i \(-0.0681759\pi\)
−0.212547 + 0.977151i \(0.568176\pi\)
\(740\) 2.19071 + 6.74232i 0.0805322 + 0.247853i
\(741\) −27.1732 + 16.7432i −0.998232 + 0.615077i
\(742\) 17.1406 23.5920i 0.629252 0.866091i
\(743\) 16.6137 16.6137i 0.609499 0.609499i −0.333316 0.942815i \(-0.608168\pi\)
0.942815 + 0.333316i \(0.108168\pi\)
\(744\) 13.9914 + 16.2175i 0.512950 + 0.594564i
\(745\) 27.8048i 1.01869i
\(746\) −2.41097 15.2222i −0.0882718 0.557326i
\(747\) −1.17130 + 7.39528i −0.0428555 + 0.270579i
\(748\) 1.53737 + 0.783331i 0.0562120 + 0.0286414i
\(749\) −21.4400 + 21.4400i −0.783402 + 0.783402i
\(750\) 28.5547i 1.04267i
\(751\) 42.0115 13.6504i 1.53302 0.498109i 0.583582 0.812054i \(-0.301651\pi\)
0.949441 + 0.313945i \(0.101651\pi\)
\(752\) −0.554449 1.08817i −0.0202187 0.0396814i
\(753\) 1.48169 + 0.481430i 0.0539957 + 0.0175443i
\(754\) 15.2875 + 12.9923i 0.556737 + 0.473151i
\(755\) 22.3931 7.27595i 0.814967 0.264799i
\(756\) −4.02864 + 0.638073i −0.146520 + 0.0232065i
\(757\) −13.4321 18.4876i −0.488197 0.671945i 0.491858 0.870676i \(-0.336318\pi\)
−0.980054 + 0.198731i \(0.936318\pi\)
\(758\) 27.6983 + 8.99973i 1.00605 + 0.326885i
\(759\) −0.227696 + 1.43761i −0.00826482 + 0.0521820i
\(760\) 21.4829 + 3.40255i 0.779265 + 0.123423i
\(761\) 12.9330 6.58967i 0.468819 0.238875i −0.203588 0.979057i \(-0.565260\pi\)
0.672407 + 0.740181i \(0.265260\pi\)
\(762\) 1.77953 11.2355i 0.0644656 0.407019i
\(763\) −1.05204 0.764349i −0.0380862 0.0276713i
\(764\) −7.23194 + 2.34980i −0.261642 + 0.0850127i
\(765\) −0.915941 5.78302i −0.0331159 0.209086i
\(766\) 0.0312649 0.0962235i 0.00112965 0.00347670i
\(767\) 6.37907 15.5075i 0.230335 0.559942i
\(768\) −14.0889 + 4.57776i −0.508390 + 0.165186i
\(769\) 3.35786 + 3.35786i 0.121088 + 0.121088i 0.765054 0.643966i \(-0.222712\pi\)
−0.643966 + 0.765054i \(0.722712\pi\)
\(770\) 2.70628i 0.0975275i
\(771\) 3.24638 + 9.99132i 0.116915 + 0.359829i
\(772\) −8.68056 1.37487i −0.312420 0.0494825i
\(773\) 25.8719 4.09771i 0.930548 0.147384i 0.327284 0.944926i \(-0.393867\pi\)
0.603264 + 0.797542i \(0.293867\pi\)
\(774\) −2.46180 2.46180i −0.0884876 0.0884876i
\(775\) −13.3246 5.44164i −0.478635 0.195470i
\(776\) 26.5783 0.954105
\(777\) −18.0642 + 24.8632i −0.648049 + 0.891963i
\(778\) 5.89890 + 0.934293i 0.211486 + 0.0334960i
\(779\) −15.1534 + 4.92364i −0.542927 + 0.176408i
\(780\) 0.273744 3.59037i 0.00980162 0.128556i
\(781\) 9.88210i 0.353609i
\(782\) −6.93847 + 13.6175i −0.248119 + 0.486962i
\(783\) 6.16000 18.9585i 0.220141 0.677523i
\(784\) 16.9701 + 5.51392i 0.606075 + 0.196926i
\(785\) 0.892521 + 5.63516i 0.0318555 + 0.201127i
\(786\) 27.4039 + 13.9630i 0.977466 + 0.498044i
\(787\) 5.61509 + 35.4523i 0.200156 + 1.26374i 0.859203 + 0.511635i \(0.170960\pi\)
−0.659046 + 0.752102i \(0.729040\pi\)
\(788\) −3.17642 0.503095i −0.113155 0.0179220i
\(789\) −4.31782 + 13.2889i −0.153719 + 0.473097i
\(790\) 20.3152 14.7599i 0.722782 0.525132i
\(791\) 2.57626 16.2659i 0.0916014 0.578348i
\(792\) 0.272283 0.838000i 0.00967515 0.0297770i
\(793\) 9.14740 38.5159i 0.324834 1.36774i
\(794\) −12.5236 9.09896i −0.444448 0.322910i
\(795\) 11.6125 22.7908i 0.411853 0.808307i
\(796\) −0.518697 + 0.713925i −0.0183847 + 0.0253044i
\(797\) −5.39239 + 16.5961i −0.191008 + 0.587863i 0.808992 + 0.587820i \(0.200014\pi\)
−1.00000 4.31065e-5i \(0.999986\pi\)
\(798\) −11.1061 21.7969i −0.393151 0.771602i
\(799\) −1.55378 0.791689i −0.0549687 0.0280079i
\(800\) 4.19654 4.19654i 0.148370 0.148370i
\(801\) −0.645761 0.645761i −0.0228168 0.0228168i
\(802\) −1.99737 + 0.648985i −0.0705296 + 0.0229165i
\(803\) 5.18500 + 7.13654i 0.182975 + 0.251843i
\(804\) −0.612033 3.86423i −0.0215848 0.136281i
\(805\) −4.09458 −0.144315
\(806\) −27.8837 13.9477i −0.982160 0.491285i
\(807\) 32.1711 1.13248
\(808\) −0.812710 5.13125i −0.0285910 0.180517i
\(809\) 21.5975 + 29.7264i 0.759326 + 1.04512i 0.997270 + 0.0738442i \(0.0235267\pi\)
−0.237943 + 0.971279i \(0.576473\pi\)
\(810\) −16.0164 + 5.20404i −0.562758 + 0.182851i
\(811\) −14.2123 14.2123i −0.499061 0.499061i 0.412084 0.911146i \(-0.364801\pi\)
−0.911146 + 0.412084i \(0.864801\pi\)
\(812\) −1.85728 + 1.85728i −0.0651777 + 0.0651777i
\(813\) −2.13882 1.08979i −0.0750119 0.0382205i
\(814\) 4.91982 + 9.65568i 0.172439 + 0.338432i
\(815\) −1.83399 + 5.64444i −0.0642419 + 0.197716i
\(816\) −28.3588 + 39.0326i −0.992757 + 1.36641i
\(817\) 10.1875 19.9941i 0.356415 0.699504i
\(818\) 1.28462 + 0.933335i 0.0449159 + 0.0326333i
\(819\) −3.09666 + 1.90806i −0.108206 + 0.0666729i
\(820\) 0.555465 1.70955i 0.0193977 0.0596999i
\(821\) −2.85486 + 18.0249i −0.0996355 + 0.629073i 0.886449 + 0.462827i \(0.153165\pi\)
−0.986084 + 0.166247i \(0.946835\pi\)
\(822\) −23.5856 + 17.1360i −0.822643 + 0.597685i
\(823\) −4.13808 + 12.7357i −0.144244 + 0.443938i −0.996913 0.0785137i \(-0.974983\pi\)
0.852669 + 0.522452i \(0.174983\pi\)
\(824\) −23.6180 3.74072i −0.822771 0.130314i
\(825\) −0.397501 2.50972i −0.0138392 0.0873773i
\(826\) 11.4513 + 5.83474i 0.398442 + 0.203016i
\(827\) −6.04575 38.1714i −0.210231 1.32735i −0.836597 0.547819i \(-0.815458\pi\)
0.626366 0.779529i \(-0.284542\pi\)
\(828\) −0.328947 0.106881i −0.0114317 0.00371439i
\(829\) 1.77590 5.46565i 0.0616795 0.189830i −0.915469 0.402389i \(-0.868180\pi\)
0.977148 + 0.212559i \(0.0681799\pi\)
\(830\) 14.4706 28.4001i 0.502281 0.985781i
\(831\) 17.5740i 0.609637i
\(832\) −15.7125 + 13.4863i −0.544733 + 0.467552i
\(833\) 24.2313 7.87324i 0.839566 0.272792i
\(834\) −13.8296 2.19040i −0.478881 0.0758473i
\(835\) −14.6324 + 20.1397i −0.506374 + 0.696964i
\(836\) −1.47345 −0.0509603
\(837\) −2.27664 + 30.8942i −0.0786921 + 1.06786i
\(838\) −10.6873 10.6873i −0.369186 0.369186i
\(839\) −2.64365 + 0.418713i −0.0912689 + 0.0144556i −0.201902 0.979406i \(-0.564712\pi\)
0.110633 + 0.993861i \(0.464712\pi\)
\(840\) −10.5065 1.66407i −0.362510 0.0574159i
\(841\) 4.99474 + 15.3722i 0.172232 + 0.530077i
\(842\) 36.5776i 1.26055i
\(843\) −6.79741 6.79741i −0.234115 0.234115i
\(844\) −7.41838 + 2.41038i −0.255351 + 0.0829686i
\(845\) −6.33660 19.1826i −0.217986 0.659903i
\(846\) 0.0713961 0.219734i 0.00245465 0.00755463i
\(847\) −2.95139 18.6343i −0.101411 0.640283i
\(848\) 46.7095 15.1769i 1.60401 0.521175i
\(849\) 24.3857 + 17.7173i 0.836917 + 0.608056i
\(850\) 4.17382 26.3524i 0.143161 0.903881i
\(851\) −14.6090 + 7.44365i −0.500790 + 0.255165i
\(852\) 9.95362 + 1.57650i 0.341005 + 0.0540100i
\(853\) 4.12199 26.0252i 0.141134 0.891087i −0.810920 0.585157i \(-0.801033\pi\)
0.952054 0.305930i \(-0.0989673\pi\)
\(854\) 28.8568 + 9.37616i 0.987461 + 0.320845i
\(855\) 2.93893 + 4.04510i 0.100509 + 0.138339i
\(856\) −41.5078 + 6.57419i −1.41871 + 0.224701i
\(857\) 10.6340 3.45518i 0.363249 0.118027i −0.121705 0.992566i \(-0.538836\pi\)
0.484954 + 0.874540i \(0.338836\pi\)
\(858\) −0.445261 5.48619i −0.0152009 0.187295i
\(859\) 17.3792 + 5.64684i 0.592971 + 0.192668i 0.590103 0.807328i \(-0.299087\pi\)
0.00286778 + 0.999996i \(0.499087\pi\)
\(860\) 1.14931 + 2.25565i 0.0391912 + 0.0769170i
\(861\) 7.41101 2.40798i 0.252567 0.0820638i
\(862\) 5.22019i 0.177800i
\(863\) 21.8075 21.8075i 0.742335 0.742335i −0.230692 0.973027i \(-0.574099\pi\)
0.973027 + 0.230692i \(0.0740989\pi\)
\(864\) −11.3813 5.79904i −0.387198 0.197287i
\(865\) 3.79182 23.9406i 0.128926 0.814005i
\(866\) 8.28656 + 52.3193i 0.281589 + 1.77788i
\(867\) 42.3739i 1.43909i
\(868\) 2.11535 3.49085i 0.0717995 0.118487i
\(869\) 4.63624 4.63624i 0.157274 0.157274i
\(870\) −7.92800 + 10.9120i −0.268784 + 0.369950i
\(871\) −11.5147 18.6877i −0.390162 0.633209i
\(872\) −0.556961 1.71415i −0.0188611 0.0580484i
\(873\) 4.32027 + 4.32027i 0.146219 + 0.146219i
\(874\) 13.0513i 0.441466i
\(875\) 19.9475 6.48134i 0.674349 0.219109i
\(876\) 8.01536 4.08403i 0.270814 0.137987i
\(877\) 19.8369 10.1074i 0.669844 0.341302i −0.0857746 0.996315i \(-0.527336\pi\)
0.755618 + 0.655012i \(0.227336\pi\)
\(878\) −14.9278 + 2.36433i −0.503788 + 0.0797921i
\(879\) −19.4082 + 38.0907i −0.654622 + 1.28477i
\(880\) −2.67906 + 3.68741i −0.0903111 + 0.124303i
\(881\) 7.66380 5.56808i 0.258200 0.187593i −0.451153 0.892447i \(-0.648987\pi\)
0.709353 + 0.704853i \(0.248987\pi\)
\(882\) 1.53251 + 3.00771i 0.0516021 + 0.101275i
\(883\) 16.7358 12.1593i 0.563206 0.409193i −0.269425 0.963021i \(-0.586834\pi\)
0.832631 + 0.553829i \(0.186834\pi\)
\(884\) 2.28114 9.60495i 0.0767232 0.323050i
\(885\) 10.7214 + 3.48360i 0.360397 + 0.117100i
\(886\) −15.6547 2.47946i −0.525930 0.0832991i
\(887\) 5.44677 + 3.95731i 0.182885 + 0.132873i 0.675461 0.737396i \(-0.263945\pi\)
−0.492576 + 0.870269i \(0.663945\pi\)
\(888\) −40.5112 + 13.1629i −1.35947 + 0.441718i
\(889\) 8.25273 1.30710i 0.276788 0.0438389i
\(890\) 1.76497 + 3.46395i 0.0591619 + 0.116112i
\(891\) −3.91793 + 1.99628i −0.131256 + 0.0668780i
\(892\) −1.70373 + 3.34375i −0.0570450 + 0.111957i
\(893\) 1.48917 0.0498331
\(894\) 43.3441 1.44965
\(895\) 5.33558 10.4717i 0.178349 0.350029i
\(896\) −14.1309 19.4495i −0.472080 0.649763i
\(897\) 8.30057 0.673676i 0.277148 0.0224934i
\(898\) 22.6432i 0.755613i
\(899\) 10.5076 + 16.9566i 0.350448 + 0.565536i
\(900\) 0.603815 0.0201272
\(901\) 41.2203 56.7348i 1.37325 1.89011i
\(902\) 0.429839 2.71390i 0.0143121 0.0903629i
\(903\) −4.98235 + 9.77841i −0.165802 + 0.325405i
\(904\) 16.1403 16.1403i 0.536819 0.536819i
\(905\) −15.2428 15.2428i −0.506687 0.506687i
\(906\) −11.3423 34.9080i −0.376822 1.15974i
\(907\) −34.3601 11.1643i −1.14091 0.370703i −0.323196 0.946332i \(-0.604757\pi\)
−0.817711 + 0.575629i \(0.804757\pi\)
\(908\) −1.14896 2.25497i −0.0381297 0.0748338i
\(909\) 0.701973 0.966184i 0.0232830 0.0320463i
\(910\) 15.0473 3.65144i 0.498814 0.121044i
\(911\) 2.18850 3.01221i 0.0725083 0.0997991i −0.771223 0.636566i \(-0.780354\pi\)
0.843731 + 0.536767i \(0.180354\pi\)
\(912\) 6.44522 40.6935i 0.213423 1.34750i
\(913\) 2.57181 7.91521i 0.0851144 0.261955i
\(914\) −17.1178 + 12.4368i −0.566207 + 0.411374i
\(915\) 26.2866 + 4.16338i 0.869007 + 0.137637i
\(916\) 4.70854 + 9.24103i 0.155575 + 0.305332i
\(917\) −3.53402 + 22.3129i −0.116704 + 0.736838i
\(918\) −56.7184 + 8.98330i −1.87198 + 0.296493i
\(919\) 9.77466 + 30.0833i 0.322436 + 0.992357i 0.972585 + 0.232550i \(0.0747068\pi\)
−0.650148 + 0.759807i \(0.725293\pi\)
\(920\) −4.59131 3.33578i −0.151371 0.109977i
\(921\) 7.67140 3.90877i 0.252781 0.128798i
\(922\) −10.5802 + 32.5627i −0.348442 + 1.07239i
\(923\) 54.9460 13.3334i 1.80857 0.438875i
\(924\) 0.720613 0.0237064
\(925\) 20.2399 20.2399i 0.665483 0.665483i
\(926\) −1.42612 + 0.463373i −0.0468651 + 0.0152274i
\(927\) −3.23102 4.44712i −0.106121 0.146063i
\(928\) −8.12425 + 1.28675i −0.266692 + 0.0422398i
\(929\) −19.6103 + 19.6103i −0.643393 + 0.643393i −0.951388 0.307995i \(-0.900342\pi\)
0.307995 + 0.951388i \(0.400342\pi\)
\(930\) 7.92463 19.4046i 0.259859 0.636302i
\(931\) −15.3848 + 15.3848i −0.504217 + 0.504217i
\(932\) −4.87444 3.54149i −0.159668 0.116005i
\(933\) −8.08572 + 5.87462i −0.264714 + 0.192326i
\(934\) 17.4849 + 8.90902i 0.572124 + 0.291512i
\(935\) 6.50814i 0.212839i
\(936\) −5.02679 0.383263i −0.164306 0.0125273i
\(937\) 13.4451 + 41.3796i 0.439231 + 1.35181i 0.888688 + 0.458512i \(0.151617\pi\)
−0.449457 + 0.893302i \(0.648383\pi\)
\(938\) 14.9903 7.63793i 0.489450 0.249387i
\(939\) 13.0734 40.2358i 0.426635 1.31305i
\(940\) −0.0987491 + 0.135917i −0.00322084 + 0.00443311i
\(941\) −7.57814 3.86125i −0.247040 0.125873i 0.326087 0.945340i \(-0.394270\pi\)
−0.573127 + 0.819467i \(0.694270\pi\)
\(942\) 8.78450 1.39133i 0.286215 0.0453319i
\(943\) 4.10611 + 0.650344i 0.133713 + 0.0211781i
\(944\) 9.82682 + 19.2862i 0.319836 + 0.627713i
\(945\) −9.04304 12.4467i −0.294170 0.404891i
\(946\) 2.27462 + 3.13074i 0.0739542 + 0.101789i
\(947\) −40.6884 + 20.7318i −1.32220 + 0.673693i −0.965469 0.260516i \(-0.916107\pi\)
−0.356727 + 0.934209i \(0.616107\pi\)
\(948\) −3.93017 5.40942i −0.127646 0.175690i
\(949\) 32.6844 38.4584i 1.06098 1.24841i
\(950\) 7.04076 + 21.6692i 0.228432 + 0.703042i
\(951\) −23.0138 + 3.64503i −0.746274 + 0.118198i
\(952\) −27.7369 9.01228i −0.898959 0.292090i
\(953\) 4.73253 14.5652i 0.153302 0.471814i −0.844683 0.535267i \(-0.820211\pi\)
0.997985 + 0.0634525i \(0.0202111\pi\)
\(954\) 8.27860 + 4.21816i 0.268030 + 0.136568i
\(955\) −20.2811 20.2811i −0.656280 0.656280i
\(956\) 0.455154 + 0.455154i 0.0147207 + 0.0147207i
\(957\) −1.59886 + 3.13793i −0.0516837 + 0.101435i
\(958\) 40.3660 29.3276i 1.30417 0.947532i
\(959\) −17.3242 12.5867i −0.559427 0.406447i
\(960\) −9.84354 9.84354i −0.317699 0.317699i
\(961\) −22.1376 21.7008i −0.714116 0.700027i
\(962\) 47.0491 40.3829i 1.51692 1.30200i
\(963\) −7.81568 5.67842i −0.251857 0.182985i
\(964\) 1.81562 11.4633i 0.0584771 0.369210i
\(965\) −10.2440 31.5277i −0.329765 1.01491i
\(966\) 6.38293i 0.205368i
\(967\) −4.04447 + 4.04447i −0.130061 + 0.130061i −0.769141 0.639079i \(-0.779316\pi\)
0.639079 + 0.769141i \(0.279316\pi\)
\(968\) 11.8716 23.2994i 0.381568 0.748870i
\(969\) −26.7082 52.4178i −0.857992 1.68390i
\(970\) −11.8080 23.1745i −0.379133 0.744089i
\(971\) −3.77467 2.74246i −0.121135 0.0880098i 0.525568 0.850751i \(-0.323853\pi\)
−0.646703 + 0.762742i \(0.723853\pi\)
\(972\) −0.739360 2.27552i −0.0237150 0.0729872i
\(973\) −1.60890 10.1582i −0.0515789 0.325656i
\(974\) −25.7245 + 18.6899i −0.824266 + 0.598864i
\(975\) −13.4181 + 5.59641i −0.429724 + 0.179229i
\(976\) 30.0367 + 41.3420i 0.961453 + 1.32333i
\(977\) −8.36049 1.32417i −0.267476 0.0423640i 0.0212558 0.999774i \(-0.493234\pi\)
−0.288732 + 0.957410i \(0.593234\pi\)
\(978\) 8.79897 + 2.85896i 0.281360 + 0.0914195i
\(979\) 0.596660 + 0.821232i 0.0190693 + 0.0262467i
\(980\) −0.383982 2.42436i −0.0122658 0.0774435i
\(981\) 0.188100 0.369166i 0.00600556 0.0117866i
\(982\) −3.80731 24.0384i −0.121496 0.767097i
\(983\) 15.6865 7.99267i 0.500322 0.254927i −0.185569 0.982631i \(-0.559413\pi\)
0.685891 + 0.727705i \(0.259413\pi\)
\(984\) 10.2718 + 3.33751i 0.327453 + 0.106396i
\(985\) −3.74850 11.5367i −0.119437 0.367590i
\(986\) −26.1483 + 26.1483i −0.832730 + 0.832730i
\(987\) −0.728301 −0.0231821
\(988\) 1.98805 + 8.19260i 0.0632483 + 0.260641i
\(989\) −4.73679 + 3.44148i −0.150621 + 0.109433i
\(990\) −0.851649 + 0.134888i −0.0270672 + 0.00428702i
\(991\) 35.1891i 1.11782i 0.829229 + 0.558909i \(0.188780\pi\)
−0.829229 + 0.558909i \(0.811220\pi\)
\(992\) 11.7850 4.95044i 0.374175 0.157177i
\(993\) −24.5079 24.5079i −0.777734 0.777734i
\(994\) 6.77922 + 42.8023i 0.215024 + 1.35761i
\(995\) −3.28755 0.520697i −0.104222 0.0165072i
\(996\) −7.56222 3.85314i −0.239618 0.122092i
\(997\) −2.19170 −0.0694119 −0.0347059 0.999398i \(-0.511049\pi\)
−0.0347059 + 0.999398i \(0.511049\pi\)
\(998\) −44.2173 −1.39968
\(999\) −54.8917 27.9687i −1.73670 0.884891i
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 403.2.bn.a.60.8 272
13.5 odd 4 inner 403.2.bn.a.122.8 yes 272
31.15 odd 10 inner 403.2.bn.a.294.8 yes 272
403.356 even 20 inner 403.2.bn.a.356.8 yes 272
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
403.2.bn.a.60.8 272 1.1 even 1 trivial
403.2.bn.a.122.8 yes 272 13.5 odd 4 inner
403.2.bn.a.294.8 yes 272 31.15 odd 10 inner
403.2.bn.a.356.8 yes 272 403.356 even 20 inner