Properties

Label 441.2.z.a.142.27
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.27
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.27

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0656055 + 0.167160i) q^{2} +(-1.14690 - 1.29793i) q^{3} +(1.44247 + 1.33841i) q^{4} +(-0.436036 + 0.209984i) q^{5} +(0.292205 - 0.106565i) q^{6} +(-2.25383 - 1.38573i) q^{7} +(-0.641942 + 0.309143i) q^{8} +(-0.369227 + 2.97719i) q^{9} +O(q^{10})\) \(q+(-0.0656055 + 0.167160i) q^{2} +(-1.14690 - 1.29793i) q^{3} +(1.44247 + 1.33841i) q^{4} +(-0.436036 + 0.209984i) q^{5} +(0.292205 - 0.106565i) q^{6} +(-2.25383 - 1.38573i) q^{7} +(-0.641942 + 0.309143i) q^{8} +(-0.369227 + 2.97719i) q^{9} +(-0.00649456 - 0.0866639i) q^{10} +(-3.81220 - 4.78034i) q^{11} +(0.0827931 - 3.40724i) q^{12} +(1.89415 - 4.82621i) q^{13} +(0.379503 - 0.285838i) q^{14} +(0.772635 + 0.325112i) q^{15} +(0.284539 + 3.79691i) q^{16} +(0.806095 - 0.747947i) q^{17} +(-0.473444 - 0.257040i) q^{18} +(1.79279 - 3.10521i) q^{19} +(-0.910013 - 0.280702i) q^{20} +(0.786339 + 4.51461i) q^{21} +(1.04918 - 0.323630i) q^{22} +(0.737615 - 3.23170i) q^{23} +(1.13749 + 0.478637i) q^{24} +(-2.97141 + 3.72604i) q^{25} +(0.682483 + 0.633252i) q^{26} +(4.28764 - 2.93532i) q^{27} +(-1.39638 - 5.01543i) q^{28} +(-7.60065 - 2.34449i) q^{29} +(-0.105035 + 0.107825i) q^{30} +(1.23019 - 2.13074i) q^{31} +(-2.01505 - 0.621562i) q^{32} +(-1.83232 + 10.4305i) q^{33} +(0.0721426 + 0.183816i) q^{34} +(1.27373 + 0.130963i) q^{35} +(-4.51731 + 3.80032i) q^{36} +(-2.90076 - 0.894766i) q^{37} +(0.401449 + 0.503401i) q^{38} +(-8.43647 + 3.07673i) q^{39} +(0.214995 - 0.269595i) q^{40} +(-4.21620 - 2.87456i) q^{41} +(-0.806250 - 0.164738i) q^{42} +(9.04185 - 6.16463i) q^{43} +(0.899109 - 11.9978i) q^{44} +(-0.464166 - 1.37570i) q^{45} +(0.491820 + 0.335317i) q^{46} +(-1.72832 + 4.40367i) q^{47} +(4.60178 - 4.72400i) q^{48} +(3.15948 + 6.24642i) q^{49} +(-0.427903 - 0.741150i) q^{50} +(-1.89529 - 0.188430i) q^{51} +(9.19171 - 4.42649i) q^{52} +(1.23069 - 0.379617i) q^{53} +(0.209375 + 0.909296i) q^{54} +(2.66605 + 1.28390i) q^{55} +(1.87522 + 0.192807i) q^{56} +(-6.08649 + 1.23446i) q^{57} +(0.890549 - 1.11671i) q^{58} +(1.67053 - 1.13895i) q^{59} +(0.679366 + 1.50307i) q^{60} +(-6.03777 + 5.60224i) q^{61} +(0.275468 + 0.345426i) q^{62} +(4.95777 - 6.19843i) q^{63} +(-4.51185 + 5.65768i) q^{64} +(0.187510 + 2.50214i) q^{65} +(-1.62336 - 0.990590i) q^{66} +(-2.87122 + 4.97310i) q^{67} +2.16383 q^{68} +(-5.04049 + 2.74908i) q^{69} +(-0.105456 + 0.204325i) q^{70} +(-1.22532 + 5.36849i) q^{71} +(-0.683356 - 2.02533i) q^{72} +(8.43094 + 1.27076i) q^{73} +(0.339875 - 0.426189i) q^{74} +(8.24405 - 0.416724i) q^{75} +(6.74208 - 2.07966i) q^{76} +(1.96774 + 16.0568i) q^{77} +(0.0391724 - 1.61209i) q^{78} +(3.21813 + 5.57397i) q^{79} +(-0.921361 - 1.59584i) q^{80} +(-8.72734 - 2.19852i) q^{81} +(0.757117 - 0.516194i) q^{82} +(-5.79543 - 14.7665i) q^{83} +(-4.90814 + 7.56461i) q^{84} +(-0.194430 + 0.495399i) q^{85} +(0.437285 + 1.91587i) q^{86} +(5.67423 + 12.5540i) q^{87} +(3.92502 + 1.89019i) q^{88} +(2.89495 + 7.37622i) q^{89} +(0.260413 + 0.0126631i) q^{90} +(-10.9569 + 8.25266i) q^{91} +(5.38933 - 3.67439i) q^{92} +(-4.17645 + 0.847066i) q^{93} +(-0.622731 - 0.577810i) q^{94} +(-0.129679 + 1.73044i) q^{95} +(1.50433 + 3.32826i) q^{96} +(0.729999 - 1.26440i) q^{97} +(-1.25143 + 0.118339i) q^{98} +(15.6396 - 9.58461i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0656055 + 0.167160i −0.0463901 + 0.118200i −0.952191 0.305504i \(-0.901175\pi\)
0.905801 + 0.423704i \(0.139270\pi\)
\(3\) −1.14690 1.29793i −0.662165 0.749358i
\(4\) 1.44247 + 1.33841i 0.721233 + 0.669206i
\(5\) −0.436036 + 0.209984i −0.195001 + 0.0939077i −0.528836 0.848724i \(-0.677371\pi\)
0.333835 + 0.942632i \(0.391657\pi\)
\(6\) 0.292205 0.106565i 0.119292 0.0435051i
\(7\) −2.25383 1.38573i −0.851867 0.523759i
\(8\) −0.641942 + 0.309143i −0.226961 + 0.109299i
\(9\) −0.369227 + 2.97719i −0.123076 + 0.992397i
\(10\) −0.00649456 0.0866639i −0.00205376 0.0274055i
\(11\) −3.81220 4.78034i −1.14942 1.44133i −0.877867 0.478904i \(-0.841034\pi\)
−0.271553 0.962423i \(-0.587537\pi\)
\(12\) 0.0827931 3.40724i 0.0239003 0.983586i
\(13\) 1.89415 4.82621i 0.525342 1.33855i −0.384319 0.923200i \(-0.625564\pi\)
0.909662 0.415350i \(-0.136341\pi\)
\(14\) 0.379503 0.285838i 0.101426 0.0763934i
\(15\) 0.772635 + 0.325112i 0.199494 + 0.0839435i
\(16\) 0.284539 + 3.79691i 0.0711348 + 0.949228i
\(17\) 0.806095 0.747947i 0.195507 0.181404i −0.576345 0.817207i \(-0.695521\pi\)
0.771851 + 0.635803i \(0.219331\pi\)
\(18\) −0.473444 0.257040i −0.111592 0.0605849i
\(19\) 1.79279 3.10521i 0.411294 0.712383i −0.583737 0.811943i \(-0.698410\pi\)
0.995032 + 0.0995598i \(0.0317435\pi\)
\(20\) −0.910013 0.280702i −0.203485 0.0627668i
\(21\) 0.786339 + 4.51461i 0.171593 + 0.985168i
\(22\) 1.04918 0.323630i 0.223687 0.0689982i
\(23\) 0.737615 3.23170i 0.153803 0.673857i −0.837956 0.545738i \(-0.816249\pi\)
0.991759 0.128118i \(-0.0408936\pi\)
\(24\) 1.13749 + 0.478637i 0.232189 + 0.0977013i
\(25\) −2.97141 + 3.72604i −0.594283 + 0.745207i
\(26\) 0.682483 + 0.633252i 0.133846 + 0.124191i
\(27\) 4.28764 2.93532i 0.825158 0.564903i
\(28\) −1.39638 5.01543i −0.263892 0.947826i
\(29\) −7.60065 2.34449i −1.41140 0.435361i −0.506966 0.861966i \(-0.669233\pi\)
−0.904438 + 0.426605i \(0.859709\pi\)
\(30\) −0.105035 + 0.107825i −0.0191766 + 0.0196860i
\(31\) 1.23019 2.13074i 0.220948 0.382693i −0.734148 0.678989i \(-0.762418\pi\)
0.955096 + 0.296296i \(0.0957516\pi\)
\(32\) −2.01505 0.621562i −0.356215 0.109878i
\(33\) −1.83232 + 10.4305i −0.318965 + 1.81572i
\(34\) 0.0721426 + 0.183816i 0.0123724 + 0.0315242i
\(35\) 1.27373 + 0.130963i 0.215300 + 0.0221368i
\(36\) −4.51731 + 3.80032i −0.752885 + 0.633386i
\(37\) −2.90076 0.894766i −0.476882 0.147099i 0.0469906 0.998895i \(-0.485037\pi\)
−0.523872 + 0.851797i \(0.675513\pi\)
\(38\) 0.401449 + 0.503401i 0.0651237 + 0.0816625i
\(39\) −8.43647 + 3.07673i −1.35092 + 0.492671i
\(40\) 0.214995 0.269595i 0.0339937 0.0426268i
\(41\) −4.21620 2.87456i −0.658460 0.448931i 0.187437 0.982277i \(-0.439982\pi\)
−0.845897 + 0.533346i \(0.820934\pi\)
\(42\) −0.806250 0.164738i −0.124407 0.0254197i
\(43\) 9.04185 6.16463i 1.37887 0.940097i 0.378978 0.925406i \(-0.376276\pi\)
0.999892 0.0146917i \(-0.00467667\pi\)
\(44\) 0.899109 11.9978i 0.135546 1.80873i
\(45\) −0.464166 1.37570i −0.0691938 0.205077i
\(46\) 0.491820 + 0.335317i 0.0725149 + 0.0494398i
\(47\) −1.72832 + 4.40367i −0.252101 + 0.642342i −0.999764 0.0217363i \(-0.993081\pi\)
0.747663 + 0.664078i \(0.231176\pi\)
\(48\) 4.60178 4.72400i 0.664209 0.681851i
\(49\) 3.15948 + 6.24642i 0.451354 + 0.892345i
\(50\) −0.427903 0.741150i −0.0605146 0.104814i
\(51\) −1.89529 0.188430i −0.265394 0.0263854i
\(52\) 9.19171 4.42649i 1.27466 0.613844i
\(53\) 1.23069 0.379617i 0.169048 0.0521444i −0.209076 0.977899i \(-0.567046\pi\)
0.378124 + 0.925755i \(0.376569\pi\)
\(54\) 0.209375 + 0.909296i 0.0284924 + 0.123739i
\(55\) 2.66605 + 1.28390i 0.359490 + 0.173121i
\(56\) 1.87522 + 0.192807i 0.250587 + 0.0257649i
\(57\) −6.08649 + 1.23446i −0.806175 + 0.163508i
\(58\) 0.890549 1.11671i 0.116935 0.146632i
\(59\) 1.67053 1.13895i 0.217484 0.148278i −0.449678 0.893191i \(-0.648461\pi\)
0.667162 + 0.744913i \(0.267509\pi\)
\(60\) 0.679366 + 1.50307i 0.0877058 + 0.194045i
\(61\) −6.03777 + 5.60224i −0.773058 + 0.717293i −0.964463 0.264218i \(-0.914886\pi\)
0.191405 + 0.981511i \(0.438696\pi\)
\(62\) 0.275468 + 0.345426i 0.0349845 + 0.0438692i
\(63\) 4.95777 6.19843i 0.624621 0.780928i
\(64\) −4.51185 + 5.65768i −0.563981 + 0.707210i
\(65\) 0.187510 + 2.50214i 0.0232577 + 0.310353i
\(66\) −1.62336 0.990590i −0.199822 0.121933i
\(67\) −2.87122 + 4.97310i −0.350776 + 0.607561i −0.986386 0.164449i \(-0.947415\pi\)
0.635610 + 0.772010i \(0.280749\pi\)
\(68\) 2.16383 0.262403
\(69\) −5.04049 + 2.74908i −0.606803 + 0.330950i
\(70\) −0.105456 + 0.204325i −0.0126044 + 0.0244215i
\(71\) −1.22532 + 5.36849i −0.145419 + 0.637123i 0.848704 + 0.528868i \(0.177383\pi\)
−0.994123 + 0.108255i \(0.965474\pi\)
\(72\) −0.683356 2.02533i −0.0805343 0.238687i
\(73\) 8.43094 + 1.27076i 0.986767 + 0.148731i 0.622548 0.782582i \(-0.286098\pi\)
0.364219 + 0.931313i \(0.381336\pi\)
\(74\) 0.339875 0.426189i 0.0395096 0.0495435i
\(75\) 8.24405 0.416724i 0.951940 0.0481191i
\(76\) 6.74208 2.07966i 0.773370 0.238553i
\(77\) 1.96774 + 16.0568i 0.224245 + 1.82984i
\(78\) 0.0391724 1.61209i 0.00443540 0.182533i
\(79\) 3.21813 + 5.57397i 0.362068 + 0.627120i 0.988301 0.152516i \(-0.0487374\pi\)
−0.626233 + 0.779636i \(0.715404\pi\)
\(80\) −0.921361 1.59584i −0.103011 0.178421i
\(81\) −8.72734 2.19852i −0.969705 0.244280i
\(82\) 0.757117 0.516194i 0.0836096 0.0570041i
\(83\) −5.79543 14.7665i −0.636131 1.62083i −0.776050 0.630671i \(-0.782780\pi\)
0.139919 0.990163i \(-0.455316\pi\)
\(84\) −4.90814 + 7.56461i −0.535522 + 0.825367i
\(85\) −0.194430 + 0.495399i −0.0210889 + 0.0537336i
\(86\) 0.437285 + 1.91587i 0.0471536 + 0.206594i
\(87\) 5.67423 + 12.5540i 0.608341 + 1.34593i
\(88\) 3.92502 + 1.89019i 0.418409 + 0.201495i
\(89\) 2.89495 + 7.37622i 0.306864 + 0.781878i 0.998236 + 0.0593779i \(0.0189117\pi\)
−0.691371 + 0.722500i \(0.742993\pi\)
\(90\) 0.260413 + 0.0126631i 0.0274500 + 0.00133481i
\(91\) −10.9569 + 8.25266i −1.14860 + 0.865114i
\(92\) 5.38933 3.67439i 0.561877 0.383081i
\(93\) −4.17645 + 0.847066i −0.433078 + 0.0878366i
\(94\) −0.622731 0.577810i −0.0642298 0.0595966i
\(95\) −0.129679 + 1.73044i −0.0133047 + 0.177539i
\(96\) 1.50433 + 3.32826i 0.153535 + 0.339690i
\(97\) 0.729999 1.26440i 0.0741202 0.128380i −0.826583 0.562815i \(-0.809718\pi\)
0.900703 + 0.434435i \(0.143052\pi\)
\(98\) −1.25143 + 0.118339i −0.126413 + 0.0119541i
\(99\) 15.6396 9.58461i 1.57184 0.963289i
\(100\) −9.27314 + 1.39770i −0.927314 + 0.139770i
\(101\) 16.4954 7.94375i 1.64135 0.790432i 0.641624 0.767019i \(-0.278261\pi\)
0.999726 0.0234131i \(-0.00745332\pi\)
\(102\) 0.155840 0.304455i 0.0154304 0.0301456i
\(103\) 9.07824 4.37185i 0.894506 0.430771i 0.0706042 0.997504i \(-0.477507\pi\)
0.823901 + 0.566733i \(0.191793\pi\)
\(104\) 0.276056 + 3.68371i 0.0270695 + 0.361218i
\(105\) −1.29087 1.80341i −0.125976 0.175995i
\(106\) −0.0172831 + 0.230627i −0.00167868 + 0.0224004i
\(107\) 5.96971 + 15.2106i 0.577113 + 1.47046i 0.859488 + 0.511156i \(0.170783\pi\)
−0.282375 + 0.959304i \(0.591122\pi\)
\(108\) 10.1134 + 1.50454i 0.973167 + 0.144774i
\(109\) 3.26466 8.31822i 0.312698 0.796741i −0.684976 0.728566i \(-0.740187\pi\)
0.997673 0.0681747i \(-0.0217175\pi\)
\(110\) −0.389525 + 0.361426i −0.0371397 + 0.0344606i
\(111\) 2.16555 + 4.79118i 0.205545 + 0.454759i
\(112\) 4.62021 8.95189i 0.436569 0.845874i
\(113\) 12.2184 + 1.84163i 1.14941 + 0.173246i 0.695990 0.718052i \(-0.254966\pi\)
0.453420 + 0.891297i \(0.350204\pi\)
\(114\) 0.192955 1.09840i 0.0180719 0.102875i
\(115\) 0.356979 + 1.56403i 0.0332885 + 0.145846i
\(116\) −7.82578 13.5546i −0.726605 1.25852i
\(117\) 13.6692 + 7.42121i 1.26372 + 0.686091i
\(118\) 0.0807906 + 0.353967i 0.00743738 + 0.0325853i
\(119\) −2.85326 + 0.568709i −0.261558 + 0.0521335i
\(120\) −0.596493 + 0.0301518i −0.0544521 + 0.00275247i
\(121\) −5.87111 + 25.7230i −0.533737 + 2.33846i
\(122\) −0.540359 1.37681i −0.0489218 0.124651i
\(123\) 1.10461 + 8.76916i 0.0995993 + 0.790689i
\(124\) 4.62631 1.42703i 0.415455 0.128151i
\(125\) 1.05170 4.60779i 0.0940666 0.412133i
\(126\) 0.710872 + 1.23539i 0.0633295 + 0.110057i
\(127\) −0.685466 3.00322i −0.0608252 0.266493i 0.935367 0.353679i \(-0.115070\pi\)
−0.996192 + 0.0871864i \(0.972212\pi\)
\(128\) −2.75848 4.77782i −0.243817 0.422304i
\(129\) −18.3714 4.66543i −1.61751 0.410768i
\(130\) −0.430560 0.132810i −0.0377626 0.0116482i
\(131\) −14.5667 7.01493i −1.27269 0.612897i −0.329192 0.944263i \(-0.606776\pi\)
−0.943502 + 0.331365i \(0.892491\pi\)
\(132\) −16.6034 + 12.5933i −1.44514 + 1.09611i
\(133\) −8.34363 + 4.51426i −0.723485 + 0.391436i
\(134\) −0.642936 0.806216i −0.0555412 0.0696465i
\(135\) −1.25320 + 2.18024i −0.107858 + 0.187645i
\(136\) −0.286244 + 0.729338i −0.0245452 + 0.0625402i
\(137\) −3.55077 1.70996i −0.303363 0.146092i 0.276009 0.961155i \(-0.410988\pi\)
−0.579372 + 0.815063i \(0.696702\pi\)
\(138\) −0.128853 1.02292i −0.0109687 0.0870769i
\(139\) −8.66279 5.90619i −0.734768 0.500957i 0.137185 0.990545i \(-0.456194\pi\)
−0.871953 + 0.489589i \(0.837147\pi\)
\(140\) 1.66203 + 1.89369i 0.140467 + 0.160046i
\(141\) 7.69786 2.80736i 0.648276 0.236423i
\(142\) −0.817009 0.557027i −0.0685619 0.0467447i
\(143\) −30.2918 + 9.34379i −2.53313 + 0.781367i
\(144\) −11.4092 0.554795i −0.950767 0.0462329i
\(145\) 3.80646 0.573732i 0.316110 0.0476458i
\(146\) −0.765536 + 1.32595i −0.0633562 + 0.109736i
\(147\) 4.48378 11.2648i 0.369816 0.929105i
\(148\) −2.98668 5.17308i −0.245503 0.425225i
\(149\) 9.86835 + 12.3745i 0.808447 + 1.01376i 0.999482 + 0.0321769i \(0.0102440\pi\)
−0.191036 + 0.981583i \(0.561185\pi\)
\(150\) −0.471195 + 1.40541i −0.0384729 + 0.114752i
\(151\) 2.50599 10.9794i 0.203934 0.893494i −0.764579 0.644530i \(-0.777053\pi\)
0.968513 0.248964i \(-0.0800899\pi\)
\(152\) −0.190916 + 2.54759i −0.0154853 + 0.206637i
\(153\) 1.92915 + 2.67606i 0.155963 + 0.216347i
\(154\) −2.81314 0.724483i −0.226690 0.0583805i
\(155\) −0.0889834 + 1.18740i −0.00714732 + 0.0953743i
\(156\) −16.2873 6.85340i −1.30402 0.548711i
\(157\) −4.84486 + 3.30317i −0.386662 + 0.263622i −0.741013 0.671491i \(-0.765654\pi\)
0.354351 + 0.935113i \(0.384702\pi\)
\(158\) −1.14287 + 0.172260i −0.0909220 + 0.0137043i
\(159\) −1.90419 1.16196i −0.151012 0.0921493i
\(160\) 1.00916 0.152106i 0.0797807 0.0120250i
\(161\) −6.14074 + 6.26156i −0.483958 + 0.493480i
\(162\) 0.940066 1.31463i 0.0738585 0.103287i
\(163\) 2.71461 1.85079i 0.212625 0.144965i −0.452325 0.891853i \(-0.649405\pi\)
0.664950 + 0.746888i \(0.268453\pi\)
\(164\) −2.23438 9.78947i −0.174476 0.764429i
\(165\) −1.39129 4.93285i −0.108312 0.384022i
\(166\) 2.84858 0.221093
\(167\) 1.26052 1.16959i 0.0975419 0.0905056i −0.629895 0.776680i \(-0.716902\pi\)
0.727437 + 0.686175i \(0.240712\pi\)
\(168\) −1.90044 2.65503i −0.146622 0.204840i
\(169\) −10.1748 9.44088i −0.782681 0.726222i
\(170\) −0.0700553 0.0650018i −0.00537300 0.00498541i
\(171\) 8.58284 + 6.48401i 0.656347 + 0.495845i
\(172\) 21.2934 + 3.20946i 1.62360 + 0.244719i
\(173\) 0.897453 0.276828i 0.0682321 0.0210468i −0.260451 0.965487i \(-0.583871\pi\)
0.328683 + 0.944440i \(0.393395\pi\)
\(174\) −2.47078 + 0.124894i −0.187310 + 0.00946821i
\(175\) 11.8604 4.28025i 0.896559 0.323556i
\(176\) 17.0658 15.8348i 1.28639 1.19359i
\(177\) −3.39420 0.861962i −0.255124 0.0647890i
\(178\) −1.42293 −0.106653
\(179\) −2.98904 + 2.77343i −0.223411 + 0.207296i −0.783935 0.620843i \(-0.786790\pi\)
0.560523 + 0.828139i \(0.310600\pi\)
\(180\) 1.17170 2.60564i 0.0873337 0.194213i
\(181\) 7.38459 9.25998i 0.548892 0.688289i −0.427569 0.903983i \(-0.640630\pi\)
0.976461 + 0.215694i \(0.0692013\pi\)
\(182\) −0.660680 2.37298i −0.0489729 0.175897i
\(183\) 14.1960 + 1.41137i 1.04940 + 0.104331i
\(184\) 0.525552 + 2.30260i 0.0387442 + 0.169750i
\(185\) 1.45272 0.218963i 0.106806 0.0160985i
\(186\) 0.132403 0.753708i 0.00970822 0.0552645i
\(187\) −6.64844 1.00209i −0.486182 0.0732801i
\(188\) −8.38697 + 4.03895i −0.611682 + 0.294571i
\(189\) −13.7312 + 0.674168i −0.998797 + 0.0490385i
\(190\) −0.280753 0.135203i −0.0203679 0.00980868i
\(191\) −6.35524 4.33293i −0.459849 0.313520i 0.311144 0.950363i \(-0.399288\pi\)
−0.770994 + 0.636843i \(0.780240\pi\)
\(192\) 12.5179 0.632761i 0.903403 0.0456656i
\(193\) 1.61782 21.5883i 0.116453 1.55396i −0.566846 0.823823i \(-0.691837\pi\)
0.683300 0.730138i \(-0.260544\pi\)
\(194\) 0.163464 + 0.204978i 0.0117361 + 0.0147166i
\(195\) 3.03254 3.11309i 0.217165 0.222933i
\(196\) −3.80284 + 13.2389i −0.271632 + 0.945637i
\(197\) 5.65639 0.403001 0.201500 0.979488i \(-0.435418\pi\)
0.201500 + 0.979488i \(0.435418\pi\)
\(198\) 0.576122 + 3.24311i 0.0409432 + 0.230478i
\(199\) 0.367833 + 0.250784i 0.0260750 + 0.0177776i 0.576287 0.817247i \(-0.304501\pi\)
−0.550212 + 0.835025i \(0.685453\pi\)
\(200\) 0.755598 3.31049i 0.0534289 0.234087i
\(201\) 9.74773 1.97703i 0.687552 0.139449i
\(202\) 0.245691 + 3.27852i 0.0172868 + 0.230676i
\(203\) 13.8817 + 15.8166i 0.974305 + 1.11010i
\(204\) −2.48170 2.80849i −0.173754 0.196634i
\(205\) 2.44203 + 0.368077i 0.170559 + 0.0257076i
\(206\) 0.135216 + 1.80434i 0.00942096 + 0.125714i
\(207\) 9.34905 + 3.38925i 0.649804 + 0.235569i
\(208\) 18.8637 + 5.81867i 1.30796 + 0.403452i
\(209\) −21.6784 + 3.26750i −1.49953 + 0.226017i
\(210\) 0.386147 0.0974676i 0.0266466 0.00672591i
\(211\) −1.04145 0.156973i −0.0716961 0.0108065i 0.113096 0.993584i \(-0.463923\pi\)
−0.184792 + 0.982778i \(0.559161\pi\)
\(212\) 2.28331 + 1.09958i 0.156818 + 0.0755197i
\(213\) 8.37323 4.56676i 0.573725 0.312909i
\(214\) −2.93424 −0.200581
\(215\) −2.64810 + 4.58665i −0.180599 + 0.312807i
\(216\) −1.84499 + 3.20980i −0.125535 + 0.218399i
\(217\) −5.72527 + 3.09762i −0.388657 + 0.210280i
\(218\) 1.17629 + 1.09144i 0.0796686 + 0.0739217i
\(219\) −8.02012 12.4002i −0.541949 0.837926i
\(220\) 2.12730 + 5.42026i 0.143422 + 0.365434i
\(221\) −2.08289 5.30711i −0.140110 0.356995i
\(222\) −0.942966 + 0.0476655i −0.0632877 + 0.00319910i
\(223\) −19.4774 18.0724i −1.30430 1.21022i −0.962763 0.270348i \(-0.912861\pi\)
−0.341540 0.939867i \(-0.610948\pi\)
\(224\) 3.68027 + 4.19323i 0.245898 + 0.280172i
\(225\) −9.99600 10.2222i −0.666400 0.681482i
\(226\) −1.10944 + 1.92161i −0.0737988 + 0.127823i
\(227\) 22.7963 1.51304 0.756521 0.653969i \(-0.226897\pi\)
0.756521 + 0.653969i \(0.226897\pi\)
\(228\) −10.4318 6.36556i −0.690860 0.421570i
\(229\) −9.62725 4.63624i −0.636187 0.306371i 0.0878491 0.996134i \(-0.472001\pi\)
−0.724036 + 0.689762i \(0.757715\pi\)
\(230\) −0.284863 0.0429361i −0.0187833 0.00283112i
\(231\) 18.5837 20.9695i 1.22272 1.37969i
\(232\) 5.60396 0.844661i 0.367918 0.0554547i
\(233\) −16.9657 5.23324i −1.11146 0.342841i −0.315949 0.948776i \(-0.602323\pi\)
−0.795514 + 0.605935i \(0.792799\pi\)
\(234\) −2.13730 + 1.79807i −0.139720 + 0.117543i
\(235\) −0.171093 2.28308i −0.0111609 0.148932i
\(236\) 3.93406 + 0.592964i 0.256086 + 0.0385987i
\(237\) 3.54372 10.5697i 0.230189 0.686576i
\(238\) 0.0921238 0.514261i 0.00597150 0.0333346i
\(239\) 0.166359 + 2.21991i 0.0107609 + 0.143594i 0.999996 0.00273922i \(-0.000871923\pi\)
−0.989235 + 0.146333i \(0.953253\pi\)
\(240\) −1.01458 + 3.02614i −0.0654906 + 0.195336i
\(241\) −1.49702 + 6.55886i −0.0964313 + 0.422493i −0.999982 0.00598788i \(-0.998094\pi\)
0.903551 + 0.428481i \(0.140951\pi\)
\(242\) −3.91468 2.66898i −0.251645 0.171569i
\(243\) 7.15590 + 13.8489i 0.459051 + 0.888410i
\(244\) −16.2074 −1.03757
\(245\) −2.68929 2.06022i −0.171813 0.131623i
\(246\) −1.53832 0.390658i −0.0980798 0.0249075i
\(247\) −11.5906 14.5341i −0.737490 0.924783i
\(248\) −0.131003 + 1.74812i −0.00831872 + 0.111006i
\(249\) −12.5190 + 24.4578i −0.793362 + 1.54995i
\(250\) 0.701240 + 0.478098i 0.0443503 + 0.0302375i
\(251\) 22.3965 + 10.7856i 1.41365 + 0.680779i 0.975880 0.218307i \(-0.0700534\pi\)
0.437772 + 0.899086i \(0.355768\pi\)
\(252\) 15.4475 2.30547i 0.973099 0.145231i
\(253\) −18.2606 + 8.79383i −1.14803 + 0.552863i
\(254\) 0.546989 + 0.0824453i 0.0343211 + 0.00517308i
\(255\) 0.865984 0.315819i 0.0542300 0.0197774i
\(256\) −13.3316 + 2.00942i −0.833226 + 0.125589i
\(257\) −3.02150 13.2381i −0.188476 0.825768i −0.977421 0.211303i \(-0.932229\pi\)
0.788944 0.614465i \(-0.210628\pi\)
\(258\) 1.98514 2.76488i 0.123589 0.172134i
\(259\) 5.29790 + 6.03633i 0.329196 + 0.375079i
\(260\) −3.07842 + 3.86022i −0.190916 + 0.239401i
\(261\) 9.78636 21.7629i 0.605760 1.34709i
\(262\) 2.12827 1.97474i 0.131485 0.122000i
\(263\) 26.5563 1.63753 0.818767 0.574126i \(-0.194658\pi\)
0.818767 + 0.574126i \(0.194658\pi\)
\(264\) −2.04829 7.26225i −0.126064 0.446961i
\(265\) −0.456911 + 0.423952i −0.0280678 + 0.0260431i
\(266\) −0.207216 1.69088i −0.0127052 0.103675i
\(267\) 6.25356 12.2172i 0.382712 0.747683i
\(268\) −10.7977 + 3.33065i −0.659574 + 0.203452i
\(269\) −5.48984 0.827461i −0.334722 0.0504512i −0.0204688 0.999790i \(-0.506516\pi\)
−0.314253 + 0.949339i \(0.601754\pi\)
\(270\) −0.282233 0.352520i −0.0171761 0.0214537i
\(271\) −20.8224 19.3204i −1.26487 1.17363i −0.976360 0.216152i \(-0.930649\pi\)
−0.288511 0.957477i \(-0.593160\pi\)
\(272\) 3.06926 + 2.84785i 0.186101 + 0.172677i
\(273\) 23.2779 + 4.75630i 1.40884 + 0.287864i
\(274\) 0.518788 0.481365i 0.0313411 0.0290803i
\(275\) 29.1393 1.75717
\(276\) −10.9501 2.78080i −0.659120 0.167384i
\(277\) −0.951741 4.16985i −0.0571846 0.250542i 0.938254 0.345947i \(-0.112442\pi\)
−0.995439 + 0.0954053i \(0.969585\pi\)
\(278\) 1.55561 1.06059i 0.0932990 0.0636102i
\(279\) 5.88941 + 4.44923i 0.352590 + 0.266368i
\(280\) −0.858149 + 0.309695i −0.0512842 + 0.0185078i
\(281\) 8.64637 1.30323i 0.515799 0.0777442i 0.114016 0.993479i \(-0.463629\pi\)
0.401783 + 0.915735i \(0.368390\pi\)
\(282\) −0.0357429 + 1.47095i −0.00212846 + 0.0875939i
\(283\) −19.2157 + 2.89630i −1.14225 + 0.172167i −0.692795 0.721134i \(-0.743621\pi\)
−0.449458 + 0.893301i \(0.648383\pi\)
\(284\) −8.95274 + 6.10388i −0.531247 + 0.362198i
\(285\) 2.39471 1.81633i 0.141851 0.107590i
\(286\) 0.425401 5.67658i 0.0251545 0.335663i
\(287\) 5.51922 + 12.3213i 0.325789 + 0.727303i
\(288\) 2.59452 5.76971i 0.152884 0.339983i
\(289\) −1.18005 + 15.7466i −0.0694145 + 0.926272i
\(290\) −0.153820 + 0.673928i −0.00903260 + 0.0395744i
\(291\) −2.47833 + 0.502654i −0.145282 + 0.0294661i
\(292\) 10.4605 + 13.1171i 0.612157 + 0.767620i
\(293\) 2.56885 + 4.44939i 0.150074 + 0.259936i 0.931254 0.364369i \(-0.118715\pi\)
−0.781180 + 0.624305i \(0.785382\pi\)
\(294\) 1.58886 + 1.48854i 0.0926644 + 0.0868134i
\(295\) −0.489250 + 0.847407i −0.0284853 + 0.0493379i
\(296\) 2.13873 0.322362i 0.124311 0.0187369i
\(297\) −30.3772 9.30639i −1.76266 0.540012i
\(298\) −2.71594 + 0.837757i −0.157330 + 0.0485300i
\(299\) −14.1997 9.68121i −0.821191 0.559879i
\(300\) 12.4495 + 10.4328i 0.718772 + 0.602339i
\(301\) −28.9213 + 1.36440i −1.66700 + 0.0786429i
\(302\) 1.67092 + 1.13921i 0.0961504 + 0.0655543i
\(303\) −29.2290 12.2991i −1.67916 0.706563i
\(304\) 12.3003 + 5.92352i 0.705472 + 0.339737i
\(305\) 1.45631 3.71061i 0.0833880 0.212469i
\(306\) −0.573894 + 0.146912i −0.0328073 + 0.00839842i
\(307\) −8.47323 10.6251i −0.483593 0.606406i 0.478848 0.877898i \(-0.341054\pi\)
−0.962441 + 0.271492i \(0.912483\pi\)
\(308\) −18.6522 + 25.7950i −1.06281 + 1.46981i
\(309\) −16.0862 6.76880i −0.915112 0.385064i
\(310\) −0.192648 0.0927744i −0.0109417 0.00526923i
\(311\) 22.9261 + 7.07176i 1.30002 + 0.401003i 0.866065 0.499932i \(-0.166642\pi\)
0.433955 + 0.900935i \(0.357118\pi\)
\(312\) 4.46458 4.58316i 0.252757 0.259470i
\(313\) 0.508396 + 0.880568i 0.0287362 + 0.0497726i 0.880036 0.474907i \(-0.157518\pi\)
−0.851300 + 0.524680i \(0.824185\pi\)
\(314\) −0.234309 1.02657i −0.0132228 0.0579329i
\(315\) −0.860199 + 3.74379i −0.0484667 + 0.210939i
\(316\) −2.81822 + 12.3474i −0.158537 + 0.694598i
\(317\) 8.62622 2.66084i 0.484497 0.149448i −0.0428777 0.999080i \(-0.513653\pi\)
0.527375 + 0.849633i \(0.323176\pi\)
\(318\) 0.319159 0.242074i 0.0178975 0.0135749i
\(319\) 17.7677 + 45.2713i 0.994800 + 2.53471i
\(320\) 0.779308 3.41437i 0.0435646 0.190869i
\(321\) 12.8955 25.1933i 0.719758 1.40615i
\(322\) −0.643816 1.43728i −0.0358785 0.0800964i
\(323\) −0.877369 3.84401i −0.0488181 0.213886i
\(324\) −9.64636 14.8521i −0.535909 0.825115i
\(325\) 12.3543 + 21.3983i 0.685295 + 1.18697i
\(326\) 0.131285 + 0.575197i 0.00727120 + 0.0318572i
\(327\) −14.5407 + 5.30290i −0.804101 + 0.293251i
\(328\) 3.59521 + 0.541891i 0.198512 + 0.0299209i
\(329\) 9.99765 7.53014i 0.551188 0.415150i
\(330\) 0.915852 + 0.0910538i 0.0504160 + 0.00501235i
\(331\) 12.8753 11.9465i 0.707688 0.656639i −0.241842 0.970316i \(-0.577751\pi\)
0.949530 + 0.313677i \(0.101561\pi\)
\(332\) 11.4040 29.0568i 0.625874 1.59470i
\(333\) 3.73493 8.30574i 0.204673 0.455152i
\(334\) 0.112812 + 0.287440i 0.00617279 + 0.0157280i
\(335\) 0.207685 2.77136i 0.0113470 0.151416i
\(336\) −16.9178 + 4.27025i −0.922943 + 0.232961i
\(337\) −0.00495329 0.0660970i −0.000269823 0.00360053i 0.997067 0.0765302i \(-0.0243842\pi\)
−0.997337 + 0.0729297i \(0.976765\pi\)
\(338\) 2.24566 1.08145i 0.122148 0.0588234i
\(339\) −11.6230 17.9707i −0.631275 0.976037i
\(340\) −0.943507 + 0.454369i −0.0511689 + 0.0246416i
\(341\) −14.8754 + 2.24210i −0.805548 + 0.121417i
\(342\) −1.64695 + 1.00932i −0.0890568 + 0.0545779i
\(343\) 1.53496 18.4565i 0.0828801 0.996560i
\(344\) −3.89860 + 6.75256i −0.210198 + 0.364074i
\(345\) 1.62057 2.25712i 0.0872487 0.121519i
\(346\) −0.0126033 + 0.168180i −0.000677559 + 0.00904139i
\(347\) −5.57202 5.17008i −0.299122 0.277545i 0.516305 0.856405i \(-0.327307\pi\)
−0.815427 + 0.578860i \(0.803498\pi\)
\(348\) −8.61752 + 25.7031i −0.461948 + 1.37783i
\(349\) −16.3968 + 11.1791i −0.877701 + 0.598406i −0.916142 0.400855i \(-0.868713\pi\)
0.0384411 + 0.999261i \(0.487761\pi\)
\(350\) −0.0626176 + 2.26338i −0.00334705 + 0.120983i
\(351\) −6.04504 26.2530i −0.322661 1.40128i
\(352\) 4.71050 + 12.0022i 0.251071 + 0.639718i
\(353\) 14.6621 + 7.06091i 0.780386 + 0.375814i 0.781276 0.624185i \(-0.214569\pi\)
−0.000890079 1.00000i \(0.500283\pi\)
\(354\) 0.366764 0.510826i 0.0194933 0.0271501i
\(355\) −0.593012 2.59816i −0.0314738 0.137896i
\(356\) −5.69655 + 14.5146i −0.301917 + 0.769271i
\(357\) 4.01055 + 3.05106i 0.212261 + 0.161479i
\(358\) −0.267508 0.681600i −0.0141383 0.0360237i
\(359\) −29.1757 + 19.8917i −1.53983 + 1.04984i −0.565497 + 0.824751i \(0.691315\pi\)
−0.974338 + 0.225091i \(0.927732\pi\)
\(360\) 0.723255 + 0.739623i 0.0381189 + 0.0389816i
\(361\) 3.07180 + 5.32051i 0.161674 + 0.280027i
\(362\) 1.06343 + 1.84191i 0.0558926 + 0.0968088i
\(363\) 40.1202 21.8815i 2.10576 1.14848i
\(364\) −26.8505 2.76072i −1.40735 0.144701i
\(365\) −3.94304 + 1.21627i −0.206388 + 0.0636622i
\(366\) −1.16726 + 2.28042i −0.0610137 + 0.119199i
\(367\) 8.81837 11.0579i 0.460315 0.577217i −0.496455 0.868063i \(-0.665365\pi\)
0.956770 + 0.290846i \(0.0939366\pi\)
\(368\) 12.4804 + 1.88111i 0.650585 + 0.0980598i
\(369\) 10.1149 11.4911i 0.526558 0.598202i
\(370\) −0.0587047 + 0.257202i −0.00305191 + 0.0133713i
\(371\) −3.29981 0.849816i −0.171317 0.0441203i
\(372\) −7.15811 4.36795i −0.371131 0.226468i
\(373\) −26.8265 −1.38902 −0.694512 0.719481i \(-0.744380\pi\)
−0.694512 + 0.719481i \(0.744380\pi\)
\(374\) 0.603683 1.04561i 0.0312157 0.0540672i
\(375\) −7.18676 + 3.91966i −0.371123 + 0.202410i
\(376\) −0.251887 3.36120i −0.0129901 0.173341i
\(377\) −25.7118 + 32.2415i −1.32422 + 1.66052i
\(378\) 0.788147 2.33953i 0.0405379 0.120333i
\(379\) −1.02306 1.28287i −0.0525510 0.0658969i 0.754861 0.655884i \(-0.227704\pi\)
−0.807412 + 0.589987i \(0.799133\pi\)
\(380\) −2.50310 + 2.32254i −0.128406 + 0.119144i
\(381\) −3.11180 + 4.33409i −0.159422 + 0.222042i
\(382\) 1.14123 0.778079i 0.0583905 0.0398100i
\(383\) −11.1520 + 13.9842i −0.569841 + 0.714558i −0.980343 0.197302i \(-0.936782\pi\)
0.410502 + 0.911860i \(0.365354\pi\)
\(384\) −3.03756 + 9.06000i −0.155010 + 0.462341i
\(385\) −4.22967 6.58814i −0.215564 0.335763i
\(386\) 3.50257 + 1.68675i 0.178276 + 0.0858531i
\(387\) 15.0148 + 29.1955i 0.763245 + 1.48409i
\(388\) 2.74528 0.846807i 0.139371 0.0429901i
\(389\) 7.10219 3.42024i 0.360095 0.173413i −0.245084 0.969502i \(-0.578816\pi\)
0.605180 + 0.796089i \(0.293101\pi\)
\(390\) 0.321433 + 0.711156i 0.0162764 + 0.0360108i
\(391\) −1.82255 3.15676i −0.0921706 0.159644i
\(392\) −3.95924 3.03311i −0.199972 0.153195i
\(393\) 7.60167 + 26.9519i 0.383454 + 1.35954i
\(394\) −0.371090 + 0.945522i −0.0186952 + 0.0476347i
\(395\) −2.57367 1.75470i −0.129495 0.0882884i
\(396\) 35.3877 + 7.10672i 1.77830 + 0.357126i
\(397\) 0.941449 12.5628i 0.0472500 0.630507i −0.922436 0.386151i \(-0.873804\pi\)
0.969686 0.244356i \(-0.0785766\pi\)
\(398\) −0.0660529 + 0.0450341i −0.00331093 + 0.00225736i
\(399\) 15.4285 + 5.65200i 0.772392 + 0.282954i
\(400\) −14.9929 10.2220i −0.749646 0.511100i
\(401\) 20.3221 25.4831i 1.01484 1.27257i 0.0531007 0.998589i \(-0.483090\pi\)
0.961736 0.273976i \(-0.0883390\pi\)
\(402\) −0.309024 + 1.75913i −0.0154127 + 0.0877377i
\(403\) −7.95326 9.97308i −0.396180 0.496794i
\(404\) 34.4260 + 10.6190i 1.71276 + 0.528316i
\(405\) 4.26709 0.873968i 0.212034 0.0434278i
\(406\) −3.55461 + 1.28281i −0.176412 + 0.0636650i
\(407\) 6.78098 + 17.2776i 0.336120 + 0.856421i
\(408\) 1.27492 0.464956i 0.0631180 0.0230188i
\(409\) 35.8193 + 11.0488i 1.77115 + 0.546327i 0.996310 0.0858317i \(-0.0273547\pi\)
0.774839 + 0.632159i \(0.217831\pi\)
\(410\) −0.221738 + 0.384062i −0.0109509 + 0.0189675i
\(411\) 1.85299 + 6.56981i 0.0914011 + 0.324065i
\(412\) 18.9464 + 5.84419i 0.933421 + 0.287922i
\(413\) −5.34336 + 0.252080i −0.262930 + 0.0124041i
\(414\) −1.17990 + 1.34043i −0.0579887 + 0.0658787i
\(415\) 5.62775 + 5.22178i 0.276255 + 0.256327i
\(416\) −6.81660 + 8.54775i −0.334212 + 0.419088i
\(417\) 2.26958 + 18.0175i 0.111142 + 0.882321i
\(418\) 0.876028 3.83813i 0.0428479 0.187729i
\(419\) −11.0435 + 3.40646i −0.539509 + 0.166417i −0.552521 0.833499i \(-0.686334\pi\)
0.0130119 + 0.999915i \(0.495858\pi\)
\(420\) 0.551679 4.32908i 0.0269192 0.211237i
\(421\) 23.2768 + 7.17995i 1.13444 + 0.349929i 0.804430 0.594047i \(-0.202471\pi\)
0.330013 + 0.943976i \(0.392947\pi\)
\(422\) 0.0945641 0.163790i 0.00460331 0.00797317i
\(423\) −12.4724 6.77148i −0.606431 0.329241i
\(424\) −0.672675 + 0.624151i −0.0326680 + 0.0303114i
\(425\) 0.391635 + 5.22600i 0.0189971 + 0.253498i
\(426\) 0.214050 + 1.69927i 0.0103707 + 0.0823301i
\(427\) 21.3713 4.25972i 1.03423 0.206142i
\(428\) −11.7469 + 29.9306i −0.567808 + 1.44675i
\(429\) 46.8693 + 28.6001i 2.26287 + 1.38083i
\(430\) −0.592974 0.743566i −0.0285957 0.0358579i
\(431\) 0.435894 + 5.81661i 0.0209963 + 0.280176i 0.997813 + 0.0660990i \(0.0210553\pi\)
−0.976817 + 0.214077i \(0.931326\pi\)
\(432\) 12.3652 + 15.4446i 0.594919 + 0.743079i
\(433\) 0.863123 0.415658i 0.0414790 0.0199753i −0.413029 0.910718i \(-0.635529\pi\)
0.454508 + 0.890743i \(0.349815\pi\)
\(434\) −0.142189 1.16026i −0.00682527 0.0556941i
\(435\) −5.11031 4.28249i −0.245020 0.205330i
\(436\) 15.8424 7.62928i 0.758711 0.365376i
\(437\) −8.71271 8.08421i −0.416785 0.386720i
\(438\) 2.59898 0.527123i 0.124184 0.0251869i
\(439\) 12.9112 32.8971i 0.616217 1.57009i −0.192118 0.981372i \(-0.561536\pi\)
0.808335 0.588723i \(-0.200369\pi\)
\(440\) −2.10836 −0.100512
\(441\) −19.7633 + 7.10002i −0.941111 + 0.338096i
\(442\) 1.02379 0.0486965
\(443\) 8.46009 21.5560i 0.401951 1.02415i −0.576394 0.817172i \(-0.695541\pi\)
0.978345 0.206982i \(-0.0663642\pi\)
\(444\) −3.28885 + 9.80951i −0.156082 + 0.465539i
\(445\) −2.81119 2.60841i −0.133263 0.123650i
\(446\) 4.29880 2.07019i 0.203554 0.0980265i
\(447\) 4.74318 27.0008i 0.224345 1.27709i
\(448\) 18.0090 6.49921i 0.850845 0.307059i
\(449\) 24.5970 11.8453i 1.16080 0.559013i 0.248542 0.968621i \(-0.420049\pi\)
0.912262 + 0.409608i \(0.134334\pi\)
\(450\) 2.36454 1.00030i 0.111465 0.0471545i
\(451\) 2.33162 + 31.1133i 0.109792 + 1.46507i
\(452\) 15.1597 + 19.0097i 0.713055 + 0.894142i
\(453\) −17.1246 + 9.33977i −0.804585 + 0.438820i
\(454\) −1.49556 + 3.81063i −0.0701901 + 0.178842i
\(455\) 3.04469 5.89924i 0.142737 0.276561i
\(456\) 3.52555 2.67405i 0.165099 0.125224i
\(457\) 1.55539 + 20.7552i 0.0727579 + 0.970887i 0.907447 + 0.420166i \(0.138028\pi\)
−0.834689 + 0.550721i \(0.814353\pi\)
\(458\) 1.40659 1.30513i 0.0657258 0.0609847i
\(459\) 1.26079 5.57308i 0.0588484 0.260129i
\(460\) −1.57838 + 2.73384i −0.0735925 + 0.127466i
\(461\) 7.39010 + 2.27954i 0.344191 + 0.106169i 0.462031 0.886864i \(-0.347121\pi\)
−0.117840 + 0.993033i \(0.537597\pi\)
\(462\) 2.28608 + 4.48217i 0.106358 + 0.208529i
\(463\) −13.3990 + 4.13303i −0.622703 + 0.192078i −0.590022 0.807387i \(-0.700881\pi\)
−0.0326812 + 0.999466i \(0.510405\pi\)
\(464\) 6.73914 29.5261i 0.312857 1.37071i
\(465\) 1.64321 1.24634i 0.0762022 0.0577976i
\(466\) 1.98783 2.49266i 0.0920846 0.115470i
\(467\) 0.422734 + 0.392240i 0.0195618 + 0.0181507i 0.689893 0.723911i \(-0.257658\pi\)
−0.670331 + 0.742062i \(0.733848\pi\)
\(468\) 9.78469 + 28.9998i 0.452297 + 1.34052i
\(469\) 13.3626 7.22976i 0.617029 0.333839i
\(470\) 0.392864 + 0.121183i 0.0181215 + 0.00558974i
\(471\) 9.84386 + 2.49986i 0.453581 + 0.115187i
\(472\) −0.720285 + 1.24757i −0.0331538 + 0.0574241i
\(473\) −63.9384 19.7224i −2.93989 0.906836i
\(474\) 1.53434 + 1.28580i 0.0704747 + 0.0590586i
\(475\) 6.24298 + 15.9069i 0.286448 + 0.729857i
\(476\) −4.87689 2.99849i −0.223532 0.137436i
\(477\) 0.675789 + 3.80416i 0.0309423 + 0.174180i
\(478\) −0.381994 0.117829i −0.0174720 0.00538939i
\(479\) −24.2826 30.4494i −1.10950 1.39127i −0.911615 0.411044i \(-0.865164\pi\)
−0.197885 0.980225i \(-0.563407\pi\)
\(480\) −1.35483 1.13536i −0.0618390 0.0518218i
\(481\) −9.81280 + 12.3049i −0.447425 + 0.561053i
\(482\) −0.998166 0.680538i −0.0454652 0.0309977i
\(483\) 15.1699 + 0.788827i 0.690253 + 0.0358929i
\(484\) −42.8969 + 29.2466i −1.94986 + 1.32939i
\(485\) −0.0528033 + 0.704611i −0.00239767 + 0.0319947i
\(486\) −2.78445 + 0.287614i −0.126305 + 0.0130464i
\(487\) −4.63563 3.16052i −0.210061 0.143217i 0.453720 0.891144i \(-0.350097\pi\)
−0.663780 + 0.747927i \(0.731049\pi\)
\(488\) 2.14401 5.46285i 0.0970548 0.247292i
\(489\) −5.51559 1.40069i −0.249424 0.0633414i
\(490\) 0.520819 0.314380i 0.0235282 0.0142023i
\(491\) 11.0326 + 19.1090i 0.497894 + 0.862377i 0.999997 0.00243043i \(-0.000773630\pi\)
−0.502103 + 0.864808i \(0.667440\pi\)
\(492\) −10.1434 + 14.1276i −0.457300 + 0.636923i
\(493\) −7.88040 + 3.79500i −0.354915 + 0.170918i
\(494\) 3.18993 0.983962i 0.143522 0.0442705i
\(495\) −4.80680 + 7.46330i −0.216050 + 0.335450i
\(496\) 8.44028 + 4.06463i 0.378980 + 0.182507i
\(497\) 10.2010 10.4017i 0.457576 0.466579i
\(498\) −3.26704 3.69725i −0.146400 0.165678i
\(499\) 8.69751 10.9063i 0.389354 0.488234i −0.548066 0.836435i \(-0.684636\pi\)
0.937420 + 0.348201i \(0.113207\pi\)
\(500\) 7.68415 5.23897i 0.343646 0.234294i
\(501\) −2.96373 0.294654i −0.132410 0.0131642i
\(502\) −3.27225 + 3.03620i −0.146047 + 0.135512i
\(503\) 15.5390 + 19.4853i 0.692848 + 0.868804i 0.996467 0.0839894i \(-0.0267662\pi\)
−0.303618 + 0.952794i \(0.598195\pi\)
\(504\) −1.26640 + 5.51169i −0.0564101 + 0.245510i
\(505\) −5.52452 + 6.92753i −0.245838 + 0.308271i
\(506\) −0.271983 3.62936i −0.0120911 0.161345i
\(507\) −0.584005 + 24.0340i −0.0259366 + 1.06739i
\(508\) 3.03079 5.24948i 0.134469 0.232908i
\(509\) 6.61755 0.293318 0.146659 0.989187i \(-0.453148\pi\)
0.146659 + 0.989187i \(0.453148\pi\)
\(510\) −0.00402096 + 0.165477i −0.000178051 + 0.00732746i
\(511\) −17.2409 14.5471i −0.762695 0.643527i
\(512\) 2.99401 13.1176i 0.132318 0.579722i
\(513\) −1.42792 18.5764i −0.0630443 0.820170i
\(514\) 2.41110 + 0.363415i 0.106349 + 0.0160296i
\(515\) −3.04042 + 3.81257i −0.133977 + 0.168002i
\(516\) −20.2558 31.3182i −0.891712 1.37871i
\(517\) 27.6398 8.52573i 1.21559 0.374961i
\(518\) −1.35660 + 0.489581i −0.0596058 + 0.0215110i
\(519\) −1.38859 0.847334i −0.0609525 0.0371938i
\(520\) −0.893891 1.54827i −0.0391997 0.0678959i
\(521\) 7.70555 + 13.3464i 0.337586 + 0.584717i 0.983978 0.178289i \(-0.0570562\pi\)
−0.646392 + 0.763006i \(0.723723\pi\)
\(522\) 2.99585 + 3.06365i 0.131125 + 0.134093i
\(523\) 21.7991 14.8624i 0.953209 0.649887i 0.0164508 0.999865i \(-0.494763\pi\)
0.936758 + 0.349978i \(0.113811\pi\)
\(524\) −11.6230 29.6150i −0.507754 1.29374i
\(525\) −19.1581 10.4848i −0.836129 0.457596i
\(526\) −1.74224 + 4.43916i −0.0759653 + 0.193556i
\(527\) −0.602037 2.63770i −0.0262251 0.114900i
\(528\) −40.1252 3.98924i −1.74623 0.173610i
\(529\) 10.8225 + 5.21182i 0.470542 + 0.226601i
\(530\) −0.0408919 0.104191i −0.00177623 0.00452576i
\(531\) 2.77406 + 5.39401i 0.120384 + 0.234080i
\(532\) −18.0773 4.65555i −0.783752 0.201844i
\(533\) −21.8593 + 14.9035i −0.946833 + 0.645540i
\(534\) 1.63197 + 1.84686i 0.0706221 + 0.0799216i
\(535\) −5.79698 5.37881i −0.250625 0.232546i
\(536\) 0.305758 4.08006i 0.0132068 0.176232i
\(537\) 7.02784 + 0.698707i 0.303274 + 0.0301514i
\(538\) 0.498482 0.863396i 0.0214911 0.0372237i
\(539\) 17.8155 38.9159i 0.767366 1.67623i
\(540\) −4.72576 + 1.46763i −0.203364 + 0.0631567i
\(541\) 16.1272 2.43079i 0.693364 0.104508i 0.207100 0.978320i \(-0.433598\pi\)
0.486264 + 0.873812i \(0.338359\pi\)
\(542\) 4.59566 2.21315i 0.197400 0.0950630i
\(543\) −20.4882 + 1.03565i −0.879232 + 0.0444438i
\(544\) −2.08922 + 1.00612i −0.0895747 + 0.0431369i
\(545\) 0.323182 + 4.31257i 0.0138436 + 0.184730i
\(546\) −2.32222 + 3.57909i −0.0993818 + 0.153171i
\(547\) −2.91095 + 38.8440i −0.124463 + 1.66085i 0.489866 + 0.871798i \(0.337046\pi\)
−0.614329 + 0.789050i \(0.710573\pi\)
\(548\) −2.83323 7.21896i −0.121030 0.308379i
\(549\) −14.4496 20.0441i −0.616695 0.855462i
\(550\) −1.91170 + 4.87093i −0.0815152 + 0.207697i
\(551\) −20.9065 + 19.3984i −0.890646 + 0.826399i
\(552\) 2.38584 3.32298i 0.101548 0.141435i
\(553\) 0.470928 17.0222i 0.0200259 0.723859i
\(554\) 0.759472 + 0.114472i 0.0322669 + 0.00486345i
\(555\) −1.95033 1.63440i −0.0827869 0.0693764i
\(556\) −4.59086 20.1139i −0.194696 0.853018i
\(557\) −16.9808 29.4117i −0.719501 1.24621i −0.961198 0.275861i \(-0.911037\pi\)
0.241697 0.970352i \(-0.422296\pi\)
\(558\) −1.13011 + 0.692581i −0.0478414 + 0.0293193i
\(559\) −12.6252 55.3146i −0.533989 2.33956i
\(560\) −0.134828 + 4.87352i −0.00569753 + 0.205944i
\(561\) 6.32447 + 9.77849i 0.267020 + 0.412848i
\(562\) −0.349401 + 1.53083i −0.0147386 + 0.0645740i
\(563\) 1.22536 + 3.12215i 0.0516426 + 0.131583i 0.954367 0.298636i \(-0.0965316\pi\)
−0.902725 + 0.430219i \(0.858436\pi\)
\(564\) 14.8613 + 6.25338i 0.625774 + 0.263315i
\(565\) −5.71437 + 1.76265i −0.240406 + 0.0741553i
\(566\) 0.776509 3.40211i 0.0326391 0.143001i
\(567\) 16.6234 + 17.0489i 0.698115 + 0.715985i
\(568\) −0.873045 3.82506i −0.0366322 0.160496i
\(569\) 13.1701 + 22.8113i 0.552120 + 0.956301i 0.998121 + 0.0612682i \(0.0195145\pi\)
−0.446001 + 0.895033i \(0.647152\pi\)
\(570\) 0.146512 + 0.519462i 0.00613671 + 0.0217578i
\(571\) 16.2024 + 4.99777i 0.678048 + 0.209150i 0.614605 0.788835i \(-0.289316\pi\)
0.0634436 + 0.997985i \(0.479792\pi\)
\(572\) −56.2007 27.0648i −2.34987 1.13164i
\(573\) 1.66502 + 13.2181i 0.0695572 + 0.552194i
\(574\) −2.42172 + 0.114248i −0.101081 + 0.00476862i
\(575\) 9.84968 + 12.3511i 0.410760 + 0.515077i
\(576\) −15.1781 15.5216i −0.632421 0.646734i
\(577\) 0.229442 0.584607i 0.00955178 0.0243375i −0.926018 0.377479i \(-0.876791\pi\)
0.935570 + 0.353141i \(0.114886\pi\)
\(578\) −2.55479 1.23032i −0.106265 0.0511746i
\(579\) −29.8755 + 22.6599i −1.24159 + 0.941713i
\(580\) 6.25858 + 4.26703i 0.259873 + 0.177179i
\(581\) −7.40057 + 41.3121i −0.307027 + 1.71391i
\(582\) 0.0785685 0.447255i 0.00325677 0.0185393i
\(583\) −6.50632 4.43594i −0.269464 0.183718i
\(584\) −5.80502 + 1.79061i −0.240214 + 0.0740961i
\(585\) −7.51860 0.365607i −0.310856 0.0151160i
\(586\) −0.912290 + 0.137506i −0.0376864 + 0.00568030i
\(587\) −8.73167 + 15.1237i −0.360395 + 0.624222i −0.988026 0.154289i \(-0.950691\pi\)
0.627631 + 0.778511i \(0.284025\pi\)
\(588\) 21.5446 10.2479i 0.888486 0.422618i
\(589\) −4.41093 7.63995i −0.181749 0.314799i
\(590\) −0.109555 0.137378i −0.00451031 0.00565575i
\(591\) −6.48733 7.34158i −0.266853 0.301992i
\(592\) 2.57197 11.2685i 0.105707 0.463134i
\(593\) 3.08545 41.1724i 0.126704 1.69075i −0.465569 0.885011i \(-0.654150\pi\)
0.592273 0.805737i \(-0.298231\pi\)
\(594\) 3.54857 4.46730i 0.145599 0.183296i
\(595\) 1.12470 0.847116i 0.0461084 0.0347284i
\(596\) −2.32746 + 31.0577i −0.0953363 + 1.27217i
\(597\) −0.0963691 0.765045i −0.00394412 0.0313112i
\(598\) 2.54989 1.73849i 0.104273 0.0710920i
\(599\) −26.1200 + 3.93695i −1.06723 + 0.160860i −0.659095 0.752060i \(-0.729060\pi\)
−0.408139 + 0.912920i \(0.633822\pi\)
\(600\) −5.16337 + 2.81610i −0.210794 + 0.114967i
\(601\) −4.92931 + 0.742974i −0.201071 + 0.0303065i −0.248805 0.968554i \(-0.580038\pi\)
0.0477346 + 0.998860i \(0.484800\pi\)
\(602\) 1.66932 4.92400i 0.0680365 0.200687i
\(603\) −13.7457 10.3844i −0.559770 0.422885i
\(604\) 18.3098 12.4834i 0.745016 0.507943i
\(605\) −2.84140 12.4490i −0.115520 0.506124i
\(606\) 3.97349 4.07903i 0.161412 0.165699i
\(607\) 42.3439 1.71869 0.859343 0.511400i \(-0.170873\pi\)
0.859343 + 0.511400i \(0.170873\pi\)
\(608\) −5.54265 + 5.14283i −0.224784 + 0.208569i
\(609\) 4.60776 36.1575i 0.186716 1.46518i
\(610\) 0.524724 + 0.486873i 0.0212455 + 0.0197129i
\(611\) 17.9794 + 16.6824i 0.727368 + 0.674899i
\(612\) −0.798943 + 6.44213i −0.0322954 + 0.260408i
\(613\) 17.9113 + 2.69969i 0.723429 + 0.109039i 0.500427 0.865779i \(-0.333176\pi\)
0.223002 + 0.974818i \(0.428414\pi\)
\(614\) 2.33198 0.719321i 0.0941111 0.0290294i
\(615\) −2.32303 3.59172i −0.0936738 0.144832i
\(616\) −6.22702 9.69920i −0.250894 0.390792i
\(617\) 0.364907 0.338584i 0.0146906 0.0136309i −0.672793 0.739831i \(-0.734906\pi\)
0.687484 + 0.726200i \(0.258715\pi\)
\(618\) 2.18682 2.24490i 0.0879666 0.0903031i
\(619\) −30.3228 −1.21878 −0.609389 0.792872i \(-0.708585\pi\)
−0.609389 + 0.792872i \(0.708585\pi\)
\(620\) −1.71759 + 1.59369i −0.0689800 + 0.0640040i
\(621\) −6.32345 16.0215i −0.253751 0.642922i
\(622\) −2.68619 + 3.36838i −0.107707 + 0.135060i
\(623\) 3.69676 20.6364i 0.148108 0.826778i
\(624\) −14.0826 31.1571i −0.563755 1.24728i
\(625\) −4.79344 21.0015i −0.191738 0.840058i
\(626\) −0.180549 + 0.0272134i −0.00721620 + 0.00108767i
\(627\) 29.1040 + 24.3895i 1.16230 + 0.974023i
\(628\) −11.4096 1.71971i −0.455291 0.0686240i
\(629\) −3.00753 + 1.44835i −0.119918 + 0.0577494i
\(630\) −0.569379 0.389404i −0.0226846 0.0155142i
\(631\) −7.93409 3.82086i −0.315851 0.152106i 0.269241 0.963073i \(-0.413227\pi\)
−0.585092 + 0.810967i \(0.698942\pi\)
\(632\) −3.78901 2.58330i −0.150719 0.102758i
\(633\) 0.990699 + 1.53175i 0.0393767 + 0.0608817i
\(634\) −0.121142 + 1.61653i −0.00481116 + 0.0642004i
\(635\) 0.929516 + 1.16558i 0.0368867 + 0.0462545i
\(636\) −1.19155 4.22468i −0.0472482 0.167520i
\(637\) 36.1310 3.41667i 1.43156 0.135373i
\(638\) −8.73322 −0.345751
\(639\) −15.5306 5.63021i −0.614381 0.222728i
\(640\) 2.20606 + 1.50407i 0.0872023 + 0.0594535i
\(641\) −5.44667 + 23.8634i −0.215130 + 0.942548i 0.745890 + 0.666069i \(0.232025\pi\)
−0.961020 + 0.276478i \(0.910833\pi\)
\(642\) 3.36529 + 3.80843i 0.132817 + 0.150307i
\(643\) −0.559845 7.47061i −0.0220781 0.294612i −0.997303 0.0733959i \(-0.976616\pi\)
0.975225 0.221216i \(-0.0710027\pi\)
\(644\) −17.2384 + 0.813243i −0.679286 + 0.0320463i
\(645\) 8.99025 1.82340i 0.353991 0.0717962i
\(646\) 0.700124 + 0.105527i 0.0275460 + 0.00415189i
\(647\) −3.71042 49.5121i −0.145871 1.94652i −0.290147 0.956982i \(-0.593704\pi\)
0.144275 0.989538i \(-0.453915\pi\)
\(648\) 6.28211 1.28668i 0.246785 0.0505454i
\(649\) −11.8129 3.64381i −0.463698 0.143032i
\(650\) −4.38746 + 0.661303i −0.172090 + 0.0259384i
\(651\) 10.5868 + 3.87831i 0.414930 + 0.152003i
\(652\) 6.39286 + 0.963569i 0.250364 + 0.0377363i
\(653\) 19.7158 + 9.49463i 0.771539 + 0.371554i 0.777869 0.628426i \(-0.216301\pi\)
−0.00633008 + 0.999980i \(0.502015\pi\)
\(654\) 0.0675156 2.77852i 0.00264007 0.108649i
\(655\) 7.82462 0.305733
\(656\) 9.71478 16.8265i 0.379298 0.656964i
\(657\) −6.89623 + 24.6313i −0.269047 + 0.960960i
\(658\) 0.602837 + 2.16523i 0.0235010 + 0.0844093i
\(659\) 7.61193 + 7.06284i 0.296519 + 0.275129i 0.814376 0.580338i \(-0.197080\pi\)
−0.517857 + 0.855467i \(0.673270\pi\)
\(660\) 4.59530 8.97759i 0.178872 0.349452i
\(661\) −0.143131 0.364693i −0.00556717 0.0141849i 0.928063 0.372423i \(-0.121473\pi\)
−0.933630 + 0.358238i \(0.883378\pi\)
\(662\) 1.15229 + 2.93598i 0.0447850 + 0.114110i
\(663\) −4.49937 + 8.79018i −0.174741 + 0.341382i
\(664\) 8.28529 + 7.68763i 0.321532 + 0.298338i
\(665\) 2.69020 3.72041i 0.104322 0.144271i
\(666\) 1.14336 + 1.16923i 0.0443042 + 0.0453068i
\(667\) −13.1830 + 22.8337i −0.510449 + 0.884124i
\(668\) 3.38365 0.130917
\(669\) −1.11794 + 46.0075i −0.0432221 + 1.77875i
\(670\) 0.449636 + 0.216533i 0.0173709 + 0.00836541i
\(671\) 49.7978 + 7.50581i 1.92242 + 0.289759i
\(672\) 1.22159 9.58594i 0.0471239 0.369786i
\(673\) −24.7167 + 3.72544i −0.952757 + 0.143605i −0.606985 0.794713i \(-0.707621\pi\)
−0.345772 + 0.938318i \(0.612383\pi\)
\(674\) 0.0113737 + 0.00350833i 0.000438100 + 0.000135136i
\(675\) −1.80326 + 24.6980i −0.0694074 + 0.950625i
\(676\) −2.04108 27.2363i −0.0785030 1.04755i
\(677\) −32.5151 4.90086i −1.24966 0.188356i −0.509312 0.860582i \(-0.670100\pi\)
−0.740346 + 0.672227i \(0.765338\pi\)
\(678\) 3.76652 0.763924i 0.144652 0.0293383i
\(679\) −3.39741 + 1.83814i −0.130381 + 0.0705415i
\(680\) −0.0283365 0.378125i −0.00108666 0.0145004i
\(681\) −26.1451 29.5879i −1.00188 1.13381i
\(682\) 0.601117 2.63366i 0.0230179 0.100848i
\(683\) −18.5302 12.6337i −0.709039 0.483415i 0.154310 0.988023i \(-0.450685\pi\)
−0.863349 + 0.504608i \(0.831637\pi\)
\(684\) 3.70218 + 20.8403i 0.141556 + 0.796850i
\(685\) 1.90733 0.0728754
\(686\) 2.98449 + 1.46743i 0.113948 + 0.0560269i
\(687\) 5.02402 + 17.8128i 0.191678 + 0.679600i
\(688\) 25.9793 + 32.5771i 0.990453 + 1.24199i
\(689\) 0.498994 6.65861i 0.0190102 0.253673i
\(690\) 0.270982 + 0.418974i 0.0103161 + 0.0159501i
\(691\) 36.4793 + 24.8712i 1.38774 + 0.946144i 0.999700 + 0.0245002i \(0.00779943\pi\)
0.388038 + 0.921643i \(0.373153\pi\)
\(692\) 1.66505 + 0.801848i 0.0632959 + 0.0304817i
\(693\) −48.5306 0.0702386i −1.84353 0.00266814i
\(694\) 1.22979 0.592234i 0.0466820 0.0224809i
\(695\) 5.01750 + 0.756266i 0.190325 + 0.0286868i
\(696\) −7.52350 6.30478i −0.285178 0.238982i
\(697\) −5.54868 + 0.836329i −0.210171 + 0.0316782i
\(698\) −0.792987 3.47430i −0.0300150 0.131504i
\(699\) 12.6657 + 28.0223i 0.479061 + 1.05990i
\(700\) 22.8369 + 9.69993i 0.863153 + 0.366623i
\(701\) 30.1161 37.7644i 1.13747 1.42634i 0.248345 0.968672i \(-0.420113\pi\)
0.889123 0.457668i \(-0.151315\pi\)
\(702\) 4.78504 + 0.711852i 0.180600 + 0.0268671i
\(703\) −7.97889 + 7.40332i −0.300929 + 0.279222i
\(704\) 44.2457 1.66757
\(705\) −2.76704 + 2.84054i −0.104213 + 0.106981i
\(706\) −2.14222 + 1.98769i −0.0806234 + 0.0748076i
\(707\) −48.1856 4.95436i −1.81221 0.186328i
\(708\) −3.74236 5.78619i −0.140647 0.217458i
\(709\) 19.3231 5.96038i 0.725693 0.223847i 0.0901676 0.995927i \(-0.471260\pi\)
0.635525 + 0.772080i \(0.280784\pi\)
\(710\) 0.473212 + 0.0713253i 0.0177593 + 0.00267679i
\(711\) −17.7830 + 7.52294i −0.666914 + 0.282132i
\(712\) −4.13870 3.84015i −0.155104 0.143916i
\(713\) −5.97852 5.54726i −0.223898 0.207747i
\(714\) −0.773130 + 0.470237i −0.0289337 + 0.0175982i
\(715\) 11.2463 10.4350i 0.420587 0.390248i
\(716\) −8.02358 −0.299855
\(717\) 2.69048 2.76194i 0.100478 0.103147i
\(718\) −1.41100 6.18201i −0.0526582 0.230711i
\(719\) −17.7518 + 12.1029i −0.662029 + 0.451364i −0.847151 0.531352i \(-0.821684\pi\)
0.185122 + 0.982715i \(0.440732\pi\)
\(720\) 5.09132 2.15384i 0.189742 0.0802688i
\(721\) −26.5190 2.72664i −0.987620 0.101545i
\(722\) −1.09090 + 0.164427i −0.0405992 + 0.00611935i
\(723\) 10.2298 5.57936i 0.380452 0.207498i
\(724\) 23.0457 3.47358i 0.856486 0.129095i
\(725\) 31.3203 21.3538i 1.16321 0.793061i
\(726\) 1.02561 + 8.14203i 0.0380641 + 0.302179i
\(727\) −1.99333 + 26.5992i −0.0739286 + 0.986509i 0.829705 + 0.558202i \(0.188509\pi\)
−0.903634 + 0.428306i \(0.859110\pi\)
\(728\) 4.48247 8.68499i 0.166131 0.321887i
\(729\) 9.76779 25.1712i 0.361770 0.932267i
\(730\) 0.0553738 0.738911i 0.00204947 0.0273483i
\(731\) 2.67778 11.7321i 0.0990412 0.433928i
\(732\) 18.5883 + 21.0360i 0.687043 + 0.777513i
\(733\) 6.71493 + 8.42026i 0.248022 + 0.311009i 0.890222 0.455528i \(-0.150549\pi\)
−0.642200 + 0.766537i \(0.721978\pi\)
\(734\) 1.26990 + 2.19954i 0.0468730 + 0.0811864i
\(735\) 0.410340 + 5.85338i 0.0151356 + 0.215905i
\(736\) −3.49504 + 6.05358i −0.128829 + 0.223138i
\(737\) 34.7188 5.23302i 1.27888 0.192761i
\(738\) 1.25726 + 2.44468i 0.0462804 + 0.0899898i
\(739\) 23.0859 7.12107i 0.849230 0.261953i 0.160558 0.987026i \(-0.448671\pi\)
0.688671 + 0.725074i \(0.258194\pi\)
\(740\) 2.38856 + 1.62850i 0.0878054 + 0.0598647i
\(741\) −5.57095 + 31.7129i −0.204654 + 1.16500i
\(742\) 0.358541 0.495843i 0.0131624 0.0182030i
\(743\) −13.3610 9.10934i −0.490166 0.334189i 0.292884 0.956148i \(-0.405385\pi\)
−0.783050 + 0.621958i \(0.786337\pi\)
\(744\) 2.41918 1.83489i 0.0886913 0.0672703i
\(745\) −6.90141 3.32354i −0.252848 0.121765i
\(746\) 1.75997 4.48432i 0.0644369 0.164183i
\(747\) 46.1025 11.8019i 1.68680 0.431809i
\(748\) −8.24893 10.3438i −0.301611 0.378208i
\(749\) 7.62312 42.5544i 0.278543 1.55490i
\(750\) −0.183719 1.45849i −0.00670847 0.0532565i
\(751\) −37.6366 18.1248i −1.37338 0.661384i −0.405802 0.913961i \(-0.633008\pi\)
−0.967577 + 0.252577i \(0.918722\pi\)
\(752\) −17.2121 5.30924i −0.627662 0.193608i
\(753\) −11.6877 41.4390i −0.425923 1.51012i
\(754\) −3.70266 6.41320i −0.134843 0.233555i
\(755\) 1.21281 + 5.31365i 0.0441385 + 0.193384i
\(756\) −20.7091 17.4055i −0.753182 0.633033i
\(757\) 2.83072 12.4022i 0.102884 0.450766i −0.897076 0.441876i \(-0.854313\pi\)
0.999960 0.00888984i \(-0.00282976\pi\)
\(758\) 0.281564 0.0868509i 0.0102269 0.00315457i
\(759\) 32.3569 + 13.6152i 1.17448 + 0.494201i
\(760\) −0.451707 1.15093i −0.0163852 0.0417487i
\(761\) 5.79938 25.4087i 0.210227 0.921066i −0.754185 0.656662i \(-0.771968\pi\)
0.964412 0.264404i \(-0.0851751\pi\)
\(762\) −0.520335 0.804508i −0.0188498 0.0291443i
\(763\) −18.8848 + 14.2239i −0.683676 + 0.514939i
\(764\) −3.36797 14.7560i −0.121849 0.533855i
\(765\) −1.40311 0.761770i −0.0507296 0.0275419i
\(766\) −1.60596 2.78161i −0.0580258 0.100504i
\(767\) −2.33257 10.2197i −0.0842242 0.369011i
\(768\) 17.8981 + 14.9988i 0.645844 + 0.541224i
\(769\) −32.9066 4.95988i −1.18664 0.178858i −0.474090 0.880476i \(-0.657223\pi\)
−0.712553 + 0.701619i \(0.752461\pi\)
\(770\) 1.37876 0.274814i 0.0496872 0.00990361i
\(771\) −13.7167 + 19.1045i −0.493994 + 0.688031i
\(772\) 31.2277 28.9751i 1.12391 1.04284i
\(773\) −16.8827 + 43.0164i −0.607229 + 1.54719i 0.214145 + 0.976802i \(0.431304\pi\)
−0.821373 + 0.570391i \(0.806792\pi\)
\(774\) −5.86537 + 0.594490i −0.210826 + 0.0213685i
\(775\) 4.28384 + 10.9150i 0.153880 + 0.392080i
\(776\) −0.0777382 + 1.03734i −0.00279064 + 0.0372385i
\(777\) 1.75853 13.7994i 0.0630871 0.495050i
\(778\) 0.105784 + 1.41159i 0.00379254 + 0.0506079i
\(779\) −16.4849 + 7.93869i −0.590632 + 0.284433i
\(780\) 8.54094 0.431731i 0.305815 0.0154585i
\(781\) 30.3344 14.6083i 1.08545 0.522725i
\(782\) 0.647253 0.0975577i 0.0231457 0.00348866i
\(783\) −39.4707 + 12.2580i −1.41057 + 0.438065i
\(784\) −22.8181 + 13.7736i −0.814932 + 0.491915i
\(785\) 1.41892 2.45765i 0.0506435 0.0877172i
\(786\) −5.00399 0.497496i −0.178486 0.0177451i
\(787\) −0.518309 + 6.91635i −0.0184757 + 0.246541i 0.980317 + 0.197428i \(0.0632587\pi\)
−0.998793 + 0.0491137i \(0.984360\pi\)
\(788\) 8.15914 + 7.57058i 0.290657 + 0.269691i
\(789\) −30.4575 34.4682i −1.08432 1.22710i
\(790\) 0.462162 0.315096i 0.0164430 0.0112106i
\(791\) −24.9861 21.0822i −0.888405 0.749595i
\(792\) −7.07668 + 10.9876i −0.251459 + 0.390428i
\(793\) 15.6011 + 39.7510i 0.554013 + 1.41160i
\(794\) 2.03823 + 0.981559i 0.0723340 + 0.0348342i
\(795\) 1.07429 + 0.106806i 0.0381012 + 0.00378801i
\(796\) 0.194933 + 0.854059i 0.00690923 + 0.0302713i
\(797\) 8.07796 20.5823i 0.286136 0.729062i −0.713462 0.700694i \(-0.752874\pi\)
0.999598 0.0283681i \(-0.00903105\pi\)
\(798\) −1.95698 + 2.20823i −0.0692765 + 0.0781705i
\(799\) 1.90053 + 4.84247i 0.0672359 + 0.171314i
\(800\) 8.30353 5.66125i 0.293574 0.200155i
\(801\) −23.0293 + 5.89533i −0.813701 + 0.208301i
\(802\) 2.92651 + 5.06887i 0.103339 + 0.178988i
\(803\) −26.0657 45.1472i −0.919840 1.59321i
\(804\) 16.7068 + 10.1947i 0.589205 + 0.359539i
\(805\) 1.36276 4.01973i 0.0480309 0.141677i
\(806\) 2.18888 0.675179i 0.0770999 0.0237822i
\(807\) 5.22234 + 8.07443i 0.183835 + 0.284234i
\(808\) −8.13332 + 10.1989i −0.286129 + 0.358795i
\(809\) 27.1552 + 4.09299i 0.954725 + 0.143902i 0.607887 0.794023i \(-0.292017\pi\)
0.346838 + 0.937925i \(0.387255\pi\)
\(810\) −0.133852 + 0.770624i −0.00470308 + 0.0270770i
\(811\) −5.64216 + 24.7199i −0.198123 + 0.868034i 0.773930 + 0.633271i \(0.218288\pi\)
−0.972053 + 0.234762i \(0.924569\pi\)
\(812\) −1.14519 + 41.3943i −0.0401884 + 1.45265i
\(813\) −1.19514 + 49.1845i −0.0419155 + 1.72498i
\(814\) −3.33300 −0.116822
\(815\) −0.795034 + 1.37704i −0.0278488 + 0.0482356i
\(816\) 0.176166 7.24988i 0.00616704 0.253797i
\(817\) −2.93229 39.1287i −0.102588 1.36894i
\(818\) −4.19685 + 5.26269i −0.146740 + 0.184006i
\(819\) −20.5242 35.6680i −0.717172 1.24634i
\(820\) 3.02990 + 3.79938i 0.105809 + 0.132680i
\(821\) −36.4941 + 33.8615i −1.27365 + 1.18178i −0.299948 + 0.953956i \(0.596969\pi\)
−0.973703 + 0.227820i \(0.926840\pi\)
\(822\) −1.21977 0.121270i −0.0425445 0.00422977i
\(823\) 32.0267 21.8354i 1.11638 0.761135i 0.142861 0.989743i \(-0.454370\pi\)
0.973519 + 0.228608i \(0.0734174\pi\)
\(824\) −4.47618 + 5.61295i −0.155935 + 0.195536i
\(825\) −33.4200 37.8207i −1.16354 1.31675i
\(826\) 0.308416 0.909734i 0.0107312 0.0316537i
\(827\) 35.3742 + 17.0353i 1.23008 + 0.592376i 0.932102 0.362197i \(-0.117973\pi\)
0.297979 + 0.954572i \(0.403687\pi\)
\(828\) 8.94946 + 17.4018i 0.311015 + 0.604753i
\(829\) −22.9090 + 7.06648i −0.795661 + 0.245429i −0.665827 0.746107i \(-0.731921\pi\)
−0.129835 + 0.991536i \(0.541445\pi\)
\(830\) −1.24208 + 0.598156i −0.0431134 + 0.0207623i
\(831\) −4.32061 + 6.01771i −0.149880 + 0.208752i
\(832\) 18.7591 + 32.4916i 0.650353 + 1.12645i
\(833\) 7.21883 + 2.67208i 0.250118 + 0.0925823i
\(834\) −3.16070 0.802663i −0.109446 0.0277940i
\(835\) −0.304037 + 0.774673i −0.0105216 + 0.0268087i
\(836\) −35.6436 24.3014i −1.23276 0.840482i
\(837\) −0.979818 12.7469i −0.0338675 0.440596i
\(838\) 0.155088 2.06951i 0.00535744 0.0714901i
\(839\) −23.3526 + 15.9216i −0.806222 + 0.549673i −0.894837 0.446393i \(-0.852708\pi\)
0.0886147 + 0.996066i \(0.471756\pi\)
\(840\) 1.38618 + 0.758625i 0.0478276 + 0.0261750i
\(841\) 28.3123 + 19.3030i 0.976285 + 0.665620i
\(842\) −2.72729 + 3.41991i −0.0939885 + 0.117858i
\(843\) −11.6080 9.72768i −0.399802 0.335039i
\(844\) −1.29216 1.62031i −0.0444778 0.0557735i
\(845\) 6.41904 + 1.98001i 0.220822 + 0.0681144i
\(846\) 1.95018 1.64065i 0.0670486 0.0564066i
\(847\) 48.8777 49.8394i 1.67946 1.71250i
\(848\) 1.79155 + 4.56480i 0.0615222 + 0.156756i
\(849\) 25.7977 + 21.6188i 0.885375 + 0.741954i
\(850\) −0.899272 0.277389i −0.0308448 0.00951435i
\(851\) −5.03126 + 8.71440i −0.172469 + 0.298726i
\(852\) 18.1903 + 4.61945i 0.623190 + 0.158260i
\(853\) −22.5910 6.96840i −0.773501 0.238593i −0.117216 0.993106i \(-0.537397\pi\)
−0.656285 + 0.754513i \(0.727873\pi\)
\(854\) −0.690021 + 3.85189i −0.0236120 + 0.131809i
\(855\) −5.10397 1.02500i −0.174552 0.0350544i
\(856\) −8.53445 7.91881i −0.291701 0.270659i
\(857\) −12.2994 + 15.4230i −0.420141 + 0.526840i −0.946189 0.323615i \(-0.895102\pi\)
0.526048 + 0.850455i \(0.323673\pi\)
\(858\) −7.85568 + 5.95835i −0.268189 + 0.203415i
\(859\) 1.08188 4.74001i 0.0369131 0.161727i −0.953112 0.302618i \(-0.902139\pi\)
0.990025 + 0.140891i \(0.0449966\pi\)
\(860\) −9.95862 + 3.07183i −0.339586 + 0.104748i
\(861\) 9.66214 21.2949i 0.329285 0.725728i
\(862\) −1.00090 0.308737i −0.0340908 0.0105156i
\(863\) −6.40041 + 11.0858i −0.217872 + 0.377366i −0.954157 0.299306i \(-0.903245\pi\)
0.736285 + 0.676672i \(0.236578\pi\)
\(864\) −10.4643 + 3.24979i −0.356003 + 0.110560i
\(865\) −0.333193 + 0.309158i −0.0113289 + 0.0105117i
\(866\) 0.0128558 + 0.171549i 0.000436859 + 0.00582948i
\(867\) 21.7914 16.5282i 0.740074 0.561329i
\(868\) −12.4044 3.19457i −0.421033 0.108431i
\(869\) 14.3773 36.6328i 0.487717 1.24268i
\(870\) 1.05113 0.573284i 0.0356365 0.0194361i
\(871\) 18.5627 + 23.2769i 0.628974 + 0.788708i
\(872\) 0.475796 + 6.34906i 0.0161125 + 0.215006i
\(873\) 3.49481 + 2.64020i 0.118282 + 0.0893571i
\(874\) 1.92296 0.926048i 0.0650450 0.0313240i
\(875\) −8.75551 + 8.92778i −0.295990 + 0.301814i
\(876\) 5.02781 28.6211i 0.169874 0.967016i
\(877\) 9.88642 4.76105i 0.333841 0.160769i −0.259452 0.965756i \(-0.583542\pi\)
0.593293 + 0.804987i \(0.297828\pi\)
\(878\) 4.65204 + 4.31646i 0.156999 + 0.145674i
\(879\) 2.82875 8.43720i 0.0954114 0.284580i
\(880\) −4.11627 + 10.4881i −0.138760 + 0.353553i
\(881\) −2.25809 −0.0760769 −0.0380385 0.999276i \(-0.512111\pi\)
−0.0380385 + 0.999276i \(0.512111\pi\)
\(882\) 0.109743 3.76944i 0.00369525 0.126924i
\(883\) −4.96221 −0.166992 −0.0834958 0.996508i \(-0.526609\pi\)
−0.0834958 + 0.996508i \(0.526609\pi\)
\(884\) 4.09861 10.4431i 0.137851 0.351239i
\(885\) 1.66099 0.336882i 0.0558337 0.0113242i
\(886\) 3.04827 + 2.82838i 0.102408 + 0.0950212i
\(887\) −18.5958 + 8.95528i −0.624387 + 0.300689i −0.719197 0.694807i \(-0.755490\pi\)
0.0948099 + 0.995495i \(0.469776\pi\)
\(888\) −2.87132 2.40620i −0.0963551 0.0807467i
\(889\) −2.61675 + 7.71862i −0.0877629 + 0.258874i
\(890\) 0.620451 0.298793i 0.0207976 0.0100156i
\(891\) 22.7607 + 50.1009i 0.762511 + 1.67844i
\(892\) −3.90717 52.1375i −0.130822 1.74569i
\(893\) 10.5758 + 13.2616i 0.353906 + 0.443784i
\(894\) 4.20227 + 2.56427i 0.140545 + 0.0857619i
\(895\) 0.720956 1.83697i 0.0240989 0.0614030i
\(896\) −0.403664 + 14.5909i −0.0134855 + 0.487448i
\(897\) 3.72021 + 29.5336i 0.124214 + 0.986099i
\(898\) 0.366361 + 4.88875i 0.0122256 + 0.163140i
\(899\) −14.3457 + 13.3109i −0.478456 + 0.443942i
\(900\) −0.737329 28.1240i −0.0245776 0.937466i
\(901\) 0.708119 1.22650i 0.0235908 0.0408605i
\(902\) −5.35386 1.65145i −0.178264 0.0549872i
\(903\) 34.9408 + 35.9729i 1.16276 + 1.19710i
\(904\) −8.41283 + 2.59501i −0.279806 + 0.0863089i
\(905\) −1.27550 + 5.58833i −0.0423991 + 0.185762i
\(906\) −0.437766 3.47529i −0.0145438 0.115459i
\(907\) −21.4558 + 26.9047i −0.712428 + 0.893356i −0.997883 0.0650359i \(-0.979284\pi\)
0.285455 + 0.958392i \(0.407855\pi\)
\(908\) 32.8828 + 30.5108i 1.09126 + 1.01254i
\(909\) 17.5595 + 52.0429i 0.582413 + 1.72615i
\(910\) 0.786369 + 0.895974i 0.0260679 + 0.0297012i
\(911\) −35.2343 10.8683i −1.16736 0.360084i −0.350304 0.936636i \(-0.613922\pi\)
−0.817061 + 0.576552i \(0.804398\pi\)
\(912\) −6.41898 22.7586i −0.212554 0.753613i
\(913\) −48.4956 + 83.9969i −1.60497 + 2.77989i
\(914\) −3.57148 1.10166i −0.118134 0.0364395i
\(915\) −6.48635 + 2.36553i −0.214432 + 0.0782021i
\(916\) −7.68178 19.5728i −0.253813 0.646705i
\(917\) 23.1099 + 35.9960i 0.763156 + 1.18869i
\(918\) 0.848882 + 0.576377i 0.0280173 + 0.0190233i
\(919\) −29.8775 9.21598i −0.985566 0.304007i −0.240245 0.970712i \(-0.577228\pi\)
−0.745321 + 0.666705i \(0.767704\pi\)
\(920\) −0.712668 0.893658i −0.0234960 0.0294630i
\(921\) −4.07262 + 23.1836i −0.134197 + 0.763925i
\(922\) −0.865880 + 1.08578i −0.0285162 + 0.0357582i
\(923\) 23.5885 + 16.0824i 0.776426 + 0.529358i
\(924\) 54.8722 5.37520i 1.80516 0.176831i
\(925\) 11.9533 8.14961i 0.393022 0.267958i
\(926\) 0.188168 2.51092i 0.00618357 0.0825140i
\(927\) 9.66390 + 28.6419i 0.317404 + 0.940722i
\(928\) 13.8585 + 9.44855i 0.454927 + 0.310164i
\(929\) −6.10956 + 15.5669i −0.200448 + 0.510734i −0.995385 0.0959581i \(-0.969409\pi\)
0.794937 + 0.606692i \(0.207504\pi\)
\(930\) 0.100534 + 0.356446i 0.00329665 + 0.0116883i
\(931\) 25.0607 + 1.38769i 0.821331 + 0.0454798i
\(932\) −17.4683 30.2559i −0.572192 0.991066i
\(933\) −17.1154 37.8670i −0.560332 1.23971i
\(934\) −0.0933004 + 0.0449311i −0.00305288 + 0.00147019i
\(935\) 3.10938 0.959118i 0.101688 0.0313665i
\(936\) −11.0690 0.538254i −0.361803 0.0175934i
\(937\) 7.05976 + 3.39980i 0.230632 + 0.111067i 0.545631 0.838025i \(-0.316290\pi\)
−0.314999 + 0.949092i \(0.602004\pi\)
\(938\) 0.331865 + 2.70801i 0.0108358 + 0.0884197i
\(939\) 0.559832 1.66979i 0.0182694 0.0544914i
\(940\) 2.80891 3.52226i 0.0916165 0.114883i
\(941\) −10.3678 + 7.06867i −0.337982 + 0.230432i −0.720402 0.693556i \(-0.756043\pi\)
0.382421 + 0.923988i \(0.375090\pi\)
\(942\) −1.06369 + 1.48150i −0.0346568 + 0.0482697i
\(943\) −12.3997 + 11.5052i −0.403788 + 0.374661i
\(944\) 4.79981 + 6.01878i 0.156221 + 0.195895i
\(945\) 5.84573 3.17729i 0.190162 0.103357i
\(946\) 7.49150 9.39404i 0.243570 0.305427i
\(947\) −2.25097 30.0371i −0.0731468 0.976076i −0.906191 0.422869i \(-0.861023\pi\)
0.833044 0.553207i \(-0.186596\pi\)
\(948\) 19.2583 10.5035i 0.625481 0.341137i
\(949\) 22.1024 38.2825i 0.717475 1.24270i
\(950\) −3.06856 −0.0995574
\(951\) −13.3470 8.14448i −0.432807 0.264103i
\(952\) 1.65581 1.24714i 0.0536652 0.0404202i
\(953\) −6.45253 + 28.2704i −0.209018 + 0.915768i 0.756204 + 0.654336i \(0.227052\pi\)
−0.965222 + 0.261432i \(0.915805\pi\)
\(954\) −0.680239 0.136609i −0.0220235 0.00442287i
\(955\) 3.68096 + 0.554816i 0.119113 + 0.0179534i
\(956\) −2.73118 + 3.42480i −0.0883328 + 0.110766i
\(957\) 38.3811 74.9830i 1.24068 2.42386i
\(958\) 6.68300 2.06143i 0.215918 0.0666018i
\(959\) 5.63328 + 8.77439i 0.181908 + 0.283340i
\(960\) −5.32540 + 2.90447i −0.171876 + 0.0937413i
\(961\) 12.4733 + 21.6044i 0.402364 + 0.696915i
\(962\) −1.41311 2.44757i −0.0455604 0.0789129i
\(963\) −47.4889 + 12.1568i −1.53031 + 0.391748i
\(964\) −10.9379 + 7.45730i −0.352284 + 0.240183i
\(965\) 3.82777 + 9.75301i 0.123220 + 0.313960i
\(966\) −1.12709 + 2.48405i −0.0362634 + 0.0799229i
\(967\) 7.43372 18.9408i 0.239052 0.609095i −0.760120 0.649783i \(-0.774860\pi\)
0.999172 + 0.0406878i \(0.0129549\pi\)
\(968\) −4.18318 18.3277i −0.134452 0.589075i
\(969\) −3.98298 + 5.54746i −0.127952 + 0.178210i
\(970\) −0.114319 0.0550529i −0.00367055 0.00176764i
\(971\) 13.3782 + 34.0872i 0.429328 + 1.09391i 0.967901 + 0.251332i \(0.0808685\pi\)
−0.538573 + 0.842579i \(0.681036\pi\)
\(972\) −8.21345 + 29.5542i −0.263447 + 0.947950i
\(973\) 11.3400 + 25.3159i 0.363544 + 0.811589i
\(974\) 0.832436 0.567545i 0.0266730 0.0181853i
\(975\) 13.6043 40.5768i 0.435685 1.29950i
\(976\) −22.9892 21.3309i −0.735866 0.682784i
\(977\) 0.891282 11.8933i 0.0285146 0.380502i −0.964630 0.263608i \(-0.915087\pi\)
0.993144 0.116893i \(-0.0372936\pi\)
\(978\) 0.595992 0.830093i 0.0190577 0.0265435i
\(979\) 24.2247 41.9585i 0.774226 1.34100i
\(980\) −1.12178 6.57119i −0.0358341 0.209909i
\(981\) 23.5595 + 12.7908i 0.752198 + 0.408380i
\(982\) −3.91806 + 0.590552i −0.125030 + 0.0188453i
\(983\) 45.4003 21.8636i 1.44804 0.697342i 0.465790 0.884895i \(-0.345770\pi\)
0.982254 + 0.187553i \(0.0600558\pi\)
\(984\) −3.42002 5.28781i −0.109026 0.168569i
\(985\) −2.46639 + 1.18775i −0.0785857 + 0.0378449i
\(986\) −0.117375 1.56626i −0.00373798 0.0498799i
\(987\) −21.2399 4.33988i −0.676073 0.138140i
\(988\) 2.73364 36.4779i 0.0869687 1.16052i
\(989\) −13.2528 33.7677i −0.421416 1.07375i
\(990\) −0.932212 1.29314i −0.0296276 0.0410986i
\(991\) −16.8393 + 42.9059i −0.534919 + 1.36295i 0.366668 + 0.930352i \(0.380498\pi\)
−0.901587 + 0.432598i \(0.857597\pi\)
\(992\) −3.80328 + 3.52893i −0.120754 + 0.112044i
\(993\) −30.2723 3.00967i −0.960664 0.0955090i
\(994\) 1.06951 + 2.38760i 0.0339226 + 0.0757301i
\(995\) −0.213049 0.0321120i −0.00675411 0.00101802i
\(996\) −50.7929 + 18.5239i −1.60943 + 0.586951i
\(997\) 4.34465 + 19.0352i 0.137597 + 0.602850i 0.995959 + 0.0898065i \(0.0286249\pi\)
−0.858363 + 0.513043i \(0.828518\pi\)
\(998\) 1.25250 + 2.16939i 0.0396471 + 0.0686708i
\(999\) −15.0638 + 4.67822i −0.476599 + 0.148012i
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 441.2.z.a.142.27 yes 648
9.4 even 3 441.2.y.a.436.27 yes 648
49.39 even 21 441.2.y.a.88.27 648
441.382 even 21 inner 441.2.z.a.382.27 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.27 648 49.39 even 21
441.2.y.a.436.27 yes 648 9.4 even 3
441.2.z.a.142.27 yes 648 1.1 even 1 trivial
441.2.z.a.382.27 yes 648 441.382 even 21 inner