Properties

Label 378.2.z.a.293.24
Level $378$
Weight $2$
Character 378.293
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
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] = [378,2,Mod(41,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([17, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.z (of order \(18\), degree \(6\), 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: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 293.24
Character \(\chi\) \(=\) 378.293
Dual form 378.2.z.a.209.24

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.342020 - 0.939693i) q^{2} +(1.73170 - 0.0346644i) q^{3} +(-0.766044 - 0.642788i) q^{4} +(0.123924 - 0.702807i) q^{5} +(0.559704 - 1.63913i) q^{6} +(-0.723982 - 2.54477i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(2.99760 - 0.120057i) q^{9} +O(q^{10})\) \(q+(0.342020 - 0.939693i) q^{2} +(1.73170 - 0.0346644i) q^{3} +(-0.766044 - 0.642788i) q^{4} +(0.123924 - 0.702807i) q^{5} +(0.559704 - 1.63913i) q^{6} +(-0.723982 - 2.54477i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(2.99760 - 0.120057i) q^{9} +(-0.618038 - 0.356825i) q^{10} +(0.807149 - 0.142322i) q^{11} +(-1.34884 - 1.08656i) q^{12} +(-0.0818071 - 0.224763i) q^{13} +(-2.63892 - 0.190042i) q^{14} +(0.190237 - 1.22135i) q^{15} +(0.173648 + 0.984808i) q^{16} +(0.0369568 - 0.0640110i) q^{17} +(0.912422 - 2.85788i) q^{18} +(-4.97230 + 2.87076i) q^{19} +(-0.546687 + 0.458725i) q^{20} +(-1.34194 - 4.38169i) q^{21} +(0.142322 - 0.807149i) q^{22} +(4.92229 - 5.86616i) q^{23} +(-1.48237 + 0.895872i) q^{24} +(4.21988 + 1.53591i) q^{25} -0.239188 q^{26} +(5.18679 - 0.311813i) q^{27} +(-1.08114 + 2.41477i) q^{28} +(-1.00010 + 2.74775i) q^{29} +(-1.08263 - 0.596490i) q^{30} +(-4.50788 + 5.37228i) q^{31} +(0.984808 + 0.173648i) q^{32} +(1.39281 - 0.274439i) q^{33} +(-0.0475107 - 0.0566211i) q^{34} +(-1.87820 + 0.193462i) q^{35} +(-2.37346 - 1.83485i) q^{36} +(-1.15373 + 1.99833i) q^{37} +(0.997004 + 5.65429i) q^{38} +(-0.149457 - 0.386387i) q^{39} +(0.244082 + 0.670611i) q^{40} +(5.82390 - 2.11973i) q^{41} +(-4.57641 - 0.237619i) q^{42} +(0.999047 + 5.66588i) q^{43} +(-0.709795 - 0.409800i) q^{44} +(0.287097 - 2.12161i) q^{45} +(-3.82886 - 6.63178i) q^{46} +(2.97002 - 2.49214i) q^{47} +(0.334845 + 1.69938i) q^{48} +(-5.95170 + 3.68473i) q^{49} +(2.88657 - 3.44008i) q^{50} +(0.0617793 - 0.112129i) q^{51} +(-0.0818071 + 0.224763i) q^{52} +7.28847i q^{53} +(1.48098 - 4.98063i) q^{54} -0.584907i q^{55} +(1.89937 + 1.84184i) q^{56} +(-8.51104 + 5.14367i) q^{57} +(2.23999 + 1.87957i) q^{58} +(-0.769763 + 4.36554i) q^{59} +(-0.930798 + 0.813326i) q^{60} +(-3.92470 - 4.67727i) q^{61} +(3.50651 + 6.07345i) q^{62} +(-2.47572 - 7.54127i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-0.168103 + 0.0296411i) q^{65} +(0.218481 - 1.40268i) q^{66} +(-8.29797 + 3.02022i) q^{67} +(-0.0694560 + 0.0252799i) q^{68} +(8.32060 - 10.3291i) q^{69} +(-0.460587 + 1.83110i) q^{70} +(-8.38698 - 4.84222i) q^{71} +(-2.53597 + 1.60277i) q^{72} +(-7.78125 + 4.49250i) q^{73} +(1.48321 + 1.76762i) q^{74} +(7.36083 + 2.51346i) q^{75} +(5.65429 + 0.997004i) q^{76} +(-0.946539 - 1.95097i) q^{77} +(-0.414203 + 0.00829131i) q^{78} +(10.5210 + 3.82935i) q^{79} +0.713649 q^{80} +(8.97117 - 0.719765i) q^{81} -6.19767i q^{82} +(7.13153 + 2.59567i) q^{83} +(-1.78851 + 4.21915i) q^{84} +(-0.0404076 - 0.0339060i) q^{85} +(5.66588 + 0.999047i) q^{86} +(-1.63663 + 4.79296i) q^{87} +(-0.627851 + 0.526829i) q^{88} +(6.93011 + 12.0033i) q^{89} +(-1.89547 - 0.995416i) q^{90} +(-0.512743 + 0.370905i) q^{91} +(-7.54138 + 1.32975i) q^{92} +(-7.62009 + 9.45946i) q^{93} +(-1.32604 - 3.64327i) q^{94} +(1.40140 + 3.85032i) q^{95} +(1.71141 + 0.266569i) q^{96} +(7.73109 - 1.36320i) q^{97} +(1.42692 + 6.85302i) q^{98} +(2.40242 - 0.523529i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{11}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.342020 0.939693i 0.241845 0.664463i
\(3\) 1.73170 0.0346644i 0.999800 0.0200135i
\(4\) −0.766044 0.642788i −0.383022 0.321394i
\(5\) 0.123924 0.702807i 0.0554204 0.314305i −0.944478 0.328575i \(-0.893431\pi\)
0.999898 + 0.0142705i \(0.00454260\pi\)
\(6\) 0.559704 1.63913i 0.228498 0.669170i
\(7\) −0.723982 2.54477i −0.273639 0.961832i
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) 2.99760 0.120057i 0.999199 0.0400190i
\(10\) −0.618038 0.356825i −0.195441 0.112838i
\(11\) 0.807149 0.142322i 0.243365 0.0429118i −0.0506352 0.998717i \(-0.516125\pi\)
0.294000 + 0.955805i \(0.405013\pi\)
\(12\) −1.34884 1.08656i −0.389378 0.313664i
\(13\) −0.0818071 0.224763i −0.0226892 0.0623381i 0.927831 0.373001i \(-0.121671\pi\)
−0.950520 + 0.310663i \(0.899449\pi\)
\(14\) −2.63892 0.190042i −0.705280 0.0507908i
\(15\) 0.190237 1.22135i 0.0491190 0.315351i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) 0.0369568 0.0640110i 0.00896333 0.0155250i −0.861509 0.507742i \(-0.830480\pi\)
0.870472 + 0.492217i \(0.163814\pi\)
\(18\) 0.912422 2.85788i 0.215060 0.673609i
\(19\) −4.97230 + 2.87076i −1.14072 + 0.658597i −0.946610 0.322382i \(-0.895517\pi\)
−0.194114 + 0.980979i \(0.562183\pi\)
\(20\) −0.546687 + 0.458725i −0.122243 + 0.102574i
\(21\) −1.34194 4.38169i −0.292834 0.956163i
\(22\) 0.142322 0.807149i 0.0303432 0.172085i
\(23\) 4.92229 5.86616i 1.02637 1.22318i 0.0518999 0.998652i \(-0.483472\pi\)
0.974468 0.224526i \(-0.0720832\pi\)
\(24\) −1.48237 + 0.895872i −0.302587 + 0.182869i
\(25\) 4.21988 + 1.53591i 0.843976 + 0.307182i
\(26\) −0.239188 −0.0469086
\(27\) 5.18679 0.311813i 0.998198 0.0600085i
\(28\) −1.08114 + 2.41477i −0.204317 + 0.456349i
\(29\) −1.00010 + 2.74775i −0.185714 + 0.510244i −0.997254 0.0740516i \(-0.976407\pi\)
0.811541 + 0.584296i \(0.198629\pi\)
\(30\) −1.08263 0.596490i −0.197660 0.108904i
\(31\) −4.50788 + 5.37228i −0.809639 + 0.964890i −0.999858 0.0168514i \(-0.994636\pi\)
0.190219 + 0.981742i \(0.439080\pi\)
\(32\) 0.984808 + 0.173648i 0.174091 + 0.0306970i
\(33\) 1.39281 0.274439i 0.242457 0.0477737i
\(34\) −0.0475107 0.0566211i −0.00814802 0.00971043i
\(35\) −1.87820 + 0.193462i −0.317474 + 0.0327011i
\(36\) −2.37346 1.83485i −0.395577 0.305808i
\(37\) −1.15373 + 1.99833i −0.189673 + 0.328523i −0.945141 0.326662i \(-0.894076\pi\)
0.755468 + 0.655185i \(0.227409\pi\)
\(38\) 0.997004 + 5.65429i 0.161735 + 0.917247i
\(39\) −0.149457 0.386387i −0.0239323 0.0618715i
\(40\) 0.244082 + 0.670611i 0.0385928 + 0.106033i
\(41\) 5.82390 2.11973i 0.909541 0.331046i 0.155471 0.987840i \(-0.450310\pi\)
0.754069 + 0.656795i \(0.228088\pi\)
\(42\) −4.57641 0.237619i −0.706156 0.0366655i
\(43\) 0.999047 + 5.66588i 0.152353 + 0.864038i 0.961166 + 0.275972i \(0.0889995\pi\)
−0.808813 + 0.588066i \(0.799889\pi\)
\(44\) −0.709795 0.409800i −0.107006 0.0617797i
\(45\) 0.287097 2.12161i 0.0427979 0.316271i
\(46\) −3.82886 6.63178i −0.564535 0.977803i
\(47\) 2.97002 2.49214i 0.433222 0.363516i −0.399944 0.916540i \(-0.630970\pi\)
0.833166 + 0.553023i \(0.186526\pi\)
\(48\) 0.334845 + 1.69938i 0.0483307 + 0.245284i
\(49\) −5.95170 + 3.68473i −0.850243 + 0.526391i
\(50\) 2.88657 3.44008i 0.408223 0.486501i
\(51\) 0.0617793 0.112129i 0.00865083 0.0157012i
\(52\) −0.0818071 + 0.224763i −0.0113446 + 0.0311690i
\(53\) 7.28847i 1.00115i 0.865694 + 0.500574i \(0.166878\pi\)
−0.865694 + 0.500574i \(0.833122\pi\)
\(54\) 1.48098 4.98063i 0.201536 0.677778i
\(55\) 0.584907i 0.0788689i
\(56\) 1.89937 + 1.84184i 0.253814 + 0.246127i
\(57\) −8.51104 + 5.14367i −1.12731 + 0.681295i
\(58\) 2.23999 + 1.87957i 0.294125 + 0.246800i
\(59\) −0.769763 + 4.36554i −0.100215 + 0.568345i 0.892810 + 0.450434i \(0.148731\pi\)
−0.993024 + 0.117911i \(0.962380\pi\)
\(60\) −0.930798 + 0.813326i −0.120166 + 0.105000i
\(61\) −3.92470 4.67727i −0.502506 0.598863i 0.453846 0.891080i \(-0.350052\pi\)
−0.956352 + 0.292217i \(0.905607\pi\)
\(62\) 3.50651 + 6.07345i 0.445327 + 0.771329i
\(63\) −2.47572 7.54127i −0.311912 0.950111i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −0.168103 + 0.0296411i −0.0208506 + 0.00367652i
\(66\) 0.218481 1.40268i 0.0268931 0.172658i
\(67\) −8.29797 + 3.02022i −1.01376 + 0.368978i −0.794875 0.606773i \(-0.792464\pi\)
−0.218884 + 0.975751i \(0.570241\pi\)
\(68\) −0.0694560 + 0.0252799i −0.00842278 + 0.00306564i
\(69\) 8.32060 10.3291i 1.00168 1.24347i
\(70\) −0.460587 + 1.83110i −0.0550507 + 0.218858i
\(71\) −8.38698 4.84222i −0.995351 0.574666i −0.0884814 0.996078i \(-0.528201\pi\)
−0.906869 + 0.421412i \(0.861535\pi\)
\(72\) −2.53597 + 1.60277i −0.298867 + 0.188888i
\(73\) −7.78125 + 4.49250i −0.910726 + 0.525808i −0.880665 0.473740i \(-0.842904\pi\)
−0.0300613 + 0.999548i \(0.509570\pi\)
\(74\) 1.48321 + 1.76762i 0.172420 + 0.205482i
\(75\) 7.36083 + 2.51346i 0.849955 + 0.290230i
\(76\) 5.65429 + 0.997004i 0.648592 + 0.114364i
\(77\) −0.946539 1.95097i −0.107868 0.222334i
\(78\) −0.414203 + 0.00829131i −0.0468992 + 0.000938806i
\(79\) 10.5210 + 3.82935i 1.18371 + 0.430835i 0.857511 0.514466i \(-0.172010\pi\)
0.326199 + 0.945301i \(0.394232\pi\)
\(80\) 0.713649 0.0797884
\(81\) 8.97117 0.719765i 0.996797 0.0799739i
\(82\) 6.19767i 0.684418i
\(83\) 7.13153 + 2.59567i 0.782787 + 0.284911i 0.702334 0.711847i \(-0.252141\pi\)
0.0804529 + 0.996758i \(0.474363\pi\)
\(84\) −1.78851 + 4.21915i −0.195143 + 0.460347i
\(85\) −0.0404076 0.0339060i −0.00438282 0.00367762i
\(86\) 5.66588 + 0.999047i 0.610967 + 0.107730i
\(87\) −1.63663 + 4.79296i −0.175465 + 0.513859i
\(88\) −0.627851 + 0.526829i −0.0669291 + 0.0561602i
\(89\) 6.93011 + 12.0033i 0.734590 + 1.27235i 0.954903 + 0.296918i \(0.0959588\pi\)
−0.220313 + 0.975429i \(0.570708\pi\)
\(90\) −1.89547 0.995416i −0.199800 0.104926i
\(91\) −0.512743 + 0.370905i −0.0537501 + 0.0388814i
\(92\) −7.54138 + 1.32975i −0.786244 + 0.138636i
\(93\) −7.62009 + 9.45946i −0.790166 + 0.980901i
\(94\) −1.32604 3.64327i −0.136771 0.375774i
\(95\) 1.40140 + 3.85032i 0.143781 + 0.395035i
\(96\) 1.71141 + 0.266569i 0.174671 + 0.0272066i
\(97\) 7.73109 1.36320i 0.784974 0.138412i 0.233225 0.972423i \(-0.425072\pi\)
0.551748 + 0.834011i \(0.313961\pi\)
\(98\) 1.42692 + 6.85302i 0.144140 + 0.692260i
\(99\) 2.40242 0.523529i 0.241452 0.0526166i
\(100\) −2.24535 3.88906i −0.224535 0.388906i
\(101\) 0.0420314 0.0352686i 0.00418228 0.00350935i −0.640694 0.767796i \(-0.721353\pi\)
0.644876 + 0.764287i \(0.276909\pi\)
\(102\) −0.0842372 0.0964040i −0.00834073 0.00954542i
\(103\) −0.312100 0.0550316i −0.0307521 0.00542242i 0.158251 0.987399i \(-0.449414\pi\)
−0.189003 + 0.981976i \(0.560526\pi\)
\(104\) 0.183229 + 0.153747i 0.0179670 + 0.0150761i
\(105\) −3.24578 + 0.400126i −0.316756 + 0.0390483i
\(106\) 6.84892 + 2.49280i 0.665226 + 0.242122i
\(107\) 15.0949i 1.45928i −0.683833 0.729639i \(-0.739688\pi\)
0.683833 0.729639i \(-0.260312\pi\)
\(108\) −4.17374 3.09514i −0.401618 0.297830i
\(109\) −8.46269 −0.810579 −0.405289 0.914188i \(-0.632829\pi\)
−0.405289 + 0.914188i \(0.632829\pi\)
\(110\) −0.549633 0.200050i −0.0524055 0.0190740i
\(111\) −1.92866 + 3.50050i −0.183060 + 0.332253i
\(112\) 2.38039 1.15488i 0.224926 0.109126i
\(113\) 11.1355 + 1.96349i 1.04754 + 0.184709i 0.670821 0.741619i \(-0.265942\pi\)
0.376717 + 0.926328i \(0.377053\pi\)
\(114\) 1.92252 + 9.75700i 0.180060 + 0.913827i
\(115\) −3.51279 4.18638i −0.327569 0.390382i
\(116\) 2.53234 1.46205i 0.235122 0.135748i
\(117\) −0.272209 0.663928i −0.0251657 0.0613801i
\(118\) 3.83899 + 2.21644i 0.353408 + 0.204040i
\(119\) −0.189649 0.0477036i −0.0173851 0.00437299i
\(120\) 0.445925 + 1.15284i 0.0407072 + 0.105239i
\(121\) −9.70538 + 3.53247i −0.882308 + 0.321134i
\(122\) −5.73752 + 2.08829i −0.519451 + 0.189065i
\(123\) 10.0118 3.87262i 0.902733 0.349183i
\(124\) 6.90647 1.21780i 0.620220 0.109361i
\(125\) 3.38652 5.86562i 0.302899 0.524637i
\(126\) −7.93323 0.252848i −0.706748 0.0225255i
\(127\) −5.31178 9.20028i −0.471345 0.816393i 0.528118 0.849171i \(-0.322898\pi\)
−0.999463 + 0.0327782i \(0.989565\pi\)
\(128\) −0.642788 0.766044i −0.0568149 0.0677094i
\(129\) 1.92646 + 9.77699i 0.169615 + 0.860816i
\(130\) −0.0296411 + 0.168103i −0.00259969 + 0.0147436i
\(131\) −7.98492 6.70014i −0.697645 0.585394i 0.223457 0.974714i \(-0.428266\pi\)
−0.921103 + 0.389320i \(0.872710\pi\)
\(132\) −1.24336 0.685048i −0.108221 0.0596258i
\(133\) 10.9053 + 10.5750i 0.945607 + 0.916967i
\(134\) 8.83052i 0.762841i
\(135\) 0.423622 3.68395i 0.0364596 0.317064i
\(136\) 0.0739136i 0.00633803i
\(137\) −7.65157 + 21.0225i −0.653718 + 1.79608i −0.0501815 + 0.998740i \(0.515980\pi\)
−0.603537 + 0.797335i \(0.706242\pi\)
\(138\) −6.86034 11.3516i −0.583991 0.966309i
\(139\) −4.22587 + 5.03620i −0.358434 + 0.427165i −0.914884 0.403716i \(-0.867718\pi\)
0.556451 + 0.830881i \(0.312163\pi\)
\(140\) 1.56314 + 1.05908i 0.132109 + 0.0895089i
\(141\) 5.05681 4.41861i 0.425860 0.372114i
\(142\) −7.41872 + 6.22504i −0.622565 + 0.522394i
\(143\) −0.0980193 0.169774i −0.00819679 0.0141972i
\(144\) 0.638760 + 2.93121i 0.0532300 + 0.244267i
\(145\) 1.80720 + 1.04339i 0.150080 + 0.0866487i
\(146\) 1.56023 + 8.84851i 0.129126 + 0.732308i
\(147\) −10.1789 + 6.58718i −0.839538 + 0.543302i
\(148\) 2.16831 0.789201i 0.178234 0.0648719i
\(149\) −2.68205 7.36888i −0.219722 0.603682i 0.780035 0.625736i \(-0.215201\pi\)
−0.999757 + 0.0220546i \(0.992979\pi\)
\(150\) 4.87944 6.05726i 0.398404 0.494573i
\(151\) −1.80027 10.2098i −0.146504 0.830864i −0.966147 0.257990i \(-0.916940\pi\)
0.819644 0.572874i \(-0.194171\pi\)
\(152\) 2.87076 4.97230i 0.232849 0.403307i
\(153\) 0.103097 0.196316i 0.00833486 0.0158712i
\(154\) −2.15705 + 0.222184i −0.173820 + 0.0179041i
\(155\) 3.21704 + 3.83392i 0.258399 + 0.307948i
\(156\) −0.133874 + 0.392059i −0.0107185 + 0.0313898i
\(157\) 15.5020 + 2.73342i 1.23719 + 0.218151i 0.753713 0.657204i \(-0.228261\pi\)
0.483481 + 0.875355i \(0.339372\pi\)
\(158\) 7.19682 8.57684i 0.572548 0.682337i
\(159\) 0.252651 + 12.6215i 0.0200365 + 1.00095i
\(160\) 0.244082 0.670611i 0.0192964 0.0530164i
\(161\) −18.4917 8.27910i −1.45735 0.652484i
\(162\) 2.39196 8.67632i 0.187930 0.681676i
\(163\) −10.4617 −0.819422 −0.409711 0.912215i \(-0.634370\pi\)
−0.409711 + 0.912215i \(0.634370\pi\)
\(164\) −5.82390 2.11973i −0.454770 0.165523i
\(165\) −0.0202755 1.01289i −0.00157844 0.0788531i
\(166\) 4.87826 5.81368i 0.378626 0.451229i
\(167\) 2.39819 13.6008i 0.185578 1.05246i −0.739634 0.673010i \(-0.765001\pi\)
0.925211 0.379453i \(-0.123888\pi\)
\(168\) 3.35300 + 3.12369i 0.258689 + 0.240998i
\(169\) 9.91475 8.31946i 0.762673 0.639959i
\(170\) −0.0456814 + 0.0263742i −0.00350360 + 0.00202281i
\(171\) −14.5603 + 9.20234i −1.11345 + 0.703720i
\(172\) 2.87664 4.98249i 0.219342 0.379911i
\(173\) −0.451385 2.55993i −0.0343182 0.194628i 0.962829 0.270112i \(-0.0870609\pi\)
−0.997147 + 0.0754842i \(0.975950\pi\)
\(174\) 3.94415 + 3.17721i 0.299005 + 0.240864i
\(175\) 0.853421 11.8506i 0.0645126 0.895821i
\(176\) 0.280320 + 0.770173i 0.0211299 + 0.0580540i
\(177\) −1.18167 + 7.58651i −0.0888200 + 0.570237i
\(178\) 13.6496 2.40680i 1.02308 0.180397i
\(179\) −18.7909 10.8489i −1.40450 0.810887i −0.409648 0.912244i \(-0.634348\pi\)
−0.994850 + 0.101356i \(0.967682\pi\)
\(180\) −1.58367 + 1.44071i −0.118040 + 0.107384i
\(181\) 18.3629 10.6018i 1.36491 0.788029i 0.374634 0.927173i \(-0.377768\pi\)
0.990272 + 0.139144i \(0.0444352\pi\)
\(182\) 0.173168 + 0.608678i 0.0128360 + 0.0451182i
\(183\) −6.95855 7.96360i −0.514390 0.588686i
\(184\) −1.32975 + 7.54138i −0.0980304 + 0.555958i
\(185\) 1.26146 + 1.05849i 0.0927446 + 0.0778220i
\(186\) 6.28277 + 10.3959i 0.460675 + 0.762262i
\(187\) 0.0207194 0.0569262i 0.00151516 0.00416286i
\(188\) −3.87709 −0.282766
\(189\) −4.54863 12.9734i −0.330864 0.943678i
\(190\) 4.09743 0.297259
\(191\) 4.97735 13.6752i 0.360149 0.989500i −0.618828 0.785527i \(-0.712392\pi\)
0.978976 0.203974i \(-0.0653857\pi\)
\(192\) 0.835832 1.51703i 0.0603210 0.109482i
\(193\) −14.1457 11.8697i −1.01823 0.854397i −0.0288263 0.999584i \(-0.509177\pi\)
−0.989404 + 0.145188i \(0.953621\pi\)
\(194\) 1.36320 7.73109i 0.0978721 0.555060i
\(195\) −0.290077 + 0.0571568i −0.0207728 + 0.00409308i
\(196\) 6.92777 + 1.00301i 0.494841 + 0.0716435i
\(197\) −2.35315 + 1.35859i −0.167655 + 0.0967956i −0.581480 0.813561i \(-0.697526\pi\)
0.413825 + 0.910357i \(0.364193\pi\)
\(198\) 0.329721 2.43660i 0.0234322 0.173161i
\(199\) −15.0034 8.66222i −1.06356 0.614049i −0.137148 0.990551i \(-0.543793\pi\)
−0.926416 + 0.376502i \(0.877127\pi\)
\(200\) −4.42248 + 0.779803i −0.312717 + 0.0551404i
\(201\) −14.2649 + 5.51776i −1.00617 + 0.389193i
\(202\) −0.0187660 0.0515592i −0.00132037 0.00362769i
\(203\) 7.71644 + 0.555700i 0.541588 + 0.0390025i
\(204\) −0.119401 + 0.0461850i −0.00835974 + 0.00323360i
\(205\) −0.768039 4.35576i −0.0536422 0.304220i
\(206\) −0.158457 + 0.274456i −0.0110402 + 0.0191222i
\(207\) 14.0508 18.1753i 0.976596 1.26327i
\(208\) 0.207143 0.119594i 0.0143628 0.00829235i
\(209\) −3.60482 + 3.02480i −0.249350 + 0.209230i
\(210\) −0.734127 + 3.18689i −0.0506596 + 0.219916i
\(211\) 1.06411 6.03484i 0.0732561 0.415456i −0.926022 0.377469i \(-0.876794\pi\)
0.999278 0.0379867i \(-0.0120944\pi\)
\(212\) 4.68494 5.58329i 0.321763 0.383462i
\(213\) −14.6916 8.09457i −1.00665 0.554630i
\(214\) −14.1846 5.16275i −0.969636 0.352919i
\(215\) 4.10582 0.280015
\(216\) −4.33598 + 2.86343i −0.295026 + 0.194832i
\(217\) 16.9348 + 7.58208i 1.14961 + 0.514705i
\(218\) −2.89441 + 7.95233i −0.196034 + 0.538600i
\(219\) −13.3191 + 8.04942i −0.900020 + 0.543929i
\(220\) −0.375971 + 0.448065i −0.0253480 + 0.0302085i
\(221\) −0.0174106 0.00306997i −0.00117117 0.000206508i
\(222\) 2.62976 + 3.00959i 0.176498 + 0.201990i
\(223\) −17.4225 20.7633i −1.16670 1.39041i −0.905080 0.425242i \(-0.860189\pi\)
−0.261616 0.965172i \(-0.584255\pi\)
\(224\) −0.271089 2.63183i −0.0181129 0.175846i
\(225\) 12.8339 + 4.09742i 0.855594 + 0.273161i
\(226\) 5.65364 9.79239i 0.376074 0.651380i
\(227\) −3.78053 21.4405i −0.250923 1.42305i −0.806325 0.591473i \(-0.798547\pi\)
0.555402 0.831582i \(-0.312564\pi\)
\(228\) 9.82612 + 1.53051i 0.650751 + 0.101361i
\(229\) 9.37368 + 25.7540i 0.619430 + 1.70187i 0.708378 + 0.705834i \(0.249427\pi\)
−0.0889477 + 0.996036i \(0.528350\pi\)
\(230\) −5.13535 + 1.86911i −0.338615 + 0.123246i
\(231\) −1.70675 3.34569i −0.112296 0.220130i
\(232\) −0.507764 2.87967i −0.0333363 0.189060i
\(233\) −5.02334 2.90023i −0.329090 0.190000i 0.326347 0.945250i \(-0.394182\pi\)
−0.655437 + 0.755250i \(0.727515\pi\)
\(234\) −0.716989 + 0.0287162i −0.0468710 + 0.00187724i
\(235\) −1.38344 2.39619i −0.0902456 0.156310i
\(236\) 3.39579 2.84941i 0.221047 0.185481i
\(237\) 18.3521 + 6.26659i 1.19210 + 0.407059i
\(238\) −0.109691 + 0.161896i −0.00711019 + 0.0104942i
\(239\) −8.10103 + 9.65444i −0.524012 + 0.624494i −0.961525 0.274719i \(-0.911415\pi\)
0.437512 + 0.899212i \(0.355860\pi\)
\(240\) 1.23583 0.0247382i 0.0797724 0.00159685i
\(241\) −2.86347 + 7.86733i −0.184452 + 0.506779i −0.997111 0.0759616i \(-0.975797\pi\)
0.812658 + 0.582741i \(0.198020\pi\)
\(242\) 10.3283i 0.663925i
\(243\) 15.5105 1.55740i 0.994997 0.0999073i
\(244\) 6.10574i 0.390880i
\(245\) 1.85210 + 4.63952i 0.118326 + 0.296408i
\(246\) −0.214839 10.7325i −0.0136976 0.684281i
\(247\) 1.05201 + 0.882741i 0.0669378 + 0.0561675i
\(248\) 1.21780 6.90647i 0.0773302 0.438561i
\(249\) 12.4397 + 4.24771i 0.788333 + 0.269188i
\(250\) −4.35362 5.18844i −0.275347 0.328146i
\(251\) −4.26797 7.39234i −0.269392 0.466600i 0.699313 0.714815i \(-0.253489\pi\)
−0.968705 + 0.248215i \(0.920156\pi\)
\(252\) −2.95092 + 7.36831i −0.185891 + 0.464160i
\(253\) 3.13814 5.43541i 0.197293 0.341722i
\(254\) −10.4622 + 1.84476i −0.656455 + 0.115751i
\(255\) −0.0711493 0.0573144i −0.00445554 0.00358917i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) −11.0968 + 4.03892i −0.692202 + 0.251941i −0.664078 0.747663i \(-0.731176\pi\)
−0.0281243 + 0.999604i \(0.508953\pi\)
\(258\) 9.84625 + 1.53365i 0.613001 + 0.0954808i
\(259\) 5.92056 + 1.48924i 0.367886 + 0.0925366i
\(260\) 0.147827 + 0.0853481i 0.00916786 + 0.00529306i
\(261\) −2.66801 + 8.35671i −0.165145 + 0.517268i
\(262\) −9.02707 + 5.21178i −0.557695 + 0.321985i
\(263\) 7.34161 + 8.74939i 0.452703 + 0.539510i 0.943329 0.331860i \(-0.107676\pi\)
−0.490626 + 0.871370i \(0.663232\pi\)
\(264\) −1.06899 + 0.934076i −0.0657917 + 0.0574884i
\(265\) 5.12239 + 0.903215i 0.314666 + 0.0554841i
\(266\) 13.6671 6.63075i 0.837981 0.406557i
\(267\) 12.4170 + 20.5459i 0.759907 + 1.25739i
\(268\) 8.29797 + 3.02022i 0.506879 + 0.184489i
\(269\) −26.1787 −1.59614 −0.798070 0.602564i \(-0.794146\pi\)
−0.798070 + 0.602564i \(0.794146\pi\)
\(270\) −3.31690 1.65806i −0.201860 0.100906i
\(271\) 7.70233i 0.467883i 0.972251 + 0.233942i \(0.0751625\pi\)
−0.972251 + 0.233942i \(0.924838\pi\)
\(272\) 0.0694560 + 0.0252799i 0.00421139 + 0.00153282i
\(273\) −0.875062 + 0.660071i −0.0529612 + 0.0399493i
\(274\) 17.1377 + 14.3803i 1.03533 + 0.868743i
\(275\) 3.62467 + 0.639127i 0.218576 + 0.0385408i
\(276\) −13.0133 + 2.56415i −0.783312 + 0.154344i
\(277\) 0.563921 0.473186i 0.0338828 0.0284310i −0.625689 0.780073i \(-0.715182\pi\)
0.659572 + 0.751642i \(0.270738\pi\)
\(278\) 3.28714 + 5.69350i 0.197150 + 0.341474i
\(279\) −12.8678 + 16.6451i −0.770377 + 0.996518i
\(280\) 1.52984 1.10664i 0.0914253 0.0661346i
\(281\) 13.4012 2.36299i 0.799447 0.140964i 0.241023 0.970519i \(-0.422517\pi\)
0.558424 + 0.829555i \(0.311406\pi\)
\(282\) −2.42260 6.26310i −0.144264 0.372962i
\(283\) 0.443048 + 1.21727i 0.0263365 + 0.0723589i 0.952164 0.305587i \(-0.0988527\pi\)
−0.925828 + 0.377946i \(0.876630\pi\)
\(284\) 3.31228 + 9.10040i 0.196547 + 0.540009i
\(285\) 2.56028 + 6.61904i 0.151658 + 0.392078i
\(286\) −0.193060 + 0.0340417i −0.0114159 + 0.00201293i
\(287\) −9.61062 13.2858i −0.567297 0.784238i
\(288\) 2.97290 + 0.402294i 0.175180 + 0.0237054i
\(289\) 8.49727 + 14.7177i 0.499839 + 0.865747i
\(290\) 1.59856 1.34135i 0.0938709 0.0787670i
\(291\) 13.3407 2.62865i 0.782046 0.154094i
\(292\) 8.84851 + 1.56023i 0.517820 + 0.0913056i
\(293\) −10.0380 8.42287i −0.586426 0.492070i 0.300625 0.953743i \(-0.402805\pi\)
−0.887050 + 0.461673i \(0.847249\pi\)
\(294\) 2.70855 + 11.8179i 0.157966 + 0.689236i
\(295\) 2.97274 + 1.08199i 0.173080 + 0.0629959i
\(296\) 2.30747i 0.134119i
\(297\) 4.14213 0.989875i 0.240351 0.0574384i
\(298\) −7.84179 −0.454263
\(299\) −1.72117 0.626456i −0.0995380 0.0362289i
\(300\) −4.02310 6.65687i −0.232274 0.384335i
\(301\) 13.6951 6.64434i 0.789370 0.382973i
\(302\) −10.2098 1.80027i −0.587510 0.103594i
\(303\) 0.0715634 0.0625317i 0.00411121 0.00359235i
\(304\) −3.69058 4.39826i −0.211669 0.252257i
\(305\) −3.77358 + 2.17868i −0.216075 + 0.124751i
\(306\) −0.149216 0.164023i −0.00853010 0.00937658i
\(307\) 16.5535 + 9.55718i 0.944759 + 0.545457i 0.891449 0.453121i \(-0.149689\pi\)
0.0533103 + 0.998578i \(0.483023\pi\)
\(308\) −0.528969 + 2.10295i −0.0301408 + 0.119827i
\(309\) −0.542372 0.0844797i −0.0308545 0.00480588i
\(310\) 4.70300 1.71175i 0.267113 0.0972211i
\(311\) 9.36665 3.40918i 0.531134 0.193317i −0.0625106 0.998044i \(-0.519911\pi\)
0.593645 + 0.804727i \(0.297689\pi\)
\(312\) 0.322627 + 0.259893i 0.0182652 + 0.0147135i
\(313\) 22.1741 3.90989i 1.25335 0.221000i 0.492723 0.870186i \(-0.336002\pi\)
0.760629 + 0.649186i \(0.224891\pi\)
\(314\) 7.87057 13.6322i 0.444162 0.769311i
\(315\) −5.60686 + 0.805413i −0.315911 + 0.0453799i
\(316\) −5.59813 9.69625i −0.314920 0.545457i
\(317\) 8.08252 + 9.63237i 0.453959 + 0.541008i 0.943675 0.330875i \(-0.107344\pi\)
−0.489715 + 0.871882i \(0.662899\pi\)
\(318\) 11.9467 + 4.07938i 0.669939 + 0.228760i
\(319\) −0.416164 + 2.36018i −0.0233007 + 0.132145i
\(320\) −0.546687 0.458725i −0.0305607 0.0256435i
\(321\) −0.523255 26.1399i −0.0292053 1.45899i
\(322\) −14.1043 + 14.5449i −0.786003 + 0.810553i
\(323\) 0.424376i 0.0236129i
\(324\) −7.33497 5.21519i −0.407499 0.289733i
\(325\) 1.07412i 0.0595816i
\(326\) −3.57811 + 9.83076i −0.198173 + 0.544476i
\(327\) −14.6549 + 0.293354i −0.810416 + 0.0162225i
\(328\) −3.98378 + 4.74769i −0.219968 + 0.262147i
\(329\) −8.49217 5.75375i −0.468188 0.317214i
\(330\) −0.958737 0.327375i −0.0527767 0.0180214i
\(331\) −0.693576 + 0.581979i −0.0381224 + 0.0319885i −0.661650 0.749813i \(-0.730143\pi\)
0.623527 + 0.781801i \(0.285699\pi\)
\(332\) −3.79461 6.57246i −0.208256 0.360710i
\(333\) −3.21852 + 6.12869i −0.176374 + 0.335850i
\(334\) −11.9604 6.90531i −0.654441 0.377842i
\(335\) 1.09431 + 6.20615i 0.0597886 + 0.339078i
\(336\) 4.08210 2.08242i 0.222697 0.113605i
\(337\) −29.5441 + 10.7532i −1.60937 + 0.585763i −0.981315 0.192406i \(-0.938371\pi\)
−0.628055 + 0.778169i \(0.716149\pi\)
\(338\) −4.42669 12.1622i −0.240780 0.661539i
\(339\) 19.3514 + 3.01417i 1.05103 + 0.163707i
\(340\) 0.00915965 + 0.0519470i 0.000496752 + 0.00281722i
\(341\) −2.87394 + 4.97781i −0.155632 + 0.269563i
\(342\) 3.66745 + 16.8296i 0.198313 + 0.910040i
\(343\) 13.6857 + 12.4780i 0.738960 + 0.673750i
\(344\) −3.69814 4.40727i −0.199390 0.237624i
\(345\) −6.22822 7.12780i −0.335316 0.383748i
\(346\) −2.55993 0.451385i −0.137623 0.0242666i
\(347\) −23.8468 + 28.4195i −1.28016 + 1.52564i −0.569861 + 0.821741i \(0.693003\pi\)
−0.710301 + 0.703898i \(0.751441\pi\)
\(348\) 4.33458 2.61961i 0.232358 0.140426i
\(349\) −8.15926 + 22.4174i −0.436755 + 1.19997i 0.504836 + 0.863216i \(0.331553\pi\)
−0.941591 + 0.336759i \(0.890669\pi\)
\(350\) −10.8440 4.85510i −0.579638 0.259516i
\(351\) −0.494400 1.14029i −0.0263891 0.0608642i
\(352\) 0.819601 0.0436849
\(353\) 3.61926 + 1.31730i 0.192634 + 0.0701130i 0.436536 0.899687i \(-0.356205\pi\)
−0.243902 + 0.969800i \(0.578427\pi\)
\(354\) 6.72483 + 3.70515i 0.357421 + 0.196926i
\(355\) −4.44249 + 5.29436i −0.235783 + 0.280995i
\(356\) 2.40680 13.6496i 0.127560 0.723430i
\(357\) −0.330070 0.0760345i −0.0174692 0.00402417i
\(358\) −16.6215 + 13.9471i −0.878475 + 0.737128i
\(359\) 9.53093 5.50269i 0.503023 0.290421i −0.226938 0.973909i \(-0.572871\pi\)
0.729961 + 0.683489i \(0.239538\pi\)
\(360\) 0.812172 + 1.98092i 0.0428052 + 0.104403i
\(361\) 6.98251 12.0941i 0.367501 0.636530i
\(362\) −3.68198 20.8816i −0.193521 1.09751i
\(363\) −16.6844 + 6.45363i −0.875704 + 0.338727i
\(364\) 0.631197 + 0.0454557i 0.0330837 + 0.00238252i
\(365\) 2.19308 + 6.02544i 0.114791 + 0.315386i
\(366\) −9.86330 + 3.81518i −0.515563 + 0.199423i
\(367\) 33.4360 5.89567i 1.74535 0.307752i 0.792200 0.610262i \(-0.208936\pi\)
0.953146 + 0.302510i \(0.0978245\pi\)
\(368\) 6.63178 + 3.82886i 0.345706 + 0.199593i
\(369\) 17.2032 7.05329i 0.895564 0.367179i
\(370\) 1.42610 0.823362i 0.0741396 0.0428045i
\(371\) 18.5475 5.27672i 0.962937 0.273954i
\(372\) 11.9178 2.34827i 0.617907 0.121752i
\(373\) −2.61234 + 14.8153i −0.135262 + 0.767109i 0.839415 + 0.543491i \(0.182898\pi\)
−0.974677 + 0.223618i \(0.928213\pi\)
\(374\) −0.0464067 0.0389398i −0.00239963 0.00201353i
\(375\) 5.66112 10.2749i 0.292339 0.530594i
\(376\) −1.32604 + 3.64327i −0.0683854 + 0.187887i
\(377\) 0.699408 0.0360213
\(378\) −13.7468 0.162857i −0.707057 0.00837647i
\(379\) −11.8047 −0.606368 −0.303184 0.952932i \(-0.598050\pi\)
−0.303184 + 0.952932i \(0.598050\pi\)
\(380\) 1.40140 3.85032i 0.0718905 0.197517i
\(381\) −9.51736 15.7480i −0.487589 0.806796i
\(382\) −11.1481 9.35436i −0.570386 0.478611i
\(383\) −4.88799 + 27.7212i −0.249765 + 1.41649i 0.559397 + 0.828900i \(0.311033\pi\)
−0.809162 + 0.587586i \(0.800079\pi\)
\(384\) −1.13967 1.30428i −0.0581587 0.0665588i
\(385\) −1.48845 + 0.423462i −0.0758587 + 0.0215816i
\(386\) −15.9919 + 9.23296i −0.813969 + 0.469945i
\(387\) 3.67497 + 16.8641i 0.186809 + 0.857249i
\(388\) −6.79861 3.92518i −0.345147 0.199271i
\(389\) 4.65475 0.820757i 0.236005 0.0416141i −0.0543946 0.998520i \(-0.517323\pi\)
0.290400 + 0.956905i \(0.406212\pi\)
\(390\) −0.0455024 + 0.292132i −0.00230410 + 0.0147927i
\(391\) −0.193587 0.531875i −0.00979010 0.0268981i
\(392\) 3.31196 6.16692i 0.167279 0.311477i
\(393\) −14.0598 11.3259i −0.709221 0.571314i
\(394\) 0.471834 + 2.67590i 0.0237706 + 0.134810i
\(395\) 3.99510 6.91972i 0.201015 0.348169i
\(396\) −2.17688 1.14320i −0.109392 0.0574480i
\(397\) 3.06809 1.77137i 0.153983 0.0889023i −0.421029 0.907047i \(-0.638331\pi\)
0.575012 + 0.818145i \(0.304997\pi\)
\(398\) −13.2713 + 11.1359i −0.665230 + 0.558194i
\(399\) 19.2513 + 17.9347i 0.963770 + 0.897858i
\(400\) −0.779803 + 4.42248i −0.0389901 + 0.221124i
\(401\) −0.206155 + 0.245687i −0.0102949 + 0.0122690i −0.771167 0.636632i \(-0.780327\pi\)
0.760872 + 0.648901i \(0.224771\pi\)
\(402\) 0.306105 + 15.2918i 0.0152671 + 0.762688i
\(403\) 1.57627 + 0.573714i 0.0785195 + 0.0285787i
\(404\) −0.0548681 −0.00272979
\(405\) 0.605886 6.39420i 0.0301067 0.317730i
\(406\) 3.16137 7.06102i 0.156896 0.350433i
\(407\) −0.646830 + 1.77715i −0.0320622 + 0.0880901i
\(408\) 0.00256217 + 0.127996i 0.000126846 + 0.00633677i
\(409\) 4.43868 5.28982i 0.219479 0.261565i −0.645059 0.764133i \(-0.723167\pi\)
0.864537 + 0.502568i \(0.167612\pi\)
\(410\) −4.35576 0.768039i −0.215116 0.0379307i
\(411\) −12.5215 + 36.6700i −0.617641 + 1.80880i
\(412\) 0.203709 + 0.242770i 0.0100360 + 0.0119604i
\(413\) 11.6666 1.20171i 0.574076 0.0591321i
\(414\) −12.2736 19.4197i −0.603213 0.954427i
\(415\) 2.70802 4.69043i 0.132931 0.230244i
\(416\) −0.0415345 0.235554i −0.00203640 0.0115490i
\(417\) −7.14338 + 8.86769i −0.349813 + 0.434253i
\(418\) 1.60946 + 4.42196i 0.0787214 + 0.216285i
\(419\) 25.3783 9.23694i 1.23981 0.451254i 0.362864 0.931842i \(-0.381799\pi\)
0.876947 + 0.480588i \(0.159577\pi\)
\(420\) 2.74361 + 1.77983i 0.133874 + 0.0868470i
\(421\) −5.20249 29.5048i −0.253554 1.43798i −0.799757 0.600324i \(-0.795038\pi\)
0.546203 0.837653i \(-0.316073\pi\)
\(422\) −5.30695 3.06397i −0.258338 0.149152i
\(423\) 8.60372 7.82701i 0.418327 0.380562i
\(424\) −3.64423 6.31200i −0.176980 0.306538i
\(425\) 0.254269 0.213357i 0.0123338 0.0103493i
\(426\) −12.6312 + 11.0371i −0.611985 + 0.534749i
\(427\) −9.06116 + 13.3737i −0.438500 + 0.647199i
\(428\) −9.70280 + 11.5634i −0.469003 + 0.558936i
\(429\) −0.175626 0.290601i −0.00847928 0.0140304i
\(430\) 1.40427 3.85821i 0.0677201 0.186060i
\(431\) 1.91551i 0.0922669i −0.998935 0.0461335i \(-0.985310\pi\)
0.998935 0.0461335i \(-0.0146900\pi\)
\(432\) 1.20775 + 5.05384i 0.0581080 + 0.243153i
\(433\) 22.1219i 1.06311i −0.847023 0.531556i \(-0.821607\pi\)
0.847023 0.531556i \(-0.178393\pi\)
\(434\) 12.9169 13.3203i 0.620030 0.639396i
\(435\) 3.16571 + 1.74419i 0.151784 + 0.0836277i
\(436\) 6.48280 + 5.43971i 0.310470 + 0.260515i
\(437\) −7.63478 + 43.2990i −0.365221 + 2.07127i
\(438\) 3.00859 + 15.2689i 0.143756 + 0.729577i
\(439\) −14.1622 16.8779i −0.675927 0.805539i 0.313651 0.949538i \(-0.398448\pi\)
−0.989578 + 0.144000i \(0.954003\pi\)
\(440\) 0.292454 + 0.506545i 0.0139422 + 0.0241486i
\(441\) −17.3984 + 11.7599i −0.828496 + 0.559995i
\(442\) −0.00883961 + 0.0153107i −0.000420457 + 0.000728254i
\(443\) 23.9033 4.21480i 1.13568 0.200251i 0.425965 0.904740i \(-0.359935\pi\)
0.709715 + 0.704489i \(0.248824\pi\)
\(444\) 3.72752 1.44183i 0.176900 0.0684260i
\(445\) 9.29481 3.38303i 0.440616 0.160371i
\(446\) −25.4700 + 9.27031i −1.20604 + 0.438962i
\(447\) −4.89996 12.6677i −0.231760 0.599164i
\(448\) −2.56583 0.645398i −0.121224 0.0304922i
\(449\) 10.2866 + 5.93899i 0.485456 + 0.280278i 0.722687 0.691175i \(-0.242907\pi\)
−0.237232 + 0.971453i \(0.576240\pi\)
\(450\) 8.23977 10.6585i 0.388426 0.502448i
\(451\) 4.39907 2.53981i 0.207144 0.119595i
\(452\) −7.26817 8.66187i −0.341866 0.407420i
\(453\) −3.47145 17.6180i −0.163103 0.827766i
\(454\) −21.4405 3.78053i −1.00625 0.177429i
\(455\) 0.197133 + 0.406324i 0.00924175 + 0.0190487i
\(456\) 4.79894 8.71006i 0.224731 0.407886i
\(457\) −2.17260 0.790762i −0.101630 0.0369903i 0.290705 0.956813i \(-0.406110\pi\)
−0.392335 + 0.919823i \(0.628332\pi\)
\(458\) 27.4068 1.28064
\(459\) 0.171727 0.343535i 0.00801555 0.0160348i
\(460\) 5.46493i 0.254803i
\(461\) −20.9148 7.61235i −0.974098 0.354543i −0.194555 0.980892i \(-0.562326\pi\)
−0.779543 + 0.626349i \(0.784548\pi\)
\(462\) −3.72767 + 0.459530i −0.173427 + 0.0213793i
\(463\) −13.0142 10.9202i −0.604819 0.507504i 0.288171 0.957579i \(-0.406953\pi\)
−0.892991 + 0.450075i \(0.851397\pi\)
\(464\) −2.87967 0.507764i −0.133685 0.0235723i
\(465\) 5.70387 + 6.52770i 0.264511 + 0.302715i
\(466\) −4.44340 + 3.72846i −0.205837 + 0.172717i
\(467\) 15.9591 + 27.6420i 0.738499 + 1.27912i 0.953171 + 0.302432i \(0.0977986\pi\)
−0.214672 + 0.976686i \(0.568868\pi\)
\(468\) −0.218240 + 0.683571i −0.0100882 + 0.0315981i
\(469\) 13.6933 + 18.9298i 0.632299 + 0.874099i
\(470\) −2.72484 + 0.480463i −0.125688 + 0.0221621i
\(471\) 26.9396 + 4.19611i 1.24131 + 0.193346i
\(472\) −1.51614 4.16555i −0.0697859 0.191735i
\(473\) 1.61276 + 4.43102i 0.0741548 + 0.203739i
\(474\) 12.1655 15.1020i 0.558778 0.693659i
\(475\) −25.3918 + 4.47725i −1.16505 + 0.205430i
\(476\) 0.114616 + 0.158447i 0.00525344 + 0.00726242i
\(477\) 0.875032 + 21.8479i 0.0400650 + 1.00035i
\(478\) 6.30149 + 10.9145i 0.288223 + 0.499217i
\(479\) 13.2273 11.0990i 0.604369 0.507126i −0.288477 0.957487i \(-0.593149\pi\)
0.892847 + 0.450361i \(0.148705\pi\)
\(480\) 0.399432 1.16976i 0.0182315 0.0533920i
\(481\) 0.543534 + 0.0958397i 0.0247830 + 0.00436991i
\(482\) 6.41350 + 5.38157i 0.292127 + 0.245124i
\(483\) −32.3091 13.6959i −1.47011 0.623187i
\(484\) 9.70538 + 3.53247i 0.441154 + 0.160567i
\(485\) 5.60240i 0.254392i
\(486\) 3.84141 15.1077i 0.174250 0.685301i
\(487\) 8.94527 0.405349 0.202674 0.979246i \(-0.435037\pi\)
0.202674 + 0.979246i \(0.435037\pi\)
\(488\) 5.73752 + 2.08829i 0.259725 + 0.0945323i
\(489\) −18.1165 + 0.362648i −0.819258 + 0.0163995i
\(490\) 4.99318 0.153594i 0.225569 0.00693867i
\(491\) 9.64622 + 1.70089i 0.435328 + 0.0767601i 0.387018 0.922072i \(-0.373505\pi\)
0.0483103 + 0.998832i \(0.484616\pi\)
\(492\) −10.1588 3.46886i −0.457992 0.156388i
\(493\) 0.138926 + 0.165565i 0.00625690 + 0.00745669i
\(494\) 1.18931 0.686651i 0.0535098 0.0308939i
\(495\) −0.0702222 1.75332i −0.00315626 0.0788057i
\(496\) −6.07345 3.50651i −0.272706 0.157447i
\(497\) −6.25032 + 24.8486i −0.280365 + 1.11461i
\(498\) 8.24617 10.2367i 0.369520 0.458716i
\(499\) 10.4030 3.78638i 0.465702 0.169502i −0.0985026 0.995137i \(-0.531405\pi\)
0.564204 + 0.825635i \(0.309183\pi\)
\(500\) −6.36457 + 2.31651i −0.284632 + 0.103598i
\(501\) 3.68149 23.6357i 0.164477 1.05597i
\(502\) −8.40626 + 1.48225i −0.375190 + 0.0661561i
\(503\) −19.8286 + 34.3442i −0.884115 + 1.53133i −0.0373905 + 0.999301i \(0.511905\pi\)
−0.846725 + 0.532031i \(0.821429\pi\)
\(504\) 5.91468 + 5.29307i 0.263461 + 0.235772i
\(505\) −0.0195783 0.0339106i −0.000871223 0.00150900i
\(506\) −4.03431 4.80791i −0.179347 0.213738i
\(507\) 16.8810 14.7505i 0.749713 0.655094i
\(508\) −1.84476 + 10.4622i −0.0818481 + 0.464184i
\(509\) −7.57225 6.35387i −0.335634 0.281630i 0.459357 0.888252i \(-0.348080\pi\)
−0.794991 + 0.606621i \(0.792524\pi\)
\(510\) −0.0781924 + 0.0472558i −0.00346242 + 0.00209252i
\(511\) 17.0659 + 16.5490i 0.754950 + 0.732084i
\(512\) 1.00000i 0.0441942i
\(513\) −24.8951 + 16.4404i −1.09915 + 0.725863i
\(514\) 11.8090i 0.520873i
\(515\) −0.0773532 + 0.212526i −0.00340859 + 0.00936502i
\(516\) 4.80877 8.72791i 0.211694 0.384225i
\(517\) 2.04256 2.43423i 0.0898318 0.107057i
\(518\) 3.42438 5.05416i 0.150458 0.222067i
\(519\) −0.870404 4.41740i −0.0382065 0.193902i
\(520\) 0.130761 0.109721i 0.00573424 0.00481160i
\(521\) −2.28179 3.95218i −0.0999671 0.173148i 0.811704 0.584069i \(-0.198540\pi\)
−0.911671 + 0.410921i \(0.865207\pi\)
\(522\) 6.94023 + 5.36527i 0.303766 + 0.234832i
\(523\) −21.2075 12.2442i −0.927341 0.535400i −0.0413711 0.999144i \(-0.513173\pi\)
−0.885969 + 0.463744i \(0.846506\pi\)
\(524\) 1.81003 + 10.2652i 0.0790717 + 0.448438i
\(525\) 1.06708 20.5513i 0.0465711 0.896933i
\(526\) 10.7327 3.90639i 0.467968 0.170327i
\(527\) 0.177289 + 0.487096i 0.00772281 + 0.0212182i
\(528\) 0.512129 + 1.32399i 0.0222875 + 0.0576195i
\(529\) −6.18894 35.0992i −0.269084 1.52605i
\(530\) 2.60070 4.50455i 0.112967 0.195665i
\(531\) −1.78333 + 13.1786i −0.0773897 + 0.571901i
\(532\) −1.55646 15.1107i −0.0674811 0.655131i
\(533\) −0.952873 1.13559i −0.0412735 0.0491878i
\(534\) 23.5537 4.64102i 1.01927 0.200837i
\(535\) −10.6088 1.87062i −0.458658 0.0808738i
\(536\) 5.67615 6.76457i 0.245172 0.292185i
\(537\) −32.9164 18.1358i −1.42045 0.782616i
\(538\) −8.95363 + 24.5999i −0.386018 + 1.06058i
\(539\) −4.27949 + 3.82119i −0.184331 + 0.164590i
\(540\) −2.69251 + 2.54977i −0.115867 + 0.109725i
\(541\) 17.0052 0.731111 0.365556 0.930789i \(-0.380879\pi\)
0.365556 + 0.930789i \(0.380879\pi\)
\(542\) 7.23783 + 2.63435i 0.310891 + 0.113155i
\(543\) 31.4316 18.9958i 1.34886 0.815187i
\(544\) 0.0475107 0.0566211i 0.00203701 0.00242761i
\(545\) −1.04873 + 5.94764i −0.0449226 + 0.254769i
\(546\) 0.320975 + 1.04805i 0.0137364 + 0.0448523i
\(547\) −21.5758 + 18.1043i −0.922516 + 0.774083i −0.974459 0.224567i \(-0.927903\pi\)
0.0519427 + 0.998650i \(0.483459\pi\)
\(548\) 19.3745 11.1859i 0.827636 0.477836i
\(549\) −12.3262 13.5494i −0.526069 0.578274i
\(550\) 1.84029 3.18748i 0.0784704 0.135915i
\(551\) −2.91533 16.5337i −0.124197 0.704358i
\(552\) −2.04131 + 13.1055i −0.0868841 + 0.557809i
\(553\) 2.12776 29.5460i 0.0904815 1.25642i
\(554\) −0.251777 0.691752i −0.0106970 0.0293897i
\(555\) 2.22117 + 1.78927i 0.0942835 + 0.0759502i
\(556\) 6.47441 1.14161i 0.274576 0.0484152i
\(557\) 37.5810 + 21.6974i 1.59236 + 0.919348i 0.992901 + 0.118940i \(0.0379497\pi\)
0.599456 + 0.800408i \(0.295384\pi\)
\(558\) 11.2403 + 17.7848i 0.475838 + 0.752890i
\(559\) 1.19175 0.688058i 0.0504057 0.0291017i
\(560\) −0.516669 1.81607i −0.0218333 0.0767431i
\(561\) 0.0339066 0.0992976i 0.00143154 0.00419235i
\(562\) 2.36299 13.4012i 0.0996767 0.565294i
\(563\) 35.3193 + 29.6364i 1.48853 + 1.24903i 0.896447 + 0.443151i \(0.146139\pi\)
0.592084 + 0.805876i \(0.298305\pi\)
\(564\) −6.71396 + 0.134397i −0.282709 + 0.00565913i
\(565\) 2.75991 7.58278i 0.116110 0.319010i
\(566\) 1.29539 0.0544492
\(567\) −8.32660 22.3085i −0.349684 0.936868i
\(568\) 9.68444 0.406350
\(569\) 11.2987 31.0430i 0.473668 1.30139i −0.441116 0.897450i \(-0.645417\pi\)
0.914784 0.403942i \(-0.132360\pi\)
\(570\) 7.09553 0.142035i 0.297199 0.00594919i
\(571\) −3.96665 3.32841i −0.165999 0.139290i 0.556004 0.831180i \(-0.312334\pi\)
−0.722003 + 0.691890i \(0.756778\pi\)
\(572\) −0.0340417 + 0.193060i −0.00142336 + 0.00807226i
\(573\) 8.14526 23.8539i 0.340273 0.996510i
\(574\) −15.7716 + 4.48700i −0.658295 + 0.187284i
\(575\) 29.7814 17.1943i 1.24197 0.717051i
\(576\) 1.39483 2.65602i 0.0581177 0.110668i
\(577\) −1.29258 0.746272i −0.0538108 0.0310677i 0.472853 0.881141i \(-0.343224\pi\)
−0.526664 + 0.850074i \(0.676557\pi\)
\(578\) 16.7364 2.95107i 0.696140 0.122748i
\(579\) −24.9076 20.0644i −1.03513 0.833847i
\(580\) −0.713720 1.96093i −0.0296356 0.0814231i
\(581\) 1.44227 20.0273i 0.0598354 0.830873i
\(582\) 2.09267 13.4352i 0.0867438 0.556908i
\(583\) 1.03731 + 5.88288i 0.0429610 + 0.243644i
\(584\) 4.49250 7.78125i 0.185901 0.321990i
\(585\) −0.500346 + 0.109034i −0.0206868 + 0.00450800i
\(586\) −11.3481 + 6.55183i −0.468786 + 0.270654i
\(587\) −26.1893 + 21.9755i −1.08095 + 0.907024i −0.995999 0.0893612i \(-0.971517\pi\)
−0.0849499 + 0.996385i \(0.527073\pi\)
\(588\) 12.0316 + 1.49677i 0.496175 + 0.0617256i
\(589\) 6.99201 39.6536i 0.288101 1.63390i
\(590\) 2.03348 2.42340i 0.0837169 0.0997699i
\(591\) −4.02786 + 2.43425i −0.165684 + 0.100132i
\(592\) −2.16831 0.789201i −0.0891171 0.0324360i
\(593\) 31.6997 1.30175 0.650876 0.759184i \(-0.274402\pi\)
0.650876 + 0.759184i \(0.274402\pi\)
\(594\) 0.486515 4.23089i 0.0199620 0.173596i
\(595\) −0.0570285 + 0.127375i −0.00233794 + 0.00522188i
\(596\) −2.68205 + 7.36888i −0.109861 + 0.301841i
\(597\) −26.2817 14.4803i −1.07564 0.592640i
\(598\) −1.17735 + 1.40311i −0.0481455 + 0.0573776i
\(599\) −19.6331 3.46185i −0.802189 0.141448i −0.242501 0.970151i \(-0.577968\pi\)
−0.559688 + 0.828704i \(0.689079\pi\)
\(600\) −7.63140 + 1.50369i −0.311550 + 0.0613879i
\(601\) −12.6992 15.1343i −0.518011 0.617341i 0.442099 0.896966i \(-0.354234\pi\)
−0.960109 + 0.279626i \(0.909790\pi\)
\(602\) −1.55965 15.1416i −0.0635665 0.617127i
\(603\) −24.5114 + 10.0496i −0.998181 + 0.409252i
\(604\) −5.18367 + 8.97837i −0.210920 + 0.365325i
\(605\) 1.27992 + 7.25877i 0.0520360 + 0.295111i
\(606\) −0.0342844 0.0886347i −0.00139271 0.00360054i
\(607\) 1.55253 + 4.26554i 0.0630153 + 0.173133i 0.967204 0.253999i \(-0.0817461\pi\)
−0.904189 + 0.427132i \(0.859524\pi\)
\(608\) −5.39526 + 1.96371i −0.218807 + 0.0796391i
\(609\) 13.3819 + 0.694822i 0.542260 + 0.0281556i
\(610\) 0.756647 + 4.29116i 0.0306357 + 0.173744i
\(611\) −0.803110 0.463676i −0.0324904 0.0187583i
\(612\) −0.205166 + 0.0841177i −0.00829335 + 0.00340026i
\(613\) 2.33673 + 4.04733i 0.0943795 + 0.163470i 0.909349 0.416033i \(-0.136580\pi\)
−0.814970 + 0.579503i \(0.803247\pi\)
\(614\) 14.6424 12.2865i 0.590921 0.495842i
\(615\) −1.48101 7.51627i −0.0597199 0.303085i
\(616\) 1.79521 + 1.21632i 0.0723311 + 0.0490069i
\(617\) 6.17344 7.35722i 0.248533 0.296190i −0.627326 0.778757i \(-0.715851\pi\)
0.875860 + 0.482566i \(0.160295\pi\)
\(618\) −0.264887 + 0.480769i −0.0106553 + 0.0193394i
\(619\) −3.76559 + 10.3459i −0.151352 + 0.415836i −0.992078 0.125625i \(-0.959906\pi\)
0.840726 + 0.541461i \(0.182129\pi\)
\(620\) 5.00483i 0.200999i
\(621\) 23.7017 31.9613i 0.951117 1.28256i
\(622\) 9.96778i 0.399672i
\(623\) 25.5284 26.3257i 1.02277 1.05472i
\(624\) 0.354564 0.214282i 0.0141939 0.00857814i
\(625\) 13.4977 + 11.3259i 0.539907 + 0.453036i
\(626\) 3.90989 22.1741i 0.156270 0.886254i
\(627\) −6.13762 + 5.36302i −0.245113 + 0.214178i
\(628\) −10.1182 12.0584i −0.403761 0.481183i
\(629\) 0.0852766 + 0.147703i 0.00340020 + 0.00588932i
\(630\) −1.16082 + 5.54419i −0.0462481 + 0.220886i
\(631\) −17.8735 + 30.9578i −0.711532 + 1.23241i 0.252749 + 0.967532i \(0.418665\pi\)
−0.964282 + 0.264879i \(0.914668\pi\)
\(632\) −11.0262 + 1.94421i −0.438597 + 0.0773366i
\(633\) 1.63352 10.4874i 0.0649267 0.416839i
\(634\) 11.8158 4.30062i 0.469267 0.170799i
\(635\) −7.12428 + 2.59303i −0.282718 + 0.102901i
\(636\) 7.91938 9.83101i 0.314024 0.389825i
\(637\) 1.31508 + 1.03629i 0.0521055 + 0.0410591i
\(638\) 2.07551 + 1.19830i 0.0821702 + 0.0474410i
\(639\) −25.7221 13.5081i −1.01755 0.534373i
\(640\) −0.618038 + 0.356825i −0.0244301 + 0.0141047i
\(641\) −14.8782 17.7311i −0.587652 0.700336i 0.387501 0.921869i \(-0.373338\pi\)
−0.975153 + 0.221533i \(0.928894\pi\)
\(642\) −24.7424 8.44866i −0.976505 0.333442i
\(643\) −27.4072 4.83262i −1.08083 0.190580i −0.395249 0.918574i \(-0.629342\pi\)
−0.685584 + 0.727994i \(0.740453\pi\)
\(644\) 8.84373 + 18.2284i 0.348492 + 0.718298i
\(645\) 7.11007 0.142326i 0.279959 0.00560408i
\(646\) 0.398783 + 0.145145i 0.0156899 + 0.00571066i
\(647\) 10.9868 0.431937 0.215969 0.976400i \(-0.430709\pi\)
0.215969 + 0.976400i \(0.430709\pi\)
\(648\) −7.40938 + 5.10892i −0.291068 + 0.200697i
\(649\) 3.63320i 0.142616i
\(650\) −1.00934 0.367371i −0.0395898 0.0144095i
\(651\) 29.5890 + 12.5429i 1.15968 + 0.491594i
\(652\) 8.01411 + 6.72464i 0.313857 + 0.263357i
\(653\) −1.42017 0.250414i −0.0555754 0.00979944i 0.145791 0.989315i \(-0.453427\pi\)
−0.201367 + 0.979516i \(0.564538\pi\)
\(654\) −4.73660 + 13.8714i −0.185216 + 0.542415i
\(655\) −5.69843 + 4.78155i −0.222656 + 0.186831i
\(656\) 3.09883 + 5.36734i 0.120989 + 0.209559i
\(657\) −22.7857 + 14.4009i −0.888954 + 0.561833i
\(658\) −8.31125 + 6.01213i −0.324006 + 0.234377i
\(659\) 16.3653 2.88565i 0.637503 0.112409i 0.154451 0.988000i \(-0.450639\pi\)
0.483053 + 0.875591i \(0.339528\pi\)
\(660\) −0.635539 + 0.788949i −0.0247383 + 0.0307098i
\(661\) 9.35300 + 25.6972i 0.363790 + 0.999504i 0.977678 + 0.210111i \(0.0673824\pi\)
−0.613888 + 0.789393i \(0.710395\pi\)
\(662\) 0.309665 + 0.850797i 0.0120355 + 0.0330672i
\(663\) −0.0302565 0.00471274i −0.00117506 0.000183028i
\(664\) −7.47392 + 1.31785i −0.290044 + 0.0511427i
\(665\) 8.78359 6.35381i 0.340613 0.246390i
\(666\) 4.65829 + 5.12055i 0.180505 + 0.198417i
\(667\) 11.1959 + 19.3920i 0.433509 + 0.750859i
\(668\) −10.5796 + 8.87730i −0.409335 + 0.343473i
\(669\) −30.8903 35.3520i −1.19429 1.36679i
\(670\) 6.20615 + 1.09431i 0.239765 + 0.0422770i
\(671\) −3.83349 3.21668i −0.147990 0.124179i
\(672\) −0.560676 4.54815i −0.0216285 0.175449i
\(673\) −38.6342 14.0617i −1.48924 0.542039i −0.535990 0.844224i \(-0.680062\pi\)
−0.953249 + 0.302185i \(0.902284\pi\)
\(674\) 31.4402i 1.21103i
\(675\) 22.3666 + 6.65063i 0.860889 + 0.255983i
\(676\) −12.9428 −0.497800
\(677\) −27.3038 9.93776i −1.04937 0.381939i −0.240945 0.970539i \(-0.577457\pi\)
−0.808425 + 0.588600i \(0.799679\pi\)
\(678\) 9.45098 17.1535i 0.362963 0.658776i
\(679\) −9.06620 18.6869i −0.347929 0.717138i
\(680\) 0.0519470 + 0.00915965i 0.00199208 + 0.000351257i
\(681\) −7.28999 36.9975i −0.279353 1.41775i
\(682\) 3.69466 + 4.40313i 0.141476 + 0.168604i
\(683\) −37.2297 + 21.4946i −1.42456 + 0.822468i −0.996684 0.0813720i \(-0.974070\pi\)
−0.427872 + 0.903839i \(0.640736\pi\)
\(684\) 17.0690 + 2.30978i 0.652649 + 0.0883166i
\(685\) 13.8266 + 7.98277i 0.528286 + 0.305006i
\(686\) 16.4063 8.59264i 0.626395 0.328068i
\(687\) 17.1252 + 44.2733i 0.653366 + 1.68913i
\(688\) −5.40632 + 1.96774i −0.206114 + 0.0750193i
\(689\) 1.63818 0.596248i 0.0624096 0.0227153i
\(690\) −8.82811 + 3.41477i −0.336081 + 0.129998i
\(691\) 40.8113 7.19613i 1.55253 0.273754i 0.669410 0.742893i \(-0.266547\pi\)
0.883124 + 0.469140i \(0.155436\pi\)
\(692\) −1.29971 + 2.25117i −0.0494077 + 0.0855766i
\(693\) −3.07157 5.73458i −0.116679 0.217839i
\(694\) 18.5495 + 32.1287i 0.704130 + 1.21959i
\(695\) 3.01579 + 3.59408i 0.114395 + 0.136331i
\(696\) −0.979118 4.96914i −0.0371134 0.188355i
\(697\) 0.0795468 0.451132i 0.00301305 0.0170878i
\(698\) 18.2748 + 15.3344i 0.691712 + 0.580415i
\(699\) −8.79947 4.84820i −0.332826 0.183376i
\(700\) −8.27118 + 8.52952i −0.312621 + 0.322385i
\(701\) 3.87397i 0.146318i −0.997320 0.0731588i \(-0.976692\pi\)
0.997320 0.0731588i \(-0.0233080\pi\)
\(702\) −1.24062 + 0.0745819i −0.0468241 + 0.00281491i
\(703\) 13.2484i 0.499672i
\(704\) 0.280320 0.770173i 0.0105650 0.0290270i
\(705\) −2.47877 4.10153i −0.0933559 0.154473i
\(706\) 2.47572 2.95045i 0.0931750 0.111042i
\(707\) −0.120180 0.0814265i −0.00451985 0.00306236i
\(708\) 5.78173 5.05204i 0.217291 0.189867i
\(709\) −2.99010 + 2.50900i −0.112296 + 0.0942273i −0.697207 0.716870i \(-0.745574\pi\)
0.584911 + 0.811098i \(0.301130\pi\)
\(710\) 3.45565 + 5.98536i 0.129688 + 0.224626i
\(711\) 31.9976 + 10.2157i 1.20000 + 0.383119i
\(712\) −12.0033 6.93011i −0.449843 0.259717i
\(713\) 9.32555 + 52.8878i 0.349245 + 1.98067i
\(714\) −0.184340 + 0.284159i −0.00689874 + 0.0106344i
\(715\) −0.131466 + 0.0478496i −0.00491653 + 0.00178947i
\(716\) 7.42111 + 20.3893i 0.277340 + 0.761985i
\(717\) −13.6939 + 16.9994i −0.511409 + 0.634856i
\(718\) −1.91106 10.8382i −0.0713202 0.404477i
\(719\) 15.2739 26.4552i 0.569620 0.986611i −0.426983 0.904260i \(-0.640424\pi\)
0.996603 0.0823517i \(-0.0262431\pi\)
\(720\) 2.13923 0.0856786i 0.0797245 0.00319305i
\(721\) 0.0859118 + 0.834063i 0.00319952 + 0.0310621i
\(722\) −8.97654 10.6978i −0.334072 0.398132i
\(723\) −4.68597 + 13.7231i −0.174273 + 0.510369i
\(724\) −20.8816 3.68198i −0.776057 0.136840i
\(725\) −8.44060 + 10.0591i −0.313476 + 0.373586i
\(726\) 0.358023 + 17.8855i 0.0132875 + 0.663792i
\(727\) −16.7519 + 46.0255i −0.621294 + 1.70699i 0.0825047 + 0.996591i \(0.473708\pi\)
−0.703798 + 0.710400i \(0.748514\pi\)
\(728\) 0.258596 0.577584i 0.00958422 0.0214067i
\(729\) 26.8055 3.23462i 0.992798 0.119801i
\(730\) 6.41214 0.237324
\(731\) 0.399600 + 0.145443i 0.0147797 + 0.00537939i
\(732\) 0.211652 + 10.5733i 0.00782288 + 0.390802i
\(733\) −26.5127 + 31.5966i −0.979267 + 1.16705i 0.00667803 + 0.999978i \(0.497874\pi\)
−0.985945 + 0.167068i \(0.946570\pi\)
\(734\) 5.89567 33.4360i 0.217613 1.23415i
\(735\) 3.36811 + 7.97008i 0.124235 + 0.293981i
\(736\) 5.86616 4.92229i 0.216229 0.181438i
\(737\) −6.26786 + 3.61875i −0.230880 + 0.133298i
\(738\) −0.744073 18.5781i −0.0273897 0.683870i
\(739\) −26.6979 + 46.2421i −0.982099 + 1.70104i −0.327918 + 0.944706i \(0.606347\pi\)
−0.654181 + 0.756338i \(0.726986\pi\)
\(740\) −0.285951 1.62171i −0.0105117 0.0596151i
\(741\) 1.85237 + 1.49218i 0.0680485 + 0.0548166i
\(742\) 1.38511 19.2337i 0.0508491 0.706090i
\(743\) −7.47608 20.5404i −0.274271 0.753553i −0.997985 0.0634528i \(-0.979789\pi\)
0.723714 0.690100i \(-0.242433\pi\)
\(744\) 1.86946 12.0022i 0.0685376 0.440021i
\(745\) −5.51127 + 0.971785i −0.201917 + 0.0356035i
\(746\) 13.0284 + 7.52194i 0.477003 + 0.275398i
\(747\) 21.6891 + 6.92457i 0.793562 + 0.253357i
\(748\) −0.0524635 + 0.0302898i −0.00191826 + 0.00110751i
\(749\) −38.4130 + 10.9284i −1.40358 + 0.399316i
\(750\) −7.71904 8.83393i −0.281859 0.322570i
\(751\) 7.80956 44.2902i 0.284975 1.61617i −0.420400 0.907339i \(-0.638110\pi\)
0.705375 0.708834i \(-0.250779\pi\)
\(752\) 2.97002 + 2.49214i 0.108305 + 0.0908791i
\(753\) −7.64711 12.6534i −0.278676 0.461115i
\(754\) 0.239212 0.657228i 0.00871157 0.0239348i
\(755\) −7.39864 −0.269264
\(756\) −4.85471 + 12.8620i −0.176564 + 0.467788i
\(757\) 18.5639 0.674716 0.337358 0.941376i \(-0.390467\pi\)
0.337358 + 0.941376i \(0.390467\pi\)
\(758\) −4.03745 + 11.0928i −0.146647 + 0.402909i
\(759\) 5.24591 9.52131i 0.190414 0.345602i
\(760\) −3.13881 2.63378i −0.113857 0.0955371i
\(761\) −2.63205 + 14.9271i −0.0954119 + 0.541108i 0.899208 + 0.437520i \(0.144143\pi\)
−0.994620 + 0.103587i \(0.966968\pi\)
\(762\) −18.0534 + 3.55725i −0.654007 + 0.128866i
\(763\) 6.12684 + 21.5356i 0.221806 + 0.779641i
\(764\) −12.6031 + 7.27640i −0.455964 + 0.263251i
\(765\) −0.125196 0.0967852i −0.00452648 0.00349928i
\(766\) 24.3776 + 14.0744i 0.880798 + 0.508529i
\(767\) 1.04419 0.184118i 0.0377033 0.00664812i
\(768\) −1.61541 + 0.624852i −0.0582912 + 0.0225474i
\(769\) −1.90231 5.22656i −0.0685992 0.188475i 0.900656 0.434533i \(-0.143087\pi\)
−0.969255 + 0.246059i \(0.920864\pi\)
\(770\) −0.111157 + 1.54352i −0.00400581 + 0.0556247i
\(771\) −19.0764 + 7.37888i −0.687021 + 0.265744i
\(772\) 3.20657 + 18.1854i 0.115407 + 0.654506i
\(773\) −16.8074 + 29.1112i −0.604519 + 1.04706i 0.387608 + 0.921824i \(0.373301\pi\)
−0.992127 + 0.125234i \(0.960032\pi\)
\(774\) 17.1040 + 2.31451i 0.614789 + 0.0831934i
\(775\) −27.2741 + 15.7467i −0.979714 + 0.565638i
\(776\) −6.01372 + 5.04611i −0.215880 + 0.181145i
\(777\) 10.3043 + 2.37368i 0.369664 + 0.0851554i
\(778\) 0.820757 4.65475i 0.0294256 0.166881i
\(779\) −22.8730 + 27.2589i −0.819509 + 0.976653i
\(780\) 0.258952 + 0.142673i 0.00927195 + 0.00510852i
\(781\) −7.45870 2.71474i −0.266893 0.0971412i
\(782\) −0.566009 −0.0202405
\(783\) −4.33052 + 14.5638i −0.154760 + 0.520469i
\(784\) −4.66226 5.22143i −0.166509 0.186480i
\(785\) 3.84214 10.5562i 0.137132 0.376766i
\(786\) −15.4516 + 9.33819i −0.551139 + 0.333082i
\(787\) 32.0512 38.1971i 1.14250 1.36158i 0.220038 0.975491i \(-0.429382\pi\)
0.922462 0.386088i \(-0.126174\pi\)
\(788\) 2.67590 + 0.471834i 0.0953251 + 0.0168084i
\(789\) 13.0168 + 14.8969i 0.463410 + 0.530342i
\(790\) −5.13600 6.12085i −0.182731 0.217770i
\(791\) −3.06527 29.7588i −0.108989 1.05810i
\(792\) −1.81879 + 1.65460i −0.0646280 + 0.0587936i
\(793\) −0.730210 + 1.26476i −0.0259305 + 0.0449130i
\(794\) −0.615189 3.48891i −0.0218322 0.123817i
\(795\) 8.90177 + 1.38654i 0.315713 + 0.0491754i
\(796\) 5.92531 + 16.2797i 0.210017 + 0.577017i
\(797\) 15.5955 5.67629i 0.552420 0.201064i −0.0507014 0.998714i \(-0.516146\pi\)
0.603121 + 0.797649i \(0.293923\pi\)
\(798\) 23.4374 11.9563i 0.829676 0.423247i
\(799\) −0.0497622 0.282216i −0.00176046 0.00998407i
\(800\) 3.88906 + 2.24535i 0.137499 + 0.0793852i
\(801\) 22.2147 + 35.1490i 0.784920 + 1.24193i
\(802\) 0.160360 + 0.277753i 0.00566253 + 0.00980778i
\(803\) −5.64124 + 4.73357i −0.199075 + 0.167044i
\(804\) 14.4743 + 4.94247i 0.510470 + 0.174308i
\(805\) −8.11017 + 11.9701i −0.285846 + 0.421890i
\(806\) 1.07823 1.28498i 0.0379790 0.0452617i
\(807\) −45.3337 + 0.907468i −1.59582 + 0.0319444i
\(808\) −0.0187660 + 0.0515592i −0.000660186 + 0.00181385i
\(809\) 14.7416i 0.518286i 0.965839 + 0.259143i \(0.0834400\pi\)
−0.965839 + 0.259143i \(0.916560\pi\)
\(810\) −5.80136 2.75629i −0.203839 0.0968462i
\(811\) 11.8794i 0.417141i 0.978007 + 0.208570i \(0.0668811\pi\)
−0.978007 + 0.208570i \(0.933119\pi\)
\(812\) −5.55394 5.38572i −0.194905 0.189002i
\(813\) 0.266997 + 13.3382i 0.00936399 + 0.467790i
\(814\) 1.44875 + 1.21564i 0.0507785 + 0.0426082i
\(815\) −1.29645 + 7.35254i −0.0454127 + 0.257548i
\(816\) 0.121154 + 0.0413697i 0.00424122 + 0.00144823i
\(817\) −21.2329 25.3044i −0.742846 0.885289i
\(818\) −3.45268 5.98022i −0.120720 0.209094i
\(819\) −1.49247 + 1.17338i −0.0521510 + 0.0410012i
\(820\) −2.21148 + 3.83040i −0.0772282 + 0.133763i
\(821\) −50.6816 + 8.93654i −1.76880 + 0.311887i −0.960789 0.277280i \(-0.910567\pi\)
−0.808011 + 0.589167i \(0.799456\pi\)
\(822\) 30.1759 + 24.3083i 1.05251 + 0.847848i
\(823\) 46.5180 16.9312i 1.62152 0.590183i 0.637846 0.770164i \(-0.279826\pi\)
0.983670 + 0.179981i \(0.0576035\pi\)
\(824\) 0.297802 0.108391i 0.0103744 0.00377598i
\(825\) 6.29901 + 0.981132i 0.219303 + 0.0341586i
\(826\) 2.86098 11.3740i 0.0995461 0.395753i
\(827\) 10.6347 + 6.13993i 0.369804 + 0.213506i 0.673373 0.739303i \(-0.264845\pi\)
−0.303569 + 0.952809i \(0.598178\pi\)
\(828\) −22.4464 + 4.89145i −0.780066 + 0.169990i
\(829\) −14.1401 + 8.16379i −0.491106 + 0.283540i −0.725033 0.688714i \(-0.758176\pi\)
0.233927 + 0.972254i \(0.424842\pi\)
\(830\) −3.48136 4.14893i −0.120840 0.144011i
\(831\) 0.960142 0.838966i 0.0333070 0.0291034i
\(832\) −0.235554 0.0415345i −0.00816637 0.00143995i
\(833\) 0.0159079 + 0.517150i 0.000551177 + 0.0179182i
\(834\) 5.88972 + 9.74551i 0.203944 + 0.337459i
\(835\) −9.26155 3.37093i −0.320509 0.116656i
\(836\) 4.70575 0.162752
\(837\) −21.7063 + 29.2705i −0.750278 + 1.01174i
\(838\) 27.0070i 0.932942i
\(839\) −1.76407 0.642068i −0.0609023 0.0221666i 0.311389 0.950282i \(-0.399206\pi\)
−0.372292 + 0.928116i \(0.621428\pi\)
\(840\) 2.61087 1.96941i 0.0900834 0.0679511i
\(841\) 15.6654 + 13.1448i 0.540185 + 0.453269i
\(842\) −29.5048 5.20249i −1.01680 0.179290i
\(843\) 23.1250 4.55654i 0.796466 0.156936i
\(844\) −4.69428 + 3.93896i −0.161584 + 0.135585i
\(845\) −4.61830 7.99914i −0.158875 0.275179i
\(846\) −4.41234 10.7618i −0.151699 0.370000i
\(847\) 16.0158 + 22.1405i 0.550311 + 0.760757i
\(848\) −7.17774 + 1.26563i −0.246485 + 0.0434619i
\(849\) 0.809424 + 2.09259i 0.0277794 + 0.0718173i
\(850\) −0.113525 0.311906i −0.00389386 0.0106983i
\(851\) 6.04348 + 16.6043i 0.207168 + 0.569189i
\(852\) 6.05134 + 15.6444i 0.207315 + 0.535968i
\(853\) −5.06762 + 0.893558i −0.173512 + 0.0305949i −0.259729 0.965682i \(-0.583633\pi\)
0.0862170 + 0.996276i \(0.472522\pi\)
\(854\) 9.46807 + 13.0888i 0.323991 + 0.447889i
\(855\) 4.66310 + 11.3735i 0.159475 + 0.388964i
\(856\) 7.54744 + 13.0726i 0.257966 + 0.446811i
\(857\) 40.8635 34.2885i 1.39587 1.17127i 0.432973 0.901407i \(-0.357464\pi\)
0.962897 0.269868i \(-0.0869800\pi\)
\(858\) −0.333143 + 0.0656425i −0.0113733 + 0.00224100i
\(859\) 3.96424 + 0.699003i 0.135258 + 0.0238497i 0.240867 0.970558i \(-0.422568\pi\)
−0.105609 + 0.994408i \(0.533679\pi\)
\(860\) −3.14524 2.63917i −0.107252 0.0899950i
\(861\) −17.1033 22.6740i −0.582878 0.772728i
\(862\) −1.79999 0.655143i −0.0613080 0.0223143i
\(863\) 22.4636i 0.764669i 0.924024 + 0.382335i \(0.124880\pi\)
−0.924024 + 0.382335i \(0.875120\pi\)
\(864\) 5.16214 + 0.593600i 0.175619 + 0.0201947i
\(865\) −1.85508 −0.0630745
\(866\) −20.7878 7.56615i −0.706399 0.257108i
\(867\) 15.2249 + 25.1921i 0.517066 + 0.855570i
\(868\) −8.09918 16.6937i −0.274904 0.566622i
\(869\) 9.03706 + 1.59348i 0.306561 + 0.0540550i
\(870\) 2.72174 2.37824i 0.0922757 0.0806300i
\(871\) 1.35767 + 1.61800i 0.0460027 + 0.0548239i
\(872\) 7.32891 4.23135i 0.248188 0.143291i
\(873\) 23.0110 5.01450i 0.778806 0.169715i
\(874\) 38.0765 + 21.9835i 1.28796 + 0.743602i
\(875\) −17.3784 4.37130i −0.587498 0.147777i
\(876\) 15.3771 + 2.39513i 0.519543 + 0.0809239i
\(877\) 19.3310 7.03589i 0.652760 0.237585i 0.00565254 0.999984i \(-0.498201\pi\)
0.647107 + 0.762399i \(0.275979\pi\)
\(878\) −20.7038 + 7.53557i −0.698720 + 0.254313i
\(879\) −17.6748 14.2380i −0.596156 0.480235i
\(880\) 0.576021 0.101568i 0.0194177 0.00342386i
\(881\) 23.3665 40.4720i 0.787238 1.36354i −0.140415 0.990093i \(-0.544844\pi\)
0.927653 0.373443i \(-0.121823\pi\)
\(882\) 5.10007 + 20.3713i 0.171728 + 0.685937i
\(883\) −13.5242 23.4246i −0.455125 0.788300i 0.543570 0.839364i \(-0.317072\pi\)
−0.998695 + 0.0510637i \(0.983739\pi\)
\(884\) 0.0113640 + 0.0135431i 0.000382212 + 0.000455503i
\(885\) 5.18542 + 1.77064i 0.174306 + 0.0595193i
\(886\) 4.21480 23.9033i 0.141599 0.803047i
\(887\) −37.1463 31.1694i −1.24725 1.04657i −0.996921 0.0784069i \(-0.975017\pi\)
−0.250329 0.968161i \(-0.580539\pi\)
\(888\) −0.0799871 3.99585i −0.00268419 0.134092i
\(889\) −19.5670 + 20.1781i −0.656254 + 0.676752i
\(890\) 9.89133i 0.331558i
\(891\) 7.13864 1.85775i 0.239153 0.0622371i
\(892\) 27.1046i 0.907528i
\(893\) −7.61349 + 20.9179i −0.254776 + 0.699991i
\(894\) −13.5797 + 0.271831i −0.454172 + 0.00909140i
\(895\) −9.95335 + 11.8619i −0.332704 + 0.396501i
\(896\) −1.48404 + 2.19035i −0.0495783 + 0.0731744i
\(897\) −3.00228 1.02517i −0.100243 0.0342295i
\(898\) 9.09905 7.63501i 0.303639 0.254784i
\(899\) −10.2534 17.7593i −0.341969 0.592307i
\(900\) −7.19757 11.3883i −0.239919 0.379609i
\(901\) 0.466542 + 0.269358i 0.0155428 + 0.00897363i
\(902\) −0.882066 5.00244i −0.0293696 0.166563i
\(903\) 23.4855 11.9808i 0.781547 0.398695i
\(904\) −10.6254 + 3.86732i −0.353394 + 0.128625i
\(905\) −5.17545 14.2194i −0.172038 0.472669i
\(906\) −17.7428 2.76361i −0.589465 0.0918149i
\(907\) 9.11278 + 51.6811i 0.302585 + 1.71604i 0.634660 + 0.772791i \(0.281140\pi\)
−0.332076 + 0.943253i \(0.607749\pi\)
\(908\) −10.8856 + 18.8544i −0.361252 + 0.625707i
\(909\) 0.121759 0.110767i 0.00403849 0.00367391i
\(910\) 0.449243 0.0462738i 0.0148923 0.00153396i
\(911\) −9.09866 10.8434i −0.301452 0.359257i 0.593960 0.804494i \(-0.297564\pi\)
−0.895412 + 0.445238i \(0.853119\pi\)
\(912\) −6.54345 7.48855i −0.216675 0.247971i
\(913\) 6.12563 + 1.08011i 0.202729 + 0.0357466i
\(914\) −1.48615 + 1.77112i −0.0491573 + 0.0585834i
\(915\) −6.45920 + 3.90364i −0.213535 + 0.129050i
\(916\) 9.37368 25.7540i 0.309715 0.850935i
\(917\) −11.2694 + 25.1706i −0.372148 + 0.831205i
\(918\) −0.264083 0.278867i −0.00871604 0.00920398i
\(919\) −37.0571 −1.22240 −0.611200 0.791476i \(-0.709313\pi\)
−0.611200 + 0.791476i \(0.709313\pi\)
\(920\) 5.13535 + 1.86911i 0.169307 + 0.0616229i
\(921\) 28.9971 + 15.9764i 0.955487 + 0.526440i
\(922\) −14.3065 + 17.0499i −0.471161 + 0.561508i
\(923\) −0.402239 + 2.28121i −0.0132399 + 0.0750870i
\(924\) −0.843119 + 3.66003i −0.0277366 + 0.120406i
\(925\) −7.93788 + 6.66067i −0.260996 + 0.219002i
\(926\) −14.7127 + 8.49439i −0.483490 + 0.279143i
\(927\) −0.942156 0.127493i −0.0309445 0.00418741i
\(928\) −1.46205 + 2.53234i −0.0479940 + 0.0831281i
\(929\) −4.33954 24.6107i −0.142376 0.807452i −0.969437 0.245341i \(-0.921100\pi\)
0.827061 0.562112i \(-0.190011\pi\)
\(930\) 8.08487 3.12728i 0.265113 0.102547i
\(931\) 19.0157 35.4075i 0.623213 1.16043i
\(932\) 1.98387 + 5.45064i 0.0649839 + 0.178542i
\(933\) 16.1021 6.22838i 0.527159 0.203908i
\(934\) 31.4333 5.54254i 1.02853 0.181357i
\(935\) −0.0374405 0.0216163i −0.00122444 0.000706928i
\(936\) 0.567704 + 0.438874i 0.0185560 + 0.0143450i
\(937\) 48.7622 28.1529i 1.59299 0.919715i 0.600202 0.799848i \(-0.295087\pi\)
0.992790 0.119866i \(-0.0382466\pi\)
\(938\) 22.4716 6.39314i 0.733725 0.208743i
\(939\) 38.2634 7.53942i 1.24868 0.246040i
\(940\) −0.480463 + 2.72484i −0.0156710 + 0.0888746i
\(941\) −35.4452 29.7421i −1.15548 0.969563i −0.155647 0.987813i \(-0.549746\pi\)
−0.999833 + 0.0182494i \(0.994191\pi\)
\(942\) 13.1569 23.8798i 0.428676 0.778046i
\(943\) 16.2323 44.5978i 0.528596 1.45230i
\(944\) −4.43289 −0.144278
\(945\) −9.68150 + 1.58909i −0.314939 + 0.0516933i
\(946\) 4.71539 0.153311
\(947\) −0.0813271 + 0.223444i −0.00264278 + 0.00726097i −0.941007 0.338387i \(-0.890119\pi\)
0.938364 + 0.345648i \(0.112341\pi\)
\(948\) −10.0304 16.5970i −0.325773 0.539045i
\(949\) 1.64631 + 1.38142i 0.0534415 + 0.0448427i
\(950\) −4.47725 + 25.3918i −0.145261 + 0.823817i
\(951\) 14.3304 + 16.4002i 0.464696 + 0.531814i
\(952\) 0.188093 0.0535121i 0.00609613 0.00173434i
\(953\) 17.1648 9.91010i 0.556022 0.321020i −0.195525 0.980699i \(-0.562641\pi\)
0.751547 + 0.659679i \(0.229308\pi\)
\(954\) 20.8296 + 6.65016i 0.674383 + 0.215307i
\(955\) −8.99419 5.19280i −0.291045 0.168035i
\(956\) 12.4115 2.18848i 0.401417 0.0707806i
\(957\) −0.638858 + 4.10156i −0.0206513 + 0.132585i
\(958\) −5.90565 16.2256i −0.190803 0.524227i
\(959\) 59.0371 + 4.25156i 1.90641 + 0.137290i
\(960\) −0.962601 0.775425i −0.0310678 0.0250267i
\(961\) −3.15734 17.9062i −0.101850 0.577618i
\(962\) 0.275959 0.477976i 0.00889729 0.0154106i
\(963\) −1.81225 45.2484i −0.0583988 1.45811i
\(964\) 7.25057 4.18612i 0.233525 0.134826i
\(965\) −10.0951 + 8.47077i −0.324972 + 0.272684i
\(966\) −23.9203 + 25.6763i −0.769624 + 0.826122i
\(967\) 6.00483 34.0551i 0.193102 1.09514i −0.721993 0.691900i \(-0.756774\pi\)
0.915096 0.403237i \(-0.132115\pi\)
\(968\) 6.63887 7.91190i 0.213381 0.254298i
\(969\) 0.0147107 + 0.734894i 0.000472577 + 0.0236082i
\(970\) −5.26454 1.91613i −0.169034 0.0615234i
\(971\) 49.4498 1.58692 0.793460 0.608622i \(-0.208278\pi\)
0.793460 + 0.608622i \(0.208278\pi\)
\(972\) −12.8828 8.77690i −0.413215 0.281519i
\(973\) 15.8754 + 7.10775i 0.508942 + 0.227864i
\(974\) 3.05946 8.40580i 0.0980315 0.269339i
\(975\) −0.0372338 1.86006i −0.00119244 0.0595696i
\(976\) 3.92470 4.67727i 0.125626 0.149716i
\(977\) 5.23042 + 0.922265i 0.167336 + 0.0295059i 0.256688 0.966494i \(-0.417369\pi\)
−0.0893523 + 0.996000i \(0.528480\pi\)
\(978\) −5.85544 + 17.1480i −0.187236 + 0.548333i
\(979\) 7.30197 + 8.70215i 0.233372 + 0.278122i
\(980\) 1.56344 4.74459i 0.0499422 0.151560i
\(981\) −25.3677 + 1.01601i −0.809929 + 0.0324386i
\(982\) 4.89752 8.48275i 0.156286 0.270695i
\(983\) −7.74067 43.8995i −0.246889 1.40018i −0.816065 0.577961i \(-0.803849\pi\)
0.569176 0.822216i \(-0.307262\pi\)
\(984\) −6.73416 + 8.35969i −0.214677 + 0.266497i
\(985\) 0.663216 + 1.82217i 0.0211318 + 0.0580592i
\(986\) 0.203096 0.0739209i 0.00646789 0.00235412i
\(987\) −14.9054 9.66941i −0.474443 0.307781i
\(988\) −0.238471 1.35244i −0.00758678 0.0430268i
\(989\) 38.1545 + 22.0285i 1.21324 + 0.700466i
\(990\) −1.67160 0.533682i −0.0531268 0.0169615i
\(991\) 7.07401 + 12.2525i 0.224713 + 0.389215i 0.956233 0.292605i \(-0.0945221\pi\)
−0.731520 + 0.681820i \(0.761189\pi\)
\(992\) −5.37228 + 4.50788i −0.170570 + 0.143125i
\(993\) −1.18089 + 1.03186i −0.0374745 + 0.0327450i
\(994\) 21.2123 + 14.3721i 0.672814 + 0.455855i
\(995\) −7.94715 + 9.47105i −0.251942 + 0.300252i
\(996\) −6.79897 11.2500i −0.215434 0.356470i
\(997\) −11.2305 + 30.8554i −0.355672 + 0.977202i 0.624841 + 0.780752i \(0.285164\pi\)
−0.980514 + 0.196450i \(0.937059\pi\)
\(998\) 11.0706i 0.350435i
\(999\) −5.36107 + 10.7246i −0.169617 + 0.339313i
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 378.2.z.a.293.24 yes 144
7.6 odd 2 inner 378.2.z.a.293.13 yes 144
27.20 odd 18 inner 378.2.z.a.209.13 144
189.20 even 18 inner 378.2.z.a.209.24 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
378.2.z.a.209.13 144 27.20 odd 18 inner
378.2.z.a.209.24 yes 144 189.20 even 18 inner
378.2.z.a.293.13 yes 144 7.6 odd 2 inner
378.2.z.a.293.24 yes 144 1.1 even 1 trivial