Properties

Label 978.2.m.d.403.7
Level $978$
Weight $2$
Character 978.403
Analytic conductor $7.809$
Analytic rank $0$
Dimension $126$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [978,2,Mod(25,978)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(978, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([0, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("978.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 978 = 2 \cdot 3 \cdot 163 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 978.m (of order \(27\), degree \(18\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.80936931768\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(7\) over \(\Q(\zeta_{27})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{27}]$

Embedding invariants

Embedding label 403.7
Character \(\chi\) \(=\) 978.403
Dual form 978.2.m.d.199.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.686242 - 0.727374i) q^{2} +(0.835488 - 0.549509i) q^{3} +(-0.0581448 - 0.998308i) q^{4} +(3.07097 + 1.11774i) q^{5} +(0.173648 - 0.984808i) q^{6} +(0.710793 + 0.168461i) q^{7} +(-0.766044 - 0.642788i) q^{8} +(0.396080 - 0.918216i) q^{9} +O(q^{10})\) \(q+(0.686242 - 0.727374i) q^{2} +(0.835488 - 0.549509i) q^{3} +(-0.0581448 - 0.998308i) q^{4} +(3.07097 + 1.11774i) q^{5} +(0.173648 - 0.984808i) q^{6} +(0.710793 + 0.168461i) q^{7} +(-0.766044 - 0.642788i) q^{8} +(0.396080 - 0.918216i) q^{9} +(2.92044 - 1.46670i) q^{10} +(1.45288 - 0.955577i) q^{11} +(-0.597159 - 0.802123i) q^{12} +(-1.35302 + 1.13532i) q^{13} +(0.610310 - 0.401407i) q^{14} +(3.17996 - 0.753665i) q^{15} +(-0.993238 + 0.116093i) q^{16} +(-2.07464 - 1.74083i) q^{17} +(-0.396080 - 0.918216i) q^{18} +(1.01635 - 3.39484i) q^{19} +(0.937289 - 3.13076i) q^{20} +(0.686430 - 0.249840i) q^{21} +(0.301968 - 1.71255i) q^{22} +(-1.16198 + 2.01261i) q^{23} +(-0.993238 - 0.116093i) q^{24} +(4.35128 + 3.65115i) q^{25} +(-0.102698 + 1.76326i) q^{26} +(-0.173648 - 0.984808i) q^{27} +(0.126847 - 0.719386i) q^{28} +(4.97306 + 5.27114i) q^{29} +(1.63403 - 2.83022i) q^{30} +(2.19776 + 0.799920i) q^{31} +(-0.597159 + 0.802123i) q^{32} +(0.688769 - 1.59675i) q^{33} +(-2.68994 + 0.314408i) q^{34} +(1.99453 + 1.31182i) q^{35} +(-0.939693 - 0.342020i) q^{36} +(-0.0843377 - 0.478303i) q^{37} +(-1.77186 - 3.06894i) q^{38} +(-0.506565 + 1.69205i) q^{39} +(-1.63403 - 2.83022i) q^{40} +(-0.367483 + 6.30944i) q^{41} +(0.289330 - 0.670742i) q^{42} +(-3.74351 - 1.88006i) q^{43} +(-1.03844 - 1.39486i) q^{44} +(2.24268 - 2.37710i) q^{45} +(0.666521 + 2.22634i) q^{46} +(1.82559 - 1.93501i) q^{47} +(-0.766044 + 0.642788i) q^{48} +(-5.77858 - 2.90211i) q^{49} +(5.64178 - 0.659429i) q^{50} +(-2.68994 - 0.314408i) q^{51} +(1.21207 + 1.28472i) q^{52} +(4.89746 - 8.48265i) q^{53} +(-0.835488 - 0.549509i) q^{54} +(5.52985 - 1.31060i) q^{55} +(-0.436215 - 0.585938i) q^{56} +(-1.01635 - 3.39484i) q^{57} +7.24681 q^{58} -5.15788 q^{59} +(-0.937289 - 3.13076i) q^{60} +(-6.27339 + 5.26400i) q^{61} +(2.09004 - 1.04966i) q^{62} +(0.436215 - 0.585938i) q^{63} +(0.173648 + 0.984808i) q^{64} +(-5.42409 + 1.97421i) q^{65} +(-0.688769 - 1.59675i) q^{66} +(-0.137418 + 2.35937i) q^{67} +(-1.61725 + 2.17235i) q^{68} +(0.135127 + 2.32004i) q^{69} +(2.32291 - 0.550540i) q^{70} +(-5.44113 - 2.73264i) q^{71} +(-0.893633 + 0.448799i) q^{72} +(0.300099 + 5.15250i) q^{73} +(-0.405781 - 0.266886i) q^{74} +(5.64178 + 0.659429i) q^{75} +(-3.44819 - 0.817236i) q^{76} +(1.19368 - 0.434463i) q^{77} +(0.883123 + 1.52961i) q^{78} +(1.51947 + 3.52252i) q^{79} +(-3.17996 - 0.753665i) q^{80} +(-0.686242 - 0.727374i) q^{81} +(4.33714 + 4.59710i) q^{82} +(4.23999 + 1.00490i) q^{83} +(-0.289330 - 0.670742i) q^{84} +(-4.42535 - 7.66494i) q^{85} +(-3.93646 + 1.43275i) q^{86} +(7.05147 + 1.67123i) q^{87} +(-1.72721 - 0.201881i) q^{88} +(-9.98437 - 6.56683i) q^{89} +(-0.190021 - 3.26253i) q^{90} +(-1.15298 + 0.579047i) q^{91} +(2.07677 + 1.04299i) q^{92} +(2.27577 - 0.539367i) q^{93} +(-0.154681 - 2.65577i) q^{94} +(6.91572 - 9.28943i) q^{95} +(-0.0581448 + 0.998308i) q^{96} +(4.33024 + 10.0386i) q^{97} +(-6.07642 + 2.21164i) q^{98} +(-0.301968 - 1.71255i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126 q + 18 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 126 q + 18 q^{7} + 9 q^{13} + 9 q^{14} - 27 q^{17} + 27 q^{19} + 18 q^{22} + 9 q^{23} - 36 q^{25} - 18 q^{29} + 9 q^{30} - 18 q^{31} - 18 q^{34} + 27 q^{37} - 27 q^{38} + 18 q^{39} - 9 q^{40} + 9 q^{42} + 9 q^{43} - 9 q^{46} + 9 q^{47} - 36 q^{49} - 18 q^{50} - 18 q^{51} - 18 q^{52} - 9 q^{53} - 9 q^{55} + 18 q^{56} - 27 q^{57} + 54 q^{58} - 108 q^{59} + 63 q^{61} - 27 q^{62} - 18 q^{63} - 27 q^{65} - 54 q^{67} + 45 q^{68} + 72 q^{69} + 45 q^{70} - 9 q^{71} + 72 q^{73} + 54 q^{74} - 18 q^{75} - 27 q^{76} + 18 q^{77} + 18 q^{78} - 63 q^{79} + 18 q^{82} + 45 q^{83} - 9 q^{84} - 45 q^{86} - 9 q^{87} + 27 q^{89} + 99 q^{91} + 36 q^{92} + 9 q^{93} - 27 q^{94} - 144 q^{95} + 54 q^{97} - 18 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/978\mathbb{Z}\right)^\times\).

\(n\) \(653\) \(817\)
\(\chi(n)\) \(1\) \(e\left(\frac{20}{27}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.686242 0.727374i 0.485246 0.514331i
\(3\) 0.835488 0.549509i 0.482369 0.317259i
\(4\) −0.0581448 0.998308i −0.0290724 0.499154i
\(5\) 3.07097 + 1.11774i 1.37338 + 0.499869i 0.920164 0.391533i \(-0.128055\pi\)
0.453214 + 0.891402i \(0.350277\pi\)
\(6\) 0.173648 0.984808i 0.0708916 0.402046i
\(7\) 0.710793 + 0.168461i 0.268655 + 0.0636723i 0.362735 0.931892i \(-0.381843\pi\)
−0.0940805 + 0.995565i \(0.529991\pi\)
\(8\) −0.766044 0.642788i −0.270838 0.227260i
\(9\) 0.396080 0.918216i 0.132027 0.306072i
\(10\) 2.92044 1.46670i 0.923525 0.463811i
\(11\) 1.45288 0.955577i 0.438061 0.288117i −0.311259 0.950325i \(-0.600751\pi\)
0.749320 + 0.662208i \(0.230380\pi\)
\(12\) −0.597159 0.802123i −0.172385 0.231553i
\(13\) −1.35302 + 1.13532i −0.375261 + 0.314882i −0.810839 0.585270i \(-0.800989\pi\)
0.435578 + 0.900151i \(0.356544\pi\)
\(14\) 0.610310 0.401407i 0.163112 0.107281i
\(15\) 3.17996 0.753665i 0.821063 0.194596i
\(16\) −0.993238 + 0.116093i −0.248310 + 0.0290232i
\(17\) −2.07464 1.74083i −0.503174 0.422213i 0.355546 0.934659i \(-0.384295\pi\)
−0.858719 + 0.512446i \(0.828739\pi\)
\(18\) −0.396080 0.918216i −0.0933569 0.216426i
\(19\) 1.01635 3.39484i 0.233166 0.778830i −0.758688 0.651454i \(-0.774159\pi\)
0.991855 0.127376i \(-0.0406554\pi\)
\(20\) 0.937289 3.13076i 0.209584 0.700060i
\(21\) 0.686430 0.249840i 0.149791 0.0545196i
\(22\) 0.301968 1.71255i 0.0643798 0.365116i
\(23\) −1.16198 + 2.01261i −0.242290 + 0.419659i −0.961366 0.275272i \(-0.911232\pi\)
0.719076 + 0.694931i \(0.244565\pi\)
\(24\) −0.993238 0.116093i −0.202744 0.0236974i
\(25\) 4.35128 + 3.65115i 0.870255 + 0.730231i
\(26\) −0.102698 + 1.76326i −0.0201408 + 0.345803i
\(27\) −0.173648 0.984808i −0.0334186 0.189526i
\(28\) 0.126847 0.719386i 0.0239719 0.135951i
\(29\) 4.97306 + 5.27114i 0.923474 + 0.978826i 0.999833 0.0182548i \(-0.00581100\pi\)
−0.0763591 + 0.997080i \(0.524330\pi\)
\(30\) 1.63403 2.83022i 0.298331 0.516725i
\(31\) 2.19776 + 0.799920i 0.394730 + 0.143670i 0.531756 0.846898i \(-0.321532\pi\)
−0.137026 + 0.990567i \(0.543755\pi\)
\(32\) −0.597159 + 0.802123i −0.105564 + 0.141797i
\(33\) 0.688769 1.59675i 0.119899 0.277958i
\(34\) −2.68994 + 0.314408i −0.461320 + 0.0539206i
\(35\) 1.99453 + 1.31182i 0.337137 + 0.221738i
\(36\) −0.939693 0.342020i −0.156615 0.0570034i
\(37\) −0.0843377 0.478303i −0.0138650 0.0786325i 0.977090 0.212826i \(-0.0682667\pi\)
−0.990955 + 0.134193i \(0.957156\pi\)
\(38\) −1.77186 3.06894i −0.287433 0.497849i
\(39\) −0.506565 + 1.69205i −0.0811154 + 0.270944i
\(40\) −1.63403 2.83022i −0.258362 0.447497i
\(41\) −0.367483 + 6.30944i −0.0573912 + 0.985369i 0.839568 + 0.543255i \(0.182808\pi\)
−0.896959 + 0.442114i \(0.854229\pi\)
\(42\) 0.289330 0.670742i 0.0446446 0.103498i
\(43\) −3.74351 1.88006i −0.570880 0.286707i 0.139849 0.990173i \(-0.455338\pi\)
−0.710729 + 0.703466i \(0.751635\pi\)
\(44\) −1.03844 1.39486i −0.156550 0.210284i
\(45\) 2.24268 2.37710i 0.334318 0.354357i
\(46\) 0.666521 + 2.22634i 0.0982732 + 0.328255i
\(47\) 1.82559 1.93501i 0.266290 0.282250i −0.580407 0.814327i \(-0.697107\pi\)
0.846697 + 0.532076i \(0.178588\pi\)
\(48\) −0.766044 + 0.642788i −0.110569 + 0.0927784i
\(49\) −5.77858 2.90211i −0.825511 0.414587i
\(50\) 5.64178 0.659429i 0.797868 0.0932574i
\(51\) −2.68994 0.314408i −0.376666 0.0440260i
\(52\) 1.21207 + 1.28472i 0.168084 + 0.178159i
\(53\) 4.89746 8.48265i 0.672718 1.16518i −0.304412 0.952540i \(-0.598460\pi\)
0.977130 0.212642i \(-0.0682067\pi\)
\(54\) −0.835488 0.549509i −0.113695 0.0747787i
\(55\) 5.52985 1.31060i 0.745644 0.176721i
\(56\) −0.436215 0.585938i −0.0582916 0.0782992i
\(57\) −1.01635 3.39484i −0.134619 0.449657i
\(58\) 7.24681 0.951553
\(59\) −5.15788 −0.671499 −0.335750 0.941951i \(-0.608990\pi\)
−0.335750 + 0.941951i \(0.608990\pi\)
\(60\) −0.937289 3.13076i −0.121003 0.404180i
\(61\) −6.27339 + 5.26400i −0.803225 + 0.673986i −0.948981 0.315334i \(-0.897883\pi\)
0.145755 + 0.989321i \(0.453439\pi\)
\(62\) 2.09004 1.04966i 0.265435 0.133306i
\(63\) 0.436215 0.585938i 0.0549579 0.0738212i
\(64\) 0.173648 + 0.984808i 0.0217060 + 0.123101i
\(65\) −5.42409 + 1.97421i −0.672775 + 0.244870i
\(66\) −0.688769 1.59675i −0.0847816 0.196546i
\(67\) −0.137418 + 2.35937i −0.0167883 + 0.288243i 0.979456 + 0.201657i \(0.0646328\pi\)
−0.996244 + 0.0865860i \(0.972404\pi\)
\(68\) −1.61725 + 2.17235i −0.196121 + 0.263436i
\(69\) 0.135127 + 2.32004i 0.0162673 + 0.279299i
\(70\) 2.32291 0.550540i 0.277641 0.0658022i
\(71\) −5.44113 2.73264i −0.645743 0.324305i 0.0956104 0.995419i \(-0.469520\pi\)
−0.741354 + 0.671114i \(0.765816\pi\)
\(72\) −0.893633 + 0.448799i −0.105316 + 0.0528915i
\(73\) 0.300099 + 5.15250i 0.0351239 + 0.603055i 0.969245 + 0.246098i \(0.0791485\pi\)
−0.934121 + 0.356957i \(0.883814\pi\)
\(74\) −0.405781 0.266886i −0.0471711 0.0310249i
\(75\) 5.64178 + 0.659429i 0.651457 + 0.0761443i
\(76\) −3.44819 0.817236i −0.395535 0.0937434i
\(77\) 1.19368 0.434463i 0.136032 0.0495117i
\(78\) 0.883123 + 1.52961i 0.0999940 + 0.173195i
\(79\) 1.51947 + 3.52252i 0.170953 + 0.396315i 0.982056 0.188589i \(-0.0603915\pi\)
−0.811103 + 0.584904i \(0.801132\pi\)
\(80\) −3.17996 0.753665i −0.355531 0.0842624i
\(81\) −0.686242 0.727374i −0.0762491 0.0808193i
\(82\) 4.33714 + 4.59710i 0.478957 + 0.507664i
\(83\) 4.23999 + 1.00490i 0.465399 + 0.110302i 0.456624 0.889660i \(-0.349059\pi\)
0.00877520 + 0.999961i \(0.497207\pi\)
\(84\) −0.289330 0.670742i −0.0315685 0.0731839i
\(85\) −4.42535 7.66494i −0.479997 0.831379i
\(86\) −3.93646 + 1.43275i −0.424479 + 0.154498i
\(87\) 7.05147 + 1.67123i 0.755997 + 0.179175i
\(88\) −1.72721 0.201881i −0.184121 0.0215206i
\(89\) −9.98437 6.56683i −1.05834 0.696082i −0.103932 0.994584i \(-0.533143\pi\)
−0.954409 + 0.298502i \(0.903513\pi\)
\(90\) −0.190021 3.26253i −0.0200299 0.343900i
\(91\) −1.15298 + 0.579047i −0.120865 + 0.0607006i
\(92\) 2.07677 + 1.04299i 0.216519 + 0.108740i
\(93\) 2.27577 0.539367i 0.235986 0.0559297i
\(94\) −0.154681 2.65577i −0.0159541 0.273922i
\(95\) 6.91572 9.28943i 0.709538 0.953075i
\(96\) −0.0581448 + 0.998308i −0.00593438 + 0.101889i
\(97\) 4.33024 + 10.0386i 0.439669 + 1.01927i 0.983637 + 0.180162i \(0.0576622\pi\)
−0.543968 + 0.839106i \(0.683079\pi\)
\(98\) −6.07642 + 2.21164i −0.613811 + 0.223409i
\(99\) −0.301968 1.71255i −0.0303489 0.172117i
\(100\) 3.39197 4.55621i 0.339197 0.455621i
\(101\) −9.52108 + 4.78166i −0.947382 + 0.475793i −0.854251 0.519861i \(-0.825984\pi\)
−0.0931312 + 0.995654i \(0.529688\pi\)
\(102\) −2.07464 + 1.74083i −0.205420 + 0.172368i
\(103\) −1.60940 5.37576i −0.158579 0.529690i 0.841363 0.540470i \(-0.181754\pi\)
−0.999942 + 0.0107804i \(0.996568\pi\)
\(104\) 1.76625 0.173195
\(105\) 2.38726 0.232973
\(106\) −2.80922 9.38344i −0.272855 0.911400i
\(107\) −6.53009 8.77144i −0.631288 0.847967i 0.365267 0.930903i \(-0.380978\pi\)
−0.996555 + 0.0829359i \(0.973570\pi\)
\(108\) −0.973045 + 0.230616i −0.0936313 + 0.0221910i
\(109\) −1.28343 0.844126i −0.122930 0.0808526i 0.486555 0.873650i \(-0.338253\pi\)
−0.609485 + 0.792798i \(0.708624\pi\)
\(110\) 2.84152 4.92165i 0.270928 0.469261i
\(111\) −0.333295 0.353272i −0.0316349 0.0335311i
\(112\) −0.725544 0.0848040i −0.0685575 0.00801322i
\(113\) −14.9782 + 1.75070i −1.40903 + 0.164692i −0.786348 0.617784i \(-0.788031\pi\)
−0.622681 + 0.782476i \(0.713957\pi\)
\(114\) −3.16678 1.59042i −0.296596 0.148956i
\(115\) −5.81800 + 4.88188i −0.542531 + 0.455237i
\(116\) 4.97306 5.27114i 0.461737 0.489413i
\(117\) 0.506565 + 1.69205i 0.0468320 + 0.156430i
\(118\) −3.53956 + 3.75171i −0.325842 + 0.345373i
\(119\) −1.18138 1.58687i −0.108297 0.145468i
\(120\) −2.92044 1.46670i −0.266599 0.133891i
\(121\) −3.15913 + 7.32369i −0.287194 + 0.665790i
\(122\) −0.476167 + 8.17548i −0.0431102 + 0.740173i
\(123\) 3.16007 + 5.47339i 0.284933 + 0.493519i
\(124\) 0.670778 2.24056i 0.0602377 0.201208i
\(125\) 1.11144 + 1.92508i 0.0994105 + 0.172184i
\(126\) −0.126847 0.719386i −0.0113004 0.0640880i
\(127\) 16.7401 + 6.09290i 1.48545 + 0.540658i 0.952246 0.305332i \(-0.0987674\pi\)
0.533199 + 0.845990i \(0.320990\pi\)
\(128\) 0.835488 + 0.549509i 0.0738474 + 0.0485702i
\(129\) −4.16077 + 0.486324i −0.366335 + 0.0428184i
\(130\) −2.28625 + 5.30012i −0.200517 + 0.464851i
\(131\) 8.03979 10.7993i 0.702439 0.943540i −0.297498 0.954722i \(-0.596152\pi\)
0.999937 + 0.0111826i \(0.00355961\pi\)
\(132\) −1.63409 0.594761i −0.142229 0.0517673i
\(133\) 1.29431 2.24181i 0.112231 0.194390i
\(134\) 1.62184 + 1.71905i 0.140106 + 0.148504i
\(135\) 0.567492 3.21841i 0.0488419 0.276996i
\(136\) 0.470282 + 2.66710i 0.0403264 + 0.228702i
\(137\) 0.794141 13.6349i 0.0678481 1.16491i −0.776858 0.629676i \(-0.783188\pi\)
0.844706 0.535231i \(-0.179775\pi\)
\(138\) 1.78026 + 1.49382i 0.151546 + 0.127162i
\(139\) 6.28384 + 0.734476i 0.532988 + 0.0622974i 0.378330 0.925671i \(-0.376498\pi\)
0.154658 + 0.987968i \(0.450572\pi\)
\(140\) 1.19363 2.06743i 0.100880 0.174730i
\(141\) 0.461951 2.61986i 0.0389033 0.220632i
\(142\) −5.72158 + 2.08248i −0.480144 + 0.174758i
\(143\) −0.880899 + 2.94241i −0.0736645 + 0.246056i
\(144\) −0.286803 + 0.957990i −0.0239003 + 0.0798325i
\(145\) 9.38035 + 21.7461i 0.778995 + 1.80591i
\(146\) 3.95373 + 3.31758i 0.327213 + 0.274565i
\(147\) −6.42267 + 0.750702i −0.529733 + 0.0619169i
\(148\) −0.472590 + 0.112006i −0.0388467 + 0.00920683i
\(149\) −8.59933 + 5.65587i −0.704485 + 0.463347i −0.850527 0.525931i \(-0.823717\pi\)
0.146042 + 0.989278i \(0.453346\pi\)
\(150\) 4.35128 3.65115i 0.355280 0.298115i
\(151\) 4.43639 + 5.95910i 0.361028 + 0.484945i 0.945111 0.326749i \(-0.105953\pi\)
−0.584083 + 0.811694i \(0.698546\pi\)
\(152\) −2.96073 + 1.94730i −0.240147 + 0.157947i
\(153\) −2.42018 + 1.21546i −0.195660 + 0.0982641i
\(154\) 0.503134 1.16640i 0.0405437 0.0939909i
\(155\) 5.85515 + 4.91306i 0.470297 + 0.394626i
\(156\) 1.71864 + 0.407324i 0.137601 + 0.0326121i
\(157\) −2.45596 + 13.9285i −0.196007 + 1.11161i 0.714970 + 0.699155i \(0.246440\pi\)
−0.910977 + 0.412457i \(0.864671\pi\)
\(158\) 3.60491 + 1.31208i 0.286791 + 0.104384i
\(159\) −0.569524 9.77835i −0.0451662 0.775474i
\(160\) −2.73042 + 1.79583i −0.215859 + 0.141972i
\(161\) −1.16498 + 1.23480i −0.0918131 + 0.0973162i
\(162\) −1.00000 −0.0785674
\(163\) 8.53250 + 9.49718i 0.668317 + 0.743877i
\(164\) 6.32013 0.493519
\(165\) 3.89993 4.13369i 0.303609 0.321807i
\(166\) 3.64059 2.39445i 0.282565 0.185846i
\(167\) −0.103196 1.77180i −0.00798551 0.137106i −0.999944 0.0105454i \(-0.996643\pi\)
0.991959 0.126561i \(-0.0403938\pi\)
\(168\) −0.686430 0.249840i −0.0529592 0.0192756i
\(169\) −1.71571 + 9.73027i −0.131978 + 0.748482i
\(170\) −8.61213 2.04111i −0.660520 0.156546i
\(171\) −2.71464 2.27785i −0.207594 0.174192i
\(172\) −1.65922 + 3.84649i −0.126514 + 0.293292i
\(173\) 0.308372 0.154870i 0.0234451 0.0117746i −0.437038 0.899443i \(-0.643972\pi\)
0.460483 + 0.887668i \(0.347676\pi\)
\(174\) 6.05462 3.98219i 0.459000 0.301889i
\(175\) 2.47778 + 3.32824i 0.187303 + 0.251591i
\(176\) −1.33212 + 1.11778i −0.100413 + 0.0842562i
\(177\) −4.30935 + 2.83430i −0.323911 + 0.213039i
\(178\) −11.6282 + 2.75594i −0.871573 + 0.206566i
\(179\) −10.5612 + 1.23443i −0.789384 + 0.0922657i −0.501225 0.865317i \(-0.667117\pi\)
−0.288159 + 0.957583i \(0.593043\pi\)
\(180\) −2.50348 2.10067i −0.186598 0.156574i
\(181\) −1.51390 3.50962i −0.112528 0.260868i 0.852641 0.522497i \(-0.175000\pi\)
−0.965168 + 0.261629i \(0.915740\pi\)
\(182\) −0.370038 + 1.23601i −0.0274290 + 0.0916193i
\(183\) −2.34873 + 7.84529i −0.173623 + 0.579941i
\(184\) 2.18381 0.794844i 0.160993 0.0585966i
\(185\) 0.275620 1.56312i 0.0202640 0.114923i
\(186\) 1.16940 2.02547i 0.0857449 0.148515i
\(187\) −4.67770 0.546745i −0.342068 0.0399820i
\(188\) −2.03789 1.70999i −0.148628 0.124714i
\(189\) 0.0424738 0.729248i 0.00308952 0.0530450i
\(190\) −2.01103 11.4051i −0.145895 0.827413i
\(191\) −0.991590 + 5.62359i −0.0717489 + 0.406908i 0.927688 + 0.373356i \(0.121793\pi\)
−0.999437 + 0.0335521i \(0.989318\pi\)
\(192\) 0.686242 + 0.727374i 0.0495252 + 0.0524937i
\(193\) −7.19164 + 12.4563i −0.517666 + 0.896623i 0.482124 + 0.876103i \(0.339866\pi\)
−0.999789 + 0.0205200i \(0.993468\pi\)
\(194\) 10.2734 + 3.73922i 0.737589 + 0.268460i
\(195\) −3.44691 + 4.63001i −0.246839 + 0.331562i
\(196\) −2.56121 + 5.93755i −0.182943 + 0.424110i
\(197\) 2.94163 0.343827i 0.209583 0.0244967i −0.0106537 0.999943i \(-0.503391\pi\)
0.220236 + 0.975447i \(0.429317\pi\)
\(198\) −1.45288 0.955577i −0.103252 0.0679099i
\(199\) 10.7130 + 3.89922i 0.759426 + 0.276409i 0.692567 0.721354i \(-0.256480\pi\)
0.0668595 + 0.997762i \(0.478702\pi\)
\(200\) −0.986354 5.59389i −0.0697458 0.395548i
\(201\) 1.18169 + 2.04674i 0.0833497 + 0.144366i
\(202\) −3.05570 + 10.2068i −0.214998 + 0.718145i
\(203\) 2.64684 + 4.58446i 0.185772 + 0.321766i
\(204\) −0.157471 + 2.70367i −0.0110251 + 0.189294i
\(205\) −8.18084 + 18.9653i −0.571375 + 1.32460i
\(206\) −5.01463 2.51844i −0.349385 0.175468i
\(207\) 1.38778 + 1.86411i 0.0964572 + 0.129564i
\(208\) 1.21207 1.28472i 0.0840421 0.0890794i
\(209\) −1.76739 5.90350i −0.122253 0.408354i
\(210\) 1.63824 1.73643i 0.113049 0.119825i
\(211\) −3.56800 + 2.99391i −0.245631 + 0.206109i −0.757288 0.653081i \(-0.773476\pi\)
0.511657 + 0.859190i \(0.329032\pi\)
\(212\) −8.75307 4.39595i −0.601163 0.301915i
\(213\) −6.04761 + 0.706864i −0.414375 + 0.0484335i
\(214\) −10.8613 1.26951i −0.742466 0.0867818i
\(215\) −9.39478 9.95788i −0.640719 0.679122i
\(216\) −0.500000 + 0.866025i −0.0340207 + 0.0589256i
\(217\) 1.42740 + 0.938815i 0.0968982 + 0.0637309i
\(218\) −1.49474 + 0.354260i −0.101236 + 0.0239935i
\(219\) 3.08207 + 4.13994i 0.208267 + 0.279752i
\(220\) −1.62991 5.44429i −0.109889 0.367054i
\(221\) 4.78343 0.321769
\(222\) −0.485682 −0.0325968
\(223\) −2.63763 8.81029i −0.176629 0.589981i −0.999755 0.0221228i \(-0.992958\pi\)
0.823127 0.567858i \(-0.192228\pi\)
\(224\) −0.559583 + 0.469546i −0.0373887 + 0.0313729i
\(225\) 5.07600 2.54926i 0.338400 0.169951i
\(226\) −9.00524 + 12.0961i −0.599020 + 0.804623i
\(227\) −0.0625801 0.354910i −0.00415359 0.0235562i 0.982661 0.185414i \(-0.0593626\pi\)
−0.986814 + 0.161858i \(0.948251\pi\)
\(228\) −3.33000 + 1.21202i −0.220535 + 0.0802681i
\(229\) −0.166474 0.385931i −0.0110009 0.0255030i 0.912627 0.408793i \(-0.134050\pi\)
−0.923628 + 0.383290i \(0.874791\pi\)
\(230\) −0.441601 + 7.58200i −0.0291183 + 0.499943i
\(231\) 0.758562 1.01893i 0.0499097 0.0670404i
\(232\) −0.421364 7.23455i −0.0276639 0.474971i
\(233\) 10.4537 2.47758i 0.684847 0.162312i 0.126559 0.991959i \(-0.459607\pi\)
0.558288 + 0.829647i \(0.311458\pi\)
\(234\) 1.57838 + 0.792690i 0.103182 + 0.0518198i
\(235\) 7.76917 3.90182i 0.506804 0.254527i
\(236\) 0.299904 + 5.14916i 0.0195221 + 0.335182i
\(237\) 3.20515 + 2.10806i 0.208197 + 0.136933i
\(238\) −1.96495 0.229670i −0.127369 0.0148873i
\(239\) 28.2518 + 6.69579i 1.82745 + 0.433115i 0.993015 0.117986i \(-0.0376439\pi\)
0.834439 + 0.551101i \(0.185792\pi\)
\(240\) −3.07097 + 1.11774i −0.198230 + 0.0721499i
\(241\) 4.18002 + 7.24001i 0.269259 + 0.466370i 0.968671 0.248349i \(-0.0798879\pi\)
−0.699412 + 0.714719i \(0.746555\pi\)
\(242\) 3.15913 + 7.32369i 0.203077 + 0.470785i
\(243\) −0.973045 0.230616i −0.0624209 0.0147940i
\(244\) 5.61986 + 5.95670i 0.359775 + 0.381339i
\(245\) −14.5020 15.3712i −0.926500 0.982033i
\(246\) 6.14977 + 1.45752i 0.392095 + 0.0929282i
\(247\) 2.47909 + 5.74718i 0.157741 + 0.365684i
\(248\) −1.16940 2.02547i −0.0742573 0.128617i
\(249\) 4.09466 1.49033i 0.259488 0.0944460i
\(250\) 2.16297 + 0.512633i 0.136798 + 0.0324218i
\(251\) −16.3098 1.90634i −1.02946 0.120327i −0.415445 0.909618i \(-0.636374\pi\)
−0.614019 + 0.789291i \(0.710448\pi\)
\(252\) −0.610310 0.401407i −0.0384459 0.0252863i
\(253\) 0.234980 + 4.03446i 0.0147731 + 0.253644i
\(254\) 15.9196 7.99512i 0.998884 0.501658i
\(255\) −7.90928 3.97219i −0.495298 0.248748i
\(256\) 0.973045 0.230616i 0.0608153 0.0144135i
\(257\) −0.462549 7.94166i −0.0288530 0.495387i −0.981519 0.191367i \(-0.938708\pi\)
0.952666 0.304020i \(-0.0983290\pi\)
\(258\) −2.50155 + 3.36017i −0.155740 + 0.209195i
\(259\) 0.0206288 0.354182i 0.00128181 0.0220078i
\(260\) 2.28625 + 5.30012i 0.141787 + 0.328699i
\(261\) 6.80977 2.47855i 0.421514 0.153419i
\(262\) −2.33790 13.2589i −0.144436 0.819135i
\(263\) −9.79013 + 13.1504i −0.603685 + 0.810890i −0.993952 0.109812i \(-0.964975\pi\)
0.390267 + 0.920702i \(0.372383\pi\)
\(264\) −1.55400 + 0.780446i −0.0956418 + 0.0480331i
\(265\) 24.5214 20.5759i 1.50634 1.26397i
\(266\) −0.742426 2.47987i −0.0455210 0.152051i
\(267\) −11.9504 −0.731350
\(268\) 2.36337 0.144366
\(269\) 5.15548 + 17.2205i 0.314335 + 1.04995i 0.958506 + 0.285071i \(0.0920173\pi\)
−0.644171 + 0.764881i \(0.722797\pi\)
\(270\) −1.95155 2.62138i −0.118767 0.159532i
\(271\) −11.9831 + 2.84005i −0.727922 + 0.172521i −0.577837 0.816153i \(-0.696103\pi\)
−0.150085 + 0.988673i \(0.547955\pi\)
\(272\) 2.26271 + 1.48821i 0.137197 + 0.0902358i
\(273\) −0.645107 + 1.11736i −0.0390437 + 0.0676256i
\(274\) −9.37268 9.93446i −0.566224 0.600163i
\(275\) 9.81085 + 1.14672i 0.591617 + 0.0691501i
\(276\) 2.30825 0.269796i 0.138941 0.0162398i
\(277\) −0.829062 0.416370i −0.0498135 0.0250173i 0.423718 0.905794i \(-0.360725\pi\)
−0.473532 + 0.880777i \(0.657021\pi\)
\(278\) 4.84647 4.06667i 0.290672 0.243903i
\(279\) 1.60499 1.70119i 0.0960882 0.101847i
\(280\) −0.684674 2.28697i −0.0409171 0.136673i
\(281\) −9.67257 + 10.2523i −0.577017 + 0.611603i −0.948477 0.316847i \(-0.897376\pi\)
0.371460 + 0.928449i \(0.378857\pi\)
\(282\) −1.58860 2.13387i −0.0946000 0.127070i
\(283\) −4.71382 2.36737i −0.280208 0.140726i 0.303145 0.952944i \(-0.401963\pi\)
−0.583353 + 0.812219i \(0.698260\pi\)
\(284\) −2.41164 + 5.59081i −0.143105 + 0.331754i
\(285\) 0.673378 11.5615i 0.0398875 0.684841i
\(286\) 1.53572 + 2.65995i 0.0908090 + 0.157286i
\(287\) −1.32410 + 4.42280i −0.0781591 + 0.261070i
\(288\) 0.500000 + 0.866025i 0.0294628 + 0.0510310i
\(289\) −1.67838 9.51855i −0.0987281 0.559915i
\(290\) 22.2547 + 8.10005i 1.30684 + 0.475651i
\(291\) 9.13418 + 6.00764i 0.535455 + 0.352174i
\(292\) 5.12633 0.599183i 0.299996 0.0350645i
\(293\) 8.48016 19.6592i 0.495416 1.14850i −0.468781 0.883315i \(-0.655306\pi\)
0.964197 0.265189i \(-0.0854342\pi\)
\(294\) −3.86146 + 5.18684i −0.225205 + 0.302503i
\(295\) −15.8397 5.76518i −0.922223 0.335662i
\(296\) −0.242841 + 0.420613i −0.0141148 + 0.0244476i
\(297\) −1.19335 1.26488i −0.0692452 0.0733956i
\(298\) −1.78729 + 10.1362i −0.103535 + 0.587175i
\(299\) −0.712774 4.04234i −0.0412208 0.233775i
\(300\) 0.330273 5.67058i 0.0190683 0.327391i
\(301\) −2.34415 1.96697i −0.135114 0.113374i
\(302\) 7.37892 + 0.862473i 0.424609 + 0.0496297i
\(303\) −5.32718 + 9.22694i −0.306038 + 0.530074i
\(304\) −0.615359 + 3.48988i −0.0352933 + 0.200158i
\(305\) −25.1492 + 9.15355i −1.44004 + 0.524131i
\(306\) −0.776734 + 2.59447i −0.0444029 + 0.148316i
\(307\) 7.37734 24.6420i 0.421047 1.40640i −0.440058 0.897969i \(-0.645042\pi\)
0.861106 0.508426i \(-0.169773\pi\)
\(308\) −0.503134 1.16640i −0.0286687 0.0664616i
\(309\) −4.29866 3.60701i −0.244542 0.205195i
\(310\) 7.59168 0.887340i 0.431178 0.0503975i
\(311\) 3.56165 0.844126i 0.201962 0.0478660i −0.128389 0.991724i \(-0.540981\pi\)
0.330352 + 0.943858i \(0.392833\pi\)
\(312\) 1.47568 0.970568i 0.0835438 0.0549476i
\(313\) 2.85510 2.39571i 0.161380 0.135414i −0.558522 0.829490i \(-0.688631\pi\)
0.719902 + 0.694076i \(0.244187\pi\)
\(314\) 8.44581 + 11.3447i 0.476625 + 0.640218i
\(315\) 1.99453 1.31182i 0.112379 0.0739128i
\(316\) 3.42821 1.72171i 0.192852 0.0968539i
\(317\) 6.03292 13.9859i 0.338843 0.785526i −0.660553 0.750779i \(-0.729678\pi\)
0.999396 0.0347467i \(-0.0110625\pi\)
\(318\) −7.50335 6.29606i −0.420767 0.353065i
\(319\) 12.2623 + 2.90621i 0.686554 + 0.162716i
\(320\) −0.567492 + 3.21841i −0.0317238 + 0.179914i
\(321\) −10.2758 3.74008i −0.573539 0.208751i
\(322\) 0.0987078 + 1.69475i 0.00550077 + 0.0944446i
\(323\) −8.01839 + 5.27378i −0.446155 + 0.293441i
\(324\) −0.686242 + 0.727374i −0.0381245 + 0.0404096i
\(325\) −10.0326 −0.556509
\(326\) 12.7634 + 0.311049i 0.706897 + 0.0172274i
\(327\) −1.53615 −0.0849491
\(328\) 4.33714 4.59710i 0.239478 0.253832i
\(329\) 1.62359 1.06785i 0.0895115 0.0588726i
\(330\) −0.330439 5.67342i −0.0181901 0.312311i
\(331\) −17.3756 6.32421i −0.955050 0.347610i −0.182958 0.983121i \(-0.558567\pi\)
−0.772092 + 0.635511i \(0.780790\pi\)
\(332\) 0.756662 4.29124i 0.0415272 0.235512i
\(333\) −0.472590 0.112006i −0.0258978 0.00613788i
\(334\) −1.35958 1.14082i −0.0743928 0.0624229i
\(335\) −3.05917 + 7.09196i −0.167141 + 0.387475i
\(336\) −0.652784 + 0.327840i −0.0356123 + 0.0178852i
\(337\) 14.0316 9.22875i 0.764352 0.502722i −0.106473 0.994316i \(-0.533956\pi\)
0.870825 + 0.491593i \(0.163585\pi\)
\(338\) 5.90015 + 7.92528i 0.320926 + 0.431078i
\(339\) −11.5521 + 9.69333i −0.627422 + 0.526470i
\(340\) −7.39466 + 4.86354i −0.401032 + 0.263763i
\(341\) 3.95748 0.937939i 0.214309 0.0507923i
\(342\) −3.51975 + 0.411400i −0.190326 + 0.0222460i
\(343\) −7.53556 6.32309i −0.406882 0.341415i
\(344\) 1.65922 + 3.84649i 0.0894589 + 0.207389i
\(345\) −2.17823 + 7.27579i −0.117272 + 0.391715i
\(346\) 0.0989691 0.330580i 0.00532061 0.0177721i
\(347\) 27.6135 10.0505i 1.48237 0.539539i 0.530943 0.847407i \(-0.321838\pi\)
0.951429 + 0.307868i \(0.0996155\pi\)
\(348\) 1.25840 7.13671i 0.0674571 0.382568i
\(349\) 4.04671 7.00911i 0.216616 0.375189i −0.737156 0.675723i \(-0.763832\pi\)
0.953771 + 0.300534i \(0.0971649\pi\)
\(350\) 4.12123 + 0.481702i 0.220289 + 0.0257481i
\(351\) 1.35302 + 1.13532i 0.0722190 + 0.0605990i
\(352\) −0.101112 + 1.73602i −0.00538928 + 0.0925303i
\(353\) 2.05466 + 11.6525i 0.109358 + 0.620202i 0.989390 + 0.145287i \(0.0464104\pi\)
−0.880031 + 0.474916i \(0.842478\pi\)
\(354\) −0.895657 + 5.07952i −0.0476036 + 0.269974i
\(355\) −13.6552 14.4736i −0.724740 0.768180i
\(356\) −5.97518 + 10.3493i −0.316684 + 0.548512i
\(357\) −1.85902 0.676629i −0.0983899 0.0358110i
\(358\) −6.34967 + 8.52908i −0.335590 + 0.450776i
\(359\) 8.86077 20.5416i 0.467654 1.08414i −0.507307 0.861766i \(-0.669359\pi\)
0.974961 0.222378i \(-0.0713818\pi\)
\(360\) −3.24596 + 0.379398i −0.171077 + 0.0199960i
\(361\) 5.38230 + 3.53999i 0.283279 + 0.186315i
\(362\) −3.59171 1.30728i −0.188776 0.0687089i
\(363\) 1.38502 + 7.85483i 0.0726946 + 0.412272i
\(364\) 0.645107 + 1.11736i 0.0338128 + 0.0585655i
\(365\) −4.83757 + 16.1586i −0.253210 + 0.845780i
\(366\) 4.09467 + 7.09217i 0.214032 + 0.370714i
\(367\) −0.573849 + 9.85261i −0.0299547 + 0.514302i 0.949643 + 0.313334i \(0.101446\pi\)
−0.979598 + 0.200968i \(0.935591\pi\)
\(368\) 0.920476 2.13390i 0.0479831 0.111237i
\(369\) 5.64788 + 2.83647i 0.294017 + 0.147661i
\(370\) −0.947830 1.27316i −0.0492754 0.0661883i
\(371\) 4.91008 5.20438i 0.254919 0.270198i
\(372\) −0.670778 2.24056i −0.0347782 0.116167i
\(373\) −22.9344 + 24.3090i −1.18750 + 1.25867i −0.229047 + 0.973415i \(0.573561\pi\)
−0.958451 + 0.285258i \(0.907921\pi\)
\(374\) −3.60772 + 3.02724i −0.186551 + 0.156535i
\(375\) 1.98644 + 0.997630i 0.102580 + 0.0515174i
\(376\) −2.64228 + 0.308839i −0.136265 + 0.0159271i
\(377\) −12.7131 1.48595i −0.654758 0.0765302i
\(378\) −0.501288 0.531335i −0.0257835 0.0273289i
\(379\) −3.15572 + 5.46586i −0.162098 + 0.280762i −0.935621 0.353006i \(-0.885159\pi\)
0.773523 + 0.633769i \(0.218493\pi\)
\(380\) −9.67582 6.36389i −0.496359 0.326461i
\(381\) 17.3343 4.10830i 0.888062 0.210474i
\(382\) 3.40998 + 4.58040i 0.174470 + 0.234353i
\(383\) −5.55333 18.5494i −0.283762 0.947830i −0.974436 0.224664i \(-0.927871\pi\)
0.690674 0.723166i \(-0.257314\pi\)
\(384\) 1.00000 0.0510310
\(385\) 4.15136 0.211573
\(386\) 4.12517 + 13.7790i 0.209966 + 0.701334i
\(387\) −3.20903 + 2.69270i −0.163124 + 0.136878i
\(388\) 9.76986 4.90661i 0.495990 0.249095i
\(389\) −4.47452 + 6.01033i −0.226867 + 0.304736i −0.900952 0.433918i \(-0.857131\pi\)
0.674085 + 0.738654i \(0.264538\pi\)
\(390\) 1.00233 + 5.68450i 0.0507550 + 0.287846i
\(391\) 5.91431 2.15263i 0.299100 0.108863i
\(392\) 2.56121 + 5.93755i 0.129361 + 0.299891i
\(393\) 0.782827 13.4406i 0.0394884 0.677990i
\(394\) 1.76858 2.37561i 0.0890997 0.119682i
\(395\) 0.728969 + 12.5159i 0.0366784 + 0.629744i
\(396\) −1.69209 + 0.401033i −0.0850307 + 0.0201527i
\(397\) −6.50807 3.26848i −0.326631 0.164040i 0.277925 0.960603i \(-0.410353\pi\)
−0.604556 + 0.796563i \(0.706649\pi\)
\(398\) 10.1879 5.11656i 0.510674 0.256470i
\(399\) −0.150515 2.58424i −0.00753518 0.129374i
\(400\) −4.74573 3.12131i −0.237286 0.156066i
\(401\) −29.3432 3.42973i −1.46533 0.171273i −0.654282 0.756250i \(-0.727029\pi\)
−0.811049 + 0.584978i \(0.801103\pi\)
\(402\) 2.29967 + 0.545031i 0.114697 + 0.0271837i
\(403\) −3.88179 + 1.41286i −0.193366 + 0.0703794i
\(404\) 5.32718 + 9.22694i 0.265037 + 0.459057i
\(405\) −1.29441 3.00078i −0.0643198 0.149110i
\(406\) 5.15098 + 1.22081i 0.255639 + 0.0605876i
\(407\) −0.579588 0.614327i −0.0287291 0.0304511i
\(408\) 1.85851 + 1.96991i 0.0920101 + 0.0975250i
\(409\) −12.0380 2.85307i −0.595243 0.141075i −0.0780577 0.996949i \(-0.524872\pi\)
−0.517185 + 0.855874i \(0.673020\pi\)
\(410\) 8.18084 + 18.9653i 0.404023 + 0.936631i
\(411\) −6.82900 11.8282i −0.336849 0.583440i
\(412\) −5.27309 + 1.91925i −0.259787 + 0.0945546i
\(413\) −3.66619 0.868903i −0.180401 0.0427559i
\(414\) 2.30825 + 0.269796i 0.113444 + 0.0132598i
\(415\) 11.8976 + 7.82521i 0.584033 + 0.384124i
\(416\) −0.102698 1.76326i −0.00503519 0.0864509i
\(417\) 5.65367 2.83938i 0.276862 0.139045i
\(418\) −5.50691 2.76568i −0.269352 0.135274i
\(419\) 15.3887 3.64718i 0.751786 0.178176i 0.163179 0.986596i \(-0.447825\pi\)
0.588606 + 0.808420i \(0.299677\pi\)
\(420\) −0.138807 2.38322i −0.00677308 0.116289i
\(421\) −1.70505 + 2.29028i −0.0830992 + 0.111622i −0.841729 0.539901i \(-0.818462\pi\)
0.758630 + 0.651522i \(0.225869\pi\)
\(422\) −0.270821 + 4.64981i −0.0131833 + 0.226349i
\(423\) −1.05368 2.44270i −0.0512317 0.118768i
\(424\) −9.20422 + 3.35006i −0.446996 + 0.162693i
\(425\) −2.67129 15.1496i −0.129577 0.734866i
\(426\) −3.63597 + 4.88395i −0.176163 + 0.236628i
\(427\) −5.34586 + 2.68479i −0.258705 + 0.129926i
\(428\) −8.37691 + 7.02906i −0.404913 + 0.339762i
\(429\) 0.880899 + 2.94241i 0.0425302 + 0.142061i
\(430\) −13.6902 −0.660200
\(431\) −0.0256951 −0.00123769 −0.000618845 1.00000i \(-0.500197\pi\)
−0.000618845 1.00000i \(0.500197\pi\)
\(432\) 0.286803 + 0.957990i 0.0137988 + 0.0460913i
\(433\) 3.05319 + 4.10115i 0.146727 + 0.197089i 0.869410 0.494091i \(-0.164499\pi\)
−0.722683 + 0.691179i \(0.757091\pi\)
\(434\) 1.66241 0.393999i 0.0797983 0.0189125i
\(435\) 19.7868 + 13.0140i 0.948706 + 0.623974i
\(436\) −0.768073 + 1.33034i −0.0367840 + 0.0637118i
\(437\) 5.65152 + 5.99026i 0.270349 + 0.286553i
\(438\) 5.12633 + 0.599183i 0.244946 + 0.0286301i
\(439\) 7.41906 0.867164i 0.354092 0.0413875i 0.0628125 0.998025i \(-0.479993\pi\)
0.291280 + 0.956638i \(0.405919\pi\)
\(440\) −5.07854 2.55054i −0.242110 0.121592i
\(441\) −4.95354 + 4.15652i −0.235883 + 0.197929i
\(442\) 3.28259 3.47934i 0.156137 0.165496i
\(443\) 1.41538 + 4.72770i 0.0672467 + 0.224620i 0.985007 0.172516i \(-0.0551896\pi\)
−0.917760 + 0.397135i \(0.870004\pi\)
\(444\) −0.333295 + 0.353272i −0.0158175 + 0.0167655i
\(445\) −23.3217 31.3264i −1.10555 1.48502i
\(446\) −8.21842 4.12745i −0.389154 0.195440i
\(447\) −4.07669 + 9.45082i −0.192821 + 0.447008i
\(448\) −0.0424738 + 0.729248i −0.00200670 + 0.0344537i
\(449\) −5.38775 9.33186i −0.254264 0.440398i 0.710432 0.703766i \(-0.248500\pi\)
−0.964695 + 0.263369i \(0.915166\pi\)
\(450\) 1.62910 5.44156i 0.0767963 0.256518i
\(451\) 5.49524 + 9.51804i 0.258761 + 0.448187i
\(452\) 2.61864 + 14.8510i 0.123170 + 0.698535i
\(453\) 6.98112 + 2.54092i 0.328002 + 0.119383i
\(454\) −0.301097 0.198035i −0.0141312 0.00929423i
\(455\) −4.18798 + 0.489505i −0.196336 + 0.0229483i
\(456\) −1.40359 + 3.25389i −0.0657293 + 0.152378i
\(457\) 19.6495 26.3938i 0.919163 1.23465i −0.0525815 0.998617i \(-0.516745\pi\)
0.971745 0.236034i \(-0.0758476\pi\)
\(458\) −0.394958 0.143753i −0.0184552 0.00671713i
\(459\) −1.35412 + 2.34541i −0.0632051 + 0.109474i
\(460\) 5.21190 + 5.52430i 0.243006 + 0.257572i
\(461\) 6.53079 37.0380i 0.304169 1.72503i −0.323220 0.946324i \(-0.604765\pi\)
0.627389 0.778706i \(-0.284124\pi\)
\(462\) −0.220583 1.25099i −0.0102624 0.0582012i
\(463\) 0.923802 15.8611i 0.0429327 0.737126i −0.906316 0.422600i \(-0.861117\pi\)
0.949249 0.314526i \(-0.101846\pi\)
\(464\) −5.55138 4.65816i −0.257716 0.216250i
\(465\) 7.59168 + 0.887340i 0.352056 + 0.0411494i
\(466\) 5.37166 9.30399i 0.248837 0.430999i
\(467\) 4.68277 26.5573i 0.216693 1.22892i −0.661253 0.750163i \(-0.729975\pi\)
0.877945 0.478761i \(-0.158914\pi\)
\(468\) 1.65973 0.604092i 0.0767210 0.0279242i
\(469\) −0.495138 + 1.65388i −0.0228634 + 0.0763690i
\(470\) 2.49344 8.32868i 0.115014 0.384173i
\(471\) 5.60189 + 12.9866i 0.258121 + 0.598393i
\(472\) 3.95117 + 3.31542i 0.181867 + 0.152605i
\(473\) −7.23543 + 0.845700i −0.332685 + 0.0388853i
\(474\) 3.73286 0.884704i 0.171456 0.0406358i
\(475\) 16.8175 11.0610i 0.771639 0.507515i
\(476\) −1.51549 + 1.27165i −0.0694623 + 0.0582858i
\(477\) −5.84912 7.85674i −0.267813 0.359735i
\(478\) 24.2579 15.9547i 1.10953 0.729749i
\(479\) 17.9905 9.03515i 0.822005 0.412827i 0.0124875 0.999922i \(-0.496025\pi\)
0.809518 + 0.587096i \(0.199729\pi\)
\(480\) −1.29441 + 3.00078i −0.0590815 + 0.136966i
\(481\) 0.657138 + 0.551405i 0.0299629 + 0.0251419i
\(482\) 8.13470 + 1.92796i 0.370525 + 0.0878161i
\(483\) −0.294789 + 1.67183i −0.0134133 + 0.0760709i
\(484\) 7.49499 + 2.72795i 0.340681 + 0.123998i
\(485\) 2.07745 + 35.6684i 0.0943320 + 1.61962i
\(486\) −0.835488 + 0.549509i −0.0378985 + 0.0249262i
\(487\) −12.1985 + 12.9296i −0.552766 + 0.585897i −0.942156 0.335176i \(-0.891204\pi\)
0.389390 + 0.921073i \(0.372686\pi\)
\(488\) 8.18933 0.370714
\(489\) 12.3476 + 3.24610i 0.558377 + 0.146794i
\(490\) −21.1325 −0.954671
\(491\) 13.6009 14.4161i 0.613800 0.650590i −0.343681 0.939086i \(-0.611674\pi\)
0.957481 + 0.288496i \(0.0931553\pi\)
\(492\) 5.28039 3.47297i 0.238058 0.156574i
\(493\) −1.14116 19.5929i −0.0513952 0.882422i
\(494\) 5.88160 + 2.14073i 0.264626 + 0.0963159i
\(495\) 0.986848 5.59669i 0.0443555 0.251553i
\(496\) −2.27577 0.539367i −0.102185 0.0242183i
\(497\) −3.40718 2.85896i −0.152833 0.128242i
\(498\) 1.72589 4.00107i 0.0773392 0.179292i
\(499\) 22.8187 11.4600i 1.02150 0.513019i 0.142481 0.989798i \(-0.454492\pi\)
0.879023 + 0.476779i \(0.158196\pi\)
\(500\) 1.85719 1.22150i 0.0830563 0.0546270i
\(501\) −1.05984 1.42361i −0.0473501 0.0636022i
\(502\) −12.5791 + 10.5551i −0.561431 + 0.471097i
\(503\) 24.1116 15.8584i 1.07508 0.707093i 0.116869 0.993147i \(-0.462714\pi\)
0.958213 + 0.286055i \(0.0923439\pi\)
\(504\) −0.710793 + 0.168461i −0.0316613 + 0.00750385i
\(505\) −34.5836 + 4.04224i −1.53895 + 0.179877i
\(506\) 3.09581 + 2.59770i 0.137626 + 0.115482i
\(507\) 3.91342 + 9.07232i 0.173801 + 0.402916i
\(508\) 5.10925 17.0661i 0.226686 0.757184i
\(509\) 7.74355 25.8652i 0.343227 1.14646i −0.595950 0.803022i \(-0.703224\pi\)
0.939176 0.343435i \(-0.111591\pi\)
\(510\) −8.31694 + 3.02712i −0.368280 + 0.134043i
\(511\) −0.654688 + 3.71292i −0.0289617 + 0.164250i
\(512\) 0.500000 0.866025i 0.0220971 0.0382733i
\(513\) −3.51975 0.411400i −0.155401 0.0181637i
\(514\) −6.09397 5.11345i −0.268794 0.225545i
\(515\) 1.06630 18.3077i 0.0469869 0.806733i
\(516\) 0.727428 + 4.12545i 0.0320233 + 0.181613i
\(517\) 0.803317 4.55584i 0.0353298 0.200365i
\(518\) −0.243466 0.258059i −0.0106973 0.0113385i
\(519\) 0.172538 0.298845i 0.00757359 0.0131178i
\(520\) 5.42409 + 1.97421i 0.237862 + 0.0865747i
\(521\) −10.7404 + 14.4269i −0.470545 + 0.632052i −0.972517 0.232832i \(-0.925201\pi\)
0.501972 + 0.864884i \(0.332608\pi\)
\(522\) 2.87031 6.65414i 0.125630 0.291244i
\(523\) 15.8805 1.85616i 0.694405 0.0811643i 0.238433 0.971159i \(-0.423366\pi\)
0.455971 + 0.889995i \(0.349292\pi\)
\(524\) −11.2485 7.39826i −0.491393 0.323194i
\(525\) 3.89905 + 1.41914i 0.170169 + 0.0619363i
\(526\) 2.84688 + 16.1455i 0.124130 + 0.703975i
\(527\) −3.16704 5.48547i −0.137958 0.238951i
\(528\) −0.498741 + 1.66591i −0.0217049 + 0.0724994i
\(529\) 8.79959 + 15.2413i 0.382591 + 0.662667i
\(530\) 1.86124 31.9562i 0.0808470 1.38809i
\(531\) −2.04293 + 4.73605i −0.0886558 + 0.205527i
\(532\) −2.31328 1.16177i −0.100293 0.0503692i
\(533\) −6.66603 8.95403i −0.288738 0.387842i
\(534\) −8.20083 + 8.69237i −0.354885 + 0.376156i
\(535\) −10.2495 34.2358i −0.443125 1.48014i
\(536\) 1.62184 1.71905i 0.0700530 0.0742519i
\(537\) −8.14545 + 6.83485i −0.351502 + 0.294945i
\(538\) 16.0636 + 8.06747i 0.692553 + 0.347813i
\(539\) −11.1688 + 1.30544i −0.481074 + 0.0562295i
\(540\) −3.24596 0.379398i −0.139684 0.0163267i
\(541\) −7.75385 8.21860i −0.333364 0.353345i 0.538909 0.842364i \(-0.318837\pi\)
−0.872273 + 0.489019i \(0.837355\pi\)
\(542\) −6.15753 + 10.6652i −0.264488 + 0.458107i
\(543\) −3.19342 2.10034i −0.137043 0.0901343i
\(544\) 2.63525 0.624565i 0.112985 0.0267780i
\(545\) −2.99786 4.02683i −0.128414 0.172490i
\(546\) 0.370038 + 1.23601i 0.0158361 + 0.0528964i
\(547\) 40.8034 1.74463 0.872315 0.488945i \(-0.162618\pi\)
0.872315 + 0.488945i \(0.162618\pi\)
\(548\) −13.6580 −0.583440
\(549\) 2.34873 + 7.84529i 0.100241 + 0.334829i
\(550\) 7.56671 6.34923i 0.322646 0.270732i
\(551\) 22.9490 11.5254i 0.977661 0.491000i
\(552\) 1.38778 1.86411i 0.0590677 0.0793417i
\(553\) 0.486619 + 2.75976i 0.0206932 + 0.117357i
\(554\) −0.871793 + 0.317307i −0.0370390 + 0.0134811i
\(555\) −0.628671 1.45742i −0.0266856 0.0618642i
\(556\) 0.367860 6.31592i 0.0156007 0.267854i
\(557\) −1.07548 + 1.44462i −0.0455695 + 0.0612105i −0.824324 0.566118i \(-0.808444\pi\)
0.778754 + 0.627329i \(0.215852\pi\)
\(558\) −0.135990 2.33485i −0.00575690 0.0988422i
\(559\) 7.19953 1.70632i 0.304508 0.0721697i
\(560\) −2.13333 1.07140i −0.0901498 0.0452749i
\(561\) −4.20861 + 2.11364i −0.177687 + 0.0892380i
\(562\) 0.819551 + 14.0711i 0.0345707 + 0.593556i
\(563\) −27.3786 18.0072i −1.15387 0.758912i −0.179476 0.983762i \(-0.557440\pi\)
−0.974393 + 0.224850i \(0.927811\pi\)
\(564\) −2.64228 0.308839i −0.111260 0.0130045i
\(565\) −47.9543 11.3654i −2.01745 0.478145i
\(566\) −4.95678 + 1.80412i −0.208349 + 0.0758329i
\(567\) −0.365242 0.632617i −0.0153387 0.0265674i
\(568\) 2.41164 + 5.59081i 0.101190 + 0.234585i
\(569\) 18.8591 + 4.46969i 0.790615 + 0.187379i 0.606035 0.795438i \(-0.292759\pi\)
0.184580 + 0.982817i \(0.440907\pi\)
\(570\) −7.94740 8.42375i −0.332880 0.352832i
\(571\) 8.77406 + 9.29996i 0.367183 + 0.389191i 0.884452 0.466632i \(-0.154533\pi\)
−0.517269 + 0.855823i \(0.673051\pi\)
\(572\) 2.98865 + 0.708323i 0.124962 + 0.0296165i
\(573\) 2.26175 + 5.24333i 0.0944859 + 0.219043i
\(574\) 2.30838 + 3.99822i 0.0963498 + 0.166883i
\(575\) −12.4045 + 4.51486i −0.517302 + 0.188283i
\(576\) 0.973045 + 0.230616i 0.0405435 + 0.00960899i
\(577\) 3.02954 + 0.354102i 0.126121 + 0.0147415i 0.178919 0.983864i \(-0.442740\pi\)
−0.0527981 + 0.998605i \(0.516814\pi\)
\(578\) −8.07532 5.31122i −0.335889 0.220918i
\(579\) 0.836313 + 14.3589i 0.0347560 + 0.596737i
\(580\) 21.1639 10.6289i 0.878782 0.441341i
\(581\) 2.84447 + 1.42855i 0.118008 + 0.0592661i
\(582\) 10.6381 2.52127i 0.440962 0.104510i
\(583\) −0.990383 17.0042i −0.0410175 0.704242i
\(584\) 3.08207 4.13994i 0.127537 0.171312i
\(585\) −0.335623 + 5.76243i −0.0138763 + 0.238247i
\(586\) −8.48016 19.6592i −0.350312 0.812114i
\(587\) −26.7950 + 9.75257i −1.10595 + 0.402531i −0.829505 0.558499i \(-0.811377\pi\)
−0.276441 + 0.961031i \(0.589155\pi\)
\(588\) 1.12288 + 6.36815i 0.0463067 + 0.262618i
\(589\) 4.94929 6.64805i 0.203932 0.273928i
\(590\) −15.0633 + 7.56507i −0.620146 + 0.311449i
\(591\) 2.26876 1.90372i 0.0933244 0.0783084i
\(592\) 0.139295 + 0.465278i 0.00572499 + 0.0191228i
\(593\) −18.8259 −0.773087 −0.386543 0.922271i \(-0.626331\pi\)
−0.386543 + 0.922271i \(0.626331\pi\)
\(594\) −1.73896 −0.0713506
\(595\) −1.85427 6.19368i −0.0760176 0.253916i
\(596\) 6.14631 + 8.25592i 0.251763 + 0.338176i
\(597\) 11.0933 2.62915i 0.454017 0.107604i
\(598\) −3.42943 2.25557i −0.140240 0.0922371i
\(599\) 10.5368 18.2503i 0.430523 0.745688i −0.566395 0.824134i \(-0.691662\pi\)
0.996918 + 0.0784456i \(0.0249957\pi\)
\(600\) −3.89798 4.13162i −0.159134 0.168673i
\(601\) 11.5896 + 1.35463i 0.472749 + 0.0552565i 0.349132 0.937074i \(-0.386476\pi\)
0.123617 + 0.992330i \(0.460551\pi\)
\(602\) −3.03937 + 0.355252i −0.123876 + 0.0144790i
\(603\) 2.11199 + 1.06068i 0.0860067 + 0.0431942i
\(604\) 5.69106 4.77537i 0.231566 0.194307i
\(605\) −17.8876 + 18.9597i −0.727234 + 0.770823i
\(606\) 3.05570 + 10.2068i 0.124129 + 0.414621i
\(607\) 16.6780 17.6777i 0.676941 0.717515i −0.294274 0.955721i \(-0.595078\pi\)
0.971215 + 0.238206i \(0.0765593\pi\)
\(608\) 2.11616 + 2.84249i 0.0858216 + 0.115278i
\(609\) 4.73060 + 2.37580i 0.191694 + 0.0962721i
\(610\) −10.6004 + 24.5744i −0.429196 + 0.994988i
\(611\) −0.273205 + 4.69075i −0.0110527 + 0.189767i
\(612\) 1.35412 + 2.34541i 0.0547372 + 0.0948076i
\(613\) 7.39296 24.6942i 0.298599 0.997390i −0.668654 0.743574i \(-0.733129\pi\)
0.967253 0.253816i \(-0.0816858\pi\)
\(614\) −12.8613 22.2765i −0.519041 0.899005i
\(615\) 3.58662 + 20.3407i 0.144627 + 0.820218i
\(616\) −1.19368 0.434463i −0.0480946 0.0175050i
\(617\) 13.9459 + 9.17238i 0.561442 + 0.369266i 0.798283 0.602282i \(-0.205742\pi\)
−0.236841 + 0.971548i \(0.576112\pi\)
\(618\) −5.57356 + 0.651456i −0.224202 + 0.0262054i
\(619\) −0.509248 + 1.18057i −0.0204684 + 0.0474511i −0.928144 0.372222i \(-0.878596\pi\)
0.907675 + 0.419673i \(0.137855\pi\)
\(620\) 4.56430 6.13092i 0.183307 0.246224i
\(621\) 2.18381 + 0.794844i 0.0876335 + 0.0318960i
\(622\) 1.83015 3.16992i 0.0733825 0.127102i
\(623\) −5.99057 6.34963i −0.240007 0.254393i
\(624\) 0.306706 1.73941i 0.0122780 0.0696323i
\(625\) −3.67030 20.8153i −0.146812 0.832612i
\(626\) 0.216710 3.72076i 0.00866146 0.148712i
\(627\) −4.72066 3.96111i −0.188525 0.158191i
\(628\) 14.0477 + 1.64194i 0.560564 + 0.0655206i
\(629\) −0.657673 + 1.13912i −0.0262231 + 0.0454198i
\(630\) 0.414544 2.35099i 0.0165158 0.0936658i
\(631\) −26.5315 + 9.65667i −1.05620 + 0.384426i −0.811000 0.585046i \(-0.801076\pi\)
−0.245202 + 0.969472i \(0.578854\pi\)
\(632\) 1.10025 3.67510i 0.0437657 0.146188i
\(633\) −1.33584 + 4.46202i −0.0530949 + 0.177349i
\(634\) −6.03292 13.9859i −0.239598 0.555451i
\(635\) 44.5981 + 37.4222i 1.76982 + 1.48506i
\(636\) −9.72870 + 1.13712i −0.385768 + 0.0450898i
\(637\) 11.1134 2.63392i 0.440328 0.104360i
\(638\) 10.5288 6.92488i 0.416838 0.274159i
\(639\) −4.66428 + 3.91379i −0.184516 + 0.154827i
\(640\) 1.95155 + 2.62138i 0.0771417 + 0.103619i
\(641\) −26.6674 + 17.5395i −1.05330 + 0.692767i −0.953240 0.302214i \(-0.902274\pi\)
−0.100061 + 0.994981i \(0.531904\pi\)
\(642\) −9.77212 + 4.90774i −0.385675 + 0.193693i
\(643\) −8.37407 + 19.4133i −0.330241 + 0.765585i 0.669499 + 0.742813i \(0.266509\pi\)
−0.999741 + 0.0227727i \(0.992751\pi\)
\(644\) 1.30045 + 1.09121i 0.0512450 + 0.0429997i
\(645\) −13.3212 3.15718i −0.524521 0.124314i
\(646\) −1.66655 + 9.45145i −0.0655693 + 0.371862i
\(647\) −31.2252 11.3651i −1.22759 0.446806i −0.354819 0.934935i \(-0.615457\pi\)
−0.872772 + 0.488129i \(0.837680\pi\)
\(648\) 0.0581448 + 0.998308i 0.00228414 + 0.0392172i
\(649\) −7.49381 + 4.92875i −0.294158 + 0.193471i
\(650\) −6.88479 + 7.29746i −0.270044 + 0.286230i
\(651\) 1.70846 0.0669599
\(652\) 8.98499 9.07027i 0.351880 0.355219i
\(653\) 0.349278 0.0136683 0.00683415 0.999977i \(-0.497825\pi\)
0.00683415 + 0.999977i \(0.497825\pi\)
\(654\) −1.05417 + 1.11735i −0.0412212 + 0.0436919i
\(655\) 36.7607 24.1779i 1.43636 0.944710i
\(656\) −0.367483 6.30944i −0.0143478 0.246342i
\(657\) 4.84997 + 1.76525i 0.189215 + 0.0688688i
\(658\) 0.337448 1.91376i 0.0131551 0.0746062i
\(659\) 19.9009 + 4.71660i 0.775229 + 0.183733i 0.599143 0.800642i \(-0.295508\pi\)
0.176086 + 0.984375i \(0.443656\pi\)
\(660\) −4.35346 3.65298i −0.169458 0.142192i
\(661\) 13.8363 32.0762i 0.538170 1.24762i −0.404698 0.914450i \(-0.632623\pi\)
0.942868 0.333167i \(-0.108117\pi\)
\(662\) −16.5239 + 8.29863i −0.642221 + 0.322535i
\(663\) 3.99650 2.62854i 0.155211 0.102084i
\(664\) −2.60208 3.49520i −0.100980 0.135640i
\(665\) 6.48056 5.43783i 0.251305 0.210870i
\(666\) −0.405781 + 0.266886i −0.0157237 + 0.0103416i
\(667\) −16.3874 + 3.88388i −0.634522 + 0.150384i
\(668\) −1.76280 + 0.206042i −0.0682048 + 0.00797200i
\(669\) −7.04504 5.91149i −0.272377 0.228551i
\(670\) 3.05917 + 7.09196i 0.118186 + 0.273986i
\(671\) −4.08435 + 13.6427i −0.157675 + 0.526670i
\(672\) −0.209505 + 0.699796i −0.00808183 + 0.0269952i
\(673\) 29.0729 10.5817i 1.12068 0.407894i 0.285780 0.958295i \(-0.407748\pi\)
0.834900 + 0.550401i \(0.185525\pi\)
\(674\) 2.91634 16.5394i 0.112333 0.637074i
\(675\) 2.84009 4.91919i 0.109315 0.189340i
\(676\) 9.81357 + 1.14704i 0.377445 + 0.0441170i
\(677\) 11.7299 + 9.84258i 0.450818 + 0.378281i 0.839739 0.542990i \(-0.182708\pi\)
−0.388921 + 0.921271i \(0.627152\pi\)
\(678\) −0.876833 + 15.0546i −0.0336746 + 0.578170i
\(679\) 1.38679 + 7.86487i 0.0532200 + 0.301826i
\(680\) −1.53691 + 8.71624i −0.0589378 + 0.334253i
\(681\) −0.247311 0.262134i −0.00947698 0.0100450i
\(682\) 2.03355 3.52222i 0.0778688 0.134873i
\(683\) 17.0960 + 6.22242i 0.654158 + 0.238094i 0.647712 0.761885i \(-0.275726\pi\)
0.00644616 + 0.999979i \(0.497948\pi\)
\(684\) −2.11616 + 2.84249i −0.0809133 + 0.108685i
\(685\) 17.6790 40.9846i 0.675482 1.56594i
\(686\) −9.77047 + 1.14200i −0.373038 + 0.0436019i
\(687\) −0.351160 0.230962i −0.0133976 0.00881173i
\(688\) 3.93646 + 1.43275i 0.150076 + 0.0546232i
\(689\) 3.00416 + 17.0374i 0.114449 + 0.649074i
\(690\) 3.79743 + 6.57734i 0.144566 + 0.250395i
\(691\) −5.95699 + 19.8977i −0.226615 + 0.756946i 0.766751 + 0.641945i \(0.221872\pi\)
−0.993365 + 0.115001i \(0.963313\pi\)
\(692\) −0.172538 0.298845i −0.00655892 0.0113604i
\(693\) 0.0738605 1.26814i 0.00280573 0.0481725i
\(694\) 11.6391 26.9824i 0.441814 1.02424i
\(695\) 18.4765 + 9.27926i 0.700854 + 0.351982i
\(696\) −4.32749 5.81283i −0.164033 0.220335i
\(697\) 11.7460 12.4501i 0.444913 0.471580i
\(698\) −2.32122 7.75342i −0.0878595 0.293471i
\(699\) 7.37252 7.81441i 0.278854 0.295568i
\(700\) 3.17854 2.66711i 0.120137 0.100807i
\(701\) 2.65482 + 1.33330i 0.100271 + 0.0503580i 0.498228 0.867046i \(-0.333984\pi\)
−0.397957 + 0.917404i \(0.630281\pi\)
\(702\) 1.75430 0.205049i 0.0662119 0.00773906i
\(703\) −1.70948 0.199809i −0.0644742 0.00753595i
\(704\) 1.19335 + 1.26488i 0.0449761 + 0.0476718i
\(705\) 4.34696 7.52915i 0.163716 0.283564i
\(706\) 9.88575 + 6.50196i 0.372055 + 0.244704i
\(707\) −7.57304 + 1.79484i −0.284814 + 0.0675020i
\(708\) 3.08008 + 4.13726i 0.115756 + 0.155488i
\(709\) −0.449072 1.50000i −0.0168652 0.0563338i 0.949143 0.314846i \(-0.101953\pi\)
−0.966008 + 0.258512i \(0.916768\pi\)
\(710\) −19.8985 −0.746776
\(711\) 3.83627 0.143871
\(712\) 3.42740 + 11.4483i 0.128447 + 0.429044i
\(713\) −4.16369 + 3.49375i −0.155932 + 0.130842i
\(714\) −1.76790 + 0.887873i −0.0661620 + 0.0332278i
\(715\) −5.99406 + 8.05142i −0.224165 + 0.301106i
\(716\) 1.84642 + 10.4716i 0.0690041 + 0.391342i
\(717\) 27.2834 9.93034i 1.01892 0.370855i
\(718\) −8.86077 20.5416i −0.330681 0.766605i
\(719\) 2.09449 35.9610i 0.0781113 1.34112i −0.700518 0.713635i \(-0.747048\pi\)
0.778629 0.627484i \(-0.215915\pi\)
\(720\) −1.95155 + 2.62138i −0.0727299 + 0.0976932i
\(721\) −0.238342 4.09218i −0.00887633 0.152401i
\(722\) 6.26846 1.48565i 0.233288 0.0552902i
\(723\) 7.47081 + 3.75198i 0.277842 + 0.139538i
\(724\) −3.41566 + 1.71541i −0.126942 + 0.0637526i
\(725\) 2.39343 + 41.0936i 0.0888897 + 1.52618i
\(726\) 6.66385 + 4.38289i 0.247319 + 0.162664i
\(727\) 15.8561 + 1.85332i 0.588072 + 0.0687357i 0.404925 0.914350i \(-0.367298\pi\)
0.183147 + 0.983086i \(0.441372\pi\)
\(728\) 1.25544 + 0.297544i 0.0465296 + 0.0110277i
\(729\) −0.939693 + 0.342020i −0.0348034 + 0.0126674i
\(730\) 8.43360 + 14.6074i 0.312141 + 0.540645i
\(731\) 4.49357 + 10.4173i 0.166201 + 0.385296i
\(732\) 7.96859 + 1.88859i 0.294527 + 0.0698043i
\(733\) −5.37102 5.69295i −0.198383 0.210274i 0.620543 0.784172i \(-0.286912\pi\)
−0.818927 + 0.573898i \(0.805431\pi\)
\(734\) 6.77273 + 7.17867i 0.249986 + 0.264970i
\(735\) −20.5629 4.87350i −0.758474 0.179762i
\(736\) −0.920476 2.13390i −0.0339292 0.0786568i
\(737\) 2.05491 + 3.55921i 0.0756936 + 0.131105i
\(738\) 5.93898 2.16161i 0.218617 0.0795700i
\(739\) −16.1150 3.81933i −0.592801 0.140496i −0.0767441 0.997051i \(-0.524452\pi\)
−0.516057 + 0.856554i \(0.672601\pi\)
\(740\) −1.57650 0.184267i −0.0579534 0.00677378i
\(741\) 5.22938 + 3.43942i 0.192106 + 0.126350i
\(742\) −0.416028 7.14293i −0.0152729 0.262225i
\(743\) −12.4979 + 6.27669i −0.458504 + 0.230269i −0.663032 0.748591i \(-0.730730\pi\)
0.204528 + 0.978861i \(0.434434\pi\)
\(744\) −2.09004 1.04966i −0.0766245 0.0384823i
\(745\) −32.7301 + 7.75717i −1.19914 + 0.284201i
\(746\) 1.94322 + 33.3637i 0.0711462 + 1.22153i
\(747\) 2.60208 3.49520i 0.0952053 0.127883i
\(748\) −0.273836 + 4.70158i −0.0100124 + 0.171907i
\(749\) −3.16390 7.33475i −0.115606 0.268006i
\(750\) 2.08883 0.760272i 0.0762733 0.0277612i
\(751\) 4.65029 + 26.3731i 0.169691 + 0.962368i 0.944094 + 0.329675i \(0.106939\pi\)
−0.774403 + 0.632693i \(0.781950\pi\)
\(752\) −1.58860 + 2.13387i −0.0579304 + 0.0778141i
\(753\) −14.6742 + 7.36965i −0.534757 + 0.268565i
\(754\) −9.80510 + 8.22746i −0.357081 + 0.299626i
\(755\) 6.96327 + 23.2589i 0.253419 + 0.846479i
\(756\) −0.730484 −0.0265674
\(757\) −26.6687 −0.969290 −0.484645 0.874711i \(-0.661051\pi\)
−0.484645 + 0.874711i \(0.661051\pi\)
\(758\) 1.81014 + 6.04629i 0.0657472 + 0.219611i
\(759\) 2.41329 + 3.24162i 0.0875971 + 0.117663i
\(760\) −11.2689 + 2.67077i −0.408765 + 0.0968791i
\(761\) −0.425365 0.279767i −0.0154195 0.0101415i 0.541776 0.840523i \(-0.317752\pi\)
−0.557195 + 0.830381i \(0.688123\pi\)
\(762\) 8.90723 15.4278i 0.322675 0.558889i
\(763\) −0.770052 0.816207i −0.0278778 0.0295487i
\(764\) 5.67173 + 0.662930i 0.205196 + 0.0239840i
\(765\) −8.79086 + 1.02750i −0.317834 + 0.0371495i
\(766\) −17.3033 8.69003i −0.625193 0.313983i
\(767\) 6.97874 5.85586i 0.251988 0.211443i
\(768\) 0.686242 0.727374i 0.0247626 0.0262468i
\(769\) −1.54711 5.16771i −0.0557903 0.186352i 0.925552 0.378620i \(-0.123601\pi\)
−0.981343 + 0.192267i \(0.938416\pi\)
\(770\) 2.84884 3.01959i 0.102665 0.108819i
\(771\) −4.75047 6.38098i −0.171084 0.229805i
\(772\) 12.8534 + 6.45520i 0.462603 + 0.232328i
\(773\) −20.4981 + 47.5200i −0.737266 + 1.70917i −0.0327727 + 0.999463i \(0.510434\pi\)
−0.704493 + 0.709711i \(0.748826\pi\)
\(774\) −0.243574 + 4.18201i −0.00875509 + 0.150319i
\(775\) 6.64244 + 11.5050i 0.238603 + 0.413273i
\(776\) 3.13555 10.4735i 0.112560 0.375975i
\(777\) −0.177391 0.307251i −0.00636387 0.0110226i
\(778\) 1.30115 + 7.37919i 0.0466485 + 0.264557i
\(779\) 21.0460 + 7.66013i 0.754053 + 0.274453i
\(780\) 4.82260 + 3.17187i 0.172677 + 0.113571i
\(781\) −10.5166 + 1.22921i −0.376313 + 0.0439846i
\(782\) 2.49288 5.77914i 0.0891452 0.206662i
\(783\) 4.32749 5.81283i 0.154652 0.207734i
\(784\) 6.07642 + 2.21164i 0.217015 + 0.0789870i
\(785\) −23.1106 + 40.0287i −0.824853 + 1.42869i
\(786\) −9.23915 9.79292i −0.329549 0.349302i
\(787\) −1.45567 + 8.25550i −0.0518889 + 0.294277i −0.999698 0.0245607i \(-0.992181\pi\)
0.947809 + 0.318837i \(0.103292\pi\)
\(788\) −0.514286 2.91666i −0.0183207 0.103902i
\(789\) −0.953257 + 16.3668i −0.0339368 + 0.582673i
\(790\) 9.60400 + 8.05871i 0.341695 + 0.286716i
\(791\) −10.9413 1.27886i −0.389028 0.0454709i
\(792\) −0.869482 + 1.50599i −0.0308957 + 0.0535129i
\(793\) 2.51171 14.2446i 0.0891935 0.505842i
\(794\) −6.84351 + 2.49083i −0.242867 + 0.0883964i
\(795\) 9.18067 30.6656i 0.325605 1.08760i
\(796\) 3.26972 10.9216i 0.115892 0.387107i
\(797\) 1.94513 + 4.50931i 0.0688999 + 0.159728i 0.949186 0.314715i \(-0.101909\pi\)
−0.880286 + 0.474443i \(0.842650\pi\)
\(798\) −1.98300 1.66394i −0.0701975 0.0589027i
\(799\) −7.15596 + 0.836412i −0.253160 + 0.0295901i
\(800\) −5.52708 + 1.30994i −0.195412 + 0.0463134i
\(801\) −9.98437 + 6.56683i −0.352780 + 0.232027i
\(802\) −22.6313 + 18.9899i −0.799137 + 0.670556i
\(803\) 5.35962 + 7.19922i 0.189137 + 0.254055i
\(804\) 1.97457 1.29869i 0.0696377 0.0458014i
\(805\) −4.95780 + 2.48990i −0.174739 + 0.0877575i
\(806\) −1.63617 + 3.79307i −0.0576317 + 0.133605i
\(807\) 13.7702 + 11.5545i 0.484733 + 0.406739i
\(808\) 10.3672 + 2.45706i 0.364715 + 0.0864391i
\(809\) −4.58736 + 26.0162i −0.161283 + 0.914681i 0.791532 + 0.611128i \(0.209284\pi\)
−0.952815 + 0.303553i \(0.901827\pi\)
\(810\) −3.07097 1.11774i −0.107903 0.0392734i
\(811\) 1.64371 + 28.2215i 0.0577186 + 0.990990i 0.895522 + 0.445018i \(0.146803\pi\)
−0.837803 + 0.545973i \(0.816160\pi\)
\(812\) 4.42280 2.90892i 0.155210 0.102083i
\(813\) −8.45110 + 8.95765i −0.296393 + 0.314158i
\(814\) −0.844583 −0.0296026
\(815\) 15.5876 + 38.7027i 0.546011 + 1.35570i
\(816\) 2.70825 0.0948076
\(817\) −10.1872 + 10.7978i −0.356406 + 0.377768i
\(818\) −10.3362 + 6.79826i −0.361398 + 0.237695i
\(819\) 0.0750193 + 1.28803i 0.00262139 + 0.0450075i
\(820\) 19.4089 + 7.06427i 0.677789 + 0.246695i
\(821\) −9.25131 + 52.4668i −0.322873 + 1.83110i 0.201346 + 0.979520i \(0.435468\pi\)
−0.524219 + 0.851583i \(0.675643\pi\)
\(822\) −13.2898 3.14975i −0.463536 0.109860i
\(823\) −42.3444 35.5312i −1.47603 1.23854i −0.910299 0.413951i \(-0.864148\pi\)
−0.565734 0.824588i \(-0.691407\pi\)
\(824\) −2.22260 + 5.15258i −0.0774281 + 0.179498i
\(825\) 8.82698 4.43308i 0.307316 0.154340i
\(826\) −3.14791 + 2.07041i −0.109530 + 0.0720389i
\(827\) −33.0092 44.3390i −1.14784 1.54182i −0.795506 0.605945i \(-0.792795\pi\)
−0.352335 0.935874i \(-0.614612\pi\)
\(828\) 1.78026 1.49382i 0.0618684 0.0519137i
\(829\) 41.2305 27.1177i 1.43200 0.941838i 0.432810 0.901485i \(-0.357522\pi\)
0.999185 0.0403532i \(-0.0128483\pi\)
\(830\) 13.8565 3.28405i 0.480966 0.113991i
\(831\) −0.921470 + 0.107704i −0.0319654 + 0.00373622i
\(832\) −1.35302 1.13532i −0.0469076 0.0393602i
\(833\) 6.93639 + 16.0803i 0.240332 + 0.557151i
\(834\) 1.81449 6.06083i 0.0628308 0.209870i
\(835\) 1.66350 5.55648i 0.0575679 0.192290i
\(836\) −5.79075 + 2.10766i −0.200277 + 0.0728950i
\(837\) 0.406130 2.30328i 0.0140379 0.0796129i
\(838\) 7.90748 13.6962i 0.273159 0.473126i
\(839\) −1.05219 0.122984i −0.0363257 0.00424587i 0.0979106 0.995195i \(-0.468784\pi\)
−0.134236 + 0.990949i \(0.542858\pi\)
\(840\) −1.82875 1.53450i −0.0630978 0.0529453i
\(841\) −1.36735 + 23.4764i −0.0471499 + 0.809532i
\(842\) 0.495814 + 2.81190i 0.0170869 + 0.0969044i
\(843\) −2.44757 + 13.8809i −0.0842988 + 0.478082i
\(844\) 3.19630 + 3.38788i 0.110021 + 0.116616i
\(845\) −16.1448 + 27.9636i −0.555398 + 0.961978i
\(846\) −2.49984 0.909866i −0.0859462 0.0312819i
\(847\) −3.47925 + 4.67344i −0.119548 + 0.160581i
\(848\) −3.87957 + 8.99386i −0.133225 + 0.308850i
\(849\) −5.23923 + 0.612378i −0.179810 + 0.0210168i
\(850\) −12.8526 8.45329i −0.440841 0.289945i
\(851\) 1.06064 + 0.386041i 0.0363582 + 0.0132333i
\(852\) 1.05731 + 5.99628i 0.0362227 + 0.205429i
\(853\) 12.4883 + 21.6304i 0.427591 + 0.740610i 0.996658 0.0816813i \(-0.0260290\pi\)
−0.569067 + 0.822291i \(0.692696\pi\)
\(854\) −1.71571 + 5.73086i −0.0587103 + 0.196106i
\(855\) −5.79052 10.0295i −0.198032 0.343001i
\(856\) −0.635830 + 10.9168i −0.0217322 + 0.373128i
\(857\) 1.03020 2.38828i 0.0351911 0.0815822i −0.899714 0.436480i \(-0.856225\pi\)
0.934905 + 0.354898i \(0.115484\pi\)
\(858\) 2.74474 + 1.37846i 0.0937038 + 0.0470598i
\(859\) −4.83950 6.50058i −0.165122 0.221797i 0.711859 0.702322i \(-0.247853\pi\)
−0.876981 + 0.480525i \(0.840446\pi\)
\(860\) −9.39478 + 9.95788i −0.320359 + 0.339561i
\(861\) 1.32410 + 4.42280i 0.0451252 + 0.150729i
\(862\) −0.0176330 + 0.0186899i −0.000600584 + 0.000636582i
\(863\) −8.05127 + 6.75582i −0.274068 + 0.229971i −0.769454 0.638703i \(-0.779471\pi\)
0.495385 + 0.868673i \(0.335027\pi\)
\(864\) 0.893633 + 0.448799i 0.0304020 + 0.0152685i
\(865\) 1.12010 0.130921i 0.0380847 0.00445146i
\(866\) 5.07830 + 0.593568i 0.172568 + 0.0201703i
\(867\) −6.63279 7.03035i −0.225262 0.238763i
\(868\) 0.854231 1.47957i 0.0289945 0.0502199i
\(869\) 5.57365 + 3.66585i 0.189073 + 0.124355i
\(870\) 23.0446 5.46167i 0.781285 0.185168i
\(871\) −2.49272 3.34830i −0.0844625 0.113453i
\(872\) 0.440572 + 1.47161i 0.0149196 + 0.0498351i
\(873\) 10.9327 0.370018
\(874\) 8.23547 0.278569
\(875\) 0.465706 + 1.55557i 0.0157437 + 0.0525877i
\(876\) 3.95373 3.31758i 0.133584 0.112091i
\(877\) 41.0017 20.5918i 1.38453 0.695337i 0.408456 0.912778i \(-0.366067\pi\)
0.976074 + 0.217441i \(0.0697709\pi\)
\(878\) 4.46051 5.99151i 0.150535 0.202204i
\(879\) −3.71785 21.0850i −0.125400 0.711178i
\(880\) −5.34030 + 1.94371i −0.180022 + 0.0655225i
\(881\) −10.3254 23.9369i −0.347871 0.806456i −0.998877 0.0473829i \(-0.984912\pi\)
0.651006 0.759073i \(-0.274347\pi\)
\(882\) −0.375987 + 6.45545i −0.0126602 + 0.217366i
\(883\) 9.89244 13.2879i 0.332907 0.447172i −0.603878 0.797077i \(-0.706379\pi\)
0.936785 + 0.349905i \(0.113786\pi\)
\(884\) −0.278132 4.77534i −0.00935459 0.160612i
\(885\) −16.4019 + 3.88732i −0.551344 + 0.130671i
\(886\) 4.41009 + 2.21483i 0.148160 + 0.0744087i
\(887\) 44.2102 22.2032i 1.48443 0.745511i 0.492269 0.870443i \(-0.336168\pi\)
0.992165 + 0.124932i \(0.0398713\pi\)
\(888\) 0.0282399 + 0.484860i 0.000947668 + 0.0162708i
\(889\) 10.8723 + 7.15086i 0.364647 + 0.239832i
\(890\) −38.7903 4.53394i −1.30026 0.151978i
\(891\) −1.69209 0.401033i −0.0566872 0.0134351i
\(892\) −8.64202 + 3.14544i −0.289356 + 0.105317i
\(893\) −4.71362 8.16423i −0.157735 0.273205i
\(894\) 4.07669 + 9.45082i 0.136345 + 0.316083i
\(895\) −33.8130 8.01383i −1.13024 0.267873i
\(896\) 0.501288 + 0.531335i 0.0167469 + 0.0177506i
\(897\) −2.81682 2.98565i −0.0940507 0.0996880i
\(898\) −10.4850 2.48500i −0.349891 0.0829256i
\(899\) 6.71312 + 15.5628i 0.223895 + 0.519047i
\(900\) −2.84009 4.91919i −0.0946698 0.163973i
\(901\) −24.9273 + 9.07280i −0.830449 + 0.302259i
\(902\) 10.6942 + 2.53458i 0.356079 + 0.0843923i
\(903\) −3.03937 0.355252i −0.101144 0.0118220i
\(904\) 12.5993 + 8.28668i 0.419046 + 0.275611i
\(905\) −0.726300 12.4701i −0.0241430 0.414520i
\(906\) 6.63894 3.33420i 0.220564 0.110771i
\(907\) 27.1035 + 13.6119i 0.899956 + 0.451975i 0.837728 0.546087i \(-0.183883\pi\)
0.0622278 + 0.998062i \(0.480179\pi\)
\(908\) −0.350670 + 0.0831104i −0.0116374 + 0.00275812i
\(909\) 0.619495 + 10.6363i 0.0205474 + 0.352785i
\(910\) −2.51791 + 3.38215i −0.0834680 + 0.112117i
\(911\) 0.751109 12.8960i 0.0248853 0.427265i −0.962740 0.270430i \(-0.912834\pi\)
0.987625 0.156835i \(-0.0501289\pi\)
\(912\) 1.40359 + 3.25389i 0.0464776 + 0.107747i
\(913\) 7.12046 2.59164i 0.235653 0.0857706i
\(914\) −5.71388 32.4050i −0.188998 1.07186i
\(915\) −15.9819 + 21.4674i −0.528344 + 0.709689i
\(916\) −0.375598 + 0.188633i −0.0124101 + 0.00623260i
\(917\) 7.53389 6.32168i 0.248791 0.208760i
\(918\) 0.776734 + 2.59447i 0.0256361 + 0.0856304i
\(919\) −17.2869 −0.570241 −0.285121 0.958492i \(-0.592034\pi\)
−0.285121 + 0.958492i \(0.592034\pi\)
\(920\) 7.59485 0.250395
\(921\) −7.37734 24.6420i −0.243092 0.811983i
\(922\) −22.4587 30.1673i −0.739639 0.993508i
\(923\) 10.4644 2.48011i 0.344440 0.0816338i
\(924\) −1.06131 0.698033i −0.0349145 0.0229636i
\(925\) 1.37938 2.38916i 0.0453538 0.0785550i
\(926\) −10.9030 11.5565i −0.358294 0.379769i
\(927\) −5.57356 0.651456i −0.183060 0.0213966i
\(928\) −7.19781 + 0.841303i −0.236280 + 0.0276171i
\(929\) −4.24078 2.12980i −0.139136 0.0698765i 0.377869 0.925859i \(-0.376657\pi\)
−0.517005 + 0.855982i \(0.672953\pi\)
\(930\) 5.85515 4.91306i 0.191998 0.161105i
\(931\) −15.7253 + 16.6678i −0.515374 + 0.546265i
\(932\) −3.08122 10.2920i −0.100929 0.337125i
\(933\) 2.51186 2.66241i 0.0822345 0.0871635i
\(934\) −16.1036 21.6308i −0.526925 0.707782i
\(935\) −13.7540 6.90750i −0.449802 0.225899i
\(936\) 0.699575 1.62180i 0.0228663 0.0530101i
\(937\) −2.56724 + 44.0777i −0.0838680 + 1.43996i 0.649622 + 0.760257i \(0.274927\pi\)
−0.733490 + 0.679700i \(0.762110\pi\)
\(938\) 0.863202 + 1.49511i 0.0281846 + 0.0488171i
\(939\) 1.06894 3.57049i 0.0348834 0.116519i
\(940\) −4.34696 7.52915i −0.141782 0.245574i
\(941\) 9.78333 + 55.4840i 0.318927 + 1.80873i 0.549300 + 0.835625i \(0.314894\pi\)
−0.230373 + 0.973102i \(0.573995\pi\)
\(942\) 13.2904 + 4.83731i 0.433024 + 0.157608i
\(943\) −12.2715 8.07107i −0.399614 0.262830i
\(944\) 5.12301 0.598794i 0.166740 0.0194891i
\(945\) 0.945546 2.19202i 0.0307586 0.0713065i
\(946\) −4.35011 + 5.84321i −0.141434 + 0.189979i
\(947\) 52.3478 + 19.0531i 1.70108 + 0.619141i 0.995947 0.0899386i \(-0.0286671\pi\)
0.705129 + 0.709080i \(0.250889\pi\)
\(948\) 1.91813 3.32230i 0.0622981 0.107903i
\(949\) −6.25579 6.63075i −0.203071 0.215243i
\(950\) 3.49535 19.8231i 0.113404 0.643148i
\(951\) −2.64494 15.0002i −0.0857680 0.486414i
\(952\) −0.115030 + 1.97498i −0.00372813 + 0.0640096i
\(953\) −31.1842 26.1667i −1.01016 0.847621i −0.0217970 0.999762i \(-0.506939\pi\)
−0.988359 + 0.152141i \(0.951383\pi\)
\(954\) −9.72870 1.13712i −0.314978 0.0368157i
\(955\) −9.33085 + 16.1615i −0.301939 + 0.522974i
\(956\) 5.04177 28.5933i 0.163062 0.924773i
\(957\) 11.8420 4.31012i 0.382796 0.139326i
\(958\) 5.77387 19.2861i 0.186545 0.623105i
\(959\) 2.86142 9.55780i 0.0924000 0.308638i
\(960\) 1.29441 + 3.00078i 0.0417769 + 0.0968498i
\(961\) −19.5571 16.4103i −0.630874 0.529366i
\(962\) 0.852033 0.0995884i 0.0274706 0.00321086i
\(963\) −10.6405 + 2.52185i −0.342886 + 0.0812654i
\(964\) 6.98472 4.59392i 0.224963 0.147960i
\(965\) −36.0082 + 30.2145i −1.15914 + 0.972638i
\(966\) 1.01375 + 1.36170i 0.0326168 + 0.0438120i
\(967\) 14.8838 9.78924i 0.478632 0.314801i −0.287168 0.957880i \(-0.592714\pi\)
0.765800 + 0.643079i \(0.222343\pi\)
\(968\) 7.12762 3.57962i 0.229090 0.115053i
\(969\) −3.80128 + 8.81235i −0.122115 + 0.283094i
\(970\) 27.3699 + 22.9661i 0.878794 + 0.737395i
\(971\) 11.8727 + 2.81389i 0.381014 + 0.0903019i 0.416660 0.909063i \(-0.363201\pi\)
−0.0356459 + 0.999364i \(0.511349\pi\)
\(972\) −0.173648 + 0.984808i −0.00556977 + 0.0315877i
\(973\) 4.34278 + 1.58064i 0.139223 + 0.0506731i
\(974\) 1.03357 + 17.7457i 0.0331177 + 0.568609i
\(975\) −8.38212 + 5.51301i −0.268443 + 0.176558i
\(976\) 5.61986 5.95670i 0.179887 0.190669i
\(977\) 41.2249 1.31890 0.659451 0.751748i \(-0.270789\pi\)
0.659451 + 0.751748i \(0.270789\pi\)
\(978\) 10.8346 6.75370i 0.346451 0.215960i
\(979\) −20.7812 −0.664171
\(980\) −14.5020 + 15.3712i −0.463250 + 0.491016i
\(981\) −1.28343 + 0.844126i −0.0409768 + 0.0269509i
\(982\) −1.15240 19.7859i −0.0367744 0.631393i
\(983\) −6.54611 2.38259i −0.208788 0.0759928i 0.235509 0.971872i \(-0.424324\pi\)
−0.444297 + 0.895879i \(0.646547\pi\)
\(984\) 1.09748 6.22411i 0.0349864 0.198417i
\(985\) 9.41797 + 2.23210i 0.300081 + 0.0711206i
\(986\) −15.0345 12.6154i −0.478796 0.401758i
\(987\) 0.769696 1.78436i 0.0244997 0.0567967i
\(988\) 5.59331 2.80907i 0.177947 0.0893683i
\(989\) 8.13374 5.34964i 0.258638 0.170109i
\(990\) −3.39367 4.55849i −0.107858 0.144878i
\(991\) −9.15796 + 7.68444i −0.290912 + 0.244104i −0.776550 0.630056i \(-0.783032\pi\)
0.485638 + 0.874160i \(0.338588\pi\)
\(992\) −1.95405 + 1.28520i −0.0620411 + 0.0408050i
\(993\) −17.9923 + 4.26426i −0.570969 + 0.135322i
\(994\) −4.41768 + 0.516353i −0.140120 + 0.0163777i
\(995\) 28.5410 + 23.9488i 0.904812 + 0.759227i
\(996\) −1.72589 4.00107i −0.0546871 0.126779i
\(997\) −10.0686 + 33.6313i −0.318874 + 1.06511i 0.636883 + 0.770960i \(0.280223\pi\)
−0.955758 + 0.294155i \(0.904962\pi\)
\(998\) 7.32345 24.4620i 0.231820 0.774332i
\(999\) −0.456391 + 0.166113i −0.0144396 + 0.00525558i
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 978.2.m.d.403.7 yes 126
163.36 even 27 inner 978.2.m.d.199.7 126
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
978.2.m.d.199.7 126 163.36 even 27 inner
978.2.m.d.403.7 yes 126 1.1 even 1 trivial