Properties

Label 966.2.be.a.493.15
Level $966$
Weight $2$
Character 966.493
Analytic conductor $7.714$
Analytic rank $0$
Dimension $320$
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] = [966,2,Mod(19,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 55, 45]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.be (of order \(66\), degree \(20\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 493.15
Character \(\chi\) \(=\) 966.493
Dual form 966.2.be.a.145.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.327068 - 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(2.83174 - 0.270399i) q^{5} +(0.989821 - 0.142315i) q^{6} +(-2.45941 + 0.975348i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(0.327068 - 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(2.83174 - 0.270399i) q^{5} +(0.989821 - 0.142315i) q^{6} +(-2.45941 + 0.975348i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.670645 - 2.76444i) q^{10} +(-3.27177 + 1.13237i) q^{11} +(0.189251 - 0.981929i) q^{12} +(0.851108 + 2.89861i) q^{13} +(0.117310 + 2.64315i) q^{14} +(1.53792 + 2.39305i) q^{15} +(0.235759 + 0.971812i) q^{16} +(6.93017 + 2.77442i) q^{17} +(0.580057 + 0.814576i) q^{18} +(6.31006 - 2.52617i) q^{19} +(-2.39305 - 1.53792i) q^{20} +(-1.99389 - 1.73908i) q^{21} +3.46219i q^{22} +(4.78379 + 0.339664i) q^{23} +(-0.866025 - 0.500000i) q^{24} +(3.03601 - 0.585142i) q^{25} +(3.01756 + 0.143744i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(2.53615 + 0.753631i) q^{28} +(0.579472 + 4.03032i) q^{29} +(2.76444 - 0.670645i) q^{30} +(4.31014 - 0.205317i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(-2.50571 - 2.38919i) q^{33} +(4.88847 - 5.64159i) q^{34} +(-6.70068 + 3.42695i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-7.50414 - 5.34367i) q^{37} +(-0.323411 - 6.78924i) q^{38} +(-2.18639 + 2.08471i) q^{39} +(-2.23602 + 1.75843i) q^{40} +(8.26630 + 3.77509i) q^{41} +(-2.29557 + 1.31543i) q^{42} +(-3.81554 + 5.93710i) q^{43} +(3.27177 + 1.13237i) q^{44} +(-1.42231 + 2.46352i) q^{45} +(1.88561 - 4.40959i) q^{46} +(-5.20384 + 3.00444i) q^{47} +(-0.755750 + 0.654861i) q^{48} +(5.09739 - 4.79756i) q^{49} +(0.440021 - 3.06041i) q^{50} +(0.709583 + 7.43109i) q^{51} +(1.12278 - 2.80458i) q^{52} +(-5.12054 - 5.37026i) q^{53} +(-0.458227 + 0.888835i) q^{54} +(-8.95863 + 4.09127i) q^{55} +(1.54167 - 2.15017i) q^{56} +(5.13679 + 4.45105i) q^{57} +(3.99818 + 0.770586i) q^{58} +(-10.2023 - 2.47505i) q^{59} +(0.270399 - 2.83174i) q^{60} +(6.13515 + 3.16289i) q^{61} +(1.21568 - 4.14023i) q^{62} +(0.632103 - 2.56913i) q^{63} +(0.415415 - 0.909632i) q^{64} +(3.19390 + 7.97797i) q^{65} +(-3.07732 + 1.58647i) q^{66} +(0.581400 + 3.01659i) q^{67} +(-3.73245 - 6.46479i) q^{68} +(1.89015 + 4.40764i) q^{69} +(1.04690 + 7.45300i) q^{70} +(-3.22015 - 3.71625i) q^{71} +(0.0475819 - 0.998867i) q^{72} +(6.27250 - 7.97613i) q^{73} +(-7.50414 + 5.34367i) q^{74} +(1.91127 + 2.43038i) q^{75} +(-6.52162 - 1.91492i) q^{76} +(6.94218 - 5.97608i) q^{77} +(1.25496 + 2.74798i) q^{78} +(-2.85514 + 2.99439i) q^{79} +(0.930385 + 2.68817i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(6.27110 - 6.57695i) q^{82} +(-5.52751 - 12.1036i) q^{83} +(0.492276 + 2.59955i) q^{84} +(20.3746 + 5.98254i) q^{85} +(4.36262 + 5.54753i) q^{86} +(-3.31676 + 2.36185i) q^{87} +(2.14018 - 2.72147i) q^{88} +(-0.491852 + 10.3252i) q^{89} +(1.86283 + 2.14982i) q^{90} +(-4.92037 - 6.29874i) q^{91} +(-3.55034 - 3.22414i) q^{92} +(2.15751 + 3.73692i) q^{93} +(1.13719 + 5.90028i) q^{94} +(17.1854 - 8.85969i) q^{95} +(0.371662 + 0.928368i) q^{96} +(0.150140 - 0.328760i) q^{97} +(-2.86650 - 6.38617i) q^{98} +(0.975412 - 3.32195i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.327068 0.945001i 0.231272 0.668216i
\(3\) 0.458227 + 0.888835i 0.264557 + 0.513169i
\(4\) −0.786053 0.618159i −0.393027 0.309079i
\(5\) 2.83174 0.270399i 1.26639 0.120926i 0.559849 0.828594i \(-0.310859\pi\)
0.706545 + 0.707669i \(0.250253\pi\)
\(6\) 0.989821 0.142315i 0.404093 0.0580998i
\(7\) −2.45941 + 0.975348i −0.929570 + 0.368647i
\(8\) −0.841254 + 0.540641i −0.297428 + 0.191145i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 0.670645 2.76444i 0.212077 0.874192i
\(11\) −3.27177 + 1.13237i −0.986477 + 0.341423i −0.772221 0.635355i \(-0.780854\pi\)
−0.214256 + 0.976777i \(0.568733\pi\)
\(12\) 0.189251 0.981929i 0.0546321 0.283458i
\(13\) 0.851108 + 2.89861i 0.236055 + 0.803929i 0.989263 + 0.146147i \(0.0466872\pi\)
−0.753208 + 0.657782i \(0.771495\pi\)
\(14\) 0.117310 + 2.64315i 0.0313525 + 0.706411i
\(15\) 1.53792 + 2.39305i 0.397089 + 0.617883i
\(16\) 0.235759 + 0.971812i 0.0589397 + 0.242953i
\(17\) 6.93017 + 2.77442i 1.68081 + 0.672896i 0.998317 0.0579940i \(-0.0184704\pi\)
0.682495 + 0.730890i \(0.260895\pi\)
\(18\) 0.580057 + 0.814576i 0.136721 + 0.191997i
\(19\) 6.31006 2.52617i 1.44763 0.579543i 0.491079 0.871115i \(-0.336603\pi\)
0.956549 + 0.291572i \(0.0941784\pi\)
\(20\) −2.39305 1.53792i −0.535102 0.343889i
\(21\) −1.99389 1.73908i −0.435103 0.379498i
\(22\) 3.46219i 0.738142i
\(23\) 4.78379 + 0.339664i 0.997489 + 0.0708249i
\(24\) −0.866025 0.500000i −0.176777 0.102062i
\(25\) 3.03601 0.585142i 0.607201 0.117028i
\(26\) 3.01756 + 0.143744i 0.591792 + 0.0281905i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) 2.53615 + 0.753631i 0.479287 + 0.142423i
\(29\) 0.579472 + 4.03032i 0.107605 + 0.748411i 0.970163 + 0.242453i \(0.0779519\pi\)
−0.862558 + 0.505958i \(0.831139\pi\)
\(30\) 2.76444 0.670645i 0.504715 0.122443i
\(31\) 4.31014 0.205317i 0.774123 0.0368760i 0.343197 0.939263i \(-0.388490\pi\)
0.430926 + 0.902387i \(0.358187\pi\)
\(32\) 0.995472 + 0.0950560i 0.175976 + 0.0168037i
\(33\) −2.50571 2.38919i −0.436187 0.415904i
\(34\) 4.88847 5.64159i 0.838365 0.967525i
\(35\) −6.70068 + 3.42695i −1.13262 + 0.579261i
\(36\) 0.959493 0.281733i 0.159915 0.0469554i
\(37\) −7.50414 5.34367i −1.23367 0.878494i −0.237985 0.971269i \(-0.576487\pi\)
−0.995687 + 0.0927745i \(0.970426\pi\)
\(38\) −0.323411 6.78924i −0.0524643 1.10136i
\(39\) −2.18639 + 2.08471i −0.350102 + 0.333821i
\(40\) −2.23602 + 1.75843i −0.353547 + 0.278032i
\(41\) 8.26630 + 3.77509i 1.29098 + 0.589570i 0.938186 0.346131i \(-0.112505\pi\)
0.352793 + 0.935702i \(0.385232\pi\)
\(42\) −2.29557 + 1.31543i −0.354214 + 0.202975i
\(43\) −3.81554 + 5.93710i −0.581865 + 0.905400i −0.999996 0.00298729i \(-0.999049\pi\)
0.418130 + 0.908387i \(0.362685\pi\)
\(44\) 3.27177 + 1.13237i 0.493238 + 0.170711i
\(45\) −1.42231 + 2.46352i −0.212026 + 0.367239i
\(46\) 1.88561 4.40959i 0.278018 0.650159i
\(47\) −5.20384 + 3.00444i −0.759057 + 0.438242i −0.828957 0.559312i \(-0.811065\pi\)
0.0698998 + 0.997554i \(0.477732\pi\)
\(48\) −0.755750 + 0.654861i −0.109083 + 0.0945210i
\(49\) 5.09739 4.79756i 0.728199 0.685366i
\(50\) 0.440021 3.06041i 0.0622283 0.432807i
\(51\) 0.709583 + 7.43109i 0.0993615 + 1.04056i
\(52\) 1.12278 2.80458i 0.155702 0.388925i
\(53\) −5.12054 5.37026i −0.703360 0.737662i 0.271020 0.962574i \(-0.412639\pi\)
−0.974379 + 0.224911i \(0.927791\pi\)
\(54\) −0.458227 + 0.888835i −0.0623567 + 0.120955i
\(55\) −8.95863 + 4.09127i −1.20798 + 0.551667i
\(56\) 1.54167 2.15017i 0.206015 0.287329i
\(57\) 5.13679 + 4.45105i 0.680384 + 0.589556i
\(58\) 3.99818 + 0.770586i 0.524987 + 0.101183i
\(59\) −10.2023 2.47505i −1.32823 0.322224i −0.491994 0.870599i \(-0.663732\pi\)
−0.836233 + 0.548374i \(0.815247\pi\)
\(60\) 0.270399 2.83174i 0.0349083 0.365576i
\(61\) 6.13515 + 3.16289i 0.785526 + 0.404967i 0.803825 0.594866i \(-0.202795\pi\)
−0.0182991 + 0.999833i \(0.505825\pi\)
\(62\) 1.21568 4.14023i 0.154392 0.525810i
\(63\) 0.632103 2.56913i 0.0796375 0.323680i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) 3.19390 + 7.97797i 0.396154 + 0.989546i
\(66\) −3.07732 + 1.58647i −0.378792 + 0.195281i
\(67\) 0.581400 + 3.01659i 0.0710293 + 0.368535i 0.999999 0.00162154i \(-0.000516153\pi\)
−0.928969 + 0.370157i \(0.879304\pi\)
\(68\) −3.73245 6.46479i −0.452626 0.783971i
\(69\) 1.89015 + 4.40764i 0.227548 + 0.530618i
\(70\) 1.04690 + 7.45300i 0.125128 + 0.890804i
\(71\) −3.22015 3.71625i −0.382162 0.441038i 0.531781 0.846882i \(-0.321523\pi\)
−0.913942 + 0.405844i \(0.866978\pi\)
\(72\) 0.0475819 0.998867i 0.00560758 0.117718i
\(73\) 6.27250 7.97613i 0.734140 0.933535i −0.265391 0.964141i \(-0.585501\pi\)
0.999532 + 0.0306055i \(0.00974356\pi\)
\(74\) −7.50414 + 5.34367i −0.872338 + 0.621189i
\(75\) 1.91127 + 2.43038i 0.220695 + 0.280636i
\(76\) −6.52162 1.91492i −0.748081 0.219656i
\(77\) 6.94218 5.97608i 0.791134 0.681038i
\(78\) 1.25496 + 2.74798i 0.142096 + 0.311147i
\(79\) −2.85514 + 2.99439i −0.321228 + 0.336895i −0.864472 0.502680i \(-0.832347\pi\)
0.543244 + 0.839575i \(0.317196\pi\)
\(80\) 0.930385 + 2.68817i 0.104020 + 0.300547i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) 6.27110 6.57695i 0.692528 0.726302i
\(83\) −5.52751 12.1036i −0.606723 1.32854i −0.924793 0.380472i \(-0.875762\pi\)
0.318069 0.948068i \(-0.396966\pi\)
\(84\) 0.492276 + 2.59955i 0.0537117 + 0.283634i
\(85\) 20.3746 + 5.98254i 2.20994 + 0.648897i
\(86\) 4.36262 + 5.54753i 0.470434 + 0.598205i
\(87\) −3.31676 + 2.36185i −0.355594 + 0.253217i
\(88\) 2.14018 2.72147i 0.228144 0.290109i
\(89\) −0.491852 + 10.3252i −0.0521362 + 1.09447i 0.809556 + 0.587043i \(0.199708\pi\)
−0.861692 + 0.507431i \(0.830595\pi\)
\(90\) 1.86283 + 2.14982i 0.196360 + 0.226611i
\(91\) −4.92037 6.29874i −0.515795 0.660287i
\(92\) −3.55034 3.22414i −0.370149 0.336139i
\(93\) 2.15751 + 3.73692i 0.223724 + 0.387501i
\(94\) 1.13719 + 5.90028i 0.117292 + 0.608568i
\(95\) 17.1854 8.85969i 1.76318 0.908985i
\(96\) 0.371662 + 0.928368i 0.0379326 + 0.0947512i
\(97\) 0.150140 0.328760i 0.0152444 0.0333805i −0.901857 0.432035i \(-0.857796\pi\)
0.917101 + 0.398655i \(0.130523\pi\)
\(98\) −2.86650 6.38617i −0.289561 0.645101i
\(99\) 0.975412 3.32195i 0.0980326 0.333868i
\(100\) −2.74817 1.41678i −0.274817 0.141678i
\(101\) 1.09276 11.4439i 0.108734 1.13871i −0.762211 0.647329i \(-0.775886\pi\)
0.870945 0.491381i \(-0.163508\pi\)
\(102\) 7.25447 + 1.75992i 0.718299 + 0.174258i
\(103\) 5.32176 + 1.02569i 0.524369 + 0.101064i 0.444565 0.895747i \(-0.353358\pi\)
0.0798040 + 0.996811i \(0.474571\pi\)
\(104\) −2.28310 1.97832i −0.223877 0.193990i
\(105\) −6.11643 4.38548i −0.596902 0.427979i
\(106\) −6.74967 + 3.08247i −0.655586 + 0.299396i
\(107\) 6.34179 12.3013i 0.613084 1.18922i −0.354117 0.935201i \(-0.615218\pi\)
0.967200 0.254015i \(-0.0817513\pi\)
\(108\) 0.690079 + 0.723734i 0.0664029 + 0.0696413i
\(109\) −2.02978 + 5.07013i −0.194417 + 0.485631i −0.993260 0.115909i \(-0.963022\pi\)
0.798843 + 0.601540i \(0.205446\pi\)
\(110\) 0.936172 + 9.80403i 0.0892605 + 0.934778i
\(111\) 1.31105 9.11856i 0.124439 0.865495i
\(112\) −1.52768 2.16014i −0.144352 0.204114i
\(113\) 6.62659 5.74197i 0.623377 0.540159i −0.284885 0.958562i \(-0.591955\pi\)
0.908262 + 0.418402i \(0.137410\pi\)
\(114\) 5.88632 3.39847i 0.551305 0.318296i
\(115\) 13.6383 0.331688i 1.27178 0.0309300i
\(116\) 2.03588 3.52625i 0.189027 0.327404i
\(117\) −2.85483 0.988065i −0.263929 0.0913467i
\(118\) −5.67578 + 8.83168i −0.522497 + 0.813022i
\(119\) −19.7501 0.0641141i −1.81049 0.00587733i
\(120\) −2.58756 1.18170i −0.236211 0.107874i
\(121\) 0.775653 0.609980i 0.0705139 0.0554528i
\(122\) 4.99555 4.76324i 0.452276 0.431244i
\(123\) 0.432401 + 9.07722i 0.0389883 + 0.818466i
\(124\) −3.51491 2.50296i −0.315649 0.224772i
\(125\) −5.20801 + 1.52921i −0.465819 + 0.136777i
\(126\) −2.22109 1.43762i −0.197871 0.128073i
\(127\) −10.5549 + 12.1810i −0.936593 + 1.08089i 0.0599822 + 0.998199i \(0.480896\pi\)
−0.996576 + 0.0826870i \(0.973650\pi\)
\(128\) −0.723734 0.690079i −0.0639697 0.0609949i
\(129\) −7.02549 0.670853i −0.618560 0.0590653i
\(130\) 8.58381 0.408897i 0.752850 0.0358627i
\(131\) −18.6551 + 4.52567i −1.62990 + 0.395410i −0.943384 0.331703i \(-0.892377\pi\)
−0.686518 + 0.727113i \(0.740862\pi\)
\(132\) 0.492721 + 3.42695i 0.0428859 + 0.298278i
\(133\) −13.0551 + 12.3674i −1.13202 + 1.07239i
\(134\) 3.04084 + 0.437206i 0.262688 + 0.0377689i
\(135\) −2.84140 0.135353i −0.244549 0.0116493i
\(136\) −7.32999 + 1.41274i −0.628542 + 0.121141i
\(137\) −11.8352 6.83307i −1.01115 0.583788i −0.0996226 0.995025i \(-0.531764\pi\)
−0.911528 + 0.411237i \(0.865097\pi\)
\(138\) 4.78344 0.344597i 0.407193 0.0293340i
\(139\) 15.3979i 1.30604i 0.757342 + 0.653018i \(0.226497\pi\)
−0.757342 + 0.653018i \(0.773503\pi\)
\(140\) 7.38550 + 1.44832i 0.624188 + 0.122405i
\(141\) −5.05498 3.24864i −0.425706 0.273585i
\(142\) −4.56507 + 1.82758i −0.383092 + 0.153367i
\(143\) −6.06694 8.51982i −0.507343 0.712463i
\(144\) −0.928368 0.371662i −0.0773640 0.0309719i
\(145\) 2.73071 + 11.2561i 0.226773 + 0.934771i
\(146\) −5.48592 8.53625i −0.454018 0.706465i
\(147\) 6.60000 + 2.33238i 0.544359 + 0.192371i
\(148\) 2.59541 + 8.83916i 0.213342 + 0.726574i
\(149\) 1.30458 6.76880i 0.106875 0.554522i −0.888534 0.458811i \(-0.848275\pi\)
0.995409 0.0957108i \(-0.0305124\pi\)
\(150\) 2.92183 1.01126i 0.238566 0.0825687i
\(151\) 2.97646 12.2691i 0.242221 0.998447i −0.712672 0.701497i \(-0.752515\pi\)
0.954893 0.296950i \(-0.0959695\pi\)
\(152\) −3.94261 + 5.53663i −0.319788 + 0.449080i
\(153\) −6.27987 + 4.03583i −0.507697 + 0.326277i
\(154\) −3.37684 8.51495i −0.272114 0.686154i
\(155\) 12.1497 1.74686i 0.975886 0.140311i
\(156\) 3.00730 0.287162i 0.240777 0.0229914i
\(157\) 15.9992 + 12.5819i 1.27688 + 1.00415i 0.999053 + 0.0435135i \(0.0138551\pi\)
0.277823 + 0.960632i \(0.410387\pi\)
\(158\) 1.89587 + 3.67748i 0.150827 + 0.292564i
\(159\) 2.42692 7.01211i 0.192467 0.556097i
\(160\) 2.84462 0.224887
\(161\) −12.0966 + 3.83048i −0.953345 + 0.301884i
\(162\) −1.00000 −0.0785674
\(163\) 1.98185 5.72619i 0.155231 0.448510i −0.840391 0.541980i \(-0.817675\pi\)
0.995622 + 0.0934702i \(0.0297960\pi\)
\(164\) −4.16414 8.07731i −0.325165 0.630732i
\(165\) −7.74155 6.08802i −0.602679 0.473952i
\(166\) −13.2458 + 1.26482i −1.02807 + 0.0981688i
\(167\) −8.53927 + 1.22776i −0.660788 + 0.0950070i −0.464547 0.885549i \(-0.653783\pi\)
−0.196241 + 0.980556i \(0.562874\pi\)
\(168\) 2.61759 + 0.385029i 0.201951 + 0.0297056i
\(169\) 3.25875 2.09427i 0.250673 0.161098i
\(170\) 12.3174 17.2974i 0.944701 1.32665i
\(171\) −1.60244 + 6.60535i −0.122542 + 0.505123i
\(172\) 6.66929 2.30827i 0.508529 0.176004i
\(173\) 3.19896 16.5978i 0.243212 1.26190i −0.630779 0.775962i \(-0.717265\pi\)
0.873991 0.485942i \(-0.161523\pi\)
\(174\) 1.14715 + 3.90683i 0.0869650 + 0.296176i
\(175\) −6.89607 + 4.40027i −0.521294 + 0.332629i
\(176\) −1.87180 2.91258i −0.141092 0.219544i
\(177\) −2.47505 10.2023i −0.186036 0.766852i
\(178\) 9.59650 + 3.84186i 0.719288 + 0.287959i
\(179\) 6.33486 + 8.89607i 0.473490 + 0.664924i 0.980387 0.197083i \(-0.0631469\pi\)
−0.506897 + 0.862007i \(0.669207\pi\)
\(180\) 2.64086 1.05724i 0.196838 0.0788020i
\(181\) −4.38533 2.81828i −0.325959 0.209481i 0.367419 0.930056i \(-0.380242\pi\)
−0.693377 + 0.720575i \(0.743878\pi\)
\(182\) −7.56161 + 2.58964i −0.560504 + 0.191957i
\(183\) 6.90246i 0.510245i
\(184\) −4.20802 + 2.30057i −0.310219 + 0.169600i
\(185\) −22.6947 13.1028i −1.66855 0.963337i
\(186\) 4.23705 0.816624i 0.310675 0.0598777i
\(187\) −25.8156 1.22975i −1.88782 0.0899282i
\(188\) 5.94771 + 0.855152i 0.433781 + 0.0623683i
\(189\) 2.57318 0.615410i 0.187172 0.0447645i
\(190\) −2.75162 19.1379i −0.199624 1.38841i
\(191\) 10.7227 2.60130i 0.775867 0.188223i 0.171773 0.985137i \(-0.445050\pi\)
0.604094 + 0.796913i \(0.293535\pi\)
\(192\) 0.998867 0.0475819i 0.0720870 0.00343393i
\(193\) 1.01615 + 0.0970301i 0.0731438 + 0.00698438i 0.131564 0.991308i \(-0.458000\pi\)
−0.0584200 + 0.998292i \(0.518606\pi\)
\(194\) −0.261572 0.249409i −0.0187798 0.0179065i
\(195\) −5.62758 + 6.49457i −0.402999 + 0.465086i
\(196\) −6.97248 + 0.620137i −0.498034 + 0.0442955i
\(197\) −5.00621 + 1.46996i −0.356678 + 0.104730i −0.455162 0.890409i \(-0.650419\pi\)
0.0984843 + 0.995139i \(0.468601\pi\)
\(198\) −2.82022 2.00827i −0.200424 0.142721i
\(199\) −0.580254 12.1810i −0.0411331 0.863490i −0.921306 0.388837i \(-0.872877\pi\)
0.880173 0.474652i \(-0.157426\pi\)
\(200\) −2.23770 + 2.13364i −0.158229 + 0.150871i
\(201\) −2.41484 + 1.89905i −0.170330 + 0.133949i
\(202\) −10.4571 4.77559i −0.735758 0.336009i
\(203\) −5.35612 9.34701i −0.375926 0.656032i
\(204\) 4.03583 6.27987i 0.282564 0.439679i
\(205\) 24.4288 + 8.45489i 1.70618 + 0.590515i
\(206\) 2.70985 4.69360i 0.188804 0.327019i
\(207\) −3.05155 + 3.69973i −0.212098 + 0.257149i
\(208\) −2.61624 + 1.51049i −0.181404 + 0.104734i
\(209\) −17.7845 + 15.4104i −1.23018 + 1.06596i
\(210\) −6.14477 + 4.34568i −0.424030 + 0.299880i
\(211\) 2.09316 14.5583i 0.144099 1.00223i −0.781548 0.623845i \(-0.785570\pi\)
0.925647 0.378387i \(-0.123521\pi\)
\(212\) 0.705336 + 7.38662i 0.0484427 + 0.507315i
\(213\) 1.82758 4.56507i 0.125224 0.312794i
\(214\) −9.55059 10.0164i −0.652865 0.684705i
\(215\) −9.19925 + 17.8441i −0.627384 + 1.21696i
\(216\) 0.909632 0.415415i 0.0618926 0.0282654i
\(217\) −10.4001 + 4.70884i −0.706007 + 0.319657i
\(218\) 4.12741 + 3.57642i 0.279543 + 0.242226i
\(219\) 9.96369 + 1.92034i 0.673284 + 0.129765i
\(220\) 9.57101 + 2.32190i 0.645278 + 0.156543i
\(221\) −2.14364 + 22.4492i −0.144197 + 1.51009i
\(222\) −8.18824 4.22133i −0.549559 0.283317i
\(223\) 5.23163 17.8173i 0.350336 1.19314i −0.576320 0.817224i \(-0.695512\pi\)
0.926656 0.375911i \(-0.122670\pi\)
\(224\) −2.54099 + 0.737150i −0.169777 + 0.0492529i
\(225\) −1.28441 + 2.81247i −0.0856276 + 0.187498i
\(226\) −3.25882 8.14015i −0.216774 0.541475i
\(227\) 0.649120 0.334645i 0.0430836 0.0222111i −0.436550 0.899680i \(-0.643800\pi\)
0.479634 + 0.877469i \(0.340770\pi\)
\(228\) −1.28633 6.67411i −0.0851893 0.442004i
\(229\) 6.88014 + 11.9168i 0.454652 + 0.787481i 0.998668 0.0515939i \(-0.0164302\pi\)
−0.544016 + 0.839075i \(0.683097\pi\)
\(230\) 4.14721 12.9967i 0.273459 0.856976i
\(231\) 8.49284 + 3.43205i 0.558788 + 0.225812i
\(232\) −2.66644 3.07723i −0.175060 0.202030i
\(233\) 0.224414 4.71104i 0.0147019 0.308630i −0.979524 0.201326i \(-0.935475\pi\)
0.994226 0.107305i \(-0.0342220\pi\)
\(234\) −1.86745 + 2.37465i −0.122079 + 0.155236i
\(235\) −13.9235 + 9.91490i −0.908271 + 0.646777i
\(236\) 6.48958 + 8.25217i 0.422436 + 0.537171i
\(237\) −3.96982 1.16564i −0.257867 0.0757167i
\(238\) −6.52023 + 18.6429i −0.422644 + 1.20844i
\(239\) −8.20068 17.9570i −0.530458 1.16154i −0.965326 0.261046i \(-0.915932\pi\)
0.434869 0.900494i \(-0.356795\pi\)
\(240\) −1.96301 + 2.05875i −0.126712 + 0.132892i
\(241\) −7.90117 22.8289i −0.508959 1.47054i −0.848116 0.529810i \(-0.822263\pi\)
0.339157 0.940730i \(-0.389858\pi\)
\(242\) −0.322741 0.932498i −0.0207466 0.0599432i
\(243\) 0.690079 0.723734i 0.0442686 0.0464276i
\(244\) −2.86739 6.27870i −0.183566 0.401953i
\(245\) 13.1373 14.9638i 0.839308 0.956001i
\(246\) 8.71941 + 2.56025i 0.555929 + 0.163236i
\(247\) 12.6929 + 16.1404i 0.807631 + 1.02699i
\(248\) −3.51491 + 2.50296i −0.223197 + 0.158938i
\(249\) 8.22523 10.4592i 0.521253 0.662827i
\(250\) −0.258269 + 5.42173i −0.0163344 + 0.342900i
\(251\) 1.65148 + 1.90591i 0.104241 + 0.120300i 0.805472 0.592633i \(-0.201912\pi\)
−0.701232 + 0.712933i \(0.747366\pi\)
\(252\) −2.08500 + 1.62874i −0.131343 + 0.102601i
\(253\) −16.0361 + 4.30572i −1.00818 + 0.270698i
\(254\) 8.05887 + 13.9584i 0.505658 + 0.875826i
\(255\) 4.01871 + 20.8511i 0.251662 + 1.30574i
\(256\) −0.888835 + 0.458227i −0.0555522 + 0.0286392i
\(257\) 1.67535 + 4.18482i 0.104505 + 0.261042i 0.971400 0.237450i \(-0.0763116\pi\)
−0.866894 + 0.498492i \(0.833887\pi\)
\(258\) −2.93177 + 6.41968i −0.182524 + 0.399672i
\(259\) 23.6677 + 5.82314i 1.47064 + 0.361832i
\(260\) 2.42108 8.24545i 0.150149 0.511361i
\(261\) −3.61913 1.86579i −0.224018 0.115489i
\(262\) −1.82471 + 19.1093i −0.112731 + 1.18057i
\(263\) −12.2996 2.98386i −0.758428 0.183993i −0.162145 0.986767i \(-0.551841\pi\)
−0.596283 + 0.802774i \(0.703356\pi\)
\(264\) 3.39963 + 0.655224i 0.209232 + 0.0403263i
\(265\) −15.9522 13.8226i −0.979933 0.849117i
\(266\) 7.41727 + 16.3821i 0.454782 + 1.00445i
\(267\) −9.40282 + 4.29413i −0.575443 + 0.262796i
\(268\) 1.40772 2.73060i 0.0859902 0.166798i
\(269\) 12.5449 + 13.1568i 0.764879 + 0.802182i 0.984865 0.173321i \(-0.0554499\pi\)
−0.219987 + 0.975503i \(0.570601\pi\)
\(270\) −1.05724 + 2.64086i −0.0643416 + 0.160717i
\(271\) 2.23461 + 23.4019i 0.135743 + 1.42157i 0.764830 + 0.644232i \(0.222823\pi\)
−0.629087 + 0.777335i \(0.716571\pi\)
\(272\) −1.06237 + 7.38891i −0.0644153 + 0.448019i
\(273\) 3.34390 7.25965i 0.202382 0.439374i
\(274\) −10.3282 + 8.94942i −0.623948 + 0.540654i
\(275\) −9.27053 + 5.35234i −0.559034 + 0.322758i
\(276\) 1.23886 4.63306i 0.0745709 0.278877i
\(277\) 0.937088 1.62308i 0.0563042 0.0975217i −0.836500 0.547968i \(-0.815402\pi\)
0.892804 + 0.450446i \(0.148735\pi\)
\(278\) 14.5511 + 5.03617i 0.872715 + 0.302049i
\(279\) −2.33288 + 3.63003i −0.139666 + 0.217324i
\(280\) 3.78422 6.50560i 0.226150 0.388784i
\(281\) 13.9104 + 6.35268i 0.829826 + 0.378969i 0.784596 0.620008i \(-0.212870\pi\)
0.0452305 + 0.998977i \(0.485598\pi\)
\(282\) −4.72329 + 3.71444i −0.281268 + 0.221192i
\(283\) 21.3611 20.3677i 1.26978 1.21074i 0.303623 0.952792i \(-0.401804\pi\)
0.966160 0.257943i \(-0.0830447\pi\)
\(284\) 0.233975 + 4.91174i 0.0138839 + 0.291458i
\(285\) 15.7496 + 11.2152i 0.932927 + 0.664334i
\(286\) −10.0355 + 2.94670i −0.593414 + 0.174242i
\(287\) −24.0122 1.22198i −1.41740 0.0721314i
\(288\) −0.654861 + 0.755750i −0.0385880 + 0.0445330i
\(289\) 28.0263 + 26.7231i 1.64861 + 1.57194i
\(290\) 11.5302 + 1.10100i 0.677075 + 0.0646529i
\(291\) 0.361011 0.0171971i 0.0211629 0.00100811i
\(292\) −9.86103 + 2.39226i −0.577073 + 0.139996i
\(293\) −0.515635 3.58632i −0.0301237 0.209515i 0.969200 0.246273i \(-0.0792060\pi\)
−0.999324 + 0.0367581i \(0.988297\pi\)
\(294\) 4.36275 5.47416i 0.254440 0.319260i
\(295\) −29.5596 4.25002i −1.72102 0.247446i
\(296\) 9.20189 + 0.438340i 0.534849 + 0.0254780i
\(297\) 3.39963 0.655224i 0.197266 0.0380200i
\(298\) −5.96984 3.44669i −0.345823 0.199661i
\(299\) 3.08697 + 14.1554i 0.178524 + 0.818629i
\(300\) 3.09188i 0.178510i
\(301\) 3.59325 18.3233i 0.207111 1.05613i
\(302\) −10.6208 6.82559i −0.611160 0.392769i
\(303\) 10.6725 4.27261i 0.613117 0.245455i
\(304\) 3.94261 + 5.53663i 0.226124 + 0.317547i
\(305\) 18.2284 + 7.29756i 1.04376 + 0.417857i
\(306\) 1.75992 + 7.25447i 0.100608 + 0.414710i
\(307\) −6.75709 10.5142i −0.385647 0.600079i 0.593105 0.805125i \(-0.297902\pi\)
−0.978752 + 0.205046i \(0.934266\pi\)
\(308\) −9.15109 + 0.406150i −0.521432 + 0.0231426i
\(309\) 1.52691 + 5.20016i 0.0868627 + 0.295827i
\(310\) 2.32299 12.0528i 0.131937 0.684553i
\(311\) −17.2614 + 5.97422i −0.978803 + 0.338767i −0.769192 0.639018i \(-0.779341\pi\)
−0.209611 + 0.977785i \(0.567220\pi\)
\(312\) 0.712223 2.93582i 0.0403217 0.166208i
\(313\) −2.39943 + 3.36952i −0.135624 + 0.190457i −0.876802 0.480851i \(-0.840328\pi\)
0.741179 + 0.671308i \(0.234267\pi\)
\(314\) 17.1227 11.0041i 0.966292 0.620998i
\(315\) 1.09526 7.44604i 0.0617111 0.419537i
\(316\) 4.09530 0.588815i 0.230379 0.0331234i
\(317\) −29.3507 + 2.80265i −1.64850 + 0.157413i −0.877551 0.479483i \(-0.840824\pi\)
−0.770950 + 0.636896i \(0.780218\pi\)
\(318\) −5.83268 4.58687i −0.327081 0.257219i
\(319\) −6.45972 12.5301i −0.361675 0.701551i
\(320\) 0.930385 2.68817i 0.0520101 0.150273i
\(321\) 13.8399 0.772465
\(322\) −0.336596 + 12.6841i −0.0187578 + 0.706858i
\(323\) 50.7384 2.82316
\(324\) −0.327068 + 0.945001i −0.0181704 + 0.0525000i
\(325\) 4.28007 + 8.30218i 0.237416 + 0.460522i
\(326\) −4.76305 3.74571i −0.263801 0.207456i
\(327\) −5.43661 + 0.519134i −0.300645 + 0.0287082i
\(328\) −8.99502 + 1.29329i −0.496667 + 0.0714099i
\(329\) 9.86799 12.4647i 0.544040 0.687200i
\(330\) −8.28520 + 5.32457i −0.456085 + 0.293108i
\(331\) 16.9673 23.8273i 0.932609 1.30967i −0.0181822 0.999835i \(-0.505788\pi\)
0.950791 0.309832i \(-0.100273\pi\)
\(332\) −3.13701 + 12.9309i −0.172166 + 0.709677i
\(333\) 8.70565 3.01306i 0.477067 0.165114i
\(334\) −1.63268 + 8.47117i −0.0893365 + 0.463522i
\(335\) 2.46206 + 8.38499i 0.134517 + 0.458121i
\(336\) 1.21998 2.34769i 0.0665554 0.128077i
\(337\) −4.28247 6.66366i −0.233281 0.362993i 0.704801 0.709405i \(-0.251036\pi\)
−0.938082 + 0.346412i \(0.887400\pi\)
\(338\) −0.913256 3.76449i −0.0496746 0.204761i
\(339\) 8.14015 + 3.25882i 0.442112 + 0.176995i
\(340\) −12.3174 17.2974i −0.668005 0.938081i
\(341\) −13.8693 + 5.55243i −0.751064 + 0.300681i
\(342\) 5.71795 + 3.67470i 0.309191 + 0.198705i
\(343\) −7.85729 + 16.7709i −0.424254 + 0.905543i
\(344\) 7.05745i 0.380512i
\(345\) 6.54425 + 11.9702i 0.352330 + 0.644455i
\(346\) −14.6386 8.45161i −0.786977 0.454361i
\(347\) −32.5666 + 6.27670i −1.74827 + 0.336951i −0.960343 0.278822i \(-0.910056\pi\)
−0.787924 + 0.615772i \(0.788844\pi\)
\(348\) 4.06715 + 0.193742i 0.218022 + 0.0103857i
\(349\) −8.16840 1.17444i −0.437244 0.0628663i −0.0798221 0.996809i \(-0.525435\pi\)
−0.357422 + 0.933943i \(0.616344\pi\)
\(350\) 1.90277 + 7.95598i 0.101708 + 0.425265i
\(351\) −0.429930 2.99023i −0.0229480 0.159607i
\(352\) −3.36460 + 0.816243i −0.179334 + 0.0435059i
\(353\) −30.3723 + 1.44681i −1.61656 + 0.0770061i −0.836234 0.548372i \(-0.815248\pi\)
−0.780322 + 0.625378i \(0.784945\pi\)
\(354\) −10.4507 0.997921i −0.555448 0.0530389i
\(355\) −10.1235 9.65275i −0.537300 0.512315i
\(356\) 6.76926 7.81215i 0.358770 0.414043i
\(357\) −8.99305 17.5840i −0.475963 0.930644i
\(358\) 10.4787 3.07683i 0.553818 0.162616i
\(359\) 10.2704 + 7.31355i 0.542053 + 0.385994i 0.818035 0.575169i \(-0.195064\pi\)
−0.275982 + 0.961163i \(0.589003\pi\)
\(360\) −0.135353 2.84140i −0.00713371 0.149755i
\(361\) 19.6844 18.7691i 1.03602 0.987845i
\(362\) −4.09757 + 3.22237i −0.215364 + 0.169364i
\(363\) 0.897597 + 0.409919i 0.0471116 + 0.0215152i
\(364\) −0.0259465 + 7.99272i −0.00135996 + 0.418932i
\(365\) 15.6054 24.2824i 0.816822 1.27100i
\(366\) 6.52283 + 2.25757i 0.340954 + 0.118005i
\(367\) −9.40381 + 16.2879i −0.490875 + 0.850220i −0.999945 0.0105048i \(-0.996656\pi\)
0.509070 + 0.860725i \(0.329989\pi\)
\(368\) 0.797731 + 4.72902i 0.0415846 + 0.246517i
\(369\) −7.87002 + 4.54376i −0.409697 + 0.236539i
\(370\) −19.8049 + 17.1610i −1.02961 + 0.892158i
\(371\) 17.8314 + 8.21338i 0.925759 + 0.426417i
\(372\) 0.614092 4.27110i 0.0318392 0.221446i
\(373\) 1.13410 + 11.8768i 0.0587214 + 0.614959i 0.976156 + 0.217071i \(0.0696504\pi\)
−0.917434 + 0.397887i \(0.869744\pi\)
\(374\) −9.60557 + 23.9936i −0.496692 + 1.24068i
\(375\) −3.74566 3.92834i −0.193425 0.202859i
\(376\) 2.75342 5.34090i 0.141997 0.275436i
\(377\) −11.1891 + 5.10990i −0.576269 + 0.263173i
\(378\) 0.260043 2.63294i 0.0133752 0.135424i
\(379\) −2.20445 1.91016i −0.113235 0.0981186i 0.596403 0.802685i \(-0.296596\pi\)
−0.709638 + 0.704567i \(0.751141\pi\)
\(380\) −18.9853 3.65912i −0.973927 0.187709i
\(381\) −15.6634 3.79990i −0.802460 0.194675i
\(382\) 1.04882 10.9838i 0.0536624 0.561978i
\(383\) 12.5320 + 6.46071i 0.640357 + 0.330127i 0.747642 0.664101i \(-0.231186\pi\)
−0.107286 + 0.994228i \(0.534216\pi\)
\(384\) 0.281733 0.959493i 0.0143771 0.0489639i
\(385\) 18.0425 18.7999i 0.919533 0.958131i
\(386\) 0.424042 0.928523i 0.0215832 0.0472606i
\(387\) −2.62299 6.55191i −0.133334 0.333052i
\(388\) −0.321243 + 0.165613i −0.0163087 + 0.00840770i
\(389\) −6.97336 36.1812i −0.353564 1.83446i −0.527312 0.849672i \(-0.676800\pi\)
0.173749 0.984790i \(-0.444412\pi\)
\(390\) 4.29677 + 7.44223i 0.217576 + 0.376852i
\(391\) 32.2101 + 15.6262i 1.62893 + 0.790249i
\(392\) −1.69444 + 6.79182i −0.0855823 + 0.343039i
\(393\) −12.5708 14.5075i −0.634115 0.731807i
\(394\) −0.248262 + 5.21165i −0.0125072 + 0.262559i
\(395\) −7.27535 + 9.25136i −0.366062 + 0.465486i
\(396\) −2.82022 + 2.00827i −0.141721 + 0.100919i
\(397\) −3.40590 4.33096i −0.170937 0.217365i 0.693035 0.720904i \(-0.256273\pi\)
−0.863972 + 0.503540i \(0.832031\pi\)
\(398\) −11.7009 3.43568i −0.586511 0.172215i
\(399\) −16.9748 5.93680i −0.849802 0.297212i
\(400\) 1.28441 + 2.81247i 0.0642207 + 0.140624i
\(401\) 9.62572 10.0952i 0.480686 0.504128i −0.438078 0.898937i \(-0.644341\pi\)
0.918763 + 0.394809i \(0.129189\pi\)
\(402\) 1.00479 + 2.90314i 0.0501142 + 0.144796i
\(403\) 4.26353 + 12.3186i 0.212381 + 0.613636i
\(404\) −7.93311 + 8.32001i −0.394687 + 0.413936i
\(405\) −1.18170 2.58756i −0.0587191 0.128577i
\(406\) −10.5848 + 2.00443i −0.525312 + 0.0994781i
\(407\) 30.6029 + 8.98581i 1.51693 + 0.445410i
\(408\) −4.61449 5.86780i −0.228451 0.290499i
\(409\) 6.13348 4.36763i 0.303281 0.215966i −0.418277 0.908320i \(-0.637366\pi\)
0.721558 + 0.692354i \(0.243426\pi\)
\(410\) 15.9798 20.3199i 0.789184 1.00353i
\(411\) 0.650261 13.6507i 0.0320750 0.673337i
\(412\) −3.54915 4.09594i −0.174854 0.201792i
\(413\) 27.5057 3.86363i 1.35347 0.190117i
\(414\) 2.49819 + 4.09378i 0.122779 + 0.201198i
\(415\) −18.9253 32.7796i −0.929006 1.60909i
\(416\) 0.571724 + 2.96639i 0.0280311 + 0.145439i
\(417\) −13.6862 + 7.05574i −0.670218 + 0.345521i
\(418\) 8.74608 + 21.8466i 0.427785 + 1.06855i
\(419\) 15.5863 34.1292i 0.761440 1.66732i 0.0167972 0.999859i \(-0.494653\pi\)
0.744643 0.667463i \(-0.232620\pi\)
\(420\) 2.09691 + 7.22815i 0.102319 + 0.352698i
\(421\) −1.60566 + 5.46838i −0.0782551 + 0.266512i −0.989322 0.145746i \(-0.953442\pi\)
0.911067 + 0.412258i \(0.135260\pi\)
\(422\) −13.0730 6.73958i −0.636382 0.328078i
\(423\) 0.571180 5.98166i 0.0277717 0.290838i
\(424\) 7.21105 + 1.74938i 0.350200 + 0.0849575i
\(425\) 22.6635 + 4.36803i 1.09934 + 0.211880i
\(426\) −3.71625 3.22015i −0.180053 0.156017i
\(427\) −18.1738 1.79494i −0.879491 0.0868632i
\(428\) −12.5892 + 5.74928i −0.608521 + 0.277902i
\(429\) 4.79269 9.29651i 0.231393 0.448840i
\(430\) 13.8539 + 14.5295i 0.668093 + 0.700676i
\(431\) 5.05453 12.6256i 0.243468 0.608154i −0.755423 0.655238i \(-0.772568\pi\)
0.998891 + 0.0470835i \(0.0149927\pi\)
\(432\) −0.0950560 0.995472i −0.00457339 0.0478947i
\(433\) −3.31521 + 23.0578i −0.159319 + 1.10809i 0.740574 + 0.671975i \(0.234554\pi\)
−0.899893 + 0.436111i \(0.856355\pi\)
\(434\) 1.04831 + 11.3682i 0.0503203 + 0.545693i
\(435\) −8.75357 + 7.58501i −0.419701 + 0.363673i
\(436\) 4.72966 2.73067i 0.226510 0.130775i
\(437\) 31.0441 9.94135i 1.48504 0.475559i
\(438\) 5.07353 8.78761i 0.242423 0.419888i
\(439\) 8.29908 + 2.87234i 0.396093 + 0.137089i 0.517851 0.855471i \(-0.326732\pi\)
−0.121758 + 0.992560i \(0.538853\pi\)
\(440\) 5.32457 8.28520i 0.253839 0.394981i
\(441\) 0.951198 + 6.93507i 0.0452952 + 0.330242i
\(442\) 20.5134 + 9.36814i 0.975722 + 0.445597i
\(443\) 4.01858 3.16025i 0.190929 0.150148i −0.518119 0.855309i \(-0.673368\pi\)
0.709048 + 0.705161i \(0.249125\pi\)
\(444\) −6.66727 + 6.35723i −0.316415 + 0.301701i
\(445\) 1.39913 + 29.3714i 0.0663253 + 1.39234i
\(446\) −15.1263 10.7714i −0.716250 0.510039i
\(447\) 6.61414 1.94209i 0.312838 0.0918576i
\(448\) −0.134468 + 2.64233i −0.00635303 + 0.124838i
\(449\) 9.68946 11.1822i 0.457274 0.527722i −0.479554 0.877512i \(-0.659202\pi\)
0.936828 + 0.349790i \(0.113747\pi\)
\(450\) 2.23770 + 2.13364i 0.105486 + 0.100581i
\(451\) −31.3203 2.99072i −1.47481 0.140828i
\(452\) −8.75830 + 0.417209i −0.411956 + 0.0196239i
\(453\) 12.2691 2.97646i 0.576454 0.139846i
\(454\) −0.103933 0.722870i −0.00487782 0.0339260i
\(455\) −15.6364 16.5059i −0.733046 0.773811i
\(456\) −6.72776 0.967306i −0.315056 0.0452982i
\(457\) 1.31078 + 0.0624403i 0.0613159 + 0.00292084i 0.0782174 0.996936i \(-0.475077\pi\)
−0.0169016 + 0.999857i \(0.505380\pi\)
\(458\) 13.5116 2.60415i 0.631356 0.121684i
\(459\) −6.46479 3.73245i −0.301750 0.174216i
\(460\) −10.9255 8.16991i −0.509402 0.380924i
\(461\) 18.3315i 0.853782i −0.904303 0.426891i \(-0.859609\pi\)
0.904303 0.426891i \(-0.140391\pi\)
\(462\) 6.02103 6.90323i 0.280124 0.321167i
\(463\) 0.306737 + 0.197128i 0.0142553 + 0.00916130i 0.547749 0.836643i \(-0.315485\pi\)
−0.533494 + 0.845804i \(0.679121\pi\)
\(464\) −3.78009 + 1.51332i −0.175486 + 0.0702542i
\(465\) 7.11998 + 9.99861i 0.330181 + 0.463674i
\(466\) −4.37854 1.75290i −0.202832 0.0812016i
\(467\) 1.30010 + 5.35907i 0.0601613 + 0.247988i 0.993950 0.109838i \(-0.0350332\pi\)
−0.933788 + 0.357826i \(0.883518\pi\)
\(468\) 1.63326 + 2.54141i 0.0754977 + 0.117477i
\(469\) −4.37212 6.85196i −0.201886 0.316394i
\(470\) 4.81565 + 16.4006i 0.222129 + 0.756503i
\(471\) −3.85199 + 19.9860i −0.177490 + 0.920907i
\(472\) 9.92084 3.43364i 0.456644 0.158046i
\(473\) 5.76059 23.7455i 0.264872 1.09182i
\(474\) −2.39993 + 3.37024i −0.110233 + 0.154800i
\(475\) 17.6792 11.3617i 0.811179 0.521313i
\(476\) 15.4850 + 12.2591i 0.709755 + 0.561896i
\(477\) 7.34469 1.05601i 0.336290 0.0483512i
\(478\) −19.6515 + 1.87649i −0.898840 + 0.0858288i
\(479\) −15.1696 11.9295i −0.693115 0.545071i 0.208280 0.978069i \(-0.433213\pi\)
−0.901395 + 0.432998i \(0.857456\pi\)
\(480\) 1.30348 + 2.52840i 0.0594955 + 0.115405i
\(481\) 9.10238 26.2996i 0.415033 1.19916i
\(482\) −24.1576 −1.10035
\(483\) −8.94765 8.99665i −0.407132 0.409362i
\(484\) −0.986769 −0.0448531
\(485\) 0.336260 0.971561i 0.0152688 0.0441163i
\(486\) −0.458227 0.888835i −0.0207856 0.0403184i
\(487\) −13.5504 10.6562i −0.614028 0.482877i 0.262045 0.965056i \(-0.415603\pi\)
−0.876073 + 0.482179i \(0.839846\pi\)
\(488\) −6.87121 + 0.656121i −0.311045 + 0.0297012i
\(489\) 5.99778 0.862351i 0.271229 0.0389968i
\(490\) −9.84401 17.3089i −0.444707 0.781936i
\(491\) −18.3165 + 11.7713i −0.826613 + 0.531232i −0.884200 0.467109i \(-0.845296\pi\)
0.0575872 + 0.998340i \(0.481659\pi\)
\(492\) 5.27128 7.40247i 0.237648 0.333729i
\(493\) −7.16595 + 29.5385i −0.322738 + 1.33035i
\(494\) 19.4041 6.71582i 0.873032 0.302159i
\(495\) 1.86387 9.67065i 0.0837745 0.434664i
\(496\) 1.21568 + 4.14023i 0.0545858 + 0.185902i
\(497\) 11.5443 + 5.99902i 0.517833 + 0.269093i
\(498\) −7.19377 11.1937i −0.322360 0.501603i
\(499\) 6.67719 + 27.5238i 0.298912 + 1.23213i 0.901041 + 0.433734i \(0.142804\pi\)
−0.602129 + 0.798399i \(0.705681\pi\)
\(500\) 5.03907 + 2.01734i 0.225354 + 0.0902181i
\(501\) −5.00420 7.02741i −0.223571 0.313961i
\(502\) 2.34123 0.937289i 0.104494 0.0418332i
\(503\) 32.9583 + 21.1810i 1.46954 + 0.944414i 0.998042 + 0.0625456i \(0.0199219\pi\)
0.471495 + 0.881869i \(0.343714\pi\)
\(504\) 0.857220 + 2.50303i 0.0381836 + 0.111494i
\(505\) 32.7016i 1.45520i
\(506\) −1.17598 + 16.5624i −0.0522788 + 0.736288i
\(507\) 3.35471 + 1.93684i 0.148988 + 0.0860182i
\(508\) 15.8265 3.05030i 0.702186 0.135335i
\(509\) 20.7203 + 0.987028i 0.918409 + 0.0437492i 0.501460 0.865181i \(-0.332796\pi\)
0.416949 + 0.908930i \(0.363099\pi\)
\(510\) 21.0187 + 3.02203i 0.930722 + 0.133818i
\(511\) −7.64714 + 25.7344i −0.338290 + 1.13842i
\(512\) 0.142315 + 0.989821i 0.00628949 + 0.0437443i
\(513\) −6.60535 + 1.60244i −0.291633 + 0.0707494i
\(514\) 4.50261 0.214486i 0.198601 0.00946055i
\(515\) 15.3472 + 1.46548i 0.676278 + 0.0645768i
\(516\) 5.10772 + 4.87020i 0.224855 + 0.214398i
\(517\) 13.6236 15.7225i 0.599167 0.691475i
\(518\) 13.2438 20.4614i 0.581900 0.899023i
\(519\) 16.2185 4.76219i 0.711914 0.209037i
\(520\) −7.00010 4.98475i −0.306975 0.218596i
\(521\) 1.45926 + 30.6337i 0.0639315 + 1.34209i 0.771855 + 0.635798i \(0.219329\pi\)
−0.707924 + 0.706289i \(0.750368\pi\)
\(522\) −2.94687 + 2.80984i −0.128981 + 0.122983i
\(523\) 29.2795 23.0256i 1.28030 1.00684i 0.281420 0.959585i \(-0.409195\pi\)
0.998883 0.0472567i \(-0.0150479\pi\)
\(524\) 17.4615 + 7.97439i 0.762808 + 0.348363i
\(525\) −7.07108 4.11315i −0.308607 0.179513i
\(526\) −6.84256 + 10.6472i −0.298350 + 0.464242i
\(527\) 30.4396 + 10.5352i 1.32597 + 0.458923i
\(528\) 1.73110 2.99835i 0.0753363 0.130486i
\(529\) 22.7693 + 3.24976i 0.989968 + 0.141294i
\(530\) −18.2798 + 10.5539i −0.794025 + 0.458430i
\(531\) 7.93404 6.87488i 0.344308 0.298345i
\(532\) 17.9070 1.65127i 0.776369 0.0715917i
\(533\) −3.90700 + 27.1738i −0.169231 + 1.17703i
\(534\) 0.982590 + 10.2901i 0.0425208 + 0.445298i
\(535\) 14.6320 36.5491i 0.632598 1.58015i
\(536\) −2.12000 2.22339i −0.0915699 0.0960357i
\(537\) −5.00434 + 9.70707i −0.215953 + 0.418891i
\(538\) 16.5362 7.55183i 0.712926 0.325582i
\(539\) −11.2449 + 21.4687i −0.484352 + 0.924721i
\(540\) 2.14982 + 1.86283i 0.0925136 + 0.0801635i
\(541\) 10.5818 + 2.03948i 0.454949 + 0.0876841i 0.411577 0.911375i \(-0.364978\pi\)
0.0433713 + 0.999059i \(0.486190\pi\)
\(542\) 22.8457 + 5.54231i 0.981308 + 0.238063i
\(543\) 0.495513 5.18924i 0.0212645 0.222692i
\(544\) 6.63506 + 3.42061i 0.284476 + 0.146658i
\(545\) −4.37685 + 14.9062i −0.187483 + 0.638510i
\(546\) −5.76670 5.53438i −0.246792 0.236850i
\(547\) 0.470106 1.02939i 0.0201003 0.0440135i −0.899316 0.437300i \(-0.855935\pi\)
0.919416 + 0.393287i \(0.128662\pi\)
\(548\) 5.07919 + 12.6872i 0.216972 + 0.541970i
\(549\) −6.13515 + 3.16289i −0.261842 + 0.134989i
\(550\) 2.02588 + 10.5112i 0.0863836 + 0.448201i
\(551\) 13.8378 + 23.9677i 0.589508 + 1.02106i
\(552\) −3.97305 2.68605i −0.169104 0.114326i
\(553\) 4.10140 10.1492i 0.174409 0.431587i
\(554\) −1.22732 1.41641i −0.0521440 0.0601774i
\(555\) 1.24691 26.1759i 0.0529285 1.11111i
\(556\) 9.51837 12.1036i 0.403669 0.513307i
\(557\) −12.0849 + 8.60564i −0.512055 + 0.364633i −0.806688 0.590978i \(-0.798742\pi\)
0.294633 + 0.955611i \(0.404803\pi\)
\(558\) 2.66737 + 3.39184i 0.112919 + 0.143588i
\(559\) −20.4568 6.00665i −0.865229 0.254054i
\(560\) −4.91010 5.70387i −0.207490 0.241032i
\(561\) −10.7364 23.5093i −0.453289 0.992565i
\(562\) 10.5529 11.0676i 0.445149 0.466859i
\(563\) 1.31204 + 3.79090i 0.0552960 + 0.159767i 0.969266 0.246014i \(-0.0791208\pi\)
−0.913970 + 0.405781i \(0.867000\pi\)
\(564\) 1.96531 + 5.67839i 0.0827544 + 0.239103i
\(565\) 17.2122 18.0516i 0.724122 0.759437i
\(566\) −12.2610 26.8478i −0.515368 1.12850i
\(567\) 1.72610 + 2.00514i 0.0724893 + 0.0842079i
\(568\) 4.71812 + 1.38537i 0.197968 + 0.0581287i
\(569\) −7.34343 9.33794i −0.307853 0.391467i 0.607367 0.794421i \(-0.292226\pi\)
−0.915220 + 0.402955i \(0.867983\pi\)
\(570\) 15.7496 11.2152i 0.659679 0.469755i
\(571\) 5.01746 6.38021i 0.209974 0.267004i −0.669646 0.742680i \(-0.733554\pi\)
0.879620 + 0.475677i \(0.157797\pi\)
\(572\) −0.497669 + 10.4474i −0.0208086 + 0.436826i
\(573\) 7.22555 + 8.33873i 0.301852 + 0.348355i
\(574\) −9.00841 + 22.2919i −0.376004 + 0.930446i
\(575\) 14.7224 1.76797i 0.613965 0.0737296i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) 0.885237 + 4.59304i 0.0368529 + 0.191211i 0.995690 0.0927466i \(-0.0295646\pi\)
−0.958837 + 0.283958i \(0.908353\pi\)
\(578\) 34.4198 17.7447i 1.43168 0.738080i
\(579\) 0.379381 + 0.947648i 0.0157665 + 0.0393829i
\(580\) 4.81160 10.5359i 0.199791 0.437481i
\(581\) 25.3996 + 24.3764i 1.05375 + 1.01130i
\(582\) 0.101824 0.346781i 0.00422074 0.0143745i
\(583\) 22.8344 + 11.7719i 0.945703 + 0.487544i
\(584\) −0.964539 + 10.1011i −0.0399129 + 0.417987i
\(585\) −8.35131 2.02601i −0.345284 0.0837650i
\(586\) −3.55772 0.685694i −0.146968 0.0283258i
\(587\) 18.9790 + 16.4454i 0.783349 + 0.678776i 0.951727 0.306947i \(-0.0993073\pi\)
−0.168378 + 0.985723i \(0.553853\pi\)
\(588\) −3.74617 5.91322i −0.154490 0.243857i
\(589\) 26.6786 12.1837i 1.09927 0.502020i
\(590\) −13.6843 + 26.5438i −0.563372 + 1.09279i
\(591\) −3.60053 3.77613i −0.148106 0.155329i
\(592\) 3.42387 8.55243i 0.140720 0.351503i
\(593\) −0.529073 5.54070i −0.0217264 0.227529i −0.999813 0.0193314i \(-0.993846\pi\)
0.978087 0.208198i \(-0.0667598\pi\)
\(594\) 0.492721 3.42695i 0.0202166 0.140610i
\(595\) −55.9447 + 5.15886i −2.29351 + 0.211493i
\(596\) −5.20966 + 4.51420i −0.213396 + 0.184909i
\(597\) 10.5610 6.09742i 0.432234 0.249551i
\(598\) 14.3865 + 1.71260i 0.588309 + 0.0700333i
\(599\) −7.37177 + 12.7683i −0.301202 + 0.521698i −0.976409 0.215931i \(-0.930721\pi\)
0.675206 + 0.737629i \(0.264055\pi\)
\(600\) −2.92183 1.01126i −0.119283 0.0412843i
\(601\) −4.98461 + 7.75620i −0.203326 + 0.316382i −0.927910 0.372805i \(-0.878396\pi\)
0.724583 + 0.689187i \(0.242032\pi\)
\(602\) −16.1403 9.38857i −0.657828 0.382650i
\(603\) −2.79449 1.27620i −0.113800 0.0519708i
\(604\) −9.92392 + 7.80426i −0.403799 + 0.317551i
\(605\) 2.03151 1.93704i 0.0825927 0.0787520i
\(606\) −0.546999 11.4829i −0.0222203 0.466462i
\(607\) −21.2230 15.1128i −0.861415 0.613411i 0.0616317 0.998099i \(-0.480370\pi\)
−0.923047 + 0.384688i \(0.874309\pi\)
\(608\) 6.52162 1.91492i 0.264487 0.0776602i
\(609\) 5.85364 9.04376i 0.237202 0.366472i
\(610\) 12.8581 14.8391i 0.520610 0.600816i
\(611\) −13.1377 12.5268i −0.531495 0.506779i
\(612\) 7.43109 + 0.709583i 0.300384 + 0.0286832i
\(613\) −15.6649 + 0.746213i −0.632701 + 0.0301393i −0.361483 0.932379i \(-0.617729\pi\)
−0.271218 + 0.962518i \(0.587426\pi\)
\(614\) −12.1460 + 2.94658i −0.490172 + 0.118914i
\(615\) 3.67892 + 25.5874i 0.148348 + 1.03179i
\(616\) −2.60922 + 8.78063i −0.105128 + 0.353781i
\(617\) 15.8325 + 2.27638i 0.637394 + 0.0916435i 0.453433 0.891290i \(-0.350199\pi\)
0.183961 + 0.982934i \(0.441108\pi\)
\(618\) 5.41356 + 0.257880i 0.217765 + 0.0103734i
\(619\) 22.0914 4.25777i 0.887928 0.171134i 0.275162 0.961398i \(-0.411269\pi\)
0.612767 + 0.790264i \(0.290056\pi\)
\(620\) −10.6301 6.13731i −0.426916 0.246480i
\(621\) −4.68676 1.01701i −0.188073 0.0408113i
\(622\) 18.2660i 0.732400i
\(623\) −8.86104 25.8737i −0.355010 1.03661i
\(624\) −2.54141 1.63326i −0.101738 0.0653829i
\(625\) −28.6863 + 11.4842i −1.14745 + 0.459370i
\(626\) 2.39943 + 3.36952i 0.0959004 + 0.134673i
\(627\) −21.8466 8.74608i −0.872471 0.349285i
\(628\) −4.79860 19.7801i −0.191485 0.789312i
\(629\) −37.1793 57.8522i −1.48244 2.30672i
\(630\) −6.67829 3.47039i −0.266070 0.138264i
\(631\) 10.4061 + 35.4401i 0.414262 + 1.41085i 0.857519 + 0.514453i \(0.172005\pi\)
−0.443256 + 0.896395i \(0.646177\pi\)
\(632\) 0.783010 4.06264i 0.0311465 0.161603i
\(633\) 13.8990 4.81051i 0.552437 0.191200i
\(634\) −6.95117 + 28.6531i −0.276066 + 1.13796i
\(635\) −26.5950 + 37.3474i −1.05539 + 1.48209i
\(636\) −6.24228 + 4.01167i −0.247523 + 0.159073i
\(637\) 18.2447 + 10.6921i 0.722881 + 0.423637i
\(638\) −13.9537 + 2.00624i −0.552433 + 0.0794279i
\(639\) 4.89504 0.467420i 0.193645 0.0184908i
\(640\) −2.23602 1.75843i −0.0883866 0.0695080i
\(641\) 9.60416 + 18.6295i 0.379341 + 0.735820i 0.998788 0.0492192i \(-0.0156733\pi\)
−0.619447 + 0.785039i \(0.712643\pi\)
\(642\) 4.52657 13.0787i 0.178650 0.516174i
\(643\) 39.7237 1.56655 0.783275 0.621675i \(-0.213548\pi\)
0.783275 + 0.621675i \(0.213548\pi\)
\(644\) 11.8764 + 4.46665i 0.467996 + 0.176011i
\(645\) −20.0758 −0.790483
\(646\) 16.5949 47.9479i 0.652918 1.88648i
\(647\) 1.65484 + 3.20994i 0.0650585 + 0.126196i 0.919122 0.393972i \(-0.128899\pi\)
−0.854064 + 0.520168i \(0.825869\pi\)
\(648\) 0.786053 + 0.618159i 0.0308791 + 0.0242836i
\(649\) 36.1823 3.45499i 1.42028 0.135620i
\(650\) 9.24544 1.32929i 0.362636 0.0521392i
\(651\) −8.95100 7.08629i −0.350817 0.277734i
\(652\) −5.09754 + 3.27599i −0.199635 + 0.128298i
\(653\) −21.2929 + 29.9017i −0.833256 + 1.17014i 0.150139 + 0.988665i \(0.452028\pi\)
−0.983395 + 0.181479i \(0.941912\pi\)
\(654\) −1.28756 + 5.30740i −0.0503476 + 0.207536i
\(655\) −51.6027 + 17.8599i −2.01628 + 0.697842i
\(656\) −1.71982 + 8.92329i −0.0671478 + 0.348396i
\(657\) 2.85876 + 9.73603i 0.111531 + 0.379839i
\(658\) −8.55164 13.4021i −0.333377 0.522467i
\(659\) 5.40943 + 8.41724i 0.210722 + 0.327889i 0.930485 0.366330i \(-0.119386\pi\)
−0.719763 + 0.694220i \(0.755750\pi\)
\(660\) 2.32190 + 9.57101i 0.0903799 + 0.372551i
\(661\) −21.7020 8.68816i −0.844109 0.337930i −0.0910201 0.995849i \(-0.529013\pi\)
−0.753089 + 0.657919i \(0.771437\pi\)
\(662\) −16.9673 23.8273i −0.659454 0.926074i
\(663\) −20.9359 + 8.38147i −0.813083 + 0.325509i
\(664\) 11.1937 + 7.19377i 0.434401 + 0.279172i
\(665\) −33.6247 + 38.5513i −1.30391 + 1.49496i
\(666\) 9.21232i 0.356970i
\(667\) 1.40312 + 19.4770i 0.0543289 + 0.754153i
\(668\) 7.47127 + 4.31354i 0.289072 + 0.166896i
\(669\) 18.2339 3.51430i 0.704965 0.135871i
\(670\) 8.72909 + 0.415818i 0.337234 + 0.0160644i
\(671\) −23.6544 3.40099i −0.913168 0.131294i
\(672\) −1.81955 1.92074i −0.0701907 0.0740940i
\(673\) −3.62514 25.2134i −0.139739 0.971905i −0.932190 0.361970i \(-0.882104\pi\)
0.792451 0.609935i \(-0.208805\pi\)
\(674\) −7.69782 + 1.86747i −0.296509 + 0.0719323i
\(675\) −3.08838 + 0.147118i −0.118872 + 0.00566256i
\(676\) −3.85614 0.368217i −0.148313 0.0141622i
\(677\) −18.1298 17.2867i −0.696783 0.664381i 0.256471 0.966552i \(-0.417440\pi\)
−0.953254 + 0.302171i \(0.902289\pi\)
\(678\) 5.74197 6.62659i 0.220519 0.254493i
\(679\) −0.0485996 + 0.954993i −0.00186508 + 0.0366493i
\(680\) −20.3746 + 5.98254i −0.781332 + 0.229420i
\(681\) 0.594888 + 0.423618i 0.0227962 + 0.0162331i
\(682\) 0.710847 + 14.9225i 0.0272197 + 0.571413i
\(683\) −19.6752 + 18.7603i −0.752852 + 0.717843i −0.965819 0.259217i \(-0.916536\pi\)
0.212967 + 0.977059i \(0.431687\pi\)
\(684\) 5.34276 4.20159i 0.204285 0.160652i
\(685\) −35.3619 16.1493i −1.35111 0.617032i
\(686\) 13.2786 + 12.9104i 0.506981 + 0.492920i
\(687\) −7.43937 + 11.5759i −0.283830 + 0.441648i
\(688\) −6.66929 2.30827i −0.254264 0.0880018i
\(689\) 11.2082 19.4131i 0.426997 0.739580i
\(690\) 13.4523 2.26924i 0.512120 0.0863886i
\(691\) 9.35073 5.39865i 0.355719 0.205374i −0.311482 0.950252i \(-0.600825\pi\)
0.667201 + 0.744878i \(0.267492\pi\)
\(692\) −12.7746 + 11.0693i −0.485617 + 0.420790i
\(693\) 0.841117 + 9.12140i 0.0319514 + 0.346493i
\(694\) −4.72001 + 32.8284i −0.179169 + 1.24615i
\(695\) 4.16358 + 43.6030i 0.157934 + 1.65396i
\(696\) 1.51332 3.78009i 0.0573623 0.143284i
\(697\) 46.8131 + 49.0962i 1.77317 + 1.85965i
\(698\) −3.78147 + 7.33502i −0.143131 + 0.277635i
\(699\) 4.29017 1.95925i 0.162269 0.0741058i
\(700\) 8.14074 + 0.804023i 0.307691 + 0.0303892i
\(701\) −5.92159 5.13109i −0.223656 0.193799i 0.535824 0.844330i \(-0.320001\pi\)
−0.759480 + 0.650531i \(0.774546\pi\)
\(702\) −2.96639 0.571724i −0.111959 0.0215783i
\(703\) −60.8506 14.7622i −2.29502 0.556767i
\(704\) −0.329102 + 3.44651i −0.0124035 + 0.129895i
\(705\) −15.1928 7.83245i −0.572196 0.294987i
\(706\) −8.56658 + 29.1751i −0.322407 + 1.09802i
\(707\) 8.47423 + 29.2110i 0.318706 + 1.09859i
\(708\) −4.36113 + 9.54953i −0.163901 + 0.358893i
\(709\) 10.2877 + 25.6974i 0.386362 + 0.965085i 0.986289 + 0.165030i \(0.0527721\pi\)
−0.599927 + 0.800055i \(0.704804\pi\)
\(710\) −12.4329 + 6.40962i −0.466600 + 0.240549i
\(711\) −0.783010 4.06264i −0.0293652 0.152361i
\(712\) −5.16848 8.95206i −0.193697 0.335493i
\(713\) 20.6885 + 0.481806i 0.774791 + 0.0180438i
\(714\) −19.5582 + 2.74728i −0.731949 + 0.102814i
\(715\) −19.4837 22.4854i −0.728651 0.840908i
\(716\) 0.519647 10.9087i 0.0194201 0.407679i
\(717\) 12.2030 15.5174i 0.455730 0.579508i
\(718\) 10.2704 7.31355i 0.383289 0.272939i
\(719\) −15.0851 19.1823i −0.562580 0.715378i 0.418666 0.908140i \(-0.362498\pi\)
−0.981246 + 0.192762i \(0.938255\pi\)
\(720\) −2.72940 0.801423i −0.101719 0.0298673i
\(721\) −14.0888 + 2.66799i −0.524694 + 0.0993610i
\(722\) −11.2986 24.7405i −0.420491 0.920748i
\(723\) 16.6706 17.4837i 0.619987 0.650224i
\(724\) 1.70496 + 4.92615i 0.0633642 + 0.183079i
\(725\) 4.11759 + 11.8970i 0.152923 + 0.441843i
\(726\) 0.680949 0.714159i 0.0252724 0.0265049i
\(727\) 8.42752 + 18.4537i 0.312559 + 0.684409i 0.999088 0.0426931i \(-0.0135938\pi\)
−0.686529 + 0.727102i \(0.740866\pi\)
\(728\) 7.54464 + 2.63868i 0.279623 + 0.0977960i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −17.8429 22.6891i −0.660395 0.839761i
\(731\) −42.9144 + 30.5592i −1.58725 + 1.13027i
\(732\) 4.26682 5.42570i 0.157706 0.200540i
\(733\) 1.75324 36.8049i 0.0647572 1.35942i −0.699557 0.714577i \(-0.746619\pi\)
0.764314 0.644844i \(-0.223078\pi\)
\(734\) 12.3164 + 14.2139i 0.454606 + 0.524643i
\(735\) 19.3202 + 4.82005i 0.712635 + 0.177790i
\(736\) 4.72984 + 0.792854i 0.174344 + 0.0292250i
\(737\) −5.31811 9.21124i −0.195895 0.339300i
\(738\) 1.71982 + 8.92329i 0.0633076 + 0.328471i
\(739\) −11.9482 + 6.15970i −0.439520 + 0.226588i −0.663760 0.747946i \(-0.731040\pi\)
0.224240 + 0.974534i \(0.428010\pi\)
\(740\) 9.73963 + 24.3284i 0.358036 + 0.894331i
\(741\) −8.52989 + 18.6779i −0.313353 + 0.686148i
\(742\) 13.5937 14.1643i 0.499041 0.519989i
\(743\) 7.46231 25.4143i 0.273766 0.932360i −0.701749 0.712425i \(-0.747597\pi\)
0.975514 0.219936i \(-0.0705848\pi\)
\(744\) −3.83535 1.97726i −0.140611 0.0724898i
\(745\) 1.86396 19.5203i 0.0682902 0.715167i
\(746\) 11.5945 + 2.81280i 0.424506 + 0.102984i
\(747\) 13.0655 + 2.51818i 0.478043 + 0.0921353i
\(748\) 19.5323 + 16.9248i 0.714170 + 0.618832i
\(749\) −3.59896 + 36.4395i −0.131503 + 1.33147i
\(750\) −4.93737 + 2.25482i −0.180287 + 0.0823345i
\(751\) 10.1458 19.6802i 0.370227 0.718141i −0.627965 0.778242i \(-0.716112\pi\)
0.998192 + 0.0601009i \(0.0191422\pi\)
\(752\) −4.14660 4.34882i −0.151211 0.158585i
\(753\) −0.937289 + 2.34123i −0.0341567 + 0.0853193i
\(754\) 1.16926 + 12.2450i 0.0425818 + 0.445937i
\(755\) 5.11101 35.5478i 0.186009 1.29372i
\(756\) −2.40308 1.10689i −0.0873992 0.0402573i
\(757\) 35.7060 30.9394i 1.29776 1.12451i 0.313153 0.949703i \(-0.398615\pi\)
0.984602 0.174809i \(-0.0559307\pi\)
\(758\) −2.52611 + 1.45845i −0.0917525 + 0.0529733i
\(759\) −11.1752 12.2805i −0.405636 0.445752i
\(760\) −9.66737 + 16.7444i −0.350672 + 0.607382i
\(761\) −21.7947 7.54321i −0.790056 0.273441i −0.0979071 0.995196i \(-0.531215\pi\)
−0.692149 + 0.721754i \(0.743336\pi\)
\(762\) −8.71391 + 13.5591i −0.315671 + 0.491194i
\(763\) 0.0469061 14.4493i 0.00169812 0.523099i
\(764\) −10.0366 4.58357i −0.363112 0.165828i
\(765\) −16.6917 + 13.1265i −0.603489 + 0.474589i
\(766\) 10.2042 9.72968i 0.368693 0.351548i
\(767\) −1.50906 31.6790i −0.0544889 1.14386i
\(768\) −0.814576 0.580057i −0.0293935 0.0209310i
\(769\) 51.8404 15.2217i 1.86941 0.548909i 0.871082 0.491138i \(-0.163419\pi\)
0.998330 0.0577710i \(-0.0183993\pi\)
\(770\) −11.8648 23.1990i −0.427577 0.836036i
\(771\) −2.95192 + 3.40670i −0.106311 + 0.122689i
\(772\) −0.738764 0.704410i −0.0265887 0.0253523i
\(773\) −52.9167 5.05293i −1.90328 0.181741i −0.923744 0.383010i \(-0.874888\pi\)
−0.979536 + 0.201268i \(0.935494\pi\)
\(774\) −7.04945 + 0.335807i −0.253387 + 0.0120703i
\(775\) 12.9655 3.14539i 0.465733 0.112986i
\(776\) 0.0514355 + 0.357742i 0.00184643 + 0.0128422i
\(777\) 5.66935 + 23.7050i 0.203387 + 0.850412i
\(778\) −36.4721 5.24389i −1.30759 0.188003i
\(779\) 61.6974 + 2.93901i 2.21054 + 0.105301i
\(780\) 8.43825 1.62634i 0.302138 0.0582323i
\(781\) 14.7438 + 8.51233i 0.527574 + 0.304595i
\(782\) 25.3016 25.3277i 0.904784 0.905718i
\(783\) 4.07176i 0.145513i
\(784\) 5.86408 + 3.82264i 0.209431 + 0.136523i
\(785\) 48.7078 + 31.3026i 1.73845 + 1.11724i
\(786\) −17.8211 + 7.13450i −0.635659 + 0.254479i
\(787\) −18.9489 26.6100i −0.675455 0.948543i −0.999996 0.00267192i \(-0.999150\pi\)
0.324542 0.945871i \(-0.394790\pi\)
\(788\) 4.84382 + 1.93917i 0.172554 + 0.0690801i
\(789\) −2.98386 12.2996i −0.106228 0.437878i
\(790\) 6.36301 + 9.90103i 0.226386 + 0.352263i
\(791\) −10.6971 + 20.5851i −0.380344 + 0.731922i
\(792\) 0.975412 + 3.32195i 0.0346598 + 0.118040i
\(793\) −3.94630 + 20.4754i −0.140137 + 0.727102i
\(794\) −5.20672 + 1.80206i −0.184780 + 0.0639529i
\(795\) 4.97633 20.5127i 0.176492 0.727511i
\(796\) −7.07370 + 9.93362i −0.250721 + 0.352088i
\(797\) −13.4810 + 8.66372i −0.477522 + 0.306885i −0.757170 0.653218i \(-0.773419\pi\)
0.279648 + 0.960103i \(0.409782\pi\)
\(798\) −11.1622 + 14.0994i −0.395137 + 0.499115i
\(799\) −44.3990 + 6.38361i −1.57072 + 0.225836i
\(800\) 3.07788 0.293902i 0.108820 0.0103910i
\(801\) −8.12539 6.38988i −0.287097 0.225775i
\(802\) −6.39167 12.3981i −0.225698 0.437793i
\(803\) −11.4902 + 33.1989i −0.405482 + 1.17156i
\(804\) 3.07211 0.108345
\(805\) −33.2187 + 14.1178i −1.17080 + 0.497589i
\(806\) 13.0356 0.459159
\(807\) −5.94577 + 17.1792i −0.209301 + 0.604735i
\(808\) 5.26775 + 10.2180i 0.185319 + 0.359468i
\(809\) 5.64466 + 4.43901i 0.198456 + 0.156067i 0.712442 0.701731i \(-0.247589\pi\)
−0.513986 + 0.857799i \(0.671832\pi\)
\(810\) −2.83174 + 0.270399i −0.0994973 + 0.00950084i
\(811\) 27.7569 3.99085i 0.974678 0.140138i 0.363469 0.931606i \(-0.381592\pi\)
0.611209 + 0.791469i \(0.290683\pi\)
\(812\) −1.56775 + 10.6582i −0.0550171 + 0.374029i
\(813\) −19.7765 + 12.7096i −0.693593 + 0.445745i
\(814\) 18.5008 25.9808i 0.648453 0.910625i
\(815\) 4.06375 16.7510i 0.142347 0.586762i
\(816\) −7.05433 + 2.44153i −0.246951 + 0.0854706i
\(817\) −9.07820 + 47.1022i −0.317606 + 1.64790i
\(818\) −2.12135 7.22466i −0.0741713 0.252604i
\(819\) 7.98490 0.354392i 0.279015 0.0123834i
\(820\) −13.9759 21.7469i −0.488059 0.759434i
\(821\) −5.73524 23.6410i −0.200161 0.825076i −0.979984 0.199076i \(-0.936206\pi\)
0.779823 0.626000i \(-0.215309\pi\)
\(822\) −12.6872 5.07919i −0.442517 0.177157i
\(823\) 0.124984 + 0.175515i 0.00435667 + 0.00611808i 0.816749 0.576994i \(-0.195774\pi\)
−0.812392 + 0.583112i \(0.801835\pi\)
\(824\) −5.03148 + 2.01430i −0.175280 + 0.0701714i
\(825\) −9.00535 5.78739i −0.313526 0.201491i
\(826\) 5.34510 27.2566i 0.185980 0.948377i
\(827\) 40.0973i 1.39432i 0.716915 + 0.697161i \(0.245554\pi\)
−0.716915 + 0.697161i \(0.754446\pi\)
\(828\) 4.68571 1.02184i 0.162840 0.0355115i
\(829\) −23.7689 13.7230i −0.825529 0.476620i 0.0267902 0.999641i \(-0.491471\pi\)
−0.852319 + 0.523022i \(0.824805\pi\)
\(830\) −37.1666 + 7.16327i −1.29007 + 0.248641i
\(831\) 1.87205 + 0.0891769i 0.0649408 + 0.00309351i
\(832\) 2.99023 + 0.429930i 0.103668 + 0.0149051i
\(833\) 48.6362 19.1056i 1.68515 0.661969i
\(834\) 2.19135 + 15.2412i 0.0758804 + 0.527760i
\(835\) −23.8490 + 5.78571i −0.825329 + 0.200223i
\(836\) 23.5057 1.11971i 0.812960 0.0387261i
\(837\) −4.29548 0.410169i −0.148474 0.0141775i
\(838\) −27.1544 25.8916i −0.938032 0.894412i
\(839\) −3.48340 + 4.02006i −0.120260 + 0.138788i −0.812687 0.582700i \(-0.801996\pi\)
0.692427 + 0.721488i \(0.256542\pi\)
\(840\) 7.51644 + 0.382512i 0.259342 + 0.0131979i
\(841\) 11.9176 3.49933i 0.410953 0.120667i
\(842\) 4.64246 + 3.30588i 0.159990 + 0.113928i
\(843\) 0.727640 + 15.2750i 0.0250613 + 0.526100i
\(844\) −10.6447 + 10.1497i −0.366404 + 0.349366i
\(845\) 8.66166 6.81160i 0.297970 0.234326i
\(846\) −5.46586 2.49618i −0.187920 0.0858203i
\(847\) −1.31271 + 2.25672i −0.0451051 + 0.0775419i
\(848\) 4.01167 6.24228i 0.137761 0.214361i
\(849\) 27.8918 + 9.65343i 0.957242 + 0.331305i
\(850\) 11.5403 19.9884i 0.395828 0.685595i
\(851\) −34.0831 28.1119i −1.16836 0.963663i
\(852\) −4.25851 + 2.45865i −0.145894 + 0.0842321i
\(853\) −35.6981 + 30.9325i −1.22228 + 1.05911i −0.225894 + 0.974152i \(0.572530\pi\)
−0.996384 + 0.0849584i \(0.972924\pi\)
\(854\) −7.64028 + 16.5872i −0.261445 + 0.567601i
\(855\) −2.75162 + 19.1379i −0.0941034 + 0.654504i
\(856\) 1.31556 + 13.7772i 0.0449650 + 0.470894i
\(857\) 5.15725 12.8822i 0.176168 0.440047i −0.813834 0.581097i \(-0.802624\pi\)
0.990002 + 0.141050i \(0.0450478\pi\)
\(858\) −7.21768 7.56968i −0.246408 0.258425i
\(859\) −15.4957 + 30.0575i −0.528708 + 1.02555i 0.461656 + 0.887059i \(0.347255\pi\)
−0.990364 + 0.138491i \(0.955775\pi\)
\(860\) 18.2616 8.33978i 0.622714 0.284384i
\(861\) −9.91690 21.9029i −0.337967 0.746448i
\(862\) −10.2780 8.90597i −0.350071 0.303339i
\(863\) −30.5709 5.89205i −1.04064 0.200568i −0.359825 0.933020i \(-0.617164\pi\)
−0.680819 + 0.732452i \(0.738376\pi\)
\(864\) −0.971812 0.235759i −0.0330617 0.00802068i
\(865\) 4.57061 47.8656i 0.155405 1.62748i
\(866\) 20.7053 + 10.6743i 0.703596 + 0.362729i
\(867\) −10.9100 + 37.1560i −0.370523 + 1.26188i
\(868\) 11.0859 + 2.72754i 0.376279 + 0.0925787i
\(869\) 5.95062 13.0300i 0.201861 0.442014i
\(870\) 4.30483 + 10.7529i 0.145947 + 0.364559i
\(871\) −8.24908 + 4.25269i −0.279509 + 0.144097i
\(872\) −1.03357 5.36265i −0.0350010 0.181602i
\(873\) 0.180710 + 0.312999i 0.00611612 + 0.0105934i
\(874\) 0.758932 32.5882i 0.0256713 1.10231i
\(875\) 11.3171 8.84058i 0.382589 0.298866i
\(876\) −6.64491 7.66864i −0.224511 0.259099i
\(877\) −0.915644 + 19.2217i −0.0309191 + 0.649072i 0.929216 + 0.369536i \(0.120483\pi\)
−0.960135 + 0.279535i \(0.909820\pi\)
\(878\) 5.42872 6.90318i 0.183211 0.232971i
\(879\) 2.95137 2.10166i 0.0995472 0.0708872i
\(880\) −6.08802 7.74155i −0.205227 0.260967i
\(881\) 36.4090 + 10.6907i 1.22665 + 0.360177i 0.829985 0.557786i \(-0.188349\pi\)
0.396666 + 0.917963i \(0.370167\pi\)
\(882\) 6.86476 + 1.36936i 0.231148 + 0.0461086i
\(883\) 16.3110 + 35.7162i 0.548910 + 1.20195i 0.957289 + 0.289133i \(0.0933671\pi\)
−0.408378 + 0.912813i \(0.633906\pi\)
\(884\) 15.5622 16.3211i 0.523412 0.548939i
\(885\) −9.76740 28.2211i −0.328328 0.948640i
\(886\) −1.67209 4.83118i −0.0561749 0.162307i
\(887\) 21.8418 22.9071i 0.733377 0.769144i −0.246414 0.969165i \(-0.579252\pi\)
0.979792 + 0.200020i \(0.0641009\pi\)
\(888\) 3.82694 + 8.37982i 0.128424 + 0.281208i
\(889\) 14.0781 40.2527i 0.472163 1.35003i
\(890\) 28.2136 + 8.28427i 0.945723 + 0.277689i
\(891\) 2.14018 + 2.72147i 0.0716989 + 0.0911726i
\(892\) −15.1263 + 10.7714i −0.506465 + 0.360652i
\(893\) −25.2468 + 32.1039i −0.844852 + 1.07432i
\(894\) 0.328000 6.88557i 0.0109700 0.230288i
\(895\) 20.3442 + 23.4784i 0.680031 + 0.784798i
\(896\) 2.45303 + 0.991295i 0.0819498 + 0.0331168i
\(897\) −11.1673 + 9.23019i −0.372866 + 0.308187i
\(898\) −7.39811 12.8139i −0.246878 0.427605i
\(899\) 3.32510 + 17.2522i 0.110898 + 0.575394i
\(900\) 2.74817 1.41678i 0.0916058 0.0472261i
\(901\) −20.5868 51.4233i −0.685846 1.71316i
\(902\) −13.0701 + 28.6195i −0.435186 + 0.952925i
\(903\) 17.9329 5.20239i 0.596769 0.173125i
\(904\) −2.47030 + 8.41306i −0.0821609 + 0.279814i
\(905\) −13.1802 6.79485i −0.438124 0.225869i
\(906\) 1.20008 12.5678i 0.0398701 0.417538i
\(907\) −45.3090 10.9919i −1.50446 0.364979i −0.602966 0.797767i \(-0.706015\pi\)
−0.901496 + 0.432788i \(0.857530\pi\)
\(908\) −0.717106 0.138211i −0.0237980 0.00458669i
\(909\) 8.68806 + 7.52824i 0.288165 + 0.249696i
\(910\) −20.7123 + 9.37785i −0.686606 + 0.310873i
\(911\) −8.09967 + 3.69900i −0.268354 + 0.122553i −0.545048 0.838405i \(-0.683489\pi\)
0.276694 + 0.960958i \(0.410761\pi\)
\(912\) −3.11454 + 6.04136i −0.103133 + 0.200050i
\(913\) 31.7905 + 33.3409i 1.05211 + 1.10342i
\(914\) 0.487722 1.21827i 0.0161324 0.0402968i
\(915\) 1.86642 + 19.5460i 0.0617018 + 0.646171i
\(916\) 1.95829 13.6202i 0.0647038 0.450025i
\(917\) 41.4664 29.3257i 1.36934 0.968419i
\(918\) −5.64159 + 4.88847i −0.186200 + 0.161343i
\(919\) 27.4516 15.8492i 0.905546 0.522817i 0.0265507 0.999647i \(-0.491548\pi\)
0.878995 + 0.476830i \(0.158214\pi\)
\(920\) −11.2939 + 7.65246i −0.372350 + 0.252294i
\(921\) 6.24915 10.8238i 0.205916 0.356658i
\(922\) −17.3233 5.99564i −0.570511 0.197456i
\(923\) 8.03127 12.4969i 0.264352 0.411340i
\(924\) −4.55427 7.94770i −0.149825 0.261460i
\(925\) −25.9094 11.8324i −0.851897 0.389048i
\(926\) 0.286609 0.225392i 0.00941857 0.00740685i
\(927\) −3.92242 + 3.74002i −0.128829 + 0.122838i
\(928\) 0.193742 + 4.06715i 0.00635990 + 0.133511i
\(929\) −37.3038 26.5639i −1.22390 0.871535i −0.229101 0.973403i \(-0.573579\pi\)
−0.994798 + 0.101868i \(0.967518\pi\)
\(930\) 11.7774 3.45816i 0.386196 0.113397i
\(931\) 20.0454 43.1498i 0.656962 1.41418i
\(932\) −3.08857 + 3.56440i −0.101170 + 0.116756i
\(933\) −13.2197 12.6050i −0.432794 0.412669i
\(934\) 5.48955 + 0.524188i 0.179624 + 0.0171520i
\(935\) −73.4357 + 3.49817i −2.40160 + 0.114403i
\(936\) 2.93582 0.712223i 0.0959604 0.0232797i
\(937\) −6.10543 42.4642i −0.199456 1.38724i −0.805869 0.592094i \(-0.798301\pi\)
0.606413 0.795150i \(-0.292608\pi\)
\(938\) −7.90509 + 1.89060i −0.258110 + 0.0617304i
\(939\) −4.09443 0.588691i −0.133617 0.0192112i
\(940\) 17.0736 + 0.813317i 0.556880 + 0.0265275i
\(941\) 12.5442 2.41770i 0.408930 0.0788148i 0.0193622 0.999813i \(-0.493836\pi\)
0.389568 + 0.920998i \(0.372624\pi\)
\(942\) 17.6269 + 10.1769i 0.574317 + 0.331582i
\(943\) 38.2619 + 20.8670i 1.24598 + 0.679523i
\(944\) 10.4982i 0.341688i
\(945\) 7.12019 2.43847i 0.231620 0.0793233i
\(946\) −20.5554 13.2101i −0.668313 0.429499i
\(947\) −22.5452 + 9.02574i −0.732621 + 0.293297i −0.707818 0.706395i \(-0.750320\pi\)
−0.0248033 + 0.999692i \(0.507896\pi\)
\(948\) 2.39993 + 3.37024i 0.0779462 + 0.109460i
\(949\) 28.4582 + 11.3930i 0.923794 + 0.369831i
\(950\) −4.95455 20.4229i −0.160747 0.662608i
\(951\) −15.9404 24.8037i −0.516902 0.804316i
\(952\) 16.6495 10.6238i 0.539615 0.344319i
\(953\) 2.27363 + 7.74327i 0.0736501 + 0.250829i 0.988086 0.153901i \(-0.0491837\pi\)
−0.914436 + 0.404730i \(0.867365\pi\)
\(954\) 1.40429 7.28612i 0.0454654 0.235897i
\(955\) 29.6605 10.2656i 0.959792 0.332187i
\(956\) −4.65410 + 19.1845i −0.150524 + 0.620470i
\(957\) 8.17719 11.4833i 0.264331 0.371201i
\(958\) −16.2348 + 10.4335i −0.524524 + 0.337091i
\(959\) 35.7723 + 5.26186i 1.15515 + 0.169914i
\(960\) 2.81567 0.404832i 0.0908753 0.0130659i
\(961\) −12.3245 + 1.17685i −0.397565 + 0.0379629i
\(962\) −21.8760 17.2035i −0.705312 0.554663i
\(963\) 6.34179 + 12.3013i 0.204361 + 0.396405i
\(964\) −7.90117 + 22.8289i −0.254479 + 0.735270i
\(965\) 2.90370 0.0934734
\(966\) −11.4283 + 5.51302i −0.367700 + 0.177378i
\(967\) 16.1959 0.520826 0.260413 0.965497i \(-0.416141\pi\)
0.260413 + 0.965497i \(0.416141\pi\)
\(968\) −0.322741 + 0.932498i −0.0103733 + 0.0299716i
\(969\) 23.2497 + 45.0981i 0.746888 + 1.44876i
\(970\) −0.808146 0.635533i −0.0259480 0.0204057i
\(971\) 13.2306 1.26337i 0.424590 0.0405434i 0.119425 0.992843i \(-0.461895\pi\)
0.305164 + 0.952300i \(0.401289\pi\)
\(972\) −0.989821 + 0.142315i −0.0317485 + 0.00456475i
\(973\) −15.0183 37.8698i −0.481466 1.21405i
\(974\) −14.5020 + 9.31987i −0.464674 + 0.298628i
\(975\) −5.41803 + 7.60855i −0.173516 + 0.243669i
\(976\) −1.62732 + 6.70789i −0.0520892 + 0.214714i
\(977\) 6.20373 2.14713i 0.198475 0.0686929i −0.226022 0.974122i \(-0.572572\pi\)
0.424497 + 0.905429i \(0.360451\pi\)
\(978\) 1.14676 5.94995i 0.0366693 0.190259i
\(979\) −10.0828 34.3388i −0.322247 1.09747i
\(980\) −19.5766 + 3.64142i −0.625351 + 0.116321i
\(981\) −2.95262 4.59437i −0.0942700 0.146687i
\(982\) 5.13315 + 21.1591i 0.163805 + 0.675215i
\(983\) 17.1934 + 6.88320i 0.548385 + 0.219540i 0.629275 0.777183i \(-0.283352\pi\)
−0.0808901 + 0.996723i \(0.525776\pi\)
\(984\) −5.27128 7.40247i −0.168042 0.235982i
\(985\) −13.7788 + 5.51621i −0.439030 + 0.175761i
\(986\) 25.5701 + 16.4329i 0.814319 + 0.523331i
\(987\) 15.6008 + 3.05937i 0.496580 + 0.0973809i
\(988\) 20.5334i 0.653255i
\(989\) −20.2694 + 27.1058i −0.644529 + 0.861915i
\(990\) −8.52916 4.92432i −0.271075 0.156505i
\(991\) 15.0403 2.89878i 0.477771 0.0920828i 0.0553200 0.998469i \(-0.482382\pi\)
0.422451 + 0.906386i \(0.361170\pi\)
\(992\) 4.31014 + 0.205317i 0.136847 + 0.00651882i
\(993\) 28.9534 + 4.16287i 0.918809 + 0.132105i
\(994\) 9.44486 8.94730i 0.299573 0.283791i
\(995\) −4.93686 34.3366i −0.156509 1.08854i
\(996\) −12.9309 + 3.13701i −0.409732 + 0.0993999i
\(997\) −6.33919 + 0.301973i −0.200764 + 0.00956358i −0.147723 0.989029i \(-0.547194\pi\)
−0.0530411 + 0.998592i \(0.516891\pi\)
\(998\) 28.1939 + 2.69219i 0.892462 + 0.0852197i
\(999\) 6.66727 + 6.35723i 0.210943 + 0.201134i
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 966.2.be.a.493.15 yes 320
7.5 odd 6 inner 966.2.be.a.355.15 yes 320
23.7 odd 22 inner 966.2.be.a.283.15 yes 320
161.145 even 66 inner 966.2.be.a.145.15 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.be.a.145.15 320 161.145 even 66 inner
966.2.be.a.283.15 yes 320 23.7 odd 22 inner
966.2.be.a.355.15 yes 320 7.5 odd 6 inner
966.2.be.a.493.15 yes 320 1.1 even 1 trivial