Properties

Label 966.2.be.a.19.9
Level $966$
Weight $2$
Character 966.19
Analytic conductor $7.714$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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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 19.9
Character \(\chi\) \(=\) 966.19
Dual form 966.2.be.a.661.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.995472 + 0.0950560i) q^{2} +(0.690079 - 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(-3.73421 + 1.92512i) q^{5} +(0.755750 - 0.654861i) q^{6} +(-0.120285 - 2.64302i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\) \(q+(0.995472 + 0.0950560i) q^{2} +(0.690079 - 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(-3.73421 + 1.92512i) q^{5} +(0.755750 - 0.654861i) q^{6} +(-0.120285 - 2.64302i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(-3.90030 + 1.56144i) q^{10} +(-0.0416810 - 0.436503i) q^{11} +(0.814576 - 0.580057i) q^{12} +(-5.15578 - 0.741289i) q^{13} +(0.131495 - 2.64248i) q^{14} +(-1.18363 + 4.03106i) q^{15} +(0.928368 + 0.371662i) q^{16} +(2.13030 - 6.15511i) q^{17} +(0.0475819 - 0.998867i) q^{18} +(-1.02791 - 2.96994i) q^{19} +(-4.03106 + 1.18363i) q^{20} +(-1.99585 - 1.73684i) q^{21} -0.438489i q^{22} +(2.62699 - 4.01234i) q^{23} +(0.866025 - 0.500000i) q^{24} +(7.33795 - 10.3047i) q^{25} +(-5.06197 - 1.22802i) q^{26} +(-0.755750 - 0.654861i) q^{27} +(0.382083 - 2.61802i) q^{28} +(0.692201 + 0.798842i) q^{29} +(-1.56144 + 3.90030i) q^{30} +(-7.28269 + 1.76676i) q^{31} +(0.888835 + 0.458227i) q^{32} +(-0.344675 - 0.271056i) q^{33} +(2.70574 - 5.92474i) q^{34} +(5.53729 + 9.63801i) q^{35} +(0.142315 - 0.989821i) q^{36} +(-4.90226 + 0.233523i) q^{37} +(-0.740941 - 3.05420i) q^{38} +(-4.09439 + 3.21986i) q^{39} +(-4.12532 + 0.795090i) q^{40} +(-2.23752 + 3.48164i) q^{41} +(-1.82171 - 1.91869i) q^{42} +(-1.00638 - 3.42742i) q^{43} +(0.0416810 - 0.436503i) q^{44} +(2.10062 + 3.63838i) q^{45} +(2.99650 - 3.74446i) q^{46} +(-0.629788 - 0.363608i) q^{47} +(0.909632 - 0.415415i) q^{48} +(-6.97106 + 0.635829i) q^{49} +(8.28425 - 9.56054i) q^{50} +(-2.98458 - 5.78929i) q^{51} +(-4.92231 - 1.70363i) q^{52} +(4.29732 + 5.46449i) q^{53} +(-0.690079 - 0.723734i) q^{54} +(0.995966 + 1.54975i) q^{55} +(0.629211 - 2.56984i) q^{56} +(-2.85878 - 1.30556i) q^{57} +(0.613132 + 0.861023i) q^{58} +(4.62592 + 11.5550i) q^{59} +(-1.92512 + 3.73421i) q^{60} +(10.4092 - 9.92511i) q^{61} +(-7.41765 + 1.06650i) q^{62} +(-2.63430 + 0.245908i) q^{63} +(0.841254 + 0.540641i) q^{64} +(20.6798 - 7.15735i) q^{65} +(-0.317349 - 0.302592i) q^{66} +(-9.78229 - 6.96594i) q^{67} +(3.25667 - 5.64072i) q^{68} +(-1.09104 - 4.67008i) q^{69} +(4.59606 + 10.1207i) q^{70} +(6.16686 + 13.5035i) q^{71} +(0.235759 - 0.971812i) q^{72} +(0.866496 - 4.49581i) q^{73} +(-4.90226 - 0.233523i) q^{74} +(-2.39410 - 12.4218i) q^{75} +(-0.447266 - 3.11080i) q^{76} +(-1.14867 + 0.162668i) q^{77} +(-4.38192 + 2.81609i) q^{78} +(-5.75888 + 7.32301i) q^{79} +(-4.18221 + 0.399353i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-2.55834 + 3.25319i) q^{82} +(-4.57223 + 2.93839i) q^{83} +(-1.63108 - 2.08316i) q^{84} +(3.89432 + 27.0856i) q^{85} +(-0.676027 - 3.50756i) q^{86} +(1.05582 + 0.0502950i) q^{87} +(0.0829845 - 0.430565i) q^{88} +(3.99282 - 16.4586i) q^{89} +(1.74526 + 3.82158i) q^{90} +(-1.33908 + 13.7160i) q^{91} +(3.33886 - 3.44267i) q^{92} +(-3.74696 + 6.48993i) q^{93} +(-0.592373 - 0.421827i) q^{94} +(9.55591 + 9.11154i) q^{95} +(0.945001 - 0.327068i) q^{96} +(-0.135124 - 0.0868386i) q^{97} +(-6.99994 - 0.0296918i) q^{98} +(-0.434025 + 0.0624034i) 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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.995472 + 0.0950560i 0.703905 + 0.0672148i
\(3\) 0.690079 0.723734i 0.398417 0.417848i
\(4\) 0.981929 + 0.189251i 0.490964 + 0.0946256i
\(5\) −3.73421 + 1.92512i −1.66999 + 0.860939i −0.677936 + 0.735121i \(0.737125\pi\)
−0.992053 + 0.125818i \(0.959844\pi\)
\(6\) 0.755750 0.654861i 0.308533 0.267346i
\(7\) −0.120285 2.64302i −0.0454634 0.998966i
\(8\) 0.959493 + 0.281733i 0.339232 + 0.0996075i
\(9\) −0.0475819 0.998867i −0.0158606 0.332956i
\(10\) −3.90030 + 1.56144i −1.23338 + 0.493772i
\(11\) −0.0416810 0.436503i −0.0125673 0.131611i 0.987011 0.160653i \(-0.0513601\pi\)
−0.999578 + 0.0290428i \(0.990754\pi\)
\(12\) 0.814576 0.580057i 0.235148 0.167448i
\(13\) −5.15578 0.741289i −1.42995 0.205596i −0.616560 0.787308i \(-0.711474\pi\)
−0.813395 + 0.581712i \(0.802383\pi\)
\(14\) 0.131495 2.64248i 0.0351434 0.706233i
\(15\) −1.18363 + 4.03106i −0.305611 + 1.04081i
\(16\) 0.928368 + 0.371662i 0.232092 + 0.0929156i
\(17\) 2.13030 6.15511i 0.516675 1.49283i −0.321222 0.947004i \(-0.604093\pi\)
0.837896 0.545829i \(-0.183785\pi\)
\(18\) 0.0475819 0.998867i 0.0112152 0.235435i
\(19\) −1.02791 2.96994i −0.235818 0.681351i −0.999366 0.0356003i \(-0.988666\pi\)
0.763548 0.645751i \(-0.223456\pi\)
\(20\) −4.03106 + 1.18363i −0.901372 + 0.264667i
\(21\) −1.99585 1.73684i −0.435529 0.379009i
\(22\) 0.438489i 0.0934861i
\(23\) 2.62699 4.01234i 0.547766 0.836631i
\(24\) 0.866025 0.500000i 0.176777 0.102062i
\(25\) 7.33795 10.3047i 1.46759 2.06094i
\(26\) −5.06197 1.22802i −0.992733 0.240834i
\(27\) −0.755750 0.654861i −0.145444 0.126028i
\(28\) 0.382083 2.61802i 0.0722069 0.494759i
\(29\) 0.692201 + 0.798842i 0.128538 + 0.148341i 0.816370 0.577529i \(-0.195983\pi\)
−0.687832 + 0.725870i \(0.741437\pi\)
\(30\) −1.56144 + 3.90030i −0.285079 + 0.712093i
\(31\) −7.28269 + 1.76676i −1.30801 + 0.317320i −0.828387 0.560156i \(-0.810741\pi\)
−0.479622 + 0.877475i \(0.659226\pi\)
\(32\) 0.888835 + 0.458227i 0.157125 + 0.0810038i
\(33\) −0.344675 0.271056i −0.0600003 0.0471847i
\(34\) 2.70574 5.92474i 0.464030 1.01608i
\(35\) 5.53729 + 9.63801i 0.935972 + 1.62912i
\(36\) 0.142315 0.989821i 0.0237191 0.164970i
\(37\) −4.90226 + 0.233523i −0.805926 + 0.0383910i −0.446501 0.894783i \(-0.647330\pi\)
−0.359425 + 0.933174i \(0.617027\pi\)
\(38\) −0.740941 3.05420i −0.120197 0.495457i
\(39\) −4.09439 + 3.21986i −0.655627 + 0.515591i
\(40\) −4.12532 + 0.795090i −0.652270 + 0.125715i
\(41\) −2.23752 + 3.48164i −0.349441 + 0.543741i −0.970832 0.239759i \(-0.922931\pi\)
0.621391 + 0.783501i \(0.286568\pi\)
\(42\) −1.82171 1.91869i −0.281096 0.296060i
\(43\) −1.00638 3.42742i −0.153472 0.522677i 0.846481 0.532419i \(-0.178717\pi\)
−0.999953 + 0.00974258i \(0.996899\pi\)
\(44\) 0.0416810 0.436503i 0.00628365 0.0658053i
\(45\) 2.10062 + 3.63838i 0.313142 + 0.542378i
\(46\) 2.99650 3.74446i 0.441809 0.552091i
\(47\) −0.629788 0.363608i −0.0918640 0.0530377i 0.453364 0.891325i \(-0.350224\pi\)
−0.545228 + 0.838288i \(0.683557\pi\)
\(48\) 0.909632 0.415415i 0.131294 0.0599600i
\(49\) −6.97106 + 0.635829i −0.995866 + 0.0908327i
\(50\) 8.28425 9.56054i 1.17157 1.35206i
\(51\) −2.98458 5.78929i −0.417925 0.810662i
\(52\) −4.92231 1.70363i −0.682602 0.236251i
\(53\) 4.29732 + 5.46449i 0.590282 + 0.750605i 0.985813 0.167848i \(-0.0536818\pi\)
−0.395531 + 0.918453i \(0.629439\pi\)
\(54\) −0.690079 0.723734i −0.0939079 0.0984877i
\(55\) 0.995966 + 1.54975i 0.134296 + 0.208969i
\(56\) 0.629211 2.56984i 0.0840819 0.343410i
\(57\) −2.85878 1.30556i −0.378655 0.172926i
\(58\) 0.613132 + 0.861023i 0.0805081 + 0.113058i
\(59\) 4.62592 + 11.5550i 0.602243 + 1.50433i 0.845286 + 0.534314i \(0.179430\pi\)
−0.243043 + 0.970016i \(0.578146\pi\)
\(60\) −1.92512 + 3.73421i −0.248532 + 0.482084i
\(61\) 10.4092 9.92511i 1.33276 1.27078i 0.397140 0.917758i \(-0.370003\pi\)
0.935615 0.353021i \(-0.114846\pi\)
\(62\) −7.41765 + 1.06650i −0.942043 + 0.135445i
\(63\) −2.63430 + 0.245908i −0.331890 + 0.0309815i
\(64\) 0.841254 + 0.540641i 0.105157 + 0.0675801i
\(65\) 20.6798 7.15735i 2.56502 0.887760i
\(66\) −0.317349 0.302592i −0.0390630 0.0372465i
\(67\) −9.78229 6.96594i −1.19510 0.851024i −0.203333 0.979110i \(-0.565178\pi\)
−0.991763 + 0.128085i \(0.959117\pi\)
\(68\) 3.25667 5.64072i 0.394929 0.684037i
\(69\) −1.09104 4.67008i −0.131345 0.562211i
\(70\) 4.59606 + 10.1207i 0.549335 + 1.20966i
\(71\) 6.16686 + 13.5035i 0.731872 + 1.60258i 0.796480 + 0.604664i \(0.206693\pi\)
−0.0646089 + 0.997911i \(0.520580\pi\)
\(72\) 0.235759 0.971812i 0.0277845 0.114529i
\(73\) 0.866496 4.49581i 0.101416 0.526195i −0.895317 0.445429i \(-0.853051\pi\)
0.996733 0.0807658i \(-0.0257366\pi\)
\(74\) −4.90226 0.233523i −0.569876 0.0271465i
\(75\) −2.39410 12.4218i −0.276447 1.43435i
\(76\) −0.447266 3.11080i −0.0513049 0.356834i
\(77\) −1.14867 + 0.162668i −0.130903 + 0.0185378i
\(78\) −4.38192 + 2.81609i −0.496154 + 0.318859i
\(79\) −5.75888 + 7.32301i −0.647924 + 0.823903i −0.993421 0.114517i \(-0.963468\pi\)
0.345497 + 0.938420i \(0.387710\pi\)
\(80\) −4.18221 + 0.399353i −0.467586 + 0.0446490i
\(81\) −0.995472 + 0.0950560i −0.110608 + 0.0105618i
\(82\) −2.55834 + 3.25319i −0.282521 + 0.359255i
\(83\) −4.57223 + 2.93839i −0.501867 + 0.322530i −0.766963 0.641692i \(-0.778233\pi\)
0.265096 + 0.964222i \(0.414596\pi\)
\(84\) −1.63108 2.08316i −0.177965 0.227292i
\(85\) 3.89432 + 27.0856i 0.422398 + 2.93784i
\(86\) −0.676027 3.50756i −0.0728979 0.378230i
\(87\) 1.05582 + 0.0502950i 0.113196 + 0.00539219i
\(88\) 0.0829845 0.430565i 0.00884618 0.0458983i
\(89\) 3.99282 16.4586i 0.423238 1.74461i −0.216753 0.976227i \(-0.569546\pi\)
0.639990 0.768383i \(-0.278938\pi\)
\(90\) 1.74526 + 3.82158i 0.183966 + 0.402830i
\(91\) −1.33908 + 13.7160i −0.140373 + 1.43782i
\(92\) 3.33886 3.44267i 0.348100 0.358923i
\(93\) −3.74696 + 6.48993i −0.388542 + 0.672975i
\(94\) −0.592373 0.421827i −0.0610986 0.0435081i
\(95\) 9.55591 + 9.11154i 0.980415 + 0.934824i
\(96\) 0.945001 0.327068i 0.0964487 0.0333812i
\(97\) −0.135124 0.0868386i −0.0137197 0.00881713i 0.533763 0.845634i \(-0.320777\pi\)
−0.547483 + 0.836817i \(0.684414\pi\)
\(98\) −6.99994 0.0296918i −0.707100 0.00299933i
\(99\) −0.434025 + 0.0624034i −0.0436212 + 0.00627178i
\(100\) 9.15553 8.72978i 0.915553 0.872978i
\(101\) −0.128901 + 0.250034i −0.0128262 + 0.0248793i −0.895161 0.445742i \(-0.852940\pi\)
0.882335 + 0.470621i \(0.155970\pi\)
\(102\) −2.42076 6.04677i −0.239691 0.598720i
\(103\) 2.88585 + 4.05261i 0.284352 + 0.399316i 0.931904 0.362705i \(-0.118147\pi\)
−0.647552 + 0.762021i \(0.724207\pi\)
\(104\) −4.73809 2.16381i −0.464607 0.212179i
\(105\) 10.7965 + 2.64347i 1.05363 + 0.257976i
\(106\) 3.75843 + 5.84823i 0.365051 + 0.568030i
\(107\) −9.97964 10.4663i −0.964768 1.01182i −0.999923 0.0124374i \(-0.996041\pi\)
0.0351549 0.999382i \(-0.488808\pi\)
\(108\) −0.618159 0.786053i −0.0594824 0.0756380i
\(109\) 3.53524 + 1.22356i 0.338615 + 0.117196i 0.491083 0.871113i \(-0.336601\pi\)
−0.152468 + 0.988308i \(0.548722\pi\)
\(110\) 0.844143 + 1.63741i 0.0804859 + 0.156121i
\(111\) −3.21394 + 3.70908i −0.305053 + 0.352050i
\(112\) 0.870641 2.49840i 0.0822679 0.236076i
\(113\) 2.96217 1.35278i 0.278657 0.127259i −0.271184 0.962527i \(-0.587415\pi\)
0.549842 + 0.835269i \(0.314688\pi\)
\(114\) −2.72174 1.57140i −0.254914 0.147175i
\(115\) −2.08551 + 20.0402i −0.194475 + 1.86876i
\(116\) 0.528510 + 0.915406i 0.0490709 + 0.0849933i
\(117\) −0.495127 + 5.18521i −0.0457745 + 0.479373i
\(118\) 3.50660 + 11.9424i 0.322809 + 1.09938i
\(119\) −16.5243 4.89006i −1.51478 0.448271i
\(120\) −2.27136 + 3.53431i −0.207346 + 0.322637i
\(121\) 10.6124 2.04538i 0.964765 0.185943i
\(122\) 11.3055 8.89071i 1.02355 0.804927i
\(123\) 0.975721 + 4.02198i 0.0879778 + 0.362649i
\(124\) −7.48544 + 0.356576i −0.672213 + 0.0320214i
\(125\) −4.57417 + 31.8140i −0.409126 + 2.84553i
\(126\) −2.64575 0.00561124i −0.235702 0.000499889i
\(127\) 4.20985 9.21828i 0.373564 0.817990i −0.625717 0.780051i \(-0.715193\pi\)
0.999280 0.0379395i \(-0.0120794\pi\)
\(128\) 0.786053 + 0.618159i 0.0694779 + 0.0546381i
\(129\) −3.17502 1.63684i −0.279545 0.144116i
\(130\) 21.2665 5.15920i 1.86520 0.452492i
\(131\) −2.72423 + 6.80481i −0.238017 + 0.594539i −0.998496 0.0548242i \(-0.982540\pi\)
0.760479 + 0.649363i \(0.224964\pi\)
\(132\) −0.287149 0.331388i −0.0249931 0.0288436i
\(133\) −7.72596 + 3.07401i −0.669926 + 0.266551i
\(134\) −9.07584 7.86426i −0.784033 0.679368i
\(135\) 4.08281 + 0.990479i 0.351393 + 0.0852469i
\(136\) 3.77811 5.30561i 0.323970 0.454952i
\(137\) 7.58877 4.38138i 0.648353 0.374327i −0.139472 0.990226i \(-0.544541\pi\)
0.787825 + 0.615899i \(0.211207\pi\)
\(138\) −0.642176 4.75264i −0.0546657 0.404572i
\(139\) 1.19812i 0.101623i −0.998708 0.0508116i \(-0.983819\pi\)
0.998708 0.0508116i \(-0.0161808\pi\)
\(140\) 3.61322 + 10.5118i 0.305372 + 0.888407i
\(141\) −0.697759 + 0.204881i −0.0587619 + 0.0172541i
\(142\) 4.85534 + 14.0286i 0.407451 + 1.17725i
\(143\) −0.108677 + 2.28141i −0.00908802 + 0.190781i
\(144\) 0.327068 0.945001i 0.0272557 0.0787501i
\(145\) −4.12269 1.65048i −0.342371 0.137065i
\(146\) 1.28993 4.39308i 0.106755 0.363574i
\(147\) −4.35041 + 5.48397i −0.358816 + 0.452310i
\(148\) −4.85786 0.698455i −0.399314 0.0574127i
\(149\) −17.0847 + 12.1660i −1.39963 + 0.996675i −0.402958 + 0.915218i \(0.632018\pi\)
−0.996677 + 0.0814570i \(0.974043\pi\)
\(150\) −1.20250 12.5931i −0.0981835 1.02822i
\(151\) 2.61523 1.04698i 0.212824 0.0852020i −0.262801 0.964850i \(-0.584646\pi\)
0.475625 + 0.879648i \(0.342222\pi\)
\(152\) −0.149540 3.13923i −0.0121293 0.254625i
\(153\) −6.24950 1.83502i −0.505242 0.148353i
\(154\) −1.15893 + 0.0527435i −0.0933894 + 0.00425019i
\(155\) 23.7939 20.6175i 1.91117 1.65604i
\(156\) −4.62976 + 2.38681i −0.370677 + 0.191098i
\(157\) 8.50957 + 1.64009i 0.679138 + 0.130893i 0.517144 0.855899i \(-0.326995\pi\)
0.161994 + 0.986792i \(0.448207\pi\)
\(158\) −6.42890 + 6.74243i −0.511456 + 0.536399i
\(159\) 6.92032 + 0.660811i 0.548817 + 0.0524057i
\(160\) −4.20124 −0.332137
\(161\) −10.9207 6.46056i −0.860670 0.509164i
\(162\) −1.00000 −0.0785674
\(163\) 7.37006 + 0.703755i 0.577268 + 0.0551224i 0.379607 0.925148i \(-0.376059\pi\)
0.197661 + 0.980270i \(0.436665\pi\)
\(164\) −2.85599 + 2.99527i −0.223015 + 0.233891i
\(165\) 1.80890 + 0.348638i 0.140823 + 0.0271414i
\(166\) −4.83083 + 2.49047i −0.374945 + 0.193298i
\(167\) 13.7966 11.9548i 1.06761 0.925093i 0.0702415 0.997530i \(-0.477623\pi\)
0.997373 + 0.0724368i \(0.0230776\pi\)
\(168\) −1.42568 2.22878i −0.109993 0.171954i
\(169\) 13.5591 + 3.98131i 1.04301 + 0.306255i
\(170\) 1.30204 + 27.3331i 0.0998616 + 2.09635i
\(171\) −2.91767 + 1.16806i −0.223120 + 0.0893236i
\(172\) −0.339551 3.55594i −0.0258905 0.271138i
\(173\) 4.78083 3.40441i 0.363480 0.258833i −0.383696 0.923460i \(-0.625349\pi\)
0.747175 + 0.664627i \(0.231409\pi\)
\(174\) 1.04626 + 0.150430i 0.0793168 + 0.0114040i
\(175\) −28.1182 18.1548i −2.12553 1.37238i
\(176\) 0.123537 0.420727i 0.00931192 0.0317135i
\(177\) 11.5550 + 4.62592i 0.868525 + 0.347705i
\(178\) 5.53923 16.0045i 0.415183 1.19959i
\(179\) 0.0930979 1.95437i 0.00695847 0.146076i −0.992714 0.120493i \(-0.961553\pi\)
0.999673 0.0255835i \(-0.00814438\pi\)
\(180\) 1.37409 + 3.97017i 0.102419 + 0.295919i
\(181\) −11.2254 + 3.29608i −0.834378 + 0.244995i −0.670896 0.741551i \(-0.734090\pi\)
−0.163481 + 0.986546i \(0.552272\pi\)
\(182\) −2.63680 + 13.5266i −0.195452 + 1.00266i
\(183\) 14.3826i 1.06319i
\(184\) 3.65099 3.10971i 0.269155 0.229251i
\(185\) 17.8565 10.3095i 1.31284 0.757966i
\(186\) −4.34691 + 6.10437i −0.318731 + 0.447594i
\(187\) −2.77552 0.673333i −0.202966 0.0492390i
\(188\) −0.549594 0.476226i −0.0400832 0.0347323i
\(189\) −1.63990 + 2.07623i −0.119285 + 0.151023i
\(190\) 8.64653 + 9.97863i 0.627285 + 0.723926i
\(191\) 8.59409 21.4670i 0.621846 1.55330i −0.197687 0.980265i \(-0.563343\pi\)
0.819533 0.573032i \(-0.194233\pi\)
\(192\) 0.971812 0.235759i 0.0701345 0.0170144i
\(193\) −2.75711 1.42139i −0.198461 0.102314i 0.356131 0.934436i \(-0.384096\pi\)
−0.554593 + 0.832122i \(0.687126\pi\)
\(194\) −0.126257 0.0992897i −0.00906474 0.00712859i
\(195\) 9.09069 19.9058i 0.650998 1.42549i
\(196\) −6.96542 0.694944i −0.497530 0.0496388i
\(197\) 0.153948 1.07073i 0.0109683 0.0762864i −0.983602 0.180352i \(-0.942276\pi\)
0.994570 + 0.104066i \(0.0331853\pi\)
\(198\) −0.437992 + 0.0208641i −0.0311267 + 0.00148275i
\(199\) −2.47872 10.2174i −0.175712 0.724295i −0.989669 0.143370i \(-0.954206\pi\)
0.813957 0.580925i \(-0.197309\pi\)
\(200\) 9.94389 7.81996i 0.703139 0.552955i
\(201\) −11.7920 + 2.27273i −0.831746 + 0.160306i
\(202\) −0.152085 + 0.236649i −0.0107006 + 0.0166505i
\(203\) 2.02809 1.92559i 0.142344 0.135150i
\(204\) −1.83502 6.24950i −0.128477 0.437553i
\(205\) 1.65278 17.3087i 0.115435 1.20889i
\(206\) 2.48756 + 4.30858i 0.173317 + 0.300193i
\(207\) −4.13280 2.43310i −0.287249 0.169112i
\(208\) −4.51095 2.60440i −0.312778 0.180582i
\(209\) −1.25354 + 0.572474i −0.0867095 + 0.0395989i
\(210\) 10.4964 + 3.65777i 0.724318 + 0.252410i
\(211\) 12.2065 14.0870i 0.840328 0.969790i −0.159521 0.987195i \(-0.550995\pi\)
0.999849 + 0.0174046i \(0.00554034\pi\)
\(212\) 3.18550 + 6.17901i 0.218781 + 0.424376i
\(213\) 14.0286 + 4.85534i 0.961223 + 0.332683i
\(214\) −8.93956 11.3676i −0.611096 0.777071i
\(215\) 10.3562 + 10.8613i 0.706289 + 0.740735i
\(216\) −0.540641 0.841254i −0.0367859 0.0572401i
\(217\) 5.54557 + 19.0357i 0.376458 + 1.29223i
\(218\) 3.40293 + 1.55407i 0.230475 + 0.105255i
\(219\) −2.65582 3.72958i −0.179464 0.252021i
\(220\) 0.684675 + 1.71024i 0.0461608 + 0.115304i
\(221\) −15.5461 + 30.1552i −1.04574 + 2.02846i
\(222\) −3.55196 + 3.38678i −0.238392 + 0.227306i
\(223\) −9.40103 + 1.35166i −0.629540 + 0.0905141i −0.449697 0.893181i \(-0.648468\pi\)
−0.179843 + 0.983695i \(0.557559\pi\)
\(224\) 1.10419 2.40432i 0.0737766 0.160646i
\(225\) −10.6422 6.83932i −0.709480 0.455955i
\(226\) 3.07735 1.06508i 0.204702 0.0708480i
\(227\) 7.07800 + 6.74886i 0.469783 + 0.447937i 0.887614 0.460587i \(-0.152361\pi\)
−0.417831 + 0.908525i \(0.637210\pi\)
\(228\) −2.56004 1.82300i −0.169543 0.120731i
\(229\) −0.825961 + 1.43061i −0.0545810 + 0.0945371i −0.892025 0.451986i \(-0.850716\pi\)
0.837444 + 0.546523i \(0.184049\pi\)
\(230\) −3.98101 + 19.7512i −0.262500 + 1.30236i
\(231\) −0.674945 + 0.943586i −0.0444081 + 0.0620834i
\(232\) 0.439102 + 0.961499i 0.0288284 + 0.0631255i
\(233\) 2.21715 9.13921i 0.145250 0.598729i −0.851928 0.523659i \(-0.824567\pi\)
0.997178 0.0750705i \(-0.0239182\pi\)
\(234\) −0.985771 + 5.11466i −0.0644418 + 0.334356i
\(235\) 3.05175 + 0.145373i 0.199074 + 0.00948307i
\(236\) 2.35552 + 12.2216i 0.153332 + 0.795560i
\(237\) 1.32583 + 9.22135i 0.0861219 + 0.598991i
\(238\) −15.9846 6.43865i −1.03613 0.417356i
\(239\) −11.7072 + 7.52377i −0.757276 + 0.486672i −0.861422 0.507890i \(-0.830426\pi\)
0.104145 + 0.994562i \(0.466789\pi\)
\(240\) −2.59703 + 3.30240i −0.167638 + 0.213169i
\(241\) 4.53925 0.433445i 0.292398 0.0279207i 0.0521739 0.998638i \(-0.483385\pi\)
0.240225 + 0.970717i \(0.422779\pi\)
\(242\) 10.7588 1.02734i 0.691601 0.0660399i
\(243\) −0.618159 + 0.786053i −0.0396549 + 0.0504253i
\(244\) 12.0994 7.77580i 0.774584 0.497795i
\(245\) 24.8074 15.7944i 1.58488 1.00907i
\(246\) 0.588989 + 4.09651i 0.0375526 + 0.261184i
\(247\) 3.09807 + 16.0743i 0.197126 + 1.02278i
\(248\) −7.48544 0.356576i −0.475326 0.0226426i
\(249\) −1.02858 + 5.33680i −0.0651838 + 0.338206i
\(250\) −7.57757 + 31.2352i −0.479248 + 1.97549i
\(251\) 10.8134 + 23.6781i 0.682539 + 1.49455i 0.859930 + 0.510411i \(0.170507\pi\)
−0.177392 + 0.984140i \(0.556766\pi\)
\(252\) −2.63323 0.257080i −0.165878 0.0161945i
\(253\) −1.86090 0.979453i −0.116994 0.0615777i
\(254\) 5.06704 8.77637i 0.317934 0.550678i
\(255\) 22.2901 + 15.8727i 1.39586 + 0.993989i
\(256\) 0.723734 + 0.690079i 0.0452334 + 0.0431299i
\(257\) −14.2945 + 4.94738i −0.891668 + 0.308609i −0.734215 0.678917i \(-0.762450\pi\)
−0.157453 + 0.987526i \(0.550328\pi\)
\(258\) −3.00505 1.93123i −0.187087 0.120233i
\(259\) 1.20687 + 12.9287i 0.0749914 + 0.803348i
\(260\) 21.6606 3.11433i 1.34334 0.193143i
\(261\) 0.765001 0.729427i 0.0473524 0.0451504i
\(262\) −3.35874 + 6.51504i −0.207503 + 0.402501i
\(263\) −1.79976 4.49558i −0.110978 0.277209i 0.862474 0.506102i \(-0.168914\pi\)
−0.973452 + 0.228892i \(0.926490\pi\)
\(264\) −0.254348 0.357182i −0.0156541 0.0219831i
\(265\) −26.5669 12.1327i −1.63199 0.745305i
\(266\) −7.98318 + 2.32569i −0.489480 + 0.142597i
\(267\) −9.15630 14.2475i −0.560356 0.871932i
\(268\) −8.28720 8.69136i −0.506221 0.530909i
\(269\) −0.0335472 0.0426587i −0.00204541 0.00260095i 0.785029 0.619459i \(-0.212648\pi\)
−0.787075 + 0.616858i \(0.788405\pi\)
\(270\) 3.97017 + 1.37409i 0.241617 + 0.0836245i
\(271\) −3.24823 6.30069i −0.197316 0.382740i 0.769332 0.638850i \(-0.220589\pi\)
−0.966648 + 0.256110i \(0.917559\pi\)
\(272\) 4.26533 4.92245i 0.258624 0.298468i
\(273\) 9.00264 + 10.4342i 0.544865 + 0.631508i
\(274\) 7.97089 3.64018i 0.481539 0.219911i
\(275\) −4.80389 2.77353i −0.289686 0.167250i
\(276\) −0.187501 4.79216i −0.0112862 0.288454i
\(277\) 15.3251 + 26.5439i 0.920799 + 1.59487i 0.798183 + 0.602416i \(0.205795\pi\)
0.122616 + 0.992454i \(0.460872\pi\)
\(278\) 0.113889 1.19269i 0.00683058 0.0715331i
\(279\) 2.11128 + 7.19037i 0.126399 + 0.430476i
\(280\) 2.59765 + 10.8076i 0.155239 + 0.645880i
\(281\) 13.3224 20.7301i 0.794749 1.23665i −0.173047 0.984914i \(-0.555361\pi\)
0.967795 0.251739i \(-0.0810025\pi\)
\(282\) −0.714075 + 0.137627i −0.0425225 + 0.00819555i
\(283\) 8.66793 6.81653i 0.515255 0.405201i −0.326388 0.945236i \(-0.605831\pi\)
0.841642 + 0.540035i \(0.181589\pi\)
\(284\) 3.49985 + 14.4266i 0.207678 + 0.856061i
\(285\) 13.1887 0.628253i 0.781229 0.0372145i
\(286\) −0.325047 + 2.26075i −0.0192204 + 0.133681i
\(287\) 9.47118 + 5.49500i 0.559066 + 0.324360i
\(288\) 0.415415 0.909632i 0.0244786 0.0536006i
\(289\) −19.9843 15.7158i −1.17555 0.924459i
\(290\) −3.94713 2.03489i −0.231784 0.119493i
\(291\) −0.156094 + 0.0378680i −0.00915039 + 0.00221986i
\(292\) 1.70167 4.25058i 0.0995830 0.248746i
\(293\) −15.5838 17.9847i −0.910415 1.05067i −0.998510 0.0545629i \(-0.982623\pi\)
0.0880953 0.996112i \(-0.471922\pi\)
\(294\) −4.85200 + 5.04560i −0.282974 + 0.294266i
\(295\) −39.5188 34.2433i −2.30088 1.99372i
\(296\) −4.76947 1.15706i −0.277220 0.0672529i
\(297\) −0.254348 + 0.357182i −0.0147588 + 0.0207258i
\(298\) −18.1638 + 10.4869i −1.05220 + 0.607489i
\(299\) −16.5185 + 18.7394i −0.955289 + 1.08373i
\(300\) 12.6504i 0.730371i
\(301\) −8.93767 + 3.07215i −0.515159 + 0.177076i
\(302\) 2.70291 0.793645i 0.155535 0.0456692i
\(303\) 0.0920058 + 0.265833i 0.00528559 + 0.0152717i
\(304\) 0.149540 3.13923i 0.00857671 0.180047i
\(305\) −19.7629 + 57.1013i −1.13162 + 3.26961i
\(306\) −6.04677 2.42076i −0.345671 0.138386i
\(307\) 4.10360 13.9756i 0.234205 0.797628i −0.755580 0.655057i \(-0.772645\pi\)
0.989785 0.142571i \(-0.0455370\pi\)
\(308\) −1.15870 0.0576589i −0.0660230 0.00328542i
\(309\) 4.92448 + 0.708034i 0.280144 + 0.0402786i
\(310\) 25.6459 18.2624i 1.45659 1.03723i
\(311\) 0.245993 + 2.57616i 0.0139490 + 0.146081i 0.999763 0.0217595i \(-0.00692681\pi\)
−0.985814 + 0.167840i \(0.946321\pi\)
\(312\) −4.83568 + 1.93591i −0.273766 + 0.109599i
\(313\) 1.28575 + 26.9913i 0.0726751 + 1.52564i 0.681196 + 0.732101i \(0.261460\pi\)
−0.608521 + 0.793538i \(0.708237\pi\)
\(314\) 8.31514 + 2.44155i 0.469250 + 0.137784i
\(315\) 9.36362 5.98961i 0.527580 0.337476i
\(316\) −7.04070 + 6.10080i −0.396070 + 0.343197i
\(317\) 14.2513 7.34706i 0.800433 0.412652i −0.00893011 0.999960i \(-0.502843\pi\)
0.809364 + 0.587308i \(0.199812\pi\)
\(318\) 6.82617 + 1.31564i 0.382793 + 0.0737773i
\(319\) 0.319845 0.335444i 0.0179079 0.0187813i
\(320\) −4.18221 0.399353i −0.233793 0.0223245i
\(321\) −14.4616 −0.807167
\(322\) −10.2571 7.46939i −0.571606 0.416253i
\(323\) −20.4701 −1.13898
\(324\) −0.995472 0.0950560i −0.0553040 0.00528089i
\(325\) −45.4716 + 47.6893i −2.52231 + 2.64532i
\(326\) 7.26979 + 1.40114i 0.402637 + 0.0776018i
\(327\) 3.32513 1.71422i 0.183880 0.0947967i
\(328\) −3.12777 + 2.71023i −0.172702 + 0.149647i
\(329\) −0.885268 + 1.70828i −0.0488064 + 0.0941803i
\(330\) 1.76757 + 0.519006i 0.0973017 + 0.0285704i
\(331\) 0.0987639 + 2.07331i 0.00542855 + 0.113959i 0.999955 + 0.00947524i \(0.00301611\pi\)
−0.994527 + 0.104484i \(0.966681\pi\)
\(332\) −5.04569 + 2.01999i −0.276918 + 0.110861i
\(333\) 0.466518 + 4.88560i 0.0255650 + 0.267729i
\(334\) 14.8705 10.5893i 0.813679 0.579418i
\(335\) 49.9394 + 7.18020i 2.72848 + 0.392296i
\(336\) −1.20736 2.35420i −0.0658671 0.128432i
\(337\) −2.26286 + 7.70660i −0.123266 + 0.419805i −0.997885 0.0650057i \(-0.979293\pi\)
0.874619 + 0.484811i \(0.161112\pi\)
\(338\) 13.1193 + 5.25216i 0.713594 + 0.285680i
\(339\) 1.06508 3.07735i 0.0578472 0.167138i
\(340\) −1.30204 + 27.3331i −0.0706128 + 1.48235i
\(341\) 1.07475 + 3.10528i 0.0582008 + 0.168160i
\(342\) −3.01549 + 0.885427i −0.163059 + 0.0478784i
\(343\) 2.51902 + 18.3481i 0.136014 + 0.990707i
\(344\) 3.57212i 0.192596i
\(345\) 13.0646 + 15.3387i 0.703375 + 0.825807i
\(346\) 5.08279 2.93455i 0.273252 0.157762i
\(347\) 3.79685 5.33193i 0.203826 0.286233i −0.699992 0.714150i \(-0.746813\pi\)
0.903818 + 0.427918i \(0.140753\pi\)
\(348\) 1.02722 + 0.249202i 0.0550650 + 0.0133586i
\(349\) 8.23359 + 7.13445i 0.440734 + 0.381898i 0.846770 0.531959i \(-0.178544\pi\)
−0.406036 + 0.913857i \(0.633089\pi\)
\(350\) −26.2651 20.7454i −1.40393 1.10889i
\(351\) 3.41103 + 3.93654i 0.182068 + 0.210117i
\(352\) 0.162970 0.407079i 0.00868632 0.0216974i
\(353\) −19.6767 + 4.77352i −1.04729 + 0.254069i −0.722250 0.691632i \(-0.756892\pi\)
−0.325037 + 0.945701i \(0.605377\pi\)
\(354\) 11.0629 + 5.70334i 0.587988 + 0.303129i
\(355\) −49.0243 38.5531i −2.60194 2.04619i
\(356\) 7.03547 15.4055i 0.372879 0.816492i
\(357\) −14.9422 + 8.58467i −0.790824 + 0.454349i
\(358\) 0.278451 1.93667i 0.0147166 0.102356i
\(359\) 20.3140 0.967677i 1.07213 0.0510720i 0.495918 0.868369i \(-0.334832\pi\)
0.576216 + 0.817297i \(0.304529\pi\)
\(360\) 0.990479 + 4.08281i 0.0522029 + 0.215183i
\(361\) 7.17105 5.63938i 0.377424 0.296809i
\(362\) −11.4879 + 2.21411i −0.603790 + 0.116371i
\(363\) 5.84310 9.09204i 0.306683 0.477208i
\(364\) −3.91064 + 13.2147i −0.204973 + 0.692637i
\(365\) 5.41929 + 18.4564i 0.283658 + 0.966052i
\(366\) 1.36715 14.3174i 0.0714621 0.748384i
\(367\) −8.95180 15.5050i −0.467280 0.809353i 0.532021 0.846731i \(-0.321433\pi\)
−0.999301 + 0.0373783i \(0.988099\pi\)
\(368\) 3.93005 2.74858i 0.204868 0.143279i
\(369\) 3.58416 + 2.06932i 0.186584 + 0.107724i
\(370\) 18.7556 8.56541i 0.975058 0.445294i
\(371\) 13.9258 12.0152i 0.722992 0.623797i
\(372\) −4.90748 + 5.66353i −0.254441 + 0.293641i
\(373\) −9.90740 19.2177i −0.512986 0.995054i −0.993036 0.117813i \(-0.962412\pi\)
0.480050 0.877241i \(-0.340618\pi\)
\(374\) −2.69895 0.934114i −0.139559 0.0483019i
\(375\) 19.8684 + 25.2647i 1.02600 + 1.30466i
\(376\) −0.501837 0.526311i −0.0258803 0.0271424i
\(377\) −2.97666 4.63177i −0.153306 0.238548i
\(378\) −1.82983 + 1.91094i −0.0941165 + 0.0982883i
\(379\) −14.4956 6.61990i −0.744587 0.340041i 0.00673512 0.999977i \(-0.497856\pi\)
−0.751322 + 0.659936i \(0.770583\pi\)
\(380\) 7.65885 + 10.7553i 0.392891 + 0.551738i
\(381\) −3.76646 9.40815i −0.192961 0.481994i
\(382\) 10.5957 20.5529i 0.542125 1.05158i
\(383\) 6.41031 6.11222i 0.327552 0.312320i −0.508402 0.861120i \(-0.669764\pi\)
0.835954 + 0.548800i \(0.184915\pi\)
\(384\) 0.989821 0.142315i 0.0505116 0.00726247i
\(385\) 3.97622 2.81877i 0.202647 0.143658i
\(386\) −2.60952 1.67703i −0.132821 0.0853588i
\(387\) −3.37565 + 1.16832i −0.171594 + 0.0593893i
\(388\) −0.116247 0.110842i −0.00590157 0.00562713i
\(389\) −23.7858 16.9378i −1.20599 0.858781i −0.213008 0.977050i \(-0.568326\pi\)
−0.992982 + 0.118269i \(0.962265\pi\)
\(390\) 10.9417 18.9516i 0.554054 0.959650i
\(391\) −19.1001 24.7170i −0.965934 1.24999i
\(392\) −6.86782 1.35390i −0.346877 0.0683824i
\(393\) 3.04493 + 6.66748i 0.153597 + 0.336330i
\(394\) 0.255030 1.05125i 0.0128482 0.0529611i
\(395\) 7.40720 38.4322i 0.372696 1.93373i
\(396\) −0.437992 0.0208641i −0.0220099 0.00104846i
\(397\) −4.30746 22.3492i −0.216185 1.12168i −0.914098 0.405493i \(-0.867100\pi\)
0.697913 0.716183i \(-0.254112\pi\)
\(398\) −1.49627 10.4068i −0.0750012 0.521645i
\(399\) −3.10675 + 7.71285i −0.155532 + 0.386125i
\(400\) 10.6422 6.83932i 0.532110 0.341966i
\(401\) −13.5593 + 17.2420i −0.677119 + 0.861027i −0.996235 0.0866887i \(-0.972371\pi\)
0.319117 + 0.947715i \(0.396614\pi\)
\(402\) −11.9547 + 1.14153i −0.596245 + 0.0569345i
\(403\) 38.8576 3.71045i 1.93563 0.184831i
\(404\) −0.173891 + 0.221120i −0.00865140 + 0.0110012i
\(405\) 3.53431 2.27136i 0.175621 0.112865i
\(406\) 2.20195 1.72408i 0.109281 0.0855649i
\(407\) 0.306265 + 2.13012i 0.0151810 + 0.105586i
\(408\) −1.23266 6.39563i −0.0610256 0.316631i
\(409\) 14.6775 + 0.699175i 0.725755 + 0.0345720i 0.407208 0.913335i \(-0.366502\pi\)
0.318546 + 0.947907i \(0.396805\pi\)
\(410\) 3.29059 17.0732i 0.162511 0.843185i
\(411\) 2.06590 8.51575i 0.101903 0.420051i
\(412\) 2.06674 + 4.52553i 0.101821 + 0.222957i
\(413\) 29.9836 13.6163i 1.47539 0.670012i
\(414\) −3.88280 2.81493i −0.190829 0.138346i
\(415\) 11.4169 19.7746i 0.560433 0.970699i
\(416\) −4.24296 3.02140i −0.208028 0.148136i
\(417\) −0.867120 0.826797i −0.0424631 0.0404884i
\(418\) −1.30229 + 0.450725i −0.0636969 + 0.0220457i
\(419\) 23.1709 + 14.8910i 1.13197 + 0.727474i 0.965971 0.258651i \(-0.0832780\pi\)
0.166001 + 0.986126i \(0.446914\pi\)
\(420\) 10.1011 + 4.63895i 0.492885 + 0.226358i
\(421\) 30.1132 4.32962i 1.46763 0.211013i 0.638304 0.769784i \(-0.279636\pi\)
0.829322 + 0.558771i \(0.188727\pi\)
\(422\) 13.4903 12.8629i 0.656695 0.626158i
\(423\) −0.333230 + 0.646376i −0.0162022 + 0.0314279i
\(424\) 2.58372 + 6.45383i 0.125477 + 0.313426i
\(425\) −47.7946 67.1181i −2.31838 3.25571i
\(426\) 13.5035 + 6.16686i 0.654249 + 0.298785i
\(427\) −27.4843 26.3177i −1.33006 1.27360i
\(428\) −7.81852 12.1659i −0.377923 0.588059i
\(429\) 1.57614 + 1.65301i 0.0760967 + 0.0798079i
\(430\) 9.27690 + 11.7965i 0.447372 + 0.568880i
\(431\) −30.5692 10.5801i −1.47247 0.509626i −0.531189 0.847253i \(-0.678255\pi\)
−0.941280 + 0.337627i \(0.890376\pi\)
\(432\) −0.458227 0.888835i −0.0220464 0.0427641i
\(433\) 23.1134 26.6743i 1.11076 1.28188i 0.154942 0.987924i \(-0.450481\pi\)
0.955817 0.293961i \(-0.0949735\pi\)
\(434\) 3.71100 + 19.4767i 0.178134 + 0.934911i
\(435\) −4.03949 + 1.84477i −0.193679 + 0.0884500i
\(436\) 3.23980 + 1.87050i 0.155158 + 0.0895806i
\(437\) −14.6167 3.67770i −0.699213 0.175928i
\(438\) −2.28927 3.96514i −0.109386 0.189462i
\(439\) 2.11899 22.1911i 0.101134 1.05912i −0.792361 0.610052i \(-0.791149\pi\)
0.893496 0.449072i \(-0.148245\pi\)
\(440\) 0.519006 + 1.76757i 0.0247427 + 0.0842658i
\(441\) 0.966805 + 6.93291i 0.0460383 + 0.330139i
\(442\) −18.3421 + 28.5409i −0.872446 + 1.35755i
\(443\) −23.3152 + 4.49364i −1.10774 + 0.213499i −0.710140 0.704060i \(-0.751368\pi\)
−0.397598 + 0.917560i \(0.630156\pi\)
\(444\) −3.85781 + 3.03381i −0.183083 + 0.143978i
\(445\) 16.7748 + 69.1466i 0.795201 + 3.27786i
\(446\) −9.48695 + 0.451919i −0.449220 + 0.0213990i
\(447\) −2.98488 + 20.7603i −0.141180 + 0.981927i
\(448\) 1.32773 2.28848i 0.0627294 0.108120i
\(449\) −8.29842 + 18.1710i −0.391627 + 0.857543i 0.606424 + 0.795141i \(0.292603\pi\)
−0.998051 + 0.0624016i \(0.980124\pi\)
\(450\) −9.94389 7.81996i −0.468759 0.368637i
\(451\) 1.61301 + 0.831564i 0.0759537 + 0.0391568i
\(452\) 3.16465 0.767736i 0.148853 0.0361113i
\(453\) 1.04698 2.61523i 0.0491914 0.122874i
\(454\) 6.40443 + 7.39110i 0.300575 + 0.346882i
\(455\) −21.4045 53.7962i −1.00346 2.52200i
\(456\) −2.37516 2.05809i −0.111227 0.0963789i
\(457\) 25.6094 + 6.21276i 1.19796 + 0.290621i 0.784631 0.619963i \(-0.212852\pi\)
0.413324 + 0.910584i \(0.364368\pi\)
\(458\) −0.958208 + 1.34562i −0.0447741 + 0.0628765i
\(459\) −5.64072 + 3.25667i −0.263286 + 0.152008i
\(460\) −5.84046 + 19.2834i −0.272313 + 0.899092i
\(461\) 1.02769i 0.0478642i −0.999714 0.0239321i \(-0.992381\pi\)
0.999714 0.0239321i \(-0.00761856\pi\)
\(462\) −0.761583 + 0.875156i −0.0354320 + 0.0407159i
\(463\) −15.0244 + 4.41155i −0.698242 + 0.205022i −0.611542 0.791212i \(-0.709450\pi\)
−0.0866999 + 0.996234i \(0.527632\pi\)
\(464\) 0.345717 + 0.998884i 0.0160495 + 0.0463720i
\(465\) 1.49806 31.4481i 0.0694708 1.45837i
\(466\) 3.07585 8.88707i 0.142486 0.411686i
\(467\) −19.5536 7.82809i −0.904834 0.362241i −0.127874 0.991790i \(-0.540815\pi\)
−0.776960 + 0.629550i \(0.783239\pi\)
\(468\) −1.46749 + 4.99780i −0.0678346 + 0.231023i
\(469\) −17.2344 + 26.6926i −0.795811 + 1.23255i
\(470\) 3.02411 + 0.434802i 0.139492 + 0.0200559i
\(471\) 7.05926 5.02688i 0.325274 0.231626i
\(472\) 1.18312 + 12.3902i 0.0544575 + 0.570305i
\(473\) −1.45413 + 0.582147i −0.0668611 + 0.0267671i
\(474\) 0.443282 + 9.30563i 0.0203606 + 0.427422i
\(475\) −38.1471 11.2010i −1.75031 0.513937i
\(476\) −15.3002 7.92894i −0.701285 0.363422i
\(477\) 5.25382 4.55246i 0.240556 0.208443i
\(478\) −12.3694 + 6.37686i −0.565762 + 0.291671i
\(479\) 18.2754 + 3.52229i 0.835023 + 0.160937i 0.588803 0.808277i \(-0.299599\pi\)
0.246220 + 0.969214i \(0.420811\pi\)
\(480\) −2.89919 + 3.04058i −0.132329 + 0.138783i
\(481\) 25.4481 + 2.42999i 1.16033 + 0.110798i
\(482\) 4.55989 0.207697
\(483\) −12.2119 + 3.44536i −0.555659 + 0.156769i
\(484\) 10.8077 0.491260
\(485\) 0.671754 + 0.0641448i 0.0305028 + 0.00291266i
\(486\) −0.690079 + 0.723734i −0.0313026 + 0.0328292i
\(487\) −1.64315 0.316692i −0.0744584 0.0143507i 0.151886 0.988398i \(-0.451465\pi\)
−0.226344 + 0.974047i \(0.572677\pi\)
\(488\) 12.7837 6.59047i 0.578692 0.298337i
\(489\) 5.59526 4.84832i 0.253026 0.219248i
\(490\) 26.1964 13.3648i 1.18343 0.603762i
\(491\) 20.9311 + 6.14593i 0.944608 + 0.277362i 0.717540 0.696517i \(-0.245268\pi\)
0.227068 + 0.973879i \(0.427086\pi\)
\(492\) 0.196924 + 4.13395i 0.00887803 + 0.186373i
\(493\) 6.39156 2.55879i 0.287861 0.115242i
\(494\) 1.55608 + 16.2960i 0.0700114 + 0.733193i
\(495\) 1.50061 1.06858i 0.0674473 0.0480290i
\(496\) −7.41765 1.06650i −0.333062 0.0478871i
\(497\) 34.9483 17.9234i 1.56764 0.803973i
\(498\) −1.53122 + 5.21486i −0.0686156 + 0.233683i
\(499\) −38.8807 15.5655i −1.74054 0.696807i −0.999684 0.0251421i \(-0.991996\pi\)
−0.740855 0.671665i \(-0.765580\pi\)
\(500\) −10.5123 + 30.3734i −0.470126 + 1.35834i
\(501\) 0.868634 18.2349i 0.0388077 0.814674i
\(502\) 8.51373 + 24.5988i 0.379987 + 1.09790i
\(503\) −14.7568 + 4.33299i −0.657974 + 0.193199i −0.593641 0.804730i \(-0.702310\pi\)
−0.0643330 + 0.997928i \(0.520492\pi\)
\(504\) −2.59687 0.506220i −0.115674 0.0225489i
\(505\) 1.18183i 0.0525907i
\(506\) −1.75937 1.15191i −0.0782134 0.0512085i
\(507\) 12.2383 7.06576i 0.543520 0.313802i
\(508\) 5.87834 8.25497i 0.260809 0.366255i
\(509\) 8.59373 + 2.08482i 0.380911 + 0.0924079i 0.421642 0.906762i \(-0.361454\pi\)
−0.0407318 + 0.999170i \(0.512969\pi\)
\(510\) 20.6804 + 17.9197i 0.915743 + 0.793496i
\(511\) −11.9867 1.74939i −0.530261 0.0773882i
\(512\) 0.654861 + 0.755750i 0.0289410 + 0.0333997i
\(513\) −1.16806 + 2.91767i −0.0515710 + 0.128818i
\(514\) −14.7001 + 3.56620i −0.648393 + 0.157298i
\(515\) −18.5781 9.57770i −0.818651 0.422044i
\(516\) −2.80787 2.20814i −0.123610 0.0972077i
\(517\) −0.132466 + 0.290060i −0.00582585 + 0.0127568i
\(518\) −0.0275389 + 12.9848i −0.00120999 + 0.570521i
\(519\) 0.835260 5.80936i 0.0366638 0.255003i
\(520\) 21.8586 1.04125i 0.958563 0.0456620i
\(521\) 6.84817 + 28.2286i 0.300024 + 1.23672i 0.899713 + 0.436482i \(0.143776\pi\)
−0.599689 + 0.800233i \(0.704709\pi\)
\(522\) 0.830874 0.653406i 0.0363663 0.0285988i
\(523\) 9.46550 1.82433i 0.413898 0.0797722i 0.0219484 0.999759i \(-0.493013\pi\)
0.391949 + 0.919987i \(0.371801\pi\)
\(524\) −3.96282 + 6.16627i −0.173117 + 0.269375i
\(525\) −32.5430 + 7.82181i −1.42029 + 0.341372i
\(526\) −1.36428 4.64630i −0.0594853 0.202588i
\(527\) −4.63973 + 48.5895i −0.202110 + 2.11659i
\(528\) −0.219244 0.379742i −0.00954138 0.0165262i
\(529\) −9.19780 21.0808i −0.399904 0.916557i
\(530\) −25.2933 14.6031i −1.09867 0.634318i
\(531\) 11.3218 5.17048i 0.491323 0.224380i
\(532\) −8.16810 + 1.55631i −0.354132 + 0.0674747i
\(533\) 14.1170 16.2919i 0.611477 0.705682i
\(534\) −7.76053 15.0533i −0.335831 0.651421i
\(535\) 57.4150 + 19.8715i 2.48227 + 0.859121i
\(536\) −7.42351 9.43975i −0.320647 0.407735i
\(537\) −1.35020 1.41605i −0.0582653 0.0611069i
\(538\) −0.0293403 0.0456544i −0.00126495 0.00196830i
\(539\) 0.568102 + 3.01639i 0.0244699 + 0.129925i
\(540\) 3.82158 + 1.74526i 0.164455 + 0.0751039i
\(541\) 15.5320 + 21.8117i 0.667775 + 0.937759i 0.999985 0.00544668i \(-0.00173374\pi\)
−0.332210 + 0.943205i \(0.607794\pi\)
\(542\) −2.63461 6.58093i −0.113166 0.282675i
\(543\) −5.36093 + 10.3988i −0.230060 + 0.446253i
\(544\) 4.71392 4.49472i 0.202108 0.192709i
\(545\) −15.5568 + 2.23674i −0.666382 + 0.0958112i
\(546\) 7.97004 + 11.2427i 0.341086 + 0.481145i
\(547\) −7.35636 4.72765i −0.314535 0.202140i 0.373842 0.927492i \(-0.378040\pi\)
−0.688377 + 0.725353i \(0.741677\pi\)
\(548\) 8.28082 2.86602i 0.353739 0.122430i
\(549\) −10.4092 9.92511i −0.444252 0.423593i
\(550\) −4.51850 3.21761i −0.192670 0.137199i
\(551\) 1.66100 2.87693i 0.0707608 0.122561i
\(552\) 0.268872 4.78829i 0.0114440 0.203803i
\(553\) 20.0475 + 14.3400i 0.852508 + 0.609797i
\(554\) 12.7326 + 27.8805i 0.540956 + 1.18453i
\(555\) 4.86109 20.0377i 0.206342 0.850553i
\(556\) 0.226746 1.17647i 0.00961616 0.0498934i
\(557\) 6.82116 + 0.324932i 0.289022 + 0.0137678i 0.191592 0.981475i \(-0.438635\pi\)
0.0974296 + 0.995242i \(0.468938\pi\)
\(558\) 1.41824 + 7.35850i 0.0600387 + 0.311510i
\(559\) 2.64797 + 18.4170i 0.111997 + 0.778957i
\(560\) 1.55855 + 11.0056i 0.0658609 + 0.465072i
\(561\) −2.40264 + 1.54408i −0.101440 + 0.0651913i
\(562\) 15.2326 19.3698i 0.642549 0.817067i
\(563\) −23.1529 + 2.21084i −0.975779 + 0.0931756i −0.570746 0.821126i \(-0.693346\pi\)
−0.405033 + 0.914302i \(0.632740\pi\)
\(564\) −0.723924 + 0.0691263i −0.0304827 + 0.00291074i
\(565\) −8.45710 + 10.7541i −0.355793 + 0.452428i
\(566\) 9.27663 5.96173i 0.389926 0.250590i
\(567\) 0.370975 + 2.61961i 0.0155795 + 0.110013i
\(568\) 2.11267 + 14.6940i 0.0886457 + 0.616545i
\(569\) −1.47275 7.64137i −0.0617410 0.320343i 0.937907 0.346888i \(-0.112762\pi\)
−0.999648 + 0.0265450i \(0.991549\pi\)
\(570\) 13.1887 + 0.628253i 0.552412 + 0.0263146i
\(571\) 0.658287 3.41552i 0.0275484 0.142935i −0.965550 0.260217i \(-0.916206\pi\)
0.993099 + 0.117282i \(0.0374181\pi\)
\(572\) −0.538473 + 2.21961i −0.0225147 + 0.0928067i
\(573\) −9.60579 21.0338i −0.401288 0.878698i
\(574\) 8.90596 + 6.37041i 0.371727 + 0.265896i
\(575\) −22.0693 56.5128i −0.920353 2.35675i
\(576\) 0.500000 0.866025i 0.0208333 0.0360844i
\(577\) 18.6002 + 13.2452i 0.774338 + 0.551404i 0.897516 0.440981i \(-0.145369\pi\)
−0.123178 + 0.992385i \(0.539309\pi\)
\(578\) −18.3999 17.5443i −0.765335 0.729746i
\(579\) −2.93133 + 1.01454i −0.121822 + 0.0421630i
\(580\) −3.73583 2.40087i −0.155122 0.0996908i
\(581\) 8.31618 + 11.7310i 0.345013 + 0.486685i
\(582\) −0.158987 + 0.0228588i −0.00659021 + 0.000947530i
\(583\) 2.20615 2.10356i 0.0913693 0.0871205i
\(584\) 2.09801 4.06958i 0.0868164 0.168400i
\(585\) −8.13323 20.3158i −0.336268 0.839956i
\(586\) −13.8037 19.3846i −0.570225 0.800769i
\(587\) 18.0514 + 8.24381i 0.745062 + 0.340258i 0.751511 0.659721i \(-0.229325\pi\)
−0.00644876 + 0.999979i \(0.502053\pi\)
\(588\) −5.30964 + 4.56154i −0.218966 + 0.188115i
\(589\) 12.7331 + 19.8131i 0.524658 + 0.816384i
\(590\) −36.0849 37.8447i −1.48559 1.55804i
\(591\) −0.668688 0.850306i −0.0275061 0.0349769i
\(592\) −4.63789 1.60519i −0.190616 0.0659729i
\(593\) −12.8142 24.8561i −0.526216 1.02072i −0.990819 0.135197i \(-0.956833\pi\)
0.464603 0.885519i \(-0.346197\pi\)
\(594\) −0.287149 + 0.331388i −0.0117819 + 0.0135970i
\(595\) 71.1191 13.5507i 2.91560 0.555525i
\(596\) −19.0784 + 8.71282i −0.781482 + 0.356891i
\(597\) −9.10522 5.25690i −0.372652 0.215151i
\(598\) −18.2250 + 17.0843i −0.745275 + 0.698631i
\(599\) −15.2403 26.3970i −0.622704 1.07855i −0.988980 0.148048i \(-0.952701\pi\)
0.366277 0.930506i \(-0.380632\pi\)
\(600\) 1.20250 12.5931i 0.0490917 0.514112i
\(601\) 7.14435 + 24.3314i 0.291424 + 0.992499i 0.966908 + 0.255125i \(0.0821165\pi\)
−0.675484 + 0.737375i \(0.736065\pi\)
\(602\) −9.18923 + 2.20866i −0.374525 + 0.0900181i
\(603\) −6.49259 + 10.1027i −0.264399 + 0.411412i
\(604\) 2.76611 0.533124i 0.112551 0.0216925i
\(605\) −35.6914 + 28.0680i −1.45106 + 1.14113i
\(606\) 0.0663201 + 0.273375i 0.00269407 + 0.0111051i
\(607\) −6.02675 + 0.287090i −0.244618 + 0.0116526i −0.169533 0.985525i \(-0.554226\pi\)
−0.0750853 + 0.997177i \(0.523923\pi\)
\(608\) 0.447266 3.11080i 0.0181390 0.126160i
\(609\) 0.00593119 2.79660i 0.000240344 0.113324i
\(610\) −25.1013 + 54.9641i −1.01632 + 2.22543i
\(611\) 2.97751 + 2.34154i 0.120457 + 0.0947285i
\(612\) −5.78929 2.98458i −0.234018 0.120645i
\(613\) −34.9250 + 8.47273i −1.41061 + 0.342210i −0.867494 0.497448i \(-0.834271\pi\)
−0.543116 + 0.839658i \(0.682755\pi\)
\(614\) 5.41348 13.5222i 0.218470 0.545712i
\(615\) −11.3863 13.1405i −0.459141 0.529877i
\(616\) −1.14797 0.167539i −0.0462531 0.00675034i
\(617\) 21.7229 + 18.8230i 0.874531 + 0.757785i 0.971384 0.237514i \(-0.0763324\pi\)
−0.0968537 + 0.995299i \(0.530878\pi\)
\(618\) 4.83488 + 1.17293i 0.194487 + 0.0471821i
\(619\) 16.4449 23.0937i 0.660978 0.928214i −0.338943 0.940807i \(-0.610069\pi\)
0.999921 + 0.0125932i \(0.00400866\pi\)
\(620\) 27.2658 15.7419i 1.09502 0.632210i
\(621\) −4.61288 + 1.31201i −0.185108 + 0.0526492i
\(622\) 2.58788i 0.103764i
\(623\) −43.9806 8.57336i −1.76205 0.343484i
\(624\) −4.99780 + 1.46749i −0.200072 + 0.0587465i
\(625\) −23.4772 67.8328i −0.939087 2.71331i
\(626\) −1.28575 + 26.9913i −0.0513891 + 1.07879i
\(627\) −0.450725 + 1.30229i −0.0180002 + 0.0520083i
\(628\) 8.04540 + 3.22089i 0.321047 + 0.128528i
\(629\) −9.00594 + 30.6714i −0.359090 + 1.22295i
\(630\) 9.89057 5.07242i 0.394050 0.202090i
\(631\) −11.3110 1.62627i −0.450282 0.0647408i −0.0865565 0.996247i \(-0.527586\pi\)
−0.363726 + 0.931506i \(0.618495\pi\)
\(632\) −7.58873 + 5.40391i −0.301864 + 0.214956i
\(633\) −1.77182 18.5554i −0.0704237 0.737510i
\(634\) 14.8852 5.95912i 0.591165 0.236667i
\(635\) 2.02583 + 42.5274i 0.0803927 + 1.68765i
\(636\) 6.67020 + 1.95855i 0.264491 + 0.0776615i
\(637\) 36.4126 + 1.88938i 1.44272 + 0.0748599i
\(638\) 0.350283 0.303522i 0.0138678 0.0120166i
\(639\) 13.1948 6.80240i 0.521979 0.269099i
\(640\) −4.12532 0.795090i −0.163067 0.0314287i
\(641\) −10.8379 + 11.3664i −0.428070 + 0.448946i −0.902077 0.431574i \(-0.857958\pi\)
0.474008 + 0.880521i \(0.342807\pi\)
\(642\) −14.3961 1.37466i −0.568169 0.0542535i
\(643\) 14.3684 0.566634 0.283317 0.959026i \(-0.408565\pi\)
0.283317 + 0.959026i \(0.408565\pi\)
\(644\) −9.50065 8.41056i −0.374378 0.331423i
\(645\) 15.0073 0.590912
\(646\) −20.3774 1.94580i −0.801737 0.0765566i
\(647\) −8.61116 + 9.03112i −0.338540 + 0.355050i −0.870893 0.491472i \(-0.836459\pi\)
0.532354 + 0.846522i \(0.321308\pi\)
\(648\) −0.981929 0.189251i −0.0385738 0.00743449i
\(649\) 4.85097 2.50085i 0.190417 0.0981669i
\(650\) −49.7989 + 43.1510i −1.95327 + 1.69252i
\(651\) 17.6037 + 9.12265i 0.689943 + 0.357545i
\(652\) 7.10369 + 2.08583i 0.278202 + 0.0816874i
\(653\) −1.72056 36.1191i −0.0673309 1.41345i −0.739553 0.673099i \(-0.764963\pi\)
0.672222 0.740350i \(-0.265340\pi\)
\(654\) 3.47302 1.39039i 0.135806 0.0543684i
\(655\) −2.92720 30.6551i −0.114375 1.19779i
\(656\) −3.37123 + 2.40064i −0.131625 + 0.0937294i
\(657\) −4.53195 0.651595i −0.176808 0.0254212i
\(658\) −1.04364 + 1.61639i −0.0406854 + 0.0630135i
\(659\) −4.55650 + 15.5180i −0.177496 + 0.604496i 0.821896 + 0.569637i \(0.192916\pi\)
−0.999392 + 0.0348587i \(0.988902\pi\)
\(660\) 1.71024 + 0.684675i 0.0665708 + 0.0266509i
\(661\) 12.4555 35.9877i 0.484461 1.39976i −0.392746 0.919647i \(-0.628475\pi\)
0.877207 0.480112i \(-0.159404\pi\)
\(662\) −0.0987639 + 2.07331i −0.00383857 + 0.0805814i
\(663\) 11.0963 + 32.0607i 0.430945 + 1.24513i
\(664\) −5.21486 + 1.53122i −0.202376 + 0.0594229i
\(665\) 22.9325 26.3524i 0.889285 1.02190i
\(666\) 4.90782i 0.190174i
\(667\) 5.02364 0.678793i 0.194516 0.0262830i
\(668\) 15.8098 9.12777i 0.611698 0.353164i
\(669\) −5.50921 + 7.73660i −0.212998 + 0.299114i
\(670\) 49.0307 + 11.8947i 1.89422 + 0.459533i
\(671\) −4.76620 4.12994i −0.183997 0.159435i
\(672\) −0.978115 2.45831i −0.0377316 0.0948314i
\(673\) −14.1827 16.3677i −0.546703 0.630929i 0.413408 0.910546i \(-0.364338\pi\)
−0.960112 + 0.279616i \(0.909793\pi\)
\(674\) −2.98517 + 7.45661i −0.114985 + 0.287218i
\(675\) −12.2938 + 2.98245i −0.473189 + 0.114794i
\(676\) 12.5606 + 6.47544i 0.483100 + 0.249055i
\(677\) −6.03465 4.74570i −0.231930 0.182392i 0.495430 0.868648i \(-0.335011\pi\)
−0.727360 + 0.686256i \(0.759253\pi\)
\(678\) 1.35278 2.96217i 0.0519531 0.113761i
\(679\) −0.213263 + 0.367579i −0.00818427 + 0.0141064i
\(680\) −3.89432 + 27.0856i −0.149340 + 1.03868i
\(681\) 9.76876 0.465343i 0.374340 0.0178320i
\(682\) 0.774705 + 3.19338i 0.0296650 + 0.122281i
\(683\) 10.3887 8.16974i 0.397511 0.312606i −0.399316 0.916813i \(-0.630752\pi\)
0.796827 + 0.604207i \(0.206510\pi\)
\(684\) −3.08600 + 0.594777i −0.117996 + 0.0227419i
\(685\) −19.9034 + 30.9703i −0.760470 + 1.18331i
\(686\) 0.763510 + 18.5045i 0.0291509 + 0.706506i
\(687\) 0.465400 + 1.58501i 0.0177561 + 0.0604718i
\(688\) 0.339551 3.55594i 0.0129453 0.135569i
\(689\) −18.1052 31.3592i −0.689755 1.19469i
\(690\) 11.5474 + 16.5111i 0.439603 + 0.628567i
\(691\) −5.51232 3.18254i −0.209699 0.121070i 0.391473 0.920190i \(-0.371966\pi\)
−0.601171 + 0.799120i \(0.705299\pi\)
\(692\) 5.33872 2.43811i 0.202948 0.0926831i
\(693\) 0.217140 + 1.13963i 0.00824846 + 0.0432910i
\(694\) 4.28649 4.94687i 0.162713 0.187781i
\(695\) 2.30652 + 4.47403i 0.0874914 + 0.169710i
\(696\) 0.998884 + 0.345717i 0.0378626 + 0.0131044i
\(697\) 16.6633 + 21.1891i 0.631168 + 0.802595i
\(698\) 7.51814 + 7.88480i 0.284566 + 0.298444i
\(699\) −5.08435 7.91140i −0.192308 0.299237i
\(700\) −24.1742 23.1481i −0.913699 0.874918i
\(701\) −5.88355 2.68693i −0.222219 0.101484i 0.301195 0.953563i \(-0.402614\pi\)
−0.523414 + 0.852079i \(0.675342\pi\)
\(702\) 3.02140 + 4.24296i 0.114035 + 0.160140i
\(703\) 5.73261 + 14.3194i 0.216210 + 0.540066i
\(704\) 0.200927 0.389744i 0.00757273 0.0146890i
\(705\) 2.21116 2.10834i 0.0832771 0.0794045i
\(706\) −20.0414 + 2.88152i −0.754268 + 0.108447i
\(707\) 0.676348 + 0.310613i 0.0254367 + 0.0116818i
\(708\) 10.4707 + 6.72911i 0.393513 + 0.252896i
\(709\) −42.2998 + 14.6401i −1.58860 + 0.549820i −0.971495 0.237059i \(-0.923817\pi\)
−0.617107 + 0.786879i \(0.711695\pi\)
\(710\) −45.1376 43.0386i −1.69398 1.61521i
\(711\) 7.58873 + 5.40391i 0.284600 + 0.202663i
\(712\) 8.46801 14.6670i 0.317352 0.549670i
\(713\) −12.0427 + 33.8619i −0.451004 + 1.26814i
\(714\) −15.6905 + 7.12545i −0.587204 + 0.266663i
\(715\) −3.98616 8.72848i −0.149074 0.326427i
\(716\) 0.461282 1.90143i 0.0172389 0.0710597i
\(717\) −2.63369 + 13.6649i −0.0983571 + 0.510325i
\(718\) 20.3140 + 0.967677i 0.758113 + 0.0361134i
\(719\) −4.22337 21.9129i −0.157505 0.817214i −0.971627 0.236520i \(-0.923993\pi\)
0.814122 0.580694i \(-0.197219\pi\)
\(720\) 0.597899 + 4.15848i 0.0222824 + 0.154977i
\(721\) 10.3640 8.11482i 0.385975 0.302212i
\(722\) 7.67464 4.93219i 0.285620 0.183557i
\(723\) 2.81874 3.58432i 0.104830 0.133302i
\(724\) −11.6463 + 1.11209i −0.432832 + 0.0413305i
\(725\) 13.3112 1.27106i 0.494365 0.0472061i
\(726\) 6.68089 8.49545i 0.247951 0.315296i
\(727\) −12.3999 + 7.96895i −0.459888 + 0.295552i −0.749997 0.661442i \(-0.769945\pi\)
0.290109 + 0.956994i \(0.406309\pi\)
\(728\) −5.14907 + 12.7831i −0.190837 + 0.473773i
\(729\) 0.142315 + 0.989821i 0.00527092 + 0.0366601i
\(730\) 3.64036 + 18.8880i 0.134736 + 0.699075i
\(731\) −23.2400 1.10706i −0.859564 0.0409461i
\(732\) 2.72192 14.1227i 0.100605 0.521988i
\(733\) 10.2193 42.1247i 0.377460 1.55591i −0.393682 0.919247i \(-0.628799\pi\)
0.771142 0.636663i \(-0.219686\pi\)
\(734\) −7.43742 16.2857i −0.274520 0.601115i
\(735\) 5.68807 28.8533i 0.209807 1.06427i
\(736\) 4.17353 2.36255i 0.153838 0.0870849i
\(737\) −2.63292 + 4.56035i −0.0969847 + 0.167983i
\(738\) 3.37123 + 2.40064i 0.124097 + 0.0883690i
\(739\) 6.96295 + 6.63916i 0.256136 + 0.244225i 0.807257 0.590200i \(-0.200951\pi\)
−0.551121 + 0.834425i \(0.685800\pi\)
\(740\) 19.4849 6.74379i 0.716279 0.247907i
\(741\) 13.7714 + 8.85037i 0.505907 + 0.325127i
\(742\) 15.0049 10.6370i 0.550846 0.390498i
\(743\) 34.2463 4.92387i 1.25637 0.180639i 0.518205 0.855256i \(-0.326600\pi\)
0.738168 + 0.674617i \(0.235691\pi\)
\(744\) −5.42361 + 5.17140i −0.198839 + 0.189593i
\(745\) 40.3770 78.3204i 1.47930 2.86944i
\(746\) −8.03578 20.0724i −0.294211 0.734903i
\(747\) 3.15262 + 4.42723i 0.115348 + 0.161984i
\(748\) −2.59793 1.18644i −0.0949898 0.0433804i
\(749\) −26.4623 + 27.6353i −0.966912 + 1.00977i
\(750\) 17.3768 + 27.0389i 0.634512 + 0.987320i
\(751\) 27.5212 + 28.8634i 1.00426 + 1.05324i 0.998581 + 0.0532581i \(0.0169606\pi\)
0.00568344 + 0.999984i \(0.498191\pi\)
\(752\) −0.449535 0.571631i −0.0163929 0.0208452i
\(753\) 24.5988 + 8.51373i 0.896431 + 0.310258i
\(754\) −2.52290 4.89375i −0.0918787 0.178220i
\(755\) −7.75025 + 8.94427i −0.282060 + 0.325515i
\(756\) −2.00320 + 1.72835i −0.0728555 + 0.0628596i
\(757\) 1.42490 0.650729i 0.0517888 0.0236511i −0.389352 0.921089i \(-0.627301\pi\)
0.441141 + 0.897438i \(0.354574\pi\)
\(758\) −13.8007 7.96781i −0.501262 0.289404i
\(759\) −1.99303 + 0.670894i −0.0723424 + 0.0243519i
\(760\) 6.60181 + 11.4347i 0.239473 + 0.414779i
\(761\) 1.56334 16.3720i 0.0566710 0.593485i −0.921879 0.387477i \(-0.873347\pi\)
0.978550 0.206008i \(-0.0660474\pi\)
\(762\) −2.85510 9.72357i −0.103429 0.352248i
\(763\) 2.80865 9.49088i 0.101680 0.343593i
\(764\) 12.5014 19.4526i 0.452286 0.703771i
\(765\) 26.8696 5.17869i 0.971472 0.187236i
\(766\) 6.96229 5.47521i 0.251558 0.197827i
\(767\) −15.2846 63.0040i −0.551895 2.27494i
\(768\) 0.998867 0.0475819i 0.0360435 0.00171696i
\(769\) 2.03756 14.1716i 0.0734763 0.511039i −0.919534 0.393011i \(-0.871434\pi\)
0.993010 0.118028i \(-0.0376574\pi\)
\(770\) 4.22616 2.42804i 0.152300 0.0875004i
\(771\) −6.28376 + 13.7595i −0.226304 + 0.495537i
\(772\) −2.43829 1.91749i −0.0877559 0.0690120i
\(773\) 12.4342 + 6.41029i 0.447228 + 0.230562i 0.667102 0.744966i \(-0.267534\pi\)
−0.219874 + 0.975528i \(0.570565\pi\)
\(774\) −3.47142 + 0.842158i −0.124778 + 0.0302707i
\(775\) −35.2341 + 88.0104i −1.26564 + 3.16143i
\(776\) −0.105185 0.121390i −0.00377592 0.00435764i
\(777\) 10.1897 + 8.04834i 0.365555 + 0.288733i
\(778\) −22.0681 19.1221i −0.791179 0.685561i
\(779\) 12.6402 + 3.06649i 0.452883 + 0.109868i
\(780\) 12.6936 17.8257i 0.454504 0.638262i
\(781\) 5.63730 3.25469i 0.201718 0.116462i
\(782\) −16.6641 26.4206i −0.595908 0.944799i
\(783\) 1.05702i 0.0377748i
\(784\) −6.70803 2.00060i −0.239572 0.0714500i
\(785\) −34.9339 + 10.2575i −1.24684 + 0.366106i
\(786\) 2.39736 + 6.92673i 0.0855111 + 0.247068i
\(787\) 0.108639 2.28061i 0.00387256 0.0812950i −0.996104 0.0881900i \(-0.971892\pi\)
0.999976 + 0.00689498i \(0.00219476\pi\)
\(788\) 0.353803 1.02225i 0.0126037 0.0364160i
\(789\) −4.49558 1.79976i −0.160047 0.0640731i
\(790\) 11.0269 37.5541i 0.392318 1.33611i
\(791\) −3.93171 7.66634i −0.139796 0.272584i
\(792\) −0.434025 0.0624034i −0.0154224 0.00221741i
\(793\) −61.0246 + 43.4554i −2.16705 + 1.54315i
\(794\) −2.16353 22.6575i −0.0767807 0.804084i
\(795\) −27.1141 + 10.8548i −0.961637 + 0.384981i
\(796\) −0.500267 10.5019i −0.0177315 0.372230i
\(797\) 47.4912 + 13.9447i 1.68222 + 0.493946i 0.976676 0.214716i \(-0.0688827\pi\)
0.705548 + 0.708662i \(0.250701\pi\)
\(798\) −3.82584 + 7.38261i −0.135433 + 0.261342i
\(799\) −3.57969 + 3.10182i −0.126640 + 0.109734i
\(800\) 11.2441 5.79675i 0.397540 0.204946i
\(801\) −16.6300 3.20516i −0.587591 0.113249i
\(802\) −15.1369 + 15.8751i −0.534501 + 0.560569i
\(803\) −1.99855 0.190838i −0.0705273 0.00673454i
\(804\) −12.0091 −0.423527
\(805\) 53.2174 + 3.10150i 1.87567 + 0.109314i
\(806\) 39.0343 1.37493
\(807\) −0.0540237 0.00515864i −0.00190173 0.000181593i
\(808\) −0.194122 + 0.203590i −0.00682920 + 0.00716226i
\(809\) −24.8041 4.78059i −0.872064 0.168077i −0.266463 0.963845i \(-0.585855\pi\)
−0.605601 + 0.795768i \(0.707067\pi\)
\(810\) 3.73421 1.92512i 0.131207 0.0676418i
\(811\) 32.0366 27.7599i 1.12496 0.974782i 0.125109 0.992143i \(-0.460072\pi\)
0.999849 + 0.0173606i \(0.00552634\pi\)
\(812\) 2.35586 1.50697i 0.0826745 0.0528842i
\(813\) −6.80156 1.99712i −0.238541 0.0700420i
\(814\) 0.102397 + 2.14959i 0.00358903 + 0.0753429i
\(815\) −28.8762 + 11.5603i −1.01149 + 0.404939i
\(816\) −0.619132 6.48385i −0.0216740 0.226980i
\(817\) −9.14477 + 6.51196i −0.319935 + 0.227825i
\(818\) 14.5446 + 2.09119i 0.508539 + 0.0731168i
\(819\) 13.7641 + 0.684928i 0.480958 + 0.0239333i
\(820\) 4.89860 16.6831i 0.171066 0.582599i
\(821\) 21.9520 + 8.78827i 0.766131 + 0.306713i 0.721614 0.692296i \(-0.243401\pi\)
0.0445176 + 0.999009i \(0.485825\pi\)
\(822\) 2.86602 8.28082i 0.0999639 0.288827i
\(823\) −1.13512 + 23.8290i −0.0395677 + 0.830628i 0.888649 + 0.458588i \(0.151645\pi\)
−0.928217 + 0.372040i \(0.878658\pi\)
\(824\) 1.62720 + 4.70149i 0.0566863 + 0.163784i
\(825\) −5.32236 + 1.56279i −0.185301 + 0.0544093i
\(826\) 31.1421 10.7045i 1.08357 0.372456i
\(827\) 44.7855i 1.55734i 0.627431 + 0.778672i \(0.284106\pi\)
−0.627431 + 0.778672i \(0.715894\pi\)
\(828\) −3.59764 3.17127i −0.125027 0.110209i
\(829\) −21.2438 + 12.2651i −0.737828 + 0.425985i −0.821279 0.570527i \(-0.806739\pi\)
0.0834514 + 0.996512i \(0.473406\pi\)
\(830\) 13.2449 18.5999i 0.459737 0.645611i
\(831\) 29.7863 + 7.22608i 1.03328 + 0.250670i
\(832\) −3.93654 3.41103i −0.136475 0.118256i
\(833\) −10.9369 + 44.2622i −0.378941 + 1.53359i
\(834\) −0.784602 0.905479i −0.0271685 0.0313542i
\(835\) −28.5050 + 71.2020i −0.986456 + 2.46405i
\(836\) −1.33923 + 0.324894i −0.0463183 + 0.0112367i
\(837\) 6.66087 + 3.43392i 0.230233 + 0.118694i
\(838\) 21.6505 + 17.0261i 0.747904 + 0.588158i
\(839\) −17.2763 + 37.8299i −0.596445 + 1.30603i 0.335023 + 0.942210i \(0.391256\pi\)
−0.931468 + 0.363823i \(0.881471\pi\)
\(840\) 9.61444 + 5.57812i 0.331730 + 0.192463i
\(841\) 3.96812 27.5989i 0.136832 0.951686i
\(842\) 30.3884 1.44758i 1.04725 0.0498868i
\(843\) −5.80955 23.9473i −0.200091 0.824788i
\(844\) 14.6519 11.5224i 0.504338 0.396616i
\(845\) −58.2970 + 11.2358i −2.00548 + 0.386524i
\(846\) −0.393163 + 0.611773i −0.0135172 + 0.0210332i
\(847\) −6.68247 27.8028i −0.229612 0.955314i
\(848\) 1.95855 + 6.67020i 0.0672568 + 0.229056i
\(849\) 1.04820 10.9772i 0.0359740 0.376737i
\(850\) −41.1982 71.3573i −1.41309 2.44754i
\(851\) −11.9412 + 20.2830i −0.409340 + 0.695293i
\(852\) 12.8562 + 7.42253i 0.440446 + 0.254292i
\(853\) −10.1801 + 4.64908i −0.348559 + 0.159181i −0.581999 0.813190i \(-0.697729\pi\)
0.233440 + 0.972371i \(0.425002\pi\)
\(854\) −24.8582 28.8111i −0.850629 0.985895i
\(855\) 8.64653 9.97863i 0.295705 0.341262i
\(856\) −6.62668 12.8540i −0.226495 0.439340i
\(857\) 32.5783 + 11.2755i 1.11285 + 0.385163i 0.820787 0.571235i \(-0.193535\pi\)
0.292068 + 0.956398i \(0.405657\pi\)
\(858\) 1.41187 + 1.79534i 0.0482006 + 0.0612920i
\(859\) 15.3165 + 16.0635i 0.522593 + 0.548080i 0.931142 0.364656i \(-0.118814\pi\)
−0.408549 + 0.912736i \(0.633965\pi\)
\(860\) 8.11356 + 12.6250i 0.276670 + 0.430507i
\(861\) 10.5128 3.06263i 0.358275 0.104374i
\(862\) −29.4251 13.4380i −1.00222 0.457700i
\(863\) −10.7899 15.1523i −0.367292 0.515789i 0.589028 0.808113i \(-0.299511\pi\)
−0.956319 + 0.292324i \(0.905572\pi\)
\(864\) −0.371662 0.928368i −0.0126442 0.0315837i
\(865\) −11.2987 + 21.9164i −0.384168 + 0.745182i
\(866\) 25.5443 24.3564i 0.868030 0.827665i
\(867\) −25.1648 + 3.61815i −0.854641 + 0.122879i
\(868\) 1.84282 + 19.7412i 0.0625494 + 0.670062i
\(869\) 3.43655 + 2.20854i 0.116577 + 0.0749195i
\(870\) −4.19655 + 1.45244i −0.142276 + 0.0492423i
\(871\) 45.2715 + 43.1663i 1.53397 + 1.46263i
\(872\) 3.04732 + 2.16999i 0.103195 + 0.0734851i
\(873\) −0.0803108 + 0.139102i −0.00271811 + 0.00470790i
\(874\) −14.2010 5.05046i −0.480354 0.170834i
\(875\) 84.6352 + 8.26285i 2.86119 + 0.279335i
\(876\) −1.90200 4.16479i −0.0642625 0.140715i
\(877\) 6.63283 27.3409i 0.223975 0.923237i −0.743189 0.669082i \(-0.766687\pi\)
0.967163 0.254155i \(-0.0817974\pi\)
\(878\) 4.21880 21.8892i 0.142378 0.738725i
\(879\) −23.7702 1.13231i −0.801748 0.0381919i
\(880\) 0.348638 + 1.80890i 0.0117526 + 0.0609782i
\(881\) 1.52711 + 10.6212i 0.0514495 + 0.357839i 0.999241 + 0.0389489i \(0.0124010\pi\)
−0.947792 + 0.318890i \(0.896690\pi\)
\(882\) 0.303412 + 6.99342i 0.0102164 + 0.235481i
\(883\) −17.9262 + 11.5205i −0.603265 + 0.387695i −0.806326 0.591471i \(-0.798547\pi\)
0.203061 + 0.979166i \(0.434911\pi\)
\(884\) −20.9721 + 26.6681i −0.705366 + 0.896946i
\(885\) −52.0541 + 4.97057i −1.74978 + 0.167084i
\(886\) −23.6368 + 2.25704i −0.794093 + 0.0758267i
\(887\) −2.34996 + 2.98821i −0.0789039 + 0.100334i −0.823903 0.566732i \(-0.808208\pi\)
0.744999 + 0.667066i \(0.232450\pi\)
\(888\) −4.12872 + 2.65337i −0.138551 + 0.0890412i
\(889\) −24.8704 10.0179i −0.834128 0.335989i
\(890\) 10.1260 + 70.4280i 0.339425 + 2.36075i
\(891\) 0.0829845 + 0.430565i 0.00278009 + 0.0144245i
\(892\) −9.48695 0.451919i −0.317646 0.0151314i
\(893\) −0.432532 + 2.24419i −0.0144741 + 0.0750989i
\(894\) −4.94475 + 20.3825i −0.165377 + 0.681694i
\(895\) 3.41474 + 7.47724i 0.114142 + 0.249936i
\(896\) 1.53925 2.15191i 0.0514229 0.0718901i
\(897\) 2.16326 + 24.8867i 0.0722291 + 0.830941i
\(898\) −9.98811 + 17.2999i −0.333307 + 0.577305i
\(899\) −6.45244 4.59476i −0.215201 0.153244i
\(900\) −9.15553 8.72978i −0.305184 0.290993i
\(901\) 42.7891 14.8095i 1.42551 0.493374i
\(902\) 1.52666 + 0.981125i 0.0508322 + 0.0326679i
\(903\) −3.94428 + 8.58852i −0.131257 + 0.285808i
\(904\) 3.22330 0.463441i 0.107205 0.0154138i
\(905\) 35.5727 33.9185i 1.18248 1.12749i
\(906\) 1.29083 2.50386i 0.0428850 0.0831853i
\(907\) 1.01347 + 2.53153i 0.0336517 + 0.0840580i 0.944242 0.329252i \(-0.106797\pi\)
−0.910590 + 0.413310i \(0.864372\pi\)
\(908\) 5.67286 + 7.96642i 0.188260 + 0.264375i
\(909\) 0.255884 + 0.116858i 0.00848713 + 0.00387594i
\(910\) −16.1939 55.5872i −0.536822 1.84270i
\(911\) −5.26902 8.19875i −0.174570 0.271637i 0.742932 0.669367i \(-0.233434\pi\)
−0.917503 + 0.397730i \(0.869798\pi\)
\(912\) −2.16877 2.27455i −0.0718153 0.0753177i
\(913\) 1.47319 + 1.87332i 0.0487555 + 0.0619977i
\(914\) 24.9028 + 8.61896i 0.823713 + 0.285090i
\(915\) 27.6881 + 53.7075i 0.915342 + 1.77552i
\(916\) −1.08178 + 1.24844i −0.0357430 + 0.0412496i
\(917\) 18.3129 + 6.38168i 0.604745 + 0.210742i
\(918\) −5.92474 + 2.70574i −0.195546 + 0.0893027i
\(919\) −33.3180 19.2361i −1.09906 0.634542i −0.163085 0.986612i \(-0.552145\pi\)
−0.935974 + 0.352070i \(0.885478\pi\)
\(920\) −7.64701 + 18.6409i −0.252115 + 0.614572i
\(921\) −7.28279 12.6142i −0.239976 0.415651i
\(922\) 0.0976880 1.02304i 0.00321718 0.0336919i
\(923\) −21.7849 74.1926i −0.717059 2.44208i
\(924\) −0.841323 + 0.798800i −0.0276775 + 0.0262786i
\(925\) −33.5662 + 52.2300i −1.10365 + 1.71731i
\(926\) −15.3757 + 2.96342i −0.505276 + 0.0973840i
\(927\) 3.91071 3.07542i 0.128445 0.101010i
\(928\) 0.249202 + 1.02722i 0.00818045 + 0.0337203i
\(929\) −26.2827 + 1.25200i −0.862309 + 0.0410768i −0.474075 0.880484i \(-0.657218\pi\)
−0.388233 + 0.921561i \(0.626915\pi\)
\(930\) 4.48061 31.1633i 0.146925 1.02189i
\(931\) 9.05398 + 20.0501i 0.296732 + 0.657115i
\(932\) 3.90669 8.55445i 0.127968 0.280210i
\(933\) 2.03421 + 1.59972i 0.0665970 + 0.0523725i
\(934\) −18.7210 9.65134i −0.612569 0.315801i
\(935\) 11.6606 2.82883i 0.381343 0.0925128i
\(936\) −1.93591 + 4.83568i −0.0632773 + 0.158059i
\(937\) 37.7819 + 43.6026i 1.23428 + 1.42443i 0.869932 + 0.493171i \(0.164162\pi\)
0.364347 + 0.931263i \(0.381292\pi\)
\(938\) −19.6937 + 24.9335i −0.643021 + 0.814109i
\(939\) 20.4218 + 17.6956i 0.666440 + 0.577474i
\(940\) 2.96909 + 0.720293i 0.0968410 + 0.0234934i
\(941\) −2.45941 + 3.45376i −0.0801745 + 0.112589i −0.852716 0.522375i \(-0.825046\pi\)
0.772541 + 0.634965i \(0.218985\pi\)
\(942\) 7.50513 4.33309i 0.244530 0.141180i
\(943\) 8.09160 + 18.1239i 0.263499 + 0.590197i
\(944\) 12.4465i 0.405101i
\(945\) 2.12675 10.9101i 0.0691833 0.354905i
\(946\) −1.50288 + 0.441287i −0.0488630 + 0.0143475i
\(947\) 2.41897 + 6.98915i 0.0786059 + 0.227117i 0.977456 0.211140i \(-0.0677175\pi\)
−0.898850 + 0.438256i \(0.855596\pi\)
\(948\) −0.443282 + 9.30563i −0.0143971 + 0.302233i
\(949\) −7.80015 + 22.5371i −0.253204 + 0.731584i
\(950\) −36.9097 14.7764i −1.19751 0.479410i
\(951\) 4.51721 15.3842i 0.146481 0.498867i
\(952\) −14.4773 9.34741i −0.469211 0.302951i
\(953\) 49.0516 + 7.05256i 1.58894 + 0.228455i 0.879355 0.476167i \(-0.157974\pi\)
0.709583 + 0.704622i \(0.248883\pi\)
\(954\) 5.66277 4.03244i 0.183339 0.130555i
\(955\) 9.23439 + 96.7069i 0.298818 + 3.12936i
\(956\) −12.9195 + 5.17220i −0.417847 + 0.167281i
\(957\) −0.0220538 0.462966i −0.000712898 0.0149656i
\(958\) 17.8578 + 5.24352i 0.576959 + 0.169411i
\(959\) −12.4929 19.5302i −0.403416 0.630664i
\(960\) −3.17508 + 2.75123i −0.102475 + 0.0887954i
\(961\) 22.3622 11.5285i 0.721361 0.371888i
\(962\) 25.1018 + 4.83798i 0.809316 + 0.155983i
\(963\) −9.97964 + 10.4663i −0.321589 + 0.337273i
\(964\) 4.53925 + 0.433445i 0.146199 + 0.0139603i
\(965\) 13.0320 0.419514
\(966\) −12.4841 + 2.26895i −0.401668 + 0.0730023i
\(967\) 40.9784 1.31778 0.658888 0.752241i \(-0.271027\pi\)
0.658888 + 0.752241i \(0.271027\pi\)
\(968\) 10.7588 + 1.02734i 0.345801 + 0.0330200i
\(969\) −14.1260 + 14.8149i −0.453791 + 0.475923i
\(970\) 0.662615 + 0.127709i 0.0212753 + 0.00410048i
\(971\) 28.7151 14.8036i 0.921510 0.475072i 0.0689027 0.997623i \(-0.478050\pi\)
0.852608 + 0.522552i \(0.175020\pi\)
\(972\) −0.755750 + 0.654861i −0.0242407 + 0.0210047i
\(973\) −3.16665 + 0.144116i −0.101518 + 0.00462013i
\(974\) −1.60561 0.471450i −0.0514471 0.0151062i
\(975\) 3.13533 + 65.8187i 0.100411 + 2.10789i
\(976\) 13.3523 5.34546i 0.427397 0.171104i
\(977\) 2.11281 + 22.1263i 0.0675947 + 0.707884i 0.964222 + 0.265097i \(0.0854040\pi\)
−0.896627 + 0.442787i \(0.853990\pi\)
\(978\) 6.03078 4.29450i 0.192843 0.137323i
\(979\) −7.35066 1.05687i −0.234928 0.0337776i
\(980\) 27.3482 10.8142i 0.873606 0.345447i
\(981\) 1.05396 3.58946i 0.0336504 0.114603i
\(982\) 20.2521 + 8.10773i 0.646271 + 0.258728i
\(983\) −0.397065 + 1.14724i −0.0126644 + 0.0365914i −0.951156 0.308711i \(-0.900102\pi\)
0.938491 + 0.345302i \(0.112224\pi\)
\(984\) −0.196924 + 4.13395i −0.00627772 + 0.131785i
\(985\) 1.48641 + 4.29470i 0.0473609 + 0.136840i
\(986\) 6.60585 1.93965i 0.210373 0.0617711i
\(987\) 0.625432 + 1.81954i 0.0199077 + 0.0579167i
\(988\) 16.3702i 0.520804i
\(989\) −16.3957 4.96587i −0.521354 0.157905i
\(990\) 1.59539 0.921098i 0.0507048 0.0292744i
\(991\) −12.4901 + 17.5399i −0.396761 + 0.557172i −0.963837 0.266493i \(-0.914135\pi\)
0.567076 + 0.823665i \(0.308074\pi\)
\(992\) −7.28269 1.76676i −0.231226 0.0560947i
\(993\) 1.56868 + 1.35927i 0.0497805 + 0.0431351i
\(994\) 36.4938 14.5202i 1.15751 0.460552i
\(995\) 28.9258 + 33.3822i 0.917011 + 1.05829i
\(996\) −2.01999 + 5.04569i −0.0640059 + 0.159879i
\(997\) 45.5939 11.0610i 1.44397 0.350304i 0.564176 0.825654i \(-0.309194\pi\)
0.879797 + 0.475350i \(0.157679\pi\)
\(998\) −37.2251 19.1908i −1.17834 0.607476i
\(999\) 3.85781 + 3.03381i 0.122056 + 0.0959856i
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.19.9 320
7.3 odd 6 inner 966.2.be.a.157.9 yes 320
23.17 odd 22 inner 966.2.be.a.523.9 yes 320
161.17 even 66 inner 966.2.be.a.661.9 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.be.a.19.9 320 1.1 even 1 trivial
966.2.be.a.157.9 yes 320 7.3 odd 6 inner
966.2.be.a.523.9 yes 320 23.17 odd 22 inner
966.2.be.a.661.9 yes 320 161.17 even 66 inner