Properties

Label 301.2.ba.a.100.7
Level $301$
Weight $2$
Character 301.100
Analytic conductor $2.403$
Analytic rank $0$
Dimension $324$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [301,2,Mod(9,301)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(301, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("301.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 301 = 7 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 301.ba (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.40349710084\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 100.7
Character \(\chi\) \(=\) 301.100
Dual form 301.2.ba.a.298.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.120982 + 1.61440i) q^{2} +(2.37853 - 1.62165i) q^{3} +(-0.613975 - 0.0925419i) q^{4} +(-0.275443 + 1.20680i) q^{5} +(2.33023 + 4.03608i) q^{6} +(0.957332 + 2.46648i) q^{7} +(-0.496809 + 2.17666i) q^{8} +(1.93162 - 4.92168i) q^{9} +O(q^{10})\) \(q+(-0.120982 + 1.61440i) q^{2} +(2.37853 - 1.62165i) q^{3} +(-0.613975 - 0.0925419i) q^{4} +(-0.275443 + 1.20680i) q^{5} +(2.33023 + 4.03608i) q^{6} +(0.957332 + 2.46648i) q^{7} +(-0.496809 + 2.17666i) q^{8} +(1.93162 - 4.92168i) q^{9} +(-1.91492 - 0.590675i) q^{10} +(0.490967 - 1.25096i) q^{11} +(-1.61043 + 0.775542i) q^{12} +(-4.61397 - 4.28114i) q^{13} +(-4.09769 + 1.24711i) q^{14} +(1.30185 + 3.31707i) q^{15} +(-4.64054 - 1.43142i) q^{16} +(0.873731 + 3.82807i) q^{17} +(7.71184 + 3.71383i) q^{18} +(2.49465 - 3.12819i) q^{19} +(0.280794 - 0.715452i) q^{20} +(6.27682 + 4.31413i) q^{21} +(1.96015 + 0.943960i) q^{22} +(-3.53030 - 4.42685i) q^{23} +(2.34812 + 5.98291i) q^{24} +(3.12436 + 1.50461i) q^{25} +(7.46966 - 6.93083i) q^{26} +(-1.46511 - 6.41906i) q^{27} +(-0.359526 - 1.60295i) q^{28} +(-0.398083 + 5.31205i) q^{29} +(-5.51257 + 1.70040i) q^{30} +(0.432832 - 5.77574i) q^{31} +(1.24095 - 3.16188i) q^{32} +(-0.860851 - 3.77163i) q^{33} +(-6.28572 + 0.947420i) q^{34} +(-3.24023 + 0.475930i) q^{35} +(-1.64143 + 2.84303i) q^{36} -0.339369 q^{37} +(4.74833 + 4.40581i) q^{38} +(-17.9170 - 2.70055i) q^{39} +(-2.48994 - 1.19909i) q^{40} +(6.04838 - 2.91275i) q^{41} +(-7.72409 + 9.61133i) q^{42} +(-6.49212 + 0.923244i) q^{43} +(-0.417208 + 0.722626i) q^{44} +(5.40741 + 3.68671i) q^{45} +(7.57379 - 5.16373i) q^{46} +(-0.568775 - 1.44921i) q^{47} +(-13.3589 + 4.12068i) q^{48} +(-5.16703 + 4.72248i) q^{49} +(-2.80703 + 4.86192i) q^{50} +(8.28599 + 7.68827i) q^{51} +(2.43668 + 3.05550i) q^{52} +(-10.8079 - 3.33379i) q^{53} +(10.5402 - 1.58867i) q^{54} +(1.37442 + 0.937067i) q^{55} +(-5.84430 + 0.858421i) q^{56} +(0.860753 - 11.4860i) q^{57} +(-8.52759 - 1.28533i) q^{58} +(6.02128 - 5.58693i) q^{59} +(-0.492338 - 2.15708i) q^{60} +(0.0862800 + 1.15133i) q^{61} +(9.27197 + 1.39752i) q^{62} +(13.9884 + 0.0526082i) q^{63} +(-3.79634 - 1.82822i) q^{64} +(6.43735 - 4.38891i) q^{65} +(6.19306 - 0.933453i) q^{66} +(-4.54135 - 11.5712i) q^{67} +(-0.182193 - 2.43119i) q^{68} +(-15.5757 - 4.80448i) q^{69} +(-0.376329 - 5.28858i) q^{70} +(4.51953 + 11.5156i) q^{71} +(9.75319 + 6.64961i) q^{72} +(-0.345718 + 1.51469i) q^{73} +(0.0410576 - 0.547875i) q^{74} +(9.87133 - 1.48786i) q^{75} +(-1.82114 + 1.68977i) q^{76} +(3.55550 + 0.0133717i) q^{77} +(6.52739 - 28.5984i) q^{78} +(-1.65360 - 2.86412i) q^{79} +(3.00563 - 5.20591i) q^{80} +(-2.26702 - 2.10348i) q^{81} +(3.97058 + 10.1169i) q^{82} +(1.01612 + 13.5592i) q^{83} +(-3.45457 - 3.22964i) q^{84} -4.86035 q^{85} +(-0.705051 - 10.5925i) q^{86} +(7.66745 + 13.2804i) q^{87} +(2.47901 + 1.69016i) q^{88} +(2.70939 + 1.30477i) q^{89} +(-6.60601 + 8.28367i) q^{90} +(6.14223 - 15.4787i) q^{91} +(1.75785 + 3.04468i) q^{92} +(-8.33675 - 14.4397i) q^{93} +(2.40842 - 0.742898i) q^{94} +(3.08795 + 3.87217i) q^{95} +(-2.17585 - 9.53301i) q^{96} +(-4.75572 - 5.96349i) q^{97} +(-6.99883 - 8.91297i) q^{98} +(-5.20848 - 4.83277i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q - 4 q^{2} - 11 q^{3} + 20 q^{4} - q^{5} - 16 q^{6} - 7 q^{7} - 14 q^{8} + 40 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 324 q - 4 q^{2} - 11 q^{3} + 20 q^{4} - q^{5} - 16 q^{6} - 7 q^{7} - 14 q^{8} + 40 q^{9} - 4 q^{10} - 10 q^{11} - 11 q^{12} - 32 q^{13} + 11 q^{14} - 20 q^{15} + 76 q^{16} - 9 q^{17} + 7 q^{18} + 5 q^{19} - 68 q^{20} - 52 q^{21} - 40 q^{22} - 5 q^{23} + 39 q^{24} - 63 q^{25} - 38 q^{26} + 22 q^{27} - 39 q^{28} - 14 q^{29} - 185 q^{30} + 86 q^{31} - 120 q^{32} - 21 q^{33} - 44 q^{34} + 46 q^{35} - 105 q^{36} - 20 q^{37} - 36 q^{38} + 45 q^{39} + 13 q^{40} - 24 q^{41} + 37 q^{42} + q^{43} - 81 q^{44} - 31 q^{45} + 92 q^{46} - 3 q^{47} + 43 q^{48} + 29 q^{49} + 25 q^{50} - 13 q^{51} - 117 q^{52} + 38 q^{53} - 43 q^{54} - 41 q^{55} + 58 q^{56} - 20 q^{57} + 107 q^{58} - 41 q^{59} - 15 q^{60} - 15 q^{61} - 69 q^{62} - 46 q^{63} - 12 q^{64} + 64 q^{65} + 35 q^{66} - 38 q^{67} - 92 q^{68} - 22 q^{69} - 27 q^{70} - 44 q^{71} + 70 q^{72} + 127 q^{73} - 73 q^{74} + 52 q^{75} + 47 q^{76} - 203 q^{77} + 46 q^{78} + 10 q^{79} + 206 q^{80} + 236 q^{81} - 51 q^{82} + 2 q^{83} - 131 q^{84} - 58 q^{85} + 187 q^{86} - 28 q^{87} + 20 q^{88} + 54 q^{89} + 246 q^{90} - 57 q^{91} + 29 q^{92} - 99 q^{93} - 337 q^{94} + 39 q^{95} - 61 q^{96} + 90 q^{97} - 60 q^{98} - 110 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/301\mathbb{Z}\right)^\times\).

\(n\) \(87\) \(218\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{10}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.120982 + 1.61440i −0.0855474 + 1.14155i 0.774925 + 0.632053i \(0.217788\pi\)
−0.860472 + 0.509497i \(0.829831\pi\)
\(3\) 2.37853 1.62165i 1.37324 0.936262i 0.373281 0.927718i \(-0.378233\pi\)
0.999964 0.00854362i \(-0.00271955\pi\)
\(4\) −0.613975 0.0925419i −0.306988 0.0462709i
\(5\) −0.275443 + 1.20680i −0.123182 + 0.539695i 0.875248 + 0.483675i \(0.160698\pi\)
−0.998430 + 0.0560203i \(0.982159\pi\)
\(6\) 2.33023 + 4.03608i 0.951313 + 1.64772i
\(7\) 0.957332 + 2.46648i 0.361838 + 0.932241i
\(8\) −0.496809 + 2.17666i −0.175649 + 0.769566i
\(9\) 1.93162 4.92168i 0.643872 1.64056i
\(10\) −1.91492 0.590675i −0.605551 0.186788i
\(11\) 0.490967 1.25096i 0.148032 0.377180i −0.837554 0.546355i \(-0.816015\pi\)
0.985586 + 0.169175i \(0.0541103\pi\)
\(12\) −1.61043 + 0.775542i −0.464891 + 0.223880i
\(13\) −4.61397 4.28114i −1.27969 1.18737i −0.971762 0.235963i \(-0.924176\pi\)
−0.307923 0.951411i \(-0.599634\pi\)
\(14\) −4.09769 + 1.24711i −1.09515 + 0.333305i
\(15\) 1.30185 + 3.31707i 0.336137 + 0.856464i
\(16\) −4.64054 1.43142i −1.16013 0.357854i
\(17\) 0.873731 + 3.82807i 0.211911 + 0.928442i 0.963267 + 0.268545i \(0.0865429\pi\)
−0.751356 + 0.659897i \(0.770600\pi\)
\(18\) 7.71184 + 3.71383i 1.81770 + 0.875358i
\(19\) 2.49465 3.12819i 0.572312 0.717657i −0.408468 0.912773i \(-0.633937\pi\)
0.980780 + 0.195116i \(0.0625083\pi\)
\(20\) 0.280794 0.715452i 0.0627875 0.159980i
\(21\) 6.27682 + 4.31413i 1.36971 + 0.941420i
\(22\) 1.96015 + 0.943960i 0.417906 + 0.201253i
\(23\) −3.53030 4.42685i −0.736118 0.923063i 0.263011 0.964793i \(-0.415284\pi\)
−0.999129 + 0.0417303i \(0.986713\pi\)
\(24\) 2.34812 + 5.98291i 0.479308 + 1.22126i
\(25\) 3.12436 + 1.50461i 0.624872 + 0.300922i
\(26\) 7.46966 6.93083i 1.46492 1.35925i
\(27\) −1.46511 6.41906i −0.281960 1.23535i
\(28\) −0.359526 1.60295i −0.0679440 0.302929i
\(29\) −0.398083 + 5.31205i −0.0739222 + 0.986423i 0.829732 + 0.558161i \(0.188493\pi\)
−0.903655 + 0.428262i \(0.859126\pi\)
\(30\) −5.51257 + 1.70040i −1.00645 + 0.310449i
\(31\) 0.432832 5.77574i 0.0777389 1.03735i −0.812829 0.582503i \(-0.802073\pi\)
0.890568 0.454851i \(-0.150308\pi\)
\(32\) 1.24095 3.16188i 0.219370 0.558947i
\(33\) −0.860851 3.77163i −0.149855 0.656557i
\(34\) −6.28572 + 0.947420i −1.07799 + 0.162481i
\(35\) −3.24023 + 0.475930i −0.547698 + 0.0804468i
\(36\) −1.64143 + 2.84303i −0.273571 + 0.473839i
\(37\) −0.339369 −0.0557919 −0.0278959 0.999611i \(-0.508881\pi\)
−0.0278959 + 0.999611i \(0.508881\pi\)
\(38\) 4.74833 + 4.40581i 0.770281 + 0.714717i
\(39\) −17.9170 2.70055i −2.86901 0.432434i
\(40\) −2.48994 1.19909i −0.393695 0.189593i
\(41\) 6.04838 2.91275i 0.944599 0.454895i 0.102810 0.994701i \(-0.467217\pi\)
0.841789 + 0.539806i \(0.181502\pi\)
\(42\) −7.72409 + 9.61133i −1.19185 + 1.48306i
\(43\) −6.49212 + 0.923244i −0.990039 + 0.140793i
\(44\) −0.417208 + 0.722626i −0.0628965 + 0.108940i
\(45\) 5.40741 + 3.68671i 0.806089 + 0.549582i
\(46\) 7.57379 5.16373i 1.11670 0.761350i
\(47\) −0.568775 1.44921i −0.0829643 0.211390i 0.883372 0.468673i \(-0.155268\pi\)
−0.966336 + 0.257284i \(0.917173\pi\)
\(48\) −13.3589 + 4.12068i −1.92819 + 0.594769i
\(49\) −5.16703 + 4.72248i −0.738147 + 0.674640i
\(50\) −2.80703 + 4.86192i −0.396974 + 0.687579i
\(51\) 8.28599 + 7.68827i 1.16027 + 1.07657i
\(52\) 2.43668 + 3.05550i 0.337907 + 0.423721i
\(53\) −10.8079 3.33379i −1.48458 0.457932i −0.556668 0.830735i \(-0.687920\pi\)
−0.927910 + 0.372804i \(0.878397\pi\)
\(54\) 10.5402 1.58867i 1.43433 0.216191i
\(55\) 1.37442 + 0.937067i 0.185327 + 0.126354i
\(56\) −5.84430 + 0.858421i −0.780978 + 0.114711i
\(57\) 0.860753 11.4860i 0.114010 1.52135i
\(58\) −8.52759 1.28533i −1.11973 0.168772i
\(59\) 6.02128 5.58693i 0.783904 0.727357i −0.182829 0.983145i \(-0.558525\pi\)
0.966733 + 0.255788i \(0.0823349\pi\)
\(60\) −0.492338 2.15708i −0.0635606 0.278477i
\(61\) 0.0862800 + 1.15133i 0.0110470 + 0.147412i 1.00000 0.000819524i \(-0.000260862\pi\)
−0.988953 + 0.148232i \(0.952642\pi\)
\(62\) 9.27197 + 1.39752i 1.17754 + 0.177486i
\(63\) 13.9884 + 0.0526082i 1.76237 + 0.00662801i
\(64\) −3.79634 1.82822i −0.474543 0.228528i
\(65\) 6.43735 4.38891i 0.798454 0.544377i
\(66\) 6.19306 0.933453i 0.762313 0.114900i
\(67\) −4.54135 11.5712i −0.554814 1.41364i −0.883154 0.469083i \(-0.844584\pi\)
0.328340 0.944560i \(-0.393511\pi\)
\(68\) −0.182193 2.43119i −0.0220941 0.294826i
\(69\) −15.5757 4.80448i −1.87510 0.578391i
\(70\) −0.376329 5.28858i −0.0449799 0.632107i
\(71\) 4.51953 + 11.5156i 0.536370 + 1.36665i 0.900320 + 0.435229i \(0.143333\pi\)
−0.363950 + 0.931419i \(0.618572\pi\)
\(72\) 9.75319 + 6.64961i 1.14942 + 0.783664i
\(73\) −0.345718 + 1.51469i −0.0404632 + 0.177281i −0.991122 0.132959i \(-0.957552\pi\)
0.950658 + 0.310240i \(0.100409\pi\)
\(74\) 0.0410576 0.547875i 0.00477285 0.0636892i
\(75\) 9.87133 1.48786i 1.13984 0.171804i
\(76\) −1.82114 + 1.68977i −0.208899 + 0.193830i
\(77\) 3.55550 + 0.0133717i 0.405186 + 0.00152384i
\(78\) 6.52739 28.5984i 0.739082 3.23813i
\(79\) −1.65360 2.86412i −0.186045 0.322239i 0.757883 0.652390i \(-0.226234\pi\)
−0.943928 + 0.330151i \(0.892900\pi\)
\(80\) 3.00563 5.20591i 0.336040 0.582038i
\(81\) −2.26702 2.10348i −0.251891 0.233720i
\(82\) 3.97058 + 10.1169i 0.438477 + 1.11722i
\(83\) 1.01612 + 13.5592i 0.111534 + 1.48832i 0.719577 + 0.694413i \(0.244336\pi\)
−0.608043 + 0.793904i \(0.708045\pi\)
\(84\) −3.45457 3.22964i −0.376925 0.352382i
\(85\) −4.86035 −0.527179
\(86\) −0.705051 10.5925i −0.0760276 1.14222i
\(87\) 7.66745 + 13.2804i 0.822037 + 1.42381i
\(88\) 2.47901 + 1.69016i 0.264263 + 0.180172i
\(89\) 2.70939 + 1.30477i 0.287195 + 0.138306i 0.571935 0.820299i \(-0.306193\pi\)
−0.284740 + 0.958605i \(0.591907\pi\)
\(90\) −6.60601 + 8.28367i −0.696334 + 0.873175i
\(91\) 6.14223 15.4787i 0.643881 1.62261i
\(92\) 1.75785 + 3.04468i 0.183268 + 0.317430i
\(93\) −8.33675 14.4397i −0.864481 1.49732i
\(94\) 2.40842 0.742898i 0.248409 0.0766241i
\(95\) 3.08795 + 3.87217i 0.316817 + 0.397276i
\(96\) −2.17585 9.53301i −0.222071 0.972959i
\(97\) −4.75572 5.96349i −0.482870 0.605500i 0.479400 0.877597i \(-0.340854\pi\)
−0.962270 + 0.272096i \(0.912283\pi\)
\(98\) −6.99883 8.91297i −0.706989 0.900346i
\(99\) −5.20848 4.83277i −0.523472 0.485711i
\(100\) −1.77904 1.21293i −0.177904 0.121293i
\(101\) −3.52821 + 4.42424i −0.351070 + 0.440228i −0.925742 0.378156i \(-0.876558\pi\)
0.574672 + 0.818384i \(0.305130\pi\)
\(102\) −13.4144 + 12.4467i −1.32822 + 1.23241i
\(103\) 5.28760 4.90617i 0.521002 0.483420i −0.375275 0.926914i \(-0.622452\pi\)
0.896277 + 0.443494i \(0.146261\pi\)
\(104\) 11.6109 7.91615i 1.13854 0.776242i
\(105\) −6.93518 + 6.38653i −0.676804 + 0.623262i
\(106\) 6.68962 17.0449i 0.649754 1.65555i
\(107\) −6.17596 + 4.21070i −0.597053 + 0.407064i −0.823792 0.566892i \(-0.808146\pi\)
0.226740 + 0.973955i \(0.427193\pi\)
\(108\) 0.305509 + 4.07673i 0.0293976 + 0.392284i
\(109\) −12.3316 + 1.85868i −1.18115 + 0.178030i −0.710115 0.704085i \(-0.751357\pi\)
−0.471034 + 0.882115i \(0.656119\pi\)
\(110\) −1.67908 + 2.10550i −0.160094 + 0.200751i
\(111\) −0.807198 + 0.550338i −0.0766158 + 0.0522358i
\(112\) −0.911980 12.8161i −0.0861740 1.21101i
\(113\) 1.32865 + 5.82121i 0.124989 + 0.547614i 0.998184 + 0.0602420i \(0.0191872\pi\)
−0.873195 + 0.487372i \(0.837956\pi\)
\(114\) 18.4387 + 2.77919i 1.72695 + 0.260295i
\(115\) 6.31470 3.04100i 0.588849 0.283575i
\(116\) 0.736000 3.22463i 0.0683359 0.299399i
\(117\) −29.9828 + 14.4390i −2.77191 + 1.33488i
\(118\) 8.29105 + 10.3967i 0.763253 + 0.957090i
\(119\) −8.60539 + 5.81977i −0.788855 + 0.533497i
\(120\) −7.86692 + 1.18575i −0.718148 + 0.108243i
\(121\) 6.73971 + 6.25353i 0.612701 + 0.568503i
\(122\) −1.86914 −0.169224
\(123\) 9.66279 16.7364i 0.871264 1.50907i
\(124\) −0.800246 + 3.50611i −0.0718642 + 0.314858i
\(125\) −6.53521 + 8.19490i −0.584527 + 0.732974i
\(126\) −1.77728 + 22.5765i −0.158333 + 2.01127i
\(127\) 4.97152 2.39416i 0.441151 0.212447i −0.200104 0.979775i \(-0.564128\pi\)
0.641255 + 0.767327i \(0.278414\pi\)
\(128\) 6.80744 11.7908i 0.601699 1.04217i
\(129\) −13.9445 + 12.7239i −1.22775 + 1.12028i
\(130\) 6.30663 + 10.9234i 0.553128 + 0.958046i
\(131\) −1.21490 + 16.2117i −0.106146 + 1.41642i 0.648962 + 0.760821i \(0.275204\pi\)
−0.755108 + 0.655601i \(0.772415\pi\)
\(132\) 0.179507 + 2.39535i 0.0156241 + 0.208489i
\(133\) 10.1038 + 3.15828i 0.876113 + 0.273858i
\(134\) 19.2299 5.93163i 1.66121 0.512414i
\(135\) 8.15005 0.701445
\(136\) −8.76648 −0.751720
\(137\) 17.9295 5.53052i 1.53182 0.472505i 0.589657 0.807654i \(-0.299263\pi\)
0.942165 + 0.335149i \(0.108787\pi\)
\(138\) 9.64071 24.5641i 0.820672 2.09104i
\(139\) 6.38219 5.92181i 0.541331 0.502281i −0.361445 0.932393i \(-0.617716\pi\)
0.902776 + 0.430112i \(0.141526\pi\)
\(140\) 2.03346 + 0.00764753i 0.171859 + 0.000646334i
\(141\) −3.70297 2.52464i −0.311846 0.212613i
\(142\) −19.1375 + 5.90313i −1.60598 + 0.495380i
\(143\) −7.62086 + 3.67001i −0.637288 + 0.306902i
\(144\) −16.0087 + 20.0743i −1.33406 + 1.67286i
\(145\) −6.30091 1.94357i −0.523262 0.161405i
\(146\) −2.40348 0.741377i −0.198914 0.0613568i
\(147\) −4.63171 + 19.6117i −0.382017 + 1.61754i
\(148\) 0.208364 + 0.0314058i 0.0171274 + 0.00258154i
\(149\) −3.62234 4.54227i −0.296754 0.372118i 0.610993 0.791636i \(-0.290770\pi\)
−0.907747 + 0.419518i \(0.862199\pi\)
\(150\) 1.20775 + 16.1162i 0.0986120 + 1.31589i
\(151\) 1.45488 + 19.4141i 0.118397 + 1.57989i 0.667803 + 0.744338i \(0.267235\pi\)
−0.549407 + 0.835555i \(0.685146\pi\)
\(152\) 5.56965 + 6.98413i 0.451759 + 0.566487i
\(153\) 20.5282 + 3.09413i 1.65961 + 0.250146i
\(154\) −0.451739 + 5.73836i −0.0364022 + 0.462410i
\(155\) 6.85092 + 2.11323i 0.550279 + 0.169739i
\(156\) 10.7507 + 3.31614i 0.860742 + 0.265504i
\(157\) −4.10595 + 5.14870i −0.327690 + 0.410911i −0.918198 0.396121i \(-0.870356\pi\)
0.590508 + 0.807032i \(0.298927\pi\)
\(158\) 4.82389 2.32306i 0.383768 0.184813i
\(159\) −31.1131 + 9.59713i −2.46743 + 0.761102i
\(160\) 3.47393 + 2.36849i 0.274638 + 0.187245i
\(161\) 7.53907 12.9454i 0.594162 1.02024i
\(162\) 3.67012 3.40538i 0.288352 0.267552i
\(163\) −6.07186 + 15.4708i −0.475584 + 1.21177i 0.468911 + 0.883245i \(0.344646\pi\)
−0.944496 + 0.328524i \(0.893449\pi\)
\(164\) −3.98311 + 1.22863i −0.311029 + 0.0959396i
\(165\) 4.78871 0.372800
\(166\) −22.0129 −1.70853
\(167\) 8.11260 2.50241i 0.627772 0.193642i 0.0354865 0.999370i \(-0.488702\pi\)
0.592286 + 0.805728i \(0.298226\pi\)
\(168\) −12.5088 + 11.5192i −0.965073 + 0.888726i
\(169\) 1.98908 + 26.5424i 0.153006 + 2.04173i
\(170\) 0.588017 7.84654i 0.0450988 0.601802i
\(171\) −10.5772 18.3203i −0.808862 1.40099i
\(172\) 4.07144 + 0.0339438i 0.310444 + 0.00258819i
\(173\) 7.55505 13.0857i 0.574400 0.994889i −0.421707 0.906732i \(-0.638569\pi\)
0.996107 0.0881572i \(-0.0280978\pi\)
\(174\) −22.3675 + 10.7716i −1.69567 + 0.816594i
\(175\) −0.720043 + 9.14657i −0.0544301 + 0.691416i
\(176\) −4.06901 + 5.10237i −0.306713 + 0.384606i
\(177\) 5.26172 23.0531i 0.395495 1.73278i
\(178\) −2.43421 + 4.21618i −0.182452 + 0.316016i
\(179\) 0.654360 0.0489092 0.0244546 0.999701i \(-0.492215\pi\)
0.0244546 + 0.999701i \(0.492215\pi\)
\(180\) −2.97884 2.76396i −0.222030 0.206013i
\(181\) −4.32351 + 0.651664i −0.321364 + 0.0484378i −0.307743 0.951469i \(-0.599574\pi\)
−0.0136206 + 0.999907i \(0.504336\pi\)
\(182\) 24.2457 + 11.7886i 1.79721 + 0.873833i
\(183\) 2.07227 + 2.59855i 0.153187 + 0.192090i
\(184\) 11.3896 5.48496i 0.839656 0.404357i
\(185\) 0.0934768 0.409548i 0.00687255 0.0301106i
\(186\) 24.3199 11.7119i 1.78322 0.858756i
\(187\) 5.21775 + 0.786449i 0.381559 + 0.0575108i
\(188\) 0.215100 + 0.942417i 0.0156878 + 0.0687328i
\(189\) 14.4299 9.75884i 1.04962 0.709851i
\(190\) −6.62480 + 4.51672i −0.480614 + 0.327677i
\(191\) −2.40274 + 3.01294i −0.173856 + 0.218009i −0.861124 0.508396i \(-0.830239\pi\)
0.687267 + 0.726405i \(0.258810\pi\)
\(192\) −11.9944 + 1.80787i −0.865625 + 0.130472i
\(193\) −1.53046 20.4225i −0.110165 1.47004i −0.728994 0.684520i \(-0.760012\pi\)
0.618830 0.785525i \(-0.287607\pi\)
\(194\) 10.2028 6.95614i 0.732517 0.499422i
\(195\) 8.19412 20.8783i 0.586793 1.49513i
\(196\) 3.60946 2.42132i 0.257818 0.172951i
\(197\) −6.22896 + 4.24683i −0.443795 + 0.302574i −0.764522 0.644597i \(-0.777025\pi\)
0.320727 + 0.947172i \(0.396073\pi\)
\(198\) 8.43213 7.82387i 0.599245 0.556019i
\(199\) 15.7543 14.6179i 1.11679 1.03623i 0.117728 0.993046i \(-0.462439\pi\)
0.999067 0.0431883i \(-0.0137515\pi\)
\(200\) −4.82724 + 6.05317i −0.341337 + 0.428024i
\(201\) −29.5661 20.1579i −2.08544 1.42183i
\(202\) −6.71562 6.23118i −0.472509 0.438425i
\(203\) −13.4832 + 4.10353i −0.946332 + 0.288012i
\(204\) −4.37590 5.48721i −0.306375 0.384182i
\(205\) 1.84910 + 8.10146i 0.129147 + 0.565830i
\(206\) 7.28080 + 9.12983i 0.507277 + 0.636106i
\(207\) −28.6067 + 8.82400i −1.98830 + 0.613311i
\(208\) 15.2832 + 26.4713i 1.05970 + 1.83546i
\(209\) −2.68847 4.65656i −0.185965 0.322101i
\(210\) −9.47136 11.9688i −0.653586 0.825924i
\(211\) 8.55047 10.7219i 0.588638 0.738129i −0.394921 0.918715i \(-0.629228\pi\)
0.983559 + 0.180586i \(0.0577994\pi\)
\(212\) 6.32726 + 3.04705i 0.434558 + 0.209272i
\(213\) 29.4241 + 20.0610i 2.01611 + 1.37456i
\(214\) −6.05055 10.4799i −0.413607 0.716389i
\(215\) 0.674043 8.08896i 0.0459694 0.551663i
\(216\) 14.7000 1.00021
\(217\) 14.6601 4.46173i 0.995193 0.302882i
\(218\) −1.50875 20.1329i −0.102186 1.36357i
\(219\) 1.63400 + 4.16337i 0.110416 + 0.281334i
\(220\) −0.757145 0.702528i −0.0510467 0.0473644i
\(221\) 12.3571 21.4031i 0.831229 1.43973i
\(222\) −0.790807 1.36972i −0.0530755 0.0919295i
\(223\) −4.77577 + 20.9240i −0.319809 + 1.40118i 0.518079 + 0.855333i \(0.326647\pi\)
−0.837888 + 0.545842i \(0.816210\pi\)
\(224\) 8.98671 + 0.0337976i 0.600450 + 0.00225820i
\(225\) 13.4403 12.4708i 0.896018 0.831383i
\(226\) −9.55849 + 1.44071i −0.635821 + 0.0958346i
\(227\) 0.373324 4.98167i 0.0247784 0.330645i −0.971015 0.239018i \(-0.923174\pi\)
0.995793 0.0916265i \(-0.0292066\pi\)
\(228\) −1.59141 + 6.97244i −0.105394 + 0.461761i
\(229\) 7.42286 + 5.06082i 0.490516 + 0.334428i 0.783188 0.621785i \(-0.213592\pi\)
−0.292672 + 0.956213i \(0.594544\pi\)
\(230\) 4.14541 + 10.5623i 0.273340 + 0.696460i
\(231\) 8.47853 5.73398i 0.557846 0.377268i
\(232\) −11.3648 3.50557i −0.746134 0.230152i
\(233\) −0.775895 10.3536i −0.0508306 0.678287i −0.963177 0.268868i \(-0.913351\pi\)
0.912347 0.409419i \(-0.134269\pi\)
\(234\) −19.6828 50.1510i −1.28671 3.27847i
\(235\) 1.90557 0.287218i 0.124306 0.0187361i
\(236\) −4.21394 + 2.87302i −0.274304 + 0.187018i
\(237\) −8.57776 4.13083i −0.557185 0.268326i
\(238\) −8.35431 14.5966i −0.541530 0.946157i
\(239\) 0.0568959 + 0.00857567i 0.00368029 + 0.000554714i 0.150882 0.988552i \(-0.451789\pi\)
−0.147202 + 0.989106i \(0.547027\pi\)
\(240\) −1.29320 17.2565i −0.0834754 1.11390i
\(241\) −1.11764 4.89668i −0.0719932 0.315423i 0.926090 0.377302i \(-0.123148\pi\)
−0.998084 + 0.0618787i \(0.980291\pi\)
\(242\) −10.9111 + 10.1240i −0.701390 + 0.650795i
\(243\) 10.7285 + 1.61706i 0.688235 + 0.103735i
\(244\) 0.0535722 0.714871i 0.00342961 0.0457649i
\(245\) −4.27584 7.53632i −0.273174 0.481478i
\(246\) 25.8502 + 17.6244i 1.64815 + 1.12369i
\(247\) −24.9025 + 3.75344i −1.58451 + 0.238826i
\(248\) 12.3568 + 3.81157i 0.784658 + 0.242035i
\(249\) 24.4052 + 30.6032i 1.54662 + 1.93940i
\(250\) −12.4392 11.5419i −0.786722 0.729971i
\(251\) −7.10484 + 12.3059i −0.448453 + 0.776744i −0.998286 0.0585312i \(-0.981358\pi\)
0.549832 + 0.835275i \(0.314692\pi\)
\(252\) −8.58367 1.32681i −0.540720 0.0835814i
\(253\) −7.27110 + 2.24284i −0.457130 + 0.141006i
\(254\) 3.26365 + 8.31565i 0.204780 + 0.521770i
\(255\) −11.5605 + 7.88181i −0.723946 + 0.493578i
\(256\) 11.2486 + 7.66915i 0.703036 + 0.479322i
\(257\) −8.86038 + 15.3466i −0.552696 + 0.957297i 0.445383 + 0.895340i \(0.353067\pi\)
−0.998079 + 0.0619567i \(0.980266\pi\)
\(258\) −18.8544 24.0513i −1.17383 1.49737i
\(259\) −0.324889 0.837045i −0.0201876 0.0520115i
\(260\) −4.35853 + 2.09896i −0.270304 + 0.130172i
\(261\) 25.3753 + 12.2201i 1.57069 + 0.756404i
\(262\) −26.0251 3.92265i −1.60784 0.242342i
\(263\) −8.18010 7.59002i −0.504406 0.468021i 0.386447 0.922312i \(-0.373702\pi\)
−0.890853 + 0.454291i \(0.849893\pi\)
\(264\) 8.63725 0.531586
\(265\) 7.00017 12.1246i 0.430017 0.744811i
\(266\) −6.32110 + 15.9295i −0.387571 + 0.976699i
\(267\) 8.56026 1.29025i 0.523879 0.0789621i
\(268\) 1.71746 + 7.52467i 0.104910 + 0.459643i
\(269\) 0.627691 1.59933i 0.0382710 0.0975129i −0.910461 0.413596i \(-0.864273\pi\)
0.948732 + 0.316083i \(0.102368\pi\)
\(270\) −0.986011 + 13.1574i −0.0600067 + 0.800734i
\(271\) 26.9291 8.30652i 1.63582 0.504585i 0.665501 0.746397i \(-0.268218\pi\)
0.970323 + 0.241812i \(0.0777417\pi\)
\(272\) 1.42497 19.0150i 0.0864018 1.15295i
\(273\) −10.4917 46.7772i −0.634984 2.83108i
\(274\) 6.75930 + 29.6144i 0.408344 + 1.78907i
\(275\) 3.41617 3.16975i 0.206003 0.191143i
\(276\) 9.11850 + 4.39124i 0.548869 + 0.264321i
\(277\) 5.27383 + 13.4375i 0.316874 + 0.807381i 0.997222 + 0.0744920i \(0.0237335\pi\)
−0.680348 + 0.732889i \(0.738171\pi\)
\(278\) 8.78801 + 11.0198i 0.527070 + 0.660925i
\(279\) −27.5903 13.2868i −1.65179 0.795459i
\(280\) 0.573835 7.28932i 0.0342932 0.435620i
\(281\) 3.53608 9.00980i 0.210945 0.537479i −0.785765 0.618525i \(-0.787731\pi\)
0.996710 + 0.0810453i \(0.0258259\pi\)
\(282\) 4.52376 5.67262i 0.269386 0.337800i
\(283\) 11.7343 + 5.65094i 0.697531 + 0.335913i 0.748823 0.662770i \(-0.230619\pi\)
−0.0512914 + 0.998684i \(0.516334\pi\)
\(284\) −1.70921 7.48853i −0.101423 0.444362i
\(285\) 13.6241 + 4.20248i 0.807022 + 0.248933i
\(286\) −5.00287 12.7471i −0.295826 0.753751i
\(287\) 12.9745 + 12.1297i 0.765863 + 0.715996i
\(288\) −13.1647 12.2151i −0.775739 0.719780i
\(289\) 1.42579 0.686625i 0.0838701 0.0403897i
\(290\) 3.89999 9.93702i 0.229016 0.583522i
\(291\) −20.9823 6.47219i −1.23001 0.379407i
\(292\) 0.352435 0.897989i 0.0206247 0.0525508i
\(293\) −4.20018 + 18.4022i −0.245377 + 1.07507i 0.690664 + 0.723176i \(0.257318\pi\)
−0.936041 + 0.351891i \(0.885539\pi\)
\(294\) −31.1007 9.85007i −1.81383 0.574468i
\(295\) 5.08376 + 8.80534i 0.295988 + 0.512667i
\(296\) 0.168601 0.738691i 0.00979976 0.0429355i
\(297\) −8.74934 1.31875i −0.507688 0.0765217i
\(298\) 7.77127 5.29836i 0.450177 0.306926i
\(299\) −2.66328 + 35.5391i −0.154022 + 2.05528i
\(300\) −6.19844 −0.357867
\(301\) −8.49228 15.1288i −0.489487 0.872011i
\(302\) −31.5180 −1.81366
\(303\) −1.21737 + 16.2447i −0.0699362 + 0.933234i
\(304\) −16.0543 + 10.9456i −0.920776 + 0.627774i
\(305\) −1.41318 0.213003i −0.0809185 0.0121965i
\(306\) −7.47870 + 32.7663i −0.427529 + 1.87313i
\(307\) 15.7095 + 27.2096i 0.896588 + 1.55294i 0.831827 + 0.555035i \(0.187295\pi\)
0.0647609 + 0.997901i \(0.479372\pi\)
\(308\) −2.18175 0.337242i −0.124317 0.0192162i
\(309\) 4.62059 20.2441i 0.262856 1.15165i
\(310\) −4.24043 + 10.8044i −0.240840 + 0.613650i
\(311\) 18.0251 + 5.56000i 1.02211 + 0.315278i 0.760113 0.649791i \(-0.225144\pi\)
0.261995 + 0.965069i \(0.415620\pi\)
\(312\) 14.7795 37.6576i 0.836725 2.13194i
\(313\) 6.52245 3.14105i 0.368671 0.177543i −0.240370 0.970681i \(-0.577269\pi\)
0.609041 + 0.793139i \(0.291555\pi\)
\(314\) −7.81529 7.25153i −0.441042 0.409227i
\(315\) −3.91650 + 16.8667i −0.220670 + 0.950328i
\(316\) 0.750220 + 1.91153i 0.0422032 + 0.107532i
\(317\) −21.5939 6.66085i −1.21284 0.374110i −0.378622 0.925551i \(-0.623602\pi\)
−0.834214 + 0.551441i \(0.814078\pi\)
\(318\) −11.7294 51.3900i −0.657754 2.88181i
\(319\) 6.44974 + 3.10603i 0.361116 + 0.173904i
\(320\) 3.25196 4.07783i 0.181790 0.227958i
\(321\) −7.86140 + 20.0305i −0.438781 + 1.11800i
\(322\) 19.9869 + 13.7372i 1.11382 + 0.765544i
\(323\) 14.1546 + 6.81649i 0.787582 + 0.379279i
\(324\) 1.19723 + 1.50128i 0.0665129 + 0.0834045i
\(325\) −7.97424 20.3180i −0.442332 1.12704i
\(326\) −24.2415 11.6741i −1.34261 0.646567i
\(327\) −26.3168 + 24.4184i −1.45532 + 1.35034i
\(328\) 3.33518 + 14.6124i 0.184154 + 0.806833i
\(329\) 3.02995 2.79025i 0.167046 0.153831i
\(330\) −0.579348 + 7.73087i −0.0318921 + 0.425570i
\(331\) −13.6777 + 4.21903i −0.751797 + 0.231899i −0.646890 0.762583i \(-0.723931\pi\)
−0.104907 + 0.994482i \(0.533454\pi\)
\(332\) 0.630921 8.41905i 0.0346263 0.462056i
\(333\) −0.655530 + 1.67026i −0.0359228 + 0.0915298i
\(334\) 3.05839 + 13.3997i 0.167348 + 0.733199i
\(335\) 15.2149 2.29328i 0.831279 0.125295i
\(336\) −22.9525 29.0046i −1.25216 1.58233i
\(337\) −4.96891 + 8.60641i −0.270674 + 0.468821i −0.969035 0.246925i \(-0.920580\pi\)
0.698361 + 0.715746i \(0.253913\pi\)
\(338\) −43.0907 −2.34382
\(339\) 12.6002 + 11.6913i 0.684351 + 0.634985i
\(340\) 2.98414 + 0.449786i 0.161838 + 0.0243931i
\(341\) −7.01274 3.37716i −0.379761 0.182883i
\(342\) 30.8559 14.8594i 1.66850 0.803506i
\(343\) −16.5945 8.22339i −0.896016 0.444021i
\(344\) 1.21575 14.5898i 0.0655490 0.786631i
\(345\) 10.0883 17.4734i 0.543133 0.940734i
\(346\) 20.2115 + 13.7800i 1.08658 + 0.740816i
\(347\) −20.1074 + 13.7090i −1.07942 + 0.735939i −0.966242 0.257636i \(-0.917057\pi\)
−0.113182 + 0.993574i \(0.536104\pi\)
\(348\) −3.47863 8.86341i −0.186474 0.475129i
\(349\) 21.8132 6.72848i 1.16763 0.360167i 0.350471 0.936574i \(-0.386022\pi\)
0.817163 + 0.576406i \(0.195545\pi\)
\(350\) −14.6791 2.26901i −0.784630 0.121284i
\(351\) −20.7209 + 35.8897i −1.10600 + 1.91565i
\(352\) −3.34614 3.10476i −0.178350 0.165484i
\(353\) −16.3311 20.4786i −0.869217 1.08996i −0.995193 0.0979306i \(-0.968778\pi\)
0.125976 0.992033i \(-0.459794\pi\)
\(354\) 36.5803 + 11.2835i 1.94422 + 0.599712i
\(355\) −15.1418 + 2.28226i −0.803645 + 0.121130i
\(356\) −1.54275 1.05183i −0.0817657 0.0557469i
\(357\) −11.0305 + 27.7974i −0.583797 + 1.47120i
\(358\) −0.0791660 + 1.05640i −0.00418405 + 0.0558323i
\(359\) 31.4743 + 4.74399i 1.66115 + 0.250378i 0.911454 0.411403i \(-0.134961\pi\)
0.749697 + 0.661781i \(0.230199\pi\)
\(360\) −10.7112 + 9.93851i −0.564528 + 0.523806i
\(361\) 0.665589 + 2.91614i 0.0350310 + 0.153481i
\(362\) −0.528976 7.05870i −0.0278024 0.370997i
\(363\) 26.1717 + 3.94474i 1.37366 + 0.207045i
\(364\) −5.20361 + 8.93514i −0.272743 + 0.468329i
\(365\) −1.73270 0.834422i −0.0906934 0.0436756i
\(366\) −4.44579 + 3.03109i −0.232385 + 0.158438i
\(367\) −9.08228 + 1.36893i −0.474091 + 0.0714577i −0.381742 0.924269i \(-0.624676\pi\)
−0.0923492 + 0.995727i \(0.529438\pi\)
\(368\) 10.0458 + 25.5963i 0.523674 + 1.33430i
\(369\) −2.65245 35.3945i −0.138081 1.84256i
\(370\) 0.649864 + 0.200457i 0.0337848 + 0.0104212i
\(371\) −2.12402 29.8490i −0.110273 1.54968i
\(372\) 3.78228 + 9.63710i 0.196102 + 0.499660i
\(373\) 10.1708 + 6.93435i 0.526625 + 0.359047i 0.797261 0.603635i \(-0.206282\pi\)
−0.270636 + 0.962682i \(0.587234\pi\)
\(374\) −1.90089 + 8.32836i −0.0982929 + 0.430649i
\(375\) −2.25491 + 30.0897i −0.116443 + 1.55382i
\(376\) 3.43702 0.518048i 0.177251 0.0267163i
\(377\) 24.5784 22.8054i 1.26585 1.17454i
\(378\) 14.0089 + 24.4762i 0.720538 + 1.25892i
\(379\) 3.66229 16.0455i 0.188119 0.824204i −0.789488 0.613766i \(-0.789654\pi\)
0.977607 0.210438i \(-0.0674890\pi\)
\(380\) −1.53759 2.66318i −0.0788767 0.136618i
\(381\) 7.94241 13.7567i 0.406902 0.704775i
\(382\) −4.57339 4.24349i −0.233995 0.217116i
\(383\) −2.91595 7.42972i −0.148998 0.379641i 0.836815 0.547485i \(-0.184415\pi\)
−0.985814 + 0.167844i \(0.946320\pi\)
\(384\) −2.92895 39.0842i −0.149467 1.99450i
\(385\) −0.995474 + 4.28707i −0.0507340 + 0.218489i
\(386\) 33.1552 1.68755
\(387\) −7.99637 + 33.7355i −0.406478 + 1.71487i
\(388\) 2.36802 + 4.10154i 0.120218 + 0.208224i
\(389\) −20.7057 14.1169i −1.04982 0.715754i −0.0898765 0.995953i \(-0.528647\pi\)
−0.959942 + 0.280199i \(0.909600\pi\)
\(390\) 32.7145 + 15.7545i 1.65656 + 0.797758i
\(391\) 13.8617 17.3821i 0.701019 0.879050i
\(392\) −7.71222 13.5931i −0.389526 0.686553i
\(393\) 23.4001 + 40.5301i 1.18038 + 2.04447i
\(394\) −6.10248 10.5698i −0.307438 0.532499i
\(395\) 3.91189 1.20666i 0.196828 0.0607135i
\(396\) 2.75065 + 3.44920i 0.138225 + 0.173329i
\(397\) −2.07863 9.10706i −0.104323 0.457070i −0.999925 0.0122142i \(-0.996112\pi\)
0.895602 0.444856i \(-0.146745\pi\)
\(398\) 21.6931 + 27.2022i 1.08737 + 1.36352i
\(399\) 29.1539 8.87285i 1.45952 0.444198i
\(400\) −12.3450 11.4545i −0.617249 0.572723i
\(401\) −22.1909 15.1295i −1.10816 0.755530i −0.136200 0.990681i \(-0.543489\pi\)
−0.971959 + 0.235152i \(0.924441\pi\)
\(402\) 36.1197 45.2927i 1.80149 2.25900i
\(403\) −26.7238 + 24.7961i −1.33121 + 1.23518i
\(404\) 2.57566 2.38986i 0.128144 0.118900i
\(405\) 3.16291 2.15644i 0.157166 0.107154i
\(406\) −4.99351 22.2636i −0.247824 1.10492i
\(407\) −0.166619 + 0.424538i −0.00825899 + 0.0210436i
\(408\) −20.8513 + 14.2162i −1.03229 + 0.703807i
\(409\) −2.01925 26.9451i −0.0998457 1.33235i −0.791966 0.610566i \(-0.790942\pi\)
0.692120 0.721782i \(-0.256677\pi\)
\(410\) −13.3027 + 2.00505i −0.656972 + 0.0990226i
\(411\) 33.6773 42.2300i 1.66118 2.08305i
\(412\) −3.70048 + 2.52294i −0.182310 + 0.124297i
\(413\) 19.5444 + 9.50281i 0.961718 + 0.467603i
\(414\) −10.7845 47.2501i −0.530031 2.32222i
\(415\) −16.6431 2.50854i −0.816976 0.123139i
\(416\) −19.2621 + 9.27616i −0.944404 + 0.454801i
\(417\) 5.57711 24.4349i 0.273112 1.19658i
\(418\) 7.84279 3.77689i 0.383603 0.184734i
\(419\) −21.3299 26.7468i −1.04203 1.30667i −0.950453 0.310868i \(-0.899380\pi\)
−0.0915784 0.995798i \(-0.529191\pi\)
\(420\) 4.84905 3.27938i 0.236609 0.160017i
\(421\) −2.65041 + 0.399484i −0.129173 + 0.0194697i −0.213310 0.976984i \(-0.568425\pi\)
0.0841376 + 0.996454i \(0.473186\pi\)
\(422\) 16.2750 + 15.1010i 0.792255 + 0.735105i
\(423\) −8.23122 −0.400215
\(424\) 12.6260 21.8689i 0.613173 1.06205i
\(425\) −3.02990 + 13.2749i −0.146972 + 0.643926i
\(426\) −35.9462 + 45.0751i −1.74160 + 2.18390i
\(427\) −2.75712 + 1.31501i −0.133427 + 0.0636378i
\(428\) 4.18155 2.01373i 0.202123 0.0973373i
\(429\) −12.1749 + 21.0876i −0.587812 + 1.01812i
\(430\) 12.9772 + 2.06679i 0.625818 + 0.0996696i
\(431\) −3.74154 6.48053i −0.180223 0.312156i 0.761733 0.647891i \(-0.224349\pi\)
−0.941957 + 0.335735i \(0.891015\pi\)
\(432\) −2.38946 + 31.8851i −0.114963 + 1.53407i
\(433\) 0.927056 + 12.3707i 0.0445515 + 0.594498i 0.974147 + 0.225916i \(0.0725376\pi\)
−0.929595 + 0.368582i \(0.879843\pi\)
\(434\) 5.42939 + 24.2070i 0.260619 + 1.16197i
\(435\) −18.1387 + 5.59505i −0.869684 + 0.268262i
\(436\) 7.74328 0.370836
\(437\) −22.6549 −1.08373
\(438\) −6.91901 + 2.13423i −0.330603 + 0.101978i
\(439\) 10.0888 25.7058i 0.481512 1.22687i −0.459403 0.888228i \(-0.651936\pi\)
0.940915 0.338644i \(-0.109968\pi\)
\(440\) −2.72250 + 2.52612i −0.129790 + 0.120428i
\(441\) 13.2618 + 34.5525i 0.631514 + 1.64536i
\(442\) 33.0582 + 22.5387i 1.57242 + 1.07206i
\(443\) −16.4455 + 5.07277i −0.781350 + 0.241015i −0.659671 0.751555i \(-0.729304\pi\)
−0.121680 + 0.992569i \(0.538828\pi\)
\(444\) 0.546529 0.263194i 0.0259371 0.0124907i
\(445\) −2.32088 + 2.91029i −0.110020 + 0.137961i
\(446\) −33.2019 10.2414i −1.57215 0.484945i
\(447\) −15.9818 4.92975i −0.755915 0.233169i
\(448\) 0.874908 11.1138i 0.0413355 0.525078i
\(449\) 4.86660 + 0.733522i 0.229669 + 0.0346170i 0.262868 0.964832i \(-0.415332\pi\)
−0.0331993 + 0.999449i \(0.510570\pi\)
\(450\) 18.5067 + 23.2067i 0.872414 + 1.09397i
\(451\) −0.674185 8.99638i −0.0317461 0.423623i
\(452\) −0.277055 3.69704i −0.0130316 0.173894i
\(453\) 34.9433 + 43.8176i 1.64178 + 2.05873i
\(454\) 7.99722 + 1.20539i 0.375328 + 0.0565716i
\(455\) 16.9878 + 11.6759i 0.796401 + 0.547376i
\(456\) 24.5734 + 7.57990i 1.15076 + 0.354961i
\(457\) 10.7613 + 3.31942i 0.503392 + 0.155276i 0.536042 0.844191i \(-0.319919\pi\)
−0.0326507 + 0.999467i \(0.510395\pi\)
\(458\) −9.06820 + 11.3712i −0.423729 + 0.531339i
\(459\) 23.2925 11.2171i 1.08720 0.523568i
\(460\) −4.15849 + 1.28272i −0.193891 + 0.0598073i
\(461\) −2.55149 1.73958i −0.118835 0.0810203i 0.502444 0.864610i \(-0.332434\pi\)
−0.621279 + 0.783589i \(0.713387\pi\)
\(462\) 8.23116 + 14.3814i 0.382948 + 0.669084i
\(463\) −18.0695 + 16.7660i −0.839760 + 0.779183i −0.977422 0.211296i \(-0.932232\pi\)
0.137662 + 0.990479i \(0.456041\pi\)
\(464\) 9.45108 24.0810i 0.438755 1.11793i
\(465\) 19.7220 6.08344i 0.914587 0.282113i
\(466\) 16.8087 0.778647
\(467\) 0.977305 0.0452243 0.0226121 0.999744i \(-0.492802\pi\)
0.0226121 + 0.999744i \(0.492802\pi\)
\(468\) 19.7449 6.09050i 0.912709 0.281533i
\(469\) 24.1924 22.2786i 1.11710 1.02873i
\(470\) 0.233144 + 3.11109i 0.0107541 + 0.143504i
\(471\) −1.41672 + 18.9048i −0.0652788 + 0.871085i
\(472\) 9.16944 + 15.8819i 0.422058 + 0.731026i
\(473\) −2.03247 + 8.57469i −0.0934532 + 0.394265i
\(474\) 7.70655 13.3481i 0.353974 0.613101i
\(475\) 12.5009 6.02011i 0.573580 0.276222i
\(476\) 5.82207 2.77684i 0.266854 0.127276i
\(477\) −37.2845 + 46.7533i −1.70714 + 2.14069i
\(478\) −0.0207279 + 0.0908149i −0.000948073 + 0.00415378i
\(479\) −4.42455 + 7.66355i −0.202163 + 0.350156i −0.949225 0.314598i \(-0.898130\pi\)
0.747062 + 0.664754i \(0.231464\pi\)
\(480\) 12.1037 0.552456
\(481\) 1.56584 + 1.45288i 0.0713960 + 0.0662458i
\(482\) 8.04039 1.21189i 0.366230 0.0552003i
\(483\) −3.06101 43.0167i −0.139281 1.95733i
\(484\) −3.55930 4.46322i −0.161786 0.202874i
\(485\) 8.50664 4.09658i 0.386267 0.186016i
\(486\) −3.90854 + 17.1244i −0.177295 + 0.776780i
\(487\) 22.2189 10.7000i 1.00683 0.484865i 0.143581 0.989639i \(-0.454138\pi\)
0.863252 + 0.504773i \(0.168424\pi\)
\(488\) −2.54892 0.384187i −0.115384 0.0173913i
\(489\) 10.6463 + 46.6443i 0.481440 + 2.10933i
\(490\) 12.6839 5.99114i 0.573001 0.270652i
\(491\) −28.9388 + 19.7302i −1.30599 + 0.890410i −0.998136 0.0610237i \(-0.980563\pi\)
−0.307855 + 0.951433i \(0.599611\pi\)
\(492\) −7.48153 + 9.38155i −0.337294 + 0.422953i
\(493\) −20.6827 + 3.11741i −0.931502 + 0.140401i
\(494\) −3.04679 40.6565i −0.137081 1.82922i
\(495\) 7.26680 4.95442i 0.326618 0.222685i
\(496\) −10.2761 + 26.1830i −0.461409 + 1.17565i
\(497\) −24.0762 + 22.1716i −1.07997 + 0.994531i
\(498\) −52.3582 + 35.6972i −2.34623 + 1.59963i
\(499\) −3.29075 + 3.05337i −0.147314 + 0.136688i −0.750388 0.660998i \(-0.770133\pi\)
0.603073 + 0.797686i \(0.293943\pi\)
\(500\) 4.77083 4.42668i 0.213358 0.197967i
\(501\) 15.2380 19.1079i 0.680785 0.853677i
\(502\) −19.0071 12.9588i −0.848328 0.578380i
\(503\) −1.25941 1.16856i −0.0561543 0.0521036i 0.651596 0.758566i \(-0.274100\pi\)
−0.707751 + 0.706462i \(0.750290\pi\)
\(504\) −7.06408 + 30.4219i −0.314659 + 1.35510i
\(505\) −4.36733 5.47646i −0.194344 0.243699i
\(506\) −2.74115 12.0098i −0.121859 0.533899i
\(507\) 47.7737 + 59.9064i 2.12171 + 2.66054i
\(508\) −3.27395 + 1.00988i −0.145258 + 0.0448062i
\(509\) −5.29427 9.16994i −0.234664 0.406451i 0.724511 0.689264i \(-0.242066\pi\)
−0.959175 + 0.282813i \(0.908732\pi\)
\(510\) −11.3257 19.6168i −0.501513 0.868645i
\(511\) −4.06692 + 0.597356i −0.179910 + 0.0264255i
\(512\) 3.23555 4.05726i 0.142993 0.179307i
\(513\) −23.7350 11.4302i −1.04793 0.504655i
\(514\) −23.7036 16.1608i −1.04552 0.712824i
\(515\) 4.46431 + 7.73242i 0.196721 + 0.340731i
\(516\) 9.73908 6.52173i 0.428739 0.287103i
\(517\) −2.09216 −0.0920133
\(518\) 1.39063 0.423231i 0.0611007 0.0185957i
\(519\) −3.25062 43.3764i −0.142686 1.90401i
\(520\) 6.35504 + 16.1924i 0.278687 + 0.710083i
\(521\) −27.3321 25.3605i −1.19744 1.11106i −0.991174 0.132568i \(-0.957678\pi\)
−0.206268 0.978496i \(-0.566132\pi\)
\(522\) −22.7980 + 39.4873i −0.997841 + 1.72831i
\(523\) −21.6337 37.4707i −0.945977 1.63848i −0.753783 0.657123i \(-0.771773\pi\)
−0.192194 0.981357i \(-0.561560\pi\)
\(524\) 2.24618 9.84115i 0.0981247 0.429912i
\(525\) 13.1199 + 22.9231i 0.572601 + 1.00044i
\(526\) 13.2429 12.2877i 0.577420 0.535767i
\(527\) 22.4881 3.38954i 0.979597 0.147650i
\(528\) −1.40397 + 18.7347i −0.0610999 + 0.815321i
\(529\) −2.01604 + 8.83286i −0.0876541 + 0.384038i
\(530\) 18.7271 + 12.7679i 0.813452 + 0.554602i
\(531\) −15.8663 40.4266i −0.688538 1.75437i
\(532\) −5.91123 2.87413i −0.256284 0.124609i
\(533\) −40.3769 12.4546i −1.74892 0.539470i
\(534\) 1.04734 + 13.9757i 0.0453227 + 0.604789i
\(535\) −3.38032 8.61293i −0.146144 0.372369i
\(536\) 27.4427 4.13632i 1.18534 0.178662i
\(537\) 1.55641 1.06115i 0.0671642 0.0457918i
\(538\) 2.50601 + 1.20683i 0.108042 + 0.0520302i
\(539\) 3.37081 + 8.78235i 0.145191 + 0.378283i
\(540\) −5.00393 0.754221i −0.215335 0.0324565i
\(541\) 0.446798 + 5.96210i 0.0192093 + 0.256331i 0.998538 + 0.0540550i \(0.0172146\pi\)
−0.979329 + 0.202276i \(0.935166\pi\)
\(542\) 10.1521 + 44.4791i 0.436069 + 1.91054i
\(543\) −9.22682 + 8.56124i −0.395961 + 0.367398i
\(544\) 13.1881 + 1.98779i 0.565437 + 0.0852259i
\(545\) 1.15359 15.3936i 0.0494145 0.659391i
\(546\) 76.7862 11.2785i 3.28615 0.482674i
\(547\) 19.1464 + 13.0538i 0.818642 + 0.558141i 0.898657 0.438653i \(-0.144544\pi\)
−0.0800143 + 0.996794i \(0.525497\pi\)
\(548\) −11.5201 + 1.73637i −0.492114 + 0.0741742i
\(549\) 5.83312 + 1.79928i 0.248952 + 0.0767914i
\(550\) 4.70393 + 5.89854i 0.200576 + 0.251515i
\(551\) 15.6240 + 14.4970i 0.665607 + 0.617593i
\(552\) 18.1959 31.5162i 0.774469 1.34142i
\(553\) 5.48125 6.82050i 0.233087 0.290037i
\(554\) −22.3315 + 6.88835i −0.948774 + 0.292658i
\(555\) −0.441809 1.12571i −0.0187537 0.0477837i
\(556\) −4.46652 + 3.04522i −0.189423 + 0.129146i
\(557\) 3.60176 + 2.45564i 0.152612 + 0.104049i 0.637218 0.770683i \(-0.280085\pi\)
−0.484607 + 0.874732i \(0.661037\pi\)
\(558\) 24.7881 42.9342i 1.04936 1.81755i
\(559\) 33.9070 + 23.5338i 1.43411 + 0.995376i
\(560\) 15.7176 + 2.42954i 0.664192 + 0.102667i
\(561\) 13.6859 6.59079i 0.577820 0.278263i
\(562\) 14.1176 + 6.79867i 0.595514 + 0.286784i
\(563\) −27.8211 4.19336i −1.17252 0.176729i −0.466238 0.884659i \(-0.654391\pi\)
−0.706283 + 0.707930i \(0.749629\pi\)
\(564\) 2.03990 + 1.89275i 0.0858951 + 0.0796990i
\(565\) −7.39098 −0.310941
\(566\) −10.5425 + 18.2601i −0.443134 + 0.767531i
\(567\) 3.01791 7.60528i 0.126740 0.319392i
\(568\) −27.3109 + 4.11645i −1.14594 + 0.172723i
\(569\) 4.11282 + 18.0194i 0.172418 + 0.755414i 0.984998 + 0.172564i \(0.0552052\pi\)
−0.812580 + 0.582850i \(0.801938\pi\)
\(570\) −8.43274 + 21.4863i −0.353209 + 0.899961i
\(571\) −0.917183 + 12.2390i −0.0383829 + 0.512184i 0.944568 + 0.328316i \(0.106481\pi\)
−0.982951 + 0.183868i \(0.941138\pi\)
\(572\) 5.01865 1.54805i 0.209840 0.0647272i
\(573\) −0.829041 + 11.0628i −0.0346337 + 0.462154i
\(574\) −21.1519 + 19.4786i −0.882863 + 0.813020i
\(575\) −4.36922 19.1428i −0.182209 0.798310i
\(576\) −16.3310 + 15.1529i −0.680458 + 0.631373i
\(577\) −19.5994 9.43859i −0.815935 0.392934i −0.0211138 0.999777i \(-0.506721\pi\)
−0.794821 + 0.606843i \(0.792436\pi\)
\(578\) 0.935990 + 2.38486i 0.0389320 + 0.0991972i
\(579\) −36.7585 46.0937i −1.52763 1.91559i
\(580\) 3.68874 + 1.77640i 0.153167 + 0.0737612i
\(581\) −32.4707 + 15.4869i −1.34711 + 0.642505i
\(582\) 12.9872 33.0908i 0.538336 1.37166i
\(583\) −9.47678 + 11.8835i −0.392488 + 0.492164i
\(584\) −3.12521 1.50502i −0.129322 0.0622783i
\(585\) −9.16631 40.1602i −0.378980 1.66042i
\(586\) −29.2003 9.00709i −1.20625 0.372079i
\(587\) −15.7041 40.0133i −0.648176 1.65152i −0.753789 0.657117i \(-0.771776\pi\)
0.105613 0.994407i \(-0.466320\pi\)
\(588\) 4.65865 11.6125i 0.192120 0.478890i
\(589\) −16.9879 15.7624i −0.699973 0.649480i
\(590\) −14.8303 + 7.14192i −0.610556 + 0.294028i
\(591\) −7.92887 + 20.2024i −0.326150 + 0.831017i
\(592\) 1.57485 + 0.485778i 0.0647261 + 0.0199654i
\(593\) 12.9050 32.8814i 0.529945 1.35028i −0.375896 0.926662i \(-0.622665\pi\)
0.905842 0.423617i \(-0.139240\pi\)
\(594\) 3.18750 13.9654i 0.130785 0.573005i
\(595\) −4.65297 11.9880i −0.190753 0.491458i
\(596\) 1.80368 + 3.12406i 0.0738815 + 0.127967i
\(597\) 13.7670 60.3171i 0.563445 2.46862i
\(598\) −57.0519 8.59919i −2.33303 0.351647i
\(599\) 21.9387 14.9575i 0.896390 0.611149i −0.0250424 0.999686i \(-0.507972\pi\)
0.921433 + 0.388538i \(0.127020\pi\)
\(600\) −1.66559 + 22.2257i −0.0679974 + 0.907362i
\(601\) −6.73709 −0.274812 −0.137406 0.990515i \(-0.543876\pi\)
−0.137406 + 0.990515i \(0.543876\pi\)
\(602\) 25.4513 11.8796i 1.03732 0.484175i
\(603\) −65.7217 −2.67639
\(604\) 0.903351 12.0544i 0.0367568 0.490486i
\(605\) −9.40314 + 6.41095i −0.382292 + 0.260642i
\(606\) −26.0781 3.93064i −1.05935 0.159671i
\(607\) −5.98544 + 26.2239i −0.242941 + 1.06440i 0.695383 + 0.718639i \(0.255235\pi\)
−0.938324 + 0.345756i \(0.887622\pi\)
\(608\) −6.79524 11.7697i −0.275583 0.477325i
\(609\) −25.4156 + 31.6254i −1.02989 + 1.28153i
\(610\) 0.514841 2.25566i 0.0208453 0.0913292i
\(611\) −3.57998 + 9.12163i −0.144830 + 0.369022i
\(612\) −12.3175 3.79944i −0.497905 0.153583i
\(613\) 7.49342 19.0929i 0.302656 0.771155i −0.695936 0.718104i \(-0.745010\pi\)
0.998592 0.0530512i \(-0.0168947\pi\)
\(614\) −45.8277 + 22.0695i −1.84945 + 0.890651i
\(615\) 17.5359 + 16.2709i 0.707116 + 0.656108i
\(616\) −1.79551 + 7.73247i −0.0723431 + 0.311550i
\(617\) −10.0178 25.5250i −0.403302 1.02760i −0.977884 0.209150i \(-0.932930\pi\)
0.574581 0.818448i \(-0.305165\pi\)
\(618\) 32.1230 + 9.90864i 1.29218 + 0.398584i
\(619\) 2.58887 + 11.3426i 0.104056 + 0.455898i 0.999933 + 0.0115957i \(0.00369111\pi\)
−0.895877 + 0.444302i \(0.853452\pi\)
\(620\) −4.01073 1.93147i −0.161075 0.0775696i
\(621\) −23.2440 + 29.1470i −0.932749 + 1.16963i
\(622\) −11.1567 + 28.4269i −0.447345 + 1.13982i
\(623\) −0.624409 + 7.93176i −0.0250164 + 0.317779i
\(624\) 79.2789 + 38.1787i 3.17369 + 1.52837i
\(625\) 2.72113 + 3.41219i 0.108845 + 0.136487i
\(626\) 4.28179 + 10.9098i 0.171135 + 0.436045i
\(627\) −13.9459 6.71600i −0.556946 0.268211i
\(628\) 2.99742 2.78120i 0.119610 0.110982i
\(629\) −0.296517 1.29913i −0.0118229 0.0517995i
\(630\) −26.7556 8.36335i −1.06597 0.333204i
\(631\) 3.19238 42.5994i 0.127087 1.69586i −0.461275 0.887257i \(-0.652608\pi\)
0.588362 0.808598i \(-0.299773\pi\)
\(632\) 7.05576 2.17641i 0.280663 0.0865731i
\(633\) 2.95025 39.3683i 0.117262 1.56475i
\(634\) 13.3657 34.0553i 0.530821 1.35251i
\(635\) 1.51989 + 6.65906i 0.0603149 + 0.264257i
\(636\) 19.9908 3.01313i 0.792688 0.119478i
\(637\) 44.0581 + 0.331396i 1.74565 + 0.0131304i
\(638\) −5.79467 + 10.0367i −0.229413 + 0.397355i
\(639\) 65.4060 2.58742
\(640\) 12.3541 + 11.4629i 0.488337 + 0.453111i
\(641\) −24.4263 3.68168i −0.964782 0.145418i −0.352287 0.935892i \(-0.614596\pi\)
−0.612495 + 0.790474i \(0.709834\pi\)
\(642\) −31.3861 15.1148i −1.23871 0.596532i
\(643\) −7.99888 + 3.85206i −0.315445 + 0.151910i −0.584906 0.811101i \(-0.698869\pi\)
0.269461 + 0.963011i \(0.413154\pi\)
\(644\) −5.82679 + 7.25046i −0.229608 + 0.285708i
\(645\) −11.5143 20.3329i −0.453374 0.800607i
\(646\) −12.7170 + 22.0264i −0.500342 + 0.866618i
\(647\) 17.1456 + 11.6897i 0.674065 + 0.459569i 0.851356 0.524589i \(-0.175781\pi\)
−0.177291 + 0.984158i \(0.556733\pi\)
\(648\) 5.70485 3.88950i 0.224108 0.152794i
\(649\) −4.03280 10.2754i −0.158301 0.403345i
\(650\) 33.7661 10.4155i 1.32442 0.408528i
\(651\) 27.6341 34.3860i 1.08307 1.34769i
\(652\) 5.15967 8.93681i 0.202068 0.349992i
\(653\) 6.44347 + 5.97866i 0.252152 + 0.233963i 0.796114 0.605147i \(-0.206886\pi\)
−0.543961 + 0.839110i \(0.683076\pi\)
\(654\) −36.2372 45.4400i −1.41699 1.77684i
\(655\) −19.2296 5.93153i −0.751361 0.231764i
\(656\) −32.2371 + 4.85896i −1.25865 + 0.189711i
\(657\) 6.78702 + 4.62731i 0.264787 + 0.180529i
\(658\) 4.13800 + 5.22911i 0.161316 + 0.203852i
\(659\) −1.12148 + 14.9651i −0.0436867 + 0.582959i 0.931810 + 0.362946i \(0.118229\pi\)
−0.975497 + 0.220013i \(0.929390\pi\)
\(660\) −2.94015 0.443156i −0.114445 0.0172498i
\(661\) 24.5286 22.7592i 0.954053 0.885231i −0.0394292 0.999222i \(-0.512554\pi\)
0.993482 + 0.113991i \(0.0363635\pi\)
\(662\) −5.15641 22.5917i −0.200410 0.878052i
\(663\) −5.31674 70.9469i −0.206485 2.75535i
\(664\) −30.0186 4.52458i −1.16495 0.175588i
\(665\) −6.59443 + 11.3233i −0.255721 + 0.439100i
\(666\) −2.61716 1.26036i −0.101413 0.0488378i
\(667\) 24.9210 16.9909i 0.964946 0.657889i
\(668\) −5.21251 + 0.785660i −0.201678 + 0.0303981i
\(669\) 22.5722 + 57.5130i 0.872691 + 2.22358i
\(670\) 1.86153 + 24.8403i 0.0719170 + 0.959666i
\(671\) 1.48263 + 0.457331i 0.0572363 + 0.0176551i
\(672\) 21.4299 14.4929i 0.826678 0.559077i
\(673\) −9.99749 25.4732i −0.385375 0.981920i −0.983563 0.180564i \(-0.942208\pi\)
0.598188 0.801356i \(-0.295888\pi\)
\(674\) −13.2930 9.06301i −0.512027 0.349094i
\(675\) 5.08067 22.2599i 0.195555 0.856783i
\(676\) 1.23504 16.4805i 0.0475016 0.633864i
\(677\) 30.3949 4.58130i 1.16817 0.176074i 0.463823 0.885928i \(-0.346477\pi\)
0.704349 + 0.709854i \(0.251239\pi\)
\(678\) −20.3988 + 18.9273i −0.783411 + 0.726900i
\(679\) 10.1560 17.4389i 0.389752 0.669245i
\(680\) 2.41467 10.5794i 0.0925983 0.405700i
\(681\) −7.19058 12.4544i −0.275543 0.477255i
\(682\) 6.30049 10.9128i 0.241258 0.417871i
\(683\) 30.3870 + 28.1950i 1.16273 + 1.07885i 0.995675 + 0.0929033i \(0.0296147\pi\)
0.167050 + 0.985948i \(0.446576\pi\)
\(684\) 4.79877 + 12.2271i 0.183486 + 0.467514i
\(685\) 1.73565 + 23.1606i 0.0663157 + 0.884921i
\(686\) 15.2834 25.7951i 0.583524 0.984863i
\(687\) 25.8624 0.986711
\(688\) 31.4485 + 5.00858i 1.19896 + 0.190950i
\(689\) 35.5949 + 61.6521i 1.35606 + 2.34876i
\(690\) 26.9884 + 18.4004i 1.02743 + 0.700491i
\(691\) 8.16344 + 3.93130i 0.310552 + 0.149554i 0.582667 0.812711i \(-0.302009\pi\)
−0.272116 + 0.962265i \(0.587723\pi\)
\(692\) −5.84959 + 7.33515i −0.222368 + 0.278841i
\(693\) 6.93366 17.4732i 0.263388 0.663751i
\(694\) −19.6991 34.1199i −0.747769 1.29517i
\(695\) 5.38848 + 9.33312i 0.204397 + 0.354026i
\(696\) −32.7163 + 10.0916i −1.24011 + 0.382522i
\(697\) 16.4348 + 20.6086i 0.622514 + 0.780608i
\(698\) 8.22342 + 36.0292i 0.311261 + 1.36372i
\(699\) −18.6354 23.3681i −0.704857 0.883862i
\(700\) 1.28853 5.54914i 0.0487018 0.209738i
\(701\) 17.3238 + 16.0741i 0.654311 + 0.607112i 0.935833 0.352443i \(-0.114649\pi\)
−0.281523 + 0.959555i \(0.590839\pi\)
\(702\) −55.4333 37.7938i −2.09220 1.42644i
\(703\) −0.846606 + 1.06161i −0.0319304 + 0.0400394i
\(704\) −4.15092 + 3.85149i −0.156444 + 0.145158i
\(705\) 4.06668 3.77333i 0.153160 0.142112i
\(706\) 35.0363 23.8873i 1.31861 0.899012i
\(707\) −14.2900 4.46679i −0.537429 0.167991i
\(708\) −5.36395 + 13.6671i −0.201589 + 0.513642i
\(709\) −8.96481 + 6.11210i −0.336680 + 0.229545i −0.719844 0.694136i \(-0.755787\pi\)
0.383164 + 0.923680i \(0.374834\pi\)
\(710\) −1.85258 24.7210i −0.0695262 0.927763i
\(711\) −17.2904 + 2.60611i −0.648442 + 0.0977368i
\(712\) −4.18610 + 5.24921i −0.156881 + 0.196722i
\(713\) −27.0964 + 18.4740i −1.01477 + 0.691857i
\(714\) −43.5416 21.1706i −1.62950 0.792290i
\(715\) −2.32984 10.2077i −0.0871311 0.381746i
\(716\) −0.401761 0.0605557i −0.0150145 0.00226307i
\(717\) 0.149235 0.0718679i 0.00557329 0.00268396i
\(718\) −11.4665 + 50.2381i −0.427926 + 1.87487i
\(719\) 13.8269 6.65868i 0.515656 0.248327i −0.157911 0.987453i \(-0.550476\pi\)
0.673566 + 0.739127i \(0.264762\pi\)
\(720\) −19.8161 24.8486i −0.738501 0.926051i
\(721\) 17.1630 + 8.34491i 0.639182 + 0.310781i
\(722\) −4.78832 + 0.721724i −0.178203 + 0.0268598i
\(723\) −10.5990 9.83448i −0.394183 0.365748i
\(724\) 2.71483 0.100896
\(725\) −9.23633 + 15.9978i −0.343029 + 0.594143i
\(726\) −9.53468 + 41.7742i −0.353865 + 1.55038i
\(727\) −12.6626 + 15.8784i −0.469629 + 0.588896i −0.959080 0.283134i \(-0.908626\pi\)
0.489451 + 0.872031i \(0.337197\pi\)
\(728\) 30.6405 + 21.0595i 1.13561 + 0.780519i
\(729\) 36.4994 17.5772i 1.35183 0.651006i
\(730\) 1.55671 2.69631i 0.0576165 0.0997948i
\(731\) −9.20661 24.0456i −0.340519 0.889358i
\(732\) −1.03185 1.78722i −0.0381383 0.0660574i
\(733\) 1.19214 15.9080i 0.0440327 0.587576i −0.930929 0.365201i \(-0.881000\pi\)
0.974961 0.222375i \(-0.0713808\pi\)
\(734\) −1.11121 14.8280i −0.0410154 0.547312i
\(735\) −22.3915 10.9914i −0.825924 0.405425i
\(736\) −18.3781 + 5.66889i −0.677425 + 0.208958i
\(737\) −16.7048 −0.615328
\(738\) 57.4616 2.11519
\(739\) 12.9663 3.99956i 0.476972 0.147126i −0.0469420 0.998898i \(-0.514948\pi\)
0.523914 + 0.851771i \(0.324471\pi\)
\(740\) −0.0952928 + 0.242802i −0.00350303 + 0.00892558i
\(741\) −53.1445 + 49.3108i −1.95231 + 1.81148i
\(742\) 48.4450 + 0.182194i 1.77847 + 0.00668856i
\(743\) 12.1921 + 8.31245i 0.447286 + 0.304954i 0.765934 0.642919i \(-0.222277\pi\)
−0.318649 + 0.947873i \(0.603229\pi\)
\(744\) 35.5721 10.9725i 1.30414 0.402272i
\(745\) 6.47935 3.12029i 0.237385 0.114319i
\(746\) −12.4253 + 15.5808i −0.454921 + 0.570453i
\(747\) 68.6968 + 21.1902i 2.51348 + 0.775307i
\(748\) −3.13079 0.965720i −0.114473 0.0353102i
\(749\) −16.2980 11.2018i −0.595517 0.409306i
\(750\) −48.3038 7.28063i −1.76381 0.265851i
\(751\) 19.4058 + 24.3341i 0.708127 + 0.887963i 0.997601 0.0692225i \(-0.0220518\pi\)
−0.289474 + 0.957186i \(0.593480\pi\)
\(752\) 0.564991 + 7.53929i 0.0206031 + 0.274930i
\(753\) 3.05691 + 40.7916i 0.111400 + 1.48653i
\(754\) 33.8434 + 42.4383i 1.23250 + 1.54551i
\(755\) −23.8295 3.59172i −0.867245 0.130716i
\(756\) −9.76269 + 4.65632i −0.355066 + 0.169349i
\(757\) −24.7844 7.64498i −0.900804 0.277861i −0.190443 0.981698i \(-0.560992\pi\)
−0.710362 + 0.703837i \(0.751469\pi\)
\(758\) 25.4608 + 7.85361i 0.924777 + 0.285256i
\(759\) −13.6574 + 17.1258i −0.495732 + 0.621629i
\(760\) −9.96253 + 4.79770i −0.361379 + 0.174031i
\(761\) −24.4181 + 7.53200i −0.885157 + 0.273035i −0.703813 0.710385i \(-0.748521\pi\)
−0.181343 + 0.983420i \(0.558045\pi\)
\(762\) 21.2478 + 14.4865i 0.769726 + 0.524791i
\(763\) −16.3898 28.6361i −0.593351 1.03670i
\(764\) 1.75405 1.62752i 0.0634592 0.0588815i
\(765\) −9.38834 + 23.9211i −0.339436 + 0.864869i
\(766\) 12.3473 3.80864i 0.446126 0.137612i
\(767\) −51.7005 −1.86680
\(768\) 39.1918 1.41421
\(769\) −45.5134 + 14.0390i −1.64125 + 0.506260i −0.971643 0.236452i \(-0.924015\pi\)
−0.669611 + 0.742712i \(0.733539\pi\)
\(770\) −6.80060 2.12575i −0.245076 0.0766067i
\(771\) 3.81225 + 50.8709i 0.137295 + 1.83207i
\(772\) −0.950276 + 12.6806i −0.0342012 + 0.456383i
\(773\) 3.80021 + 6.58215i 0.136684 + 0.236743i 0.926239 0.376936i \(-0.123022\pi\)
−0.789556 + 0.613679i \(0.789689\pi\)
\(774\) −53.4950 16.9907i −1.92284 0.610718i
\(775\) 10.0426 17.3942i 0.360740 0.624820i
\(776\) 15.3432 7.38889i 0.550788 0.265246i
\(777\) −2.13015 1.46408i −0.0764189 0.0525236i
\(778\) 25.2952 31.7192i 0.906878 1.13719i
\(779\) 5.97697 26.1868i 0.214147 0.938239i
\(780\) −6.96310 + 12.0605i −0.249319 + 0.431833i
\(781\) 16.6245 0.594872
\(782\) 26.3845 + 24.4813i 0.943509 + 0.875449i
\(783\) 34.6816 5.22742i 1.23942 0.186813i
\(784\) 30.7376 14.5187i 1.09777 0.518524i
\(785\) −5.08247 6.37322i −0.181401 0.227470i
\(786\) −68.2626 + 32.8736i −2.43485 + 1.17256i
\(787\) 6.65725 29.1673i 0.237305 1.03970i −0.706113 0.708099i \(-0.749553\pi\)
0.943419 0.331604i \(-0.107590\pi\)
\(788\) 4.21744 2.03101i 0.150240 0.0723518i
\(789\) −31.7650 4.78780i −1.13086 0.170450i
\(790\) 1.47475 + 6.46132i 0.0524694 + 0.229883i
\(791\) −13.0859 + 8.84993i −0.465282 + 0.314667i
\(792\) 13.1069 8.93615i 0.465734 0.317532i
\(793\) 4.53090 5.68157i 0.160897 0.201758i
\(794\) 14.9539 2.25393i 0.530693 0.0799891i
\(795\) −3.01187 40.1907i −0.106820 1.42542i
\(796\) −11.0255 + 7.51708i −0.390790 + 0.266436i
\(797\) −12.9266 + 32.9363i −0.457882 + 1.16666i 0.496490 + 0.868043i \(0.334622\pi\)
−0.954372 + 0.298622i \(0.903473\pi\)
\(798\) 10.7972 + 48.1394i 0.382216 + 1.70411i
\(799\) 5.05073 3.44353i 0.178682 0.121823i
\(800\) 8.63456 8.01170i 0.305278 0.283257i
\(801\) 11.6552 10.8144i 0.411816 0.382109i
\(802\) 27.1097 33.9944i 0.957275 1.20038i
\(803\) 1.72509 + 1.17614i 0.0608770 + 0.0415052i
\(804\) 16.2874 + 15.1125i 0.574414 + 0.532978i
\(805\) 13.5458 + 12.6638i 0.477428 + 0.446341i
\(806\) −36.7976 46.1427i −1.29614 1.62531i
\(807\) −1.10058 4.82195i −0.0387422 0.169741i
\(808\) −7.87722 9.87773i −0.277120 0.347497i
\(809\) −23.9039 + 7.37338i −0.840417 + 0.259234i −0.684935 0.728604i \(-0.740169\pi\)
−0.155482 + 0.987839i \(0.549693\pi\)
\(810\) 3.09868 + 5.36708i 0.108877 + 0.188580i
\(811\) −13.9288 24.1254i −0.489107 0.847159i 0.510814 0.859691i \(-0.329344\pi\)
−0.999921 + 0.0125325i \(0.996011\pi\)
\(812\) 8.65807 1.27171i 0.303839 0.0446283i
\(813\) 50.5813 63.4269i 1.77396 2.22448i
\(814\) −0.665215 0.320350i −0.0233158 0.0112283i
\(815\) −16.9977 11.5888i −0.595403 0.405939i
\(816\) −27.4463 47.5384i −0.960814 1.66418i
\(817\) −13.3075 + 22.6118i −0.465570 + 0.791086i
\(818\) 43.7443 1.52948
\(819\) −64.3169 60.1291i −2.24741 2.10108i
\(820\) −0.385580 5.14521i −0.0134651 0.179679i
\(821\) −4.67082 11.9010i −0.163013 0.415349i 0.825906 0.563808i \(-0.190664\pi\)
−0.988919 + 0.148458i \(0.952569\pi\)
\(822\) 64.1015 + 59.4775i 2.23580 + 2.07452i
\(823\) −22.1805 + 38.4177i −0.773162 + 1.33916i 0.162659 + 0.986682i \(0.447993\pi\)
−0.935822 + 0.352474i \(0.885341\pi\)
\(824\) 8.05216 + 13.9467i 0.280510 + 0.485858i
\(825\) 2.98524 13.0792i 0.103933 0.455359i
\(826\) −17.7058 + 30.4028i −0.616064 + 1.05785i
\(827\) −14.7477 + 13.6838i −0.512826 + 0.475833i −0.893618 0.448827i \(-0.851842\pi\)
0.380792 + 0.924661i \(0.375651\pi\)
\(828\) 18.3804 2.77040i 0.638763 0.0962781i
\(829\) 2.42488 32.3577i 0.0842195 1.12383i −0.781702 0.623652i \(-0.785648\pi\)
0.865922 0.500179i \(-0.166733\pi\)
\(830\) 6.06329 26.5650i 0.210460 0.922085i
\(831\) 34.3349 + 23.4092i 1.19107 + 0.812055i
\(832\) 9.68933 + 24.6880i 0.335917 + 0.855903i
\(833\) −22.5925 15.6536i −0.782785 0.542363i
\(834\) 38.7729 + 11.9598i 1.34259 + 0.414136i
\(835\) 0.785332 + 10.4795i 0.0271775 + 0.362659i
\(836\) 1.21972 + 3.10781i 0.0421851 + 0.107486i
\(837\) −37.7090 + 5.68372i −1.30341 + 0.196458i
\(838\) 45.7604 31.1989i 1.58077 1.07775i
\(839\) 50.4335 + 24.2875i 1.74116 + 0.838497i 0.982319 + 0.187217i \(0.0599467\pi\)
0.758838 + 0.651280i \(0.225768\pi\)
\(840\) −10.4559 18.2684i −0.360762 0.630321i
\(841\) 0.616675 + 0.0929489i 0.0212647 + 0.00320513i
\(842\) −0.324274 4.32713i −0.0111752 0.149123i
\(843\) −6.20009 27.1644i −0.213542 0.935591i
\(844\) −6.24200 + 5.79173i −0.214859 + 0.199360i
\(845\) −32.5792 4.91052i −1.12076 0.168927i
\(846\) 0.995831 13.2884i 0.0342374 0.456866i
\(847\) −8.97207 + 22.6101i −0.308284 + 0.776891i
\(848\) 45.3824 + 30.9412i 1.55844 + 1.06253i
\(849\) 37.0742 5.58804i 1.27238 0.191781i
\(850\) −21.0643 6.49749i −0.722501 0.222862i
\(851\) 1.19807 + 1.50233i 0.0410694 + 0.0514994i
\(852\) −16.2092 15.0399i −0.555318 0.515260i
\(853\) 5.31841 9.21175i 0.182099 0.315404i −0.760496 0.649342i \(-0.775044\pi\)
0.942595 + 0.333938i \(0.108378\pi\)
\(854\) −1.78938 4.61018i −0.0612315 0.157757i
\(855\) 25.0223 7.71836i 0.855745 0.263962i
\(856\) −6.09700 15.5349i −0.208391 0.530972i
\(857\) −26.6849 + 18.1935i −0.911539 + 0.621477i −0.925632 0.378424i \(-0.876466\pi\)
0.0140934 + 0.999901i \(0.495514\pi\)
\(858\) −32.5708 22.2064i −1.11195 0.758114i
\(859\) 4.34457 7.52502i 0.148235 0.256750i −0.782340 0.622851i \(-0.785974\pi\)
0.930575 + 0.366101i \(0.119307\pi\)
\(860\) −1.16241 + 4.90404i −0.0396380 + 0.167227i
\(861\) 50.5306 + 7.81072i 1.72208 + 0.266189i
\(862\) 10.9148 5.25629i 0.371760 0.179030i
\(863\) 29.1976 + 14.0608i 0.993896 + 0.478635i 0.858863 0.512206i \(-0.171171\pi\)
0.135034 + 0.990841i \(0.456886\pi\)
\(864\) −22.1144 3.33321i −0.752348 0.113398i
\(865\) 13.7108 + 12.7218i 0.466181 + 0.432553i
\(866\) −20.0834 −0.682461
\(867\) 2.27782 3.94530i 0.0773588 0.133989i
\(868\) −9.41384 + 1.38272i −0.319527 + 0.0469326i
\(869\) −4.39478 + 0.662407i −0.149083 + 0.0224706i
\(870\) −6.83816 29.9599i −0.231835 1.01574i
\(871\) −28.5841 + 72.8311i −0.968536 + 2.46779i
\(872\) 2.08070 27.7651i 0.0704615 0.940243i
\(873\) −38.5366 + 11.8870i −1.30427 + 0.402313i
\(874\) 2.74084 36.5740i 0.0927103 1.23713i
\(875\) −26.4689 8.27372i −0.894813 0.279703i
\(876\) −0.617951 2.70742i −0.0208786 0.0914752i
\(877\) −15.0200 + 13.9365i −0.507189 + 0.470603i −0.891770 0.452488i \(-0.850536\pi\)
0.384581 + 0.923091i \(0.374346\pi\)
\(878\) 40.2788 + 19.3973i 1.35934 + 0.654626i
\(879\) 19.8517 + 50.5814i 0.669582 + 1.70607i
\(880\) −5.03674 6.31587i −0.169788 0.212908i
\(881\) 18.7936 + 9.05052i 0.633173 + 0.304920i 0.722802 0.691055i \(-0.242854\pi\)
−0.0896293 + 0.995975i \(0.528568\pi\)
\(882\) −57.3858 + 17.2296i −1.93228 + 0.580149i
\(883\) 2.70727 6.89802i 0.0911070 0.232137i −0.878056 0.478558i \(-0.841160\pi\)
0.969163 + 0.246422i \(0.0792548\pi\)
\(884\) −9.56765 + 11.9974i −0.321795 + 0.403518i
\(885\) 26.3711 + 12.6996i 0.886454 + 0.426894i
\(886\) −6.19984 27.1633i −0.208288 0.912568i
\(887\) −4.32663 1.33459i −0.145274 0.0448111i 0.221265 0.975214i \(-0.428981\pi\)
−0.366539 + 0.930403i \(0.619457\pi\)
\(888\) −0.796877 2.03041i −0.0267415 0.0681361i
\(889\) 10.6645 + 9.97014i 0.357677 + 0.334388i
\(890\) −4.41757 4.09891i −0.148077 0.137396i
\(891\) −3.74442 + 1.80322i −0.125443 + 0.0604100i
\(892\) 4.86855 12.4049i 0.163011 0.415346i
\(893\) −5.95231 1.83605i −0.199187 0.0614409i
\(894\) 9.89208 25.2046i 0.330841 0.842968i
\(895\) −0.180239 + 0.789679i −0.00602473 + 0.0263961i
\(896\) 35.5988 + 5.50266i 1.18927 + 0.183831i
\(897\) 51.2973 + 88.8496i 1.71277 + 2.96660i
\(898\) −1.77297 + 7.76788i −0.0591647 + 0.259217i
\(899\) 30.5087 + 4.59845i 1.01752 + 0.153367i
\(900\) −9.40606 + 6.41294i −0.313535 + 0.213765i
\(901\) 3.31879 44.2862i 0.110565 1.47539i
\(902\) 14.6053 0.486303
\(903\) −44.7328 22.2128i −1.48862 0.739196i
\(904\) −13.3309 −0.443379
\(905\) 0.404456 5.39709i 0.0134446 0.179405i
\(906\) −74.9664 + 51.1112i −2.49059 + 1.69806i
\(907\) 36.5121 + 5.50332i 1.21237 + 0.182735i 0.723935 0.689868i \(-0.242331\pi\)
0.488431 + 0.872603i \(0.337570\pi\)
\(908\) −0.690225 + 3.02407i −0.0229059 + 0.100357i
\(909\) 14.9595 + 25.9106i 0.496176 + 0.859402i
\(910\) −20.9048 + 26.0125i −0.692987 + 0.862306i
\(911\) −0.939273 + 4.11523i −0.0311195 + 0.136344i −0.988101 0.153805i \(-0.950847\pi\)
0.956982 + 0.290148i \(0.0937045\pi\)
\(912\) −20.4355 + 52.0689i −0.676689 + 1.72417i
\(913\) 17.4610 + 5.38600i 0.577874 + 0.178250i
\(914\) −6.66078 + 16.9714i −0.220319 + 0.561363i
\(915\) −3.70671 + 1.78506i −0.122540 + 0.0590122i
\(916\) −4.08911 3.79414i −0.135108 0.125362i
\(917\) −41.1488 + 12.5235i −1.35885 + 0.413561i
\(918\) 15.2908 + 38.9604i 0.504672 + 1.28588i
\(919\) −31.0013 9.56264i −1.02264 0.315442i −0.262312 0.964983i \(-0.584485\pi\)
−0.760327 + 0.649541i \(0.774961\pi\)
\(920\) 3.48203 + 15.2558i 0.114799 + 0.502968i
\(921\) 81.4901 + 39.2435i 2.68519 + 1.29312i
\(922\) 3.11705 3.90866i 0.102655 0.128725i
\(923\) 28.4468 72.4813i 0.936338 2.38575i
\(924\) −5.73624 + 2.73590i −0.188709 + 0.0900045i
\(925\) −1.06031 0.510618i −0.0348627 0.0167890i
\(926\) −24.8809 31.1997i −0.817638 1.02529i
\(927\) −13.9330 35.5007i −0.457620 1.16600i
\(928\) 16.3021 + 7.85066i 0.535142 + 0.257711i
\(929\) −18.5973 + 17.2558i −0.610158 + 0.566144i −0.923549 0.383480i \(-0.874725\pi\)
0.313391 + 0.949624i \(0.398535\pi\)
\(930\) 7.43507 + 32.5752i 0.243805 + 1.06818i
\(931\) 1.88289 + 27.9444i 0.0617092 + 0.915841i
\(932\) −0.481761 + 6.42865i −0.0157806 + 0.210578i
\(933\) 51.8895 16.0058i 1.69879 0.524006i
\(934\) −0.118237 + 1.57776i −0.00386882 + 0.0516258i
\(935\) −2.38628 + 6.08013i −0.0780396 + 0.198842i
\(936\) −16.5330 72.4359i −0.540398 2.36764i
\(937\) −1.32116 + 0.199133i −0.0431605 + 0.00650540i −0.170587 0.985343i \(-0.554566\pi\)
0.127427 + 0.991848i \(0.459328\pi\)
\(938\) 33.0396 + 41.7515i 1.07878 + 1.36323i
\(939\) 10.4202 18.0482i 0.340049 0.588982i
\(940\) −1.19655 −0.0390272
\(941\) −10.2117 9.47512i −0.332893 0.308880i 0.495960 0.868345i \(-0.334816\pi\)
−0.828854 + 0.559465i \(0.811007\pi\)
\(942\) −30.3484 4.57428i −0.988803 0.149038i
\(943\) −34.2469 16.4924i −1.11523 0.537068i
\(944\) −35.9392 + 17.3074i −1.16972 + 0.563309i
\(945\) 7.80231 + 20.1019i 0.253809 + 0.653916i
\(946\) −13.5971 4.31860i −0.442078 0.140410i
\(947\) 23.8846 41.3693i 0.776145 1.34432i −0.158003 0.987439i \(-0.550506\pi\)
0.934149 0.356884i \(-0.116161\pi\)
\(948\) 4.88426 + 3.33003i 0.158633 + 0.108154i
\(949\) 8.07973 5.50867i 0.262279 0.178819i
\(950\) 8.20646 + 20.9097i 0.266253 + 0.678401i
\(951\) −62.1634 + 19.1749i −2.01579 + 0.621788i
\(952\) −8.39244 21.6223i −0.272000 0.700784i
\(953\) −15.1135 + 26.1774i −0.489575 + 0.847968i −0.999928 0.0119967i \(-0.996181\pi\)
0.510353 + 0.859965i \(0.329515\pi\)
\(954\) −70.9676 65.8483i −2.29766 2.13192i
\(955\) −2.97419 3.72951i −0.0962424 0.120684i
\(956\) −0.0341390 0.0105305i −0.00110414 0.000340581i
\(957\) 20.3778 3.07146i 0.658721 0.0992862i
\(958\) −11.8367 8.07013i −0.382427 0.260734i
\(959\) 30.8054 + 38.9282i 0.994759 + 1.25706i
\(960\) 1.12206 14.9728i 0.0362142 0.483245i
\(961\) −2.51810 0.379543i −0.0812292 0.0122433i
\(962\) −2.53497 + 2.35211i −0.0817307 + 0.0758350i
\(963\) 8.79411 + 38.5295i 0.283386 + 1.24160i
\(964\) 0.233052 + 3.10987i 0.00750611 + 0.100162i
\(965\) 25.0674 + 3.77830i 0.806947 + 0.121628i
\(966\) 69.8163 + 0.262568i 2.24630 + 0.00844799i
\(967\) 46.3134 + 22.3033i 1.48934 + 0.717227i 0.988905 0.148549i \(-0.0474602\pi\)
0.500432 + 0.865776i \(0.333175\pi\)
\(968\) −16.9602 + 11.5633i −0.545121 + 0.371657i
\(969\) 44.7210 6.74061i 1.43665 0.216540i
\(970\) 5.58435 + 14.2287i 0.179303 + 0.456856i
\(971\) 0.722066 + 9.63530i 0.0231722 + 0.309211i 0.996732 + 0.0807792i \(0.0257409\pi\)
−0.973560 + 0.228432i \(0.926640\pi\)
\(972\) −6.43740 1.98567i −0.206480 0.0636906i
\(973\) 20.7159 + 10.0724i 0.664121 + 0.322906i
\(974\) 14.5860 + 37.1646i 0.467366 + 1.19083i
\(975\) −51.9158 35.3956i −1.66264 1.13357i
\(976\) 1.24764 5.46628i 0.0399361 0.174971i
\(977\) 3.80067 50.7164i 0.121594 1.62256i −0.519065 0.854735i \(-0.673720\pi\)
0.640659 0.767825i \(-0.278661\pi\)
\(978\) −76.5903 + 11.5441i −2.44909 + 0.369141i
\(979\) 2.96245 2.74875i 0.0946803 0.0878505i
\(980\) 1.92784 + 5.02281i 0.0615825 + 0.160448i
\(981\) −14.6720 + 64.2822i −0.468441 + 2.05237i
\(982\) −28.3512 49.1057i −0.904723 1.56703i
\(983\) 16.0538 27.8060i 0.512036 0.886873i −0.487866 0.872918i \(-0.662225\pi\)
0.999903 0.0139545i \(-0.00444200\pi\)
\(984\) 31.6290 + 29.3474i 1.00830 + 0.935562i
\(985\) −3.40934 8.68684i −0.108630 0.276786i
\(986\) −2.53050 33.7672i −0.0805876 1.07537i
\(987\) 2.68200 11.5502i 0.0853691 0.367647i
\(988\) 15.6368 0.497474
\(989\) 27.0062 + 25.4803i 0.858746 + 0.810227i
\(990\) 7.11924 + 12.3309i 0.226264 + 0.391901i
\(991\) −34.7032 23.6602i −1.10238 0.751592i −0.131541 0.991311i \(-0.541993\pi\)
−0.970842 + 0.239718i \(0.922945\pi\)
\(992\) −17.7251 8.53595i −0.562772 0.271017i
\(993\) −25.6911 + 32.2156i −0.815283 + 1.02233i
\(994\) −32.8809 41.5509i −1.04292 1.31792i
\(995\) 13.3014 + 23.0386i 0.421682 + 0.730374i
\(996\) −12.1521 21.0481i −0.385055 0.666934i
\(997\) 32.5774 10.0488i 1.03174 0.318249i 0.267755 0.963487i \(-0.413718\pi\)
0.763981 + 0.645238i \(0.223242\pi\)
\(998\) −4.53123 5.68198i −0.143434 0.179860i
\(999\) 0.497212 + 2.17843i 0.0157311 + 0.0689224i
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 301.2.ba.a.100.7 yes 324
7.4 even 3 301.2.z.a.186.7 324
43.40 even 21 301.2.z.a.212.7 yes 324
301.298 even 21 inner 301.2.ba.a.298.7 yes 324
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
301.2.z.a.186.7 324 7.4 even 3
301.2.z.a.212.7 yes 324 43.40 even 21
301.2.ba.a.100.7 yes 324 1.1 even 1 trivial
301.2.ba.a.298.7 yes 324 301.298 even 21 inner