Properties

Label 189.2.u.a.4.17
Level $189$
Weight $2$
Character 189.4
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(4,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([2, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.u (of order \(9\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.17
Character \(\chi\) \(=\) 189.4
Dual form 189.2.u.a.142.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.246187 + 1.39619i) q^{2} +(-1.04527 + 1.38109i) q^{3} +(-0.00936568 + 0.00340883i) q^{4} +(3.04103 - 1.10685i) q^{5} +(-2.18560 - 1.11939i) q^{6} +(1.78778 + 1.95034i) q^{7} +(1.41067 + 2.44335i) q^{8} +(-0.814825 - 2.88722i) q^{9} +O(q^{10})\) \(q+(0.246187 + 1.39619i) q^{2} +(-1.04527 + 1.38109i) q^{3} +(-0.00936568 + 0.00340883i) q^{4} +(3.04103 - 1.10685i) q^{5} +(-2.18560 - 1.11939i) q^{6} +(1.78778 + 1.95034i) q^{7} +(1.41067 + 2.44335i) q^{8} +(-0.814825 - 2.88722i) q^{9} +(2.29403 + 3.97338i) q^{10} +(-5.43045 - 1.97652i) q^{11} +(0.00508176 - 0.0164980i) q^{12} +(0.00633019 - 0.00230400i) q^{13} +(-2.28293 + 2.97624i) q^{14} +(-1.65004 + 5.35690i) q^{15} +(-3.07937 + 2.58390i) q^{16} +(-2.21375 - 3.83432i) q^{17} +(3.83053 - 1.84845i) q^{18} +(0.999072 - 1.73044i) q^{19} +(-0.0247083 + 0.0207327i) q^{20} +(-4.56231 + 0.430461i) q^{21} +(1.42270 - 8.06856i) q^{22} +(-0.981664 + 5.56729i) q^{23} +(-4.84901 - 0.605696i) q^{24} +(4.19256 - 3.51797i) q^{25} +(0.00477525 + 0.00827097i) q^{26} +(4.83923 + 1.89258i) q^{27} +(-0.0233922 - 0.0121720i) q^{28} +(-7.63544 - 2.77907i) q^{29} +(-7.88549 - 0.984985i) q^{30} +(5.59460 - 2.03627i) q^{31} +(-0.0431895 - 0.0362403i) q^{32} +(8.40604 - 5.43395i) q^{33} +(4.80846 - 4.03478i) q^{34} +(7.59544 + 3.95225i) q^{35} +(0.0174734 + 0.0242632i) q^{36} +0.125602 q^{37} +(2.66199 + 0.968887i) q^{38} +(-0.00343472 + 0.0111509i) q^{39} +(6.99430 + 5.86891i) q^{40} +(7.54818 - 2.74731i) q^{41} +(-1.72419 - 6.26390i) q^{42} +(-0.536306 - 3.04154i) q^{43} +0.0575975 q^{44} +(-5.67362 - 7.87826i) q^{45} -8.01469 q^{46} +(-4.87676 - 1.77500i) q^{47} +(-0.349829 - 6.95376i) q^{48} +(-0.607659 + 6.97358i) q^{49} +(5.94393 + 4.98755i) q^{50} +(7.60950 + 0.950512i) q^{51} +(-5.14326e-5 + 4.31571e-5i) q^{52} +(1.70019 - 2.94481i) q^{53} +(-1.45105 + 7.22243i) q^{54} -18.7019 q^{55} +(-2.24339 + 7.11946i) q^{56} +(1.34560 + 3.18859i) q^{57} +(2.00038 - 11.3447i) q^{58} +(-4.10949 - 3.44827i) q^{59} +(-0.00280696 - 0.0557957i) q^{60} +(2.98856 + 1.08775i) q^{61} +(4.22034 + 7.30985i) q^{62} +(4.17434 - 6.75092i) q^{63} +(-3.97987 + 6.89333i) q^{64} +(0.0167002 - 0.0140131i) q^{65} +(9.65631 + 10.3987i) q^{66} +(0.603468 - 3.42244i) q^{67} +(0.0338038 + 0.0283647i) q^{68} +(-6.66283 - 7.17509i) q^{69} +(-3.64822 + 11.5777i) q^{70} +(-3.49843 + 6.05945i) q^{71} +(5.90505 - 6.06382i) q^{72} -0.991568 q^{73} +(0.0309215 + 0.175365i) q^{74} +(0.476291 + 9.46753i) q^{75} +(-0.00345821 + 0.0196125i) q^{76} +(-5.85358 - 14.1248i) q^{77} +(-0.0164144 - 0.00205034i) q^{78} +(-0.354954 - 2.01305i) q^{79} +(-6.50449 + 11.2661i) q^{80} +(-7.67212 + 4.70516i) q^{81} +(5.69404 + 9.86237i) q^{82} +(4.23105 + 1.53998i) q^{83} +(0.0412618 - 0.0195837i) q^{84} +(-10.9761 - 9.21002i) q^{85} +(4.11455 - 1.49757i) q^{86} +(11.8192 - 7.64036i) q^{87} +(-2.83123 - 16.0567i) q^{88} +(5.63968 - 9.76821i) q^{89} +(9.60281 - 9.86100i) q^{90} +(0.0158106 + 0.00822698i) q^{91} +(-0.00978400 - 0.0554878i) q^{92} +(-3.03559 + 9.85510i) q^{93} +(1.27765 - 7.24589i) q^{94} +(1.12288 - 6.36816i) q^{95} +(0.0951959 - 0.0217678i) q^{96} +(1.10493 + 6.26639i) q^{97} +(-9.88606 + 0.868391i) q^{98} +(-1.28180 + 17.2895i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9} + 3 q^{10} - 15 q^{11} - 3 q^{12} - 12 q^{13} - 30 q^{14} + 9 q^{16} + 27 q^{17} - 3 q^{18} + 3 q^{19} - 18 q^{20} + 15 q^{21} - 12 q^{22} - 36 q^{23} - 72 q^{24} - 3 q^{25} + 30 q^{26} - 12 q^{27} - 12 q^{28} - 30 q^{29} - 3 q^{30} - 3 q^{31} - 75 q^{32} + 15 q^{33} - 18 q^{34} + 15 q^{35} - 60 q^{36} - 6 q^{37} + 69 q^{38} + 51 q^{39} + 51 q^{40} - 39 q^{42} - 12 q^{43} - 6 q^{44} - 21 q^{45} - 6 q^{46} - 21 q^{47} + 90 q^{48} - 42 q^{49} - 39 q^{50} + 33 q^{51} + 9 q^{52} + 9 q^{53} - 9 q^{54} - 24 q^{55} + 111 q^{56} - 18 q^{57} - 3 q^{58} + 27 q^{59} - 63 q^{60} - 21 q^{61} + 75 q^{62} + 63 q^{63} - 30 q^{64} - 90 q^{65} - 3 q^{66} - 3 q^{67} - 30 q^{68} - 6 q^{69} + 39 q^{70} - 18 q^{71} + 183 q^{72} - 42 q^{73} + 51 q^{74} - 45 q^{75} - 24 q^{76} + 15 q^{77} - 30 q^{78} + 15 q^{79} + 102 q^{80} - 87 q^{81} - 6 q^{82} - 42 q^{83} + 135 q^{84} - 63 q^{85} - 93 q^{86} + 75 q^{87} - 51 q^{88} + 75 q^{89} - 39 q^{90} - 21 q^{91} - 66 q^{92} + 81 q^{93} + 33 q^{94} + 15 q^{95} - 171 q^{96} - 12 q^{97} - 36 q^{98} + 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.246187 + 1.39619i 0.174080 + 0.987259i 0.939200 + 0.343370i \(0.111569\pi\)
−0.765120 + 0.643888i \(0.777320\pi\)
\(3\) −1.04527 + 1.38109i −0.603486 + 0.797373i
\(4\) −0.00936568 + 0.00340883i −0.00468284 + 0.00170442i
\(5\) 3.04103 1.10685i 1.35999 0.494996i 0.443940 0.896057i \(-0.353580\pi\)
0.916052 + 0.401060i \(0.131358\pi\)
\(6\) −2.18560 1.11939i −0.892269 0.456990i
\(7\) 1.78778 + 1.95034i 0.675719 + 0.737160i
\(8\) 1.41067 + 2.44335i 0.498746 + 0.863854i
\(9\) −0.814825 2.88722i −0.271608 0.962408i
\(10\) 2.29403 + 3.97338i 0.725437 + 1.25649i
\(11\) −5.43045 1.97652i −1.63734 0.595944i −0.650771 0.759274i \(-0.725554\pi\)
−0.986572 + 0.163330i \(0.947777\pi\)
\(12\) 0.00508176 0.0164980i 0.00146698 0.00476256i
\(13\) 0.00633019 0.00230400i 0.00175568 0.000639015i −0.341142 0.940012i \(-0.610814\pi\)
0.342898 + 0.939373i \(0.388592\pi\)
\(14\) −2.28293 + 2.97624i −0.610138 + 0.795434i
\(15\) −1.65004 + 5.35690i −0.426039 + 1.38314i
\(16\) −3.07937 + 2.58390i −0.769843 + 0.645975i
\(17\) −2.21375 3.83432i −0.536912 0.929959i −0.999068 0.0431605i \(-0.986257\pi\)
0.462156 0.886799i \(-0.347076\pi\)
\(18\) 3.83053 1.84845i 0.902864 0.435684i
\(19\) 0.999072 1.73044i 0.229203 0.396991i −0.728369 0.685185i \(-0.759721\pi\)
0.957572 + 0.288194i \(0.0930547\pi\)
\(20\) −0.0247083 + 0.0207327i −0.00552495 + 0.00463598i
\(21\) −4.56231 + 0.430461i −0.995578 + 0.0939343i
\(22\) 1.42270 8.06856i 0.303322 1.72022i
\(23\) −0.981664 + 5.56729i −0.204691 + 1.16086i 0.693234 + 0.720712i \(0.256185\pi\)
−0.897925 + 0.440148i \(0.854926\pi\)
\(24\) −4.84901 0.605696i −0.989801 0.123637i
\(25\) 4.19256 3.51797i 0.838511 0.703595i
\(26\) 0.00477525 + 0.00827097i 0.000936503 + 0.00162207i
\(27\) 4.83923 + 1.89258i 0.931310 + 0.364227i
\(28\) −0.0233922 0.0121720i −0.00442071 0.00230030i
\(29\) −7.63544 2.77907i −1.41787 0.516061i −0.484438 0.874826i \(-0.660976\pi\)
−0.933428 + 0.358765i \(0.883198\pi\)
\(30\) −7.88549 0.984985i −1.43969 0.179833i
\(31\) 5.59460 2.03627i 1.00482 0.365725i 0.213379 0.976970i \(-0.431553\pi\)
0.791441 + 0.611245i \(0.209331\pi\)
\(32\) −0.0431895 0.0362403i −0.00763490 0.00640645i
\(33\) 8.40604 5.43395i 1.46330 0.945929i
\(34\) 4.80846 4.03478i 0.824644 0.691959i
\(35\) 7.59544 + 3.95225i 1.28386 + 0.668053i
\(36\) 0.0174734 + 0.0242632i 0.00291224 + 0.00404387i
\(37\) 0.125602 0.0206488 0.0103244 0.999947i \(-0.496714\pi\)
0.0103244 + 0.999947i \(0.496714\pi\)
\(38\) 2.66199 + 0.968887i 0.431832 + 0.157174i
\(39\) −0.00343472 + 0.0111509i −0.000549995 + 0.00178557i
\(40\) 6.99430 + 5.86891i 1.10590 + 0.927957i
\(41\) 7.54818 2.74731i 1.17883 0.429058i 0.323040 0.946385i \(-0.395295\pi\)
0.855788 + 0.517327i \(0.173073\pi\)
\(42\) −1.72419 6.26390i −0.266048 0.966541i
\(43\) −0.536306 3.04154i −0.0817858 0.463831i −0.998004 0.0631508i \(-0.979885\pi\)
0.916218 0.400680i \(-0.131226\pi\)
\(44\) 0.0575975 0.00868315
\(45\) −5.67362 7.87826i −0.845774 1.17442i
\(46\) −8.01469 −1.18170
\(47\) −4.87676 1.77500i −0.711349 0.258910i −0.0391004 0.999235i \(-0.512449\pi\)
−0.672249 + 0.740325i \(0.734671\pi\)
\(48\) −0.349829 6.95376i −0.0504934 1.00369i
\(49\) −0.607659 + 6.97358i −0.0868085 + 0.996225i
\(50\) 5.94393 + 4.98755i 0.840598 + 0.705346i
\(51\) 7.60950 + 0.950512i 1.06554 + 0.133098i
\(52\) −5.14326e−5 0 4.31571e-5i −7.13243e−6 0 5.98482e-6i
\(53\) 1.70019 2.94481i 0.233539 0.404501i −0.725308 0.688424i \(-0.758303\pi\)
0.958847 + 0.283923i \(0.0916361\pi\)
\(54\) −1.45105 + 7.22243i −0.197463 + 0.982849i
\(55\) −18.7019 −2.52176
\(56\) −2.24339 + 7.11946i −0.299786 + 0.951378i
\(57\) 1.34560 + 3.18859i 0.178229 + 0.422339i
\(58\) 2.00038 11.3447i 0.262663 1.48964i
\(59\) −4.10949 3.44827i −0.535011 0.448927i 0.334817 0.942283i \(-0.391326\pi\)
−0.869827 + 0.493356i \(0.835770\pi\)
\(60\) −0.00280696 0.0557957i −0.000362377 0.00720320i
\(61\) 2.98856 + 1.08775i 0.382646 + 0.139272i 0.526179 0.850374i \(-0.323624\pi\)
−0.143533 + 0.989646i \(0.545846\pi\)
\(62\) 4.22034 + 7.30985i 0.535984 + 0.928352i
\(63\) 4.17434 6.75092i 0.525917 0.850536i
\(64\) −3.97987 + 6.89333i −0.497484 + 0.861667i
\(65\) 0.0167002 0.0140131i 0.00207140 0.00173811i
\(66\) 9.65631 + 10.3987i 1.18861 + 1.27999i
\(67\) 0.603468 3.42244i 0.0737254 0.418117i −0.925499 0.378749i \(-0.876354\pi\)
0.999225 0.0393683i \(-0.0125346\pi\)
\(68\) 0.0338038 + 0.0283647i 0.00409931 + 0.00343973i
\(69\) −6.66283 7.17509i −0.802111 0.863779i
\(70\) −3.64822 + 11.5777i −0.436045 + 1.38380i
\(71\) −3.49843 + 6.05945i −0.415187 + 0.719125i −0.995448 0.0953058i \(-0.969617\pi\)
0.580261 + 0.814430i \(0.302950\pi\)
\(72\) 5.90505 6.06382i 0.695916 0.714627i
\(73\) −0.991568 −0.116054 −0.0580271 0.998315i \(-0.518481\pi\)
−0.0580271 + 0.998315i \(0.518481\pi\)
\(74\) 0.0309215 + 0.175365i 0.00359455 + 0.0203857i
\(75\) 0.476291 + 9.46753i 0.0549973 + 1.09322i
\(76\) −0.00345821 + 0.0196125i −0.000396683 + 0.00224970i
\(77\) −5.85358 14.1248i −0.667077 1.60967i
\(78\) −0.0164144 0.00205034i −0.00185856 0.000232155i
\(79\) −0.354954 2.01305i −0.0399355 0.226485i 0.958307 0.285739i \(-0.0922390\pi\)
−0.998243 + 0.0592537i \(0.981128\pi\)
\(80\) −6.50449 + 11.2661i −0.727225 + 1.25959i
\(81\) −7.67212 + 4.70516i −0.852458 + 0.522796i
\(82\) 5.69404 + 9.86237i 0.628802 + 1.08912i
\(83\) 4.23105 + 1.53998i 0.464418 + 0.169034i 0.563622 0.826033i \(-0.309407\pi\)
−0.0992039 + 0.995067i \(0.531630\pi\)
\(84\) 0.0412618 0.0195837i 0.00450203 0.00213676i
\(85\) −10.9761 9.21002i −1.19052 0.998967i
\(86\) 4.11455 1.49757i 0.443683 0.161488i
\(87\) 11.8192 7.64036i 1.26716 0.819132i
\(88\) −2.83123 16.0567i −0.301810 1.71165i
\(89\) 5.63968 9.76821i 0.597805 1.03543i −0.395339 0.918535i \(-0.629373\pi\)
0.993144 0.116894i \(-0.0372936\pi\)
\(90\) 9.60281 9.86100i 1.01223 1.03944i
\(91\) 0.0158106 + 0.00822698i 0.00165740 + 0.000862422i
\(92\) −0.00978400 0.0554878i −0.00102005 0.00578501i
\(93\) −3.03559 + 9.85510i −0.314776 + 1.02193i
\(94\) 1.27765 7.24589i 0.131779 0.747357i
\(95\) 1.12288 6.36816i 0.115205 0.653359i
\(96\) 0.0951959 0.0217678i 0.00971589 0.00222167i
\(97\) 1.10493 + 6.26639i 0.112189 + 0.636256i 0.988104 + 0.153790i \(0.0491478\pi\)
−0.875915 + 0.482466i \(0.839741\pi\)
\(98\) −9.88606 + 0.868391i −0.998643 + 0.0877207i
\(99\) −1.28180 + 17.2895i −0.128825 + 1.73766i
\(100\) −0.0272740 + 0.0472399i −0.00272740 + 0.00472399i
\(101\) 2.69141 + 15.2637i 0.267805 + 1.51880i 0.760927 + 0.648837i \(0.224745\pi\)
−0.493122 + 0.869960i \(0.664144\pi\)
\(102\) 0.546260 + 10.8584i 0.0540878 + 1.07514i
\(103\) −12.1372 + 4.41757i −1.19591 + 0.435276i −0.861796 0.507255i \(-0.830660\pi\)
−0.334116 + 0.942532i \(0.608438\pi\)
\(104\) 0.0145593 + 0.0122167i 0.00142766 + 0.00119794i
\(105\) −13.3977 + 6.35882i −1.30748 + 0.620558i
\(106\) 4.53010 + 1.64882i 0.440002 + 0.160148i
\(107\) 4.13929 + 7.16946i 0.400160 + 0.693098i 0.993745 0.111673i \(-0.0356210\pi\)
−0.593584 + 0.804772i \(0.702288\pi\)
\(108\) −0.0517742 0.00122917i −0.00498197 0.000118277i
\(109\) −1.80341 + 3.12360i −0.172735 + 0.299186i −0.939375 0.342891i \(-0.888594\pi\)
0.766640 + 0.642077i \(0.221927\pi\)
\(110\) −4.60416 26.1115i −0.438989 2.48963i
\(111\) −0.131288 + 0.173467i −0.0124613 + 0.0164648i
\(112\) −10.5447 1.38637i −0.996384 0.131000i
\(113\) 1.68033 9.52963i 0.158072 0.896472i −0.797851 0.602855i \(-0.794030\pi\)
0.955923 0.293617i \(-0.0948591\pi\)
\(114\) −4.12062 + 2.66371i −0.385931 + 0.249479i
\(115\) 3.17686 + 18.0169i 0.296244 + 1.68008i
\(116\) 0.0809845 0.00751922
\(117\) −0.0118102 0.0163993i −0.00109185 0.00151612i
\(118\) 3.80276 6.58657i 0.350072 0.606343i
\(119\) 3.52053 11.1725i 0.322727 1.02418i
\(120\) −15.4164 + 3.52517i −1.40732 + 0.321802i
\(121\) 17.1567 + 14.3962i 1.55970 + 1.30874i
\(122\) −0.782963 + 4.44040i −0.0708861 + 0.402015i
\(123\) −4.09559 + 13.2964i −0.369287 + 1.19890i
\(124\) −0.0454560 + 0.0381421i −0.00408207 + 0.00342526i
\(125\) 0.765353 1.32563i 0.0684552 0.118568i
\(126\) 10.4533 + 4.16620i 0.931250 + 0.371155i
\(127\) 7.49523 + 12.9821i 0.665094 + 1.15198i 0.979260 + 0.202609i \(0.0649420\pi\)
−0.314165 + 0.949368i \(0.601725\pi\)
\(128\) −10.7102 3.89819i −0.946656 0.344554i
\(129\) 4.76123 + 2.43854i 0.419203 + 0.214702i
\(130\) 0.0236764 + 0.0198668i 0.00207655 + 0.00174244i
\(131\) 0.424017 2.40472i 0.0370465 0.210101i −0.960666 0.277708i \(-0.910425\pi\)
0.997712 + 0.0676067i \(0.0215363\pi\)
\(132\) −0.0602049 + 0.0795474i −0.00524017 + 0.00692372i
\(133\) 5.16108 1.14513i 0.447522 0.0992952i
\(134\) 4.92695 0.425624
\(135\) 16.8111 + 0.399112i 1.44687 + 0.0343501i
\(136\) 6.24572 10.8179i 0.535566 0.927628i
\(137\) −2.83510 + 2.37893i −0.242219 + 0.203246i −0.755813 0.654788i \(-0.772758\pi\)
0.513594 + 0.858033i \(0.328314\pi\)
\(138\) 8.37751 11.0690i 0.713141 0.942258i
\(139\) 4.54359 + 3.81253i 0.385382 + 0.323374i 0.814811 0.579727i \(-0.196841\pi\)
−0.429429 + 0.903101i \(0.641285\pi\)
\(140\) −0.0846090 0.0111240i −0.00715077 0.000940149i
\(141\) 7.54896 4.87991i 0.635737 0.410962i
\(142\) −9.32144 3.39273i −0.782238 0.284711i
\(143\) −0.0389297 −0.00325547
\(144\) 9.96945 + 6.78541i 0.830787 + 0.565451i
\(145\) −26.2956 −2.18373
\(146\) −0.244111 1.38442i −0.0202028 0.114576i
\(147\) −8.99597 8.12850i −0.741975 0.670427i
\(148\) −0.00117635 0.000428155i −9.66951e−5 3.51941e-5i
\(149\) 5.08481 + 4.26666i 0.416564 + 0.349538i 0.826854 0.562416i \(-0.190128\pi\)
−0.410290 + 0.911955i \(0.634573\pi\)
\(150\) −13.1013 + 2.99578i −1.06971 + 0.244604i
\(151\) −3.73656 1.36000i −0.304077 0.110675i 0.185475 0.982649i \(-0.440618\pi\)
−0.489552 + 0.871974i \(0.662840\pi\)
\(152\) 5.63744 0.457256
\(153\) −9.26672 + 9.51588i −0.749170 + 0.769313i
\(154\) 18.2799 11.6501i 1.47304 0.938790i
\(155\) 14.7595 12.3847i 1.18551 0.994765i
\(156\) −5.84295e−6 0 0.000116144i −4.67810e−7 0 9.29896e-6i
\(157\) −15.5531 13.0506i −1.24128 1.04155i −0.997423 0.0717415i \(-0.977144\pi\)
−0.243852 0.969812i \(-0.578411\pi\)
\(158\) 2.72322 0.991170i 0.216648 0.0788533i
\(159\) 2.28990 + 5.42624i 0.181601 + 0.430329i
\(160\) −0.171453 0.0624039i −0.0135546 0.00493346i
\(161\) −12.6131 + 8.03853i −0.994053 + 0.633525i
\(162\) −8.45810 9.55342i −0.664531 0.750588i
\(163\) −9.67387 16.7556i −0.757716 1.31240i −0.944013 0.329909i \(-0.892982\pi\)
0.186297 0.982493i \(-0.440351\pi\)
\(164\) −0.0613287 + 0.0514609i −0.00478897 + 0.00401842i
\(165\) 19.5485 25.8290i 1.52185 2.01079i
\(166\) −1.10848 + 6.28649i −0.0860346 + 0.487927i
\(167\) −0.997535 + 5.65730i −0.0771915 + 0.437775i 0.921578 + 0.388192i \(0.126900\pi\)
−0.998770 + 0.0495829i \(0.984211\pi\)
\(168\) −7.48767 10.5401i −0.577687 0.813185i
\(169\) −9.95854 + 8.35621i −0.766042 + 0.642785i
\(170\) 10.1568 17.5921i 0.778992 1.34925i
\(171\) −5.81025 1.47454i −0.444321 0.112761i
\(172\) 0.0153910 + 0.0266579i 0.00117355 + 0.00203265i
\(173\) −0.373753 + 0.313616i −0.0284159 + 0.0238438i −0.656885 0.753991i \(-0.728126\pi\)
0.628469 + 0.777835i \(0.283682\pi\)
\(174\) 13.5772 + 14.6210i 1.02928 + 1.10842i
\(175\) 14.3566 + 1.88754i 1.08526 + 0.142685i
\(176\) 21.8295 7.94529i 1.64546 0.598899i
\(177\) 9.05791 2.07121i 0.680834 0.155682i
\(178\) 15.0267 + 5.46929i 1.12630 + 0.409940i
\(179\) −13.2713 22.9866i −0.991945 1.71810i −0.605669 0.795717i \(-0.707094\pi\)
−0.386277 0.922383i \(-0.626239\pi\)
\(180\) 0.0799930 + 0.0544449i 0.00596233 + 0.00405808i
\(181\) −1.63338 2.82910i −0.121408 0.210285i 0.798915 0.601444i \(-0.205408\pi\)
−0.920323 + 0.391159i \(0.872074\pi\)
\(182\) −0.00759410 + 0.0241001i −0.000562912 + 0.00178641i
\(183\) −4.62613 + 2.99049i −0.341973 + 0.221063i
\(184\) −14.9876 + 5.45505i −1.10490 + 0.402152i
\(185\) 0.381959 0.139022i 0.0280822 0.0102211i
\(186\) −14.5070 1.81208i −1.06370 0.132868i
\(187\) 4.44302 + 25.1976i 0.324906 + 1.84263i
\(188\) 0.0517249 0.00377243
\(189\) 4.96032 + 12.8217i 0.360811 + 0.932639i
\(190\) 9.16762 0.665089
\(191\) 1.47689 + 8.37585i 0.106864 + 0.606055i 0.990459 + 0.137804i \(0.0440045\pi\)
−0.883596 + 0.468251i \(0.844884\pi\)
\(192\) −5.36029 12.7019i −0.386846 0.916684i
\(193\) 6.80533 2.47694i 0.489858 0.178294i −0.0852688 0.996358i \(-0.527175\pi\)
0.575127 + 0.818064i \(0.304953\pi\)
\(194\) −8.47708 + 3.08541i −0.608619 + 0.221519i
\(195\) 0.00189720 + 0.0377119i 0.000135862 + 0.00270061i
\(196\) −0.0180806 0.0673837i −0.00129147 0.00481312i
\(197\) 10.8209 + 18.7424i 0.770959 + 1.33534i 0.937038 + 0.349228i \(0.113556\pi\)
−0.166078 + 0.986113i \(0.553111\pi\)
\(198\) −24.4550 + 2.46680i −1.73794 + 0.175308i
\(199\) 0.652269 + 1.12976i 0.0462381 + 0.0800868i 0.888218 0.459422i \(-0.151943\pi\)
−0.841980 + 0.539509i \(0.818610\pi\)
\(200\) 14.5099 + 5.28119i 1.02601 + 0.373436i
\(201\) 4.09591 + 4.41081i 0.288903 + 0.311115i
\(202\) −20.6485 + 7.51545i −1.45283 + 0.528786i
\(203\) −8.23037 19.8601i −0.577659 1.39391i
\(204\) −0.0745083 + 0.0170373i −0.00521663 + 0.00119285i
\(205\) 19.9134 16.7093i 1.39081 1.16703i
\(206\) −9.15581 15.8583i −0.637915 1.10490i
\(207\) 16.8739 1.70209i 1.17282 0.118303i
\(208\) −0.0135397 + 0.0234515i −0.000938810 + 0.00162607i
\(209\) −8.84568 + 7.42240i −0.611868 + 0.513418i
\(210\) −12.1765 17.1403i −0.840258 1.18280i
\(211\) 0.922352 5.23092i 0.0634973 0.360111i −0.936459 0.350777i \(-0.885918\pi\)
0.999956 0.00933440i \(-0.00297128\pi\)
\(212\) −0.00588506 + 0.0333758i −0.000404188 + 0.00229226i
\(213\) −4.71186 11.1654i −0.322851 0.765041i
\(214\) −8.99093 + 7.54428i −0.614607 + 0.515717i
\(215\) −4.99744 8.65582i −0.340823 0.590322i
\(216\) 2.20232 + 14.4937i 0.149849 + 0.986173i
\(217\) 13.9734 + 7.27097i 0.948573 + 0.493586i
\(218\) −4.80512 1.74892i −0.325444 0.118452i
\(219\) 1.03646 1.36945i 0.0700372 0.0925385i
\(220\) 0.175156 0.0637516i 0.0118090 0.00429813i
\(221\) −0.0228477 0.0191715i −0.00153690 0.00128962i
\(222\) −0.274516 0.140598i −0.0184243 0.00943630i
\(223\) −2.10279 + 1.76445i −0.140813 + 0.118156i −0.710474 0.703724i \(-0.751519\pi\)
0.569660 + 0.821880i \(0.307075\pi\)
\(224\) −0.00653256 0.149024i −0.000436475 0.00995710i
\(225\) −13.5734 9.23832i −0.904892 0.615888i
\(226\) 13.7189 0.912567
\(227\) 3.14495 + 1.14467i 0.208738 + 0.0759744i 0.444273 0.895891i \(-0.353462\pi\)
−0.235535 + 0.971866i \(0.575684\pi\)
\(228\) −0.0234718 0.0252764i −0.00155446 0.00167397i
\(229\) −21.7522 18.2523i −1.43743 1.20614i −0.941154 0.337978i \(-0.890257\pi\)
−0.496273 0.868167i \(-0.665298\pi\)
\(230\) −24.3730 + 8.87103i −1.60711 + 0.584938i
\(231\) 25.6262 + 6.67992i 1.68608 + 0.439506i
\(232\) −3.98083 22.5764i −0.261354 1.48221i
\(233\) 7.98422 0.523064 0.261532 0.965195i \(-0.415772\pi\)
0.261532 + 0.965195i \(0.415772\pi\)
\(234\) 0.0199891 0.0205266i 0.00130673 0.00134187i
\(235\) −16.7951 −1.09559
\(236\) 0.0502428 + 0.0182869i 0.00327053 + 0.00119037i
\(237\) 3.15122 + 1.61395i 0.204694 + 0.104837i
\(238\) 16.4657 + 2.16483i 1.06731 + 0.140325i
\(239\) −9.14520 7.67373i −0.591554 0.496372i 0.297165 0.954826i \(-0.403959\pi\)
−0.888718 + 0.458454i \(0.848403\pi\)
\(240\) −8.76058 20.7594i −0.565493 1.34001i
\(241\) 2.55800 2.14642i 0.164775 0.138263i −0.556672 0.830733i \(-0.687922\pi\)
0.721447 + 0.692470i \(0.243477\pi\)
\(242\) −15.8761 + 27.4982i −1.02055 + 1.76765i
\(243\) 1.52117 15.5141i 0.0975831 0.995227i
\(244\) −0.0316979 −0.00202925
\(245\) 5.87076 + 21.8795i 0.375069 + 1.39783i
\(246\) −19.5726 2.44484i −1.24791 0.155877i
\(247\) 0.00233737 0.0132559i 0.000148724 0.000843453i
\(248\) 12.8674 + 10.7971i 0.817083 + 0.685614i
\(249\) −6.54944 + 4.23378i −0.415054 + 0.268305i
\(250\) 2.03926 + 0.742229i 0.128974 + 0.0469427i
\(251\) 0.120361 + 0.208472i 0.00759714 + 0.0131586i 0.869799 0.493406i \(-0.164248\pi\)
−0.862202 + 0.506565i \(0.830915\pi\)
\(252\) −0.0160828 + 0.0774566i −0.00101312 + 0.00487931i
\(253\) 16.3348 28.2926i 1.02696 1.77874i
\(254\) −16.2803 + 13.6608i −1.02152 + 0.857157i
\(255\) 24.1928 5.53201i 1.51501 0.346428i
\(256\) 0.0415360 0.235562i 0.00259600 0.0147226i
\(257\) 5.72588 + 4.80458i 0.357171 + 0.299702i 0.803662 0.595086i \(-0.202882\pi\)
−0.446491 + 0.894788i \(0.647327\pi\)
\(258\) −2.23253 + 7.24794i −0.138991 + 0.451237i
\(259\) 0.224549 + 0.244966i 0.0139528 + 0.0152215i
\(260\) −0.000108640 0 0.000188170i −6.73758e−6 0 1.16698e-5i
\(261\) −1.80226 + 24.3097i −0.111557 + 1.50473i
\(262\) 3.46184 0.213873
\(263\) 4.79058 + 27.1687i 0.295400 + 1.67529i 0.665574 + 0.746332i \(0.268187\pi\)
−0.370175 + 0.928962i \(0.620702\pi\)
\(264\) 25.1352 + 12.8734i 1.54696 + 0.792302i
\(265\) 1.91088 10.8371i 0.117384 0.665719i
\(266\) 2.86941 + 6.92396i 0.175935 + 0.424535i
\(267\) 7.59581 + 17.9993i 0.464856 + 1.10154i
\(268\) 0.00601462 + 0.0341106i 0.000367401 + 0.00208364i
\(269\) −9.01536 + 15.6151i −0.549676 + 0.952067i 0.448620 + 0.893723i \(0.351916\pi\)
−0.998296 + 0.0583449i \(0.981418\pi\)
\(270\) 3.58142 + 23.5698i 0.217958 + 1.43441i
\(271\) 0.526488 + 0.911904i 0.0319819 + 0.0553942i 0.881573 0.472047i \(-0.156485\pi\)
−0.849591 + 0.527441i \(0.823151\pi\)
\(272\) 16.7244 + 6.08720i 1.01407 + 0.369091i
\(273\) −0.0278885 + 0.0132365i −0.00168789 + 0.000801108i
\(274\) −4.01941 3.37268i −0.242821 0.203751i
\(275\) −29.7208 + 10.8175i −1.79223 + 0.652320i
\(276\) 0.0868606 + 0.0444871i 0.00522840 + 0.00267781i
\(277\) 1.08250 + 6.13916i 0.0650411 + 0.368866i 0.999904 + 0.0138574i \(0.00441110\pi\)
−0.934863 + 0.355009i \(0.884478\pi\)
\(278\) −4.20446 + 7.28233i −0.252166 + 0.436765i
\(279\) −10.4378 14.4937i −0.624894 0.867713i
\(280\) 1.05791 + 24.1336i 0.0632223 + 1.44226i
\(281\) 3.27981 + 18.6007i 0.195657 + 1.10962i 0.911480 + 0.411344i \(0.134940\pi\)
−0.715823 + 0.698281i \(0.753948\pi\)
\(282\) 8.67175 + 9.33845i 0.516395 + 0.556097i
\(283\) −2.04526 + 11.5992i −0.121578 + 0.689503i 0.861704 + 0.507412i \(0.169398\pi\)
−0.983282 + 0.182091i \(0.941713\pi\)
\(284\) 0.0121095 0.0686764i 0.000718567 0.00407520i
\(285\) 7.62129 + 8.20723i 0.451447 + 0.486155i
\(286\) −0.00958398 0.0543535i −0.000566713 0.00321399i
\(287\) 18.8527 + 9.80992i 1.11284 + 0.579061i
\(288\) −0.0694420 + 0.154227i −0.00409191 + 0.00908794i
\(289\) −1.30134 + 2.25398i −0.0765493 + 0.132587i
\(290\) −6.47364 36.7138i −0.380145 2.15591i
\(291\) −9.80941 5.02405i −0.575038 0.294515i
\(292\) 0.00928671 0.00338009i 0.000543464 0.000197805i
\(293\) 5.29229 + 4.44076i 0.309179 + 0.259432i 0.784153 0.620568i \(-0.213098\pi\)
−0.474974 + 0.880000i \(0.657542\pi\)
\(294\) 9.13427 14.5613i 0.532721 0.849230i
\(295\) −16.3138 5.93774i −0.949827 0.345709i
\(296\) 0.177182 + 0.306889i 0.0102985 + 0.0178376i
\(297\) −22.5385 19.8424i −1.30782 1.15137i
\(298\) −4.70528 + 8.14978i −0.272569 + 0.472104i
\(299\) 0.00661293 + 0.0375038i 0.000382436 + 0.00216890i
\(300\) −0.0367340 0.0870463i −0.00212084 0.00502562i
\(301\) 4.97324 6.48360i 0.286653 0.373708i
\(302\) 0.978928 5.55177i 0.0563310 0.319469i
\(303\) −23.8938 12.2376i −1.37267 0.703033i
\(304\) 1.39478 + 7.91018i 0.0799960 + 0.453680i
\(305\) 10.2923 0.589335
\(306\) −15.5674 10.5955i −0.889927 0.605702i
\(307\) 10.5306 18.2395i 0.601013 1.04098i −0.391656 0.920112i \(-0.628098\pi\)
0.992668 0.120872i \(-0.0385692\pi\)
\(308\) 0.102972 + 0.112335i 0.00586737 + 0.00640087i
\(309\) 6.58555 21.3801i 0.374639 1.21627i
\(310\) 20.9251 + 17.5582i 1.18846 + 0.997240i
\(311\) −4.86537 + 27.5929i −0.275890 + 1.56465i 0.460232 + 0.887799i \(0.347766\pi\)
−0.736122 + 0.676849i \(0.763345\pi\)
\(312\) −0.0320907 + 0.00733797i −0.00181678 + 0.000415431i
\(313\) 9.65313 8.09994i 0.545627 0.457836i −0.327830 0.944737i \(-0.606317\pi\)
0.873457 + 0.486901i \(0.161873\pi\)
\(314\) 14.3922 24.9281i 0.812201 1.40677i
\(315\) 5.22208 25.1501i 0.294231 1.41705i
\(316\) 0.0101865 + 0.0176436i 0.000573037 + 0.000992528i
\(317\) 15.9492 + 5.80504i 0.895797 + 0.326043i 0.748567 0.663059i \(-0.230742\pi\)
0.147230 + 0.989102i \(0.452964\pi\)
\(318\) −7.01234 + 4.53301i −0.393232 + 0.254199i
\(319\) 35.9710 + 30.1832i 2.01399 + 1.68994i
\(320\) −4.47306 + 25.3680i −0.250051 + 1.41811i
\(321\) −14.2284 1.77728i −0.794149 0.0991981i
\(322\) −14.3285 15.6314i −0.798498 0.871103i
\(323\) −8.84677 −0.492247
\(324\) 0.0558155 0.0702200i 0.00310086 0.00390111i
\(325\) 0.0184343 0.0319291i 0.00102255 0.00177111i
\(326\) 21.0125 17.6316i 1.16378 0.976525i
\(327\) −2.42892 5.75567i −0.134320 0.318289i
\(328\) 17.3606 + 14.5673i 0.958580 + 0.804344i
\(329\) −5.25675 12.6847i −0.289814 0.699328i
\(330\) 40.8749 + 20.9348i 2.25009 + 1.15242i
\(331\) −14.2427 5.18393i −0.782852 0.284935i −0.0804906 0.996755i \(-0.525649\pi\)
−0.702361 + 0.711821i \(0.747871\pi\)
\(332\) −0.0448762 −0.00246290
\(333\) −0.102343 0.362640i −0.00560839 0.0198726i
\(334\) −8.14427 −0.445635
\(335\) −1.95294 11.0757i −0.106701 0.605130i
\(336\) 12.9368 13.1141i 0.705760 0.715433i
\(337\) −24.3574 + 8.86536i −1.32683 + 0.482927i −0.905641 0.424045i \(-0.860610\pi\)
−0.421190 + 0.906972i \(0.638388\pi\)
\(338\) −14.1186 11.8469i −0.767948 0.644385i
\(339\) 11.4049 + 12.2817i 0.619429 + 0.667051i
\(340\) 0.134194 + 0.0488426i 0.00727768 + 0.00264886i
\(341\) −34.4059 −1.86319
\(342\) 0.628333 8.47525i 0.0339763 0.458289i
\(343\) −14.6872 + 11.2821i −0.793035 + 0.609176i
\(344\) 6.67499 5.60099i 0.359892 0.301985i
\(345\) −28.2036 14.4449i −1.51843 0.777690i
\(346\) −0.529882 0.444624i −0.0284866 0.0239031i
\(347\) 26.4514 9.62753i 1.41999 0.516833i 0.485943 0.873991i \(-0.338476\pi\)
0.934044 + 0.357158i \(0.116254\pi\)
\(348\) −0.0846506 + 0.111847i −0.00453775 + 0.00599563i
\(349\) −4.71905 1.71759i −0.252605 0.0919407i 0.212614 0.977136i \(-0.431802\pi\)
−0.465219 + 0.885196i \(0.654024\pi\)
\(350\) 0.899038 + 20.5093i 0.0480556 + 1.09627i
\(351\) 0.0349938 0.000830789i 0.00186783 4.43442e-5i
\(352\) 0.162909 + 0.282167i 0.00868307 + 0.0150395i
\(353\) 10.0552 8.43735i 0.535186 0.449075i −0.334702 0.942324i \(-0.608636\pi\)
0.869888 + 0.493250i \(0.164191\pi\)
\(354\) 5.12175 + 12.1367i 0.272218 + 0.645058i
\(355\) −3.93195 + 22.2992i −0.208686 + 1.18352i
\(356\) −0.0195213 + 0.110711i −0.00103463 + 0.00586766i
\(357\) 11.7503 + 16.5404i 0.621893 + 0.875413i
\(358\) 28.8266 24.1883i 1.52353 1.27839i
\(359\) 1.35194 2.34164i 0.0713529 0.123587i −0.828142 0.560519i \(-0.810602\pi\)
0.899494 + 0.436932i \(0.143935\pi\)
\(360\) 11.2457 24.9762i 0.592702 1.31636i
\(361\) 7.50371 + 12.9968i 0.394932 + 0.684042i
\(362\) 3.54785 2.97700i 0.186471 0.156468i
\(363\) −37.8158 + 8.64707i −1.98481 + 0.453854i
\(364\) −0.000176122 0 2.31556e-5i −9.23128e−6 0 1.21368e-6i
\(365\) −3.01539 + 1.09751i −0.157833 + 0.0574464i
\(366\) −5.31419 5.72276i −0.277777 0.299133i
\(367\) −10.1865 3.70757i −0.531729 0.193533i 0.0621813 0.998065i \(-0.480194\pi\)
−0.593910 + 0.804531i \(0.702417\pi\)
\(368\) −11.3624 19.6803i −0.592307 1.02591i
\(369\) −14.0826 19.5547i −0.733108 1.01798i
\(370\) 0.288135 + 0.499064i 0.0149794 + 0.0259451i
\(371\) 8.78296 1.94874i 0.455988 0.101174i
\(372\) −0.00516398 0.102648i −0.000267740 0.00532203i
\(373\) −5.00163 + 1.82045i −0.258975 + 0.0942591i −0.468245 0.883599i \(-0.655113\pi\)
0.209270 + 0.977858i \(0.432891\pi\)
\(374\) −34.0869 + 12.4066i −1.76259 + 0.641532i
\(375\) 1.03082 + 2.44266i 0.0532311 + 0.126139i
\(376\) −2.54256 14.4196i −0.131122 0.743632i
\(377\) −0.0547368 −0.00281909
\(378\) −16.6804 + 10.0821i −0.857946 + 0.518567i
\(379\) 1.33171 0.0684055 0.0342028 0.999415i \(-0.489111\pi\)
0.0342028 + 0.999415i \(0.489111\pi\)
\(380\) 0.0111914 + 0.0634698i 0.000574109 + 0.00325593i
\(381\) −25.7640 3.21821i −1.31993 0.164874i
\(382\) −11.3307 + 4.12405i −0.579730 + 0.211005i
\(383\) 0.780305 0.284008i 0.0398717 0.0145121i −0.322007 0.946737i \(-0.604358\pi\)
0.361879 + 0.932225i \(0.382135\pi\)
\(384\) 16.5788 10.7171i 0.846032 0.546904i
\(385\) −33.4349 36.4751i −1.70400 1.85894i
\(386\) 5.13367 + 8.89177i 0.261297 + 0.452579i
\(387\) −8.34461 + 4.02676i −0.424180 + 0.204692i
\(388\) −0.0317095 0.0549225i −0.00160981 0.00278827i
\(389\) −6.61352 2.40712i −0.335319 0.122046i 0.168873 0.985638i \(-0.445987\pi\)
−0.504192 + 0.863592i \(0.668209\pi\)
\(390\) −0.0521861 + 0.0119330i −0.00264254 + 0.000604253i
\(391\) 23.5199 8.56055i 1.18945 0.432926i
\(392\) −17.8961 + 8.35267i −0.903889 + 0.421874i
\(393\) 2.87793 + 3.09919i 0.145172 + 0.156333i
\(394\) −23.5041 + 19.7223i −1.18412 + 0.993593i
\(395\) −3.30756 5.72886i −0.166421 0.288250i
\(396\) −0.0469319 0.166297i −0.00235842 0.00835674i
\(397\) 13.1429 22.7642i 0.659623 1.14250i −0.321090 0.947049i \(-0.604049\pi\)
0.980713 0.195452i \(-0.0626174\pi\)
\(398\) −1.41679 + 1.18883i −0.0710172 + 0.0595905i
\(399\) −3.81319 + 8.32489i −0.190898 + 0.416766i
\(400\) −3.82035 + 21.6663i −0.191018 + 1.08331i
\(401\) 2.35377 13.3489i 0.117542 0.666611i −0.867919 0.496706i \(-0.834543\pi\)
0.985460 0.169905i \(-0.0543462\pi\)
\(402\) −5.14999 + 6.80457i −0.256858 + 0.339381i
\(403\) 0.0307233 0.0257799i 0.00153044 0.00128419i
\(404\) −0.0772383 0.133781i −0.00384275 0.00665584i
\(405\) −18.1233 + 22.8004i −0.900553 + 1.13296i
\(406\) 25.7023 16.3805i 1.27559 0.812950i
\(407\) −0.682074 0.248255i −0.0338092 0.0123055i
\(408\) 8.41205 + 19.9335i 0.416459 + 0.986857i
\(409\) 36.2955 13.2105i 1.79469 0.653215i 0.795833 0.605516i \(-0.207033\pi\)
0.998862 0.0476990i \(-0.0151888\pi\)
\(410\) 28.2319 + 23.6894i 1.39427 + 1.16994i
\(411\) −0.322078 6.40215i −0.0158869 0.315795i
\(412\) 0.0986143 0.0827472i 0.00485838 0.00407666i
\(413\) −0.621574 14.1797i −0.0305857 0.697737i
\(414\) 6.53057 + 23.1402i 0.320960 + 1.13728i
\(415\) 14.5713 0.715277
\(416\) −0.000356896 0 0.000129900i −1.74983e−5 0 6.36885e-6i
\(417\) −10.0147 + 2.29000i −0.490423 + 0.112142i
\(418\) −12.5408 10.5230i −0.613391 0.514696i
\(419\) 6.04738 2.20107i 0.295434 0.107529i −0.190051 0.981774i \(-0.560865\pi\)
0.485485 + 0.874245i \(0.338643\pi\)
\(420\) 0.103802 0.105225i 0.00506504 0.00513446i
\(421\) −1.23460 7.00177i −0.0601708 0.341246i 0.939829 0.341645i \(-0.110984\pi\)
−1.00000 0.000399310i \(0.999873\pi\)
\(422\) 7.53045 0.366576
\(423\) −1.15110 + 15.5266i −0.0559686 + 0.754930i
\(424\) 9.59361 0.465907
\(425\) −22.7703 8.28771i −1.10452 0.402013i
\(426\) 14.4291 9.32744i 0.699091 0.451916i
\(427\) 3.22142 + 7.77337i 0.155896 + 0.376180i
\(428\) −0.0632068 0.0530368i −0.00305522 0.00256363i
\(429\) 0.0406920 0.0537655i 0.00196463 0.00259582i
\(430\) 10.8549 9.10835i 0.523470 0.439243i
\(431\) 16.1115 27.9059i 0.776062 1.34418i −0.158134 0.987418i \(-0.550548\pi\)
0.934196 0.356761i \(-0.116119\pi\)
\(432\) −19.7920 + 6.67613i −0.952244 + 0.321206i
\(433\) 28.9030 1.38899 0.694496 0.719497i \(-0.255627\pi\)
0.694496 + 0.719497i \(0.255627\pi\)
\(434\) −6.71164 + 21.2995i −0.322169 + 1.02241i
\(435\) 27.4860 36.3167i 1.31785 1.74125i
\(436\) 0.00624235 0.0354021i 0.000298954 0.00169545i
\(437\) 8.65313 + 7.26084i 0.413935 + 0.347333i
\(438\) 2.16717 + 1.10995i 0.103552 + 0.0530356i
\(439\) 26.3927 + 9.60616i 1.25966 + 0.458477i 0.883653 0.468142i \(-0.155076\pi\)
0.376002 + 0.926619i \(0.377299\pi\)
\(440\) −26.3822 45.6952i −1.25772 2.17844i
\(441\) 20.6294 3.92780i 0.982353 0.187038i
\(442\) 0.0211424 0.0366196i 0.00100564 0.00174182i
\(443\) −6.59456 + 5.53350i −0.313317 + 0.262904i −0.785861 0.618403i \(-0.787780\pi\)
0.472544 + 0.881307i \(0.343336\pi\)
\(444\) 0.000638277 0.00207218i 3.02913e−5 9.83413e-5i
\(445\) 6.33855 35.9477i 0.300476 1.70409i
\(446\) −2.98120 2.50152i −0.141164 0.118450i
\(447\) −11.2076 + 2.56277i −0.530103 + 0.121215i
\(448\) −20.5595 + 4.56169i −0.971345 + 0.215520i
\(449\) −1.00338 + 1.73790i −0.0473523 + 0.0820166i −0.888730 0.458431i \(-0.848412\pi\)
0.841378 + 0.540447i \(0.181745\pi\)
\(450\) 9.55690 21.2254i 0.450517 1.00058i
\(451\) −46.4201 −2.18584
\(452\) 0.0167474 + 0.0949795i 0.000787734 + 0.00446746i
\(453\) 5.78399 3.73897i 0.271755 0.175672i
\(454\) −0.823935 + 4.67277i −0.0386692 + 0.219304i
\(455\) 0.0571866 + 0.00751862i 0.00268095 + 0.000352478i
\(456\) −5.89264 + 7.78581i −0.275948 + 0.364604i
\(457\) 3.84265 + 21.7927i 0.179751 + 1.01942i 0.932515 + 0.361130i \(0.117609\pi\)
−0.752764 + 0.658291i \(0.771280\pi\)
\(458\) 20.1286 34.8638i 0.940549 1.62908i
\(459\) −3.45608 22.7448i −0.161316 1.06164i
\(460\) −0.0911699 0.157911i −0.00425082 0.00736264i
\(461\) −4.59624 1.67289i −0.214068 0.0779145i 0.232760 0.972534i \(-0.425224\pi\)
−0.446828 + 0.894620i \(0.647447\pi\)
\(462\) −3.01763 + 37.4237i −0.140393 + 1.74111i
\(463\) −7.11816 5.97285i −0.330809 0.277582i 0.462220 0.886765i \(-0.347053\pi\)
−0.793029 + 0.609183i \(0.791497\pi\)
\(464\) 30.6932 11.1714i 1.42490 0.518620i
\(465\) 1.67674 + 33.3296i 0.0777570 + 1.54562i
\(466\) 1.96561 + 11.1475i 0.0910551 + 0.516399i
\(467\) 16.7554 29.0212i 0.775347 1.34294i −0.159252 0.987238i \(-0.550908\pi\)
0.934599 0.355703i \(-0.115758\pi\)
\(468\) 0.000166513 0 0.000113332i 7.69706e−6 0 5.23878e-6i
\(469\) 7.75379 4.94161i 0.358037 0.228182i
\(470\) −4.13472 23.4492i −0.190720 1.08163i
\(471\) 34.2813 7.83888i 1.57960 0.361196i
\(472\) 2.62821 14.9053i 0.120973 0.686072i
\(473\) −3.09929 + 17.5770i −0.142506 + 0.808190i
\(474\) −1.47760 + 4.79705i −0.0678684 + 0.220336i
\(475\) −1.89899 10.7697i −0.0871315 0.494147i
\(476\) 0.00511293 + 0.116639i 0.000234351 + 0.00534614i
\(477\) −9.88769 2.50932i −0.452726 0.114894i
\(478\) 8.46259 14.6576i 0.387070 0.670425i
\(479\) −5.53869 31.4114i −0.253069 1.43523i −0.800981 0.598690i \(-0.795688\pi\)
0.547912 0.836536i \(-0.315423\pi\)
\(480\) 0.265400 0.171564i 0.0121138 0.00783078i
\(481\) 0.000795084 0 0.000289387i 3.62527e−5 0 1.31949e-5i
\(482\) 3.62656 + 3.04305i 0.165185 + 0.138607i
\(483\) 2.08216 25.8223i 0.0947414 1.17496i
\(484\) −0.209758 0.0763457i −0.00953446 0.00347026i
\(485\) 10.2961 + 17.8333i 0.467521 + 0.809769i
\(486\) 22.0351 1.69551i 0.999534 0.0769098i
\(487\) −18.6767 + 32.3490i −0.846322 + 1.46587i 0.0381466 + 0.999272i \(0.487855\pi\)
−0.884468 + 0.466600i \(0.845479\pi\)
\(488\) 1.55812 + 8.83655i 0.0705329 + 0.400012i
\(489\) 33.2528 + 4.15365i 1.50375 + 0.187835i
\(490\) −29.1027 + 13.5832i −1.31473 + 0.613624i
\(491\) −2.23151 + 12.6555i −0.100706 + 0.571135i 0.892142 + 0.451755i \(0.149202\pi\)
−0.992849 + 0.119380i \(0.961909\pi\)
\(492\) −0.00696718 0.138491i −0.000314105 0.00624366i
\(493\) 6.24707 + 35.4289i 0.281354 + 1.59564i
\(494\) 0.0190833 0.000858596
\(495\) 15.2388 + 53.9966i 0.684932 + 2.42696i
\(496\) −11.9663 + 20.7263i −0.537305 + 0.930639i
\(497\) −18.0724 + 4.00986i −0.810659 + 0.179867i
\(498\) −7.52356 8.10199i −0.337139 0.363059i
\(499\) −22.2368 18.6589i −0.995458 0.835288i −0.00910927 0.999959i \(-0.502900\pi\)
−0.986349 + 0.164670i \(0.947344\pi\)
\(500\) −0.00264920 + 0.0150244i −0.000118476 + 0.000671911i
\(501\) −6.77055 7.29109i −0.302486 0.325742i
\(502\) −0.261436 + 0.219371i −0.0116685 + 0.00979100i
\(503\) 3.40133 5.89128i 0.151658 0.262679i −0.780179 0.625556i \(-0.784872\pi\)
0.931837 + 0.362877i \(0.118205\pi\)
\(504\) 22.3835 + 0.676063i 0.997038 + 0.0301142i
\(505\) 25.0793 + 43.4385i 1.11601 + 1.93299i
\(506\) 43.5234 + 15.8412i 1.93485 + 0.704228i
\(507\) −1.13133 22.4881i −0.0502441 0.998733i
\(508\) −0.114452 0.0960365i −0.00507798 0.00426093i
\(509\) 2.13572 12.1122i 0.0946639 0.536866i −0.900186 0.435506i \(-0.856570\pi\)
0.994850 0.101360i \(-0.0323194\pi\)
\(510\) 13.6797 + 32.4160i 0.605748 + 1.43540i
\(511\) −1.77271 1.93390i −0.0784200 0.0855505i
\(512\) −22.4560 −0.992423
\(513\) 8.10974 6.48319i 0.358054 0.286240i
\(514\) −5.29850 + 9.17727i −0.233707 + 0.404792i
\(515\) −32.0200 + 26.8680i −1.41097 + 1.18394i
\(516\) −0.0529047 0.00660839i −0.00232900 0.000290918i
\(517\) 22.9747 + 19.2781i 1.01043 + 0.847849i
\(518\) −0.286740 + 0.373821i −0.0125986 + 0.0164248i
\(519\) −0.0424598 0.844000i −0.00186378 0.0370475i
\(520\) 0.0577973 + 0.0210365i 0.00253458 + 0.000922511i
\(521\) 18.9909 0.832005 0.416003 0.909363i \(-0.363431\pi\)
0.416003 + 0.909363i \(0.363431\pi\)
\(522\) −34.3847 + 3.46842i −1.50498 + 0.151809i
\(523\) −18.2926 −0.799880 −0.399940 0.916541i \(-0.630969\pi\)
−0.399940 + 0.916541i \(0.630969\pi\)
\(524\) 0.00422607 + 0.0239673i 0.000184617 + 0.00104701i
\(525\) −17.6134 + 17.8548i −0.768712 + 0.779249i
\(526\) −36.7534 + 13.3771i −1.60252 + 0.583271i
\(527\) −20.1927 16.9437i −0.879609 0.738080i
\(528\) −11.8445 + 38.4535i −0.515468 + 1.67347i
\(529\) −8.41814 3.06395i −0.366006 0.133215i
\(530\) 15.6012 0.677671
\(531\) −6.60742 + 14.6748i −0.286738 + 0.636831i
\(532\) −0.0444335 + 0.0283181i −0.00192644 + 0.00122775i
\(533\) 0.0414516 0.0347820i 0.00179547 0.00150658i
\(534\) −23.2606 + 15.0364i −1.00658 + 0.650690i
\(535\) 20.5232 + 17.2210i 0.887296 + 0.744530i
\(536\) 9.21350 3.35344i 0.397963 0.144847i
\(537\) 45.6187 + 5.69828i 1.96859 + 0.245899i
\(538\) −24.0211 8.74298i −1.03562 0.376937i
\(539\) 17.0833 36.6686i 0.735830 1.57943i
\(540\) −0.158808 + 0.0535681i −0.00683399 + 0.00230520i
\(541\) 1.87261 + 3.24346i 0.0805099 + 0.139447i 0.903469 0.428653i \(-0.141012\pi\)
−0.822959 + 0.568101i \(0.807678\pi\)
\(542\) −1.14358 + 0.959578i −0.0491210 + 0.0412174i
\(543\) 5.61456 + 0.701321i 0.240944 + 0.0300966i
\(544\) −0.0433464 + 0.245829i −0.00185846 + 0.0105398i
\(545\) −2.02689 + 11.4951i −0.0868224 + 0.492394i
\(546\) −0.0253465 0.0356792i −0.00108473 0.00152693i
\(547\) 10.8661 9.11778i 0.464603 0.389848i −0.380218 0.924897i \(-0.624151\pi\)
0.844821 + 0.535049i \(0.179707\pi\)
\(548\) 0.0184433 0.0319447i 0.000787857 0.00136461i
\(549\) 0.705415 9.51497i 0.0301064 0.406089i
\(550\) −22.4202 38.8329i −0.956001 1.65584i
\(551\) −12.4374 + 10.4362i −0.529850 + 0.444597i
\(552\) 8.13219 26.4013i 0.346129 1.12371i
\(553\) 3.29154 4.29117i 0.139971 0.182479i
\(554\) −8.30497 + 3.02276i −0.352844 + 0.128425i
\(555\) −0.207248 + 0.672836i −0.00879721 + 0.0285603i
\(556\) −0.0555501 0.0202186i −0.00235585 0.000857459i
\(557\) 7.98181 + 13.8249i 0.338200 + 0.585780i 0.984094 0.177647i \(-0.0568485\pi\)
−0.645894 + 0.763427i \(0.723515\pi\)
\(558\) 17.6663 18.1413i 0.747875 0.767983i
\(559\) −0.0104026 0.0180179i −0.000439985 0.000762076i
\(560\) −33.6014 + 7.45539i −1.41992 + 0.315048i
\(561\) −39.4443 20.2021i −1.66534 0.852932i
\(562\) −25.1628 + 9.15849i −1.06143 + 0.386328i
\(563\) −10.0115 + 3.64389i −0.421934 + 0.153572i −0.544256 0.838919i \(-0.683188\pi\)
0.122322 + 0.992490i \(0.460966\pi\)
\(564\) −0.0540664 + 0.0714368i −0.00227661 + 0.00300803i
\(565\) −5.43789 30.8398i −0.228774 1.29744i
\(566\) −16.6983 −0.701882
\(567\) −22.8928 6.55143i −0.961406 0.275134i
\(568\) −19.7405 −0.828292
\(569\) −5.19377 29.4553i −0.217734 1.23483i −0.876099 0.482132i \(-0.839863\pi\)
0.658365 0.752699i \(-0.271248\pi\)
\(570\) −9.58263 + 12.6613i −0.401372 + 0.530324i
\(571\) −18.2661 + 6.64832i −0.764413 + 0.278224i −0.694658 0.719340i \(-0.744444\pi\)
−0.0697556 + 0.997564i \(0.522222\pi\)
\(572\) 0.000364604 0 0.000132705i 1.52448e−5 0 5.54867e-6i
\(573\) −13.1116 6.71530i −0.547743 0.280536i
\(574\) −9.05527 + 28.7371i −0.377960 + 1.19946i
\(575\) 15.4699 + 26.7947i 0.645139 + 1.11741i
\(576\) 23.1455 + 5.87391i 0.964396 + 0.244746i
\(577\) −3.76412 6.51965i −0.156702 0.271417i 0.776975 0.629531i \(-0.216753\pi\)
−0.933678 + 0.358115i \(0.883420\pi\)
\(578\) −3.46737 1.26202i −0.144224 0.0524931i
\(579\) −3.69252 + 11.9878i −0.153456 + 0.498198i
\(580\) 0.246277 0.0896374i 0.0102261 0.00372199i
\(581\) 4.56073 + 11.0051i 0.189211 + 0.456570i
\(582\) 4.59961 14.9327i 0.190660 0.618980i
\(583\) −15.0533 + 12.6312i −0.623443 + 0.523131i
\(584\) −1.39877 2.42275i −0.0578816 0.100254i
\(585\) −0.0540667 0.0367989i −0.00223538 0.00152145i
\(586\) −4.89727 + 8.48233i −0.202305 + 0.350402i
\(587\) −18.8178 + 15.7900i −0.776695 + 0.651724i −0.942414 0.334449i \(-0.891450\pi\)
0.165719 + 0.986173i \(0.447006\pi\)
\(588\) 0.111962 + 0.0454632i 0.00461724 + 0.00187487i
\(589\) 2.06576 11.7155i 0.0851183 0.482730i
\(590\) 4.27400 24.2391i 0.175958 0.997906i
\(591\) −37.1957 4.64616i −1.53003 0.191118i
\(592\) −0.386775 + 0.324542i −0.0158963 + 0.0133386i
\(593\) 19.7803 + 34.2605i 0.812280 + 1.40691i 0.911264 + 0.411822i \(0.135107\pi\)
−0.0989842 + 0.995089i \(0.531559\pi\)
\(594\) 22.1552 36.3530i 0.909038 1.49158i
\(595\) −1.66017 37.8726i −0.0680602 1.55263i
\(596\) −0.0621670 0.0226269i −0.00254646 0.000926836i
\(597\) −2.24210 0.280064i −0.0917632 0.0114622i
\(598\) −0.0507346 + 0.0184659i −0.00207469 + 0.000755126i
\(599\) −26.4174 22.1669i −1.07939 0.905714i −0.0835178 0.996506i \(-0.526616\pi\)
−0.995870 + 0.0907925i \(0.971060\pi\)
\(600\) −22.4606 + 14.5193i −0.916950 + 0.592747i
\(601\) −7.46053 + 6.26013i −0.304322 + 0.255356i −0.782140 0.623102i \(-0.785872\pi\)
0.477819 + 0.878458i \(0.341428\pi\)
\(602\) 10.2767 + 5.34744i 0.418847 + 0.217945i
\(603\) −10.3731 + 1.04634i −0.422424 + 0.0426103i
\(604\) 0.0396314 0.00161258
\(605\) 68.1084 + 24.7894i 2.76900 + 1.00783i
\(606\) 11.2038 36.3732i 0.455121 1.47756i
\(607\) −11.3370 9.51291i −0.460157 0.386117i 0.383032 0.923735i \(-0.374880\pi\)
−0.843189 + 0.537618i \(0.819324\pi\)
\(608\) −0.105861 + 0.0385304i −0.00429324 + 0.00156261i
\(609\) 36.0316 + 9.39224i 1.46007 + 0.380593i
\(610\) 2.53383 + 14.3700i 0.102592 + 0.581826i
\(611\) −0.0349605 −0.00141435
\(612\) 0.0543512 0.120711i 0.00219702 0.00487947i
\(613\) 36.8492 1.48832 0.744162 0.667999i \(-0.232849\pi\)
0.744162 + 0.667999i \(0.232849\pi\)
\(614\) 28.0584 + 10.2124i 1.13235 + 0.412140i
\(615\) 2.26224 + 44.9680i 0.0912224 + 1.81328i
\(616\) 26.2544 34.2278i 1.05782 1.37908i
\(617\) 16.0437 + 13.4622i 0.645894 + 0.541969i 0.905822 0.423659i \(-0.139254\pi\)
−0.259928 + 0.965628i \(0.583699\pi\)
\(618\) 31.4721 + 3.93121i 1.26599 + 0.158136i
\(619\) −0.423157 + 0.355071i −0.0170081 + 0.0142715i −0.651252 0.758861i \(-0.725756\pi\)
0.634244 + 0.773133i \(0.281311\pi\)
\(620\) −0.0960158 + 0.166304i −0.00385609 + 0.00667894i
\(621\) −15.2870 + 25.0835i −0.613447 + 1.00657i
\(622\) −39.7228 −1.59274
\(623\) 29.1339 6.46415i 1.16722 0.258981i
\(624\) −0.0182360 0.0432127i −0.000730023 0.00172989i
\(625\) −3.89168 + 22.0708i −0.155667 + 0.882833i
\(626\) 13.6856 + 11.4836i 0.546985 + 0.458975i
\(627\) −1.00490 19.9751i −0.0401320 0.797728i
\(628\) 0.190153 + 0.0692101i 0.00758794 + 0.00276178i
\(629\) −0.278050 0.481597i −0.0110866 0.0192025i
\(630\) 36.4001 + 1.09942i 1.45021 + 0.0438018i
\(631\) −11.2617 + 19.5059i −0.448322 + 0.776516i −0.998277 0.0586779i \(-0.981311\pi\)
0.549955 + 0.835194i \(0.314645\pi\)
\(632\) 4.41785 3.70702i 0.175733 0.147457i
\(633\) 6.26027 + 6.74157i 0.248823 + 0.267953i
\(634\) −4.17848 + 23.6973i −0.165949 + 0.941141i
\(635\) 37.1625 + 31.1830i 1.47475 + 1.23746i
\(636\) −0.0399436 0.0430145i −0.00158387 0.00170564i
\(637\) 0.0122205 + 0.0455441i 0.000484195 + 0.00180452i
\(638\) −33.2861 + 57.6532i −1.31781 + 2.28251i
\(639\) 20.3456 + 5.16334i 0.804859 + 0.204259i
\(640\) −36.8847 −1.45800
\(641\) −5.05246 28.6539i −0.199560 1.13176i −0.905773 0.423763i \(-0.860709\pi\)
0.706213 0.708000i \(-0.250402\pi\)
\(642\) −1.02140 20.3031i −0.0403116 0.801299i
\(643\) 7.97294 45.2168i 0.314422 1.78318i −0.261020 0.965333i \(-0.584059\pi\)
0.575442 0.817842i \(-0.304830\pi\)
\(644\) 0.0907285 0.118282i 0.00357520 0.00466098i
\(645\) 17.1781 + 2.14574i 0.676389 + 0.0844885i
\(646\) −2.17796 12.3518i −0.0856905 0.485975i
\(647\) −4.49895 + 7.79241i −0.176872 + 0.306351i −0.940808 0.338941i \(-0.889931\pi\)
0.763936 + 0.645293i \(0.223265\pi\)
\(648\) −22.3192 12.1082i −0.876780 0.475657i
\(649\) 15.5008 + 26.8482i 0.608460 + 1.05388i
\(650\) 0.0491175 + 0.0178773i 0.00192655 + 0.000701206i
\(651\) −24.6478 + 11.6984i −0.966023 + 0.458495i
\(652\) 0.147719 + 0.123951i 0.00578514 + 0.00485431i
\(653\) −38.1922 + 13.9008i −1.49457 + 0.543981i −0.954649 0.297732i \(-0.903770\pi\)
−0.539925 + 0.841713i \(0.681547\pi\)
\(654\) 7.43807 4.80822i 0.290851 0.188016i
\(655\) −1.37220 7.78216i −0.0536165 0.304074i
\(656\) −16.1449 + 27.9637i −0.630351 + 1.09180i
\(657\) 0.807954 + 2.86288i 0.0315213 + 0.111692i
\(658\) 16.4161 10.4622i 0.639967 0.407861i
\(659\) −8.33564 47.2738i −0.324711 1.84153i −0.511701 0.859163i \(-0.670985\pi\)
0.186991 0.982362i \(-0.440127\pi\)
\(660\) −0.0950385 + 0.308544i −0.00369937 + 0.0120101i
\(661\) −0.283344 + 1.60693i −0.0110208 + 0.0625022i −0.989822 0.142310i \(-0.954547\pi\)
0.978801 + 0.204812i \(0.0656582\pi\)
\(662\) 3.73141 21.1619i 0.145025 0.822479i
\(663\) 0.0503596 0.0115154i 0.00195581 0.000447221i
\(664\) 2.20591 + 12.5103i 0.0856059 + 0.485495i
\(665\) 14.4275 9.19489i 0.559476 0.356563i
\(666\) 0.481121 0.232169i 0.0186431 0.00899635i
\(667\) 22.9673 39.7806i 0.889299 1.54031i
\(668\) −0.00994218 0.0563849i −0.000384674 0.00218160i
\(669\) −0.238885 4.74847i −0.00923584 0.183587i
\(670\) 14.9830 5.45338i 0.578845 0.210682i
\(671\) −14.0793 11.8139i −0.543525 0.456072i
\(672\) 0.212644 + 0.146748i 0.00820293 + 0.00566094i
\(673\) 6.52093 + 2.37342i 0.251363 + 0.0914887i 0.464629 0.885506i \(-0.346188\pi\)
−0.213266 + 0.976994i \(0.568410\pi\)
\(674\) −18.3742 31.8251i −0.707749 1.22586i
\(675\) 26.9468 9.08954i 1.03718 0.349857i
\(676\) 0.0647837 0.112209i 0.00249168 0.00431572i
\(677\) −3.60943 20.4701i −0.138722 0.786730i −0.972195 0.234171i \(-0.924762\pi\)
0.833474 0.552559i \(-0.186349\pi\)
\(678\) −14.3399 + 18.9470i −0.550722 + 0.727657i
\(679\) −10.2462 + 13.3580i −0.393214 + 0.512631i
\(680\) 7.01969 39.8107i 0.269193 1.52667i
\(681\) −4.86822 + 3.14698i −0.186550 + 0.120593i
\(682\) −8.47029 48.0374i −0.324344 1.83945i
\(683\) −41.4893 −1.58754 −0.793772 0.608216i \(-0.791886\pi\)
−0.793772 + 0.608216i \(0.791886\pi\)
\(684\) 0.0594434 0.00599611i 0.00227287 0.000229267i
\(685\) −5.98852 + 10.3724i −0.228809 + 0.396310i
\(686\) −19.3678 17.7287i −0.739466 0.676885i
\(687\) 47.9450 10.9633i 1.82921 0.418274i
\(688\) 9.51052 + 7.98027i 0.362585 + 0.304245i
\(689\) 0.00397767 0.0225585i 0.000151537 0.000859410i
\(690\) 13.2246 42.9339i 0.503452 1.63447i
\(691\) −6.71271 + 5.63263i −0.255364 + 0.214276i −0.761478 0.648191i \(-0.775526\pi\)
0.506114 + 0.862466i \(0.331081\pi\)
\(692\) 0.00243139 0.00421129i 9.24275e−5 0.000160089i
\(693\) −36.0119 + 28.4099i −1.36798 + 1.07920i
\(694\) 19.9539 + 34.5612i 0.757440 + 1.31192i
\(695\) 18.0371 + 6.56497i 0.684186 + 0.249023i
\(696\) 35.3411 + 18.1005i 1.33960 + 0.686098i
\(697\) −27.2438 22.8603i −1.03193 0.865895i
\(698\) 1.23633 7.01156i 0.0467957 0.265392i
\(699\) −8.34566 + 11.0269i −0.315662 + 0.417077i
\(700\) −0.140894 + 0.0312612i −0.00532529 + 0.00118156i
\(701\) −9.63663 −0.363970 −0.181985 0.983301i \(-0.558252\pi\)
−0.181985 + 0.983301i \(0.558252\pi\)
\(702\) 0.00745506 + 0.0490626i 0.000281373 + 0.00185175i
\(703\) 0.125485 0.217347i 0.00473277 0.00819739i
\(704\) 35.2373 29.5676i 1.32806 1.11437i
\(705\) 17.5553 23.1955i 0.661173 0.873593i
\(706\) 14.2556 + 11.9619i 0.536518 + 0.450192i
\(707\) −24.9578 + 32.5374i −0.938635 + 1.22370i
\(708\) −0.0777731 + 0.0502752i −0.00292289 + 0.00188946i
\(709\) 33.5168 + 12.1991i 1.25875 + 0.458148i 0.883349 0.468715i \(-0.155283\pi\)
0.375401 + 0.926863i \(0.377505\pi\)
\(710\) −32.1020 −1.20477
\(711\) −5.52289 + 2.66511i −0.207124 + 0.0999495i
\(712\) 31.8229 1.19261
\(713\) 5.84448 + 33.1457i 0.218878 + 1.24132i
\(714\) −20.2009 + 20.4778i −0.755999 + 0.766361i
\(715\) −0.118387 + 0.0430892i −0.00442741 + 0.00161145i
\(716\) 0.202652 + 0.170046i 0.00757348 + 0.00635490i
\(717\) 20.1573 4.60924i 0.752789 0.172135i
\(718\) 3.60221 + 1.31110i 0.134433 + 0.0489297i
\(719\) 12.2923 0.458426 0.229213 0.973376i \(-0.426385\pi\)
0.229213 + 0.973376i \(0.426385\pi\)
\(720\) 37.8278 + 9.60002i 1.40976 + 0.357772i
\(721\) −30.3144 15.7740i −1.12897 0.587454i
\(722\) −16.2988 + 13.6763i −0.606577 + 0.508978i
\(723\) 0.290599 + 5.77642i 0.0108075 + 0.214827i
\(724\) 0.0249416 + 0.0209285i 0.000926948 + 0.000777802i
\(725\) −41.7887 + 15.2099i −1.55199 + 0.564880i
\(726\) −21.3827 50.6694i −0.793588 1.88052i
\(727\) 49.4183 + 17.9868i 1.83282 + 0.667094i 0.992072 + 0.125674i \(0.0401095\pi\)
0.840753 + 0.541419i \(0.182113\pi\)
\(728\) 0.00220214 + 0.0502364i 8.16167e−5 + 0.00186188i
\(729\) 19.8363 + 18.3172i 0.734678 + 0.678416i
\(730\) −2.27469 3.93988i −0.0841901 0.145821i
\(731\) −10.4750 + 8.78956i −0.387432 + 0.325094i
\(732\) 0.0331328 0.0437777i 0.00122462 0.00161807i
\(733\) 4.72845 26.8164i 0.174649 0.990486i −0.763898 0.645336i \(-0.776717\pi\)
0.938548 0.345149i \(-0.112172\pi\)
\(734\) 2.66871 15.1350i 0.0985040 0.558644i
\(735\) −36.3541 14.7619i −1.34094 0.544500i
\(736\) 0.244158 0.204873i 0.00899979 0.00755172i
\(737\) −10.0416 + 17.3926i −0.369888 + 0.640665i
\(738\) 23.8352 24.4761i 0.877387 0.900977i
\(739\) −14.1632 24.5314i −0.521002 0.902401i −0.999702 0.0244229i \(-0.992225\pi\)
0.478700 0.877979i \(-0.341108\pi\)
\(740\) −0.00310341 + 0.00260407i −0.000114084 + 9.57275e-5i
\(741\) 0.0158644 + 0.0170841i 0.000582794 + 0.000627601i
\(742\) 4.88307 + 11.7830i 0.179263 + 0.432566i
\(743\) 31.7652 11.5616i 1.16535 0.424154i 0.314346 0.949308i \(-0.398215\pi\)
0.851007 + 0.525155i \(0.175993\pi\)
\(744\) −28.3617 + 6.48527i −1.03979 + 0.237761i
\(745\) 20.1856 + 7.34696i 0.739544 + 0.269172i
\(746\) −3.77303 6.53508i −0.138141 0.239266i
\(747\) 0.998691 13.4708i 0.0365402 0.492871i
\(748\) −0.127506 0.220847i −0.00466209 0.00807498i
\(749\) −6.58274 + 20.8905i −0.240528 + 0.763322i
\(750\) −3.15666 + 2.04057i −0.115265 + 0.0745111i
\(751\) 51.4079 18.7109i 1.87590 0.682772i 0.917135 0.398578i \(-0.130496\pi\)
0.958767 0.284195i \(-0.0917262\pi\)
\(752\) 19.6038 7.13519i 0.714876 0.260194i
\(753\) −0.413729 0.0516793i −0.0150771 0.00188330i
\(754\) −0.0134755 0.0764232i −0.000490748 0.00278317i
\(755\) −12.8683 −0.468326
\(756\) −0.0901637 0.103175i −0.00327922 0.00375243i
\(757\) −8.90458 −0.323642 −0.161821 0.986820i \(-0.551737\pi\)
−0.161821 + 0.986820i \(0.551737\pi\)
\(758\) 0.327850 + 1.85933i 0.0119081 + 0.0675339i
\(759\) 22.0005 + 52.1332i 0.798567 + 1.89232i
\(760\) 17.1436 6.23977i 0.621865 0.226340i
\(761\) 25.2244 9.18092i 0.914383 0.332808i 0.158381 0.987378i \(-0.449372\pi\)
0.756002 + 0.654570i \(0.227150\pi\)
\(762\) −1.84951 36.7639i −0.0670007 1.33181i
\(763\) −9.31618 + 2.06705i −0.337268 + 0.0748323i
\(764\) −0.0423839 0.0734111i −0.00153340 0.00265592i
\(765\) −17.6478 + 39.1949i −0.638058 + 1.41710i
\(766\) 0.588631 + 1.01954i 0.0212681 + 0.0368374i
\(767\)