Properties

Label 799.2.k.a.494.10
Level $799$
Weight $2$
Character 799.494
Analytic conductor $6.380$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [799,2,Mod(18,799)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(799, base_ring=CyclotomicField(46))
 
chi = DirichletCharacter(H, H._module([0, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("799.18");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 799 = 17 \cdot 47 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 799.k (of order \(23\), degree \(22\), 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: \(6.38004712150\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(32\) over \(\Q(\zeta_{23})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{23}]$

Embedding invariants

Embedding label 494.10
Character \(\chi\) \(=\) 799.494
Dual form 799.2.k.a.613.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.25553 + 0.172568i) q^{2} +(-1.94457 - 1.18252i) q^{3} +(-0.379263 + 0.106265i) q^{4} +(0.650126 - 1.82928i) q^{5} +(2.64553 + 1.14912i) q^{6} +(0.0290669 + 0.424943i) q^{7} +(2.78266 - 1.20868i) q^{8} +(1.00281 + 1.93533i) q^{9} +O(q^{10})\) \(q+(-1.25553 + 0.172568i) q^{2} +(-1.94457 - 1.18252i) q^{3} +(-0.379263 + 0.106265i) q^{4} +(0.650126 - 1.82928i) q^{5} +(2.64553 + 1.14912i) q^{6} +(0.0290669 + 0.424943i) q^{7} +(2.78266 - 1.20868i) q^{8} +(1.00281 + 1.93533i) q^{9} +(-0.500576 + 2.40890i) q^{10} +(0.293292 + 0.314039i) q^{11} +(0.863165 + 0.241847i) q^{12} +(-2.77126 + 3.92598i) q^{13} +(-0.109826 - 0.528512i) q^{14} +(-3.42737 + 2.78838i) q^{15} +(-2.61207 + 1.58844i) q^{16} +(0.682553 - 0.730836i) q^{17} +(-1.59303 - 2.25681i) q^{18} +(0.944025 + 2.65623i) q^{19} +(-0.0521813 + 0.762864i) q^{20} +(0.445981 - 0.860705i) q^{21} +(-0.422430 - 0.343672i) q^{22} +(1.02382 + 0.140721i) q^{23} +(-6.84037 - 0.940187i) q^{24} +(0.954960 + 0.776918i) q^{25} +(2.80189 - 5.40741i) q^{26} +(-0.127401 + 1.86254i) q^{27} +(-0.0561805 - 0.158077i) q^{28} +(-2.25386 - 3.19299i) q^{29} +(3.82198 - 4.09234i) q^{30} +(-5.88688 + 3.57989i) q^{31} +(-1.70133 + 1.38414i) q^{32} +(-0.198970 - 0.957496i) q^{33} +(-0.730846 + 1.03537i) q^{34} +(0.796237 + 0.223095i) q^{35} +(-0.585986 - 0.627438i) q^{36} +(0.305251 - 1.46895i) q^{37} +(-1.64363 - 3.17207i) q^{38} +(10.0315 - 4.35727i) q^{39} +(-0.401933 - 5.87606i) q^{40} +(0.821387 + 0.356779i) q^{41} +(-0.411412 + 1.15760i) q^{42} +(4.62228 - 1.29510i) q^{43} +(-0.144606 - 0.0879370i) q^{44} +(4.19221 - 0.576206i) q^{45} -1.30972 q^{46} +(5.89950 - 3.49226i) q^{47} +6.95771 q^{48} +(6.75507 - 0.928463i) q^{49} +(-1.33305 - 0.810646i) q^{50} +(-2.19150 + 0.614030i) q^{51} +(0.633844 - 1.78347i) q^{52} +(11.8992 + 5.16855i) q^{53} +(-0.161460 - 2.36046i) q^{54} +(0.765142 - 0.332348i) q^{55} +(0.594504 + 1.14734i) q^{56} +(1.30532 - 6.28156i) q^{57} +(3.38080 + 3.61995i) q^{58} +(5.10254 + 1.42967i) q^{59} +(1.00357 - 1.42174i) q^{60} +(1.47632 + 7.10443i) q^{61} +(6.77337 - 5.51054i) q^{62} +(-0.793258 + 0.482391i) q^{63} +(6.07052 - 6.49994i) q^{64} +(5.38004 + 7.62178i) q^{65} +(0.415046 + 1.16783i) q^{66} +(0.278453 - 4.07084i) q^{67} +(-0.181205 + 0.349711i) q^{68} +(-1.82449 - 1.48433i) q^{69} +(-1.03820 - 0.142697i) q^{70} +(-10.7187 - 1.47325i) q^{71} +(5.12967 + 4.17330i) q^{72} +(7.39785 - 14.2772i) q^{73} +(-0.129757 + 1.89698i) q^{74} +(-0.938267 - 2.64003i) q^{75} +(-0.640298 - 0.907095i) q^{76} +(-0.124924 + 0.133761i) q^{77} +(-11.8428 + 7.20179i) q^{78} +(-3.07309 + 2.50014i) q^{79} +(1.20752 + 5.81089i) q^{80} +(6.22122 - 8.81347i) q^{81} +(-1.09284 - 0.306200i) q^{82} +(6.74020 + 7.21700i) q^{83} +(-0.0776819 + 0.373826i) q^{84} +(-0.893157 - 1.72372i) q^{85} +(-5.57991 + 2.42370i) q^{86} +(0.607015 + 8.87424i) q^{87} +(1.19571 + 0.519369i) q^{88} +(1.29965 - 3.65686i) q^{89} +(-5.16401 + 1.44689i) q^{90} +(-1.74887 - 1.06351i) q^{91} +(-0.403252 + 0.0554257i) q^{92} +15.6808 q^{93} +(-6.80434 + 5.40269i) q^{94} +5.47272 q^{95} +(4.94514 - 0.679693i) q^{96} +(-9.34890 - 5.68519i) q^{97} +(-8.32096 + 2.33142i) q^{98} +(-0.313655 + 0.882540i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 2 q^{3} - 32 q^{4} - 6 q^{5} - 10 q^{6} + 21 q^{7} - 24 q^{8} - 42 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 704 q - 2 q^{3} - 32 q^{4} - 6 q^{5} - 10 q^{6} + 21 q^{7} - 24 q^{8} - 42 q^{9} - 36 q^{10} - 12 q^{11} - 40 q^{12} - 12 q^{13} - 30 q^{14} - 34 q^{15} - 48 q^{16} - 32 q^{17} - 6 q^{18} - 12 q^{19} - 26 q^{20} - 32 q^{21} - 28 q^{22} - 30 q^{23} - 24 q^{24} - 42 q^{25} - 46 q^{26} - 56 q^{27} - 14 q^{28} - 44 q^{29} + 136 q^{30} - 44 q^{31} - 48 q^{32} - 28 q^{33} - 46 q^{35} - 42 q^{36} - 24 q^{37} + 520 q^{38} - 11 q^{39} + 50 q^{40} + 31 q^{41} - 94 q^{42} - 35 q^{43} - 68 q^{44} - 110 q^{45} + 280 q^{46} - 17 q^{47} - 128 q^{48} - 59 q^{49} + 20 q^{50} - 2 q^{51} - 84 q^{52} - 11 q^{53} + 415 q^{54} - 17 q^{55} - 18 q^{56} - 37 q^{57} - 40 q^{58} - 54 q^{59} - 128 q^{60} - 66 q^{61} + 96 q^{62} - 74 q^{63} - 124 q^{64} - 52 q^{65} - 68 q^{66} - 56 q^{67} - 32 q^{68} + 4 q^{69} + 514 q^{70} - 42 q^{71} - 130 q^{72} - 62 q^{73} - 110 q^{74} - 80 q^{75} - 186 q^{76} + 450 q^{77} - 82 q^{78} - 64 q^{79} - 164 q^{80} + 18 q^{81} + 57 q^{82} - 56 q^{83} - 38 q^{84} - 6 q^{85} + 72 q^{86} - 42 q^{87} - 178 q^{88} - 56 q^{89} + 94 q^{90} + 110 q^{91} + 31 q^{92} + 290 q^{93} - 136 q^{94} - 96 q^{95} - 188 q^{96} - 74 q^{97} - 11 q^{98} + 68 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/799\mathbb{Z}\right)^\times\).

\(n\) \(52\) \(377\)
\(\chi(n)\) \(e\left(\frac{14}{23}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25553 + 0.172568i −0.887793 + 0.122024i −0.565629 0.824660i \(-0.691367\pi\)
−0.322163 + 0.946684i \(0.604410\pi\)
\(3\) −1.94457 1.18252i −1.12270 0.682728i −0.169638 0.985507i \(-0.554260\pi\)
−0.953061 + 0.302778i \(0.902086\pi\)
\(4\) −0.379263 + 0.106265i −0.189632 + 0.0531323i
\(5\) 0.650126 1.82928i 0.290745 0.818078i −0.703475 0.710720i \(-0.748369\pi\)
0.994220 0.107358i \(-0.0342393\pi\)
\(6\) 2.64553 + 1.14912i 1.08003 + 0.469124i
\(7\) 0.0290669 + 0.424943i 0.0109863 + 0.160613i 0.999925 + 0.0122858i \(0.00391078\pi\)
−0.988938 + 0.148328i \(0.952611\pi\)
\(8\) 2.78266 1.20868i 0.983819 0.427333i
\(9\) 1.00281 + 1.93533i 0.334269 + 0.645111i
\(10\) −0.500576 + 2.40890i −0.158296 + 0.761762i
\(11\) 0.293292 + 0.314039i 0.0884310 + 0.0946865i 0.773516 0.633776i \(-0.218496\pi\)
−0.685085 + 0.728463i \(0.740235\pi\)
\(12\) 0.863165 + 0.241847i 0.249174 + 0.0698153i
\(13\) −2.77126 + 3.92598i −0.768608 + 1.08887i 0.224818 + 0.974401i \(0.427821\pi\)
−0.993427 + 0.114469i \(0.963483\pi\)
\(14\) −0.109826 0.528512i −0.0293523 0.141251i
\(15\) −3.42737 + 2.78838i −0.884944 + 0.719955i
\(16\) −2.61207 + 1.58844i −0.653018 + 0.397109i
\(17\) 0.682553 0.730836i 0.165543 0.177254i
\(18\) −1.59303 2.25681i −0.375481 0.531936i
\(19\) 0.944025 + 2.65623i 0.216574 + 0.609381i 0.999926 0.0121977i \(-0.00388274\pi\)
−0.783351 + 0.621579i \(0.786491\pi\)
\(20\) −0.0521813 + 0.762864i −0.0116681 + 0.170581i
\(21\) 0.445981 0.860705i 0.0973211 0.187821i
\(22\) −0.422430 0.343672i −0.0900624 0.0732712i
\(23\) 1.02382 + 0.140721i 0.213482 + 0.0293424i 0.242115 0.970248i \(-0.422159\pi\)
−0.0286332 + 0.999590i \(0.509115\pi\)
\(24\) −6.84037 0.940187i −1.39628 0.191915i
\(25\) 0.954960 + 0.776918i 0.190992 + 0.155384i
\(26\) 2.80189 5.40741i 0.549496 1.06048i
\(27\) −0.127401 + 1.86254i −0.0245184 + 0.358447i
\(28\) −0.0561805 0.158077i −0.0106171 0.0298737i
\(29\) −2.25386 3.19299i −0.418532 0.592924i 0.552016 0.833834i \(-0.313859\pi\)
−0.970548 + 0.240909i \(0.922554\pi\)
\(30\) 3.82198 4.09234i 0.697795 0.747156i
\(31\) −5.88688 + 3.57989i −1.05732 + 0.642968i −0.936843 0.349749i \(-0.886267\pi\)
−0.120472 + 0.992717i \(0.538441\pi\)
\(32\) −1.70133 + 1.38414i −0.300756 + 0.244683i
\(33\) −0.198970 0.957496i −0.0346362 0.166679i
\(34\) −0.730846 + 1.03537i −0.125339 + 0.177565i
\(35\) 0.796237 + 0.223095i 0.134589 + 0.0377100i
\(36\) −0.585986 0.627438i −0.0976643 0.104573i
\(37\) 0.305251 1.46895i 0.0501830 0.241494i −0.946518 0.322650i \(-0.895426\pi\)
0.996701 + 0.0811560i \(0.0258612\pi\)
\(38\) −1.64363 3.17207i −0.266632 0.514577i
\(39\) 10.0315 4.35727i 1.60632 0.697722i
\(40\) −0.401933 5.87606i −0.0635512 0.929086i
\(41\) 0.821387 + 0.356779i 0.128279 + 0.0557195i 0.461565 0.887106i \(-0.347288\pi\)
−0.333286 + 0.942826i \(0.608158\pi\)
\(42\) −0.411412 + 1.15760i −0.0634822 + 0.178622i
\(43\) 4.62228 1.29510i 0.704891 0.197501i 0.101371 0.994849i \(-0.467677\pi\)
0.603521 + 0.797347i \(0.293764\pi\)
\(44\) −0.144606 0.0879370i −0.0218002 0.0132570i
\(45\) 4.19221 0.576206i 0.624938 0.0858958i
\(46\) −1.30972 −0.193108
\(47\) 5.89950 3.49226i 0.860531 0.509398i
\(48\) 6.95771 1.00426
\(49\) 6.75507 0.928463i 0.965010 0.132638i
\(50\) −1.33305 0.810646i −0.188522 0.114643i
\(51\) −2.19150 + 0.614030i −0.306872 + 0.0859814i
\(52\) 0.633844 1.78347i 0.0878983 0.247322i
\(53\) 11.8992 + 5.16855i 1.63448 + 0.709955i 0.998111 0.0614290i \(-0.0195658\pi\)
0.636370 + 0.771384i \(0.280435\pi\)
\(54\) −0.161460 2.36046i −0.0219719 0.321218i
\(55\) 0.765142 0.332348i 0.103172 0.0448138i
\(56\) 0.594504 + 1.14734i 0.0794439 + 0.153320i
\(57\) 1.30532 6.28156i 0.172894 0.832013i
\(58\) 3.38080 + 3.61995i 0.443920 + 0.475323i
\(59\) 5.10254 + 1.42967i 0.664294 + 0.186127i 0.585385 0.810755i \(-0.300943\pi\)
0.0789092 + 0.996882i \(0.474856\pi\)
\(60\) 1.00357 1.42174i 0.129561 0.183545i
\(61\) 1.47632 + 7.10443i 0.189023 + 0.909629i 0.961546 + 0.274643i \(0.0885595\pi\)
−0.772523 + 0.634986i \(0.781006\pi\)
\(62\) 6.77337 5.51054i 0.860219 0.699840i
\(63\) −0.793258 + 0.482391i −0.0999411 + 0.0607755i
\(64\) 6.07052 6.49994i 0.758815 0.812493i
\(65\) 5.38004 + 7.62178i 0.667312 + 0.945365i
\(66\) 0.415046 + 1.16783i 0.0510886 + 0.143750i
\(67\) 0.278453 4.07084i 0.0340184 0.497332i −0.949173 0.314755i \(-0.898078\pi\)
0.983191 0.182577i \(-0.0584440\pi\)
\(68\) −0.181205 + 0.349711i −0.0219744 + 0.0424086i
\(69\) −1.82449 1.48433i −0.219643 0.178693i
\(70\) −1.03820 0.142697i −0.124088 0.0170555i
\(71\) −10.7187 1.47325i −1.27207 0.174842i −0.531639 0.846971i \(-0.678424\pi\)
−0.740434 + 0.672129i \(0.765380\pi\)
\(72\) 5.12967 + 4.17330i 0.604538 + 0.491828i
\(73\) 7.39785 14.2772i 0.865853 1.67102i 0.132489 0.991184i \(-0.457703\pi\)
0.733364 0.679836i \(-0.237949\pi\)
\(74\) −0.129757 + 1.89698i −0.0150840 + 0.220520i
\(75\) −0.938267 2.64003i −0.108342 0.304845i
\(76\) −0.640298 0.907095i −0.0734472 0.104051i
\(77\) −0.124924 + 0.133761i −0.0142364 + 0.0152435i
\(78\) −11.8428 + 7.20179i −1.34094 + 0.815442i
\(79\) −3.07309 + 2.50014i −0.345750 + 0.281288i −0.788091 0.615558i \(-0.788930\pi\)
0.442342 + 0.896847i \(0.354148\pi\)
\(80\) 1.20752 + 5.81089i 0.135004 + 0.649677i
\(81\) 6.22122 8.81347i 0.691247 0.979274i
\(82\) −1.09284 0.306200i −0.120684 0.0338142i
\(83\) 6.74020 + 7.21700i 0.739834 + 0.792168i 0.984114 0.177536i \(-0.0568127\pi\)
−0.244281 + 0.969705i \(0.578552\pi\)
\(84\) −0.0776819 + 0.373826i −0.00847579 + 0.0407877i
\(85\) −0.893157 1.72372i −0.0968765 0.186963i
\(86\) −5.57991 + 2.42370i −0.601697 + 0.261354i
\(87\) 0.607015 + 8.87424i 0.0650788 + 0.951419i
\(88\) 1.19571 + 0.519369i 0.127463 + 0.0553649i
\(89\) 1.29965 3.65686i 0.137762 0.387626i −0.853232 0.521532i \(-0.825361\pi\)
0.990994 + 0.133906i \(0.0427519\pi\)
\(90\) −5.16401 + 1.44689i −0.544334 + 0.152515i
\(91\) −1.74887 1.06351i −0.183331 0.111486i
\(92\) −0.403252 + 0.0554257i −0.0420419 + 0.00577853i
\(93\) 15.6808 1.62602
\(94\) −6.80434 + 5.40269i −0.701814 + 0.557245i
\(95\) 5.47272 0.561490
\(96\) 4.94514 0.679693i 0.504711 0.0693709i
\(97\) −9.34890 5.68519i −0.949237 0.577244i −0.0425713 0.999093i \(-0.513555\pi\)
−0.906666 + 0.421850i \(0.861381\pi\)
\(98\) −8.32096 + 2.33142i −0.840544 + 0.235509i
\(99\) −0.313655 + 0.882540i −0.0315235 + 0.0886986i
\(100\) −0.444740 0.193178i −0.0444740 0.0193178i
\(101\) −1.16510 17.0332i −0.115932 1.69487i −0.584464 0.811420i \(-0.698695\pi\)
0.468532 0.883447i \(-0.344783\pi\)
\(102\) 2.64553 1.14912i 0.261946 0.113779i
\(103\) 5.61461 + 10.8357i 0.553224 + 1.06767i 0.986089 + 0.166216i \(0.0531548\pi\)
−0.432865 + 0.901459i \(0.642497\pi\)
\(104\) −2.96622 + 14.2742i −0.290862 + 1.39970i
\(105\) −1.28452 1.37539i −0.125357 0.134224i
\(106\) −15.8317 4.43584i −1.53771 0.430847i
\(107\) 1.70131 2.41021i 0.164472 0.233004i −0.726384 0.687289i \(-0.758801\pi\)
0.890857 + 0.454285i \(0.150105\pi\)
\(108\) −0.149604 0.719933i −0.0143956 0.0692756i
\(109\) 0.105626 0.0859333i 0.0101172 0.00823091i −0.626016 0.779810i \(-0.715316\pi\)
0.636133 + 0.771579i \(0.280533\pi\)
\(110\) −0.903305 + 0.549312i −0.0861268 + 0.0523748i
\(111\) −2.33064 + 2.49551i −0.221215 + 0.236863i
\(112\) −0.750920 1.06381i −0.0709553 0.100521i
\(113\) 4.24612 + 11.9474i 0.399441 + 1.12392i 0.956065 + 0.293155i \(0.0947051\pi\)
−0.556624 + 0.830765i \(0.687904\pi\)
\(114\) −0.554872 + 8.11193i −0.0519685 + 0.759752i
\(115\) 0.923031 1.78137i 0.0860731 0.166113i
\(116\) 1.19411 + 0.971480i 0.110870 + 0.0901997i
\(117\) −10.3771 1.42630i −0.959364 0.131862i
\(118\) −6.65310 0.914448i −0.612468 0.0841817i
\(119\) 0.330404 + 0.268803i 0.0302880 + 0.0246412i
\(120\) −6.16696 + 11.9017i −0.562964 + 1.08647i
\(121\) 0.738066 10.7901i 0.0670969 0.980922i
\(122\) −3.07956 8.66505i −0.278810 0.784496i
\(123\) −1.17535 1.66509i −0.105978 0.150136i
\(124\) 1.85226 1.98329i 0.166338 0.178105i
\(125\) 10.3358 6.28532i 0.924459 0.562176i
\(126\) 0.912712 0.742547i 0.0813109 0.0661513i
\(127\) −0.228812 1.10110i −0.0203037 0.0977069i 0.967713 0.252056i \(-0.0811067\pi\)
−0.988016 + 0.154349i \(0.950672\pi\)
\(128\) −3.97041 + 5.62479i −0.350938 + 0.497166i
\(129\) −10.5198 2.94752i −0.926220 0.259515i
\(130\) −8.07007 8.64093i −0.707792 0.757860i
\(131\) −4.01916 + 19.3412i −0.351155 + 1.68985i 0.319100 + 0.947721i \(0.396619\pi\)
−0.670255 + 0.742131i \(0.733815\pi\)
\(132\) 0.177210 + 0.342000i 0.0154241 + 0.0297673i
\(133\) −1.10131 + 0.478366i −0.0954955 + 0.0414796i
\(134\) 0.352892 + 5.15910i 0.0304853 + 0.445679i
\(135\) 3.32428 + 1.44394i 0.286109 + 0.124275i
\(136\) 1.01597 2.85866i 0.0871184 0.245128i
\(137\) 9.09533 2.54839i 0.777067 0.217724i 0.141674 0.989913i \(-0.454751\pi\)
0.635392 + 0.772190i \(0.280838\pi\)
\(138\) 2.54685 + 1.54877i 0.216802 + 0.131840i
\(139\) −4.82290 + 0.662893i −0.409073 + 0.0562258i −0.337770 0.941229i \(-0.609672\pi\)
−0.0713037 + 0.997455i \(0.522716\pi\)
\(140\) −0.325691 −0.0275259
\(141\) −15.6017 0.185338i −1.31390 0.0156083i
\(142\) 13.7118 1.15067
\(143\) −2.04570 + 0.281175i −0.171070 + 0.0235130i
\(144\) −5.69356 3.46233i −0.474463 0.288527i
\(145\) −7.30617 + 2.04709i −0.606744 + 0.170002i
\(146\) −6.82442 + 19.2021i −0.564793 + 1.58917i
\(147\) −14.2336 6.18254i −1.17397 0.509927i
\(148\) 0.0403267 + 0.589556i 0.00331484 + 0.0484612i
\(149\) −6.07096 + 2.63699i −0.497353 + 0.216031i −0.632155 0.774842i \(-0.717830\pi\)
0.134803 + 0.990872i \(0.456960\pi\)
\(150\) 1.63361 + 3.15272i 0.133383 + 0.257418i
\(151\) −1.20049 + 5.77705i −0.0976941 + 0.470130i 0.901600 + 0.432570i \(0.142393\pi\)
−0.999294 + 0.0375598i \(0.988042\pi\)
\(152\) 5.83744 + 6.25037i 0.473479 + 0.506972i
\(153\) 2.09888 + 0.588079i 0.169684 + 0.0475433i
\(154\) 0.133763 0.189498i 0.0107789 0.0152702i
\(155\) 2.72141 + 13.0961i 0.218589 + 1.05191i
\(156\) −3.34154 + 2.71854i −0.267537 + 0.217658i
\(157\) 2.97011 1.80617i 0.237041 0.144148i −0.396040 0.918233i \(-0.629616\pi\)
0.633081 + 0.774085i \(0.281790\pi\)
\(158\) 3.42690 3.66932i 0.272630 0.291915i
\(159\) −17.0269 24.1217i −1.35032 1.91297i
\(160\) 1.42589 + 4.01208i 0.112727 + 0.317183i
\(161\) −0.0300391 + 0.439157i −0.00236742 + 0.0346104i
\(162\) −6.29000 + 12.1391i −0.494189 + 0.953741i
\(163\) −4.42323 3.59856i −0.346454 0.281861i 0.441924 0.897053i \(-0.354296\pi\)
−0.788378 + 0.615191i \(0.789079\pi\)
\(164\) −0.349435 0.0480287i −0.0272863 0.00375041i
\(165\) −1.88088 0.258521i −0.146426 0.0201259i
\(166\) −9.70794 7.89800i −0.753482 0.613003i
\(167\) −4.07170 + 7.85802i −0.315077 + 0.608072i −0.991746 0.128216i \(-0.959075\pi\)
0.676669 + 0.736287i \(0.263423\pi\)
\(168\) 0.200698 2.93410i 0.0154842 0.226371i
\(169\) −3.37999 9.51039i −0.260000 0.731569i
\(170\) 1.41884 + 2.01004i 0.108820 + 0.154163i
\(171\) −4.19402 + 4.49069i −0.320724 + 0.343412i
\(172\) −1.61544 + 0.982370i −0.123176 + 0.0749050i
\(173\) 4.37814 3.56188i 0.332864 0.270805i −0.449959 0.893049i \(-0.648562\pi\)
0.782823 + 0.622244i \(0.213779\pi\)
\(174\) −2.29354 11.0371i −0.173873 0.836721i
\(175\) −0.302388 + 0.428387i −0.0228584 + 0.0323830i
\(176\) −1.26493 0.354417i −0.0953478 0.0267152i
\(177\) −8.23165 8.81394i −0.618729 0.662497i
\(178\) −1.00069 + 4.81557i −0.0750047 + 0.360942i
\(179\) 3.27694 + 6.32421i 0.244930 + 0.472694i 0.978316 0.207119i \(-0.0664088\pi\)
−0.733386 + 0.679813i \(0.762061\pi\)
\(180\) −1.52872 + 0.664018i −0.113944 + 0.0494930i
\(181\) 0.829719 + 12.1301i 0.0616725 + 0.901621i 0.920844 + 0.389932i \(0.127502\pi\)
−0.859171 + 0.511688i \(0.829020\pi\)
\(182\) 2.37928 + 1.03347i 0.176364 + 0.0766058i
\(183\) 5.53032 15.5608i 0.408813 1.15029i
\(184\) 3.01904 0.845894i 0.222566 0.0623601i
\(185\) −2.48866 1.51339i −0.182970 0.111267i
\(186\) −19.6876 + 2.70600i −1.44357 + 0.198414i
\(187\) 0.429699 0.0314227
\(188\) −1.86636 + 1.95139i −0.136118 + 0.142320i
\(189\) −0.795179 −0.0578407
\(190\) −6.87116 + 0.944419i −0.498486 + 0.0685154i
\(191\) 6.83842 + 4.15853i 0.494810 + 0.300901i 0.744730 0.667366i \(-0.232578\pi\)
−0.249920 + 0.968267i \(0.580404\pi\)
\(192\) −19.4909 + 5.46108i −1.40663 + 0.394120i
\(193\) 6.99717 19.6881i 0.503667 1.41718i −0.369257 0.929327i \(-0.620388\pi\)
0.872924 0.487856i \(-0.162221\pi\)
\(194\) 12.7189 + 5.52460i 0.913163 + 0.396643i
\(195\) −1.44896 21.1831i −0.103762 1.51695i
\(196\) −2.46329 + 1.06996i −0.175949 + 0.0764255i
\(197\) 4.58509 + 8.84882i 0.326674 + 0.630452i 0.993381 0.114868i \(-0.0366445\pi\)
−0.666707 + 0.745320i \(0.732297\pi\)
\(198\) 0.241504 1.16218i 0.0171629 0.0825925i
\(199\) −2.49870 2.67545i −0.177128 0.189658i 0.636094 0.771612i \(-0.280549\pi\)
−0.813222 + 0.581954i \(0.802288\pi\)
\(200\) 3.59638 + 1.00766i 0.254302 + 0.0712521i
\(201\) −5.35532 + 7.58676i −0.377735 + 0.535129i
\(202\) 4.40221 + 21.1846i 0.309738 + 1.49054i
\(203\) 1.29133 1.05057i 0.0906335 0.0737359i
\(204\) 0.765906 0.465758i 0.0536242 0.0326096i
\(205\) 1.18665 1.27059i 0.0828794 0.0887422i
\(206\) −8.91921 12.6356i −0.621431 0.880367i
\(207\) 0.754355 + 2.12255i 0.0524313 + 0.147528i
\(208\) 1.00256 14.6569i 0.0695149 1.01627i
\(209\) −0.557286 + 1.07551i −0.0385483 + 0.0743948i
\(210\) 1.85011 + 1.50517i 0.127669 + 0.103867i
\(211\) 19.6441 + 2.70002i 1.35236 + 0.185877i 0.775696 0.631107i \(-0.217399\pi\)
0.576660 + 0.816984i \(0.304356\pi\)
\(212\) −5.06217 0.695779i −0.347671 0.0477863i
\(213\) 19.1011 + 15.5399i 1.30879 + 1.06478i
\(214\) −1.72012 + 3.31968i −0.117585 + 0.226929i
\(215\) 0.635961 9.29742i 0.0433722 0.634079i
\(216\) 1.89670 + 5.33682i 0.129054 + 0.363124i
\(217\) −1.69236 2.39753i −0.114885 0.162755i
\(218\) −0.117787 + 0.126119i −0.00797756 + 0.00854188i
\(219\) −31.2687 + 19.0149i −2.11294 + 1.28491i
\(220\) −0.254874 + 0.207355i −0.0171836 + 0.0139799i
\(221\) 0.977715 + 4.70502i 0.0657682 + 0.316494i
\(222\) 2.49554 3.53538i 0.167490 0.237279i
\(223\) −4.05337 1.13570i −0.271434 0.0760522i 0.131387 0.991331i \(-0.458057\pi\)
−0.402821 + 0.915279i \(0.631970\pi\)
\(224\) −0.637633 0.682738i −0.0426036 0.0456173i
\(225\) −0.545952 + 2.62727i −0.0363968 + 0.175151i
\(226\) −7.39287 14.2676i −0.491766 0.949066i
\(227\) 25.4357 11.0483i 1.68823 0.733300i 0.688257 0.725467i \(-0.258376\pi\)
0.999969 0.00783363i \(-0.00249355\pi\)
\(228\) 0.172446 + 2.52108i 0.0114205 + 0.166962i
\(229\) 14.5611 + 6.32476i 0.962222 + 0.417952i 0.820305 0.571927i \(-0.193804\pi\)
0.141917 + 0.989879i \(0.454673\pi\)
\(230\) −0.851483 + 2.39584i −0.0561451 + 0.157977i
\(231\) 0.401098 0.112382i 0.0263903 0.00739422i
\(232\) −10.1310 6.16082i −0.665136 0.404478i
\(233\) 22.3033 3.06551i 1.46114 0.200828i 0.638598 0.769540i \(-0.279515\pi\)
0.822537 + 0.568712i \(0.192558\pi\)
\(234\) 13.2749 0.867807
\(235\) −2.55289 13.0622i −0.166532 0.852087i
\(236\) −2.08713 −0.135861
\(237\) 8.93231 1.22772i 0.580216 0.0797488i
\(238\) −0.461218 0.280473i −0.0298963 0.0181804i
\(239\) −22.9984 + 6.44386i −1.48765 + 0.416819i −0.915158 0.403095i \(-0.867934\pi\)
−0.572487 + 0.819914i \(0.694021\pi\)
\(240\) 4.52339 12.7276i 0.291983 0.821563i
\(241\) −4.09827 1.78013i −0.263993 0.114668i 0.262258 0.964998i \(-0.415533\pi\)
−0.526250 + 0.850330i \(0.676403\pi\)
\(242\) 0.935375 + 13.6747i 0.0601282 + 0.879043i
\(243\) −17.3827 + 7.55037i −1.11510 + 0.484357i
\(244\) −1.31486 2.53757i −0.0841754 0.162451i
\(245\) 2.69323 12.9605i 0.172064 0.828017i
\(246\) 1.76302 + 1.88774i 0.112406 + 0.120358i
\(247\) −13.0444 3.65488i −0.829998 0.232555i
\(248\) −12.0542 + 17.0770i −0.765446 + 1.08439i
\(249\) −4.57256 22.0044i −0.289775 1.39447i
\(250\) −11.8922 + 9.67503i −0.752129 + 0.611902i
\(251\) −10.1997 + 6.20255i −0.643796 + 0.391501i −0.803198 0.595713i \(-0.796870\pi\)
0.159401 + 0.987214i \(0.449044\pi\)
\(252\) 0.249593 0.267248i 0.0157229 0.0168351i
\(253\) 0.256087 + 0.362793i 0.0161001 + 0.0228086i
\(254\) 0.477295 + 1.34298i 0.0299481 + 0.0842659i
\(255\) −0.301520 + 4.40806i −0.0188819 + 0.276044i
\(256\) −4.16919 + 8.04618i −0.260574 + 0.502886i
\(257\) 4.23414 + 3.44473i 0.264119 + 0.214876i 0.753935 0.656949i \(-0.228153\pi\)
−0.489816 + 0.871826i \(0.662936\pi\)
\(258\) 13.7166 + 1.88530i 0.853959 + 0.117374i
\(259\) 0.633093 + 0.0870166i 0.0393385 + 0.00540695i
\(260\) −2.85038 2.31895i −0.176773 0.143815i
\(261\) 3.91931 7.56393i 0.242599 0.468196i
\(262\) 1.70848 24.9771i 0.105550 1.54309i
\(263\) 4.63030 + 13.0284i 0.285517 + 0.803367i 0.995112 + 0.0987573i \(0.0314867\pi\)
−0.709595 + 0.704610i \(0.751122\pi\)
\(264\) −1.71097 2.42390i −0.105303 0.149180i
\(265\) 17.1907 18.4067i 1.05602 1.13072i
\(266\) 1.30017 0.790653i 0.0797187 0.0484780i
\(267\) −6.85157 + 5.57417i −0.419309 + 0.341133i
\(268\) 0.326979 + 1.57351i 0.0199734 + 0.0961174i
\(269\) −2.07167 + 2.93489i −0.126312 + 0.178944i −0.875212 0.483740i \(-0.839278\pi\)
0.748900 + 0.662683i \(0.230582\pi\)
\(270\) −4.42291 1.23924i −0.269170 0.0754178i
\(271\) −9.43329 10.1006i −0.573032 0.613567i 0.376813 0.926289i \(-0.377020\pi\)
−0.949845 + 0.312722i \(0.898759\pi\)
\(272\) −0.621991 + 2.99319i −0.0377138 + 0.181489i
\(273\) 2.14318 + 4.13615i 0.129711 + 0.250331i
\(274\) −10.9797 + 4.76914i −0.663306 + 0.288115i
\(275\) 0.0360997 + 0.527759i 0.00217690 + 0.0318251i
\(276\) 0.849694 + 0.369074i 0.0511455 + 0.0222156i
\(277\) 0.261999 0.737195i 0.0157420 0.0442937i −0.934130 0.356934i \(-0.883822\pi\)
0.949872 + 0.312640i \(0.101213\pi\)
\(278\) 5.94090 1.66456i 0.356311 0.0998338i
\(279\) −12.8317 7.80313i −0.768213 0.467161i
\(280\) 2.48531 0.341598i 0.148526 0.0204144i
\(281\) −8.29683 −0.494947 −0.247474 0.968895i \(-0.579600\pi\)
−0.247474 + 0.968895i \(0.579600\pi\)
\(282\) 19.6203 2.45966i 1.16837 0.146470i
\(283\) 20.1204 1.19603 0.598016 0.801484i \(-0.295956\pi\)
0.598016 + 0.801484i \(0.295956\pi\)
\(284\) 4.22176 0.580267i 0.250515 0.0344325i
\(285\) −10.6421 6.47160i −0.630384 0.383345i
\(286\) 2.51991 0.706046i 0.149006 0.0417494i
\(287\) −0.127736 + 0.359413i −0.00753999 + 0.0212155i
\(288\) −4.38488 1.90462i −0.258381 0.112231i
\(289\) −0.0682424 0.997669i −0.00401426 0.0586864i
\(290\) 8.81984 3.83100i 0.517919 0.224964i
\(291\) 11.4567 + 22.1105i 0.671607 + 1.29614i
\(292\) −1.28857 + 6.20095i −0.0754080 + 0.362883i
\(293\) 17.0690 + 18.2764i 0.997182 + 1.06772i 0.997704 + 0.0677213i \(0.0215729\pi\)
−0.000522292 1.00000i \(0.500166\pi\)
\(294\) 18.9376 + 5.30608i 1.10447 + 0.309457i
\(295\) 5.93255 8.40451i 0.345406 0.489329i
\(296\) −0.926079 4.45654i −0.0538272 0.259031i
\(297\) −0.622278 + 0.506261i −0.0361082 + 0.0293762i
\(298\) 7.16720 4.35847i 0.415185 0.252480i
\(299\) −3.38974 + 3.62953i −0.196034 + 0.209901i
\(300\) 0.636392 + 0.901563i 0.0367421 + 0.0520517i
\(301\) 0.684701 + 1.92656i 0.0394655 + 0.111045i
\(302\) 0.510307 7.46042i 0.0293649 0.429299i
\(303\) −17.8765 + 34.5000i −1.02698 + 1.98197i
\(304\) −6.68511 5.43874i −0.383418 0.311933i
\(305\) 13.9558 + 1.91818i 0.799105 + 0.109834i
\(306\) −2.73669 0.376149i −0.156446 0.0215030i
\(307\) 11.0659 + 9.00277i 0.631563 + 0.513815i 0.892211 0.451619i \(-0.149153\pi\)
−0.260647 + 0.965434i \(0.583936\pi\)
\(308\) 0.0331650 0.0640056i 0.00188975 0.00364705i
\(309\) 1.89543 27.7102i 0.107827 1.57638i
\(310\) −5.67678 15.9729i −0.322419 0.907201i
\(311\) −0.341187 0.483352i −0.0193469 0.0274084i 0.807181 0.590303i \(-0.200992\pi\)
−0.826528 + 0.562895i \(0.809688\pi\)
\(312\) 22.6476 24.2496i 1.28217 1.37287i
\(313\) −1.12710 + 0.685402i −0.0637072 + 0.0387412i −0.551076 0.834455i \(-0.685783\pi\)
0.487369 + 0.873196i \(0.337957\pi\)
\(314\) −3.41737 + 2.78024i −0.192853 + 0.156898i
\(315\) 0.366710 + 1.76470i 0.0206618 + 0.0994298i
\(316\) 0.899833 1.27477i 0.0506196 0.0717116i
\(317\) −12.2554 3.43380i −0.688331 0.192861i −0.0921903 0.995741i \(-0.529387\pi\)
−0.596140 + 0.802880i \(0.703300\pi\)
\(318\) 25.5404 + 27.3471i 1.43224 + 1.53355i
\(319\) 0.341686 1.64428i 0.0191307 0.0920621i
\(320\) −7.94360 15.3305i −0.444061 0.856998i
\(321\) −6.15844 + 2.67499i −0.343731 + 0.149303i
\(322\) −0.0380696 0.556557i −0.00212153 0.0310157i
\(323\) 2.58562 + 1.12309i 0.143868 + 0.0624905i
\(324\) −1.42292 + 4.00372i −0.0790513 + 0.222429i
\(325\) −5.69660 + 1.59611i −0.315991 + 0.0885364i
\(326\) 6.17449 + 3.75479i 0.341973 + 0.207958i
\(327\) −0.307015 + 0.0421983i −0.0169780 + 0.00233357i
\(328\) 2.71687 0.150014
\(329\) 1.65549 + 2.40545i 0.0912702 + 0.132617i
\(330\) 2.40611 0.132452
\(331\) −0.722420 + 0.0992944i −0.0397078 + 0.00545771i −0.155993 0.987758i \(-0.549858\pi\)
0.116285 + 0.993216i \(0.462901\pi\)
\(332\) −3.32322 2.02090i −0.182386 0.110911i
\(333\) 3.14901 0.882312i 0.172565 0.0483504i
\(334\) 3.75609 10.5686i 0.205524 0.578289i
\(335\) −7.26567 3.15592i −0.396966 0.172427i
\(336\) 0.202239 + 2.95663i 0.0110331 + 0.161298i
\(337\) −24.1918 + 10.5080i −1.31781 + 0.572407i −0.936055 0.351855i \(-0.885551\pi\)
−0.381759 + 0.924262i \(0.624682\pi\)
\(338\) 5.88487 + 11.3573i 0.320095 + 0.617755i
\(339\) 5.87119 28.2537i 0.318879 1.53453i
\(340\) 0.521912 + 0.558831i 0.0283046 + 0.0303069i
\(341\) −2.85080 0.798758i −0.154380 0.0432552i
\(342\) 4.49075 6.36195i 0.242832 0.344015i
\(343\) 1.19751 + 5.76273i 0.0646594 + 0.311158i
\(344\) 11.2969 9.19069i 0.609087 0.495529i
\(345\) −3.90140 + 2.37250i −0.210044 + 0.127731i
\(346\) −4.88221 + 5.22757i −0.262469 + 0.281036i
\(347\) 10.4673 + 14.8288i 0.561915 + 0.796053i 0.994410 0.105584i \(-0.0336710\pi\)
−0.432495 + 0.901636i \(0.642367\pi\)
\(348\) −1.17324 3.30117i −0.0628921 0.176961i
\(349\) −0.870276 + 12.7230i −0.0465848 + 0.681046i 0.914464 + 0.404667i \(0.132613\pi\)
−0.961049 + 0.276379i \(0.910866\pi\)
\(350\) 0.305731 0.590034i 0.0163420 0.0315387i
\(351\) −6.95924 5.66176i −0.371457 0.302203i
\(352\) −0.933662 0.128329i −0.0497644 0.00683995i
\(353\) 27.4495 + 3.77285i 1.46099 + 0.200809i 0.822476 0.568800i \(-0.192592\pi\)
0.638516 + 0.769609i \(0.279549\pi\)
\(354\) 11.8561 + 9.64563i 0.630143 + 0.512660i
\(355\) −9.66347 + 18.6497i −0.512884 + 0.989821i
\(356\) −0.104314 + 1.52502i −0.00552864 + 0.0808259i
\(357\) −0.324628 0.913416i −0.0171811 0.0483431i
\(358\) −5.20565 7.37473i −0.275127 0.389766i
\(359\) 17.3204 18.5456i 0.914134 0.978798i −0.0857128 0.996320i \(-0.527317\pi\)
0.999846 + 0.0175217i \(0.00557762\pi\)
\(360\) 10.9691 6.67043i 0.578120 0.351563i
\(361\) 8.57413 6.97557i 0.451270 0.367135i
\(362\) −3.13500 15.0865i −0.164772 0.792926i
\(363\) −14.1948 + 20.1094i −0.745033 + 1.05547i
\(364\) 0.776296 + 0.217508i 0.0406890 + 0.0114005i
\(365\) −21.3075 22.8147i −1.11528 1.19418i
\(366\) −4.25817 + 20.4914i −0.222578 + 1.07110i
\(367\) 1.15981 + 2.23833i 0.0605416 + 0.116840i 0.916232 0.400648i \(-0.131215\pi\)
−0.855690 + 0.517488i \(0.826867\pi\)
\(368\) −2.89782 + 1.25870i −0.151059 + 0.0656143i
\(369\) 0.133208 + 1.94744i 0.00693455 + 0.101380i
\(370\) 3.38575 + 1.47064i 0.176017 + 0.0764549i
\(371\) −1.85047 + 5.20672i −0.0960716 + 0.270319i
\(372\) −5.94713 + 1.66631i −0.308345 + 0.0863941i
\(373\) 11.7523 + 7.14673i 0.608510 + 0.370043i 0.789780 0.613390i \(-0.210195\pi\)
−0.181270 + 0.983433i \(0.558021\pi\)
\(374\) −0.539499 + 0.0741524i −0.0278968 + 0.00383433i
\(375\) −27.5312 −1.42170
\(376\) 12.1953 16.8484i 0.628924 0.868889i
\(377\) 18.7817 0.967304
\(378\) 0.998369 0.137223i 0.0513506 0.00705797i
\(379\) 4.88514 + 2.97072i 0.250933 + 0.152596i 0.639418 0.768859i \(-0.279175\pi\)
−0.388485 + 0.921455i \(0.627001\pi\)
\(380\) −2.07560 + 0.581557i −0.106476 + 0.0298332i
\(381\) −0.857134 + 2.41174i −0.0439123 + 0.123557i
\(382\) −9.30345 4.04106i −0.476006 0.206759i
\(383\) 0.549719 + 8.03661i 0.0280893 + 0.410651i 0.990356 + 0.138544i \(0.0442423\pi\)
−0.962267 + 0.272107i \(0.912279\pi\)
\(384\) 14.3722 6.24271i 0.733427 0.318572i
\(385\) 0.163470 + 0.315482i 0.00833118 + 0.0160784i
\(386\) −5.38759 + 25.9265i −0.274221 + 1.31962i
\(387\) 7.14172 + 7.64691i 0.363034 + 0.388714i
\(388\) 4.14983 + 1.16273i 0.210676 + 0.0590286i
\(389\) 16.4497 23.3039i 0.834031 1.18155i −0.147275 0.989096i \(-0.547050\pi\)
0.981305 0.192457i \(-0.0616455\pi\)
\(390\) 5.47475 + 26.3459i 0.277225 + 1.33408i
\(391\) 0.801657 0.652196i 0.0405415 0.0329830i
\(392\) 17.6749 10.7483i 0.892715 0.542872i
\(393\) 30.6869 32.8577i 1.54795 1.65745i
\(394\) −7.28373 10.3187i −0.366949 0.519849i
\(395\) 2.57556 + 7.24694i 0.129591 + 0.364633i
\(396\) 0.0251750 0.368045i 0.00126509 0.0184950i
\(397\) −11.7986 + 22.7703i −0.592155 + 1.14281i 0.383509 + 0.923537i \(0.374715\pi\)
−0.975664 + 0.219270i \(0.929632\pi\)
\(398\) 3.59888 + 2.92791i 0.180396 + 0.146763i
\(399\) 2.70725 + 0.372103i 0.135532 + 0.0186284i
\(400\) −3.72851 0.512471i −0.186425 0.0256236i
\(401\) −27.3767 22.2726i −1.36713 1.11224i −0.981896 0.189423i \(-0.939338\pi\)
−0.385233 0.922819i \(-0.625879\pi\)
\(402\) 5.41452 10.4495i 0.270052 0.521176i
\(403\) 2.25949 33.0326i 0.112553 1.64547i
\(404\) 2.25191 + 6.33626i 0.112037 + 0.315241i
\(405\) −12.0777 17.1102i −0.600146 0.850213i
\(406\) −1.44000 + 1.54187i −0.0714662 + 0.0765216i
\(407\) 0.550836 0.334971i 0.0273039 0.0166039i
\(408\) −5.35604 + 4.35746i −0.265163 + 0.215726i
\(409\) 4.20500 + 20.2355i 0.207924 + 1.00058i 0.945576 + 0.325402i \(0.105500\pi\)
−0.737652 + 0.675181i \(0.764065\pi\)
\(410\) −1.27061 + 1.80005i −0.0627510 + 0.0888979i
\(411\) −20.7000 5.79988i −1.02106 0.286087i
\(412\) −3.28087 3.51295i −0.161637 0.173071i
\(413\) −0.459212 + 2.20985i −0.0225963 + 0.108739i
\(414\) −1.31340 2.53475i −0.0645501 0.124576i
\(415\) 17.5839 7.63776i 0.863159 0.374923i
\(416\) −0.719259 10.5152i −0.0352646 0.515550i
\(417\) 10.1624 + 4.41414i 0.497653 + 0.216161i
\(418\) 0.514089 1.44651i 0.0251449 0.0707510i
\(419\) 10.5464 2.95497i 0.515226 0.144360i −0.00234915 0.999997i \(-0.500748\pi\)
0.517575 + 0.855638i \(0.326835\pi\)
\(420\) 0.633328 + 0.385136i 0.0309033 + 0.0187927i
\(421\) −1.11134 + 0.152750i −0.0541634 + 0.00744459i −0.163197 0.986593i \(-0.552181\pi\)
0.109034 + 0.994038i \(0.465224\pi\)
\(422\) −25.1297 −1.22329
\(423\) 12.6747 + 7.91544i 0.616267 + 0.384862i
\(424\) 39.3586 1.91142
\(425\) 1.21961 0.167632i 0.0591598 0.00813133i
\(426\) −26.6637 16.2145i −1.29186 0.785596i
\(427\) −2.97607 + 0.833855i −0.144022 + 0.0403531i
\(428\) −0.389125 + 1.09489i −0.0188091 + 0.0529237i
\(429\) 4.31050 + 1.87232i 0.208113 + 0.0903963i
\(430\) 0.805974 + 11.7829i 0.0388675 + 0.568223i
\(431\) 18.5881 8.07396i 0.895359 0.388909i 0.0999569 0.994992i \(-0.468130\pi\)
0.795402 + 0.606083i \(0.207260\pi\)
\(432\) −2.62575 5.06746i −0.126331 0.243808i
\(433\) −3.65502 + 17.5889i −0.175649 + 0.845270i 0.795343 + 0.606159i \(0.207291\pi\)
−0.970992 + 0.239111i \(0.923144\pi\)
\(434\) 2.53855 + 2.71812i 0.121854 + 0.130474i
\(435\) 16.6281 + 4.65897i 0.797256 + 0.223381i
\(436\) −0.0309285 + 0.0438157i −0.00148121 + 0.00209839i
\(437\) 0.592726 + 2.85235i 0.0283539 + 0.136447i
\(438\) 35.9774 29.2698i 1.71907 1.39856i
\(439\) 0.339716 0.206586i 0.0162138 0.00985980i −0.511454 0.859311i \(-0.670893\pi\)
0.527667 + 0.849451i \(0.323067\pi\)
\(440\) 1.72743 1.84963i 0.0823520 0.0881774i
\(441\) 8.57092 + 12.1422i 0.408139 + 0.578202i
\(442\) −2.03949 5.73857i −0.0970085 0.272956i
\(443\) −2.57262 + 37.6103i −0.122229 + 1.78692i 0.382814 + 0.923825i \(0.374955\pi\)
−0.505043 + 0.863094i \(0.668523\pi\)
\(444\) 0.618743 1.19412i 0.0293643 0.0566704i
\(445\) −5.84448 4.75484i −0.277055 0.225401i
\(446\) 5.28511 + 0.726422i 0.250257 + 0.0343971i
\(447\) 14.9237 + 2.05122i 0.705868 + 0.0970193i
\(448\) 2.93856 + 2.39069i 0.138834 + 0.112950i
\(449\) −7.78383 + 15.0221i −0.367341 + 0.708937i −0.997730 0.0673431i \(-0.978548\pi\)
0.630388 + 0.776280i \(0.282896\pi\)
\(450\) 0.232075 3.39282i 0.0109401 0.159939i
\(451\) 0.128864 + 0.362588i 0.00606797 + 0.0170736i
\(452\) −2.87998 4.08001i −0.135463 0.191907i
\(453\) 9.16591 9.81429i 0.430652 0.461116i
\(454\) −30.0287 + 18.2608i −1.40931 + 0.857023i
\(455\) −3.08244 + 2.50775i −0.144507 + 0.117565i
\(456\) −3.96013 19.0572i −0.185450 0.892434i
\(457\) 7.42734 10.5221i 0.347436 0.492205i −0.605303 0.795995i \(-0.706948\pi\)
0.952739 + 0.303790i \(0.0982522\pi\)
\(458\) −19.3733 5.42814i −0.905254 0.253640i
\(459\) 1.27426 + 1.36439i 0.0594772 + 0.0636845i
\(460\) −0.160775 + 0.773693i −0.00749619 + 0.0360736i
\(461\) 9.05033 + 17.4663i 0.421516 + 0.813489i 0.999998 0.00220662i \(-0.000702388\pi\)
−0.578482 + 0.815695i \(0.696355\pi\)
\(462\) −0.484196 + 0.210316i −0.0225269 + 0.00978479i
\(463\) 0.802288 + 11.7290i 0.0372855 + 0.545094i 0.978362 + 0.206901i \(0.0663377\pi\)
−0.941076 + 0.338194i \(0.890184\pi\)
\(464\) 10.9591 + 4.76021i 0.508764 + 0.220987i
\(465\) 10.1945 28.6845i 0.472757 1.33021i
\(466\) −27.4734 + 7.69767i −1.27268 + 0.356588i
\(467\) −6.07180 3.69235i −0.280970 0.170861i 0.372028 0.928222i \(-0.378663\pi\)
−0.652997 + 0.757360i \(0.726489\pi\)
\(468\) 4.08722 0.561776i 0.188932 0.0259681i
\(469\) 1.73797 0.0802520
\(470\) 5.45936 + 15.9595i 0.251821 + 0.736155i
\(471\) −7.91142 −0.364539
\(472\) 15.9267 2.18907i 0.733084 0.100760i
\(473\) 1.76239 + 1.07174i 0.0810349 + 0.0492784i
\(474\) −11.0029 + 3.08287i −0.505380 + 0.141601i
\(475\) −1.16217 + 3.27003i −0.0533239 + 0.150039i
\(476\) −0.153874 0.0668370i −0.00705281 0.00306347i
\(477\) 1.92975 + 28.2120i 0.0883573 + 1.29174i
\(478\) 27.7632 12.0593i 1.26986 0.551577i
\(479\) 10.9735 + 21.1778i 0.501390 + 0.967640i 0.995181 + 0.0980586i \(0.0312633\pi\)
−0.493790 + 0.869581i \(0.664389\pi\)
\(480\) 1.97161 9.48792i 0.0899913 0.433062i
\(481\) 4.92113 + 5.26924i 0.224384 + 0.240257i
\(482\) 5.45269 + 1.52777i 0.248363 + 0.0695881i
\(483\) 0.577725 0.818449i 0.0262874 0.0372407i
\(484\) 0.866689 + 4.17074i 0.0393950 + 0.189579i
\(485\) −16.4778 + 13.4057i −0.748217 + 0.608719i
\(486\) 20.5215 12.4794i 0.930875 0.566077i
\(487\) 3.37397 3.61264i 0.152889 0.163704i −0.649793 0.760111i \(-0.725145\pi\)
0.802682 + 0.596407i \(0.203405\pi\)
\(488\) 12.6951 + 17.9848i 0.574679 + 0.814135i
\(489\) 4.34591 + 12.2282i 0.196529 + 0.552979i
\(490\) −1.14485 + 16.7371i −0.0517189 + 0.756104i
\(491\) −10.3030 + 19.8838i −0.464966 + 0.897343i 0.533699 + 0.845675i \(0.320802\pi\)
−0.998664 + 0.0516682i \(0.983546\pi\)
\(492\) 0.622706 + 0.506609i 0.0280738 + 0.0228397i
\(493\) −3.87194 0.532185i −0.174383 0.0239684i
\(494\) 17.0084 + 2.33775i 0.765243 + 0.105180i
\(495\) 1.41050 + 1.14752i 0.0633971 + 0.0515773i
\(496\) 9.69052 18.7019i 0.435117 0.839738i
\(497\) 0.314488 4.59766i 0.0141067 0.206233i
\(498\) 9.53825 + 26.8381i 0.427419 + 1.20264i
\(499\) −16.5221 23.4065i −0.739632 1.04782i −0.996680 0.0814213i \(-0.974054\pi\)
0.257048 0.966399i \(-0.417250\pi\)
\(500\) −3.25207 + 3.48212i −0.145437 + 0.155725i
\(501\) 17.2100 10.4656i 0.768885 0.467569i
\(502\) 11.7356 9.54761i 0.523785 0.426131i
\(503\) −5.70329 27.4457i −0.254297 1.22374i −0.891490 0.453040i \(-0.850339\pi\)
0.637193 0.770704i \(-0.280095\pi\)
\(504\) −1.62431 + 2.30113i −0.0723526 + 0.102500i
\(505\) −31.9159 8.94242i −1.42024 0.397933i
\(506\) −0.384131 0.411304i −0.0170767 0.0182847i
\(507\) −4.67359 + 22.4905i −0.207561 + 0.998840i
\(508\) 0.203788 + 0.393293i 0.00904163 + 0.0174495i
\(509\) −13.2773 + 5.76714i −0.588505 + 0.255624i −0.671595 0.740918i \(-0.734391\pi\)
0.0830902 + 0.996542i \(0.473521\pi\)
\(510\) −0.382126 5.58648i −0.0169208 0.247373i
\(511\) 6.28204 + 2.72867i 0.277901 + 0.120709i
\(512\) 8.45727 23.7965i 0.373762 1.05167i
\(513\) −5.06762 + 1.41988i −0.223741 + 0.0626892i
\(514\) −5.91054 3.59428i −0.260703 0.158537i
\(515\) 23.4717 3.22612i 1.03429 0.142160i
\(516\) 4.30301 0.189429
\(517\) 2.82699 + 0.828425i 0.124331 + 0.0364341i
\(518\) −0.809882 −0.0355842
\(519\) −12.7256 + 1.74909i −0.558592 + 0.0767767i
\(520\) 24.1831 + 14.7061i 1.06050 + 0.644904i
\(521\) −21.2638 + 5.95783i −0.931583 + 0.261017i −0.701922 0.712253i \(-0.747675\pi\)
−0.229661 + 0.973271i \(0.573762\pi\)
\(522\) −3.61551 + 10.1731i −0.158247 + 0.445264i
\(523\) −7.25661 3.15199i −0.317309 0.137827i 0.233741 0.972299i \(-0.424903\pi\)
−0.551050 + 0.834472i \(0.685773\pi\)
\(524\) −0.530971 7.76252i −0.0231956 0.339107i
\(525\) 1.09459 0.475448i 0.0477719 0.0207503i
\(526\) −8.06177 15.5585i −0.351510 0.678384i
\(527\) −1.40180 + 6.74581i −0.0610632 + 0.293852i
\(528\) 2.04064 + 2.18500i 0.0888076 + 0.0950898i
\(529\) −21.1187 5.91718i −0.918204 0.257269i
\(530\) −18.4070 + 26.0768i −0.799548 + 1.13270i
\(531\) 2.34999 + 11.3088i 0.101981 + 0.490760i
\(532\) 0.366853 0.298457i 0.0159051 0.0129397i
\(533\) −3.67698 + 2.23602i −0.159268 + 0.0968528i
\(534\) 7.64041 8.18089i 0.330633 0.354022i
\(535\) −3.30288 4.67911i −0.142796 0.202296i
\(536\) −4.14550 11.6643i −0.179058 0.503822i
\(537\) 1.10626 16.1729i 0.0477386 0.697913i
\(538\) 2.09458 4.04235i 0.0903036 0.174278i
\(539\) 2.27278 + 1.84905i 0.0978957 + 0.0796441i
\(540\) −1.41422 0.194380i −0.0608583 0.00836478i
\(541\) 7.24734 + 0.996124i 0.311588 + 0.0428267i 0.290266 0.956946i \(-0.406256\pi\)
0.0213214 + 0.999773i \(0.493213\pi\)
\(542\) 13.5868 + 11.0537i 0.583603 + 0.474797i
\(543\) 12.7306 24.5689i 0.546322 1.05435i
\(544\) −0.149673 + 2.18814i −0.00641718 + 0.0938159i
\(545\) −0.0885256 0.249087i −0.00379202 0.0106697i
\(546\) −3.40459 4.82320i −0.145703 0.206414i
\(547\) −3.06899 + 3.28609i −0.131221 + 0.140503i −0.793062 0.609141i \(-0.791514\pi\)
0.661841 + 0.749644i \(0.269775\pi\)
\(548\) −3.17872 + 1.93302i −0.135788 + 0.0825747i
\(549\) −12.2690 + 9.98155i −0.523627 + 0.426002i
\(550\) −0.136399 0.656387i −0.00581606 0.0279884i
\(551\) 6.35363 9.00105i 0.270674 0.383458i
\(552\) −6.87102 1.92517i −0.292450 0.0819406i
\(553\) −1.15174 1.23322i −0.0489772 0.0524417i
\(554\) −0.201731 + 0.970782i −0.00857072 + 0.0412446i
\(555\) 3.04977 + 5.88579i 0.129456 + 0.249838i
\(556\) 1.75871 0.763915i 0.0745859 0.0323972i
\(557\) −1.63407 23.8893i −0.0692378 1.01222i −0.894383 0.447301i \(-0.852385\pi\)
0.825146 0.564920i \(-0.191093\pi\)
\(558\) 17.4571 + 7.58270i 0.739019 + 0.321001i
\(559\) −7.72499 + 21.7360i −0.326732 + 0.919336i
\(560\) −2.43420 + 0.682031i −0.102864 + 0.0288211i
\(561\) −0.835580 0.508128i −0.0352782 0.0214532i
\(562\) 10.4169 1.43177i 0.439411 0.0603956i
\(563\) −11.0187 −0.464384 −0.232192 0.972670i \(-0.574590\pi\)
−0.232192 + 0.972670i \(0.574590\pi\)
\(564\) 5.93684 1.58761i 0.249986 0.0668506i
\(565\) 24.6157 1.03559
\(566\) −25.2617 + 3.47214i −1.06183 + 0.145945i
\(567\) 3.92606 + 2.38749i 0.164879 + 0.100265i
\(568\) −31.6071 + 8.85591i −1.32621 + 0.371586i
\(569\) 12.6129 35.4893i 0.528760 1.48779i −0.313960 0.949436i \(-0.601656\pi\)
0.842720 0.538352i \(-0.180953\pi\)
\(570\) 14.4783 + 6.28879i 0.606427 + 0.263408i
\(571\) −0.444754 6.50207i −0.0186124 0.272103i −0.997655 0.0684467i \(-0.978196\pi\)
0.979042 0.203657i \(-0.0652826\pi\)
\(572\) 0.745980 0.324025i 0.0311910 0.0135482i
\(573\) −8.38024 16.1731i −0.350089 0.675642i
\(574\) 0.0983522 0.473297i 0.00410514 0.0197550i
\(575\) 0.868380 + 0.929808i 0.0362140 + 0.0387757i
\(576\) 18.6671 + 5.23028i 0.777796 + 0.217928i
\(577\) −22.1483 + 31.3770i −0.922047 + 1.30624i 0.0297635 + 0.999557i \(0.490525\pi\)
−0.951811 + 0.306686i \(0.900780\pi\)
\(578\) 0.257846 + 1.24082i 0.0107250 + 0.0516115i
\(579\) −36.8881 + 30.0107i −1.53302 + 1.24720i
\(580\) 2.55343 1.55277i 0.106025 0.0644755i
\(581\) −2.87090 + 3.07398i −0.119105 + 0.127530i
\(582\) −18.1998 25.7833i −0.754408 1.06875i
\(583\) 1.86682 + 5.25272i 0.0773156 + 0.217545i
\(584\) 3.32914 48.6703i 0.137761 2.01399i
\(585\) −9.35553 + 18.0553i −0.386803 + 0.746497i
\(586\) −24.5846 20.0010i −1.01558 0.826234i
\(587\) −17.5032 2.40575i −0.722433 0.0992961i −0.234423 0.972135i \(-0.575320\pi\)
−0.488009 + 0.872838i \(0.662277\pi\)
\(588\) 6.05528 + 0.832279i 0.249716 + 0.0343226i
\(589\) −15.0664 12.2574i −0.620800 0.505058i
\(590\) −5.99813 + 11.5759i −0.246939 + 0.476571i
\(591\) 1.54787 22.6291i 0.0636710 0.930837i
\(592\) 1.53599 + 4.32187i 0.0631289 + 0.177628i
\(593\) −1.35739 1.92298i −0.0557412 0.0789673i 0.788145 0.615490i \(-0.211042\pi\)
−0.843886 + 0.536523i \(0.819738\pi\)
\(594\) 0.693923 0.743010i 0.0284720 0.0304861i
\(595\) 0.706520 0.429644i 0.0289645 0.0176137i
\(596\) 2.02228 1.64524i 0.0828356 0.0673918i
\(597\) 1.69512 + 8.15736i 0.0693766 + 0.333858i
\(598\) 3.62957 5.14193i 0.148424 0.210269i
\(599\) −10.5123 2.94540i −0.429520 0.120346i 0.0482408 0.998836i \(-0.484639\pi\)
−0.477761 + 0.878490i \(0.658552\pi\)
\(600\) −5.80183 6.21225i −0.236859 0.253614i
\(601\) 3.43940 16.5513i 0.140296 0.675141i −0.848901 0.528551i \(-0.822735\pi\)
0.989197 0.146590i \(-0.0468298\pi\)
\(602\) −1.19213 2.30070i −0.0485874 0.0937694i
\(603\) 8.15766 3.54337i 0.332206 0.144297i
\(604\) −0.158596 2.31859i −0.00645319 0.0943422i
\(605\) −19.2583 8.36508i −0.782963 0.340089i
\(606\) 16.4908 46.4007i 0.669893 1.88490i
\(607\) 9.69866 2.71744i 0.393657 0.110297i −0.0672719 0.997735i \(-0.521429\pi\)
0.460928 + 0.887437i \(0.347516\pi\)
\(608\) −5.28269 3.21248i −0.214242 0.130283i
\(609\) −3.75341 + 0.515894i −0.152096 + 0.0209051i
\(610\) −17.8529 −0.722842
\(611\) −2.63852 + 32.8393i −0.106743 + 1.32853i
\(612\) −0.858520 −0.0347036
\(613\) 20.9154 2.87476i 0.844766 0.116110i 0.299213 0.954186i \(-0.403276\pi\)
0.545553 + 0.838076i \(0.316320\pi\)
\(614\) −15.4471 9.39360i −0.623395 0.379095i
\(615\) −3.81003 + 1.06752i −0.153635 + 0.0430466i
\(616\) −0.185947 + 0.523204i −0.00749201 + 0.0210805i
\(617\) −28.4443 12.3551i −1.14513 0.497398i −0.261320 0.965252i \(-0.584158\pi\)
−0.883806 + 0.467854i \(0.845027\pi\)
\(618\) 2.40214 + 35.1180i 0.0966282 + 1.41265i
\(619\) −31.1296 + 13.5215i −1.25120 + 0.543474i −0.916947 0.399008i \(-0.869355\pi\)
−0.334256 + 0.942482i \(0.608485\pi\)
\(620\) −2.42378 4.67769i −0.0973415 0.187861i
\(621\) −0.392536 + 1.88898i −0.0157519 + 0.0758023i
\(622\) 0.511781 + 0.547984i 0.0205206 + 0.0219722i
\(623\) 1.59174 + 0.445983i 0.0637715 + 0.0178679i
\(624\) −19.2816 + 27.3158i −0.771882 + 1.09351i
\(625\) −3.52570 16.9666i −0.141028 0.678664i
\(626\) 1.29682 1.05504i 0.0518314 0.0421680i
\(627\) 2.35550 1.43241i 0.0940696 0.0572050i
\(628\) −0.934523 + 1.00063i −0.0372915 + 0.0399295i
\(629\) −0.865210 1.22572i −0.0344982 0.0488728i
\(630\) −0.764947 2.15235i −0.0304762 0.0857518i
\(631\) 2.41009 35.2343i 0.0959443 1.40266i −0.661592 0.749864i \(-0.730119\pi\)
0.757537 0.652793i \(-0.226403\pi\)
\(632\) −5.52949 + 10.6714i −0.219951 + 0.424487i
\(633\) −35.0065 28.4799i −1.39138 1.13198i
\(634\) 15.9795 + 2.19634i 0.634629 + 0.0872277i
\(635\) −2.16298 0.297294i −0.0858351 0.0117978i
\(636\) 9.02097 + 7.33910i 0.357705 + 0.291014i
\(637\) −15.0749 + 29.0933i −0.597290 + 1.15272i
\(638\) −0.145245 + 2.12341i −0.00575031 + 0.0840665i
\(639\) −7.89756 22.2216i −0.312423 0.879073i
\(640\) 7.70804 + 10.9198i 0.304687 + 0.431643i
\(641\) 28.6198 30.6443i 1.13041 1.21038i 0.155491 0.987837i \(-0.450304\pi\)
0.974923 0.222541i \(-0.0714350\pi\)
\(642\) 7.27048 4.42128i 0.286943 0.174494i
\(643\) −15.1173 + 12.2988i −0.596168 + 0.485019i −0.880717 0.473643i \(-0.842939\pi\)
0.284549 + 0.958662i \(0.408156\pi\)
\(644\) −0.0352741 0.169748i −0.00138999 0.00668901i
\(645\) −12.2311 + 17.3275i −0.481597 + 0.682268i
\(646\) −3.44013 0.963878i −0.135350 0.0379233i
\(647\) −13.5641 14.5236i −0.533260 0.570982i 0.406138 0.913812i \(-0.366875\pi\)
−0.939397 + 0.342830i \(0.888614\pi\)
\(648\) 6.65889 32.0444i 0.261586 1.25882i
\(649\) 1.04757 + 2.02171i 0.0411205 + 0.0793590i
\(650\) 6.87681 2.98702i 0.269731 0.117161i
\(651\) 0.455791 + 6.66343i 0.0178639 + 0.261160i
\(652\) 2.05997 + 0.894770i 0.0806746 + 0.0350419i
\(653\) 2.28293 6.42356i 0.0893381 0.251373i −0.889172 0.457574i \(-0.848719\pi\)
0.978510 + 0.206200i \(0.0661099\pi\)
\(654\) 0.378184 0.105962i 0.0147882 0.00414345i
\(655\) 32.7676 + 19.9264i 1.28033 + 0.778589i
\(656\) −2.71224 + 0.372789i −0.105895 + 0.0145550i
\(657\) 35.0498 1.36742
\(658\) −2.49362 2.73442i −0.0972114 0.106599i
\(659\) 43.4510 1.69261 0.846305 0.532698i \(-0.178822\pi\)
0.846305 + 0.532698i \(0.178822\pi\)
\(660\) 0.740821 0.101824i 0.0288364 0.00396348i
\(661\) −10.5569 6.41981i −0.410617 0.249701i 0.299052 0.954237i \(-0.403329\pi\)
−0.709669 + 0.704535i \(0.751156\pi\)
\(662\) 0.889884 0.249334i 0.0345863 0.00969063i
\(663\) 3.66255 10.3054i 0.142242 0.400229i
\(664\) 27.4787 + 11.9357i 1.06638 + 0.463195i
\(665\) 0.159075 + 2.32560i 0.00616867 + 0.0901828i
\(666\) −3.80141 + 1.65119i −0.147302 + 0.0639822i
\(667\) −1.85823 3.58622i −0.0719510 0.138859i
\(668\) 0.709216 3.41294i 0.0274404 0.132050i
\(669\) 6.53908 + 7.00165i 0.252815 + 0.270699i
\(670\) 9.66686 + 2.70853i 0.373463 + 0.104640i
\(671\) −1.79808 + 2.54730i −0.0694140 + 0.0983373i
\(672\) 0.432571 + 2.08165i 0.0166868 + 0.0803012i
\(673\) 2.53798 2.06480i 0.0978319 0.0795922i −0.580916 0.813964i \(-0.697306\pi\)
0.678748 + 0.734371i \(0.262523\pi\)
\(674\) 28.5602 17.3678i 1.10010 0.668984i
\(675\) −1.56871 + 1.67967i −0.0603796 + 0.0646507i
\(676\) 2.29253 + 3.24777i 0.0881741 + 0.124914i
\(677\) 3.10998 + 8.75065i 0.119526 + 0.336315i 0.986898 0.161346i \(-0.0515837\pi\)
−0.867372 + 0.497661i \(0.834192\pi\)
\(678\) −2.49575 + 36.4865i −0.0958486 + 1.40126i
\(679\) 2.14414 4.13800i 0.0822846 0.158802i
\(680\) −4.56877 3.71697i −0.175204 0.142539i
\(681\) −62.5263 8.59405i −2.39601 0.329325i
\(682\) 3.71711 + 0.510904i 0.142335 + 0.0195635i
\(683\) −17.3855 14.1442i −0.665240 0.541213i 0.237507 0.971386i \(-0.423670\pi\)
−0.902746 + 0.430173i \(0.858452\pi\)
\(684\) 1.11343 2.14883i 0.0425732 0.0821626i
\(685\) 1.25139 18.2947i 0.0478131 0.699003i
\(686\) −2.49797 7.02861i −0.0953729 0.268354i
\(687\) −20.8359 29.5177i −0.794938 1.12617i
\(688\) −10.0165 + 10.7251i −0.381877 + 0.408890i
\(689\) −53.2674 + 32.3926i −2.02933 + 1.23406i
\(690\) 4.48890 3.65199i 0.170890 0.139029i
\(691\) 10.3798 + 49.9503i 0.394866 + 1.90020i 0.433898 + 0.900962i \(0.357138\pi\)
−0.0390318 + 0.999238i \(0.512427\pi\)
\(692\) −1.28197 + 1.81613i −0.0487331 + 0.0690390i
\(693\) −0.384146 0.107633i −0.0145925 0.00408863i
\(694\) −15.7010 16.8117i −0.596002 0.638162i
\(695\) −1.92288 + 9.25340i −0.0729389 + 0.351001i
\(696\) 12.4152 + 23.9603i 0.470598 + 0.908214i
\(697\) 0.821387 0.356779i 0.0311123 0.0135140i
\(698\) −1.10293 16.1243i −0.0417465 0.610312i
\(699\) −46.9953 20.4129i −1.77753 0.772088i
\(700\) 0.0691625 0.194605i 0.00261410 0.00735536i
\(701\) −3.85457 + 1.08000i −0.145585 + 0.0407910i −0.341817 0.939766i \(-0.611042\pi\)
0.196232 + 0.980557i \(0.437129\pi\)
\(702\) 9.71457 + 5.90756i 0.366653 + 0.222966i
\(703\) 4.19003 0.575907i 0.158030 0.0217207i
\(704\) 3.82167 0.144035
\(705\) −10.4821 + 28.4193i −0.394778 + 1.07033i
\(706\) −35.1147 −1.32156
\(707\) 7.20428 0.990205i 0.270945 0.0372405i
\(708\) 4.05857 + 2.46807i 0.152531 + 0.0927559i
\(709\) 34.6156 9.69883i 1.30001 0.364247i 0.450956 0.892546i \(-0.351083\pi\)
0.849058 + 0.528299i \(0.177170\pi\)
\(710\) 8.91442 25.0828i 0.334552 0.941340i
\(711\) −7.92033 3.44028i −0.297036 0.129021i
\(712\) −0.803494 11.7467i −0.0301122 0.440225i
\(713\) −6.53088 + 2.83676i −0.244583 + 0.106238i
\(714\) 0.565206 + 1.09080i 0.0211523 + 0.0408221i
\(715\) −0.815615 + 3.92495i −0.0305023 + 0.146785i
\(716\) −1.91486 2.05032i −0.0715618 0.0766240i
\(717\) 52.3421 + 14.6656i 1.95475 + 0.547696i
\(718\) −18.5458 + 26.2734i −0.692124 + 0.980516i
\(719\) −0.784185 3.77370i −0.0292452 0.140735i 0.961930 0.273298i \(-0.0881144\pi\)
−0.991175 + 0.132562i \(0.957680\pi\)
\(720\) −10.0351 + 8.16415i −0.373986 + 0.304260i
\(721\) −4.44136 + 2.70085i −0.165405 + 0.100585i
\(722\) −9.56130 + 10.2376i −0.355835 + 0.381006i
\(723\) 5.86434 + 8.30787i 0.218097 + 0.308973i
\(724\) −1.60368 4.51232i −0.0596002 0.167699i
\(725\) 0.328346 4.80025i 0.0121945 0.178277i
\(726\) 14.3517 27.6975i 0.532642 1.02795i
\(727\) −33.2027 27.0124i −1.23142 1.00183i −0.999577 0.0290803i \(-0.990742\pi\)
−0.231842 0.972753i \(-0.574475\pi\)
\(728\) −6.15196 0.845567i −0.228007 0.0313388i
\(729\) 10.6678 + 1.46626i 0.395104 + 0.0543058i
\(730\) 30.6892 + 24.9675i 1.13586 + 0.924089i
\(731\) 2.20845 4.26211i 0.0816823 0.157640i
\(732\) −0.443883 + 6.48933i −0.0164064 + 0.239853i
\(733\) −2.85948 8.04580i −0.105617 0.297178i 0.877663 0.479279i \(-0.159102\pi\)
−0.983280 + 0.182100i \(0.941710\pi\)
\(734\) −1.84244 2.61014i −0.0680057 0.0963421i
\(735\) −20.5632 + 22.0179i −0.758487 + 0.812141i
\(736\) −1.93664 + 1.17770i −0.0713855 + 0.0434105i
\(737\) 1.36007 1.10650i 0.0500989 0.0407585i
\(738\) −0.503313 2.42208i −0.0185272 0.0891578i
\(739\) −27.1493 + 38.4618i −0.998704 + 1.41484i −0.0907001 + 0.995878i \(0.528910\pi\)
−0.908004 + 0.418962i \(0.862394\pi\)
\(740\) 1.10468 + 0.309517i 0.0406088 + 0.0113781i
\(741\) 21.0439 + 22.5325i 0.773066 + 0.827752i
\(742\) 1.42480 6.85652i 0.0523061 0.251711i
\(743\) 12.6538 + 24.4207i 0.464222 + 0.895907i 0.998712 + 0.0507328i \(0.0161557\pi\)
−0.534491 + 0.845174i \(0.679496\pi\)
\(744\) 43.6342 18.9530i 1.59971 0.694851i
\(745\) 0.876902 + 12.8199i 0.0321272 + 0.469683i
\(746\) −15.9886 6.94484i −0.585385 0.254269i
\(747\) −7.20815 + 20.2818i −0.263733 + 0.742072i
\(748\) −0.162969 + 0.0456618i −0.00595874 + 0.00166956i
\(749\) 1.07365 + 0.652904i 0.0392305 + 0.0238566i
\(750\) 34.5661 4.75101i 1.26218 0.173482i
\(751\) −26.9047 −0.981766 −0.490883 0.871226i \(-0.663326\pi\)
−0.490883 + 0.871226i \(0.663326\pi\)
\(752\) −9.86269 + 18.4930i −0.359655 + 0.674370i
\(753\) 27.1686 0.990078
\(754\) −23.5809 + 3.24112i −0.858766 + 0.118035i
\(755\) 9.78737 + 5.95183i 0.356199 + 0.216609i
\(756\) 0.301582 0.0844994i 0.0109684 0.00307321i
\(757\) −8.49503 + 23.9027i −0.308757 + 0.868759i 0.681785 + 0.731552i \(0.261204\pi\)
−0.990542 + 0.137207i \(0.956187\pi\)
\(758\) −6.64609 2.88680i −0.241397 0.104853i
\(759\) −0.0689699 1.00830i −0.00250345 0.0365991i
\(760\) 15.2287 6.61477i 0.552404 0.239943i
\(761\) 15.6802 + 30.2615i 0.568408 + 1.09698i 0.982416 + 0.186705i \(0.0597809\pi\)
−0.414008 + 0.910273i \(0.635871\pi\)
\(762\) 0.659965 3.17593i 0.0239080 0.115052i
\(763\) 0.0395870 + 0.0423873i 0.00143315 + 0.00153452i
\(764\) −3.03547 0.850497i −0.109819 0.0307699i
\(765\) 2.44030 3.45711i 0.0882291 0.124992i
\(766\) −2.07705 9.99532i −0.0750469 0.361146i
\(767\) −19.7533 + 16.0705i −0.713250 + 0.580272i
\(768\) 17.6221 10.7162i 0.635881 0.386688i
\(769\) −35.1877 + 37.6768i −1.26890 + 1.35866i −0.364947 + 0.931028i \(0.618913\pi\)
−0.903953 + 0.427632i \(0.859348\pi\)
\(770\) −0.259683 0.367887i −0.00935832 0.0132577i
\(771\) −4.16013 11.7055i −0.149823 0.421563i
\(772\) −0.561616 + 8.21054i −0.0202130 + 0.295504i
\(773\) −9.55603 + 18.4423i −0.343706 + 0.663323i −0.995468 0.0951010i \(-0.969683\pi\)
0.651761 + 0.758424i \(0.274030\pi\)
\(774\) −10.2862 8.36848i −0.369731 0.300799i
\(775\) −8.40302 1.15497i −0.301845 0.0414877i
\(776\) −32.8864 4.52013i −1.18055 0.162263i
\(777\) −1.12819 0.917855i −0.0404738 0.0329278i
\(778\) −16.6315 + 32.0973i −0.596268 + 1.15075i
\(779\) −0.172277 + 2.51860i −0.00617247 + 0.0902383i
\(780\) 2.80055 + 7.88000i 0.100276 + 0.282149i
\(781\) −2.68105 3.79818i −0.0959355 0.135910i
\(782\) −0.893954 + 0.957191i −0.0319677 + 0.0342291i
\(783\) 6.23424 3.79112i 0.222793 0.135484i
\(784\) −16.1699 + 13.1552i −0.577497 + 0.469829i
\(785\) −1.37303 6.60740i −0.0490056 0.235828i
\(786\) −32.8581 + 46.5493i −1.17201 + 1.66036i
\(787\) 38.2830 + 10.7264i 1.36464 + 0.382355i 0.872693 0.488269i \(-0.162372\pi\)
0.491949 + 0.870624i \(0.336285\pi\)
\(788\) −2.67927 2.86880i −0.0954451 0.102197i
\(789\) 6.40242 30.8101i 0.227932 1.09687i
\(790\) −4.48429 8.65428i −0.159544 0.307906i
\(791\) −4.95356 + 2.15163i −0.176128 + 0.0765033i
\(792\) 0.193914 + 2.83492i 0.00689042 + 0.100734i
\(793\) −31.9831 13.8922i −1.13575 0.493327i
\(794\) 10.8840 30.6248i 0.386260 1.08683i
\(795\) −55.1949 + 15.4649i −1.95756 + 0.548483i
\(796\) 1.23197 + 0.749177i 0.0436660 + 0.0265539i
\(797\) 39.4996 5.42910i 1.39915 0.192309i 0.603160 0.797620i \(-0.293908\pi\)
0.795989 + 0.605311i \(0.206951\pi\)
\(798\) −3.46324 −0.122597
\(799\) 1.47446 6.69522i 0.0521626 0.236860i
\(800\) −2.70007 −0.0954618
\(801\) 8.38054 1.15188i 0.296112 0.0406996i
\(802\) 38.2158 + 23.2396i 1.34945 + 0.820617i
\(803\) 6.65334 1.86418i 0.234791 0.0657854i
\(804\) 1.22487 3.44646i 0.0431979 0.121547i
\(805\) 0.783810 + 0.340457i 0.0276257 + 0.0119995i
\(806\) 2.86352 + 41.8632i 0.100863 + 1.47457i
\(807\) 7.49909 3.25731i 0.263980 0.114663i
\(808\) −23.8298 45.9894i −0.838328 1.61790i
\(809\) 1.57562 7.58231i 0.0553960 0.266580i −0.942271 0.334852i \(-0.891314\pi\)
0.997667 + 0.0682718i \(0.0217485\pi\)
\(810\) 18.1166 + 19.3981i 0.636552 + 0.681581i
\(811\) 9.60630 + 2.69156i 0.337323 + 0.0945134i 0.434287 0.900774i \(-0.357000\pi\)
−0.0969644 + 0.995288i \(0.530913\pi\)
\(812\) −0.378115 + 0.535667i −0.0132692 + 0.0187982i
\(813\) 6.39956 + 30.7964i 0.224442 + 1.08008i
\(814\) −0.633784 + 0.515622i −0.0222141 + 0.0180725i
\(815\) −9.45843 + 5.75180i −0.331314 + 0.201477i
\(816\) 4.74901 5.08495i 0.166249 0.178009i
\(817\) 7.80364 + 11.0552i 0.273015 + 0.386774i
\(818\) −8.77151 24.6807i −0.306689 0.862939i
\(819\) 0.304466 4.45114i 0.0106389 0.155536i
\(820\) −0.315035 + 0.607989i −0.0110015 + 0.0212319i
\(821\) −37.2912 30.3387i −1.30147 1.05883i −0.994238 0.107193i \(-0.965814\pi\)
−0.307235 0.951634i \(-0.599404\pi\)
\(822\) 26.9904 + 3.70974i 0.941397 + 0.129392i
\(823\) 49.8703 + 6.85452i 1.73837 + 0.238933i 0.934523 0.355903i \(-0.115827\pi\)
0.803847 + 0.594836i \(0.202783\pi\)
\(824\) 28.7205 + 23.3658i 1.00053 + 0.813988i
\(825\) 0.553887 1.06895i 0.0192839 0.0372162i
\(826\) 0.195203 2.85377i 0.00679199 0.0992954i
\(827\) −3.68947 10.3812i −0.128295 0.360988i 0.860664 0.509173i \(-0.170048\pi\)
−0.988960 + 0.148184i \(0.952657\pi\)
\(828\) −0.511651 0.724845i −0.0177811 0.0251901i
\(829\) −29.2813 + 31.3527i −1.01698 + 1.08892i −0.0209638 + 0.999780i \(0.506673\pi\)
−0.996019 + 0.0891423i \(0.971587\pi\)
\(830\) −20.7590 + 12.6238i −0.720556 + 0.438180i
\(831\) −1.38122 + 1.12371i −0.0479141 + 0.0389810i
\(832\) 8.69564 + 41.8457i 0.301467 + 1.45074i
\(833\) 3.93214 5.57057i 0.136241 0.193009i
\(834\) −13.5209 3.78837i −0.468190 0.131181i
\(835\) 11.7274 + 12.5570i 0.405843 + 0.434552i
\(836\) 0.0970692 0.467123i 0.00335721 0.0161558i
\(837\) −5.91771 11.4207i −0.204546 0.394756i
\(838\) −12.7314 + 5.53002i −0.439799 + 0.191031i
\(839\) 0.396375 + 5.79479i 0.0136844 + 0.200058i 0.999484 + 0.0321307i \(0.0102293\pi\)
−0.985799 + 0.167928i \(0.946292\pi\)
\(840\) −5.23680 2.27466i −0.180687 0.0784834i
\(841\) 4.59619 12.9324i 0.158489 0.445946i
\(842\) 1.36896 0.383565i 0.0471775 0.0132185i
\(843\) 16.1338 + 9.81117i 0.555677 + 0.337915i
\(844\) −7.73720 + 1.06345i −0.266326 + 0.0366056i
\(845\) −19.5946 −0.674074
\(846\) −17.2795 7.75079i −0.594080 0.266478i
\(847\) 4.60665 0.158287
\(848\) −39.2915 + 5.40049i −1.34927 + 0.185453i
\(849\) −39.1255 23.7928i −1.34278 0.816565i
\(850\) −1.50233 + 0.420932i −0.0515294 + 0.0144379i
\(851\) 0.519235 1.46099i 0.0177991 0.0500820i
\(852\) −8.89568 3.86394i −0.304761 0.132376i
\(853\) 1.74915 + 25.5717i 0.0598899 + 0.875559i 0.926434 + 0.376458i \(0.122858\pi\)
−0.866544 + 0.499101i \(0.833664\pi\)
\(854\) 3.59264 1.56050i 0.122938 0.0533993i
\(855\) 5.48809 + 10.5915i 0.187689 + 0.362223i
\(856\) 1.82100 8.76314i 0.0622405 0.299518i
\(857\) 8.27046 + 8.85550i 0.282514 + 0.302498i 0.856271 0.516527i \(-0.172776\pi\)
−0.573757 + 0.819025i \(0.694515\pi\)
\(858\) −5.73506 1.60689i −0.195792 0.0548583i
\(859\) −2.51087 + 3.55709i −0.0856698 + 0.121367i −0.857548 0.514404i \(-0.828013\pi\)
0.771878 + 0.635771i \(0.219318\pi\)
\(860\) 0.746790 + 3.59375i 0.0254653 + 0.122546i
\(861\) 0.673404 0.547855i 0.0229496 0.0186709i
\(862\) −21.9446 + 13.3448i −0.747436 + 0.454526i
\(863\) 7.35596 7.87631i 0.250400 0.268113i −0.593236 0.805029i \(-0.702150\pi\)
0.843636 + 0.536916i \(0.180411\pi\)
\(864\) −2.36126 3.34515i −0.0803319 0.113804i
\(865\) −3.66933 10.3245i −0.124761 0.351044i
\(866\) 1.55369 22.7141i 0.0527965 0.771858i
\(867\) −1.04706 + 2.02074i −0.0355601 + 0.0686278i
\(868\) 0.896625 + 0.729459i 0.0304334 + 0.0247594i
\(869\) −1.68646 0.231798i −0.0572091 0.00786322i
\(870\) −21.6810 2.97999i −0.735056 0.101031i
\(871\) 15.2104 + 12.3745i 0.515383 + 0.419295i
\(872\) 0.190056 0.366791i 0.00643611 0.0124211i
\(873\) 1.62758 23.7944i 0.0550853 0.805318i
\(874\) −1.23641 3.47892i −0.0418222 0.117676i
\(875\) 2.97133 + 4.20942i 0.100449 + 0.142304i
\(876\) 9.83847 10.5344i 0.332411 0.355925i
\(877\) −7.04588 + 4.28470i −0.237923 + 0.144684i −0.633484 0.773755i \(-0.718376\pi\)
0.395562 + 0.918439i \(0.370550\pi\)
\(878\) −0.390873 + 0.317998i −0.0131913 + 0.0107319i
\(879\) −11.5796 55.7243i −0.390572 1.87953i
\(880\) −1.47069 + 2.08350i −0.0495770 + 0.0702346i
\(881\) 34.2921 + 9.60820i 1.15533 + 0.323709i 0.793521 0.608543i \(-0.208246\pi\)
0.361810 + 0.932252i \(0.382159\pi\)
\(882\) −12.8564 13.7658i −0.432898 0.463520i
\(883\) −3.00876 + 14.4789i −0.101253 + 0.487255i 0.897662 + 0.440684i \(0.145264\pi\)
−0.998915 + 0.0465707i \(0.985171\pi\)
\(884\) −0.870789 1.68055i −0.0292878 0.0565229i
\(885\) −21.4748 + 9.32781i −0.721866 + 0.313551i
\(886\) −3.26036 47.6648i −0.109534 1.60133i
\(887\) −19.8130 8.60598i −0.665254 0.288961i 0.0386530 0.999253i \(-0.487693\pi\)
−0.703907 + 0.710292i \(0.748563\pi\)
\(888\) −3.46912 + 9.76116i −0.116416 + 0.327563i
\(889\) 0.461255 0.129238i 0.0154700 0.00433449i
\(890\) 8.15845 + 4.96126i 0.273472 + 0.166302i
\(891\) 4.59241 0.631213i 0.153852 0.0211464i
\(892\) 1.65798 0.0555133
\(893\) 14.8455 + 12.3737i 0.496787 + 0.414069i
\(894\) −19.0911 −0.638503
\(895\) 13.6992 1.88291i 0.457912 0.0629386i
\(896\) −2.50562 1.52370i −0.0837070 0.0509034i
\(897\) 10.8836 3.04944i 0.363392 0.101818i
\(898\) 7.18047 20.2039i 0.239615 0.674213i
\(899\) 24.6988 + 10.7282i 0.823751 + 0.357805i
\(900\) −0.0721257 1.05444i −0.00240419 0.0351480i
\(901\) 11.8992 5.16855i 0.396420 0.172189i
\(902\) −0.224364 0.433002i −0.00747049 0.0144174i
\(903\) 0.946750 4.55601i 0.0315059 0.151615i
\(904\) 26.2561 + 28.1134i 0.873265 + 0.935039i
\(905\) 22.7287 + 6.36828i 0.755527 + 0.211689i
\(906\) −9.81442 + 13.9039i −0.326062 + 0.461925i
\(907\) −4.71731 22.7010i −0.156636 0.753773i −0.981956 0.189108i \(-0.939440\pi\)
0.825320 0.564665i \(-0.190994\pi\)
\(908\) −8.47279 + 6.89312i −0.281179 + 0.228756i
\(909\) 31.7965 19.3359i 1.05462 0.641331i
\(910\) 3.43734 3.68049i 0.113947 0.122007i
\(911\) −19.1265 27.0960i −0.633688 0.897731i 0.365768 0.930706i \(-0.380806\pi\)
−0.999456 + 0.0329747i \(0.989502\pi\)
\(912\) 6.56826 + 18.4813i 0.217497 + 0.611977i
\(913\) −0.289571 + 4.23338i −0.00958341 + 0.140104i
\(914\) −7.50945 + 14.4926i −0.248390 + 0.479372i
\(915\) −24.8697 20.2330i −0.822167 0.668883i
\(916\) −6.19458 0.851425i −0.204675 0.0281319i
\(917\) −8.33576 1.14572i −0.275271 0.0378351i
\(918\) −1.83532 1.49314i −0.0605744 0.0492810i
\(919\) 11.1354 21.4903i 0.367321 0.708898i −0.630407 0.776265i \(-0.717112\pi\)
0.997728 + 0.0673669i \(0.0214598\pi\)
\(920\) 0.415377 6.07259i 0.0136946 0.200207i
\(921\) −10.8725 30.5921i −0.358259 1.00805i
\(922\) −14.3771 20.3677i −0.473484 0.670774i
\(923\) 35.4882 37.9985i 1.16811 1.25074i
\(924\) −0.140180 + 0.0852451i −0.00461157 + 0.00280436i
\(925\) 1.43275 1.16563i 0.0471087 0.0383258i
\(926\) −3.03136 14.5877i −0.0996165 0.479381i
\(927\) −15.3403 + 21.7323i −0.503842 + 0.713782i
\(928\) 8.25412 + 2.31270i 0.270955 + 0.0759179i
\(929\) −7.49140 8.02133i −0.245785 0.263171i 0.596000 0.802984i \(-0.296756\pi\)
−0.841785 + 0.539813i \(0.818495\pi\)
\(930\) −7.84940 + 37.7734i −0.257392 + 1.23864i
\(931\) 8.84317 + 17.0665i 0.289823 + 0.559333i
\(932\) −8.13305 + 3.53268i −0.266407 + 0.115717i
\(933\) 0.0918892 + 1.34337i 0.00300832 + 0.0439801i
\(934\) 8.26050 + 3.58804i 0.270292 + 0.117404i
\(935\) 0.279358 0.786039i 0.00913599 0.0257062i
\(936\) −30.5999 + 8.57370i −1.00019 + 0.280240i
\(937\) 12.8581 + 7.81921i 0.420057 + 0.255442i 0.713670 0.700482i \(-0.247032\pi\)
−0.293613 + 0.955924i \(0.594858\pi\)
\(938\) −2.18207 + 0.299919i −0.0712471 + 0.00979269i
\(939\) 3.00222 0.0979737
\(940\) 2.35627 + 4.68275i 0.0768531 + 0.152734i
\(941\) 40.0964 1.30711 0.653553 0.756880i \(-0.273278\pi\)
0.653553 + 0.756880i \(0.273278\pi\)
\(942\) 9.93301 1.36526i 0.323635 0.0444826i
\(943\) 0.790748 + 0.480864i 0.0257503 + 0.0156591i
\(944\) −15.5991 + 4.37067i −0.507708 + 0.142253i
\(945\) −0.516966 + 1.45460i −0.0168169 + 0.0473183i
\(946\) −2.39768 1.04146i −0.0779554 0.0338608i
\(947\) −2.58677 37.8172i −0.0840587 1.22889i −0.828030 0.560683i \(-0.810539\pi\)
0.743972 0.668211i \(-0.232940\pi\)
\(948\) −3.25724 + 1.41482i −0.105790 + 0.0459511i
\(949\) 35.5506 + 68.6096i 1.15402 + 2.22716i
\(950\) 0.894831 4.30616i 0.0290322 0.139710i
\(951\) 19.7709 + 21.1695i 0.641116 + 0.686468i
\(952\) 1.24430 + 0.348636i 0.0403279 + 0.0112994i
\(953\) 3.03481 4.29935i 0.0983072 0.139270i −0.764843 0.644216i \(-0.777184\pi\)
0.863150 + 0.504947i \(0.168488\pi\)
\(954\) −7.29135 35.0879i −0.236066 1.13601i
\(955\) 12.0529 9.80580i 0.390024 0.317308i
\(956\) 8.03771 4.88784i 0.259958 0.158084i
\(957\) −2.60883 + 2.79337i −0.0843315 + 0.0902970i
\(958\) −17.4321 24.6957i −0.563206 0.797881i
\(959\) 1.34730 + 3.79093i 0.0435064 + 0.122415i
\(960\) −2.68167 + 39.2046i −0.0865505 + 1.26532i
\(961\) 7.57773 14.6243i 0.244443 0.471753i
\(962\) −7.08792 5.76645i −0.228524 0.185918i
\(963\) 6.37065 + 0.875625i 0.205291 + 0.0282166i
\(964\) 1.74349 + 0.239637i 0.0561540 + 0.00771819i
\(965\) −31.4661 25.5995i −1.01293 0.824078i
\(966\) −0.584111 + 1.12728i −0.0187935 + 0.0362697i
\(967\) 2.70402 39.5313i 0.0869553 1.27124i −0.725502 0.688220i \(-0.758392\pi\)
0.812457 0.583021i \(-0.198129\pi\)
\(968\) −10.9880 30.9174i −0.353169 0.993723i
\(969\) −3.69984 5.24148i −0.118856 0.168380i
\(970\) 18.3749 19.6747i 0.589983 0.631717i
\(971\) 18.8230 11.4465i 0.604060 0.367337i −0.184008 0.982925i \(-0.558907\pi\)
0.788069 + 0.615587i \(0.211081\pi\)
\(972\) 5.79028 4.71074i 0.185723 0.151097i
\(973\) −0.421879 2.03019i −0.0135248 0.0650850i
\(974\) −3.61268 + 5.11801i −0.115758 + 0.163992i
\(975\) 12.9649 + 3.63259i 0.415209 + 0.116336i
\(976\) −15.1412 16.2122i −0.484657 0.518941i
\(977\) −2.52382 + 12.1453i −0.0807441 + 0.388562i −0.999987 0.00512934i \(-0.998367\pi\)
0.919243 + 0.393691i \(0.128802\pi\)
\(978\) −7.56662 14.6029i −0.241954 0.466949i
\(979\) 1.52958 0.664388i 0.0488854 0.0212339i
\(980\) 0.355802 + 5.20165i 0.0113657 + 0.166160i
\(981\) 0.272232 + 0.118247i 0.00869171 + 0.00377534i
\(982\) 9.50433 26.7426i 0.303295 0.853391i
\(983\) 26.8704 7.52874i 0.857034 0.240130i 0.186908 0.982377i \(-0.440153\pi\)
0.670125 + 0.742248i \(0.266240\pi\)
\(984\) −5.28315 3.21276i −0.168421 0.102419i
\(985\) 19.1678 2.63456i 0.610738 0.0839440i
\(986\) 4.95316 0.157741
\(987\) −0.374734 6.63521i −0.0119279 0.211201i
\(988\) 5.33566 0.169750
\(989\) 4.91464 0.675502i 0.156276 0.0214797i
\(990\) −1.96894 1.19734i −0.0625771 0.0380540i
\(991\) 26.2893 7.36591i 0.835106 0.233986i 0.174442 0.984667i \(-0.444188\pi\)
0.660664 + 0.750682i \(0.270275\pi\)
\(992\) 5.06049 14.2388i 0.160671 0.452084i
\(993\) 1.52222 + 0.661191i 0.0483060 + 0.0209823i
\(994\) 0.398561 + 5.82676i 0.0126416 + 0.184813i
\(995\) −6.51861 + 2.83143i −0.206654 + 0.0897624i
\(996\) 4.07249 + 7.85956i 0.129042 + 0.249040i
\(997\) −0.529213 + 2.54671i −0.0167603 + 0.0806552i −0.986633 0.162956i \(-0.947897\pi\)
0.969873 + 0.243611i \(0.0783320\pi\)
\(998\) 24.7832 + 26.5364i 0.784499 + 0.839994i
\(999\) 2.69709 + 0.755690i 0.0853322 + 0.0239090i
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 799.2.k.a.494.10 704
47.2 even 23 inner 799.2.k.a.613.10 yes 704
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
799.2.k.a.494.10 704 1.1 even 1 trivial
799.2.k.a.613.10 yes 704 47.2 even 23 inner