Properties

Label 483.2.bf.a.61.25
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(10,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 11, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.10");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.25
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.25

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.28527 + 1.01074i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(0.158786 + 0.654524i) q^{4} +(-2.14723 + 0.413845i) q^{5} +(-0.460657 - 1.56885i) q^{6} +(0.00533610 + 2.64575i) q^{7} +(0.901005 - 1.97293i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(1.28527 + 1.01074i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(0.158786 + 0.654524i) q^{4} +(-2.14723 + 0.413845i) q^{5} +(-0.460657 - 1.56885i) q^{6} +(0.00533610 + 2.64575i) q^{7} +(0.901005 - 1.97293i) q^{8} +(0.327068 + 0.945001i) q^{9} +(-3.17805 - 1.63840i) q^{10} +(3.99977 + 5.08612i) q^{11} +(0.250318 - 0.625264i) q^{12} +(1.48491 + 2.31057i) q^{13} +(-2.66731 + 3.40588i) q^{14} +(1.98914 + 0.908408i) q^{15} +(4.34943 - 2.24229i) q^{16} +(1.48037 + 1.41153i) q^{17} +(-0.534785 + 1.54516i) q^{18} +(-5.20877 + 4.96655i) q^{19} +(-0.611821 - 1.33970i) q^{20} +(1.53034 - 2.15826i) q^{21} +10.5797i q^{22} +(-4.77977 + 0.392123i) q^{23} +(-1.87835 + 1.08446i) q^{24} +(-0.202504 + 0.0810704i) q^{25} +(-0.426887 + 4.47056i) q^{26} +(0.281733 - 0.959493i) q^{27} +(-1.73086 + 0.423600i) q^{28} +(7.63476 - 2.24177i) q^{29} +(1.63840 + 3.17805i) q^{30} +(-0.702539 - 7.35732i) q^{31} +(3.59708 + 0.693281i) q^{32} +(-0.307876 - 6.46312i) q^{33} +(0.475973 + 3.31047i) q^{34} +(-1.10639 - 5.67882i) q^{35} +(-0.566592 + 0.364127i) q^{36} +(-2.95022 + 1.02108i) q^{37} +(-11.7146 + 1.11860i) q^{38} +(0.130687 - 2.74347i) q^{39} +(-1.11818 + 4.60921i) q^{40} +(1.77581 - 1.53875i) q^{41} +(4.14833 - 1.22715i) q^{42} +(4.43593 - 2.02582i) q^{43} +(-2.69388 + 3.42555i) q^{44} +(-1.09337 - 1.89378i) q^{45} +(-6.53961 - 4.32714i) q^{46} +(8.32740 + 4.80783i) q^{47} +(-4.84360 - 0.696404i) q^{48} +(-6.99994 + 0.0282359i) q^{49} +(-0.342213 - 0.100483i) q^{50} +(-0.387106 - 2.00850i) q^{51} +(-1.27654 + 1.33880i) q^{52} +(5.16597 + 0.246086i) q^{53} +(1.33190 - 0.948443i) q^{54} +(-10.6933 - 9.26579i) q^{55} +(5.22467 + 2.37330i) q^{56} +(7.12382 - 1.02425i) q^{57} +(12.0785 + 4.83552i) q^{58} +(-0.385011 + 0.746817i) q^{59} +(-0.278728 + 1.44618i) q^{60} +(-3.00353 - 4.21787i) q^{61} +(6.53342 - 10.1662i) q^{62} +(-2.49849 + 0.870381i) q^{63} +(-2.48652 - 2.86959i) q^{64} +(-4.14467 - 4.34680i) q^{65} +(6.13686 - 8.61801i) q^{66} +(-2.20171 - 5.49960i) q^{67} +(-0.688819 + 1.19307i) q^{68} +(4.12094 + 2.45313i) q^{69} +(4.31783 - 8.41706i) q^{70} +(-0.209481 + 1.45697i) q^{71} +(2.15911 + 0.206170i) q^{72} +(-3.38783 + 0.821878i) q^{73} +(-4.82386 - 1.66955i) q^{74} +(0.211980 + 0.0514259i) q^{75} +(-4.07781 - 2.62065i) q^{76} +(-13.4352 + 10.6095i) q^{77} +(2.94091 - 3.39399i) q^{78} +(-2.66020 + 0.126721i) q^{79} +(-8.41128 + 6.61470i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(3.83766 - 0.182810i) q^{82} +(-1.91431 + 2.20923i) q^{83} +(1.65563 + 0.658942i) q^{84} +(-3.76285 - 2.41824i) q^{85} +(7.74893 + 1.87987i) q^{86} +(-7.51944 - 2.60250i) q^{87} +(13.6383 - 3.30863i) q^{88} +(3.72235 + 0.355441i) q^{89} +(0.508850 - 3.53913i) q^{90} +(-6.10525 + 3.94103i) q^{91} +(-1.01561 - 3.06621i) q^{92} +(-3.69540 + 6.40061i) q^{93} +(5.84344 + 14.5962i) q^{94} +(9.12905 - 12.8200i) q^{95} +(-2.52796 - 2.65124i) q^{96} +(-2.30322 - 2.65806i) q^{97} +(-9.02532 - 7.03886i) q^{98} +(-3.49819 + 5.44329i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.28527 + 1.01074i 0.908820 + 0.714704i 0.958811 0.284046i \(-0.0916768\pi\)
−0.0499910 + 0.998750i \(0.515919\pi\)
\(3\) −0.814576 0.580057i −0.470296 0.334896i
\(4\) 0.158786 + 0.654524i 0.0793929 + 0.327262i
\(5\) −2.14723 + 0.413845i −0.960271 + 0.185077i −0.645219 0.763997i \(-0.723234\pi\)
−0.315052 + 0.949074i \(0.602022\pi\)
\(6\) −0.460657 1.56885i −0.188063 0.640482i
\(7\) 0.00533610 + 2.64575i 0.00201686 + 0.999998i
\(8\) 0.901005 1.97293i 0.318553 0.697535i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) −3.17805 1.63840i −1.00499 0.518108i
\(11\) 3.99977 + 5.08612i 1.20598 + 1.53352i 0.776068 + 0.630649i \(0.217211\pi\)
0.429907 + 0.902873i \(0.358546\pi\)
\(12\) 0.250318 0.625264i 0.0722606 0.180498i
\(13\) 1.48491 + 2.31057i 0.411841 + 0.640836i 0.983763 0.179471i \(-0.0574386\pi\)
−0.571923 + 0.820308i \(0.693802\pi\)
\(14\) −2.66731 + 3.40588i −0.712869 + 0.910259i
\(15\) 1.98914 + 0.908408i 0.513593 + 0.234550i
\(16\) 4.34943 2.24229i 1.08736 0.560572i
\(17\) 1.48037 + 1.41153i 0.359043 + 0.342347i 0.848034 0.529942i \(-0.177786\pi\)
−0.488991 + 0.872289i \(0.662635\pi\)
\(18\) −0.534785 + 1.54516i −0.126050 + 0.364197i
\(19\) −5.20877 + 4.96655i −1.19497 + 1.13941i −0.208067 + 0.978115i \(0.566717\pi\)
−0.986907 + 0.161290i \(0.948434\pi\)
\(20\) −0.611821 1.33970i −0.136807 0.299566i
\(21\) 1.53034 2.15826i 0.333947 0.470970i
\(22\) 10.5797i 2.25561i
\(23\) −4.77977 + 0.392123i −0.996652 + 0.0817633i
\(24\) −1.87835 + 1.08446i −0.383416 + 0.221365i
\(25\) −0.202504 + 0.0810704i −0.0405008 + 0.0162141i
\(26\) −0.426887 + 4.47056i −0.0837194 + 0.876749i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) −1.73086 + 0.423600i −0.327101 + 0.0800528i
\(29\) 7.63476 2.24177i 1.41774 0.416286i 0.519002 0.854773i \(-0.326304\pi\)
0.898737 + 0.438487i \(0.144486\pi\)
\(30\) 1.63840 + 3.17805i 0.299130 + 0.580230i
\(31\) −0.702539 7.35732i −0.126180 1.32141i −0.807691 0.589607i \(-0.799283\pi\)
0.681511 0.731808i \(-0.261323\pi\)
\(32\) 3.59708 + 0.693281i 0.635881 + 0.122556i
\(33\) −0.307876 6.46312i −0.0535944 1.12509i
\(34\) 0.475973 + 3.31047i 0.0816288 + 0.567740i
\(35\) −1.10639 5.67882i −0.187013 0.959896i
\(36\) −0.566592 + 0.364127i −0.0944320 + 0.0606878i
\(37\) −2.95022 + 1.02108i −0.485012 + 0.167864i −0.558621 0.829423i \(-0.688670\pi\)
0.0736090 + 0.997287i \(0.476548\pi\)
\(38\) −11.7146 + 1.11860i −1.90035 + 0.181462i
\(39\) 0.130687 2.74347i 0.0209267 0.439306i
\(40\) −1.11818 + 4.60921i −0.176800 + 0.728779i
\(41\) 1.77581 1.53875i 0.277335 0.240312i −0.505076 0.863075i \(-0.668535\pi\)
0.782410 + 0.622763i \(0.213990\pi\)
\(42\) 4.14833 1.22715i 0.640102 0.189354i
\(43\) 4.43593 2.02582i 0.676473 0.308935i −0.0473921 0.998876i \(-0.515091\pi\)
0.723865 + 0.689941i \(0.242364\pi\)
\(44\) −2.69388 + 3.42555i −0.406118 + 0.516421i
\(45\) −1.09337 1.89378i −0.162991 0.282308i
\(46\) −6.53961 4.32714i −0.964213 0.638003i
\(47\) 8.32740 + 4.80783i 1.21468 + 0.701294i 0.963774 0.266719i \(-0.0859395\pi\)
0.250902 + 0.968013i \(0.419273\pi\)
\(48\) −4.84360 0.696404i −0.699113 0.100517i
\(49\) −6.99994 + 0.0282359i −0.999992 + 0.00403371i
\(50\) −0.342213 0.100483i −0.0483962 0.0142104i
\(51\) −0.387106 2.00850i −0.0542057 0.281246i
\(52\) −1.27654 + 1.33880i −0.177024 + 0.185658i
\(53\) 5.16597 + 0.246086i 0.709601 + 0.0338025i 0.399280 0.916829i \(-0.369260\pi\)
0.310321 + 0.950632i \(0.399563\pi\)
\(54\) 1.33190 0.948443i 0.181249 0.129067i
\(55\) −10.6933 9.26579i −1.44188 1.24940i
\(56\) 5.22467 + 2.37330i 0.698176 + 0.317146i
\(57\) 7.12382 1.02425i 0.943573 0.135665i
\(58\) 12.0785 + 4.83552i 1.58599 + 0.634935i
\(59\) −0.385011 + 0.746817i −0.0501242 + 0.0972273i −0.912567 0.408927i \(-0.865903\pi\)
0.862443 + 0.506154i \(0.168933\pi\)
\(60\) −0.278728 + 1.44618i −0.0359837 + 0.186701i
\(61\) −3.00353 4.21787i −0.384563 0.540043i 0.576238 0.817282i \(-0.304520\pi\)
−0.960801 + 0.277239i \(0.910581\pi\)
\(62\) 6.53342 10.1662i 0.829745 1.29111i
\(63\) −2.49849 + 0.870381i −0.314780 + 0.109658i
\(64\) −2.48652 2.86959i −0.310815 0.358699i
\(65\) −4.14467 4.34680i −0.514083 0.539154i
\(66\) 6.13686 8.61801i 0.755395 1.06080i
\(67\) −2.20171 5.49960i −0.268982 0.671883i 0.730963 0.682417i \(-0.239071\pi\)
−0.999945 + 0.0105337i \(0.996647\pi\)
\(68\) −0.688819 + 1.19307i −0.0835316 + 0.144681i
\(69\) 4.12094 + 2.45313i 0.496103 + 0.295322i
\(70\) 4.31783 8.41706i 0.516080 1.00603i
\(71\) −0.209481 + 1.45697i −0.0248608 + 0.172911i −0.998469 0.0553155i \(-0.982384\pi\)
0.973608 + 0.228226i \(0.0732926\pi\)
\(72\) 2.15911 + 0.206170i 0.254453 + 0.0242973i
\(73\) −3.38783 + 0.821878i −0.396515 + 0.0961935i −0.429058 0.903277i \(-0.641154\pi\)
0.0325432 + 0.999470i \(0.489639\pi\)
\(74\) −4.82386 1.66955i −0.560762 0.194082i
\(75\) 0.211980 + 0.0514259i 0.0244774 + 0.00593815i
\(76\) −4.07781 2.62065i −0.467756 0.300609i
\(77\) −13.4352 + 10.6095i −1.53109 + 1.20907i
\(78\) 2.94091 3.39399i 0.332992 0.384294i
\(79\) −2.66020 + 0.126721i −0.299296 + 0.0142572i −0.196693 0.980465i \(-0.563020\pi\)
−0.102603 + 0.994722i \(0.532717\pi\)
\(80\) −8.41128 + 6.61470i −0.940409 + 0.739546i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) 3.83766 0.182810i 0.423799 0.0201880i
\(83\) −1.91431 + 2.20923i −0.210123 + 0.242494i −0.851021 0.525131i \(-0.824016\pi\)
0.640899 + 0.767625i \(0.278562\pi\)
\(84\) 1.65563 + 0.658942i 0.180644 + 0.0718964i
\(85\) −3.76285 2.41824i −0.408139 0.262295i
\(86\) 7.74893 + 1.87987i 0.835589 + 0.202712i
\(87\) −7.51944 2.60250i −0.806169 0.279018i
\(88\) 13.6383 3.30863i 1.45385 0.352701i
\(89\) 3.72235 + 0.355441i 0.394568 + 0.0376767i 0.290455 0.956889i \(-0.406193\pi\)
0.104113 + 0.994565i \(0.466800\pi\)
\(90\) 0.508850 3.53913i 0.0536375 0.373057i
\(91\) −6.10525 + 3.94103i −0.640004 + 0.413132i
\(92\) −1.01561 3.06621i −0.105885 0.319675i
\(93\) −3.69540 + 6.40061i −0.383195 + 0.663713i
\(94\) 5.84344 + 14.5962i 0.602705 + 1.50548i
\(95\) 9.12905 12.8200i 0.936621 1.31530i
\(96\) −2.52796 2.65124i −0.258008 0.270591i
\(97\) −2.30322 2.65806i −0.233857 0.269885i 0.626676 0.779280i \(-0.284415\pi\)
−0.860533 + 0.509394i \(0.829869\pi\)
\(98\) −9.02532 7.03886i −0.911695 0.711032i
\(99\) −3.49819 + 5.44329i −0.351581 + 0.547071i
\(100\) −0.0852173 0.119671i −0.00852173 0.0119671i
\(101\) 2.61042 13.5442i 0.259747 1.34770i −0.584349 0.811503i \(-0.698650\pi\)
0.844096 0.536193i \(-0.180138\pi\)
\(102\) 1.53254 2.97272i 0.151744 0.294343i
\(103\) 3.55703 + 1.42402i 0.350484 + 0.140313i 0.540223 0.841522i \(-0.318340\pi\)
−0.189739 + 0.981835i \(0.560764\pi\)
\(104\) 5.89649 0.847788i 0.578199 0.0831324i
\(105\) −2.39280 + 5.26760i −0.233514 + 0.514065i
\(106\) 6.39092 + 5.53776i 0.620741 + 0.537875i
\(107\) 0.952219 0.678072i 0.0920545 0.0655517i −0.533103 0.846050i \(-0.678974\pi\)
0.625157 + 0.780499i \(0.285035\pi\)
\(108\) 0.672746 + 0.0320469i 0.0647350 + 0.00308371i
\(109\) −2.60635 + 2.73346i −0.249643 + 0.261818i −0.836618 0.547787i \(-0.815470\pi\)
0.586974 + 0.809605i \(0.300319\pi\)
\(110\) −4.37838 22.7172i −0.417462 2.16600i
\(111\) 2.99546 + 0.879546i 0.284316 + 0.0834828i
\(112\) 5.95573 + 11.4955i 0.562764 + 1.08622i
\(113\) −9.97837 1.43467i −0.938686 0.134963i −0.344044 0.938953i \(-0.611797\pi\)
−0.594642 + 0.803991i \(0.702706\pi\)
\(114\) 10.1913 + 5.88392i 0.954498 + 0.551080i
\(115\) 10.1010 2.82006i 0.941923 0.262972i
\(116\) 2.67958 + 4.64117i 0.248793 + 0.430922i
\(117\) −1.69782 + 2.15896i −0.156964 + 0.199596i
\(118\) −1.24968 + 0.570711i −0.115043 + 0.0525382i
\(119\) −3.72665 + 3.92422i −0.341622 + 0.359732i
\(120\) 3.58444 3.10594i 0.327214 0.283532i
\(121\) −7.27711 + 29.9966i −0.661555 + 2.72697i
\(122\) 0.402851 8.45688i 0.0364724 0.765650i
\(123\) −2.33909 + 0.223356i −0.210909 + 0.0201394i
\(124\) 4.70399 1.62807i 0.422431 0.146205i
\(125\) 9.59932 6.16911i 0.858590 0.551782i
\(126\) −4.09095 1.40666i −0.364451 0.125315i
\(127\) 1.64778 + 11.4606i 0.146217 + 1.01696i 0.922339 + 0.386381i \(0.126275\pi\)
−0.776122 + 0.630583i \(0.782816\pi\)
\(128\) −0.644022 13.5197i −0.0569241 1.19498i
\(129\) −4.78849 0.922907i −0.421603 0.0812574i
\(130\) −0.933494 9.77599i −0.0818728 0.857411i
\(131\) 7.18072 + 13.9286i 0.627382 + 1.21695i 0.961600 + 0.274456i \(0.0884977\pi\)
−0.334218 + 0.942496i \(0.608472\pi\)
\(132\) 4.18138 1.22776i 0.363943 0.106863i
\(133\) −13.1680 13.7546i −1.14181 1.19267i
\(134\) 2.72891 9.29381i 0.235742 0.802863i
\(135\) −0.207864 + 2.17685i −0.0178901 + 0.187353i
\(136\) 4.11867 1.64887i 0.353173 0.141389i
\(137\) 15.8164 9.13160i 1.35129 0.780165i 0.362856 0.931845i \(-0.381802\pi\)
0.988430 + 0.151680i \(0.0484683\pi\)
\(138\) 2.81702 + 7.31814i 0.239801 + 0.622961i
\(139\) 18.9782i 1.60971i −0.593470 0.804856i \(-0.702242\pi\)
0.593470 0.804856i \(-0.297758\pi\)
\(140\) 3.54125 1.62587i 0.299290 0.137411i
\(141\) −3.99449 8.74671i −0.336397 0.736606i
\(142\) −1.74187 + 1.66086i −0.146174 + 0.139377i
\(143\) −5.81252 + 16.7942i −0.486067 + 1.40440i
\(144\) 3.54152 + 3.37684i 0.295127 + 0.281403i
\(145\) −15.4659 + 7.97320i −1.28437 + 0.662138i
\(146\) −5.18496 2.36789i −0.429110 0.195968i
\(147\) 5.71836 + 4.03737i 0.471643 + 0.332996i
\(148\) −1.13677 1.76885i −0.0934422 0.145399i
\(149\) 4.51480 11.2774i 0.369866 0.923882i −0.620348 0.784327i \(-0.713009\pi\)
0.990214 0.139555i \(-0.0445672\pi\)
\(150\) 0.220473 + 0.280354i 0.0180015 + 0.0228908i
\(151\) 18.3014 + 9.43505i 1.48935 + 0.767813i 0.994849 0.101364i \(-0.0323206\pi\)
0.494501 + 0.869177i \(0.335351\pi\)
\(152\) 5.10551 + 14.7514i 0.414112 + 1.19650i
\(153\) −0.849716 + 1.86062i −0.0686955 + 0.150422i
\(154\) −27.9913 + 0.0564546i −2.25561 + 0.00454924i
\(155\) 4.55331 + 15.5071i 0.365730 + 1.24556i
\(156\) 1.81642 0.350086i 0.145430 0.0280293i
\(157\) −0.195188 0.804576i −0.0155777 0.0642122i 0.963492 0.267736i \(-0.0862756\pi\)
−0.979070 + 0.203524i \(0.934760\pi\)
\(158\) −3.54715 2.52591i −0.282196 0.200951i
\(159\) −4.06533 3.19701i −0.322402 0.253540i
\(160\) −8.01068 −0.633300
\(161\) −1.06296 12.6440i −0.0837732 0.996485i
\(162\) −1.63509 −0.128465
\(163\) 7.83741 + 6.16341i 0.613874 + 0.482756i 0.876021 0.482272i \(-0.160188\pi\)
−0.262148 + 0.965028i \(0.584431\pi\)
\(164\) 1.28912 + 0.917978i 0.100663 + 0.0716821i
\(165\) 3.33581 + 13.7504i 0.259693 + 1.07047i
\(166\) −4.69336 + 0.904571i −0.364275 + 0.0702083i
\(167\) 2.62585 + 8.94282i 0.203194 + 0.692017i 0.996530 + 0.0832322i \(0.0265243\pi\)
−0.793336 + 0.608784i \(0.791657\pi\)
\(168\) −2.87924 4.96384i −0.222138 0.382969i
\(169\) 2.26663 4.96323i 0.174356 0.381787i
\(170\) −2.39205 6.91136i −0.183461 0.530077i
\(171\) −6.39702 3.29789i −0.489192 0.252196i
\(172\) 2.03031 + 2.58175i 0.154810 + 0.196857i
\(173\) 9.23637 23.0713i 0.702228 1.75408i 0.0467020 0.998909i \(-0.485129\pi\)
0.655526 0.755172i \(-0.272447\pi\)
\(174\) −7.03401 10.9451i −0.533247 0.829749i
\(175\) −0.215572 0.535342i −0.0162957 0.0404680i
\(176\) 28.8012 + 13.1531i 2.17098 + 0.991451i
\(177\) 0.746817 0.385011i 0.0561342 0.0289392i
\(178\) 4.42494 + 4.21917i 0.331664 + 0.316241i
\(179\) 2.62147 7.57424i 0.195938 0.566125i −0.803642 0.595113i \(-0.797107\pi\)
0.999580 + 0.0289878i \(0.00922840\pi\)
\(180\) 1.06591 1.01635i 0.0794484 0.0757539i
\(181\) 2.75873 + 6.04077i 0.205054 + 0.449007i 0.984020 0.178061i \(-0.0569823\pi\)
−0.778965 + 0.627067i \(0.784255\pi\)
\(182\) −11.8302 1.10558i −0.876916 0.0819509i
\(183\) 5.17800i 0.382768i
\(184\) −3.53297 + 9.78345i −0.260454 + 0.721245i
\(185\) 5.91223 3.41343i 0.434676 0.250960i
\(186\) −11.2189 + 4.49139i −0.822613 + 0.329324i
\(187\) −1.25807 + 13.1751i −0.0919994 + 0.963461i
\(188\) −1.82457 + 6.21390i −0.133070 + 0.453195i
\(189\) 2.54008 + 0.740273i 0.184763 + 0.0538469i
\(190\) 24.6909 7.24992i 1.79127 0.525964i
\(191\) −1.12963 2.19118i −0.0817372 0.158548i 0.844425 0.535674i \(-0.179943\pi\)
−0.926162 + 0.377126i \(0.876912\pi\)
\(192\) 0.360930 + 3.77982i 0.0260478 + 0.272785i
\(193\) −25.6721 4.94789i −1.84792 0.356157i −0.859894 0.510472i \(-0.829471\pi\)
−0.988022 + 0.154316i \(0.950683\pi\)
\(194\) −0.273634 5.74429i −0.0196458 0.412416i
\(195\) 0.854754 + 5.94494i 0.0612102 + 0.425726i
\(196\) −1.12997 4.57715i −0.0807123 0.326939i
\(197\) −0.837736 + 0.538380i −0.0596862 + 0.0383580i −0.570144 0.821545i \(-0.693112\pi\)
0.510457 + 0.859903i \(0.329476\pi\)
\(198\) −9.99787 + 3.46030i −0.710518 + 0.245913i
\(199\) 5.15834 0.492562i 0.365665 0.0349168i 0.0893935 0.995996i \(-0.471507\pi\)
0.276272 + 0.961080i \(0.410901\pi\)
\(200\) −0.0225113 + 0.472570i −0.00159179 + 0.0334158i
\(201\) −1.39662 + 5.75696i −0.0985102 + 0.406065i
\(202\) 17.0448 14.7694i 1.19927 1.03917i
\(203\) 5.97189 + 20.1877i 0.419144 + 1.41690i
\(204\) 1.25314 0.572292i 0.0877376 0.0400684i
\(205\) −3.17627 + 4.03896i −0.221840 + 0.282093i
\(206\) 3.13240 + 5.42548i 0.218245 + 0.378011i
\(207\) −1.93387 4.38864i −0.134413 0.305032i
\(208\) 11.6395 + 6.72006i 0.807053 + 0.465952i
\(209\) −46.0943 6.62736i −3.18841 0.458424i
\(210\) −8.39958 + 4.35175i −0.579626 + 0.300299i
\(211\) 4.75554 + 1.39635i 0.327385 + 0.0961288i 0.441295 0.897362i \(-0.354519\pi\)
−0.113910 + 0.993491i \(0.536338\pi\)
\(212\) 0.659214 + 3.42033i 0.0452750 + 0.234909i
\(213\) 1.01577 1.06530i 0.0695991 0.0729934i
\(214\) 1.90921 + 0.0909470i 0.130511 + 0.00621701i
\(215\) −8.68659 + 6.18570i −0.592421 + 0.421861i
\(216\) −1.63917 1.42035i −0.111531 0.0966423i
\(217\) 19.4619 1.89800i 1.32116 0.128845i
\(218\) −6.11269 + 0.878872i −0.414003 + 0.0595247i
\(219\) 3.23638 + 1.29565i 0.218694 + 0.0875519i
\(220\) 4.36674 8.47029i 0.294405 0.571067i
\(221\) −1.06322 + 5.51650i −0.0715198 + 0.371080i
\(222\) 2.96096 + 4.15809i 0.198727 + 0.279073i
\(223\) −8.88097 + 13.8191i −0.594714 + 0.925393i 0.405224 + 0.914217i \(0.367194\pi\)
−0.999938 + 0.0111750i \(0.996443\pi\)
\(224\) −1.81505 + 9.52067i −0.121273 + 0.636127i
\(225\) −0.142844 0.164851i −0.00952294 0.0109901i
\(226\) −11.3748 11.9295i −0.756638 0.793539i
\(227\) −10.4549 + 14.6818i −0.693914 + 0.974465i 0.305836 + 0.952084i \(0.401064\pi\)
−0.999750 + 0.0223812i \(0.992875\pi\)
\(228\) 1.80156 + 4.50008i 0.119311 + 0.298025i
\(229\) 9.33743 16.1729i 0.617035 1.06874i −0.372989 0.927836i \(-0.621667\pi\)
0.990024 0.140900i \(-0.0449995\pi\)
\(230\) 15.8328 + 6.58500i 1.04399 + 0.434202i
\(231\) 17.0981 0.849051i 1.12497 0.0558634i
\(232\) 2.45612 17.0827i 0.161252 1.12153i
\(233\) −23.7226 2.26524i −1.55412 0.148401i −0.717647 0.696407i \(-0.754781\pi\)
−0.836474 + 0.548006i \(0.815387\pi\)
\(234\) −4.36430 + 1.05877i −0.285303 + 0.0692139i
\(235\) −19.8706 6.87727i −1.29621 0.448623i
\(236\) −0.549944 0.133415i −0.0357983 0.00868458i
\(237\) 2.24044 + 1.43985i 0.145532 + 0.0935280i
\(238\) −8.75612 + 1.27697i −0.567575 + 0.0827736i
\(239\) 8.52343 9.83657i 0.551335 0.636275i −0.409859 0.912149i \(-0.634422\pi\)
0.961194 + 0.275874i \(0.0889674\pi\)
\(240\) 10.6885 0.509157i 0.689941 0.0328660i
\(241\) 14.1385 11.1187i 0.910744 0.716217i −0.0484920 0.998824i \(-0.515442\pi\)
0.959236 + 0.282607i \(0.0911991\pi\)
\(242\) −39.6719 + 31.1984i −2.55021 + 2.00551i
\(243\) 0.998867 0.0475819i 0.0640774 0.00305238i
\(244\) 2.28378 2.63562i 0.146204 0.168728i
\(245\) 15.0188 2.95752i 0.959517 0.188949i
\(246\) −3.23211 2.07715i −0.206072 0.132434i
\(247\) −19.2101 4.66033i −1.22231 0.296529i
\(248\) −15.1484 5.24293i −0.961927 0.332926i
\(249\) 2.84083 0.689178i 0.180030 0.0436749i
\(250\) 18.5731 + 1.77351i 1.17466 + 0.112167i
\(251\) 2.75342 19.1505i 0.173795 1.20877i −0.696982 0.717089i \(-0.745474\pi\)
0.870777 0.491679i \(-0.163617\pi\)
\(252\) −0.966410 1.49712i −0.0608781 0.0943094i
\(253\) −21.1124 22.7421i −1.32732 1.42978i
\(254\) −9.46588 + 16.3954i −0.593942 + 1.02874i
\(255\) 1.66241 + 4.15251i 0.104104 + 0.260040i
\(256\) 8.43223 11.8414i 0.527015 0.740088i
\(257\) −3.37137 3.53579i −0.210300 0.220557i 0.610133 0.792299i \(-0.291116\pi\)
−0.820433 + 0.571743i \(0.806268\pi\)
\(258\) −5.22166 6.02612i −0.325086 0.375170i
\(259\) −2.71726 7.80007i −0.168842 0.484673i
\(260\) 2.18697 3.40300i 0.135630 0.211045i
\(261\) 4.61556 + 6.48164i 0.285696 + 0.401204i
\(262\) −4.84917 + 25.1599i −0.299583 + 1.55438i
\(263\) −3.87417 + 7.51484i −0.238892 + 0.463385i −0.977552 0.210692i \(-0.932428\pi\)
0.738661 + 0.674077i \(0.235459\pi\)
\(264\) −13.0287 5.21589i −0.801859 0.321016i
\(265\) −11.1944 + 1.60951i −0.687666 + 0.0988714i
\(266\) −3.02205 30.9878i −0.185294 1.89998i
\(267\) −2.82596 2.44871i −0.172946 0.149858i
\(268\) 3.25002 2.31433i 0.198527 0.141370i
\(269\) 13.7842 + 0.656623i 0.840438 + 0.0400350i 0.463386 0.886157i \(-0.346634\pi\)
0.377053 + 0.926192i \(0.376938\pi\)
\(270\) −2.46739 + 2.58773i −0.150161 + 0.157484i
\(271\) −0.210610 1.09275i −0.0127937 0.0663798i 0.974971 0.222333i \(-0.0713672\pi\)
−0.987764 + 0.155953i \(0.950155\pi\)
\(272\) 9.60383 + 2.81994i 0.582318 + 0.170984i
\(273\) 7.25921 + 0.331126i 0.439348 + 0.0200407i
\(274\) 29.5580 + 4.24979i 1.78566 + 0.256739i
\(275\) −1.22230 0.705697i −0.0737076 0.0425551i
\(276\) −0.951283 + 3.08678i −0.0572605 + 0.185802i
\(277\) 9.69977 + 16.8005i 0.582803 + 1.00944i 0.995145 + 0.0984151i \(0.0313773\pi\)
−0.412343 + 0.911029i \(0.635289\pi\)
\(278\) 19.1821 24.3921i 1.15047 1.46294i
\(279\) 6.72290 3.07025i 0.402489 0.183811i
\(280\) −12.2008 2.93383i −0.729134 0.175330i
\(281\) −21.0553 + 18.2445i −1.25605 + 1.08838i −0.263745 + 0.964592i \(0.584958\pi\)
−0.992309 + 0.123785i \(0.960497\pi\)
\(282\) 3.70670 15.2792i 0.220731 0.909866i
\(283\) 0.898367 18.8590i 0.0534024 1.12105i −0.800067 0.599911i \(-0.795203\pi\)
0.853469 0.521143i \(-0.174494\pi\)
\(284\) −0.986887 + 0.0942362i −0.0585609 + 0.00559189i
\(285\) −14.8726 + 5.14746i −0.880977 + 0.304909i
\(286\) −24.4452 + 15.7100i −1.44548 + 0.928952i
\(287\) 4.08061 + 4.69013i 0.240871 + 0.276850i
\(288\) 0.521340 + 3.62600i 0.0307202 + 0.213664i
\(289\) −0.609814 12.8016i −0.0358714 0.753033i
\(290\) −27.9366 5.38433i −1.64049 0.316179i
\(291\) 0.334324 + 3.50120i 0.0195984 + 0.205244i
\(292\) −1.07588 2.08691i −0.0629610 0.122127i
\(293\) 16.6287 4.88262i 0.971458 0.285246i 0.242764 0.970085i \(-0.421946\pi\)
0.728694 + 0.684840i \(0.240128\pi\)
\(294\) 3.26887 + 10.9689i 0.190645 + 0.639718i
\(295\) 0.517641 1.76292i 0.0301382 0.102641i
\(296\) −0.643645 + 6.74056i −0.0374111 + 0.391787i
\(297\) 6.00696 2.40482i 0.348559 0.139542i
\(298\) 17.2013 9.93117i 0.996444 0.575297i
\(299\) −8.00357 10.4617i −0.462858 0.605017i
\(300\) 0.146912i 0.00848196i
\(301\) 5.38348 + 11.7255i 0.310299 + 0.675849i
\(302\) 13.9858 + 30.6246i 0.804792 + 1.76225i
\(303\) −9.98278 + 9.51856i −0.573496 + 0.546827i
\(304\) −11.5187 + 33.2812i −0.660645 + 1.90881i
\(305\) 8.19482 + 7.81375i 0.469234 + 0.447414i
\(306\) −2.97272 + 1.53254i −0.169939 + 0.0876097i
\(307\) 14.4674 + 6.60705i 0.825699 + 0.377084i 0.783014 0.622004i \(-0.213681\pi\)
0.0426855 + 0.999089i \(0.486409\pi\)
\(308\) −9.07750 7.10904i −0.517239 0.405075i
\(309\) −2.07146 3.22325i −0.117841 0.183364i
\(310\) −9.82153 + 24.5330i −0.557826 + 1.39338i
\(311\) 14.5176 + 18.4607i 0.823219 + 1.04681i 0.998063 + 0.0622117i \(0.0198154\pi\)
−0.174844 + 0.984596i \(0.555942\pi\)
\(312\) −5.29491 2.72971i −0.299765 0.154540i
\(313\) 7.76977 + 22.4493i 0.439173 + 1.26891i 0.919940 + 0.392060i \(0.128237\pi\)
−0.480766 + 0.876849i \(0.659641\pi\)
\(314\) 0.562352 1.23138i 0.0317353 0.0694907i
\(315\) 5.00463 2.90290i 0.281979 0.163560i
\(316\) −0.505345 1.72105i −0.0284278 0.0968164i
\(317\) −12.6600 + 2.44001i −0.711055 + 0.137045i −0.531938 0.846783i \(-0.678536\pi\)
−0.179117 + 0.983828i \(0.557324\pi\)
\(318\) −1.99367 8.21802i −0.111799 0.460844i
\(319\) 41.9392 + 29.8647i 2.34814 + 1.67210i
\(320\) 6.52670 + 5.13265i 0.364853 + 0.286924i
\(321\) −1.16898 −0.0652459
\(322\) 11.4136 17.3252i 0.636057 0.965498i
\(323\) −14.7214 −0.819118
\(324\) −0.529414 0.416336i −0.0294119 0.0231298i
\(325\) −0.488019 0.347517i −0.0270704 0.0192768i
\(326\) 3.84353 + 15.8432i 0.212873 + 0.877475i
\(327\) 3.70864 0.714781i 0.205088 0.0395275i
\(328\) −1.43582 4.88996i −0.0792800 0.270003i
\(329\) −12.6759 + 22.0578i −0.698842 + 1.21609i
\(330\) −9.61073 + 21.0446i −0.529053 + 1.15847i
\(331\) −4.35256 12.5759i −0.239238 0.691234i −0.999151 0.0412082i \(-0.986879\pi\)
0.759912 0.650026i \(-0.225242\pi\)
\(332\) −1.74996 0.902167i −0.0960415 0.0495128i
\(333\) −1.92984 2.45399i −0.105755 0.134478i
\(334\) −5.66399 + 14.1480i −0.309920 + 0.774142i
\(335\) 7.00356 + 10.8978i 0.382645 + 0.595408i
\(336\) 1.81666 12.8186i 0.0991070 0.699314i
\(337\) −2.38902 1.09103i −0.130138 0.0594322i 0.349282 0.937018i \(-0.386426\pi\)
−0.479420 + 0.877586i \(0.659153\pi\)
\(338\) 7.92978 4.08809i 0.431323 0.222363i
\(339\) 7.29595 + 6.95667i 0.396262 + 0.377835i
\(340\) 0.985308 2.84686i 0.0534358 0.154393i
\(341\) 34.6102 33.0008i 1.87425 1.78709i
\(342\) −4.88854 10.7044i −0.264342 0.578828i
\(343\) −0.112058 18.5199i −0.00605054 0.999982i
\(344\) 10.5770i 0.570276i
\(345\) −9.86383 3.56200i −0.531051 0.191772i
\(346\) 35.1904 20.3172i 1.89185 1.09226i
\(347\) −20.5985 + 8.24639i −1.10578 + 0.442689i −0.851455 0.524428i \(-0.824279\pi\)
−0.254330 + 0.967118i \(0.581855\pi\)
\(348\) 0.509421 5.33490i 0.0273078 0.285981i
\(349\) −1.10338 + 3.75777i −0.0590627 + 0.201149i −0.983739 0.179606i \(-0.942518\pi\)
0.924676 + 0.380755i \(0.124336\pi\)
\(350\) 0.264026 0.905944i 0.0141128 0.0484248i
\(351\) 2.63532 0.773800i 0.140663 0.0413024i
\(352\) 10.8614 + 21.0682i 0.578914 + 1.12294i
\(353\) 2.85316 + 29.8796i 0.151858 + 1.59033i 0.674824 + 0.737979i \(0.264219\pi\)
−0.522966 + 0.852354i \(0.675174\pi\)
\(354\) 1.34901 + 0.260000i 0.0716988 + 0.0138188i
\(355\) −0.153157 3.21515i −0.00812870 0.170643i
\(356\) 0.358411 + 2.49280i 0.0189958 + 0.132118i
\(357\) 5.31191 1.03490i 0.281136 0.0547729i
\(358\) 11.0249 7.08527i 0.582684 0.374468i
\(359\) 21.1939 7.33529i 1.11857 0.387142i 0.295651 0.955296i \(-0.404464\pi\)
0.822922 + 0.568154i \(0.192342\pi\)
\(360\) −4.72142 + 0.450841i −0.248841 + 0.0237614i
\(361\) 1.56059 32.7608i 0.0821362 1.72425i
\(362\) −2.55997 + 10.5524i −0.134549 + 0.554619i
\(363\) 23.3275 20.2134i 1.22438 1.06093i
\(364\) −3.54893 3.37026i −0.186014 0.176649i
\(365\) 6.93432 3.16680i 0.362959 0.165758i
\(366\) −5.23363 + 6.65510i −0.273566 + 0.347867i
\(367\) 6.99731 + 12.1197i 0.365257 + 0.632643i 0.988817 0.149132i \(-0.0476479\pi\)
−0.623561 + 0.781775i \(0.714315\pi\)
\(368\) −19.9100 + 12.4231i −1.03788 + 0.647601i
\(369\) 2.03493 + 1.17487i 0.105934 + 0.0611611i
\(370\) 11.0489 + 1.58859i 0.574404 + 0.0825868i
\(371\) −0.623514 + 13.6692i −0.0323712 + 0.709668i
\(372\) −4.77613 1.40240i −0.247631 0.0727110i
\(373\) −3.91655 20.3210i −0.202791 1.05218i −0.930499 0.366294i \(-0.880627\pi\)
0.727708 0.685887i \(-0.240586\pi\)
\(374\) −14.9336 + 15.6620i −0.772200 + 0.809860i
\(375\) −11.3978 0.542945i −0.588581 0.0280375i
\(376\) 16.9885 12.0975i 0.876116 0.623879i
\(377\) 16.5167 + 14.3118i 0.850654 + 0.737096i
\(378\) 2.51645 + 3.51881i 0.129432 + 0.180988i
\(379\) −16.6017 + 2.38696i −0.852772 + 0.122610i −0.554819 0.831971i \(-0.687213\pi\)
−0.297952 + 0.954581i \(0.596304\pi\)
\(380\) 9.84054 + 3.93956i 0.504809 + 0.202095i
\(381\) 5.30555 10.2913i 0.271812 0.527241i
\(382\) 0.762844 3.95801i 0.0390305 0.202509i
\(383\) 14.4455 + 20.2858i 0.738130 + 1.03656i 0.997492 + 0.0707783i \(0.0225483\pi\)
−0.259362 + 0.965780i \(0.583512\pi\)
\(384\) −7.31759 + 11.3864i −0.373424 + 0.581059i
\(385\) 24.4579 28.3412i 1.24649 1.44440i
\(386\) −27.9944 32.3072i −1.42488 1.64439i
\(387\) 3.36525 + 3.52938i 0.171065 + 0.179408i
\(388\) 1.37405 1.92958i 0.0697567 0.0979595i
\(389\) 9.75994 + 24.3791i 0.494848 + 1.23607i 0.940171 + 0.340702i \(0.110665\pi\)
−0.445323 + 0.895370i \(0.646911\pi\)
\(390\) −4.91023 + 8.50477i −0.248639 + 0.430656i
\(391\) −7.62933 6.16631i −0.385832 0.311844i
\(392\) −6.25128 + 13.8358i −0.315737 + 0.698814i
\(393\) 2.23017 15.5112i 0.112497 0.782435i
\(394\) −1.62088 0.154775i −0.0816586 0.00779746i
\(395\) 5.65963 1.37301i 0.284767 0.0690837i
\(396\) −4.11823 1.42533i −0.206949 0.0716256i
\(397\) −27.6395 6.70528i −1.38719 0.336528i −0.528460 0.848958i \(-0.677230\pi\)
−0.858729 + 0.512430i \(0.828745\pi\)
\(398\) 7.12769 + 4.58069i 0.357279 + 0.229609i
\(399\) 2.74792 + 18.8424i 0.137568 + 0.943298i
\(400\) −0.698994 + 0.806682i −0.0349497 + 0.0403341i
\(401\) −8.53499 + 0.406572i −0.426217 + 0.0203032i −0.259595 0.965718i \(-0.583589\pi\)
−0.166622 + 0.986021i \(0.553286\pi\)
\(402\) −7.61384 + 5.98759i −0.379744 + 0.298634i
\(403\) 15.9564 12.5482i 0.794845 0.625073i
\(404\) 9.27948 0.442036i 0.461672 0.0219921i
\(405\) 1.43202 1.65263i 0.0711574 0.0821201i
\(406\) −12.7291 + 31.9826i −0.631735 + 1.58727i
\(407\) −16.9935 10.9211i −0.842337 0.541337i
\(408\) −4.31140 1.04594i −0.213446 0.0517815i
\(409\) 1.01530 + 0.351400i 0.0502035 + 0.0173756i 0.352054 0.935980i \(-0.385483\pi\)
−0.301851 + 0.953355i \(0.597604\pi\)
\(410\) −8.16470 + 1.98073i −0.403226 + 0.0978215i
\(411\) −18.1805 1.73603i −0.896778 0.0856319i
\(412\) −0.367249 + 2.55427i −0.0180931 + 0.125840i
\(413\) −1.97794 1.01466i −0.0973282 0.0499280i
\(414\) 1.95026 7.59521i 0.0958499 0.373284i
\(415\) 3.19619 5.53595i 0.156895 0.271749i
\(416\) 3.73948 + 9.34077i 0.183343 + 0.457969i
\(417\) −11.0085 + 15.4592i −0.539086 + 0.757041i
\(418\) −52.5449 55.1075i −2.57005 2.69539i
\(419\) −3.97841 4.59133i −0.194358 0.224301i 0.650203 0.759761i \(-0.274684\pi\)
−0.844561 + 0.535459i \(0.820138\pi\)
\(420\) −3.82771 0.729728i −0.186773 0.0356071i
\(421\) −1.37123 + 2.13367i −0.0668295 + 0.103989i −0.873060 0.487613i \(-0.837868\pi\)
0.806230 + 0.591602i \(0.201504\pi\)
\(422\) 4.70077 + 6.60131i 0.228830 + 0.321347i
\(423\) −1.81977 + 9.44189i −0.0884805 + 0.459080i
\(424\) 5.14008 9.97036i 0.249624 0.484203i
\(425\) −0.414214 0.165826i −0.0200924 0.00804376i
\(426\) 2.38228 0.342520i 0.115422 0.0165951i
\(427\) 11.1434 7.96909i 0.539266 0.385651i
\(428\) 0.595014 + 0.515582i 0.0287611 + 0.0249216i
\(429\) 14.4763 10.3085i 0.698923 0.497701i
\(430\) −17.4167 0.829661i −0.839909 0.0400098i
\(431\) −7.07368 + 7.41867i −0.340727 + 0.357345i −0.871696 0.490047i \(-0.836980\pi\)
0.530969 + 0.847391i \(0.321828\pi\)
\(432\) −0.926083 4.80497i −0.0445562 0.231179i
\(433\) −9.03316 2.65237i −0.434106 0.127465i 0.0573763 0.998353i \(-0.481727\pi\)
−0.491482 + 0.870888i \(0.663545\pi\)
\(434\) 26.9320 + 17.2315i 1.29278 + 0.827140i
\(435\) 17.2230 + 2.47630i 0.825781 + 0.118729i
\(436\) −2.20297 1.27189i −0.105503 0.0609123i
\(437\) 22.9492 25.7815i 1.09781 1.23330i
\(438\) 2.85003 + 4.93640i 0.136180 + 0.235870i
\(439\) −12.9324 + 16.4449i −0.617232 + 0.784874i −0.989698 0.143172i \(-0.954270\pi\)
0.372466 + 0.928046i \(0.378512\pi\)
\(440\) −27.9154 + 12.7485i −1.33082 + 0.607763i
\(441\) −2.31614 6.60572i −0.110292 0.314558i
\(442\) −6.94228 + 6.01552i −0.330211 + 0.286129i
\(443\) −2.80524 + 11.5633i −0.133281 + 0.549391i 0.865540 + 0.500840i \(0.166976\pi\)
−0.998821 + 0.0485512i \(0.984540\pi\)
\(444\) −0.100048 + 2.10026i −0.00474805 + 0.0996739i
\(445\) −8.13984 + 0.777260i −0.385865 + 0.0368457i
\(446\) −25.3819 + 8.78477i −1.20187 + 0.415971i
\(447\) −10.2192 + 6.56747i −0.483351 + 0.310631i
\(448\) 7.57895 6.59401i 0.358072 0.311538i
\(449\) −2.08414 14.4955i −0.0983566 0.684085i −0.978024 0.208495i \(-0.933144\pi\)
0.879667 0.475590i \(-0.157765\pi\)
\(450\) −0.0169706 0.356256i −0.000800000 0.0167941i
\(451\) 14.9291 + 2.87734i 0.702983 + 0.135489i
\(452\) −0.645396 6.75889i −0.0303569 0.317911i
\(453\) −9.43505 18.3014i −0.443297 0.859877i
\(454\) −28.2768 + 8.30282i −1.32710 + 0.389671i
\(455\) 11.4784 10.9889i 0.538117 0.515169i
\(456\) 4.39783 14.9776i 0.205947 0.701392i
\(457\) 3.02879 31.7189i 0.141681 1.48375i −0.592927 0.805256i \(-0.702028\pi\)
0.734608 0.678492i \(-0.237366\pi\)
\(458\) 28.3477 11.3487i 1.32460 0.530291i
\(459\) 1.77142 1.02273i 0.0826829 0.0477370i
\(460\) 3.44970 + 6.16356i 0.160843 + 0.287378i
\(461\) 15.1766i 0.706847i −0.935463 0.353423i \(-0.885018\pi\)
0.935463 0.353423i \(-0.114982\pi\)
\(462\) 22.8338 + 16.1906i 1.06233 + 0.753254i
\(463\) −7.89341 17.2841i −0.366838 0.803262i −0.999582 0.0289019i \(-0.990799\pi\)
0.632745 0.774361i \(-0.281928\pi\)
\(464\) 28.1802 26.8697i 1.30823 1.24740i
\(465\) 5.28601 15.2729i 0.245133 0.708265i
\(466\) −28.2003 26.8889i −1.30635 1.24561i
\(467\) 6.28230 3.23875i 0.290710 0.149872i −0.306703 0.951805i \(-0.599226\pi\)
0.597413 + 0.801934i \(0.296195\pi\)
\(468\) −1.68268 0.768454i −0.0777819 0.0355218i
\(469\) 14.5388 5.85451i 0.671340 0.270336i
\(470\) −18.5878 28.9231i −0.857390 1.33413i
\(471\) −0.307704 + 0.768608i −0.0141783 + 0.0354156i
\(472\) 1.12652 + 1.43248i 0.0518522 + 0.0659354i
\(473\) 28.0463 + 14.4588i 1.28957 + 0.664819i
\(474\) 1.42425 + 4.11510i 0.0654179 + 0.189013i
\(475\) 0.652157 1.42802i 0.0299230 0.0655222i
\(476\) −3.16023 1.81607i −0.144849 0.0832396i
\(477\) 1.45707 + 4.96234i 0.0667148 + 0.227210i
\(478\) 20.8971 4.02759i 0.955812 0.184218i
\(479\) −2.85723 11.7777i −0.130550 0.538135i −0.999095 0.0425250i \(-0.986460\pi\)
0.868545 0.495610i \(-0.165055\pi\)
\(480\) 6.52531 + 4.64665i 0.297838 + 0.212090i
\(481\) −6.74009 5.30046i −0.307321 0.241680i
\(482\) 29.4099 1.33958
\(483\) −6.46836 + 10.9161i −0.294321 + 0.496698i
\(484\) −20.7890 −0.944956
\(485\) 6.04558 + 4.75430i 0.274516 + 0.215882i
\(486\) 1.33190 + 0.948443i 0.0604163 + 0.0430223i
\(487\) −0.924031 3.80891i −0.0418718 0.172598i 0.947036 0.321127i \(-0.104061\pi\)
−0.988908 + 0.148528i \(0.952546\pi\)
\(488\) −11.0277 + 2.12542i −0.499203 + 0.0962134i
\(489\) −2.80904 9.56671i −0.127029 0.432622i
\(490\) 22.2925 + 11.3790i 1.00707 + 0.514050i
\(491\) 10.9207 23.9130i 0.492843 1.07918i −0.485886 0.874022i \(-0.661503\pi\)
0.978730 0.205154i \(-0.0657697\pi\)
\(492\) −0.517607 1.49553i −0.0233355 0.0674235i
\(493\) 14.4666 + 7.45805i 0.651543 + 0.335894i
\(494\) −19.9797 25.4063i −0.898929 1.14308i
\(495\) 5.25875 13.1357i 0.236363 0.590406i
\(496\) −19.5529 30.4249i −0.877950 1.36612i
\(497\) −3.85590 0.546459i −0.172961 0.0245120i
\(498\) 4.34780 + 1.98557i 0.194830 + 0.0889757i
\(499\) 28.6469 14.7685i 1.28241 0.661129i 0.323875 0.946100i \(-0.395014\pi\)
0.958536 + 0.284971i \(0.0919839\pi\)
\(500\) 5.56207 + 5.30342i 0.248743 + 0.237176i
\(501\) 3.04839 8.80775i 0.136192 0.393501i
\(502\) 22.8951 21.8304i 1.02186 0.974340i
\(503\) −7.20153 15.7692i −0.321101 0.703112i 0.678401 0.734692i \(-0.262673\pi\)
−0.999501 + 0.0315800i \(0.989946\pi\)
\(504\) −0.533951 + 5.71355i −0.0237841 + 0.254502i
\(505\) 30.1628i 1.34223i
\(506\) −4.14856 50.5688i −0.184426 2.24806i
\(507\) −4.72530 + 2.72815i −0.209858 + 0.121162i
\(508\) −7.23959 + 2.89830i −0.321205 + 0.128591i
\(509\) 2.41299 25.2700i 0.106954 1.12007i −0.769520 0.638623i \(-0.779504\pi\)
0.876474 0.481450i \(-0.159890\pi\)
\(510\) −2.06048 + 7.01735i −0.0912396 + 0.310734i
\(511\) −2.19256 8.95894i −0.0969930 0.396320i
\(512\) −3.16723 + 0.929984i −0.139973 + 0.0410999i
\(513\) 3.29789 + 6.39702i 0.145605 + 0.282435i
\(514\) −0.759326 7.95202i −0.0334924 0.350749i
\(515\) −8.22708 1.58564i −0.362529 0.0698717i
\(516\) −0.156280 3.28073i −0.00687986 0.144426i
\(517\) 8.85449 + 61.5843i 0.389420 + 2.70848i
\(518\) 4.39147 12.7716i 0.192950 0.561153i
\(519\) −20.9064 + 13.4357i −0.917690 + 0.589763i
\(520\) −12.3103 + 4.26063i −0.539842 + 0.186841i
\(521\) −43.6571 + 4.16875i −1.91265 + 0.182636i −0.982721 0.185094i \(-0.940741\pi\)
−0.929932 + 0.367730i \(0.880135\pi\)
\(522\) −0.619065 + 12.9958i −0.0270957 + 0.568810i
\(523\) −9.48106 + 39.0815i −0.414578 + 1.70891i 0.255659 + 0.966767i \(0.417707\pi\)
−0.670237 + 0.742147i \(0.733808\pi\)
\(524\) −7.97644 + 6.91162i −0.348452 + 0.301936i
\(525\) −0.134929 + 0.561121i −0.00588877 + 0.0244893i
\(526\) −12.5749 + 5.74277i −0.548292 + 0.250397i
\(527\) 9.34507 11.8832i 0.407078 0.517641i
\(528\) −15.8313 27.4206i −0.688967 1.19333i
\(529\) 22.6925 3.74852i 0.986630 0.162979i
\(530\) −16.0146 9.24601i −0.695628 0.401621i
\(531\) −0.831668 0.119576i −0.0360913 0.00518915i
\(532\) 6.91181 10.8028i 0.299665 0.468362i
\(533\) 6.19230 + 1.81822i 0.268218 + 0.0787560i
\(534\) −1.15709 6.00356i −0.0500722 0.259799i
\(535\) −1.76402 + 1.85005i −0.0762652 + 0.0799846i
\(536\) −12.8341 0.611362i −0.554347 0.0264068i
\(537\) −6.52888 + 4.64919i −0.281742 + 0.200628i
\(538\) 17.0527 + 14.7762i 0.735194 + 0.637049i
\(539\) −28.1418 35.4896i −1.21215 1.52865i
\(540\) −1.45780 + 0.209601i −0.0627339 + 0.00901978i
\(541\) 1.00055 + 0.400558i 0.0430168 + 0.0172213i 0.393071 0.919508i \(-0.371413\pi\)
−0.350054 + 0.936729i \(0.613837\pi\)
\(542\) 0.833800 1.61735i 0.0358148 0.0694710i
\(543\) 1.25680 6.52088i 0.0539343 0.279838i
\(544\) 4.34643 + 6.10371i 0.186352 + 0.261694i
\(545\) 4.46521 6.94801i 0.191269 0.297620i
\(546\) 8.99533 + 7.76279i 0.384965 + 0.332217i
\(547\) −18.2965 21.1153i −0.782303 0.902826i 0.214970 0.976621i \(-0.431034\pi\)
−0.997273 + 0.0737947i \(0.976489\pi\)
\(548\) 8.48827 + 8.90224i 0.362601 + 0.380285i
\(549\) 3.00353 4.21787i 0.128188 0.180014i
\(550\) −0.857704 2.14244i −0.0365726 0.0913540i
\(551\) −28.6338 + 49.5953i −1.21984 + 2.11283i
\(552\) 8.55283 5.92003i 0.364033 0.251973i
\(553\) −0.349467 7.03754i −0.0148608 0.299267i
\(554\) −4.51422 + 31.3971i −0.191791 + 1.33393i
\(555\) −6.79594 0.648934i −0.288472 0.0275457i
\(556\) 12.4217 3.01347i 0.526798 0.127800i
\(557\) 26.4046 + 9.13872i 1.11880 + 0.387220i 0.823006 0.568032i \(-0.192295\pi\)
0.295792 + 0.955252i \(0.404416\pi\)
\(558\) 11.7439 + 2.84905i 0.497161 + 0.120610i
\(559\) 11.2678 + 7.24135i 0.476576 + 0.306277i
\(560\) −17.5457 22.2188i −0.741441 0.938916i
\(561\) 8.66713 10.0024i 0.365926 0.422301i
\(562\) −45.5022 + 2.16754i −1.91939 + 0.0914320i
\(563\) 5.93997 4.67124i 0.250340 0.196869i −0.485101 0.874458i \(-0.661217\pi\)
0.735441 + 0.677588i \(0.236975\pi\)
\(564\) 5.09066 4.00334i 0.214356 0.168571i
\(565\) 22.0196 1.04892i 0.926372 0.0441285i
\(566\) 20.2163 23.3309i 0.849755 0.980669i
\(567\) −1.63969 2.07640i −0.0688603 0.0872005i
\(568\) 2.68576 + 1.72603i 0.112692 + 0.0724226i
\(569\) −13.0179 3.15811i −0.545739 0.132395i −0.0465950 0.998914i \(-0.514837\pi\)
−0.499144 + 0.866519i \(0.666352\pi\)
\(570\) −24.3180 8.41655i −1.01857 0.352530i
\(571\) −36.2646 + 8.79771i −1.51763 + 0.368173i −0.906105 0.423054i \(-0.860958\pi\)
−0.611523 + 0.791226i \(0.709443\pi\)
\(572\) −11.9151 1.13776i −0.498197 0.0475720i
\(573\) −0.350838 + 2.44013i −0.0146565 + 0.101938i
\(574\) 0.504148 + 10.1525i 0.0210427 + 0.423758i
\(575\) 0.936134 0.466905i 0.0390395 0.0194713i
\(576\) 1.89851 3.28831i 0.0791045 0.137013i
\(577\) −4.89359 12.2236i −0.203723 0.508875i 0.790959 0.611869i \(-0.209582\pi\)
−0.994682 + 0.102994i \(0.967158\pi\)
\(578\) 12.1553 17.0698i 0.505595 0.710009i
\(579\) 18.0418 + 18.9217i 0.749791 + 0.786358i
\(580\) −7.67441 8.85674i −0.318663 0.367756i
\(581\) −5.85528 5.05299i −0.242918 0.209633i
\(582\) −3.10912 + 4.83788i −0.128877 + 0.200537i
\(583\) 19.4111 + 27.2590i 0.803924 + 1.12895i
\(584\) −1.43094 + 7.42445i −0.0592129 + 0.307226i
\(585\) 2.75214 5.33841i 0.113787 0.220716i
\(586\) 26.3073 + 10.5319i 1.08675 + 0.435068i
\(587\) 21.3616 3.07133i 0.881687 0.126767i 0.313423 0.949614i \(-0.398524\pi\)
0.568264 + 0.822846i \(0.307615\pi\)
\(588\) −1.73456 + 4.38388i −0.0715319 + 0.180788i
\(589\) 40.1999 + 34.8334i 1.65641 + 1.43529i
\(590\) 2.44717 1.74262i 0.100748 0.0717426i
\(591\) 0.994691 + 0.0473830i 0.0409161 + 0.00194908i
\(592\) −10.5422 + 11.0563i −0.433282 + 0.454413i
\(593\) 3.63902 + 18.8810i 0.149437 + 0.775351i 0.976878 + 0.213799i \(0.0685836\pi\)
−0.827441 + 0.561553i \(0.810204\pi\)
\(594\) 10.1512 + 2.98066i 0.416509 + 0.122298i
\(595\) 6.37797 9.96846i 0.261471 0.408667i
\(596\) 8.09822 + 1.16435i 0.331716 + 0.0476936i
\(597\) −4.48758 2.59090i −0.183664 0.106039i
\(598\) 0.287413 21.5357i 0.0117532 0.880658i
\(599\) 5.88797 + 10.1983i 0.240576 + 0.416689i 0.960878 0.276970i \(-0.0893304\pi\)
−0.720303 + 0.693660i \(0.755997\pi\)
\(600\) 0.292455 0.371887i 0.0119394 0.0151822i
\(601\) −17.5792 + 8.02814i −0.717069 + 0.327475i −0.740320 0.672255i \(-0.765326\pi\)
0.0232502 + 0.999730i \(0.492599\pi\)
\(602\) −4.93231 + 20.5117i −0.201026 + 0.835996i
\(603\) 4.47702 3.87936i 0.182318 0.157980i
\(604\) −3.26946 + 13.4769i −0.133032 + 0.548367i
\(605\) 3.21167 67.4213i 0.130573 2.74107i
\(606\) −22.4513 + 2.14384i −0.912023 + 0.0870877i
\(607\) −20.1302 + 6.96712i −0.817058 + 0.282787i −0.703455 0.710740i \(-0.748360\pi\)
−0.113603 + 0.993526i \(0.536239\pi\)
\(608\) −22.1796 + 14.2540i −0.899502 + 0.578075i
\(609\) 6.84544 19.9084i 0.277391 0.806730i
\(610\) 2.63482 + 18.3256i 0.106681 + 0.741982i
\(611\) 1.25665 + 26.3802i 0.0508384 + 1.06723i
\(612\) −1.35274 0.260720i −0.0546814 0.0105390i
\(613\) −1.91519 20.0567i −0.0773536 0.810084i −0.948020 0.318210i \(-0.896918\pi\)
0.870667 0.491874i \(-0.163688\pi\)
\(614\) 11.9164 + 23.1147i 0.480908 + 0.932832i
\(615\) 4.93014 1.44762i 0.198802 0.0583736i
\(616\) 8.82656 + 36.0659i 0.355632 + 1.45314i
\(617\) 0.506389 1.72460i 0.0203864 0.0694298i −0.948672 0.316263i \(-0.897572\pi\)
0.969058 + 0.246833i \(0.0793900\pi\)
\(618\) 0.595508 6.23644i 0.0239548 0.250866i
\(619\) 14.3657 5.75116i 0.577406 0.231159i −0.0645310 0.997916i \(-0.520555\pi\)
0.641937 + 0.766757i \(0.278131\pi\)
\(620\) −9.42679 + 5.44256i −0.378589 + 0.218579i
\(621\) −0.970379 + 4.69663i −0.0389400 + 0.188469i
\(622\) 38.4004i 1.53972i
\(623\) −0.920544 + 9.85028i −0.0368808 + 0.394643i
\(624\) −5.58323 12.2256i −0.223508 0.489414i
\(625\) −17.2696 + 16.4665i −0.690783 + 0.658660i
\(626\) −12.7043 + 36.7065i −0.507764 + 1.46709i
\(627\) 33.7031 + 32.1358i 1.34597 + 1.28338i
\(628\) 0.495621 0.255511i 0.0197774 0.0101960i
\(629\) −5.80870 2.65274i −0.231608 0.105772i
\(630\) 9.36636 + 1.32740i 0.373165 + 0.0528850i
\(631\) 14.2324 + 22.1460i 0.566582 + 0.881618i 0.999807 0.0196674i \(-0.00626074\pi\)
−0.433225 + 0.901286i \(0.642624\pi\)
\(632\) −2.14685 + 5.36256i −0.0853969 + 0.213311i
\(633\) −3.06378 3.89592i −0.121774 0.154849i
\(634\) −18.7376 9.65992i −0.744167 0.383645i
\(635\) −8.28109 23.9266i −0.328625 0.949499i
\(636\) 1.44701 3.16850i 0.0573775 0.125639i
\(637\) −10.4595 16.1319i −0.414422 0.639170i
\(638\) 23.7173 + 80.7738i 0.938978 + 3.19787i
\(639\) −1.44536 + 0.278569i −0.0571774 + 0.0110200i
\(640\) 6.97792 + 28.7634i 0.275827 + 1.13697i
\(641\) −22.1434 15.7682i −0.874610 0.622807i 0.0520760 0.998643i \(-0.483416\pi\)
−0.926686 + 0.375836i \(0.877356\pi\)
\(642\) −1.50244 1.18153i −0.0592967 0.0466315i
\(643\) 28.8952 1.13952 0.569758 0.821813i \(-0.307037\pi\)
0.569758 + 0.821813i \(0.307037\pi\)
\(644\) 8.10700 2.70342i 0.319461 0.106530i
\(645\) 10.6639 0.419892
\(646\) −18.9208 14.8795i −0.744431 0.585427i
\(647\) −0.873415 0.621956i −0.0343375 0.0244516i 0.562759 0.826621i \(-0.309740\pi\)
−0.597097 + 0.802169i \(0.703679\pi\)
\(648\) 0.511344 + 2.10779i 0.0200875 + 0.0828018i
\(649\) −5.33836 + 1.02888i −0.209549 + 0.0403872i
\(650\) −0.275984 0.939914i −0.0108250 0.0368665i
\(651\) −16.9541 9.74292i −0.664484 0.381855i
\(652\) −2.78963 + 6.10844i −0.109250 + 0.239225i
\(653\) 5.63418 + 16.2789i 0.220483 + 0.637042i 0.999944 + 0.0105921i \(0.00337163\pi\)
−0.779461 + 0.626450i \(0.784507\pi\)
\(654\) 5.48904 + 2.82980i 0.214639 + 0.110654i
\(655\) −21.1830 26.9363i −0.827687 1.05249i
\(656\) 4.27344 10.6745i 0.166850 0.416771i
\(657\) −1.88472 2.93269i −0.0735301 0.114415i
\(658\) −38.5867 + 15.5381i −1.50426 + 0.605740i
\(659\) −40.7897 18.6280i −1.58894 0.725645i −0.592161 0.805820i \(-0.701725\pi\)
−0.996781 + 0.0801747i \(0.974452\pi\)
\(660\) −8.47029 + 4.36674i −0.329706 + 0.169975i
\(661\) −17.4252 16.6149i −0.677760 0.646243i 0.270875 0.962614i \(-0.412687\pi\)
−0.948635 + 0.316371i \(0.897535\pi\)
\(662\) 7.11682 20.5627i 0.276603 0.799192i
\(663\) 4.06595 3.87688i 0.157909 0.150566i
\(664\) 2.63385 + 5.76732i 0.102213 + 0.223815i
\(665\) 33.9671 + 24.0847i 1.31719 + 0.933966i
\(666\) 5.10461i 0.197800i
\(667\) −35.6134 + 13.7089i −1.37896 + 0.530811i
\(668\) −5.43635 + 3.13868i −0.210339 + 0.121439i
\(669\) 15.2501 6.10520i 0.589602 0.236041i
\(670\) −2.01340 + 21.0853i −0.0777845 + 0.814597i
\(671\) 9.43916 32.1468i 0.364395 1.24101i
\(672\) 7.00103 6.70248i 0.270071 0.258554i
\(673\) −27.8307 + 8.17184i −1.07280 + 0.315001i −0.769993 0.638052i \(-0.779740\pi\)
−0.302802 + 0.953053i \(0.597922\pi\)
\(674\) −1.96777 3.81695i −0.0757958 0.147023i
\(675\) 0.0207345 + 0.217141i 0.000798071 + 0.00835777i
\(676\) 3.60846 + 0.695475i 0.138787 + 0.0267490i
\(677\) −1.74457 36.6229i −0.0670491 1.40753i −0.742360 0.670001i \(-0.766294\pi\)
0.675311 0.737533i \(-0.264009\pi\)
\(678\) 2.34582 + 16.3155i 0.0900905 + 0.626593i
\(679\) 7.02027 6.10793i 0.269413 0.234401i
\(680\) −8.16136 + 5.24499i −0.312974 + 0.201136i
\(681\) 17.0326 5.89503i 0.652689 0.225898i
\(682\) 77.8387 7.43269i 2.98060 0.284612i
\(683\) −0.716517 + 15.0415i −0.0274168 + 0.575549i 0.942807 + 0.333339i \(0.108175\pi\)
−0.970224 + 0.242210i \(0.922128\pi\)
\(684\) 1.14279 4.71066i 0.0436958 0.180117i
\(685\) −30.1824 + 26.1532i −1.15321 + 0.999262i
\(686\) 18.5749 23.9163i 0.709192 0.913127i
\(687\) −16.9872 + 7.75781i −0.648104 + 0.295979i
\(688\) 14.7513 18.7578i 0.562388 0.715134i
\(689\) 7.10242 + 12.3018i 0.270581 + 0.468659i
\(690\) −9.07737 14.5479i −0.345570 0.553830i
\(691\) 25.0417 + 14.4578i 0.952630 + 0.550001i 0.893897 0.448272i \(-0.147961\pi\)
0.0587333 + 0.998274i \(0.481294\pi\)
\(692\) 16.5674 + 2.38203i 0.629796 + 0.0905510i
\(693\) −14.4202 9.22628i −0.547779 0.350477i
\(694\) −34.8095 10.2210i −1.32135 0.387983i
\(695\) 7.85404 + 40.7506i 0.297921 + 1.54576i
\(696\) −11.9096 + 12.4904i −0.451433 + 0.473449i
\(697\) 4.80085 + 0.228692i 0.181845 + 0.00866234i
\(698\) −5.21628 + 3.71450i −0.197439 + 0.140596i
\(699\) 18.0099 + 15.6057i 0.681198 + 0.590261i
\(700\) 0.316164 0.226102i 0.0119499 0.00854585i
\(701\) −48.7795 + 7.01344i −1.84238 + 0.264894i −0.973259 0.229711i \(-0.926222\pi\)
−0.869118 + 0.494604i \(0.835313\pi\)
\(702\) 4.16920 + 1.66910i 0.157356 + 0.0629960i
\(703\) 10.2957 19.9710i 0.388312 0.753219i
\(704\) 4.64960 24.1244i 0.175239 0.909224i
\(705\) 12.1969 + 17.1281i 0.459361 + 0.645082i
\(706\) −26.5336 + 41.2871i −0.998605 + 1.55386i
\(707\) 35.8484 + 6.83425i 1.34822 + 0.257028i
\(708\) 0.370583 + 0.427676i 0.0139274 + 0.0160730i
\(709\) 23.1645 + 24.2942i 0.869960 + 0.912387i 0.996832 0.0795315i \(-0.0253424\pi\)
−0.126873 + 0.991919i \(0.540494\pi\)
\(710\) 3.05285 4.28712i 0.114571 0.160893i
\(711\) −0.989819 2.47245i −0.0371211 0.0927240i
\(712\) 4.05511 7.02366i 0.151972 0.263223i
\(713\) 6.24295 + 34.8909i 0.233800 + 1.30667i
\(714\) 7.87324 + 4.03886i 0.294648 + 0.151150i
\(715\) 5.53064 38.4665i 0.206834 1.43856i
\(716\) 5.37378 + 0.513133i 0.200827 + 0.0191767i
\(717\) −12.6488 + 3.06855i −0.472376 + 0.114597i
\(718\) 34.6539 + 11.9938i 1.29327 + 0.447606i
\(719\) 45.0585 + 10.9311i 1.68040 + 0.407660i 0.958671 0.284516i \(-0.0918330\pi\)
0.721728 + 0.692177i \(0.243348\pi\)
\(720\) −9.00196 5.78521i −0.335483 0.215602i
\(721\) −3.74861 + 9.41859i −0.139606 + 0.350767i
\(722\) 35.1185 40.5289i 1.30698 1.50833i
\(723\) −17.9664 + 0.855844i −0.668177 + 0.0318292i
\(724\) −3.51578 + 2.76484i −0.130663 + 0.102754i
\(725\) −1.36433 + 1.07292i −0.0506699 + 0.0398472i
\(726\) 50.4126 2.40145i 1.87099 0.0891261i
\(727\) −0.169304 + 0.195387i −0.00627914 + 0.00724652i −0.758880 0.651230i \(-0.774253\pi\)
0.752601 + 0.658476i \(0.228799\pi\)
\(728\) 2.27450 + 15.5961i 0.0842984 + 0.578030i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 12.1133 + 2.93864i 0.448332 + 0.108764i
\(731\) 9.42633 + 3.26249i 0.348646 + 0.120667i
\(732\) −3.38912 + 0.822192i −0.125266 + 0.0303891i
\(733\) −22.9162 2.18824i −0.846431 0.0808243i −0.337178 0.941441i \(-0.609472\pi\)
−0.509253 + 0.860617i \(0.670078\pi\)
\(734\) −3.25651 + 22.6495i −0.120200 + 0.836009i
\(735\) −13.9495 6.30264i −0.514535 0.232476i
\(736\) −17.4651 1.90323i −0.643772 0.0701539i
\(737\) 19.1653 33.1953i 0.705963 1.22276i
\(738\) 1.42793 + 3.56680i 0.0525629 + 0.131296i
\(739\) 18.4092 25.8522i 0.677195 0.950987i −0.322795 0.946469i \(-0.604622\pi\)
0.999990 0.00451810i \(-0.00143816\pi\)
\(740\) 3.17295 + 3.32769i 0.116640 + 0.122328i
\(741\) 12.9449 + 14.9392i 0.475541 + 0.548804i
\(742\) −14.6174 + 16.9383i −0.536622 + 0.621824i
\(743\) −15.5695 + 24.2267i −0.571191 + 0.888790i −0.999893 0.0146559i \(-0.995335\pi\)
0.428702 + 0.903446i \(0.358971\pi\)
\(744\) 9.29836 + 13.0577i 0.340895 + 0.478719i
\(745\) −5.02721 + 26.0836i −0.184183 + 0.955631i
\(746\) 15.5055 30.0765i 0.567697 1.10118i
\(747\) −2.71383 1.08645i −0.0992940 0.0397513i
\(748\) −8.82321 + 1.26859i −0.322608 + 0.0463841i
\(749\) 1.79909 + 2.51571i 0.0657373 + 0.0919221i
\(750\) −14.1004 12.2181i −0.514875 0.446142i
\(751\) 2.15652 1.53565i 0.0786925 0.0560366i −0.540034 0.841643i \(-0.681588\pi\)
0.618726 + 0.785607i \(0.287649\pi\)
\(752\) 47.0000 + 2.23889i 1.71391 + 0.0816437i
\(753\) −13.3512 + 14.0024i −0.486546 + 0.510275i
\(754\) 6.76278 + 35.0886i 0.246286 + 1.27785i
\(755\) −43.2021 12.6853i −1.57228 0.461664i
\(756\) −0.0811980 + 1.78009i −0.00295314 + 0.0647411i
\(757\) 31.6286 + 4.54751i 1.14956 + 0.165282i 0.690643 0.723196i \(-0.257328\pi\)
0.458919 + 0.888478i \(0.348237\pi\)
\(758\) −23.7502 13.7122i −0.862645 0.498049i
\(759\) 4.00592 + 30.7715i 0.145406 + 1.11694i
\(760\) −17.0675 29.5618i −0.619104 1.07232i
\(761\) −17.7874 + 22.6185i −0.644793 + 0.819920i −0.993077 0.117469i \(-0.962522\pi\)
0.348284 + 0.937389i \(0.386764\pi\)
\(762\) 17.2209 7.86454i 0.623849 0.284902i
\(763\) −7.24596 6.88116i −0.262321 0.249115i
\(764\) 1.25481 1.08730i 0.0453974 0.0393371i
\(765\) 1.05453 4.34683i 0.0381266 0.157160i
\(766\) −1.93751 + 40.6734i −0.0700052 + 1.46959i
\(767\) −2.29728 + 0.219364i −0.0829500 + 0.00792076i
\(768\) −13.7374 + 4.75456i −0.495705 + 0.171565i
\(769\) 14.8116 9.51883i 0.534120 0.343258i −0.245616 0.969367i \(-0.578990\pi\)
0.779735 + 0.626110i \(0.215354\pi\)
\(770\) 60.0805 11.7053i 2.16515 0.421829i
\(771\) 0.695277 + 4.83576i 0.0250398 + 0.174156i
\(772\) −0.837850 17.5886i −0.0301549 0.633029i
\(773\) −18.2937 3.52582i −0.657978 0.126815i −0.150676 0.988583i \(-0.548145\pi\)
−0.507302 + 0.861768i \(0.669357\pi\)
\(774\) 0.757948 + 7.93759i 0.0272439 + 0.285311i
\(775\) 0.738728 + 1.43293i 0.0265359 + 0.0514725i
\(776\) −7.31938 + 2.14916i −0.262750 + 0.0771505i
\(777\) −2.31107 + 7.92992i −0.0829092 + 0.284484i
\(778\) −12.0970 + 41.1985i −0.433697 + 1.47704i
\(779\) −1.60751 + 16.8346i −0.0575951 + 0.603163i
\(780\) −3.75539 + 1.50343i −0.134464 + 0.0538314i
\(781\) −8.24821 + 4.76211i −0.295144 + 0.170402i
\(782\) −3.57315 15.6366i −0.127776 0.559165i
\(783\) 7.95708i 0.284363i
\(784\) −30.3825 + 15.8187i −1.08509 + 0.564953i
\(785\) 0.752084 + 1.64683i 0.0268430 + 0.0587780i
\(786\) 18.5442 17.6818i 0.661449 0.630690i
\(787\) −10.9052 + 31.5085i −0.388728 + 1.12316i 0.565673 + 0.824629i \(0.308616\pi\)
−0.954401 + 0.298527i \(0.903505\pi\)
\(788\) −0.485404 0.462831i −0.0172918 0.0164877i
\(789\) 7.51484 3.87417i 0.267535 0.137924i
\(790\) 8.66189 + 3.95575i 0.308176 + 0.140739i
\(791\) 3.74254 26.4079i 0.133069 0.938957i
\(792\) 7.58732 + 11.8061i 0.269604 + 0.419512i
\(793\) 5.28570 13.2030i 0.187701 0.468853i
\(794\) −28.7468 36.5546i −1.02019 1.29727i
\(795\) 10.0523 + 5.18231i 0.356518 + 0.183798i
\(796\) 1.14147 + 3.29805i 0.0404582 + 0.116896i
\(797\) −16.4806 + 36.0875i −0.583773 + 1.27828i 0.355360 + 0.934730i \(0.384358\pi\)
−0.939133 + 0.343554i \(0.888369\pi\)
\(798\) −15.5130 + 26.9949i −0.549154 + 0.955608i
\(799\) 5.54125 + 18.8718i 0.196035 + 0.667635i
\(800\) −0.784629 + 0.151225i −0.0277408 + 0.00534660i
\(801\) 0.881568 + 3.63387i 0.0311487 + 0.128397i
\(802\) −11.3807 8.10414i −0.401865 0.286167i
\(803\) −17.7307 13.9436i −0.625702 0.492058i
\(804\) −3.98983 −0.140711
\(805\) 7.51507 + 26.7096i 0.264872 + 0.941391i
\(806\) 33.1913 1.16911
\(807\) −10.8474 8.53050i −0.381847 0.300288i
\(808\) −24.3696 17.3535i −0.857321 0.610495i
\(809\) 3.48623 + 14.3704i 0.122569 + 0.505238i 0.999688 + 0.0249647i \(0.00794732\pi\)
−0.877119 + 0.480273i \(0.840538\pi\)
\(810\) 3.51091 0.676672i 0.123361 0.0237758i
\(811\) −1.51852 5.17159i −0.0533223 0.181599i 0.928526 0.371268i \(-0.121077\pi\)
−0.981848 + 0.189669i \(0.939259\pi\)
\(812\) −12.2651 + 7.11426i −0.430419 + 0.249662i
\(813\) −0.462299 + 1.01229i −0.0162135 + 0.0355027i
\(814\) −10.8028 31.2125i −0.378637 1.09400i
\(815\) −19.3794 9.99079i −0.678832 0.349962i
\(816\) −6.18732 7.86782i −0.216600 0.275429i
\(817\) −13.0444 + 32.5833i −0.456365 + 1.13995i
\(818\) 0.949759 + 1.47785i 0.0332075 + 0.0516720i
\(819\) −5.72111 4.48049i −0.199912 0.156561i
\(820\) −3.14794 1.43762i −0.109931 0.0502037i
\(821\) 44.1936 22.7834i 1.54237 0.795146i 0.543353 0.839505i \(-0.317155\pi\)
0.999016 + 0.0443586i \(0.0141244\pi\)
\(822\) −21.6121 20.6071i −0.753808 0.718755i
\(823\) 5.14759 14.8730i 0.179434 0.518440i −0.819036 0.573742i \(-0.805491\pi\)
0.998470 + 0.0553026i \(0.0176123\pi\)
\(824\) 6.01438 5.73470i 0.209521 0.199778i
\(825\) 0.586314 + 1.28385i 0.0204128 + 0.0446979i
\(826\) −1.51662 3.30330i −0.0527701 0.114936i
\(827\) 28.3844i 0.987022i 0.869739 + 0.493511i \(0.164287\pi\)
−0.869739 + 0.493511i \(0.835713\pi\)
\(828\) 2.56540 1.96262i 0.0891538 0.0682056i
\(829\) −32.5821 + 18.8113i −1.13162 + 0.653342i −0.944342 0.328964i \(-0.893300\pi\)
−0.187280 + 0.982307i \(0.559967\pi\)
\(830\) 9.70338 3.88465i 0.336809 0.134838i
\(831\) 1.84404 19.3117i 0.0639692 0.669915i
\(832\) 2.93813 10.0064i 0.101861 0.346908i
\(833\) −10.4024 9.83884i −0.360421 0.340895i
\(834\) −29.7741 + 8.74246i −1.03099 + 0.302727i
\(835\) −9.33925 18.1156i −0.323198 0.626917i
\(836\) −2.98136 31.2222i −0.103112 1.07984i
\(837\) −7.25723 1.39872i −0.250847 0.0483467i
\(838\) −0.472654 9.92223i −0.0163276 0.342758i
\(839\) −0.0654212 0.455015i −0.00225859 0.0157089i 0.988661 0.150165i \(-0.0479804\pi\)
−0.990920 + 0.134456i \(0.957071\pi\)
\(840\) 8.23665 + 9.46696i 0.284192 + 0.326641i
\(841\) 28.8677 18.5521i 0.995437 0.639729i
\(842\) −3.91899 + 1.35637i −0.135057 + 0.0467437i
\(843\) 27.7340 2.64828i 0.955210 0.0912115i
\(844\) −0.158834 + 3.33433i −0.00546729 + 0.114773i
\(845\) −2.81298 + 11.5952i −0.0967693 + 0.398889i
\(846\) −11.8822 + 10.2960i −0.408519 + 0.353984i
\(847\) −79.4023 19.0933i −2.72830 0.656054i
\(848\) 23.0208 10.5133i 0.790539 0.361027i
\(849\) −11.6711 + 14.8410i −0.400551 + 0.509343i
\(850\) −0.364767 0.631796i −0.0125114 0.0216704i
\(851\) 13.7010 6.03738i 0.469663 0.206959i
\(852\) 0.858556 + 0.495688i 0.0294137 + 0.0169820i
\(853\) −32.2510 4.63699i −1.10425 0.158768i −0.434009 0.900909i \(-0.642901\pi\)
−0.670244 + 0.742141i \(0.733810\pi\)
\(854\) 22.3769 + 1.02071i 0.765722 + 0.0349281i
\(855\) 15.1007 + 4.43396i 0.516433 + 0.151638i
\(856\) −0.479832 2.48961i −0.0164003 0.0850929i
\(857\) 2.02624 2.12506i 0.0692149 0.0725905i −0.688216 0.725506i \(-0.741606\pi\)
0.757431 + 0.652915i \(0.226454\pi\)
\(858\) 29.0252 + 1.38264i 0.990904 + 0.0472026i
\(859\) 5.85099 4.16647i 0.199633 0.142158i −0.475869 0.879516i \(-0.657866\pi\)
0.675502 + 0.737358i \(0.263927\pi\)
\(860\) −5.42799 4.70338i −0.185093 0.160384i
\(861\) −0.603425 6.18745i −0.0205647 0.210868i
\(862\) −16.5899 + 2.38527i −0.565055 + 0.0812427i
\(863\) −10.1528 4.06456i −0.345605 0.138359i 0.192365 0.981323i \(-0.438384\pi\)
−0.537970 + 0.842964i \(0.680809\pi\)
\(864\) 1.67861 3.25606i 0.0571076 0.110773i
\(865\) −10.2847 + 53.3619i −0.349689 + 1.81436i
\(866\) −8.92913 12.5392i −0.303424 0.426100i
\(867\) −6.92890 + 10.7816i −0.235318 + 0.366161i
\(868\) 4.33255 + 12.4369i 0.147056 + 0.422135i
\(869\) −11.2847 13.0233i −0.382808 0.441784i
\(870\) 19.6332 + 20.5908i 0.665629 + 0.698092i
\(871\) 9.43787 13.2536i 0.319790 0.449082i
\(872\) 3.04459 + 7.60501i 0.103103 + 0.257538i
\(873\) 1.75856 3.04592i 0.0595183 0.103089i
\(874\) 55.5543 9.94022i 1.87915 0.336233i
\(875\) 16.3731 + 25.3645i 0.553513 + 0.857475i
\(876\) −0.334143 + 2.32402i −0.0112897 + 0.0785213i
\(877\) 54.6382 + 5.21731i 1.84500 + 0.176176i 0.958223 0.286021i \(-0.0923328\pi\)
0.886777 + 0.462197i \(0.152939\pi\)
\(878\) −33.2432 + 8.06472i −1.12191 + 0.272171i
\(879\) −16.3775 5.66832i −0.552400 0.191188i
\(880\) −67.2863 16.3235i −2.26822 0.550264i
\(881\) −16.2245 10.4268i −0.546616 0.351289i 0.238005 0.971264i \(-0.423506\pi\)
−0.784622 + 0.619975i \(0.787143\pi\)
\(882\) 3.69983 10.8311i 0.124580 0.364703i
\(883\) 8.69667 10.0365i 0.292666 0.337755i −0.590306 0.807179i \(-0.700993\pi\)
0.882973 + 0.469424i \(0.155539\pi\)
\(884\) −3.77950 + 0.180040i −0.127119 + 0.00605540i
\(885\) −1.44425 + 1.13577i −0.0485481 + 0.0381786i
\(886\) −15.2931 + 12.0266i −0.513780 + 0.404041i
\(887\) −35.0066 + 1.66757i −1.17541 + 0.0559915i −0.626177 0.779681i \(-0.715381\pi\)
−0.549228 + 0.835672i \(0.685078\pi\)
\(888\) 4.43420 5.11734i 0.148802 0.171727i
\(889\) −30.3130 + 4.42078i −1.01667 + 0.148268i
\(890\) −11.2475 7.22830i −0.377016 0.242293i
\(891\) −6.28806 1.52547i −0.210658 0.0511051i
\(892\) −10.4551 3.61854i −0.350062 0.121158i
\(893\) −67.2538 + 16.3156i −2.25056 + 0.545981i
\(894\) −19.7724 1.88803i −0.661288 0.0631453i
\(895\) −2.49434 + 17.3485i −0.0833767 + 0.579898i
\(896\) 35.7662 1.77606i 1.19487 0.0593341i
\(897\) 0.451120 + 13.1644i 0.0150624 + 0.439546i
\(898\) 11.9726 20.7371i 0.399530 0.692006i
\(899\) −21.8571 54.5965i −0.728976 1.82089i
\(900\) 0.0852173 0.119671i 0.00284058 0.00398903i
\(901\) 7.30020 + 7.65623i 0.243205 + 0.255066i
\(902\) 16.2796 + 18.7876i 0.542050 + 0.625559i
\(903\) 2.41622 12.6741i 0.0804069 0.421766i
\(904\) −11.8211 + 18.3939i −0.393163 + 0.611773i
\(905\) −8.42356 11.8292i −0.280009 0.393217i
\(906\) 6.37153 33.0586i 0.211680 1.09830i
\(907\) −21.5023 + 41.7087i −0.713973 + 1.38491i 0.200267 + 0.979741i \(0.435819\pi\)
−0.914240 + 0.405173i \(0.867211\pi\)
\(908\) −11.2697 4.51170i −0.373997 0.149726i
\(909\) 13.6530 1.96301i 0.452843 0.0651089i
\(910\) 25.8598 2.52195i 0.857244 0.0836019i
\(911\) −12.0838 10.4707i −0.400355 0.346910i 0.431294 0.902212i \(-0.358057\pi\)
−0.831649 + 0.555302i \(0.812603\pi\)
\(912\) 28.6879 20.4286i 0.949951 0.676457i
\(913\) −18.8932 0.899994i −0.625273 0.0297854i
\(914\) 35.9525 37.7059i 1.18920 1.24720i
\(915\) −2.14289 11.1184i −0.0708417 0.367561i
\(916\) 12.0682 + 3.54354i 0.398745 + 0.117082i
\(917\) −36.8133 + 19.0727i −1.21568 + 0.629835i
\(918\) 3.31047 + 0.475973i 0.109262 + 0.0157095i
\(919\) −48.5306 28.0192i −1.60088 0.924267i −0.991312 0.131532i \(-0.958010\pi\)
−0.609566 0.792735i \(-0.708656\pi\)
\(920\) 3.53728 22.4694i 0.116621 0.740795i
\(921\) −7.95235 13.7739i −0.262039 0.453865i
\(922\) 15.3397 19.5060i 0.505186 0.642396i
\(923\) −3.67750 + 1.67946i −0.121046 + 0.0552800i
\(924\) 3.27067 + 11.0563i 0.107597 + 0.363726i
\(925\) 0.514651 0.445948i 0.0169216 0.0146627i
\(926\) 7.32472 30.1929i 0.240705 0.992201i
\(927\) −0.182309 + 3.82714i −0.00598782 + 0.125700i
\(928\) 29.0171 2.77079i 0.952531 0.0909557i
\(929\) 1.57775 0.546064i 0.0517642 0.0179158i −0.301063 0.953604i \(-0.597341\pi\)
0.352827 + 0.935688i \(0.385220\pi\)
\(930\) 22.2309 14.2869i 0.728981 0.468488i
\(931\) 36.3209 34.9127i 1.19037 1.14422i
\(932\) −2.28417 15.8867i −0.0748203 0.520387i
\(933\) −1.11747 23.4587i −0.0365844 0.768002i
\(934\) 11.3480 + 2.18714i 0.371317 + 0.0715655i
\(935\) −2.75109 28.8107i −0.0899703 0.942211i
\(936\) 2.72971 + 5.29491i 0.0892235 + 0.173069i
\(937\) 27.2378 7.99773i 0.889819 0.261274i 0.195296 0.980744i \(-0.437433\pi\)
0.694524 + 0.719470i \(0.255615\pi\)
\(938\) 24.6036 + 7.17041i 0.803337 + 0.234122i
\(939\) 6.69279 22.7936i 0.218411 0.743839i
\(940\) 1.34617 14.0978i 0.0439073 0.459818i
\(941\) −2.85783 + 1.14410i −0.0931627 + 0.0372967i −0.417776 0.908550i \(-0.637190\pi\)
0.324613 + 0.945847i \(0.394766\pi\)
\(942\) −1.17235 + 0.676855i −0.0381972 + 0.0220531i
\(943\) −7.88459 + 8.05120i −0.256757 + 0.262183i
\(944\) 4.11154i 0.133819i
\(945\) −5.76049 0.538339i −0.187389 0.0175122i
\(946\) 21.4327 + 46.9310i 0.696837 + 1.52586i
\(947\) −10.8703 + 10.3648i −0.353238 + 0.336812i −0.845834 0.533446i \(-0.820897\pi\)
0.492596 + 0.870258i \(0.336048\pi\)
\(948\) −0.586663 + 1.69505i −0.0190539 + 0.0550527i
\(949\) −6.92963 6.60739i −0.224945 0.214485i
\(950\) 2.28156 1.17623i 0.0740236 0.0381618i
\(951\) 11.7278 + 5.35593i 0.380302 + 0.173678i
\(952\) 4.38446 + 10.8882i 0.142101 + 0.352887i
\(953\) 29.2405 + 45.4991i 0.947193 + 1.47386i 0.879356 + 0.476164i \(0.157973\pi\)
0.0678365 + 0.997696i \(0.478390\pi\)
\(954\) −3.14292 + 7.85065i −0.101756 + 0.254174i
\(955\) 3.33238 + 4.23747i 0.107833 + 0.137121i
\(956\) 7.79167 + 4.01689i 0.252001 + 0.129915i
\(957\) −16.8394 48.6542i −0.544340 1.57277i
\(958\) 8.23189 18.0253i 0.265960 0.582372i
\(959\) 24.2443 + 41.7974i 0.782889 + 1.34971i
\(960\) −2.33926 7.96679i −0.0754993 0.257127i
\(961\) −23.1969 + 4.47083i −0.748286 + 0.144220i
\(962\) −3.30539 13.6250i −0.106570 0.439288i
\(963\) 0.952219 + 0.678072i 0.0306848 + 0.0218506i
\(964\) 9.52244 + 7.48853i 0.306697 + 0.241189i
\(965\) 57.1715 1.84042
\(966\) −19.3469 + 7.49217i −0.622476 + 0.241057i
\(967\) −25.2740 −0.812756 −0.406378 0.913705i \(-0.633208\pi\)
−0.406378 + 0.913705i \(0.633208\pi\)
\(968\) 52.6245 + 41.3843i 1.69141 + 1.33014i
\(969\) 11.9917 + 8.53922i 0.385228 + 0.274319i
\(970\) 2.96480 + 12.2211i 0.0951940 + 0.392395i
\(971\) 25.4436 4.90386i 0.816525 0.157372i 0.236145 0.971718i \(-0.424116\pi\)
0.580380 + 0.814346i \(0.302904\pi\)
\(972\) 0.189749 + 0.646227i 0.00608622 + 0.0207278i
\(973\) 50.2116 0.101270i 1.60971 0.00324656i
\(974\) 2.66220 5.82942i 0.0853025 0.186787i
\(975\) 0.195949 + 0.566158i 0.00627540 + 0.0181316i
\(976\) −22.5213 11.6106i −0.720890 0.371645i
\(977\) −4.86055 6.18069i −0.155503 0.197738i 0.702059 0.712119i \(-0.252264\pi\)
−0.857562 + 0.514381i \(0.828022\pi\)
\(978\) 6.05913 15.1350i 0.193750 0.483963i
\(979\) 13.0807 + 20.3540i 0.418061 + 0.650516i
\(980\) 4.32054 + 9.36056i 0.138015 + 0.299012i
\(981\) −3.43558 1.56898i −0.109690 0.0500936i
\(982\) 38.2058 19.6965i 1.21920 0.628540i
\(983\) 10.9095 + 10.4021i 0.347958 + 0.331777i 0.843822 0.536623i \(-0.180300\pi\)
−0.495864 + 0.868400i \(0.665149\pi\)
\(984\) −1.66687 + 4.81610i −0.0531378 + 0.153532i
\(985\) 1.57601 1.50272i 0.0502158 0.0478807i
\(986\) 11.0552 + 24.2076i 0.352071 + 0.770927i
\(987\) 23.1203 10.6151i 0.735926 0.337881i
\(988\) 13.3135i 0.423558i
\(989\) −20.4084 + 11.4224i −0.648949 + 0.363211i
\(990\) 20.0357 11.5676i 0.636777 0.367643i
\(991\) 48.1712 19.2849i 1.53021 0.612604i 0.554600 0.832117i \(-0.312871\pi\)
0.975609 + 0.219513i \(0.0704470\pi\)
\(992\) 2.57360 26.9520i 0.0817119 0.855726i
\(993\) −3.74925 + 12.7688i −0.118979 + 0.405204i
\(994\) −4.40352 4.59967i −0.139671 0.145893i
\(995\) −10.8723 + 3.19240i −0.344675 + 0.101206i
\(996\) 0.902167 + 1.74996i 0.0285862 + 0.0554496i
\(997\) 1.06904 + 11.1955i 0.0338570 + 0.354566i 0.996487 + 0.0837466i \(0.0266886\pi\)
−0.962630 + 0.270820i \(0.912705\pi\)
\(998\) 51.7460 + 9.97323i 1.63799 + 0.315697i
\(999\) 0.148547 + 3.11838i 0.00469982 + 0.0986613i
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 483.2.bf.a.61.25 640
7.3 odd 6 inner 483.2.bf.a.199.8 yes 640
23.20 odd 22 inner 483.2.bf.a.250.8 yes 640
161.66 even 66 inner 483.2.bf.a.388.25 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.bf.a.61.25 640 1.1 even 1 trivial
483.2.bf.a.199.8 yes 640 7.3 odd 6 inner
483.2.bf.a.250.8 yes 640 23.20 odd 22 inner
483.2.bf.a.388.25 yes 640 161.66 even 66 inner