Properties

Label 342.2.v.b.283.2
Level $342$
Weight $2$
Character 342.283
Analytic conductor $2.731$
Analytic rank $0$
Dimension $66$
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] = [342,2,Mod(25,342)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(342, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([12, 14]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("342.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 342 = 2 \cdot 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 342.v (of order \(9\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.73088374913\)
Analytic rank: \(0\)
Dimension: \(66\)
Relative dimension: \(11\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 283.2
Character \(\chi\) \(=\) 342.283
Dual form 342.2.v.b.313.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(-1.71473 - 0.244308i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.582433 + 3.30314i) q^{5} +(1.69488 - 0.356899i) q^{6} +(1.43346 - 2.48282i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.88063 + 0.837847i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(-1.71473 - 0.244308i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.582433 + 3.30314i) q^{5} +(1.69488 - 0.356899i) q^{6} +(1.43346 - 2.48282i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.88063 + 0.837847i) q^{9} +(-0.582433 - 3.30314i) q^{10} -4.22426 q^{11} +(-1.47060 + 0.915059i) q^{12} +(0.835794 + 4.74002i) q^{13} +(-0.497834 + 2.82336i) q^{14} +(1.80570 - 5.52172i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.584402 - 3.31431i) q^{17} +(-2.99346 + 0.197914i) q^{18} +(-4.26775 - 0.886729i) q^{19} +(1.67705 + 2.90473i) q^{20} +(-3.06457 + 3.90717i) q^{21} +(3.96951 - 1.44478i) q^{22} +(-3.72609 + 3.12656i) q^{23} +(1.06894 - 1.36285i) q^{24} +(-5.87305 - 2.13762i) q^{25} +(-2.40657 - 4.16831i) q^{26} +(-4.73482 - 2.14044i) q^{27} +(-0.497834 - 2.82336i) q^{28} +(-4.88250 + 4.09690i) q^{29} +(0.191734 + 5.80630i) q^{30} -10.5571 q^{31} +(0.173648 + 0.984808i) q^{32} +(7.24349 + 1.03202i) q^{33} +(0.584402 + 3.31431i) q^{34} +(7.36621 + 6.18099i) q^{35} +(2.74525 - 1.20980i) q^{36} -7.65590 q^{37} +(4.31365 - 0.626405i) q^{38} +(-0.275139 - 8.33207i) q^{39} +(-2.56939 - 2.15597i) q^{40} +(3.61180 - 1.31459i) q^{41} +(1.54342 - 4.71968i) q^{42} +(8.32002 + 6.98133i) q^{43} +(-3.23597 + 2.71531i) q^{44} +(-4.44530 + 9.02713i) q^{45} +(2.43203 - 4.21241i) q^{46} +(1.85247 - 1.55441i) q^{47} +(-0.538357 + 1.64626i) q^{48} +(-0.609597 - 1.05585i) q^{49} +6.24997 q^{50} +(-1.81181 + 5.54038i) q^{51} +(3.68708 + 3.09383i) q^{52} +(-0.393836 - 0.143345i) q^{53} +(5.18135 + 0.391957i) q^{54} +(2.46035 - 13.9533i) q^{55} +(1.43346 + 2.48282i) q^{56} +(7.10143 + 2.56315i) q^{57} +(3.18683 - 5.51974i) q^{58} +(-3.25373 - 2.73020i) q^{59} +(-2.16604 - 5.39056i) q^{60} +(-2.18094 - 12.3687i) q^{61} +(9.92039 - 3.61073i) q^{62} +(6.20948 - 5.95106i) q^{63} +(-0.500000 - 0.866025i) q^{64} -16.1438 q^{65} +(-7.15963 + 1.50764i) q^{66} +(7.88148 + 2.86862i) q^{67} +(-1.68272 - 2.91455i) q^{68} +(7.15310 - 4.45091i) q^{69} +(-9.03600 - 3.28883i) q^{70} +(-0.368096 + 0.133976i) q^{71} +(-2.16591 + 2.07577i) q^{72} +(6.25923 + 5.25212i) q^{73} +(7.19419 - 2.61847i) q^{74} +(9.54848 + 5.10028i) q^{75} +(-3.83927 + 2.06398i) q^{76} +(-6.05530 + 10.4881i) q^{77} +(3.10828 + 7.73548i) q^{78} +(-1.44744 + 8.20884i) q^{79} +(3.15182 + 1.14717i) q^{80} +(7.59603 + 4.82705i) q^{81} +(-2.94437 + 2.47062i) q^{82} +(2.62126 - 4.54016i) q^{83} +(0.163884 + 4.96293i) q^{84} +(10.6073 + 3.86072i) q^{85} +(-10.2060 - 3.71469i) q^{86} +(9.37310 - 5.83227i) q^{87} +(2.11213 - 3.65832i) q^{88} +(1.76943 - 1.48473i) q^{89} +(1.08975 - 10.0031i) q^{90} +(12.9667 + 4.71949i) q^{91} +(-0.844637 + 4.79017i) q^{92} +(18.1026 + 2.57917i) q^{93} +(-1.20911 + 2.09425i) q^{94} +(5.41467 - 13.5805i) q^{95} +(-0.0571640 - 1.73111i) q^{96} +(-3.72053 + 1.35416i) q^{97} +(0.933956 + 0.783682i) q^{98} +(-12.1685 - 3.53929i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 66 q + 6 q^{3} + 6 q^{6} - 12 q^{7} - 33 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 66 q + 6 q^{3} + 6 q^{6} - 12 q^{7} - 33 q^{8} + 6 q^{9} - 3 q^{13} - 3 q^{14} - 3 q^{15} + 9 q^{17} + 6 q^{18} - 21 q^{19} + 6 q^{22} + 6 q^{23} - 3 q^{24} - 12 q^{25} + 3 q^{27} - 3 q^{28} - 18 q^{29} + 45 q^{33} + 9 q^{34} - 18 q^{35} + 6 q^{36} + 6 q^{37} - 12 q^{38} + 12 q^{39} - 12 q^{41} - 3 q^{43} - 12 q^{44} + 9 q^{45} - 18 q^{47} - 3 q^{48} - 57 q^{49} + 126 q^{50} - 36 q^{51} + 6 q^{52} - 24 q^{53} - 9 q^{54} + 36 q^{55} - 12 q^{56} + 48 q^{57} - 18 q^{58} - 39 q^{59} - 30 q^{60} - 54 q^{61} - 21 q^{62} - 54 q^{63} - 33 q^{64} + 24 q^{65} - 27 q^{66} + 6 q^{67} - 6 q^{68} - 15 q^{69} + 36 q^{70} - 24 q^{71} - 3 q^{72} - 15 q^{73} + 6 q^{74} + 15 q^{78} + 21 q^{79} + 138 q^{81} + 6 q^{82} + 12 q^{83} - 24 q^{84} - 36 q^{85} - 3 q^{86} + 30 q^{87} + 9 q^{89} - 42 q^{90} + 27 q^{91} - 12 q^{92} - 9 q^{93} - 6 q^{94} - 3 q^{95} - 30 q^{97} + 24 q^{98} - 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/342\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{9}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) −1.71473 0.244308i −0.990002 0.141051i
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −0.582433 + 3.30314i −0.260472 + 1.47721i 0.521154 + 0.853462i \(0.325502\pi\)
−0.781626 + 0.623747i \(0.785609\pi\)
\(6\) 1.69488 0.356899i 0.691932 0.145703i
\(7\) 1.43346 2.48282i 0.541796 0.938418i −0.457005 0.889464i \(-0.651078\pi\)
0.998801 0.0489538i \(-0.0155887\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 2.88063 + 0.837847i 0.960209 + 0.279282i
\(10\) −0.582433 3.30314i −0.184181 1.04454i
\(11\) −4.22426 −1.27366 −0.636832 0.771003i \(-0.719755\pi\)
−0.636832 + 0.771003i \(0.719755\pi\)
\(12\) −1.47060 + 0.915059i −0.424526 + 0.264155i
\(13\) 0.835794 + 4.74002i 0.231808 + 1.31465i 0.849234 + 0.528017i \(0.177064\pi\)
−0.617426 + 0.786629i \(0.711825\pi\)
\(14\) −0.497834 + 2.82336i −0.133052 + 0.754574i
\(15\) 1.80570 5.52172i 0.466230 1.42570i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 0.584402 3.31431i 0.141738 0.803838i −0.828190 0.560447i \(-0.810629\pi\)
0.969928 0.243391i \(-0.0782597\pi\)
\(18\) −2.99346 + 0.197914i −0.705566 + 0.0466488i
\(19\) −4.26775 0.886729i −0.979090 0.203429i
\(20\) 1.67705 + 2.90473i 0.374999 + 0.649518i
\(21\) −3.06457 + 3.90717i −0.668744 + 0.852615i
\(22\) 3.96951 1.44478i 0.846302 0.308029i
\(23\) −3.72609 + 3.12656i −0.776944 + 0.651933i −0.942477 0.334271i \(-0.891510\pi\)
0.165533 + 0.986204i \(0.447066\pi\)
\(24\) 1.06894 1.36285i 0.218197 0.278190i
\(25\) −5.87305 2.13762i −1.17461 0.427523i
\(26\) −2.40657 4.16831i −0.471968 0.817472i
\(27\) −4.73482 2.14044i −0.911216 0.411929i
\(28\) −0.497834 2.82336i −0.0940818 0.533565i
\(29\) −4.88250 + 4.09690i −0.906657 + 0.760776i −0.971480 0.237121i \(-0.923796\pi\)
0.0648227 + 0.997897i \(0.479352\pi\)
\(30\) 0.191734 + 5.80630i 0.0350056 + 1.06008i
\(31\) −10.5571 −1.89610 −0.948052 0.318116i \(-0.896950\pi\)
−0.948052 + 0.318116i \(0.896950\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) 7.24349 + 1.03202i 1.26093 + 0.179652i
\(34\) 0.584402 + 3.31431i 0.100224 + 0.568399i
\(35\) 7.36621 + 6.18099i 1.24512 + 1.04478i
\(36\) 2.74525 1.20980i 0.457541 0.201634i
\(37\) −7.65590 −1.25862 −0.629311 0.777154i \(-0.716663\pi\)
−0.629311 + 0.777154i \(0.716663\pi\)
\(38\) 4.31365 0.626405i 0.699767 0.101616i
\(39\) −0.275139 8.33207i −0.0440575 1.33420i
\(40\) −2.56939 2.15597i −0.406256 0.340889i
\(41\) 3.61180 1.31459i 0.564068 0.205304i −0.0442178 0.999022i \(-0.514080\pi\)
0.608286 + 0.793718i \(0.291857\pi\)
\(42\) 1.54342 4.71968i 0.238155 0.728263i
\(43\) 8.32002 + 6.98133i 1.26879 + 1.06464i 0.994687 + 0.102943i \(0.0328258\pi\)
0.274104 + 0.961700i \(0.411619\pi\)
\(44\) −3.23597 + 2.71531i −0.487842 + 0.409348i
\(45\) −4.44530 + 9.02713i −0.662666 + 1.34568i
\(46\) 2.43203 4.21241i 0.358584 0.621086i
\(47\) 1.85247 1.55441i 0.270210 0.226733i −0.497606 0.867403i \(-0.665788\pi\)
0.767817 + 0.640670i \(0.221343\pi\)
\(48\) −0.538357 + 1.64626i −0.0777051 + 0.237617i
\(49\) −0.609597 1.05585i −0.0870852 0.150836i
\(50\) 6.24997 0.883879
\(51\) −1.81181 + 5.54038i −0.253704 + 0.775809i
\(52\) 3.68708 + 3.09383i 0.511306 + 0.429037i
\(53\) −0.393836 0.143345i −0.0540976 0.0196899i 0.314830 0.949148i \(-0.398053\pi\)
−0.368927 + 0.929458i \(0.620275\pi\)
\(54\) 5.18135 + 0.391957i 0.705092 + 0.0533386i
\(55\) 2.46035 13.9533i 0.331754 1.88147i
\(56\) 1.43346 + 2.48282i 0.191554 + 0.331781i
\(57\) 7.10143 + 2.56315i 0.940607 + 0.339498i
\(58\) 3.18683 5.51974i 0.418451 0.724778i
\(59\) −3.25373 2.73020i −0.423599 0.355442i 0.405931 0.913904i \(-0.366947\pi\)
−0.829530 + 0.558462i \(0.811392\pi\)
\(60\) −2.16604 5.39056i −0.279635 0.695919i
\(61\) −2.18094 12.3687i −0.279241 1.58365i −0.725160 0.688581i \(-0.758234\pi\)
0.445919 0.895073i \(-0.352877\pi\)
\(62\) 9.92039 3.61073i 1.25989 0.458563i
\(63\) 6.20948 5.95106i 0.782321 0.749763i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −16.1438 −2.00239
\(66\) −7.15963 + 1.50764i −0.881289 + 0.185577i
\(67\) 7.88148 + 2.86862i 0.962876 + 0.350458i 0.775160 0.631765i \(-0.217669\pi\)
0.187716 + 0.982223i \(0.439892\pi\)
\(68\) −1.68272 2.91455i −0.204060 0.353442i
\(69\) 7.15310 4.45091i 0.861132 0.535827i
\(70\) −9.03600 3.28883i −1.08001 0.393091i
\(71\) −0.368096 + 0.133976i −0.0436850 + 0.0159000i −0.363770 0.931489i \(-0.618511\pi\)
0.320085 + 0.947389i \(0.396288\pi\)
\(72\) −2.16591 + 2.07577i −0.255255 + 0.244632i
\(73\) 6.25923 + 5.25212i 0.732588 + 0.614714i 0.930836 0.365438i \(-0.119081\pi\)
−0.198248 + 0.980152i \(0.563525\pi\)
\(74\) 7.19419 2.61847i 0.836308 0.304391i
\(75\) 9.54848 + 5.10028i 1.10256 + 0.588929i
\(76\) −3.83927 + 2.06398i −0.440394 + 0.236755i
\(77\) −6.05530 + 10.4881i −0.690066 + 1.19523i
\(78\) 3.10828 + 7.73548i 0.351944 + 0.875871i
\(79\) −1.44744 + 8.20884i −0.162850 + 0.923567i 0.788404 + 0.615158i \(0.210908\pi\)
−0.951254 + 0.308409i \(0.900203\pi\)
\(80\) 3.15182 + 1.14717i 0.352384 + 0.128257i
\(81\) 7.59603 + 4.82705i 0.844003 + 0.536339i
\(82\) −2.94437 + 2.47062i −0.325151 + 0.272834i
\(83\) 2.62126 4.54016i 0.287721 0.498347i −0.685545 0.728031i \(-0.740436\pi\)
0.973265 + 0.229684i \(0.0737692\pi\)
\(84\) 0.163884 + 4.96293i 0.0178812 + 0.541501i
\(85\) 10.6073 + 3.86072i 1.15052 + 0.418754i
\(86\) −10.2060 3.71469i −1.10054 0.400565i
\(87\) 9.37310 5.83227i 1.00490 0.625285i
\(88\) 2.11213 3.65832i 0.225154 0.389978i
\(89\) 1.76943 1.48473i 0.187559 0.157381i −0.544173 0.838973i \(-0.683157\pi\)
0.731732 + 0.681592i \(0.238712\pi\)
\(90\) 1.08975 10.0031i 0.114870 1.05442i
\(91\) 12.9667 + 4.71949i 1.35928 + 0.494737i
\(92\) −0.844637 + 4.79017i −0.0880595 + 0.499410i
\(93\) 18.1026 + 2.57917i 1.87715 + 0.267448i
\(94\) −1.20911 + 2.09425i −0.124711 + 0.216005i
\(95\) 5.41467 13.5805i 0.555533 1.39333i
\(96\) −0.0571640 1.73111i −0.00583428 0.176680i
\(97\) −3.72053 + 1.35416i −0.377763 + 0.137494i −0.523921 0.851767i \(-0.675531\pi\)
0.146158 + 0.989261i \(0.453309\pi\)
\(98\) 0.933956 + 0.783682i 0.0943438 + 0.0791639i
\(99\) −12.1685 3.53929i −1.22298 0.355712i
\(100\) −5.87305 + 2.13762i −0.587305 + 0.213762i
\(101\) −0.418958 0.152488i −0.0416879 0.0151732i 0.321092 0.947048i \(-0.395950\pi\)
−0.362780 + 0.931875i \(0.618172\pi\)
\(102\) −0.192382 5.82593i −0.0190487 0.576853i
\(103\) 3.61500 + 6.26137i 0.356197 + 0.616951i 0.987322 0.158730i \(-0.0507400\pi\)
−0.631125 + 0.775681i \(0.717407\pi\)
\(104\) −4.52288 1.64619i −0.443505 0.161422i
\(105\) −11.1210 12.3984i −1.08530 1.20996i
\(106\) 0.419112 0.0407077
\(107\) 4.68164 + 8.10884i 0.452592 + 0.783912i 0.998546 0.0539032i \(-0.0171662\pi\)
−0.545955 + 0.837815i \(0.683833\pi\)
\(108\) −5.00293 + 1.40381i −0.481407 + 0.135081i
\(109\) −14.3044 + 5.20639i −1.37012 + 0.498681i −0.919167 0.393869i \(-0.871137\pi\)
−0.450949 + 0.892550i \(0.648914\pi\)
\(110\) 2.46035 + 13.9533i 0.234585 + 1.33040i
\(111\) 13.1278 + 1.87040i 1.24604 + 0.177530i
\(112\) −2.19618 1.84282i −0.207520 0.174130i
\(113\) −2.94975 + 5.10911i −0.277489 + 0.480625i −0.970760 0.240052i \(-0.922836\pi\)
0.693271 + 0.720677i \(0.256169\pi\)
\(114\) −7.54981 + 0.0202576i −0.707104 + 0.00189730i
\(115\) −8.15728 14.1288i −0.760670 1.31752i
\(116\) −1.10677 + 6.27682i −0.102761 + 0.582788i
\(117\) −1.56380 + 14.3545i −0.144574 + 1.32707i
\(118\) 3.99129 + 1.45271i 0.367428 + 0.133733i
\(119\) −7.39112 6.20188i −0.677542 0.568526i
\(120\) 3.87910 + 4.32464i 0.354111 + 0.394784i
\(121\) 6.84441 0.622219
\(122\) 6.27977 + 10.8769i 0.568544 + 0.984747i
\(123\) −6.51444 + 1.37178i −0.587387 + 0.123689i
\(124\) −8.08718 + 6.78595i −0.726250 + 0.609396i
\(125\) 2.09626 3.63083i 0.187495 0.324751i
\(126\) −3.79962 + 7.71593i −0.338497 + 0.687390i
\(127\) 0.0627247 0.0526323i 0.00556592 0.00467036i −0.640000 0.768375i \(-0.721066\pi\)
0.645566 + 0.763704i \(0.276621\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) −12.5610 14.0038i −1.10594 1.23296i
\(130\) 15.1702 5.52149i 1.33051 0.484267i
\(131\) −8.23943 6.91370i −0.719882 0.604053i 0.207470 0.978241i \(-0.433477\pi\)
−0.927353 + 0.374188i \(0.877921\pi\)
\(132\) 6.21221 3.86545i 0.540703 0.336444i
\(133\) −8.31923 + 9.32497i −0.721368 + 0.808578i
\(134\) −8.38729 −0.724552
\(135\) 9.82791 14.3931i 0.845851 1.23876i
\(136\) 2.57807 + 2.16326i 0.221068 + 0.185498i
\(137\) 0.934575 + 5.30024i 0.0798461 + 0.452830i 0.998350 + 0.0574184i \(0.0182869\pi\)
−0.918504 + 0.395412i \(0.870602\pi\)
\(138\) −5.19942 + 6.62899i −0.442604 + 0.564297i
\(139\) 3.08408 + 17.4907i 0.261588 + 1.48354i 0.778578 + 0.627548i \(0.215941\pi\)
−0.516990 + 0.855991i \(0.672948\pi\)
\(140\) 9.61591 0.812693
\(141\) −3.55625 + 2.21282i −0.299490 + 0.186353i
\(142\) 0.300075 0.251793i 0.0251817 0.0211300i
\(143\) −3.53061 20.0231i −0.295245 1.67442i
\(144\) 1.32533 2.69137i 0.110444 0.224281i
\(145\) −10.6889 18.5138i −0.887667 1.53748i
\(146\) −7.67809 2.79459i −0.635443 0.231282i
\(147\) 0.787343 + 1.95944i 0.0649390 + 0.161612i
\(148\) −5.86476 + 4.92112i −0.482080 + 0.404513i
\(149\) −2.78398 + 1.01329i −0.228073 + 0.0830116i −0.453529 0.891242i \(-0.649835\pi\)
0.225456 + 0.974253i \(0.427613\pi\)
\(150\) −10.7170 1.52692i −0.875042 0.124672i
\(151\) 3.86980 + 6.70268i 0.314920 + 0.545457i 0.979420 0.201831i \(-0.0646891\pi\)
−0.664501 + 0.747288i \(0.731356\pi\)
\(152\) 2.90181 3.25262i 0.235368 0.263822i
\(153\) 4.46033 9.05765i 0.360596 0.732267i
\(154\) 2.10298 11.9266i 0.169463 0.961074i
\(155\) 6.14878 34.8715i 0.493882 2.80094i
\(156\) −5.56652 6.20588i −0.445678 0.496868i
\(157\) 1.19805 6.79445i 0.0956144 0.542256i −0.898943 0.438066i \(-0.855664\pi\)
0.994557 0.104191i \(-0.0332252\pi\)
\(158\) −1.44744 8.20884i −0.115152 0.653061i
\(159\) 0.640304 + 0.342015i 0.0507794 + 0.0271236i
\(160\) −3.35410 −0.265165
\(161\) 2.42150 + 13.7330i 0.190841 + 1.08231i
\(162\) −8.78888 1.93795i −0.690519 0.152260i
\(163\) 6.93114 12.0051i 0.542889 0.940310i −0.455848 0.890058i \(-0.650664\pi\)
0.998737 0.0502529i \(-0.0160027\pi\)
\(164\) 1.92180 3.32865i 0.150067 0.259924i
\(165\) −7.62776 + 23.3252i −0.593820 + 1.81586i
\(166\) −0.910354 + 5.16287i −0.0706572 + 0.400717i
\(167\) −9.37759 + 7.86873i −0.725660 + 0.608901i −0.928945 0.370219i \(-0.879283\pi\)
0.203285 + 0.979120i \(0.434838\pi\)
\(168\) −1.85142 4.60758i −0.142841 0.355483i
\(169\) −9.55326 + 3.47710i −0.734866 + 0.267469i
\(170\) −11.2880 −0.865750
\(171\) −11.5509 6.13006i −0.883316 0.468777i
\(172\) 10.8610 0.828145
\(173\) 18.0436 6.56734i 1.37183 0.499306i 0.452140 0.891947i \(-0.350661\pi\)
0.919692 + 0.392641i \(0.128439\pi\)
\(174\) −6.81308 + 8.68633i −0.516498 + 0.658509i
\(175\) −13.7261 + 11.5175i −1.03759 + 0.870645i
\(176\) −0.733536 + 4.16009i −0.0552923 + 0.313578i
\(177\) 4.91227 + 5.47648i 0.369229 + 0.411637i
\(178\) −1.15491 + 2.00037i −0.0865644 + 0.149934i
\(179\) 3.99236 6.91498i 0.298403 0.516850i −0.677368 0.735645i \(-0.736879\pi\)
0.975771 + 0.218795i \(0.0702126\pi\)
\(180\) 2.39723 + 9.77256i 0.178679 + 0.728404i
\(181\) −2.62487 14.8864i −0.195105 1.10649i −0.912270 0.409590i \(-0.865672\pi\)
0.717165 0.696904i \(-0.245439\pi\)
\(182\) −13.7989 −1.02284
\(183\) 0.717954 + 21.7419i 0.0530727 + 1.60721i
\(184\) −0.844637 4.79017i −0.0622674 0.353136i
\(185\) 4.45905 25.2885i 0.327836 1.85925i
\(186\) −17.8930 + 3.76781i −1.31198 + 0.276269i
\(187\) −2.46867 + 14.0005i −0.180527 + 1.02382i
\(188\) 0.419921 2.38149i 0.0306259 0.173688i
\(189\) −12.1015 + 8.68746i −0.880254 + 0.631920i
\(190\) −0.443310 + 14.6134i −0.0321611 + 1.06017i
\(191\) 9.14194 + 15.8343i 0.661488 + 1.14573i 0.980225 + 0.197887i \(0.0634080\pi\)
−0.318737 + 0.947843i \(0.603259\pi\)
\(192\) 0.645790 + 1.60716i 0.0466059 + 0.115987i
\(193\) 8.90883 3.24255i 0.641272 0.233404i −0.000858261 1.00000i \(-0.500273\pi\)
0.642130 + 0.766596i \(0.278051\pi\)
\(194\) 3.03300 2.54499i 0.217757 0.182720i
\(195\) 27.6823 + 3.94405i 1.98237 + 0.282439i
\(196\) −1.14567 0.416989i −0.0818334 0.0297849i
\(197\) −0.491564 0.851414i −0.0350225 0.0606607i 0.847983 0.530024i \(-0.177817\pi\)
−0.883005 + 0.469363i \(0.844484\pi\)
\(198\) 12.6452 0.836042i 0.898654 0.0594149i
\(199\) 1.69252 + 9.59875i 0.119979 + 0.680437i 0.984164 + 0.177262i \(0.0567239\pi\)
−0.864184 + 0.503175i \(0.832165\pi\)
\(200\) 4.78775 4.01740i 0.338545 0.284073i
\(201\) −12.8138 6.84443i −0.903817 0.482769i
\(202\) 0.445846 0.0313696
\(203\) 3.17302 + 17.9951i 0.222703 + 1.26301i
\(204\) 2.17337 + 5.40879i 0.152166 + 0.378691i
\(205\) 2.23864 + 12.6959i 0.156353 + 0.886723i
\(206\) −5.53850 4.64736i −0.385886 0.323797i
\(207\) −13.3531 + 5.88457i −0.928102 + 0.409006i
\(208\) 4.81315 0.333732
\(209\) 18.0281 + 3.74578i 1.24703 + 0.259101i
\(210\) 14.6908 + 7.84704i 1.01376 + 0.541497i
\(211\) 6.50343 + 5.45703i 0.447715 + 0.375677i 0.838587 0.544768i \(-0.183382\pi\)
−0.390872 + 0.920445i \(0.627827\pi\)
\(212\) −0.393836 + 0.143345i −0.0270488 + 0.00984495i
\(213\) 0.663918 0.139804i 0.0454909 0.00957924i
\(214\) −7.17269 6.01860i −0.490315 0.411423i
\(215\) −27.9062 + 23.4161i −1.90318 + 1.59696i
\(216\) 4.22109 3.03025i 0.287209 0.206182i
\(217\) −15.1331 + 26.2113i −1.02730 + 1.77934i
\(218\) 11.6611 9.78480i 0.789788 0.662711i
\(219\) −9.44979 10.5352i −0.638557 0.711901i
\(220\) −7.08430 12.2704i −0.477623 0.827268i
\(221\) 16.1983 1.08962
\(222\) −12.9758 + 2.73238i −0.870881 + 0.183386i
\(223\) 0.104340 + 0.0875515i 0.00698711 + 0.00586288i 0.646274 0.763105i \(-0.276326\pi\)
−0.639287 + 0.768968i \(0.720771\pi\)
\(224\) 2.69402 + 0.980542i 0.180002 + 0.0655152i
\(225\) −15.1271 11.0784i −1.00847 0.738559i
\(226\) 1.02444 5.80987i 0.0681445 0.386467i
\(227\) −10.1447 17.5711i −0.673326 1.16624i −0.976955 0.213445i \(-0.931532\pi\)
0.303629 0.952790i \(-0.401802\pi\)
\(228\) 7.08757 2.60122i 0.469386 0.172270i
\(229\) 2.52074 4.36605i 0.166575 0.288517i −0.770638 0.637273i \(-0.780063\pi\)
0.937214 + 0.348756i \(0.113396\pi\)
\(230\) 12.4977 + 10.4868i 0.824073 + 0.691479i
\(231\) 12.9456 16.5049i 0.851755 1.08594i
\(232\) −1.10677 6.27682i −0.0726632 0.412093i
\(233\) −2.17708 + 0.792393i −0.142625 + 0.0519114i −0.412347 0.911027i \(-0.635291\pi\)
0.269721 + 0.962938i \(0.413068\pi\)
\(234\) −3.44004 14.0237i −0.224882 0.916756i
\(235\) 4.05548 + 7.02431i 0.264551 + 0.458215i
\(236\) −4.24744 −0.276485
\(237\) 4.48746 13.7224i 0.291492 0.891363i
\(238\) 9.06655 + 3.29995i 0.587697 + 0.213904i
\(239\) −4.65356 8.06020i −0.301014 0.521371i 0.675352 0.737495i \(-0.263992\pi\)
−0.976366 + 0.216124i \(0.930658\pi\)
\(240\) −5.12427 2.73710i −0.330770 0.176679i
\(241\) 23.1095 + 8.41116i 1.48861 + 0.541811i 0.953084 0.302707i \(-0.0978903\pi\)
0.535528 + 0.844517i \(0.320112\pi\)
\(242\) −6.43164 + 2.34093i −0.413442 + 0.150480i
\(243\) −11.8459 10.1329i −0.759913 0.650024i
\(244\) −9.62117 8.07312i −0.615932 0.516828i
\(245\) 3.84268 1.39862i 0.245500 0.0893546i
\(246\) 5.65240 3.51712i 0.360384 0.224243i
\(247\) 0.636152 20.9704i 0.0404774 1.33431i
\(248\) 5.27853 9.14268i 0.335187 0.580561i
\(249\) −5.60396 + 7.14476i −0.355137 + 0.452781i
\(250\) −0.728023 + 4.12883i −0.0460442 + 0.261130i
\(251\) 6.06911 + 2.20898i 0.383079 + 0.139429i 0.526379 0.850250i \(-0.323549\pi\)
−0.143300 + 0.989679i \(0.545771\pi\)
\(252\) 0.931467 8.55015i 0.0586769 0.538609i
\(253\) 15.7400 13.2074i 0.989565 0.830344i
\(254\) −0.0409406 + 0.0709113i −0.00256884 + 0.00444937i
\(255\) −17.2454 9.21155i −1.07995 0.576850i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 13.4434 + 4.89301i 0.838578 + 0.305217i 0.725374 0.688355i \(-0.241667\pi\)
0.113203 + 0.993572i \(0.463889\pi\)
\(258\) 16.5931 + 8.86311i 1.03304 + 0.551793i
\(259\) −10.9744 + 19.0082i −0.681916 + 1.18111i
\(260\) −12.3668 + 10.3770i −0.766959 + 0.643555i
\(261\) −17.4972 + 7.71087i −1.08305 + 0.477291i
\(262\) 10.1072 + 3.67870i 0.624422 + 0.227271i
\(263\) −4.11500 + 23.3373i −0.253741 + 1.43904i 0.545541 + 0.838084i \(0.316324\pi\)
−0.799283 + 0.600955i \(0.794787\pi\)
\(264\) −4.51550 + 5.75704i −0.277910 + 0.354321i
\(265\) 0.702871 1.21741i 0.0431770 0.0747848i
\(266\) 4.62819 11.6080i 0.283772 0.711729i
\(267\) −3.39683 + 2.11363i −0.207883 + 0.129352i
\(268\) 7.88148 2.86862i 0.481438 0.175229i
\(269\) −5.94160 4.98559i −0.362266 0.303977i 0.443427 0.896310i \(-0.353762\pi\)
−0.805693 + 0.592333i \(0.798207\pi\)
\(270\) −4.31248 + 16.8864i −0.262449 + 1.02768i
\(271\) −8.27147 + 3.01057i −0.502456 + 0.182879i −0.580798 0.814048i \(-0.697259\pi\)
0.0783424 + 0.996927i \(0.475037\pi\)
\(272\) −3.16248 1.15105i −0.191753 0.0697925i
\(273\) −21.0814 11.2605i −1.27591 0.681519i
\(274\) −2.69100 4.66095i −0.162569 0.281578i
\(275\) 24.8093 + 9.02985i 1.49606 + 0.544521i
\(276\) 2.61861 8.00752i 0.157622 0.481996i
\(277\) 0.968448 0.0581884 0.0290942 0.999577i \(-0.490738\pi\)
0.0290942 + 0.999577i \(0.490738\pi\)
\(278\) −8.88024 15.3810i −0.532602 0.922493i
\(279\) −30.4110 8.84520i −1.82066 0.529548i
\(280\) −9.03600 + 3.28883i −0.540004 + 0.196545i
\(281\) −4.61476 26.1716i −0.275294 1.56127i −0.738027 0.674771i \(-0.764242\pi\)
0.462733 0.886497i \(-0.346869\pi\)
\(282\) 2.58495 3.29568i 0.153932 0.196255i
\(283\) −2.37338 1.99150i −0.141083 0.118382i 0.569515 0.821981i \(-0.307131\pi\)
−0.710598 + 0.703598i \(0.751575\pi\)
\(284\) −0.195860 + 0.339239i −0.0116221 + 0.0201301i
\(285\) −12.6026 + 21.9642i −0.746511 + 1.30104i
\(286\) 10.1660 + 17.6080i 0.601128 + 1.04118i
\(287\) 1.91347 10.8519i 0.112949 0.640565i
\(288\) −0.324902 + 2.98235i −0.0191451 + 0.175737i
\(289\) 5.33166 + 1.94057i 0.313627 + 0.114151i
\(290\) 16.3764 + 13.7414i 0.961654 + 0.806924i
\(291\) 6.71055 1.41307i 0.393380 0.0828358i
\(292\) 8.17085 0.478163
\(293\) 4.65805 + 8.06797i 0.272126 + 0.471336i 0.969406 0.245463i \(-0.0789399\pi\)
−0.697280 + 0.716799i \(0.745607\pi\)
\(294\) −1.41003 1.57198i −0.0822344 0.0916797i
\(295\) 10.9133 9.15736i 0.635398 0.533162i
\(296\) 3.82795 6.63020i 0.222495 0.385373i
\(297\) 20.0011 + 9.04181i 1.16058 + 0.524659i
\(298\) 2.26952 1.90435i 0.131470 0.110316i
\(299\) −17.9342 15.0486i −1.03716 0.870283i
\(300\) 10.5930 2.23061i 0.611585 0.128784i
\(301\) 29.2598 10.6497i 1.68651 0.613838i
\(302\) −5.92887 4.97491i −0.341168 0.286274i
\(303\) 0.681148 + 0.363832i 0.0391309 + 0.0209016i
\(304\) −1.61434 + 4.04894i −0.0925890 + 0.232222i
\(305\) 42.1259 2.41212
\(306\) −1.09344 + 10.0369i −0.0625077 + 0.573773i
\(307\) 8.52088 + 7.14987i 0.486312 + 0.408064i 0.852702 0.522397i \(-0.174962\pi\)
−0.366390 + 0.930461i \(0.619406\pi\)
\(308\) 2.10298 + 11.9266i 0.119829 + 0.679582i
\(309\) −4.66906 11.6198i −0.265614 0.661025i
\(310\) 6.14878 + 34.8715i 0.349227 + 1.98057i
\(311\) −28.3861 −1.60963 −0.804815 0.593525i \(-0.797736\pi\)
−0.804815 + 0.593525i \(0.797736\pi\)
\(312\) 7.35335 + 3.92776i 0.416302 + 0.222366i
\(313\) −3.90688 + 3.27827i −0.220830 + 0.185299i −0.746491 0.665396i \(-0.768263\pi\)
0.525660 + 0.850695i \(0.323818\pi\)
\(314\) 1.19805 + 6.79445i 0.0676096 + 0.383433i
\(315\) 16.0406 + 23.9769i 0.903785 + 1.35094i
\(316\) 4.16774 + 7.21874i 0.234454 + 0.406086i
\(317\) 16.1770 + 5.88793i 0.908588 + 0.330699i 0.753689 0.657231i \(-0.228272\pi\)
0.154899 + 0.987930i \(0.450495\pi\)
\(318\) −0.718665 0.102392i −0.0403007 0.00574188i
\(319\) 20.6250 17.3064i 1.15478 0.968973i
\(320\) 3.15182 1.14717i 0.176192 0.0641287i
\(321\) −6.04672 15.0483i −0.337495 0.839913i
\(322\) −6.97243 12.0766i −0.388558 0.673003i
\(323\) −5.43298 + 13.6264i −0.302299 + 0.758196i
\(324\) 8.92166 1.18490i 0.495648 0.0658277i
\(325\) 5.22369 29.6250i 0.289758 1.64330i
\(326\) −2.40716 + 13.6517i −0.133320 + 0.756096i
\(327\) 25.8003 5.43288i 1.42676 0.300439i
\(328\) −0.667434 + 3.78520i −0.0368529 + 0.209003i
\(329\) −1.20388 6.82752i −0.0663719 0.376414i
\(330\) −0.809934 24.5274i −0.0445854 1.35019i
\(331\) 6.30929 0.346790 0.173395 0.984852i \(-0.444526\pi\)
0.173395 + 0.984852i \(0.444526\pi\)
\(332\) −0.910354 5.16287i −0.0499622 0.283350i
\(333\) −22.0538 6.41447i −1.20854 0.351511i
\(334\) 6.12079 10.6015i 0.334915 0.580089i
\(335\) −14.0659 + 24.3629i −0.768502 + 1.33108i
\(336\) 3.31566 + 3.69649i 0.180884 + 0.201660i
\(337\) −0.232685 + 1.31962i −0.0126751 + 0.0718843i −0.990489 0.137590i \(-0.956064\pi\)
0.977814 + 0.209475i \(0.0671754\pi\)
\(338\) 7.78789 6.53482i 0.423605 0.355447i
\(339\) 6.30623 8.04013i 0.342508 0.436680i
\(340\) 10.6073 3.86072i 0.575259 0.209377i
\(341\) 44.5958 2.41500
\(342\) 12.9509 + 1.80974i 0.700302 + 0.0978596i
\(343\) 16.5731 0.894862
\(344\) −10.2060 + 3.71469i −0.550272 + 0.200283i
\(345\) 10.5358 + 26.2201i 0.567227 + 1.41164i
\(346\) −14.7093 + 12.3426i −0.790777 + 0.663541i
\(347\) −2.17881 + 12.3566i −0.116965 + 0.663339i 0.868794 + 0.495173i \(0.164895\pi\)
−0.985759 + 0.168166i \(0.946216\pi\)
\(348\) 3.43130 10.4927i 0.183937 0.562467i
\(349\) −7.15255 + 12.3886i −0.382867 + 0.663146i −0.991471 0.130329i \(-0.958397\pi\)
0.608603 + 0.793475i \(0.291730\pi\)
\(350\) 8.95906 15.5175i 0.478882 0.829448i
\(351\) 6.18843 24.2321i 0.330314 1.29341i
\(352\) −0.733536 4.16009i −0.0390976 0.221733i
\(353\) −25.2300 −1.34286 −0.671429 0.741069i \(-0.734319\pi\)
−0.671429 + 0.741069i \(0.734319\pi\)
\(354\) −6.48909 3.46611i −0.344891 0.184222i
\(355\) −0.228150 1.29391i −0.0121090 0.0686734i
\(356\) 0.401097 2.27473i 0.0212581 0.120561i
\(357\) 11.1586 + 12.4403i 0.590577 + 0.658410i
\(358\) −1.38653 + 7.86342i −0.0732806 + 0.415595i
\(359\) 0.556396 3.15548i 0.0293655 0.166540i −0.966598 0.256296i \(-0.917498\pi\)
0.995964 + 0.0897564i \(0.0286088\pi\)
\(360\) −5.59507 8.36331i −0.294886 0.440785i
\(361\) 17.4274 + 7.56868i 0.917233 + 0.398351i
\(362\) 7.55800 + 13.0908i 0.397240 + 0.688039i
\(363\) −11.7363 1.67215i −0.615999 0.0877649i
\(364\) 12.9667 4.71949i 0.679640 0.247369i
\(365\) −20.9941 + 17.6161i −1.09888 + 0.922070i
\(366\) −8.11083 20.1852i −0.423960 1.05510i
\(367\) −5.48497 1.99636i −0.286313 0.104209i 0.194871 0.980829i \(-0.437571\pi\)
−0.481184 + 0.876619i \(0.659793\pi\)
\(368\) 2.43203 + 4.21241i 0.126779 + 0.219587i
\(369\) 11.5057 0.760702i 0.598961 0.0396006i
\(370\) 4.45905 + 25.2885i 0.231815 + 1.31469i
\(371\) −0.920446 + 0.772346i −0.0477872 + 0.0400982i
\(372\) 15.5252 9.66033i 0.804945 0.500865i
\(373\) −28.4672 −1.47397 −0.736987 0.675907i \(-0.763752\pi\)
−0.736987 + 0.675907i \(0.763752\pi\)
\(374\) −2.46867 14.0005i −0.127652 0.723949i
\(375\) −4.48157 + 5.71377i −0.231427 + 0.295058i
\(376\) 0.419921 + 2.38149i 0.0216558 + 0.122816i
\(377\) −23.5002 19.7190i −1.21032 1.01558i
\(378\) 8.40040 12.3025i 0.432070 0.632772i
\(379\) −13.2102 −0.678564 −0.339282 0.940685i \(-0.610184\pi\)
−0.339282 + 0.940685i \(0.610184\pi\)
\(380\) −4.58152 13.8838i −0.235027 0.712222i
\(381\) −0.120415 + 0.0749262i −0.00616903 + 0.00383859i
\(382\) −14.0063 11.7527i −0.716623 0.601318i
\(383\) 5.47403 1.99239i 0.279710 0.101806i −0.198356 0.980130i \(-0.563560\pi\)
0.478066 + 0.878324i \(0.341338\pi\)
\(384\) −1.15652 1.28936i −0.0590186 0.0657974i
\(385\) −31.1168 26.1101i −1.58586 1.33070i
\(386\) −7.26255 + 6.09400i −0.369654 + 0.310176i
\(387\) 18.1176 + 27.0815i 0.920969 + 1.37663i
\(388\) −1.97965 + 3.42886i −0.100502 + 0.174074i
\(389\) −8.74208 + 7.33548i −0.443241 + 0.371923i −0.836921 0.547324i \(-0.815646\pi\)
0.393679 + 0.919248i \(0.371202\pi\)
\(390\) −27.3618 + 5.76169i −1.38552 + 0.291755i
\(391\) 8.18486 + 14.1766i 0.413926 + 0.716941i
\(392\) 1.21919 0.0615786
\(393\) 12.4394 + 13.8681i 0.627483 + 0.699554i
\(394\) 0.753120 + 0.631943i 0.0379416 + 0.0318368i
\(395\) −26.2719 9.56220i −1.32188 0.481127i
\(396\) −11.5966 + 5.11053i −0.582753 + 0.256814i
\(397\) −4.36152 + 24.7354i −0.218898 + 1.24143i 0.655114 + 0.755530i \(0.272621\pi\)
−0.874012 + 0.485904i \(0.838490\pi\)
\(398\) −4.87341 8.44100i −0.244282 0.423109i
\(399\) 16.5434 13.9574i 0.828207 0.698744i
\(400\) −3.12498 + 5.41263i −0.156249 + 0.270632i
\(401\) 21.2320 + 17.8158i 1.06028 + 0.889677i 0.994136 0.108133i \(-0.0344874\pi\)
0.0661393 + 0.997810i \(0.478932\pi\)
\(402\) 14.3820 + 2.04908i 0.717308 + 0.102199i
\(403\) −8.82353 50.0407i −0.439531 2.49271i
\(404\) −0.418958 + 0.152488i −0.0208439 + 0.00758658i
\(405\) −20.3686 + 22.2793i −1.01212 + 1.10707i
\(406\) −9.13635 15.8246i −0.453430 0.785363i
\(407\) 32.3405 1.60306
\(408\) −3.89221 4.33926i −0.192693 0.214825i
\(409\) −28.4295 10.3475i −1.40575 0.511651i −0.475870 0.879516i \(-0.657867\pi\)
−0.929879 + 0.367865i \(0.880089\pi\)
\(410\) −6.44590 11.1646i −0.318340 0.551381i
\(411\) −0.307657 9.31682i −0.0151756 0.459565i
\(412\) 6.79398 + 2.47281i 0.334715 + 0.121826i
\(413\) −11.4427 + 4.16479i −0.563057 + 0.204936i
\(414\) 10.5351 10.0967i 0.517774 0.496226i
\(415\) 13.4701 + 11.3027i 0.661219 + 0.554829i
\(416\) −4.52288 + 1.64619i −0.221752 + 0.0807112i
\(417\) −1.01526 30.7453i −0.0497176 1.50560i
\(418\) −18.2220 + 2.64610i −0.891268 + 0.129425i
\(419\) 9.58059 16.5941i 0.468042 0.810673i −0.531291 0.847190i \(-0.678293\pi\)
0.999333 + 0.0365164i \(0.0116261\pi\)
\(420\) −16.4887 2.34924i −0.804567 0.114631i
\(421\) 0.195808 1.11048i 0.00954308 0.0541215i −0.979664 0.200643i \(-0.935697\pi\)
0.989207 + 0.146522i \(0.0468079\pi\)
\(422\) −7.97764 2.90362i −0.388346 0.141346i
\(423\) 6.63863 2.92558i 0.322781 0.142247i
\(424\) 0.321058 0.269400i 0.0155920 0.0130832i
\(425\) −10.5169 + 18.2159i −0.510146 + 0.883600i
\(426\) −0.576063 + 0.358447i −0.0279104 + 0.0173668i
\(427\) −33.8356 12.3152i −1.63742 0.595972i
\(428\) 8.79861 + 3.20243i 0.425297 + 0.154795i
\(429\) 1.16226 + 35.1969i 0.0561144 + 1.69932i
\(430\) 18.2145 31.5484i 0.878379 1.52140i
\(431\) −17.4919 + 14.6774i −0.842555 + 0.706987i −0.958137 0.286311i \(-0.907571\pi\)
0.115582 + 0.993298i \(0.463127\pi\)
\(432\) −2.93012 + 4.29120i −0.140975 + 0.206460i
\(433\) −21.4763 7.81672i −1.03208 0.375648i −0.230210 0.973141i \(-0.573941\pi\)
−0.801874 + 0.597493i \(0.796163\pi\)
\(434\) 5.25567 29.8064i 0.252280 1.43075i
\(435\) 13.8056 + 34.3576i 0.661928 + 1.64732i
\(436\) −7.61123 + 13.1830i −0.364512 + 0.631353i
\(437\) 18.6745 10.0394i 0.893320 0.480248i
\(438\) 12.4831 + 6.66781i 0.596467 + 0.318600i
\(439\) 12.0709 4.39346i 0.576114 0.209688i −0.0374969 0.999297i \(-0.511938\pi\)
0.613611 + 0.789608i \(0.289716\pi\)
\(440\) 10.8538 + 9.10740i 0.517433 + 0.434178i
\(441\) −0.871378 3.55227i −0.0414942 0.169156i
\(442\) −15.2215 + 5.54016i −0.724011 + 0.263518i
\(443\) 13.3346 + 4.85339i 0.633544 + 0.230591i 0.638773 0.769395i \(-0.279442\pi\)
−0.00522882 + 0.999986i \(0.501664\pi\)
\(444\) 11.2588 7.00560i 0.534318 0.332471i
\(445\) 3.87369 + 6.70943i 0.183631 + 0.318057i
\(446\) −0.127992 0.0465852i −0.00606059 0.00220587i
\(447\) 5.02134 1.05737i 0.237501 0.0500118i
\(448\) −2.86691 −0.135449
\(449\) −4.59625 7.96094i −0.216910 0.375700i 0.736951 0.675946i \(-0.236265\pi\)
−0.953862 + 0.300246i \(0.902931\pi\)
\(450\) 18.0038 + 5.23652i 0.848709 + 0.246852i
\(451\) −15.2572 + 5.55317i −0.718433 + 0.261488i
\(452\) 1.02444 + 5.80987i 0.0481855 + 0.273273i
\(453\) −4.99815 12.4387i −0.234834 0.584423i
\(454\) 15.5426 + 13.0418i 0.729448 + 0.612080i
\(455\) −23.1414 + 40.0820i −1.08488 + 1.87908i
\(456\) −5.77047 + 4.86844i −0.270227 + 0.227986i
\(457\) −16.8603 29.2029i −0.788691 1.36605i −0.926769 0.375631i \(-0.877426\pi\)
0.138078 0.990421i \(-0.455907\pi\)
\(458\) −0.875443 + 4.96489i −0.0409068 + 0.231994i
\(459\) −9.86113 + 14.4418i −0.460278 + 0.674084i
\(460\) −15.3307 5.57991i −0.714796 0.260165i
\(461\) 8.54018 + 7.16606i 0.397756 + 0.333757i 0.819625 0.572900i \(-0.194182\pi\)
−0.421870 + 0.906656i \(0.638626\pi\)
\(462\) −6.51983 + 19.9372i −0.303330 + 0.927562i
\(463\) −25.6860 −1.19373 −0.596864 0.802343i \(-0.703587\pi\)
−0.596864 + 0.802343i \(0.703587\pi\)
\(464\) 3.18683 + 5.51974i 0.147945 + 0.256248i
\(465\) −19.0629 + 58.2931i −0.884021 + 2.70328i
\(466\) 1.77477 1.48921i 0.0822148 0.0689864i
\(467\) 15.9599 27.6433i 0.738534 1.27918i −0.214621 0.976697i \(-0.568852\pi\)
0.953155 0.302481i \(-0.0978150\pi\)
\(468\) 8.02896 + 12.0014i 0.371139 + 0.554764i
\(469\) 18.4200 15.4562i 0.850558 0.713703i
\(470\) −6.21336 5.21363i −0.286601 0.240487i
\(471\) −3.71427 + 11.3580i −0.171144 + 0.523348i
\(472\) 3.99129 1.45271i 0.183714 0.0668664i
\(473\) −35.1460 29.4910i −1.61601 1.35600i
\(474\) 0.476490 + 14.4296i 0.0218859 + 0.662774i
\(475\) 23.1692 + 14.3306i 1.06308 + 0.657534i
\(476\) −9.64842 −0.442234
\(477\) −1.01439 0.742897i −0.0464459 0.0340149i
\(478\) 7.12967 + 5.98250i 0.326103 + 0.273633i
\(479\) −4.78413 27.1321i −0.218592 1.23970i −0.874563 0.484912i \(-0.838852\pi\)
0.655971 0.754786i \(-0.272260\pi\)
\(480\) 5.75139 + 0.819433i 0.262514 + 0.0374018i
\(481\) −6.39875 36.2891i −0.291758 1.65464i
\(482\) −24.5926 −1.12016
\(483\) −0.797145 24.1401i −0.0362713 1.09841i
\(484\) 5.24312 4.39950i 0.238324 0.199977i
\(485\) −2.30603 13.0781i −0.104711 0.593848i
\(486\) 14.5971 + 5.47026i 0.662139 + 0.248136i
\(487\) −11.8195 20.4719i −0.535591 0.927672i −0.999134 0.0415971i \(-0.986755\pi\)
0.463543 0.886074i \(-0.346578\pi\)
\(488\) 11.8021 + 4.29562i 0.534256 + 0.194453i
\(489\) −14.8180 + 18.8922i −0.670093 + 0.854334i
\(490\) −3.13258 + 2.62855i −0.141516 + 0.118746i
\(491\) −5.94175 + 2.16262i −0.268148 + 0.0975977i −0.472595 0.881280i \(-0.656683\pi\)
0.204447 + 0.978878i \(0.434460\pi\)
\(492\) −4.10859 + 5.23824i −0.185230 + 0.236158i
\(493\) 10.7251 + 18.5763i 0.483032 + 0.836637i
\(494\) 6.57450 + 19.9233i 0.295801 + 0.896391i
\(495\) 18.7781 38.1330i 0.844014 1.71395i
\(496\) −1.83321 + 10.3967i −0.0823137 + 0.466824i
\(497\) −0.195011 + 1.10597i −0.00874746 + 0.0496093i
\(498\) 2.82235 8.63055i 0.126472 0.386744i
\(499\) 0.0400636 0.227212i 0.00179349 0.0101714i −0.983898 0.178732i \(-0.942801\pi\)
0.985691 + 0.168560i \(0.0539117\pi\)
\(500\) −0.728023 4.12883i −0.0325582 0.184647i
\(501\) 18.0025 11.2018i 0.804291 0.500458i
\(502\) −6.45861 −0.288262
\(503\) 7.23002 + 41.0035i 0.322371 + 1.82826i 0.527542 + 0.849529i \(0.323114\pi\)
−0.205171 + 0.978726i \(0.565775\pi\)
\(504\) 2.04903 + 8.35310i 0.0912711 + 0.372076i
\(505\) 0.747705 1.29506i 0.0332724 0.0576296i
\(506\) −10.2736 + 17.7943i −0.456715 + 0.791054i
\(507\) 17.2308 3.62837i 0.765246 0.161142i
\(508\) 0.0142185 0.0806373i 0.000630845 0.00357770i
\(509\) −2.98199 + 2.50219i −0.132174 + 0.110907i −0.706478 0.707735i \(-0.749717\pi\)
0.574304 + 0.818642i \(0.305273\pi\)
\(510\) 19.3559 + 2.75775i 0.857095 + 0.122115i
\(511\) 22.0124 8.01186i 0.973772 0.354424i
\(512\) 1.00000 0.0441942
\(513\) 18.3090 + 13.3334i 0.808364 + 0.588683i
\(514\) −14.3062 −0.631019
\(515\) −22.7877 + 8.29403i −1.00414 + 0.365479i
\(516\) −18.6238 2.65343i −0.819865 0.116811i
\(517\) −7.82532 + 6.56622i −0.344157 + 0.288782i
\(518\) 3.81137 21.6153i 0.167462 0.949724i
\(519\) −32.5445 + 6.85305i −1.42854 + 0.300815i
\(520\) 8.07188 13.9809i 0.353975 0.613103i
\(521\) −9.07936 + 15.7259i −0.397774 + 0.688965i −0.993451 0.114259i \(-0.963551\pi\)
0.595677 + 0.803224i \(0.296884\pi\)
\(522\) 13.8048 13.2303i 0.604218 0.579072i
\(523\) 0.0448143 + 0.254155i 0.00195959 + 0.0111134i 0.985772 0.168089i \(-0.0537595\pi\)
−0.983812 + 0.179202i \(0.942648\pi\)
\(524\) −10.7558 −0.469870
\(525\) 26.3504 16.3961i 1.15003 0.715586i
\(526\) −4.11500 23.3373i −0.179422 1.01755i
\(527\) −6.16957 + 34.9894i −0.268751 + 1.52416i
\(528\) 2.27416 6.95424i 0.0989702 0.302644i
\(529\) 0.114463 0.649150i 0.00497664 0.0282239i
\(530\) −0.244104 + 1.38439i −0.0106032 + 0.0601339i
\(531\) −7.08528 10.5908i −0.307475 0.459602i
\(532\) −0.378919 + 12.4908i −0.0164282 + 0.541547i
\(533\) 9.24989 + 16.0213i 0.400657 + 0.693959i
\(534\) 2.46907 3.14794i 0.106847 0.136225i
\(535\) −29.5114 + 10.7413i −1.27589 + 0.464386i
\(536\) −6.42504 + 5.39125i −0.277519 + 0.232866i
\(537\) −8.53523 + 10.8820i −0.368322 + 0.469592i
\(538\) 7.28845 + 2.65278i 0.314227 + 0.114369i
\(539\) 2.57510 + 4.46020i 0.110917 + 0.192114i
\(540\) −1.72310 17.3430i −0.0741503 0.746324i
\(541\) 4.75043 + 26.9410i 0.204237 + 1.15828i 0.898636 + 0.438695i \(0.144559\pi\)
−0.694399 + 0.719590i \(0.744330\pi\)
\(542\) 6.74296 5.65802i 0.289635 0.243033i
\(543\) 0.864091 + 26.1674i 0.0370817 + 1.12295i
\(544\) 3.36544 0.144292
\(545\) −8.86606 50.2819i −0.379780 2.15384i
\(546\) 23.6614 + 3.37118i 1.01261 + 0.144273i
\(547\) 2.77408 + 15.7326i 0.118611 + 0.672677i 0.984899 + 0.173131i \(0.0553885\pi\)
−0.866288 + 0.499545i \(0.833500\pi\)
\(548\) 4.12285 + 3.45948i 0.176120 + 0.147782i
\(549\) 4.08062 37.4570i 0.174157 1.59863i
\(550\) −26.4015 −1.12576
\(551\) 24.4701 13.1551i 1.04246 0.560427i
\(552\) 0.278050 + 8.42022i 0.0118346 + 0.358389i
\(553\) 18.3062 + 15.3608i 0.778460 + 0.653206i
\(554\) −0.910043 + 0.331229i −0.0386640 + 0.0140726i
\(555\) −13.8243 + 42.2737i −0.586807 + 1.79442i
\(556\) 13.6053 + 11.4162i 0.576994 + 0.484156i
\(557\) 20.8766 17.5176i 0.884570 0.742243i −0.0825433 0.996587i \(-0.526304\pi\)
0.967114 + 0.254345i \(0.0818598\pi\)
\(558\) 31.6022 2.08939i 1.33783 0.0884510i
\(559\) −26.1378 + 45.2721i −1.10551 + 1.91480i
\(560\) 7.36621 6.18099i 0.311279 0.261194i
\(561\) 7.65355 23.4040i 0.323133 0.988120i
\(562\) 13.2877 + 23.0149i 0.560507 + 0.970827i
\(563\) −15.0416 −0.633926 −0.316963 0.948438i \(-0.602663\pi\)
−0.316963 + 0.948438i \(0.602663\pi\)
\(564\) −1.30187 + 3.98103i −0.0548186 + 0.167632i
\(565\) −15.1581 12.7192i −0.637706 0.535099i
\(566\) 2.91138 + 1.05966i 0.122374 + 0.0445407i
\(567\) 22.8733 11.9402i 0.960587 0.501441i
\(568\) 0.0680214 0.385769i 0.00285411 0.0161865i
\(569\) 17.0082 + 29.4590i 0.713020 + 1.23499i 0.963718 + 0.266922i \(0.0860065\pi\)
−0.250698 + 0.968065i \(0.580660\pi\)
\(570\) 4.33034 24.9499i 0.181378 1.04504i
\(571\) −14.6241 + 25.3298i −0.612002 + 1.06002i 0.378901 + 0.925437i \(0.376302\pi\)
−0.990903 + 0.134581i \(0.957031\pi\)
\(572\) −15.5752 13.0692i −0.651233 0.546449i
\(573\) −11.8076 29.3851i −0.493268 1.22758i
\(574\) 1.91347 + 10.8519i 0.0798669 + 0.452948i
\(575\) 28.5669 10.3975i 1.19132 0.433606i
\(576\) −0.714717 2.91362i −0.0297799 0.121401i
\(577\) −12.1402 21.0274i −0.505402 0.875382i −0.999980 0.00624895i \(-0.998011\pi\)
0.494578 0.869133i \(-0.335322\pi\)
\(578\) −5.67383 −0.236000
\(579\) −16.0685 + 3.38361i −0.667782 + 0.140618i
\(580\) −20.0886 7.31165i −0.834134 0.303600i
\(581\) −7.51493 13.0162i −0.311772 0.540004i
\(582\) −5.82256 + 3.62300i −0.241353 + 0.150178i
\(583\) 1.66367 + 0.605526i 0.0689021 + 0.0250783i
\(584\) −7.67809 + 2.79459i −0.317721 + 0.115641i
\(585\) −46.5042 13.5260i −1.92271 0.559231i
\(586\) −7.13654 5.98827i −0.294808 0.247373i
\(587\) 10.9740 3.99422i 0.452946 0.164859i −0.105465 0.994423i \(-0.533633\pi\)
0.558412 + 0.829564i \(0.311411\pi\)
\(588\) 1.86264 + 0.994921i 0.0768140 + 0.0410298i
\(589\) 45.0549 + 9.36125i 1.85646 + 0.385723i
\(590\) −7.12316 + 12.3377i −0.293256 + 0.507934i
\(591\) 0.634895 + 1.58004i 0.0261161 + 0.0649942i
\(592\) −1.32943 + 7.53959i −0.0546393 + 0.309875i
\(593\) 35.2980 + 12.8474i 1.44952 + 0.527581i 0.942456 0.334330i \(-0.108510\pi\)
0.507060 + 0.861911i \(0.330732\pi\)
\(594\) −21.8874 1.65573i −0.898050 0.0679355i
\(595\) 24.7905 20.8017i 1.01631 0.852787i
\(596\) −1.48132 + 2.56573i −0.0606774 + 0.105096i
\(597\) −0.557168 16.8728i −0.0228034 0.690558i
\(598\) 21.9996 + 8.00719i 0.899630 + 0.327439i
\(599\) 7.47459 + 2.72053i 0.305403 + 0.111158i 0.490176 0.871624i \(-0.336933\pi\)
−0.184772 + 0.982781i \(0.559155\pi\)
\(600\) −9.19121 + 5.71909i −0.375230 + 0.233481i
\(601\) 18.7603 32.4938i 0.765250 1.32545i −0.174864 0.984593i \(-0.555949\pi\)
0.940114 0.340859i \(-0.110718\pi\)
\(602\) −23.8528 + 20.0149i −0.972167 + 0.815745i
\(603\) 20.3001 + 14.8669i 0.826685 + 0.605427i
\(604\) 7.27284 + 2.64710i 0.295928 + 0.107709i
\(605\) −3.98641 + 22.6081i −0.162071 + 0.919148i
\(606\) −0.764507 0.108924i −0.0310560 0.00442472i
\(607\) 17.2781 29.9266i 0.701298 1.21468i −0.266713 0.963776i \(-0.585938\pi\)
0.968011 0.250908i \(-0.0807291\pi\)
\(608\) 0.132170 4.35689i 0.00536019 0.176695i
\(609\) −1.04454 31.6320i −0.0423270 1.28179i
\(610\) −39.5854 + 14.4079i −1.60277 + 0.583359i
\(611\) 8.91621 + 7.48158i 0.360711 + 0.302673i
\(612\) −2.40534 9.80560i −0.0972299 0.396368i
\(613\) −20.1533 + 7.33519i −0.813983 + 0.296265i −0.715268 0.698850i \(-0.753695\pi\)
−0.0987148 + 0.995116i \(0.531473\pi\)
\(614\) −10.4524 3.80436i −0.421825 0.153532i
\(615\) −0.736947 22.3171i −0.0297166 0.899912i
\(616\) −6.05530 10.4881i −0.243975 0.422577i
\(617\) −22.1224 8.05190i −0.890614 0.324157i −0.144129 0.989559i \(-0.546038\pi\)
−0.746485 + 0.665402i \(0.768260\pi\)
\(618\) 8.36167 + 9.32208i 0.336356 + 0.374989i
\(619\) −2.63057 −0.105731 −0.0528657 0.998602i \(-0.516836\pi\)
−0.0528657 + 0.998602i \(0.516836\pi\)
\(620\) −17.7047 30.6654i −0.711038 1.23155i
\(621\) 24.3346 6.82821i 0.976514 0.274007i
\(622\) 26.6743 9.70863i 1.06954 0.389281i
\(623\) −1.14991 6.52147i −0.0460702 0.261277i
\(624\) −8.25327 1.17589i −0.330395 0.0470733i
\(625\) −13.1666 11.0481i −0.526663 0.441922i
\(626\) 2.55004 4.41680i 0.101920 0.176531i
\(627\) −29.9983 10.8274i −1.19802 0.432406i
\(628\) −3.44963 5.97494i −0.137655 0.238426i
\(629\) −4.47412 + 25.3740i −0.178395 + 1.01173i
\(630\) −23.2738 17.0447i −0.927250 0.679077i
\(631\) −41.6655 15.1650i −1.65868 0.603710i −0.668524 0.743690i \(-0.733074\pi\)
−0.990154 + 0.139981i \(0.955296\pi\)
\(632\) −6.38535 5.35794i −0.253995 0.213128i
\(633\) −9.81846 10.9462i −0.390249 0.435072i
\(634\) −17.2152 −0.683701
\(635\) 0.137319 + 0.237843i 0.00544933 + 0.00943852i
\(636\) 0.710345 0.149581i 0.0281670 0.00593126i
\(637\) 4.49527 3.77198i 0.178109 0.149451i
\(638\) −13.4620 + 23.3169i −0.532965 + 0.923123i
\(639\) −1.17260 + 0.0775269i −0.0463873 + 0.00306691i
\(640\) −2.56939 + 2.15597i −0.101564 + 0.0852223i
\(641\) 32.4001 + 27.1869i 1.27973 + 1.07382i 0.993282 + 0.115723i \(0.0369184\pi\)
0.286446 + 0.958096i \(0.407526\pi\)
\(642\) 10.8289 + 12.0727i 0.427381 + 0.476470i
\(643\) −27.4528 + 9.99200i −1.08263 + 0.394046i −0.820887 0.571091i \(-0.806520\pi\)
−0.261746 + 0.965137i \(0.584298\pi\)
\(644\) 10.6824 + 8.96359i 0.420945 + 0.353215i
\(645\) 53.5724 33.3346i 2.10941 1.31255i
\(646\) 0.444809 14.6629i 0.0175008 0.576902i
\(647\) −43.5379 −1.71165 −0.855825 0.517265i \(-0.826950\pi\)
−0.855825 + 0.517265i \(0.826950\pi\)
\(648\) −7.97836 + 4.16483i −0.313420 + 0.163610i
\(649\) 13.7446 + 11.5331i 0.539523 + 0.452713i
\(650\) 5.22369 + 29.6250i 0.204890 + 1.16199i
\(651\) 32.3529 41.2482i 1.26801 1.61665i
\(652\) −2.40716 13.6517i −0.0942716 0.534641i
\(653\) 29.9822 1.17329 0.586647 0.809843i \(-0.300448\pi\)
0.586647 + 0.809843i \(0.300448\pi\)
\(654\) −22.3862 + 13.9294i −0.875368 + 0.544684i
\(655\) 27.6359 23.1892i 1.07982 0.906078i
\(656\) −0.667434 3.78520i −0.0260589 0.147787i
\(657\) 13.6300 + 20.3737i 0.531759 + 0.794853i
\(658\) 3.46642 + 6.00402i 0.135135 + 0.234061i
\(659\) −32.6438 11.8814i −1.27162 0.462833i −0.383969 0.923346i \(-0.625443\pi\)
−0.887653 + 0.460513i \(0.847665\pi\)
\(660\) 9.14994 + 22.7712i 0.356161 + 0.886366i
\(661\) 0.106754 0.0895776i 0.00415227 0.00348417i −0.640709 0.767784i \(-0.721360\pi\)
0.644861 + 0.764300i \(0.276915\pi\)
\(662\) −5.92879 + 2.15790i −0.230429 + 0.0838693i
\(663\) −27.7758 3.95738i −1.07872 0.153692i
\(664\) 2.62126 + 4.54016i 0.101725 + 0.176192i
\(665\) −25.9563 32.9108i −1.00654 1.27622i
\(666\) 22.9177 1.51521i 0.888041 0.0587132i
\(667\) 5.38342 30.5309i 0.208447 1.18216i
\(668\) −2.12573 + 12.0556i −0.0822468 + 0.466445i
\(669\) −0.157526 0.175619i −0.00609029 0.00678981i
\(670\) 4.88504 27.7044i 0.188725 1.07031i
\(671\) 9.21288 + 52.2488i 0.355659 + 2.01704i
\(672\) −4.37997 2.33954i −0.168961 0.0902497i
\(673\) 18.9188 0.729267 0.364633 0.931151i \(-0.381194\pi\)
0.364633 + 0.931151i \(0.381194\pi\)
\(674\) −0.232685 1.31962i −0.00896268 0.0508299i
\(675\) 23.2324 + 22.6922i 0.894214 + 0.873422i
\(676\) −5.08318 + 8.80433i −0.195507 + 0.338628i
\(677\) −13.7274 + 23.7765i −0.527587 + 0.913807i 0.471896 + 0.881654i \(0.343570\pi\)
−0.999483 + 0.0321527i \(0.989764\pi\)
\(678\) −3.17604 + 9.71211i −0.121975 + 0.372991i
\(679\) −1.97108 + 11.1785i −0.0756431 + 0.428993i
\(680\) −8.64711 + 7.25579i −0.331602 + 0.278247i
\(681\) 13.1027 + 32.6082i 0.502096 + 1.24955i
\(682\) −41.9064 + 15.2527i −1.60468 + 0.584055i
\(683\) 46.6042 1.78326 0.891630 0.452765i \(-0.149562\pi\)
0.891630 + 0.452765i \(0.149562\pi\)
\(684\) −12.7888 + 2.72885i −0.488992 + 0.104340i
\(685\) −18.0518 −0.689722
\(686\) −15.5736 + 5.66832i −0.594603 + 0.216418i
\(687\) −5.38906 + 6.87077i −0.205605 + 0.262136i
\(688\) 8.32002 6.98133i 0.317198 0.266161i
\(689\) 0.350291 1.98660i 0.0133450 0.0756834i
\(690\) −18.8682 21.0354i −0.718300 0.800802i
\(691\) 2.66638 4.61831i 0.101434 0.175689i −0.810842 0.585266i \(-0.800990\pi\)
0.912276 + 0.409577i \(0.134324\pi\)
\(692\) 9.60081 16.6291i 0.364968 0.632143i
\(693\) −26.2305 + 25.1389i −0.996413 + 0.954946i
\(694\) −2.17881 12.3566i −0.0827064 0.469051i
\(695\) −59.5704 −2.25963
\(696\) 0.364344 + 11.0335i 0.0138104 + 0.418223i
\(697\) −2.24621 12.7389i −0.0850811 0.482519i
\(698\) 2.48406 14.0878i 0.0940229 0.533230i
\(699\) 3.92671 0.826865i 0.148522 0.0312749i
\(700\) −3.11145 + 17.6459i −0.117602 + 0.666953i
\(701\) −3.05797 + 17.3426i −0.115498 + 0.655021i 0.871005 + 0.491275i \(0.163469\pi\)
−0.986503 + 0.163746i \(0.947642\pi\)
\(702\) 2.47265 + 24.8873i 0.0933243 + 0.939311i
\(703\) 32.6735 + 6.78870i 1.23230 + 0.256041i
\(704\) 2.11213 + 3.65832i 0.0796040 + 0.137878i
\(705\) −5.23798 13.0356i −0.197274 0.490949i
\(706\) 23.7085 8.62917i 0.892279 0.324763i
\(707\) −0.979159 + 0.821612i −0.0368251 + 0.0308999i
\(708\) 7.28323 + 1.03768i 0.273720 + 0.0389985i
\(709\) 10.4124 + 3.78979i 0.391045 + 0.142329i 0.530057 0.847962i \(-0.322171\pi\)
−0.139012 + 0.990291i \(0.544393\pi\)
\(710\) 0.656933 + 1.13784i 0.0246543 + 0.0427024i
\(711\) −11.0473 + 22.4339i −0.414306 + 0.841336i
\(712\) 0.401097 + 2.27473i 0.0150317 + 0.0852493i
\(713\) 39.3366 33.0073i 1.47317 1.23613i
\(714\) −14.7405 7.87357i −0.551650 0.294661i
\(715\) 68.1955 2.55037
\(716\) −1.38653 7.86342i −0.0518172 0.293870i
\(717\) 6.01045 + 14.9580i 0.224464 + 0.558617i
\(718\) 0.556396 + 3.15548i 0.0207645 + 0.117762i
\(719\) 27.6570 + 23.2070i 1.03143 + 0.865473i 0.991021 0.133710i \(-0.0426890\pi\)
0.0404104 + 0.999183i \(0.487133\pi\)
\(720\) 8.11807 + 5.94531i 0.302543 + 0.221569i
\(721\) 20.7278 0.771943
\(722\) −18.9651 1.15170i −0.705807 0.0428618i
\(723\) −37.5717 20.0687i −1.39731 0.746364i
\(724\) −11.5795 9.71638i −0.430350 0.361106i
\(725\) 37.4328 13.6244i 1.39022 0.505998i
\(726\) 11.6005 2.44277i 0.430534 0.0906595i
\(727\) 38.3694 + 32.1958i 1.42304 + 1.19407i 0.949686 + 0.313204i \(0.101402\pi\)
0.473357 + 0.880871i \(0.343042\pi\)
\(728\) −10.5705 + 8.86974i −0.391771 + 0.328735i
\(729\) 17.8370 + 20.2692i 0.660629 + 0.750712i
\(730\) 13.7029 23.7341i 0.507168 0.878440i
\(731\) 28.0005 23.4952i 1.03564 0.869002i
\(732\) 14.5254 + 16.1938i 0.536875 + 0.598539i
\(733\) −14.5319 25.1699i −0.536747 0.929673i −0.999077 0.0429647i \(-0.986320\pi\)
0.462330 0.886708i \(-0.347014\pi\)
\(734\) 5.83698 0.215447
\(735\) −6.93087 + 1.45947i −0.255649 + 0.0538332i
\(736\) −3.72609 3.12656i −0.137346 0.115247i
\(737\) −33.2934 12.1178i −1.22638 0.446366i
\(738\) −10.5516 + 4.65000i −0.388410 + 0.171169i
\(739\) −2.86018 + 16.2209i −0.105213 + 0.596695i 0.885921 + 0.463835i \(0.153527\pi\)
−0.991135 + 0.132860i \(0.957584\pi\)
\(740\) −12.8393 22.2383i −0.471983 0.817498i
\(741\) −6.21406 + 35.8032i −0.228279 + 1.31526i
\(742\) 0.600779 1.04058i 0.0220553 0.0382009i
\(743\) −36.2338 30.4038i −1.32929 1.11541i −0.984243 0.176820i \(-0.943419\pi\)
−0.345046 0.938586i \(-0.612137\pi\)
\(744\) −11.2849 + 14.3877i −0.413725 + 0.527478i
\(745\) −1.72554 9.78605i −0.0632191 0.358533i
\(746\) 26.7504 9.73634i 0.979401 0.356473i
\(747\) 11.3548 10.8823i 0.415451 0.398162i
\(748\) 7.10825 + 12.3118i 0.259903 + 0.450166i
\(749\) 26.8437 0.980849
\(750\) 2.25707 6.90198i 0.0824166 0.252025i
\(751\) 5.01125 + 1.82395i 0.182863 + 0.0665567i 0.431829 0.901956i \(-0.357868\pi\)
−0.248966 + 0.968512i \(0.580091\pi\)
\(752\) −1.20911 2.09425i −0.0440918 0.0763693i
\(753\) −9.86724 5.27054i −0.359582 0.192069i
\(754\) 28.8272 + 10.4923i 1.04983 + 0.382105i
\(755\) −24.3938 + 8.87862i −0.887782 + 0.323126i
\(756\) −3.68609 + 14.4337i −0.134062 + 0.524948i
\(757\) −25.8273 21.6716i −0.938708 0.787669i 0.0386522 0.999253i \(-0.487694\pi\)
−0.977360 + 0.211583i \(0.932138\pi\)
\(758\) 12.4136 4.51817i 0.450881 0.164107i
\(759\) −30.2166 + 18.8018i −1.09679 + 0.682463i
\(760\) 9.05375 + 11.4795i 0.328414 + 0.416405i
\(761\) −15.0316 + 26.0355i −0.544894 + 0.943785i 0.453719 + 0.891145i \(0.350097\pi\)
−0.998614 + 0.0526401i \(0.983236\pi\)
\(762\) 0.0875265 0.111592i 0.00317075 0.00404255i
\(763\) −7.57826 + 42.9784i −0.274351 + 1.55592i
\(764\) 17.1812 + 6.25346i 0.621595 + 0.226242i
\(765\) 27.3208 + 20.0086i 0.987787 + 0.723411i
\(766\) −4.46247 + 3.74446i −0.161236 + 0.135293i
\(767\) 10.2218 17.7046i 0.369087 0.639277i
\(768\) 1.52776 + 0.816048i 0.0551285 + 0.0294466i
\(769\) −45.1064 16.4174i −1.62658 0.592027i −0.641960 0.766738i \(-0.721878\pi\)
−0.984620 + 0.174712i \(0.944101\pi\)
\(770\) 38.1704 + 13.8929i 1.37557 + 0.500666i
\(771\) −21.8565 11.6745i −0.787143 0.420448i
\(772\) 4.74029 8.21042i 0.170607 0.295500i
\(773\) 9.11125 7.64525i 0.327709 0.274980i −0.464057 0.885806i \(-0.653607\pi\)
0.791766 + 0.610825i \(0.209162\pi\)
\(774\) −26.2874 19.2517i −0.944881 0.691988i
\(775\) 62.0021 + 22.5669i 2.22718 + 0.810628i
\(776\) 0.687526 3.89916i 0.0246808 0.139972i
\(777\) 23.4620 29.9129i 0.841696 1.07312i
\(778\) 5.70599 9.88306i 0.204570 0.354325i
\(779\) −16.5799 + 2.40765i −0.594038 + 0.0862629i
\(780\) 23.7410 14.7725i 0.850065 0.528940i
\(781\) 1.55494 0.565950i 0.0556400 0.0202513i
\(782\) −12.5399 10.5223i −0.448427 0.376275i
\(783\) 31.8869 8.94737i 1.13955 0.319753i
\(784\) −1.14567 + 0.416989i −0.0409167 + 0.0148925i
\(785\) 21.7453 + 7.91462i 0.776121 + 0.282485i
\(786\) −16.4324 8.77726i −0.586123 0.313075i
\(787\) −6.30924 10.9279i −0.224900 0.389538i 0.731389 0.681960i \(-0.238872\pi\)
−0.956289 + 0.292422i \(0.905539\pi\)
\(788\) −0.923838 0.336250i −0.0329104 0.0119784i
\(789\) 12.7576 39.0119i 0.454183 1.38886i
\(790\) 27.9580 0.994701
\(791\) 8.45668 + 14.6474i 0.300685 + 0.520801i
\(792\) 9.14938 8.76861i 0.325109 0.311579i
\(793\) 56.8053 20.6754i 2.01721 0.734206i
\(794\) −4.36152 24.7354i −0.154784 0.877826i
\(795\) −1.50266 + 1.91581i −0.0532938 + 0.0679469i
\(796\) 7.46650 + 6.26514i 0.264643 + 0.222062i
\(797\) −18.8589 + 32.6646i −0.668016 + 1.15704i 0.310442 + 0.950592i \(0.399523\pi\)
−0.978458 + 0.206445i \(0.933810\pi\)
\(798\) −10.7720 + 18.7739i −0.381326 + 0.664587i
\(799\) −4.06920 7.04805i −0.143958 0.249342i
\(800\) 1.08530 6.15502i 0.0383710 0.217613i
\(801\) 6.34104 2.79444i 0.224050 0.0987365i
\(802\) −26.0449 9.47957i −0.919678 0.334735i
\(803\) −26.4407 22.1863i −0.933071 0.782939i
\(804\) −14.2155 + 2.99342i −0.501341 + 0.105570i
\(805\) −46.7724 −1.64851
\(806\) 25.4063 + 44.0051i 0.894900 + 1.55001i
\(807\) 8.97024 + 10.0005i 0.315768 + 0.352036i
\(808\) 0.341538 0.286584i 0.0120153 0.0100820i
\(809\) 5.28592 9.15549i 0.185843 0.321890i −0.758017 0.652235i \(-0.773832\pi\)
0.943860 + 0.330345i \(0.107165\pi\)
\(810\) 11.5202 27.9022i 0.404780 0.980383i
\(811\) −23.2506 + 19.5095i −0.816437 + 0.685072i −0.952135 0.305678i \(-0.901117\pi\)
0.135697 + 0.990750i \(0.456672\pi\)
\(812\) 13.9977 + 11.7455i 0.491223 + 0.412185i
\(813\) 14.9189 3.14154i 0.523228 0.110179i
\(814\) −30.3902 + 11.0611i −1.06517 + 0.387692i
\(815\) 35.6176 + 29.8867i 1.24763 + 1.04688i
\(816\) 5.14160 + 2.74636i 0.179992 + 0.0961418i
\(817\) −29.3173 37.1722i −1.02568 1.30049i
\(818\) 30.2541 1.05781
\(819\) 33.3980 + 24.4592i 1.16702 + 0.854674i
\(820\) 9.87569 + 8.28669i 0.344874 + 0.289384i
\(821\) −7.82491 44.3773i −0.273091 1.54878i −0.744960 0.667109i \(-0.767532\pi\)
0.471869 0.881669i \(-0.343580\pi\)
\(822\) 3.47564 + 8.64973i 0.121227 + 0.301694i
\(823\) −1.24265 7.04744i −0.0433162 0.245658i 0.955460 0.295121i \(-0.0953601\pi\)
−0.998776 + 0.0494631i \(0.984249\pi\)
\(824\) −7.23000 −0.251869
\(825\) −40.3353 21.5449i −1.40430 0.750098i
\(826\) 9.32815 7.82725i 0.324568 0.272345i
\(827\) 4.32748 + 24.5424i 0.150481 + 0.853422i 0.962801 + 0.270210i \(0.0870931\pi\)
−0.812320 + 0.583212i \(0.801796\pi\)
\(828\) −6.44651 + 13.0910i −0.224032 + 0.454945i
\(829\) −4.99759 8.65608i −0.173574 0.300638i 0.766093 0.642730i \(-0.222198\pi\)
−0.939667 + 0.342091i \(0.888865\pi\)
\(830\) −16.5235 6.01406i −0.573538 0.208751i
\(831\) −1.66063 0.236600i −0.0576066 0.00820755i
\(832\) 3.68708 3.09383i 0.127827 0.107259i
\(833\) −3.85567 + 1.40335i −0.133591 + 0.0486232i
\(834\) 11.4695 + 28.5439i 0.397158 + 0.988394i
\(835\) −20.5297 35.5585i −0.710460 1.23055i
\(836\) 16.2181 8.71882i 0.560914 0.301547i
\(837\) 49.9857 + 22.5968i 1.72776 + 0.781060i
\(838\) −3.32730 + 18.8701i −0.114940 + 0.651856i
\(839\) 6.38464 36.2091i 0.220422 1.25008i −0.650823 0.759229i \(-0.725576\pi\)
0.871246 0.490847i \(-0.163313\pi\)
\(840\) 16.2978 3.43191i 0.562328 0.118412i
\(841\) 2.01839 11.4468i 0.0695996 0.394719i
\(842\) 0.195808 + 1.11048i 0.00674798 + 0.0382697i
\(843\) 1.51916 + 46.0048i 0.0523225 + 1.58449i
\(844\) 8.48963 0.292225
\(845\) −5.92123 33.5810i −0.203696 1.15522i
\(846\) −5.23766 + 5.01969i −0.180075 + 0.172581i
\(847\) 9.81117 16.9934i 0.337116 0.583902i
\(848\) −0.209556 + 0.362961i −0.00719618 + 0.0124641i
\(849\) 3.58318 + 3.99473i 0.122974 + 0.137099i
\(850\) 3.65249 20.7143i 0.125280 0.710496i
\(851\) 28.5266 23.9366i 0.977879 0.820538i
\(852\) 0.418726 0.533855i 0.0143453 0.0182896i
\(853\) −21.1459 + 7.69648i −0.724022 + 0.263523i −0.677632 0.735401i \(-0.736994\pi\)
−0.0463900 + 0.998923i \(0.514772\pi\)
\(854\) 36.0071 1.23214
\(855\) 26.9760 34.5838i 0.922561 1.18274i
\(856\) −9.36329 −0.320031
\(857\) −36.2947 + 13.2102i −1.23980 + 0.451251i −0.876944 0.480593i \(-0.840422\pi\)
−0.362859 + 0.931844i \(0.618199\pi\)
\(858\) −13.1302 32.6767i −0.448258 1.11557i
\(859\) −24.2292 + 20.3307i −0.826690 + 0.693675i −0.954528 0.298120i \(-0.903640\pi\)
0.127839 + 0.991795i \(0.459196\pi\)
\(860\) −6.32581 + 35.8755i −0.215708 + 1.22334i
\(861\) −5.93229 + 18.1406i −0.202172 + 0.618229i
\(862\) 11.4170 19.7749i 0.388865 0.673534i
\(863\) 12.9113 22.3630i 0.439505 0.761244i −0.558147 0.829742i \(-0.688487\pi\)
0.997651 + 0.0684980i \(0.0218207\pi\)
\(864\) 1.28573 5.03457i 0.0437416 0.171280i
\(865\) 11.1837 + 63.4257i 0.380256 + 2.15654i
\(866\) 22.8546 0.776630
\(867\) −8.66828 4.63012i −0.294390 0.157247i
\(868\) 5.25567 + 29.8064i 0.178389 + 1.01169i
\(869\) 6.11437 34.6763i 0.207416 1.17631i
\(870\) −24.7240 27.5638i −0.838222 0.934499i
\(871\) −7.01005 + 39.7560i −0.237526 + 1.34708i
\(872\) 2.64335 14.9912i 0.0895152 0.507666i
\(873\) −11.8520 + 0.783603i −0.401131 + 0.0265209i
\(874\) −14.1146 + 15.8210i −0.477433 + 0.535152i
\(875\) −6.00980 10.4093i −0.203168 0.351898i
\(876\) −14.0108 1.99620i −0.473382 0.0674455i
\(877\) 27.2130 9.90473i 0.918919 0.334459i 0.161110 0.986936i \(-0.448492\pi\)
0.757808 + 0.652477i \(0.226270\pi\)
\(878\) −9.84032 + 8.25701i −0.332095 + 0.278660i
\(879\) −6.01624 14.9724i −0.202923 0.505008i
\(880\) −13.3141 4.84595i −0.448819 0.163357i
\(881\) 1.71677 + 2.97353i 0.0578395 + 0.100181i 0.893495 0.449072i \(-0.148246\pi\)
−0.835656 + 0.549253i \(0.814912\pi\)
\(882\) 2.03377 + 3.04001i 0.0684807 + 0.102362i
\(883\) 3.64358 + 20.6638i 0.122616 + 0.695391i 0.982695 + 0.185230i \(0.0593030\pi\)
−0.860079 + 0.510161i \(0.829586\pi\)
\(884\) 12.4086 10.4121i 0.417348 0.350197i
\(885\) −20.9507 + 13.0362i −0.704248 + 0.438208i
\(886\) −14.1904 −0.476734
\(887\) −0.772087 4.37872i −0.0259241 0.147023i 0.969098 0.246675i \(-0.0793381\pi\)
−0.995022 + 0.0996522i \(0.968227\pi\)
\(888\) −8.18373 + 10.4338i −0.274628 + 0.350137i
\(889\) −0.0407633 0.231180i −0.00136716 0.00775354i
\(890\) −5.93484 4.97992i −0.198936 0.166927i
\(891\) −32.0876 20.3907i −1.07498 0.683115i
\(892\) 0.136206 0.00456051
\(893\) −9.28422 + 4.99118i −0.310685 + 0.167024i
\(894\) −4.35688 + 2.71100i −0.145716 + 0.0906694i
\(895\) 20.5159 + 17.2149i 0.685770 + 0.575429i
\(896\) 2.69402 0.980542i 0.0900008 0.0327576i
\(897\) 27.0759 + 30.1858i 0.904039 + 1.00788i
\(898\) 7.04186 + 5.90882i 0.234990 + 0.197180i
\(899\) 51.5448 43.2513i 1.71912 1.44251i
\(900\) −18.7091 + 1.23696i −0.623635 + 0.0412319i
\(901\) −0.705247 + 1.22152i −0.0234952 + 0.0406949i
\(902\) 12.4378 10.4365i 0.414133 0.347499i
\(903\) −52.7745 + 11.1130i −1.75623 + 0.369817i
\(904\) −2.94975 5.10911i −0.0981072 0.169927i
\(905\) 50.7005 1.68534
\(906\) 8.95103 + 9.97913i 0.297378 + 0.331534i
\(907\) −22.2177 18.6429i −0.737727 0.619026i 0.194499 0.980903i \(-0.437692\pi\)
−0.932226 + 0.361876i \(0.882136\pi\)
\(908\) −19.0658 6.93937i −0.632720 0.230291i
\(909\) −1.07910 0.790285i −0.0357915 0.0262121i
\(910\) 8.03692 45.5796i 0.266421 1.51095i
\(911\) 6.04672 + 10.4732i 0.200337 + 0.346993i 0.948637 0.316367i \(-0.102463\pi\)
−0.748300 + 0.663360i \(0.769130\pi\)
\(912\) 3.75736 6.54845i 0.124419 0.216841i
\(913\) −11.0729 + 19.1788i −0.366459 + 0.634726i
\(914\) 25.8315 + 21.6752i 0.854429 + 0.716951i
\(915\) −72.2348 10.2917i −2.38801 0.340233i
\(916\) −0.875443 4.96489i −0.0289255 0.164044i
\(917\) −28.9763 + 10.5465i −0.956883 + 0.348277i
\(918\) 4.32706 16.9435i 0.142814 0.559220i
\(919\) 8.80911 + 15.2578i 0.290586 + 0.503309i 0.973948 0.226770i \(-0.0728166\pi\)
−0.683363 + 0.730079i \(0.739483\pi\)
\(920\) 16.3146 0.537875
\(921\) −12.8643 14.3418i −0.423892 0.472580i
\(922\) −10.4761 3.81298i −0.345011 0.125574i
\(923\) −0.942702 1.63281i −0.0310294 0.0537445i
\(924\) −0.692291 20.9648i −0.0227747 0.689690i
\(925\) 44.9635 + 16.3654i 1.47839 + 0.538090i
\(926\) 24.1369 8.78511i 0.793188 0.288697i
\(927\) 5.16741 + 21.0655i 0.169720 + 0.691881i
\(928\) −4.88250 4.09690i −0.160276 0.134487i
\(929\) −36.9905 + 13.4634i −1.21362 + 0.441721i −0.867957 0.496639i \(-0.834567\pi\)
−0.345660 + 0.938360i \(0.612345\pi\)
\(930\) −2.02414 61.2975i −0.0663743 2.01002i
\(931\) 1.66535 + 5.04666i 0.0545798 + 0.165398i
\(932\) −1.15840 + 2.00641i −0.0379447 + 0.0657222i
\(933\) 48.6747 + 6.93496i 1.59354 + 0.227041i
\(934\) −5.54280 + 31.4348i −0.181366 + 1.02858i
\(935\) −44.8078 16.3087i −1.46537 0.533352i
\(936\) −11.6495 8.53155i −0.380775 0.278862i
\(937\) −7.40544 + 6.21391i −0.241925 + 0.202999i −0.755686 0.654934i \(-0.772696\pi\)
0.513761 + 0.857934i \(0.328252\pi\)
\(938\) −12.0228 + 20.8241i −0.392559 + 0.679932i
\(939\) 7.50018 4.66687i 0.244759 0.152298i
\(940\) 7.62182 + 2.77412i 0.248596 + 0.0904817i
\(941\) 29.6613 + 10.7958i 0.966932 + 0.351934i 0.776746 0.629814i \(-0.216869\pi\)
0.190186 + 0.981748i \(0.439091\pi\)
\(942\) −0.394390 11.9434i −0.0128499 0.389136i
\(943\) −9.34776 + 16.1908i −0.304405 + 0.527245i
\(944\) −3.25373 + 2.73020i −0.105900 + 0.0888605i
\(945\) −21.6476 45.0328i −0.704197 1.46492i
\(946\) 43.1129 + 15.6918i 1.40172 + 0.510185i
\(947\) 3.38620 19.2041i 0.110037 0.624049i −0.879052 0.476726i \(-0.841823\pi\)
0.989088 0.147323i \(-0.0470656\pi\)
\(948\) −5.38297 13.3964i −0.174831 0.435096i
\(949\) −19.6637 + 34.0586i −0.638312 + 1.10559i
\(950\) −26.6733 5.54203i −0.865397 0.179807i
\(951\) −26.3007 14.0484i −0.852859 0.455551i
\(952\) 9.06655 3.29995i 0.293848 0.106952i
\(953\) −27.3488 22.9484i −0.885915 0.743371i 0.0814714 0.996676i \(-0.474038\pi\)
−0.967387 + 0.253305i \(0.918483\pi\)
\(954\) 1.20730 + 0.351151i 0.0390879 + 0.0113689i
\(955\) −57.6275 + 20.9747i −1.86478 + 0.678726i
\(956\) −8.74583 3.18322i −0.282860 0.102953i
\(957\) −39.5944 + 24.6370i −1.27991 + 0.796402i
\(958\) 13.7753 + 23.8596i 0.445061 + 0.770868i
\(959\) 14.4992 + 5.27728i 0.468204 + 0.170412i
\(960\) −5.68480 + 1.19707i −0.183476 + 0.0386354i
\(961\) 80.4515 2.59521
\(962\) 18.4245 + 31.9121i 0.594029 + 1.02889i
\(963\) 6.69210 + 27.2811i 0.215650 + 0.879120i
\(964\) 23.1095 8.41116i 0.744306 0.270905i
\(965\) 5.52180 + 31.3157i 0.177753 + 1.00809i
\(966\) 9.00546 + 22.4116i 0.289746 + 0.721081i
\(967\) 30.4639 + 25.5623i 0.979654 + 0.822027i 0.984037 0.177963i \(-0.0569508\pi\)
−0.00438340 + 0.999990i \(0.501395\pi\)
\(968\) −3.42221 + 5.92744i −0.109994 + 0.190515i
\(969\) 12.6452 22.0384i 0.406221 0.707976i
\(970\) 6.63995 + 11.5007i 0.213196 + 0.369266i
\(971\) −5.31301 + 30.1316i −0.170503 + 0.966969i 0.772705 + 0.634765i \(0.218903\pi\)
−0.943208 + 0.332204i \(0.892208\pi\)
\(972\) −15.5878 0.147848i −0.499978 0.00474224i
\(973\) 47.8471 + 17.4149i 1.53391 + 0.558296i
\(974\) 18.1085 + 15.1948i 0.580233 + 0.486873i
\(975\) −16.1949 + 49.5228i −0.518651 + 1.58600i
\(976\) −12.5595 −0.402021
\(977\) −2.01959 3.49804i −0.0646125 0.111912i 0.831910 0.554911i \(-0.187248\pi\)
−0.896522 + 0.442999i \(0.853914\pi\)
\(978\) 7.46285 22.8209i 0.238636 0.729732i
\(979\) −7.47454 + 6.27188i −0.238887 + 0.200450i
\(980\) 2.04465 3.54143i 0.0653138 0.113127i
\(981\) −45.5679 + 3.01274i −1.45487 + 0.0961893i
\(982\) 4.84376 4.06440i 0.154571 0.129700i
\(983\) −8.17951 6.86343i −0.260886 0.218909i 0.502957 0.864311i \(-0.332245\pi\)
−0.763843 + 0.645402i \(0.776690\pi\)
\(984\) 2.06923 6.32756i 0.0659645 0.201715i
\(985\) 3.09864 1.12781i 0.0987310 0.0359351i
\(986\) −16.4317 13.7879i −0.523293 0.439095i
\(987\) 0.396310 + 12.0015i 0.0126147 + 0.382012i
\(988\) −12.9922 16.4731i −0.413336 0.524081i
\(989\) −52.8287 −1.67986
\(990\) −4.60341 + 42.2558i −0.146306 + 1.34298i
\(991\) 35.5299 + 29.8131i 1.12864 + 0.947045i 0.999009 0.0445168i \(-0.0141748\pi\)
0.129636 + 0.991562i \(0.458619\pi\)
\(992\) −1.83321 10.3967i −0.0582046 0.330095i
\(993\) −10.8187 1.54141i −0.343323 0.0489151i
\(994\) −0.195011 1.10597i −0.00618539 0.0350791i
\(995\) −32.6918 −1.03640
\(996\) 0.299684 + 9.07536i 0.00949584 + 0.287564i
\(997\) −2.79215 + 2.34289i −0.0884283 + 0.0742002i −0.685930 0.727667i \(-0.740604\pi\)
0.597502 + 0.801867i \(0.296160\pi\)
\(998\) 0.0400636 + 0.227212i 0.00126819 + 0.00719226i
\(999\) 36.2493 + 16.3870i 1.14688 + 0.518463i
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 342.2.v.b.283.2 66
9.7 even 3 342.2.w.b.169.5 yes 66
19.9 even 9 342.2.w.b.85.5 yes 66
171.142 even 9 inner 342.2.v.b.313.2 yes 66
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
342.2.v.b.283.2 66 1.1 even 1 trivial
342.2.v.b.313.2 yes 66 171.142 even 9 inner
342.2.w.b.85.5 yes 66 19.9 even 9
342.2.w.b.169.5 yes 66 9.7 even 3