Properties

Label 322.2.o.a.103.2
Level $322$
Weight $2$
Character 322.103
Analytic conductor $2.571$
Analytic rank $0$
Dimension $160$
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] = [322,2,Mod(5,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([55, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.o (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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 103.2
Character \(\chi\) \(=\) 322.103
Dual form 322.2.o.a.297.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0475819 - 0.998867i) q^{2} +(-0.983644 - 2.45702i) q^{3} +(-0.995472 + 0.0950560i) q^{4} +(0.209243 - 0.862512i) q^{5} +(-2.40744 + 1.09944i) q^{6} +(-1.82669 - 1.91395i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-2.89821 + 2.76344i) q^{9} +O(q^{10})\) \(q+(-0.0475819 - 0.998867i) q^{2} +(-0.983644 - 2.45702i) q^{3} +(-0.995472 + 0.0950560i) q^{4} +(0.209243 - 0.862512i) q^{5} +(-2.40744 + 1.09944i) q^{6} +(-1.82669 - 1.91395i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-2.89821 + 2.76344i) q^{9} +(-0.871491 - 0.167966i) q^{10} +(4.30183 + 0.204921i) q^{11} +(1.21275 + 2.35240i) q^{12} +(-3.91701 - 3.39410i) q^{13} +(-1.82486 + 1.91569i) q^{14} +(-2.32503 + 0.334289i) q^{15} +(0.981929 - 0.189251i) q^{16} +(-3.76605 + 5.28868i) q^{17} +(2.89821 + 2.76344i) q^{18} +(0.262258 + 0.368290i) q^{19} +(-0.126309 + 0.878496i) q^{20} +(-2.90580 + 6.37087i) q^{21} -4.30671i q^{22} +(4.74620 - 0.688153i) q^{23} +(2.29203 - 1.32330i) q^{24} +(3.74403 + 1.93018i) q^{25} +(-3.20388 + 4.07407i) q^{26} +(2.41833 + 1.10442i) q^{27} +(2.00035 + 1.73164i) q^{28} +(-2.75799 - 6.03917i) q^{29} +(0.444540 + 2.30649i) q^{30} +(4.05523 + 5.15665i) q^{31} +(-0.235759 - 0.971812i) q^{32} +(-3.72797 - 10.7713i) q^{33} +(5.46189 + 3.51014i) q^{34} +(-2.03302 + 1.17506i) q^{35} +(2.62241 - 3.02642i) q^{36} +(-2.74566 - 2.87957i) q^{37} +(0.355394 - 0.279485i) q^{38} +(-4.48646 + 12.9628i) q^{39} +(0.883511 + 0.0843651i) q^{40} +(-2.92944 - 9.97676i) q^{41} +(6.50192 + 2.59937i) q^{42} +(-1.78005 - 0.255932i) q^{43} +(-4.30183 + 0.204921i) q^{44} +(1.77707 + 3.07797i) q^{45} +(-0.913207 - 4.70808i) q^{46} +(-7.98145 - 4.60809i) q^{47} +(-1.43086 - 2.22647i) q^{48} +(-0.326383 + 6.99239i) q^{49} +(1.74985 - 3.83163i) q^{50} +(16.6989 + 4.05110i) q^{51} +(4.22190 + 3.00640i) q^{52} +(-4.40828 - 1.52572i) q^{53} +(0.988095 - 2.46814i) q^{54} +(1.07687 - 3.66750i) q^{55} +(1.63450 - 2.08048i) q^{56} +(0.646928 - 1.00664i) q^{57} +(-5.90110 + 3.04223i) q^{58} +(2.54732 - 13.2168i) q^{59} +(2.28273 - 0.553784i) q^{60} +(2.83068 + 1.13323i) q^{61} +(4.95785 - 4.29600i) q^{62} +(10.5832 + 0.499066i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-3.74706 + 2.66827i) q^{65} +(-10.5817 + 4.23627i) q^{66} +(5.18565 - 10.0588i) q^{67} +(3.24628 - 5.62272i) q^{68} +(-6.35938 - 10.9846i) q^{69} +(1.27047 + 1.97481i) q^{70} +(3.20880 - 2.06217i) q^{71} +(-3.14777 - 2.47543i) q^{72} +(-0.147107 - 1.54057i) q^{73} +(-2.74566 + 2.87957i) q^{74} +(1.05971 - 11.0978i) q^{75} +(-0.296079 - 0.341693i) q^{76} +(-7.46591 - 8.60780i) q^{77} +(13.1616 + 3.86458i) q^{78} +(-3.65208 + 1.26400i) q^{79} +(0.0422304 - 0.886524i) q^{80} +(-0.236832 + 4.97172i) q^{81} +(-9.82608 + 3.40084i) q^{82} +(10.7028 + 3.14263i) q^{83} +(2.28705 - 6.61824i) q^{84} +(3.77353 + 4.35489i) q^{85} +(-0.170944 + 1.79021i) q^{86} +(-12.1255 + 12.7169i) q^{87} +(0.409378 + 4.28721i) q^{88} +(4.26318 + 3.35260i) q^{89} +(2.98993 - 1.92151i) q^{90} +(0.659033 + 13.6969i) q^{91} +(-4.65930 + 1.13619i) q^{92} +(8.68110 - 15.0361i) q^{93} +(-4.22310 + 8.19167i) q^{94} +(0.372530 - 0.149138i) q^{95} +(-2.15586 + 1.53518i) q^{96} +(1.09117 - 0.320396i) q^{97} +(7.00000 - 0.00669798i) q^{98} +(-13.0339 + 11.2939i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 8 q^{2} + 6 q^{3} + 8 q^{4} - 11 q^{7} + 16 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 8 q^{2} + 6 q^{3} + 8 q^{4} - 11 q^{7} + 16 q^{8} - 32 q^{9} + 27 q^{12} + 11 q^{14} + 8 q^{16} - 66 q^{17} + 32 q^{18} - 66 q^{21} - 30 q^{23} - 6 q^{24} + 42 q^{25} + 6 q^{26} - 22 q^{28} + 16 q^{29} - 22 q^{30} - 12 q^{31} - 8 q^{32} - 99 q^{35} + 20 q^{36} + 22 q^{37} + 33 q^{38} - 20 q^{39} - 22 q^{42} + 22 q^{43} + 8 q^{46} + 138 q^{47} - 15 q^{49} - 4 q^{50} + 55 q^{51} - 60 q^{52} - 22 q^{53} - 18 q^{54} - 11 q^{56} - 44 q^{57} - 14 q^{58} - 36 q^{59} + 11 q^{63} - 16 q^{64} - 77 q^{65} - 76 q^{70} - 80 q^{71} - 12 q^{72} + 108 q^{73} + 22 q^{74} - 85 q^{77} + 70 q^{78} - 44 q^{79} - 2 q^{81} - 21 q^{82} - 33 q^{84} - 58 q^{85} + 44 q^{86} - 186 q^{87} - 11 q^{88} - 198 q^{89} + 16 q^{92} + 114 q^{93} + 6 q^{94} + 6 q^{95} + 6 q^{96} + 33 q^{98} + 132 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0475819 0.998867i −0.0336455 0.706306i
\(3\) −0.983644 2.45702i −0.567907 1.41856i −0.882941 0.469483i \(-0.844440\pi\)
0.315034 0.949080i \(-0.397984\pi\)
\(4\) −0.995472 + 0.0950560i −0.497736 + 0.0475280i
\(5\) 0.209243 0.862512i 0.0935763 0.385727i −0.905694 0.423933i \(-0.860649\pi\)
0.999270 + 0.0382061i \(0.0121643\pi\)
\(6\) −2.40744 + 1.09944i −0.982832 + 0.448845i
\(7\) −1.82669 1.91395i −0.690425 0.723404i
\(8\) 0.142315 + 0.989821i 0.0503159 + 0.349955i
\(9\) −2.89821 + 2.76344i −0.966070 + 0.921146i
\(10\) −0.871491 0.167966i −0.275590 0.0531155i
\(11\) 4.30183 + 0.204921i 1.29705 + 0.0617861i 0.684714 0.728812i \(-0.259927\pi\)
0.612336 + 0.790598i \(0.290230\pi\)
\(12\) 1.21275 + 2.35240i 0.350089 + 0.679079i
\(13\) −3.91701 3.39410i −1.08638 0.941355i −0.0878831 0.996131i \(-0.528010\pi\)
−0.998499 + 0.0547756i \(0.982556\pi\)
\(14\) −1.82486 + 1.91569i −0.487715 + 0.511991i
\(15\) −2.32503 + 0.334289i −0.600321 + 0.0863131i
\(16\) 0.981929 0.189251i 0.245482 0.0473128i
\(17\) −3.76605 + 5.28868i −0.913402 + 1.28269i 0.0455021 + 0.998964i \(0.485511\pi\)
−0.958904 + 0.283730i \(0.908428\pi\)
\(18\) 2.89821 + 2.76344i 0.683115 + 0.651349i
\(19\) 0.262258 + 0.368290i 0.0601661 + 0.0844915i 0.843563 0.537031i \(-0.180454\pi\)
−0.783397 + 0.621522i \(0.786515\pi\)
\(20\) −0.126309 + 0.878496i −0.0282435 + 0.196438i
\(21\) −2.90580 + 6.37087i −0.634097 + 1.39024i
\(22\) 4.30671i 0.918193i
\(23\) 4.74620 0.688153i 0.989652 0.143490i
\(24\) 2.29203 1.32330i 0.467858 0.270118i
\(25\) 3.74403 + 1.93018i 0.748807 + 0.386037i
\(26\) −3.20388 + 4.07407i −0.628333 + 0.798990i
\(27\) 2.41833 + 1.10442i 0.465408 + 0.212545i
\(28\) 2.00035 + 1.73164i 0.378031 + 0.327250i
\(29\) −2.75799 6.03917i −0.512147 1.12145i −0.972328 0.233620i \(-0.924943\pi\)
0.460181 0.887825i \(-0.347784\pi\)
\(30\) 0.444540 + 2.30649i 0.0811616 + 0.421106i
\(31\) 4.05523 + 5.15665i 0.728341 + 0.926161i 0.999337 0.0364194i \(-0.0115952\pi\)
−0.270995 + 0.962581i \(0.587353\pi\)
\(32\) −0.235759 0.971812i −0.0416767 0.171794i
\(33\) −3.72797 10.7713i −0.648957 1.87504i
\(34\) 5.46189 + 3.51014i 0.936706 + 0.601984i
\(35\) −2.03302 + 1.17506i −0.343644 + 0.198622i
\(36\) 2.62241 3.02642i 0.437068 0.504403i
\(37\) −2.74566 2.87957i −0.451384 0.473398i 0.458241 0.888828i \(-0.348480\pi\)
−0.909625 + 0.415430i \(0.863631\pi\)
\(38\) 0.355394 0.279485i 0.0576525 0.0453384i
\(39\) −4.48646 + 12.9628i −0.718408 + 2.07570i
\(40\) 0.883511 + 0.0843651i 0.139695 + 0.0133393i
\(41\) −2.92944 9.97676i −0.457502 1.55811i −0.788841 0.614597i \(-0.789319\pi\)
0.331339 0.943512i \(-0.392500\pi\)
\(42\) 6.50192 + 2.59937i 1.00327 + 0.401091i
\(43\) −1.78005 0.255932i −0.271454 0.0390293i 0.00524330 0.999986i \(-0.498331\pi\)
−0.276698 + 0.960957i \(0.589240\pi\)
\(44\) −4.30183 + 0.204921i −0.648525 + 0.0308931i
\(45\) 1.77707 + 3.07797i 0.264910 + 0.458837i
\(46\) −0.913207 4.70808i −0.134645 0.694169i
\(47\) −7.98145 4.60809i −1.16421 0.672159i −0.211904 0.977291i \(-0.567966\pi\)
−0.952310 + 0.305131i \(0.901300\pi\)
\(48\) −1.43086 2.22647i −0.206527 0.321363i
\(49\) −0.326383 + 6.99239i −0.0466261 + 0.998912i
\(50\) 1.74985 3.83163i 0.247466 0.541875i
\(51\) 16.6989 + 4.05110i 2.33831 + 0.567268i
\(52\) 4.22190 + 3.00640i 0.585472 + 0.416913i
\(53\) −4.40828 1.52572i −0.605524 0.209574i 0.00706543 0.999975i \(-0.497751\pi\)
−0.612590 + 0.790401i \(0.709872\pi\)
\(54\) 0.988095 2.46814i 0.134463 0.335872i
\(55\) 1.07687 3.66750i 0.145206 0.494525i
\(56\) 1.63450 2.08048i 0.218419 0.278016i
\(57\) 0.646928 1.00664i 0.0856878 0.133333i
\(58\) −5.90110 + 3.04223i −0.774852 + 0.399464i
\(59\) 2.54732 13.2168i 0.331633 1.72068i −0.307472 0.951557i \(-0.599483\pi\)
0.639105 0.769120i \(-0.279305\pi\)
\(60\) 2.28273 0.553784i 0.294699 0.0714932i
\(61\) 2.83068 + 1.13323i 0.362431 + 0.145096i 0.545729 0.837962i \(-0.316253\pi\)
−0.183297 + 0.983058i \(0.558677\pi\)
\(62\) 4.95785 4.29600i 0.629648 0.545593i
\(63\) 10.5832 + 0.499066i 1.33336 + 0.0628764i
\(64\) −0.959493 + 0.281733i −0.119937 + 0.0352166i
\(65\) −3.74706 + 2.66827i −0.464766 + 0.330958i
\(66\) −10.5817 + 4.23627i −1.30252 + 0.521448i
\(67\) 5.18565 10.0588i 0.633528 1.22887i −0.325495 0.945544i \(-0.605531\pi\)
0.959023 0.283329i \(-0.0914387\pi\)
\(68\) 3.24628 5.62272i 0.393669 0.681855i
\(69\) −6.35938 10.9846i −0.765580 1.32240i
\(70\) 1.27047 + 1.97481i 0.151850 + 0.236035i
\(71\) 3.20880 2.06217i 0.380815 0.244735i −0.336203 0.941789i \(-0.609143\pi\)
0.717018 + 0.697055i \(0.245507\pi\)
\(72\) −3.14777 2.47543i −0.370968 0.291733i
\(73\) −0.147107 1.54057i −0.0172176 0.180311i 0.982772 0.184821i \(-0.0591704\pi\)
−0.999990 + 0.00451016i \(0.998564\pi\)
\(74\) −2.74566 + 2.87957i −0.319177 + 0.334743i
\(75\) 1.05971 11.0978i 0.122365 1.28146i
\(76\) −0.296079 0.341693i −0.0339625 0.0391949i
\(77\) −7.46591 8.60780i −0.850820 0.980950i
\(78\) 13.1616 + 3.86458i 1.49025 + 0.437578i
\(79\) −3.65208 + 1.26400i −0.410891 + 0.142211i −0.524691 0.851293i \(-0.675819\pi\)
0.113799 + 0.993504i \(0.463698\pi\)
\(80\) 0.0422304 0.886524i 0.00472150 0.0991164i
\(81\) −0.236832 + 4.97172i −0.0263147 + 0.552413i
\(82\) −9.82608 + 3.40084i −1.08511 + 0.375560i
\(83\) 10.7028 + 3.14263i 1.17479 + 0.344949i 0.810162 0.586205i \(-0.199379\pi\)
0.364625 + 0.931154i \(0.381197\pi\)
\(84\) 2.28705 6.61824i 0.249538 0.722109i
\(85\) 3.77353 + 4.35489i 0.409297 + 0.472354i
\(86\) −0.170944 + 1.79021i −0.0184334 + 0.193043i
\(87\) −12.1255 + 12.7169i −1.29999 + 1.36339i
\(88\) 0.409378 + 4.28721i 0.0436399 + 0.457018i
\(89\) 4.26318 + 3.35260i 0.451896 + 0.355375i 0.818019 0.575192i \(-0.195072\pi\)
−0.366123 + 0.930567i \(0.619315\pi\)
\(90\) 2.98993 1.92151i 0.315166 0.202545i
\(91\) 0.659033 + 13.6969i 0.0690854 + 1.43583i
\(92\) −4.65930 + 1.13619i −0.485766 + 0.118456i
\(93\) 8.68110 15.0361i 0.900188 1.55917i
\(94\) −4.22310 + 8.19167i −0.435579 + 0.844906i
\(95\) 0.372530 0.149138i 0.0382208 0.0153013i
\(96\) −2.15586 + 1.53518i −0.220032 + 0.156684i
\(97\) 1.09117 0.320396i 0.110791 0.0325312i −0.225867 0.974158i \(-0.572521\pi\)
0.336658 + 0.941627i \(0.390703\pi\)
\(98\) 7.00000 0.00669798i 0.707106 0.000676598i
\(99\) −13.0339 + 11.2939i −1.30996 + 1.13508i
\(100\) −3.91056 1.56555i −0.391056 0.156555i
\(101\) −6.11782 + 1.48417i −0.608745 + 0.147680i −0.528270 0.849077i \(-0.677159\pi\)
−0.0804756 + 0.996757i \(0.525644\pi\)
\(102\) 3.25195 16.8727i 0.321991 1.67065i
\(103\) 11.5944 5.97730i 1.14243 0.588961i 0.220139 0.975468i \(-0.429349\pi\)
0.922286 + 0.386507i \(0.126319\pi\)
\(104\) 2.80211 4.36017i 0.274769 0.427550i
\(105\) 4.88693 + 3.83934i 0.476916 + 0.374682i
\(106\) −1.31424 + 4.47589i −0.127650 + 0.434737i
\(107\) −1.54249 + 3.85296i −0.149118 + 0.372479i −0.984054 0.177867i \(-0.943080\pi\)
0.834936 + 0.550347i \(0.185504\pi\)
\(108\) −2.51236 0.869537i −0.241752 0.0836713i
\(109\) 9.01669 + 6.42076i 0.863643 + 0.614997i 0.923665 0.383200i \(-0.125178\pi\)
−0.0600228 + 0.998197i \(0.519117\pi\)
\(110\) −3.71458 0.901148i −0.354172 0.0859211i
\(111\) −4.37441 + 9.57863i −0.415201 + 0.909163i
\(112\) −2.15590 1.53366i −0.203713 0.144917i
\(113\) 0.00684562 + 0.0106520i 0.000643981 + 0.00100205i 0.841575 0.540140i \(-0.181629\pi\)
−0.840931 + 0.541142i \(0.817992\pi\)
\(114\) −1.03628 0.598298i −0.0970567 0.0560357i
\(115\) 0.399570 4.23765i 0.0372601 0.395163i
\(116\) 3.31957 + 5.74966i 0.308214 + 0.533842i
\(117\) 20.7317 0.987573i 1.91665 0.0913012i
\(118\) −13.3230 1.91556i −1.22648 0.176341i
\(119\) 17.0017 2.45278i 1.55854 0.224846i
\(120\) −0.661773 2.25379i −0.0604114 0.205742i
\(121\) 7.51354 + 0.717456i 0.683049 + 0.0652233i
\(122\) 0.997261 2.88140i 0.0902877 0.260869i
\(123\) −21.6316 + 17.0113i −1.95046 + 1.53386i
\(124\) −4.52704 4.74782i −0.406540 0.426367i
\(125\) 5.35426 6.17915i 0.478900 0.552680i
\(126\) −0.00506893 10.5950i −0.000451576 0.943876i
\(127\) −6.59801 4.24028i −0.585479 0.376264i 0.214113 0.976809i \(-0.431314\pi\)
−0.799591 + 0.600545i \(0.794950\pi\)
\(128\) 0.327068 + 0.945001i 0.0289090 + 0.0835271i
\(129\) 1.12210 + 4.62536i 0.0987955 + 0.407240i
\(130\) 2.84354 + 3.61586i 0.249395 + 0.317131i
\(131\) −0.00669711 0.0347479i −0.000585129 0.00303594i 0.981635 0.190769i \(-0.0610981\pi\)
−0.982220 + 0.187733i \(0.939886\pi\)
\(132\) 4.73497 + 10.3681i 0.412126 + 0.902430i
\(133\) 0.225822 1.17470i 0.0195813 0.101859i
\(134\) −10.2941 4.70116i −0.889275 0.406118i
\(135\) 1.45859 1.85475i 0.125535 0.159631i
\(136\) −5.77082 2.97506i −0.494843 0.255110i
\(137\) −11.1311 + 6.42654i −0.950994 + 0.549056i −0.893389 0.449283i \(-0.851679\pi\)
−0.0576042 + 0.998339i \(0.518346\pi\)
\(138\) −10.6696 + 6.87485i −0.908257 + 0.585226i
\(139\) 12.9280i 1.09654i 0.836302 + 0.548268i \(0.184713\pi\)
−0.836302 + 0.548268i \(0.815287\pi\)
\(140\) 1.91212 1.36299i 0.161604 0.115194i
\(141\) −3.47129 + 24.1433i −0.292335 + 2.03324i
\(142\) −2.21252 3.10704i −0.185670 0.260737i
\(143\) −16.1548 15.4035i −1.35093 1.28811i
\(144\) −2.32285 + 3.26199i −0.193571 + 0.271832i
\(145\) −5.78594 + 1.11515i −0.480496 + 0.0926081i
\(146\) −1.53183 + 0.220244i −0.126775 + 0.0182275i
\(147\) 17.5015 6.07609i 1.44350 0.501147i
\(148\) 3.00695 + 2.60554i 0.247170 + 0.214174i
\(149\) −1.12625 2.18462i −0.0922659 0.178971i 0.838186 0.545384i \(-0.183616\pi\)
−0.930452 + 0.366413i \(0.880586\pi\)
\(150\) −11.1356 0.530456i −0.909222 0.0433116i
\(151\) 15.7401 + 3.03366i 1.28091 + 0.246876i 0.783911 0.620873i \(-0.213222\pi\)
0.497003 + 0.867749i \(0.334434\pi\)
\(152\) −0.327218 + 0.312002i −0.0265409 + 0.0253067i
\(153\) −3.70013 25.7350i −0.299138 2.08055i
\(154\) −8.24281 + 7.86703i −0.664224 + 0.633943i
\(155\) 5.29620 2.41869i 0.425401 0.194274i
\(156\) 3.23395 13.3305i 0.258924 1.06730i
\(157\) 15.1999 1.45142i 1.21309 0.115836i 0.531170 0.847265i \(-0.321753\pi\)
0.681917 + 0.731430i \(0.261147\pi\)
\(158\) 1.43634 + 3.58780i 0.114269 + 0.285430i
\(159\) 0.587447 + 12.3320i 0.0465876 + 0.977993i
\(160\) −0.887530 −0.0701654
\(161\) −9.98695 7.82694i −0.787082 0.616849i
\(162\) 4.97735 0.391058
\(163\) −0.401213 8.42250i −0.0314254 0.659701i −0.958546 0.284938i \(-0.908027\pi\)
0.927121 0.374763i \(-0.122276\pi\)
\(164\) 3.86453 + 9.65313i 0.301769 + 0.753783i
\(165\) −10.0704 + 0.961606i −0.783979 + 0.0748609i
\(166\) 2.62981 10.8402i 0.204113 0.841366i
\(167\) −3.57773 + 1.63390i −0.276853 + 0.126435i −0.549003 0.835820i \(-0.684993\pi\)
0.272150 + 0.962255i \(0.412265\pi\)
\(168\) −6.71956 1.96955i −0.518426 0.151954i
\(169\) 1.97289 + 13.7218i 0.151761 + 1.05552i
\(170\) 4.17040 3.97647i 0.319855 0.304981i
\(171\) −1.77782 0.342648i −0.135954 0.0262029i
\(172\) 1.79631 + 0.0855690i 0.136968 + 0.00652457i
\(173\) 7.15931 + 13.8871i 0.544312 + 1.05582i 0.987237 + 0.159259i \(0.0509106\pi\)
−0.442925 + 0.896559i \(0.646059\pi\)
\(174\) 13.2794 + 11.5067i 1.00671 + 0.872318i
\(175\) −3.14493 10.6917i −0.237735 0.808219i
\(176\) 4.26287 0.612908i 0.321326 0.0461997i
\(177\) −34.9796 + 6.74176i −2.62923 + 0.506742i
\(178\) 3.14595 4.41788i 0.235799 0.331134i
\(179\) 10.2883 + 9.80991i 0.768987 + 0.733227i 0.969133 0.246539i \(-0.0792933\pi\)
−0.200146 + 0.979766i \(0.564142\pi\)
\(180\) −2.06160 2.89511i −0.153663 0.215789i
\(181\) 1.71483 11.9269i 0.127462 0.886519i −0.821293 0.570507i \(-0.806747\pi\)
0.948755 0.316012i \(-0.102344\pi\)
\(182\) 13.6501 1.31001i 1.01181 0.0971046i
\(183\) 8.06975i 0.596533i
\(184\) 1.35660 + 4.59996i 0.100010 + 0.339114i
\(185\) −3.05817 + 1.76564i −0.224841 + 0.129812i
\(186\) −15.4321 7.95582i −1.13154 0.583349i
\(187\) −17.2847 + 21.9793i −1.26398 + 1.60728i
\(188\) 8.38334 + 3.82854i 0.611418 + 0.279225i
\(189\) −2.30376 6.64599i −0.167574 0.483424i
\(190\) −0.166695 0.365012i −0.0120933 0.0264807i
\(191\) −3.68635 19.1266i −0.266735 1.38395i −0.830041 0.557703i \(-0.811683\pi\)
0.563306 0.826248i \(-0.309529\pi\)
\(192\) 1.63602 + 2.08037i 0.118070 + 0.150138i
\(193\) 3.91972 + 16.1573i 0.282148 + 1.16303i 0.919700 + 0.392622i \(0.128432\pi\)
−0.637552 + 0.770407i \(0.720053\pi\)
\(194\) −0.371952 1.07469i −0.0267046 0.0771580i
\(195\) 10.2418 + 6.58199i 0.733429 + 0.471346i
\(196\) −0.339764 6.99175i −0.0242688 0.499411i
\(197\) 3.60277 4.15782i 0.256687 0.296232i −0.612750 0.790277i \(-0.709937\pi\)
0.869437 + 0.494045i \(0.164482\pi\)
\(198\) 11.9013 + 12.4817i 0.845790 + 0.887039i
\(199\) −2.40207 + 1.88901i −0.170278 + 0.133908i −0.699661 0.714475i \(-0.746666\pi\)
0.529383 + 0.848383i \(0.322423\pi\)
\(200\) −1.37771 + 3.98062i −0.0974185 + 0.281472i
\(201\) −29.8154 2.84703i −2.10302 0.200814i
\(202\) 1.77358 + 6.04027i 0.124789 + 0.424992i
\(203\) −6.52063 + 16.3104i −0.457659 + 1.14476i
\(204\) −17.0083 2.44543i −1.19082 0.171214i
\(205\) −9.21804 + 0.439109i −0.643816 + 0.0306687i
\(206\) −6.52222 11.2968i −0.454424 0.787086i
\(207\) −11.8538 + 15.1103i −0.823898 + 1.05024i
\(208\) −4.48856 2.59147i −0.311226 0.179686i
\(209\) 1.05272 + 1.63806i 0.0728180 + 0.113307i
\(210\) 3.60247 5.06408i 0.248594 0.349455i
\(211\) −7.13122 + 15.6152i −0.490933 + 1.07499i 0.488378 + 0.872632i \(0.337589\pi\)
−0.979311 + 0.202361i \(0.935138\pi\)
\(212\) 4.53335 + 1.09978i 0.311352 + 0.0755331i
\(213\) −8.22312 5.85566i −0.563439 0.401223i
\(214\) 3.92199 + 1.35741i 0.268101 + 0.0927908i
\(215\) −0.593207 + 1.48176i −0.0404564 + 0.101055i
\(216\) −0.749009 + 2.55089i −0.0509636 + 0.173566i
\(217\) 2.46188 17.1811i 0.167123 1.16633i
\(218\) 5.98445 9.31199i 0.405318 0.630688i
\(219\) −3.64053 + 1.87682i −0.246004 + 0.126824i
\(220\) −0.723381 + 3.75326i −0.0487703 + 0.253044i
\(221\) 32.7020 7.93342i 2.19977 0.533659i
\(222\) 9.77592 + 3.91369i 0.656117 + 0.262670i
\(223\) 7.37122 6.38720i 0.493613 0.427719i −0.372149 0.928173i \(-0.621379\pi\)
0.865763 + 0.500454i \(0.166834\pi\)
\(224\) −1.42934 + 2.22643i −0.0955015 + 0.148760i
\(225\) −16.1849 + 4.75233i −1.07900 + 0.316822i
\(226\) 0.0103142 0.00734470i 0.000686090 0.000488562i
\(227\) 14.2859 5.71920i 0.948187 0.379597i 0.154548 0.987985i \(-0.450608\pi\)
0.793639 + 0.608388i \(0.208184\pi\)
\(228\) −0.548312 + 1.06358i −0.0363128 + 0.0704371i
\(229\) −1.12407 + 1.94694i −0.0742805 + 0.128658i −0.900773 0.434290i \(-0.856999\pi\)
0.826493 + 0.562948i \(0.190333\pi\)
\(230\) −4.25186 0.197483i −0.280359 0.0130216i
\(231\) −13.8058 + 26.8109i −0.908353 + 1.76403i
\(232\) 5.58519 3.58939i 0.366686 0.235655i
\(233\) 5.98722 + 4.70840i 0.392236 + 0.308458i 0.794728 0.606966i \(-0.207613\pi\)
−0.402492 + 0.915423i \(0.631856\pi\)
\(234\) −1.97291 20.6612i −0.128973 1.35067i
\(235\) −5.64460 + 5.91988i −0.368213 + 0.386170i
\(236\) −1.27946 + 13.3991i −0.0832854 + 0.872205i
\(237\) 6.69803 + 7.72993i 0.435084 + 0.502113i
\(238\) −3.25897 16.8657i −0.211248 1.09324i
\(239\) −22.6964 6.66425i −1.46811 0.431075i −0.552622 0.833432i \(-0.686373\pi\)
−0.915483 + 0.402357i \(0.868191\pi\)
\(240\) −2.21975 + 0.768264i −0.143284 + 0.0495912i
\(241\) 0.276366 5.80164i 0.0178023 0.373716i −0.972333 0.233600i \(-0.924949\pi\)
0.990135 0.140116i \(-0.0447476\pi\)
\(242\) 0.359135 7.53917i 0.0230861 0.484636i
\(243\) 19.9857 6.91711i 1.28208 0.443733i
\(244\) −2.92558 0.859029i −0.187291 0.0549937i
\(245\) 5.96272 + 1.74462i 0.380944 + 0.111460i
\(246\) 18.0213 + 20.7977i 1.14900 + 1.32601i
\(247\) 0.222748 2.33272i 0.0141731 0.148428i
\(248\) −4.52704 + 4.74782i −0.287467 + 0.301487i
\(249\) −2.80625 29.3883i −0.177839 1.86241i
\(250\) −6.42691 5.05418i −0.406474 0.319654i
\(251\) 14.0142 9.00636i 0.884566 0.568476i −0.0176095 0.999845i \(-0.505606\pi\)
0.902176 + 0.431369i \(0.141969\pi\)
\(252\) −10.5827 + 0.509192i −0.666650 + 0.0320761i
\(253\) 20.5584 1.98772i 1.29249 0.124967i
\(254\) −3.92153 + 6.79230i −0.246059 + 0.426187i
\(255\) 6.98825 13.5553i 0.437621 0.848867i
\(256\) 0.928368 0.371662i 0.0580230 0.0232289i
\(257\) 0.289566 0.206199i 0.0180626 0.0128623i −0.570990 0.820957i \(-0.693440\pi\)
0.589053 + 0.808095i \(0.299501\pi\)
\(258\) 4.56673 1.34091i 0.284312 0.0834816i
\(259\) −0.495856 + 10.5151i −0.0308110 + 0.653379i
\(260\) 3.47646 3.01237i 0.215601 0.186819i
\(261\) 24.6821 + 9.88123i 1.52778 + 0.611633i
\(262\) −0.0343899 + 0.00834290i −0.00212461 + 0.000515426i
\(263\) 5.67890 29.4649i 0.350176 1.81689i −0.197625 0.980278i \(-0.563323\pi\)
0.547801 0.836608i \(-0.315465\pi\)
\(264\) 10.1311 5.22294i 0.623525 0.321450i
\(265\) −2.23836 + 3.48295i −0.137501 + 0.213956i
\(266\) −1.18411 0.169672i −0.0726027 0.0104032i
\(267\) 4.04397 13.7725i 0.247487 0.842864i
\(268\) −4.20602 + 10.5061i −0.256924 + 0.641764i
\(269\) −8.78700 3.04121i −0.535753 0.185426i 0.0457760 0.998952i \(-0.485424\pi\)
−0.581529 + 0.813526i \(0.697545\pi\)
\(270\) −1.92205 1.36869i −0.116972 0.0832956i
\(271\) 23.3868 + 5.67359i 1.42065 + 0.344646i 0.871219 0.490894i \(-0.163330\pi\)
0.549430 + 0.835540i \(0.314845\pi\)
\(272\) −2.69711 + 5.90584i −0.163536 + 0.358094i
\(273\) 33.0054 15.0922i 1.99758 0.913419i
\(274\) 6.94890 + 10.8127i 0.419798 + 0.653219i
\(275\) 15.7107 + 9.07055i 0.947388 + 0.546975i
\(276\) 7.37474 + 10.3304i 0.443907 + 0.621817i
\(277\) −0.390035 0.675561i −0.0234349 0.0405905i 0.854070 0.520158i \(-0.174127\pi\)
−0.877505 + 0.479567i \(0.840794\pi\)
\(278\) 12.9133 0.615138i 0.774490 0.0368935i
\(279\) −26.0030 3.73867i −1.55676 0.223828i
\(280\) −1.45243 1.84510i −0.0867995 0.110266i
\(281\) −4.14194 14.1061i −0.247087 0.841502i −0.985863 0.167551i \(-0.946414\pi\)
0.738776 0.673951i \(-0.235404\pi\)
\(282\) 24.2812 + 2.31857i 1.44592 + 0.138069i
\(283\) −8.98255 + 25.9534i −0.533957 + 1.54277i 0.278908 + 0.960318i \(0.410027\pi\)
−0.812866 + 0.582451i \(0.802094\pi\)
\(284\) −2.99825 + 2.35785i −0.177913 + 0.139913i
\(285\) −0.732874 0.768616i −0.0434117 0.0455289i
\(286\) −14.6174 + 16.8694i −0.864346 + 0.997508i
\(287\) −13.7438 + 23.8313i −0.811271 + 1.40672i
\(288\) 3.36882 + 2.16501i 0.198510 + 0.127574i
\(289\) −8.22685 23.7699i −0.483932 1.39823i
\(290\) 1.38919 + 5.72633i 0.0815762 + 0.336262i
\(291\) −1.86054 2.36587i −0.109067 0.138690i
\(292\) 0.292882 + 1.51961i 0.0171396 + 0.0889287i
\(293\) −6.43757 14.0963i −0.376087 0.823515i −0.999145 0.0413398i \(-0.986837\pi\)
0.623058 0.782175i \(-0.285890\pi\)
\(294\) −6.90196 17.1926i −0.402531 1.00269i
\(295\) −10.8666 4.96261i −0.632678 0.288935i
\(296\) 2.45951 3.12752i 0.142956 0.181783i
\(297\) 10.1769 + 5.24657i 0.590525 + 0.304437i
\(298\) −2.12855 + 1.22892i −0.123304 + 0.0711895i
\(299\) −20.9266 13.4136i −1.21021 0.775729i
\(300\) 11.1483i 0.643646i
\(301\) 2.76176 + 3.87442i 0.159185 + 0.223318i
\(302\) 2.28128 15.8667i 0.131273 0.913024i
\(303\) 9.66439 + 13.5717i 0.555205 + 0.779676i
\(304\) 0.327218 + 0.312002i 0.0187672 + 0.0178945i
\(305\) 1.56973 2.20437i 0.0898823 0.126222i
\(306\) −25.5298 + 4.92046i −1.45944 + 0.281284i
\(307\) −0.495766 + 0.0712804i −0.0282949 + 0.00406819i −0.156448 0.987686i \(-0.550004\pi\)
0.128153 + 0.991754i \(0.459095\pi\)
\(308\) 8.25033 + 7.85914i 0.470106 + 0.447816i
\(309\) −26.0911 22.6081i −1.48427 1.28613i
\(310\) −2.66796 5.17511i −0.151530 0.293927i
\(311\) 3.64700 + 0.173728i 0.206802 + 0.00985121i 0.150728 0.988575i \(-0.451838\pi\)
0.0560749 + 0.998427i \(0.482141\pi\)
\(312\) −13.4693 2.59600i −0.762550 0.146969i
\(313\) −15.8006 + 15.0658i −0.893102 + 0.851571i −0.989612 0.143761i \(-0.954080\pi\)
0.0965106 + 0.995332i \(0.469232\pi\)
\(314\) −2.17302 15.1137i −0.122630 0.852913i
\(315\) 2.64492 9.02372i 0.149024 0.508429i
\(316\) 3.51540 1.60543i 0.197756 0.0903124i
\(317\) 0.208577 0.859765i 0.0117148 0.0482892i −0.965654 0.259831i \(-0.916333\pi\)
0.977369 + 0.211542i \(0.0678484\pi\)
\(318\) 12.2901 1.17356i 0.689195 0.0658101i
\(319\) −10.6269 26.5446i −0.594990 1.48621i
\(320\) 0.0422304 + 0.886524i 0.00236075 + 0.0495582i
\(321\) 10.9841 0.613071
\(322\) −7.34287 + 10.3481i −0.409202 + 0.576675i
\(323\) −2.93544 −0.163333
\(324\) −0.236832 4.97172i −0.0131573 0.276206i
\(325\) −8.11416 20.2682i −0.450092 1.12428i
\(326\) −8.39387 + 0.801518i −0.464894 + 0.0443920i
\(327\) 6.90674 28.4700i 0.381944 1.57439i
\(328\) 9.45831 4.31947i 0.522248 0.238503i
\(329\) 5.76002 + 23.6936i 0.317560 + 1.30627i
\(330\) 1.43969 + 10.0132i 0.0792521 + 0.551210i
\(331\) 5.91745 5.64227i 0.325252 0.310127i −0.509806 0.860290i \(-0.670283\pi\)
0.835058 + 0.550162i \(0.185434\pi\)
\(332\) −10.9531 2.11103i −0.601129 0.115858i
\(333\) 15.9150 + 0.758126i 0.872138 + 0.0415450i
\(334\) 1.80228 + 3.49594i 0.0986164 + 0.191289i
\(335\) −7.59073 6.57741i −0.414726 0.359362i
\(336\) −1.64759 + 6.80567i −0.0898834 + 0.371280i
\(337\) 31.1322 4.47613i 1.69588 0.243830i 0.774521 0.632548i \(-0.217991\pi\)
0.921357 + 0.388718i \(0.127082\pi\)
\(338\) 13.6124 2.62357i 0.740415 0.142703i
\(339\) 0.0194385 0.0272976i 0.00105576 0.00148260i
\(340\) −4.17040 3.97647i −0.226172 0.215654i
\(341\) 16.3882 + 23.0140i 0.887471 + 1.24628i
\(342\) −0.257667 + 1.79212i −0.0139330 + 0.0969065i
\(343\) 13.9793 12.1483i 0.754809 0.655945i
\(344\) 1.79835i 0.0969606i
\(345\) −10.8050 + 3.18658i −0.581724 + 0.171560i
\(346\) 13.5307 7.81197i 0.727417 0.419974i
\(347\) 15.2836 + 7.87924i 0.820467 + 0.422980i 0.816735 0.577013i \(-0.195782\pi\)
0.00373174 + 0.999993i \(0.498812\pi\)
\(348\) 10.8618 13.8119i 0.582252 0.740394i
\(349\) −11.3097 5.16495i −0.605393 0.276474i 0.0890437 0.996028i \(-0.471619\pi\)
−0.694436 + 0.719554i \(0.744346\pi\)
\(350\) −10.5300 + 3.65010i −0.562851 + 0.195106i
\(351\) −5.72412 12.5341i −0.305531 0.669019i
\(352\) −0.815050 4.22888i −0.0434423 0.225400i
\(353\) 15.0139 + 19.0917i 0.799110 + 1.01615i 0.999337 + 0.0364016i \(0.0115895\pi\)
−0.200227 + 0.979749i \(0.564168\pi\)
\(354\) 8.39852 + 34.6192i 0.446376 + 1.83999i
\(355\) −1.10723 3.19912i −0.0587655 0.169792i
\(356\) −4.56256 2.93218i −0.241815 0.155405i
\(357\) −22.7501 39.3609i −1.20406 2.08320i
\(358\) 9.30926 10.7435i 0.492010 0.567810i
\(359\) −10.8967 11.4281i −0.575106 0.603153i 0.370355 0.928890i \(-0.379236\pi\)
−0.945460 + 0.325737i \(0.894388\pi\)
\(360\) −2.79374 + 2.19702i −0.147243 + 0.115793i
\(361\) 6.14743 17.7618i 0.323549 0.934834i
\(362\) −11.9950 1.14538i −0.630442 0.0601999i
\(363\) −5.62785 19.1667i −0.295385 1.00599i
\(364\) −1.95802 13.5723i −0.102628 0.711380i
\(365\) −1.35954 0.195473i −0.0711618 0.0102315i
\(366\) −8.06061 + 0.383974i −0.421335 + 0.0200707i
\(367\) 3.80317 + 6.58729i 0.198524 + 0.343853i 0.948050 0.318121i \(-0.103052\pi\)
−0.749526 + 0.661975i \(0.769719\pi\)
\(368\) 4.53020 1.57394i 0.236153 0.0820474i
\(369\) 36.0603 + 20.8194i 1.87723 + 1.08382i
\(370\) 1.90915 + 2.97070i 0.0992520 + 0.154439i
\(371\) 5.13243 + 11.2242i 0.266463 + 0.582734i
\(372\) −7.21252 + 15.7932i −0.373952 + 0.818840i
\(373\) 32.7647 + 7.94862i 1.69649 + 0.411564i 0.963293 0.268452i \(-0.0865121\pi\)
0.733197 + 0.680016i \(0.238027\pi\)
\(374\) 22.7768 + 16.2193i 1.17776 + 0.838679i
\(375\) −20.4490 7.07747i −1.05598 0.365479i
\(376\) 3.42531 8.55601i 0.176647 0.441242i
\(377\) −9.69448 + 33.0164i −0.499291 + 1.70043i
\(378\) −6.52884 + 2.61738i −0.335807 + 0.134623i
\(379\) −2.21193 + 3.44183i −0.113619 + 0.176795i −0.893406 0.449250i \(-0.851691\pi\)
0.779787 + 0.626045i \(0.215327\pi\)
\(380\) −0.356666 + 0.183874i −0.0182966 + 0.00943255i
\(381\) −3.92839 + 20.3824i −0.201257 + 1.04422i
\(382\) −18.9295 + 4.59225i −0.968518 + 0.234960i
\(383\) 16.5541 + 6.62725i 0.845873 + 0.338636i 0.753790 0.657115i \(-0.228223\pi\)
0.0920825 + 0.995751i \(0.470648\pi\)
\(384\) 2.00017 1.73316i 0.102071 0.0884449i
\(385\) −8.98652 + 4.63831i −0.457995 + 0.236390i
\(386\) 15.9525 4.68408i 0.811962 0.238413i
\(387\) 5.86620 4.17730i 0.298196 0.212344i
\(388\) −1.05577 + 0.422667i −0.0535986 + 0.0214577i
\(389\) −12.6854 + 24.6062i −0.643174 + 1.24758i 0.311589 + 0.950217i \(0.399139\pi\)
−0.954763 + 0.297367i \(0.903892\pi\)
\(390\) 6.08721 10.5434i 0.308238 0.533884i
\(391\) −14.2350 + 27.6928i −0.719897 + 1.40048i
\(392\) −6.96766 + 0.672060i −0.351920 + 0.0339441i
\(393\) −0.0787889 + 0.0506345i −0.00397437 + 0.00255418i
\(394\) −4.32454 3.40085i −0.217867 0.171333i
\(395\) 0.326040 + 3.41445i 0.0164049 + 0.171799i
\(396\) 11.9013 12.4817i 0.598064 0.627231i
\(397\) −0.747261 + 7.82567i −0.0375040 + 0.392759i 0.957158 + 0.289568i \(0.0935115\pi\)
−0.994662 + 0.103192i \(0.967095\pi\)
\(398\) 2.00116 + 2.30946i 0.100309 + 0.115763i
\(399\) −3.10840 + 0.600637i −0.155614 + 0.0300694i
\(400\) 4.04166 + 1.18674i 0.202083 + 0.0593370i
\(401\) −5.59182 + 1.93535i −0.279242 + 0.0966467i −0.463100 0.886306i \(-0.653263\pi\)
0.183857 + 0.982953i \(0.441142\pi\)
\(402\) −1.42513 + 29.9171i −0.0710789 + 1.49213i
\(403\) 1.61783 33.9625i 0.0805900 1.69179i
\(404\) 5.94904 2.05898i 0.295976 0.102438i
\(405\) 4.23861 + 1.24457i 0.210618 + 0.0618430i
\(406\) 16.6022 + 5.73717i 0.823951 + 0.284731i
\(407\) −11.2213 12.9501i −0.556218 0.641910i
\(408\) −1.63337 + 17.1054i −0.0808639 + 0.846846i
\(409\) −20.6607 + 21.6683i −1.02161 + 1.07143i −0.0241808 + 0.999708i \(0.507698\pi\)
−0.997425 + 0.0717214i \(0.977151\pi\)
\(410\) 0.877224 + 9.18671i 0.0433230 + 0.453699i
\(411\) 26.7392 + 21.0279i 1.31895 + 1.03723i
\(412\) −10.9737 + 7.05235i −0.540634 + 0.347444i
\(413\) −29.9494 + 19.2675i −1.47371 + 0.948094i
\(414\) 15.6572 + 11.1214i 0.769508 + 0.546589i
\(415\) 4.95005 8.57374i 0.242988 0.420868i
\(416\) −2.37496 + 4.60678i −0.116442 + 0.225866i
\(417\) 31.7644 12.7165i 1.55551 0.622731i
\(418\) 1.58612 1.12947i 0.0775795 0.0552441i
\(419\) 8.85802 2.60095i 0.432743 0.127065i −0.0581044 0.998311i \(-0.518506\pi\)
0.490847 + 0.871246i \(0.336687\pi\)
\(420\) −5.22976 3.35743i −0.255186 0.163826i
\(421\) 25.0276 21.6866i 1.21977 1.05694i 0.223153 0.974783i \(-0.428365\pi\)
0.996619 0.0821559i \(-0.0261805\pi\)
\(422\) 15.9368 + 6.38014i 0.775792 + 0.310580i
\(423\) 35.8661 8.70102i 1.74387 0.423058i
\(424\) 0.882828 4.58055i 0.0428739 0.222451i
\(425\) −24.3084 + 12.5318i −1.17913 + 0.607883i
\(426\) −5.45775 + 8.49243i −0.264429 + 0.411460i
\(427\) −3.00184 7.48784i −0.145269 0.362362i
\(428\) 1.16926 3.98213i 0.0565183 0.192484i
\(429\) −21.9563 + 54.8442i −1.06006 + 2.64790i
\(430\) 1.50831 + 0.522030i 0.0727370 + 0.0251745i
\(431\) −19.1293 13.6219i −0.921425 0.656144i 0.0176541 0.999844i \(-0.494380\pi\)
−0.939079 + 0.343700i \(0.888320\pi\)
\(432\) 2.58364 + 0.626785i 0.124306 + 0.0301562i
\(433\) −13.6802 + 29.9555i −0.657430 + 1.43957i 0.227467 + 0.973786i \(0.426956\pi\)
−0.884898 + 0.465786i \(0.845772\pi\)
\(434\) −17.2788 1.64158i −0.829409 0.0787985i
\(435\) 8.43126 + 13.1193i 0.404248 + 0.629022i
\(436\) −9.58620 5.53459i −0.459096 0.265059i
\(437\) 1.49817 + 1.56750i 0.0716671 + 0.0749839i
\(438\) 2.04792 + 3.54710i 0.0978534 + 0.169487i
\(439\) −16.5596 + 0.788831i −0.790346 + 0.0376488i −0.438873 0.898549i \(-0.644622\pi\)
−0.351473 + 0.936198i \(0.614319\pi\)
\(440\) 3.78342 + 0.543974i 0.180368 + 0.0259330i
\(441\) −18.3771 21.1674i −0.875100 1.00797i
\(442\) −9.48046 32.2875i −0.450939 1.53576i
\(443\) −9.35177 0.892986i −0.444316 0.0424270i −0.129499 0.991580i \(-0.541337\pi\)
−0.314817 + 0.949152i \(0.601943\pi\)
\(444\) 3.44410 9.95107i 0.163450 0.472257i
\(445\) 3.78370 2.97553i 0.179365 0.141054i
\(446\) −6.73070 7.05896i −0.318708 0.334251i
\(447\) −4.25983 + 4.91611i −0.201483 + 0.232524i
\(448\) 2.29192 + 1.32178i 0.108283 + 0.0624482i
\(449\) −30.1106 19.3509i −1.42101 0.913226i −0.999981 0.00617849i \(-0.998033\pi\)
−0.421027 0.907048i \(-0.638330\pi\)
\(450\) 5.51706 + 15.9405i 0.260077 + 0.751442i
\(451\) −10.5575 43.5186i −0.497134 2.04921i
\(452\) −0.00782715 0.00995304i −0.000368158 0.000468151i
\(453\) −8.02891 41.6580i −0.377231 1.95726i
\(454\) −6.39248 13.9976i −0.300014 0.656938i
\(455\) 11.9517 + 2.29756i 0.560302 + 0.107711i
\(456\) 1.08846 + 0.497084i 0.0509719 + 0.0232781i
\(457\) −21.8292 + 27.7581i −1.02113 + 1.29847i −0.0674252 + 0.997724i \(0.521478\pi\)
−0.953704 + 0.300747i \(0.902764\pi\)
\(458\) 1.99822 + 1.03016i 0.0933708 + 0.0481360i
\(459\) −14.9485 + 8.63050i −0.697735 + 0.402837i
\(460\) 0.00505279 + 4.25644i 0.000235588 + 0.198458i
\(461\) 23.3185i 1.08605i −0.839717 0.543024i \(-0.817279\pi\)
0.839717 0.543024i \(-0.182721\pi\)
\(462\) 27.4375 + 12.5144i 1.27651 + 0.582223i
\(463\) −3.54679 + 24.6685i −0.164833 + 1.14644i 0.724531 + 0.689242i \(0.242056\pi\)
−0.889365 + 0.457199i \(0.848853\pi\)
\(464\) −3.85107 5.40808i −0.178782 0.251064i
\(465\) −11.1524 10.6338i −0.517178 0.493129i
\(466\) 4.41819 6.20448i 0.204669 0.287417i
\(467\) −4.48812 + 0.865014i −0.207685 + 0.0400281i −0.292033 0.956408i \(-0.594332\pi\)
0.0843473 + 0.996436i \(0.473119\pi\)
\(468\) −20.5440 + 2.95378i −0.949645 + 0.136538i
\(469\) −28.7245 + 8.44920i −1.32637 + 0.390148i
\(470\) 6.18176 + 5.35652i 0.285143 + 0.247078i
\(471\) −18.5175 35.9189i −0.853241 1.65506i
\(472\) 13.4448 + 0.640453i 0.618845 + 0.0294792i
\(473\) −7.60501 1.46574i −0.349679 0.0673950i
\(474\) 7.40247 7.05824i 0.340007 0.324196i
\(475\) 0.271036 + 1.88509i 0.0124360 + 0.0864941i
\(476\) −16.6915 + 4.05778i −0.765056 + 0.185988i
\(477\) 16.9924 7.76016i 0.778027 0.355313i
\(478\) −5.57677 + 22.9877i −0.255075 + 1.05144i
\(479\) 3.19754 0.305328i 0.146099 0.0139508i −0.0217501 0.999763i \(-0.506924\pi\)
0.167849 + 0.985813i \(0.446318\pi\)
\(480\) 0.873013 + 2.18068i 0.0398474 + 0.0995341i
\(481\) 0.981220 + 20.5983i 0.0447398 + 0.939204i
\(482\) −5.80822 −0.264557
\(483\) −9.40737 + 32.2371i −0.428050 + 1.46684i
\(484\) −7.54772 −0.343078
\(485\) −0.0480258 1.00818i −0.00218074 0.0457793i
\(486\) −7.86023 19.6339i −0.356547 0.890612i
\(487\) −13.2636 + 1.26652i −0.601033 + 0.0573917i −0.391138 0.920332i \(-0.627918\pi\)
−0.209895 + 0.977724i \(0.567312\pi\)
\(488\) −0.718851 + 2.96314i −0.0325409 + 0.134135i
\(489\) −20.2996 + 9.27054i −0.917982 + 0.419228i
\(490\) 1.45892 6.03898i 0.0659075 0.272813i
\(491\) 1.95021 + 13.5640i 0.0880117 + 0.612135i 0.985318 + 0.170727i \(0.0546116\pi\)
−0.897307 + 0.441408i \(0.854479\pi\)
\(492\) 19.9166 18.9905i 0.897912 0.856157i
\(493\) 42.3260 + 8.15767i 1.90627 + 0.367403i
\(494\) −2.34068 0.111500i −0.105312 0.00501664i
\(495\) 7.01390 + 13.6051i 0.315251 + 0.611502i
\(496\) 4.95785 + 4.29600i 0.222614 + 0.192896i
\(497\) −9.80838 2.37452i −0.439966 0.106512i
\(498\) −29.2215 + 4.20142i −1.30945 + 0.188270i
\(499\) 26.7277 5.15135i 1.19650 0.230606i 0.448178 0.893944i \(-0.352073\pi\)
0.748320 + 0.663338i \(0.230861\pi\)
\(500\) −4.74265 + 6.66012i −0.212098 + 0.297850i
\(501\) 7.53374 + 7.18340i 0.336583 + 0.320931i
\(502\) −9.66298 13.5698i −0.431280 0.605648i
\(503\) 0.647913 4.50633i 0.0288890 0.200927i −0.970265 0.242044i \(-0.922182\pi\)
0.999154 + 0.0411162i \(0.0130914\pi\)
\(504\) 1.01216 + 10.5465i 0.0450853 + 0.469779i
\(505\) 5.58724i 0.248629i
\(506\) −2.96367 20.4405i −0.131751 0.908691i
\(507\) 31.7741 18.3448i 1.41114 0.814721i
\(508\) 6.97120 + 3.59390i 0.309297 + 0.159454i
\(509\) −11.4542 + 14.5653i −0.507700 + 0.645593i −0.970566 0.240835i \(-0.922579\pi\)
0.462866 + 0.886428i \(0.346821\pi\)
\(510\) −13.8725 6.33535i −0.614283 0.280534i
\(511\) −2.67986 + 3.09571i −0.118550 + 0.136946i
\(512\) −0.415415 0.909632i −0.0183589 0.0402004i
\(513\) 0.227482 + 1.18029i 0.0100436 + 0.0521110i
\(514\) −0.219743 0.279426i −0.00969246 0.0123250i
\(515\) −2.72946 11.2510i −0.120274 0.495777i
\(516\) −1.55669 4.49776i −0.0685294 0.198003i
\(517\) −33.3905 21.4588i −1.46851 0.943756i
\(518\) 10.5268 0.00503632i 0.462522 0.000221283i
\(519\) 27.0788 31.2506i 1.18863 1.37175i
\(520\) −3.17437 3.32919i −0.139205 0.145995i
\(521\) 19.4494 15.2952i 0.852095 0.670095i −0.0934364 0.995625i \(-0.529785\pi\)
0.945532 + 0.325530i \(0.105543\pi\)
\(522\) 8.69562 25.1243i 0.380597 1.09966i
\(523\) −20.3438 1.94260i −0.889574 0.0849440i −0.359747 0.933050i \(-0.617137\pi\)
−0.529827 + 0.848106i \(0.677743\pi\)
\(524\) 0.00996978 + 0.0339540i 0.000435532 + 0.00148329i
\(525\) −23.1764 + 18.2440i −1.01150 + 0.796235i
\(526\) −29.7018 4.27047i −1.29506 0.186201i
\(527\) −42.5441 + 2.02663i −1.85325 + 0.0882812i
\(528\) −5.69908 9.87109i −0.248021 0.429584i
\(529\) 22.0529 6.53222i 0.958821 0.284010i
\(530\) 3.58551 + 2.07009i 0.155745 + 0.0899192i
\(531\) 29.1411 + 45.3444i 1.26461 + 1.96778i
\(532\) −0.113137 + 1.19085i −0.00490512 + 0.0516297i
\(533\) −22.3875 + 49.0219i −0.969712 + 2.12337i
\(534\) −13.9493 3.38407i −0.603646 0.146443i
\(535\) 3.00046 + 2.13662i 0.129721 + 0.0923742i
\(536\) 10.6944 + 3.70136i 0.461926 + 0.159874i
\(537\) 13.9831 34.9282i 0.603417 1.50726i
\(538\) −2.61966 + 8.92175i −0.112942 + 0.384644i
\(539\) −2.83693 + 30.0132i −0.122195 + 1.29276i
\(540\) −1.27568 + 1.98500i −0.0548966 + 0.0854207i
\(541\) −21.0734 + 10.8641i −0.906018 + 0.467085i −0.847255 0.531187i \(-0.821746\pi\)
−0.0587636 + 0.998272i \(0.518716\pi\)
\(542\) 4.55437 23.6303i 0.195627 1.01501i
\(543\) −30.9914 + 7.51844i −1.32997 + 0.322647i
\(544\) 6.02748 + 2.41304i 0.258426 + 0.103458i
\(545\) 7.42466 6.43350i 0.318037 0.275581i
\(546\) −16.6455 32.2499i −0.712363 1.38017i
\(547\) −26.9219 + 7.90498i −1.15110 + 0.337992i −0.800967 0.598709i \(-0.795681\pi\)
−0.350130 + 0.936701i \(0.613862\pi\)
\(548\) 10.4698 7.45552i 0.447248 0.318484i
\(549\) −11.3355 + 4.53806i −0.483789 + 0.193680i
\(550\) 8.31273 16.1245i 0.354456 0.687549i
\(551\) 1.50086 2.59956i 0.0639387 0.110745i
\(552\) 9.96780 7.85793i 0.424258 0.334456i
\(553\) 9.09046 + 4.68096i 0.386566 + 0.199054i
\(554\) −0.656237 + 0.421738i −0.0278808 + 0.0179179i
\(555\) 7.34636 + 5.77724i 0.311836 + 0.245230i
\(556\) −1.22888 12.8694i −0.0521162 0.545786i
\(557\) −2.29042 + 2.40212i −0.0970480 + 0.101781i −0.770467 0.637480i \(-0.779977\pi\)
0.673419 + 0.739261i \(0.264825\pi\)
\(558\) −2.49716 + 26.1514i −0.105713 + 1.10708i
\(559\) 6.10379 + 7.04415i 0.258163 + 0.297936i
\(560\) −1.77390 + 1.53858i −0.0749611 + 0.0650169i
\(561\) 71.0056 + 20.8491i 2.99786 + 0.880250i
\(562\) −13.8931 + 4.80844i −0.586044 + 0.202832i
\(563\) 2.00969 42.1886i 0.0846984 1.77804i −0.413042 0.910712i \(-0.635534\pi\)
0.497740 0.867326i \(-0.334163\pi\)
\(564\) 1.16060 24.3640i 0.0488701 1.02591i
\(565\) 0.0106199 0.00367557i 0.000446781 0.000154632i
\(566\) 26.3514 + 7.73747i 1.10763 + 0.325230i
\(567\) 9.94822 8.62852i 0.417786 0.362364i
\(568\) 2.49784 + 2.88266i 0.104807 + 0.120954i
\(569\) −0.179308 + 1.87780i −0.00751699 + 0.0787215i −0.998452 0.0556210i \(-0.982286\pi\)
0.990935 + 0.134342i \(0.0428922\pi\)
\(570\) −0.732874 + 0.768616i −0.0306967 + 0.0321938i
\(571\) −2.87700 30.1293i −0.120399 1.26087i −0.830598 0.556872i \(-0.812001\pi\)
0.710200 0.704000i \(-0.248605\pi\)
\(572\) 17.5458 + 13.7982i 0.733627 + 0.576931i
\(573\) −43.3684 + 27.8712i −1.81174 + 1.16434i
\(574\) 24.4582 + 12.5943i 1.02087 + 0.525676i
\(575\) 19.0982 + 6.58458i 0.796450 + 0.274596i
\(576\) 2.00226 3.46802i 0.0834276 0.144501i
\(577\) 2.31636 4.49312i 0.0964315 0.187051i −0.835686 0.549208i \(-0.814929\pi\)
0.932117 + 0.362157i \(0.117960\pi\)
\(578\) −23.3515 + 9.34855i −0.971296 + 0.388848i
\(579\) 35.8433 25.5239i 1.48960 1.06074i
\(580\) 5.65374 1.66009i 0.234759 0.0689314i
\(581\) −13.5359 26.2253i −0.561566 1.08801i
\(582\) −2.27466 + 1.97101i −0.0942877 + 0.0817008i
\(583\) −18.6510 7.46674i −0.772447 0.309241i
\(584\) 1.50396 0.364856i 0.0622342 0.0150979i
\(585\) 3.48617 18.0880i 0.144136 0.747846i
\(586\) −13.7740 + 7.10101i −0.569000 + 0.293340i
\(587\) 20.0639 31.2201i 0.828126 1.28859i −0.126855 0.991921i \(-0.540488\pi\)
0.954981 0.296668i \(-0.0958755\pi\)
\(588\) −16.8447 + 7.71220i −0.694663 + 0.318046i
\(589\) −0.835623 + 2.84587i −0.0344313 + 0.117262i
\(590\) −4.43994 + 11.0904i −0.182789 + 0.456586i
\(591\) −13.7597 4.76228i −0.565999 0.195894i
\(592\) −3.24101 2.30791i −0.133205 0.0948545i
\(593\) −19.7058 4.78059i −0.809222 0.196315i −0.190258 0.981734i \(-0.560932\pi\)
−0.618964 + 0.785419i \(0.712447\pi\)
\(594\) 4.75639 10.4150i 0.195157 0.427335i
\(595\) 1.44194 15.1774i 0.0591136 0.622212i
\(596\) 1.32881 + 2.06767i 0.0544302 + 0.0846950i
\(597\) 7.00411 + 4.04383i 0.286659 + 0.165503i
\(598\) −12.4027 + 21.5411i −0.507184 + 0.880881i
\(599\) 17.8706 + 30.9528i 0.730173 + 1.26470i 0.956809 + 0.290718i \(0.0938940\pi\)
−0.226636 + 0.973980i \(0.572773\pi\)
\(600\) 11.1356 0.530456i 0.454611 0.0216558i
\(601\) 20.2121 + 2.90606i 0.824470 + 0.118541i 0.541620 0.840623i \(-0.317811\pi\)
0.282850 + 0.959164i \(0.408720\pi\)
\(602\) 3.73862 2.94298i 0.152375 0.119947i
\(603\) 12.7676 + 43.4826i 0.519939 + 1.77075i
\(604\) −15.9572 1.52373i −0.649291 0.0619998i
\(605\) 2.19097 6.33040i 0.0890757 0.257367i
\(606\) 13.0965 10.2992i 0.532009 0.418377i
\(607\) −7.47568 7.84026i −0.303428 0.318226i 0.554313 0.832308i \(-0.312981\pi\)
−0.857741 + 0.514082i \(0.828133\pi\)
\(608\) 0.296079 0.341693i 0.0120076 0.0138575i
\(609\) 46.4889 0.0222416i 1.88383 0.000901274i
\(610\) −2.27657 1.46306i −0.0921755 0.0592376i
\(611\) 15.6230 + 45.1398i 0.632040 + 1.82616i
\(612\) 6.12964 + 25.2667i 0.247776 + 1.02135i
\(613\) 4.39079 + 5.58334i 0.177342 + 0.225509i 0.866595 0.499012i \(-0.166304\pi\)
−0.689253 + 0.724521i \(0.742061\pi\)
\(614\) 0.0947892 + 0.491813i 0.00382538 + 0.0198480i
\(615\) 10.1462 + 22.2170i 0.409133 + 0.895877i
\(616\) 7.45767 8.61494i 0.300478 0.347106i
\(617\) 22.9690 + 10.4896i 0.924696 + 0.422294i 0.820100 0.572220i \(-0.193918\pi\)
0.104596 + 0.994515i \(0.466645\pi\)
\(618\) −21.3410 + 27.1373i −0.858461 + 1.09162i
\(619\) 0.756536 + 0.390021i 0.0304077 + 0.0156763i 0.473363 0.880867i \(-0.343040\pi\)
−0.442956 + 0.896544i \(0.646070\pi\)
\(620\) −5.04230 + 2.91118i −0.202504 + 0.116916i
\(621\) 12.2379 + 3.57760i 0.491090 + 0.143564i
\(622\) 3.65114i 0.146397i
\(623\) −1.37082 14.2837i −0.0549208 0.572263i
\(624\) −1.95216 + 13.5776i −0.0781490 + 0.543538i
\(625\) 8.00760 + 11.2451i 0.320304 + 0.449804i
\(626\) 15.8006 + 15.0658i 0.631518 + 0.602152i
\(627\) 2.98926 4.19782i 0.119379 0.167645i
\(628\) −14.9931 + 2.88969i −0.598292 + 0.115311i
\(629\) 25.5694 3.67633i 1.01952 0.146585i
\(630\) −9.13935 2.21255i −0.364120 0.0881502i
\(631\) −8.48210 7.34978i −0.337667 0.292590i 0.469477 0.882945i \(-0.344442\pi\)
−0.807144 + 0.590355i \(0.798988\pi\)
\(632\) −1.77088 3.43502i −0.0704418 0.136638i
\(633\) 45.3815 + 2.16179i 1.80375 + 0.0859233i
\(634\) −0.868716 0.167431i −0.0345011 0.00664955i
\(635\) −5.03788 + 4.80361i −0.199922 + 0.190625i
\(636\) −1.75702 12.2203i −0.0696704 0.484568i
\(637\) 25.0113 26.2814i 0.990985 1.04131i
\(638\) −26.0089 + 11.8779i −1.02970 + 0.470250i
\(639\) −3.60110 + 14.8439i −0.142457 + 0.587217i
\(640\) 0.883511 0.0843651i 0.0349238 0.00333482i
\(641\) 4.18261 + 10.4477i 0.165203 + 0.412657i 0.987751 0.156038i \(-0.0498724\pi\)
−0.822548 + 0.568696i \(0.807448\pi\)
\(642\) −0.522643 10.9716i −0.0206271 0.433016i
\(643\) 16.0813 0.634184 0.317092 0.948395i \(-0.397294\pi\)
0.317092 + 0.948395i \(0.397294\pi\)
\(644\) 10.6857 + 6.84218i 0.421076 + 0.269619i
\(645\) 4.22422 0.166329
\(646\) 0.139674 + 2.93212i 0.00549540 + 0.115363i
\(647\) 9.19778 + 22.9750i 0.361602 + 0.903239i 0.991916 + 0.126898i \(0.0405021\pi\)
−0.630314 + 0.776341i \(0.717074\pi\)
\(648\) −4.95482 + 0.473128i −0.194644 + 0.0185862i
\(649\) 13.6665 56.3343i 0.536459 2.21131i
\(650\) −19.8591 + 9.06936i −0.778939 + 0.355730i
\(651\) −44.6360 + 10.8512i −1.74942 + 0.425292i
\(652\) 1.20001 + 8.34623i 0.0469959 + 0.326863i
\(653\) 14.9714 14.2752i 0.585875 0.558630i −0.338087 0.941115i \(-0.609780\pi\)
0.923962 + 0.382484i \(0.124931\pi\)
\(654\) −28.7664 5.54426i −1.12485 0.216798i
\(655\) −0.0313718 0.00149442i −0.00122580 5.83919e-5i
\(656\) −4.76462 9.24207i −0.186027 0.360842i
\(657\) 4.68363 + 4.05839i 0.182726 + 0.158333i
\(658\) 23.3927 6.88088i 0.911943 0.268245i
\(659\) −28.8352 + 4.14587i −1.12326 + 0.161500i −0.678817 0.734308i \(-0.737507\pi\)
−0.444442 + 0.895808i \(0.646598\pi\)
\(660\) 9.93339 1.91450i 0.386657 0.0745220i
\(661\) −12.1755 + 17.0981i −0.473572 + 0.665039i −0.980402 0.197007i \(-0.936878\pi\)
0.506830 + 0.862046i \(0.330817\pi\)
\(662\) −5.91745 5.64227i −0.229988 0.219293i
\(663\) −51.6597 72.5459i −2.00630 2.81745i
\(664\) −1.58747 + 11.0411i −0.0616060 + 0.428479i
\(665\) −0.965941 0.440572i −0.0374576 0.0170846i
\(666\) 15.9331i 0.617394i
\(667\) −17.2459 26.7652i −0.667763 1.03635i
\(668\) 3.40622 1.96658i 0.131791 0.0760893i
\(669\) −22.9442 11.8285i −0.887073 0.457318i
\(670\) −6.20877 + 7.89510i −0.239866 + 0.305014i
\(671\) 11.9449 + 5.45504i 0.461127 + 0.210590i
\(672\) 6.87636 + 1.32190i 0.265261 + 0.0509933i
\(673\) 12.2149 + 26.7468i 0.470848 + 1.03101i 0.984879 + 0.173242i \(0.0554242\pi\)
−0.514031 + 0.857771i \(0.671849\pi\)
\(674\) −5.95239 30.8839i −0.229278 1.18960i
\(675\) 6.92259 + 8.80279i 0.266451 + 0.338820i
\(676\) −3.26830 13.4721i −0.125704 0.518158i
\(677\) 9.40724 + 27.1804i 0.361550 + 1.04463i 0.968312 + 0.249745i \(0.0803469\pi\)
−0.606762 + 0.794884i \(0.707532\pi\)
\(678\) −0.0281916 0.0181177i −0.00108269 0.000695804i
\(679\) −2.60645 1.50317i −0.100026 0.0576864i
\(680\) −3.77353 + 4.35489i −0.144708 + 0.167002i
\(681\) −28.1044 29.4751i −1.07696 1.12949i
\(682\) 22.2082 17.4647i 0.850395 0.668758i
\(683\) −14.2774 + 41.2519i −0.546311 + 1.57846i 0.246596 + 0.969118i \(0.420688\pi\)
−0.792907 + 0.609343i \(0.791433\pi\)
\(684\) 1.80235 + 0.172103i 0.0689144 + 0.00658053i
\(685\) 3.21386 + 10.9454i 0.122795 + 0.418203i
\(686\) −12.7997 13.3854i −0.488694 0.511056i
\(687\) 5.88937 + 0.846764i 0.224693 + 0.0323060i
\(688\) −1.79631 + 0.0855690i −0.0684838 + 0.00326229i
\(689\) 12.0888 + 20.9384i 0.460547 + 0.797691i
\(690\) 3.69710 + 10.6412i 0.140746 + 0.405103i
\(691\) 16.1224 + 9.30828i 0.613325 + 0.354103i 0.774266 0.632861i \(-0.218119\pi\)
−0.160941 + 0.986964i \(0.551453\pi\)
\(692\) −8.44694 13.1437i −0.321105 0.499649i
\(693\) 45.4249 + 4.31562i 1.72555 + 0.163937i
\(694\) 7.14310 15.6412i 0.271148 0.593732i
\(695\) 11.1505 + 2.70509i 0.422964 + 0.102610i
\(696\) −14.3131 10.1923i −0.542535 0.386337i
\(697\) 63.7964 + 22.0801i 2.41646 + 0.836345i
\(698\) −4.62097 + 11.5426i −0.174906 + 0.436894i
\(699\) 5.67937 19.3421i 0.214813 0.731587i
\(700\) 4.14701 + 10.3444i 0.156742 + 0.390981i
\(701\) −15.1364 + 23.5527i −0.571694 + 0.889573i −0.999900 0.0141079i \(-0.995509\pi\)
0.428207 + 0.903681i \(0.359146\pi\)
\(702\) −12.2475 + 6.31403i −0.462253 + 0.238308i
\(703\) 0.340443 1.76639i 0.0128401 0.0666206i
\(704\) −4.18531 + 1.01534i −0.157740 + 0.0382672i
\(705\) 20.0976 + 8.04585i 0.756918 + 0.303024i
\(706\) 18.3557 15.9053i 0.690827 0.598605i
\(707\) 14.0160 + 8.99806i 0.527126 + 0.338407i
\(708\) 34.1803 10.0363i 1.28458 0.377186i
\(709\) 22.5462 16.0551i 0.846741 0.602962i −0.0721849 0.997391i \(-0.522997\pi\)
0.918926 + 0.394430i \(0.129058\pi\)
\(710\) −3.14282 + 1.25819i −0.117948 + 0.0472192i
\(711\) 7.09153 13.7556i 0.265953 0.515877i
\(712\) −2.71176 + 4.69691i −0.101628 + 0.176024i
\(713\) 22.7955 + 21.6839i 0.853699 + 0.812068i
\(714\) −38.2338 + 24.5972i −1.43086 + 0.920528i
\(715\) −16.6660 + 10.7106i −0.623273 + 0.400553i
\(716\) −11.1742 8.78752i −0.417601 0.328405i
\(717\) 5.95091 + 62.3208i 0.222241 + 2.32741i
\(718\) −10.8967 + 11.4281i −0.406661 + 0.426494i
\(719\) −2.84043 + 29.7463i −0.105930 + 1.10935i 0.773655 + 0.633608i \(0.218427\pi\)
−0.879585 + 0.475742i \(0.842179\pi\)
\(720\) 2.32746 + 2.68604i 0.0867394 + 0.100103i
\(721\) −32.6196 11.2723i −1.21482 0.419801i
\(722\) −18.0342 5.29533i −0.671165 0.197072i
\(723\) −14.5266 + 5.02771i −0.540251 + 0.186983i
\(724\) −0.573340 + 12.0359i −0.0213080 + 0.447310i
\(725\) 1.33067 27.9343i 0.0494200 1.03745i
\(726\) −18.8772 + 6.53346i −0.700598 + 0.242479i
\(727\) 39.6911 + 11.6543i 1.47206 + 0.432236i 0.916768 0.399420i \(-0.130788\pi\)
0.555292 + 0.831656i \(0.312607\pi\)
\(728\) −13.4637 + 2.60160i −0.498999 + 0.0964217i
\(729\) −26.8759 31.0164i −0.995403 1.14876i
\(730\) −0.130562 + 1.36730i −0.00483231 + 0.0506062i
\(731\) 8.05729 8.45024i 0.298010 0.312544i
\(732\) 0.767078 + 8.03321i 0.0283520 + 0.296916i
\(733\) 7.35091 + 5.78082i 0.271512 + 0.213520i 0.744626 0.667482i \(-0.232628\pi\)
−0.473114 + 0.881001i \(0.656870\pi\)
\(734\) 6.39886 4.11230i 0.236186 0.151788i
\(735\) −1.57863 16.3666i −0.0582286 0.603692i
\(736\) −1.78771 4.45018i −0.0658960 0.164036i
\(737\) 24.3690 42.2084i 0.897644 1.55477i
\(738\) 19.0800 37.0101i 0.702346 1.36236i
\(739\) 11.7543 4.70570i 0.432388 0.173102i −0.145250 0.989395i \(-0.546399\pi\)
0.577638 + 0.816293i \(0.303974\pi\)
\(740\) 2.87649 2.04834i 0.105742 0.0752984i
\(741\) −5.95066 + 1.74727i −0.218603 + 0.0641877i
\(742\) 10.9673 5.66069i 0.402623 0.207810i
\(743\) 23.9539 20.7562i 0.878783 0.761470i −0.0934157 0.995627i \(-0.529779\pi\)
0.972199 + 0.234157i \(0.0752331\pi\)
\(744\) 16.1185 + 6.45288i 0.590933 + 0.236574i
\(745\) −2.11992 + 0.514287i −0.0776678 + 0.0188420i
\(746\) 6.38061 33.1058i 0.233611 1.21209i
\(747\) −39.7035 + 20.4686i −1.45268 + 0.748907i
\(748\) 15.1172 23.5228i 0.552738 0.860077i
\(749\) 10.1920 4.08592i 0.372408 0.149296i
\(750\) −6.09645 + 20.7626i −0.222611 + 0.758143i
\(751\) 12.6578 31.6178i 0.461891 1.15375i −0.496435 0.868074i \(-0.665358\pi\)
0.958327 0.285675i \(-0.0922177\pi\)
\(752\) −8.70930 3.01432i −0.317596 0.109921i
\(753\) −35.9138 25.5741i −1.30877 0.931972i
\(754\) 33.4403 + 8.11252i 1.21782 + 0.295440i
\(755\) 5.91009 12.9413i 0.215090 0.470982i
\(756\) 2.92507 + 6.39691i 0.106384 + 0.232653i
\(757\) −3.71722 5.78411i −0.135105 0.210227i 0.767108 0.641517i \(-0.221695\pi\)
−0.902213 + 0.431290i \(0.858058\pi\)
\(758\) 3.54318 + 2.04565i 0.128694 + 0.0743015i
\(759\) −25.1060 48.5572i −0.911290 1.76252i
\(760\) 0.200637 + 0.347513i 0.00727787 + 0.0126056i
\(761\) 21.3541 1.01722i 0.774087 0.0368743i 0.343179 0.939270i \(-0.388496\pi\)
0.430908 + 0.902396i \(0.358193\pi\)
\(762\) 20.5462 + 2.95410i 0.744312 + 0.107016i
\(763\) −4.18175 28.9862i −0.151389 1.04937i
\(764\) 5.48775 + 18.6896i 0.198540 + 0.676165i
\(765\) −22.9709 2.19346i −0.830516 0.0793047i
\(766\) 5.83207 16.8506i 0.210721 0.608839i
\(767\) −54.8370 + 43.1243i −1.98005 + 1.55713i
\(768\) −1.82637 1.91544i −0.0659034 0.0691175i
\(769\) −16.4916 + 19.0323i −0.594701 + 0.686321i −0.970699 0.240299i \(-0.922754\pi\)
0.375998 + 0.926620i \(0.377300\pi\)
\(770\) 5.06066 + 8.75564i 0.182373 + 0.315531i
\(771\) −0.791465 0.508644i −0.0285039 0.0183184i
\(772\) −5.43783 15.7116i −0.195712 0.565472i
\(773\) 1.88434 + 7.76734i 0.0677749 + 0.279372i 0.995608 0.0936249i \(-0.0298454\pi\)
−0.927833 + 0.372997i \(0.878330\pi\)
\(774\) −4.45170 5.66079i −0.160013 0.203473i
\(775\) 5.22965 + 27.1340i 0.187855 + 0.974682i
\(776\) 0.472424 + 1.03446i 0.0169590 + 0.0371351i
\(777\) 26.3237 9.12483i 0.944357 0.327351i
\(778\) 25.1819 + 11.5002i 0.902815 + 0.412302i
\(779\) 2.90607 3.69537i 0.104121 0.132400i
\(780\) −10.8211 5.57865i −0.387456 0.199748i
\(781\) 14.2263 8.21355i 0.509057 0.293904i
\(782\) 28.3387 + 12.9012i 1.01339 + 0.461347i
\(783\) 17.6507i 0.630784i
\(784\) 1.00283 + 6.92779i 0.0358155 + 0.247421i
\(785\) 1.92862 13.4138i 0.0688353 0.478760i
\(786\) 0.0543261 + 0.0762904i 0.00193775 + 0.00272119i
\(787\) 2.93261 + 2.79624i 0.104536 + 0.0996750i 0.740545 0.672007i \(-0.234567\pi\)
−0.636009 + 0.771682i \(0.719416\pi\)
\(788\) −3.19123 + 4.48146i −0.113683 + 0.159645i
\(789\) −77.9821 + 15.0298i −2.77624 + 0.535076i
\(790\) 3.39507 0.488137i 0.120791 0.0173671i
\(791\) 0.00788249 0.0325601i 0.000280269 0.00115770i
\(792\) −13.0339 11.2939i −0.463139 0.401312i
\(793\) −7.24148 14.0465i −0.257152 0.498806i
\(794\) 7.85236 + 0.374054i 0.278670 + 0.0132747i
\(795\) 10.7594 + 2.07371i 0.381598 + 0.0735470i
\(796\) 2.21163 2.10878i 0.0783891 0.0747438i
\(797\) 0.535439 + 3.72406i 0.0189662 + 0.131913i 0.997105 0.0760421i \(-0.0242283\pi\)
−0.978138 + 0.207955i \(0.933319\pi\)
\(798\) 0.747860 + 3.07629i 0.0264739 + 0.108900i
\(799\) 54.4293 24.8570i 1.92557 0.879378i
\(800\) 0.993085 4.09355i 0.0351109 0.144729i
\(801\) −21.6203 + 2.06449i −0.763916 + 0.0729451i
\(802\) 2.19923 + 5.49340i 0.0776574 + 0.193979i
\(803\) −0.317132 6.65743i −0.0111914 0.234936i
\(804\) 29.9511 1.05629
\(805\) −8.84052 + 6.97612i −0.311587 + 0.245876i
\(806\) −34.0010 −1.19763
\(807\) 1.17095 + 24.5813i 0.0412195 + 0.865304i
\(808\) −2.33972 5.84433i −0.0823109 0.205603i
\(809\) −46.2529 + 4.41662i −1.62616 + 0.155280i −0.867925 0.496696i \(-0.834547\pi\)
−0.758240 + 0.651975i \(0.773941\pi\)
\(810\) 1.04148 4.29303i 0.0365938 0.150842i
\(811\) −34.2846 + 15.6573i −1.20390 + 0.549801i −0.913395 0.407074i \(-0.866549\pi\)
−0.290500 + 0.956875i \(0.593822\pi\)
\(812\) 4.94071 16.8563i 0.173385 0.591541i
\(813\) −9.06419 63.0428i −0.317895 2.21101i
\(814\) −12.4015 + 11.8248i −0.434671 + 0.414458i
\(815\) −7.34846 1.41630i −0.257405 0.0496108i
\(816\) 17.1638 + 0.817612i 0.600853 + 0.0286221i
\(817\) −0.372574 0.722693i −0.0130347 0.0252838i
\(818\) 22.6268 + 19.6063i 0.791129 + 0.685517i
\(819\) −39.7606 37.8754i −1.38935 1.32347i
\(820\) 9.13456 1.31335i 0.318993 0.0458642i
\(821\) 28.1079 5.41735i 0.980972 0.189067i 0.326536 0.945185i \(-0.394118\pi\)
0.654436 + 0.756118i \(0.272906\pi\)
\(822\) 19.7318 27.7095i 0.688226 0.966479i
\(823\) −33.5106 31.9523i −1.16811 1.11379i −0.991581 0.129491i \(-0.958666\pi\)
−0.176526 0.984296i \(-0.556486\pi\)
\(824\) 7.56651 + 10.6257i 0.263592 + 0.370163i
\(825\) 6.83287 47.5237i 0.237890 1.65456i
\(826\) 20.6708 + 28.9987i 0.719228 + 1.00899i
\(827\) 22.1826i 0.771365i −0.922632 0.385682i \(-0.873966\pi\)
0.922632 0.385682i \(-0.126034\pi\)
\(828\) 10.3638 16.1686i 0.360168 0.561898i
\(829\) −19.3858 + 11.1924i −0.673298 + 0.388729i −0.797325 0.603550i \(-0.793752\pi\)
0.124027 + 0.992279i \(0.460419\pi\)
\(830\) −8.79956 4.53649i −0.305437 0.157464i
\(831\) −1.27621 + 1.62284i −0.0442714 + 0.0562956i
\(832\) 4.71457 + 2.15307i 0.163448 + 0.0746443i
\(833\) −35.7513 28.0598i −1.23871 0.972216i
\(834\) −14.2135 31.1233i −0.492175 1.07771i
\(835\) 0.660638 + 3.42772i 0.0228623 + 0.118621i
\(836\) −1.20366 1.53058i −0.0416294 0.0529361i
\(837\) 4.11182 + 16.9491i 0.142125 + 0.585848i
\(838\) −3.01948 8.72423i −0.104306 0.301373i
\(839\) 5.62053 + 3.61209i 0.194042 + 0.124703i 0.634054 0.773288i \(-0.281390\pi\)
−0.440012 + 0.897992i \(0.645026\pi\)
\(840\) −3.10478 + 5.38359i −0.107125 + 0.185751i
\(841\) −9.87404 + 11.3952i −0.340484 + 0.392939i
\(842\) −22.8529 23.9674i −0.787562 0.825972i
\(843\) −30.5849 + 24.0523i −1.05340 + 0.828404i
\(844\) 5.61461 16.2223i 0.193263 0.558396i
\(845\) 12.2480 + 1.16954i 0.421344 + 0.0402335i
\(846\) −10.3977 35.4115i −0.357482 1.21747i
\(847\) −12.3518 15.6911i −0.424412 0.539152i
\(848\) −4.61736 0.663877i −0.158561 0.0227976i
\(849\) 72.6037 3.45854i 2.49175 0.118697i
\(850\) 13.6743 + 23.6845i 0.469024 + 0.812373i
\(851\) −15.0131 11.7776i −0.514641 0.403730i
\(852\) 8.74250 + 5.04749i 0.299513 + 0.172924i
\(853\) 13.6960 + 21.3114i 0.468943 + 0.729690i 0.992493 0.122305i \(-0.0390287\pi\)
−0.523549 + 0.851995i \(0.675392\pi\)
\(854\) −7.33653 + 3.35472i −0.251051 + 0.114796i
\(855\) −0.667535 + 1.46170i −0.0228292 + 0.0499890i
\(856\) −4.03326 0.978458i −0.137854 0.0334430i
\(857\) −6.52671 4.64765i −0.222948 0.158761i 0.463126 0.886293i \(-0.346728\pi\)
−0.686074 + 0.727532i \(0.740667\pi\)
\(858\) 55.8268 + 19.3219i 1.90590 + 0.659637i
\(859\) 15.9776 39.9101i 0.545149 1.36172i −0.358536 0.933516i \(-0.616724\pi\)
0.903684 0.428199i \(-0.140852\pi\)
\(860\) 0.449670 1.53144i 0.0153336 0.0522216i
\(861\) 72.0731 + 10.3273i 2.45624 + 0.351955i
\(862\) −12.6963 + 19.7558i −0.432437 + 0.672884i
\(863\) −22.9703 + 11.8420i −0.781917 + 0.403106i −0.802478 0.596682i \(-0.796485\pi\)
0.0205602 + 0.999789i \(0.493455\pi\)
\(864\) 0.503140 2.61054i 0.0171172 0.0888123i
\(865\) 13.4758 3.26920i 0.458192 0.111156i
\(866\) 30.5725 + 12.2394i 1.03890 + 0.415912i
\(867\) −50.3110 + 43.5947i −1.70865 + 1.48055i
\(868\) −0.817566 + 17.3373i −0.0277500 + 0.588467i
\(869\) −15.9697 + 4.68911i −0.541733 + 0.159067i
\(870\) 12.7033 9.04595i 0.430681 0.306686i
\(871\) −54.4527 + 21.7996i −1.84506 + 0.738650i
\(872\) −5.07220 + 9.83869i −0.171766 + 0.333180i
\(873\) −2.27704 + 3.94395i −0.0770661 + 0.133482i
\(874\) 1.49444 1.57106i 0.0505503 0.0531418i
\(875\) −21.6071 + 1.03964i −0.730455 + 0.0351461i
\(876\) 3.44564 2.21438i 0.116417 0.0748169i
\(877\) −25.3557 19.9399i −0.856201 0.673324i 0.0903389 0.995911i \(-0.471205\pi\)
−0.946540 + 0.322587i \(0.895447\pi\)
\(878\) 1.57587 + 16.5033i 0.0531832 + 0.556959i
\(879\) −28.3027 + 29.6830i −0.954626 + 1.00118i
\(880\) 0.363336 3.80502i 0.0122480 0.128267i
\(881\) −14.0874 16.2578i −0.474618 0.547738i 0.467072 0.884219i \(-0.345309\pi\)
−0.941690 + 0.336481i \(0.890763\pi\)
\(882\) −20.2690 + 19.3635i −0.682491 + 0.652002i
\(883\) −8.40140 2.46687i −0.282730 0.0830169i 0.137293 0.990530i \(-0.456160\pi\)
−0.420023 + 0.907514i \(0.637978\pi\)
\(884\) −31.7998 + 11.0060i −1.06954 + 0.370172i
\(885\) −1.50439 + 31.5810i −0.0505694 + 1.06158i
\(886\) −0.446999 + 9.38367i −0.0150172 + 0.315250i
\(887\) 24.0228 8.31439i 0.806608 0.279170i 0.107518 0.994203i \(-0.465710\pi\)
0.699090 + 0.715033i \(0.253588\pi\)
\(888\) −10.1037 2.96671i −0.339057 0.0995562i
\(889\) 3.93686 + 20.3739i 0.132038 + 0.683320i
\(890\) −3.15220 3.63783i −0.105662 0.121940i
\(891\) −2.03762 + 21.3389i −0.0682629 + 0.714881i
\(892\) −6.73070 + 7.05896i −0.225361 + 0.236351i
\(893\) −0.396085 4.14799i −0.0132545 0.138807i
\(894\) 5.11323 + 4.02109i 0.171012 + 0.134485i
\(895\) 10.6139 6.82116i 0.354784 0.228006i
\(896\) 1.21123 2.35222i 0.0404643 0.0785821i
\(897\) −12.3733 + 64.6113i −0.413132 + 2.15731i
\(898\) −17.8963 + 30.9973i −0.597207 + 1.03439i
\(899\) 19.9575 38.7122i 0.665621 1.29113i
\(900\) 15.6599 6.26929i 0.521997 0.208976i
\(901\) 24.6709 17.5681i 0.821907 0.585277i
\(902\) −42.9670 + 12.6162i −1.43064 + 0.420075i
\(903\) 6.80296 10.5968i 0.226388 0.352638i
\(904\) −0.00956933 + 0.00829187i −0.000318271 + 0.000275784i
\(905\) −9.92827 3.97468i −0.330027 0.132123i
\(906\) −41.2287 + 10.0020i −1.36973 + 0.332294i
\(907\) −9.00883 + 46.7423i −0.299133 + 1.55205i 0.452071 + 0.891982i \(0.350685\pi\)
−0.751204 + 0.660070i \(0.770527\pi\)
\(908\) −13.6775 + 7.05127i −0.453905 + 0.234004i
\(909\) 13.6293 21.2076i 0.452056 0.703413i
\(910\) 1.72628 12.0474i 0.0572256 0.399369i
\(911\) −1.76649 + 6.01611i −0.0585264 + 0.199323i −0.983566 0.180547i \(-0.942213\pi\)
0.925040 + 0.379870i \(0.124031\pi\)
\(912\) 0.444730 1.11088i 0.0147265 0.0367849i
\(913\) 45.3977 + 15.7123i 1.50245 + 0.520001i
\(914\) 28.7654 + 20.4837i 0.951474 + 0.677542i
\(915\) −6.96025 1.68854i −0.230099 0.0558214i
\(916\) 0.933910 2.04498i 0.0308572 0.0675679i
\(917\) −0.0542721 + 0.0762917i −0.00179222 + 0.00251937i
\(918\) 9.33201 + 14.5209i 0.308002 + 0.479261i
\(919\) 36.9179 + 21.3145i 1.21781 + 0.703102i 0.964449 0.264270i \(-0.0851310\pi\)
0.253360 + 0.967372i \(0.418464\pi\)
\(920\) 4.25138 0.207577i 0.140164 0.00684360i
\(921\) 0.662795 + 1.14799i 0.0218398 + 0.0378277i
\(922\) −23.2920 + 1.10954i −0.767082 + 0.0365406i
\(923\) −19.5681 2.81347i −0.644092 0.0926065i
\(924\) 11.1947 28.0019i 0.368279 0.921194i
\(925\) −4.72176 16.0808i −0.155250 0.528734i
\(926\) 24.8093 + 2.36900i 0.815284 + 0.0778502i
\(927\) −17.0850 + 49.3638i −0.561144 + 1.62132i
\(928\) −5.21871 + 4.10404i −0.171313 + 0.134722i
\(929\) −12.7182 13.3385i −0.417272 0.437622i 0.481228 0.876595i \(-0.340191\pi\)
−0.898500 + 0.438973i \(0.855342\pi\)
\(930\) −10.0911 + 11.6457i −0.330899 + 0.381878i
\(931\) −2.66082 + 1.71361i −0.0872049 + 0.0561611i
\(932\) −6.40768 4.11796i −0.209890 0.134888i
\(933\) −3.16050 9.13166i −0.103470 0.298957i
\(934\) 1.07759 + 4.44188i 0.0352597 + 0.145343i
\(935\) 15.3407 + 19.5072i 0.501694 + 0.637955i
\(936\) 3.92795 + 20.3801i 0.128389 + 0.666146i
\(937\) −4.95131 10.8419i −0.161752 0.354188i 0.811350 0.584560i \(-0.198733\pi\)
−0.973103 + 0.230372i \(0.926006\pi\)
\(938\) 9.80640 + 28.2899i 0.320190 + 0.923699i
\(939\) 52.5593 + 24.0030i 1.71521 + 0.783309i
\(940\) 5.05632 6.42963i 0.164919 0.209711i
\(941\) −42.4036 21.8606i −1.38232 0.712634i −0.403044 0.915180i \(-0.632048\pi\)
−0.979273 + 0.202546i \(0.935078\pi\)
\(942\) −34.9972 + 20.2056i −1.14027 + 0.658335i
\(943\) −20.7693 45.3358i −0.676340 1.47634i
\(944\) 13.4600i 0.438086i
\(945\) −6.21429 + 0.596393i −0.202151 + 0.0194007i
\(946\) −1.10222 + 7.66614i −0.0358364 + 0.249248i
\(947\) 12.3073 + 17.2832i 0.399933 + 0.561628i 0.964609 0.263685i \(-0.0849381\pi\)
−0.564676 + 0.825313i \(0.690999\pi\)
\(948\) −7.40247 7.05824i −0.240421 0.229241i
\(949\) −4.65265 + 6.53373i −0.151031 + 0.212094i
\(950\) 1.87006 0.360425i 0.0606729 0.0116937i
\(951\) −2.31763 + 0.333225i −0.0751543 + 0.0108056i
\(952\) 4.84740 + 16.4796i 0.157105 + 0.534106i
\(953\) 10.8624 + 9.41228i 0.351866 + 0.304894i 0.812802 0.582540i \(-0.197941\pi\)
−0.460936 + 0.887433i \(0.652486\pi\)
\(954\) −8.55990 16.6039i −0.277137 0.537571i
\(955\) −17.2682 0.822588i −0.558787 0.0266183i
\(956\) 23.2271 + 4.47665i 0.751217 + 0.144785i
\(957\) −54.7677 + 52.2209i −1.77039 + 1.68806i
\(958\) −0.457127 3.17939i −0.0147691 0.102721i
\(959\) 32.6332 + 9.56500i 1.05378 + 0.308870i
\(960\) 2.13667 0.975786i 0.0689608 0.0314933i
\(961\) −2.83758 + 11.6966i −0.0915347 + 0.377311i
\(962\) 20.5283 1.96022i 0.661860 0.0632000i
\(963\) −6.17694 15.4293i −0.199049 0.497201i
\(964\) 0.276366 + 5.80164i 0.00890115 + 0.186858i
\(965\) 14.7561 0.475014
\(966\) 32.6482 + 7.86281i 1.05044 + 0.252982i
\(967\) 16.7916 0.539980 0.269990 0.962863i \(-0.412980\pi\)
0.269990 + 0.962863i \(0.412980\pi\)
\(968\) 0.359135 + 7.53917i 0.0115430 + 0.242318i
\(969\) 2.88743 + 7.21246i 0.0927577 + 0.231698i
\(970\) −1.00476 + 0.0959427i −0.0322608 + 0.00308054i
\(971\) −8.59031 + 35.4097i −0.275676 + 1.13635i 0.650574 + 0.759443i \(0.274528\pi\)
−0.926250 + 0.376909i \(0.876987\pi\)
\(972\) −19.2377 + 8.78555i −0.617048 + 0.281797i
\(973\) 24.7435 23.6155i 0.793239 0.757077i
\(974\) 1.89620 + 13.1884i 0.0607582 + 0.422582i
\(975\) −41.8180 + 39.8734i −1.33925 + 1.27697i
\(976\) 2.99399 + 0.577045i 0.0958354 + 0.0184708i
\(977\) 39.3501 + 1.87447i 1.25892 + 0.0599697i 0.666405 0.745590i \(-0.267832\pi\)
0.592515 + 0.805560i \(0.298135\pi\)
\(978\) 10.2259 + 19.8355i 0.326989 + 0.634271i
\(979\) 17.6525 + 15.2959i 0.564175 + 0.488860i
\(980\) −6.10156 1.16992i −0.194907 0.0373719i
\(981\) −43.8757 + 6.30837i −1.40084 + 0.201411i
\(982\) 13.4558 2.59340i 0.429393 0.0827587i
\(983\) −13.4367 + 18.8692i −0.428564 + 0.601835i −0.971238 0.238109i \(-0.923473\pi\)
0.542674 + 0.839943i \(0.317412\pi\)
\(984\) −19.9166 18.9905i −0.634920 0.605395i
\(985\) −2.83231 3.97743i −0.0902450 0.126731i
\(986\) 6.13447 42.6662i 0.195361 1.35877i
\(987\) 52.5500 37.4586i 1.67269 1.19232i
\(988\) 2.34333i 0.0745514i
\(989\) −8.62458 + 0.0102382i −0.274246 + 0.000325555i
\(990\) 13.2559 7.65331i 0.421301 0.243238i
\(991\) −5.87493 3.02874i −0.186623 0.0962110i 0.362383 0.932029i \(-0.381963\pi\)
−0.549006 + 0.835818i \(0.684994\pi\)
\(992\) 4.05523 5.15665i 0.128754 0.163724i
\(993\) −19.6839 8.98932i −0.624649 0.285267i
\(994\) −1.90513 + 9.91025i −0.0604270 + 0.314334i
\(995\) 1.12667 + 2.46707i 0.0357180 + 0.0782114i
\(996\) 5.58708 + 28.9885i 0.177033 + 0.918536i
\(997\) −12.6333 16.0645i −0.400101 0.508769i 0.543702 0.839278i \(-0.317022\pi\)
−0.943803 + 0.330509i \(0.892780\pi\)
\(998\) −6.41727 26.4523i −0.203135 0.837334i
\(999\) −3.45968 9.99610i −0.109460 0.316263i
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 322.2.o.a.103.2 160
7.3 odd 6 inner 322.2.o.a.241.7 yes 160
23.21 odd 22 inner 322.2.o.a.159.7 yes 160
161.136 even 66 inner 322.2.o.a.297.2 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.o.a.103.2 160 1.1 even 1 trivial
322.2.o.a.159.7 yes 160 23.21 odd 22 inner
322.2.o.a.241.7 yes 160 7.3 odd 6 inner
322.2.o.a.297.2 yes 160 161.136 even 66 inner