Properties

Label 441.2.z.a.142.48
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
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] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.48
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.48

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.809145 - 2.06167i) q^{2} +(1.12335 - 1.31836i) q^{3} +(-2.12965 - 1.97603i) q^{4} +(0.273168 - 0.131551i) q^{5} +(-1.80907 - 3.38272i) q^{6} +(2.25571 - 1.38268i) q^{7} +(-1.80624 + 0.869840i) q^{8} +(-0.476161 - 2.96197i) q^{9} +O(q^{10})\) \(q+(0.809145 - 2.06167i) q^{2} +(1.12335 - 1.31836i) q^{3} +(-2.12965 - 1.97603i) q^{4} +(0.273168 - 0.131551i) q^{5} +(-1.80907 - 3.38272i) q^{6} +(2.25571 - 1.38268i) q^{7} +(-1.80624 + 0.869840i) q^{8} +(-0.476161 - 2.96197i) q^{9} +(-0.0501815 - 0.669625i) q^{10} +(2.70649 + 3.39383i) q^{11} +(-4.99747 + 0.587879i) q^{12} +(-0.884005 + 2.25241i) q^{13} +(-1.02543 - 5.76930i) q^{14} +(0.133432 - 0.507912i) q^{15} +(-0.102400 - 1.36643i) q^{16} +(-0.427834 + 0.396972i) q^{17} +(-6.49188 - 1.41498i) q^{18} +(-3.54066 + 6.13261i) q^{19} +(-0.841701 - 0.259630i) q^{20} +(0.711082 - 4.52707i) q^{21} +(9.18688 - 2.83378i) q^{22} +(-1.73550 + 7.60372i) q^{23} +(-0.882280 + 3.35842i) q^{24} +(-3.06013 + 3.83729i) q^{25} +(3.92843 + 3.64505i) q^{26} +(-4.43985 - 2.69958i) q^{27} +(-7.53608 - 1.51272i) q^{28} +(-7.33301 - 2.26193i) q^{29} +(-0.939180 - 0.686067i) q^{30} +(3.13731 - 5.43398i) q^{31} +(-6.73140 - 2.07636i) q^{32} +(7.51463 + 0.244330i) q^{33} +(0.472244 + 1.20326i) q^{34} +(0.434294 - 0.674443i) q^{35} +(-4.83888 + 7.24888i) q^{36} +(9.26901 + 2.85911i) q^{37} +(9.77849 + 12.2618i) q^{38} +(1.97644 + 3.69569i) q^{39} +(-0.378979 + 0.475225i) q^{40} +(-6.84662 - 4.66795i) q^{41} +(-8.75794 - 5.12907i) q^{42} +(7.64202 - 5.21024i) q^{43} +(0.942424 - 12.5758i) q^{44} +(-0.519722 - 0.746476i) q^{45} +(14.2721 + 9.73054i) q^{46} +(-2.33174 + 5.94117i) q^{47} +(-1.91648 - 1.39998i) q^{48} +(3.17641 - 6.23782i) q^{49} +(5.43512 + 9.41390i) q^{50} +(0.0427449 + 1.00998i) q^{51} +(6.33345 - 3.05003i) q^{52} +(5.06147 - 1.56126i) q^{53} +(-9.15812 + 6.96914i) q^{54} +(1.18579 + 0.571045i) q^{55} +(-2.87164 + 4.45955i) q^{56} +(4.10759 + 11.5570i) q^{57} +(-10.5968 + 13.2880i) q^{58} +(-6.52391 + 4.44793i) q^{59} +(-1.28781 + 0.818011i) q^{60} +(0.637498 - 0.591512i) q^{61} +(-8.66452 - 10.8650i) q^{62} +(-5.16953 - 6.02296i) q^{63} +(-8.01876 + 10.0552i) q^{64} +(0.0548242 + 0.731578i) q^{65} +(6.58415 - 15.2950i) q^{66} +(3.88796 - 6.73415i) q^{67} +1.69556 q^{68} +(8.07489 + 10.8297i) q^{69} +(-1.03907 - 1.44109i) q^{70} +(0.974466 - 4.26942i) q^{71} +(3.43650 + 4.93585i) q^{72} +(5.06434 + 0.763327i) q^{73} +(13.3945 - 16.7962i) q^{74} +(1.62133 + 8.34499i) q^{75} +(19.6586 - 6.06388i) q^{76} +(10.7976 + 3.91328i) q^{77} +(9.21851 - 1.08442i) q^{78} +(-1.66074 - 2.87649i) q^{79} +(-0.207727 - 0.359794i) q^{80} +(-8.54654 + 2.82075i) q^{81} +(-15.1637 + 10.3384i) q^{82} +(-0.997458 - 2.54148i) q^{83} +(-10.4600 + 8.23597i) q^{84} +(-0.0646485 + 0.164722i) q^{85} +(-4.55828 - 19.9711i) q^{86} +(-11.2196 + 7.12662i) q^{87} +(-7.84066 - 3.77586i) q^{88} +(-1.95844 - 4.99001i) q^{89} +(-1.95952 + 0.467486i) q^{90} +(1.12030 + 6.30306i) q^{91} +(18.7212 - 12.7639i) q^{92} +(-3.63965 - 10.2404i) q^{93} +(10.3620 + 9.61453i) q^{94} +(-0.160447 + 2.14101i) q^{95} +(-10.2991 + 6.54195i) q^{96} +(1.87614 - 3.24957i) q^{97} +(-10.2901 - 11.5960i) q^{98} +(8.76369 - 9.63254i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.809145 2.06167i 0.572152 1.45782i −0.292903 0.956142i \(-0.594621\pi\)
0.865055 0.501677i \(-0.167283\pi\)
\(3\) 1.12335 1.31836i 0.648567 0.761157i
\(4\) −2.12965 1.97603i −1.06483 0.988014i
\(5\) 0.273168 0.131551i 0.122164 0.0588313i −0.371803 0.928312i \(-0.621260\pi\)
0.493968 + 0.869480i \(0.335546\pi\)
\(6\) −1.80907 3.38272i −0.738550 1.38099i
\(7\) 2.25571 1.38268i 0.852576 0.522602i
\(8\) −1.80624 + 0.869840i −0.638603 + 0.307535i
\(9\) −0.476161 2.96197i −0.158720 0.987324i
\(10\) −0.0501815 0.669625i −0.0158688 0.211754i
\(11\) 2.70649 + 3.39383i 0.816037 + 1.02328i 0.999192 + 0.0401935i \(0.0127974\pi\)
−0.183155 + 0.983084i \(0.558631\pi\)
\(12\) −4.99747 + 0.587879i −1.44265 + 0.169706i
\(13\) −0.884005 + 2.25241i −0.245179 + 0.624706i −0.999494 0.0318067i \(-0.989874\pi\)
0.754315 + 0.656513i \(0.227969\pi\)
\(14\) −1.02543 5.76930i −0.274057 1.54191i
\(15\) 0.133432 0.507912i 0.0344520 0.131142i
\(16\) −0.102400 1.36643i −0.0256000 0.341608i
\(17\) −0.427834 + 0.396972i −0.103765 + 0.0962798i −0.730349 0.683074i \(-0.760643\pi\)
0.626585 + 0.779353i \(0.284452\pi\)
\(18\) −6.49188 1.41498i −1.53015 0.333513i
\(19\) −3.54066 + 6.13261i −0.812284 + 1.40692i 0.0989775 + 0.995090i \(0.468443\pi\)
−0.911262 + 0.411828i \(0.864891\pi\)
\(20\) −0.841701 0.259630i −0.188210 0.0580551i
\(21\) 0.711082 4.52707i 0.155171 0.987888i
\(22\) 9.18688 2.83378i 1.95865 0.604164i
\(23\) −1.73550 + 7.60372i −0.361877 + 1.58549i 0.386550 + 0.922268i \(0.373667\pi\)
−0.748427 + 0.663217i \(0.769190\pi\)
\(24\) −0.882280 + 3.35842i −0.180095 + 0.685534i
\(25\) −3.06013 + 3.83729i −0.612027 + 0.767457i
\(26\) 3.92843 + 3.64505i 0.770428 + 0.714853i
\(27\) −4.43985 2.69958i −0.854449 0.519535i
\(28\) −7.53608 1.51272i −1.42418 0.285877i
\(29\) −7.33301 2.26193i −1.36171 0.420030i −0.474033 0.880507i \(-0.657202\pi\)
−0.887672 + 0.460476i \(0.847679\pi\)
\(30\) −0.939180 0.686067i −0.171470 0.125258i
\(31\) 3.13731 5.43398i 0.563478 0.975972i −0.433712 0.901052i \(-0.642796\pi\)
0.997190 0.0749201i \(-0.0238702\pi\)
\(32\) −6.73140 2.07636i −1.18996 0.367053i
\(33\) 7.51463 + 0.244330i 1.30813 + 0.0425324i
\(34\) 0.472244 + 1.20326i 0.0809892 + 0.206357i
\(35\) 0.434294 0.674443i 0.0734091 0.114002i
\(36\) −4.83888 + 7.24888i −0.806480 + 1.20815i
\(37\) 9.26901 + 2.85911i 1.52382 + 0.470035i 0.939805 0.341711i \(-0.111006\pi\)
0.584011 + 0.811746i \(0.301483\pi\)
\(38\) 9.77849 + 12.2618i 1.58628 + 1.98913i
\(39\) 1.97644 + 3.69569i 0.316484 + 0.591784i
\(40\) −0.378979 + 0.475225i −0.0599219 + 0.0751397i
\(41\) −6.84662 4.66795i −1.06926 0.729011i −0.105137 0.994458i \(-0.533528\pi\)
−0.964125 + 0.265447i \(0.914480\pi\)
\(42\) −8.75794 5.12907i −1.35138 0.791433i
\(43\) 7.64202 5.21024i 1.16540 0.794554i 0.183324 0.983053i \(-0.441314\pi\)
0.982073 + 0.188498i \(0.0603620\pi\)
\(44\) 0.942424 12.5758i 0.142076 1.89587i
\(45\) −0.519722 0.746476i −0.0774755 0.111278i
\(46\) 14.2721 + 9.73054i 2.10430 + 1.43469i
\(47\) −2.33174 + 5.94117i −0.340119 + 0.866608i 0.653818 + 0.756652i \(0.273166\pi\)
−0.993936 + 0.109956i \(0.964929\pi\)
\(48\) −1.91648 1.39998i −0.276621 0.202070i
\(49\) 3.17641 6.23782i 0.453773 0.891117i
\(50\) 5.43512 + 9.41390i 0.768642 + 1.33133i
\(51\) 0.0427449 + 1.00998i 0.00598549 + 0.141425i
\(52\) 6.33345 3.05003i 0.878292 0.422963i
\(53\) 5.06147 1.56126i 0.695247 0.214455i 0.0730639 0.997327i \(-0.476722\pi\)
0.622183 + 0.782872i \(0.286246\pi\)
\(54\) −9.15812 + 6.96914i −1.24626 + 0.948380i
\(55\) 1.18579 + 0.571045i 0.159891 + 0.0769996i
\(56\) −2.87164 + 4.45955i −0.383739 + 0.595932i
\(57\) 4.10759 + 11.5570i 0.544064 + 1.53076i
\(58\) −10.5968 + 13.2880i −1.39143 + 1.74480i
\(59\) −6.52391 + 4.44793i −0.849341 + 0.579071i −0.907887 0.419214i \(-0.862306\pi\)
0.0585468 + 0.998285i \(0.481353\pi\)
\(60\) −1.28781 + 0.818011i −0.166256 + 0.105605i
\(61\) 0.637498 0.591512i 0.0816233 0.0757354i −0.638306 0.769783i \(-0.720365\pi\)
0.719929 + 0.694047i \(0.244174\pi\)
\(62\) −8.66452 10.8650i −1.10040 1.37985i
\(63\) −5.16953 6.02296i −0.651299 0.758821i
\(64\) −8.01876 + 10.0552i −1.00234 + 1.25690i
\(65\) 0.0548242 + 0.731578i 0.00680010 + 0.0907410i
\(66\) 6.58415 15.2950i 0.810453 1.88268i
\(67\) 3.88796 6.73415i 0.474990 0.822707i −0.524599 0.851349i \(-0.675785\pi\)
0.999590 + 0.0286419i \(0.00911825\pi\)
\(68\) 1.69556 0.205617
\(69\) 8.07489 + 10.8297i 0.972102 + 1.30374i
\(70\) −1.03907 1.44109i −0.124193 0.172243i
\(71\) 0.974466 4.26942i 0.115648 0.506686i −0.883612 0.468220i \(-0.844896\pi\)
0.999260 0.0384666i \(-0.0122473\pi\)
\(72\) 3.43650 + 4.93585i 0.404996 + 0.581696i
\(73\) 5.06434 + 0.763327i 0.592736 + 0.0893406i 0.438559 0.898703i \(-0.355489\pi\)
0.154178 + 0.988043i \(0.450727\pi\)
\(74\) 13.3945 16.7962i 1.55708 1.95252i
\(75\) 1.62133 + 8.34499i 0.187215 + 0.963596i
\(76\) 19.6586 6.06388i 2.25500 0.695574i
\(77\) 10.7976 + 3.91328i 1.23050 + 0.445960i
\(78\) 9.21851 1.08442i 1.04379 0.122787i
\(79\) −1.66074 2.87649i −0.186848 0.323630i 0.757350 0.653009i \(-0.226494\pi\)
−0.944198 + 0.329379i \(0.893160\pi\)
\(80\) −0.207727 0.359794i −0.0232246 0.0402262i
\(81\) −8.54654 + 2.82075i −0.949616 + 0.313417i
\(82\) −15.1637 + 10.3384i −1.67455 + 1.14169i
\(83\) −0.997458 2.54148i −0.109485 0.278964i 0.865622 0.500698i \(-0.166923\pi\)
−0.975107 + 0.221735i \(0.928828\pi\)
\(84\) −10.4600 + 8.23597i −1.14128 + 0.898618i
\(85\) −0.0646485 + 0.164722i −0.00701212 + 0.0178666i
\(86\) −4.55828 19.9711i −0.491532 2.15354i
\(87\) −11.2196 + 7.12662i −1.20287 + 0.764054i
\(88\) −7.84066 3.77586i −0.835817 0.402508i
\(89\) −1.95844 4.99001i −0.207594 0.528940i 0.788717 0.614756i \(-0.210746\pi\)
−0.996311 + 0.0858159i \(0.972650\pi\)
\(90\) −1.95952 + 0.467486i −0.206551 + 0.0492773i
\(91\) 1.12030 + 6.30306i 0.117439 + 0.660741i
\(92\) 18.7212 12.7639i 1.95182 1.33073i
\(93\) −3.63965 10.2404i −0.377415 1.06188i
\(94\) 10.3620 + 9.61453i 1.06876 + 0.991663i
\(95\) −0.160447 + 2.14101i −0.0164615 + 0.219663i
\(96\) −10.2991 + 6.54195i −1.05115 + 0.667685i
\(97\) 1.87614 3.24957i 0.190493 0.329944i −0.754921 0.655816i \(-0.772325\pi\)
0.945414 + 0.325872i \(0.105658\pi\)
\(98\) −10.2901 11.5960i −1.03946 1.17137i
\(99\) 8.76369 9.63254i 0.880784 0.968107i
\(100\) 14.0996 2.12517i 1.40996 0.212517i
\(101\) −9.29528 + 4.47637i −0.924915 + 0.445416i −0.834823 0.550518i \(-0.814430\pi\)
−0.0900918 + 0.995933i \(0.528716\pi\)
\(102\) 2.11683 + 0.729093i 0.209597 + 0.0721910i
\(103\) −12.1265 + 5.83982i −1.19486 + 0.575415i −0.922207 0.386697i \(-0.873616\pi\)
−0.272654 + 0.962112i \(0.587902\pi\)
\(104\) −0.362508 4.83734i −0.0355469 0.474340i
\(105\) −0.401295 1.33019i −0.0391624 0.129814i
\(106\) 0.876670 11.6984i 0.0851497 1.13624i
\(107\) −4.09908 10.4443i −0.396273 1.00969i −0.980223 0.197897i \(-0.936589\pi\)
0.583950 0.811790i \(-0.301506\pi\)
\(108\) 4.12088 + 14.5224i 0.396532 + 1.39742i
\(109\) 2.64482 6.73890i 0.253328 0.645469i −0.746473 0.665416i \(-0.768254\pi\)
0.999801 + 0.0199464i \(0.00634955\pi\)
\(110\) 2.13678 1.98264i 0.203734 0.189037i
\(111\) 14.1817 9.00813i 1.34607 0.855014i
\(112\) −2.12032 2.94068i −0.200351 0.277868i
\(113\) −1.79122 0.269983i −0.168504 0.0253978i 0.0642484 0.997934i \(-0.479535\pi\)
−0.232752 + 0.972536i \(0.574773\pi\)
\(114\) 27.1502 + 0.882761i 2.54285 + 0.0826781i
\(115\) 0.526193 + 2.30540i 0.0490677 + 0.214980i
\(116\) 11.1471 + 19.3074i 1.03498 + 1.79264i
\(117\) 7.09250 + 1.54589i 0.655702 + 0.142917i
\(118\) 3.89136 + 17.0491i 0.358228 + 1.56950i
\(119\) −0.416183 + 1.48701i −0.0381515 + 0.136314i
\(120\) 0.200792 + 1.03348i 0.0183297 + 0.0943431i
\(121\) −1.74526 + 7.64649i −0.158660 + 0.695136i
\(122\) −0.703673 1.79293i −0.0637075 0.162324i
\(123\) −13.8452 + 3.78258i −1.24838 + 0.341064i
\(124\) −17.4191 + 5.37308i −1.56428 + 0.482516i
\(125\) −0.668467 + 2.92875i −0.0597895 + 0.261955i
\(126\) −16.6002 + 5.78440i −1.47887 + 0.515315i
\(127\) −3.33146 14.5961i −0.295619 1.29519i −0.876579 0.481259i \(-0.840180\pi\)
0.580960 0.813932i \(-0.302677\pi\)
\(128\) 7.19779 + 12.4669i 0.636201 + 1.10193i
\(129\) 1.71569 15.9279i 0.151058 1.40237i
\(130\) 1.55263 + 0.478923i 0.136175 + 0.0420043i
\(131\) 3.80394 + 1.83188i 0.332352 + 0.160052i 0.592616 0.805485i \(-0.298095\pi\)
−0.260264 + 0.965538i \(0.583810\pi\)
\(132\) −15.5208 15.3695i −1.35091 1.33774i
\(133\) 0.492719 + 18.7290i 0.0427242 + 1.62401i
\(134\) −10.7376 13.4646i −0.927592 1.16316i
\(135\) −1.56796 0.153374i −0.134948 0.0132003i
\(136\) 0.427469 1.08917i 0.0366552 0.0933959i
\(137\) 8.35826 + 4.02513i 0.714094 + 0.343890i 0.755406 0.655257i \(-0.227439\pi\)
−0.0413120 + 0.999146i \(0.513154\pi\)
\(138\) 28.8609 7.88496i 2.45681 0.671212i
\(139\) 12.1480 + 8.28239i 1.03038 + 0.702503i 0.955591 0.294696i \(-0.0952185\pi\)
0.0747916 + 0.997199i \(0.476171\pi\)
\(140\) −2.25761 + 0.578150i −0.190803 + 0.0488626i
\(141\) 5.21325 + 9.74809i 0.439035 + 0.820937i
\(142\) −8.01363 5.46360i −0.672489 0.458495i
\(143\) −10.0368 + 3.09595i −0.839323 + 0.258897i
\(144\) −3.99857 + 0.953947i −0.333214 + 0.0794956i
\(145\) −2.30070 + 0.346775i −0.191063 + 0.0287981i
\(146\) 5.67151 9.82334i 0.469378 0.812986i
\(147\) −4.65548 11.1949i −0.383978 0.923342i
\(148\) −14.0901 24.4047i −1.15820 2.00606i
\(149\) 9.65734 + 12.1099i 0.791160 + 0.992084i 0.999900 + 0.0141126i \(0.00449232\pi\)
−0.208740 + 0.977971i \(0.566936\pi\)
\(150\) 18.5165 + 3.40966i 1.51186 + 0.278398i
\(151\) 1.92511 8.43446i 0.156663 0.686387i −0.834194 0.551471i \(-0.814067\pi\)
0.990857 0.134916i \(-0.0430763\pi\)
\(152\) 1.06090 14.1568i 0.0860507 1.14827i
\(153\) 1.37954 + 1.07821i 0.111529 + 0.0871680i
\(154\) 16.8047 19.0947i 1.35416 1.53869i
\(155\) 0.142168 1.89710i 0.0114192 0.152379i
\(156\) 3.09365 11.7760i 0.247690 0.942838i
\(157\) −15.6760 + 10.6877i −1.25108 + 0.852972i −0.993561 0.113302i \(-0.963857\pi\)
−0.257519 + 0.966273i \(0.582905\pi\)
\(158\) −7.27414 + 1.09640i −0.578699 + 0.0872249i
\(159\) 3.62751 8.42670i 0.287680 0.668281i
\(160\) −2.11195 + 0.318325i −0.166964 + 0.0251658i
\(161\) 6.59871 + 19.5514i 0.520051 + 1.54087i
\(162\) −1.09994 + 19.9025i −0.0864192 + 1.56369i
\(163\) −6.63784 + 4.52560i −0.519916 + 0.354472i −0.794670 0.607042i \(-0.792356\pi\)
0.274754 + 0.961515i \(0.411404\pi\)
\(164\) 5.35692 + 23.4702i 0.418306 + 1.83272i
\(165\) 2.08490 0.921813i 0.162309 0.0717630i
\(166\) −6.04678 −0.469321
\(167\) 7.03949 6.53169i 0.544732 0.505437i −0.359115 0.933293i \(-0.616921\pi\)
0.903847 + 0.427856i \(0.140731\pi\)
\(168\) 2.65344 + 8.79551i 0.204717 + 0.678588i
\(169\) 5.23779 + 4.85996i 0.402907 + 0.373843i
\(170\) 0.287291 + 0.266568i 0.0220343 + 0.0204448i
\(171\) 19.8505 + 7.56723i 1.51801 + 0.578681i
\(172\) −26.5704 4.00485i −2.02598 0.305367i
\(173\) −14.6265 + 4.51167i −1.11203 + 0.343016i −0.795735 0.605645i \(-0.792915\pi\)
−0.316295 + 0.948661i \(0.602439\pi\)
\(174\) 5.61444 + 28.8975i 0.425629 + 2.19072i
\(175\) −1.59704 + 12.8870i −0.120725 + 0.974163i
\(176\) 4.36029 4.04576i 0.328669 0.304960i
\(177\) −1.46467 + 13.5975i −0.110091 + 1.02205i
\(178\) −11.8724 −0.889874
\(179\) 11.1259 10.3233i 0.831590 0.771602i −0.144377 0.989523i \(-0.546118\pi\)
0.975967 + 0.217920i \(0.0699273\pi\)
\(180\) −0.368232 + 2.61672i −0.0274464 + 0.195039i
\(181\) 3.40371 4.26811i 0.252996 0.317246i −0.639073 0.769146i \(-0.720682\pi\)
0.892069 + 0.451899i \(0.149253\pi\)
\(182\) 13.9013 + 2.79041i 1.03043 + 0.206839i
\(183\) −0.0636926 1.50493i −0.00470829 0.111248i
\(184\) −3.47929 15.2438i −0.256497 1.12379i
\(185\) 2.90812 0.438328i 0.213809 0.0322265i
\(186\) −24.0573 0.782196i −1.76396 0.0573534i
\(187\) −2.50518 0.377595i −0.183197 0.0276125i
\(188\) 16.7057 8.04504i 1.21839 0.586745i
\(189\) −13.7476 + 0.0494122i −0.999994 + 0.00359421i
\(190\) 4.28423 + 2.06317i 0.310810 + 0.149678i
\(191\) 3.86811 + 2.63723i 0.279887 + 0.190824i 0.695125 0.718889i \(-0.255349\pi\)
−0.415238 + 0.909713i \(0.636302\pi\)
\(192\) 4.24852 + 21.8672i 0.306611 + 1.57813i
\(193\) 0.359581 4.79828i 0.0258832 0.345388i −0.969195 0.246295i \(-0.920787\pi\)
0.995078 0.0990930i \(-0.0315941\pi\)
\(194\) −5.18146 6.49735i −0.372007 0.466482i
\(195\) 1.02607 + 0.749541i 0.0734785 + 0.0536757i
\(196\) −19.0908 + 7.00771i −1.36363 + 0.500550i
\(197\) 3.21344 0.228948 0.114474 0.993426i \(-0.463482\pi\)
0.114474 + 0.993426i \(0.463482\pi\)
\(198\) −12.7680 25.8619i −0.907383 1.83793i
\(199\) −15.2587 10.4032i −1.08166 0.737463i −0.114959 0.993370i \(-0.536674\pi\)
−0.966701 + 0.255907i \(0.917626\pi\)
\(200\) 2.18952 9.59289i 0.154822 0.678320i
\(201\) −4.51050 12.6906i −0.318146 0.895123i
\(202\) 1.70756 + 22.7858i 0.120144 + 1.60320i
\(203\) −19.6686 + 5.03692i −1.38047 + 0.353523i
\(204\) 1.90472 2.23537i 0.133357 0.156507i
\(205\) −2.48435 0.374455i −0.173514 0.0261531i
\(206\) 2.22766 + 29.7261i 0.155209 + 2.07112i
\(207\) 23.3484 + 1.51990i 1.62282 + 0.105640i
\(208\) 3.16828 + 0.977286i 0.219681 + 0.0677626i
\(209\) −30.3958 + 4.58143i −2.10252 + 0.316904i
\(210\) −3.06712 0.248983i −0.211652 0.0171815i
\(211\) −0.163386 0.0246265i −0.0112480 0.00169536i 0.143416 0.989663i \(-0.454191\pi\)
−0.154664 + 0.987967i \(0.549429\pi\)
\(212\) −13.8643 6.67668i −0.952202 0.458556i
\(213\) −4.53397 6.08076i −0.310663 0.416647i
\(214\) −24.8494 −1.69867
\(215\) 1.40214 2.42858i 0.0956254 0.165628i
\(216\) 10.3676 + 1.01414i 0.705429 + 0.0690034i
\(217\) −0.436588 16.5953i −0.0296375 1.12657i
\(218\) −11.7533 10.9055i −0.796035 0.738613i
\(219\) 6.69538 5.81915i 0.452432 0.393222i
\(220\) −1.39691 3.55927i −0.0941798 0.239966i
\(221\) −0.515935 1.31458i −0.0347056 0.0884283i
\(222\) −7.09672 36.5268i −0.476300 2.45152i
\(223\) −10.8580 10.0748i −0.727106 0.674656i 0.227078 0.973877i \(-0.427083\pi\)
−0.954184 + 0.299221i \(0.903273\pi\)
\(224\) −18.0550 + 4.62369i −1.20635 + 0.308933i
\(225\) 12.8230 + 7.23686i 0.854870 + 0.482457i
\(226\) −2.00597 + 3.47444i −0.133435 + 0.231116i
\(227\) −0.910203 −0.0604123 −0.0302061 0.999544i \(-0.509616\pi\)
−0.0302061 + 0.999544i \(0.509616\pi\)
\(228\) 14.0891 32.7290i 0.933076 2.16753i
\(229\) 12.3195 + 5.93278i 0.814099 + 0.392049i 0.794127 0.607751i \(-0.207928\pi\)
0.0199713 + 0.999801i \(0.493643\pi\)
\(230\) 5.17873 + 0.780569i 0.341476 + 0.0514692i
\(231\) 17.2886 9.83917i 1.13751 0.647370i
\(232\) 15.2127 2.29295i 0.998763 0.150539i
\(233\) −20.3042 6.26302i −1.33017 0.410304i −0.453443 0.891285i \(-0.649804\pi\)
−0.876731 + 0.480981i \(0.840281\pi\)
\(234\) 8.92597 13.3715i 0.583509 0.874124i
\(235\) 0.144609 + 1.92968i 0.00943327 + 0.125878i
\(236\) 22.6829 + 3.41890i 1.47653 + 0.222551i
\(237\) −5.65785 1.04185i −0.367517 0.0676753i
\(238\) 2.72896 + 2.06124i 0.176892 + 0.133610i
\(239\) 1.83084 + 24.4309i 0.118427 + 1.58030i 0.667553 + 0.744562i \(0.267342\pi\)
−0.549126 + 0.835740i \(0.685039\pi\)
\(240\) −0.707691 0.130316i −0.0456812 0.00841184i
\(241\) −0.151209 + 0.662491i −0.00974025 + 0.0426748i −0.979565 0.201130i \(-0.935539\pi\)
0.969824 + 0.243805i \(0.0783957\pi\)
\(242\) 14.3524 + 9.78527i 0.922604 + 0.629021i
\(243\) −5.88200 + 14.4361i −0.377330 + 0.926079i
\(244\) −2.52650 −0.161742
\(245\) 0.0471043 2.12183i 0.00300939 0.135559i
\(246\) −3.40435 + 31.6049i −0.217053 + 2.01505i
\(247\) −10.6832 13.3963i −0.679755 0.852385i
\(248\) −0.940046 + 12.5440i −0.0596930 + 0.796547i
\(249\) −4.47109 1.53997i −0.283344 0.0975914i
\(250\) 5.49721 + 3.74794i 0.347674 + 0.237040i
\(251\) 5.41312 + 2.60682i 0.341673 + 0.164541i 0.596849 0.802354i \(-0.296419\pi\)
−0.255176 + 0.966895i \(0.582133\pi\)
\(252\) −0.892241 + 23.0419i −0.0562059 + 1.45151i
\(253\) −30.5028 + 14.6894i −1.91770 + 0.923514i
\(254\) −32.7878 4.94197i −2.05729 0.310087i
\(255\) 0.144540 + 0.270271i 0.00905145 + 0.0169250i
\(256\) 6.09183 0.918196i 0.380739 0.0573872i
\(257\) 1.80997 + 7.93001i 0.112903 + 0.494660i 0.999485 + 0.0320889i \(0.0102160\pi\)
−0.886582 + 0.462571i \(0.846927\pi\)
\(258\) −31.4498 16.4251i −1.95798 1.02258i
\(259\) 24.8614 6.36673i 1.54481 0.395609i
\(260\) 1.32886 1.66634i 0.0824125 0.103342i
\(261\) −3.20809 + 22.7972i −0.198576 + 1.41111i
\(262\) 6.85467 6.36021i 0.423483 0.392935i
\(263\) −2.80742 −0.173113 −0.0865564 0.996247i \(-0.527586\pi\)
−0.0865564 + 0.996247i \(0.527586\pi\)
\(264\) −13.7858 + 6.09521i −0.848456 + 0.375134i
\(265\) 1.17725 1.09233i 0.0723177 0.0671010i
\(266\) 39.0116 + 14.1386i 2.39195 + 0.866894i
\(267\) −8.77866 3.02361i −0.537245 0.185042i
\(268\) −21.5869 + 6.65867i −1.31863 + 0.406743i
\(269\) −23.5481 3.54931i −1.43576 0.216405i −0.615380 0.788231i \(-0.710997\pi\)
−0.820375 + 0.571825i \(0.806236\pi\)
\(270\) −1.58491 + 3.10850i −0.0964545 + 0.189177i
\(271\) 2.62672 + 2.43724i 0.159562 + 0.148052i 0.755913 0.654672i \(-0.227193\pi\)
−0.596352 + 0.802723i \(0.703384\pi\)
\(272\) 0.586245 + 0.543955i 0.0355463 + 0.0329821i
\(273\) 9.56821 + 5.60360i 0.579095 + 0.339145i
\(274\) 15.0615 13.9750i 0.909899 0.844263i
\(275\) −21.3053 −1.28476
\(276\) 4.20304 39.0197i 0.252993 2.34871i
\(277\) 0.199847 + 0.875589i 0.0120077 + 0.0526090i 0.980577 0.196135i \(-0.0628392\pi\)
−0.968569 + 0.248744i \(0.919982\pi\)
\(278\) 26.9050 18.3435i 1.61366 1.10017i
\(279\) −17.5892 6.70517i −1.05304 0.401428i
\(280\) −0.197783 + 1.59597i −0.0118198 + 0.0953776i
\(281\) 24.2431 3.65406i 1.44622 0.217983i 0.621453 0.783451i \(-0.286543\pi\)
0.824770 + 0.565468i \(0.191305\pi\)
\(282\) 24.3156 2.86037i 1.44797 0.170333i
\(283\) 12.0350 1.81398i 0.715407 0.107830i 0.218754 0.975780i \(-0.429801\pi\)
0.496652 + 0.867950i \(0.334563\pi\)
\(284\) −10.5118 + 7.16680i −0.623758 + 0.425271i
\(285\) 2.64239 + 2.61663i 0.156522 + 0.154996i
\(286\) −1.73843 + 23.1977i −0.102795 + 1.37171i
\(287\) −21.8982 1.06285i −1.29261 0.0627382i
\(288\) −2.94489 + 20.9269i −0.173529 + 1.23313i
\(289\) −1.24496 + 16.6128i −0.0732327 + 0.977223i
\(290\) −1.14667 + 5.02387i −0.0673346 + 0.295012i
\(291\) −2.17655 6.12384i −0.127591 0.358986i
\(292\) −9.27693 11.6329i −0.542891 0.680764i
\(293\) −4.68120 8.10808i −0.273479 0.473679i 0.696271 0.717779i \(-0.254841\pi\)
−0.969750 + 0.244099i \(0.921508\pi\)
\(294\) −26.8472 + 0.539732i −1.56576 + 0.0314778i
\(295\) −1.19700 + 2.07326i −0.0696917 + 0.120710i
\(296\) −19.2290 + 2.89831i −1.11767 + 0.168461i
\(297\) −2.85448 22.3745i −0.165634 1.29830i
\(298\) 32.7808 10.1115i 1.89894 0.585746i
\(299\) −15.5925 10.6308i −0.901738 0.614794i
\(300\) 13.0371 20.9757i 0.752696 1.21103i
\(301\) 10.0341 22.3192i 0.578354 1.28646i
\(302\) −15.8314 10.7936i −0.910993 0.621104i
\(303\) −4.54039 + 17.2831i −0.260839 + 0.992888i
\(304\) 8.74236 + 4.21010i 0.501408 + 0.241466i
\(305\) 0.0963303 0.245446i 0.00551586 0.0140542i
\(306\) 3.33915 1.97172i 0.190887 0.112716i
\(307\) 9.83418 + 12.3317i 0.561266 + 0.703806i 0.978791 0.204860i \(-0.0656738\pi\)
−0.417525 + 0.908665i \(0.637102\pi\)
\(308\) −15.2624 29.6703i −0.869655 1.69062i
\(309\) −5.92334 + 22.5473i −0.336967 + 1.28267i
\(310\) −3.79616 1.82814i −0.215608 0.103831i
\(311\) −14.2397 4.39235i −0.807457 0.249068i −0.136573 0.990630i \(-0.543609\pi\)
−0.670884 + 0.741562i \(0.734085\pi\)
\(312\) −6.78459 4.95612i −0.384102 0.280585i
\(313\) 14.6949 + 25.4524i 0.830606 + 1.43865i 0.897558 + 0.440896i \(0.145339\pi\)
−0.0669520 + 0.997756i \(0.521327\pi\)
\(314\) 9.35035 + 40.9666i 0.527671 + 2.31188i
\(315\) −2.20447 0.965224i −0.124208 0.0543842i
\(316\) −2.14722 + 9.40759i −0.120791 + 0.529218i
\(317\) 3.62998 1.11970i 0.203880 0.0628887i −0.191133 0.981564i \(-0.561216\pi\)
0.395013 + 0.918675i \(0.370740\pi\)
\(318\) −14.4379 14.2971i −0.809635 0.801744i
\(319\) −12.1701 31.0089i −0.681394 1.73616i
\(320\) −0.867698 + 3.80163i −0.0485058 + 0.212518i
\(321\) −18.3741 6.32853i −1.02554 0.353224i
\(322\) 45.6478 + 2.21556i 2.54385 + 0.123469i
\(323\) −0.919657 4.02928i −0.0511711 0.224195i
\(324\) 23.7751 + 10.8810i 1.32084 + 0.604499i
\(325\) −5.93796 10.2849i −0.329379 0.570501i
\(326\) 3.95931 + 17.3469i 0.219286 + 0.960755i
\(327\) −5.91325 11.0570i −0.327003 0.611453i
\(328\) 16.4270 + 2.47597i 0.907030 + 0.136713i
\(329\) 2.95500 + 16.6256i 0.162914 + 0.916596i
\(330\) −0.213486 5.04425i −0.0117520 0.277677i
\(331\) 17.5715 16.3039i 0.965815 0.896146i −0.0288206 0.999585i \(-0.509175\pi\)
0.994636 + 0.103439i \(0.0329847\pi\)
\(332\) −2.89780 + 7.38348i −0.159038 + 0.405221i
\(333\) 4.05506 28.8159i 0.222216 1.57910i
\(334\) −7.77021 19.7982i −0.425167 1.08331i
\(335\) 0.176184 2.35102i 0.00962599 0.128450i
\(336\) −6.25874 0.508073i −0.341443 0.0277177i
\(337\) 0.468699 + 6.25435i 0.0255317 + 0.340696i 0.995312 + 0.0967165i \(0.0308340\pi\)
−0.969780 + 0.243980i \(0.921547\pi\)
\(338\) 14.2578 6.86617i 0.775520 0.373471i
\(339\) −2.36810 + 2.05819i −0.128618 + 0.111786i
\(340\) 0.463174 0.223053i 0.0251191 0.0120967i
\(341\) 26.9331 4.05951i 1.45851 0.219835i
\(342\) 31.6631 34.8022i 1.71214 1.88189i
\(343\) −1.45983 18.4626i −0.0788236 0.996889i
\(344\) −9.27126 + 16.0583i −0.499873 + 0.865805i
\(345\) 3.63045 + 1.89606i 0.195457 + 0.102081i
\(346\) −2.53337 + 33.8055i −0.136195 + 1.81740i
\(347\) 6.69722 + 6.21411i 0.359526 + 0.333591i 0.839167 0.543873i \(-0.183043\pi\)
−0.479642 + 0.877464i \(0.659233\pi\)
\(348\) 37.9762 + 6.99303i 2.03574 + 0.374866i
\(349\) 10.2780 7.00745i 0.550171 0.375100i −0.256097 0.966651i \(-0.582437\pi\)
0.806267 + 0.591551i \(0.201484\pi\)
\(350\) 25.2764 + 13.7200i 1.35108 + 0.733363i
\(351\) 10.0054 7.61391i 0.534049 0.406401i
\(352\) −11.1716 28.4649i −0.595450 1.51718i
\(353\) 20.8380 + 10.0351i 1.10910 + 0.534113i 0.896507 0.443029i \(-0.146096\pi\)
0.212590 + 0.977142i \(0.431810\pi\)
\(354\) 26.8483 + 14.0220i 1.42697 + 0.745259i
\(355\) −0.295452 1.29446i −0.0156810 0.0687028i
\(356\) −5.68962 + 14.4969i −0.301549 + 0.768335i
\(357\) 1.49289 + 2.21911i 0.0790123 + 0.117448i
\(358\) −12.2808 31.2910i −0.649061 1.65378i
\(359\) −2.04991 + 1.39760i −0.108190 + 0.0737626i −0.616206 0.787585i \(-0.711331\pi\)
0.508016 + 0.861347i \(0.330379\pi\)
\(360\) 1.58806 + 0.896242i 0.0836980 + 0.0472361i
\(361\) −15.5726 26.9726i −0.819611 1.41961i
\(362\) −6.04534 10.4708i −0.317736 0.550335i
\(363\) 8.12031 + 10.8906i 0.426206 + 0.571608i
\(364\) 10.0692 15.6371i 0.527769 0.819606i
\(365\) 1.48383 0.457702i 0.0776673 0.0239572i
\(366\) −3.15420 1.08639i −0.164873 0.0567867i
\(367\) 10.6825 13.3954i 0.557623 0.699237i −0.420494 0.907295i \(-0.638143\pi\)
0.978116 + 0.208059i \(0.0667145\pi\)
\(368\) 10.5677 + 1.59282i 0.550878 + 0.0830316i
\(369\) −10.5662 + 22.5022i −0.550056 + 1.17142i
\(370\) 1.44940 6.35024i 0.0753507 0.330133i
\(371\) 9.25847 10.5201i 0.480676 0.546177i
\(372\) −12.4841 + 29.0005i −0.647270 + 1.50361i
\(373\) −23.1873 −1.20059 −0.600297 0.799777i \(-0.704951\pi\)
−0.600297 + 0.799777i \(0.704951\pi\)
\(374\) −2.80553 + 4.85932i −0.145070 + 0.251269i
\(375\) 3.11023 + 4.17129i 0.160611 + 0.215405i
\(376\) −0.956186 12.7594i −0.0493115 0.658017i
\(377\) 11.5772 14.5174i 0.596257 0.747683i
\(378\) −11.0220 + 28.3830i −0.566908 + 1.45987i
\(379\) 8.45257 + 10.5992i 0.434179 + 0.544444i 0.949999 0.312254i \(-0.101084\pi\)
−0.515819 + 0.856697i \(0.672512\pi\)
\(380\) 4.57239 4.24256i 0.234559 0.217639i
\(381\) −22.9853 12.0044i −1.17757 0.615006i
\(382\) 8.56696 5.84086i 0.438324 0.298844i
\(383\) 8.25635 10.3531i 0.421880 0.529020i −0.524788 0.851233i \(-0.675855\pi\)
0.946667 + 0.322213i \(0.104427\pi\)
\(384\) 24.5216 + 4.51546i 1.25136 + 0.230428i
\(385\) 3.46435 0.351450i 0.176560 0.0179116i
\(386\) −9.60151 4.62384i −0.488704 0.235347i
\(387\) −19.0714 20.1545i −0.969454 1.02451i
\(388\) −10.4168 + 3.21315i −0.528831 + 0.163123i
\(389\) 12.4525 5.99680i 0.631366 0.304050i −0.0906954 0.995879i \(-0.528909\pi\)
0.722062 + 0.691829i \(0.243195\pi\)
\(390\) 2.37554 1.50893i 0.120290 0.0764077i
\(391\) −2.27596 3.94207i −0.115100 0.199359i
\(392\) −0.311463 + 14.0300i −0.0157313 + 0.708621i
\(393\) 6.68825 2.95713i 0.337378 0.149167i
\(394\) 2.60013 6.62503i 0.130993 0.333764i
\(395\) −0.832065 0.567292i −0.0418657 0.0285436i
\(396\) −37.6978 + 3.19666i −1.89439 + 0.160638i
\(397\) 2.19871 29.3398i 0.110350 1.47252i −0.617383 0.786663i \(-0.711807\pi\)
0.727734 0.685860i \(-0.240574\pi\)
\(398\) −33.7944 + 23.0406i −1.69396 + 1.15492i
\(399\) 25.2451 + 20.3896i 1.26383 + 1.02076i
\(400\) 5.55675 + 3.78852i 0.277837 + 0.189426i
\(401\) −23.1720 + 29.0568i −1.15716 + 1.45103i −0.287220 + 0.957865i \(0.592731\pi\)
−0.869936 + 0.493164i \(0.835840\pi\)
\(402\) −29.8134 0.969350i −1.48696 0.0483468i
\(403\) 9.46615 + 11.8702i 0.471542 + 0.591295i
\(404\) 28.6412 + 8.83463i 1.42495 + 0.439539i
\(405\) −1.96357 + 1.89484i −0.0975705 + 0.0941555i
\(406\) −5.53031 + 44.6258i −0.274465 + 2.21474i
\(407\) 15.3831 + 39.1956i 0.762513 + 1.94285i
\(408\) −0.955728 1.78708i −0.0473156 0.0884739i
\(409\) −1.25190 0.386160i −0.0619024 0.0190944i 0.263649 0.964619i \(-0.415074\pi\)
−0.325552 + 0.945524i \(0.605550\pi\)
\(410\) −2.78220 + 4.81891i −0.137403 + 0.237989i
\(411\) 14.6958 6.49759i 0.724893 0.320502i
\(412\) 37.3649 + 11.5256i 1.84084 + 0.567823i
\(413\) −8.56598 + 19.0537i −0.421504 + 0.937570i
\(414\) 22.0258 46.9068i 1.08251 2.30534i
\(415\) −0.606807 0.563035i −0.0297870 0.0276383i
\(416\) 10.6274 13.3264i 0.521052 0.653378i
\(417\) 24.5657 6.71148i 1.20299 0.328663i
\(418\) −15.1492 + 66.3730i −0.740972 + 3.24641i
\(419\) 24.5591 7.57548i 1.19979 0.370086i 0.370462 0.928848i \(-0.379199\pi\)
0.829329 + 0.558761i \(0.188723\pi\)
\(420\) −1.77388 + 3.62582i −0.0865566 + 0.176922i
\(421\) 4.55462 + 1.40491i 0.221978 + 0.0684713i 0.403749 0.914870i \(-0.367707\pi\)
−0.181771 + 0.983341i \(0.558183\pi\)
\(422\) −0.182975 + 0.316922i −0.00890708 + 0.0154275i
\(423\) 18.7078 + 4.07758i 0.909606 + 0.198259i
\(424\) −7.78420 + 7.22268i −0.378034 + 0.350764i
\(425\) −0.214066 2.85651i −0.0103837 0.138561i
\(426\) −16.2051 + 4.42733i −0.785141 + 0.214505i
\(427\) 0.620139 2.21573i 0.0300106 0.107227i
\(428\) −11.9086 + 30.3426i −0.575623 + 1.46666i
\(429\) −7.19331 + 16.7100i −0.347296 + 0.806768i
\(430\) −3.87240 4.85583i −0.186743 0.234169i
\(431\) −0.741140 9.88983i −0.0356995 0.476376i −0.986189 0.165621i \(-0.947037\pi\)
0.950490 0.310755i \(-0.100582\pi\)
\(432\) −3.23415 + 6.34318i −0.155603 + 0.305187i
\(433\) −1.78481 + 0.859518i −0.0857724 + 0.0413058i −0.476278 0.879295i \(-0.658014\pi\)
0.390506 + 0.920600i \(0.372300\pi\)
\(434\) −34.5673 12.5279i −1.65929 0.601360i
\(435\) −2.12732 + 3.42271i −0.101997 + 0.164106i
\(436\) −18.9488 + 9.12527i −0.907483 + 0.437021i
\(437\) −40.4859 37.5654i −1.93670 1.79700i
\(438\) −6.57963 18.5122i −0.314387 0.884546i
\(439\) −7.16286 + 18.2507i −0.341865 + 0.871057i 0.651771 + 0.758416i \(0.274026\pi\)
−0.993636 + 0.112641i \(0.964069\pi\)
\(440\) −2.63853 −0.125787
\(441\) −19.9887 6.43823i −0.951844 0.306583i
\(442\) −3.12770 −0.148769
\(443\) 0.929591 2.36856i 0.0441662 0.112534i −0.907089 0.420940i \(-0.861700\pi\)
0.951255 + 0.308406i \(0.0997956\pi\)
\(444\) −48.0024 8.83927i −2.27809 0.419493i
\(445\) −1.19142 1.10548i −0.0564788 0.0524047i
\(446\) −29.5565 + 14.2337i −1.39954 + 0.673983i
\(447\) 26.8139 + 0.871824i 1.26825 + 0.0412359i
\(448\) −4.18486 + 33.7689i −0.197716 + 1.59543i
\(449\) 5.32044 2.56219i 0.251087 0.120917i −0.304107 0.952638i \(-0.598358\pi\)
0.555194 + 0.831721i \(0.312644\pi\)
\(450\) 25.2957 20.5812i 1.19245 0.970207i
\(451\) −2.68808 35.8700i −0.126577 1.68905i
\(452\) 3.28118 + 4.11447i 0.154334 + 0.193528i
\(453\) −8.95711 12.0129i −0.420842 0.564414i
\(454\) −0.736486 + 1.87654i −0.0345650 + 0.0880702i
\(455\) 1.13520 + 1.57442i 0.0532191 + 0.0738099i
\(456\) −17.4720 17.3017i −0.818202 0.810227i
\(457\) 2.31183 + 30.8492i 0.108143 + 1.44306i 0.742408 + 0.669948i \(0.233684\pi\)
−0.634265 + 0.773116i \(0.718697\pi\)
\(458\) 22.1997 20.5983i 1.03732 0.962497i
\(459\) 2.97117 0.607522i 0.138683 0.0283567i
\(460\) 3.43493 5.94947i 0.160154 0.277396i
\(461\) 12.1254 + 3.74018i 0.564735 + 0.174198i 0.563960 0.825802i \(-0.309277\pi\)
0.000774797 1.00000i \(0.499753\pi\)
\(462\) −6.29609 43.6047i −0.292920 2.02867i
\(463\) −33.0131 + 10.1832i −1.53425 + 0.473254i −0.942876 0.333143i \(-0.891891\pi\)
−0.591374 + 0.806397i \(0.701414\pi\)
\(464\) −2.33988 + 10.2517i −0.108626 + 0.475922i
\(465\) −2.34137 2.31855i −0.108578 0.107520i
\(466\) −29.3413 + 36.7929i −1.35921 + 1.70440i
\(467\) 2.76293 + 2.56362i 0.127853 + 0.118630i 0.741508 0.670944i \(-0.234111\pi\)
−0.613655 + 0.789574i \(0.710301\pi\)
\(468\) −12.0498 17.3072i −0.557004 0.800025i
\(469\) −0.541049 20.5660i −0.0249833 0.949652i
\(470\) 4.09536 + 1.26325i 0.188905 + 0.0582695i
\(471\) −3.51937 + 32.6727i −0.162164 + 1.50548i
\(472\) 7.91477 13.7088i 0.364307 0.630998i
\(473\) 38.3657 + 11.8342i 1.76406 + 0.544139i
\(474\) −6.72596 + 10.8216i −0.308934 + 0.497052i
\(475\) −12.6977 32.3532i −0.582609 1.48446i
\(476\) 3.82469 2.34442i 0.175305 0.107456i
\(477\) −7.03447 14.2485i −0.322086 0.652395i
\(478\) 51.8497 + 15.9935i 2.37155 + 0.731527i
\(479\) 0.471740 + 0.591543i 0.0215544 + 0.0270283i 0.792492 0.609883i \(-0.208783\pi\)
−0.770937 + 0.636911i \(0.780212\pi\)
\(480\) −1.95280 + 3.14191i −0.0891325 + 0.143408i
\(481\) −14.6337 + 18.3501i −0.667241 + 0.836694i
\(482\) 1.24349 + 0.847795i 0.0566393 + 0.0386160i
\(483\) 33.1885 + 13.2636i 1.51013 + 0.603515i
\(484\) 18.8265 12.8357i 0.855750 0.583440i
\(485\) 0.0850180 1.13449i 0.00386047 0.0515144i
\(486\) 25.0031 + 23.8076i 1.13416 + 1.07994i
\(487\) 9.73535 + 6.63745i 0.441151 + 0.300771i 0.763451 0.645866i \(-0.223504\pi\)
−0.322300 + 0.946638i \(0.604456\pi\)
\(488\) −0.636955 + 1.62294i −0.0288336 + 0.0734668i
\(489\) −1.49024 + 13.8349i −0.0673911 + 0.625637i
\(490\) −4.33640 1.81398i −0.195898 0.0819474i
\(491\) −4.12097 7.13773i −0.185977 0.322121i 0.757929 0.652338i \(-0.226212\pi\)
−0.943905 + 0.330217i \(0.892878\pi\)
\(492\) 36.9600 + 19.3029i 1.66628 + 0.870244i
\(493\) 4.03523 1.94326i 0.181738 0.0875203i
\(494\) −36.2629 + 11.1856i −1.63155 + 0.503265i
\(495\) 1.12679 3.78417i 0.0506455 0.170086i
\(496\) −7.74642 3.73048i −0.347825 0.167503i
\(497\) −3.70511 10.9779i −0.166197 0.492427i
\(498\) −6.79266 + 7.97185i −0.304386 + 0.357227i
\(499\) 5.94095 7.44972i 0.265954 0.333495i −0.630866 0.775892i \(-0.717300\pi\)
0.896820 + 0.442397i \(0.145872\pi\)
\(500\) 7.21089 4.91630i 0.322481 0.219864i
\(501\) −0.703316 16.6180i −0.0314219 0.742437i
\(502\) 9.75439 9.05075i 0.435360 0.403955i
\(503\) −17.1939 21.5605i −0.766638 0.961334i 0.233300 0.972405i \(-0.425047\pi\)
−0.999939 + 0.0110707i \(0.996476\pi\)
\(504\) 14.5764 + 6.38225i 0.649285 + 0.284288i
\(505\) −1.95030 + 2.44560i −0.0867874 + 0.108828i
\(506\) 5.60343 + 74.7725i 0.249103 + 3.32404i
\(507\) 12.2911 1.44586i 0.545866 0.0642131i
\(508\) −21.7474 + 37.6676i −0.964884 + 1.67123i
\(509\) −29.6394 −1.31374 −0.656872 0.754002i \(-0.728121\pi\)
−0.656872 + 0.754002i \(0.728121\pi\)
\(510\) 0.674162 0.0793053i 0.0298524 0.00351170i
\(511\) 12.4791 5.28050i 0.552043 0.233596i
\(512\) −3.37047 + 14.7670i −0.148955 + 0.652616i
\(513\) 32.2755 17.6696i 1.42500 0.780130i
\(514\) 17.8136 + 2.68496i 0.785723 + 0.118429i
\(515\) −2.54434 + 3.19050i −0.112117 + 0.140590i
\(516\) −35.1278 + 30.5306i −1.54641 + 1.34404i
\(517\) −26.4741 + 8.16618i −1.16433 + 0.359148i
\(518\) 6.99038 56.4075i 0.307140 2.47840i
\(519\) −10.4827 + 24.3512i −0.460138 + 1.06890i
\(520\) −0.735381 1.27372i −0.0322486 0.0558562i
\(521\) 18.5038 + 32.0494i 0.810664 + 1.40411i 0.912400 + 0.409300i \(0.134227\pi\)
−0.101735 + 0.994811i \(0.532440\pi\)
\(522\) 44.4044 + 25.0602i 1.94353 + 1.09686i
\(523\) 35.4595 24.1758i 1.55053 1.05714i 0.580471 0.814281i \(-0.302868\pi\)
0.970063 0.242855i \(-0.0780839\pi\)
\(524\) −4.48122 11.4180i −0.195763 0.498796i
\(525\) 15.1957 + 16.5821i 0.663193 + 0.723701i
\(526\) −2.27161 + 5.78796i −0.0990468 + 0.252367i
\(527\) 0.814889 + 3.57026i 0.0354971 + 0.155523i
\(528\) −0.435637 10.2932i −0.0189587 0.447956i
\(529\) −34.0824 16.4132i −1.48184 0.713618i
\(530\) −1.29945 3.31094i −0.0564445 0.143818i
\(531\) 16.2811 + 17.2057i 0.706538 + 0.746664i
\(532\) 35.9596 40.8598i 1.55905 1.77150i
\(533\) 16.5666 11.2949i 0.717578 0.489236i
\(534\) −13.3369 + 15.6521i −0.577143 + 0.677334i
\(535\) −2.49369 2.31381i −0.107812 0.100035i
\(536\) −1.16497 + 15.5454i −0.0503189 + 0.671459i
\(537\) −1.11159 26.2647i −0.0479687 1.13341i
\(538\) −26.3714 + 45.6765i −1.13695 + 1.96925i
\(539\) 29.7670 6.10238i 1.28216 0.262848i
\(540\) 3.03613 + 3.42496i 0.130654 + 0.147387i
\(541\) 8.97301 1.35246i 0.385780 0.0581470i 0.0467108 0.998908i \(-0.485126\pi\)
0.339069 + 0.940761i \(0.389888\pi\)
\(542\) 7.15017 3.44334i 0.307126 0.147904i
\(543\) −1.80336 9.28191i −0.0773897 0.398325i
\(544\) 3.70418 1.78384i 0.158815 0.0764814i
\(545\) −0.164026 2.18878i −0.00702612 0.0937570i
\(546\) 19.2948 15.1923i 0.825743 0.650172i
\(547\) 0.619278 8.26369i 0.0264784 0.353330i −0.968191 0.250213i \(-0.919499\pi\)
0.994669 0.103117i \(-0.0328816\pi\)
\(548\) −9.84643 25.0883i −0.420618 1.07172i
\(549\) −2.05559 1.60660i −0.0877306 0.0685679i
\(550\) −17.2391 + 43.9244i −0.735077 + 1.87294i
\(551\) 39.8353 36.9617i 1.69704 1.57462i
\(552\) −24.0053 12.5371i −1.02173 0.533616i
\(553\) −7.72339 4.19224i −0.328432 0.178272i
\(554\) 1.96688 + 0.296459i 0.0835647 + 0.0125953i
\(555\) 2.68896 4.32635i 0.114140 0.183643i
\(556\) −9.50485 41.6435i −0.403095 1.76608i
\(557\) 10.3115 + 17.8601i 0.436914 + 0.756757i 0.997450 0.0713730i \(-0.0227380\pi\)
−0.560536 + 0.828130i \(0.689405\pi\)
\(558\) −28.0560 + 30.8375i −1.18771 + 1.30546i
\(559\) 4.98001 + 21.8188i 0.210632 + 0.922838i
\(560\) −0.966051 0.524371i −0.0408231 0.0221587i
\(561\) −3.31201 + 2.87856i −0.139833 + 0.121533i
\(562\) 12.0827 52.9379i 0.509679 2.23305i
\(563\) −9.40798 23.9711i −0.396499 1.01026i −0.980150 0.198258i \(-0.936472\pi\)
0.583651 0.812005i \(-0.301624\pi\)
\(564\) 8.16010 31.0616i 0.343602 1.30793i
\(565\) −0.524820 + 0.161886i −0.0220793 + 0.00681058i
\(566\) 5.99823 26.2799i 0.252124 1.10463i
\(567\) −15.3783 + 18.1799i −0.645828 + 0.763483i
\(568\) 1.95359 + 8.55923i 0.0819707 + 0.359137i
\(569\) 10.4568 + 18.1117i 0.438371 + 0.759281i 0.997564 0.0697568i \(-0.0222223\pi\)
−0.559193 + 0.829037i \(0.688889\pi\)
\(570\) 7.53271 3.33049i 0.315510 0.139499i
\(571\) −1.21572 0.375000i −0.0508764 0.0156933i 0.269213 0.963081i \(-0.413237\pi\)
−0.320089 + 0.947388i \(0.603713\pi\)
\(572\) 27.4927 + 13.2398i 1.14953 + 0.553583i
\(573\) 7.82208 2.13703i 0.326772 0.0892759i
\(574\) −19.9101 + 44.2868i −0.831030 + 1.84850i
\(575\) −23.8668 29.9280i −0.995314 1.24808i
\(576\) 33.6014 + 18.9634i 1.40006 + 0.790143i
\(577\) −2.87348 + 7.32151i −0.119625 + 0.304798i −0.978126 0.208012i \(-0.933301\pi\)
0.858502 + 0.512811i \(0.171396\pi\)
\(578\) 33.2427 + 16.0088i 1.38271 + 0.665880i
\(579\) −5.92194 5.86422i −0.246107 0.243709i
\(580\) 5.58493 + 3.80774i 0.231902 + 0.158108i
\(581\) −5.76402 4.35367i −0.239132 0.180621i
\(582\) −14.3865 0.467761i −0.596338 0.0193893i
\(583\) 18.9974 + 12.9522i 0.786794 + 0.536427i
\(584\) −9.81140 + 3.02641i −0.405998 + 0.125234i
\(585\) 2.14081 0.510737i 0.0885114 0.0211164i
\(586\) −20.5039 + 3.09047i −0.847010 + 0.127666i
\(587\) 13.3505 23.1237i 0.551034 0.954419i −0.447166 0.894451i \(-0.647567\pi\)
0.998200 0.0599681i \(-0.0190999\pi\)
\(588\) −12.2070 + 33.0407i −0.503406 + 1.36257i
\(589\) 22.2163 + 38.4798i 0.915408 + 1.58553i
\(590\) 3.30582 + 4.14537i 0.136099 + 0.170662i
\(591\) 3.60982 4.23647i 0.148488 0.174265i
\(592\) 2.95763 12.9582i 0.121558 0.532580i
\(593\) 1.63451 21.8110i 0.0671212 0.895670i −0.857427 0.514605i \(-0.827938\pi\)
0.924548 0.381065i \(-0.124443\pi\)
\(594\) −48.4384 12.2192i −1.98745 0.501360i
\(595\) 0.0819288 + 0.460952i 0.00335876 + 0.0188972i
\(596\) 3.36278 44.8731i 0.137745 1.83807i
\(597\) −30.8561 + 8.43004i −1.26285 + 0.345019i
\(598\) −34.5337 + 23.5447i −1.41219 + 0.962815i
\(599\) −6.19820 + 0.934228i −0.253252 + 0.0381715i −0.274441 0.961604i \(-0.588493\pi\)
0.0211894 + 0.999775i \(0.493255\pi\)
\(600\) −10.1873 13.6628i −0.415896 0.557780i
\(601\) −41.4364 + 6.24554i −1.69023 + 0.254761i −0.922495 0.386010i \(-0.873853\pi\)
−0.767732 + 0.640771i \(0.778615\pi\)
\(602\) −37.8958 38.7464i −1.54452 1.57918i
\(603\) −21.7976 8.30949i −0.887669 0.338389i
\(604\) −20.7666 + 14.1584i −0.844980 + 0.576097i
\(605\) 0.529152 + 2.31837i 0.0215131 + 0.0942550i
\(606\) 31.9582 + 23.3453i 1.29821 + 0.948338i
\(607\) 20.4531 0.830167 0.415083 0.909783i \(-0.363752\pi\)
0.415083 + 0.909783i \(0.363752\pi\)
\(608\) 36.5672 33.9294i 1.48299 1.37602i
\(609\) −15.4543 + 31.5886i −0.626240 + 1.28004i
\(610\) −0.428082 0.397202i −0.0173325 0.0160822i
\(611\) −11.3207 10.5040i −0.457985 0.424948i
\(612\) −0.807362 5.02221i −0.0326357 0.203011i
\(613\) −27.6323 4.16490i −1.11606 0.168219i −0.434988 0.900436i \(-0.643247\pi\)
−0.681071 + 0.732218i \(0.738485\pi\)
\(614\) 33.3811 10.2967i 1.34715 0.415541i
\(615\) −3.28447 + 2.85463i −0.132442 + 0.115110i
\(616\) −22.9070 + 2.32386i −0.922950 + 0.0936309i
\(617\) 25.3246 23.4978i 1.01953 0.945987i 0.0209795 0.999780i \(-0.493322\pi\)
0.998552 + 0.0537928i \(0.0171311\pi\)
\(618\) 41.6922 + 30.4560i 1.67711 + 1.22512i
\(619\) −27.7103 −1.11377 −0.556885 0.830590i \(-0.688004\pi\)
−0.556885 + 0.830590i \(0.688004\pi\)
\(620\) −4.05150 + 3.75925i −0.162712 + 0.150975i
\(621\) 28.2322 29.0743i 1.13292 1.16671i
\(622\) −20.5775 + 25.8034i −0.825083 + 1.03462i
\(623\) −11.3172 8.54811i −0.453415 0.342473i
\(624\) 4.84752 3.07911i 0.194056 0.123263i
\(625\) −5.25807 23.0371i −0.210323 0.921485i
\(626\) 64.3646 9.70140i 2.57253 0.387746i
\(627\) −28.1052 + 45.2192i −1.12241 + 1.80588i
\(628\) 54.5036 + 8.21510i 2.17493 + 0.327818i
\(629\) −5.10058 + 2.45631i −0.203373 + 0.0979395i
\(630\) −3.77371 + 3.76388i −0.150348 + 0.149957i
\(631\) −15.8077 7.61258i −0.629294 0.303052i 0.0919179 0.995767i \(-0.470700\pi\)
−0.721212 + 0.692715i \(0.756415\pi\)
\(632\) 5.50178 + 3.75105i 0.218849 + 0.149209i
\(633\) −0.216007 + 0.187738i −0.00858551 + 0.00746193i
\(634\) 0.628729 8.38981i 0.0249700 0.333202i
\(635\) −2.83017 3.54892i −0.112312 0.140835i
\(636\) −24.3767 + 10.7779i −0.966600 + 0.427370i
\(637\) 11.2422 + 12.6688i 0.445430 + 0.501958i
\(638\) −73.7773 −2.92087
\(639\) −13.1099 0.853410i −0.518619 0.0337604i
\(640\) 3.60624 + 2.45869i 0.142549 + 0.0971884i
\(641\) −7.92382 + 34.7165i −0.312972 + 1.37122i 0.536639 + 0.843812i \(0.319694\pi\)
−0.849611 + 0.527409i \(0.823163\pi\)
\(642\) −27.9146 + 32.7605i −1.10170 + 1.29295i
\(643\) −2.28797 30.5308i −0.0902286 1.20402i −0.840099 0.542433i \(-0.817503\pi\)
0.749871 0.661584i \(-0.230116\pi\)
\(644\) 24.5812 54.6769i 0.968633 2.15457i
\(645\) −1.62665 4.57669i −0.0640495 0.180207i
\(646\) −9.05117 1.36424i −0.356114 0.0536755i
\(647\) −1.76713 23.5807i −0.0694730 0.927052i −0.917663 0.397360i \(-0.869926\pi\)
0.848190 0.529692i \(-0.177693\pi\)
\(648\) 12.9835 12.5291i 0.510041 0.492189i
\(649\) −32.7524 10.1028i −1.28564 0.396568i
\(650\) −26.0086 + 3.92017i −1.02014 + 0.153762i
\(651\) −22.3691 18.0668i −0.876715 0.708095i
\(652\) 23.0790 + 3.47860i 0.903844 + 0.136233i
\(653\) −3.41208 1.64317i −0.133525 0.0643023i 0.365928 0.930643i \(-0.380752\pi\)
−0.499453 + 0.866341i \(0.666466\pi\)
\(654\) −27.5805 + 3.24444i −1.07848 + 0.126868i
\(655\) 1.28010 0.0500177
\(656\) −5.67733 + 9.83343i −0.221663 + 0.383931i
\(657\) −0.150492 15.3639i −0.00587126 0.599403i
\(658\) 36.6674 + 7.36025i 1.42944 + 0.286933i
\(659\) −15.1285 14.0372i −0.589322 0.546811i 0.328142 0.944628i \(-0.393577\pi\)
−0.917465 + 0.397817i \(0.869768\pi\)
\(660\) −6.26164 2.15668i −0.243734 0.0839487i
\(661\) 16.0091 + 40.7904i 0.622680 + 1.58656i 0.798403 + 0.602124i \(0.205679\pi\)
−0.175722 + 0.984440i \(0.556226\pi\)
\(662\) −19.3954 49.4188i −0.753825 1.92071i
\(663\) −2.31267 0.796548i −0.0898168 0.0309354i
\(664\) 4.01233 + 3.72290i 0.155709 + 0.144477i
\(665\) 2.59840 + 5.05133i 0.100762 + 0.195882i
\(666\) −56.1277 31.6764i −2.17491 1.22744i
\(667\) 29.9256 51.8326i 1.15872 2.00697i
\(668\) −27.8985 −1.07942
\(669\) −25.4795 + 2.99729i −0.985096 + 0.115882i
\(670\) −4.70446 2.26555i −0.181749 0.0875257i
\(671\) 3.73287 + 0.562640i 0.144106 + 0.0217205i
\(672\) −14.1864 + 28.9971i −0.547253 + 1.11859i
\(673\) −24.2099 + 3.64905i −0.933222 + 0.140661i −0.598016 0.801484i \(-0.704044\pi\)
−0.335206 + 0.942145i \(0.608806\pi\)
\(674\) 13.2736 + 4.09438i 0.511282 + 0.157709i
\(675\) 23.9456 8.77589i 0.921667 0.337784i
\(676\) −1.55126 20.7001i −0.0596637 0.796156i
\(677\) 3.06556 + 0.462059i 0.117819 + 0.0177584i 0.207687 0.978195i \(-0.433406\pi\)
−0.0898680 + 0.995954i \(0.528645\pi\)
\(678\) 2.32716 + 6.54762i 0.0893742 + 0.251460i
\(679\) −0.261084 9.92417i −0.0100195 0.380855i
\(680\) −0.0265107 0.353761i −0.00101664 0.0135661i
\(681\) −1.02248 + 1.19998i −0.0391814 + 0.0459832i
\(682\) 13.4234 58.8118i 0.514009 2.25202i
\(683\) −27.5053 18.7528i −1.05246 0.717555i −0.0919390 0.995765i \(-0.529306\pi\)
−0.960520 + 0.278210i \(0.910259\pi\)
\(684\) −27.3217 55.3408i −1.04467 2.11601i
\(685\) 2.81272 0.107468
\(686\) −39.2450 11.9293i −1.49838 0.455461i
\(687\) 21.6607 9.57703i 0.826409 0.365387i
\(688\) −7.90198 9.90877i −0.301260 0.377768i
\(689\) −0.957778 + 12.7807i −0.0364884 + 0.486905i
\(690\) 6.84661 5.95060i 0.260646 0.226535i
\(691\) 17.7585 + 12.1076i 0.675567 + 0.460594i 0.851878 0.523741i \(-0.175464\pi\)
−0.176311 + 0.984335i \(0.556416\pi\)
\(692\) 40.0645 + 19.2940i 1.52302 + 0.733450i
\(693\) 6.44962 33.8455i 0.245001 1.28569i
\(694\) 18.2305 8.77932i 0.692019 0.333259i
\(695\) 4.40801 + 0.664400i 0.167205 + 0.0252021i
\(696\) 14.0663 22.6317i 0.533181 0.857850i
\(697\) 4.78226 0.720809i 0.181141 0.0273026i
\(698\) −6.13060 26.8599i −0.232047 1.01666i
\(699\) −31.0657 + 19.7328i −1.17501 + 0.746362i
\(700\) 28.8661 24.2890i 1.09104 0.918037i
\(701\) 5.85722 7.34472i 0.221224 0.277406i −0.658817 0.752303i \(-0.728943\pi\)
0.880042 + 0.474896i \(0.157514\pi\)
\(702\) −7.60152 26.7886i −0.286901 1.01107i
\(703\) −50.3523 + 46.7201i −1.89907 + 1.76208i
\(704\) −55.8283 −2.10411
\(705\) 2.70646 + 1.97706i 0.101931 + 0.0744604i
\(706\) 37.5500 34.8413i 1.41321 1.31127i
\(707\) −14.7780 + 22.9497i −0.555786 + 0.863114i
\(708\) 29.9882 26.0637i 1.12703 0.979532i
\(709\) 15.8743 4.89657i 0.596172 0.183895i 0.0180389 0.999837i \(-0.494258\pi\)
0.578133 + 0.815943i \(0.303782\pi\)
\(710\) −2.90781 0.438282i −0.109128 0.0164484i
\(711\) −7.72929 + 6.28874i −0.289871 + 0.235846i
\(712\) 7.87792 + 7.30964i 0.295237 + 0.273940i
\(713\) 35.8737 + 33.2859i 1.34348 + 1.24657i
\(714\) 5.78304 1.28227i 0.216425 0.0479876i
\(715\) −2.33447 + 2.16607i −0.0873041 + 0.0810064i
\(716\) −44.0935 −1.64785
\(717\) 34.2654 + 25.0308i 1.27967 + 0.934791i
\(718\) 1.22272 + 5.35709i 0.0456315 + 0.199925i
\(719\) −38.5864 + 26.3077i −1.43903 + 0.981113i −0.442596 + 0.896721i \(0.645942\pi\)
−0.996433 + 0.0843917i \(0.973105\pi\)
\(720\) −0.966789 + 0.786603i −0.0360301 + 0.0293150i
\(721\) −19.2793 + 29.9400i −0.717997 + 1.11502i
\(722\) −68.2089 + 10.2808i −2.53847 + 0.382613i
\(723\) 0.703543 + 0.943560i 0.0261650 + 0.0350914i
\(724\) −15.6826 + 2.36378i −0.582840 + 0.0878490i
\(725\) 31.1197 21.2170i 1.15576 0.787981i
\(726\) 29.0233 7.92931i 1.07715 0.294284i
\(727\) −2.34815 + 31.3339i −0.0870882 + 1.16211i 0.766881 + 0.641789i \(0.221807\pi\)
−0.853970 + 0.520323i \(0.825812\pi\)
\(728\) −7.50619 10.4104i −0.278198 0.385834i
\(729\) 12.4245 + 23.9715i 0.460167 + 0.887832i
\(730\) 0.257007 3.42951i 0.00951224 0.126932i
\(731\) −1.20120 + 5.26278i −0.0444278 + 0.194651i
\(732\) −2.83814 + 3.33084i −0.104901 + 0.123111i
\(733\) −2.84293 3.56492i −0.105006 0.131673i 0.726551 0.687112i \(-0.241122\pi\)
−0.831558 + 0.555439i \(0.812550\pi\)
\(734\) −18.9733 32.8626i −0.700316 1.21298i
\(735\) −2.74443 2.44566i −0.101230 0.0902097i
\(736\) 27.4704 47.5802i 1.01257 1.75383i
\(737\) 33.3773 5.03081i 1.22947 0.185312i
\(738\) 37.8424 + 39.9916i 1.39300 + 1.47211i
\(739\) 7.14680 2.20449i 0.262899 0.0810937i −0.160503 0.987035i \(-0.551312\pi\)
0.423403 + 0.905942i \(0.360836\pi\)
\(740\) −7.05942 4.81303i −0.259510 0.176931i
\(741\) −29.6621 0.964433i −1.08967 0.0354293i
\(742\) −14.1975 27.6002i −0.521207 1.01323i
\(743\) 11.3991 + 7.77180i 0.418194 + 0.285120i 0.754080 0.656783i \(-0.228083\pi\)
−0.335886 + 0.941903i \(0.609036\pi\)
\(744\) 15.4816 + 15.3307i 0.567583 + 0.562050i
\(745\) 4.23115 + 2.03761i 0.155017 + 0.0746524i
\(746\) −18.7619 + 47.8046i −0.686922 + 1.75025i
\(747\) −7.05284 + 4.16460i −0.258050 + 0.152375i
\(748\) 4.58902 + 5.75445i 0.167791 + 0.210404i
\(749\) −23.6874 17.8915i −0.865517 0.653742i
\(750\) 11.1164 3.03707i 0.405915 0.110898i
\(751\) −9.52011 4.58465i −0.347394 0.167296i 0.252047 0.967715i \(-0.418896\pi\)
−0.599441 + 0.800419i \(0.704610\pi\)
\(752\) 8.35696 + 2.57778i 0.304747 + 0.0940020i
\(753\) 9.51757 4.20808i 0.346839 0.153351i
\(754\) −20.5623 35.6150i −0.748836 1.29702i
\(755\) −0.583681 2.55728i −0.0212423 0.0930688i
\(756\) 29.3753 + 27.0605i 1.06837 + 0.984181i
\(757\) −8.32038 + 36.4540i −0.302409 + 1.32494i 0.564069 + 0.825728i \(0.309235\pi\)
−0.866478 + 0.499215i \(0.833622\pi\)
\(758\) 28.6913 8.85011i 1.04212 0.321450i
\(759\) −14.8995 + 56.7152i −0.540816 + 2.05863i
\(760\) −1.57253 4.00674i −0.0570417 0.145340i
\(761\) 6.43581 28.1971i 0.233298 1.02214i −0.713586 0.700568i \(-0.752930\pi\)
0.946884 0.321577i \(-0.104213\pi\)
\(762\) −43.3476 + 37.6747i −1.57032 + 1.36481i
\(763\) −3.35177 18.8579i −0.121342 0.682702i
\(764\) −3.02649 13.2599i −0.109494 0.479726i
\(765\) 0.518684 + 0.113053i 0.0187531 + 0.00408744i
\(766\) −14.6641 25.3990i −0.529837 0.917704i
\(767\) −4.25138 18.6265i −0.153508 0.672564i
\(768\) 5.63276 9.06270i 0.203255 0.327022i
\(769\) 30.5455 + 4.60400i 1.10150 + 0.166024i 0.674534 0.738243i \(-0.264344\pi\)
0.426966 + 0.904268i \(0.359582\pi\)
\(770\) 2.07859 7.42672i 0.0749072 0.267640i
\(771\) 12.4879 + 6.52199i 0.449739 + 0.234884i
\(772\) −10.2473 + 9.50813i −0.368809 + 0.342205i
\(773\) 8.60814 21.9332i 0.309613 0.788881i −0.688367 0.725362i \(-0.741672\pi\)
0.997981 0.0635193i \(-0.0202324\pi\)
\(774\) −56.9835 + 23.0110i −2.04823 + 0.827113i
\(775\) 11.2512 + 28.6675i 0.404153 + 1.02977i
\(776\) −0.562156 + 7.50145i −0.0201802 + 0.269286i
\(777\) 19.5344 39.9284i 0.700793 1.43242i
\(778\) −2.28755 30.5252i −0.0820125 1.09438i
\(779\) 52.8683 25.4600i 1.89420 0.912200i
\(780\) −0.704062 3.62381i −0.0252094 0.129753i
\(781\) 17.1270 8.24795i 0.612854 0.295135i
\(782\) −9.96882 + 1.50256i −0.356484 + 0.0537314i
\(783\) 26.4512 + 29.8387i 0.945288 + 1.06635i
\(784\) −8.84882 3.70160i −0.316029 0.132200i
\(785\) −2.87620 + 4.98173i −0.102656 + 0.177805i
\(786\) −0.684851 16.1817i −0.0244278 0.577182i
\(787\) −3.31966 + 44.2978i −0.118333 + 1.57905i 0.549988 + 0.835173i \(0.314632\pi\)
−0.668321 + 0.743873i \(0.732987\pi\)
\(788\) −6.84350 6.34984i −0.243790 0.226204i
\(789\) −3.15372 + 3.70119i −0.112275 + 0.131766i
\(790\) −1.84283 + 1.25642i −0.0655649 + 0.0447014i
\(791\) −4.41376 + 1.86767i −0.156935 + 0.0664068i
\(792\) −7.45057 + 25.0217i −0.264745 + 0.889108i
\(793\) 0.768775 + 1.95881i 0.0273000 + 0.0695593i
\(794\) −58.7098 28.2732i −2.08353 1.00338i
\(795\) −0.117619 2.77911i −0.00417151 0.0985647i
\(796\) 11.9387 + 52.3068i 0.423156 + 1.85397i
\(797\) −14.8544 + 37.8483i −0.526169 + 1.34066i 0.382814 + 0.923825i \(0.374955\pi\)
−0.908984 + 0.416832i \(0.863140\pi\)
\(798\) 62.4635 35.5488i 2.21118 1.25841i
\(799\) −1.36088 3.46746i −0.0481444 0.122670i
\(800\) 28.5666 19.4764i 1.00998 0.688594i
\(801\) −13.8477 + 8.17688i −0.489286 + 0.288916i
\(802\) 41.1560 + 71.2842i 1.45327 + 2.51713i
\(803\) 11.1160 + 19.2534i 0.392274 + 0.679439i
\(804\) −15.4711 + 35.9394i −0.545624 + 1.26748i
\(805\) 4.37456 + 4.47275i 0.154183 + 0.157644i
\(806\) 32.1318 9.91136i 1.13180 0.349113i
\(807\) −31.1321 + 27.0579i −1.09590 + 0.952482i
\(808\) 12.8958 16.1708i 0.453673 0.568887i
\(809\) 7.06019 + 1.06415i 0.248223 + 0.0374136i 0.271975 0.962304i \(-0.412323\pi\)
−0.0237521 + 0.999718i \(0.507561\pi\)
\(810\) 2.31772 + 5.58143i 0.0814365 + 0.196111i
\(811\) 7.15361 31.3420i 0.251197 1.10057i −0.679182 0.733970i \(-0.737665\pi\)
0.930379 0.366598i \(-0.119478\pi\)
\(812\) 51.8404 + 28.1389i 1.81924 + 0.987481i
\(813\) 6.16389 0.725091i 0.216177 0.0254301i
\(814\) 93.2554 3.26860
\(815\) −1.21790 + 2.10946i −0.0426611 + 0.0738912i
\(816\) 1.37569 0.161830i 0.0481588 0.00566517i
\(817\) 4.89455 + 65.3132i 0.171239 + 2.28502i
\(818\) −1.80910 + 2.26854i −0.0632537 + 0.0793176i
\(819\) 18.1361 6.31956i 0.633725 0.220823i
\(820\) 4.55087 + 5.70660i 0.158923 + 0.199283i
\(821\) 25.8031 23.9418i 0.900536 0.835575i −0.0864707 0.996254i \(-0.527559\pi\)
0.987007 + 0.160679i \(0.0513684\pi\)
\(822\) −1.50480 35.5554i −0.0524859 1.24014i
\(823\) −27.2723 + 18.5940i −0.950654 + 0.648145i −0.936094 0.351749i \(-0.885587\pi\)
−0.0145596 + 0.999894i \(0.504635\pi\)
\(824\) 16.8237 21.0963i 0.586082 0.734923i
\(825\) −23.9333 + 28.0881i −0.833252 + 0.977903i
\(826\) 32.3512 + 33.0774i 1.12564 + 1.15091i
\(827\) −26.3126 12.6715i −0.914978 0.440630i −0.0837026 0.996491i \(-0.526675\pi\)
−0.831276 + 0.555861i \(0.812389\pi\)
\(828\) −46.7206 49.3739i −1.62365 1.71586i
\(829\) 33.4383 10.3144i 1.16136 0.358233i 0.346591 0.938016i \(-0.387339\pi\)
0.814770 + 0.579784i \(0.196863\pi\)
\(830\) −1.65179 + 0.795458i −0.0573343 + 0.0276108i
\(831\) 1.37884 + 0.720123i 0.0478315 + 0.0249808i
\(832\) −15.5598 26.9504i −0.539439 0.934336i
\(833\) 1.11726 + 3.92970i 0.0387108 + 0.136156i
\(834\) 6.04038 56.0769i 0.209161 1.94178i
\(835\) 1.06371 2.71030i 0.0368113 0.0937937i
\(836\) 73.7855 + 50.3061i 2.55193 + 1.73987i
\(837\) −28.5987 + 15.6566i −0.988514 + 0.541172i
\(838\) 4.25375 56.7624i 0.146943 1.96082i
\(839\) 0.336214 0.229227i 0.0116074 0.00791378i −0.557502 0.830175i \(-0.688240\pi\)
0.569110 + 0.822262i \(0.307288\pi\)
\(840\) 1.88189 + 2.05359i 0.0649314 + 0.0708556i
\(841\) 24.6957 + 16.8373i 0.851577 + 0.580596i
\(842\) 6.58181 8.25333i 0.226824 0.284428i
\(843\) 22.4162 36.0660i 0.772054 1.24218i
\(844\) 0.299294 + 0.375302i 0.0103021 + 0.0129184i
\(845\) 2.07013 + 0.638550i 0.0712146 + 0.0219668i
\(846\) 23.5440 35.2700i 0.809458 1.21261i
\(847\) 6.63583 + 19.6614i 0.228010 + 0.675573i
\(848\) −2.65164 6.75628i −0.0910578 0.232012i
\(849\) 11.1281 17.9042i 0.381914 0.614472i
\(850\) −6.06238 1.87000i −0.207938 0.0641403i
\(851\) −37.8263 + 65.5170i −1.29667 + 2.24589i
\(852\) −2.35997 + 21.9092i −0.0808511 + 0.750595i
\(853\) −49.6892 15.3271i −1.70132 0.524789i −0.716388 0.697702i \(-0.754206\pi\)
−0.984937 + 0.172913i \(0.944682\pi\)
\(854\) −4.06632 3.07137i −0.139147 0.105100i
\(855\) 6.41801 0.544228i 0.219491 0.0186122i
\(856\) 16.4888 + 15.2993i 0.563575 + 0.522921i
\(857\) 28.3866 35.5957i 0.969668 1.21593i −0.00673705 0.999977i \(-0.502144\pi\)
0.976405 0.215948i \(-0.0692841\pi\)
\(858\) 28.6301 + 28.3510i 0.977416 + 0.967889i
\(859\) 10.1088 44.2893i 0.344906 1.51113i −0.443667 0.896192i \(-0.646323\pi\)
0.788573 0.614941i \(-0.210820\pi\)
\(860\) −7.78503 + 2.40136i −0.265467 + 0.0818858i
\(861\) −26.0006 + 27.6758i −0.886099 + 0.943190i
\(862\) −20.9892 6.47432i −0.714896 0.220516i
\(863\) −18.6589 + 32.3181i −0.635156 + 1.10012i 0.351327 + 0.936253i \(0.385731\pi\)
−0.986482 + 0.163869i \(0.947603\pi\)
\(864\) 24.2811 + 27.3907i 0.826060 + 0.931851i
\(865\) −3.40197 + 3.15657i −0.115670 + 0.107327i
\(866\) 0.327872 + 4.37515i 0.0111416 + 0.148674i
\(867\) 20.5032 + 20.3033i 0.696324 + 0.689537i
\(868\) −31.8631 + 36.2050i −1.08150 + 1.22888i
\(869\) 5.26753 13.4214i 0.178689 0.455291i
\(870\) 5.33518 + 7.15530i 0.180879 + 0.242587i
\(871\) 11.7311 + 14.7103i 0.397492 + 0.498440i
\(872\) 1.08458 + 14.4727i 0.0367284 + 0.490106i
\(873\) −10.5185 4.00975i −0.355997 0.135710i
\(874\) −110.206 + 53.0725i −3.72778 + 1.79521i
\(875\) 2.54164 + 7.53066i 0.0859232 + 0.254583i
\(876\) −25.7576 0.837482i −0.870270 0.0282959i
\(877\) −22.0166 + 10.6026i −0.743447 + 0.358025i −0.766957 0.641698i \(-0.778230\pi\)
0.0235098 + 0.999724i \(0.492516\pi\)
\(878\) 31.8310 + 29.5349i 1.07424 + 0.996754i
\(879\) −15.9480 2.93670i −0.537914 0.0990526i
\(880\) 0.658869 1.67877i 0.0222105 0.0565913i
\(881\) 51.1323 1.72269 0.861345 0.508021i \(-0.169623\pi\)
0.861345 + 0.508021i \(0.169623\pi\)
\(882\) −29.4473 + 36.0006i −0.991541 + 1.21220i
\(883\) 0.687729 0.0231439 0.0115720 0.999933i \(-0.496316\pi\)
0.0115720 + 0.999933i \(0.496316\pi\)
\(884\) −1.49889 + 3.81911i −0.0504131 + 0.128450i
\(885\) 1.38866 + 3.90707i 0.0466792 + 0.131335i
\(886\) −4.13101 3.83301i −0.138784 0.128773i
\(887\) −16.1275 + 7.76658i −0.541508 + 0.260776i −0.684582 0.728936i \(-0.740015\pi\)
0.143075 + 0.989712i \(0.454301\pi\)
\(888\) −17.7800 + 28.6067i −0.596656 + 0.959977i
\(889\) −27.6964 28.3181i −0.928908 0.949758i
\(890\) −3.24316 + 1.56182i −0.108711 + 0.0523524i
\(891\) −32.7042 21.3712i −1.09563 0.715961i
\(892\) 3.21577 + 42.9115i 0.107672 + 1.43678i
\(893\) −28.1790 35.3353i −0.942973 1.18245i
\(894\) 23.4937 54.5758i 0.785747 1.82529i
\(895\) 1.68120 4.28363i 0.0561963 0.143186i
\(896\) 33.4738 + 18.1695i 1.11828 + 0.607001i
\(897\) −31.5311 + 8.61446i −1.05279 + 0.287629i
\(898\) −0.977374 13.0422i −0.0326154 0.435222i
\(899\) −35.2972 + 32.7510i −1.17723 + 1.09231i
\(900\) −13.0084 40.7507i −0.433613 1.35836i
\(901\) −1.54569 + 2.67722i −0.0514945 + 0.0891911i
\(902\) −76.1270 23.4821i −2.53475 0.781867i
\(903\) −18.1530 38.3009i −0.604095 1.27457i
\(904\) 3.47022 1.07042i 0.115418 0.0356016i
\(905\) 0.368310 1.61367i 0.0122430 0.0536403i
\(906\) −32.0141 + 8.74643i −1.06360 + 0.290581i
\(907\) −20.6898 + 25.9442i −0.686995 + 0.861465i −0.995978 0.0896031i \(-0.971440\pi\)
0.308982 + 0.951068i \(0.400012\pi\)
\(908\) 1.93842 + 1.79859i 0.0643286 + 0.0596882i
\(909\) 17.6849 + 25.4009i 0.586572 + 0.842494i
\(910\) 4.16447 1.06648i 0.138051 0.0353533i
\(911\) 6.59897 + 2.03551i 0.218634 + 0.0674395i 0.402137 0.915580i \(-0.368268\pi\)
−0.183503 + 0.983019i \(0.558744\pi\)
\(912\) 15.3712 6.79618i 0.508990 0.225044i
\(913\) 5.92574 10.2637i 0.196113 0.339678i
\(914\) 65.4714 + 20.1952i 2.16560 + 0.667999i
\(915\) −0.215374 0.402720i −0.00712003 0.0133135i
\(916\) −14.5130 36.9786i −0.479523 1.22181i
\(917\) 11.1135 1.12743i 0.366999 0.0372312i
\(918\) 1.15160 6.61715i 0.0380085 0.218398i
\(919\) 14.6285 + 4.51228i 0.482549 + 0.148847i 0.526479 0.850188i \(-0.323512\pi\)
−0.0439305 + 0.999035i \(0.513988\pi\)
\(920\) −2.95576 3.70641i −0.0974485 0.122197i
\(921\) 27.3049 + 0.887788i 0.899726 + 0.0292536i
\(922\) 17.5222 21.9721i 0.577063 0.723614i
\(923\) 8.75504 + 5.96908i 0.288176 + 0.196475i
\(924\) −56.2613 13.2088i −1.85086 0.434538i
\(925\) −39.3356 + 26.8186i −1.29335 + 0.881790i
\(926\) −5.71803 + 76.3018i −0.187906 + 2.50743i
\(927\) 23.0716 + 33.1377i 0.757769 + 1.08838i
\(928\) 44.6648 + 30.4520i 1.46620 + 0.999635i
\(929\) −17.0761 + 43.5092i −0.560249 + 1.42749i 0.317448 + 0.948276i \(0.397174\pi\)
−0.877697 + 0.479216i \(0.840921\pi\)
\(930\) −6.67458 + 2.95108i −0.218868 + 0.0967698i
\(931\) 27.0075 + 41.5657i 0.885135 + 1.36226i
\(932\) 30.8650 + 53.4598i 1.01102 + 1.75113i
\(933\) −21.7869 + 13.8389i −0.713270 + 0.453065i
\(934\) 7.52094 3.62190i 0.246093 0.118512i
\(935\) −0.734008 + 0.226411i −0.0240046 + 0.00740444i
\(936\) −14.1554 + 3.37709i −0.462685 + 0.110384i
\(937\) 25.5762 + 12.3169i 0.835539 + 0.402374i 0.802190 0.597069i \(-0.203668\pi\)
0.0333495 + 0.999444i \(0.489383\pi\)
\(938\) −42.8381 15.5254i −1.39871 0.506924i
\(939\) 50.0630 + 9.21871i 1.63374 + 0.300841i
\(940\) 3.50513 4.39530i 0.114325 0.143359i
\(941\) −2.05177 + 1.39888i −0.0668859 + 0.0456020i −0.596301 0.802761i \(-0.703364\pi\)
0.529415 + 0.848363i \(0.322411\pi\)
\(942\) 64.5125 + 33.6927i 2.10193 + 1.09777i
\(943\) 47.3761 43.9586i 1.54278 1.43149i
\(944\) 6.74583 + 8.45901i 0.219558 + 0.275317i
\(945\) −3.74891 + 1.82201i −0.121952 + 0.0592700i
\(946\) 55.4417 69.5217i 1.80256 2.26034i
\(947\) 3.15767 + 42.1362i 0.102610 + 1.36924i 0.776364 + 0.630285i \(0.217062\pi\)
−0.673753 + 0.738956i \(0.735319\pi\)
\(948\) 9.99053 + 13.3988i 0.324477 + 0.435174i
\(949\) −6.19623 + 10.7322i −0.201138 + 0.348381i
\(950\) −76.9757 −2.49742
\(951\) 2.60157 6.04345i 0.0843618 0.195972i
\(952\) −0.541730 3.04791i −0.0175576 0.0987832i
\(953\) −2.18390 + 9.56827i −0.0707433 + 0.309947i −0.997904 0.0647183i \(-0.979385\pi\)
0.927160 + 0.374665i \(0.122242\pi\)
\(954\) −35.0676 + 2.97363i −1.13536 + 0.0962749i
\(955\) 1.40357 + 0.211555i 0.0454186 + 0.00684575i
\(956\) 44.3771 55.6471i 1.43526 1.79975i
\(957\) −54.5522 18.7893i −1.76342 0.607371i
\(958\) 1.60127 0.493927i 0.0517347 0.0159581i
\(959\) 24.4192 2.47727i 0.788538 0.0799952i
\(960\) 4.03720 + 5.41451i 0.130300 + 0.174753i
\(961\) −4.18543 7.24938i −0.135014 0.233851i
\(962\) 25.9911 + 45.0178i 0.837985 + 1.45143i
\(963\) −28.9838 + 17.1145i −0.933991 + 0.551507i
\(964\) 1.63113 1.11208i 0.0525350 0.0358178i
\(965\) −0.532991 1.35804i −0.0171576 0.0437169i
\(966\) 54.1994 57.6915i 1.74384 1.85619i
\(967\) 5.80730 14.7968i 0.186750 0.475832i −0.806582 0.591123i \(-0.798685\pi\)
0.993332 + 0.115291i \(0.0367801\pi\)
\(968\) −3.49886 15.3295i −0.112458 0.492709i
\(969\) −6.34515 3.31386i −0.203836 0.106456i
\(970\) −2.27014 1.09324i −0.0728898 0.0351019i
\(971\) 4.87813 + 12.4293i 0.156547 + 0.398875i 0.987532 0.157420i \(-0.0503177\pi\)
−0.830985 + 0.556295i \(0.812223\pi\)
\(972\) 41.0528 19.1210i 1.31677 0.613305i
\(973\) 38.8542 + 1.88583i 1.24561 + 0.0604570i
\(974\) 21.5615 14.7004i 0.690875 0.471031i
\(975\) −20.2296 3.72512i −0.647866 0.119299i
\(976\) −0.873540 0.810527i −0.0279613 0.0259443i
\(977\) −1.13770 + 15.1816i −0.0363984 + 0.485703i 0.948982 + 0.315332i \(0.102116\pi\)
−0.985380 + 0.170371i \(0.945503\pi\)
\(978\) 27.3172 + 14.2668i 0.873507 + 0.456203i
\(979\) 11.6348 20.1520i 0.371848 0.644060i
\(980\) −4.29312 + 4.42569i −0.137139 + 0.141373i
\(981\) −21.2198 4.62508i −0.677495 0.147668i
\(982\) −18.0501 + 2.72061i −0.576001 + 0.0868182i
\(983\) −17.9365 + 8.63779i −0.572087 + 0.275503i −0.697480 0.716605i \(-0.745695\pi\)
0.125393 + 0.992107i \(0.459981\pi\)
\(984\) 21.7175 18.8754i 0.692330 0.601725i
\(985\) 0.877808 0.422730i 0.0279693 0.0134693i
\(986\) −0.741279 9.89169i −0.0236071 0.315015i
\(987\) 25.2380 + 14.7806i 0.803335 + 0.470471i
\(988\) −3.71998 + 49.6397i −0.118348 + 1.57925i
\(989\) 26.3545 + 67.1502i 0.838024 + 2.13525i
\(990\) −6.88997 5.38501i −0.218978 0.171147i
\(991\) 7.69688 19.6113i 0.244499 0.622974i −0.754963 0.655768i \(-0.772345\pi\)
0.999462 + 0.0327933i \(0.0104403\pi\)
\(992\) −32.4014 + 30.0641i −1.02875 + 0.954537i
\(993\) −1.75557 41.4806i −0.0557113 1.31635i
\(994\) −25.6308 1.24402i −0.812959 0.0394578i
\(995\) −5.53673 0.834528i −0.175526 0.0264563i
\(996\) 6.47885 + 12.1146i 0.205290 + 0.383866i
\(997\) −0.0948738 0.415669i −0.00300468 0.0131644i 0.973403 0.229098i \(-0.0735776\pi\)
−0.976408 + 0.215934i \(0.930721\pi\)
\(998\) −10.5518 18.2762i −0.334010 0.578522i
\(999\) −33.4346 37.7165i −1.05782 1.19330i
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 441.2.z.a.142.48 yes 648
9.4 even 3 441.2.y.a.436.48 yes 648
49.39 even 21 441.2.y.a.88.48 648
441.382 even 21 inner 441.2.z.a.382.48 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.48 648 49.39 even 21
441.2.y.a.436.48 yes 648 9.4 even 3
441.2.z.a.142.48 yes 648 1.1 even 1 trivial
441.2.z.a.382.48 yes 648 441.382 even 21 inner