Properties

Label 432.2.bg.a.13.43
Level $432$
Weight $2$
Character 432.13
Analytic conductor $3.450$
Analytic rank $0$
Dimension $840$
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] = [432,2,Mod(13,432)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(432, base_ring=CyclotomicField(36))
 
chi = DirichletCharacter(H, H._module([0, 27, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("432.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 432 = 2^{4} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 432.bg (of order \(36\), 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: \(3.44953736732\)
Analytic rank: \(0\)
Dimension: \(840\)
Relative dimension: \(70\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 13.43
Character \(\chi\) \(=\) 432.13
Dual form 432.2.bg.a.133.43

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.451525 + 1.34020i) q^{2} +(-0.603065 + 1.62367i) q^{3} +(-1.59225 + 1.21026i) q^{4} +(2.50759 - 0.219385i) q^{5} +(-2.44834 - 0.0750967i) q^{6} +(0.0438504 - 0.120478i) q^{7} +(-2.34093 - 1.58746i) q^{8} +(-2.27263 - 1.95836i) q^{9} +O(q^{10})\) \(q+(0.451525 + 1.34020i) q^{2} +(-0.603065 + 1.62367i) q^{3} +(-1.59225 + 1.21026i) q^{4} +(2.50759 - 0.219385i) q^{5} +(-2.44834 - 0.0750967i) q^{6} +(0.0438504 - 0.120478i) q^{7} +(-2.34093 - 1.58746i) q^{8} +(-2.27263 - 1.95836i) q^{9} +(1.42626 + 3.26160i) q^{10} +(-0.572986 + 6.54926i) q^{11} +(-1.00484 - 3.31516i) q^{12} +(-3.45030 + 2.41592i) q^{13} +(0.181264 + 0.00436934i) q^{14} +(-1.15603 + 4.20380i) q^{15} +(1.07053 - 3.85409i) q^{16} +(0.544429 - 0.942979i) q^{17} +(1.59844 - 3.93001i) q^{18} +(-0.458097 + 1.70964i) q^{19} +(-3.72719 + 3.38416i) q^{20} +(0.169172 + 0.143855i) q^{21} +(-9.03601 + 2.18924i) q^{22} +(-0.457698 - 1.25752i) q^{23} +(3.98926 - 2.84356i) q^{24} +(1.31582 - 0.232014i) q^{25} +(-4.79571 - 3.53323i) q^{26} +(4.55028 - 2.50898i) q^{27} +(0.0759892 + 0.244902i) q^{28} +(3.29377 - 4.70399i) q^{29} +(-6.15589 + 0.348818i) q^{30} +(6.90474 - 2.51312i) q^{31} +(5.64860 - 0.305501i) q^{32} +(-10.2883 - 4.87997i) q^{33} +(1.50960 + 0.303863i) q^{34} +(0.0835275 - 0.311729i) q^{35} +(5.98872 + 0.367724i) q^{36} +(-0.285907 - 1.06702i) q^{37} +(-2.49810 + 0.158006i) q^{38} +(-1.84192 - 7.05911i) q^{39} +(-6.21835 - 3.46714i) q^{40} +(-2.98899 - 0.527040i) q^{41} +(-0.116408 + 0.291678i) q^{42} +(-0.930274 + 10.6331i) q^{43} +(-7.01400 - 11.1215i) q^{44} +(-6.12844 - 4.41217i) q^{45} +(1.47865 - 1.18120i) q^{46} +(4.93720 + 1.79699i) q^{47} +(5.61218 + 4.06245i) q^{48} +(5.34972 + 4.48895i) q^{49} +(0.905068 + 1.65869i) q^{50} +(1.20276 + 1.45265i) q^{51} +(2.56983 - 8.02253i) q^{52} +(3.55401 - 3.55401i) q^{53} +(5.41709 + 4.96539i) q^{54} +16.5485i q^{55} +(-0.293905 + 0.212420i) q^{56} +(-2.49964 - 1.77482i) q^{57} +(7.79149 + 2.29033i) q^{58} +(-8.55445 + 0.748417i) q^{59} +(-3.24702 - 8.09260i) q^{60} +(5.38806 + 11.5547i) q^{61} +(6.48573 + 8.11896i) q^{62} +(-0.335595 + 0.187926i) q^{63} +(2.95991 + 7.43229i) q^{64} +(-8.12190 + 6.81508i) q^{65} +(1.89469 - 15.9918i) q^{66} +(5.78982 - 4.05408i) q^{67} +(0.274385 + 2.16036i) q^{68} +(2.31781 + 0.0152113i) q^{69} +(0.455493 - 0.0288101i) q^{70} +(-7.43582 - 4.29307i) q^{71} +(2.21123 + 8.19210i) q^{72} +(8.35979 - 4.82653i) q^{73} +(1.30092 - 0.864957i) q^{74} +(-0.416808 + 2.27637i) q^{75} +(-1.33971 - 3.27660i) q^{76} +(0.763916 + 0.356220i) q^{77} +(8.62892 - 5.65589i) q^{78} +(0.618100 + 3.50542i) q^{79} +(1.83890 - 9.89931i) q^{80} +(1.32966 + 8.90124i) q^{81} +(-0.643267 - 4.24381i) q^{82} +(3.37870 - 4.82528i) q^{83} +(-0.443466 - 0.0243099i) q^{84} +(1.15833 - 2.48404i) q^{85} +(-14.6705 + 3.55435i) q^{86} +(5.65139 + 8.18482i) q^{87} +(11.7380 - 14.4218i) q^{88} +(-2.56454 + 1.48064i) q^{89} +(3.14604 - 10.2055i) q^{90} +(0.139769 + 0.521624i) q^{91} +(2.25069 + 1.44834i) q^{92} +(-0.0835217 + 12.7266i) q^{93} +(-0.179056 + 7.42820i) q^{94} +(-0.773647 + 4.38757i) q^{95} +(-2.91044 + 9.35571i) q^{96} +(8.37111 - 7.02420i) q^{97} +(-3.60054 + 9.19654i) q^{98} +(14.1280 - 13.7619i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 840 q - 12 q^{2} - 12 q^{3} - 12 q^{4} - 12 q^{5} - 12 q^{6} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 840 q - 12 q^{2} - 12 q^{3} - 12 q^{4} - 12 q^{5} - 12 q^{6} - 6 q^{8} - 6 q^{10} - 12 q^{11} - 30 q^{12} - 12 q^{13} - 12 q^{14} - 24 q^{15} - 12 q^{16} - 12 q^{17} - 12 q^{18} - 6 q^{19} - 54 q^{20} - 12 q^{21} - 12 q^{22} + 18 q^{24} - 24 q^{26} - 12 q^{27} - 24 q^{28} - 12 q^{29} - 12 q^{30} - 24 q^{31} - 12 q^{32} - 24 q^{33} - 6 q^{35} - 12 q^{36} - 6 q^{37} - 12 q^{38} - 12 q^{40} - 72 q^{42} - 12 q^{43} - 6 q^{44} - 12 q^{45} - 6 q^{46} - 24 q^{47} - 12 q^{48} - 24 q^{49} - 168 q^{50} + 6 q^{51} - 12 q^{52} - 24 q^{53} + 156 q^{54} - 54 q^{56} + 42 q^{58} - 48 q^{59} - 72 q^{60} - 12 q^{61} + 60 q^{62} - 24 q^{63} - 6 q^{64} - 24 q^{65} - 198 q^{66} - 12 q^{67} - 66 q^{68} - 12 q^{69} - 54 q^{70} - 144 q^{72} - 96 q^{74} - 96 q^{75} - 12 q^{76} - 12 q^{77} - 90 q^{78} - 24 q^{79} - 204 q^{80} - 24 q^{81} - 24 q^{82} + 48 q^{83} + 36 q^{84} + 18 q^{85} - 72 q^{86} - 12 q^{88} - 66 q^{90} - 6 q^{91} + 102 q^{92} - 12 q^{93} - 12 q^{94} - 24 q^{95} - 120 q^{96} - 24 q^{97} - 6 q^{98} - 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).

\(n\) \(271\) \(325\) \(353\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{4}{9}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.451525 + 1.34020i 0.319276 + 0.947662i
\(3\) −0.603065 + 1.62367i −0.348180 + 0.937428i
\(4\) −1.59225 + 1.21026i −0.796125 + 0.605132i
\(5\) 2.50759 0.219385i 1.12143 0.0981121i 0.488674 0.872466i \(-0.337481\pi\)
0.632752 + 0.774354i \(0.281925\pi\)
\(6\) −2.44834 0.0750967i −0.999530 0.0306581i
\(7\) 0.0438504 0.120478i 0.0165739 0.0455364i −0.931130 0.364688i \(-0.881176\pi\)
0.947704 + 0.319152i \(0.103398\pi\)
\(8\) −2.34093 1.58746i −0.827644 0.561253i
\(9\) −2.27263 1.95836i −0.757542 0.652787i
\(10\) 1.42626 + 3.26160i 0.451022 + 1.03141i
\(11\) −0.572986 + 6.54926i −0.172762 + 1.97468i 0.0461572 + 0.998934i \(0.485302\pi\)
−0.218919 + 0.975743i \(0.570253\pi\)
\(12\) −1.00484 3.31516i −0.290073 0.957005i
\(13\) −3.45030 + 2.41592i −0.956940 + 0.670057i −0.944030 0.329860i \(-0.892999\pi\)
−0.0129104 + 0.999917i \(0.504110\pi\)
\(14\) 0.181264 + 0.00436934i 0.0484447 + 0.00116775i
\(15\) −1.15603 + 4.20380i −0.298485 + 1.08542i
\(16\) 1.07053 3.85409i 0.267631 0.963521i
\(17\) 0.544429 0.942979i 0.132043 0.228706i −0.792421 0.609975i \(-0.791180\pi\)
0.924464 + 0.381269i \(0.124513\pi\)
\(18\) 1.59844 3.93001i 0.376756 0.926313i
\(19\) −0.458097 + 1.70964i −0.105095 + 0.392219i −0.998356 0.0573194i \(-0.981745\pi\)
0.893261 + 0.449538i \(0.148411\pi\)
\(20\) −3.72719 + 3.38416i −0.833425 + 0.756720i
\(21\) 0.169172 + 0.143855i 0.0369164 + 0.0313917i
\(22\) −9.03601 + 2.18924i −1.92648 + 0.466748i
\(23\) −0.457698 1.25752i −0.0954366 0.262210i 0.882784 0.469780i \(-0.155667\pi\)
−0.978220 + 0.207570i \(0.933445\pi\)
\(24\) 3.98926 2.84356i 0.814303 0.580440i
\(25\) 1.31582 0.232014i 0.263163 0.0464028i
\(26\) −4.79571 3.53323i −0.940515 0.692922i
\(27\) 4.55028 2.50898i 0.875701 0.482854i
\(28\) 0.0759892 + 0.244902i 0.0143606 + 0.0462821i
\(29\) 3.29377 4.70399i 0.611638 0.873509i −0.387186 0.922002i \(-0.626553\pi\)
0.998824 + 0.0484924i \(0.0154417\pi\)
\(30\) −6.15589 + 0.348818i −1.12391 + 0.0636852i
\(31\) 6.90474 2.51312i 1.24013 0.451369i 0.363073 0.931761i \(-0.381728\pi\)
0.877054 + 0.480391i \(0.159505\pi\)
\(32\) 5.64860 0.305501i 0.998541 0.0540055i
\(33\) −10.2883 4.87997i −1.79097 0.849494i
\(34\) 1.50960 + 0.303863i 0.258894 + 0.0521121i
\(35\) 0.0835275 0.311729i 0.0141187 0.0526918i
\(36\) 5.98872 + 0.367724i 0.998120 + 0.0612873i
\(37\) −0.285907 1.06702i −0.0470028 0.175417i 0.938434 0.345458i \(-0.112277\pi\)
−0.985437 + 0.170041i \(0.945610\pi\)
\(38\) −2.49810 + 0.158006i −0.405245 + 0.0256319i
\(39\) −1.84192 7.05911i −0.294943 1.13036i
\(40\) −6.21835 3.46714i −0.983208 0.548202i
\(41\) −2.98899 0.527040i −0.466802 0.0823098i −0.0647002 0.997905i \(-0.520609\pi\)
−0.402102 + 0.915595i \(0.631720\pi\)
\(42\) −0.116408 + 0.291678i −0.0179622 + 0.0450069i
\(43\) −0.930274 + 10.6331i −0.141865 + 1.62153i 0.507915 + 0.861407i \(0.330416\pi\)
−0.649780 + 0.760122i \(0.725139\pi\)
\(44\) −7.01400 11.1215i −1.05740 1.67663i
\(45\) −6.12844 4.41217i −0.913574 0.657728i
\(46\) 1.47865 1.18120i 0.218016 0.174159i
\(47\) 4.93720 + 1.79699i 0.720164 + 0.262118i 0.675996 0.736906i \(-0.263714\pi\)
0.0441688 + 0.999024i \(0.485936\pi\)
\(48\) 5.61218 + 4.06245i 0.810048 + 0.586364i
\(49\) 5.34972 + 4.48895i 0.764246 + 0.641278i
\(50\) 0.905068 + 1.65869i 0.127996 + 0.234574i
\(51\) 1.20276 + 1.45265i 0.168420 + 0.203412i
\(52\) 2.56983 8.02253i 0.356372 1.11252i
\(53\) 3.55401 3.55401i 0.488181 0.488181i −0.419551 0.907732i \(-0.637812\pi\)
0.907732 + 0.419551i \(0.137812\pi\)
\(54\) 5.41709 + 4.96539i 0.737173 + 0.675704i
\(55\) 16.5485i 2.23141i
\(56\) −0.293905 + 0.212420i −0.0392747 + 0.0283858i
\(57\) −2.49964 1.77482i −0.331085 0.235081i
\(58\) 7.79149 + 2.29033i 1.02307 + 0.300735i
\(59\) −8.55445 + 0.748417i −1.11369 + 0.0974356i −0.629115 0.777312i \(-0.716583\pi\)
−0.484579 + 0.874748i \(0.661027\pi\)
\(60\) −3.24702 8.09260i −0.419189 1.04475i
\(61\) 5.38806 + 11.5547i 0.689870 + 1.47943i 0.868590 + 0.495532i \(0.165027\pi\)
−0.178719 + 0.983900i \(0.557195\pi\)
\(62\) 6.48573 + 8.11896i 0.823689 + 1.03111i
\(63\) −0.335595 + 0.187926i −0.0422810 + 0.0236765i
\(64\) 2.95991 + 7.43229i 0.369989 + 0.929036i
\(65\) −8.12190 + 6.81508i −1.00740 + 0.845307i
\(66\) 1.89469 15.9918i 0.233220 1.96845i
\(67\) 5.78982 4.05408i 0.707339 0.495284i −0.163692 0.986511i \(-0.552340\pi\)
0.871031 + 0.491227i \(0.163452\pi\)
\(68\) 0.274385 + 2.16036i 0.0332741 + 0.261982i
\(69\) 2.31781 + 0.0152113i 0.279032 + 0.00183122i
\(70\) 0.455493 0.0288101i 0.0544418 0.00344346i
\(71\) −7.43582 4.29307i −0.882469 0.509494i −0.0109975 0.999940i \(-0.503501\pi\)
−0.871472 + 0.490446i \(0.836834\pi\)
\(72\) 2.21123 + 8.19210i 0.260596 + 0.965448i
\(73\) 8.35979 4.82653i 0.978440 0.564903i 0.0766412 0.997059i \(-0.475580\pi\)
0.901799 + 0.432156i \(0.142247\pi\)
\(74\) 1.30092 0.864957i 0.151229 0.100549i
\(75\) −0.416808 + 2.27637i −0.0481288 + 0.262853i
\(76\) −1.33971 3.27660i −0.153675 0.375851i
\(77\) 0.763916 + 0.356220i 0.0870563 + 0.0405950i
\(78\) 8.62892 5.65589i 0.977033 0.640404i
\(79\) 0.618100 + 3.50542i 0.0695417 + 0.394391i 0.999634 + 0.0270640i \(0.00861578\pi\)
−0.930092 + 0.367327i \(0.880273\pi\)
\(80\) 1.83890 9.89931i 0.205596 1.10678i
\(81\) 1.32966 + 8.90124i 0.147739 + 0.989026i
\(82\) −0.643267 4.24381i −0.0710370 0.468650i
\(83\) 3.37870 4.82528i 0.370861 0.529644i −0.589734 0.807598i \(-0.700767\pi\)
0.960594 + 0.277954i \(0.0896563\pi\)
\(84\) −0.443466 0.0243099i −0.0483862 0.00265243i
\(85\) 1.15833 2.48404i 0.125638 0.269432i
\(86\) −14.6705 + 3.55435i −1.58196 + 0.383275i
\(87\) 5.65139 + 8.18482i 0.605892 + 0.877504i
\(88\) 11.7380 14.4218i 1.25128 1.53737i
\(89\) −2.56454 + 1.48064i −0.271841 + 0.156947i −0.629724 0.776819i \(-0.716832\pi\)
0.357883 + 0.933766i \(0.383499\pi\)
\(90\) 3.14604 10.2055i 0.331621 1.07576i
\(91\) 0.139769 + 0.521624i 0.0146517 + 0.0546810i
\(92\) 2.25069 + 1.44834i 0.234651 + 0.151000i
\(93\) −0.0835217 + 12.7266i −0.00866079 + 1.31969i
\(94\) −0.179056 + 7.42820i −0.0184682 + 0.766160i
\(95\) −0.773647 + 4.38757i −0.0793745 + 0.450155i
\(96\) −2.91044 + 9.35571i −0.297045 + 0.954863i
\(97\) 8.37111 7.02420i 0.849958 0.713199i −0.109823 0.993951i \(-0.535028\pi\)
0.959780 + 0.280752i \(0.0905838\pi\)
\(98\) −3.60054 + 9.19654i −0.363709 + 0.928991i
\(99\) 14.1280 13.7619i 1.41992 1.38312i
\(100\) −1.81431 + 1.96191i −0.181431 + 0.196191i
\(101\) 11.3665 5.30027i 1.13101 0.527396i 0.235246 0.971936i \(-0.424410\pi\)
0.895759 + 0.444540i \(0.146633\pi\)
\(102\) −1.40376 + 2.26785i −0.138993 + 0.224550i
\(103\) −11.1510 + 13.2893i −1.09874 + 1.30943i −0.151663 + 0.988432i \(0.548463\pi\)
−0.947080 + 0.320999i \(0.895982\pi\)
\(104\) 11.9121 0.178287i 1.16808 0.0174825i
\(105\) 0.455773 + 0.323614i 0.0444789 + 0.0315815i
\(106\) 6.36780 + 3.15835i 0.618495 + 0.306766i
\(107\) 8.11040 8.11040i 0.784062 0.784062i −0.196452 0.980513i \(-0.562942\pi\)
0.980513 + 0.196452i \(0.0629419\pi\)
\(108\) −4.20865 + 9.50196i −0.404978 + 0.914327i
\(109\) 4.07004 + 4.07004i 0.389839 + 0.389839i 0.874630 0.484791i \(-0.161104\pi\)
−0.484791 + 0.874630i \(0.661104\pi\)
\(110\) −22.1783 + 7.47208i −2.11462 + 0.712435i
\(111\) 1.90491 + 0.179262i 0.180806 + 0.0170148i
\(112\) −0.417389 0.297978i −0.0394396 0.0281563i
\(113\) −11.2096 9.40599i −1.05451 0.884841i −0.0609519 0.998141i \(-0.519414\pi\)
−0.993561 + 0.113299i \(0.963858\pi\)
\(114\) 1.24996 4.15138i 0.117070 0.388812i
\(115\) −1.42360 3.05291i −0.132751 0.284686i
\(116\) 0.448560 + 11.4763i 0.0416478 + 1.06554i
\(117\) 12.5725 + 1.26643i 1.16233 + 0.117082i
\(118\) −4.86557 11.1267i −0.447912 1.02430i
\(119\) −0.0897347 0.106942i −0.00822597 0.00980333i
\(120\) 9.37956 8.00566i 0.856233 0.730813i
\(121\) −31.7317 5.59515i −2.88470 0.508650i
\(122\) −13.0528 + 12.4383i −1.18174 + 1.12611i
\(123\) 2.65830 4.53531i 0.239690 0.408935i
\(124\) −7.95254 + 12.3581i −0.714159 + 1.10979i
\(125\) −8.90835 + 2.38698i −0.796787 + 0.213498i
\(126\) −0.403388 0.364909i −0.0359366 0.0325087i
\(127\) 1.49615 + 2.59141i 0.132762 + 0.229950i 0.924740 0.380599i \(-0.124282\pi\)
−0.791978 + 0.610549i \(0.790949\pi\)
\(128\) −8.62425 + 7.32273i −0.762283 + 0.647244i
\(129\) −16.7036 7.92290i −1.47067 0.697572i
\(130\) −12.8008 7.80776i −1.12270 0.684786i
\(131\) 7.86966 + 3.66968i 0.687576 + 0.320622i 0.734821 0.678262i \(-0.237266\pi\)
−0.0472449 + 0.998883i \(0.515044\pi\)
\(132\) 22.2876 4.68143i 1.93989 0.407466i
\(133\) 0.185886 + 0.130159i 0.0161184 + 0.0112862i
\(134\) 8.04750 + 5.92898i 0.695198 + 0.512186i
\(135\) 10.8598 7.28975i 0.934660 0.627402i
\(136\) −2.77142 + 1.34319i −0.237647 + 0.115177i
\(137\) 9.49159 1.67362i 0.810921 0.142987i 0.247213 0.968961i \(-0.420485\pi\)
0.563708 + 0.825974i \(0.309374\pi\)
\(138\) 1.02616 + 3.11319i 0.0873529 + 0.265013i
\(139\) 0.126832 0.271993i 0.0107578 0.0230701i −0.900855 0.434119i \(-0.857060\pi\)
0.911613 + 0.411049i \(0.134837\pi\)
\(140\) 0.244277 + 0.597441i 0.0206452 + 0.0504930i
\(141\) −5.89518 + 6.93269i −0.496464 + 0.583838i
\(142\) 2.39610 11.9039i 0.201076 0.998952i
\(143\) −13.8456 23.9812i −1.15782 2.00541i
\(144\) −9.98059 + 6.66242i −0.831716 + 0.555202i
\(145\) 7.22742 12.5183i 0.600205 1.03959i
\(146\) 10.2432 + 9.02447i 0.847729 + 0.746870i
\(147\) −10.5148 + 5.97907i −0.867247 + 0.493145i
\(148\) 1.74661 + 1.35294i 0.143570 + 0.111211i
\(149\) 7.57487 + 10.8180i 0.620558 + 0.886248i 0.999228 0.0392834i \(-0.0125075\pi\)
−0.378671 + 0.925532i \(0.623619\pi\)
\(150\) −3.23899 + 0.469235i −0.264462 + 0.0383129i
\(151\) 4.81304 + 5.73596i 0.391679 + 0.466785i 0.925464 0.378835i \(-0.123675\pi\)
−0.533785 + 0.845620i \(0.679231\pi\)
\(152\) 3.78637 3.27494i 0.307115 0.265633i
\(153\) −3.08397 + 1.07685i −0.249325 + 0.0870581i
\(154\) −0.132478 + 1.18464i −0.0106753 + 0.0954610i
\(155\) 16.7629 7.81666i 1.34643 0.627849i
\(156\) 11.4762 + 9.01067i 0.918830 + 0.721431i
\(157\) −1.53189 17.5096i −0.122258 1.39742i −0.771206 0.636586i \(-0.780346\pi\)
0.648947 0.760833i \(-0.275209\pi\)
\(158\) −4.41886 + 2.41116i −0.351546 + 0.191822i
\(159\) 3.62725 + 7.91385i 0.287660 + 0.627609i
\(160\) 14.0973 2.00529i 1.11449 0.158532i
\(161\) −0.171573 −0.0135219
\(162\) −11.3290 + 5.80113i −0.890093 + 0.455780i
\(163\) −8.21054 8.21054i −0.643099 0.643099i 0.308217 0.951316i \(-0.400268\pi\)
−0.951316 + 0.308217i \(0.900268\pi\)
\(164\) 5.39708 2.77829i 0.421441 0.216948i
\(165\) −26.8694 9.97984i −2.09178 0.776930i
\(166\) 7.99239 + 2.34939i 0.620330 + 0.182348i
\(167\) −2.15335 + 2.56627i −0.166632 + 0.198584i −0.842898 0.538073i \(-0.819152\pi\)
0.676266 + 0.736657i \(0.263597\pi\)
\(168\) −0.167656 0.605309i −0.0129349 0.0467006i
\(169\) 1.62160 4.45531i 0.124738 0.342716i
\(170\) 3.85211 + 0.430779i 0.295444 + 0.0330393i
\(171\) 4.38917 2.98826i 0.335649 0.228518i
\(172\) −11.3876 18.0564i −0.868296 1.37679i
\(173\) 9.25763 + 0.809938i 0.703845 + 0.0615785i 0.433459 0.901173i \(-0.357293\pi\)
0.270386 + 0.962752i \(0.412849\pi\)
\(174\) −8.41752 + 11.2696i −0.638130 + 0.854347i
\(175\) 0.0297465 0.168701i 0.00224862 0.0127526i
\(176\) 24.6280 + 9.21949i 1.85641 + 0.694945i
\(177\) 3.94370 14.3410i 0.296427 1.07793i
\(178\) −3.14230 2.76844i −0.235525 0.207503i
\(179\) 9.00978 2.41416i 0.673422 0.180443i 0.0941265 0.995560i \(-0.469994\pi\)
0.579296 + 0.815117i \(0.303328\pi\)
\(180\) 15.0979 0.391738i 1.12533 0.0291984i
\(181\) 4.31841 + 1.15711i 0.320985 + 0.0860076i 0.415714 0.909496i \(-0.363532\pi\)
−0.0947291 + 0.995503i \(0.530198\pi\)
\(182\) −0.635969 + 0.422844i −0.0471412 + 0.0313433i
\(183\) −22.0105 + 1.78019i −1.62706 + 0.131596i
\(184\) −0.924821 + 3.67034i −0.0681787 + 0.270581i
\(185\) −0.951024 2.61292i −0.0699207 0.192106i
\(186\) −17.0939 + 5.63444i −1.25338 + 0.413137i
\(187\) 5.86386 + 4.10592i 0.428808 + 0.300255i
\(188\) −10.0361 + 3.11405i −0.731957 + 0.227115i
\(189\) −0.102746 0.658228i −0.00747365 0.0478790i
\(190\) −6.22953 + 0.944258i −0.451937 + 0.0685037i
\(191\) −4.59343 26.0506i −0.332369 1.88496i −0.451805 0.892117i \(-0.649220\pi\)
0.119436 0.992842i \(-0.461891\pi\)
\(192\) −13.8526 + 0.323780i −0.999727 + 0.0233668i
\(193\) −10.8867 + 3.96244i −0.783644 + 0.285223i −0.702691 0.711495i \(-0.748018\pi\)
−0.0809524 + 0.996718i \(0.525796\pi\)
\(194\) 13.1936 + 8.04733i 0.947243 + 0.577765i
\(195\) −6.16743 17.2972i −0.441659 1.23868i
\(196\) −13.9509 0.672961i −0.996493 0.0480686i
\(197\) 3.68580 + 0.987608i 0.262602 + 0.0703641i 0.387718 0.921778i \(-0.373263\pi\)
−0.125115 + 0.992142i \(0.539930\pi\)
\(198\) 24.8228 + 12.7204i 1.76408 + 0.904002i
\(199\) 19.6487 + 11.3442i 1.39286 + 0.804168i 0.993631 0.112683i \(-0.0359445\pi\)
0.399229 + 0.916851i \(0.369278\pi\)
\(200\) −3.44855 1.54568i −0.243849 0.109296i
\(201\) 3.09085 + 11.8456i 0.218012 + 0.835527i
\(202\) 12.2356 + 12.8401i 0.860896 + 0.903425i
\(203\) −0.422294 0.603099i −0.0296392 0.0423292i
\(204\) −3.67319 0.857326i −0.257175 0.0600248i
\(205\) −7.61078 0.665857i −0.531560 0.0465055i
\(206\) −22.8452 8.94412i −1.59170 0.623166i
\(207\) −1.42249 + 3.75420i −0.0988699 + 0.260935i
\(208\) 5.61755 + 15.8840i 0.389507 + 1.10136i
\(209\) −10.9344 3.97980i −0.756349 0.275288i
\(210\) −0.227913 + 0.756945i −0.0157275 + 0.0522342i
\(211\) −1.22374 13.9874i −0.0842457 0.962932i −0.914243 0.405166i \(-0.867214\pi\)
0.829998 0.557767i \(-0.188342\pi\)
\(212\) −1.35759 + 9.96017i −0.0932395 + 0.684067i
\(213\) 11.4548 9.48433i 0.784872 0.649856i
\(214\) 14.5316 + 7.20748i 0.993357 + 0.492693i
\(215\) 26.8674i 1.83234i
\(216\) −14.6348 1.35005i −0.995772 0.0918590i
\(217\) 0.942070i 0.0639518i
\(218\) −3.61693 + 7.29237i −0.244969 + 0.493902i
\(219\) 2.79521 + 16.4843i 0.188883 + 1.11390i
\(220\) −20.0281 26.3494i −1.35029 1.77648i
\(221\) 0.399723 + 4.56886i 0.0268883 + 0.307334i
\(222\) 0.619867 + 2.63389i 0.0416028 + 0.176775i
\(223\) 6.14227 + 2.23560i 0.411317 + 0.149707i 0.539387 0.842058i \(-0.318656\pi\)
−0.128070 + 0.991765i \(0.540878\pi\)
\(224\) 0.210887 0.693928i 0.0140905 0.0463650i
\(225\) −3.44472 2.04956i −0.229648 0.136637i
\(226\) 7.54445 19.2701i 0.501849 1.28183i
\(227\) −13.2008 1.15492i −0.876167 0.0766547i −0.359807 0.933027i \(-0.617158\pi\)
−0.516359 + 0.856372i \(0.672713\pi\)
\(228\) 6.12805 0.199252i 0.405840 0.0131958i
\(229\) 2.23199 + 3.18761i 0.147494 + 0.210643i 0.886100 0.463494i \(-0.153404\pi\)
−0.738606 + 0.674137i \(0.764516\pi\)
\(230\) 3.44871 3.28637i 0.227401 0.216697i
\(231\) −1.03908 + 1.02553i −0.0683661 + 0.0674747i
\(232\) −15.1779 + 5.78298i −0.996478 + 0.379671i
\(233\) 2.96725 + 1.71314i 0.194391 + 0.112232i 0.594036 0.804438i \(-0.297533\pi\)
−0.399646 + 0.916670i \(0.630867\pi\)
\(234\) 3.97952 + 17.4214i 0.260149 + 1.13887i
\(235\) 12.7747 + 3.42297i 0.833328 + 0.223290i
\(236\) 12.7150 11.5448i 0.827679 0.751503i
\(237\) −6.06441 1.11040i −0.393926 0.0721285i
\(238\) 0.102805 0.168549i 0.00666388 0.0109254i
\(239\) −18.1822 + 6.61778i −1.17611 + 0.428069i −0.854826 0.518915i \(-0.826336\pi\)
−0.321283 + 0.946983i \(0.604114\pi\)
\(240\) 14.9643 + 8.95570i 0.965939 + 0.578088i
\(241\) −2.12478 12.0502i −0.136869 0.776223i −0.973540 0.228517i \(-0.926612\pi\)
0.836671 0.547706i \(-0.184499\pi\)
\(242\) −6.82903 45.0530i −0.438987 2.89612i
\(243\) −15.2546 3.20910i −0.978581 0.205864i
\(244\) −22.5634 11.8771i −1.44447 0.760351i
\(245\) 14.3997 + 10.0828i 0.919962 + 0.644165i
\(246\) 7.27848 + 1.51484i 0.464059 + 0.0965824i
\(247\) −2.54979 7.00550i −0.162239 0.445749i
\(248\) −20.1530 5.07799i −1.27972 0.322452i
\(249\) 5.79711 + 8.39586i 0.367377 + 0.532066i
\(250\) −7.22137 10.8611i −0.456719 0.686919i
\(251\) −29.6132 7.93483i −1.86917 0.500842i −0.999980 0.00635956i \(-0.997976\pi\)
−0.869188 0.494482i \(-0.835358\pi\)
\(252\) 0.306910 0.705384i 0.0193335 0.0444350i
\(253\) 8.49805 2.27705i 0.534268 0.143157i
\(254\) −2.79745 + 3.17522i −0.175528 + 0.199231i
\(255\) 3.33472 + 3.37878i 0.208828 + 0.211587i
\(256\) −13.7080 8.25179i −0.856747 0.515737i
\(257\) 3.55423 20.1570i 0.221707 1.25736i −0.647175 0.762342i \(-0.724050\pi\)
0.868881 0.495020i \(-0.164839\pi\)
\(258\) 3.07613 25.9635i 0.191512 1.61642i
\(259\) −0.141089 0.0123437i −0.00876687 0.000767002i
\(260\) 4.68405 20.6810i 0.290493 1.28258i
\(261\) −16.6976 + 4.24003i −1.03356 + 0.262451i
\(262\) −1.36475 + 12.2038i −0.0843144 + 0.753956i
\(263\) 4.88736 13.4279i 0.301367 0.828000i −0.692896 0.721038i \(-0.743665\pi\)
0.994263 0.106962i \(-0.0341123\pi\)
\(264\) 16.3374 + 27.7560i 1.00550 + 1.70826i
\(265\) 8.13229 9.69169i 0.499563 0.595356i
\(266\) −0.0905063 + 0.307894i −0.00554930 + 0.0188782i
\(267\) −0.857487 5.05689i −0.0524774 0.309477i
\(268\) −4.31235 + 13.4623i −0.263418 + 0.822342i
\(269\) 1.45998 + 1.45998i 0.0890166 + 0.0890166i 0.750213 0.661196i \(-0.229951\pi\)
−0.661196 + 0.750213i \(0.729951\pi\)
\(270\) 14.6732 + 11.2627i 0.892980 + 0.685427i
\(271\) −21.3758 −1.29849 −0.649245 0.760579i \(-0.724915\pi\)
−0.649245 + 0.760579i \(0.724915\pi\)
\(272\) −3.05150 3.10776i −0.185024 0.188436i
\(273\) −0.931236 0.0876344i −0.0563610 0.00530388i
\(274\) 6.52867 + 11.9649i 0.394412 + 0.722827i
\(275\) 0.765576 + 8.75057i 0.0461659 + 0.527679i
\(276\) −3.70895 + 2.78095i −0.223253 + 0.167393i
\(277\) −20.2892 + 9.46102i −1.21906 + 0.568458i −0.922293 0.386491i \(-0.873687\pi\)
−0.296769 + 0.954949i \(0.595909\pi\)
\(278\) 0.421791 + 0.0471687i 0.0252974 + 0.00282899i
\(279\) −20.6135 7.81058i −1.23410 0.467607i
\(280\) −0.690391 + 0.597139i −0.0412587 + 0.0356859i
\(281\) 20.1576 + 24.0228i 1.20250 + 1.43308i 0.872160 + 0.489221i \(0.162719\pi\)
0.330340 + 0.943862i \(0.392837\pi\)
\(282\) −11.9530 4.77041i −0.711790 0.284074i
\(283\) −12.0114 17.1541i −0.714004 1.01970i −0.998143 0.0609200i \(-0.980597\pi\)
0.284139 0.958783i \(-0.408292\pi\)
\(284\) 17.0354 2.16365i 1.01087 0.128389i
\(285\) −6.65742 3.90214i −0.394351 0.231143i
\(286\) 25.8879 29.3839i 1.53078 1.73750i
\(287\) −0.194565 + 0.336997i −0.0114848 + 0.0198923i
\(288\) −13.4354 10.3677i −0.791690 0.610922i
\(289\) 7.90719 + 13.6957i 0.465129 + 0.805627i
\(290\) 20.0403 + 4.03386i 1.17681 + 0.236876i
\(291\) 6.35667 + 17.8280i 0.372635 + 1.04510i
\(292\) −7.46952 + 17.8026i −0.437120 + 1.04182i
\(293\) 3.87977 8.32019i 0.226658 0.486071i −0.759785 0.650175i \(-0.774696\pi\)
0.986443 + 0.164104i \(0.0524734\pi\)
\(294\) −12.7608 11.3922i −0.744226 0.664407i
\(295\) −21.2868 + 3.75344i −1.23937 + 0.218534i
\(296\) −1.02457 + 2.95168i −0.0595517 + 0.171563i
\(297\) 13.8247 + 31.2386i 0.802193 + 1.81265i
\(298\) −11.0780 + 15.0364i −0.641734 + 0.871037i
\(299\) 4.61726 + 3.23304i 0.267023 + 0.186971i
\(300\) −2.09135 4.12901i −0.120744 0.238388i
\(301\) 1.24026 + 0.578342i 0.0714873 + 0.0333351i
\(302\) −5.51410 + 9.04034i −0.317301 + 0.520213i
\(303\) 1.75119 + 21.6518i 0.100603 + 1.24386i
\(304\) 6.09870 + 3.59576i 0.349784 + 0.206231i
\(305\) 16.0460 + 27.7924i 0.918789 + 1.59139i
\(306\) −2.83568 3.64691i −0.162105 0.208480i
\(307\) −9.94484 + 2.66471i −0.567582 + 0.152083i −0.531188 0.847254i \(-0.678254\pi\)
−0.0363947 + 0.999337i \(0.511587\pi\)
\(308\) −1.64747 + 0.357348i −0.0938731 + 0.0203618i
\(309\) −14.8526 26.1199i −0.844937 1.48591i
\(310\) 18.0447 + 18.9361i 1.02487 + 1.07550i
\(311\) −25.6427 4.52150i −1.45406 0.256390i −0.609900 0.792478i \(-0.708791\pi\)
−0.844162 + 0.536088i \(0.819902\pi\)
\(312\) −6.89429 + 19.4489i −0.390312 + 1.10108i
\(313\) −12.9411 15.4226i −0.731474 0.871737i 0.264218 0.964463i \(-0.414886\pi\)
−0.995692 + 0.0927262i \(0.970442\pi\)
\(314\) 22.7746 9.95906i 1.28525 0.562022i
\(315\) −0.800304 + 0.544866i −0.0450920 + 0.0306997i
\(316\) −5.22665 4.83344i −0.294022 0.271903i
\(317\) −7.41656 15.9049i −0.416555 0.893306i −0.996881 0.0789214i \(-0.974852\pi\)
0.580325 0.814385i \(-0.302925\pi\)
\(318\) −8.96832 + 8.43453i −0.502918 + 0.472985i
\(319\) 28.9204 + 24.2671i 1.61923 + 1.35870i
\(320\) 9.05277 + 17.9877i 0.506065 + 1.00555i
\(321\) 8.27753 + 18.0597i 0.462007 + 1.00800i
\(322\) −0.0774695 0.229942i −0.00431721 0.0128141i
\(323\) 1.36275 + 1.36275i 0.0758256 + 0.0758256i
\(324\) −12.8900 12.5638i −0.716110 0.697987i
\(325\) −3.97943 + 3.97943i −0.220739 + 0.220739i
\(326\) 7.29647 14.7110i 0.404114 0.814766i
\(327\) −9.06290 + 4.15391i −0.501180 + 0.229712i
\(328\) 6.16037 + 5.97868i 0.340149 + 0.330117i
\(329\) 0.432996 0.516025i 0.0238718 0.0284494i
\(330\) 1.24274 40.5164i 0.0684106 2.23036i
\(331\) −9.24838 + 4.31259i −0.508337 + 0.237041i −0.659827 0.751417i \(-0.729371\pi\)
0.151490 + 0.988459i \(0.451593\pi\)
\(332\) 0.460126 + 11.7722i 0.0252527 + 0.646082i
\(333\) −1.43985 + 2.98484i −0.0789032 + 0.163568i
\(334\) −4.41159 1.72718i −0.241392 0.0945073i
\(335\) 13.6291 11.4361i 0.744635 0.624823i
\(336\) 0.735531 0.498004i 0.0401265 0.0271683i
\(337\) 2.85716 16.2038i 0.155640 0.882676i −0.802559 0.596573i \(-0.796529\pi\)
0.958199 0.286103i \(-0.0923601\pi\)
\(338\) 6.70318 + 0.161579i 0.364605 + 0.00878876i
\(339\) 22.0324 12.5283i 1.19663 0.680446i
\(340\) 1.16200 + 5.35709i 0.0630180 + 0.290529i
\(341\) 12.5028 + 46.6609i 0.677062 + 2.52683i
\(342\) 5.98667 + 4.53308i 0.323722 + 0.245121i
\(343\) 1.55264 0.896416i 0.0838346 0.0484019i
\(344\) 19.0573 23.4145i 1.02750 1.26243i
\(345\) 5.81546 0.470351i 0.313094 0.0253228i
\(346\) 3.09458 + 12.7728i 0.166365 + 0.686667i
\(347\) 13.3278 28.5815i 0.715473 1.53434i −0.124805 0.992181i \(-0.539831\pi\)
0.840278 0.542155i \(-0.182392\pi\)
\(348\) −18.9042 6.19262i −1.01337 0.331959i
\(349\) 5.04887 7.21053i 0.270260 0.385971i −0.660965 0.750417i \(-0.729853\pi\)
0.931225 + 0.364446i \(0.118742\pi\)
\(350\) 0.239523 0.0363064i 0.0128031 0.00194066i
\(351\) −9.63829 + 19.6499i −0.514454 + 1.04883i
\(352\) −1.23576 + 37.1692i −0.0658662 + 1.98113i
\(353\) −1.83574 10.4110i −0.0977065 0.554121i −0.993884 0.110426i \(-0.964778\pi\)
0.896178 0.443695i \(-0.146333\pi\)
\(354\) 21.0004 1.18997i 1.11616 0.0632461i
\(355\) −19.5878 9.13394i −1.03961 0.484779i
\(356\) 2.29143 5.46131i 0.121445 0.289449i
\(357\) 0.227754 0.0812070i 0.0120540 0.00429793i
\(358\) 7.30359 + 10.9848i 0.386007 + 0.580566i
\(359\) 32.5041 18.7663i 1.71550 0.990446i 0.788799 0.614651i \(-0.210703\pi\)
0.926703 0.375795i \(-0.122630\pi\)
\(360\) 7.34208 + 20.0573i 0.386962 + 1.05711i
\(361\) 13.7415 + 7.93364i 0.723235 + 0.417560i
\(362\) 0.399108 + 6.30998i 0.0209767 + 0.331645i
\(363\) 28.2209 48.1476i 1.48121 2.52709i
\(364\) −0.853849 0.661399i −0.0447539 0.0346667i
\(365\) 19.9040 13.9370i 1.04182 0.729493i
\(366\) −12.3241 28.6945i −0.644190 1.49989i
\(367\) 3.19171 2.67816i 0.166606 0.139799i −0.555673 0.831401i \(-0.687539\pi\)
0.722279 + 0.691602i \(0.243095\pi\)
\(368\) −5.33655 + 0.417806i −0.278187 + 0.0217796i
\(369\) 5.76073 + 7.05129i 0.299891 + 0.367075i
\(370\) 3.07241 2.45436i 0.159727 0.127596i
\(371\) −0.272335 0.584025i −0.0141389 0.0303211i
\(372\) −15.2696 20.3650i −0.791689 1.05588i
\(373\) 23.8312 2.08496i 1.23394 0.107955i 0.548538 0.836125i \(-0.315184\pi\)
0.685397 + 0.728170i \(0.259629\pi\)
\(374\) −2.85506 + 9.71265i −0.147632 + 0.502229i
\(375\) 1.49663 15.9037i 0.0772856 0.821266i
\(376\) −8.70498 12.0443i −0.448925 0.621135i
\(377\) 24.1877i 1.24573i
\(378\) 0.835762 0.434905i 0.0429870 0.0223691i
\(379\) −20.0778 + 20.0778i −1.03133 + 1.03133i −0.0318353 + 0.999493i \(0.510135\pi\)
−0.999493 + 0.0318353i \(0.989865\pi\)
\(380\) −4.07828 7.92243i −0.209211 0.406412i
\(381\) −5.10988 + 0.866472i −0.261787 + 0.0443907i
\(382\) 32.8389 17.9186i 1.68019 0.916796i
\(383\) 5.94574 + 4.98907i 0.303813 + 0.254929i 0.781929 0.623367i \(-0.214236\pi\)
−0.478116 + 0.878297i \(0.658680\pi\)
\(384\) −6.68873 18.4190i −0.341333 0.939942i
\(385\) 1.99373 + 0.725660i 0.101610 + 0.0369831i
\(386\) −10.2261 12.8012i −0.520494 0.651564i
\(387\) 22.9376 22.3432i 1.16598 1.13577i
\(388\) −4.82778 + 21.3155i −0.245094 + 1.08213i
\(389\) −1.08652 + 12.4190i −0.0550888 + 0.629668i 0.917592 + 0.397523i \(0.130130\pi\)
−0.972681 + 0.232145i \(0.925425\pi\)
\(390\) 20.3969 16.0757i 1.03284 0.814025i
\(391\) −1.43499 0.253028i −0.0725708 0.0127962i
\(392\) −5.39728 19.0008i −0.272604 0.959685i
\(393\) −10.7043 + 10.5647i −0.539960 + 0.532919i
\(394\) 0.340643 + 5.38563i 0.0171613 + 0.271324i
\(395\) 2.31898 + 8.65454i 0.116680 + 0.435457i
\(396\) −5.83978 + 39.0110i −0.293460 + 1.96038i
\(397\) −6.55368 + 24.4586i −0.328920 + 1.22754i 0.581393 + 0.813623i \(0.302508\pi\)
−0.910313 + 0.413922i \(0.864159\pi\)
\(398\) −6.33156 + 31.4553i −0.317372 + 1.57671i
\(399\) −0.323437 + 0.223324i −0.0161921 + 0.0111802i
\(400\) 0.514413 5.31965i 0.0257207 0.265982i
\(401\) 9.36476 3.40849i 0.467654 0.170212i −0.0974356 0.995242i \(-0.531064\pi\)
0.565089 + 0.825030i \(0.308842\pi\)
\(402\) −14.4799 + 9.49095i −0.722191 + 0.473366i
\(403\) −17.7519 + 25.3523i −0.884284 + 1.26289i
\(404\) −11.6835 + 22.1958i −0.581278 + 1.10428i
\(405\) 5.28702 + 22.0289i 0.262714 + 1.09463i
\(406\) 0.617594 0.838271i 0.0306507 0.0416027i
\(407\) 7.15201 1.26109i 0.354512 0.0625100i
\(408\) −0.509551 5.30990i −0.0252266 0.262879i
\(409\) −4.03513 11.0864i −0.199525 0.548189i 0.799067 0.601242i \(-0.205327\pi\)
−0.998592 + 0.0530525i \(0.983105\pi\)
\(410\) −2.54408 10.5006i −0.125643 0.518587i
\(411\) −3.00663 + 16.4205i −0.148306 + 0.809966i
\(412\) 1.67171 34.6555i 0.0823591 1.70736i
\(413\) −0.284948 + 1.06344i −0.0140214 + 0.0523285i
\(414\) −5.67365 0.211302i −0.278845 0.0103849i
\(415\) 7.41378 12.8410i 0.363928 0.630342i
\(416\) −18.7513 + 14.7007i −0.919357 + 0.720759i
\(417\) 0.365139 + 0.369963i 0.0178809 + 0.0181172i
\(418\) 0.396555 16.4512i 0.0193961 0.804656i
\(419\) −24.4486 + 17.1191i −1.19439 + 0.836321i −0.989791 0.142524i \(-0.954478\pi\)
−0.204600 + 0.978846i \(0.565589\pi\)
\(420\) −1.11736 + 0.0363309i −0.0545217 + 0.00177276i
\(421\) 1.38542 15.8354i 0.0675212 0.771771i −0.884660 0.466237i \(-0.845609\pi\)
0.952181 0.305534i \(-0.0988350\pi\)
\(422\) 18.1933 7.95571i 0.885636 0.387278i
\(423\) −7.70124 13.7527i −0.374447 0.668679i
\(424\) −13.9616 + 2.67783i −0.678034 + 0.130047i
\(425\) 0.497584 1.36710i 0.0241364 0.0663142i
\(426\) 17.8830 + 11.0693i 0.866434 + 0.536309i
\(427\) 1.62836 0.142463i 0.0788018 0.00689426i
\(428\) −3.09807 + 22.7295i −0.149751 + 1.09867i
\(429\) 47.2874 8.01843i 2.28306 0.387133i
\(430\) −36.0076 + 12.1313i −1.73644 + 0.585024i
\(431\) 11.3556 0.546981 0.273491 0.961875i \(-0.411822\pi\)
0.273491 + 0.961875i \(0.411822\pi\)
\(432\) −4.79865 20.2231i −0.230875 0.972983i
\(433\) 11.0508 0.531065 0.265533 0.964102i \(-0.414452\pi\)
0.265533 + 0.964102i \(0.414452\pi\)
\(434\) 1.26256 0.425368i 0.0606047 0.0204183i
\(435\) 15.9670 + 19.2843i 0.765557 + 0.924611i
\(436\) −11.4063 1.55470i −0.546264 0.0744568i
\(437\) 2.35957 0.206436i 0.112874 0.00987515i
\(438\) −20.8301 + 11.1892i −0.995299 + 0.534640i
\(439\) 6.87962 18.9016i 0.328347 0.902125i −0.660184 0.751104i \(-0.729522\pi\)
0.988531 0.151021i \(-0.0482561\pi\)
\(440\) 26.2702 38.7390i 1.25238 1.84681i
\(441\) −3.36694 20.6784i −0.160330 0.984684i
\(442\) −5.94268 + 2.59866i −0.282664 + 0.123606i
\(443\) −0.163331 + 1.86688i −0.00776007 + 0.0886980i −0.999087 0.0427203i \(-0.986398\pi\)
0.991327 + 0.131418i \(0.0419531\pi\)
\(444\) −3.25005 + 2.02001i −0.154241 + 0.0958655i
\(445\) −6.10597 + 4.27545i −0.289451 + 0.202676i
\(446\) −0.222760 + 9.24128i −0.0105480 + 0.437587i
\(447\) −22.1331 + 5.77513i −1.04686 + 0.273154i
\(448\) 1.02522 0.0306957i 0.0484371 0.00145023i
\(449\) 5.18937 8.98824i 0.244901 0.424181i −0.717203 0.696865i \(-0.754578\pi\)
0.962104 + 0.272683i \(0.0879111\pi\)
\(450\) 1.19143 5.54203i 0.0561648 0.261254i
\(451\) 5.16437 19.2737i 0.243181 0.907563i
\(452\) 29.2323 + 1.41010i 1.37497 + 0.0663255i
\(453\) −12.2159 + 4.35565i −0.573952 + 0.204646i
\(454\) −4.41266 18.2131i −0.207097 0.854784i
\(455\) 0.464919 + 1.27735i 0.0217957 + 0.0598833i
\(456\) 3.03400 + 8.12282i 0.142080 + 0.380386i
\(457\) 3.41611 0.602352i 0.159799 0.0281768i −0.0931764 0.995650i \(-0.529702\pi\)
0.252975 + 0.967473i \(0.418591\pi\)
\(458\) −3.26423 + 4.43059i −0.152527 + 0.207028i
\(459\) 0.111385 5.65677i 0.00519901 0.264036i
\(460\) 5.96155 + 3.13808i 0.277959 + 0.146314i
\(461\) −10.8755 + 15.5319i −0.506524 + 0.723391i −0.988236 0.152939i \(-0.951126\pi\)
0.481712 + 0.876330i \(0.340015\pi\)
\(462\) −1.84357 0.929514i −0.0857708 0.0432449i
\(463\) −11.7807 + 4.28782i −0.547495 + 0.199272i −0.600933 0.799299i \(-0.705204\pi\)
0.0534381 + 0.998571i \(0.482982\pi\)
\(464\) −14.6035 17.7302i −0.677952 0.823105i
\(465\) 2.58259 + 31.9314i 0.119765 + 1.48078i
\(466\) −0.956159 + 4.75022i −0.0442932 + 0.220050i
\(467\) −6.65140 + 24.8233i −0.307790 + 1.14869i 0.622727 + 0.782439i \(0.286025\pi\)
−0.930517 + 0.366248i \(0.880642\pi\)
\(468\) −21.5513 + 13.1995i −0.996207 + 0.610149i
\(469\) −0.234541 0.875318i −0.0108301 0.0404184i
\(470\) 1.18064 + 18.6661i 0.0544589 + 0.861004i
\(471\) 29.3537 + 8.07214i 1.35255 + 0.371944i
\(472\) 21.2135 + 11.8279i 0.976428 + 0.544423i
\(473\) −69.1058 12.1852i −3.17749 0.560277i
\(474\) −1.25007 8.62887i −0.0574178 0.396337i
\(475\) −0.206111 + 2.35586i −0.00945702 + 0.108094i
\(476\) 0.272308 + 0.0616753i 0.0124812 + 0.00282688i
\(477\) −15.0370 + 1.11691i −0.688496 + 0.0511396i
\(478\) −17.0788 21.3796i −0.781168 0.977881i
\(479\) 13.7205 + 4.99384i 0.626904 + 0.228174i 0.635883 0.771785i \(-0.280636\pi\)
−0.00897942 + 0.999960i \(0.502858\pi\)
\(480\) −5.24566 + 24.0988i −0.239431 + 1.09995i
\(481\) 3.56430 + 2.99080i 0.162518 + 0.136369i
\(482\) 15.1903 8.28859i 0.691897 0.377535i
\(483\) 0.103470 0.278579i 0.00470803 0.0126758i
\(484\) 57.2963 29.4948i 2.60438 1.34067i
\(485\) 19.4503 19.4503i 0.883192 0.883192i
\(486\) −2.58699 21.8931i −0.117348 0.993091i
\(487\) 16.3968i 0.743012i −0.928431 0.371506i \(-0.878842\pi\)
0.928431 0.371506i \(-0.121158\pi\)
\(488\) 5.72965 35.6022i 0.259369 1.61163i
\(489\) 18.2827 8.37974i 0.826773 0.378945i
\(490\) −7.01107 + 23.8510i −0.316728 + 1.07748i
\(491\) 4.27052 0.373622i 0.192726 0.0168613i 0.00961595 0.999954i \(-0.496939\pi\)
0.183110 + 0.983092i \(0.441384\pi\)
\(492\) 1.25624 + 10.4386i 0.0566357 + 0.470608i
\(493\) −2.64254 5.66694i −0.119014 0.255226i
\(494\) 8.23745 6.58038i 0.370620 0.296065i
\(495\) 32.4080 37.6086i 1.45663 1.69038i
\(496\) −2.29408 29.3018i −0.103007 1.31569i
\(497\) −0.843284 + 0.707599i −0.0378265 + 0.0317402i
\(498\) −8.63456 + 11.5602i −0.386924 + 0.518025i
\(499\) 0.541032 0.378835i 0.0242199 0.0169590i −0.561404 0.827542i \(-0.689739\pi\)
0.585624 + 0.810583i \(0.300850\pi\)
\(500\) 11.2954 14.5821i 0.505148 0.652132i
\(501\) −2.86817 5.04397i −0.128140 0.225348i
\(502\) −2.73686 43.2702i −0.122152 1.93125i
\(503\) −17.7716 10.2605i −0.792398 0.457491i 0.0484079 0.998828i \(-0.484585\pi\)
−0.840806 + 0.541336i \(0.817919\pi\)
\(504\) 1.08393 + 0.0928217i 0.0482821 + 0.00413461i
\(505\) 27.3396 15.7845i 1.21659 0.702401i
\(506\) 6.88877 + 10.3609i 0.306243 + 0.460599i
\(507\) 6.25603 + 5.31979i 0.277840 + 0.236260i
\(508\) −5.51854 2.31544i −0.244846 0.102731i
\(509\) 6.34561 + 2.95901i 0.281264 + 0.131156i 0.558132 0.829752i \(-0.311518\pi\)
−0.276867 + 0.960908i \(0.589296\pi\)
\(510\) −3.02252 + 5.99478i −0.133839 + 0.265453i
\(511\) −0.214910 1.21882i −0.00950707 0.0539173i
\(512\) 4.86954 22.0972i 0.215205 0.976569i
\(513\) 2.20499 + 8.92869i 0.0973528 + 0.394212i
\(514\) 28.6192 4.33804i 1.26234 0.191343i
\(515\) −25.0467 + 35.7704i −1.10369 + 1.57623i
\(516\) 36.1851 7.60055i 1.59296 0.334595i
\(517\) −14.5979 + 31.3054i −0.642016 + 1.37681i
\(518\) −0.0471623 0.194661i −0.00207219 0.00855291i
\(519\) −6.89803 + 14.5429i −0.302790 + 0.638363i
\(520\) 29.8315 3.06041i 1.30820 0.134208i
\(521\) −22.8743 + 13.2065i −1.00214 + 0.578587i −0.908881 0.417055i \(-0.863062\pi\)
−0.0932607 + 0.995642i \(0.529729\pi\)
\(522\) −13.2219 20.4636i −0.578705 0.895667i
\(523\) 8.46929 + 31.6078i 0.370336 + 1.38211i 0.860041 + 0.510225i \(0.170438\pi\)
−0.489705 + 0.871888i \(0.662895\pi\)
\(524\) −16.9718 + 3.68131i −0.741415 + 0.160819i
\(525\) 0.255976 + 0.150036i 0.0111717 + 0.00654811i
\(526\) 20.2028 + 0.486986i 0.880883 + 0.0212336i
\(527\) 1.38932 7.87923i 0.0605198 0.343225i
\(528\) −29.8217 + 34.4279i −1.29782 + 1.49828i
\(529\) 16.2472 13.6330i 0.706398 0.592739i
\(530\) 16.6607 + 6.52283i 0.723694 + 0.283334i
\(531\) 20.9067 + 15.0518i 0.907275 + 0.653193i
\(532\) −0.453504 + 0.0177256i −0.0196619 + 0.000768503i
\(533\) 11.5862 5.40273i 0.501854 0.234018i
\(534\) 6.39005 3.43251i 0.276524 0.148539i
\(535\) 18.5582 22.1168i 0.802341 0.956193i
\(536\) −19.9893 + 0.299178i −0.863405 + 0.0129225i
\(537\) −1.51367 + 16.0848i −0.0653197 + 0.694112i
\(538\) −1.29744 + 2.61588i −0.0559368 + 0.112779i
\(539\) −32.4646 + 32.4646i −1.39835 + 1.39835i
\(540\) −8.46896 + 24.7503i −0.364446 + 1.06508i
\(541\) 19.5261 + 19.5261i 0.839492 + 0.839492i 0.988792 0.149300i \(-0.0477019\pi\)
−0.149300 + 0.988792i \(0.547702\pi\)
\(542\) −9.65172 28.6478i −0.414577 1.23053i
\(543\) −4.48305 + 6.31386i −0.192386 + 0.270954i
\(544\) 2.78718 5.49283i 0.119499 0.235503i
\(545\) 11.0989 + 9.31306i 0.475423 + 0.398928i
\(546\) −0.303029 1.28761i −0.0129684 0.0551045i
\(547\) 3.28040 + 7.03485i 0.140260 + 0.300788i 0.963872 0.266365i \(-0.0858226\pi\)
−0.823612 + 0.567153i \(0.808045\pi\)
\(548\) −13.0875 + 14.1522i −0.559069 + 0.604550i
\(549\) 10.3833 36.8113i 0.443147 1.57107i
\(550\) −11.3818 + 4.97712i −0.485322 + 0.212225i
\(551\) 6.53327 + 7.78605i 0.278327 + 0.331697i
\(552\) −5.40170 3.71506i −0.229911 0.158123i
\(553\) 0.449430 + 0.0792466i 0.0191117 + 0.00336991i
\(554\) −21.8407 22.9197i −0.927923 0.973763i
\(555\) 4.81605 + 0.0316066i 0.204430 + 0.00134163i
\(556\) 0.127234 + 0.586581i 0.00539592 + 0.0248766i
\(557\) 27.0955 7.26022i 1.14807 0.307625i 0.365881 0.930662i \(-0.380768\pi\)
0.782193 + 0.623036i \(0.214101\pi\)
\(558\) 1.16021 31.1528i 0.0491158 1.31880i
\(559\) −22.4790 38.9348i −0.950760 1.64676i
\(560\) −1.11201 0.655636i −0.0469911 0.0277057i
\(561\) −10.2030 + 7.04486i −0.430769 + 0.297434i
\(562\) −23.0937 + 37.8620i −0.974148 + 1.59711i
\(563\) −12.5075 5.83235i −0.527129 0.245804i 0.140788 0.990040i \(-0.455036\pi\)
−0.667917 + 0.744235i \(0.732814\pi\)
\(564\) 0.996222 18.1733i 0.0419485 0.765234i
\(565\) −30.1726 21.1271i −1.26937 0.888824i
\(566\) 17.5664 23.8431i 0.738369 1.00220i
\(567\) 1.13071 + 0.230129i 0.0474853 + 0.00966449i
\(568\) 10.5916 + 21.8539i 0.444415 + 0.916968i
\(569\) 2.72011 0.479629i 0.114033 0.0201071i −0.116340 0.993209i \(-0.537116\pi\)
0.230373 + 0.973102i \(0.426005\pi\)
\(570\) 2.22364 10.6842i 0.0931381 0.447510i
\(571\) −2.33790 + 5.01364i −0.0978380 + 0.209814i −0.949135 0.314870i \(-0.898039\pi\)
0.851297 + 0.524685i \(0.175817\pi\)
\(572\) 51.0692 + 21.4273i 2.13531 + 0.895921i
\(573\) 45.0679 + 8.25200i 1.88274 + 0.344732i
\(574\) −0.539493 0.108593i −0.0225180 0.00453259i
\(575\) −0.894008 1.54847i −0.0372827 0.0645755i
\(576\) 7.82832 22.6874i 0.326180 0.945308i
\(577\) −18.0534 + 31.2694i −0.751573 + 1.30176i 0.195487 + 0.980706i \(0.437371\pi\)
−0.947060 + 0.321057i \(0.895962\pi\)
\(578\) −14.7846 + 16.7811i −0.614957 + 0.698003i
\(579\) 0.131689 20.0661i 0.00547281 0.833918i
\(580\) 3.64253 + 28.6793i 0.151248 + 1.19084i
\(581\) −0.433183 0.618649i −0.0179715 0.0256659i
\(582\) −21.0228 + 16.5690i −0.871424 + 0.686806i
\(583\) 21.2398 + 25.3126i 0.879661 + 1.04834i
\(584\) −27.2316 1.97230i −1.12685 0.0816145i
\(585\) 31.8044 + 0.417468i 1.31495 + 0.0172602i
\(586\) 12.9025 + 1.44288i 0.532997 + 0.0596048i
\(587\) 18.2627 8.51604i 0.753783 0.351495i −0.00745115 0.999972i \(-0.502372\pi\)
0.761234 + 0.648478i \(0.224594\pi\)
\(588\) 9.50597 22.2459i 0.392019 0.917404i
\(589\) 1.13349 + 12.9559i 0.0467047 + 0.533837i
\(590\) −14.6419 26.8337i −0.602796 1.10473i
\(591\) −3.82633 + 5.38894i −0.157394 + 0.221672i
\(592\) −4.41845 0.0403611i −0.181597 0.00165883i
\(593\) −34.1474 −1.40227 −0.701133 0.713031i \(-0.747322\pi\)
−0.701133 + 0.713031i \(0.747322\pi\)
\(594\) −35.6236 + 32.6328i −1.46165 + 1.33894i
\(595\) −0.248479 0.248479i −0.0101866 0.0101866i
\(596\) −25.1538 8.05744i −1.03034 0.330046i
\(597\) −30.2687 + 25.0618i −1.23881 + 1.02571i
\(598\) −2.24810 + 7.64782i −0.0919316 + 0.312743i
\(599\) −1.36072 + 1.62164i −0.0555975 + 0.0662585i −0.793126 0.609057i \(-0.791548\pi\)
0.737529 + 0.675315i \(0.235993\pi\)
\(600\) 4.58938 4.66717i 0.187361 0.190536i
\(601\) −7.36531 + 20.2360i −0.300437 + 0.825444i 0.693987 + 0.719988i \(0.255853\pi\)
−0.994424 + 0.105456i \(0.966370\pi\)
\(602\) −0.215084 + 1.92333i −0.00876618 + 0.0783889i
\(603\) −21.0974 2.12515i −0.859154 0.0865429i
\(604\) −14.6056 3.30804i −0.594293 0.134602i
\(605\) −80.7973 7.06885i −3.28488 0.287390i
\(606\) −28.2270 + 12.1233i −1.14664 + 0.492474i
\(607\) 5.05003 28.6402i 0.204975 1.16247i −0.692505 0.721413i \(-0.743493\pi\)
0.897480 0.441056i \(-0.145396\pi\)
\(608\) −2.06531 + 9.79703i −0.0837593 + 0.397322i
\(609\) 1.23391 0.321960i 0.0500004 0.0130465i
\(610\) −30.0021 + 34.0537i −1.21475 + 1.37879i
\(611\) −21.3762 + 5.72774i −0.864788 + 0.231719i
\(612\) 3.60719 5.44704i 0.145812 0.220183i
\(613\) 5.27219 + 1.41268i 0.212942 + 0.0570575i 0.363713 0.931511i \(-0.381509\pi\)
−0.150771 + 0.988569i \(0.548176\pi\)
\(614\) −8.06158 12.1249i −0.325339 0.489319i
\(615\) 5.67093 11.9559i 0.228674 0.482107i
\(616\) −1.22279 2.04658i −0.0492675 0.0824589i
\(617\) −0.449471 1.23491i −0.0180950 0.0497157i 0.930316 0.366758i \(-0.119532\pi\)
−0.948411 + 0.317043i \(0.897310\pi\)
\(618\) 28.2995 31.6992i 1.13837 1.27513i
\(619\) 10.6558 + 7.46125i 0.428292 + 0.299893i 0.767776 0.640719i \(-0.221364\pi\)
−0.339484 + 0.940612i \(0.610252\pi\)
\(620\) −17.2305 + 32.7336i −0.691993 + 1.31461i
\(621\) −5.23774 4.57368i −0.210183 0.183536i
\(622\) −5.51861 36.4078i −0.221276 1.45982i
\(623\) 0.0659281 + 0.373897i 0.00264135 + 0.0149799i
\(624\) −29.1782 0.458051i −1.16806 0.0183367i
\(625\) −28.0925 + 10.2248i −1.12370 + 0.408993i
\(626\) 14.8261 24.3073i 0.592569 0.971515i
\(627\) 13.0560 15.3538i 0.521408 0.613172i
\(628\) 23.6304 + 26.0257i 0.942956 + 1.03854i
\(629\) −1.16183 0.311312i −0.0463253 0.0124128i
\(630\) −1.09158 0.826544i −0.0434898 0.0329303i
\(631\) −13.0221 7.51829i −0.518400 0.299299i 0.217880 0.975976i \(-0.430086\pi\)
−0.736280 + 0.676677i \(0.763419\pi\)
\(632\) 4.11780 9.18716i 0.163797 0.365446i
\(633\) 23.4490 + 6.44836i 0.932012 + 0.256299i
\(634\) 17.9669 17.1211i 0.713556 0.679965i
\(635\) 4.32025 + 6.16995i 0.171444 + 0.244847i
\(636\) −15.3533 8.21091i −0.608800 0.325584i
\(637\) −29.3031 2.56369i −1.16103 0.101577i
\(638\) −19.4644 + 49.7162i −0.770602 + 1.96828i
\(639\) 8.49145 + 24.3186i 0.335917 + 0.962027i
\(640\) −20.0195 + 20.2544i −0.791342 + 0.800625i
\(641\) 3.49612 + 1.27248i 0.138088 + 0.0502601i 0.410140 0.912023i \(-0.365480\pi\)
−0.272051 + 0.962283i \(0.587702\pi\)
\(642\) −20.4661 + 19.2479i −0.807731 + 0.759655i
\(643\) −2.92635 33.4483i −0.115404 1.31907i −0.804305 0.594216i \(-0.797462\pi\)
0.688901 0.724855i \(-0.258093\pi\)
\(644\) 0.273187 0.207649i 0.0107651 0.00818250i
\(645\) −43.6239 16.2028i −1.71769 0.637985i
\(646\) −1.21104 + 2.44167i −0.0476477 + 0.0960664i
\(647\) 20.6844i 0.813188i −0.913609 0.406594i \(-0.866716\pi\)
0.913609 0.406594i \(-0.133284\pi\)
\(648\) 11.0178 22.9480i 0.432819 0.901481i
\(649\) 56.4542i 2.21602i
\(650\) −7.13003 3.53640i −0.279663 0.138709i
\(651\) 1.52961 + 0.568129i 0.0599502 + 0.0222667i
\(652\) 23.0101 + 3.13632i 0.901147 + 0.122828i
\(653\) 2.67434 + 30.5679i 0.104655 + 1.19621i 0.848990 + 0.528408i \(0.177211\pi\)
−0.744335 + 0.667806i \(0.767234\pi\)
\(654\) −9.65918 10.2705i −0.377704 0.401607i
\(655\) 20.5389 + 7.47556i 0.802522 + 0.292094i
\(656\) −5.23105 + 10.9556i −0.204238 + 0.427745i
\(657\) −28.4508 5.40259i −1.10997 0.210775i
\(658\) 0.887083 + 0.347302i 0.0345821 + 0.0135392i
\(659\) 19.0049 + 1.66271i 0.740325 + 0.0647700i 0.451078 0.892485i \(-0.351040\pi\)
0.289247 + 0.957255i \(0.406595\pi\)
\(660\) 54.8611 16.6287i 2.13546 0.647270i
\(661\) 11.5847 + 16.5446i 0.450591 + 0.643511i 0.978611 0.205722i \(-0.0659541\pi\)
−0.528020 + 0.849232i \(0.677065\pi\)
\(662\) −9.95559 10.4474i −0.386935 0.406050i
\(663\) −7.65938 2.10630i −0.297466 0.0818018i
\(664\) −15.5693 + 5.93209i −0.604205 + 0.230210i
\(665\) 0.494681 + 0.285604i 0.0191829 + 0.0110753i
\(666\) −4.65040 0.581947i −0.180199 0.0225500i
\(667\) −7.42289 1.98896i −0.287416 0.0770128i
\(668\) 0.322820 6.69227i 0.0124903 0.258932i
\(669\) −7.33408 + 8.62483i −0.283552 + 0.333455i
\(670\) 21.4805 + 13.1019i 0.829865 + 0.506171i
\(671\) −78.7623 + 28.6671i −3.04058 + 1.10668i
\(672\) 0.999533 + 0.760895i 0.0385578 + 0.0293522i
\(673\) 1.41061 + 7.99996i 0.0543750 + 0.308376i 0.999850 0.0173187i \(-0.00551297\pi\)
−0.945475 + 0.325695i \(0.894402\pi\)
\(674\) 23.0063 3.48725i 0.886170 0.134324i
\(675\) 5.40521 4.35709i 0.208047 0.167704i
\(676\) 2.81010 + 9.05653i 0.108081 + 0.348328i
\(677\) −32.7003 22.8970i −1.25677 0.880003i −0.260435 0.965491i \(-0.583866\pi\)
−0.996339 + 0.0854882i \(0.972755\pi\)
\(678\) 26.7386 + 23.8709i 1.02689 + 0.916755i
\(679\) −0.479184 1.31655i −0.0183894 0.0505245i
\(680\) −6.65489 + 3.97616i −0.255203 + 0.152479i
\(681\) 9.83614 20.7373i 0.376922 0.794654i
\(682\) −56.8895 + 37.8247i −2.17841 + 1.44838i
\(683\) −26.8524 7.19507i −1.02748 0.275312i −0.294563 0.955632i \(-0.595174\pi\)
−0.732915 + 0.680320i \(0.761841\pi\)
\(684\) −3.37209 + 10.0701i −0.128935 + 0.385040i
\(685\) 23.4338 6.27907i 0.895360 0.239911i
\(686\) 1.90243 + 1.67609i 0.0726350 + 0.0639932i
\(687\) −6.52168 + 1.70169i −0.248817 + 0.0649233i
\(688\) 39.9849 + 14.9683i 1.52441 + 0.570662i
\(689\) −3.67618 + 20.8486i −0.140051 + 0.794269i
\(690\) 3.25618 + 7.58148i 0.123961 + 0.288622i
\(691\) −35.2927 3.08771i −1.34260 0.117462i −0.606903 0.794776i \(-0.707588\pi\)
−0.735694 + 0.677314i \(0.763144\pi\)
\(692\) −15.7207 + 9.91455i −0.597612 + 0.376895i
\(693\) −1.03849 2.30558i −0.0394489 0.0875816i
\(694\) 44.3227 + 4.95658i 1.68247 + 0.188149i
\(695\) 0.258371 0.709870i 0.00980059 0.0269269i
\(696\) −0.236398 28.1315i −0.00896064 1.06632i
\(697\) −2.12428 + 2.53162i −0.0804629 + 0.0958919i
\(698\) 11.9432 + 3.51074i 0.452058 + 0.132884i
\(699\) −4.57102 + 3.78470i −0.172892 + 0.143151i
\(700\) 0.156808 + 0.304615i 0.00592680 + 0.0115134i
\(701\) 9.14264 + 9.14264i 0.345313 + 0.345313i 0.858360 0.513047i \(-0.171483\pi\)
−0.513047 + 0.858360i \(0.671483\pi\)
\(702\) −30.6866 4.04480i −1.15819 0.152661i
\(703\) 1.95519 0.0737415
\(704\) −50.3720 + 15.1267i −1.89847 + 0.570107i
\(705\) −13.2617 + 18.6776i −0.499466 + 0.703440i
\(706\) 13.1239 7.16107i 0.493924 0.269510i
\(707\) −0.140142 1.60183i −0.00527057 0.0602429i
\(708\) 11.0770 + 27.6073i 0.416299 + 1.03755i
\(709\) −17.6610 + 8.23546i −0.663273 + 0.309289i −0.724944 0.688807i \(-0.758135\pi\)
0.0616717 + 0.998096i \(0.480357\pi\)
\(710\) 3.39689 30.3757i 0.127483 1.13998i
\(711\) 5.46016 9.17697i 0.204772 0.344163i
\(712\) 8.35387 + 0.605045i 0.313074 + 0.0226750i
\(713\) −6.32057 7.53256i −0.236707 0.282097i
\(714\) 0.211670 + 0.268568i 0.00792155 + 0.0100509i
\(715\) −39.9800 57.0974i −1.49517 2.13532i
\(716\) −11.4241 + 14.7482i −0.426937 + 0.551165i
\(717\) 0.219937 33.5129i 0.00821371 1.25156i
\(718\) 39.8269 + 35.0885i 1.48633 + 1.30949i
\(719\) −10.4756 + 18.1442i −0.390672 + 0.676665i −0.992538 0.121933i \(-0.961091\pi\)
0.601866 + 0.798597i \(0.294424\pi\)
\(720\) −23.5655 + 18.8962i −0.878236 + 0.704219i
\(721\) 1.11209 + 1.92619i 0.0414163 + 0.0717351i
\(722\) −4.42802 + 21.9985i −0.164794 + 0.818699i
\(723\) 20.8470 + 3.81712i 0.775308 + 0.141960i
\(724\) −8.27640 + 3.38399i −0.307590 + 0.125765i
\(725\) 3.24261 6.95379i 0.120427 0.258257i
\(726\) 77.2696 + 16.0818i 2.86775 + 0.596850i
\(727\) −13.3954 + 2.36196i −0.496806 + 0.0876003i −0.416436 0.909165i \(-0.636721\pi\)
−0.0803696 + 0.996765i \(0.525610\pi\)
\(728\) 0.500871 1.44296i 0.0185635 0.0534798i
\(729\) 14.4100 22.8331i 0.533704 0.845671i
\(730\) 27.6654 + 20.3824i 1.02394 + 0.754387i
\(731\) 9.52030 + 6.66618i 0.352121 + 0.246558i
\(732\) 32.8917 29.4730i 1.21571 1.08935i
\(733\) −24.1978 11.2836i −0.893768 0.416771i −0.0792132 0.996858i \(-0.525241\pi\)
−0.814555 + 0.580087i \(0.803019\pi\)
\(734\) 5.03039 + 3.06826i 0.185675 + 0.113251i
\(735\) −25.0551 + 17.2998i −0.924170 + 0.638113i
\(736\) −2.96953 6.96337i −0.109458 0.256673i
\(737\) 23.2337 + 40.2420i 0.855825 + 1.48233i
\(738\) −6.84899 + 10.9043i −0.252115 + 0.401394i
\(739\) 9.66266 2.58910i 0.355447 0.0952416i −0.0766771 0.997056i \(-0.524431\pi\)
0.432124 + 0.901814i \(0.357764\pi\)
\(740\) 4.67659 + 3.00943i 0.171915 + 0.110629i
\(741\) 12.9123 + 0.0847405i 0.474346 + 0.00311302i
\(742\) 0.659742 0.628684i 0.0242199 0.0230797i
\(743\) 37.3181 + 6.58018i 1.36907 + 0.241404i 0.809373 0.587295i \(-0.199807\pi\)
0.559695 + 0.828699i \(0.310918\pi\)
\(744\) 20.3985 29.6595i 0.747847 1.08737i
\(745\) 21.3680 + 25.4653i 0.782861 + 0.932978i
\(746\) 13.5547 + 30.9971i 0.496271 + 1.13489i
\(747\) −17.1282 + 4.34935i −0.626687 + 0.159135i
\(748\) −14.3060 + 0.559163i −0.523079 + 0.0204450i
\(749\) −0.621480 1.33277i −0.0227084 0.0486983i
\(750\) 21.9899 5.17516i 0.802958 0.188970i
\(751\) 19.9262 + 16.7201i 0.727119 + 0.610125i 0.929344 0.369214i \(-0.120373\pi\)
−0.202226 + 0.979339i \(0.564817\pi\)
\(752\) 12.2112 17.1047i 0.445295 0.623743i
\(753\) 30.7422 43.2969i 1.12031 1.57783i
\(754\) −32.4162 + 10.9213i −1.18053 + 0.397731i
\(755\) 13.3275 + 13.3275i 0.485037 + 0.485037i
\(756\) 0.960226 + 0.923714i 0.0349231 + 0.0335952i
\(757\) −7.17745 + 7.17745i −0.260869 + 0.260869i −0.825407 0.564538i \(-0.809054\pi\)
0.564538 + 0.825407i \(0.309054\pi\)
\(758\) −35.9738 17.8426i −1.30663 0.648072i
\(759\) −1.42770 + 15.1713i −0.0518222 + 0.550682i
\(760\) 8.77617 9.04286i 0.318345 0.328019i
\(761\) 8.44073 10.0593i 0.305976 0.364648i −0.591043 0.806640i \(-0.701284\pi\)
0.897019 + 0.441992i \(0.145728\pi\)
\(762\) −3.46848 6.45701i −0.125650 0.233913i
\(763\) 0.668822 0.311877i 0.0242130 0.0112907i
\(764\) 38.8420 + 35.9199i 1.40526 + 1.29954i
\(765\) −7.49708 + 3.37687i −0.271058 + 0.122091i
\(766\) −4.00168 + 10.2211i −0.144587 + 0.369305i
\(767\) 27.7073 23.2492i 1.00045 0.839478i
\(768\) 21.6650 17.2809i 0.781768 0.623569i
\(769\) −0.734380 + 4.16487i −0.0264824 + 0.150189i −0.995182 0.0980480i \(-0.968740\pi\)
0.968699 + 0.248237i \(0.0798512\pi\)
\(770\) −0.0723062 + 2.99965i −0.00260573 + 0.108100i
\(771\) 30.5850 + 17.9269i 1.10149 + 0.645622i
\(772\) 12.5388 19.4850i 0.451281 0.701281i
\(773\) −6.10028 22.7666i −0.219412 0.818856i −0.984567 0.175010i \(-0.944004\pi\)
0.765155 0.643846i \(-0.222662\pi\)
\(774\) 40.3011 + 20.6523i 1.44859 + 0.742332i
\(775\) 8.50229 4.90880i 0.305411 0.176329i
\(776\) −30.7469 + 3.15432i −1.10375 + 0.113233i
\(777\) 0.105128 0.221639i 0.00377145 0.00795125i
\(778\) −17.1345 + 4.15133i −0.614301 + 0.148833i
\(779\) 2.27030 4.86867i 0.0813418 0.174438i
\(780\) 30.7543 + 20.0773i 1.10118 + 0.718884i
\(781\) 32.3771 46.2393i 1.15854 1.65457i
\(782\) −0.308828 2.03742i −0.0110437 0.0728580i
\(783\) 3.18533 29.6685i 0.113834 1.06026i
\(784\) 23.0278 15.8127i 0.822421 0.564741i
\(785\) −7.68270 43.5708i −0.274207 1.55511i
\(786\) −18.9920 9.57561i −0.677423 0.341551i
\(787\) 45.7514 + 21.3342i 1.63086 + 0.760484i 0.999883 0.0153153i \(-0.00487519\pi\)
0.630980 + 0.775799i \(0.282653\pi\)
\(788\) −7.06399 + 2.88827i −0.251644 + 0.102890i
\(789\) 18.8551 + 16.0334i 0.671260 + 0.570803i
\(790\) −10.5517 + 7.01562i −0.375413 + 0.249605i
\(791\) −1.62476 + 0.938056i −0.0577698 + 0.0333534i
\(792\) −54.9192 + 9.78799i −1.95147 + 0.347801i
\(793\) −46.5058 26.8501i −1.65147 0.953476i
\(794\) −35.7385 + 2.26048i −1.26831 + 0.0802213i
\(795\) 10.8318 + 19.0489i 0.384165 + 0.675595i
\(796\) −45.0151 + 5.71732i −1.59552 + 0.202645i
\(797\) 23.7082 16.6007i 0.839789 0.588026i −0.0725954 0.997361i \(-0.523128\pi\)
0.912384 + 0.409335i \(0.134239\pi\)
\(798\) −0.445338 0.332633i −0.0157648 0.0117751i
\(799\) 4.38248 3.67734i 0.155041 0.130095i
\(800\) 7.36164 1.71254i 0.260273 0.0605473i
\(801\) 8.72786 + 1.65736i 0.308384 + 0.0585598i
\(802\) 8.79647 + 11.0116i 0.310614 + 0.388833i
\(803\) 26.8202 + 57.5160i 0.946463 + 2.02970i
\(804\) −19.2578 15.1205i −0.679169 0.533258i
\(805\) −0.430234 + 0.0376406i −0.0151638 + 0.00132666i
\(806\) −41.9925 12.3438i −1.47912 0.434792i
\(807\) −3.25100 + 1.49007i −0.114440 + 0.0524529i
\(808\) −35.0221 5.63629i −1.23207 0.198284i
\(809\) 0.371242i 0.0130522i −0.999979 0.00652608i \(-0.997923\pi\)
0.999979 0.00652608i \(-0.00207733\pi\)
\(810\) −27.1358 + 17.0322i −0.953456 + 0.598452i
\(811\) 14.0738 14.0738i 0.494199 0.494199i −0.415427 0.909626i \(-0.636368\pi\)
0.909626 + 0.415427i \(0.136368\pi\)
\(812\) 1.40231 + 0.449197i 0.0492113 + 0.0157637i
\(813\) 12.8910 34.7074i 0.452108 1.21724i
\(814\) 4.91942 + 9.01568i 0.172426 + 0.315999i
\(815\) −22.3899 18.7874i −0.784284 0.658092i
\(816\) 6.88623 3.08045i 0.241066 0.107837i
\(817\) −17.7526 6.46141i −0.621085 0.226056i
\(818\) 13.0360 10.4137i 0.455794 0.364106i
\(819\) 0.703885 1.45917i 0.0245957 0.0509876i
\(820\) 12.9241 8.15083i 0.451330 0.284639i
\(821\) −1.21194 + 13.8526i −0.0422971 + 0.483458i 0.945273 + 0.326280i \(0.105795\pi\)
−0.987570 + 0.157178i \(0.949760\pi\)
\(822\) −23.3643 + 3.38481i −0.814924 + 0.118059i
\(823\) 16.8135 + 2.96468i 0.586083 + 0.103342i 0.458824 0.888527i \(-0.348271\pi\)
0.127259 + 0.991870i \(0.459382\pi\)
\(824\) 47.2000 13.4074i 1.64429 0.467069i
\(825\) −14.6698 4.03412i −0.510735 0.140450i
\(826\) −1.55388 + 0.0982835i −0.0540664 + 0.00341972i
\(827\) −1.59364 5.94756i −0.0554164 0.206817i 0.932666 0.360740i \(-0.117476\pi\)
−0.988083 + 0.153923i \(0.950809\pi\)
\(828\) −2.27861 7.69921i −0.0791871 0.267566i
\(829\) 3.14422 11.7344i 0.109203 0.407552i −0.889585 0.456770i \(-0.849006\pi\)
0.998788 + 0.0492180i \(0.0156729\pi\)
\(830\) 20.5570 + 4.13787i 0.713545 + 0.143628i
\(831\) −3.12588 38.6487i −0.108436 1.34071i
\(832\) −28.1684 18.4927i −0.976565 0.641118i
\(833\) 7.14552 2.60076i 0.247578 0.0901109i
\(834\) −0.330954 + 0.656405i −0.0114600 + 0.0227295i
\(835\) −4.83672 + 6.90755i −0.167382 + 0.239046i
\(836\) 22.2269 6.89667i 0.768734 0.238526i
\(837\) 25.1131 28.7592i 0.868035 0.994065i
\(838\) −33.9821 25.0362i −1.17389 0.864861i
\(839\) −2.94699 + 0.519633i −0.101741 + 0.0179397i −0.224287 0.974523i \(-0.572005\pi\)
0.122546 + 0.992463i \(0.460894\pi\)
\(840\) −0.553208 1.48108i −0.0190875 0.0511022i
\(841\) −1.36003 3.73665i −0.0468976 0.128850i
\(842\) 21.8481 5.29335i 0.752936 0.182421i
\(843\) −51.1616 + 18.2420i −1.76210 + 0.628286i
\(844\) 18.8769 + 20.7904i 0.649771 + 0.715635i
\(845\) 3.08887 11.5278i 0.106260 0.396569i
\(846\) 14.9540 16.5309i 0.514130 0.568343i
\(847\) −2.06554 + 3.57761i −0.0709727 + 0.122928i
\(848\) −9.89281 17.5021i −0.339720 0.601026i
\(849\) 35.0962 9.15758i 1.20450 0.314287i
\(850\) 2.05686 + 0.0495803i 0.0705496 + 0.00170059i
\(851\) −1.21093 + 0.847905i −0.0415103 + 0.0290658i
\(852\) −6.76041 + 28.9648i −0.231608 + 0.992317i
\(853\) −2.84330 + 32.4991i −0.0973529 + 1.11275i 0.777672 + 0.628670i \(0.216401\pi\)
−0.875025 + 0.484078i \(0.839155\pi\)
\(854\) 0.926173 + 2.11799i 0.0316930 + 0.0724763i
\(855\) 10.3507 8.45623i 0.353985 0.289197i
\(856\) −31.8608 + 6.11091i −1.08898 + 0.208867i
\(857\) 5.90001 16.2101i 0.201540 0.553728i −0.797210 0.603702i \(-0.793692\pi\)
0.998751 + 0.0499742i \(0.0159139\pi\)
\(858\) 32.0977 + 59.7538i 1.09580 + 2.03996i
\(859\) 20.5345 1.79653i 0.700627 0.0612970i 0.268725 0.963217i \(-0.413398\pi\)
0.431903 + 0.901920i \(0.357842\pi\)
\(860\) −32.5167 42.7797i −1.10881 1.45878i
\(861\) −0.429837 0.519141i −0.0146488 0.0176923i
\(862\) 5.12735 + 15.2188i 0.174638 + 0.518353i
\(863\) 14.3095 0.487102 0.243551 0.969888i \(-0.421688\pi\)
0.243551 + 0.969888i \(0.421688\pi\)
\(864\) 24.9362 15.5624i 0.848346 0.529442i
\(865\) 23.3920 0.795352
\(866\) 4.98969 + 14.8102i 0.169556 + 0.503270i
\(867\) −27.0058 + 4.57932i −0.917166 + 0.155522i
\(868\) 1.14015 + 1.50001i 0.0386993 + 0.0509137i
\(869\) −23.3121 + 2.03954i −0.790808 + 0.0691868i
\(870\) −18.6353 + 30.1062i −0.631794 + 1.02070i
\(871\) −10.1823 + 27.9755i −0.345013 + 0.947915i
\(872\) −3.06664 15.9887i −0.103849 0.541446i
\(873\) −32.7803 0.430277i −1.10945 0.0145627i
\(874\) 1.34207 + 3.06908i 0.0453961 + 0.103813i
\(875\) −0.103055 + 1.17793i −0.00348391 + 0.0398213i
\(876\) −24.4010 22.8642i −0.824433 0.772509i
\(877\) 41.1635 28.8230i 1.38999 0.973282i 0.391400 0.920221i \(-0.371991\pi\)
0.998591 0.0530615i \(-0.0168979\pi\)
\(878\) 28.4382 + 0.685499i 0.959742 + 0.0231345i
\(879\) 11.1695 + 11.3171i 0.376738 + 0.381716i
\(880\) 63.7795 + 17.7156i 2.15001 + 0.597194i
\(881\) 25.9731 44.9868i 0.875057 1.51564i 0.0183557 0.999832i \(-0.494157\pi\)
0.856702 0.515812i \(-0.172510\pi\)
\(882\) 26.1928 13.8492i 0.881958 0.466325i
\(883\) −6.63942 + 24.7786i −0.223434 + 0.833868i 0.759592 + 0.650400i \(0.225399\pi\)
−0.983026 + 0.183467i \(0.941268\pi\)
\(884\) −6.16598 6.79099i −0.207384 0.228406i
\(885\) 6.74297 36.8264i 0.226663 1.23791i
\(886\) −2.57573 + 0.624046i −0.0865333 + 0.0209652i
\(887\) −2.04996 5.63221i −0.0688309 0.189111i 0.900508 0.434840i \(-0.143195\pi\)
−0.969339 + 0.245729i \(0.920973\pi\)
\(888\) −4.17469 3.44362i −0.140093 0.115560i
\(889\) 0.377815 0.0666189i 0.0126715 0.00223433i
\(890\) −8.48693 6.25273i −0.284483 0.209592i
\(891\) −59.0584 + 3.60797i −1.97853 + 0.120872i
\(892\) −12.4857 + 3.87412i −0.418052 + 0.129715i
\(893\) −5.33393 + 7.61764i −0.178493 + 0.254915i
\(894\) −17.7334 27.0551i −0.593095 0.904857i
\(895\) 22.0632 8.03033i 0.737490 0.268424i
\(896\) 0.504050 + 1.36014i 0.0168391 + 0.0454390i
\(897\) −8.03390 + 5.54718i −0.268244 + 0.185215i
\(898\) 14.3891 + 2.89635i 0.480172 + 0.0966525i
\(899\) 10.9209 40.7575i 0.364233 1.35934i
\(900\) 7.96537 0.905609i 0.265512 0.0301870i
\(901\) −1.41645 5.28627i −0.0471888 0.176111i
\(902\) 28.1624 1.78128i 0.937705 0.0593102i
\(903\) −1.68699 + 1.66500i −0.0561397 + 0.0554076i
\(904\) 11.3093 + 39.8137i 0.376141 + 1.32418i
\(905\) 11.0826 + 1.95417i 0.368399 + 0.0649587i
\(906\) −11.3532 14.4050i −0.377185 0.478574i
\(907\) −3.46306 + 39.5829i −0.114989 + 1.31433i 0.691197 + 0.722666i \(0.257084\pi\)
−0.806186 + 0.591662i \(0.798472\pi\)
\(908\) 22.4167 14.1375i 0.743925 0.469170i
\(909\) −36.2115 10.2141i −1.20106 0.338780i
\(910\) −1.50198 + 1.19984i −0.0497902 + 0.0397743i
\(911\) −5.54434 2.01797i −0.183692 0.0668585i 0.248536 0.968623i \(-0.420050\pi\)
−0.432229 + 0.901764i \(0.642273\pi\)
\(912\) −9.51625 + 7.73381i −0.315114 + 0.256092i
\(913\) 29.6661 + 24.8928i 0.981805 + 0.823832i
\(914\) 2.34973 + 4.30627i 0.0777220 + 0.142439i
\(915\) −54.8025 + 9.29276i −1.81172 + 0.307209i
\(916\) −7.41174 2.37418i −0.244891 0.0784452i
\(917\) 0.787204 0.787204i 0.0259958 0.0259958i
\(918\) 7.63148 2.40490i 0.251876 0.0793734i
\(919\) 11.8996i 0.392531i 0.980551 + 0.196266i \(0.0628814\pi\)
−0.980551 + 0.196266i \(0.937119\pi\)
\(920\) −1.51385 + 9.40657i −0.0499102 + 0.310125i
\(921\) 1.67076 17.7542i 0.0550535 0.585020i
\(922\) −25.7263 7.56232i −0.847251 0.249052i
\(923\) 36.0275 3.15200i 1.18586 0.103749i
\(924\) 0.413312 2.89045i 0.0135970 0.0950888i
\(925\) −0.623764 1.33767i −0.0205092 0.0439822i
\(926\) −11.0658 13.8524i −0.363645 0.455217i
\(927\) 51.3673 8.36383i 1.68712 0.274704i
\(928\) 17.1681 27.5772i 0.563571 0.905266i
\(929\) −37.2477 + 31.2545i −1.22206 + 1.02543i −0.223342 + 0.974740i \(0.571697\pi\)
−0.998715 + 0.0506868i \(0.983859\pi\)
\(930\) −41.6282 + 17.8790i −1.36504 + 0.586275i
\(931\) −10.1252 + 7.08973i −0.331839 + 0.232356i
\(932\) −6.79795 + 0.863400i −0.222674 + 0.0282816i
\(933\) 22.8056 38.9086i 0.746623 1.27381i
\(934\) −36.2714 + 2.29418i −1.18684 + 0.0750679i
\(935\) 15.6049 + 9.00951i 0.510335 + 0.294642i
\(936\) −27.4209 22.9230i −0.896280 0.749262i
\(937\) −19.6098 + 11.3217i −0.640625 + 0.369865i −0.784855 0.619679i \(-0.787263\pi\)
0.144230 + 0.989544i \(0.453929\pi\)
\(938\) 1.06720 0.709559i 0.0348452 0.0231679i
\(939\) 32.8456 11.7113i 1.07187 0.382183i
\(940\) −24.4832 + 10.0105i −0.798553 + 0.326507i
\(941\) −10.3990 4.84914i −0.338998 0.158077i 0.245663 0.969355i \(-0.420994\pi\)
−0.584661 + 0.811278i \(0.698772\pi\)
\(942\) 2.43568 + 42.9845i 0.0793587 + 1.40051i
\(943\) 0.705295 + 3.99993i 0.0229676 + 0.130256i
\(944\) −6.27329 + 33.7708i −0.204178 + 1.09914i
\(945\) −0.402049 1.62802i −0.0130787 0.0529595i
\(946\) −14.8724 98.1172i −0.483543 3.19007i
\(947\) 3.48704 4.98001i 0.113314 0.161829i −0.758489 0.651686i \(-0.774062\pi\)
0.871803 + 0.489857i \(0.162951\pi\)
\(948\) 10.9999 5.57149i 0.357262 0.180954i
\(949\) −17.1832 + 36.8496i −0.557792 + 1.19619i
\(950\) −3.25038 + 0.787499i −0.105456 + 0.0255499i
\(951\) 30.2970 2.45040i 0.982446 0.0794597i
\(952\) 0.0402967 + 0.392794i 0.00130602 + 0.0127305i
\(953\) −32.2827 + 18.6384i −1.04574 + 0.603757i −0.921453 0.388489i \(-0.872997\pi\)
−0.124285 + 0.992247i \(0.539664\pi\)
\(954\) −8.28644 19.6482i −0.268283 0.636133i
\(955\) −17.2336 64.3165i −0.557665 2.08123i
\(956\) 20.9414 32.5424i 0.677292 1.05250i
\(957\) −56.8427 + 32.3226i −1.83746 + 1.04484i
\(958\) −0.497596 + 20.6429i −0.0160766 + 0.666943i
\(959\) 0.214575 1.21692i 0.00692899 0.0392963i
\(960\) −34.6656 + 3.85097i −1.11883 + 0.124289i
\(961\) 17.6122 14.7784i 0.568136 0.476723i
\(962\) −2.39889 + 6.12728i −0.0773434 + 0.197552i
\(963\) −34.3150 + 2.54882i −1.10578 + 0.0821347i
\(964\) 17.9671 + 16.6154i 0.578682 + 0.535147i
\(965\) −26.4301 + 12.3246i −0.850815 + 0.396741i
\(966\) 0.420069 + 0.0128846i 0.0135155 + 0.000414554i
\(967\) 33.0641 39.4043i 1.06327 1.26716i 0.101051 0.994881i \(-0.467779\pi\)
0.962219 0.272275i \(-0.0877761\pi\)
\(968\) 65.3995 + 63.4707i 2.10202 + 2.04003i
\(969\) −3.03449 + 1.39084i −0.0974820 + 0.0446801i
\(970\) 34.8495 + 17.2849i 1.11895 + 0.554985i
\(971\) −12.7504 + 12.7504i −0.409180 + 0.409180i −0.881452 0.472273i \(-0.843434\pi\)
0.472273 + 0.881452i \(0.343434\pi\)
\(972\) 28.1729 13.3523i 0.903648 0.428277i
\(973\) −0.0272075 0.0272075i −0.000872231 0.000872231i
\(974\) 21.9750 7.40358i 0.704124 0.237226i
\(975\) −4.06144 8.86115i −0.130070 0.283784i
\(976\) 50.3010 8.39641i 1.61010 0.268763i
\(977\) −4.69204 3.93709i −0.150112 0.125959i 0.564639 0.825338i \(-0.309015\pi\)
−0.714751 + 0.699379i \(0.753460\pi\)
\(978\) 19.4856 + 20.7188i 0.623080 + 0.662513i
\(979\) −8.22764 17.6442i −0.262956 0.563912i
\(980\) −35.1307 + 1.37312i −1.12221 + 0.0438626i
\(981\) −1.27907 17.2203i −0.0408377 0.549801i
\(982\) 2.42897 + 5.55464i 0.0775117 + 0.177256i
\(983\) 7.17379 + 8.54939i 0.228808 + 0.272683i 0.868218 0.496183i \(-0.165266\pi\)
−0.639410 + 0.768866i \(0.720821\pi\)
\(984\) −13.4225 + 6.39689i −0.427894 + 0.203925i
\(985\) 9.45913 + 1.66790i 0.301393 + 0.0531437i
\(986\) 6.40164 6.10029i 0.203870 0.194273i
\(987\) 0.576730 + 1.01424i 0.0183575 + 0.0322836i
\(988\) 12.5384 + 8.06859i 0.398900 + 0.256696i
\(989\) 13.7970 3.69691i 0.438720 0.117555i
\(990\) 65.0360 + 26.4518i 2.06698 + 0.840695i
\(991\) −1.02386 1.77337i −0.0325239 0.0563331i 0.849305 0.527902i \(-0.177021\pi\)
−0.881829 + 0.471569i \(0.843688\pi\)
\(992\) 38.2343 16.3050i 1.21394 0.517684i
\(993\) −1.42486 17.6171i −0.0452167 0.559062i
\(994\) −1.32909 0.810667i −0.0421560 0.0257128i
\(995\) 51.7596 + 24.1359i 1.64089 + 0.765159i
\(996\) −19.3917 6.35229i −0.614448 0.201280i
\(997\) −13.7451 9.62440i −0.435311 0.304808i 0.335303 0.942110i \(-0.391161\pi\)
−0.770614 + 0.637302i \(0.780050\pi\)
\(998\) 0.752002 + 0.554036i 0.0238042 + 0.0175377i
\(999\) −3.97809 4.13790i −0.125861 0.130917i
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 432.2.bg.a.13.43 840
16.5 even 4 inner 432.2.bg.a.229.38 yes 840
27.25 even 9 inner 432.2.bg.a.349.38 yes 840
432.133 even 36 inner 432.2.bg.a.133.43 yes 840
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
432.2.bg.a.13.43 840 1.1 even 1 trivial
432.2.bg.a.133.43 yes 840 432.133 even 36 inner
432.2.bg.a.229.38 yes 840 16.5 even 4 inner
432.2.bg.a.349.38 yes 840 27.25 even 9 inner