Properties

Label 483.2.bf.a.19.25
Level $483$
Weight $2$
Character 483.19
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 19.25
Character \(\chi\) \(=\) 483.19
Dual form 483.2.bf.a.178.25

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.63043 + 0.155687i) q^{2} +(0.690079 - 0.723734i) q^{3} +(0.670191 + 0.129169i) q^{4} +(3.55311 - 1.83175i) q^{5} +(1.23780 - 1.07256i) q^{6} +(-2.60509 + 0.462092i) q^{7} +(-2.07041 - 0.607927i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\) \(q+(1.63043 + 0.155687i) q^{2} +(0.690079 - 0.723734i) q^{3} +(0.670191 + 0.129169i) q^{4} +(3.55311 - 1.83175i) q^{5} +(1.23780 - 1.07256i) q^{6} +(-2.60509 + 0.462092i) q^{7} +(-2.07041 - 0.607927i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(6.07825 - 2.43337i) q^{10} +(0.0284877 + 0.298336i) q^{11} +(0.555969 - 0.395904i) q^{12} +(5.98866 + 0.861039i) q^{13} +(-4.31934 + 0.347828i) q^{14} +(1.12622 - 3.83556i) q^{15} +(-4.54827 - 1.82085i) q^{16} +(-0.680955 + 1.96749i) q^{17} +(0.0779316 - 1.63599i) q^{18} +(-0.499556 - 1.44337i) q^{19} +(2.61787 - 0.768675i) q^{20} +(-1.46328 + 2.20427i) q^{21} +0.490850i q^{22} +(-3.35233 + 3.42956i) q^{23} +(-1.86872 + 1.07891i) q^{24} +(6.36896 - 8.94395i) q^{25} +(9.63001 + 2.33622i) q^{26} +(-0.755750 - 0.654861i) q^{27} +(-1.80559 - 0.0268060i) q^{28} +(1.92778 + 2.22478i) q^{29} +(2.43337 - 6.07825i) q^{30} +(-6.99100 + 1.69600i) q^{31} +(-3.29625 - 1.69933i) q^{32} +(0.235575 + 0.185258i) q^{33} +(-1.41656 + 3.10183i) q^{34} +(-8.40971 + 6.41373i) q^{35} +(0.0971335 - 0.675578i) q^{36} +(1.65123 - 0.0786579i) q^{37} +(-0.589775 - 2.43109i) q^{38} +(4.75581 - 3.74001i) q^{39} +(-8.46995 + 1.63245i) q^{40} +(-3.47422 + 5.40599i) q^{41} +(-2.72895 + 3.36608i) q^{42} +(3.04969 + 10.3863i) q^{43} +(-0.0194436 + 0.203622i) q^{44} +(-1.99874 - 3.46192i) q^{45} +(-5.99967 + 5.06972i) q^{46} +(7.29260 + 4.21038i) q^{47} +(-4.45648 + 2.03521i) q^{48} +(6.57294 - 2.40758i) q^{49} +(11.7766 - 13.5909i) q^{50} +(0.954028 + 1.85056i) q^{51} +(3.90233 + 1.35061i) q^{52} +(-4.14772 - 5.27425i) q^{53} +(-1.13024 - 1.18536i) q^{54} +(0.647698 + 1.00784i) q^{55} +(5.67451 + 0.626983i) q^{56} +(-1.38935 - 0.634496i) q^{57} +(2.79673 + 3.92746i) q^{58} +(-5.21554 - 13.0278i) q^{59} +(1.25022 - 2.42509i) q^{60} +(-1.47992 + 1.41110i) q^{61} +(-11.6623 + 1.67679i) q^{62} +(0.585523 + 2.58015i) q^{63} +(3.13323 + 2.01361i) q^{64} +(22.8556 - 7.91038i) q^{65} +(0.355245 + 0.338725i) q^{66} +(2.46201 + 1.75319i) q^{67} +(-0.710509 + 1.23064i) q^{68} +(0.168713 + 4.79286i) q^{69} +(-14.7099 + 9.14784i) q^{70} +(-2.43876 - 5.34015i) q^{71} +(-0.508724 + 2.09699i) q^{72} +(-0.874119 + 4.53536i) q^{73} +(2.70446 + 0.128829i) q^{74} +(-2.07796 - 10.7815i) q^{75} +(-0.148360 - 1.03186i) q^{76} +(-0.212071 - 0.764028i) q^{77} +(8.33627 - 5.35739i) q^{78} +(-4.61874 + 5.87321i) q^{79} +(-19.4958 + 1.86163i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-6.50609 + 8.27317i) q^{82} +(1.72742 - 1.11015i) q^{83} +(-1.26540 + 1.28827i) q^{84} +(1.18445 + 8.23805i) q^{85} +(3.35528 + 17.4088i) q^{86} +(2.94047 + 0.140072i) q^{87} +(0.122385 - 0.634996i) q^{88} +(-0.749428 + 3.08919i) q^{89} +(-2.71982 - 5.95558i) q^{90} +(-15.9989 + 0.524228i) q^{91} +(-2.68970 + 1.86544i) q^{92} +(-3.59689 + 6.22999i) q^{93} +(11.2345 + 8.00008i) q^{94} +(-4.41888 - 4.21339i) q^{95} +(-3.50454 + 1.21293i) q^{96} +(-9.65292 - 6.20356i) q^{97} +(11.0915 - 2.90205i) q^{98} +(0.296643 - 0.0426508i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{15}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.63043 + 0.155687i 1.15288 + 0.110087i 0.653940 0.756546i \(-0.273115\pi\)
0.498945 + 0.866634i \(0.333721\pi\)
\(3\) 0.690079 0.723734i 0.398417 0.417848i
\(4\) 0.670191 + 0.129169i 0.335096 + 0.0645844i
\(5\) 3.55311 1.83175i 1.58900 0.819185i 0.589059 0.808090i \(-0.299499\pi\)
0.999938 0.0110947i \(-0.00353164\pi\)
\(6\) 1.23780 1.07256i 0.505329 0.437870i
\(7\) −2.60509 + 0.462092i −0.984630 + 0.174654i
\(8\) −2.07041 0.607927i −0.732000 0.214935i
\(9\) −0.0475819 0.998867i −0.0158606 0.332956i
\(10\) 6.07825 2.43337i 1.92211 0.769498i
\(11\) 0.0284877 + 0.298336i 0.00858935 + 0.0899518i 0.998750 0.0499831i \(-0.0159167\pi\)
−0.990161 + 0.139935i \(0.955311\pi\)
\(12\) 0.555969 0.395904i 0.160494 0.114288i
\(13\) 5.98866 + 0.861039i 1.66096 + 0.238809i 0.907912 0.419161i \(-0.137676\pi\)
0.753044 + 0.657971i \(0.228585\pi\)
\(14\) −4.31934 + 0.347828i −1.15439 + 0.0929611i
\(15\) 1.12622 3.83556i 0.290789 0.990337i
\(16\) −4.54827 1.82085i −1.13707 0.455213i
\(17\) −0.680955 + 1.96749i −0.165156 + 0.477187i −0.996963 0.0778783i \(-0.975185\pi\)
0.831807 + 0.555065i \(0.187307\pi\)
\(18\) 0.0779316 1.63599i 0.0183687 0.385606i
\(19\) −0.499556 1.44337i −0.114606 0.331132i 0.873081 0.487575i \(-0.162119\pi\)
−0.987687 + 0.156443i \(0.949997\pi\)
\(20\) 2.61787 0.768675i 0.585373 0.171881i
\(21\) −1.46328 + 2.20427i −0.319315 + 0.481011i
\(22\) 0.490850i 0.104650i
\(23\) −3.35233 + 3.42956i −0.699010 + 0.715112i
\(24\) −1.86872 + 1.07891i −0.381451 + 0.220231i
\(25\) 6.36896 8.94395i 1.27379 1.78879i
\(26\) 9.63001 + 2.33622i 1.88860 + 0.458170i
\(27\) −0.755750 0.654861i −0.145444 0.126028i
\(28\) −1.80559 0.0268060i −0.341225 0.00506586i
\(29\) 1.92778 + 2.22478i 0.357980 + 0.413131i 0.905962 0.423359i \(-0.139149\pi\)
−0.547982 + 0.836490i \(0.684604\pi\)
\(30\) 2.43337 6.07825i 0.444270 1.10973i
\(31\) −6.99100 + 1.69600i −1.25562 + 0.304610i −0.807770 0.589498i \(-0.799325\pi\)
−0.447850 + 0.894108i \(0.647810\pi\)
\(32\) −3.29625 1.69933i −0.582700 0.300403i
\(33\) 0.235575 + 0.185258i 0.0410083 + 0.0322493i
\(34\) −1.41656 + 3.10183i −0.242938 + 0.531960i
\(35\) −8.40971 + 6.41373i −1.42150 + 1.08412i
\(36\) 0.0971335 0.675578i 0.0161889 0.112596i
\(37\) 1.65123 0.0786579i 0.271461 0.0129313i 0.0885899 0.996068i \(-0.471764\pi\)
0.182871 + 0.983137i \(0.441461\pi\)
\(38\) −0.589775 2.43109i −0.0956742 0.394374i
\(39\) 4.75581 3.74001i 0.761539 0.598881i
\(40\) −8.46995 + 1.63245i −1.33922 + 0.258113i
\(41\) −3.47422 + 5.40599i −0.542582 + 0.844273i −0.998964 0.0455104i \(-0.985509\pi\)
0.456382 + 0.889784i \(0.349145\pi\)
\(42\) −2.72895 + 3.36608i −0.421086 + 0.519398i
\(43\) 3.04969 + 10.3863i 0.465073 + 1.58389i 0.774245 + 0.632886i \(0.218130\pi\)
−0.309172 + 0.951006i \(0.600052\pi\)
\(44\) −0.0194436 + 0.203622i −0.00293123 + 0.0306972i
\(45\) −1.99874 3.46192i −0.297955 0.516073i
\(46\) −5.99967 + 5.06972i −0.884602 + 0.747490i
\(47\) 7.29260 + 4.21038i 1.06373 + 0.614148i 0.926463 0.376386i \(-0.122833\pi\)
0.137272 + 0.990533i \(0.456167\pi\)
\(48\) −4.45648 + 2.03521i −0.643237 + 0.293757i
\(49\) 6.57294 2.40758i 0.938992 0.343939i
\(50\) 11.7766 13.5909i 1.66546 1.92204i
\(51\) 0.954028 + 1.85056i 0.133591 + 0.259130i
\(52\) 3.90233 + 1.35061i 0.541156 + 0.187296i
\(53\) −4.14772 5.27425i −0.569733 0.724474i 0.412747 0.910846i \(-0.364569\pi\)
−0.982479 + 0.186372i \(0.940327\pi\)
\(54\) −1.13024 1.18536i −0.153806 0.161307i
\(55\) 0.647698 + 1.00784i 0.0873356 + 0.135897i
\(56\) 5.67451 + 0.626983i 0.758288 + 0.0837841i
\(57\) −1.38935 0.634496i −0.184024 0.0840410i
\(58\) 2.79673 + 3.92746i 0.367229 + 0.515701i
\(59\) −5.21554 13.0278i −0.679005 1.69607i −0.717261 0.696805i \(-0.754604\pi\)
0.0382553 0.999268i \(-0.487820\pi\)
\(60\) 1.25022 2.42509i 0.161402 0.313077i
\(61\) −1.47992 + 1.41110i −0.189485 + 0.180673i −0.778883 0.627169i \(-0.784213\pi\)
0.589398 + 0.807843i \(0.299365\pi\)
\(62\) −11.6623 + 1.67679i −1.48112 + 0.212953i
\(63\) 0.585523 + 2.58015i 0.0737690 + 0.325068i
\(64\) 3.13323 + 2.01361i 0.391654 + 0.251701i
\(65\) 22.8556 7.91038i 2.83488 0.981162i
\(66\) 0.355245 + 0.338725i 0.0437276 + 0.0416942i
\(67\) 2.46201 + 1.75319i 0.300782 + 0.214186i 0.720476 0.693479i \(-0.243923\pi\)
−0.419694 + 0.907666i \(0.637863\pi\)
\(68\) −0.710509 + 1.23064i −0.0861619 + 0.149237i
\(69\) 0.168713 + 4.79286i 0.0203107 + 0.576993i
\(70\) −14.7099 + 9.14784i −1.75817 + 1.09338i
\(71\) −2.43876 5.34015i −0.289428 0.633759i 0.707939 0.706273i \(-0.249625\pi\)
−0.997367 + 0.0725144i \(0.976898\pi\)
\(72\) −0.508724 + 2.09699i −0.0599537 + 0.247133i
\(73\) −0.874119 + 4.53536i −0.102308 + 0.530823i 0.894225 + 0.447619i \(0.147728\pi\)
−0.996532 + 0.0832049i \(0.973484\pi\)
\(74\) 2.70446 + 0.128829i 0.314387 + 0.0149761i
\(75\) −2.07796 10.7815i −0.239942 1.24494i
\(76\) −0.148360 1.03186i −0.0170180 0.118363i
\(77\) −0.212071 0.764028i −0.0241678 0.0870690i
\(78\) 8.33627 5.35739i 0.943896 0.606605i
\(79\) −4.61874 + 5.87321i −0.519649 + 0.660788i −0.973070 0.230509i \(-0.925961\pi\)
0.453421 + 0.891296i \(0.350203\pi\)
\(80\) −19.4958 + 1.86163i −2.17970 + 0.208136i
\(81\) −0.995472 + 0.0950560i −0.110608 + 0.0105618i
\(82\) −6.50609 + 8.27317i −0.718478 + 0.913619i
\(83\) 1.72742 1.11015i 0.189609 0.121854i −0.442392 0.896822i \(-0.645870\pi\)
0.632001 + 0.774967i \(0.282234\pi\)
\(84\) −1.26540 + 1.28827i −0.138067 + 0.140562i
\(85\) 1.18445 + 8.23805i 0.128472 + 0.893542i
\(86\) 3.35528 + 17.4088i 0.361809 + 1.87724i
\(87\) 2.94047 + 0.140072i 0.315251 + 0.0150173i
\(88\) 0.122385 0.634996i 0.0130463 0.0676908i
\(89\) −0.749428 + 3.08919i −0.0794393 + 0.327453i −0.997640 0.0686624i \(-0.978127\pi\)
0.918201 + 0.396115i \(0.129642\pi\)
\(90\) −2.71982 5.95558i −0.286695 0.627774i
\(91\) −15.9989 + 0.524228i −1.67714 + 0.0549540i
\(92\) −2.68970 + 1.86544i −0.280420 + 0.194486i
\(93\) −3.59689 + 6.22999i −0.372980 + 0.646020i
\(94\) 11.2345 + 8.00008i 1.15875 + 0.825145i
\(95\) −4.41888 4.21339i −0.453367 0.432285i
\(96\) −3.50454 + 1.21293i −0.357680 + 0.123794i
\(97\) −9.65292 6.20356i −0.980106 0.629876i −0.0506140 0.998718i \(-0.516118\pi\)
−0.929492 + 0.368842i \(0.879754\pi\)
\(98\) 11.0915 2.90205i 1.12041 0.293152i
\(99\) 0.296643 0.0426508i 0.0298137 0.00428657i
\(100\) 5.42370 5.17149i 0.542370 0.517149i
\(101\) −6.11496 + 11.8614i −0.608462 + 1.18025i 0.360435 + 0.932784i \(0.382628\pi\)
−0.968896 + 0.247467i \(0.920402\pi\)
\(102\) 1.26736 + 3.16572i 0.125488 + 0.313453i
\(103\) −0.653101 0.917152i −0.0643520 0.0903697i 0.781146 0.624349i \(-0.214636\pi\)
−0.845498 + 0.533979i \(0.820696\pi\)
\(104\) −11.8755 5.42337i −1.16449 0.531805i
\(105\) −1.16152 + 10.5124i −0.113353 + 1.02590i
\(106\) −5.94141 9.24502i −0.577081 0.897955i
\(107\) −5.56280 5.83409i −0.537776 0.564003i 0.397645 0.917539i \(-0.369828\pi\)
−0.935421 + 0.353536i \(0.884979\pi\)
\(108\) −0.421909 0.536501i −0.0405982 0.0516249i
\(109\) −7.77155 2.68976i −0.744379 0.257632i −0.0715573 0.997436i \(-0.522797\pi\)
−0.672822 + 0.739804i \(0.734918\pi\)
\(110\) 0.899116 + 1.74404i 0.0857274 + 0.166288i
\(111\) 1.08255 1.24933i 0.102751 0.118582i
\(112\) 12.6900 + 2.64176i 1.19910 + 0.249623i
\(113\) −8.63183 + 3.94203i −0.812015 + 0.370835i −0.777747 0.628578i \(-0.783637\pi\)
−0.0342681 + 0.999413i \(0.510910\pi\)
\(114\) −2.16645 1.25080i −0.202907 0.117148i
\(115\) −5.62909 + 18.3262i −0.524915 + 1.70893i
\(116\) 1.00461 + 1.74004i 0.0932757 + 0.161558i
\(117\) 0.575112 6.02285i 0.0531691 0.556812i
\(118\) −6.47529 22.0528i −0.596099 2.03013i
\(119\) 0.864786 5.44015i 0.0792748 0.498698i
\(120\) −4.66348 + 7.25651i −0.425715 + 0.662426i
\(121\) 10.7130 2.06477i 0.973911 0.187706i
\(122\) −2.63259 + 2.07029i −0.238344 + 0.187436i
\(123\) 1.51501 + 6.24497i 0.136604 + 0.563090i
\(124\) −4.90438 + 0.233624i −0.440426 + 0.0209801i
\(125\) 3.40196 23.6612i 0.304281 2.11632i
\(126\) 0.552957 + 4.29790i 0.0492613 + 0.382887i
\(127\) 7.01127 15.3525i 0.622150 1.36232i −0.291796 0.956481i \(-0.594253\pi\)
0.913945 0.405837i \(-0.133020\pi\)
\(128\) 10.6252 + 8.35573i 0.939141 + 0.738549i
\(129\) 9.62143 + 4.96019i 0.847119 + 0.436720i
\(130\) 38.4958 9.33898i 3.37631 0.819083i
\(131\) 2.96129 7.39695i 0.258729 0.646275i −0.740951 0.671559i \(-0.765625\pi\)
0.999680 + 0.0252844i \(0.00804913\pi\)
\(132\) 0.133951 + 0.154587i 0.0116589 + 0.0134551i
\(133\) 1.96836 + 3.52927i 0.170678 + 0.306026i
\(134\) 3.74118 + 3.24175i 0.323188 + 0.280044i
\(135\) −3.88480 0.942443i −0.334350 0.0811125i
\(136\) 2.60595 3.65954i 0.223458 0.313803i
\(137\) 16.1457 9.32173i 1.37942 0.796409i 0.387331 0.921941i \(-0.373397\pi\)
0.992090 + 0.125532i \(0.0400637\pi\)
\(138\) −0.471111 + 7.84067i −0.0401036 + 0.667442i
\(139\) 6.82921i 0.579246i 0.957141 + 0.289623i \(0.0935299\pi\)
−0.957141 + 0.289623i \(0.906470\pi\)
\(140\) −6.46457 + 3.21216i −0.546356 + 0.271477i
\(141\) 8.07967 2.37240i 0.680431 0.199793i
\(142\) −3.14483 9.08639i −0.263908 0.762513i
\(143\) −0.0862763 + 1.81116i −0.00721479 + 0.151457i
\(144\) −1.60237 + 4.62976i −0.133531 + 0.385813i
\(145\) 10.9248 + 4.37365i 0.907259 + 0.363212i
\(146\) −2.13128 + 7.25847i −0.176386 + 0.600716i
\(147\) 2.79341 6.41848i 0.230396 0.529387i
\(148\) 1.11680 + 0.160572i 0.0918006 + 0.0131989i
\(149\) −1.86932 + 1.33114i −0.153141 + 0.109051i −0.654059 0.756444i \(-0.726935\pi\)
0.500918 + 0.865495i \(0.332996\pi\)
\(150\) −1.70942 17.9019i −0.139574 1.46168i
\(151\) 4.60288 1.84271i 0.374577 0.149958i −0.176732 0.984259i \(-0.556553\pi\)
0.551309 + 0.834301i \(0.314128\pi\)
\(152\) 0.156820 + 3.29206i 0.0127198 + 0.267022i
\(153\) 1.99766 + 0.586567i 0.161502 + 0.0474211i
\(154\) −0.226818 1.27871i −0.0182775 0.103041i
\(155\) −21.7331 + 18.8318i −1.74564 + 1.51261i
\(156\) 3.67040 1.89222i 0.293867 0.151499i
\(157\) −19.0653 3.67454i −1.52158 0.293260i −0.641142 0.767422i \(-0.721539\pi\)
−0.880438 + 0.474162i \(0.842751\pi\)
\(158\) −8.44490 + 8.85675i −0.671840 + 0.704605i
\(159\) −6.67941 0.637806i −0.529711 0.0505813i
\(160\) −14.8247 −1.17199
\(161\) 7.14834 10.4834i 0.563368 0.826206i
\(162\) −1.63784 −0.128681
\(163\) −0.571032 0.0545270i −0.0447267 0.00427088i 0.0726687 0.997356i \(-0.476848\pi\)
−0.117395 + 0.993085i \(0.537454\pi\)
\(164\) −3.02668 + 3.17429i −0.236344 + 0.247870i
\(165\) 1.17637 + 0.226727i 0.0915802 + 0.0176506i
\(166\) 2.98927 1.54108i 0.232012 0.119611i
\(167\) 13.1184 11.3672i 1.01513 0.879618i 0.0223754 0.999750i \(-0.492877\pi\)
0.992758 + 0.120132i \(0.0383317\pi\)
\(168\) 4.36963 3.67417i 0.337124 0.283468i
\(169\) 22.6492 + 6.65042i 1.74225 + 0.511571i
\(170\) 0.648607 + 13.6159i 0.0497459 + 1.04429i
\(171\) −1.41797 + 0.567669i −0.108435 + 0.0434107i
\(172\) 0.702290 + 7.35472i 0.0535491 + 0.560792i
\(173\) 17.7135 12.6137i 1.34673 0.959005i 0.346958 0.937881i \(-0.387215\pi\)
0.999777 0.0211246i \(-0.00672467\pi\)
\(174\) 4.77240 + 0.686168i 0.361795 + 0.0520183i
\(175\) −12.4588 + 26.2428i −0.941793 + 1.98377i
\(176\) 0.413657 1.40879i 0.0311805 0.106191i
\(177\) −13.0278 5.21554i −0.979228 0.392024i
\(178\) −1.70283 + 4.92001i −0.127633 + 0.368770i
\(179\) 0.715372 15.0175i 0.0534694 1.12246i −0.799556 0.600592i \(-0.794932\pi\)
0.853025 0.521870i \(-0.174765\pi\)
\(180\) −0.892367 2.57833i −0.0665131 0.192177i
\(181\) −19.3820 + 5.69108i −1.44066 + 0.423015i −0.906440 0.422334i \(-0.861211\pi\)
−0.534215 + 0.845348i \(0.679393\pi\)
\(182\) −26.1665 1.63609i −1.93959 0.121275i
\(183\) 2.04484i 0.151159i
\(184\) 9.02562 5.06261i 0.665377 0.373221i
\(185\) 5.72292 3.30413i 0.420758 0.242925i
\(186\) −6.83439 + 9.59755i −0.501122 + 0.703727i
\(187\) −0.606373 0.147104i −0.0443424 0.0107573i
\(188\) 4.34359 + 3.76374i 0.316789 + 0.274499i
\(189\) 2.27140 + 1.35674i 0.165220 + 0.0986885i
\(190\) −6.54868 7.55758i −0.475091 0.548285i
\(191\) 5.94296 14.8448i 0.430017 1.07413i −0.542241 0.840223i \(-0.682424\pi\)
0.972259 0.233908i \(-0.0751516\pi\)
\(192\) 3.61949 0.878080i 0.261215 0.0633700i
\(193\) −11.1545 5.75053i −0.802916 0.413932i 0.00736546 0.999973i \(-0.497655\pi\)
−0.810281 + 0.586041i \(0.800686\pi\)
\(194\) −14.7726 11.6173i −1.06061 0.834071i
\(195\) 10.0471 22.0001i 0.719489 1.57546i
\(196\) 4.71611 0.764518i 0.336865 0.0546084i
\(197\) 3.08225 21.4375i 0.219601 1.52736i −0.519914 0.854219i \(-0.674036\pi\)
0.739515 0.673140i \(-0.235055\pi\)
\(198\) 0.490294 0.0233556i 0.0348437 0.00165981i
\(199\) 6.44487 + 26.5661i 0.456865 + 1.88322i 0.468819 + 0.883294i \(0.344680\pi\)
−0.0119545 + 0.999929i \(0.503805\pi\)
\(200\) −18.6236 + 14.6458i −1.31689 + 1.03561i
\(201\) 2.96783 0.572001i 0.209334 0.0403459i
\(202\) −11.8167 + 18.3871i −0.831417 + 1.29371i
\(203\) −6.05008 4.90492i −0.424633 0.344258i
\(204\) 0.400347 + 1.36346i 0.0280299 + 0.0954611i
\(205\) −2.44183 + 25.5720i −0.170544 + 1.78602i
\(206\) −0.922044 1.59703i −0.0642419 0.111270i
\(207\) 3.58518 + 3.18535i 0.249187 + 0.221397i
\(208\) −25.6702 14.8207i −1.77991 1.02763i
\(209\) 0.416379 0.190154i 0.0288016 0.0131532i
\(210\) −3.53042 + 16.9588i −0.243622 + 1.17027i
\(211\) 11.1027 12.8132i 0.764343 0.882099i −0.231533 0.972827i \(-0.574374\pi\)
0.995876 + 0.0907282i \(0.0289195\pi\)
\(212\) −2.09850 4.07051i −0.144125 0.279564i
\(213\) −5.54778 1.92011i −0.380128 0.131564i
\(214\) −8.16143 10.3781i −0.557904 0.709433i
\(215\) 29.8610 + 31.3173i 2.03650 + 2.13582i
\(216\) 1.16660 + 1.81527i 0.0793773 + 0.123513i
\(217\) 17.4284 7.64870i 1.18312 0.519227i
\(218\) −12.2522 5.59538i −0.829822 0.378967i
\(219\) 2.67918 + 3.76238i 0.181042 + 0.254238i
\(220\) 0.303900 + 0.759107i 0.0204890 + 0.0511790i
\(221\) −5.77210 + 11.1963i −0.388273 + 0.753145i
\(222\) 1.95953 1.86841i 0.131515 0.125399i
\(223\) 8.88639 1.27767i 0.595077 0.0855591i 0.161806 0.986823i \(-0.448268\pi\)
0.433271 + 0.901264i \(0.357359\pi\)
\(224\) 9.37225 + 2.90374i 0.626210 + 0.194014i
\(225\) −9.23686 5.93617i −0.615791 0.395745i
\(226\) −14.6873 + 5.08332i −0.976984 + 0.338137i
\(227\) −12.5792 11.9942i −0.834910 0.796085i 0.146257 0.989247i \(-0.453277\pi\)
−0.981167 + 0.193162i \(0.938126\pi\)
\(228\) −0.849174 0.604694i −0.0562379 0.0400469i
\(229\) 0.274281 0.475069i 0.0181250 0.0313934i −0.856821 0.515615i \(-0.827564\pi\)
0.874946 + 0.484221i \(0.160897\pi\)
\(230\) −12.0310 + 29.0032i −0.793298 + 1.91241i
\(231\) −0.699299 0.373756i −0.0460105 0.0245913i
\(232\) −2.63879 5.77814i −0.173245 0.379354i
\(233\) −2.63653 + 10.8679i −0.172725 + 0.711982i 0.817899 + 0.575362i \(0.195139\pi\)
−0.990624 + 0.136620i \(0.956376\pi\)
\(234\) 1.87535 9.73026i 0.122596 0.636087i
\(235\) 33.6238 + 1.60170i 2.19337 + 0.104483i
\(236\) −1.81263 9.40479i −0.117992 0.612200i
\(237\) 1.06334 + 7.39572i 0.0690716 + 0.480404i
\(238\) 2.25693 8.73512i 0.146295 0.566214i
\(239\) 4.90001 3.14905i 0.316955 0.203695i −0.372483 0.928039i \(-0.621494\pi\)
0.689439 + 0.724344i \(0.257857\pi\)
\(240\) −12.1063 + 15.3945i −0.781461 + 0.993709i
\(241\) 1.02743 0.0981078i 0.0661827 0.00631968i −0.0619122 0.998082i \(-0.519720\pi\)
0.128095 + 0.991762i \(0.459114\pi\)
\(242\) 17.7882 1.69857i 1.14347 0.109188i
\(243\) −0.618159 + 0.786053i −0.0396549 + 0.0504253i
\(244\) −1.17410 + 0.754549i −0.0751641 + 0.0483051i
\(245\) 18.9443 20.5944i 1.21031 1.31573i
\(246\) 1.49786 + 10.4178i 0.0954999 + 0.664216i
\(247\) −1.74887 9.07401i −0.111278 0.577365i
\(248\) 15.5053 + 0.738606i 0.984585 + 0.0469016i
\(249\) 0.388607 2.01628i 0.0246270 0.127777i
\(250\) 9.23037 38.0481i 0.583780 2.40637i
\(251\) 2.16741 + 4.74597i 0.136806 + 0.299563i 0.965619 0.259963i \(-0.0837104\pi\)
−0.828813 + 0.559526i \(0.810983\pi\)
\(252\) 0.0591379 + 1.80482i 0.00372534 + 0.113693i
\(253\) −1.11866 0.902422i −0.0703296 0.0567348i
\(254\) 13.8215 23.9396i 0.867241 1.50210i
\(255\) 6.77952 + 4.82768i 0.424550 + 0.302321i
\(256\) 10.6316 + 10.1372i 0.664475 + 0.633576i
\(257\) −7.29941 + 2.52635i −0.455325 + 0.157589i −0.545097 0.838373i \(-0.683507\pi\)
0.0897724 + 0.995962i \(0.471386\pi\)
\(258\) 14.9148 + 9.58515i 0.928554 + 0.596745i
\(259\) −4.26526 + 0.967931i −0.265030 + 0.0601443i
\(260\) 16.3394 2.34925i 1.01332 0.145694i
\(261\) 2.13053 2.03146i 0.131876 0.125744i
\(262\) 5.97978 11.5991i 0.369432 0.716598i
\(263\) 7.49892 + 18.7314i 0.462403 + 1.15503i 0.958075 + 0.286517i \(0.0924976\pi\)
−0.495672 + 0.868510i \(0.665078\pi\)
\(264\) −0.375113 0.526772i −0.0230866 0.0324206i
\(265\) −24.3984 11.1424i −1.49878 0.684471i
\(266\) 2.65980 + 6.06066i 0.163083 + 0.371603i
\(267\) 1.71858 + 2.67417i 0.105176 + 0.163656i
\(268\) 1.42356 + 1.49299i 0.0869578 + 0.0911987i
\(269\) −0.558028 0.709590i −0.0340236 0.0432645i 0.768744 0.639557i \(-0.220882\pi\)
−0.802767 + 0.596293i \(0.796640\pi\)
\(270\) −6.18715 2.14139i −0.376538 0.130321i
\(271\) 12.3962 + 24.0453i 0.753015 + 1.46065i 0.883121 + 0.469145i \(0.155438\pi\)
−0.130106 + 0.991500i \(0.541532\pi\)
\(272\) 6.67968 7.70876i 0.405015 0.467412i
\(273\) −10.6611 + 11.9407i −0.645237 + 0.722682i
\(274\) 27.7756 12.6847i 1.67799 0.766311i
\(275\) 2.84974 + 1.64530i 0.171846 + 0.0992152i
\(276\) −0.506018 + 3.23393i −0.0304587 + 0.194660i
\(277\) −10.7149 18.5588i −0.643799 1.11509i −0.984578 0.174948i \(-0.944024\pi\)
0.340779 0.940143i \(-0.389309\pi\)
\(278\) −1.06322 + 11.1345i −0.0637675 + 0.667804i
\(279\) 2.02672 + 6.90238i 0.121337 + 0.413235i
\(280\) 21.3106 8.16656i 1.27355 0.488045i
\(281\) 1.82540 2.84038i 0.108894 0.169443i −0.782529 0.622614i \(-0.786071\pi\)
0.891424 + 0.453171i \(0.149707\pi\)
\(282\) 13.5426 2.61013i 0.806453 0.155431i
\(283\) 4.03387 3.17227i 0.239788 0.188572i −0.491032 0.871142i \(-0.663380\pi\)
0.730820 + 0.682570i \(0.239138\pi\)
\(284\) −0.944658 3.89393i −0.0560551 0.231062i
\(285\) −6.09875 + 0.290519i −0.361259 + 0.0172089i
\(286\) −0.422641 + 2.93953i −0.0249913 + 0.173818i
\(287\) 6.55257 15.6885i 0.386786 0.926061i
\(288\) −1.54057 + 3.37337i −0.0907788 + 0.198778i
\(289\) 9.95558 + 7.82915i 0.585622 + 0.460538i
\(290\) 17.1312 + 8.83176i 1.00598 + 0.518619i
\(291\) −11.1510 + 2.70520i −0.653684 + 0.158582i
\(292\) −1.17165 + 2.92665i −0.0685658 + 0.171269i
\(293\) −1.58855 1.83329i −0.0928043 0.107102i 0.707448 0.706766i \(-0.249846\pi\)
−0.800252 + 0.599664i \(0.795301\pi\)
\(294\) 5.55371 10.0300i 0.323899 0.584959i
\(295\) −42.3950 36.7355i −2.46833 2.13882i
\(296\) −3.46654 0.840975i −0.201489 0.0488807i
\(297\) 0.173839 0.244123i 0.0100872 0.0141655i
\(298\) −3.25503 + 1.87929i −0.188559 + 0.108865i
\(299\) −23.0290 + 17.6520i −1.33180 + 1.02084i
\(300\) 7.49405i 0.432669i
\(301\) −12.7441 25.6479i −0.734558 1.47832i
\(302\) 7.79154 2.28780i 0.448353 0.131648i
\(303\) 4.36467 + 12.6109i 0.250744 + 0.724477i
\(304\) −0.356053 + 7.47447i −0.0204210 + 0.428690i
\(305\) −2.67353 + 7.72465i −0.153086 + 0.442312i
\(306\) 3.16572 + 1.26736i 0.180972 + 0.0724504i
\(307\) 2.98559 10.1680i 0.170397 0.580318i −0.829370 0.558700i \(-0.811300\pi\)
0.999766 0.0216175i \(-0.00688161\pi\)
\(308\) −0.0434399 0.539438i −0.00247522 0.0307373i
\(309\) −1.11447 0.160236i −0.0633998 0.00911551i
\(310\) −38.3661 + 27.3204i −2.17905 + 1.55169i
\(311\) −1.89265 19.8208i −0.107323 1.12393i −0.875341 0.483505i \(-0.839363\pi\)
0.768019 0.640427i \(-0.221243\pi\)
\(312\) −12.1201 + 4.85217i −0.686167 + 0.274700i
\(313\) 1.28455 + 26.9659i 0.0726069 + 1.52421i 0.682009 + 0.731344i \(0.261107\pi\)
−0.609402 + 0.792861i \(0.708590\pi\)
\(314\) −30.5125 8.95929i −1.72192 0.505602i
\(315\) 6.80662 + 8.09500i 0.383510 + 0.456102i
\(316\) −3.85408 + 3.33958i −0.216809 + 0.187866i
\(317\) −7.30821 + 3.76764i −0.410470 + 0.211612i −0.651079 0.759010i \(-0.725683\pi\)
0.240609 + 0.970622i \(0.422653\pi\)
\(318\) −10.7910 2.07979i −0.605128 0.116629i
\(319\) −0.608814 + 0.638505i −0.0340870 + 0.0357494i
\(320\) 14.8211 + 1.41525i 0.828527 + 0.0791147i
\(321\) −8.06110 −0.449927
\(322\) 13.2870 15.9795i 0.740454 0.890501i
\(323\) 3.18000 0.176940
\(324\) −0.679435 0.0648782i −0.0377464 0.00360434i
\(325\) 45.8426 48.0783i 2.54289 2.66691i
\(326\) −0.922536 0.177804i −0.0510946 0.00984767i
\(327\) −7.30965 + 3.76839i −0.404225 + 0.208392i
\(328\) 10.4795 9.08053i 0.578633 0.501388i
\(329\) −20.9434 7.59856i −1.15465 0.418922i
\(330\) 1.88268 + 0.552806i 0.103638 + 0.0304310i
\(331\) 1.20535 + 25.3034i 0.0662521 + 1.39080i 0.750171 + 0.661244i \(0.229971\pi\)
−0.683919 + 0.729558i \(0.739726\pi\)
\(332\) 1.30110 0.520882i 0.0714071 0.0285871i
\(333\) −0.157138 1.64562i −0.00861109 0.0901794i
\(334\) 23.1583 16.4910i 1.26717 0.902345i
\(335\) 11.9592 + 1.71947i 0.653401 + 0.0939448i
\(336\) 10.6691 7.36119i 0.582045 0.401586i
\(337\) −2.69772 + 9.18760i −0.146954 + 0.500481i −0.999764 0.0217419i \(-0.993079\pi\)
0.852809 + 0.522223i \(0.174897\pi\)
\(338\) 35.8925 + 14.3692i 1.95230 + 0.781581i
\(339\) −3.10367 + 8.96746i −0.168568 + 0.487046i
\(340\) −0.270289 + 5.67406i −0.0146585 + 0.307719i
\(341\) −0.705135 2.03735i −0.0381852 0.110329i
\(342\) −2.40027 + 0.704783i −0.129792 + 0.0381103i
\(343\) −16.0106 + 9.30924i −0.864489 + 0.502652i
\(344\) 23.3578i 1.25937i
\(345\) 9.37880 + 16.7205i 0.504938 + 0.900202i
\(346\) 30.8444 17.8080i 1.65820 0.957365i
\(347\) −15.2936 + 21.4769i −0.821006 + 1.15294i 0.165010 + 0.986292i \(0.447234\pi\)
−0.986016 + 0.166650i \(0.946705\pi\)
\(348\) 1.95258 + 0.473691i 0.104669 + 0.0253925i
\(349\) 1.57910 + 1.36830i 0.0845275 + 0.0732435i 0.696100 0.717945i \(-0.254917\pi\)
−0.611572 + 0.791189i \(0.709463\pi\)
\(350\) −24.3987 + 40.8472i −1.30417 + 2.18338i
\(351\) −3.96207 4.57247i −0.211479 0.244060i
\(352\) 0.413070 1.03180i 0.0220167 0.0549951i
\(353\) 7.56391 1.83499i 0.402586 0.0976664i −0.0293528 0.999569i \(-0.509345\pi\)
0.431939 + 0.901903i \(0.357829\pi\)
\(354\) −20.4288 10.5318i −1.08578 0.559759i
\(355\) −18.4470 14.5069i −0.979066 0.769946i
\(356\) −0.901287 + 1.97354i −0.0477681 + 0.104598i
\(357\) −3.34045 4.38001i −0.176795 0.231815i
\(358\) 3.50439 24.3736i 0.185213 1.28818i
\(359\) −13.4836 + 0.642301i −0.711635 + 0.0338994i −0.400278 0.916394i \(-0.631087\pi\)
−0.311357 + 0.950293i \(0.600784\pi\)
\(360\) 2.03362 + 8.38268i 0.107181 + 0.441806i
\(361\) 13.1012 10.3029i 0.689539 0.542259i
\(362\) −32.4870 + 6.26136i −1.70748 + 0.329090i
\(363\) 5.89849 9.17823i 0.309590 0.481732i
\(364\) −10.7900 1.71522i −0.565550 0.0899019i
\(365\) 5.20182 + 17.7158i 0.272276 + 0.927286i
\(366\) −0.318355 + 3.33396i −0.0166407 + 0.174269i
\(367\) 4.82177 + 8.35155i 0.251694 + 0.435947i 0.963992 0.265930i \(-0.0856789\pi\)
−0.712298 + 0.701877i \(0.752346\pi\)
\(368\) 21.4920 9.49445i 1.12035 0.494932i
\(369\) 5.56517 + 3.21305i 0.289711 + 0.167265i
\(370\) 9.84521 4.49616i 0.511828 0.233744i
\(371\) 13.2423 + 11.8232i 0.687508 + 0.613833i
\(372\) −3.21532 + 3.71068i −0.166707 + 0.192390i
\(373\) −1.98788 3.85595i −0.102928 0.199653i 0.831748 0.555154i \(-0.187341\pi\)
−0.934676 + 0.355501i \(0.884310\pi\)
\(374\) −0.965744 0.334247i −0.0499374 0.0172835i
\(375\) −14.7768 18.7902i −0.763069 0.970321i
\(376\) −12.5391 13.1506i −0.646652 0.678189i
\(377\) 9.62920 + 14.9833i 0.495929 + 0.771680i
\(378\) 3.49212 + 2.56569i 0.179615 + 0.131965i
\(379\) −3.06563 1.40003i −0.157471 0.0719145i 0.335120 0.942175i \(-0.391223\pi\)
−0.492591 + 0.870261i \(0.663950\pi\)
\(380\) −2.41726 3.39456i −0.124003 0.174137i
\(381\) −6.27283 15.6688i −0.321367 0.802735i
\(382\) 12.0007 23.2781i 0.614008 1.19101i
\(383\) −8.26363 + 7.87936i −0.422252 + 0.402616i −0.871190 0.490947i \(-0.836651\pi\)
0.448938 + 0.893563i \(0.351802\pi\)
\(384\) 13.3795 1.92369i 0.682771 0.0981677i
\(385\) −2.15302 2.32621i −0.109728 0.118555i
\(386\) −17.2912 11.1124i −0.880101 0.565607i
\(387\) 10.2294 3.54043i 0.519990 0.179970i
\(388\) −5.66800 5.40443i −0.287749 0.274368i
\(389\) −17.8630 12.7202i −0.905692 0.644941i 0.0293145 0.999570i \(-0.490668\pi\)
−0.935007 + 0.354630i \(0.884607\pi\)
\(390\) 19.8062 34.3054i 1.00293 1.73712i
\(391\) −4.46484 8.93106i −0.225797 0.451663i
\(392\) −15.0723 + 0.988798i −0.761266 + 0.0499418i
\(393\) −3.30990 7.24767i −0.166962 0.365597i
\(394\) 8.36291 34.4724i 0.421317 1.73669i
\(395\) −5.65261 + 29.3285i −0.284414 + 1.47568i
\(396\) 0.204317 + 0.00973280i 0.0102673 + 0.000489092i
\(397\) 2.19144 + 11.3702i 0.109985 + 0.570656i 0.994552 + 0.104243i \(0.0332419\pi\)
−0.884567 + 0.466413i \(0.845546\pi\)
\(398\) 6.37189 + 44.3175i 0.319394 + 2.22143i
\(399\) 3.91257 + 1.01091i 0.195874 + 0.0506087i
\(400\) −45.2533 + 29.0826i −2.26267 + 1.45413i
\(401\) 15.3381 19.5039i 0.765946 0.973980i −0.234052 0.972224i \(-0.575199\pi\)
0.999998 0.00175600i \(-0.000558951\pi\)
\(402\) 4.92787 0.470555i 0.245780 0.0234691i
\(403\) −43.3270 + 4.13723i −2.15827 + 0.206090i
\(404\) −5.63032 + 7.15953i −0.280119 + 0.356200i
\(405\) −3.36290 + 2.16120i −0.167104 + 0.107391i
\(406\) −9.10058 8.93903i −0.451654 0.443637i
\(407\) 0.0705063 + 0.490382i 0.00349487 + 0.0243073i
\(408\) −0.850224 4.41138i −0.0420924 0.218396i
\(409\) 2.49444 + 0.118825i 0.123342 + 0.00587550i 0.109162 0.994024i \(-0.465183\pi\)
0.0141798 + 0.999899i \(0.495486\pi\)
\(410\) −7.96243 + 41.3130i −0.393236 + 2.04030i
\(411\) 4.39536 18.1179i 0.216807 0.893691i
\(412\) −0.319235 0.699028i −0.0157276 0.0344386i
\(413\) 19.6070 + 31.5284i 0.964795 + 1.55141i
\(414\) 5.34946 + 5.75164i 0.262912 + 0.282678i
\(415\) 4.10420 7.10868i 0.201467 0.348951i
\(416\) −18.2769 13.0149i −0.896099 0.638109i
\(417\) 4.94253 + 4.71269i 0.242037 + 0.230782i
\(418\) 0.708480 0.245207i 0.0346529 0.0119935i
\(419\) 4.62277 + 2.97087i 0.225837 + 0.145137i 0.648667 0.761072i \(-0.275327\pi\)
−0.422830 + 0.906209i \(0.638963\pi\)
\(420\) −2.13631 + 6.89527i −0.104241 + 0.336455i
\(421\) 12.1809 1.75135i 0.593661 0.0853556i 0.161066 0.986944i \(-0.448507\pi\)
0.432596 + 0.901588i \(0.357598\pi\)
\(422\) 20.0970 19.1625i 0.978307 0.932814i
\(423\) 3.85862 7.48468i 0.187612 0.363917i
\(424\) 5.38111 + 13.4414i 0.261330 + 0.652770i
\(425\) 13.2602 + 18.6213i 0.643212 + 0.903266i
\(426\) −8.74631 3.99431i −0.423760 0.193525i
\(427\) 3.20327 4.35990i 0.155017 0.210991i
\(428\) −2.97456 4.62850i −0.143781 0.223727i
\(429\) 1.25126 + 1.31229i 0.0604115 + 0.0633578i
\(430\) 43.8104 + 55.7094i 2.11272 + 2.68655i
\(431\) −4.40593 1.52491i −0.212226 0.0734521i 0.218886 0.975750i \(-0.429758\pi\)
−0.431112 + 0.902298i \(0.641879\pi\)
\(432\) 2.24495 + 4.35459i 0.108010 + 0.209510i
\(433\) −10.6059 + 12.2399i −0.509687 + 0.588210i −0.951018 0.309134i \(-0.899961\pi\)
0.441332 + 0.897344i \(0.354506\pi\)
\(434\) 29.6066 9.75726i 1.42116 0.468363i
\(435\) 10.7044 4.88852i 0.513235 0.234387i
\(436\) −4.86099 2.80650i −0.232799 0.134407i
\(437\) 6.62481 + 3.12541i 0.316908 + 0.149509i
\(438\) 3.78245 + 6.55140i 0.180733 + 0.313038i
\(439\) 1.59910 16.7465i 0.0763209 0.799269i −0.873572 0.486694i \(-0.838203\pi\)
0.949893 0.312575i \(-0.101191\pi\)
\(440\) −0.728308 2.48039i −0.0347207 0.118248i
\(441\) −2.71760 6.45094i −0.129410 0.307188i
\(442\) −11.1541 + 17.3561i −0.530546 + 0.825546i
\(443\) −9.47464 + 1.82609i −0.450154 + 0.0867600i −0.409289 0.912405i \(-0.634223\pi\)
−0.0408644 + 0.999165i \(0.513011\pi\)
\(444\) 0.886893 0.697461i 0.0420901 0.0331000i
\(445\) 2.99583 + 12.3490i 0.142016 + 0.585397i
\(446\) 14.6875 0.699653i 0.695474 0.0331295i
\(447\) −0.326590 + 2.27148i −0.0154472 + 0.107437i
\(448\) −9.09281 3.79778i −0.429595 0.179428i
\(449\) −3.76151 + 8.23655i −0.177517 + 0.388707i −0.977385 0.211469i \(-0.932175\pi\)
0.799868 + 0.600176i \(0.204903\pi\)
\(450\) −14.1358 11.1165i −0.666370 0.524039i
\(451\) −1.71177 0.882481i −0.0806043 0.0415544i
\(452\) −6.29417 + 1.52695i −0.296053 + 0.0718216i
\(453\) 1.84271 4.60288i 0.0865783 0.216262i
\(454\) −18.6421 21.5141i −0.874916 1.00971i
\(455\) −55.8853 + 31.1686i −2.61995 + 1.46121i
\(456\) 2.49080 + 2.15829i 0.116642 + 0.101071i
\(457\) −31.2995 7.59317i −1.46413 0.355193i −0.577010 0.816737i \(-0.695781\pi\)
−0.887117 + 0.461544i \(0.847296\pi\)
\(458\) 0.521157 0.731862i 0.0243520 0.0341977i
\(459\) 1.80306 1.04100i 0.0841599 0.0485897i
\(460\) −6.13974 + 11.5550i −0.286267 + 0.538754i
\(461\) 20.2505i 0.943158i 0.881824 + 0.471579i \(0.156316\pi\)
−0.881824 + 0.471579i \(0.843684\pi\)
\(462\) −1.08197 0.718253i −0.0503376 0.0334162i
\(463\) −13.0970 + 3.84563i −0.608670 + 0.178722i −0.571520 0.820588i \(-0.693646\pi\)
−0.0371497 + 0.999310i \(0.511828\pi\)
\(464\) −4.71707 13.6291i −0.218985 0.632714i
\(465\) −1.36831 + 28.7244i −0.0634540 + 1.33206i
\(466\) −5.99066 + 17.3089i −0.277512 + 0.801818i
\(467\) −26.9231 10.7784i −1.24585 0.498765i −0.347352 0.937735i \(-0.612919\pi\)
−0.898502 + 0.438970i \(0.855343\pi\)
\(468\) 1.16340 3.96217i 0.0537781 0.183152i
\(469\) −7.22388 3.42954i −0.333568 0.158361i
\(470\) 54.5717 + 7.84622i 2.51720 + 0.361919i
\(471\) −15.8160 + 11.2625i −0.728762 + 0.518949i
\(472\) 2.87835 + 30.1435i 0.132487 + 1.38747i
\(473\) −3.01172 + 1.20571i −0.138479 + 0.0554387i
\(474\) 0.582287 + 12.2237i 0.0267453 + 0.561454i
\(475\) −16.0911 4.72477i −0.738310 0.216787i
\(476\) 1.28227 3.53424i 0.0587727 0.161991i
\(477\) −5.07092 + 4.39398i −0.232181 + 0.201186i
\(478\) 8.47937 4.37142i 0.387837 0.199944i
\(479\) −10.4184 2.00798i −0.476028 0.0917469i −0.0544066 0.998519i \(-0.517327\pi\)
−0.421621 + 0.906772i \(0.638539\pi\)
\(480\) −10.2302 + 10.7291i −0.466942 + 0.489715i
\(481\) 9.95640 + 0.950721i 0.453973 + 0.0433491i
\(482\) 1.69042 0.0769967
\(483\) −2.65425 12.4079i −0.120773 0.564577i
\(484\) 7.44648 0.338476
\(485\) −45.6612 4.36012i −2.07337 0.197983i
\(486\) −1.13024 + 1.18536i −0.0512687 + 0.0537691i
\(487\) 34.8467 + 6.71616i 1.57906 + 0.304338i 0.902047 0.431637i \(-0.142064\pi\)
0.677008 + 0.735975i \(0.263276\pi\)
\(488\) 3.92189 2.02187i 0.177536 0.0915260i
\(489\) −0.433520 + 0.375648i −0.0196045 + 0.0169874i
\(490\) 34.0935 30.6282i 1.54019 1.38364i
\(491\) −25.8174 7.58067i −1.16512 0.342111i −0.358701 0.933452i \(-0.616780\pi\)
−0.806421 + 0.591342i \(0.798599\pi\)
\(492\) 0.208694 + 4.38102i 0.00940863 + 0.197511i
\(493\) −5.68996 + 2.27792i −0.256263 + 0.102592i
\(494\) −1.43870 15.0668i −0.0647303 0.677886i
\(495\) 0.975878 0.694919i 0.0438624 0.0312343i
\(496\) 34.8851 + 5.01572i 1.56639 + 0.225212i
\(497\) 8.82082 + 12.7846i 0.395668 + 0.573468i
\(498\) 0.947503 3.22690i 0.0424586 0.144601i
\(499\) −9.06526 3.62918i −0.405817 0.162465i 0.159768 0.987155i \(-0.448925\pi\)
−0.565585 + 0.824690i \(0.691350\pi\)
\(500\) 5.33625 15.4181i 0.238644 0.689518i
\(501\) 0.825934 17.3385i 0.0369000 0.774627i
\(502\) 2.79492 + 8.07539i 0.124743 + 0.360422i
\(503\) 27.6562 8.12060i 1.23313 0.362080i 0.400700 0.916209i \(-0.368767\pi\)
0.832430 + 0.554130i \(0.186949\pi\)
\(504\) 0.356269 5.69791i 0.0158695 0.253805i
\(505\) 53.3458i 2.37386i
\(506\) −1.68340 1.64549i −0.0748362 0.0731511i
\(507\) 20.4429 11.8027i 0.907901 0.524177i
\(508\) 6.68196 9.38350i 0.296464 0.416326i
\(509\) 21.4064 + 5.19315i 0.948824 + 0.230182i 0.680170 0.733055i \(-0.261906\pi\)
0.268654 + 0.963237i \(0.413421\pi\)
\(510\) 10.3019 + 8.92665i 0.456176 + 0.395279i
\(511\) 0.181403 12.2189i 0.00802481 0.540533i
\(512\) −1.94785 2.24794i −0.0860836 0.0993458i
\(513\) −0.567669 + 1.41797i −0.0250632 + 0.0626048i
\(514\) −12.2945 + 2.98260i −0.542286 + 0.131557i
\(515\) −4.00053 2.06242i −0.176285 0.0908810i
\(516\) 5.80750 + 4.56707i 0.255661 + 0.201054i
\(517\) −1.04836 + 2.29559i −0.0461069 + 0.100960i
\(518\) −7.10488 + 0.914096i −0.312170 + 0.0401631i
\(519\) 3.09474 21.5244i 0.135844 0.944815i
\(520\) −52.1293 + 2.48322i −2.28602 + 0.108896i
\(521\) −4.92369 20.2957i −0.215711 0.889172i −0.972009 0.234945i \(-0.924509\pi\)
0.756298 0.654228i \(-0.227006\pi\)
\(522\) 3.78994 2.98044i 0.165881 0.130450i
\(523\) 27.4732 5.29503i 1.20132 0.231535i 0.450947 0.892551i \(-0.351086\pi\)
0.750372 + 0.661015i \(0.229874\pi\)
\(524\) 2.94009 4.57487i 0.128438 0.199854i
\(525\) 10.3953 + 27.1264i 0.453687 + 1.18389i
\(526\) 9.31020 + 31.7076i 0.405944 + 1.38252i
\(527\) 1.42370 14.9096i 0.0620172 0.649473i
\(528\) −0.734130 1.27155i −0.0319489 0.0553371i
\(529\) −0.523732 22.9940i −0.0227710 0.999741i
\(530\) −38.0451 21.9653i −1.65257 0.954113i
\(531\) −12.7649 + 5.82952i −0.553948 + 0.252980i
\(532\) 0.863305 + 2.61954i 0.0374290 + 0.113571i
\(533\) −25.4607 + 29.3832i −1.10282 + 1.27273i
\(534\) 2.38569 + 4.62759i 0.103239 + 0.200256i
\(535\) −30.4518 10.5395i −1.31655 0.455661i
\(536\) −4.03156 5.12654i −0.174137 0.221433i
\(537\) −10.3750 10.8810i −0.447715 0.469550i
\(538\) −0.799349 1.24381i −0.0344624 0.0536245i
\(539\) 0.905515 + 1.89236i 0.0390033 + 0.0815098i
\(540\) −2.48183 1.13341i −0.106801 0.0487743i
\(541\) 8.65680 + 12.1568i 0.372185 + 0.522660i 0.957611 0.288066i \(-0.0930121\pi\)
−0.585426 + 0.810726i \(0.699073\pi\)
\(542\) 16.4675 + 41.1339i 0.707341 + 1.76685i
\(543\) −9.25631 + 17.9547i −0.397226 + 0.770511i
\(544\) 5.58802 5.32817i 0.239584 0.228443i
\(545\) −32.5401 + 4.67856i −1.39387 + 0.200408i
\(546\) −19.2411 + 17.8086i −0.823442 + 0.762137i
\(547\) −6.77488 4.35395i −0.289673 0.186161i 0.387731 0.921772i \(-0.373259\pi\)
−0.677404 + 0.735611i \(0.736895\pi\)
\(548\) 12.0248 4.16182i 0.513674 0.177784i
\(549\) 1.47992 + 1.41110i 0.0631615 + 0.0602244i
\(550\) 4.39014 + 3.12620i 0.187196 + 0.133302i
\(551\) 2.24815 3.89391i 0.0957743 0.165886i
\(552\) 2.56440 10.0257i 0.109148 0.426724i
\(553\) 9.31826 17.4345i 0.396253 0.741390i
\(554\) −14.5806 31.9270i −0.619468 1.35645i
\(555\) 1.55796 6.42199i 0.0661316 0.272598i
\(556\) −0.882120 + 4.57688i −0.0374102 + 0.194103i
\(557\) 26.9842 + 1.28542i 1.14336 + 0.0544648i 0.610697 0.791864i \(-0.290889\pi\)
0.532661 + 0.846329i \(0.321192\pi\)
\(558\) 2.22981 + 11.5693i 0.0943953 + 0.489770i
\(559\) 9.32054 + 64.8258i 0.394217 + 2.74184i
\(560\) 49.9281 13.8586i 2.10985 0.585631i
\(561\) −0.524910 + 0.337339i −0.0221617 + 0.0142425i
\(562\) 3.41839 4.34684i 0.144196 0.183360i
\(563\) −40.1705 + 3.83581i −1.69298 + 0.161660i −0.896513 0.443018i \(-0.853908\pi\)
−0.796470 + 0.604678i \(0.793302\pi\)
\(564\) 5.72136 0.546324i 0.240913 0.0230044i
\(565\) −23.4490 + 29.8178i −0.986507 + 1.25445i
\(566\) 7.07080 4.54413i 0.297208 0.191004i
\(567\) 2.54937 0.707628i 0.107063 0.0297176i
\(568\) 1.80282 + 12.5389i 0.0756445 + 0.526119i
\(569\) 0.566552 + 2.93955i 0.0237511 + 0.123232i 0.991869 0.127262i \(-0.0406189\pi\)
−0.968118 + 0.250494i \(0.919407\pi\)
\(570\) −9.98879 0.475825i −0.418384 0.0199301i
\(571\) −7.95773 + 41.2886i −0.333021 + 1.72788i 0.300175 + 0.953884i \(0.402955\pi\)
−0.633195 + 0.773992i \(0.718257\pi\)
\(572\) −0.291767 + 1.20268i −0.0121994 + 0.0502867i
\(573\) −6.64257 14.5452i −0.277497 0.607634i
\(574\) 13.1260 24.5587i 0.547867 1.02506i
\(575\) 9.32292 + 51.8258i 0.388793 + 2.16128i
\(576\) 1.86224 3.22550i 0.0775934 0.134396i
\(577\) −26.8561 19.1242i −1.11804 0.796150i −0.137114 0.990555i \(-0.543783\pi\)
−0.980921 + 0.194406i \(0.937722\pi\)
\(578\) 15.0129 + 14.3148i 0.624456 + 0.595417i
\(579\) −11.8593 + 4.10455i −0.492856 + 0.170579i
\(580\) 6.75680 + 4.34233i 0.280561 + 0.180305i
\(581\) −3.98709 + 3.69026i −0.165413 + 0.153098i
\(582\) −18.6020 + 2.67457i −0.771080 + 0.110865i
\(583\) 1.45534 1.38767i 0.0602741 0.0574712i
\(584\) 4.56695 8.85864i 0.188982 0.366573i
\(585\) −8.98893 22.4533i −0.371647 0.928329i
\(586\) −2.30460 3.23636i −0.0952022 0.133693i
\(587\) −4.61817 2.10905i −0.190612 0.0870498i 0.317822 0.948150i \(-0.397048\pi\)
−0.508435 + 0.861100i \(0.669776\pi\)
\(588\) 2.70118 3.94079i 0.111395 0.162515i
\(589\) 5.94035 + 9.24337i 0.244768 + 0.380866i
\(590\) −63.4027 66.4949i −2.61025 2.73755i
\(591\) −13.3881 17.0243i −0.550711 0.700286i
\(592\) −7.65348 2.64889i −0.314556 0.108869i
\(593\) −10.7905 20.9306i −0.443111 0.859515i −0.999589 0.0286530i \(-0.990878\pi\)
0.556479 0.830862i \(-0.312152\pi\)
\(594\) 0.321439 0.370960i 0.0131888 0.0152207i
\(595\) −6.89233 20.9135i −0.282558 0.857370i
\(596\) −1.42475 + 0.650660i −0.0583599 + 0.0266521i
\(597\) 23.6743 + 13.6684i 0.968924 + 0.559408i
\(598\) −40.2952 + 25.1949i −1.64779 + 1.03030i
\(599\) −0.337787 0.585064i −0.0138016 0.0239051i 0.859042 0.511905i \(-0.171060\pi\)
−0.872844 + 0.488000i \(0.837727\pi\)
\(600\) −2.25212 + 23.5853i −0.0919424 + 0.962864i
\(601\) 9.45274 + 32.1931i 0.385585 + 1.31318i 0.892446 + 0.451154i \(0.148988\pi\)
−0.506861 + 0.862028i \(0.669194\pi\)
\(602\) −16.7853 43.8011i −0.684117 1.78520i
\(603\) 1.63406 2.54264i 0.0665439 0.103544i
\(604\) 3.32283 0.640423i 0.135204 0.0260584i
\(605\) 34.2824 26.9599i 1.39378 1.09608i
\(606\) 5.15292 + 21.2406i 0.209323 + 0.862842i
\(607\) −29.3031 + 1.39588i −1.18938 + 0.0566570i −0.632918 0.774219i \(-0.718143\pi\)
−0.556458 + 0.830876i \(0.687840\pi\)
\(608\) −0.806111 + 5.60663i −0.0326921 + 0.227379i
\(609\) −7.72489 + 0.993866i −0.313029 + 0.0402735i
\(610\) −5.56161 + 12.1782i −0.225183 + 0.493082i
\(611\) 40.0476 + 31.4938i 1.62015 + 1.27410i
\(612\) 1.26305 + 0.651148i 0.0510558 + 0.0263211i
\(613\) 31.2756 7.58738i 1.26321 0.306451i 0.452429 0.891801i \(-0.350558\pi\)
0.810781 + 0.585349i \(0.199043\pi\)
\(614\) 6.45081 16.1133i 0.260333 0.650281i
\(615\) 16.8222 + 19.4139i 0.678338 + 0.782844i
\(616\) −0.0253983 + 1.71077i −0.00102333 + 0.0689290i
\(617\) −6.55121 5.67666i −0.263742 0.228534i 0.512943 0.858422i \(-0.328555\pi\)
−0.776685 + 0.629889i \(0.783100\pi\)
\(618\) −1.79211 0.434760i −0.0720891 0.0174886i
\(619\) −12.4672 + 17.5077i −0.501099 + 0.703696i −0.985218 0.171307i \(-0.945201\pi\)
0.484118 + 0.875003i \(0.339140\pi\)
\(620\) −16.9978 + 9.81370i −0.682649 + 0.394128i
\(621\) 4.77941 0.396576i 0.191791 0.0159140i
\(622\) 32.6109i 1.30758i
\(623\) 0.524839 8.39390i 0.0210272 0.336294i
\(624\) −28.4407 + 8.35095i −1.13854 + 0.334306i
\(625\) −13.2980 38.4222i −0.531922 1.53689i
\(626\) −2.10388 + 44.1660i −0.0840881 + 1.76523i
\(627\) 0.149714 0.432569i 0.00597899 0.0172751i
\(628\) −12.3028 4.92529i −0.490935 0.196541i
\(629\) −0.969657 + 3.30235i −0.0386628 + 0.131673i
\(630\) 9.83740 + 14.2580i 0.391931 + 0.568052i
\(631\) 12.9495 + 1.86186i 0.515512 + 0.0741194i 0.395161 0.918612i \(-0.370689\pi\)
0.120351 + 0.992731i \(0.461598\pi\)
\(632\) 13.1332 9.35208i 0.522409 0.372006i
\(633\) −1.61161 16.8776i −0.0640558 0.670823i
\(634\) −12.5021 + 5.00507i −0.496520 + 0.198777i
\(635\) −3.21028 67.3921i −0.127396 2.67437i
\(636\) −4.39410 1.29022i −0.174237 0.0511607i
\(637\) 41.4361 8.75859i 1.64176 0.347028i
\(638\) −1.09203 + 0.946251i −0.0432340 + 0.0374624i
\(639\) −5.21806 + 2.69009i −0.206423 + 0.106419i
\(640\) 53.0580 + 10.2261i 2.09730 + 0.404222i
\(641\) −13.9555 + 14.6362i −0.551211 + 0.578093i −0.939113 0.343607i \(-0.888351\pi\)
0.387903 + 0.921700i \(0.373200\pi\)
\(642\) −13.1430 1.25501i −0.518714 0.0495312i
\(643\) −30.2393 −1.19252 −0.596260 0.802791i \(-0.703347\pi\)
−0.596260 + 0.802791i \(0.703347\pi\)
\(644\) 6.14488 6.10253i 0.242142 0.240473i
\(645\) 43.2718 1.70383
\(646\) 5.18475 + 0.495084i 0.203991 + 0.0194788i
\(647\) 21.9438 23.0140i 0.862700 0.904773i −0.133573 0.991039i \(-0.542645\pi\)
0.996272 + 0.0862657i \(0.0274934\pi\)
\(648\) 2.11882 + 0.408369i 0.0832351 + 0.0160423i
\(649\) 3.73808 1.92712i 0.146733 0.0756459i
\(650\) 82.2281 71.2510i 3.22525 2.79470i
\(651\) 6.49138 17.8918i 0.254417 0.701233i
\(652\) −0.375658 0.110303i −0.0147119 0.00431980i
\(653\) 0.450944 + 9.46647i 0.0176468 + 0.370452i 0.990367 + 0.138469i \(0.0442182\pi\)
−0.972720 + 0.231983i \(0.925479\pi\)
\(654\) −12.5045 + 5.00606i −0.488966 + 0.195752i
\(655\) −3.02761 31.7065i −0.118298 1.23888i
\(656\) 25.6452 18.2619i 1.00128 0.713005i
\(657\) 4.57181 + 0.657327i 0.178363 + 0.0256448i
\(658\) −32.9637 15.6495i −1.28506 0.610081i
\(659\) 5.74657 19.5710i 0.223855 0.762379i −0.768596 0.639734i \(-0.779044\pi\)
0.992451 0.122645i \(-0.0391375\pi\)
\(660\) 0.759107 + 0.303900i 0.0295482 + 0.0118293i
\(661\) −6.23434 + 18.0129i −0.242488 + 0.700622i 0.756429 + 0.654076i \(0.226943\pi\)
−0.998916 + 0.0465457i \(0.985179\pi\)
\(662\) −1.97417 + 41.4430i −0.0767285 + 1.61073i
\(663\) 4.11995 + 11.9038i 0.160005 + 0.462305i
\(664\) −4.25136 + 1.24831i −0.164985 + 0.0484439i
\(665\) 13.4585 + 8.93432i 0.521900 + 0.346458i
\(666\) 2.70753i 0.104914i
\(667\) −14.0926 0.846759i −0.545666 0.0327866i
\(668\) 10.2601 5.92369i 0.396976 0.229194i
\(669\) 5.20762 7.31308i 0.201338 0.282740i
\(670\) 19.2309 + 4.66536i 0.742954 + 0.180239i
\(671\) −0.463143 0.401315i −0.0178794 0.0154926i
\(672\) 8.56913 4.77921i 0.330561 0.184362i
\(673\) 27.9048 + 32.2038i 1.07565 + 1.24137i 0.968998 + 0.247070i \(0.0794677\pi\)
0.106652 + 0.994296i \(0.465987\pi\)
\(674\) −5.82883 + 14.5597i −0.224518 + 0.560819i
\(675\) −10.6704 + 2.58860i −0.410703 + 0.0996354i
\(676\) 14.3203 + 7.38263i 0.550781 + 0.283947i
\(677\) −30.4316 23.9317i −1.16958 0.919769i −0.171721 0.985146i \(-0.554933\pi\)
−0.997861 + 0.0653762i \(0.979175\pi\)
\(678\) −6.45642 + 14.1376i −0.247957 + 0.542950i
\(679\) 28.0133 + 11.7003i 1.07505 + 0.449015i
\(680\) 2.55583 17.7762i 0.0980116 0.681685i
\(681\) −17.3613 + 0.827019i −0.665285 + 0.0316914i
\(682\) −0.832481 3.43153i −0.0318773 0.131400i
\(683\) 8.45916 6.65236i 0.323681 0.254545i −0.443075 0.896485i \(-0.646112\pi\)
0.766755 + 0.641939i \(0.221870\pi\)
\(684\) −1.02364 + 0.197290i −0.0391397 + 0.00754355i
\(685\) 40.2923 62.6960i 1.53949 2.39549i
\(686\) −27.5533 + 12.6854i −1.05199 + 0.484331i
\(687\) −0.154548 0.526341i −0.00589637 0.0200812i
\(688\) 5.04108 52.7926i 0.192190 2.01270i
\(689\) −20.2979 35.1570i −0.773289 1.33938i
\(690\) 12.6883 + 28.7217i 0.483034 + 1.09342i
\(691\) 23.1360 + 13.3576i 0.880133 + 0.508145i 0.870702 0.491810i \(-0.163665\pi\)
0.00943102 + 0.999956i \(0.496998\pi\)
\(692\) 13.5008 6.16559i 0.513222 0.234381i
\(693\) −0.753071 + 0.248185i −0.0286068 + 0.00942777i
\(694\) −28.2788 + 32.6355i −1.07345 + 1.23883i
\(695\) 12.5094 + 24.2649i 0.474509 + 0.920420i
\(696\) −6.00281 2.07759i −0.227536 0.0787510i
\(697\) −8.27045 10.5167i −0.313266 0.398350i
\(698\) 2.36158 + 2.47676i 0.0893873 + 0.0937467i
\(699\) 6.04608 + 9.40788i 0.228684 + 0.355839i
\(700\) −11.7395 + 15.9784i −0.443711 + 0.603927i
\(701\) 33.8350 + 15.4519i 1.27793 + 0.583612i 0.934633 0.355615i \(-0.115728\pi\)
0.343299 + 0.939226i \(0.388456\pi\)
\(702\) −5.74798 8.07191i −0.216944 0.304655i
\(703\) −0.938417 2.34405i −0.0353931 0.0884076i
\(704\) −0.511473 + 0.992120i −0.0192769 + 0.0373919i
\(705\) 24.3623 23.2294i 0.917536 0.874868i
\(706\) 12.6181 1.81421i 0.474888 0.0682785i
\(707\) 10.4490 33.7256i 0.392974 1.26838i
\(708\) −8.05742 5.17819i −0.302817 0.194608i
\(709\) 31.3223 10.8408i 1.17633 0.407133i 0.332170 0.943219i \(-0.392219\pi\)
0.844163 + 0.536087i \(0.180098\pi\)
\(710\) −27.8179 26.5244i −1.04399 0.995441i
\(711\) 6.08632 + 4.33405i 0.228255 + 0.162540i
\(712\) 3.42962 5.94028i 0.128530 0.222621i
\(713\) 17.6196 29.6616i 0.659860 1.11083i
\(714\) −4.76444 7.66134i −0.178305 0.286718i
\(715\) 3.01106 + 6.59329i 0.112607 + 0.246575i
\(716\) 2.41923 9.97220i 0.0904109 0.372679i
\(717\) 1.10232 5.71939i 0.0411670 0.213595i
\(718\) −22.0839 1.05199i −0.824165 0.0392598i
\(719\) 8.11588 + 42.1092i 0.302671 + 1.57041i 0.740945 + 0.671566i \(0.234378\pi\)
−0.438274 + 0.898842i \(0.644410\pi\)
\(720\) 2.78717 + 19.3852i 0.103872 + 0.722443i
\(721\) 2.12519 + 2.08747i 0.0791463 + 0.0777414i
\(722\) 22.9646 14.7585i 0.854655 0.549253i
\(723\) 0.638005 0.811289i 0.0237277 0.0301722i
\(724\) −13.7248 + 1.31056i −0.510078 + 0.0487065i
\(725\) 32.1762 3.07246i 1.19500 0.114108i
\(726\) 11.0460 14.0461i 0.409955 0.521300i
\(727\) −17.0012 + 10.9260i −0.630541 + 0.405224i −0.816510 0.577331i \(-0.804094\pi\)
0.185969 + 0.982556i \(0.440458\pi\)
\(728\) 33.4428 + 8.64076i 1.23947 + 0.320248i
\(729\) 0.142315 + 0.989821i 0.00527092 + 0.0366601i
\(730\) 5.72307 + 29.6941i 0.211820 + 1.09903i
\(731\) −22.5116 1.07236i −0.832622 0.0396627i
\(732\) −0.264130 + 1.37044i −0.00976252 + 0.0506528i
\(733\) −7.78976 + 32.1098i −0.287721 + 1.18600i 0.626053 + 0.779781i \(0.284669\pi\)
−0.913774 + 0.406223i \(0.866846\pi\)
\(734\) 6.56131 + 14.3673i 0.242182 + 0.530305i
\(735\) −1.83181 27.9224i −0.0675673 1.02993i
\(736\) 16.8781 5.60794i 0.622134 0.206711i
\(737\) −0.452903 + 0.784451i −0.0166829 + 0.0288956i
\(738\) 8.57337 + 6.10507i 0.315590 + 0.224731i
\(739\) −12.0182 11.4593i −0.442096 0.421538i 0.436056 0.899920i \(-0.356375\pi\)
−0.878152 + 0.478382i \(0.841224\pi\)
\(740\) 4.26225 1.47518i 0.156683 0.0542286i
\(741\) −7.77403 4.99606i −0.285586 0.183535i
\(742\) 19.7499 + 21.3386i 0.725043 + 0.783364i
\(743\) 25.3746 3.64831i 0.930902 0.133844i 0.339853 0.940479i \(-0.389623\pi\)
0.591050 + 0.806635i \(0.298714\pi\)
\(744\) 11.2344 10.7120i 0.411873 0.392720i
\(745\) −4.20358 + 8.15382i −0.154007 + 0.298733i
\(746\) −2.64077 6.59632i −0.0966854 0.241508i
\(747\) −1.19108 1.67264i −0.0435795 0.0611988i
\(748\) −0.387385 0.176913i −0.0141642 0.00646857i
\(749\) 17.1874 + 12.6278i 0.628016 + 0.461409i
\(750\) −21.1670 32.9365i −0.772911 1.20267i
\(751\) 26.6613 + 27.9616i 0.972885 + 1.02033i 0.999786 + 0.0206940i \(0.00658758\pi\)
−0.0269011 + 0.999638i \(0.508564\pi\)
\(752\) −25.5022 32.4287i −0.929970 1.18255i
\(753\) 4.93051 + 1.70647i 0.179678 + 0.0621871i
\(754\) 13.3670 + 25.9283i 0.486797 + 0.944254i
\(755\) 12.9791 14.9787i 0.472358 0.545131i
\(756\) 1.34702 + 1.20267i 0.0489907 + 0.0437407i
\(757\) 21.1386 9.65368i 0.768296 0.350869i 0.00759472 0.999971i \(-0.497583\pi\)
0.760701 + 0.649102i \(0.224855\pi\)
\(758\) −4.78032 2.75992i −0.173629 0.100245i
\(759\) −1.42508 + 0.186871i −0.0517271 + 0.00678298i
\(760\) 6.58745 + 11.4098i 0.238952 + 0.413877i
\(761\) −3.46045 + 36.2395i −0.125441 + 1.31368i 0.685293 + 0.728267i \(0.259674\pi\)
−0.810734 + 0.585414i \(0.800932\pi\)
\(762\) −7.78796 26.5233i −0.282128 0.960839i
\(763\) 21.4885 + 3.41589i 0.777935 + 0.123663i
\(764\) 5.90040 9.18120i 0.213469 0.332164i
\(765\) 8.17236 1.57509i 0.295472 0.0569476i
\(766\) −14.6999 + 11.5602i −0.531131 + 0.417686i
\(767\) −20.0166 82.5097i −0.722759 2.97925i
\(768\) 14.6733 0.698975i 0.529477 0.0252221i
\(769\) 5.92206 41.1888i 0.213555 1.48531i −0.547601 0.836739i \(-0.684459\pi\)
0.761156 0.648568i \(-0.224632\pi\)
\(770\) −3.14818 4.12791i −0.113453 0.148759i
\(771\) −3.20876 + 7.02621i −0.115561 + 0.253043i
\(772\) −6.73284 5.29476i −0.242320 0.190563i
\(773\) −6.78871 3.49982i −0.244173 0.125880i 0.331797 0.943351i \(-0.392345\pi\)
−0.575970 + 0.817471i \(0.695375\pi\)
\(774\) 17.2295 4.17983i 0.619301 0.150241i
\(775\) −29.3564 + 73.3288i −1.05451 + 2.63405i
\(776\) 16.2142 + 18.7122i 0.582055 + 0.671728i
\(777\) −2.24284 + 3.75486i −0.0804614 + 0.134705i
\(778\) −27.1440 23.5204i −0.973159 0.843247i
\(779\) 9.53842 + 2.31400i 0.341749 + 0.0829075i
\(780\) 9.57523 13.4465i 0.342848 0.481463i
\(781\) 1.52368 0.879700i 0.0545217 0.0314781i
\(782\) −5.88914 15.2565i −0.210595 0.545573i
\(783\) 2.94380i 0.105203i
\(784\) −34.2794 1.01805i −1.22426 0.0363591i
\(785\) −74.4720 + 21.8670i −2.65802 + 0.780465i
\(786\) −4.26818 12.3321i −0.152241 0.439871i
\(787\) 0.426486 8.95303i 0.0152026 0.319141i −0.978438 0.206541i \(-0.933779\pi\)
0.993640 0.112600i \(-0.0359178\pi\)
\(788\) 4.83475 13.9691i 0.172231 0.497628i
\(789\) 18.7314 + 7.49892i 0.666855 + 0.266969i
\(790\) −13.7822 + 46.9379i −0.490349 + 1.66998i
\(791\) 20.6651 14.2580i 0.734766 0.506957i
\(792\) −0.640100 0.0920325i −0.0227450 0.00327023i
\(793\) −10.0778 + 7.17634i −0.357872 + 0.254839i
\(794\) 1.80278 + 18.8795i 0.0639781 + 0.670009i
\(795\) −24.9009 + 9.96883i −0.883145 + 0.353558i
\(796\) 0.887783 + 18.6369i 0.0314666 + 0.660566i
\(797\) 6.73895 + 1.97873i 0.238706 + 0.0700903i 0.398897 0.916996i \(-0.369393\pi\)
−0.160192 + 0.987086i \(0.551211\pi\)
\(798\) 6.22178 + 2.25735i 0.220248 + 0.0799092i
\(799\) −13.2498 + 11.4810i −0.468745 + 0.406170i
\(800\) −36.1924 + 18.6585i −1.27959 + 0.659677i
\(801\) 3.12135 + 0.601590i 0.110287 + 0.0212561i
\(802\) 28.0441 29.4118i 0.990271 1.03857i
\(803\) −1.37796 0.131580i −0.0486273 0.00464334i
\(804\) 2.06290 0.0727527
\(805\) 6.19586 50.3425i 0.218375 1.77434i
\(806\) −71.2856 −2.51093
\(807\) −0.898638 0.0858095i −0.0316336 0.00302064i
\(808\) 19.8713 20.8404i 0.699071 0.733164i
\(809\) −24.9272 4.80432i −0.876392 0.168911i −0.268835 0.963186i \(-0.586639\pi\)
−0.607558 + 0.794276i \(0.707851\pi\)
\(810\) −5.81942 + 3.00012i −0.204474 + 0.105414i
\(811\) −13.3427 + 11.5615i −0.468526 + 0.405980i −0.856869 0.515535i \(-0.827593\pi\)
0.388343 + 0.921515i \(0.373048\pi\)
\(812\) −3.42115 4.06872i −0.120059 0.142784i
\(813\) 25.9567 + 7.62158i 0.910342 + 0.267301i
\(814\) 0.0386093 + 0.810508i 0.00135325 + 0.0284083i
\(815\) −2.12882 + 0.852250i −0.0745692 + 0.0298530i
\(816\) −0.969586 10.1540i −0.0339423 0.355460i
\(817\) 13.4678 9.59036i 0.471178 0.335524i
\(818\) 4.04849 + 0.582085i 0.141552 + 0.0203521i
\(819\) 1.28489 + 15.9558i 0.0448977 + 0.557540i
\(820\) −4.93959 + 16.8227i −0.172498 + 0.587474i
\(821\) 25.0084 + 10.0119i 0.872799 + 0.349416i 0.764439 0.644696i \(-0.223016\pi\)
0.108360 + 0.994112i \(0.465440\pi\)
\(822\) 9.98703 28.8556i 0.348338 1.00646i
\(823\) −0.664130 + 13.9418i −0.0231501 + 0.485981i 0.957286 + 0.289143i \(0.0933703\pi\)
−0.980436 + 0.196838i \(0.936933\pi\)
\(824\) 0.794625 + 2.29592i 0.0276821 + 0.0799821i
\(825\) 3.15730 0.927068i 0.109923 0.0322764i
\(826\) 27.0591 + 54.4573i 0.941507 + 1.89481i
\(827\) 26.1987i 0.911018i −0.890231 0.455509i \(-0.849457\pi\)
0.890231 0.455509i \(-0.150543\pi\)
\(828\) 1.99131 + 2.59789i 0.0692028 + 0.0902829i
\(829\) −43.0802 + 24.8724i −1.49624 + 0.863853i −0.999991 0.00432839i \(-0.998622\pi\)
−0.496247 + 0.868181i \(0.665289\pi\)
\(830\) 7.79832 10.9512i 0.270684 0.380122i
\(831\) −20.8258 5.05229i −0.722439 0.175262i
\(832\) 17.0301 + 14.7566i 0.590412 + 0.511595i
\(833\) 0.261004 + 14.5717i 0.00904326 + 0.504878i
\(834\) 7.32472 + 8.45318i 0.253634 + 0.292710i
\(835\) 25.7893 64.4185i 0.892474 2.22929i
\(836\) 0.303616 0.0736564i 0.0105008 0.00254746i
\(837\) 6.39408 + 3.29638i 0.221012 + 0.113940i
\(838\) 7.07456 + 5.56349i 0.244386 + 0.192188i
\(839\) 4.34427 9.51262i 0.149981 0.328412i −0.819698 0.572796i \(-0.805859\pi\)
0.969678 + 0.244384i \(0.0785859\pi\)
\(840\) 8.79558 21.0588i 0.303476 0.726597i
\(841\) 2.89383 20.1271i 0.0997874 0.694037i
\(842\) 20.1327 0.959040i 0.693820 0.0330507i
\(843\) −0.796009 3.28119i −0.0274160 0.113010i
\(844\) 9.09602 7.15319i 0.313098 0.246223i
\(845\) 92.6571 17.8582i 3.18750 0.614340i
\(846\) 7.45646 11.6025i 0.256358 0.398901i
\(847\) −26.9542 + 10.3293i −0.926158 + 0.354919i
\(848\) 9.26130 + 31.5411i 0.318034 + 1.08313i
\(849\) 0.487809 5.10856i 0.0167415 0.175325i
\(850\) 18.7206 + 32.4251i 0.642112 + 1.11217i
\(851\) −5.26572 + 5.92669i −0.180507 + 0.203164i
\(852\) −3.47006 2.00344i −0.118882 0.0686367i
\(853\) 4.35960 1.99096i 0.149270 0.0681692i −0.339379 0.940650i \(-0.610217\pi\)
0.488649 + 0.872480i \(0.337490\pi\)
\(854\) 5.90146 6.60979i 0.201944 0.226182i
\(855\) −3.99836 + 4.61436i −0.136741 + 0.157808i
\(856\) 7.97056 + 15.4607i 0.272428 + 0.528437i
\(857\) 23.6346 + 8.18002i 0.807343 + 0.279424i 0.699398 0.714733i \(-0.253452\pi\)
0.107945 + 0.994157i \(0.465573\pi\)
\(858\) 1.83579 + 2.33439i 0.0626727 + 0.0796948i
\(859\) −18.1182 19.0018i −0.618184 0.648333i 0.337984 0.941152i \(-0.390255\pi\)
−0.956168 + 0.292819i \(0.905407\pi\)
\(860\) 15.9673 + 24.8457i 0.544482 + 0.847230i
\(861\) −6.83248 15.5686i −0.232850 0.530577i
\(862\) −6.94613 3.17219i −0.236586 0.108045i
\(863\) −31.9910 44.9250i −1.08899 1.52927i −0.825332 0.564648i \(-0.809012\pi\)
−0.263654 0.964617i \(-0.584928\pi\)
\(864\) 1.37831 + 3.44285i 0.0468911 + 0.117128i
\(865\) 39.8328 77.2648i 1.35435 2.62708i
\(866\) −19.1977 + 18.3050i −0.652364 + 0.622028i
\(867\) 12.5364 1.80246i 0.425757 0.0612146i
\(868\) 12.6684 2.87488i 0.429992 0.0975798i
\(869\) −1.88377 1.21062i −0.0639025 0.0410676i
\(870\) 18.2137 6.30384i 0.617504 0.213720i
\(871\) 13.2346 + 12.6191i 0.448437 + 0.427583i
\(872\) 14.4551 + 10.2934i 0.489512 + 0.348580i
\(873\) −5.73723 + 9.93717i −0.194176 + 0.336322i
\(874\) 10.3147 + 6.12714i 0.348899 + 0.207254i
\(875\) 2.07122 + 63.2114i 0.0700201 + 2.13693i
\(876\) 1.30958 + 2.86758i 0.0442467 + 0.0968867i
\(877\) 0.199560 0.822597i 0.00673866 0.0277771i −0.968343 0.249623i \(-0.919693\pi\)
0.975082 + 0.221846i \(0.0712083\pi\)
\(878\) 5.21443 27.0550i 0.175978 0.913063i
\(879\) −2.42304 0.115424i −0.0817272 0.00389315i
\(880\) −1.11078 5.76328i −0.0374444 0.194280i
\(881\) 3.85453 + 26.8089i 0.129863 + 0.903214i 0.945725 + 0.324968i \(0.105354\pi\)
−0.815862 + 0.578246i \(0.803737\pi\)
\(882\) −3.42652 10.9409i −0.115377 0.368398i
\(883\) 2.38581 1.53327i 0.0802889 0.0515985i −0.499880 0.866094i \(-0.666623\pi\)
0.580169 + 0.814496i \(0.302986\pi\)
\(884\) −5.31462 + 6.75809i −0.178750 + 0.227299i
\(885\) −55.8427 + 5.33233i −1.87713 + 0.179244i
\(886\) −15.7320 + 1.50222i −0.528526 + 0.0504682i
\(887\) −14.8678 + 18.9059i −0.499210 + 0.634798i −0.968728 0.248126i \(-0.920185\pi\)
0.469518 + 0.882923i \(0.344428\pi\)
\(888\) −3.00083 + 1.92852i −0.100701 + 0.0647168i
\(889\) −11.1707 + 43.2345i −0.374653 + 1.45004i
\(890\) 2.96190 + 20.6005i 0.0992832 + 0.690530i
\(891\) −0.0567173 0.294277i −0.00190010 0.00985867i
\(892\) 6.12062 + 0.291561i 0.204933 + 0.00976218i
\(893\) 2.43409 12.6293i 0.0814538 0.422622i
\(894\) −0.886121 + 3.65264i −0.0296363 + 0.122163i
\(895\) −24.9666 54.6692i −0.834541 1.82739i
\(896\) −31.5406 16.8576i −1.05370 0.563172i
\(897\) −3.11648 + 28.8481i −0.104056 + 0.963210i
\(898\) −7.41518 + 12.8435i −0.247448 + 0.428592i
\(899\) −17.2503 12.2839i −0.575330 0.409691i
\(900\) −5.42370 5.17149i −0.180790 0.172383i
\(901\) 13.2015 4.56907i 0.439804 0.152218i
\(902\) −2.65353 1.70532i −0.0883529 0.0567809i
\(903\) −27.3567 8.47574i −0.910374 0.282055i
\(904\) 20.2679 2.91408i 0.674100 0.0969209i
\(905\) −58.4418 + 55.7241i −1.94267 + 1.85233i
\(906\) 3.72102 7.21776i 0.123622 0.239794i
\(907\) 5.95226 + 14.8680i 0.197641 + 0.493684i 0.993771 0.111442i \(-0.0355469\pi\)
−0.796130 + 0.605126i \(0.793123\pi\)
\(908\) −6.88118 9.66327i −0.228360 0.320687i
\(909\) 12.1389 + 5.54365i 0.402622 + 0.183871i
\(910\) −95.9694 + 42.1174i −3.18136 + 1.39618i
\(911\) 4.99605 + 7.77401i 0.165527 + 0.257564i 0.914101 0.405486i \(-0.132898\pi\)
−0.748575 + 0.663051i \(0.769261\pi\)
\(912\) 5.16382 + 5.41566i 0.170991 + 0.179330i
\(913\) 0.380407 + 0.483727i 0.0125896 + 0.0160090i
\(914\) −49.8493 17.2530i −1.64887 0.570679i
\(915\) 3.74565 + 7.26554i 0.123827 + 0.240191i
\(916\) 0.245185 0.282958i 0.00810113 0.00934921i
\(917\) −4.29635 + 20.6381i −0.141878 + 0.681530i
\(918\) 3.10183 1.41656i 0.102376 0.0467534i
\(919\) 48.1140 + 27.7786i 1.58713 + 0.916332i 0.993777 + 0.111392i \(0.0355310\pi\)
0.593357 + 0.804940i \(0.297802\pi\)
\(920\) 22.7955 34.5207i 0.751546 1.13811i
\(921\) −5.29863 9.17749i −0.174596 0.302409i
\(922\) −3.15273 + 33.0169i −0.103830 + 1.08735i
\(923\) −10.0068 34.0802i −0.329379 1.12176i
\(924\) −0.420386 0.340816i −0.0138297 0.0112120i
\(925\) 9.81312 15.2695i 0.322653 0.502058i
\(926\) −21.9524 + 4.23098i −0.721401 + 0.139039i
\(927\) −0.885038 + 0.696001i −0.0290685 + 0.0228597i
\(928\) −2.57380 10.6094i −0.0844892 0.348269i
\(929\) −34.5671 + 1.64663i −1.13411 + 0.0540242i −0.606225 0.795293i \(-0.707317\pi\)
−0.527883 + 0.849317i \(0.677014\pi\)
\(930\) −6.70295 + 46.6200i −0.219798 + 1.52873i
\(931\) −6.75858 8.28449i −0.221504 0.271513i
\(932\) −3.17078 + 6.94304i −0.103862 + 0.227427i
\(933\) −15.6510 12.3081i −0.512392 0.402950i
\(934\) −42.2181 21.7649i −1.38142 0.712171i
\(935\) −2.42397 + 0.588048i −0.0792722 + 0.0192312i
\(936\) −4.85217 + 12.1201i −0.158598 + 0.396159i
\(937\) 3.62414 + 4.18248i 0.118396 + 0.136636i 0.811853 0.583862i \(-0.198459\pi\)
−0.693458 + 0.720497i \(0.743914\pi\)
\(938\) −11.2441 6.71626i −0.367132 0.219294i
\(939\) 20.4026 + 17.6790i 0.665814 + 0.576931i
\(940\) 22.3275 + 5.41658i 0.728242 + 0.176670i
\(941\) −27.6916 + 38.8874i −0.902720 + 1.26769i 0.0602768 + 0.998182i \(0.480802\pi\)
−0.962997 + 0.269512i \(0.913138\pi\)
\(942\) −27.5402 + 15.9003i −0.897308 + 0.518061i
\(943\) −6.89341 30.0377i −0.224480 0.978162i
\(944\) 68.7506i 2.23764i
\(945\) 10.5557 + 0.660010i 0.343378 + 0.0214701i
\(946\) −5.09811 + 1.49694i −0.165754 + 0.0486697i
\(947\) 7.16812 + 20.7109i 0.232933 + 0.673015i 0.999523 + 0.0308786i \(0.00983052\pi\)
−0.766590 + 0.642136i \(0.778048\pi\)
\(948\) −0.242652 + 5.09390i −0.00788098 + 0.165442i
\(949\) −9.13992 + 26.4081i −0.296694 + 0.857242i
\(950\) −25.4998 10.2086i −0.827321 0.331210i
\(951\) −2.31647 + 7.88917i −0.0751167 + 0.255824i
\(952\) −5.09767 + 10.7376i −0.165216 + 0.348008i
\(953\) 11.9515 + 1.71837i 0.387147 + 0.0556633i 0.333140 0.942877i \(-0.391892\pi\)
0.0540065 + 0.998541i \(0.482801\pi\)
\(954\) −8.95184 + 6.37458i −0.289827 + 0.206385i
\(955\) −6.07604 63.6311i −0.196616 2.05905i
\(956\) 3.69070 1.47753i 0.119366 0.0477869i
\(957\) 0.0419785 + 0.881238i 0.00135697 + 0.0284864i
\(958\) −16.6738 4.89586i −0.538705 0.158178i
\(959\) −37.7535 + 31.7447i −1.21912 + 1.02509i
\(960\) 11.2520 9.74993i 0.363157 0.314678i
\(961\) 18.4437 9.50840i 0.594959 0.306723i
\(962\) 16.0852 + 3.10016i 0.518606 + 0.0999531i
\(963\) −5.56280 + 5.83409i −0.179259 + 0.188001i
\(964\) 0.701248 + 0.0669611i 0.0225857 + 0.00215667i
\(965\) −50.1665 −1.61492
\(966\) −2.39582 20.6433i −0.0770844 0.664188i
\(967\) −7.60487 −0.244556 −0.122278 0.992496i \(-0.539020\pi\)
−0.122278 + 0.992496i \(0.539020\pi\)
\(968\) −23.4356 2.23782i −0.753247 0.0719264i
\(969\) 2.19445 2.30147i 0.0704959 0.0739340i
\(970\) −73.7684 14.2177i −2.36856 0.456503i
\(971\) −5.81717 + 2.99896i −0.186682 + 0.0962413i −0.549034 0.835800i \(-0.685004\pi\)
0.362352 + 0.932041i \(0.381974\pi\)
\(972\) −0.515818 + 0.446959i −0.0165449 + 0.0143362i
\(973\) −3.15572 17.7907i −0.101168 0.570343i
\(974\) 55.7694 + 16.3754i 1.78697 + 0.524700i
\(975\) −3.16091 66.3557i −0.101230 2.12508i
\(976\) 9.30049 3.72336i 0.297702 0.119182i
\(977\) 0.738308 + 7.73192i 0.0236206 + 0.247366i 0.999569 + 0.0293635i \(0.00934802\pi\)
−0.975948 + 0.218002i \(0.930046\pi\)
\(978\) −0.765306 + 0.544972i −0.0244718 + 0.0174263i
\(979\) −0.942966 0.135578i −0.0301373 0.00433309i
\(980\) 15.3564 11.3552i 0.490544 0.362728i
\(981\) −2.31693 + 7.89073i −0.0739738 + 0.251932i
\(982\) −40.9131 16.3791i −1.30559 0.522679i
\(983\) 2.32691 6.72315i 0.0742168 0.214435i −0.901790 0.432174i \(-0.857747\pi\)
0.976007 + 0.217738i \(0.0698680\pi\)
\(984\) 0.659788 13.8506i 0.0210333 0.441543i
\(985\) −28.3167 81.8156i −0.902244 2.60686i
\(986\) −9.63170 + 2.82812i −0.306736 + 0.0900658i
\(987\) −19.9520 + 9.91386i −0.635078 + 0.315562i
\(988\) 6.30722i 0.200659i
\(989\) −45.8439 24.3592i −1.45775 0.774577i
\(990\) 1.69929 0.981083i 0.0540068 0.0311809i
\(991\) −20.4890 + 28.7728i −0.650856 + 0.913999i −0.999732 0.0231700i \(-0.992624\pi\)
0.348876 + 0.937169i \(0.386563\pi\)
\(992\) 25.9261 + 6.28961i 0.823155 + 0.199695i
\(993\) 19.1447 + 16.5890i 0.607540 + 0.526436i
\(994\) 12.3913 + 22.2176i 0.393028 + 0.704700i
\(995\) 71.5619 + 82.5868i 2.26866 + 2.61818i
\(996\) 0.520882 1.30110i 0.0165048 0.0412269i
\(997\) 58.2042 14.1202i 1.84335 0.447191i 0.846924 0.531713i \(-0.178452\pi\)
0.996422 + 0.0845224i \(0.0269365\pi\)
\(998\) −14.2152 7.32846i −0.449975 0.231978i
\(999\) −1.29943 1.02188i −0.0411121 0.0323309i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 483.2.bf.a.19.25 640
7.3 odd 6 inner 483.2.bf.a.157.8 yes 640
23.17 odd 22 inner 483.2.bf.a.40.8 yes 640
161.17 even 66 inner 483.2.bf.a.178.25 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.bf.a.19.25 640 1.1 even 1 trivial
483.2.bf.a.40.8 yes 640 23.17 odd 22 inner
483.2.bf.a.157.8 yes 640 7.3 odd 6 inner
483.2.bf.a.178.25 yes 640 161.17 even 66 inner