Properties

Label 483.2.y.a.25.16
Level $483$
Weight $2$
Character 483.25
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
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(4,483)]
 
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, 44, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), 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: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 25.16
Character \(\chi\) \(=\) 483.25
Dual form 483.2.y.a.58.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.130949 - 2.74897i) q^{2} +(-0.928368 - 0.371662i) q^{3} +(-5.54873 - 0.529839i) q^{4} +(-0.303790 - 1.25224i) q^{5} +(-1.14326 + 2.50338i) q^{6} +(-2.56818 - 0.635956i) q^{7} +(-1.39979 + 9.73574i) q^{8} +(0.723734 + 0.690079i) q^{9} +O(q^{10})\) \(q+(0.130949 - 2.74897i) q^{2} +(-0.928368 - 0.371662i) q^{3} +(-5.54873 - 0.529839i) q^{4} +(-0.303790 - 1.25224i) q^{5} +(-1.14326 + 2.50338i) q^{6} +(-2.56818 - 0.635956i) q^{7} +(-1.39979 + 9.73574i) q^{8} +(0.723734 + 0.690079i) q^{9} +(-3.48214 + 0.671128i) q^{10} +(-0.158578 - 3.32897i) q^{11} +(4.95434 + 2.55414i) q^{12} +(-0.760350 - 0.877491i) q^{13} +(-2.08453 + 6.97657i) q^{14} +(-0.183381 + 1.27544i) q^{15} +(15.6334 + 3.01310i) q^{16} +(2.40153 + 3.37248i) q^{17} +(1.99178 - 1.89916i) q^{18} +(0.490888 - 0.689356i) q^{19} +(1.02216 + 7.10928i) q^{20} +(2.14786 + 1.54490i) q^{21} -9.17200 q^{22} +(-1.32079 + 4.61037i) q^{23} +(4.91793 - 8.51810i) q^{24} +(2.96837 - 1.53030i) q^{25} +(-2.51176 + 1.97527i) q^{26} +(-0.415415 - 0.909632i) q^{27} +(13.9132 + 4.88947i) q^{28} +(-2.31911 + 5.07814i) q^{29} +(3.48214 + 0.671128i) q^{30} +(-6.51115 - 5.12042i) q^{31} +(5.69232 - 23.4641i) q^{32} +(-1.09003 + 3.14945i) q^{33} +(9.58532 - 6.16011i) q^{34} +(-0.0161817 + 3.40917i) q^{35} +(-3.65017 - 4.21252i) q^{36} +(-4.56388 - 4.35165i) q^{37} +(-1.83073 - 1.43971i) q^{38} +(0.379754 + 1.09723i) q^{39} +(12.6167 - 1.20475i) q^{40} +(-1.73640 - 0.509854i) q^{41} +(4.52813 - 5.70208i) q^{42} +(1.44742 + 10.0671i) q^{43} +(-0.883911 + 18.5556i) q^{44} +(0.644280 - 1.11593i) q^{45} +(12.5008 + 4.23454i) q^{46} +(-4.79965 - 8.31324i) q^{47} +(-13.3937 - 8.60763i) q^{48} +(6.19112 + 3.26650i) q^{49} +(-3.81803 - 8.36033i) q^{50} +(-0.976082 - 4.02346i) q^{51} +(3.75405 + 5.27182i) q^{52} +(-0.166435 - 0.480883i) q^{53} +(-2.55495 + 1.02285i) q^{54} +(-4.12049 + 1.20989i) q^{55} +(9.78641 - 24.1129i) q^{56} +(-0.711932 + 0.457531i) q^{57} +(13.6559 + 7.04013i) q^{58} +(-13.5788 + 2.61710i) q^{59} +(1.69331 - 6.97993i) q^{60} +(-10.2743 + 4.11322i) q^{61} +(-14.9285 + 17.2284i) q^{62} +(-1.41982 - 2.23251i) q^{63} +(-33.2040 - 9.74958i) q^{64} +(-0.867841 + 1.21871i) q^{65} +(8.51499 + 3.40889i) q^{66} +(-2.40537 + 1.24006i) q^{67} +(-11.5386 - 19.9854i) q^{68} +(2.93968 - 3.78923i) q^{69} +(9.36958 + 0.490912i) q^{70} +(3.06360 + 1.96885i) q^{71} +(-7.73150 + 6.08012i) q^{72} +(3.09800 + 0.295823i) q^{73} +(-12.5602 + 11.9761i) q^{74} +(-3.32449 + 0.317450i) q^{75} +(-3.08905 + 3.56495i) q^{76} +(-1.70982 + 8.65026i) q^{77} +(3.06597 - 0.900251i) q^{78} +(4.65859 - 13.4601i) q^{79} +(-0.976161 - 20.4921i) q^{80} +(0.0475819 + 0.998867i) q^{81} +(-1.62895 + 4.70655i) q^{82} +(5.08241 - 1.49233i) q^{83} +(-11.0993 - 9.71024i) q^{84} +(3.49359 - 4.03182i) q^{85} +(27.8635 - 2.66065i) q^{86} +(4.04034 - 3.85245i) q^{87} +(32.6320 + 3.11598i) q^{88} +(-4.55118 + 3.57909i) q^{89} +(-2.98328 - 1.91723i) q^{90} +(1.39467 + 2.73711i) q^{91} +(9.77147 - 24.8819i) q^{92} +(4.14167 + 7.17358i) q^{93} +(-23.4813 + 12.1055i) q^{94} +(-1.01236 - 0.405289i) q^{95} +(-14.0053 + 19.6677i) q^{96} +(4.94121 + 1.45087i) q^{97} +(9.79023 - 16.5914i) q^{98} +(2.18249 - 2.51872i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 8 q^{10} - 6 q^{11} - 18 q^{12} - 10 q^{14} + 18 q^{15} + 8 q^{16} + 4 q^{17} + 2 q^{18} + 18 q^{20} + 4 q^{21} - 176 q^{22} - 18 q^{23} - 6 q^{24} + 8 q^{25} - 14 q^{26} + 32 q^{27} + 46 q^{28} + 34 q^{29} - 8 q^{30} + 52 q^{31} - 8 q^{32} - 5 q^{33} - 24 q^{34} - 12 q^{35} - 14 q^{36} - 30 q^{37} - 157 q^{38} + 88 q^{40} - 28 q^{41} - 45 q^{42} + 64 q^{43} - 71 q^{44} - 2 q^{45} + 4 q^{46} + 36 q^{47} + 60 q^{48} + 28 q^{49} + 210 q^{50} - 26 q^{51} - 198 q^{52} - 10 q^{53} - 2 q^{54} - 4 q^{55} + 44 q^{57} + 31 q^{58} + 10 q^{59} - 2 q^{60} - 34 q^{61} - 8 q^{62} + 2 q^{63} + 84 q^{64} + 38 q^{65} - 12 q^{67} - 22 q^{68} + 8 q^{69} - 336 q^{70} - 144 q^{71} + 6 q^{72} - 16 q^{73} - 68 q^{74} - 30 q^{75} + 8 q^{76} + 98 q^{77} + 16 q^{78} + 26 q^{79} + 225 q^{80} + 16 q^{81} - 122 q^{82} + 44 q^{84} - 240 q^{85} - 26 q^{86} - 16 q^{87} + 43 q^{88} + 68 q^{89} - 16 q^{90} + 40 q^{91} - 222 q^{92} - 8 q^{93} + 137 q^{94} - 49 q^{95} + 30 q^{96} - 8 q^{97} + 137 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.130949 2.74897i 0.0925952 1.94381i −0.184210 0.982887i \(-0.558973\pi\)
0.276805 0.960926i \(-0.410724\pi\)
\(3\) −0.928368 0.371662i −0.535993 0.214579i
\(4\) −5.54873 0.529839i −2.77436 0.264920i
\(5\) −0.303790 1.25224i −0.135859 0.560018i −0.998527 0.0542482i \(-0.982724\pi\)
0.862669 0.505770i \(-0.168791\pi\)
\(6\) −1.14326 + 2.50338i −0.466733 + 1.02200i
\(7\) −2.56818 0.635956i −0.970682 0.240369i
\(8\) −1.39979 + 9.73574i −0.494900 + 3.44210i
\(9\) 0.723734 + 0.690079i 0.241245 + 0.230026i
\(10\) −3.48214 + 0.671128i −1.10115 + 0.212229i
\(11\) −0.158578 3.32897i −0.0478132 1.00372i −0.887545 0.460721i \(-0.847591\pi\)
0.839732 0.543002i \(-0.182712\pi\)
\(12\) 4.95434 + 2.55414i 1.43019 + 0.737316i
\(13\) −0.760350 0.877491i −0.210883 0.243372i 0.640447 0.768002i \(-0.278749\pi\)
−0.851330 + 0.524630i \(0.824204\pi\)
\(14\) −2.08453 + 6.97657i −0.557113 + 1.86457i
\(15\) −0.183381 + 1.27544i −0.0473488 + 0.329318i
\(16\) 15.6334 + 3.01310i 3.90836 + 0.753275i
\(17\) 2.40153 + 3.37248i 0.582457 + 0.817947i 0.995696 0.0926756i \(-0.0295419\pi\)
−0.413239 + 0.910623i \(0.635603\pi\)
\(18\) 1.99178 1.89916i 0.469466 0.447635i
\(19\) 0.490888 0.689356i 0.112617 0.158149i −0.754420 0.656392i \(-0.772082\pi\)
0.867038 + 0.498243i \(0.166021\pi\)
\(20\) 1.02216 + 7.10928i 0.228562 + 1.58968i
\(21\) 2.14786 + 1.54490i 0.468701 + 0.337124i
\(22\) −9.17200 −1.95548
\(23\) −1.32079 + 4.61037i −0.275404 + 0.961328i
\(24\) 4.91793 8.51810i 1.00387 1.73875i
\(25\) 2.96837 1.53030i 0.593673 0.306060i
\(26\) −2.51176 + 1.97527i −0.492597 + 0.387383i
\(27\) −0.415415 0.909632i −0.0799467 0.175059i
\(28\) 13.9132 + 4.88947i 2.62934 + 0.924023i
\(29\) −2.31911 + 5.07814i −0.430647 + 0.942986i 0.562574 + 0.826747i \(0.309811\pi\)
−0.993221 + 0.116239i \(0.962916\pi\)
\(30\) 3.48214 + 0.671128i 0.635749 + 0.122531i
\(31\) −6.51115 5.12042i −1.16944 0.919655i −0.171585 0.985169i \(-0.554889\pi\)
−0.997852 + 0.0655146i \(0.979131\pi\)
\(32\) 5.69232 23.4641i 1.00627 4.14790i
\(33\) −1.09003 + 3.14945i −0.189751 + 0.548249i
\(34\) 9.58532 6.16011i 1.64387 1.05645i
\(35\) −0.0161817 + 3.40917i −0.00273521 + 0.576255i
\(36\) −3.65017 4.21252i −0.608362 0.702087i
\(37\) −4.56388 4.35165i −0.750297 0.715407i 0.214985 0.976617i \(-0.431030\pi\)
−0.965282 + 0.261211i \(0.915878\pi\)
\(38\) −1.83073 1.43971i −0.296984 0.233551i
\(39\) 0.379754 + 1.09723i 0.0608094 + 0.175697i
\(40\) 12.6167 1.20475i 1.99488 0.190487i
\(41\) −1.73640 0.509854i −0.271181 0.0796258i 0.143315 0.989677i \(-0.454224\pi\)
−0.414496 + 0.910051i \(0.636042\pi\)
\(42\) 4.52813 5.70208i 0.698706 0.879850i
\(43\) 1.44742 + 10.0671i 0.220730 + 1.53521i 0.735287 + 0.677756i \(0.237047\pi\)
−0.514557 + 0.857456i \(0.672044\pi\)
\(44\) −0.883911 + 18.5556i −0.133255 + 2.79736i
\(45\) 0.644280 1.11593i 0.0960436 0.166352i
\(46\) 12.5008 + 4.23454i 1.84314 + 0.624349i
\(47\) −4.79965 8.31324i −0.700101 1.21261i −0.968431 0.249283i \(-0.919805\pi\)
0.268330 0.963327i \(-0.413528\pi\)
\(48\) −13.3937 8.60763i −1.93322 1.24240i
\(49\) 6.19112 + 3.26650i 0.884446 + 0.466643i
\(50\) −3.81803 8.36033i −0.539952 1.18233i
\(51\) −0.976082 4.02346i −0.136679 0.563398i
\(52\) 3.75405 + 5.27182i 0.520593 + 0.731070i
\(53\) −0.166435 0.480883i −0.0228616 0.0660544i 0.932993 0.359895i \(-0.117188\pi\)
−0.955854 + 0.293841i \(0.905066\pi\)
\(54\) −2.55495 + 1.02285i −0.347684 + 0.139192i
\(55\) −4.12049 + 1.20989i −0.555607 + 0.163141i
\(56\) 9.78641 24.1129i 1.30776 3.22223i
\(57\) −0.711932 + 0.457531i −0.0942978 + 0.0606015i
\(58\) 13.6559 + 7.04013i 1.79311 + 0.924414i
\(59\) −13.5788 + 2.61710i −1.76781 + 0.340717i −0.966330 0.257306i \(-0.917165\pi\)
−0.801479 + 0.598023i \(0.795953\pi\)
\(60\) 1.69331 6.97993i 0.218606 0.901105i
\(61\) −10.2743 + 4.11322i −1.31549 + 0.526644i −0.920034 0.391839i \(-0.871839\pi\)
−0.395460 + 0.918483i \(0.629415\pi\)
\(62\) −14.9285 + 17.2284i −1.89592 + 2.18801i
\(63\) −1.41982 2.23251i −0.178881 0.281270i
\(64\) −33.2040 9.74958i −4.15050 1.21870i
\(65\) −0.867841 + 1.21871i −0.107642 + 0.151163i
\(66\) 8.51499 + 3.40889i 1.04812 + 0.419605i
\(67\) −2.40537 + 1.24006i −0.293863 + 0.151497i −0.598854 0.800858i \(-0.704377\pi\)
0.304991 + 0.952355i \(0.401347\pi\)
\(68\) −11.5386 19.9854i −1.39926 2.42359i
\(69\) 2.93968 3.78923i 0.353896 0.456170i
\(70\) 9.36958 + 0.490912i 1.11988 + 0.0586752i
\(71\) 3.06360 + 1.96885i 0.363582 + 0.233660i 0.709658 0.704547i \(-0.248850\pi\)
−0.346076 + 0.938207i \(0.612486\pi\)
\(72\) −7.73150 + 6.08012i −0.911166 + 0.716549i
\(73\) 3.09800 + 0.295823i 0.362593 + 0.0346234i 0.274763 0.961512i \(-0.411401\pi\)
0.0878302 + 0.996135i \(0.472007\pi\)
\(74\) −12.5602 + 11.9761i −1.46009 + 1.39219i
\(75\) −3.32449 + 0.317450i −0.383879 + 0.0366560i
\(76\) −3.08905 + 3.56495i −0.354338 + 0.408928i
\(77\) −1.70982 + 8.65026i −0.194852 + 0.985788i
\(78\) 3.06597 0.900251i 0.347153 0.101933i
\(79\) 4.65859 13.4601i 0.524133 1.51438i −0.303343 0.952881i \(-0.598103\pi\)
0.827476 0.561501i \(-0.189776\pi\)
\(80\) −0.976161 20.4921i −0.109138 2.29109i
\(81\) 0.0475819 + 0.998867i 0.00528688 + 0.110985i
\(82\) −1.62895 + 4.70655i −0.179888 + 0.519751i
\(83\) 5.08241 1.49233i 0.557867 0.163804i 0.00936839 0.999956i \(-0.497018\pi\)
0.548498 + 0.836152i \(0.315200\pi\)
\(84\) −11.0993 9.71024i −1.21104 1.05947i
\(85\) 3.49359 4.03182i 0.378933 0.437312i
\(86\) 27.8635 2.66065i 3.00460 0.286905i
\(87\) 4.04034 3.85245i 0.433170 0.413026i
\(88\) 32.6320 + 3.11598i 3.47858 + 0.332164i
\(89\) −4.55118 + 3.57909i −0.482424 + 0.379382i −0.829547 0.558437i \(-0.811401\pi\)
0.347123 + 0.937820i \(0.387159\pi\)
\(90\) −2.98328 1.91723i −0.314465 0.202094i
\(91\) 1.39467 + 2.73711i 0.146201 + 0.286927i
\(92\) 9.77147 24.8819i 1.01875 2.59411i
\(93\) 4.14167 + 7.17358i 0.429471 + 0.743866i
\(94\) −23.4813 + 12.1055i −2.42191 + 1.24858i
\(95\) −1.01236 0.405289i −0.103866 0.0415818i
\(96\) −14.0053 + 19.6677i −1.42941 + 2.00732i
\(97\) 4.94121 + 1.45087i 0.501704 + 0.147313i 0.522785 0.852464i \(-0.324893\pi\)
−0.0210819 + 0.999778i \(0.506711\pi\)
\(98\) 9.79023 16.5914i 0.988963 1.67599i
\(99\) 2.18249 2.51872i 0.219348 0.253141i
\(100\) −17.2815 + 6.91845i −1.72815 + 0.691845i
\(101\) −1.57948 + 6.51069i −0.157164 + 0.647838i 0.837657 + 0.546196i \(0.183925\pi\)
−0.994821 + 0.101642i \(0.967590\pi\)
\(102\) −11.1882 + 2.15635i −1.10780 + 0.213510i
\(103\) −5.60325 2.88868i −0.552104 0.284630i 0.159514 0.987196i \(-0.449007\pi\)
−0.711619 + 0.702566i \(0.752038\pi\)
\(104\) 9.60735 6.17427i 0.942078 0.605437i
\(105\) 1.28208 3.15895i 0.125119 0.308282i
\(106\) −1.34373 + 0.394554i −0.130514 + 0.0383224i
\(107\) −6.16804 + 2.46931i −0.596287 + 0.238717i −0.650119 0.759833i \(-0.725281\pi\)
0.0538314 + 0.998550i \(0.482857\pi\)
\(108\) 1.82307 + 5.26740i 0.175425 + 0.506856i
\(109\) −7.70489 10.8200i −0.737995 1.03637i −0.997503 0.0706278i \(-0.977500\pi\)
0.259508 0.965741i \(-0.416440\pi\)
\(110\) 2.78636 + 11.4855i 0.265669 + 1.09510i
\(111\) 2.61961 + 5.73615i 0.248643 + 0.544451i
\(112\) −38.2333 17.6804i −3.61271 1.67064i
\(113\) 2.72096 + 1.74865i 0.255966 + 0.164499i 0.662331 0.749212i \(-0.269567\pi\)
−0.406365 + 0.913711i \(0.633204\pi\)
\(114\) 1.16451 + 2.01699i 0.109066 + 0.188909i
\(115\) 6.17452 + 0.253365i 0.575777 + 0.0236264i
\(116\) 15.5587 26.9484i 1.44459 2.50210i
\(117\) 0.0552468 1.15977i 0.00510756 0.107221i
\(118\) 5.41618 + 37.6704i 0.498600 + 3.46784i
\(119\) −4.02282 10.1884i −0.368772 0.933971i
\(120\) −12.1607 3.57070i −1.11011 0.325959i
\(121\) −0.106717 + 0.0101903i −0.00970159 + 0.000926389i
\(122\) 9.96169 + 28.7824i 0.901889 + 2.60584i
\(123\) 1.42253 + 1.11869i 0.128265 + 0.100869i
\(124\) 33.4156 + 31.8617i 3.00081 + 2.86126i
\(125\) −7.03719 8.12136i −0.629426 0.726396i
\(126\) −6.32303 + 3.61069i −0.563300 + 0.321666i
\(127\) 10.3263 6.63633i 0.916314 0.588879i 0.00472798 0.999989i \(-0.498495\pi\)
0.911586 + 0.411110i \(0.134859\pi\)
\(128\) −15.3554 + 44.3666i −1.35724 + 3.92149i
\(129\) 2.39781 9.88389i 0.211115 0.870228i
\(130\) 3.23656 + 2.54526i 0.283865 + 0.223234i
\(131\) −8.33819 1.60705i −0.728511 0.140409i −0.188508 0.982072i \(-0.560365\pi\)
−0.540004 + 0.841663i \(0.681577\pi\)
\(132\) 7.71700 16.8979i 0.671679 1.47077i
\(133\) −1.69909 + 1.45821i −0.147330 + 0.126443i
\(134\) 3.09389 + 6.77468i 0.267272 + 0.585243i
\(135\) −1.01288 + 0.796535i −0.0871746 + 0.0685548i
\(136\) −36.1952 + 18.6599i −3.10372 + 1.60008i
\(137\) −8.05657 + 13.9544i −0.688319 + 1.19220i 0.284062 + 0.958806i \(0.408318\pi\)
−0.972381 + 0.233398i \(0.925016\pi\)
\(138\) −10.0315 8.57729i −0.853939 0.730147i
\(139\) −20.6536 −1.75182 −0.875908 0.482477i \(-0.839737\pi\)
−0.875908 + 0.482477i \(0.839737\pi\)
\(140\) 1.89610 18.9080i 0.160250 1.59802i
\(141\) 1.36612 + 9.50159i 0.115048 + 0.800178i
\(142\) 5.81349 8.16391i 0.487857 0.685100i
\(143\) −2.80057 + 2.67034i −0.234195 + 0.223305i
\(144\) 9.23518 + 12.9690i 0.769598 + 1.08075i
\(145\) 7.06356 + 1.36139i 0.586596 + 0.113057i
\(146\) 1.21889 8.47755i 0.100876 0.701607i
\(147\) −4.53360 5.33352i −0.373925 0.439902i
\(148\) 23.0180 + 26.5642i 1.89207 + 2.18357i
\(149\) 8.00488 + 4.12680i 0.655785 + 0.338081i 0.753800 0.657104i \(-0.228219\pi\)
−0.0980147 + 0.995185i \(0.531249\pi\)
\(150\) 0.437320 + 9.18048i 0.0357071 + 0.749583i
\(151\) 15.5764 3.00211i 1.26759 0.244308i 0.489246 0.872146i \(-0.337272\pi\)
0.778344 + 0.627838i \(0.216060\pi\)
\(152\) 6.02425 + 5.74411i 0.488631 + 0.465909i
\(153\) −0.589207 + 4.09803i −0.0476346 + 0.331306i
\(154\) 23.5554 + 5.83299i 1.89815 + 0.470036i
\(155\) −4.43397 + 9.70903i −0.356145 + 0.779848i
\(156\) −1.52580 6.28943i −0.122162 0.503557i
\(157\) −11.1364 1.06340i −0.888780 0.0848682i −0.359331 0.933210i \(-0.616995\pi\)
−0.529449 + 0.848342i \(0.677601\pi\)
\(158\) −36.3914 14.5689i −2.89514 1.15904i
\(159\) −0.0242130 + 0.508294i −0.00192022 + 0.0403104i
\(160\) −31.1118 −2.45961
\(161\) 6.32403 11.0003i 0.498404 0.866945i
\(162\) 2.75208 0.216224
\(163\) 0.349724 7.34160i 0.0273925 0.575039i −0.942896 0.333088i \(-0.891910\pi\)
0.970288 0.241951i \(-0.0777874\pi\)
\(164\) 9.36468 + 3.74905i 0.731259 + 0.292752i
\(165\) 4.27500 + 0.408213i 0.332808 + 0.0317793i
\(166\) −3.43683 14.1668i −0.266749 1.09956i
\(167\) 4.22982 9.26202i 0.327313 0.716716i −0.672411 0.740178i \(-0.734741\pi\)
0.999725 + 0.0234614i \(0.00746867\pi\)
\(168\) −18.0473 + 18.7484i −1.39238 + 1.44647i
\(169\) 1.65823 11.5333i 0.127557 0.887175i
\(170\) −10.6258 10.1317i −0.814965 0.777068i
\(171\) 0.830982 0.160159i 0.0635468 0.0122476i
\(172\) −2.69744 56.6262i −0.205678 4.31771i
\(173\) 14.9824 + 7.72396i 1.13909 + 0.587242i 0.921338 0.388762i \(-0.127097\pi\)
0.217752 + 0.976004i \(0.430128\pi\)
\(174\) −10.0612 11.6112i −0.762737 0.880245i
\(175\) −8.59651 + 2.04233i −0.649835 + 0.154386i
\(176\) 7.55139 52.5211i 0.569208 3.95893i
\(177\) 13.5788 + 2.61710i 1.02064 + 0.196713i
\(178\) 9.24281 + 12.9797i 0.692778 + 0.972871i
\(179\) 0.615427 0.586809i 0.0459992 0.0438602i −0.666731 0.745299i \(-0.732307\pi\)
0.712730 + 0.701438i \(0.247458\pi\)
\(180\) −4.16619 + 5.85060i −0.310530 + 0.436078i
\(181\) −3.37651 23.4841i −0.250974 1.74556i −0.592391 0.805650i \(-0.701816\pi\)
0.341417 0.939912i \(-0.389093\pi\)
\(182\) 7.70685 3.47548i 0.571270 0.257620i
\(183\) 11.0671 0.818103
\(184\) −43.0365 19.3124i −3.17269 1.42373i
\(185\) −4.06284 + 7.03705i −0.298706 + 0.517374i
\(186\) 20.2623 10.4459i 1.48570 0.765933i
\(187\) 10.8461 8.52944i 0.793143 0.623735i
\(188\) 22.2273 + 48.6709i 1.62109 + 3.54969i
\(189\) 0.488375 + 2.60029i 0.0355241 + 0.189143i
\(190\) −1.24670 + 2.72988i −0.0904448 + 0.198047i
\(191\) −14.0458 2.70711i −1.01632 0.195880i −0.346223 0.938152i \(-0.612536\pi\)
−0.670098 + 0.742272i \(0.733748\pi\)
\(192\) 27.2020 + 21.3919i 1.96313 + 1.54383i
\(193\) 0.272778 1.12441i 0.0196350 0.0809365i −0.961151 0.276023i \(-0.910984\pi\)
0.980786 + 0.195086i \(0.0624987\pi\)
\(194\) 4.63544 13.3932i 0.332805 0.961577i
\(195\) 1.25863 0.808869i 0.0901320 0.0579243i
\(196\) −32.6221 21.4052i −2.33015 1.52895i
\(197\) 6.45879 + 7.45384i 0.460170 + 0.531064i 0.937651 0.347578i \(-0.112996\pi\)
−0.477482 + 0.878642i \(0.658450\pi\)
\(198\) −6.63809 6.32940i −0.471748 0.449811i
\(199\) −9.95596 7.82945i −0.705759 0.555015i 0.199488 0.979900i \(-0.436072\pi\)
−0.905247 + 0.424885i \(0.860315\pi\)
\(200\) 10.7435 + 31.0413i 0.759681 + 2.19495i
\(201\) 2.69395 0.257241i 0.190017 0.0181444i
\(202\) 17.6908 + 5.19450i 1.24472 + 0.365484i
\(203\) 9.18536 11.5667i 0.644686 0.811825i
\(204\) 3.28422 + 22.8423i 0.229942 + 1.59928i
\(205\) −0.110957 + 2.32928i −0.00774958 + 0.162684i
\(206\) −8.67461 + 15.0249i −0.604389 + 1.04683i
\(207\) −4.13742 + 2.42523i −0.287571 + 0.168565i
\(208\) −9.24293 16.0092i −0.640882 1.11004i
\(209\) −2.37269 1.52484i −0.164122 0.105475i
\(210\) −8.51596 3.93807i −0.587657 0.271753i
\(211\) −7.74830 16.9664i −0.533415 1.16802i −0.964106 0.265517i \(-0.914457\pi\)
0.430691 0.902499i \(-0.358270\pi\)
\(212\) 0.668713 + 2.75647i 0.0459274 + 0.189315i
\(213\) −2.11240 2.96645i −0.144739 0.203257i
\(214\) 5.98036 + 17.2791i 0.408809 + 1.18118i
\(215\) 12.1666 4.87079i 0.829758 0.332185i
\(216\) 9.43743 2.77108i 0.642136 0.188548i
\(217\) 13.4654 + 17.2910i 0.914094 + 1.17379i
\(218\) −30.7528 + 19.7636i −2.08284 + 1.33856i
\(219\) −2.76613 1.42604i −0.186918 0.0963629i
\(220\) 23.5045 4.53012i 1.58467 0.305421i
\(221\) 1.13332 4.67159i 0.0762351 0.314245i
\(222\) 16.1115 6.45008i 1.08133 0.432901i
\(223\) 9.62658 11.1097i 0.644643 0.743958i −0.335545 0.942024i \(-0.608921\pi\)
0.980189 + 0.198066i \(0.0634660\pi\)
\(224\) −29.5410 + 56.6399i −1.97379 + 3.78441i
\(225\) 3.20433 + 0.940878i 0.213622 + 0.0627252i
\(226\) 5.16329 7.25083i 0.343457 0.482318i
\(227\) 12.7539 + 5.10589i 0.846506 + 0.338890i 0.754042 0.656826i \(-0.228101\pi\)
0.0924639 + 0.995716i \(0.470526\pi\)
\(228\) 4.19274 2.16151i 0.277671 0.143149i
\(229\) 0.410684 + 0.711326i 0.0271388 + 0.0470057i 0.879276 0.476313i \(-0.158027\pi\)
−0.852137 + 0.523319i \(0.824694\pi\)
\(230\) 1.50504 16.9404i 0.0992396 1.11702i
\(231\) 4.80232 7.39514i 0.315969 0.486565i
\(232\) −46.1931 29.6865i −3.03273 1.94902i
\(233\) 10.5817 8.32151i 0.693228 0.545161i −0.208202 0.978086i \(-0.566761\pi\)
0.901430 + 0.432925i \(0.142519\pi\)
\(234\) −3.18094 0.303743i −0.207945 0.0198563i
\(235\) −8.95206 + 8.53578i −0.583968 + 0.556813i
\(236\) 76.7317 7.32698i 4.99481 0.476946i
\(237\) −9.32751 + 10.7645i −0.605887 + 0.699231i
\(238\) −28.5344 + 9.72444i −1.84961 + 0.630342i
\(239\) 5.21457 1.53114i 0.337303 0.0990410i −0.108695 0.994075i \(-0.534667\pi\)
0.445998 + 0.895034i \(0.352849\pi\)
\(240\) −6.70992 + 19.3870i −0.433123 + 1.25143i
\(241\) −0.711382 14.9337i −0.0458241 0.961967i −0.898350 0.439281i \(-0.855233\pi\)
0.852526 0.522685i \(-0.175070\pi\)
\(242\) 0.0140382 + 0.294697i 0.000902407 + 0.0189438i
\(243\) 0.327068 0.945001i 0.0209814 0.0606218i
\(244\) 59.1888 17.3794i 3.78917 1.11260i
\(245\) 2.20964 8.74508i 0.141169 0.558703i
\(246\) 3.26151 3.76399i 0.207947 0.239983i
\(247\) −0.978151 + 0.0934021i −0.0622382 + 0.00594303i
\(248\) 58.9653 56.2233i 3.74430 3.57018i
\(249\) −5.27299 0.503509i −0.334162 0.0319086i
\(250\) −23.2469 + 18.2815i −1.47026 + 1.15623i
\(251\) −20.1234 12.9325i −1.27018 0.816293i −0.280533 0.959844i \(-0.590511\pi\)
−0.989643 + 0.143552i \(0.954148\pi\)
\(252\) 6.69532 + 13.1399i 0.421766 + 0.827734i
\(253\) 15.5572 + 3.66578i 0.978075 + 0.230466i
\(254\) −16.8908 29.2558i −1.05982 1.83567i
\(255\) −4.74181 + 2.44457i −0.296944 + 0.153085i
\(256\) 55.6977 + 22.2980i 3.48111 + 1.39362i
\(257\) 1.04285 1.46448i 0.0650511 0.0913515i −0.780769 0.624820i \(-0.785172\pi\)
0.845820 + 0.533469i \(0.179112\pi\)
\(258\) −26.8565 7.88578i −1.67201 0.490947i
\(259\) 8.95341 + 14.0783i 0.556338 + 0.874780i
\(260\) 5.46113 6.30248i 0.338685 0.390863i
\(261\) −5.18273 + 2.07485i −0.320803 + 0.128430i
\(262\) −5.50962 + 22.7110i −0.340386 + 1.40309i
\(263\) −21.7806 + 4.19787i −1.34305 + 0.258852i −0.809602 0.586980i \(-0.800317\pi\)
−0.533450 + 0.845832i \(0.679105\pi\)
\(264\) −29.1364 15.0209i −1.79322 0.924469i
\(265\) −0.551619 + 0.354504i −0.0338857 + 0.0217770i
\(266\) 3.78607 + 4.86169i 0.232139 + 0.298090i
\(267\) 5.55538 1.63121i 0.339984 0.0998282i
\(268\) 14.0038 5.60627i 0.855418 0.342458i
\(269\) −9.56280 27.6299i −0.583054 1.68462i −0.719939 0.694037i \(-0.755830\pi\)
0.136885 0.990587i \(-0.456291\pi\)
\(270\) 2.05701 + 2.88867i 0.125186 + 0.175799i
\(271\) 3.87128 + 15.9577i 0.235164 + 0.969358i 0.959902 + 0.280334i \(0.0904454\pi\)
−0.724739 + 0.689024i \(0.758039\pi\)
\(272\) 27.3826 + 59.9596i 1.66031 + 3.63558i
\(273\) −0.277489 3.05939i −0.0167944 0.185163i
\(274\) 37.3051 + 23.9746i 2.25369 + 1.44836i
\(275\) −5.56504 9.63893i −0.335585 0.581250i
\(276\) −18.3192 + 19.4678i −1.10268 + 1.17183i
\(277\) −9.76642 + 16.9159i −0.586807 + 1.01638i 0.407840 + 0.913053i \(0.366282\pi\)
−0.994647 + 0.103327i \(0.967051\pi\)
\(278\) −2.70458 + 56.7761i −0.162210 + 3.40520i
\(279\) −1.17884 8.19903i −0.0705754 0.490863i
\(280\) −33.1681 4.92966i −1.98218 0.294603i
\(281\) 10.8761 + 3.19350i 0.648811 + 0.190508i 0.589547 0.807734i \(-0.299306\pi\)
0.0592643 + 0.998242i \(0.481125\pi\)
\(282\) 26.2984 2.51120i 1.56605 0.149540i
\(283\) 1.18761 + 3.43139i 0.0705964 + 0.203975i 0.974779 0.223170i \(-0.0716406\pi\)
−0.904183 + 0.427145i \(0.859519\pi\)
\(284\) −15.9559 12.5478i −0.946808 0.744578i
\(285\) 0.789216 + 0.752516i 0.0467491 + 0.0445752i
\(286\) 6.97393 + 8.04835i 0.412377 + 0.475909i
\(287\) 4.13515 + 2.41367i 0.244090 + 0.142475i
\(288\) 20.3118 13.0536i 1.19688 0.769190i
\(289\) −0.0461166 + 0.133245i −0.00271274 + 0.00783795i
\(290\) 4.66738 19.2392i 0.274078 1.12977i
\(291\) −4.04802 3.18340i −0.237299 0.186614i
\(292\) −17.0332 3.28288i −0.996792 0.192116i
\(293\) −2.20598 + 4.83042i −0.128875 + 0.282196i −0.963059 0.269289i \(-0.913211\pi\)
0.834185 + 0.551485i \(0.185939\pi\)
\(294\) −15.2554 + 11.7643i −0.889710 + 0.686107i
\(295\) 7.40233 + 16.2088i 0.430980 + 0.943715i
\(296\) 48.7550 38.3413i 2.83382 2.22854i
\(297\) −2.96226 + 1.52715i −0.171888 + 0.0886144i
\(298\) 12.3927 21.4647i 0.717888 1.24342i
\(299\) 5.04982 2.34651i 0.292039 0.135702i
\(300\) 18.6149 1.07473
\(301\) 2.68496 26.7745i 0.154759 1.54326i
\(302\) −6.21297 43.2122i −0.357516 2.48658i
\(303\) 3.88611 5.45728i 0.223251 0.313513i
\(304\) 9.75137 9.29791i 0.559279 0.533272i
\(305\) 8.27197 + 11.6164i 0.473652 + 0.665150i
\(306\) 11.1882 + 2.15635i 0.639586 + 0.123270i
\(307\) 0.821732 5.71527i 0.0468987 0.326188i −0.952843 0.303464i \(-0.901857\pi\)
0.999742 0.0227243i \(-0.00723400\pi\)
\(308\) 14.0706 47.0920i 0.801746 2.68331i
\(309\) 4.12826 + 4.76427i 0.234849 + 0.271030i
\(310\) 26.1092 + 13.4602i 1.48290 + 0.764489i
\(311\) 1.32744 + 27.8665i 0.0752724 + 1.58016i 0.648789 + 0.760968i \(0.275276\pi\)
−0.573517 + 0.819194i \(0.694421\pi\)
\(312\) −11.2139 + 2.16130i −0.634862 + 0.122360i
\(313\) −10.1963 9.72218i −0.576331 0.549530i 0.344854 0.938656i \(-0.387929\pi\)
−0.921184 + 0.389126i \(0.872777\pi\)
\(314\) −4.38154 + 30.4743i −0.247265 + 1.71976i
\(315\) −2.36431 + 2.45617i −0.133214 + 0.138389i
\(316\) −32.9810 + 72.2182i −1.85532 + 4.06259i
\(317\) 5.52742 + 22.7843i 0.310451 + 1.27970i 0.886671 + 0.462402i \(0.153012\pi\)
−0.576220 + 0.817295i \(0.695473\pi\)
\(318\) 1.39411 + 0.133122i 0.0781780 + 0.00746509i
\(319\) 17.2727 + 6.91496i 0.967088 + 0.387163i
\(320\) −2.12176 + 44.5411i −0.118610 + 2.48993i
\(321\) 6.64397 0.370830
\(322\) −29.4113 18.8250i −1.63903 1.04908i
\(323\) 3.50372 0.194952
\(324\) 0.265220 5.56765i 0.0147344 0.309314i
\(325\) −3.59982 1.44115i −0.199682 0.0799407i
\(326\) −20.1360 1.92276i −1.11523 0.106492i
\(327\) 3.13158 + 12.9086i 0.173177 + 0.713845i
\(328\) 7.39440 16.1915i 0.408287 0.894024i
\(329\) 7.03952 + 24.4023i 0.388101 + 1.34534i
\(330\) 1.68197 11.6984i 0.0925895 0.643974i
\(331\) 5.06221 + 4.82681i 0.278244 + 0.265306i 0.816331 0.577584i \(-0.196004\pi\)
−0.538087 + 0.842889i \(0.680853\pi\)
\(332\) −28.9916 + 5.58767i −1.59112 + 0.306663i
\(333\) −0.300052 6.29887i −0.0164428 0.345176i
\(334\) −24.9071 12.8405i −1.36285 0.702600i
\(335\) 2.28357 + 2.63538i 0.124765 + 0.143986i
\(336\) 28.9235 + 30.6238i 1.57790 + 1.67066i
\(337\) 0.136563 0.949819i 0.00743908 0.0517400i −0.985764 0.168136i \(-0.946225\pi\)
0.993203 + 0.116396i \(0.0371342\pi\)
\(338\) −31.4874 6.06871i −1.71269 0.330094i
\(339\) −1.87614 2.63467i −0.101898 0.143096i
\(340\) −21.5212 + 20.5204i −1.16715 + 1.11288i
\(341\) −16.0132 + 22.4874i −0.867164 + 1.21776i
\(342\) −0.331454 2.30532i −0.0179230 0.124657i
\(343\) −13.8226 12.3263i −0.746348 0.665555i
\(344\) −100.036 −5.39360
\(345\) −5.63806 2.53005i −0.303543 0.136214i
\(346\) 23.1948 40.1746i 1.24696 2.15980i
\(347\) 8.30221 4.28008i 0.445686 0.229767i −0.220749 0.975331i \(-0.570850\pi\)
0.666434 + 0.745564i \(0.267820\pi\)
\(348\) −24.4599 + 19.2355i −1.31119 + 1.03113i
\(349\) −10.2183 22.3750i −0.546974 1.19771i −0.958181 0.286164i \(-0.907620\pi\)
0.411206 0.911542i \(-0.365108\pi\)
\(350\) 4.48860 + 23.8990i 0.239926 + 1.27745i
\(351\) −0.482333 + 1.05616i −0.0257450 + 0.0563738i
\(352\) −79.0139 15.2287i −4.21145 0.811691i
\(353\) 2.67588 + 2.10434i 0.142423 + 0.112003i 0.686828 0.726820i \(-0.259002\pi\)
−0.544406 + 0.838822i \(0.683245\pi\)
\(354\) 8.97245 36.9849i 0.476880 1.96573i
\(355\) 1.53478 4.43447i 0.0814579 0.235357i
\(356\) 27.1496 17.4480i 1.43892 0.924741i
\(357\) −0.0519922 + 10.9537i −0.00275172 + 0.579733i
\(358\) −1.53253 1.76863i −0.0809966 0.0934751i
\(359\) −15.2318 14.5235i −0.803906 0.766522i 0.171911 0.985112i \(-0.445006\pi\)
−0.975817 + 0.218590i \(0.929854\pi\)
\(360\) 9.96251 + 7.83460i 0.525070 + 0.412920i
\(361\) 5.98005 + 17.2782i 0.314740 + 0.909380i
\(362\) −64.9993 + 6.20668i −3.41629 + 0.326216i
\(363\) 0.102860 + 0.0302025i 0.00539877 + 0.00158522i
\(364\) −6.28843 15.9264i −0.329603 0.834771i
\(365\) −0.570699 3.96930i −0.0298717 0.207762i
\(366\) 1.44923 30.4231i 0.0757524 1.59024i
\(367\) −10.0015 + 17.3230i −0.522072 + 0.904255i 0.477598 + 0.878578i \(0.341507\pi\)
−0.999670 + 0.0256768i \(0.991826\pi\)
\(368\) −34.5400 + 68.0963i −1.80052 + 3.54976i
\(369\) −0.904854 1.56725i −0.0471048 0.0815880i
\(370\) 18.8126 + 12.0901i 0.978019 + 0.628535i
\(371\) 0.121615 + 1.34084i 0.00631396 + 0.0696130i
\(372\) −19.1801 41.9987i −0.994444 2.17753i
\(373\) 2.25370 + 9.28987i 0.116692 + 0.481011i 0.999927 + 0.0120806i \(0.00384547\pi\)
−0.883235 + 0.468931i \(0.844639\pi\)
\(374\) −22.0269 30.9324i −1.13898 1.59948i
\(375\) 3.51470 + 10.1551i 0.181498 + 0.524405i
\(376\) 87.6540 35.0914i 4.52041 1.80970i
\(377\) 6.21935 1.82617i 0.320313 0.0940524i
\(378\) 7.21205 1.00202i 0.370948 0.0515384i
\(379\) −10.3513 + 6.65240i −0.531713 + 0.341711i −0.778790 0.627285i \(-0.784166\pi\)
0.247077 + 0.968996i \(0.420530\pi\)
\(380\) 5.40259 + 2.78523i 0.277147 + 0.142879i
\(381\) −12.0531 + 2.32305i −0.617500 + 0.119013i
\(382\) −9.28106 + 38.2570i −0.474860 + 1.95740i
\(383\) −21.4200 + 8.57527i −1.09451 + 0.438176i −0.847478 0.530831i \(-0.821880\pi\)
−0.247033 + 0.969007i \(0.579456\pi\)
\(384\) 30.7449 35.4815i 1.56894 1.81066i
\(385\) 11.3516 0.486753i 0.578531 0.0248072i
\(386\) −3.05523 0.897098i −0.155507 0.0456611i
\(387\) −5.89952 + 8.28471i −0.299889 + 0.421135i
\(388\) −26.6487 10.6685i −1.35288 0.541612i
\(389\) 15.5205 8.00135i 0.786918 0.405685i −0.0174259 0.999848i \(-0.505547\pi\)
0.804344 + 0.594164i \(0.202517\pi\)
\(390\) −2.05874 3.56584i −0.104248 0.180563i
\(391\) −18.7203 + 6.61760i −0.946727 + 0.334667i
\(392\) −40.4681 + 55.7027i −2.04395 + 2.81341i
\(393\) 7.14363 + 4.59093i 0.360348 + 0.231582i
\(394\) 21.3361 16.7789i 1.07490 0.845310i
\(395\) −18.2705 1.74462i −0.919289 0.0877815i
\(396\) −13.4445 + 12.8193i −0.675613 + 0.644196i
\(397\) −8.75965 + 0.836446i −0.439634 + 0.0419800i −0.312527 0.949909i \(-0.601175\pi\)
−0.127108 + 0.991889i \(0.540569\pi\)
\(398\) −22.8266 + 26.3433i −1.14420 + 1.32047i
\(399\) 2.11934 0.722265i 0.106100 0.0361585i
\(400\) 51.0167 14.9799i 2.55084 0.748993i
\(401\) −2.26840 + 6.55410i −0.113278 + 0.327296i −0.987362 0.158478i \(-0.949341\pi\)
0.874084 + 0.485774i \(0.161462\pi\)
\(402\) −0.354376 7.43928i −0.0176747 0.371037i
\(403\) 0.457628 + 9.60679i 0.0227961 + 0.478548i
\(404\) 12.2137 35.2892i 0.607654 1.75570i
\(405\) 1.23636 0.363029i 0.0614354 0.0180391i
\(406\) −30.5937 26.7649i −1.51834 1.32832i
\(407\) −13.7628 + 15.8831i −0.682196 + 0.787296i
\(408\) 40.5377 3.87088i 2.00691 0.191637i
\(409\) 24.1636 23.0399i 1.19481 1.13925i 0.207874 0.978156i \(-0.433345\pi\)
0.986939 0.161096i \(-0.0515030\pi\)
\(410\) 6.38858 + 0.610035i 0.315509 + 0.0301275i
\(411\) 12.6658 9.96048i 0.624757 0.491314i
\(412\) 29.5604 + 18.9973i 1.45633 + 0.935929i
\(413\) 36.5372 + 1.91434i 1.79788 + 0.0941984i
\(414\) 6.12508 + 11.6912i 0.301031 + 0.574592i
\(415\) −3.41273 5.91103i −0.167525 0.290161i
\(416\) −24.9177 + 12.8459i −1.22169 + 0.629824i
\(417\) 19.1742 + 7.67617i 0.938962 + 0.375904i
\(418\) −4.50243 + 6.32277i −0.220221 + 0.309257i
\(419\) 25.4890 + 7.48425i 1.24522 + 0.365630i 0.836974 0.547242i \(-0.184322\pi\)
0.408246 + 0.912872i \(0.366141\pi\)
\(420\) −8.78767 + 16.8489i −0.428794 + 0.822140i
\(421\) 0.152090 0.175521i 0.00741240 0.00855436i −0.752031 0.659127i \(-0.770926\pi\)
0.759444 + 0.650573i \(0.225471\pi\)
\(422\) −47.6548 + 19.0781i −2.31980 + 0.928707i
\(423\) 2.26312 9.32871i 0.110037 0.453577i
\(424\) 4.91473 0.947236i 0.238680 0.0460018i
\(425\) 12.2895 + 6.33570i 0.596130 + 0.307326i
\(426\) −8.43128 + 5.41845i −0.408497 + 0.262525i
\(427\) 29.0022 4.02948i 1.40351 0.195000i
\(428\) 35.5331 10.4335i 1.71756 0.504321i
\(429\) 3.59242 1.43819i 0.173444 0.0694364i
\(430\) −11.7964 34.0835i −0.568874 1.64365i
\(431\) −14.2493 20.0103i −0.686364 0.963864i −0.999898 0.0142867i \(-0.995452\pi\)
0.313534 0.949577i \(-0.398487\pi\)
\(432\) −3.75355 15.4724i −0.180593 0.744414i
\(433\) 5.20594 + 11.3994i 0.250181 + 0.547821i 0.992503 0.122223i \(-0.0390024\pi\)
−0.742321 + 0.670044i \(0.766275\pi\)
\(434\) 49.2956 34.7518i 2.36627 1.66814i
\(435\) −6.05160 3.88913i −0.290152 0.186469i
\(436\) 37.0195 + 64.1196i 1.77291 + 3.07077i
\(437\) 2.52982 + 3.17367i 0.121018 + 0.151817i
\(438\) −4.28236 + 7.41727i −0.204619 + 0.354411i
\(439\) −0.272263 + 5.71551i −0.0129944 + 0.272786i 0.983014 + 0.183529i \(0.0587522\pi\)
−0.996009 + 0.0892569i \(0.971551\pi\)
\(440\) −6.01131 41.8096i −0.286578 1.99319i
\(441\) 2.22658 + 6.63644i 0.106027 + 0.316021i
\(442\) −12.6936 3.72719i −0.603775 0.177284i
\(443\) −17.6399 + 1.68441i −0.838097 + 0.0800286i −0.505272 0.862960i \(-0.668608\pi\)
−0.332825 + 0.942989i \(0.608002\pi\)
\(444\) −11.4963 33.2163i −0.545589 1.57638i
\(445\) 5.86447 + 4.61187i 0.278002 + 0.218623i
\(446\) −29.2795 27.9179i −1.38642 1.32195i
\(447\) −5.89769 6.80630i −0.278951 0.321927i
\(448\) 79.0737 + 46.1550i 3.73588 + 2.18062i
\(449\) −21.3777 + 13.7386i −1.00888 + 0.648366i −0.937102 0.349055i \(-0.886503\pi\)
−0.0717750 + 0.997421i \(0.522866\pi\)
\(450\) 3.00605 8.68540i 0.141706 0.409434i
\(451\) −1.42193 + 5.86129i −0.0669562 + 0.275997i
\(452\) −14.1713 11.1445i −0.666563 0.524191i
\(453\) −15.5764 3.00211i −0.731844 0.141051i
\(454\) 15.7060 34.3914i 0.737121 1.61407i
\(455\) 3.00382 2.57797i 0.140821 0.120857i
\(456\) −3.45785 7.57163i −0.161929 0.354574i
\(457\) −17.4866 + 13.7516i −0.817987 + 0.643272i −0.936886 0.349634i \(-0.886306\pi\)
0.118900 + 0.992906i \(0.462063\pi\)
\(458\) 2.00919 1.03581i 0.0938833 0.0484002i
\(459\) 2.07008 3.58549i 0.0966233 0.167356i
\(460\) −34.1265 4.67736i −1.59116 0.218083i
\(461\) 37.8941 1.76490 0.882451 0.470404i \(-0.155892\pi\)
0.882451 + 0.470404i \(0.155892\pi\)
\(462\) −19.7001 14.1698i −0.916533 0.659239i
\(463\) 2.43441 + 16.9317i 0.113136 + 0.786882i 0.964836 + 0.262852i \(0.0846630\pi\)
−0.851700 + 0.524030i \(0.824428\pi\)
\(464\) −51.5566 + 72.4010i −2.39345 + 3.36113i
\(465\) 7.72484 7.36562i 0.358231 0.341572i
\(466\) −21.4899 30.1783i −0.995500 1.39798i
\(467\) 32.7894 + 6.31964i 1.51731 + 0.292438i 0.878807 0.477178i \(-0.158340\pi\)
0.638507 + 0.769616i \(0.279552\pi\)
\(468\) −0.921042 + 6.40599i −0.0425752 + 0.296117i
\(469\) 6.96606 1.65498i 0.321663 0.0764198i
\(470\) 22.2923 + 25.7267i 1.02827 + 1.18668i
\(471\) 9.94344 + 5.12620i 0.458169 + 0.236203i
\(472\) −6.47195 135.863i −0.297896 6.25360i
\(473\) 33.2834 6.41485i 1.53037 0.294955i
\(474\) 28.3699 + 27.0506i 1.30307 + 1.24248i
\(475\) 0.402215 2.79747i 0.0184549 0.128357i
\(476\) 16.9233 + 58.6642i 0.775679 + 2.68887i
\(477\) 0.211393 0.462885i 0.00967900 0.0211941i
\(478\) −3.52620 14.5352i −0.161285 0.664824i
\(479\) −29.3383 2.80146i −1.34050 0.128002i −0.599968 0.800024i \(-0.704820\pi\)
−0.740531 + 0.672022i \(0.765426\pi\)
\(480\) 28.8832 + 11.5631i 1.31833 + 0.527781i
\(481\) −0.348387 + 7.31354i −0.0158851 + 0.333469i
\(482\) −41.1455 −1.87413
\(483\) −9.95943 + 7.86192i −0.453170 + 0.357730i
\(484\) 0.597545 0.0271611
\(485\) 0.315746 6.62832i 0.0143373 0.300977i
\(486\) −2.55495 1.02285i −0.115895 0.0463972i
\(487\) 34.4373 + 3.28837i 1.56050 + 0.149010i 0.839283 0.543694i \(-0.182975\pi\)
0.721221 + 0.692705i \(0.243581\pi\)
\(488\) −25.6634 105.786i −1.16173 4.78870i
\(489\) −3.05327 + 6.68573i −0.138074 + 0.302339i
\(490\) −23.7506 7.21940i −1.07294 0.326139i
\(491\) −2.16960 + 15.0899i −0.0979127 + 0.680998i 0.880456 + 0.474128i \(0.157237\pi\)
−0.978369 + 0.206870i \(0.933672\pi\)
\(492\) −7.30049 6.96100i −0.329131 0.313826i
\(493\) −22.6953 + 4.37417i −1.02215 + 0.197003i
\(494\) 0.128671 + 2.70113i 0.00578918 + 0.121530i
\(495\) −3.81706 1.96783i −0.171564 0.0884473i
\(496\) −86.3633 99.6685i −3.87782 4.47525i
\(497\) −6.61577 7.00469i −0.296758 0.314203i
\(498\) −2.07462 + 14.4293i −0.0929661 + 0.646594i
\(499\) −10.9514 2.11072i −0.490254 0.0944886i −0.0618674 0.998084i \(-0.519706\pi\)
−0.428386 + 0.903596i \(0.640918\pi\)
\(500\) 34.7445 + 48.7918i 1.55382 + 2.18203i
\(501\) −7.36917 + 7.02649i −0.329230 + 0.313921i
\(502\) −38.1862 + 53.6250i −1.70433 + 2.39340i
\(503\) −1.68392 11.7119i −0.0750823 0.522209i −0.992303 0.123830i \(-0.960482\pi\)
0.917221 0.398378i \(-0.130427\pi\)
\(504\) 23.7226 10.6980i 1.05669 0.476525i
\(505\) 8.63276 0.384153
\(506\) 12.1143 42.2863i 0.538547 1.87986i
\(507\) −5.82594 + 10.0908i −0.258739 + 0.448149i
\(508\) −60.8142 + 31.3519i −2.69819 + 1.39102i
\(509\) −7.71560 + 6.06762i −0.341988 + 0.268942i −0.774350 0.632758i \(-0.781923\pi\)
0.432362 + 0.901700i \(0.357680\pi\)
\(510\) 6.09911 + 13.3552i 0.270073 + 0.591378i
\(511\) −7.76809 2.72992i −0.343640 0.120764i
\(512\) 29.5836 64.7790i 1.30742 2.86286i
\(513\) −0.830982 0.160159i −0.0366888 0.00707118i
\(514\) −3.88924 3.05853i −0.171547 0.134906i
\(515\) −1.91510 + 7.89415i −0.0843894 + 0.347858i
\(516\) −18.5416 + 53.5725i −0.816250 + 2.35840i
\(517\) −26.9134 + 17.2962i −1.18365 + 0.760686i
\(518\) 39.8731 22.7691i 1.75192 1.00042i
\(519\) −11.0385 12.7391i −0.484535 0.559183i
\(520\) −10.6503 10.1550i −0.467045 0.445327i
\(521\) 18.2481 + 14.3505i 0.799464 + 0.628706i 0.931994 0.362473i \(-0.118068\pi\)
−0.132530 + 0.991179i \(0.542310\pi\)
\(522\) 5.02503 + 14.5189i 0.219939 + 0.635473i
\(523\) 37.7051 3.60040i 1.64873 0.157435i 0.771081 0.636738i \(-0.219717\pi\)
0.877650 + 0.479303i \(0.159110\pi\)
\(524\) 45.4149 + 13.3350i 1.98396 + 0.582543i
\(525\) 8.73978 + 1.29896i 0.381435 + 0.0566913i
\(526\) 8.68765 + 60.4239i 0.378800 + 2.63461i
\(527\) 1.63179 34.2556i 0.0710821 1.49220i
\(528\) −26.5306 + 45.9523i −1.15460 + 1.99982i
\(529\) −19.5110 12.1787i −0.848305 0.529508i
\(530\) 0.902285 + 1.56280i 0.0391928 + 0.0678839i
\(531\) −11.6334 7.47636i −0.504848 0.324446i
\(532\) 10.2004 7.19095i 0.442244 0.311767i
\(533\) 0.872882 + 1.91135i 0.0378087 + 0.0827896i
\(534\) −3.75666 15.4852i −0.162566 0.670108i
\(535\) 4.96595 + 6.97371i 0.214697 + 0.301500i
\(536\) −8.70585 25.1539i −0.376035 1.08648i
\(537\) −0.789438 + 0.316043i −0.0340668 + 0.0136383i
\(538\) −77.2059 + 22.6697i −3.32858 + 0.977360i
\(539\) 9.89232 21.1281i 0.426093 0.910050i
\(540\) 6.04221 3.88309i 0.260015 0.167102i
\(541\) 33.8690 + 17.4607i 1.45614 + 0.750694i 0.990914 0.134496i \(-0.0429416\pi\)
0.465229 + 0.885190i \(0.345972\pi\)
\(542\) 44.3740 8.55239i 1.90603 0.367356i
\(543\) −5.59353 + 23.0568i −0.240041 + 0.989464i
\(544\) 92.8024 37.1525i 3.97887 1.59290i
\(545\) −11.2086 + 12.9354i −0.480122 + 0.554090i
\(546\) −8.44650 + 0.362183i −0.361477 + 0.0155000i
\(547\) −19.4652 5.71550i −0.832273 0.244377i −0.162280 0.986745i \(-0.551885\pi\)
−0.669993 + 0.742367i \(0.733703\pi\)
\(548\) 52.0973 73.1604i 2.22549 3.12526i
\(549\) −10.2743 4.11322i −0.438498 0.175548i
\(550\) −27.2258 + 14.0359i −1.16091 + 0.598493i
\(551\) 2.36222 + 4.09149i 0.100634 + 0.174303i
\(552\) 32.7760 + 33.9241i 1.39504 + 1.44391i
\(553\) −20.5242 + 31.6054i −0.872776 + 1.34400i
\(554\) 45.2224 + 29.0627i 1.92132 + 1.23476i
\(555\) 6.38722 5.02296i 0.271122 0.213213i
\(556\) 114.601 + 10.9431i 4.86018 + 0.464091i
\(557\) 16.5933 15.8217i 0.703083 0.670388i −0.251662 0.967815i \(-0.580977\pi\)
0.954744 + 0.297427i \(0.0961286\pi\)
\(558\) −22.6932 + 2.16694i −0.960681 + 0.0917339i
\(559\) 7.73321 8.92459i 0.327080 0.377470i
\(560\) −10.5251 + 53.2483i −0.444769 + 2.25015i
\(561\) −13.2392 + 3.88738i −0.558960 + 0.164125i
\(562\) 10.2030 29.4797i 0.430389 1.24353i
\(563\) −0.827308 17.3673i −0.0348669 0.731946i −0.946842 0.321700i \(-0.895746\pi\)
0.911975 0.410246i \(-0.134557\pi\)
\(564\) −2.54593 53.4455i −0.107203 2.25046i
\(565\) 1.36313 3.93851i 0.0573473 0.165694i
\(566\) 9.58828 2.81537i 0.403026 0.118339i
\(567\) 0.513037 2.59553i 0.0215455 0.109002i
\(568\) −23.4566 + 27.0704i −0.984218 + 1.13585i
\(569\) −24.9901 + 2.38627i −1.04764 + 0.100038i −0.604652 0.796490i \(-0.706688\pi\)
−0.442989 + 0.896527i \(0.646082\pi\)
\(570\) 2.17199 2.07099i 0.0909745 0.0867440i
\(571\) −36.5075 3.48605i −1.52779 0.145887i −0.702946 0.711243i \(-0.748133\pi\)
−0.824847 + 0.565356i \(0.808739\pi\)
\(572\) 16.9544 13.3331i 0.708901 0.557486i
\(573\) 12.0336 + 7.73351i 0.502710 + 0.323072i
\(574\) 7.17660 11.0513i 0.299546 0.461274i
\(575\) 3.13465 + 15.7065i 0.130724 + 0.655005i
\(576\) −17.3029 29.9695i −0.720954 1.24873i
\(577\) −11.6812 + 6.02210i −0.486296 + 0.250703i −0.683896 0.729580i \(-0.739716\pi\)
0.197599 + 0.980283i \(0.436685\pi\)
\(578\) 0.360248 + 0.144221i 0.0149843 + 0.00599882i
\(579\) −0.671138 + 0.942481i −0.0278915 + 0.0391682i
\(580\) −38.4724 11.2965i −1.59748 0.469062i
\(581\) −14.0016 + 0.600384i −0.580884 + 0.0249081i
\(582\) −9.28115 + 10.7110i −0.384716 + 0.443986i
\(583\) −1.57445 + 0.630316i −0.0652072 + 0.0261050i
\(584\) −7.21659 + 29.7472i −0.298625 + 1.23095i
\(585\) −1.46909 + 0.283145i −0.0607396 + 0.0117066i
\(586\) 12.9898 + 6.69670i 0.536603 + 0.276638i
\(587\) 24.6103 15.8161i 1.01578 0.652800i 0.0768947 0.997039i \(-0.475499\pi\)
0.938882 + 0.344239i \(0.111863\pi\)
\(588\) 22.3298 + 31.9963i 0.920865 + 1.31951i
\(589\) −6.72604 + 1.97494i −0.277141 + 0.0813761i
\(590\) 45.5269 18.2262i 1.87431 0.750361i
\(591\) −3.22582 9.32039i −0.132692 0.383390i
\(592\) −58.2372 81.7826i −2.39353 3.36125i
\(593\) −6.63107 27.3336i −0.272305 1.12246i −0.929525 0.368759i \(-0.879783\pi\)
0.657220 0.753699i \(-0.271732\pi\)
\(594\) 3.81019 + 8.34314i 0.156334 + 0.342323i
\(595\) −11.5362 + 8.13267i −0.472939 + 0.333407i
\(596\) −42.2303 27.1398i −1.72982 1.11169i
\(597\) 6.33288 + 10.9689i 0.259188 + 0.448926i
\(598\) −5.78921 14.1891i −0.236738 0.580234i
\(599\) −7.25343 + 12.5633i −0.296367 + 0.513323i −0.975302 0.220876i \(-0.929108\pi\)
0.678935 + 0.734198i \(0.262442\pi\)
\(600\) 1.56297 32.8107i 0.0638079 1.33949i
\(601\) 2.68345 + 18.6638i 0.109460 + 0.761312i 0.968430 + 0.249286i \(0.0801958\pi\)
−0.858970 + 0.512026i \(0.828895\pi\)
\(602\) −73.2507 10.8870i −2.98548 0.443720i
\(603\) −2.59659 0.762427i −0.105741 0.0310484i
\(604\) −88.0199 + 8.40488i −3.58148 + 0.341990i
\(605\) 0.0451803 + 0.130540i 0.00183684 + 0.00530720i
\(606\) −14.4930 11.3974i −0.588738 0.462989i
\(607\) −8.77450 8.36647i −0.356146 0.339585i 0.490791 0.871277i \(-0.336708\pi\)
−0.846937 + 0.531693i \(0.821556\pi\)
\(608\) −13.3808 15.4423i −0.542663 0.626266i
\(609\) −12.8263 + 7.32433i −0.519749 + 0.296797i
\(610\) 33.0162 21.2182i 1.33679 0.859100i
\(611\) −3.64538 + 10.5326i −0.147476 + 0.426104i
\(612\) 5.44065 22.4266i 0.219925 0.906544i
\(613\) −30.3170 23.8415i −1.22449 0.962950i −0.224557 0.974461i \(-0.572093\pi\)
−0.999934 + 0.0115111i \(0.996336\pi\)
\(614\) −15.6035 3.00733i −0.629706 0.121366i
\(615\) 0.968714 2.12119i 0.0390623 0.0855345i
\(616\) −81.8232 28.7549i −3.29675 1.15857i
\(617\) 4.12397 + 9.03023i 0.166025 + 0.363543i 0.974298 0.225265i \(-0.0723247\pi\)
−0.808273 + 0.588808i \(0.799597\pi\)
\(618\) 13.6374 10.7246i 0.548577 0.431406i
\(619\) 15.0011 7.73363i 0.602947 0.310841i −0.129590 0.991568i \(-0.541366\pi\)
0.732537 + 0.680727i \(0.238336\pi\)
\(620\) 29.7471 51.5235i 1.19467 2.06923i
\(621\) 4.74242 0.713781i 0.190307 0.0286430i
\(622\) 76.7778 3.07851
\(623\) 13.9644 6.29739i 0.559472 0.252300i
\(624\) 2.63081 + 18.2977i 0.105317 + 0.732494i
\(625\) 1.65378 2.32242i 0.0661514 0.0928966i
\(626\) −28.0612 + 26.7563i −1.12155 + 1.06940i
\(627\) 1.63601 + 2.29745i 0.0653358 + 0.0917513i
\(628\) 61.2293 + 11.8010i 2.44332 + 0.470910i
\(629\) 3.71555 25.8422i 0.148149 1.03040i
\(630\) 6.44232 + 6.82104i 0.256668 + 0.271757i
\(631\) 2.29109 + 2.64406i 0.0912070 + 0.105259i 0.799518 0.600642i \(-0.205088\pi\)
−0.708311 + 0.705900i \(0.750543\pi\)
\(632\) 124.523 + 64.1962i 4.95327 + 2.55359i
\(633\) 0.887496 + 18.6308i 0.0352748 + 0.740509i
\(634\) 63.3572 12.2111i 2.51624 0.484965i
\(635\) −11.4473 10.9150i −0.454272 0.433148i
\(636\) 0.403666 2.80756i 0.0160064 0.111327i
\(637\) −1.84109 7.91634i −0.0729467 0.313657i
\(638\) 21.2709 46.5767i 0.842121 1.84399i
\(639\) 0.858565 + 3.53905i 0.0339643 + 0.140003i
\(640\) 60.2224 + 5.75054i 2.38050 + 0.227310i
\(641\) −28.4978 11.4088i −1.12560 0.450621i −0.267217 0.963636i \(-0.586104\pi\)
−0.858379 + 0.513016i \(0.828528\pi\)
\(642\) 0.870023 18.2640i 0.0343371 0.720824i
\(643\) −45.8910 −1.80977 −0.904883 0.425661i \(-0.860042\pi\)
−0.904883 + 0.425661i \(0.860042\pi\)
\(644\) −40.9187 + 57.6869i −1.61242 + 2.27318i
\(645\) −13.1054 −0.516025
\(646\) 0.458811 9.63162i 0.0180517 0.378951i
\(647\) 36.1601 + 14.4763i 1.42160 + 0.569123i 0.949877 0.312623i \(-0.101208\pi\)
0.471724 + 0.881746i \(0.343632\pi\)
\(648\) −9.79131 0.934957i −0.384639 0.0367286i
\(649\) 10.8656 + 44.7884i 0.426510 + 1.75810i
\(650\) −4.43307 + 9.70707i −0.173879 + 0.380743i
\(651\) −6.07448 21.0570i −0.238077 0.825288i
\(652\) −5.83039 + 40.5512i −0.228336 + 1.58811i
\(653\) −5.00188 4.76929i −0.195739 0.186637i 0.585871 0.810404i \(-0.300753\pi\)
−0.781610 + 0.623768i \(0.785601\pi\)
\(654\) 35.8953 6.91825i 1.40362 0.270525i
\(655\) 0.520641 + 10.9296i 0.0203431 + 0.427055i
\(656\) −25.6097 13.2027i −0.999891 0.515480i
\(657\) 2.03798 + 2.35196i 0.0795093 + 0.0917587i
\(658\) 68.0028 16.1559i 2.65103 0.629824i
\(659\) 1.87122 13.0146i 0.0728924 0.506978i −0.920366 0.391058i \(-0.872109\pi\)
0.993259 0.115920i \(-0.0369816\pi\)
\(660\) −23.5045 4.53012i −0.914912 0.176335i
\(661\) −18.9966 26.6770i −0.738882 1.03761i −0.997432 0.0716165i \(-0.977184\pi\)
0.258550 0.965998i \(-0.416755\pi\)
\(662\) 13.9316 13.2838i 0.541468 0.516289i
\(663\) −2.78839 + 3.91575i −0.108292 + 0.152075i
\(664\) 7.41464 + 51.5699i 0.287744 + 2.00130i
\(665\) 2.34219 + 1.68468i 0.0908262 + 0.0653290i
\(666\) −17.3547 −0.672480
\(667\) −20.3490 17.3991i −0.787917 0.673696i
\(668\) −28.3775 + 49.1513i −1.09796 + 1.90172i
\(669\) −13.0661 + 6.73602i −0.505163 + 0.260429i
\(670\) 7.54361 5.93236i 0.291435 0.229187i
\(671\) 15.3221 + 33.5507i 0.591503 + 1.29521i
\(672\) 48.4759 41.6034i 1.87000 1.60488i
\(673\) 5.62334 12.3134i 0.216764 0.474647i −0.769746 0.638351i \(-0.779617\pi\)
0.986510 + 0.163704i \(0.0523442\pi\)
\(674\) −2.59314 0.499786i −0.0998840 0.0192511i
\(675\) −2.62511 2.06441i −0.101041 0.0794592i
\(676\) −15.3119 + 63.1164i −0.588918 + 2.42755i
\(677\) 4.55564 13.1626i 0.175087 0.505882i −0.822977 0.568075i \(-0.807688\pi\)
0.998064 + 0.0621934i \(0.0198096\pi\)
\(678\) −7.48830 + 4.81244i −0.287586 + 0.184820i
\(679\) −11.7672 6.86849i −0.451585 0.263588i
\(680\) 34.3624 + 39.6563i 1.31774 + 1.52075i
\(681\) −9.94264 9.48029i −0.381003 0.363286i
\(682\) 59.7202 + 46.9645i 2.28681 + 1.79836i
\(683\) −7.50151 21.6742i −0.287037 0.829339i −0.992680 0.120772i \(-0.961463\pi\)
0.705643 0.708567i \(-0.250658\pi\)
\(684\) −4.69575 + 0.448390i −0.179547 + 0.0171446i
\(685\) 19.9217 + 5.84954i 0.761170 + 0.223500i
\(686\) −35.6945 + 36.3837i −1.36282 + 1.38913i
\(687\) −0.116893 0.813008i −0.00445974 0.0310182i
\(688\) −7.70482 + 161.744i −0.293743 + 6.16643i
\(689\) −0.295422 + 0.511685i −0.0112547 + 0.0194937i
\(690\) −7.69334 + 15.1675i −0.292880 + 0.577418i
\(691\) 7.96497 + 13.7957i 0.303002 + 0.524814i 0.976814 0.214088i \(-0.0686779\pi\)
−0.673813 + 0.738902i \(0.735345\pi\)
\(692\) −79.0407 50.7964i −3.00468 1.93099i
\(693\) −7.20682 + 5.08057i −0.273764 + 0.192995i
\(694\) −10.6786 23.3830i −0.405356 0.887605i
\(695\) 6.27435 + 25.8632i 0.238000 + 0.981049i
\(696\) 31.8509 + 44.7283i 1.20730 + 1.69542i
\(697\) −2.45056 7.08042i −0.0928214 0.268190i
\(698\) −62.8462 + 25.1598i −2.37876 + 0.952314i
\(699\) −12.9165 + 3.79262i −0.488546 + 0.143450i
\(700\) 48.7818 6.77759i 1.84378 0.256169i
\(701\) −6.58261 + 4.23039i −0.248622 + 0.159780i −0.659017 0.752128i \(-0.729027\pi\)
0.410395 + 0.911908i \(0.365391\pi\)
\(702\) 2.84019 + 1.46422i 0.107196 + 0.0552635i
\(703\) −5.24019 + 1.00996i −0.197637 + 0.0380915i
\(704\) −27.1906 + 112.081i −1.02479 + 4.22422i
\(705\) 11.4832 4.59719i 0.432484 0.173140i
\(706\) 6.13516 7.08035i 0.230900 0.266472i
\(707\) 8.19690 15.7162i 0.308276 0.591067i
\(708\) −73.9584 21.7161i −2.77953 0.816142i
\(709\) 18.9185 26.5674i 0.710500 0.997758i −0.288686 0.957424i \(-0.593218\pi\)
0.999186 0.0403343i \(-0.0128423\pi\)
\(710\) −11.9892 4.79976i −0.449948 0.180132i
\(711\) 12.6601 6.52675i 0.474792 0.244772i
\(712\) −28.4744 49.3190i −1.06712 1.84831i
\(713\) 32.2069 23.2558i 1.20616 0.870935i
\(714\) 30.1046 + 1.57731i 1.12664 + 0.0590293i
\(715\) 4.19468 + 2.69576i 0.156872 + 0.100816i
\(716\) −3.72575 + 2.92996i −0.139238 + 0.109498i
\(717\) −5.41011 0.516603i −0.202044 0.0192929i
\(718\) −41.9193 + 39.9700i −1.56441 + 1.49167i
\(719\) 38.7779 3.70284i 1.44617 0.138093i 0.657753 0.753234i \(-0.271507\pi\)
0.788417 + 0.615141i \(0.210901\pi\)
\(720\) 13.4347 15.5045i 0.500682 0.577818i
\(721\) 12.5531 + 10.9821i 0.467501 + 0.408993i
\(722\) 48.2803 14.1764i 1.79681 0.527590i
\(723\) −4.88989 + 14.1284i −0.181857 + 0.525441i
\(724\) 6.29251 + 132.096i 0.233859 + 4.90931i
\(725\) 0.887108 + 18.6227i 0.0329464 + 0.691630i
\(726\) 0.0964953 0.278805i 0.00358128 0.0103474i
\(727\) −20.5300 + 6.02814i −0.761415 + 0.223572i −0.639314 0.768946i \(-0.720781\pi\)
−0.122101 + 0.992518i \(0.538963\pi\)
\(728\) −28.6000 + 9.74679i −1.05999 + 0.361240i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) −10.9862 + 1.04905i −0.406617 + 0.0388272i
\(731\) −30.4749 + 29.0578i −1.12716 + 1.07474i
\(732\) −61.4083 5.86378i −2.26971 0.216731i
\(733\) −0.200198 + 0.157437i −0.00739447 + 0.00581508i −0.621849 0.783137i \(-0.713618\pi\)
0.614455 + 0.788952i \(0.289376\pi\)
\(734\) 46.3108 + 29.7621i 1.70936 + 1.09854i
\(735\) −5.30158 + 7.29741i −0.195552 + 0.269169i
\(736\) 100.660 + 57.2349i 3.71036 + 2.10970i
\(737\) 4.50955 + 7.81078i 0.166112 + 0.287714i
\(738\) −4.42682 + 2.28218i −0.162953 + 0.0840083i
\(739\) 3.94213 + 1.57819i 0.145013 + 0.0580546i 0.443034 0.896505i \(-0.353902\pi\)
−0.298020 + 0.954559i \(0.596326\pi\)
\(740\) 26.2721 36.8940i 0.965781 1.35625i
\(741\) 0.942798 + 0.276830i 0.0346345 + 0.0101696i
\(742\) 3.70185 0.158734i 0.135899 0.00582732i
\(743\) 26.9581 31.1113i 0.988997 1.14136i −0.000960263 1.00000i \(-0.500306\pi\)
0.989958 0.141364i \(-0.0451489\pi\)
\(744\) −75.6376 + 30.2807i −2.77301 + 1.11014i
\(745\) 2.73594 11.2777i 0.100237 0.413182i
\(746\) 25.8327 4.97884i 0.945801 0.182288i
\(747\) 4.70814 + 2.42721i 0.172262 + 0.0888071i
\(748\) −64.7011 + 41.5809i −2.36571 + 1.52035i
\(749\) 17.4110 2.41904i 0.636185 0.0883897i
\(750\) 28.3762 8.33200i 1.03615 0.304242i
\(751\) 4.68873 1.87708i 0.171094 0.0684957i −0.284534 0.958666i \(-0.591839\pi\)
0.455628 + 0.890170i \(0.349415\pi\)
\(752\) −49.9864 144.426i −1.82282 5.26668i
\(753\) 13.8754 + 19.4852i 0.505647 + 0.710081i
\(754\) −4.20565 17.3359i −0.153161 0.631337i
\(755\) −8.49130 18.5934i −0.309030 0.676682i
\(756\) −1.33213 14.6870i −0.0484489 0.534162i
\(757\) 1.81118 + 1.16398i 0.0658285 + 0.0423054i 0.573141 0.819457i \(-0.305725\pi\)
−0.507313 + 0.861762i \(0.669361\pi\)
\(758\) 16.9317 + 29.3266i 0.614988 + 1.06519i
\(759\) −13.0804 9.18523i −0.474789 0.333403i
\(760\) 5.36289 9.28879i 0.194532 0.336940i
\(761\) −0.632494 + 13.2777i −0.0229279 + 0.481316i 0.957979 + 0.286838i \(0.0926042\pi\)
−0.980907 + 0.194478i \(0.937699\pi\)
\(762\) 4.80763 + 33.4378i 0.174162 + 1.21132i
\(763\) 12.9065 + 32.6877i 0.467247 + 1.18338i
\(764\) 76.5022 + 22.4631i 2.76775 + 0.812685i
\(765\) 5.31070 0.507110i 0.192009 0.0183346i
\(766\) 20.7682 + 60.0058i 0.750385 + 2.16810i
\(767\) 12.6211 + 9.92536i 0.455722 + 0.358384i
\(768\) −43.4206 41.4015i −1.56681 1.49395i
\(769\) −10.1032 11.6597i −0.364330 0.420459i 0.543756 0.839244i \(-0.317002\pi\)
−0.908086 + 0.418784i \(0.862456\pi\)
\(770\) 0.148419 31.2689i 0.00534864 1.12685i
\(771\) −1.51244 + 0.971985i −0.0544691 + 0.0350052i
\(772\) −2.10932 + 6.09449i −0.0759163 + 0.219346i
\(773\) −4.35225 + 17.9402i −0.156539 + 0.645264i 0.838423 + 0.545019i \(0.183478\pi\)
−0.994963 + 0.100245i \(0.968037\pi\)
\(774\) 22.0019 + 17.3024i 0.790840 + 0.621924i
\(775\) −27.1632 5.23528i −0.975732 0.188057i
\(776\) −21.0419 + 46.0754i −0.755361 + 1.65401i
\(777\) −3.07970 16.3974i −0.110484 0.588255i
\(778\) −19.9631 43.7130i −0.715710 1.56719i
\(779\) −1.20385 + 0.946718i −0.0431324 + 0.0339197i
\(780\) −7.41234 + 3.82133i −0.265404 + 0.136825i
\(781\) 6.06844 10.5108i 0.217146 0.376108i
\(782\) 15.7402 + 52.3281i 0.562867 + 1.87125i
\(783\) 5.58263 0.199507
\(784\) 86.9462 + 69.7211i 3.10522 + 2.49004i
\(785\) 2.05149 + 14.2684i 0.0732209 + 0.509263i
\(786\) 13.5558 19.0364i 0.483518 0.679007i
\(787\) −24.7790 + 23.6267i −0.883275 + 0.842201i −0.988340 0.152264i \(-0.951344\pi\)
0.105065 + 0.994465i \(0.466495\pi\)
\(788\) −31.8887 44.7814i −1.13599 1.59527i
\(789\) 21.7806 + 4.19787i 0.775411 + 0.149448i
\(790\) −7.18842 + 49.9966i −0.255752 + 1.77880i
\(791\) −5.87584 6.22127i −0.208921 0.221203i
\(792\) 21.4666 + 24.7738i 0.762782 + 0.880298i
\(793\) 11.4214 + 5.88815i 0.405586 + 0.209094i
\(794\) 1.15229 + 24.1895i 0.0408932 + 0.858454i
\(795\) 0.643861 0.124094i 0.0228354 0.00440116i
\(796\) 51.0945 + 48.7186i 1.81100 + 1.72678i
\(797\) 2.29590 15.9683i 0.0813248 0.565626i −0.907896 0.419195i \(-0.862312\pi\)
0.989221 0.146431i \(-0.0467786\pi\)
\(798\) −1.70796 5.92058i −0.0604610 0.209586i
\(799\) 16.5097 36.1512i 0.584072 1.27894i
\(800\) −19.0101 78.3608i −0.672110 2.77047i
\(801\) −5.76369 0.550366i −0.203650 0.0194462i
\(802\) 17.7199 + 7.09400i 0.625713 + 0.250498i
\(803\) 0.493510 10.3601i 0.0174156 0.365598i
\(804\) −15.0843 −0.531983
\(805\) −15.6962 4.57742i −0.553217 0.161333i
\(806\) 26.4687 0.932319
\(807\) −1.39120 + 29.2048i −0.0489725 + 1.02806i
\(808\) −61.1754 24.4910i −2.15214 0.861589i
\(809\) 32.5068 + 3.10402i 1.14288 + 0.109132i 0.649274 0.760555i \(-0.275073\pi\)
0.493604 + 0.869687i \(0.335679\pi\)
\(810\) −0.836054 3.44626i −0.0293760 0.121089i
\(811\) 0.0382270 0.0837056i 0.00134233 0.00293930i −0.908960 0.416884i \(-0.863122\pi\)
0.910302 + 0.413945i \(0.135849\pi\)
\(812\) −57.0956 + 59.3138i −2.00366 + 2.08151i
\(813\) 2.33688 16.2534i 0.0819581 0.570031i
\(814\) 41.8599 + 39.9133i 1.46719 + 1.39896i
\(815\) −9.29968 + 1.79237i −0.325753 + 0.0627838i
\(816\) −3.13642 65.8416i −0.109797 2.30492i
\(817\) 7.65031 + 3.94401i 0.267650 + 0.137983i
\(818\) −60.1718 69.4420i −2.10386 2.42798i
\(819\) −0.879448 + 2.94337i −0.0307304 + 0.102850i
\(820\) 1.84981 12.8657i 0.0645983 0.449291i
\(821\) −37.4582 7.21948i −1.30730 0.251962i −0.512424 0.858732i \(-0.671252\pi\)
−0.794877 + 0.606771i \(0.792465\pi\)
\(822\) −25.7225 36.1221i −0.897174 1.25990i
\(823\) 33.0285 31.4926i 1.15130 1.09776i 0.157394 0.987536i \(-0.449691\pi\)
0.993906 0.110227i \(-0.0351578\pi\)
\(824\) 35.9667 50.5082i 1.25296 1.75954i
\(825\) 1.58398 + 11.0168i 0.0551470 + 0.383556i
\(826\) 10.0470 100.189i 0.349579 3.48601i
\(827\) −10.2095 −0.355020 −0.177510 0.984119i \(-0.556804\pi\)
−0.177510 + 0.984119i \(0.556804\pi\)
\(828\) 24.2424 11.2648i 0.842482 0.391478i
\(829\) 10.0511 17.4091i 0.349090 0.604642i −0.636998 0.770866i \(-0.719824\pi\)
0.986088 + 0.166223i \(0.0531573\pi\)
\(830\) −16.6961 + 8.60745i −0.579531 + 0.298769i
\(831\) 15.3539 12.0744i 0.532619 0.418856i
\(832\) 16.6915 + 36.5493i 0.578674 + 1.26712i
\(833\) 3.85195 + 28.7241i 0.133462 + 0.995230i
\(834\) 23.6124 51.7039i 0.817630 1.79036i
\(835\) −12.8832 2.48304i −0.445842 0.0859291i
\(836\) 12.3575 + 9.71804i 0.427393 + 0.336105i
\(837\) −1.95287 + 8.04985i −0.0675011 + 0.278243i
\(838\) 23.9117 69.0884i 0.826017 2.38662i
\(839\) 19.8968 12.7869i 0.686915 0.441453i −0.150073 0.988675i \(-0.547951\pi\)
0.836988 + 0.547222i \(0.184315\pi\)
\(840\) 28.9601 + 16.9039i 0.999217 + 0.583240i
\(841\) −1.41825 1.63675i −0.0489053 0.0564397i
\(842\) −0.462585 0.441074i −0.0159417 0.0152004i
\(843\) −8.91008 7.00696i −0.306879 0.241333i
\(844\) 34.0037 + 98.2474i 1.17046 + 3.38181i
\(845\) −14.9462 + 1.42719i −0.514164 + 0.0490967i
\(846\) −25.3480 7.44283i −0.871481 0.255890i
\(847\) 0.280550 + 0.0416972i 0.00963983 + 0.00143273i
\(848\) −1.15301 8.01935i −0.0395945 0.275385i
\(849\) 0.172774 3.62698i 0.00592960 0.124478i
\(850\) 19.0259 32.9539i 0.652584 1.13031i
\(851\) 26.0906 15.2935i 0.894376 0.524256i
\(852\) 10.1494 + 17.5792i 0.347712 + 0.602254i
\(853\) −27.0757 17.4005i −0.927054 0.595781i −0.0123575 0.999924i \(-0.503934\pi\)
−0.914696 + 0.404142i \(0.867570\pi\)
\(854\) −7.27907 80.2537i −0.249085 2.74623i
\(855\) −0.453001 0.991933i −0.0154923 0.0339234i
\(856\) −15.4066 63.5070i −0.526588 2.17062i
\(857\) 1.30129 + 1.82741i 0.0444513 + 0.0624232i 0.836203 0.548419i \(-0.184770\pi\)
−0.791752 + 0.610843i \(0.790831\pi\)
\(858\) −3.48311 10.0638i −0.118911 0.343572i
\(859\) −20.8656 + 8.35334i −0.711927 + 0.285012i −0.699220 0.714907i \(-0.746469\pi\)
−0.0127069 + 0.999919i \(0.504045\pi\)
\(860\) −70.0901 + 20.5803i −2.39005 + 0.701782i
\(861\) −2.94187 3.77766i −0.100259 0.128742i
\(862\) −56.8737 + 36.5505i −1.93712 + 1.24491i
\(863\) −23.7835 12.2612i −0.809598 0.417377i 0.00314771 0.999995i \(-0.498998\pi\)
−0.812746 + 0.582618i \(0.802028\pi\)
\(864\) −23.7083 + 4.56941i −0.806574 + 0.155454i
\(865\) 5.12074 21.1080i 0.174110 0.717693i
\(866\) 32.0183 12.8182i 1.08803 0.435580i
\(867\) 0.0923354 0.106561i 0.00313587 0.00361899i
\(868\) −65.5546 103.077i −2.22507 3.49868i
\(869\) −45.5471 13.3738i −1.54508 0.453677i
\(870\) −11.4835 + 16.1264i −0.389328 + 0.546735i
\(871\) 2.91707 + 1.16782i 0.0988410 + 0.0395700i
\(872\) 116.126 59.8671i 3.93252 2.02736i
\(873\) 2.57490 + 4.45987i 0.0871473 + 0.150944i
\(874\) 9.05560 6.53881i 0.306310 0.221179i
\(875\) 12.9080 + 25.3325i 0.436369 + 0.856394i
\(876\) 14.5929 + 9.37832i 0.493050 + 0.316864i
\(877\) 5.13064 4.03478i 0.173249 0.136245i −0.527769 0.849388i \(-0.676971\pi\)
0.701019 + 0.713143i \(0.252729\pi\)
\(878\) 15.6761 + 1.49688i 0.529042 + 0.0505174i
\(879\) 3.84324 3.66453i 0.129629 0.123601i
\(880\) −68.0629 + 6.49922i −2.29440 + 0.219089i
\(881\) 16.9946 19.6128i 0.572563 0.660773i −0.393426 0.919356i \(-0.628710\pi\)
0.965989 + 0.258583i \(0.0832556\pi\)
\(882\) 18.5349 5.25175i 0.624103 0.176836i
\(883\) 33.1895 9.74532i 1.11692 0.327956i 0.329363 0.944203i \(-0.393166\pi\)
0.787553 + 0.616247i \(0.211348\pi\)
\(884\) −8.76365 + 25.3209i −0.294754 + 0.851634i
\(885\) −0.847867 17.7989i −0.0285008 0.598304i
\(886\) 2.32044 + 48.7121i 0.0779568 + 1.63651i
\(887\) 4.14315 11.9708i 0.139113 0.401942i −0.853827 0.520557i \(-0.825724\pi\)
0.992940 + 0.118615i \(0.0378455\pi\)
\(888\) −59.5126 + 17.4745i −1.99711 + 0.586405i
\(889\) −30.7403 + 10.4762i −1.03100 + 0.351361i
\(890\) 13.4458 15.5173i 0.450705 0.520141i
\(891\) 3.31766 0.316798i 0.111146 0.0106131i
\(892\) −59.3016 + 56.5439i −1.98556 + 1.89323i
\(893\) −8.08687 0.772202i −0.270617 0.0258408i
\(894\) −19.4826 + 15.3213i −0.651595 + 0.512420i
\(895\) −0.921785 0.592395i −0.0308119 0.0198016i
\(896\) 67.6508 104.176i 2.26005 3.48028i
\(897\) −5.56021 + 0.301596i −0.185650 + 0.0100700i
\(898\) 34.9676 + 60.5657i 1.16689 + 2.02110i
\(899\) 41.1022 21.1897i 1.37084 0.706715i
\(900\) −17.2815 6.91845i −0.576049 0.230615i
\(901\) 1.22207 1.71616i 0.0407131 0.0571735i
\(902\) 15.9263 + 4.67638i 0.530287 + 0.155706i
\(903\) −12.4437 + 23.8587i −0.414101 + 0.793969i
\(904\) −20.8332 + 24.0428i −0.692901 + 0.799650i
\(905\) −28.3820 + 11.3624i −0.943449 + 0.377700i
\(906\) −10.2924 + 42.4259i −0.341943 + 1.40951i
\(907\) 15.8961 3.06373i 0.527822 0.101729i 0.0816234 0.996663i \(-0.473990\pi\)
0.446199 + 0.894934i \(0.352777\pi\)
\(908\) −68.0626 35.0887i −2.25874 1.16446i
\(909\) −5.63601 + 3.62204i −0.186935 + 0.120136i
\(910\) −6.69339 8.59499i −0.221884 0.284921i
\(911\) 29.1355 8.55496i 0.965303 0.283439i 0.239159 0.970981i \(-0.423128\pi\)
0.726145 + 0.687542i \(0.241310\pi\)
\(912\) −12.5085 + 5.00766i −0.414199 + 0.165820i
\(913\) −5.77388 16.6825i −0.191088 0.552112i
\(914\) 35.5128 + 49.8707i 1.17466 + 1.64958i
\(915\) −3.36207 13.8586i −0.111147 0.458152i
\(916\) −1.90189 4.16455i −0.0628401 0.137601i
\(917\) 20.3920 + 9.42994i 0.673403 + 0.311404i
\(918\) −9.58532 6.16011i −0.316363 0.203314i
\(919\) 20.8458 + 36.1060i 0.687639 + 1.19103i 0.972600 + 0.232486i \(0.0746861\pi\)
−0.284961 + 0.958539i \(0.591981\pi\)
\(920\) −11.1097 + 59.7589i −0.366276 + 1.97019i
\(921\) −2.88702 + 5.00047i −0.0951306 + 0.164771i
\(922\) 4.96220 104.170i 0.163422 3.43064i
\(923\) −0.601755 4.18530i −0.0198070 0.137761i
\(924\) −30.5650 + 38.4892i −1.00551 + 1.26620i
\(925\) −20.2066 5.93319i −0.664388 0.195082i
\(926\) 46.8634 4.47491i 1.54003 0.147055i
\(927\) −2.06185 5.95732i −0.0677199 0.195664i
\(928\) 105.953 + 83.3220i 3.47806 + 2.73518i
\(929\) −33.1484 31.6069i −1.08756 1.03699i −0.999163 0.0409038i \(-0.986976\pi\)
−0.0883996 0.996085i \(-0.528175\pi\)
\(930\) −19.2363 22.1998i −0.630782 0.727961i
\(931\) 5.29093 2.66440i 0.173403 0.0873221i
\(932\) −63.1238 + 40.5672i −2.06769 + 1.32882i
\(933\) 9.12456 26.3637i 0.298725 0.863108i
\(934\) 21.6662 89.3095i 0.708941 2.92230i
\(935\) −13.9758 10.9907i −0.457058 0.359434i
\(936\) 11.2139 + 2.16130i 0.366538 + 0.0706444i
\(937\) −2.59168 + 5.67498i −0.0846664 + 0.185394i −0.947230 0.320556i \(-0.896130\pi\)
0.862563 + 0.505949i \(0.168858\pi\)
\(938\) −3.63728 19.3662i −0.118761 0.632328i
\(939\) 5.85258 + 12.8154i 0.190992 + 0.418213i
\(940\) 54.1951 42.6195i 1.76765 1.39010i
\(941\) −17.0121 + 8.77035i −0.554578 + 0.285905i −0.712647 0.701523i \(-0.752504\pi\)
0.158068 + 0.987428i \(0.449473\pi\)
\(942\) 15.3938 26.6629i 0.501558 0.868724i
\(943\) 4.64404 7.33205i 0.151231 0.238764i
\(944\) −220.169 −7.16589
\(945\) 3.10781 1.40150i 0.101097 0.0455909i
\(946\) −13.2758 92.3351i −0.431633 3.00207i
\(947\) 26.0708 36.6113i 0.847187 1.18971i −0.132898 0.991130i \(-0.542428\pi\)
0.980085 0.198578i \(-0.0636323\pi\)
\(948\) 57.4593 54.7873i 1.86619 1.77941i
\(949\) −2.09598 2.94339i −0.0680384 0.0955466i
\(950\) −7.63747 1.47200i −0.247792 0.0477580i
\(951\) 3.33660 23.2066i 0.108197 0.752525i
\(952\) 104.823 24.9035i 3.39733 0.807128i
\(953\) −21.8132 25.1738i −0.706598 0.815458i 0.283030 0.959111i \(-0.408660\pi\)
−0.989628 + 0.143653i \(0.954115\pi\)
\(954\) −1.24477 0.641726i −0.0403010 0.0207766i
\(955\) 0.877030 + 18.4111i 0.0283800 + 0.595770i
\(956\) −29.7455 + 5.73297i −0.962038 + 0.185418i
\(957\) −13.4654 12.8393i −0.435275 0.415034i
\(958\) −11.5430 + 80.2831i −0.372936 + 2.59383i
\(959\) 29.5651 30.7138i 0.954708 0.991800i
\(960\) 18.5240 40.5620i 0.597861 1.30913i
\(961\) 8.86777 + 36.5534i 0.286057 + 1.17914i
\(962\) 20.0591 + 1.91541i 0.646730 + 0.0617552i
\(963\) −6.16804 2.46931i −0.198762 0.0795725i
\(964\) −3.96522 + 83.2401i −0.127711 + 2.68098i
\(965\) −1.49089 −0.0479935
\(966\) 20.3080 + 28.4076i 0.653398 + 0.914001i
\(967\) −27.7397 −0.892049 −0.446024 0.895021i \(-0.647161\pi\)
−0.446024 + 0.895021i \(0.647161\pi\)
\(968\) 0.0501719 1.05324i 0.00161258 0.0338523i
\(969\) −3.25275 1.30220i −0.104493 0.0418328i
\(970\) −18.1797 1.73595i −0.583715 0.0557380i
\(971\) −3.75000 15.4577i −0.120343 0.496062i −0.999798 0.0200799i \(-0.993608\pi\)
0.879455 0.475982i \(-0.157907\pi\)
\(972\) −2.31551 + 5.07026i −0.0742700 + 0.162629i
\(973\) 53.0423 + 13.1348i 1.70046 + 0.421082i
\(974\) 13.5492 94.2365i 0.434143 3.01953i
\(975\) 2.80634 + 2.67584i 0.0898747 + 0.0856954i
\(976\) −173.017 + 33.3462i −5.53813 + 1.06739i
\(977\) 0.314319 + 6.59837i 0.0100560 + 0.211100i 0.998303 + 0.0582347i \(0.0185472\pi\)
−0.988247 + 0.152866i \(0.951150\pi\)
\(978\) 17.9790 + 9.26883i 0.574906 + 0.296385i
\(979\) 12.6364 + 14.5832i 0.403861 + 0.466080i
\(980\) −16.8942 + 47.3533i −0.539665 + 1.51265i
\(981\) 1.89037 13.1478i 0.0603548 0.419777i
\(982\) 41.1975 + 7.94017i 1.31467 + 0.253381i
\(983\) 29.4399 + 41.3425i 0.938986 + 1.31862i 0.947869 + 0.318661i \(0.103233\pi\)
−0.00888247 + 0.999961i \(0.502827\pi\)
\(984\) −12.8825 + 12.2834i −0.410679 + 0.391581i
\(985\) 7.37187 10.3523i 0.234887 0.329853i
\(986\) 9.05250 + 62.9615i 0.288290 + 2.00510i
\(987\) 2.53415 25.2706i 0.0806628 0.804372i
\(988\) 5.47698 0.174246
\(989\) −48.3246 6.62334i −1.53663 0.210610i
\(990\) −5.90934 + 10.2353i −0.187811 + 0.325298i
\(991\) 49.0294 25.2764i 1.55747 0.802932i 0.557836 0.829951i \(-0.311632\pi\)
0.999635 + 0.0270195i \(0.00860163\pi\)
\(992\) −157.209 + 123.631i −4.99140 + 3.92528i
\(993\) −2.90565 6.36249i −0.0922081 0.201908i
\(994\) −20.1220 + 17.2693i −0.638231 + 0.547748i
\(995\) −6.77982 + 14.8457i −0.214935 + 0.470642i
\(996\) 28.9916 + 5.58767i 0.918633 + 0.177052i
\(997\) −20.3484 16.0022i −0.644441 0.506794i 0.241615 0.970372i \(-0.422323\pi\)
−0.886056 + 0.463578i \(0.846565\pi\)
\(998\) −7.23637 + 29.8287i −0.229063 + 0.944212i
\(999\) −2.06250 + 5.95919i −0.0652545 + 0.188540i
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.y.a.25.16 320
7.2 even 3 inner 483.2.y.a.163.1 yes 320
23.12 even 11 inner 483.2.y.a.403.1 yes 320
161.58 even 33 inner 483.2.y.a.58.16 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.y.a.25.16 320 1.1 even 1 trivial
483.2.y.a.58.16 yes 320 161.58 even 33 inner
483.2.y.a.163.1 yes 320 7.2 even 3 inner
483.2.y.a.403.1 yes 320 23.12 even 11 inner