Properties

Label 483.2.q.a.463.1
Level $483$
Weight $2$
Character 483.463
Analytic conductor $3.857$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(64,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.64");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.q (of order \(11\), degree \(10\), 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: \(10\)
Coefficient field: \(\Q(\zeta_{22})\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 463.1
Root \(-0.415415 - 0.909632i\) of defining polynomial
Character \(\chi\) \(=\) 483.463
Dual form 483.2.q.a.169.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0681534 - 0.474017i) q^{2} +(0.415415 - 0.909632i) q^{3} +(1.69894 - 0.498853i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-0.459493 - 0.134919i) q^{6} +(0.841254 - 0.540641i) q^{7} +(-0.750131 - 1.64256i) q^{8} +(-0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.0681534 - 0.474017i) q^{2} +(0.415415 - 0.909632i) q^{3} +(1.69894 - 0.498853i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-0.459493 - 0.134919i) q^{6} +(0.841254 - 0.540641i) q^{7} +(-0.750131 - 1.64256i) q^{8} +(-0.654861 - 0.755750i) q^{9} +(-0.402869 - 0.258908i) q^{10} +(-0.0556075 + 0.386758i) q^{11} +(0.251992 - 1.75264i) q^{12} +(0.211799 + 0.136115i) q^{13} +(-0.313607 - 0.361922i) q^{14} +(-0.415415 - 0.909632i) q^{15} +(2.25168 - 1.44706i) q^{16} +(-1.96635 - 0.577371i) q^{17} +(-0.313607 + 0.361922i) q^{18} +(1.48357 - 0.435615i) q^{19} +(0.735560 - 1.61065i) q^{20} +(-0.142315 - 0.989821i) q^{21} +0.187120 q^{22} +(-0.936621 + 4.70348i) q^{23} -1.80574 q^{24} +(0.569259 + 3.95929i) q^{25} +(0.0500861 - 0.109673i) q^{26} +(-0.959493 + 0.281733i) q^{27} +(1.15954 - 1.33818i) q^{28} +(-3.13631 - 0.920903i) q^{29} +(-0.402869 + 0.258908i) q^{30} +(-0.777590 - 1.70268i) q^{31} +(-3.20441 - 3.69808i) q^{32} +(0.328708 + 0.211248i) q^{33} +(-0.139671 + 0.971431i) q^{34} +(0.142315 - 0.989821i) q^{35} +(-1.48958 - 0.957293i) q^{36} +(4.05099 + 4.67510i) q^{37} +(-0.307599 - 0.673548i) q^{38} +(0.211799 - 0.136115i) q^{39} +(-1.73259 - 0.508735i) q^{40} +(2.76880 - 3.19537i) q^{41} +(-0.459493 + 0.134919i) q^{42} +(1.13858 - 2.49315i) q^{43} +(0.0984621 + 0.684819i) q^{44} -1.00000 q^{45} +(2.29336 + 0.123416i) q^{46} -2.48092 q^{47} +(-0.380916 - 2.64933i) q^{48} +(0.415415 - 0.909632i) q^{49} +(1.83797 - 0.539677i) q^{50} +(-1.34204 + 1.54880i) q^{51} +(0.427736 + 0.125595i) q^{52} +(-1.56241 + 1.00410i) q^{53} +(0.198939 + 0.435615i) q^{54} +(0.255877 + 0.295298i) q^{55} +(-1.51908 - 0.976256i) q^{56} +(0.220047 - 1.53046i) q^{57} +(-0.222774 + 1.54943i) q^{58} +(-3.66474 - 2.35519i) q^{59} +(-1.15954 - 1.33818i) q^{60} +(-1.11732 - 2.44659i) q^{61} +(-0.754106 + 0.484635i) q^{62} +(-0.959493 - 0.281733i) q^{63} +(1.97100 - 2.27466i) q^{64} +(0.241568 - 0.0709308i) q^{65} +(0.0777324 - 0.170210i) q^{66} +(0.115190 + 0.801166i) q^{67} -3.62872 q^{68} +(3.88935 + 2.80588i) q^{69} -0.478891 q^{70} +(0.715611 + 4.97718i) q^{71} +(-0.750131 + 1.64256i) q^{72} +(-4.62478 + 1.35796i) q^{73} +(1.93999 - 2.23886i) q^{74} +(3.83797 + 1.12693i) q^{75} +(2.30318 - 1.48017i) q^{76} +(0.162317 + 0.355426i) q^{77} +(-0.0789558 - 0.0911198i) q^{78} +(14.2473 + 9.15621i) q^{79} +(0.380916 - 2.64933i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-1.70336 - 1.09468i) q^{82} +(6.52367 + 7.52872i) q^{83} +(-0.735560 - 1.61065i) q^{84} +(-1.72403 + 1.10797i) q^{85} +(-1.25940 - 0.369792i) q^{86} +(-2.14055 + 2.47033i) q^{87} +(0.676986 - 0.198781i) q^{88} +(0.433841 - 0.949980i) q^{89} +(0.0681534 + 0.474017i) q^{90} +0.251766 q^{91} +(0.755086 + 8.45816i) q^{92} -1.87184 q^{93} +(0.169083 + 1.17600i) q^{94} +(0.642315 - 1.40647i) q^{95} +(-4.69505 + 1.37859i) q^{96} +(-6.08226 + 7.01930i) q^{97} +(-0.459493 - 0.134919i) q^{98} +(0.328708 - 0.211248i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q + 4 q^{2} - q^{3} + 8 q^{4} + q^{5} + 4 q^{6} - q^{7} - 7 q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q + 4 q^{2} - q^{3} + 8 q^{4} + q^{5} + 4 q^{6} - q^{7} - 7 q^{8} - q^{9} - 4 q^{10} - q^{11} - 3 q^{12} + 15 q^{13} - 7 q^{14} + q^{15} - 10 q^{16} - 24 q^{17} - 7 q^{18} + 5 q^{19} - 8 q^{20} - q^{21} + 26 q^{22} + 21 q^{23} - 18 q^{24} + 4 q^{25} + 6 q^{26} - q^{27} - 3 q^{28} - 22 q^{29} - 4 q^{30} - 8 q^{31} + 10 q^{32} - q^{33} + 8 q^{34} + q^{35} - 14 q^{36} - 2 q^{37} + 2 q^{38} + 15 q^{39} - 4 q^{40} + 7 q^{41} + 4 q^{42} + q^{43} + 19 q^{44} - 10 q^{45} + 15 q^{46} - 6 q^{47} + q^{48} - q^{49} - 16 q^{50} + 20 q^{51} - 21 q^{52} - q^{53} - 7 q^{54} + 12 q^{55} + 4 q^{56} - 6 q^{57} + 22 q^{58} + 10 q^{59} + 3 q^{60} + 5 q^{61} - 34 q^{62} - q^{63} + 13 q^{64} - 4 q^{65} - 7 q^{66} + 29 q^{67} - 28 q^{68} - q^{69} - 4 q^{70} + 22 q^{71} - 7 q^{72} - 33 q^{73} - 36 q^{74} + 4 q^{75} + 26 q^{76} - q^{77} + 28 q^{78} + 27 q^{79} - q^{80} - q^{81} + 38 q^{82} + 25 q^{83} + 8 q^{84} + 2 q^{85} + 18 q^{86} - 7 q^{88} - 38 q^{89} - 4 q^{90} - 18 q^{91} + 41 q^{92} - 30 q^{93} - 42 q^{94} + 6 q^{95} - 23 q^{96} - q^{97} + 4 q^{98} - q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{8}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0681534 0.474017i −0.0481917 0.335181i −0.999626 0.0273302i \(-0.991299\pi\)
0.951435 0.307850i \(-0.0996096\pi\)
\(3\) 0.415415 0.909632i 0.239840 0.525176i
\(4\) 1.69894 0.498853i 0.849469 0.249427i
\(5\) 0.654861 0.755750i 0.292863 0.337981i −0.590182 0.807270i \(-0.700944\pi\)
0.883045 + 0.469289i \(0.155490\pi\)
\(6\) −0.459493 0.134919i −0.187587 0.0550806i
\(7\) 0.841254 0.540641i 0.317964 0.204343i
\(8\) −0.750131 1.64256i −0.265211 0.580732i
\(9\) −0.654861 0.755750i −0.218287 0.251917i
\(10\) −0.402869 0.258908i −0.127398 0.0818740i
\(11\) −0.0556075 + 0.386758i −0.0167663 + 0.116612i −0.996486 0.0837617i \(-0.973307\pi\)
0.979720 + 0.200374i \(0.0642156\pi\)
\(12\) 0.251992 1.75264i 0.0727437 0.505944i
\(13\) 0.211799 + 0.136115i 0.0587426 + 0.0377516i 0.569682 0.821865i \(-0.307066\pi\)
−0.510940 + 0.859616i \(0.670703\pi\)
\(14\) −0.313607 0.361922i −0.0838151 0.0967277i
\(15\) −0.415415 0.909632i −0.107260 0.234866i
\(16\) 2.25168 1.44706i 0.562919 0.361766i
\(17\) −1.96635 0.577371i −0.476909 0.140033i 0.0344392 0.999407i \(-0.489036\pi\)
−0.511348 + 0.859374i \(0.670854\pi\)
\(18\) −0.313607 + 0.361922i −0.0739179 + 0.0853058i
\(19\) 1.48357 0.435615i 0.340354 0.0999369i −0.107089 0.994249i \(-0.534153\pi\)
0.447443 + 0.894313i \(0.352335\pi\)
\(20\) 0.735560 1.61065i 0.164476 0.360153i
\(21\) −0.142315 0.989821i −0.0310556 0.215997i
\(22\) 0.187120 0.0398941
\(23\) −0.936621 + 4.70348i −0.195299 + 0.980744i
\(24\) −1.80574 −0.368595
\(25\) 0.569259 + 3.95929i 0.113852 + 0.791857i
\(26\) 0.0500861 0.109673i 0.00982269 0.0215087i
\(27\) −0.959493 + 0.281733i −0.184655 + 0.0542195i
\(28\) 1.15954 1.33818i 0.219132 0.252892i
\(29\) −3.13631 0.920903i −0.582398 0.171007i −0.0227544 0.999741i \(-0.507244\pi\)
−0.559643 + 0.828734i \(0.689062\pi\)
\(30\) −0.402869 + 0.258908i −0.0735535 + 0.0472700i
\(31\) −0.777590 1.70268i −0.139659 0.305811i 0.826859 0.562410i \(-0.190126\pi\)
−0.966518 + 0.256598i \(0.917398\pi\)
\(32\) −3.20441 3.69808i −0.566464 0.653735i
\(33\) 0.328708 + 0.211248i 0.0572207 + 0.0367735i
\(34\) −0.139671 + 0.971431i −0.0239533 + 0.166599i
\(35\) 0.142315 0.989821i 0.0240556 0.167310i
\(36\) −1.48958 0.957293i −0.248263 0.159549i
\(37\) 4.05099 + 4.67510i 0.665979 + 0.768581i 0.983742 0.179589i \(-0.0574768\pi\)
−0.317762 + 0.948170i \(0.602931\pi\)
\(38\) −0.307599 0.673548i −0.0498992 0.109264i
\(39\) 0.211799 0.136115i 0.0339150 0.0217959i
\(40\) −1.73259 0.508735i −0.273947 0.0804381i
\(41\) 2.76880 3.19537i 0.432414 0.499033i −0.497164 0.867656i \(-0.665625\pi\)
0.929579 + 0.368624i \(0.120171\pi\)
\(42\) −0.459493 + 0.134919i −0.0709013 + 0.0208185i
\(43\) 1.13858 2.49315i 0.173633 0.380202i −0.802730 0.596343i \(-0.796620\pi\)
0.976362 + 0.216141i \(0.0693471\pi\)
\(44\) 0.0984621 + 0.684819i 0.0148437 + 0.103240i
\(45\) −1.00000 −0.149071
\(46\) 2.29336 + 0.123416i 0.338138 + 0.0181967i
\(47\) −2.48092 −0.361880 −0.180940 0.983494i \(-0.557914\pi\)
−0.180940 + 0.983494i \(0.557914\pi\)
\(48\) −0.380916 2.64933i −0.0549805 0.382398i
\(49\) 0.415415 0.909632i 0.0593450 0.129947i
\(50\) 1.83797 0.539677i 0.259928 0.0763219i
\(51\) −1.34204 + 1.54880i −0.187924 + 0.216876i
\(52\) 0.427736 + 0.125595i 0.0593163 + 0.0174168i
\(53\) −1.56241 + 1.00410i −0.214613 + 0.137923i −0.643531 0.765420i \(-0.722531\pi\)
0.428918 + 0.903343i \(0.358895\pi\)
\(54\) 0.198939 + 0.435615i 0.0270721 + 0.0592797i
\(55\) 0.255877 + 0.295298i 0.0345025 + 0.0398180i
\(56\) −1.51908 0.976256i −0.202996 0.130458i
\(57\) 0.220047 1.53046i 0.0291460 0.202715i
\(58\) −0.222774 + 1.54943i −0.0292516 + 0.203450i
\(59\) −3.66474 2.35519i −0.477109 0.306619i 0.279894 0.960031i \(-0.409701\pi\)
−0.757003 + 0.653412i \(0.773337\pi\)
\(60\) −1.15954 1.33818i −0.149696 0.172758i
\(61\) −1.11732 2.44659i −0.143058 0.313254i 0.824517 0.565837i \(-0.191447\pi\)
−0.967575 + 0.252584i \(0.918720\pi\)
\(62\) −0.754106 + 0.484635i −0.0957716 + 0.0615487i
\(63\) −0.959493 0.281733i −0.120885 0.0354950i
\(64\) 1.97100 2.27466i 0.246375 0.284332i
\(65\) 0.241568 0.0709308i 0.0299628 0.00879788i
\(66\) 0.0777324 0.170210i 0.00956820 0.0209514i
\(67\) 0.115190 + 0.801166i 0.0140727 + 0.0978780i 0.995647 0.0932018i \(-0.0297102\pi\)
−0.981575 + 0.191080i \(0.938801\pi\)
\(68\) −3.62872 −0.440047
\(69\) 3.88935 + 2.80588i 0.468223 + 0.337788i
\(70\) −0.478891 −0.0572385
\(71\) 0.715611 + 4.97718i 0.0849274 + 0.590683i 0.987196 + 0.159509i \(0.0509912\pi\)
−0.902269 + 0.431173i \(0.858100\pi\)
\(72\) −0.750131 + 1.64256i −0.0884038 + 0.193577i
\(73\) −4.62478 + 1.35796i −0.541289 + 0.158937i −0.540937 0.841063i \(-0.681930\pi\)
−0.000352177 1.00000i \(0.500112\pi\)
\(74\) 1.93999 2.23886i 0.225519 0.260263i
\(75\) 3.83797 + 1.12693i 0.443171 + 0.130127i
\(76\) 2.30318 1.48017i 0.264193 0.169787i
\(77\) 0.162317 + 0.355426i 0.0184978 + 0.0405045i
\(78\) −0.0789558 0.0911198i −0.00893998 0.0103173i
\(79\) 14.2473 + 9.15621i 1.60295 + 1.03015i 0.965756 + 0.259453i \(0.0835423\pi\)
0.637196 + 0.770702i \(0.280094\pi\)
\(80\) 0.380916 2.64933i 0.0425877 0.296204i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −1.70336 1.09468i −0.188105 0.120888i
\(83\) 6.52367 + 7.52872i 0.716066 + 0.826384i 0.990828 0.135128i \(-0.0431446\pi\)
−0.274762 + 0.961512i \(0.588599\pi\)
\(84\) −0.735560 1.61065i −0.0802562 0.175737i
\(85\) −1.72403 + 1.10797i −0.186997 + 0.120176i
\(86\) −1.25940 0.369792i −0.135804 0.0398757i
\(87\) −2.14055 + 2.47033i −0.229491 + 0.264847i
\(88\) 0.676986 0.198781i 0.0721669 0.0211901i
\(89\) 0.433841 0.949980i 0.0459871 0.100698i −0.885244 0.465127i \(-0.846009\pi\)
0.931231 + 0.364429i \(0.118736\pi\)
\(90\) 0.0681534 + 0.474017i 0.00718399 + 0.0499658i
\(91\) 0.251766 0.0263923
\(92\) 0.755086 + 8.45816i 0.0787232 + 0.881825i
\(93\) −1.87184 −0.194101
\(94\) 0.169083 + 1.17600i 0.0174396 + 0.121295i
\(95\) 0.642315 1.40647i 0.0659001 0.144301i
\(96\) −4.69505 + 1.37859i −0.479187 + 0.140702i
\(97\) −6.08226 + 7.01930i −0.617560 + 0.712702i −0.975242 0.221141i \(-0.929022\pi\)
0.357682 + 0.933844i \(0.383567\pi\)
\(98\) −0.459493 0.134919i −0.0464158 0.0136289i
\(99\) 0.328708 0.211248i 0.0330364 0.0212312i
\(100\) 2.94224 + 6.44261i 0.294224 + 0.644261i
\(101\) −5.86157 6.76461i −0.583248 0.673104i 0.385052 0.922895i \(-0.374183\pi\)
−0.968300 + 0.249791i \(0.919638\pi\)
\(102\) 0.825623 + 0.530596i 0.0817489 + 0.0525368i
\(103\) −0.0324995 + 0.226039i −0.00320227 + 0.0222723i −0.991360 0.131170i \(-0.958127\pi\)
0.988158 + 0.153442i \(0.0490358\pi\)
\(104\) 0.0646998 0.449997i 0.00634434 0.0441258i
\(105\) −0.841254 0.540641i −0.0820979 0.0527611i
\(106\) 0.582443 + 0.672175i 0.0565718 + 0.0652874i
\(107\) 5.85050 + 12.8108i 0.565589 + 1.23847i 0.949113 + 0.314937i \(0.101983\pi\)
−0.383523 + 0.923531i \(0.625289\pi\)
\(108\) −1.48958 + 0.957293i −0.143335 + 0.0921155i
\(109\) 0.630919 + 0.185255i 0.0604311 + 0.0177442i 0.311808 0.950145i \(-0.399065\pi\)
−0.251377 + 0.967889i \(0.580883\pi\)
\(110\) 0.122537 0.141416i 0.0116835 0.0134835i
\(111\) 5.93546 1.74281i 0.563369 0.165420i
\(112\) 1.11189 2.43470i 0.105064 0.230057i
\(113\) 1.47511 + 10.2596i 0.138766 + 0.965142i 0.933601 + 0.358315i \(0.116649\pi\)
−0.794834 + 0.606827i \(0.792442\pi\)
\(114\) −0.740462 −0.0693506
\(115\) 2.94130 + 3.78798i 0.274277 + 0.353231i
\(116\) −5.78779 −0.537383
\(117\) −0.0358301 0.249204i −0.00331249 0.0230389i
\(118\) −0.866635 + 1.89767i −0.0797802 + 0.174694i
\(119\) −1.96635 + 0.577371i −0.180255 + 0.0529275i
\(120\) −1.18251 + 1.36469i −0.107948 + 0.124578i
\(121\) 10.4079 + 3.05604i 0.946176 + 0.277822i
\(122\) −1.08358 + 0.696372i −0.0981024 + 0.0630466i
\(123\) −1.75641 3.84599i −0.158370 0.346782i
\(124\) −2.17047 2.50485i −0.194914 0.224942i
\(125\) 7.57128 + 4.86577i 0.677196 + 0.435207i
\(126\) −0.0681534 + 0.474017i −0.00607158 + 0.0422288i
\(127\) −1.62721 + 11.3175i −0.144391 + 1.00426i 0.780805 + 0.624775i \(0.214809\pi\)
−0.925196 + 0.379489i \(0.876100\pi\)
\(128\) −9.44551 6.07026i −0.834873 0.536540i
\(129\) −1.79487 2.07139i −0.158029 0.182375i
\(130\) −0.0500861 0.109673i −0.00439284 0.00961898i
\(131\) 2.78475 1.78965i 0.243305 0.156363i −0.413306 0.910592i \(-0.635626\pi\)
0.656611 + 0.754230i \(0.271989\pi\)
\(132\) 0.663836 + 0.194920i 0.0577795 + 0.0169656i
\(133\) 1.01255 1.16854i 0.0877989 0.101325i
\(134\) 0.371916 0.109204i 0.0321286 0.00943381i
\(135\) −0.415415 + 0.909632i −0.0357532 + 0.0782887i
\(136\) 0.526651 + 3.66294i 0.0451600 + 0.314094i
\(137\) −9.51643 −0.813043 −0.406522 0.913641i \(-0.633258\pi\)
−0.406522 + 0.913641i \(0.633258\pi\)
\(138\) 1.06496 2.03485i 0.0906555 0.173218i
\(139\) −6.04721 −0.512918 −0.256459 0.966555i \(-0.582556\pi\)
−0.256459 + 0.966555i \(0.582556\pi\)
\(140\) −0.251992 1.75264i −0.0212972 0.148125i
\(141\) −1.03061 + 2.25673i −0.0867933 + 0.190051i
\(142\) 2.31050 0.678423i 0.193893 0.0569320i
\(143\) −0.0644213 + 0.0743462i −0.00538718 + 0.00621714i
\(144\) −2.56815 0.754078i −0.214013 0.0628398i
\(145\) −2.74982 + 1.76720i −0.228360 + 0.146758i
\(146\) 0.958889 + 2.09967i 0.0793582 + 0.173770i
\(147\) −0.654861 0.755750i −0.0540120 0.0623332i
\(148\) 9.21458 + 5.92185i 0.757434 + 0.486773i
\(149\) −1.09104 + 7.58838i −0.0893818 + 0.621664i 0.895059 + 0.445948i \(0.147133\pi\)
−0.984441 + 0.175716i \(0.943776\pi\)
\(150\) 0.272613 1.89607i 0.0222588 0.154813i
\(151\) −5.43700 3.49415i −0.442457 0.284350i 0.300383 0.953819i \(-0.402885\pi\)
−0.742840 + 0.669469i \(0.766522\pi\)
\(152\) −1.82839 2.11008i −0.148302 0.171150i
\(153\) 0.851334 + 1.86416i 0.0688263 + 0.150709i
\(154\) 0.157415 0.101165i 0.0126849 0.00815208i
\(155\) −1.79602 0.527358i −0.144260 0.0423584i
\(156\) 0.291933 0.336908i 0.0233733 0.0269742i
\(157\) −3.29246 + 0.966754i −0.262767 + 0.0771553i −0.410462 0.911878i \(-0.634633\pi\)
0.147695 + 0.989033i \(0.452814\pi\)
\(158\) 3.36920 7.37751i 0.268039 0.586923i
\(159\) 0.264312 + 1.83833i 0.0209613 + 0.145789i
\(160\) −4.89326 −0.386847
\(161\) 1.75496 + 4.46320i 0.138310 + 0.351749i
\(162\) 0.478891 0.0376253
\(163\) 1.49182 + 10.3758i 0.116848 + 0.812696i 0.960991 + 0.276578i \(0.0892006\pi\)
−0.844143 + 0.536118i \(0.819890\pi\)
\(164\) 3.11000 6.80996i 0.242851 0.531769i
\(165\) 0.374908 0.110083i 0.0291865 0.00856994i
\(166\) 3.12413 3.60544i 0.242480 0.279836i
\(167\) 14.6875 + 4.31264i 1.13655 + 0.333722i 0.795281 0.606242i \(-0.207324\pi\)
0.341274 + 0.939964i \(0.389142\pi\)
\(168\) −1.51908 + 0.976256i −0.117200 + 0.0753198i
\(169\) −5.37406 11.7676i −0.413390 0.905197i
\(170\) 0.642694 + 0.741708i 0.0492924 + 0.0568864i
\(171\) −1.30075 0.835939i −0.0994706 0.0639259i
\(172\) 0.690668 4.80370i 0.0526629 0.366279i
\(173\) 3.28292 22.8332i 0.249596 1.73598i −0.350957 0.936392i \(-0.614144\pi\)
0.600553 0.799585i \(-0.294947\pi\)
\(174\) 1.31686 + 0.846297i 0.0998312 + 0.0641576i
\(175\) 2.61944 + 3.02300i 0.198011 + 0.228517i
\(176\) 0.434454 + 0.951323i 0.0327482 + 0.0717086i
\(177\) −3.66474 + 2.35519i −0.275459 + 0.177027i
\(178\) −0.479874 0.140904i −0.0359681 0.0105612i
\(179\) 0.945666 1.09136i 0.0706824 0.0815718i −0.719307 0.694692i \(-0.755541\pi\)
0.789989 + 0.613120i \(0.210086\pi\)
\(180\) −1.69894 + 0.498853i −0.126631 + 0.0371823i
\(181\) 0.152267 0.333417i 0.0113179 0.0247827i −0.903889 0.427768i \(-0.859300\pi\)
0.915207 + 0.402985i \(0.132027\pi\)
\(182\) −0.0171587 0.119342i −0.00127189 0.00884619i
\(183\) −2.68965 −0.198825
\(184\) 8.42833 1.98977i 0.621344 0.146688i
\(185\) 6.18604 0.454807
\(186\) 0.127572 + 0.887284i 0.00935404 + 0.0650588i
\(187\) 0.332647 0.728395i 0.0243255 0.0532655i
\(188\) −4.21494 + 1.23762i −0.307406 + 0.0902625i
\(189\) −0.654861 + 0.755750i −0.0476341 + 0.0549727i
\(190\) −0.710468 0.208612i −0.0515428 0.0151343i
\(191\) 4.62086 2.96965i 0.334354 0.214876i −0.362681 0.931913i \(-0.618139\pi\)
0.697035 + 0.717037i \(0.254502\pi\)
\(192\) −1.25032 2.73781i −0.0902339 0.197585i
\(193\) −12.7985 14.7702i −0.921255 1.06318i −0.997812 0.0661195i \(-0.978938\pi\)
0.0765569 0.997065i \(-0.475607\pi\)
\(194\) 3.74180 + 2.40471i 0.268645 + 0.172648i
\(195\) 0.0358301 0.249204i 0.00256585 0.0178459i
\(196\) 0.251992 1.75264i 0.0179994 0.125189i
\(197\) −8.84184 5.68231i −0.629955 0.404848i 0.186338 0.982486i \(-0.440338\pi\)
−0.816293 + 0.577638i \(0.803974\pi\)
\(198\) −0.122537 0.141416i −0.00870836 0.0100500i
\(199\) −7.19504 15.7549i −0.510043 1.11684i −0.973073 0.230496i \(-0.925965\pi\)
0.463030 0.886343i \(-0.346762\pi\)
\(200\) 6.07633 3.90502i 0.429662 0.276127i
\(201\) 0.776618 + 0.228036i 0.0547784 + 0.0160844i
\(202\) −2.80705 + 3.23951i −0.197504 + 0.227931i
\(203\) −3.13631 + 0.920903i −0.220126 + 0.0646347i
\(204\) −1.50743 + 3.30080i −0.105541 + 0.231102i
\(205\) −0.601718 4.18504i −0.0420258 0.292296i
\(206\) 0.109361 0.00761957
\(207\) 4.16801 2.37227i 0.289697 0.164884i
\(208\) 0.673871 0.0467246
\(209\) 0.0859803 + 0.598006i 0.00594738 + 0.0413649i
\(210\) −0.198939 + 0.435615i −0.0137281 + 0.0300603i
\(211\) 5.30330 1.55719i 0.365094 0.107201i −0.0940395 0.995568i \(-0.529978\pi\)
0.459134 + 0.888367i \(0.348160\pi\)
\(212\) −2.15354 + 2.48531i −0.147905 + 0.170692i
\(213\) 4.82468 + 1.41665i 0.330582 + 0.0970675i
\(214\) 5.67381 3.64634i 0.387854 0.249258i
\(215\) −1.13858 2.49315i −0.0776508 0.170032i
\(216\) 1.18251 + 1.36469i 0.0804594 + 0.0928551i
\(217\) −1.57469 1.01199i −0.106897 0.0686985i
\(218\) 0.0448146 0.311692i 0.00303523 0.0211105i
\(219\) −0.685961 + 4.77096i −0.0463529 + 0.322392i
\(220\) 0.582030 + 0.374048i 0.0392405 + 0.0252183i
\(221\) −0.337882 0.389936i −0.0227284 0.0262300i
\(222\) −1.23064 2.69473i −0.0825953 0.180859i
\(223\) −20.1236 + 12.9327i −1.34758 + 0.866036i −0.997499 0.0706847i \(-0.977482\pi\)
−0.350079 + 0.936720i \(0.613845\pi\)
\(224\) −4.69505 1.37859i −0.313701 0.0921110i
\(225\) 2.61944 3.02300i 0.174630 0.201533i
\(226\) 4.76269 1.39845i 0.316810 0.0930237i
\(227\) 8.20917 17.9756i 0.544862 1.19308i −0.414278 0.910150i \(-0.635966\pi\)
0.959140 0.282931i \(-0.0913067\pi\)
\(228\) −0.389630 2.70993i −0.0258038 0.179470i
\(229\) −12.5482 −0.829211 −0.414605 0.910001i \(-0.636080\pi\)
−0.414605 + 0.910001i \(0.636080\pi\)
\(230\) 1.59511 1.65239i 0.105178 0.108955i
\(231\) 0.390736 0.0257085
\(232\) 0.840005 + 5.84236i 0.0551490 + 0.383570i
\(233\) −1.20720 + 2.64341i −0.0790865 + 0.173175i −0.945045 0.326941i \(-0.893982\pi\)
0.865958 + 0.500116i \(0.166709\pi\)
\(234\) −0.115685 + 0.0339682i −0.00756256 + 0.00222057i
\(235\) −1.62466 + 1.87496i −0.105981 + 0.122309i
\(236\) −7.40107 2.17315i −0.481769 0.141460i
\(237\) 14.2473 9.15621i 0.925465 0.594760i
\(238\) 0.407697 + 0.892731i 0.0264271 + 0.0578672i
\(239\) 1.51397 + 1.74722i 0.0979309 + 0.113018i 0.802599 0.596518i \(-0.203450\pi\)
−0.704669 + 0.709537i \(0.748904\pi\)
\(240\) −2.25168 1.44706i −0.145345 0.0934076i
\(241\) 2.38906 16.6163i 0.153893 1.07035i −0.755720 0.654895i \(-0.772713\pi\)
0.909613 0.415456i \(-0.136378\pi\)
\(242\) 0.739282 5.14182i 0.0475228 0.330529i
\(243\) 0.841254 + 0.540641i 0.0539664 + 0.0346821i
\(244\) −3.11875 3.59923i −0.199657 0.230417i
\(245\) −0.415415 0.909632i −0.0265399 0.0581143i
\(246\) −1.70336 + 1.09468i −0.108602 + 0.0697945i
\(247\) 0.373513 + 0.109673i 0.0237660 + 0.00697834i
\(248\) −2.21346 + 2.55447i −0.140555 + 0.162209i
\(249\) 9.55839 2.80660i 0.605739 0.177861i
\(250\) 1.79045 3.92053i 0.113238 0.247956i
\(251\) 1.11450 + 7.75155i 0.0703469 + 0.489273i 0.994287 + 0.106737i \(0.0340403\pi\)
−0.923940 + 0.382536i \(0.875051\pi\)
\(252\) −1.77066 −0.111541
\(253\) −1.76703 0.623795i −0.111092 0.0392176i
\(254\) 5.47558 0.343568
\(255\) 0.291654 + 2.02850i 0.0182641 + 0.127030i
\(256\) 0.266972 0.584588i 0.0166858 0.0365367i
\(257\) −8.35103 + 2.45208i −0.520923 + 0.152957i −0.531615 0.846986i \(-0.678415\pi\)
0.0106923 + 0.999943i \(0.496596\pi\)
\(258\) −0.859546 + 0.991969i −0.0535130 + 0.0617573i
\(259\) 5.93546 + 1.74281i 0.368812 + 0.108293i
\(260\) 0.375025 0.241014i 0.0232581 0.0149471i
\(261\) 1.35787 + 2.97333i 0.0840502 + 0.184044i
\(262\) −1.03812 1.19805i −0.0641351 0.0740158i
\(263\) 1.48564 + 0.954760i 0.0916083 + 0.0588730i 0.585643 0.810569i \(-0.300842\pi\)
−0.494035 + 0.869442i \(0.664478\pi\)
\(264\) 0.100413 0.698384i 0.00617996 0.0429826i
\(265\) −0.264312 + 1.83833i −0.0162366 + 0.112928i
\(266\) −0.622916 0.400324i −0.0381935 0.0245454i
\(267\) −0.683908 0.789272i −0.0418545 0.0483027i
\(268\) 0.595366 + 1.30367i 0.0363677 + 0.0796342i
\(269\) −4.46961 + 2.87244i −0.272517 + 0.175136i −0.669760 0.742577i \(-0.733603\pi\)
0.397244 + 0.917713i \(0.369967\pi\)
\(270\) 0.459493 + 0.134919i 0.0279639 + 0.00821093i
\(271\) 15.5151 17.9054i 0.942476 1.08767i −0.0535461 0.998565i \(-0.517052\pi\)
0.996022 0.0891096i \(-0.0284021\pi\)
\(272\) −5.26307 + 1.54538i −0.319120 + 0.0937022i
\(273\) 0.104588 0.229015i 0.00632993 0.0138606i
\(274\) 0.648577 + 4.51095i 0.0391819 + 0.272516i
\(275\) −1.56294 −0.0942490
\(276\) 8.00749 + 2.82680i 0.481994 + 0.170153i
\(277\) −30.1344 −1.81060 −0.905301 0.424770i \(-0.860355\pi\)
−0.905301 + 0.424770i \(0.860355\pi\)
\(278\) 0.412138 + 2.86648i 0.0247184 + 0.171920i
\(279\) −0.777590 + 1.70268i −0.0465531 + 0.101937i
\(280\) −1.73259 + 0.508735i −0.103542 + 0.0304027i
\(281\) 8.47493 9.78059i 0.505572 0.583461i −0.444387 0.895835i \(-0.646579\pi\)
0.949959 + 0.312374i \(0.101124\pi\)
\(282\) 1.13997 + 0.334725i 0.0678841 + 0.0199326i
\(283\) 7.60557 4.88780i 0.452104 0.290550i −0.294705 0.955588i \(-0.595221\pi\)
0.746809 + 0.665039i \(0.231585\pi\)
\(284\) 3.69866 + 8.09894i 0.219475 + 0.480584i
\(285\) −1.01255 1.16854i −0.0599780 0.0692184i
\(286\) 0.0396319 + 0.0254699i 0.00234348 + 0.00150606i
\(287\) 0.601718 4.18504i 0.0355183 0.247035i
\(288\) −0.696384 + 4.84346i −0.0410348 + 0.285404i
\(289\) −10.7682 6.92027i −0.633421 0.407075i
\(290\) 1.02509 + 1.18302i 0.0601955 + 0.0694693i
\(291\) 3.85832 + 8.44854i 0.226179 + 0.495262i
\(292\) −7.17979 + 4.61417i −0.420166 + 0.270024i
\(293\) 13.0525 + 3.83257i 0.762538 + 0.223901i 0.639804 0.768538i \(-0.279016\pi\)
0.122734 + 0.992440i \(0.460834\pi\)
\(294\) −0.313607 + 0.361922i −0.0182899 + 0.0211077i
\(295\) −4.17983 + 1.22731i −0.243359 + 0.0714567i
\(296\) 4.64034 10.1609i 0.269714 0.590592i
\(297\) −0.0556075 0.386758i −0.00322667 0.0224420i
\(298\) 3.67138 0.212677
\(299\) −0.838591 + 0.868706i −0.0484970 + 0.0502386i
\(300\) 7.08265 0.408917
\(301\) −0.390062 2.71294i −0.0224828 0.156371i
\(302\) −1.28574 + 2.81537i −0.0739858 + 0.162006i
\(303\) −8.58829 + 2.52175i −0.493384 + 0.144871i
\(304\) 2.71015 3.12768i 0.155438 0.179385i
\(305\) −2.58070 0.757762i −0.147770 0.0433893i
\(306\) 0.825623 0.530596i 0.0471978 0.0303322i
\(307\) −8.09732 17.7307i −0.462138 1.01194i −0.986995 0.160751i \(-0.948608\pi\)
0.524857 0.851191i \(-0.324119\pi\)
\(308\) 0.453073 + 0.522874i 0.0258162 + 0.0297935i
\(309\) 0.192112 + 0.123463i 0.0109288 + 0.00702354i
\(310\) −0.127572 + 0.887284i −0.00724561 + 0.0503943i
\(311\) −0.291746 + 2.02914i −0.0165434 + 0.115062i −0.996420 0.0845433i \(-0.973057\pi\)
0.979876 + 0.199605i \(0.0639660\pi\)
\(312\) −0.382454 0.245788i −0.0216522 0.0139150i
\(313\) −10.1404 11.7026i −0.573168 0.661471i 0.392953 0.919558i \(-0.371453\pi\)
−0.966122 + 0.258087i \(0.916908\pi\)
\(314\) 0.682650 + 1.49479i 0.0385242 + 0.0843562i
\(315\) −0.841254 + 0.540641i −0.0473993 + 0.0304617i
\(316\) 28.7730 + 8.44851i 1.61861 + 0.475266i
\(317\) 8.92460 10.2995i 0.501256 0.578480i −0.447583 0.894243i \(-0.647715\pi\)
0.948838 + 0.315763i \(0.102260\pi\)
\(318\) 0.853387 0.250577i 0.0478556 0.0140517i
\(319\) 0.530569 1.16178i 0.0297062 0.0650474i
\(320\) −0.428340 2.97917i −0.0239449 0.166541i
\(321\) 14.0835 0.786065
\(322\) 1.99602 1.13606i 0.111234 0.0633103i
\(323\) −3.16872 −0.176312
\(324\) 0.251992 + 1.75264i 0.0139995 + 0.0973689i
\(325\) −0.418350 + 0.916059i −0.0232059 + 0.0508138i
\(326\) 4.81664 1.41429i 0.266769 0.0783304i
\(327\) 0.430607 0.496947i 0.0238126 0.0274812i
\(328\) −7.32554 2.15097i −0.404485 0.118768i
\(329\) −2.08709 + 1.34129i −0.115065 + 0.0739477i
\(330\) −0.0777324 0.170210i −0.00427903 0.00936977i
\(331\) −1.54170 1.77922i −0.0847394 0.0977945i 0.711796 0.702386i \(-0.247882\pi\)
−0.796536 + 0.604591i \(0.793336\pi\)
\(332\) 14.8390 + 9.53647i 0.814398 + 0.523382i
\(333\) 0.880365 6.12307i 0.0482437 0.335542i
\(334\) 1.04326 7.25605i 0.0570848 0.397034i
\(335\) 0.680914 + 0.437597i 0.0372023 + 0.0239085i
\(336\) −1.75278 2.02282i −0.0956221 0.110354i
\(337\) −9.42938 20.6475i −0.513651 1.12474i −0.971788 0.235857i \(-0.924210\pi\)
0.458137 0.888882i \(-0.348517\pi\)
\(338\) −5.21176 + 3.34940i −0.283482 + 0.182183i
\(339\) 9.94524 + 2.92019i 0.540151 + 0.158603i
\(340\) −2.37631 + 2.74241i −0.128873 + 0.148728i
\(341\) 0.701767 0.206057i 0.0380028 0.0111586i
\(342\) −0.307599 + 0.673548i −0.0166331 + 0.0364213i
\(343\) −0.142315 0.989821i −0.00768428 0.0534453i
\(344\) −4.94923 −0.266845
\(345\) 4.66752 1.10192i 0.251291 0.0593252i
\(346\) −11.0471 −0.593894
\(347\) 3.03232 + 21.0902i 0.162783 + 1.13218i 0.893357 + 0.449348i \(0.148344\pi\)
−0.730574 + 0.682834i \(0.760747\pi\)
\(348\) −2.40433 + 5.26476i −0.128886 + 0.282221i
\(349\) −25.9242 + 7.61203i −1.38769 + 0.407462i −0.888439 0.458995i \(-0.848210\pi\)
−0.499251 + 0.866457i \(0.666391\pi\)
\(350\) 1.25443 1.44769i 0.0670520 0.0773822i
\(351\) −0.241568 0.0709308i −0.0128940 0.00378601i
\(352\) 1.60845 1.03369i 0.0857309 0.0550959i
\(353\) −10.9849 24.0535i −0.584665 1.28024i −0.938613 0.344973i \(-0.887888\pi\)
0.353948 0.935265i \(-0.384839\pi\)
\(354\) 1.36616 + 1.57664i 0.0726108 + 0.0837973i
\(355\) 4.23013 + 2.71854i 0.224512 + 0.144285i
\(356\) 0.263169 1.83038i 0.0139479 0.0970100i
\(357\) −0.291654 + 2.02850i −0.0154360 + 0.107360i
\(358\) −0.581772 0.373882i −0.0307476 0.0197603i
\(359\) 4.89181 + 5.64545i 0.258180 + 0.297955i 0.870010 0.493033i \(-0.164112\pi\)
−0.611830 + 0.790989i \(0.709567\pi\)
\(360\) 0.750131 + 1.64256i 0.0395354 + 0.0865704i
\(361\) −13.9726 + 8.97965i −0.735400 + 0.472613i
\(362\) −0.168423 0.0494535i −0.00885212 0.00259922i
\(363\) 7.10349 8.19786i 0.372836 0.430276i
\(364\) 0.427736 0.125595i 0.0224194 0.00658294i
\(365\) −2.00231 + 4.38445i −0.104806 + 0.229492i
\(366\) 0.183309 + 1.27494i 0.00958169 + 0.0666421i
\(367\) −29.5643 −1.54324 −0.771621 0.636083i \(-0.780554\pi\)
−0.771621 + 0.636083i \(0.780554\pi\)
\(368\) 4.69728 + 11.9461i 0.244862 + 0.622732i
\(369\) −4.22808 −0.220105
\(370\) −0.421599 2.93229i −0.0219179 0.152442i
\(371\) −0.771524 + 1.68940i −0.0400555 + 0.0877094i
\(372\) −3.18014 + 0.933773i −0.164883 + 0.0484139i
\(373\) 0.238162 0.274854i 0.0123316 0.0142314i −0.749550 0.661947i \(-0.769730\pi\)
0.761882 + 0.647716i \(0.224276\pi\)
\(374\) −0.367942 0.108038i −0.0190258 0.00558649i
\(375\) 7.57128 4.86577i 0.390979 0.251267i
\(376\) 1.86102 + 4.07506i 0.0959747 + 0.210155i
\(377\) −0.538919 0.621946i −0.0277557 0.0320318i
\(378\) 0.402869 + 0.258908i 0.0207214 + 0.0133168i
\(379\) 2.42177 16.8438i 0.124398 0.865206i −0.828082 0.560606i \(-0.810568\pi\)
0.952480 0.304600i \(-0.0985228\pi\)
\(380\) 0.389630 2.70993i 0.0199876 0.139017i
\(381\) 9.61878 + 6.18161i 0.492785 + 0.316694i
\(382\) −1.72259 1.98798i −0.0881354 0.101714i
\(383\) 13.4895 + 29.5380i 0.689283 + 1.50932i 0.852499 + 0.522729i \(0.175086\pi\)
−0.163216 + 0.986590i \(0.552187\pi\)
\(384\) −9.44551 + 6.07026i −0.482014 + 0.309772i
\(385\) 0.374908 + 0.110083i 0.0191071 + 0.00561034i
\(386\) −6.12908 + 7.07334i −0.311962 + 0.360023i
\(387\) −2.62981 + 0.772183i −0.133681 + 0.0392523i
\(388\) −6.83179 + 14.9595i −0.346831 + 0.759455i
\(389\) 1.40277 + 9.75646i 0.0711231 + 0.494672i 0.993983 + 0.109536i \(0.0349365\pi\)
−0.922860 + 0.385136i \(0.874154\pi\)
\(390\) −0.120569 −0.00610524
\(391\) 4.55738 8.70789i 0.230476 0.440377i
\(392\) −1.80574 −0.0912036
\(393\) −0.471097 3.27655i −0.0237637 0.165280i
\(394\) −2.09091 + 4.57845i −0.105338 + 0.230659i
\(395\) 16.2498 4.77138i 0.817618 0.240074i
\(396\) 0.453073 0.522874i 0.0227678 0.0262754i
\(397\) 9.87548 + 2.89970i 0.495636 + 0.145532i 0.519992 0.854171i \(-0.325935\pi\)
−0.0243552 + 0.999703i \(0.507753\pi\)
\(398\) −6.97775 + 4.48433i −0.349763 + 0.224779i
\(399\) −0.642315 1.40647i −0.0321560 0.0704117i
\(400\) 7.01113 + 8.09128i 0.350557 + 0.404564i
\(401\) 15.6753 + 10.0739i 0.782789 + 0.503068i 0.869958 0.493126i \(-0.164146\pi\)
−0.0871694 + 0.996194i \(0.527782\pi\)
\(402\) 0.0551636 0.383671i 0.00275131 0.0191358i
\(403\) 0.0670682 0.466469i 0.00334090 0.0232365i
\(404\) −13.3330 8.56859i −0.663341 0.426303i
\(405\) 0.654861 + 0.755750i 0.0325403 + 0.0375535i
\(406\) 0.650273 + 1.42390i 0.0322725 + 0.0706670i
\(407\) −2.03340 + 1.30679i −0.100792 + 0.0647750i
\(408\) 3.55071 + 1.04258i 0.175786 + 0.0516155i
\(409\) −4.10336 + 4.73553i −0.202898 + 0.234157i −0.848075 0.529876i \(-0.822238\pi\)
0.645177 + 0.764033i \(0.276784\pi\)
\(410\) −1.94277 + 0.570449i −0.0959467 + 0.0281725i
\(411\) −3.95327 + 8.65645i −0.195000 + 0.426991i
\(412\) 0.0575457 + 0.400239i 0.00283507 + 0.0197184i
\(413\) −4.35629 −0.214359
\(414\) −1.40856 1.81403i −0.0692271 0.0891547i
\(415\) 9.96192 0.489011
\(416\) −0.175326 1.21942i −0.00859607 0.0597870i
\(417\) −2.51210 + 5.50074i −0.123018 + 0.269372i
\(418\) 0.277605 0.0815122i 0.0135781 0.00398689i
\(419\) −12.3433 + 14.2449i −0.603010 + 0.695911i −0.972388 0.233368i \(-0.925025\pi\)
0.369378 + 0.929279i \(0.379571\pi\)
\(420\) −1.69894 0.498853i −0.0828997 0.0243416i
\(421\) 27.2028 17.4822i 1.32578 0.852028i 0.330017 0.943975i \(-0.392945\pi\)
0.995764 + 0.0919469i \(0.0293090\pi\)
\(422\) −1.09957 2.40773i −0.0535263 0.117206i
\(423\) 1.62466 + 1.87496i 0.0789937 + 0.0911635i
\(424\) 2.82130 + 1.81314i 0.137014 + 0.0880538i
\(425\) 1.16662 8.11400i 0.0565892 0.393587i
\(426\) 0.342700 2.38353i 0.0166039 0.115482i
\(427\) −2.26268 1.45413i −0.109499 0.0703705i
\(428\) 16.3304 + 18.8462i 0.789358 + 0.910967i
\(429\) 0.0408661 + 0.0894842i 0.00197303 + 0.00432034i
\(430\) −1.10420 + 0.709625i −0.0532492 + 0.0342212i
\(431\) 24.9158 + 7.31593i 1.20015 + 0.352396i 0.819910 0.572492i \(-0.194023\pi\)
0.380240 + 0.924888i \(0.375841\pi\)
\(432\) −1.75278 + 2.02282i −0.0843308 + 0.0973229i
\(433\) −28.9446 + 8.49891i −1.39099 + 0.408432i −0.889581 0.456778i \(-0.849003\pi\)
−0.501410 + 0.865210i \(0.667185\pi\)
\(434\) −0.372381 + 0.815401i −0.0178749 + 0.0391405i
\(435\) 0.465186 + 3.23544i 0.0223040 + 0.155128i
\(436\) 1.16431 0.0557602
\(437\) 0.659366 + 7.38594i 0.0315417 + 0.353318i
\(438\) 2.30827 0.110293
\(439\) 4.28589 + 29.8090i 0.204554 + 1.42271i 0.790553 + 0.612394i \(0.209793\pi\)
−0.585999 + 0.810312i \(0.699298\pi\)
\(440\) 0.293103 0.641805i 0.0139731 0.0305969i
\(441\) −0.959493 + 0.281733i −0.0456901 + 0.0134158i
\(442\) −0.161809 + 0.186737i −0.00769645 + 0.00888218i
\(443\) −27.6756 8.12628i −1.31491 0.386091i −0.452254 0.891889i \(-0.649380\pi\)
−0.862652 + 0.505798i \(0.831198\pi\)
\(444\) 9.21458 5.92185i 0.437305 0.281039i
\(445\) −0.433841 0.949980i −0.0205661 0.0450334i
\(446\) 7.50180 + 8.65754i 0.355220 + 0.409946i
\(447\) 6.44940 + 4.14477i 0.305046 + 0.196041i
\(448\) 0.428340 2.97917i 0.0202372 0.140752i
\(449\) 5.07202 35.2767i 0.239364 1.66481i −0.415900 0.909410i \(-0.636533\pi\)
0.655264 0.755400i \(-0.272558\pi\)
\(450\) −1.61148 1.03563i −0.0759657 0.0488202i
\(451\) 1.08187 + 1.24854i 0.0509432 + 0.0587916i
\(452\) 7.62415 + 16.6946i 0.358610 + 0.785247i
\(453\) −5.43700 + 3.49415i −0.255453 + 0.164169i
\(454\) −9.08021 2.66619i −0.426156 0.125131i
\(455\) 0.164872 0.190272i 0.00772932 0.00892011i
\(456\) −2.67894 + 0.786607i −0.125453 + 0.0368362i
\(457\) −0.879011 + 1.92477i −0.0411184 + 0.0900367i −0.929077 0.369888i \(-0.879396\pi\)
0.887958 + 0.459924i \(0.152123\pi\)
\(458\) 0.855204 + 5.94808i 0.0399611 + 0.277935i
\(459\) 2.04936 0.0956559
\(460\) 6.88673 + 4.96826i 0.321095 + 0.231646i
\(461\) 24.1343 1.12405 0.562023 0.827122i \(-0.310023\pi\)
0.562023 + 0.827122i \(0.310023\pi\)
\(462\) −0.0266299 0.185215i −0.00123894 0.00861699i
\(463\) −2.76919 + 6.06367i −0.128695 + 0.281803i −0.963000 0.269500i \(-0.913142\pi\)
0.834305 + 0.551302i \(0.185869\pi\)
\(464\) −8.39456 + 2.46486i −0.389707 + 0.114428i
\(465\) −1.22579 + 1.41464i −0.0568448 + 0.0656024i
\(466\) 1.33529 + 0.392078i 0.0618563 + 0.0181627i
\(467\) −22.9811 + 14.7691i −1.06344 + 0.683431i −0.950674 0.310191i \(-0.899607\pi\)
−0.112765 + 0.993622i \(0.535971\pi\)
\(468\) −0.185189 0.405508i −0.00856038 0.0187446i
\(469\) 0.530047 + 0.611707i 0.0244753 + 0.0282460i
\(470\) 0.999488 + 0.642332i 0.0461029 + 0.0296286i
\(471\) −0.488347 + 3.39653i −0.0225019 + 0.156504i
\(472\) −1.11949 + 7.78625i −0.0515289 + 0.358391i
\(473\) 0.900934 + 0.578995i 0.0414250 + 0.0266222i
\(474\) −5.31121 6.12946i −0.243952 0.281535i
\(475\) 2.56926 + 5.62589i 0.117886 + 0.258134i
\(476\) −3.05268 + 1.96184i −0.139919 + 0.0899206i
\(477\) 1.78201 + 0.523244i 0.0815924 + 0.0239577i
\(478\) 0.725029 0.836729i 0.0331621 0.0382711i
\(479\) −21.4351 + 6.29391i −0.979394 + 0.287576i −0.731974 0.681332i \(-0.761401\pi\)
−0.247420 + 0.968908i \(0.579583\pi\)
\(480\) −2.03274 + 4.45107i −0.0927813 + 0.203163i
\(481\) 0.221646 + 1.54158i 0.0101062 + 0.0702902i
\(482\) −8.03923 −0.366177
\(483\) 4.78890 + 0.257712i 0.217903 + 0.0117263i
\(484\) 19.2070 0.873044
\(485\) 1.32180 + 9.19333i 0.0600199 + 0.417448i
\(486\) 0.198939 0.435615i 0.00902404 0.0197599i
\(487\) −28.3866 + 8.33504i −1.28632 + 0.377697i −0.852227 0.523172i \(-0.824748\pi\)
−0.434091 + 0.900869i \(0.642930\pi\)
\(488\) −3.18053 + 3.67053i −0.143976 + 0.166157i
\(489\) 10.0579 + 2.95326i 0.454834 + 0.133551i
\(490\) −0.402869 + 0.258908i −0.0181998 + 0.0116963i
\(491\) 0.525598 + 1.15090i 0.0237199 + 0.0519394i 0.921121 0.389276i \(-0.127275\pi\)
−0.897401 + 0.441215i \(0.854547\pi\)
\(492\) −4.90262 5.65792i −0.221027 0.255079i
\(493\) 5.63536 + 3.62163i 0.253804 + 0.163110i
\(494\) 0.0265308 0.184526i 0.00119368 0.00830222i
\(495\) 0.0556075 0.386758i 0.00249937 0.0173835i
\(496\) −4.21478 2.70867i −0.189249 0.121623i
\(497\) 3.29288 + 3.80018i 0.147706 + 0.170462i
\(498\) −1.98181 4.33956i −0.0888071 0.194460i
\(499\) 12.4300 7.98830i 0.556445 0.357605i −0.231995 0.972717i \(-0.574525\pi\)
0.788440 + 0.615112i \(0.210889\pi\)
\(500\) 15.2904 + 4.48968i 0.683810 + 0.200785i
\(501\) 10.0243 11.5687i 0.447854 0.516851i
\(502\) 3.59841 1.05659i 0.160605 0.0471578i
\(503\) 14.3969 31.5248i 0.641926 1.40562i −0.256520 0.966539i \(-0.582576\pi\)
0.898446 0.439083i \(-0.144697\pi\)
\(504\) 0.256983 + 1.78736i 0.0114469 + 0.0796153i
\(505\) −8.95086 −0.398308
\(506\) −0.175260 + 0.880115i −0.00779128 + 0.0391259i
\(507\) −12.9366 −0.574535
\(508\) 2.88124 + 20.0395i 0.127834 + 0.889107i
\(509\) −6.35173 + 13.9083i −0.281535 + 0.616476i −0.996583 0.0825996i \(-0.973678\pi\)
0.715048 + 0.699076i \(0.246405\pi\)
\(510\) 0.941666 0.276498i 0.0416977 0.0122435i
\(511\) −3.15644 + 3.64273i −0.139633 + 0.161145i
\(512\) −21.8415 6.41324i −0.965266 0.283428i
\(513\) −1.30075 + 0.835939i −0.0574294 + 0.0369076i
\(514\) 1.73148 + 3.79141i 0.0763723 + 0.167232i
\(515\) 0.149546 + 0.172586i 0.00658980 + 0.00760503i
\(516\) −4.08269 2.62378i −0.179730 0.115506i
\(517\) 0.137958 0.959518i 0.00606738 0.0421996i
\(518\) 0.421599 2.93229i 0.0185240 0.128837i
\(519\) −19.4060 12.4715i −0.851831 0.547438i
\(520\) −0.297716 0.343582i −0.0130557 0.0150671i
\(521\) 0.411285 + 0.900589i 0.0180187 + 0.0394555i 0.918427 0.395590i \(-0.129460\pi\)
−0.900409 + 0.435045i \(0.856732\pi\)
\(522\) 1.31686 0.846297i 0.0576375 0.0370414i
\(523\) 38.0879 + 11.1836i 1.66547 + 0.489025i 0.972686 0.232124i \(-0.0745676\pi\)
0.692780 + 0.721149i \(0.256386\pi\)
\(524\) 3.83835 4.42970i 0.167679 0.193512i
\(525\) 3.83797 1.12693i 0.167503 0.0491833i
\(526\) 0.351322 0.769287i 0.0153183 0.0335425i
\(527\) 0.545930 + 3.79702i 0.0237811 + 0.165401i
\(528\) 1.04583 0.0455140
\(529\) −21.2455 8.81076i −0.923717 0.383077i
\(530\) 0.889415 0.0386337
\(531\) 0.619965 + 4.31195i 0.0269042 + 0.187123i
\(532\) 1.13732 2.49039i 0.0493092 0.107972i
\(533\) 1.02137 0.299901i 0.0442404 0.0129902i
\(534\) −0.327518 + 0.377976i −0.0141731 + 0.0163566i
\(535\) 13.5130 + 3.96778i 0.584219 + 0.171542i
\(536\) 1.22955 0.790186i 0.0531086 0.0341308i
\(537\) −0.599889 1.31357i −0.0258871 0.0566849i
\(538\) 1.66621 + 1.92290i 0.0718352 + 0.0829023i
\(539\) 0.328708 + 0.211248i 0.0141584 + 0.00909908i
\(540\) −0.251992 + 1.75264i −0.0108440 + 0.0754216i
\(541\) 3.77722 26.2712i 0.162396 1.12949i −0.731706 0.681621i \(-0.761275\pi\)
0.894101 0.447865i \(-0.147815\pi\)
\(542\) −9.54487 6.13411i −0.409987 0.263483i
\(543\) −0.240033 0.277013i −0.0103008 0.0118878i
\(544\) 4.16580 + 9.12184i 0.178607 + 0.391096i
\(545\) 0.553170 0.355501i 0.0236952 0.0152280i
\(546\) −0.115685 0.0339682i −0.00495086 0.00145370i
\(547\) −1.55178 + 1.79085i −0.0663492 + 0.0765710i −0.787954 0.615734i \(-0.788859\pi\)
0.721605 + 0.692305i \(0.243405\pi\)
\(548\) −16.1678 + 4.74730i −0.690655 + 0.202795i
\(549\) −1.11732 + 2.44659i −0.0476861 + 0.104418i
\(550\) 0.106520 + 0.740861i 0.00454202 + 0.0315904i
\(551\) −5.05408 −0.215311
\(552\) 1.69129 8.49326i 0.0719862 0.361497i
\(553\) 16.9359 0.720186
\(554\) 2.05376 + 14.2842i 0.0872560 + 0.606879i
\(555\) 2.56977 5.62702i 0.109081 0.238854i
\(556\) −10.2738 + 3.01667i −0.435708 + 0.127935i
\(557\) 12.1178 13.9847i 0.513448 0.592550i −0.438530 0.898716i \(-0.644501\pi\)
0.951978 + 0.306166i \(0.0990463\pi\)
\(558\) 0.860097 + 0.252547i 0.0364108 + 0.0106912i
\(559\) 0.580507 0.373069i 0.0245528 0.0157792i
\(560\) −1.11189 2.43470i −0.0469859 0.102885i
\(561\) −0.524385 0.605172i −0.0221395 0.0255504i
\(562\) −5.21376 3.35068i −0.219929 0.141340i
\(563\) −1.02631 + 7.13814i −0.0432538 + 0.300837i 0.956699 + 0.291080i \(0.0940147\pi\)
−0.999952 + 0.00975630i \(0.996894\pi\)
\(564\) −0.625172 + 4.34817i −0.0263245 + 0.183091i
\(565\) 8.71968 + 5.60380i 0.366840 + 0.235754i
\(566\) −2.83525 3.27205i −0.119174 0.137534i
\(567\) 0.415415 + 0.909632i 0.0174458 + 0.0382010i
\(568\) 7.63850 4.90897i 0.320505 0.205976i
\(569\) −45.5160 13.3647i −1.90813 0.560277i −0.983991 0.178218i \(-0.942967\pi\)
−0.924138 0.382060i \(-0.875215\pi\)
\(570\) −0.484900 + 0.559604i −0.0203102 + 0.0234392i
\(571\) 16.5605 4.86259i 0.693034 0.203493i 0.0837986 0.996483i \(-0.473295\pi\)
0.609235 + 0.792990i \(0.291477\pi\)
\(572\) −0.0723600 + 0.158446i −0.00302553 + 0.00662498i
\(573\) −0.781711 5.43692i −0.0326565 0.227131i
\(574\) −2.02479 −0.0845131
\(575\) −19.1556 1.03085i −0.798844 0.0429894i
\(576\) −3.00980 −0.125409
\(577\) 1.54374 + 10.7370i 0.0642668 + 0.446985i 0.996393 + 0.0848530i \(0.0270421\pi\)
−0.932127 + 0.362132i \(0.882049\pi\)
\(578\) −2.54644 + 5.57593i −0.105918 + 0.231928i
\(579\) −18.7522 + 5.50613i −0.779313 + 0.228827i
\(580\) −3.79020 + 4.37412i −0.157379 + 0.181625i
\(581\) 9.55839 + 2.80660i 0.396549 + 0.116437i
\(582\) 3.74180 2.40471i 0.155102 0.0996783i
\(583\) −0.301462 0.660109i −0.0124853 0.0273389i
\(584\) 5.69971 + 6.57782i 0.235856 + 0.272192i
\(585\) −0.211799 0.136115i −0.00875683 0.00562767i
\(586\) 0.927130 6.44833i 0.0382994 0.266378i
\(587\) 5.65429 39.3264i 0.233377 1.62318i −0.449943 0.893057i \(-0.648556\pi\)
0.683320 0.730119i \(-0.260535\pi\)
\(588\) −1.48958 0.957293i −0.0614291 0.0394781i
\(589\) −1.89532 2.18732i −0.0780954 0.0901269i
\(590\) 0.866635 + 1.89767i 0.0356788 + 0.0781256i
\(591\) −8.84184 + 5.68231i −0.363705 + 0.233739i
\(592\) 15.8867 + 4.66476i 0.652939 + 0.191720i
\(593\) 18.0484 20.8290i 0.741160 0.855345i −0.252520 0.967592i \(-0.581259\pi\)
0.993680 + 0.112247i \(0.0358048\pi\)
\(594\) −0.179540 + 0.0527178i −0.00736662 + 0.00216304i
\(595\) −0.851334 + 1.86416i −0.0349013 + 0.0764232i
\(596\) 1.93187 + 13.4365i 0.0791325 + 0.550379i
\(597\) −17.3201 −0.708866
\(598\) 0.468934 + 0.338301i 0.0191762 + 0.0138342i
\(599\) −1.81467 −0.0741453 −0.0370726 0.999313i \(-0.511803\pi\)
−0.0370726 + 0.999313i \(0.511803\pi\)
\(600\) −1.02793 7.14943i −0.0419652 0.291874i
\(601\) 2.77073 6.06705i 0.113020 0.247480i −0.844666 0.535294i \(-0.820201\pi\)
0.957687 + 0.287813i \(0.0929283\pi\)
\(602\) −1.25940 + 0.369792i −0.0513291 + 0.0150716i
\(603\) 0.530047 0.611707i 0.0215852 0.0249106i
\(604\) −10.9802 3.22408i −0.446778 0.131186i
\(605\) 9.12535 5.86451i 0.370998 0.238426i
\(606\) 1.78067 + 3.89913i 0.0723349 + 0.158391i
\(607\) 17.3716 + 20.0479i 0.705092 + 0.813720i 0.989431 0.145004i \(-0.0463195\pi\)
−0.284339 + 0.958724i \(0.591774\pi\)
\(608\) −6.36490 4.09047i −0.258131 0.165890i
\(609\) −0.465186 + 3.23544i −0.0188503 + 0.131107i
\(610\) −0.183309 + 1.27494i −0.00742195 + 0.0516208i
\(611\) −0.525458 0.337692i −0.0212578 0.0136615i
\(612\) 2.37631 + 2.74241i 0.0960566 + 0.110855i
\(613\) 5.38206 + 11.7851i 0.217379 + 0.475994i 0.986635 0.162947i \(-0.0521000\pi\)
−0.769256 + 0.638941i \(0.779373\pi\)
\(614\) −7.85277 + 5.04667i −0.316912 + 0.203667i
\(615\) −4.05681 1.19119i −0.163586 0.0480333i
\(616\) 0.462048 0.533231i 0.0186164 0.0214845i
\(617\) −22.7817 + 6.68930i −0.917155 + 0.269301i −0.706050 0.708162i \(-0.749524\pi\)
−0.211105 + 0.977463i \(0.567706\pi\)
\(618\) 0.0454303 0.0994786i 0.00182748 0.00400162i
\(619\) 0.645594 + 4.49021i 0.0259486 + 0.180477i 0.998674 0.0514839i \(-0.0163951\pi\)
−0.972725 + 0.231960i \(0.925486\pi\)
\(620\) −3.31440 −0.133109
\(621\) −0.426443 4.77683i −0.0171126 0.191688i
\(622\) 0.981730 0.0393638
\(623\) −0.148627 1.03373i −0.00595463 0.0414154i
\(624\) 0.279936 0.612975i 0.0112064 0.0245386i
\(625\) −10.5544 + 3.09906i −0.422177 + 0.123962i
\(626\) −4.85614 + 5.60429i −0.194090 + 0.223992i
\(627\) 0.579683 + 0.170210i 0.0231503 + 0.00679754i
\(628\) −5.11142 + 3.28491i −0.203968 + 0.131082i
\(629\) −5.26639 11.5318i −0.209985 0.459802i
\(630\) 0.313607 + 0.361922i 0.0124944 + 0.0144193i
\(631\) 13.6769 + 8.78959i 0.544468 + 0.349908i 0.783784 0.621033i \(-0.213287\pi\)
−0.239316 + 0.970942i \(0.576923\pi\)
\(632\) 4.35223 30.2704i 0.173123 1.20409i
\(633\) 0.786601 5.47093i 0.0312646 0.217450i
\(634\) −5.49040 3.52846i −0.218052 0.140133i
\(635\) 7.48759 + 8.64114i 0.297136 + 0.342913i
\(636\) 1.36611 + 2.99136i 0.0541697 + 0.118615i
\(637\) 0.211799 0.136115i 0.00839180 0.00539308i
\(638\) −0.586865 0.172319i −0.0232342 0.00682218i
\(639\) 3.29288 3.80018i 0.130264 0.150333i
\(640\) −10.7731 + 3.16326i −0.425844 + 0.125039i
\(641\) 16.4581 36.0381i 0.650054 1.42342i −0.241452 0.970413i \(-0.577624\pi\)
0.891507 0.453008i \(-0.149649\pi\)
\(642\) −0.959838 6.67582i −0.0378818 0.263474i
\(643\) −8.61003 −0.339546 −0.169773 0.985483i \(-0.554304\pi\)
−0.169773 + 0.985483i \(0.554304\pi\)
\(644\) 5.20805 + 6.70723i 0.205226 + 0.264302i
\(645\) −2.74084 −0.107920
\(646\) 0.215959 + 1.50203i 0.00849679 + 0.0590965i
\(647\) −9.11327 + 19.9553i −0.358280 + 0.784523i 0.641568 + 0.767066i \(0.278284\pi\)
−0.999848 + 0.0174569i \(0.994443\pi\)
\(648\) 1.73259 0.508735i 0.0680627 0.0199850i
\(649\) 1.11468 1.28640i 0.0437549 0.0504958i
\(650\) 0.462740 + 0.135873i 0.0181501 + 0.00532936i
\(651\) −1.57469 + 1.01199i −0.0617170 + 0.0396631i
\(652\) 7.71051 + 16.8837i 0.301967 + 0.661215i
\(653\) −6.39089 7.37548i −0.250095 0.288625i 0.616796 0.787123i \(-0.288430\pi\)
−0.866891 + 0.498498i \(0.833885\pi\)
\(654\) −0.264909 0.170246i −0.0103587 0.00665716i
\(655\) 0.471097 3.27655i 0.0184073 0.128025i
\(656\) 1.61054 11.2016i 0.0628811 0.437348i
\(657\) 4.05486 + 2.60590i 0.158195 + 0.101666i
\(658\) 0.778036 + 0.897901i 0.0303310 + 0.0350038i
\(659\) −19.8707 43.5108i −0.774054 1.69494i −0.717517 0.696541i \(-0.754721\pi\)
−0.0565375 0.998400i \(-0.518006\pi\)
\(660\) 0.582030 0.374048i 0.0226555 0.0145598i
\(661\) 14.0244 + 4.11794i 0.545486 + 0.160169i 0.542854 0.839827i \(-0.317344\pi\)
0.00263251 + 0.999997i \(0.499162\pi\)
\(662\) −0.738306 + 0.852051i −0.0286951 + 0.0331159i
\(663\) −0.495060 + 0.145363i −0.0192265 + 0.00564542i
\(664\) 7.47274 16.3630i 0.289999 0.635009i
\(665\) −0.220047 1.53046i −0.00853307 0.0593488i
\(666\) −2.96244 −0.114792
\(667\) 7.26898 13.8890i 0.281456 0.537785i
\(668\) 27.1046 1.04871
\(669\) 3.40431 + 23.6775i 0.131618 + 0.915426i
\(670\) 0.161022 0.352589i 0.00622082 0.0136217i
\(671\) 1.00837 0.296084i 0.0389277 0.0114302i
\(672\) −3.20441 + 3.69808i −0.123613 + 0.142657i
\(673\) −8.22431 2.41488i −0.317024 0.0930866i 0.119349 0.992852i \(-0.461919\pi\)
−0.436373 + 0.899766i \(0.643737\pi\)
\(674\) −9.14460 + 5.87688i −0.352237 + 0.226369i
\(675\) −1.66166 3.63853i −0.0639573 0.140047i
\(676\) −15.0005 17.3115i −0.576942 0.665827i
\(677\) −1.91038 1.22772i −0.0734217 0.0471853i 0.503415 0.864045i \(-0.332077\pi\)
−0.576837 + 0.816860i \(0.695713\pi\)
\(678\) 0.706417 4.91324i 0.0271298 0.188692i
\(679\) −1.32180 + 9.19333i −0.0507261 + 0.352808i
\(680\) 3.11315 + 2.00070i 0.119384 + 0.0767233i
\(681\) −12.9409 14.9347i −0.495898 0.572297i
\(682\) −0.145503 0.318606i −0.00557158 0.0122001i
\(683\) 32.4859 20.8774i 1.24304 0.798853i 0.257170 0.966366i \(-0.417210\pi\)
0.985870 + 0.167513i \(0.0535737\pi\)
\(684\) −2.62690 0.771327i −0.100442 0.0294924i
\(685\) −6.23194 + 7.19204i −0.238110 + 0.274794i
\(686\) −0.459493 + 0.134919i −0.0175435 + 0.00515124i
\(687\) −5.21272 + 11.4143i −0.198878 + 0.435482i
\(688\) −1.04403 7.26138i −0.0398032 0.276837i
\(689\) −0.467590 −0.0178138
\(690\) −0.840435 2.13739i −0.0319948 0.0813689i
\(691\) 44.1124 1.67812 0.839058 0.544042i \(-0.183107\pi\)
0.839058 + 0.544042i \(0.183107\pi\)
\(692\) −5.81294 40.4299i −0.220975 1.53691i
\(693\) 0.162317 0.355426i 0.00616593 0.0135015i
\(694\) 9.79046 2.87474i 0.371641 0.109124i
\(695\) −3.96008 + 4.57018i −0.150214 + 0.173357i
\(696\) 5.66335 + 1.66291i 0.214669 + 0.0630324i
\(697\) −7.28934 + 4.68457i −0.276103 + 0.177441i
\(698\) 5.37505 + 11.7697i 0.203449 + 0.445490i
\(699\) 1.90304 + 2.19622i 0.0719794 + 0.0830687i
\(700\) 5.95831 + 3.82917i 0.225203 + 0.144729i
\(701\) 3.56597 24.8019i 0.134685 0.936754i −0.804649 0.593750i \(-0.797647\pi\)
0.939334 0.343003i \(-0.111444\pi\)
\(702\) −0.0171587 + 0.119342i −0.000647614 + 0.00450426i
\(703\) 8.04647 + 5.17115i 0.303478 + 0.195034i
\(704\) 0.770141 + 0.888790i 0.0290258 + 0.0334975i
\(705\) 1.03061 + 2.25673i 0.0388151 + 0.0849933i
\(706\) −10.6531 + 6.84634i −0.400935 + 0.257665i
\(707\) −8.58829 2.52175i −0.322996 0.0948401i
\(708\) −5.05128 + 5.82949i −0.189839 + 0.219086i
\(709\) 13.9531 4.09700i 0.524020 0.153866i −0.00901521 0.999959i \(-0.502870\pi\)
0.533035 + 0.846093i \(0.321051\pi\)
\(710\) 1.00034 2.19043i 0.0375419 0.0822054i
\(711\) −2.41022 16.7635i −0.0903904 0.628679i
\(712\) −1.88583 −0.0706746
\(713\) 8.73685 2.06261i 0.327198 0.0772454i
\(714\) 0.981420 0.0367287
\(715\) 0.0140001 + 0.0973728i 0.000523574 + 0.00364154i
\(716\) 1.06220 2.32590i 0.0396963 0.0869228i
\(717\) 2.21825 0.651338i 0.0828422 0.0243247i
\(718\) 2.34265 2.70356i 0.0874268 0.100896i
\(719\) −26.0479 7.64836i −0.971423 0.285236i −0.242744 0.970090i \(-0.578047\pi\)
−0.728679 + 0.684855i \(0.759866\pi\)
\(720\) −2.25168 + 1.44706i −0.0839150 + 0.0539289i
\(721\) 0.0948656 + 0.207727i 0.00353298 + 0.00773615i
\(722\) 5.20878 + 6.01126i 0.193851 + 0.223716i
\(723\) −14.1223 9.07583i −0.525213 0.337534i
\(724\) 0.0923653 0.642415i 0.00343273 0.0238751i
\(725\) 1.86075 12.9418i 0.0691063 0.480645i
\(726\) −4.37005 2.80846i −0.162188 0.104232i
\(727\) −4.94558 5.70751i −0.183421 0.211680i 0.656591 0.754247i \(-0.271998\pi\)
−0.840012 + 0.542567i \(0.817452\pi\)
\(728\) −0.188858 0.413541i −0.00699953 0.0153268i
\(729\) 0.841254 0.540641i 0.0311575 0.0200237i
\(730\) 2.21477 + 0.650314i 0.0819722 + 0.0240692i
\(731\) −3.67832 + 4.24501i −0.136048 + 0.157007i
\(732\) −4.56955 + 1.34174i −0.168895 + 0.0495922i
\(733\) 3.04093 6.65872i 0.112319 0.245945i −0.845122 0.534574i \(-0.820472\pi\)
0.957441 + 0.288629i \(0.0931993\pi\)
\(734\) 2.01490 + 14.0140i 0.0743715 + 0.517265i
\(735\) −1.00000 −0.0368856
\(736\) 20.3952 11.6082i 0.751776 0.427883i
\(737\) −0.316263 −0.0116497
\(738\) 0.288158 + 2.00418i 0.0106072 + 0.0737749i
\(739\) −1.94195 + 4.25228i −0.0714358 + 0.156423i −0.941981 0.335665i \(-0.891039\pi\)
0.870545 + 0.492088i \(0.163766\pi\)
\(740\) 10.5097 3.08593i 0.386344 0.113441i
\(741\) 0.254925 0.294199i 0.00936491 0.0108077i
\(742\) 0.853387 + 0.250577i 0.0313288 + 0.00919897i
\(743\) 11.7661 7.56164i 0.431658 0.277409i −0.306716 0.951801i \(-0.599230\pi\)
0.738374 + 0.674391i \(0.235594\pi\)
\(744\) 1.40412 + 3.07460i 0.0514777 + 0.112720i
\(745\) 5.02043 + 5.79389i 0.183934 + 0.212272i
\(746\) −0.146517 0.0941607i −0.00536437 0.00344747i
\(747\) 1.41773 9.86052i 0.0518720 0.360778i
\(748\) 0.201784 1.40344i 0.00737796 0.0513148i
\(749\) 11.8478 + 7.61412i 0.432909 + 0.278214i
\(750\) −2.82246 3.25730i −0.103062 0.118940i
\(751\) −1.46915 3.21700i −0.0536102 0.117390i 0.880931 0.473244i \(-0.156917\pi\)
−0.934541 + 0.355854i \(0.884190\pi\)
\(752\) −5.58624 + 3.59006i −0.203709 + 0.130916i
\(753\) 7.51404 + 2.20632i 0.273827 + 0.0804028i
\(754\) −0.258084 + 0.297844i −0.00939885 + 0.0108469i
\(755\) −6.20118 + 1.82083i −0.225684 + 0.0662668i
\(756\) −0.735560 + 1.61065i −0.0267521 + 0.0585788i
\(757\) 1.14142 + 7.93872i 0.0414854 + 0.288538i 0.999994 + 0.00347374i \(0.00110573\pi\)
−0.958509 + 0.285064i \(0.907985\pi\)
\(758\) −8.14929 −0.295995
\(759\) −1.30147 + 1.34821i −0.0472405 + 0.0489370i
\(760\) −2.79203 −0.101278
\(761\) 4.49024 + 31.2303i 0.162771 + 1.13210i 0.893380 + 0.449302i \(0.148327\pi\)
−0.730609 + 0.682796i \(0.760764\pi\)
\(762\) 2.27464 4.98076i 0.0824015 0.180434i
\(763\) 0.630919 0.185255i 0.0228408 0.00670667i
\(764\) 6.36914 7.35038i 0.230428 0.265928i
\(765\) 1.96635 + 0.577371i 0.0710934 + 0.0208749i
\(766\) 13.0821 8.40738i 0.472677 0.303771i
\(767\) −0.455614 0.997655i −0.0164513 0.0360232i
\(768\) −0.420855 0.485693i −0.0151863 0.0175259i
\(769\) −21.8610 14.0492i −0.788328 0.506628i 0.0834600 0.996511i \(-0.473403\pi\)
−0.871788 + 0.489884i \(0.837039\pi\)
\(770\) 0.0266299 0.185215i 0.000959676 0.00667470i
\(771\) −1.23865 + 8.61499i −0.0446088 + 0.310261i
\(772\) −29.1120 18.7092i −1.04776 0.673357i
\(773\) 26.2606 + 30.3064i 0.944529 + 1.09005i 0.995818 + 0.0913611i \(0.0291218\pi\)
−0.0512884 + 0.998684i \(0.516333\pi\)
\(774\) 0.545258 + 1.19395i 0.0195989 + 0.0429156i
\(775\) 6.29876 4.04797i 0.226258 0.145407i
\(776\) 16.0921 + 4.72507i 0.577673 + 0.169620i
\(777\) 4.05099 4.67510i 0.145329 0.167718i
\(778\) 4.52913 1.32987i 0.162377 0.0476782i
\(779\) 2.71576 5.94668i 0.0973021 0.213062i
\(780\) −0.0634430 0.441256i −0.00227162 0.0157995i
\(781\) −1.96476 −0.0703046
\(782\) −4.43829 1.56680i −0.158713 0.0560287i
\(783\) 3.26871 0.116814
\(784\) −0.380916 2.64933i −0.0136041 0.0946189i
\(785\) −1.42548 + 3.12136i −0.0508775 + 0.111406i
\(786\) −1.52103 + 0.446616i −0.0542535 + 0.0159303i
\(787\) −1.37399 + 1.58567i −0.0489775 + 0.0565231i −0.779710 0.626141i \(-0.784633\pi\)
0.730732 + 0.682664i \(0.239179\pi\)
\(788\) −17.8564 5.24311i −0.636107 0.186778i
\(789\) 1.48564 0.954760i 0.0528900 0.0339904i
\(790\) −3.36920 7.37751i −0.119871 0.262480i
\(791\) 6.78770 + 7.83342i 0.241343 + 0.278524i
\(792\) −0.593560 0.381458i −0.0210912 0.0135545i
\(793\) 0.0963704 0.670271i 0.00342221 0.0238020i
\(794\) 0.701461 4.87877i 0.0248939 0.173141i
\(795\) 1.56241 + 1.00410i 0.0554129 + 0.0356117i
\(796\) −20.0833 23.1774i −0.711835 0.821502i
\(797\) 7.11074 + 15.5703i 0.251875 + 0.551530i 0.992762 0.120100i \(-0.0383216\pi\)
−0.740886 + 0.671630i \(0.765594\pi\)
\(798\) −0.622916 + 0.400324i −0.0220510 + 0.0141713i
\(799\) 4.87835 + 1.43241i 0.172584 + 0.0506752i
\(800\) 12.8176 14.7923i 0.453172 0.522988i
\(801\) −1.00205 + 0.294229i −0.0354058 + 0.0103961i
\(802\) 3.70688 8.11695i 0.130895 0.286619i
\(803\) −0.268029 1.86418i −0.00945854 0.0657856i
\(804\) 1.43318 0.0505444
\(805\) 4.52231 + 1.59646i 0.159391 + 0.0562679i
\(806\) −0.225685 −0.00794943
\(807\) 0.756124 + 5.25896i 0.0266168 + 0.185124i
\(808\) −6.71431 + 14.7023i −0.236209 + 0.517225i
\(809\) −18.0760 + 5.30760i −0.635519 + 0.186605i −0.583594 0.812046i \(-0.698354\pi\)
−0.0519251 + 0.998651i \(0.516536\pi\)
\(810\) 0.313607 0.361922i 0.0110190 0.0127166i
\(811\) 24.5435 + 7.20663i 0.861840 + 0.253059i 0.682641 0.730754i \(-0.260831\pi\)
0.179199 + 0.983813i \(0.442649\pi\)
\(812\) −4.86900 + 3.12911i −0.170868 + 0.109810i
\(813\) −9.84211 21.5512i −0.345178 0.755834i
\(814\) 0.758022 + 0.874804i 0.0265686 + 0.0306619i
\(815\) 8.81845 + 5.66727i 0.308897 + 0.198516i
\(816\) −0.780634 + 5.42943i −0.0273277 + 0.190068i
\(817\) 0.603114 4.19475i 0.0211003 0.146756i
\(818\) 2.52438 + 1.62232i 0.0882629 + 0.0567231i
\(819\) −0.164872 0.190272i −0.00576109 0.00664865i
\(820\) −3.11000 6.80996i −0.108606 0.237814i
\(821\) 25.5602 16.4266i 0.892058 0.573291i −0.0123670 0.999924i \(-0.503937\pi\)
0.904425 + 0.426633i \(0.140300\pi\)
\(822\) 4.37273 + 1.28395i 0.152517 + 0.0447829i
\(823\) 3.17698 3.66643i 0.110743 0.127804i −0.697672 0.716417i \(-0.745781\pi\)
0.808414 + 0.588614i \(0.200326\pi\)
\(824\) 0.395661 0.116177i 0.0137835 0.00404720i
\(825\) −0.649270 + 1.42170i −0.0226047 + 0.0494973i
\(826\) 0.296896 + 2.06496i 0.0103303 + 0.0718490i
\(827\) −38.9096 −1.35302 −0.676510 0.736433i \(-0.736508\pi\)
−0.676510 + 0.736433i \(0.736508\pi\)
\(828\) 5.89778 6.10958i 0.204962 0.212322i
\(829\) 24.6851 0.857350 0.428675 0.903459i \(-0.358981\pi\)
0.428675 + 0.903459i \(0.358981\pi\)
\(830\) −0.678938 4.72212i −0.0235663 0.163907i
\(831\) −12.5183 + 27.4112i −0.434255 + 0.950885i
\(832\) 0.727073 0.213488i 0.0252067 0.00740136i
\(833\) −1.34204 + 1.54880i −0.0464991 + 0.0536628i
\(834\) 2.77865 + 0.815885i 0.0962168 + 0.0282518i
\(835\) 12.8776 8.27590i 0.445646 0.286399i
\(836\) 0.444393 + 0.973084i 0.0153696 + 0.0336548i
\(837\) 1.22579 + 1.41464i 0.0423696 + 0.0488972i
\(838\) 7.59358 + 4.88010i 0.262316 + 0.168580i
\(839\) −1.14897 + 7.99129i −0.0396670 + 0.275890i −0.999996 0.00298102i \(-0.999051\pi\)
0.960329 + 0.278871i \(0.0899602\pi\)
\(840\) −0.256983 + 1.78736i −0.00886677 + 0.0616697i
\(841\) −15.4080 9.90212i −0.531310 0.341452i
\(842\) −10.1408 11.7031i −0.349475 0.403316i
\(843\) −5.37613 11.7721i −0.185164 0.405452i
\(844\) 8.23317 5.29114i 0.283398 0.182129i
\(845\) −12.4126 3.64467i −0.427006 0.125380i
\(846\) 0.778036 0.897901i 0.0267494 0.0308705i
\(847\) 10.4079 3.05604i 0.357621 0.105007i
\(848\) −2.06504 + 4.52181i −0.0709138 + 0.155280i
\(849\) −1.28663 8.94873i −0.0441572 0.307120i
\(850\) −3.92568 −0.134650
\(851\) −25.7835 + 14.6750i −0.883846 + 0.503052i
\(852\) 8.90354 0.305030
\(853\) 2.85897 + 19.8846i 0.0978893 + 0.680835i 0.978387 + 0.206784i \(0.0662997\pi\)
−0.880497 + 0.474051i \(0.842791\pi\)
\(854\) −0.535075 + 1.17165i −0.0183099 + 0.0400931i
\(855\) −1.48357 + 0.435615i −0.0507370 + 0.0148977i
\(856\) 16.6538 19.2196i 0.569217 0.656911i
\(857\) −39.3762 11.5619i −1.34506 0.394947i −0.471591 0.881818i \(-0.656320\pi\)
−0.873474 + 0.486871i \(0.838138\pi\)
\(858\) 0.0396319 0.0254699i 0.00135301 0.000869527i
\(859\) 7.94816 + 17.4040i 0.271188 + 0.593818i 0.995405 0.0957535i \(-0.0305260\pi\)
−0.724217 + 0.689572i \(0.757799\pi\)
\(860\) −3.17810 3.66773i −0.108372 0.125068i
\(861\) −3.55689 2.28587i −0.121218 0.0779023i
\(862\) 1.76978 12.3091i 0.0602790 0.419250i
\(863\) 2.53986 17.6651i 0.0864579 0.601328i −0.899823 0.436254i \(-0.856305\pi\)
0.986281 0.165073i \(-0.0527861\pi\)
\(864\) 4.11648 + 2.64550i 0.140045 + 0.0900017i
\(865\) −15.1063 17.4336i −0.513631 0.592761i
\(866\) 6.00130 + 13.1410i 0.203933 + 0.446550i
\(867\) −10.7682 + 6.92027i −0.365706 + 0.235025i
\(868\) −3.18014 0.933773i −0.107941 0.0316943i
\(869\) −4.33350 + 5.00113i −0.147004 + 0.169652i
\(870\) 1.50195 0.441012i 0.0509209 0.0149517i
\(871\) −0.0846536 + 0.185366i −0.00286838 + 0.00628087i
\(872\) −0.168981 1.17529i −0.00572241 0.0398002i
\(873\) 9.28787 0.314347
\(874\) 3.45612 0.815927i 0.116905 0.0275992i
\(875\) 9.00000 0.304256
\(876\) 1.21461 + 8.44776i 0.0410377 + 0.285424i
\(877\) 1.72247 3.77168i 0.0581637 0.127361i −0.878318 0.478076i \(-0.841334\pi\)
0.936482 + 0.350715i \(0.114062\pi\)
\(878\) 13.8379 4.06317i 0.467006 0.137125i
\(879\) 8.90846 10.2809i 0.300475 0.346766i
\(880\) 1.00347 + 0.294645i 0.0338269 + 0.00993248i
\(881\) 8.60780 5.53189i 0.290004 0.186374i −0.387547 0.921850i \(-0.626678\pi\)
0.677551 + 0.735476i \(0.263041\pi\)
\(882\) 0.198939 + 0.435615i 0.00669861 + 0.0146679i
\(883\) 5.21120 + 6.01404i 0.175371 + 0.202389i 0.836629 0.547769i \(-0.184523\pi\)
−0.661259 + 0.750158i \(0.729977\pi\)
\(884\) −0.768562 0.493925i −0.0258495 0.0166125i
\(885\) −0.619965 + 4.31195i −0.0208399 + 0.144945i
\(886\) −1.96581 + 13.6725i −0.0660427 + 0.459337i
\(887\) 18.2719 + 11.7426i 0.613509 + 0.394278i 0.810171 0.586193i \(-0.199374\pi\)
−0.196663 + 0.980471i \(0.563010\pi\)
\(888\) −7.31504 8.44200i −0.245477 0.283295i
\(889\) 4.74980 + 10.4006i 0.159303 + 0.348825i
\(890\) −0.420739 + 0.270393i −0.0141032 + 0.00906358i
\(891\) −0.374908 0.110083i −0.0125599 0.00368792i
\(892\) −27.7373 + 32.0105i −0.928713 + 1.07179i
\(893\) −3.68062 + 1.08073i −0.123167 + 0.0361652i
\(894\) 1.52515 3.33960i 0.0510085 0.111693i
\(895\) −0.205513 1.42937i −0.00686954 0.0477787i
\(896\) −11.2279 −0.375098
\(897\) 0.441840 + 1.12368i 0.0147526 + 0.0375187i
\(898\) −17.0674 −0.569548
\(899\) 0.870754 + 6.05623i 0.0290413 + 0.201986i
\(900\) 2.94224 6.44261i 0.0980747 0.214754i
\(901\) 3.65197 1.07231i 0.121665 0.0357240i
\(902\) 0.518098 0.597917i 0.0172508 0.0199085i
\(903\) −2.62981 0.772183i −0.0875147 0.0256966i
\(904\) 15.7455 10.1190i 0.523686 0.336553i
\(905\) −0.152267 0.333417i −0.00506151 0.0110832i
\(906\) 2.02684 + 2.33909i 0.0673371 + 0.0777111i
\(907\) 25.6288 + 16.4706i 0.850990 + 0.546898i 0.891883 0.452265i \(-0.149384\pi\)
−0.0408934 + 0.999164i \(0.513020\pi\)
\(908\) 4.97970 34.6346i 0.165257 1.14939i
\(909\) −1.27384 + 8.85975i −0.0422506 + 0.293859i
\(910\) −0.101429 0.0651844i −0.00336234 0.00216084i
\(911\) 18.6477 + 21.5205i 0.617825 + 0.713008i 0.975292 0.220918i \(-0.0709053\pi\)
−0.357468 + 0.933925i \(0.616360\pi\)
\(912\) −1.71920 3.76453i −0.0569285 0.124656i
\(913\) −3.27456 + 2.10443i −0.108372 + 0.0696465i
\(914\) 0.972279 + 0.285487i 0.0321601 + 0.00944307i
\(915\) −1.76135 + 2.03270i −0.0582283 + 0.0671990i
\(916\) −21.3187 + 6.25973i −0.704389 + 0.206827i
\(917\) 1.37513 3.01110i 0.0454106 0.0994354i
\(918\) −0.139671 0.971431i −0.00460982 0.0320620i
\(919\) 3.90809 0.128916 0.0644579 0.997920i \(-0.479468\pi\)
0.0644579 + 0.997920i \(0.479468\pi\)
\(920\) 4.01561 7.67273i 0.132391 0.252962i
\(921\) −19.4921 −0.642287
\(922\) −1.64483 11.4401i −0.0541697 0.376758i
\(923\) −0.525904 + 1.15157i −0.0173103 + 0.0379044i
\(924\) 0.663836 0.194920i 0.0218386 0.00641239i
\(925\) −16.2040 + 18.7004i −0.532784 + 0.614865i
\(926\) 3.06301 + 0.899382i 0.100657 + 0.0295555i
\(927\) 0.192112 0.123463i 0.00630977 0.00405505i
\(928\) 6.64443 + 14.5493i 0.218114 + 0.477603i
\(929\) −24.8422 28.6694i −0.815046 0.940614i 0.184059 0.982915i \(-0.441076\pi\)
−0.999105 + 0.0423016i \(0.986531\pi\)
\(930\) 0.754106 + 0.484635i 0.0247281 + 0.0158918i
\(931\) 0.220047 1.53046i 0.00721176 0.0501589i
\(932\) −0.732292 + 5.09320i −0.0239870 + 0.166833i
\(933\) 1.72457 + 1.10832i 0.0564600 + 0.0362846i
\(934\) 8.56703 + 9.88688i 0.280322 + 0.323508i
\(935\) −0.332647 0.728395i −0.0108787 0.0238210i
\(936\) −0.382454 + 0.245788i −0.0125009 + 0.00803385i
\(937\) −2.96857 0.871652i −0.0969790 0.0284756i 0.232883 0.972505i \(-0.425184\pi\)
−0.329862 + 0.944029i \(0.607002\pi\)
\(938\) 0.253835 0.292941i 0.00828801 0.00956487i
\(939\) −14.8575 + 4.36257i −0.484858 + 0.142367i
\(940\) −1.82487 + 3.99590i −0.0595207 + 0.130332i
\(941\) 8.23500 + 57.2757i 0.268453 + 1.86713i 0.463164 + 0.886272i \(0.346714\pi\)
−0.194711 + 0.980861i \(0.562377\pi\)
\(942\) 1.64330 0.0535415
\(943\) 12.4360 + 16.0159i 0.404973 + 0.521548i
\(944\) −11.6599 −0.379498
\(945\) 0.142315 + 0.989821i 0.00462950 + 0.0321989i
\(946\) 0.213052 0.466518i 0.00692691 0.0151678i
\(947\) −19.7207 + 5.79051i −0.640836 + 0.188166i −0.585977 0.810328i \(-0.699289\pi\)
−0.0548590 + 0.998494i \(0.517471\pi\)
\(948\) 19.6378 22.6632i 0.637805 0.736066i
\(949\) −1.16436 0.341888i −0.0377968 0.0110982i
\(950\) 2.49167 1.60130i 0.0808403 0.0519529i
\(951\) −5.66138 12.3967i −0.183583 0.401990i
\(952\) 2.42338 + 2.79673i 0.0785422 + 0.0906426i
\(953\) −3.38496 2.17538i −0.109649 0.0704674i 0.484667 0.874699i \(-0.338941\pi\)
−0.594316 + 0.804231i \(0.702577\pi\)
\(954\) 0.126577 0.880362i 0.00409808 0.0285028i
\(955\) 0.781711 5.43692i 0.0252956 0.175935i
\(956\) 3.44376 + 2.21317i 0.111379 + 0.0715790i
\(957\) −0.836390 0.965245i −0.0270366 0.0312019i
\(958\) 4.44429 + 9.73165i 0.143589 + 0.314415i
\(959\) −8.00573 + 5.14497i −0.258518 + 0.166140i
\(960\) −2.88789 0.847960i −0.0932061 0.0273678i
\(961\) 18.0062 20.7803i 0.580845 0.670331i
\(962\) 0.715631 0.210128i 0.0230729 0.00677481i
\(963\) 5.85050 12.8108i 0.188530 0.412823i
\(964\) −4.23023 29.4219i −0.136246 0.947615i
\(965\) −19.5438 −0.629138
\(966\) −0.204220 2.28759i −0.00657066 0.0736018i
\(967\) −19.6523 −0.631976 −0.315988 0.948763i \(-0.602336\pi\)
−0.315988 + 0.948763i \(0.602336\pi\)
\(968\) −2.78758 19.3881i −0.0895963 0.623156i
\(969\) −1.31633 + 2.88237i −0.0422867 + 0.0925950i
\(970\) 4.26771 1.25311i 0.137028 0.0402350i
\(971\) −17.8654 + 20.6178i −0.573327 + 0.661655i −0.966157 0.257956i \(-0.916951\pi\)
0.392829 + 0.919611i \(0.371496\pi\)
\(972\) 1.69894 + 0.498853i 0.0544935 + 0.0160007i
\(973\) −5.08724 + 3.26937i −0.163089 + 0.104811i
\(974\) 5.88559 + 12.8876i 0.188587 + 0.412947i
\(975\) 0.659488 + 0.761089i 0.0211205 + 0.0243744i
\(976\) −6.05622 3.89210i −0.193855 0.124583i
\(977\) −3.42780 + 23.8409i −0.109665 + 0.762738i 0.858570 + 0.512696i \(0.171353\pi\)
−0.968235 + 0.250042i \(0.919556\pi\)
\(978\) 0.714418 4.96889i 0.0228446 0.158887i
\(979\) 0.343288 + 0.220618i 0.0109715 + 0.00705097i
\(980\) −1.15954 1.33818i −0.0370401 0.0427465i
\(981\) −0.273158 0.598133i −0.00872127 0.0190969i
\(982\) 0.509725 0.327580i 0.0162660 0.0104535i
\(983\) −44.9354 13.1942i −1.43322 0.420831i −0.529263 0.848458i \(-0.677531\pi\)
−0.903955 + 0.427627i \(0.859350\pi\)
\(984\) −4.99973 + 5.77000i −0.159386 + 0.183941i
\(985\) −10.0846 + 2.96110i −0.321321 + 0.0943484i
\(986\) 1.33264 2.91808i 0.0424400 0.0929307i
\(987\) 0.353072 + 2.45567i 0.0112384 + 0.0781649i
\(988\) 0.689286 0.0219291
\(989\) 10.6601 + 7.69045i 0.338971 + 0.244542i
\(990\) −0.187120 −0.00594706
\(991\) 6.84005 + 47.5736i 0.217281 + 1.51123i 0.748012 + 0.663685i \(0.231008\pi\)
−0.530731 + 0.847541i \(0.678082\pi\)
\(992\) −3.80495 + 8.33169i −0.120807 + 0.264531i
\(993\) −2.25888 + 0.663266i −0.0716833 + 0.0210481i
\(994\) 1.57693 1.81988i 0.0500172 0.0577229i
\(995\) −16.6185 4.87965i −0.526843 0.154695i
\(996\) 14.8390 9.53647i 0.470193 0.302175i
\(997\) −16.0829 35.2165i −0.509349 1.11532i −0.973317 0.229467i \(-0.926302\pi\)
0.463968 0.885852i \(-0.346425\pi\)
\(998\) −4.63374 5.34762i −0.146678 0.169276i
\(999\) −5.20403 3.34443i −0.164648 0.105813i
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.q.a.463.1 yes 10
23.8 even 11 inner 483.2.q.a.169.1 10
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.q.a.169.1 10 23.8 even 11 inner
483.2.q.a.463.1 yes 10 1.1 even 1 trivial