Properties

Label 441.2.z.a.4.17
Level $441$
Weight $2$
Character 441.4
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 4.17
Character \(\chi\) \(=\) 441.4
Dual form 441.2.z.a.331.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.101230 + 1.35082i) q^{2} +(1.66963 + 0.460807i) q^{3} +(0.163204 + 0.0245990i) q^{4} +(-0.157203 + 0.688750i) q^{5} +(-0.791482 + 2.20871i) q^{6} +(-1.05230 + 2.42748i) q^{7} +(-0.652605 + 2.85925i) q^{8} +(2.57531 + 1.53875i) q^{9} +O(q^{10})\) \(q+(-0.101230 + 1.35082i) q^{2} +(1.66963 + 0.460807i) q^{3} +(0.163204 + 0.0245990i) q^{4} +(-0.157203 + 0.688750i) q^{5} +(-0.791482 + 2.20871i) q^{6} +(-1.05230 + 2.42748i) q^{7} +(-0.652605 + 2.85925i) q^{8} +(2.57531 + 1.53875i) q^{9} +(-0.914461 - 0.282074i) q^{10} +(0.648755 - 0.312424i) q^{11} +(0.261155 + 0.116277i) q^{12} +(0.423261 - 5.64802i) q^{13} +(-3.17256 - 1.66719i) q^{14} +(-0.579851 + 1.07752i) q^{15} +(-3.48083 - 1.07369i) q^{16} +(-3.00208 + 0.452490i) q^{17} +(-2.33927 + 3.32301i) q^{18} +(-1.51916 - 2.63126i) q^{19} +(-0.0425987 + 0.108540i) q^{20} +(-2.87555 + 3.56808i) q^{21} +(0.356354 + 0.907975i) q^{22} +(2.52069 - 3.16085i) q^{23} +(-2.40717 + 4.47316i) q^{24} +(4.05518 + 1.95287i) q^{25} +(7.58660 + 1.14350i) q^{26} +(3.59075 + 3.75587i) q^{27} +(-0.231453 + 0.370289i) q^{28} +(-2.04493 + 5.21039i) q^{29} +(-1.39683 - 0.892348i) q^{30} +(-0.485775 - 0.841387i) q^{31} +(-0.340204 + 0.866826i) q^{32} +(1.22715 - 0.222681i) q^{33} +(-0.307332 - 4.10106i) q^{34} +(-1.50650 - 1.10638i) q^{35} +(0.382450 + 0.314481i) q^{36} +(3.51151 - 8.94717i) q^{37} +(3.70813 - 1.78574i) q^{38} +(3.30934 - 9.23505i) q^{39} +(-1.86672 - 0.898964i) q^{40} +(4.79107 + 4.44546i) q^{41} +(-4.52874 - 4.24553i) q^{42} +(-2.52454 + 2.34243i) q^{43} +(0.113565 - 0.0350301i) q^{44} +(-1.46466 + 1.53185i) q^{45} +(4.01456 + 3.72497i) q^{46} +(0.261599 - 3.49079i) q^{47} +(-5.31693 - 3.39666i) q^{48} +(-4.78534 - 5.10887i) q^{49} +(-3.04848 + 5.28012i) q^{50} +(-5.22086 - 0.627888i) q^{51} +(0.208014 - 0.911368i) q^{52} +(1.90270 + 4.84801i) q^{53} +(-5.43698 + 4.47024i) q^{54} +(0.113196 + 0.495944i) q^{55} +(-6.25405 - 4.59297i) q^{56} +(-1.32393 - 5.09326i) q^{57} +(-6.83127 - 3.28977i) q^{58} +(-10.2605 + 9.52038i) q^{59} +(-0.121140 + 0.161591i) q^{60} +(14.3019 - 2.15566i) q^{61} +(1.18573 - 0.571020i) q^{62} +(-6.44529 + 4.63230i) q^{63} +(-7.70034 - 3.70829i) q^{64} +(3.82354 + 1.17941i) q^{65} +(0.176577 + 1.68019i) q^{66} +(-2.88961 - 5.00495i) q^{67} -0.501082 q^{68} +(5.66516 - 4.11589i) q^{69} +(1.64702 - 1.92301i) q^{70} +(9.13508 - 11.4550i) q^{71} +(-6.08034 + 6.35927i) q^{72} +(9.41342e-5 - 6.41796e-5i) q^{73} +(11.7305 + 5.64912i) q^{74} +(5.87075 + 5.12922i) q^{75} +(-0.183206 - 0.466802i) q^{76} +(0.0757197 + 1.90360i) q^{77} +(12.1399 + 5.40517i) q^{78} +(-0.726742 + 1.25875i) q^{79} +(1.28670 - 2.22863i) q^{80} +(4.26448 + 7.92554i) q^{81} +(-6.49000 + 6.02184i) q^{82} +(-0.787912 - 10.5140i) q^{83} +(-0.557072 + 0.511590i) q^{84} +(0.160282 - 2.13881i) q^{85} +(-2.90863 - 3.64731i) q^{86} +(-5.81525 + 7.75709i) q^{87} +(0.469917 + 2.05884i) q^{88} +(-0.872843 - 11.6473i) q^{89} +(-1.92098 - 2.13356i) q^{90} +(13.2651 + 6.97086i) q^{91} +(0.489141 - 0.453857i) q^{92} +(-0.423346 - 1.62865i) q^{93} +(4.68893 + 0.706743i) q^{94} +(2.05109 - 0.632679i) q^{95} +(-0.967454 + 1.29051i) q^{96} +(-5.68835 - 9.85252i) q^{97} +(7.38556 - 5.94694i) q^{98} +(2.15149 + 0.193684i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.101230 + 1.35082i −0.0715802 + 0.955171i 0.839611 + 0.543188i \(0.182783\pi\)
−0.911191 + 0.411983i \(0.864836\pi\)
\(3\) 1.66963 + 0.460807i 0.963960 + 0.266047i
\(4\) 0.163204 + 0.0245990i 0.0816020 + 0.0122995i
\(5\) −0.157203 + 0.688750i −0.0703032 + 0.308018i −0.997838 0.0657178i \(-0.979066\pi\)
0.927535 + 0.373736i \(0.121923\pi\)
\(6\) −0.791482 + 2.20871i −0.323121 + 0.901703i
\(7\) −1.05230 + 2.42748i −0.397731 + 0.917502i
\(8\) −0.652605 + 2.85925i −0.230731 + 1.01090i
\(9\) 2.57531 + 1.53875i 0.858438 + 0.512917i
\(10\) −0.914461 0.282074i −0.289178 0.0891996i
\(11\) 0.648755 0.312424i 0.195607 0.0941994i −0.333516 0.942744i \(-0.608235\pi\)
0.529123 + 0.848545i \(0.322521\pi\)
\(12\) 0.261155 + 0.116277i 0.0753888 + 0.0335662i
\(13\) 0.423261 5.64802i 0.117391 1.56648i −0.558516 0.829494i \(-0.688629\pi\)
0.675908 0.736986i \(-0.263752\pi\)
\(14\) −3.17256 1.66719i −0.847902 0.445577i
\(15\) −0.579851 + 1.07752i −0.149717 + 0.278213i
\(16\) −3.48083 1.07369i −0.870208 0.268424i
\(17\) −3.00208 + 0.452490i −0.728111 + 0.109745i −0.502629 0.864502i \(-0.667634\pi\)
−0.225482 + 0.974247i \(0.572396\pi\)
\(18\) −2.33927 + 3.32301i −0.551371 + 0.783241i
\(19\) −1.51916 2.63126i −0.348519 0.603652i 0.637468 0.770477i \(-0.279982\pi\)
−0.985987 + 0.166825i \(0.946648\pi\)
\(20\) −0.0425987 + 0.108540i −0.00952536 + 0.0242702i
\(21\) −2.87555 + 3.56808i −0.627496 + 0.778620i
\(22\) 0.356354 + 0.907975i 0.0759749 + 0.193581i
\(23\) 2.52069 3.16085i 0.525601 0.659083i −0.446187 0.894940i \(-0.647218\pi\)
0.971788 + 0.235857i \(0.0757897\pi\)
\(24\) −2.40717 + 4.47316i −0.491362 + 0.913080i
\(25\) 4.05518 + 1.95287i 0.811036 + 0.390574i
\(26\) 7.58660 + 1.14350i 1.48785 + 0.224258i
\(27\) 3.59075 + 3.75587i 0.691040 + 0.722817i
\(28\) −0.231453 + 0.370289i −0.0437405 + 0.0699781i
\(29\) −2.04493 + 5.21039i −0.379733 + 0.967545i 0.605426 + 0.795902i \(0.293003\pi\)
−0.985159 + 0.171643i \(0.945092\pi\)
\(30\) −1.39683 0.892348i −0.255025 0.162920i
\(31\) −0.485775 0.841387i −0.0872478 0.151118i 0.819099 0.573652i \(-0.194474\pi\)
−0.906347 + 0.422535i \(0.861141\pi\)
\(32\) −0.340204 + 0.866826i −0.0601402 + 0.153235i
\(33\) 1.22715 0.222681i 0.213619 0.0387638i
\(34\) −0.307332 4.10106i −0.0527070 0.703326i
\(35\) −1.50650 1.10638i −0.254646 0.187012i
\(36\) 0.382450 + 0.314481i 0.0637416 + 0.0524135i
\(37\) 3.51151 8.94717i 0.577288 1.47091i −0.282001 0.959414i \(-0.590998\pi\)
0.859288 0.511491i \(-0.170907\pi\)
\(38\) 3.70813 1.78574i 0.601538 0.289685i
\(39\) 3.30934 9.23505i 0.529918 1.47879i
\(40\) −1.86672 0.898964i −0.295154 0.142139i
\(41\) 4.79107 + 4.44546i 0.748239 + 0.694264i 0.959042 0.283264i \(-0.0914173\pi\)
−0.210803 + 0.977529i \(0.567608\pi\)
\(42\) −4.52874 4.24553i −0.698799 0.655100i
\(43\) −2.52454 + 2.34243i −0.384989 + 0.357217i −0.848797 0.528718i \(-0.822673\pi\)
0.463809 + 0.885935i \(0.346482\pi\)
\(44\) 0.113565 0.0350301i 0.0171205 0.00528098i
\(45\) −1.46466 + 1.53185i −0.218339 + 0.228355i
\(46\) 4.01456 + 3.72497i 0.591914 + 0.549216i
\(47\) 0.261599 3.49079i 0.0381581 0.509184i −0.945078 0.326846i \(-0.894014\pi\)
0.983236 0.182338i \(-0.0583667\pi\)
\(48\) −5.31693 3.39666i −0.767432 0.490266i
\(49\) −4.78534 5.10887i −0.683620 0.729839i
\(50\) −3.04848 + 5.28012i −0.431120 + 0.746721i
\(51\) −5.22086 0.627888i −0.731067 0.0879219i
\(52\) 0.208014 0.911368i 0.0288463 0.126384i
\(53\) 1.90270 + 4.84801i 0.261356 + 0.665925i 0.999966 0.00820781i \(-0.00261266\pi\)
−0.738610 + 0.674133i \(0.764517\pi\)
\(54\) −5.43698 + 4.47024i −0.739879 + 0.608322i
\(55\) 0.113196 + 0.495944i 0.0152633 + 0.0668730i
\(56\) −6.25405 4.59297i −0.835732 0.613762i
\(57\) −1.32393 5.09326i −0.175358 0.674619i
\(58\) −6.83127 3.28977i −0.896990 0.431968i
\(59\) −10.2605 + 9.52038i −1.33581 + 1.23945i −0.387587 + 0.921833i \(0.626691\pi\)
−0.948220 + 0.317615i \(0.897118\pi\)
\(60\) −0.121140 + 0.161591i −0.0156391 + 0.0208613i
\(61\) 14.3019 2.15566i 1.83117 0.276004i 0.859288 0.511492i \(-0.170907\pi\)
0.971877 + 0.235488i \(0.0756689\pi\)
\(62\) 1.18573 0.571020i 0.150588 0.0725196i
\(63\) −6.44529 + 4.63230i −0.812030 + 0.583615i
\(64\) −7.70034 3.70829i −0.962542 0.463536i
\(65\) 3.82354 + 1.17941i 0.474251 + 0.146287i
\(66\) 0.176577 + 1.68019i 0.0217352 + 0.206817i
\(67\) −2.88961 5.00495i −0.353022 0.611452i 0.633755 0.773533i \(-0.281513\pi\)
−0.986777 + 0.162082i \(0.948179\pi\)
\(68\) −0.501082 −0.0607651
\(69\) 5.66516 4.11589i 0.682005 0.495495i
\(70\) 1.64702 1.92301i 0.196856 0.229844i
\(71\) 9.13508 11.4550i 1.08413 1.35946i 0.155770 0.987793i \(-0.450214\pi\)
0.928365 0.371669i \(-0.121214\pi\)
\(72\) −6.08034 + 6.35927i −0.716575 + 0.749447i
\(73\) 9.41342e−5 0 6.41796e-5i 1.10176e−5 0 7.51166e-6i −0.563315 0.826243i \(-0.690474\pi\)
0.563326 + 0.826235i \(0.309522\pi\)
\(74\) 11.7305 + 5.64912i 1.36364 + 0.656697i
\(75\) 5.87075 + 5.12922i 0.677895 + 0.592272i
\(76\) −0.183206 0.466802i −0.0210152 0.0535458i
\(77\) 0.0757197 + 1.90360i 0.00862907 + 0.216936i
\(78\) 12.1399 + 5.40517i 1.37457 + 0.612015i
\(79\) −0.726742 + 1.25875i −0.0817649 + 0.141621i −0.904008 0.427515i \(-0.859389\pi\)
0.822243 + 0.569136i \(0.192722\pi\)
\(80\) 1.28670 2.22863i 0.143858 0.249169i
\(81\) 4.26448 + 7.92554i 0.473831 + 0.880616i
\(82\) −6.49000 + 6.02184i −0.716701 + 0.665001i
\(83\) −0.787912 10.5140i −0.0864846 1.15406i −0.856540 0.516080i \(-0.827391\pi\)
0.770056 0.637977i \(-0.220228\pi\)
\(84\) −0.557072 + 0.511590i −0.0607816 + 0.0558191i
\(85\) 0.160282 2.13881i 0.0173850 0.231987i
\(86\) −2.90863 3.64731i −0.313646 0.393300i
\(87\) −5.81525 + 7.75709i −0.623460 + 0.831648i
\(88\) 0.469917 + 2.05884i 0.0500934 + 0.219473i
\(89\) −0.872843 11.6473i −0.0925212 1.23461i −0.829428 0.558614i \(-0.811333\pi\)
0.736906 0.675995i \(-0.236286\pi\)
\(90\) −1.92098 2.13356i −0.202489 0.224897i
\(91\) 13.2651 + 6.97086i 1.39056 + 0.730745i
\(92\) 0.489141 0.453857i 0.0509965 0.0473178i
\(93\) −0.423346 1.62865i −0.0438990 0.168883i
\(94\) 4.68893 + 0.706743i 0.483627 + 0.0728950i
\(95\) 2.05109 0.632679i 0.210438 0.0649115i
\(96\) −0.967454 + 1.29051i −0.0987404 + 0.131712i
\(97\) −5.68835 9.85252i −0.577565 1.00037i −0.995758 0.0920134i \(-0.970670\pi\)
0.418193 0.908358i \(-0.362664\pi\)
\(98\) 7.38556 5.94694i 0.746055 0.600732i
\(99\) 2.15149 + 0.193684i 0.216233 + 0.0194659i
\(100\) 0.613783 + 0.418470i 0.0613783 + 0.0418470i
\(101\) −0.219978 + 0.963788i −0.0218887 + 0.0959005i −0.984692 0.174301i \(-0.944233\pi\)
0.962804 + 0.270202i \(0.0870904\pi\)
\(102\) 1.37667 6.98887i 0.136310 0.692001i
\(103\) 2.65726 11.6422i 0.261828 1.14714i −0.657440 0.753507i \(-0.728361\pi\)
0.919267 0.393634i \(-0.128782\pi\)
\(104\) 15.8729 + 4.89614i 1.55647 + 0.480106i
\(105\) −2.00547 2.54145i −0.195714 0.248020i
\(106\) −6.74138 + 2.07944i −0.654781 + 0.201973i
\(107\) 0.382444 + 5.10336i 0.0369723 + 0.493361i 0.984697 + 0.174273i \(0.0557575\pi\)
−0.947725 + 0.319088i \(0.896623\pi\)
\(108\) 0.493634 + 0.701301i 0.0474999 + 0.0674828i
\(109\) −1.10642 + 14.7642i −0.105976 + 1.41415i 0.650188 + 0.759773i \(0.274690\pi\)
−0.756164 + 0.654382i \(0.772929\pi\)
\(110\) −0.681388 + 0.102703i −0.0649678 + 0.00979232i
\(111\) 9.98582 13.3203i 0.947813 1.26431i
\(112\) 6.26925 7.31981i 0.592388 0.691657i
\(113\) −4.89981 + 3.34064i −0.460936 + 0.314261i −0.771429 0.636315i \(-0.780458\pi\)
0.310494 + 0.950575i \(0.399506\pi\)
\(114\) 7.01408 1.27279i 0.656929 0.119208i
\(115\) 1.78078 + 2.23302i 0.166058 + 0.208230i
\(116\) −0.461911 + 0.800053i −0.0428874 + 0.0742831i
\(117\) 9.78094 13.8941i 0.904248 1.28451i
\(118\) −11.8216 14.8238i −1.08827 1.36464i
\(119\) 2.06067 7.76364i 0.188901 0.711692i
\(120\) −2.70248 2.36113i −0.246701 0.215541i
\(121\) −6.53511 + 8.19477i −0.594101 + 0.744979i
\(122\) 1.46413 + 19.5374i 0.132556 + 1.76883i
\(123\) 5.95080 + 9.63002i 0.536566 + 0.868310i
\(124\) −0.0585831 0.149267i −0.00526092 0.0134046i
\(125\) −4.18489 + 5.24768i −0.374308 + 0.469367i
\(126\) −5.60493 9.17533i −0.499327 0.817404i
\(127\) 6.90027 + 8.65267i 0.612300 + 0.767800i 0.987238 0.159250i \(-0.0509075\pi\)
−0.374938 + 0.927050i \(0.622336\pi\)
\(128\) 4.85752 8.41348i 0.429348 0.743653i
\(129\) −5.29445 + 2.74766i −0.466150 + 0.241918i
\(130\) −1.98022 + 5.04551i −0.173676 + 0.442520i
\(131\) 0.774484 + 3.39324i 0.0676670 + 0.296469i 0.997426 0.0716995i \(-0.0228422\pi\)
−0.929759 + 0.368168i \(0.879985\pi\)
\(132\) 0.205753 0.00615577i 0.0179085 0.000535791i
\(133\) 7.98594 0.918859i 0.692468 0.0796752i
\(134\) 7.05328 3.39668i 0.609311 0.293429i
\(135\) −3.15133 + 1.88269i −0.271223 + 0.162037i
\(136\) 0.665389 8.87899i 0.0570566 0.761367i
\(137\) −2.30773 10.1108i −0.197163 0.863827i −0.972615 0.232421i \(-0.925335\pi\)
0.775453 0.631406i \(-0.217522\pi\)
\(138\) 4.98633 + 8.06924i 0.424464 + 0.686900i
\(139\) −3.51660 3.26293i −0.298274 0.276758i 0.516810 0.856100i \(-0.327119\pi\)
−0.815085 + 0.579342i \(0.803310\pi\)
\(140\) −0.218652 0.217624i −0.0184794 0.0183926i
\(141\) 2.04535 5.70777i 0.172250 0.480681i
\(142\) 14.5489 + 13.4994i 1.22092 + 1.13285i
\(143\) −1.48998 3.79642i −0.124599 0.317473i
\(144\) −7.31208 8.12124i −0.609340 0.676770i
\(145\) −3.26719 2.22753i −0.271325 0.184986i
\(146\) 7.71657e−5 0 0.000133655i 6.38628e−6 0 1.10614e-5i
\(147\) −5.63553 10.7350i −0.464811 0.885410i
\(148\) 0.793184 1.37383i 0.0651993 0.112928i
\(149\) 8.62426 4.15322i 0.706527 0.340245i −0.0458775 0.998947i \(-0.514608\pi\)
0.752404 + 0.658702i \(0.228894\pi\)
\(150\) −7.52294 + 7.41107i −0.614245 + 0.605111i
\(151\) −4.57510 + 5.73700i −0.372317 + 0.466870i −0.932328 0.361615i \(-0.882226\pi\)
0.560011 + 0.828485i \(0.310797\pi\)
\(152\) 8.51484 2.62648i 0.690644 0.213036i
\(153\) −8.42756 3.45415i −0.681328 0.279251i
\(154\) −2.57908 0.0904178i −0.207829 0.00728607i
\(155\) 0.655870 0.202309i 0.0526808 0.0162499i
\(156\) 0.767271 1.42579i 0.0614308 0.114155i
\(157\) 6.01568 5.58173i 0.480103 0.445471i −0.402618 0.915368i \(-0.631900\pi\)
0.882721 + 0.469897i \(0.155709\pi\)
\(158\) −1.62678 1.10912i −0.129420 0.0882367i
\(159\) 0.942810 + 8.97115i 0.0747697 + 0.711458i
\(160\) −0.543545 0.370583i −0.0429710 0.0292972i
\(161\) 5.02038 + 9.44509i 0.395662 + 0.744378i
\(162\) −11.1376 + 4.95823i −0.875056 + 0.389556i
\(163\) −12.3638 + 11.4719i −0.968404 + 0.898548i −0.994876 0.101102i \(-0.967763\pi\)
0.0264717 + 0.999650i \(0.491573\pi\)
\(164\) 0.672568 + 0.843373i 0.0525187 + 0.0658564i
\(165\) −0.0395393 + 0.880203i −0.00307813 + 0.0685237i
\(166\) 14.2822 1.10851
\(167\) −5.48370 + 0.826534i −0.424341 + 0.0639591i −0.357742 0.933821i \(-0.616453\pi\)
−0.0665996 + 0.997780i \(0.521215\pi\)
\(168\) −8.32545 10.5505i −0.642323 0.813986i
\(169\) −18.8662 2.84362i −1.45125 0.218740i
\(170\) 2.87292 + 0.433023i 0.220343 + 0.0332113i
\(171\) 0.136547 9.11392i 0.0104420 0.696959i
\(172\) −0.469636 + 0.320193i −0.0358094 + 0.0244145i
\(173\) −4.63740 11.8159i −0.352575 0.898347i −0.991621 0.129179i \(-0.958766\pi\)
0.639046 0.769169i \(-0.279329\pi\)
\(174\) −9.88973 8.64059i −0.749739 0.655041i
\(175\) −9.00782 + 7.78887i −0.680927 + 0.588784i
\(176\) −2.59365 + 0.390930i −0.195504 + 0.0294675i
\(177\) −21.5183 + 11.1674i −1.61742 + 0.839391i
\(178\) 15.8217 1.18589
\(179\) 0.979302 0.147606i 0.0731965 0.0110326i −0.112342 0.993670i \(-0.535835\pi\)
0.185538 + 0.982637i \(0.440597\pi\)
\(180\) −0.276721 + 0.213975i −0.0206255 + 0.0159488i
\(181\) 16.0224 + 7.71600i 1.19094 + 0.573526i 0.921080 0.389374i \(-0.127309\pi\)
0.269859 + 0.962900i \(0.413023\pi\)
\(182\) −10.7592 + 17.2130i −0.797523 + 1.27591i
\(183\) 24.8721 + 2.99125i 1.83860 + 0.221119i
\(184\) 7.39265 + 9.27008i 0.544993 + 0.683400i
\(185\) 5.61034 + 3.82507i 0.412481 + 0.281225i
\(186\) 2.24286 0.406995i 0.164455 0.0298424i
\(187\) −1.80624 + 1.23148i −0.132086 + 0.0900545i
\(188\) 0.128564 0.563276i 0.00937650 0.0410811i
\(189\) −12.8958 + 4.76418i −0.938034 + 0.346543i
\(190\) 0.647001 + 2.83470i 0.0469384 + 0.205651i
\(191\) 0.420238 + 0.389924i 0.0304074 + 0.0282139i 0.695230 0.718787i \(-0.255302\pi\)
−0.664823 + 0.747001i \(0.731493\pi\)
\(192\) −11.1479 9.73983i −0.804530 0.702912i
\(193\) 4.68326 1.44460i 0.337109 0.103984i −0.121579 0.992582i \(-0.538796\pi\)
0.458688 + 0.888597i \(0.348320\pi\)
\(194\) 13.8848 6.68655i 0.996869 0.480067i
\(195\) 5.84041 + 3.73108i 0.418240 + 0.267188i
\(196\) −0.655313 0.951503i −0.0468081 0.0679645i
\(197\) −22.6760 −1.61560 −0.807800 0.589457i \(-0.799342\pi\)
−0.807800 + 0.589457i \(0.799342\pi\)
\(198\) −0.479426 + 2.88666i −0.0340713 + 0.205146i
\(199\) −9.30393 8.63279i −0.659538 0.611962i 0.277693 0.960670i \(-0.410430\pi\)
−0.937231 + 0.348708i \(0.886621\pi\)
\(200\) −8.23019 + 10.3203i −0.581962 + 0.729757i
\(201\) −2.51826 9.68795i −0.177624 0.683336i
\(202\) −1.27963 0.394714i −0.0900346 0.0277720i
\(203\) −10.4963 10.4469i −0.736693 0.733229i
\(204\) −0.836620 0.230902i −0.0585751 0.0161664i
\(205\) −3.81498 + 2.60101i −0.266450 + 0.181662i
\(206\) 15.4575 + 4.76801i 1.07698 + 0.332203i
\(207\) 11.3553 4.26146i 0.789251 0.296192i
\(208\) −7.53755 + 19.2054i −0.522635 + 1.33165i
\(209\) −1.80763 1.23242i −0.125036 0.0852483i
\(210\) 3.63604 2.45176i 0.250911 0.169187i
\(211\) −9.54217 + 6.50574i −0.656910 + 0.447874i −0.845351 0.534211i \(-0.820609\pi\)
0.188441 + 0.982084i \(0.439656\pi\)
\(212\) 0.191272 + 0.838019i 0.0131366 + 0.0575554i
\(213\) 20.5307 14.9161i 1.40674 1.02204i
\(214\) −6.93242 −0.473891
\(215\) −1.21648 2.10701i −0.0829635 0.143697i
\(216\) −13.0823 + 7.81575i −0.890138 + 0.531795i
\(217\) 2.55363 0.293820i 0.173352 0.0199458i
\(218\) −19.8317 2.98915i −1.34317 0.202451i
\(219\) 0.000186744 0 6.37784e-5i 1.26190e−5 0 4.30974e-6i
\(220\) 0.00627429 + 0.0837245i 0.000423012 + 0.00564471i
\(221\) 1.28501 + 17.1473i 0.0864394 + 1.15345i
\(222\) 16.9824 + 14.8374i 1.13979 + 0.995823i
\(223\) −2.99483 0.451397i −0.200548 0.0302278i 0.0479998 0.998847i \(-0.484715\pi\)
−0.248548 + 0.968620i \(0.579953\pi\)
\(224\) −1.74621 1.73800i −0.116673 0.116125i
\(225\) 7.43838 + 11.2692i 0.495892 + 0.751278i
\(226\) −4.01658 6.95692i −0.267179 0.462767i
\(227\) −21.4446 −1.42333 −0.711664 0.702520i \(-0.752058\pi\)
−0.711664 + 0.702520i \(0.752058\pi\)
\(228\) −0.0907806 0.863808i −0.00601209 0.0572071i
\(229\) 5.14404 + 22.5375i 0.339928 + 1.48932i 0.799221 + 0.601037i \(0.205246\pi\)
−0.459293 + 0.888285i \(0.651897\pi\)
\(230\) −3.19667 + 2.17945i −0.210782 + 0.143709i
\(231\) −0.750770 + 3.21320i −0.0493971 + 0.211413i
\(232\) −13.5633 9.24729i −0.890473 0.607114i
\(233\) 0.467767 1.19185i 0.0306444 0.0780808i −0.914732 0.404060i \(-0.867599\pi\)
0.945377 + 0.325979i \(0.105694\pi\)
\(234\) 17.7783 + 14.6188i 1.16220 + 0.955658i
\(235\) 2.36316 + 0.728937i 0.154155 + 0.0475506i
\(236\) −1.90875 + 1.30136i −0.124249 + 0.0847116i
\(237\) −1.79343 + 1.76676i −0.116496 + 0.114764i
\(238\) 10.2787 + 3.56950i 0.666266 + 0.231376i
\(239\) −26.9698 8.31907i −1.74453 0.538116i −0.751897 0.659280i \(-0.770861\pi\)
−0.992632 + 0.121164i \(0.961337\pi\)
\(240\) 3.17528 3.12807i 0.204964 0.201916i
\(241\) −2.54728 + 3.19419i −0.164085 + 0.205756i −0.857076 0.515190i \(-0.827721\pi\)
0.692991 + 0.720946i \(0.256293\pi\)
\(242\) −10.4081 9.65729i −0.669057 0.620794i
\(243\) 3.46795 + 15.1978i 0.222469 + 0.974940i
\(244\) 2.38715 0.152821
\(245\) 4.27100 2.49277i 0.272864 0.159257i
\(246\) −13.6108 + 7.06360i −0.867792 + 0.450358i
\(247\) −15.5044 + 7.46653i −0.986521 + 0.475084i
\(248\) 2.72276 0.839859i 0.172895 0.0533311i
\(249\) 3.52938 17.9175i 0.223666 1.13547i
\(250\) −6.66502 6.18423i −0.421533 0.391125i
\(251\) 4.34694 + 19.0452i 0.274376 + 1.20212i 0.904789 + 0.425861i \(0.140029\pi\)
−0.630413 + 0.776260i \(0.717114\pi\)
\(252\) −1.16585 + 0.597462i −0.0734415 + 0.0376366i
\(253\) 0.647787 2.83814i 0.0407260 0.178432i
\(254\) −12.3867 + 8.44509i −0.777209 + 0.529892i
\(255\) 1.25319 3.49716i 0.0784779 0.219001i
\(256\) −3.24995 2.21578i −0.203122 0.138486i
\(257\) −19.1059 23.9580i −1.19179 1.49446i −0.825912 0.563799i \(-0.809339\pi\)
−0.365881 0.930662i \(-0.619232\pi\)
\(258\) −3.17563 7.42997i −0.197706 0.462570i
\(259\) 18.0239 + 17.9392i 1.11995 + 1.11469i
\(260\) 0.595004 + 0.286539i 0.0369006 + 0.0177704i
\(261\) −13.2838 + 10.2718i −0.822248 + 0.635805i
\(262\) −4.66204 + 0.702690i −0.288022 + 0.0434123i
\(263\) 16.3901 1.01066 0.505328 0.862927i \(-0.331371\pi\)
0.505328 + 0.862927i \(0.331371\pi\)
\(264\) −0.164142 + 3.65404i −0.0101022 + 0.224891i
\(265\) −3.63818 + 0.548367i −0.223491 + 0.0336859i
\(266\) 0.432796 + 10.8805i 0.0265364 + 0.667129i
\(267\) 3.90982 19.8488i 0.239277 1.21473i
\(268\) −0.348479 0.887909i −0.0212867 0.0542377i
\(269\) 1.94639 1.32703i 0.118673 0.0809102i −0.502529 0.864560i \(-0.667597\pi\)
0.621202 + 0.783650i \(0.286645\pi\)
\(270\) −2.22417 4.44745i −0.135359 0.270663i
\(271\) −8.84660 1.33341i −0.537393 0.0809989i −0.125262 0.992124i \(-0.539977\pi\)
−0.412131 + 0.911125i \(0.635215\pi\)
\(272\) 10.9356 + 1.64827i 0.663066 + 0.0999411i
\(273\) 18.9355 + 17.7514i 1.14603 + 1.07436i
\(274\) 13.8915 2.09381i 0.839216 0.126491i
\(275\) 3.24094 0.195436
\(276\) 1.02582 0.532372i 0.0617474 0.0320450i
\(277\) 11.3262 + 14.2027i 0.680528 + 0.853355i 0.995403 0.0957779i \(-0.0305338\pi\)
−0.314874 + 0.949133i \(0.601962\pi\)
\(278\) 4.76361 4.41998i 0.285702 0.265093i
\(279\) 0.0436631 2.91432i 0.00261404 0.174476i
\(280\) 4.14656 3.58545i 0.247805 0.214271i
\(281\) −4.87728 3.32527i −0.290954 0.198369i 0.409043 0.912515i \(-0.365863\pi\)
−0.699996 + 0.714146i \(0.746815\pi\)
\(282\) 7.50310 + 3.34069i 0.446803 + 0.198935i
\(283\) 4.87824 + 3.32593i 0.289981 + 0.197706i 0.699569 0.714565i \(-0.253375\pi\)
−0.409588 + 0.912271i \(0.634328\pi\)
\(284\) 1.77267 1.64479i 0.105188 0.0976005i
\(285\) 3.71611 0.111179i 0.220123 0.00658570i
\(286\) 5.27910 1.62839i 0.312160 0.0962885i
\(287\) −15.8329 + 6.95228i −0.934587 + 0.410380i
\(288\) −2.20996 + 1.70886i −0.130223 + 0.100696i
\(289\) −7.43701 + 2.29402i −0.437471 + 0.134942i
\(290\) 3.33972 4.18788i 0.196115 0.245921i
\(291\) −4.95732 19.0713i −0.290604 1.11798i
\(292\) 1.69418e−5 0 8.15876e-6i 9.91446e−7 0 4.77455e-7i
\(293\) 0.0835193 0.144660i 0.00487925 0.00845111i −0.863575 0.504220i \(-0.831780\pi\)
0.868455 + 0.495768i \(0.165114\pi\)
\(294\) 15.0715 6.52586i 0.878990 0.380596i
\(295\) −4.94418 8.56357i −0.287861 0.498590i
\(296\) 23.2906 + 15.8792i 1.35374 + 0.922963i
\(297\) 3.50294 + 1.31480i 0.203261 + 0.0762925i
\(298\) 4.73721 + 12.0702i 0.274419 + 0.699209i
\(299\) −16.7856 15.5748i −0.970739 0.900714i
\(300\) 0.831955 + 0.981525i 0.0480330 + 0.0566684i
\(301\) −3.02964 8.59321i −0.174625 0.495304i
\(302\) −7.28650 6.76088i −0.419291 0.389045i
\(303\) −0.811402 + 1.50780i −0.0466138 + 0.0866208i
\(304\) 2.46276 + 10.7901i 0.141249 + 0.618853i
\(305\) −0.763581 + 10.1893i −0.0437225 + 0.583436i
\(306\) 5.51904 11.0344i 0.315503 0.630796i
\(307\) −3.78605 + 1.82327i −0.216082 + 0.104059i −0.538794 0.842438i \(-0.681120\pi\)
0.322712 + 0.946497i \(0.395405\pi\)
\(308\) −0.0344691 + 0.312538i −0.00196406 + 0.0178085i
\(309\) 9.80145 18.2137i 0.557585 1.03614i
\(310\) 0.206889 + 0.906440i 0.0117505 + 0.0514823i
\(311\) −8.05713 + 20.5292i −0.456878 + 1.16411i 0.498018 + 0.867166i \(0.334061\pi\)
−0.954896 + 0.296939i \(0.904034\pi\)
\(312\) 24.2457 + 15.4891i 1.37264 + 0.876896i
\(313\) 16.2688 28.1784i 0.919567 1.59274i 0.119494 0.992835i \(-0.461873\pi\)
0.800073 0.599902i \(-0.204794\pi\)
\(314\) 6.93093 + 8.69111i 0.391135 + 0.490468i
\(315\) −2.17728 5.16740i −0.122676 0.291150i
\(316\) −0.149571 + 0.187557i −0.00841405 + 0.0105509i
\(317\) −7.45905 19.0053i −0.418942 1.06745i −0.972141 0.234397i \(-0.924688\pi\)
0.553199 0.833049i \(-0.313407\pi\)
\(318\) −12.2138 + 0.365416i −0.684917 + 0.0204915i
\(319\) 0.301194 + 4.01915i 0.0168636 + 0.225029i
\(320\) 3.76460 4.72065i 0.210447 0.263893i
\(321\) −1.71313 + 8.69695i −0.0956174 + 0.485417i
\(322\) −13.2668 + 5.82549i −0.739330 + 0.324642i
\(323\) 5.75125 + 7.21183i 0.320008 + 0.401277i
\(324\) 0.501020 + 1.39838i 0.0278344 + 0.0776879i
\(325\) 12.7463 22.0772i 0.707036 1.22462i
\(326\) −14.2448 17.8625i −0.788949 0.989310i
\(327\) −8.65077 + 24.1409i −0.478389 + 1.33499i
\(328\) −15.8374 + 10.7977i −0.874472 + 0.596205i
\(329\) 8.19855 + 4.30838i 0.452001 + 0.237529i
\(330\) −1.18499 0.142513i −0.0652316 0.00784508i
\(331\) −12.2752 + 1.85019i −0.674706 + 0.101696i −0.477453 0.878657i \(-0.658440\pi\)
−0.197253 + 0.980353i \(0.563202\pi\)
\(332\) 0.130043 1.73530i 0.00713703 0.0952371i
\(333\) 22.8107 17.6384i 1.25002 0.966580i
\(334\) −0.561383 7.49114i −0.0307175 0.409897i
\(335\) 3.90141 1.20343i 0.213157 0.0657502i
\(336\) 13.8403 9.33244i 0.755052 0.509126i
\(337\) 23.7538 + 7.32707i 1.29395 + 0.399131i 0.863895 0.503672i \(-0.168018\pi\)
0.430055 + 0.902803i \(0.358494\pi\)
\(338\) 5.75104 25.1969i 0.312815 1.37053i
\(339\) −9.72025 + 3.31975i −0.527931 + 0.180304i
\(340\) 0.0787714 0.345120i 0.00427198 0.0187168i
\(341\) −0.578018 0.394086i −0.0313014 0.0213410i
\(342\) 12.2974 + 1.10705i 0.664968 + 0.0598624i
\(343\) 17.4373 6.24026i 0.941525 0.336943i
\(344\) −5.05007 8.74697i −0.272281 0.471605i
\(345\) 1.94424 + 4.54891i 0.104674 + 0.244905i
\(346\) 16.4306 5.06816i 0.883313 0.272466i
\(347\) −30.2256 4.55578i −1.62260 0.244567i −0.726090 0.687599i \(-0.758665\pi\)
−0.896506 + 0.443032i \(0.853903\pi\)
\(348\) −1.13989 + 1.12294i −0.0611045 + 0.0601959i
\(349\) 4.15546 3.85571i 0.222437 0.206391i −0.561080 0.827761i \(-0.689614\pi\)
0.783517 + 0.621370i \(0.213424\pi\)
\(350\) −9.60948 12.9564i −0.513648 0.692548i
\(351\) 22.7330 18.6909i 1.21340 0.997647i
\(352\) 0.0501081 + 0.668646i 0.00267077 + 0.0356389i
\(353\) 2.98140 + 13.0624i 0.158684 + 0.695240i 0.990190 + 0.139725i \(0.0446218\pi\)
−0.831506 + 0.555515i \(0.812521\pi\)
\(354\) −12.9068 30.1978i −0.685987 1.60499i
\(355\) 6.45359 + 8.09255i 0.342521 + 0.429508i
\(356\) 0.144061 1.92235i 0.00763519 0.101885i
\(357\) 7.01809 12.0128i 0.371437 0.635786i
\(358\) 0.100254 + 1.33780i 0.00529860 + 0.0707049i
\(359\) 0.967083 0.897322i 0.0510407 0.0473588i −0.654240 0.756287i \(-0.727011\pi\)
0.705281 + 0.708928i \(0.250821\pi\)
\(360\) −3.42410 5.18753i −0.180466 0.273407i
\(361\) 4.88432 8.45990i 0.257070 0.445258i
\(362\) −12.0449 + 20.8623i −0.633063 + 1.09650i
\(363\) −14.6874 + 10.6708i −0.770889 + 0.560071i
\(364\) 1.99344 + 1.46398i 0.104485 + 0.0767335i
\(365\) 2.94056e−5 0 7.49242e-5i 1.53916e−6 0 3.92171e-6i
\(366\) −6.55843 + 33.2949i −0.342814 + 1.74035i
\(367\) 12.5753 + 6.05596i 0.656426 + 0.316118i 0.732283 0.681000i \(-0.238455\pi\)
−0.0758566 + 0.997119i \(0.524169\pi\)
\(368\) −12.1679 + 8.29593i −0.634295 + 0.432455i
\(369\) 5.49804 + 18.8207i 0.286217 + 0.979768i
\(370\) −5.73490 + 7.19133i −0.298143 + 0.373860i
\(371\) −13.7707 0.482773i −0.714937 0.0250643i
\(372\) −0.0290286 0.276216i −0.00150506 0.0143212i
\(373\) −1.64055 −0.0849442 −0.0424721 0.999098i \(-0.513523\pi\)
−0.0424721 + 0.999098i \(0.513523\pi\)
\(374\) −1.48065 2.56457i −0.0765627 0.132611i
\(375\) −9.40537 + 6.83325i −0.485691 + 0.352867i
\(376\) 9.81032 + 3.02608i 0.505929 + 0.156058i
\(377\) 28.5629 + 13.7552i 1.47106 + 0.708426i
\(378\) −5.13010 17.9022i −0.263864 0.920789i
\(379\) 4.14269 1.99501i 0.212796 0.102477i −0.324450 0.945903i \(-0.605179\pi\)
0.537245 + 0.843426i \(0.319465\pi\)
\(380\) 0.350310 0.0528007i 0.0179705 0.00270862i
\(381\) 7.53367 + 17.6264i 0.385962 + 0.903029i
\(382\) −0.569256 + 0.528193i −0.0291257 + 0.0270247i
\(383\) −10.9180 5.25784i −0.557885 0.268663i 0.133623 0.991032i \(-0.457339\pi\)
−0.691508 + 0.722369i \(0.743053\pi\)
\(384\) 11.9872 11.8090i 0.611721 0.602625i
\(385\) −1.32301 0.247100i −0.0674269 0.0125934i
\(386\) 1.47730 + 6.47247i 0.0751925 + 0.329440i
\(387\) −10.1059 + 2.14785i −0.513712 + 0.109181i
\(388\) −0.686000 1.74790i −0.0348264 0.0887361i
\(389\) −1.00186 + 4.38941i −0.0507961 + 0.222552i −0.993955 0.109791i \(-0.964982\pi\)
0.943159 + 0.332343i \(0.107839\pi\)
\(390\) −5.63123 + 7.51162i −0.285148 + 0.380366i
\(391\) −6.13706 + 10.6297i −0.310365 + 0.537567i
\(392\) 17.7305 10.3484i 0.895524 0.522673i
\(393\) −0.270527 + 6.02233i −0.0136463 + 0.303786i
\(394\) 2.29549 30.6311i 0.115645 1.54317i
\(395\) −0.752721 0.698423i −0.0378735 0.0351415i
\(396\) 0.346367 + 0.0845346i 0.0174056 + 0.00424802i
\(397\) −8.20022 + 2.52943i −0.411557 + 0.126949i −0.493618 0.869679i \(-0.664326\pi\)
0.0820610 + 0.996627i \(0.473850\pi\)
\(398\) 12.6031 11.6940i 0.631738 0.586168i
\(399\) 13.7570 + 2.14582i 0.688709 + 0.107425i
\(400\) −12.0186 11.1516i −0.600931 0.557582i
\(401\) 27.2590 + 13.1273i 1.36125 + 0.655544i 0.964915 0.262562i \(-0.0845675\pi\)
0.396335 + 0.918106i \(0.370282\pi\)
\(402\) 13.3416 2.42099i 0.665417 0.120748i
\(403\) −4.95778 + 2.38754i −0.246965 + 0.118932i
\(404\) −0.0596096 + 0.151883i −0.00296569 + 0.00755645i
\(405\) −6.12910 + 1.69125i −0.304558 + 0.0840387i
\(406\) 15.1744 13.1210i 0.753092 0.651183i
\(407\) −0.517203 6.90160i −0.0256368 0.342100i
\(408\) 5.20245 14.5180i 0.257560 0.718748i
\(409\) −7.07509 + 18.0270i −0.349841 + 0.891380i 0.642323 + 0.766434i \(0.277971\pi\)
−0.992164 + 0.124946i \(0.960124\pi\)
\(410\) −3.12730 5.41664i −0.154446 0.267509i
\(411\) 0.806089 17.9447i 0.0397615 0.885149i
\(412\) 0.720063 1.83469i 0.0354749 0.0903887i
\(413\) −12.3134 34.9255i −0.605903 1.71857i
\(414\) 4.60695 + 15.7704i 0.226419 + 0.775071i
\(415\) 7.36535 + 1.11015i 0.361551 + 0.0544950i
\(416\) 4.75186 + 2.28837i 0.232979 + 0.112197i
\(417\) −4.36784 7.06836i −0.213894 0.346139i
\(418\) 1.84776 2.31702i 0.0903768 0.113329i
\(419\) 6.62482 + 16.8798i 0.323644 + 0.824631i 0.996401 + 0.0847675i \(0.0270148\pi\)
−0.672757 + 0.739864i \(0.734890\pi\)
\(420\) −0.264784 0.464107i −0.0129202 0.0226461i
\(421\) 2.05663 5.24022i 0.100234 0.255393i −0.871956 0.489583i \(-0.837149\pi\)
0.972191 + 0.234191i \(0.0752441\pi\)
\(422\) −7.82211 13.5483i −0.380774 0.659521i
\(423\) 6.04516 8.58734i 0.293926 0.417531i
\(424\) −15.1034 + 2.27647i −0.733486 + 0.110555i
\(425\) −13.0576 4.02774i −0.633388 0.195374i
\(426\) 18.0706 + 29.2432i 0.875525 + 1.41684i
\(427\) −9.81700 + 36.9859i −0.475078 + 1.78987i
\(428\) −0.0631215 + 0.842297i −0.00305109 + 0.0407140i
\(429\) −0.738304 7.02520i −0.0356456 0.339180i
\(430\) 2.96933 1.42995i 0.143194 0.0689585i
\(431\) 7.55608 + 2.33074i 0.363963 + 0.112268i 0.471342 0.881950i \(-0.343770\pi\)
−0.107379 + 0.994218i \(0.534246\pi\)
\(432\) −8.46613 16.9289i −0.407327 0.814492i
\(433\) 5.06897 22.2086i 0.243599 1.06728i −0.694113 0.719866i \(-0.744203\pi\)
0.937713 0.347412i \(-0.112939\pi\)
\(434\) 0.138394 + 3.47923i 0.00664310 + 0.167008i
\(435\) −4.42853 5.22469i −0.212332 0.250505i
\(436\) −0.543759 + 2.38236i −0.0260413 + 0.114094i
\(437\) −12.1463 1.83077i −0.581038 0.0875774i
\(438\) 6.72489e−5 0 0.000258713i 3.21328e−6 0 1.23618e-5i
\(439\) −0.651335 + 8.69147i −0.0310865 + 0.414821i 0.959852 + 0.280506i \(0.0905024\pi\)
−0.990939 + 0.134315i \(0.957117\pi\)
\(440\) −1.49190 −0.0711236
\(441\) −4.46246 20.5204i −0.212498 0.977161i
\(442\) −23.2930 −1.10793
\(443\) −2.59425 + 34.6179i −0.123257 + 1.64474i 0.502392 + 0.864640i \(0.332453\pi\)
−0.625649 + 0.780105i \(0.715166\pi\)
\(444\) 1.95739 1.92829i 0.0928938 0.0915125i
\(445\) 8.15928 + 1.22981i 0.386787 + 0.0582987i
\(446\) 0.912920 3.99977i 0.0432280 0.189394i
\(447\) 16.3131 2.96022i 0.771585 0.140014i
\(448\) 17.1049 14.7902i 0.808128 0.698772i
\(449\) −0.574996 + 2.51922i −0.0271357 + 0.118889i −0.986682 0.162662i \(-0.947992\pi\)
0.959546 + 0.281552i \(0.0908491\pi\)
\(450\) −15.9756 + 8.90711i −0.753096 + 0.419885i
\(451\) 4.49710 + 1.38717i 0.211760 + 0.0653193i
\(452\) −0.881845 + 0.424674i −0.0414785 + 0.0199750i
\(453\) −10.2824 + 7.47041i −0.483108 + 0.350991i
\(454\) 2.17083 28.9677i 0.101882 1.35952i
\(455\) −6.88649 + 8.04048i −0.322843 + 0.376944i
\(456\) 15.4269 0.461547i 0.722431 0.0216139i
\(457\) −25.5142 7.87008i −1.19350 0.368147i −0.366539 0.930403i \(-0.619457\pi\)
−0.826963 + 0.562256i \(0.809934\pi\)
\(458\) −30.9648 + 4.66719i −1.44689 + 0.218084i
\(459\) −12.4792 9.65062i −0.582479 0.450453i
\(460\) 0.235699 + 0.408243i 0.0109895 + 0.0190345i
\(461\) 8.81547 22.4614i 0.410577 1.04613i −0.564729 0.825277i \(-0.691019\pi\)
0.975306 0.220857i \(-0.0708855\pi\)
\(462\) −4.26445 1.33942i −0.198400 0.0623157i
\(463\) 14.1713 + 36.1078i 0.658595 + 1.67807i 0.732465 + 0.680805i \(0.238370\pi\)
−0.0738699 + 0.997268i \(0.523535\pi\)
\(464\) 12.7124 15.9409i 0.590159 0.740036i
\(465\) 1.18828 0.0355514i 0.0551054 0.00164866i
\(466\) 1.56262 + 0.752518i 0.0723870 + 0.0348597i
\(467\) −10.0845 1.51999i −0.466654 0.0703368i −0.0884935 0.996077i \(-0.528205\pi\)
−0.378161 + 0.925740i \(0.623443\pi\)
\(468\) 1.93807 2.02698i 0.0895874 0.0936971i
\(469\) 15.1902 1.74777i 0.701416 0.0807047i
\(470\) −1.22388 + 3.11840i −0.0564535 + 0.143841i
\(471\) 12.6160 6.54735i 0.581317 0.301686i
\(472\) −20.5251 35.5505i −0.944743 1.63634i
\(473\) −0.905976 + 2.30839i −0.0416568 + 0.106140i
\(474\) −2.20502 2.60145i −0.101280 0.119488i
\(475\) −1.02195 13.6369i −0.0468902 0.625706i
\(476\) 0.527288 1.21637i 0.0241682 0.0557521i
\(477\) −2.55983 + 15.4129i −0.117206 + 0.705710i
\(478\) 13.9677 35.5891i 0.638867 1.62781i
\(479\) 7.49730 3.61051i 0.342561 0.164968i −0.254691 0.967023i \(-0.581974\pi\)
0.597251 + 0.802054i \(0.296259\pi\)
\(480\) −0.736751 0.869205i −0.0336279 0.0396736i
\(481\) −49.0475 23.6200i −2.23638 1.07698i
\(482\) −4.05691 3.76426i −0.184787 0.171457i
\(483\) 4.02981 + 18.0832i 0.183363 + 0.822815i
\(484\) −1.26814 + 1.17666i −0.0576427 + 0.0534847i
\(485\) 7.68014 2.36901i 0.348737 0.107571i
\(486\) −20.8805 + 3.14610i −0.947159 + 0.142710i
\(487\) 14.9776 + 13.8972i 0.678700 + 0.629742i 0.942253 0.334903i \(-0.108704\pi\)
−0.263552 + 0.964645i \(0.584894\pi\)
\(488\) −3.16990 + 42.2994i −0.143495 + 1.91480i
\(489\) −25.9292 + 13.4565i −1.17256 + 0.608523i
\(490\) 2.93493 + 6.02168i 0.132586 + 0.272032i
\(491\) −4.05274 + 7.01956i −0.182898 + 0.316788i −0.942866 0.333172i \(-0.891881\pi\)
0.759968 + 0.649960i \(0.225214\pi\)
\(492\) 0.734305 + 1.71804i 0.0331050 + 0.0774553i
\(493\) 3.78138 16.5673i 0.170305 0.746154i
\(494\) −8.51640 21.6994i −0.383171 0.976304i
\(495\) −0.471620 + 1.45139i −0.0211977 + 0.0652352i
\(496\) 0.787508 + 3.45030i 0.0353602 + 0.154923i
\(497\) 18.1941 + 34.2294i 0.816115 + 1.53540i
\(498\) 23.8459 + 6.58133i 1.06856 + 0.294916i
\(499\) 31.3500 + 15.0974i 1.40342 + 0.675851i 0.973852 0.227183i \(-0.0729516\pi\)
0.429568 + 0.903035i \(0.358666\pi\)
\(500\) −0.812078 + 0.753498i −0.0363172 + 0.0336975i
\(501\) −9.53660 1.14692i −0.426064 0.0512406i
\(502\) −26.1666 + 3.94398i −1.16787 + 0.176028i
\(503\) −21.4243 + 10.3174i −0.955264 + 0.460031i −0.845529 0.533930i \(-0.820715\pi\)
−0.109735 + 0.993961i \(0.535000\pi\)
\(504\) −9.03868 21.4518i −0.402615 0.955538i
\(505\) −0.629227 0.303020i −0.0280003 0.0134842i
\(506\) 3.76823 + 1.16235i 0.167518 + 0.0516726i
\(507\) −30.1892 13.4415i −1.34075 0.596957i
\(508\) 0.913305 + 1.58189i 0.0405213 + 0.0701850i
\(509\) 42.4251 1.88046 0.940230 0.340540i \(-0.110610\pi\)
0.940230 + 0.340540i \(0.110610\pi\)
\(510\) 4.59717 + 2.04685i 0.203566 + 0.0906360i
\(511\) 5.67376e−5 0 0.000296045i 2.50992e−6 0 1.30963e-5i
\(512\) 15.4366 19.3568i 0.682206 0.855459i
\(513\) 4.42774 15.1539i 0.195490 0.669062i
\(514\) 34.2970 23.3833i 1.51277 1.03139i
\(515\) 7.60084 + 3.66037i 0.334933 + 0.161295i
\(516\) −0.931665 + 0.318191i −0.0410143 + 0.0140076i
\(517\) −0.920893 2.34640i −0.0405008 0.103194i
\(518\) −26.0571 + 22.5311i −1.14488 + 0.989958i
\(519\) −2.29788 21.8651i −0.100866 0.959773i
\(520\) −5.86748 + 10.1628i −0.257306 + 0.445667i
\(521\) 2.23579 3.87250i 0.0979517 0.169657i −0.812885 0.582424i \(-0.802104\pi\)
0.910837 + 0.412767i \(0.135438\pi\)
\(522\) −12.5305 18.9838i −0.548447 0.830899i
\(523\) −24.8605 + 23.0671i −1.08707 + 1.00866i −0.0871496 + 0.996195i \(0.527776\pi\)
−0.999922 + 0.0124602i \(0.996034\pi\)
\(524\) 0.0429286 + 0.572842i 0.00187534 + 0.0250247i
\(525\) −18.6289 + 8.85365i −0.813031 + 0.386405i
\(526\) −1.65916 + 22.1400i −0.0723430 + 0.965351i
\(527\) 1.83905 + 2.30610i 0.0801104 + 0.100455i
\(528\) −4.51058 0.542466i −0.196298 0.0236078i
\(529\) 1.48091 + 6.48827i 0.0643872 + 0.282099i
\(530\) −0.372451 4.97002i −0.0161783 0.215884i
\(531\) −41.0736 + 8.72955i −1.78244 + 0.378830i
\(532\) 1.32594 + 0.0464849i 0.0574868 + 0.00201538i
\(533\) 27.1359 25.1785i 1.17539 1.09060i
\(534\) 26.4163 + 7.29075i 1.14315 + 0.315501i
\(535\) −3.57506 0.538854i −0.154563 0.0232967i
\(536\) 16.1962 4.99586i 0.699568 0.215788i
\(537\) 1.70309 + 0.204822i 0.0734937 + 0.00883873i
\(538\) 1.59554 + 2.76355i 0.0687885 + 0.119145i
\(539\) −4.70064 1.81935i −0.202471 0.0783650i
\(540\) −0.560622 + 0.229744i −0.0241253 + 0.00988660i
\(541\) −34.4264 23.4715i −1.48011 1.00912i −0.990550 0.137149i \(-0.956206\pi\)
−0.489557 0.871971i \(-0.662842\pi\)
\(542\) 2.69673 11.8152i 0.115835 0.507504i
\(543\) 23.1959 + 20.2661i 0.995433 + 0.869702i
\(544\) 0.629089 2.75622i 0.0269720 0.118172i
\(545\) −9.99492 3.08302i −0.428135 0.132062i
\(546\) −25.8957 + 23.7814i −1.10823 + 1.01775i
\(547\) −13.6079 + 4.19748i −0.581832 + 0.179471i −0.571679 0.820477i \(-0.693708\pi\)
−0.0101523 + 0.999948i \(0.503232\pi\)
\(548\) −0.127914 1.70690i −0.00546422 0.0729150i
\(549\) 40.1488 + 16.4555i 1.71351 + 0.702304i
\(550\) −0.328080 + 4.37792i −0.0139894 + 0.186675i
\(551\) 16.8164 2.53467i 0.716404 0.107981i
\(552\) 8.07125 + 18.8842i 0.343535 + 0.803764i
\(553\) −2.29085 3.08874i −0.0974170 0.131347i
\(554\) −20.3317 + 13.8620i −0.863813 + 0.588938i
\(555\) 7.60457 + 8.97173i 0.322796 + 0.380829i
\(556\) −0.493659 0.619029i −0.0209358 0.0262527i
\(557\) 7.24335 12.5458i 0.306911 0.531585i −0.670774 0.741662i \(-0.734038\pi\)
0.977685 + 0.210077i \(0.0673714\pi\)
\(558\) 3.93230 + 0.353997i 0.166467 + 0.0149859i
\(559\) 12.1616 + 15.2501i 0.514379 + 0.645011i
\(560\) 4.05597 + 5.46864i 0.171396 + 0.231092i
\(561\) −3.58323 + 1.22378i −0.151284 + 0.0516679i
\(562\) 4.98556 6.25169i 0.210303 0.263712i
\(563\) 0.130881 + 1.74648i 0.00551596 + 0.0736054i 0.999282 0.0378765i \(-0.0120594\pi\)
−0.993766 + 0.111482i \(0.964440\pi\)
\(564\) 0.474216 0.881218i 0.0199681 0.0371060i
\(565\) −1.53060 3.89990i −0.0643928 0.164070i
\(566\) −4.98654 + 6.25293i −0.209600 + 0.262830i
\(567\) −23.7266 + 2.01192i −0.996424 + 0.0844928i
\(568\) 26.7912 + 33.5951i 1.12413 + 1.40962i
\(569\) 16.1540 27.9796i 0.677212 1.17297i −0.298605 0.954377i \(-0.596521\pi\)
0.975817 0.218589i \(-0.0701453\pi\)
\(570\) −0.225997 + 5.03103i −0.00946598 + 0.210727i
\(571\) 15.6213 39.8024i 0.653730 1.66568i −0.0889551 0.996036i \(-0.528353\pi\)
0.742685 0.669641i \(-0.233552\pi\)
\(572\) −0.149783 0.656243i −0.00626275 0.0274389i
\(573\) 0.521962 + 0.844677i 0.0218053 + 0.0352869i
\(574\) −7.78849 22.0911i −0.325085 0.922066i
\(575\) 16.3946 7.89522i 0.683702 0.329254i
\(576\) −14.1247 21.3989i −0.588527 0.891622i
\(577\) −1.47070 + 19.6251i −0.0612260 + 0.817005i 0.879080 + 0.476674i \(0.158158\pi\)
−0.940306 + 0.340330i \(0.889461\pi\)
\(578\) −2.34595 10.2783i −0.0975785 0.427519i
\(579\) 8.48499 0.253856i 0.352624 0.0105499i
\(580\) −0.478423 0.443912i −0.0198654 0.0184324i
\(581\) 26.3516 + 9.15118i 1.09325 + 0.379655i
\(582\) 26.2636 4.76586i 1.08866 0.197551i
\(583\) 2.74902 + 2.55072i 0.113853 + 0.105640i
\(584\) 0.000122073 0 0.000311037i 5.05142e−6 0 1.28708e-5i
\(585\) 8.03200 + 8.92082i 0.332082 + 0.368830i
\(586\) 0.186954 + 0.127463i 0.00772300 + 0.00526545i
\(587\) −4.20363 7.28091i −0.173503 0.300515i 0.766139 0.642674i \(-0.222175\pi\)
−0.939642 + 0.342159i \(0.888842\pi\)
\(588\) −0.655670 1.89063i −0.0270394 0.0779682i
\(589\) −1.47594 + 2.55640i −0.0608149 + 0.105335i
\(590\) 12.0683 5.81179i 0.496844 0.239268i
\(591\) −37.8605 10.4493i −1.55737 0.429825i
\(592\) −21.8295 + 27.3733i −0.897186 + 1.12504i
\(593\) 13.3101 4.10564i 0.546582 0.168598i −0.00915229 0.999958i \(-0.502913\pi\)
0.555734 + 0.831360i \(0.312437\pi\)
\(594\) −2.13066 + 4.59873i −0.0874219 + 0.188688i
\(595\) 5.02327 + 2.63975i 0.205934 + 0.108219i
\(596\) 1.50968 0.465674i 0.0618389 0.0190748i
\(597\) −11.5561 18.7009i −0.472958 0.765375i
\(598\) 22.7379 21.0977i 0.929822 0.862749i
\(599\) −32.4367 22.1150i −1.32533 0.903594i −0.326199 0.945301i \(-0.605768\pi\)
−0.999130 + 0.0417072i \(0.986720\pi\)
\(600\) −18.4970 + 13.4386i −0.755138 + 0.548628i
\(601\) 25.0872 + 17.1042i 1.02333 + 0.697693i 0.953971 0.299899i \(-0.0969528\pi\)
0.0693571 + 0.997592i \(0.477905\pi\)
\(602\) 11.9145 3.22260i 0.485600 0.131343i
\(603\) 0.259728 17.3357i 0.0105769 0.705964i
\(604\) −0.887800 + 0.823758i −0.0361241 + 0.0335182i
\(605\) −4.61681 5.78930i −0.187700 0.235368i
\(606\) −1.95462 1.24869i −0.0794011 0.0507245i
\(607\) −49.2347 −1.99838 −0.999188 0.0403012i \(-0.987168\pi\)
−0.999188 + 0.0403012i \(0.987168\pi\)
\(608\) 2.79767 0.421680i 0.113460 0.0171014i
\(609\) −12.7108 22.2792i −0.515069 0.902798i
\(610\) −13.6865 2.06292i −0.554152 0.0835250i
\(611\) −19.6053 2.95503i −0.793147 0.119548i
\(612\) −1.29044 0.771041i −0.0521631 0.0311675i
\(613\) −9.69903 + 6.61269i −0.391740 + 0.267084i −0.743132 0.669144i \(-0.766661\pi\)
0.351392 + 0.936228i \(0.385708\pi\)
\(614\) −2.07964 5.29883i −0.0839274 0.213843i
\(615\) −7.56816 + 2.58475i −0.305178 + 0.104227i
\(616\) −5.49230 1.02580i −0.221291 0.0413307i
\(617\) 35.2610 5.31473i 1.41955 0.213963i 0.606005 0.795461i \(-0.292771\pi\)
0.813548 + 0.581498i \(0.197533\pi\)
\(618\) 23.6111 + 15.0837i 0.949779 + 0.606756i
\(619\) −27.9299 −1.12260 −0.561299 0.827613i \(-0.689698\pi\)
−0.561299 + 0.827613i \(0.689698\pi\)
\(620\) 0.112017 0.0168839i 0.00449872 0.000678073i
\(621\) 20.9229 1.88243i 0.839607 0.0755392i
\(622\) −26.9156 12.9619i −1.07922 0.519724i
\(623\) 29.1921 + 10.1376i 1.16955 + 0.406154i
\(624\) −21.4349 + 28.5924i −0.858081 + 1.14461i
\(625\) 11.0749 + 13.8875i 0.442996 + 0.555499i
\(626\) 36.4170 + 24.8287i 1.45551 + 0.992353i
\(627\) −2.45016 2.89065i −0.0978499 0.115441i
\(628\) 1.11909 0.762982i 0.0446565 0.0304463i
\(629\) −6.49330 + 28.4490i −0.258905 + 1.13434i
\(630\) 7.20062 2.41801i 0.286880 0.0963359i
\(631\) 5.43170 + 23.7978i 0.216233 + 0.947377i 0.960234 + 0.279198i \(0.0900686\pi\)
−0.744001 + 0.668179i \(0.767074\pi\)
\(632\) −3.12482 2.89941i −0.124299 0.115332i
\(633\) −18.9298 + 6.46507i −0.752390 + 0.256963i
\(634\) 26.4278 8.15190i 1.04958 0.323753i
\(635\) −7.04426 + 3.39234i −0.279543 + 0.134621i
\(636\) −0.0668114 + 1.48732i −0.00264924 + 0.0589761i
\(637\) −30.8805 + 24.8653i −1.22353 + 0.985199i
\(638\) −5.45962 −0.216149
\(639\) 41.1522 15.4437i 1.62795 0.610942i
\(640\) 5.03117 + 4.66824i 0.198874 + 0.184528i
\(641\) −3.88273 + 4.86880i −0.153359 + 0.192306i −0.852576 0.522604i \(-0.824961\pi\)
0.699217 + 0.714910i \(0.253532\pi\)
\(642\) −11.5746 3.19451i −0.456812 0.126077i
\(643\) −21.6372 6.67418i −0.853286 0.263204i −0.162898 0.986643i \(-0.552084\pi\)
−0.690388 + 0.723439i \(0.742560\pi\)
\(644\) 0.587007 + 1.66497i 0.0231313 + 0.0656092i
\(645\) −1.06015 4.07849i −0.0417433 0.160590i
\(646\) −10.3241 + 7.03883i −0.406195 + 0.276939i
\(647\) 15.8185 + 4.87935i 0.621888 + 0.191827i 0.589658 0.807653i \(-0.299263\pi\)
0.0322306 + 0.999480i \(0.489739\pi\)
\(648\) −25.4441 + 7.02098i −0.999540 + 0.275810i
\(649\) −3.68217 + 9.38203i −0.144538 + 0.368277i
\(650\) 28.5319 + 19.4527i 1.11911 + 0.762999i
\(651\) 4.39901 + 0.686161i 0.172411 + 0.0268928i
\(652\) −2.30001 + 1.56812i −0.0900755 + 0.0614124i
\(653\) −2.00745 8.79521i −0.0785575 0.344183i 0.920340 0.391118i \(-0.127912\pi\)
−0.998898 + 0.0469353i \(0.985055\pi\)
\(654\) −31.7342 14.1294i −1.24091 0.552502i
\(655\) −2.45884 −0.0960750
\(656\) −11.9038 20.6180i −0.464767 0.804999i
\(657\) 0.000341182 0 2.04334e-5i 1.33108e−5 0 7.97184e-7i
\(658\) −6.64976 + 10.6386i −0.259235 + 0.414736i
\(659\) 13.1556 + 1.98289i 0.512470 + 0.0772425i 0.400187 0.916434i \(-0.368945\pi\)
0.112284 + 0.993676i \(0.464183\pi\)
\(660\) −0.0281051 + 0.142680i −0.00109399 + 0.00555381i
\(661\) 1.17299 + 15.6525i 0.0456240 + 0.608810i 0.972419 + 0.233242i \(0.0749334\pi\)
−0.926795 + 0.375568i \(0.877448\pi\)
\(662\) −1.25665 16.7688i −0.0488411 0.651740i
\(663\) −5.75611 + 29.2218i −0.223549 + 1.13488i
\(664\) 30.5762 + 4.60863i 1.18659 + 0.178849i
\(665\) −0.622546 + 5.64476i −0.0241413 + 0.218894i
\(666\) 21.5172 + 32.5986i 0.833773 + 1.26317i
\(667\) 11.3146 + 19.5975i 0.438104 + 0.758818i
\(668\) −0.915293 −0.0354138
\(669\) −4.79224 2.13370i −0.185279 0.0824937i
\(670\) 1.23067 + 5.39191i 0.0475449 + 0.208308i
\(671\) 8.60492 5.86674i 0.332189 0.226483i
\(672\) −2.11464 3.70648i −0.0815739 0.142980i
\(673\) 13.9819 + 9.53272i 0.538964 + 0.367459i 0.801998 0.597327i \(-0.203771\pi\)
−0.263034 + 0.964787i \(0.584723\pi\)
\(674\) −12.3021 + 31.3453i −0.473860 + 1.20737i
\(675\) 7.22640 + 22.2430i 0.278144 + 0.856133i
\(676\) −3.00909 0.928182i −0.115734 0.0356993i
\(677\) −22.3970 + 15.2700i −0.860788 + 0.586875i −0.911251 0.411851i \(-0.864883\pi\)
0.0504635 + 0.998726i \(0.483930\pi\)
\(678\) −3.50039 13.4663i −0.134432 0.517171i
\(679\) 29.9027 3.44059i 1.14756 0.132038i
\(680\) 6.01080 + 1.85409i 0.230504 + 0.0711010i
\(681\) −35.8045 9.88182i −1.37203 0.378672i
\(682\) 0.590851 0.740903i 0.0226248 0.0283707i
\(683\) 17.3551 + 16.1031i 0.664073 + 0.616170i 0.938435 0.345457i \(-0.112276\pi\)
−0.274362 + 0.961627i \(0.588467\pi\)
\(684\) 0.246479 1.48407i 0.00942435 0.0567448i
\(685\) 7.32662 0.279936
\(686\) 6.66428 + 24.1863i 0.254443 + 0.923436i
\(687\) −1.79681 + 39.9997i −0.0685527 + 1.52608i
\(688\) 11.3025 5.44302i 0.430905 0.207513i
\(689\) 28.1870 8.69454i 1.07384 0.331236i
\(690\) −6.34156 + 2.16583i −0.241419 + 0.0824516i
\(691\) 0.626324 + 0.581144i 0.0238265 + 0.0221078i 0.691996 0.721901i \(-0.256731\pi\)
−0.668170 + 0.744009i \(0.732922\pi\)
\(692\) −0.466183 2.04248i −0.0177216 0.0776435i
\(693\) −2.73417 + 5.01889i −0.103863 + 0.190652i
\(694\) 9.21375 40.3681i 0.349749 1.53235i
\(695\) 2.80016 1.90912i 0.106216 0.0724170i
\(696\) −18.3844 21.6896i −0.696860 0.822142i
\(697\) −16.3947 11.1777i −0.620993 0.423386i
\(698\) 4.78769 + 6.00358i 0.181217 + 0.227239i
\(699\) 1.33021 1.77440i 0.0503132 0.0671139i
\(700\) −1.66171 + 1.04959i −0.0628068 + 0.0396708i
\(701\) 42.1313 + 20.2893i 1.59128 + 0.766318i 0.999217 0.0395764i \(-0.0126009\pi\)
0.592059 + 0.805894i \(0.298315\pi\)
\(702\) 22.9467 + 32.6002i 0.866069 + 1.23042i
\(703\) −28.8768 + 4.35248i −1.08911 + 0.164157i
\(704\) −6.15419 −0.231945
\(705\) 3.60969 + 2.30601i 0.135949 + 0.0868495i
\(706\) −17.9467 + 2.70503i −0.675432 + 0.101805i
\(707\) −2.10809 1.54819i −0.0792831 0.0582255i
\(708\) −3.78658 + 1.29323i −0.142309 + 0.0486025i
\(709\) −8.24159 20.9992i −0.309519 0.788642i −0.997990 0.0633779i \(-0.979813\pi\)
0.688470 0.725265i \(-0.258283\pi\)
\(710\) −11.5848 + 7.89841i −0.434771 + 0.296422i
\(711\) −3.80850 + 2.12341i −0.142830 + 0.0796341i
\(712\) 33.8721 + 5.10540i 1.26941 + 0.191333i
\(713\) −3.88399 0.585417i −0.145456 0.0219240i
\(714\) 15.5167 + 10.6962i 0.580697 + 0.400296i
\(715\) 2.84901 0.429420i 0.106547 0.0160594i
\(716\) 0.163457 0.00610868
\(717\) −41.1960 26.3176i −1.53849 0.982849i
\(718\) 1.11422 + 1.39719i 0.0415823 + 0.0521426i
\(719\) 27.0063 25.0582i 1.00716 0.934512i 0.00930870 0.999957i \(-0.497037\pi\)
0.997856 + 0.0654442i \(0.0208464\pi\)
\(720\) 6.74298 3.75952i 0.251296 0.140109i
\(721\) 25.4650 + 18.7015i 0.948367 + 0.696481i
\(722\) 10.9333 + 7.45422i 0.406896 + 0.277417i
\(723\) −5.72492 + 4.15931i −0.212912 + 0.154686i
\(724\) 2.42512 + 1.65342i 0.0901289 + 0.0614489i
\(725\) −18.4678 + 17.1356i −0.685876 + 0.636400i
\(726\) −12.9275 20.9202i −0.479784 0.776422i
\(727\) 3.49706 1.07870i 0.129699 0.0400068i −0.229226 0.973373i \(-0.573620\pi\)
0.358925 + 0.933366i \(0.383143\pi\)
\(728\) −28.5883 + 33.3790i −1.05955 + 1.23711i
\(729\) −1.21306 + 26.9727i −0.0449282 + 0.998990i
\(730\) −0.000104185 0 3.21370e-5i −3.85608e−6 0 1.18944e-6i
\(731\) 6.51893 8.17448i 0.241111 0.302344i
\(732\) 3.98565 + 1.10001i 0.147314 + 0.0406577i
\(733\) −4.19224 + 2.01887i −0.154844 + 0.0745688i −0.509701 0.860352i \(-0.670244\pi\)
0.354857 + 0.934921i \(0.384530\pi\)
\(734\) −9.45348 + 16.3739i −0.348934 + 0.604372i
\(735\) 8.27967 2.19389i 0.305400 0.0809230i
\(736\) 1.88236 + 3.26034i 0.0693846 + 0.120178i
\(737\) −3.43831 2.34420i −0.126652 0.0863498i
\(738\) −25.9799 + 5.52163i −0.956334 + 0.203254i
\(739\) −7.99223 20.3639i −0.293999 0.749097i −0.999196 0.0400858i \(-0.987237\pi\)
0.705197 0.709011i \(-0.250858\pi\)
\(740\) 0.821538 + 0.762276i 0.0302003 + 0.0280218i
\(741\) −29.3272 + 5.32178i −1.07736 + 0.195501i
\(742\) 2.04614 18.5528i 0.0751161 0.681094i
\(743\) −26.4626 24.5537i −0.970818 0.900788i 0.0242774 0.999705i \(-0.492272\pi\)
−0.995096 + 0.0989175i \(0.968462\pi\)
\(744\) 4.93300 0.147587i 0.180853 0.00541080i
\(745\) 1.50478 + 6.59285i 0.0551307 + 0.241543i
\(746\) 0.166072 2.21608i 0.00608033 0.0811363i
\(747\) 14.1493 28.2891i 0.517694 1.03505i
\(748\) −0.325079 + 0.156550i −0.0118861 + 0.00572403i
\(749\) −12.7908 4.44188i −0.467365 0.162303i
\(750\) −8.27836 13.3967i −0.302283 0.489177i
\(751\) −11.8346 51.8506i −0.431850 1.89206i −0.451541 0.892250i \(-0.649126\pi\)
0.0196916 0.999806i \(-0.493732\pi\)
\(752\) −4.65862 + 11.8700i −0.169882 + 0.432853i
\(753\) −1.51838 + 33.8015i −0.0553330 + 1.23179i
\(754\) −21.4721 + 37.1908i −0.781968 + 1.35441i
\(755\) −3.23214 4.05297i −0.117630 0.147503i
\(756\) −2.22185 + 0.460309i −0.0808078 + 0.0167413i
\(757\) 1.01160 1.26851i 0.0367674 0.0461048i −0.763108 0.646271i \(-0.776328\pi\)
0.799875 + 0.600166i \(0.204899\pi\)
\(758\) 2.27553 + 5.79796i 0.0826511 + 0.210592i
\(759\) 2.38940 4.44014i 0.0867297 0.161167i
\(760\) 0.470432 + 6.27748i 0.0170644 + 0.227708i
\(761\) −22.2693 + 27.9248i −0.807260 + 1.01227i 0.192262 + 0.981344i \(0.438418\pi\)
−0.999522 + 0.0309283i \(0.990154\pi\)
\(762\) −24.5727 + 8.39229i −0.890175 + 0.304021i
\(763\) −34.6756 18.2222i −1.25534 0.659687i
\(764\) 0.0589928 + 0.0739746i 0.00213428 + 0.00267631i
\(765\) 3.70388 5.26148i 0.133914 0.190229i
\(766\) 8.20760 14.2160i 0.296553 0.513645i
\(767\) 49.4284 + 61.9813i 1.78476 + 2.23802i
\(768\) −4.40515 5.19712i −0.158957 0.187535i
\(769\) 22.2508 15.1703i 0.802384 0.547056i −0.0912627 0.995827i \(-0.529090\pi\)
0.893647 + 0.448770i \(0.148138\pi\)
\(770\) 0.467714 1.76213i 0.0168553 0.0635028i
\(771\) −20.8597 48.8051i −0.751244 1.75767i
\(772\) 0.799863 0.120560i 0.0287877 0.00433905i
\(773\) −1.89827 + 25.3306i −0.0682759 + 0.911078i 0.852936 + 0.522016i \(0.174820\pi\)
−0.921212 + 0.389062i \(0.872799\pi\)
\(774\) −1.87834 13.8686i −0.0675154 0.498498i
\(775\) −0.326784 4.36063i −0.0117384 0.156639i
\(776\) 31.8831 9.83463i 1.14454 0.353043i
\(777\) 21.8268 + 38.2574i 0.783031 + 1.37247i
\(778\) −5.82788 1.79766i −0.208939 0.0644493i
\(779\) 4.41877 19.3599i 0.158319 0.693640i
\(780\) 0.861397 + 0.752596i 0.0308430 + 0.0269473i
\(781\) 2.34760 10.2855i 0.0840039 0.368045i
\(782\) −13.7375 9.36609i −0.491253 0.334931i
\(783\) −26.9123 + 11.0287i −0.961769 + 0.394134i
\(784\) 11.1716 + 22.9211i 0.398985 + 0.818611i
\(785\) 2.89874 + 5.02076i 0.103460 + 0.179199i
\(786\) −8.10768 0.975071i −0.289191 0.0347796i
\(787\) 11.1417 3.43676i 0.397158 0.122507i −0.0897412 0.995965i \(-0.528604\pi\)
0.486899 + 0.873458i \(0.338128\pi\)
\(788\) −3.70082 0.557809i −0.131836 0.0198711i
\(789\) 27.3654 + 7.55267i 0.974233 + 0.268882i
\(790\) 1.01964 0.946087i 0.0362771 0.0336603i
\(791\) −2.95327 15.4095i −0.105006 0.547900i
\(792\) −1.95786 + 6.02525i −0.0695697 + 0.214098i
\(793\) −6.12179 81.6896i −0.217391 2.90088i
\(794\) −2.58669 11.3330i −0.0917983 0.402195i
\(795\) −6.32709 0.760928i −0.224399 0.0269874i
\(796\) −1.30608 1.63777i −0.0462928 0.0580493i
\(797\) −0.538683 + 7.18822i −0.0190811 + 0.254620i 0.979503 + 0.201429i \(0.0645584\pi\)
−0.998584 + 0.0531914i \(0.983061\pi\)
\(798\) −4.29122 + 18.3659i −0.151908 + 0.650146i
\(799\) 0.794210 + 10.5980i 0.0280971 + 0.374930i
\(800\) −3.07239 + 2.85076i −0.108625 + 0.100790i
\(801\) 15.6744 31.3385i 0.553829 1.10729i
\(802\) −20.4919 + 35.4931i −0.723595 + 1.25330i
\(803\) 4.10188e−5 0 7.10466e-5i 1.44752e−6 0 2.50718e-6i
\(804\) −0.172675 1.64306i −0.00608978 0.0579462i
\(805\) −7.29453 + 1.97300i −0.257098 + 0.0695389i
\(806\) −2.72326 6.93874i −0.0959226 0.244407i
\(807\) 3.86125 1.31873i 0.135922 0.0464215i
\(808\) −2.61215 1.25795i −0.0918952 0.0442544i
\(809\) −10.9433 + 7.46104i −0.384747 + 0.262316i −0.740212 0.672374i \(-0.765275\pi\)
0.355465 + 0.934690i \(0.384323\pi\)
\(810\) −1.66412 8.45050i −0.0584711 0.296920i
\(811\) 5.49459 6.89000i 0.192941 0.241941i −0.675945 0.736952i \(-0.736265\pi\)
0.868887 + 0.495011i \(0.164836\pi\)
\(812\) −1.45605 1.96318i −0.0510972 0.0688939i
\(813\) −14.1561 6.30287i −0.496476 0.221051i
\(814\) 9.37515 0.328599
\(815\) −5.95765 10.3190i −0.208687 0.361457i
\(816\) 17.4988 + 7.79118i 0.612580 + 0.272746i
\(817\) 9.99870 + 3.08419i 0.349810 + 0.107902i
\(818\) −23.6350 11.3820i −0.826379 0.397963i
\(819\) 23.4353 + 38.3638i 0.818896 + 1.34054i
\(820\) −0.686602 + 0.330650i −0.0239772 + 0.0115468i
\(821\) 34.6533 5.22314i 1.20941 0.182289i 0.486779 0.873525i \(-0.338172\pi\)
0.722629 + 0.691237i \(0.242934\pi\)
\(822\) 24.1585 + 2.90542i 0.842623 + 0.101338i
\(823\) 26.4876 24.5769i 0.923298 0.856696i −0.0667003 0.997773i \(-0.521247\pi\)
0.989999 + 0.141077i \(0.0450567\pi\)
\(824\) 31.5539 + 15.1955i 1.09923 + 0.529362i
\(825\) 5.41117 + 1.49345i 0.188393 + 0.0519952i
\(826\) 48.4245 13.0977i 1.68490 0.455726i
\(827\) 0.161644 + 0.708209i 0.00562092 + 0.0246268i 0.977661 0.210190i \(-0.0674082\pi\)
−0.972040 + 0.234817i \(0.924551\pi\)
\(828\) 1.95807 0.416156i 0.0680475 0.0144624i
\(829\) −11.4871 29.2687i −0.398964 1.01654i −0.979345 0.202198i \(-0.935192\pi\)
0.580381 0.814345i \(-0.302904\pi\)
\(830\) −2.24520 + 9.83685i −0.0779320 + 0.341442i
\(831\) 12.3659 + 28.9324i 0.428969 + 1.00365i
\(832\) −24.2037 + 41.9221i −0.839114 + 1.45339i
\(833\) 16.6777 + 13.1719i 0.577847 + 0.456379i
\(834\) 9.99021 5.18462i 0.345933 0.179529i
\(835\) 0.292776 3.90683i 0.0101319 0.135201i
\(836\) −0.264696 0.245602i −0.00915470 0.00849432i
\(837\) 1.41584 4.84571i 0.0489386 0.167492i
\(838\) −23.4721 + 7.24019i −0.810831 + 0.250108i
\(839\) −22.4671 + 20.8465i −0.775652 + 0.719700i −0.965011 0.262208i \(-0.915549\pi\)
0.189359 + 0.981908i \(0.439359\pi\)
\(840\) 8.57541 4.07559i 0.295880 0.140621i
\(841\) −1.70793 1.58473i −0.0588941 0.0546457i
\(842\) 6.87038 + 3.30860i 0.236769 + 0.114022i
\(843\) −6.61093 7.79945i −0.227692 0.268627i
\(844\) −1.71736 + 0.827035i −0.0591138 + 0.0284677i
\(845\) 4.92437 12.5471i 0.169403 0.431633i
\(846\) 10.9880 + 9.03519i 0.377774 + 0.310636i
\(847\) −13.0158 24.4872i −0.447227 0.841391i
\(848\) −1.41771 18.9180i −0.0486844 0.649648i
\(849\) 6.61224 + 7.80099i 0.226931 + 0.267729i
\(850\) 6.76256 17.2307i 0.231954 0.591009i
\(851\) −19.4292 33.6524i −0.666025 1.15359i
\(852\) 3.71762 1.92934i 0.127364 0.0660979i
\(853\) 16.2013 41.2803i 0.554723 1.41341i −0.328520 0.944497i \(-0.606550\pi\)
0.883243 0.468915i \(-0.155355\pi\)
\(854\) −48.9674 17.0050i −1.67563 0.581900i
\(855\) 6.25575 + 1.52678i 0.213942 + 0.0522147i
\(856\) −14.8414 2.23698i −0.507268 0.0764584i
\(857\) −27.8721 13.4225i −0.952091 0.458503i −0.107672 0.994186i \(-0.534340\pi\)
−0.844419 + 0.535684i \(0.820054\pi\)
\(858\) 9.56450 0.286153i 0.326527 0.00976911i
\(859\) 14.8052 18.5652i 0.505148 0.633435i −0.462234 0.886758i \(-0.652952\pi\)
0.967382 + 0.253323i \(0.0815235\pi\)
\(860\) −0.146705 0.373797i −0.00500258 0.0127464i
\(861\) −29.6387 + 4.31180i −1.01009 + 0.146946i
\(862\) −3.91330 + 9.97093i −0.133288 + 0.339611i
\(863\) −17.3373 30.0292i −0.590170 1.02220i −0.994209 0.107463i \(-0.965727\pi\)
0.404039 0.914742i \(-0.367606\pi\)
\(864\) −4.47727 + 1.83479i −0.152320 + 0.0624209i
\(865\) 8.86722 1.33652i 0.301495 0.0454430i
\(866\) 29.4866 + 9.09542i 1.00200 + 0.309075i
\(867\) −13.4741 + 0.403123i −0.457606 + 0.0136908i
\(868\) 0.423991 + 0.0148643i 0.0143912 + 0.000504527i
\(869\) −0.0782126 + 1.04367i −0.00265318 + 0.0354042i
\(870\) 7.50590 5.45323i 0.254474 0.184882i
\(871\) −29.4911 + 14.2022i −0.999269 + 0.481222i
\(872\) −41.4925 12.7988i −1.40511 0.433420i
\(873\) 0.511288 34.1263i 0.0173045 1.15500i
\(874\) 3.70260 16.2221i 0.125242 0.548722i
\(875\) −8.33490 15.6809i −0.281771 0.530110i
\(876\) 3.20462e−5 0 5.81518e-6i 1.08274e−6 0 1.96477e-7i
\(877\) −2.57461 + 11.2801i −0.0869384 + 0.380902i −0.999614 0.0277829i \(-0.991155\pi\)
0.912676 + 0.408685i \(0.134012\pi\)
\(878\) −11.6746 1.75967i −0.394000 0.0593860i
\(879\) 0.206106 0.203042i 0.00695179 0.00684842i
\(880\) 0.138476 1.84783i 0.00466803 0.0622905i
\(881\) −4.55804 −0.153564 −0.0767822 0.997048i \(-0.524465\pi\)
−0.0767822 + 0.997048i \(0.524465\pi\)
\(882\) 28.1710 3.95069i 0.948567 0.133027i
\(883\) −4.84986 −0.163211 −0.0816055 0.996665i \(-0.526005\pi\)
−0.0816055 + 0.996665i \(0.526005\pi\)
\(884\) −0.212088 + 2.83012i −0.00713330 + 0.0951873i
\(885\) −4.30878 16.5763i −0.144838 0.557206i
\(886\) −46.4998 7.00871i −1.56219 0.235462i
\(887\) 8.38782 36.7495i 0.281636 1.23393i −0.614060 0.789259i \(-0.710465\pi\)
0.895696 0.444667i \(-0.146678\pi\)
\(888\) 31.5693 + 37.2449i 1.05940 + 1.24986i
\(889\) −28.2653 + 7.64510i −0.947989 + 0.256408i
\(890\) −2.48721 + 10.8972i −0.0833716 + 0.365275i
\(891\) 5.24273 + 3.80941i 0.175638 + 0.127620i
\(892\) −0.477664 0.147340i −0.0159934 0.00493330i
\(893\) −9.58257 + 4.61472i −0.320669 + 0.154426i
\(894\) 2.34734 + 22.3357i 0.0785068 + 0.747018i
\(895\) −0.0522853 + 0.697698i −0.00174770 + 0.0233215i
\(896\) 15.3120 + 20.6450i 0.511538 + 0.689702i
\(897\) −20.8488 33.7391i −0.696121 1.12651i
\(898\) −3.34480 1.03173i −0.111617 0.0344294i
\(899\) 5.37733 0.810502i 0.179344 0.0270318i
\(900\) 0.936762 + 2.02215i 0.0312254 + 0.0674051i
\(901\) −7.90574 13.6931i −0.263378 0.456185i
\(902\) −2.32905 + 5.93433i −0.0775490 + 0.197592i
\(903\) −1.09856 15.7435i −0.0365577 0.523912i
\(904\) −6.35407 16.1899i −0.211333 0.538468i
\(905\) −7.83317 + 9.82248i −0.260383 + 0.326510i
\(906\) −9.05028 14.6458i −0.300675 0.486575i
\(907\) 44.0915 + 21.2334i 1.46404 + 0.705042i 0.984968 0.172736i \(-0.0552606\pi\)
0.479068 + 0.877778i \(0.340975\pi\)
\(908\) −3.49985 0.527517i −0.116146 0.0175063i
\(909\) −2.04954 + 2.14356i −0.0679791 + 0.0710975i
\(910\) −10.1641 10.1163i −0.336937 0.335353i
\(911\) 4.49154 11.4443i 0.148811 0.379165i −0.836958 0.547267i \(-0.815668\pi\)
0.985770 + 0.168101i \(0.0537636\pi\)
\(912\) −0.860242 + 19.1503i −0.0284855 + 0.634129i
\(913\) −3.79597 6.57482i −0.125628 0.217595i
\(914\) 13.2138 33.6683i 0.437075 1.11365i
\(915\) −5.97019 + 16.6604i −0.197368 + 0.550777i
\(916\) 0.285127 + 3.80475i 0.00942086 + 0.125713i
\(917\) −9.05201 1.69065i −0.298924 0.0558302i
\(918\) 14.2995 15.8802i 0.471953 0.524124i
\(919\) −12.9716 + 33.0512i −0.427894 + 1.09026i 0.540613 + 0.841271i \(0.318192\pi\)
−0.968507 + 0.248985i \(0.919903\pi\)
\(920\) −7.54691 + 3.63440i −0.248814 + 0.119823i
\(921\) −7.16148 + 1.29954i −0.235979 + 0.0428212i
\(922\) 29.4489 + 14.1818i 0.969848 + 0.467054i
\(923\) −60.8318 56.4436i −2.00230 1.85786i
\(924\) −0.201570 + 0.505939i −0.00663118 + 0.0166442i
\(925\) 31.7125 29.4249i 1.04270 0.967484i
\(926\) −50.2096 + 15.4876i −1.64999 + 0.508954i
\(927\) 24.7578 25.8935i 0.813151 0.850454i
\(928\) −3.82081 3.54519i −0.125424 0.116377i
\(929\) 2.22076 29.6339i 0.0728607 0.972258i −0.834256 0.551378i \(-0.814102\pi\)
0.907116 0.420880i \(-0.138279\pi\)
\(930\) −0.0722662 + 1.60875i −0.00236970 + 0.0527531i
\(931\) −6.17307 + 20.3526i −0.202314 + 0.667030i
\(932\) 0.105660 0.183008i 0.00346100 0.00599464i
\(933\) −22.9124 + 30.5634i −0.750119 + 1.00060i
\(934\) 3.07408 13.4684i 0.100587 0.440700i
\(935\) −0.564233 1.43764i −0.0184524 0.0470159i
\(936\) 33.3437 + 37.0336i 1.08987 + 1.21048i
\(937\) 5.18639 + 22.7231i 0.169432 + 0.742330i 0.986226 + 0.165401i \(0.0528919\pi\)
−0.816794 + 0.576929i \(0.804251\pi\)
\(938\) 0.823227 + 20.6960i 0.0268793 + 0.675749i
\(939\) 40.1476 39.5507i 1.31017 1.29069i
\(940\) 0.367746 + 0.177097i 0.0119945 + 0.00577627i
\(941\) 39.3979 36.5559i 1.28434 1.19169i 0.314137 0.949378i \(-0.398285\pi\)
0.970198 0.242312i \(-0.0779056\pi\)
\(942\) 7.56715 + 17.7047i 0.246551 + 0.576852i
\(943\) 26.1283 3.93820i 0.850853 0.128245i
\(944\) 45.9371 22.1222i 1.49513 0.720015i
\(945\) −1.25407 9.63095i −0.0407950 0.313295i
\(946\) −3.02650 1.45748i −0.0983999 0.0473869i
\(947\) 45.3247 + 13.9808i 1.47285 + 0.454315i 0.924257 0.381772i \(-0.124686\pi\)
0.548597 + 0.836087i \(0.315162\pi\)
\(948\) −0.336156 + 0.244226i −0.0109178 + 0.00793210i
\(949\) −0.000322645 0 0.000558837i −1.04735e−5 0 1.81406e-5i
\(950\) 18.5245 0.601013
\(951\) −3.69604 35.1690i −0.119852 1.14043i
\(952\) 20.8534 + 10.9586i 0.675863 + 0.355169i
\(953\) 36.8434 46.2002i 1.19348 1.49657i 0.370179 0.928960i \(-0.379296\pi\)
0.823297 0.567611i \(-0.192132\pi\)
\(954\) −20.5609 5.01810i −0.665684 0.162467i
\(955\) −0.334623 + 0.228142i −0.0108281 + 0.00738250i
\(956\) −4.19693 2.02114i −0.135739 0.0653683i
\(957\) −1.34917 + 6.84928i −0.0436125 + 0.221406i
\(958\) 4.11819 + 10.4930i 0.133053 + 0.339013i
\(959\) 26.9723 + 5.03763i 0.870980 + 0.162674i
\(960\) 8.46079 6.14698i 0.273071 0.198393i
\(961\) 15.0280 26.0293i 0.484776 0.839656i
\(962\) 36.8714 63.8632i 1.18878 2.05903i
\(963\) −6.86790 + 13.7313i −0.221315 + 0.442483i
\(964\) −0.494301 + 0.458644i −0.0159204 + 0.0147719i
\(965\) 0.258744 + 3.45269i 0.00832925 + 0.111146i
\(966\) −24.8350 + 3.61297i −0.799055 + 0.116245i
\(967\) 1.10416 14.7341i 0.0355075 0.473815i −0.950900 0.309498i \(-0.899839\pi\)
0.986408 0.164317i \(-0.0525420\pi\)
\(968\) −19.1661 24.0335i −0.616021 0.772466i
\(969\) 6.27918 + 14.6913i 0.201716 + 0.471952i
\(970\) 2.42264 + 10.6143i 0.0777863 + 0.340804i
\(971\) 4.12589 + 55.0561i 0.132406 + 1.76684i 0.528792 + 0.848752i \(0.322645\pi\)
−0.396386 + 0.918084i \(0.629736\pi\)
\(972\) 0.192133 + 2.56565i 0.00616266 + 0.0822933i
\(973\) 11.6212 5.10292i 0.372559 0.163592i
\(974\) −20.2887 + 18.8252i −0.650093 + 0.603198i
\(975\) 31.4548 30.9871i 1.00736 0.992382i
\(976\) −52.0969 7.85234i −1.66758 0.251347i
\(977\) −29.1755 + 8.99943i −0.933405 + 0.287917i −0.723912 0.689893i \(-0.757658\pi\)
−0.209494 + 0.977810i \(0.567182\pi\)
\(978\) −15.5524 36.3878i −0.497312 1.16355i
\(979\) −4.20515 7.28353i −0.134397 0.232783i
\(980\) 0.758364 0.301768i 0.0242251 0.00963962i
\(981\) −25.5679 + 36.3200i −0.816319 + 1.15961i
\(982\) −9.07188 6.18510i −0.289495 0.197375i
\(983\) −6.49197 + 28.4432i −0.207062 + 0.907196i 0.759448 + 0.650568i \(0.225469\pi\)
−0.966510 + 0.256629i \(0.917388\pi\)
\(984\) −31.4182 + 10.7302i −1.00158 + 0.342067i
\(985\) 3.56473 15.6181i 0.113582 0.497634i
\(986\) 21.9966 + 6.78505i 0.700514 + 0.216080i
\(987\) 11.7032 + 10.9713i 0.372517 + 0.349221i
\(988\) −2.71405 + 0.837174i −0.0863454 + 0.0266340i
\(989\) 1.04048 + 13.8842i 0.0330853 + 0.441493i
\(990\) −1.91282 0.783995i −0.0607935 0.0249170i
\(991\) 2.86900 38.2842i 0.0911369 1.21614i −0.744791 0.667298i \(-0.767451\pi\)
0.835928 0.548840i \(-0.184930\pi\)
\(992\) 0.894599 0.134839i 0.0284035 0.00428115i
\(993\) −21.3476 2.56737i −0.677446 0.0814731i
\(994\) −48.0794 + 21.1118i −1.52498 + 0.669626i
\(995\) 7.40843 5.05098i 0.234863 0.160127i
\(996\) 1.01676 2.83738i 0.0322174 0.0899059i
\(997\) 23.8669 + 29.9282i 0.755874 + 0.947836i 0.999759 0.0219684i \(-0.00699331\pi\)
−0.243885 + 0.969804i \(0.578422\pi\)
\(998\) −23.5673 + 40.8198i −0.746011 + 1.29213i
\(999\) 46.2133 18.9383i 1.46212 0.599181i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 441.2.z.a.4.17 yes 648
9.7 even 3 441.2.y.a.151.38 648
49.37 even 21 441.2.y.a.184.38 yes 648
441.331 even 21 inner 441.2.z.a.331.17 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.151.38 648 9.7 even 3
441.2.y.a.184.38 yes 648 49.37 even 21
441.2.z.a.4.17 yes 648 1.1 even 1 trivial
441.2.z.a.331.17 yes 648 441.331 even 21 inner