Properties

Label 722.2.i.a.501.10
Level $722$
Weight $2$
Character 722.501
Analytic conductor $5.765$
Analytic rank $0$
Dimension $576$
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] = [722,2,Mod(7,722)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(722, base_ring=CyclotomicField(114))
 
chi = DirichletCharacter(H, H._module([50]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("722.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 722 = 2 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 722.i (of order \(57\), degree \(36\), 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: \(5.76519902594\)
Analytic rank: \(0\)
Dimension: \(576\)
Relative dimension: \(16\) over \(\Q(\zeta_{57})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{57}]$

Embedding invariants

Embedding label 501.10
Character \(\chi\) \(=\) 722.501
Dual form 722.2.i.a.49.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.926494 + 0.376309i) q^{2} +(0.723904 + 0.162231i) q^{3} +(0.716783 + 0.697297i) q^{4} +(-0.0796394 - 2.88917i) q^{5} +(0.609644 + 0.422718i) q^{6} +(-0.647301 - 2.55613i) q^{7} +(0.401695 + 0.915773i) q^{8} +(-2.21535 - 1.04545i) q^{9} +O(q^{10})\) \(q+(0.926494 + 0.376309i) q^{2} +(0.723904 + 0.162231i) q^{3} +(0.716783 + 0.697297i) q^{4} +(-0.0796394 - 2.88917i) q^{5} +(0.609644 + 0.422718i) q^{6} +(-0.647301 - 2.55613i) q^{7} +(0.401695 + 0.915773i) q^{8} +(-2.21535 - 1.04545i) q^{9} +(1.01344 - 2.70677i) q^{10} +(-0.119965 + 1.44777i) q^{11} +(0.405759 + 0.621060i) q^{12} +(0.0137563 + 0.0439813i) q^{13} +(0.362177 - 2.61183i) q^{14} +(0.411060 - 2.10440i) q^{15} +(0.0275543 + 0.999620i) q^{16} +(2.65106 - 2.57900i) q^{17} +(-1.65910 - 1.80226i) q^{18} +(2.81823 - 3.32529i) q^{19} +(1.95752 - 2.12644i) q^{20} +(-0.0539004 - 1.95541i) q^{21} +(-0.655956 + 1.29620i) q^{22} +(5.31850 - 1.19190i) q^{23} +(0.142222 + 0.728099i) q^{24} +(-3.34854 + 0.184744i) q^{25} +(-0.00380545 + 0.0459250i) q^{26} +(-3.19039 - 2.48318i) q^{27} +(1.31841 - 2.28355i) q^{28} +(-3.33804 - 0.943908i) q^{29} +(1.17275 - 1.79503i) q^{30} +(-2.56526 - 1.99662i) q^{31} +(-0.350638 + 0.936511i) q^{32} +(-0.321716 + 1.02858i) q^{33} +(3.42670 - 1.39180i) q^{34} +(-7.33355 + 2.07373i) q^{35} +(-0.858937 - 2.29412i) q^{36} +(-0.864791 + 10.4365i) q^{37} +(3.86242 - 2.02033i) q^{38} +(0.00282311 + 0.0340699i) q^{39} +(2.61383 - 1.23350i) q^{40} +(3.11267 + 2.71082i) q^{41} +(0.685900 - 1.83196i) q^{42} +(-0.886181 - 2.36688i) q^{43} +(-1.09551 + 0.954083i) q^{44} +(-2.84405 + 6.48379i) q^{45} +(5.37608 + 0.897109i) q^{46} +(-2.62346 - 1.81907i) q^{47} +(-0.142222 + 0.728099i) q^{48} +(0.0414974 - 0.0224572i) q^{49} +(-3.17192 - 1.08892i) q^{50} +(2.33751 - 1.43686i) q^{51} +(-0.0208077 + 0.0411172i) q^{52} +(1.23408 + 0.855691i) q^{53} +(-2.02144 - 3.50123i) q^{54} +(4.19240 + 0.231301i) q^{55} +(2.08082 - 1.61957i) q^{56} +(2.57960 - 1.94999i) q^{57} +(-2.73747 - 2.13066i) q^{58} +(6.70943 + 5.84325i) q^{59} +(1.76203 - 1.22177i) q^{60} +(5.14533 + 7.00047i) q^{61} +(-1.62535 - 2.81519i) q^{62} +(-1.23831 + 6.33946i) q^{63} +(-0.677282 + 0.735724i) q^{64} +(0.125974 - 0.0432468i) q^{65} +(-0.685133 + 0.831911i) q^{66} +(5.99241 + 0.663239i) q^{67} +3.69856 q^{68} +4.04344 q^{69} +(-7.57485 - 0.838384i) q^{70} +(-8.15384 + 11.0937i) q^{71} +(0.0674983 - 2.44871i) q^{72} +(3.48324 - 3.38854i) q^{73} +(-4.72857 + 9.34391i) q^{74} +(-2.45399 - 0.409499i) q^{75} +(4.33878 - 0.418364i) q^{76} +(3.77834 - 0.630494i) q^{77} +(-0.0102052 + 0.0326279i) q^{78} +(-1.03959 - 2.77662i) q^{79} +(2.88588 - 0.159218i) q^{80} +(2.76520 + 3.35760i) q^{81} +(1.86376 + 3.68289i) q^{82} +(-4.88406 + 2.64312i) q^{83} +(1.32486 - 1.43919i) q^{84} +(-7.66228 - 7.45398i) q^{85} +(0.0696392 - 2.52638i) q^{86} +(-2.26329 - 1.22483i) q^{87} +(-1.37402 + 0.471701i) q^{88} +(-4.81196 - 4.68115i) q^{89} +(-5.07491 + 4.93695i) q^{90} +(0.103518 - 0.0636320i) q^{91} +(4.64332 + 2.85424i) q^{92} +(-1.53309 - 1.86153i) q^{93} +(-1.74609 - 2.67259i) q^{94} +(-9.83176 - 7.87753i) q^{95} +(-0.405759 + 0.621060i) q^{96} +(13.4169 - 1.48498i) q^{97} +(0.0468979 - 0.00519066i) q^{98} +(1.77934 - 3.08190i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 576 q - 16 q^{2} + q^{3} + 16 q^{4} - q^{5} - q^{6} + 10 q^{7} + 32 q^{8} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 576 q - 16 q^{2} + q^{3} + 16 q^{4} - q^{5} - q^{6} + 10 q^{7} + 32 q^{8} + 13 q^{9} + q^{10} + 34 q^{11} - 2 q^{12} + 2 q^{13} - 14 q^{14} + 38 q^{15} + 16 q^{16} + 12 q^{17} + 26 q^{18} + 7 q^{19} + 2 q^{20} + 75 q^{21} + 36 q^{22} - 45 q^{23} - q^{24} + 9 q^{25} + 4 q^{26} - 110 q^{27} + 33 q^{28} - 36 q^{29} - 57 q^{30} - 4 q^{31} - 16 q^{32} + 81 q^{33} + 7 q^{34} - 2 q^{35} + 13 q^{36} + 14 q^{37} - 30 q^{38} + 40 q^{39} + q^{40} + 11 q^{41} + q^{42} - 9 q^{43} + 2 q^{44} - 85 q^{45} - 33 q^{46} - 213 q^{47} + q^{48} - 76 q^{49} - 20 q^{50} - 3 q^{51} + 2 q^{52} - 144 q^{53} + 78 q^{54} - 6 q^{55} - 29 q^{56} - 8 q^{57} + 4 q^{58} - 5 q^{59} + 69 q^{61} - 2 q^{62} - 95 q^{63} - 32 q^{64} - 84 q^{65} - 5 q^{66} - 5 q^{67} - 62 q^{68} + 2 q^{69} + 211 q^{70} + 129 q^{71} - 13 q^{72} - 8 q^{73} - 31 q^{74} - 36 q^{75} - 18 q^{76} - 10 q^{77} + q^{78} - 2 q^{79} - q^{80} - 64 q^{81} - 49 q^{82} - 72 q^{83} + 2 q^{84} - 6 q^{85} - 10 q^{86} - 81 q^{87} + 4 q^{88} - 7 q^{89} + 81 q^{90} + 35 q^{91} - 7 q^{92} - 80 q^{93} - 27 q^{94} + 285 q^{95} + 2 q^{96} + 38 q^{97} - 171 q^{98} + 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).

\(n\) \(363\)
\(\chi(n)\) \(e\left(\frac{7}{57}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.926494 + 0.376309i 0.655130 + 0.266091i
\(3\) 0.723904 + 0.162231i 0.417946 + 0.0936639i 0.422581 0.906325i \(-0.361124\pi\)
−0.00463447 + 0.999989i \(0.501475\pi\)
\(4\) 0.716783 + 0.697297i 0.358391 + 0.348648i
\(5\) −0.0796394 2.88917i −0.0356158 1.29208i −0.780616 0.625011i \(-0.785095\pi\)
0.745000 0.667064i \(-0.232449\pi\)
\(6\) 0.609644 + 0.422718i 0.248886 + 0.172574i
\(7\) −0.647301 2.55613i −0.244657 0.966128i −0.962796 0.270228i \(-0.912901\pi\)
0.718140 0.695899i \(-0.244994\pi\)
\(8\) 0.401695 + 0.915773i 0.142021 + 0.323775i
\(9\) −2.21535 1.04545i −0.738451 0.348483i
\(10\) 1.01344 2.70677i 0.320476 0.855954i
\(11\) −0.119965 + 1.44777i −0.0361710 + 0.436519i 0.954305 + 0.298834i \(0.0965976\pi\)
−0.990476 + 0.137685i \(0.956034\pi\)
\(12\) 0.405759 + 0.621060i 0.117132 + 0.179285i
\(13\) 0.0137563 + 0.0439813i 0.00381530 + 0.0121982i 0.956293 0.292410i \(-0.0944571\pi\)
−0.952478 + 0.304608i \(0.901475\pi\)
\(14\) 0.362177 2.61183i 0.0967957 0.698040i
\(15\) 0.411060 2.10440i 0.106135 0.543354i
\(16\) 0.0275543 + 0.999620i 0.00688859 + 0.249905i
\(17\) 2.65106 2.57900i 0.642978 0.625498i −0.301737 0.953391i \(-0.597567\pi\)
0.944715 + 0.327893i \(0.106338\pi\)
\(18\) −1.65910 1.80226i −0.391053 0.424797i
\(19\) 2.81823 3.32529i 0.646547 0.762874i
\(20\) 1.95752 2.12644i 0.437716 0.475486i
\(21\) −0.0539004 1.95541i −0.0117620 0.426705i
\(22\) −0.655956 + 1.29620i −0.139850 + 0.276352i
\(23\) 5.31850 1.19190i 1.10898 0.248529i 0.374548 0.927208i \(-0.377798\pi\)
0.734435 + 0.678679i \(0.237447\pi\)
\(24\) 0.142222 + 0.728099i 0.0290310 + 0.148623i
\(25\) −3.34854 + 0.184744i −0.669708 + 0.0369488i
\(26\) −0.00380545 + 0.0459250i −0.000746311 + 0.00900663i
\(27\) −3.19039 2.48318i −0.613992 0.477889i
\(28\) 1.31841 2.28355i 0.249156 0.431551i
\(29\) −3.33804 0.943908i −0.619859 0.175279i −0.0523258 0.998630i \(-0.516663\pi\)
−0.567533 + 0.823351i \(0.692102\pi\)
\(30\) 1.17275 1.79503i 0.214114 0.327726i
\(31\) −2.56526 1.99662i −0.460735 0.358604i 0.357092 0.934069i \(-0.383768\pi\)
−0.817826 + 0.575465i \(0.804821\pi\)
\(32\) −0.350638 + 0.936511i −0.0619845 + 0.165553i
\(33\) −0.321716 + 1.02858i −0.0560036 + 0.179053i
\(34\) 3.42670 1.39180i 0.587674 0.238692i
\(35\) −7.33355 + 2.07373i −1.23960 + 0.350524i
\(36\) −0.858937 2.29412i −0.143156 0.382353i
\(37\) −0.864791 + 10.4365i −0.142171 + 1.71575i 0.436097 + 0.899900i \(0.356361\pi\)
−0.578268 + 0.815847i \(0.696271\pi\)
\(38\) 3.86242 2.02033i 0.626567 0.327741i
\(39\) 0.00282311 + 0.0340699i 0.000452060 + 0.00545555i
\(40\) 2.61383 1.23350i 0.413283 0.195033i
\(41\) 3.11267 + 2.71082i 0.486117 + 0.423360i 0.864762 0.502183i \(-0.167469\pi\)
−0.378645 + 0.925542i \(0.623610\pi\)
\(42\) 0.685900 1.83196i 0.105837 0.282677i
\(43\) −0.886181 2.36688i −0.135141 0.360946i 0.851387 0.524538i \(-0.175762\pi\)
−0.986528 + 0.163592i \(0.947692\pi\)
\(44\) −1.09551 + 0.954083i −0.165155 + 0.143833i
\(45\) −2.84405 + 6.48379i −0.423966 + 0.966546i
\(46\) 5.37608 + 0.897109i 0.792660 + 0.132272i
\(47\) −2.62346 1.81907i −0.382672 0.265339i 0.362812 0.931862i \(-0.381817\pi\)
−0.745484 + 0.666524i \(0.767782\pi\)
\(48\) −0.142222 + 0.728099i −0.0205280 + 0.105092i
\(49\) 0.0414974 0.0224572i 0.00592819 0.00320818i
\(50\) −3.17192 1.08892i −0.448578 0.153997i
\(51\) 2.33751 1.43686i 0.327317 0.201201i
\(52\) −0.0208077 + 0.0411172i −0.00288551 + 0.00570193i
\(53\) 1.23408 + 0.855691i 0.169514 + 0.117538i 0.651526 0.758626i \(-0.274129\pi\)
−0.482012 + 0.876164i \(0.660094\pi\)
\(54\) −2.02144 3.50123i −0.275083 0.476457i
\(55\) 4.19240 + 0.231301i 0.565303 + 0.0311886i
\(56\) 2.08082 1.61957i 0.278061 0.216424i
\(57\) 2.57960 1.94999i 0.341676 0.258282i
\(58\) −2.73747 2.13066i −0.359448 0.279770i
\(59\) 6.70943 + 5.84325i 0.873494 + 0.760726i 0.972141 0.234396i \(-0.0753112\pi\)
−0.0986473 + 0.995122i \(0.531452\pi\)
\(60\) 1.76203 1.22177i 0.227477 0.157729i
\(61\) 5.14533 + 7.00047i 0.658792 + 0.896319i 0.999031 0.0440205i \(-0.0140167\pi\)
−0.340239 + 0.940339i \(0.610508\pi\)
\(62\) −1.62535 2.81519i −0.206420 0.357530i
\(63\) −1.23831 + 6.33946i −0.156012 + 0.798697i
\(64\) −0.677282 + 0.735724i −0.0846602 + 0.0919655i
\(65\) 0.125974 0.0432468i 0.0156251 0.00536411i
\(66\) −0.685133 + 0.831911i −0.0843341 + 0.102401i
\(67\) 5.99241 + 0.663239i 0.732089 + 0.0810276i 0.468321 0.883559i \(-0.344859\pi\)
0.263768 + 0.964586i \(0.415035\pi\)
\(68\) 3.69856 0.448517
\(69\) 4.04344 0.486773
\(70\) −7.57485 0.838384i −0.905368 0.100206i
\(71\) −8.15384 + 11.0937i −0.967683 + 1.31658i −0.0191790 + 0.999816i \(0.506105\pi\)
−0.948504 + 0.316764i \(0.897404\pi\)
\(72\) 0.0674983 2.44871i 0.00795476 0.288584i
\(73\) 3.48324 3.38854i 0.407682 0.396599i −0.464665 0.885487i \(-0.653825\pi\)
0.872347 + 0.488888i \(0.162597\pi\)
\(74\) −4.72857 + 9.34391i −0.549685 + 1.08621i
\(75\) −2.45399 0.409499i −0.283363 0.0472849i
\(76\) 4.33878 0.418364i 0.497692 0.0479896i
\(77\) 3.77834 0.630494i 0.430582 0.0718514i
\(78\) −0.0102052 + 0.0326279i −0.00115551 + 0.00369439i
\(79\) −1.03959 2.77662i −0.116963 0.312394i 0.864912 0.501923i \(-0.167374\pi\)
−0.981875 + 0.189529i \(0.939304\pi\)
\(80\) 2.88588 0.159218i 0.322651 0.0178011i
\(81\) 2.76520 + 3.35760i 0.307245 + 0.373066i
\(82\) 1.86376 + 3.68289i 0.205818 + 0.406707i
\(83\) −4.88406 + 2.64312i −0.536095 + 0.290120i −0.721350 0.692570i \(-0.756478\pi\)
0.185256 + 0.982690i \(0.440689\pi\)
\(84\) 1.32486 1.43919i 0.144555 0.157028i
\(85\) −7.66228 7.45398i −0.831091 0.808498i
\(86\) 0.0696392 2.52638i 0.00750939 0.272427i
\(87\) −2.26329 1.22483i −0.242650 0.131316i
\(88\) −1.37402 + 0.471701i −0.146471 + 0.0502835i
\(89\) −4.81196 4.68115i −0.510067 0.496201i 0.396633 0.917977i \(-0.370179\pi\)
−0.906700 + 0.421777i \(0.861407\pi\)
\(90\) −5.07491 + 4.93695i −0.534942 + 0.520400i
\(91\) 0.103518 0.0636320i 0.0108516 0.00667044i
\(92\) 4.64332 + 2.85424i 0.484099 + 0.297575i
\(93\) −1.53309 1.86153i −0.158974 0.193031i
\(94\) −1.74609 2.67259i −0.180096 0.275657i
\(95\) −9.83176 7.87753i −1.00872 0.808217i
\(96\) −0.405759 + 0.621060i −0.0414126 + 0.0633867i
\(97\) 13.4169 1.48498i 1.36228 0.150777i 0.601023 0.799232i \(-0.294760\pi\)
0.761253 + 0.648455i \(0.224584\pi\)
\(98\) 0.0468979 0.00519066i 0.00473741 0.000524336i
\(99\) 1.77934 3.08190i 0.178830 0.309743i
\(100\) −2.52900 2.20250i −0.252900 0.220250i
\(101\) 4.29974 + 2.02909i 0.427840 + 0.201902i 0.628585 0.777741i \(-0.283635\pi\)
−0.200745 + 0.979644i \(0.564336\pi\)
\(102\) 2.70639 0.451617i 0.267973 0.0447167i
\(103\) −1.27101 + 5.01909i −0.125236 + 0.494546i 0.874715 + 0.484638i \(0.161049\pi\)
−0.999951 + 0.00990787i \(0.996846\pi\)
\(104\) −0.0347510 + 0.0302647i −0.00340762 + 0.00296770i
\(105\) −5.64521 + 0.311455i −0.550916 + 0.0303949i
\(106\) 0.821362 + 1.25719i 0.0797777 + 0.122109i
\(107\) 1.00779 0.784391i 0.0974263 0.0758299i −0.564328 0.825551i \(-0.690865\pi\)
0.661755 + 0.749721i \(0.269812\pi\)
\(108\) −0.555303 4.00455i −0.0534340 0.385338i
\(109\) −16.4798 + 11.4269i −1.57848 + 1.09450i −0.630493 + 0.776195i \(0.717147\pi\)
−0.947990 + 0.318300i \(0.896888\pi\)
\(110\) 3.79719 + 1.79194i 0.362048 + 0.170855i
\(111\) −2.31914 + 7.41471i −0.220123 + 0.703774i
\(112\) 2.53733 0.717488i 0.239755 0.0677962i
\(113\) −4.20809 + 16.6174i −0.395864 + 1.56323i 0.375491 + 0.926826i \(0.377474\pi\)
−0.771355 + 0.636405i \(0.780421\pi\)
\(114\) 3.12378 0.835925i 0.292569 0.0782916i
\(115\) −3.86717 15.2711i −0.360615 1.42404i
\(116\) −1.73447 3.00418i −0.161041 0.278931i
\(117\) 0.0155052 0.111816i 0.00143346 0.0103374i
\(118\) 4.01738 + 7.93856i 0.369830 + 0.730804i
\(119\) −8.30829 5.10709i −0.761620 0.468166i
\(120\) 2.09227 0.468890i 0.190998 0.0428036i
\(121\) 8.76833 + 1.46318i 0.797121 + 0.133016i
\(122\) 2.13277 + 8.42213i 0.193092 + 0.762504i
\(123\) 1.81349 + 2.46735i 0.163517 + 0.222473i
\(124\) −0.446496 3.21989i −0.0400965 0.289155i
\(125\) −0.392949 4.74219i −0.0351464 0.424154i
\(126\) −3.53289 + 5.40748i −0.314734 + 0.481737i
\(127\) 3.46660 6.00433i 0.307611 0.532798i −0.670228 0.742155i \(-0.733804\pi\)
0.977839 + 0.209357i \(0.0671371\pi\)
\(128\) −0.904357 + 0.426776i −0.0799346 + 0.0377221i
\(129\) −0.257529 1.85716i −0.0226741 0.163514i
\(130\) 0.132988 + 0.00733716i 0.0116638 + 0.000643511i
\(131\) −0.315426 + 2.27469i −0.0275589 + 0.198740i −0.999304 0.0372905i \(-0.988127\pi\)
0.971746 + 0.236031i \(0.0758466\pi\)
\(132\) −0.947828 + 0.512939i −0.0824978 + 0.0446456i
\(133\) −10.3241 5.05132i −0.895216 0.438005i
\(134\) 5.30234 + 2.86949i 0.458053 + 0.247886i
\(135\) −6.92025 + 9.41534i −0.595600 + 0.810344i
\(136\) 3.42670 + 1.39180i 0.293837 + 0.119346i
\(137\) 6.95759 + 0.770066i 0.594427 + 0.0657912i 0.402188 0.915557i \(-0.368250\pi\)
0.192239 + 0.981348i \(0.438425\pi\)
\(138\) 3.74623 + 1.52159i 0.318900 + 0.129526i
\(139\) 3.52329 4.27809i 0.298841 0.362863i −0.600871 0.799346i \(-0.705180\pi\)
0.899712 + 0.436483i \(0.143776\pi\)
\(140\) −6.70256 3.62725i −0.566470 0.306558i
\(141\) −1.60403 1.74244i −0.135083 0.146740i
\(142\) −11.7292 + 7.20988i −0.984289 + 0.605040i
\(143\) −0.0653250 + 0.0146397i −0.00546275 + 0.00122423i
\(144\) 0.984011 2.24332i 0.0820009 0.186943i
\(145\) −2.46127 + 9.71933i −0.204397 + 0.807147i
\(146\) 4.50234 1.82869i 0.372616 0.151344i
\(147\) 0.0336834 0.00952474i 0.00277816 0.000785588i
\(148\) −7.89719 + 6.87767i −0.649145 + 0.565341i
\(149\) −1.40827 7.20953i −0.115370 0.590628i −0.993653 0.112488i \(-0.964118\pi\)
0.878284 0.478140i \(-0.158689\pi\)
\(150\) −2.11951 1.30286i −0.173057 0.106378i
\(151\) −14.9890 5.14574i −1.21979 0.418754i −0.361719 0.932287i \(-0.617810\pi\)
−0.858070 + 0.513533i \(0.828336\pi\)
\(152\) 4.17728 + 1.24511i 0.338822 + 0.100992i
\(153\) −8.56926 + 2.94183i −0.692783 + 0.237833i
\(154\) 3.73787 + 0.837677i 0.301206 + 0.0675019i
\(155\) −5.56428 + 7.57048i −0.446934 + 0.608076i
\(156\) −0.0217333 + 0.0263893i −0.00174005 + 0.00211283i
\(157\) −8.13786 1.82374i −0.649472 0.145550i −0.118519 0.992952i \(-0.537815\pi\)
−0.530952 + 0.847402i \(0.678166\pi\)
\(158\) 0.0816945 2.96373i 0.00649927 0.235781i
\(159\) 0.754535 + 0.819643i 0.0598385 + 0.0650020i
\(160\) 2.73366 + 0.938468i 0.216115 + 0.0741924i
\(161\) −6.48933 12.8233i −0.511431 1.01061i
\(162\) 1.29845 + 4.15137i 0.102016 + 0.326162i
\(163\) 16.6365 12.9487i 1.30307 1.01422i 0.304985 0.952357i \(-0.401349\pi\)
0.998085 0.0618626i \(-0.0197041\pi\)
\(164\) 0.340856 + 4.11352i 0.0266164 + 0.321212i
\(165\) 2.99737 + 0.847576i 0.233345 + 0.0659837i
\(166\) −5.51968 + 0.610918i −0.428410 + 0.0474164i
\(167\) 11.3617 + 3.21278i 0.879194 + 0.248612i 0.681647 0.731681i \(-0.261264\pi\)
0.197547 + 0.980293i \(0.436702\pi\)
\(168\) 1.76906 0.834839i 0.136486 0.0644092i
\(169\) 10.6814 7.40629i 0.821644 0.569715i
\(170\) −4.29405 9.78946i −0.329339 0.750817i
\(171\) −9.71981 + 4.42037i −0.743293 + 0.338034i
\(172\) 1.01522 2.31447i 0.0774099 0.176477i
\(173\) 1.91134 + 9.78499i 0.145316 + 0.743939i 0.980890 + 0.194561i \(0.0623282\pi\)
−0.835574 + 0.549378i \(0.814865\pi\)
\(174\) −1.63601 1.98650i −0.124026 0.150596i
\(175\) 2.63974 + 8.43973i 0.199546 + 0.637983i
\(176\) −1.45052 0.0800276i −0.109337 0.00603231i
\(177\) 3.90903 + 5.31843i 0.293821 + 0.399758i
\(178\) −2.69669 6.14784i −0.202126 0.460800i
\(179\) −18.1738 + 3.03266i −1.35837 + 0.226672i −0.798543 0.601937i \(-0.794396\pi\)
−0.559827 + 0.828609i \(0.689133\pi\)
\(180\) −6.55969 + 2.66432i −0.488930 + 0.198586i
\(181\) 3.87436 1.57363i 0.287979 0.116967i −0.227747 0.973720i \(-0.573136\pi\)
0.515727 + 0.856753i \(0.327522\pi\)
\(182\) 0.119854 0.0200000i 0.00888415 0.00148250i
\(183\) 2.58903 + 5.90240i 0.191387 + 0.436318i
\(184\) 3.22793 + 4.39176i 0.237966 + 0.323764i
\(185\) 30.2216 + 1.66737i 2.22194 + 0.122588i
\(186\) −0.719888 2.30161i −0.0527848 0.168762i
\(187\) 3.41575 + 4.14752i 0.249784 + 0.303297i
\(188\) −0.612022 3.13321i −0.0446363 0.228513i
\(189\) −4.28220 + 9.76244i −0.311484 + 0.710113i
\(190\) −6.14468 10.9983i −0.445782 0.797898i
\(191\) 5.73278 + 13.0694i 0.414809 + 0.945670i 0.991667 + 0.128826i \(0.0411208\pi\)
−0.576858 + 0.816845i \(0.695721\pi\)
\(192\) −0.609644 + 0.422718i −0.0439973 + 0.0305070i
\(193\) −7.92145 + 3.73822i −0.570199 + 0.269083i −0.690114 0.723701i \(-0.742440\pi\)
0.119915 + 0.992784i \(0.461738\pi\)
\(194\) 12.9895 + 3.67307i 0.932589 + 0.263711i
\(195\) 0.0982088 0.0108698i 0.00703288 0.000778399i
\(196\) 0.0454039 + 0.0128390i 0.00324314 + 0.000917072i
\(197\) −0.556799 6.71957i −0.0396703 0.478749i −0.987244 0.159213i \(-0.949104\pi\)
0.947574 0.319537i \(-0.103527\pi\)
\(198\) 2.80829 2.18578i 0.199577 0.155337i
\(199\) −4.93892 15.7906i −0.350110 1.11937i −0.948130 0.317884i \(-0.897028\pi\)
0.598019 0.801482i \(-0.295955\pi\)
\(200\) −1.51428 2.99229i −0.107076 0.211587i
\(201\) 4.23033 + 1.45227i 0.298384 + 0.102435i
\(202\) 3.22011 + 3.49797i 0.226566 + 0.246117i
\(203\) −0.252038 + 9.14347i −0.0176896 + 0.641746i
\(204\) 2.67740 + 0.600020i 0.187456 + 0.0420098i
\(205\) 7.58413 9.20890i 0.529699 0.643178i
\(206\) −3.06631 + 4.17187i −0.213640 + 0.290668i
\(207\) −13.0284 2.91974i −0.905538 0.202936i
\(208\) −0.0435855 + 0.0149629i −0.00302211 + 0.00103749i
\(209\) 4.47616 + 4.47907i 0.309622 + 0.309824i
\(210\) −5.34745 1.83578i −0.369009 0.126681i
\(211\) 1.05342 + 0.647535i 0.0725205 + 0.0445782i 0.559459 0.828858i \(-0.311009\pi\)
−0.486938 + 0.873436i \(0.661886\pi\)
\(212\) 0.287895 + 1.47386i 0.0197727 + 0.101225i
\(213\) −7.70234 + 6.70797i −0.527756 + 0.459623i
\(214\) 1.22888 0.347494i 0.0840046 0.0237542i
\(215\) −6.76775 + 2.74882i −0.461557 + 0.187468i
\(216\) 0.992466 3.91916i 0.0675288 0.266665i
\(217\) −3.44314 + 7.84957i −0.233736 + 0.532863i
\(218\) −19.5685 + 4.38541i −1.32535 + 0.297017i
\(219\) 3.07125 1.88789i 0.207536 0.127572i
\(220\) 2.84375 + 3.08914i 0.191726 + 0.208270i
\(221\) 0.149896 + 0.0811198i 0.0100831 + 0.00545671i
\(222\) −4.93890 + 5.99697i −0.331477 + 0.402491i
\(223\) −6.31079 2.56322i −0.422602 0.171646i 0.155091 0.987900i \(-0.450433\pi\)
−0.577693 + 0.816254i \(0.696047\pi\)
\(224\) 2.62082 + 0.290072i 0.175111 + 0.0193812i
\(225\) 7.61134 + 3.09146i 0.507423 + 0.206097i
\(226\) −10.1520 + 13.8124i −0.675304 + 0.918784i
\(227\) −6.54666 3.54287i −0.434517 0.235149i 0.243938 0.969791i \(-0.421561\pi\)
−0.678455 + 0.734642i \(0.737350\pi\)
\(228\) 3.20873 + 0.401027i 0.212503 + 0.0265587i
\(229\) 25.4528 13.7744i 1.68197 0.910235i 0.701721 0.712452i \(-0.252415\pi\)
0.980246 0.197783i \(-0.0633741\pi\)
\(230\) 2.16375 15.6038i 0.142674 1.02889i
\(231\) 2.83744 + 0.156546i 0.186690 + 0.0103000i
\(232\) −0.476470 3.43605i −0.0312818 0.225588i
\(233\) 9.23059 4.35602i 0.604716 0.285372i −0.0998595 0.995002i \(-0.531839\pi\)
0.704575 + 0.709629i \(0.251138\pi\)
\(234\) 0.0564427 0.0977617i 0.00368978 0.00639088i
\(235\) −5.04667 + 7.72450i −0.329208 + 0.503891i
\(236\) 0.734725 + 8.86681i 0.0478265 + 0.577180i
\(237\) −0.302110 2.17866i −0.0196241 0.141519i
\(238\) −5.77574 7.85818i −0.374386 0.509370i
\(239\) −0.464256 1.83331i −0.0300303 0.118587i 0.952570 0.304319i \(-0.0984290\pi\)
−0.982600 + 0.185732i \(0.940534\pi\)
\(240\) 2.11493 + 0.352919i 0.136518 + 0.0227808i
\(241\) 24.5590 5.50379i 1.58198 0.354530i 0.662935 0.748677i \(-0.269311\pi\)
0.919047 + 0.394147i \(0.128960\pi\)
\(242\) 7.57320 + 4.65523i 0.486824 + 0.299250i
\(243\) 6.93351 + 13.7010i 0.444785 + 0.878919i
\(244\) −1.19333 + 8.60564i −0.0763948 + 0.550919i
\(245\) −0.0681876 0.118104i −0.00435634 0.00754541i
\(246\) 0.751705 + 2.96842i 0.0479270 + 0.189259i
\(247\) 0.185019 + 0.0782059i 0.0117725 + 0.00497612i
\(248\) 0.798000 3.15123i 0.0506731 0.200103i
\(249\) −3.96438 + 1.12102i −0.251233 + 0.0710418i
\(250\) 1.42046 4.54148i 0.0898381 0.287228i
\(251\) −24.2162 11.4279i −1.52851 0.721323i −0.536086 0.844163i \(-0.680098\pi\)
−0.992426 + 0.122840i \(0.960800\pi\)
\(252\) −5.30808 + 3.68054i −0.334378 + 0.231852i
\(253\) 1.08756 + 7.84294i 0.0683745 + 0.493081i
\(254\) 5.47127 4.25846i 0.343298 0.267200i
\(255\) −4.33749 6.63902i −0.271624 0.415752i
\(256\) −0.998482 + 0.0550878i −0.0624051 + 0.00344299i
\(257\) −1.29315 + 1.12620i −0.0806642 + 0.0702505i −0.696144 0.717902i \(-0.745103\pi\)
0.615480 + 0.788153i \(0.288962\pi\)
\(258\) 0.460269 1.81756i 0.0286551 0.113156i
\(259\) 27.2368 4.54502i 1.69241 0.282414i
\(260\) 0.120452 + 0.0568425i 0.00747009 + 0.00352522i
\(261\) 6.40813 + 5.58085i 0.396653 + 0.345446i
\(262\) −1.14823 + 1.98879i −0.0709376 + 0.122868i
\(263\) −11.7465 + 1.30010i −0.724318 + 0.0801675i −0.464605 0.885518i \(-0.653804\pi\)
−0.259714 + 0.965686i \(0.583628\pi\)
\(264\) −1.07118 + 0.118558i −0.0659266 + 0.00729676i
\(265\) 2.37395 3.63361i 0.145831 0.223211i
\(266\) −7.66439 8.56509i −0.469934 0.525159i
\(267\) −2.72397 4.16935i −0.166704 0.255160i
\(268\) 3.83278 + 4.65388i 0.234124 + 0.284281i
\(269\) −3.91484 2.40644i −0.238692 0.146723i 0.399163 0.916880i \(-0.369301\pi\)
−0.637855 + 0.770157i \(0.720178\pi\)
\(270\) −9.95465 + 6.11910i −0.605821 + 0.372397i
\(271\) −11.6285 + 11.3123i −0.706379 + 0.687176i −0.959960 0.280138i \(-0.909620\pi\)
0.253581 + 0.967314i \(0.418392\pi\)
\(272\) 2.65106 + 2.57900i 0.160744 + 0.156375i
\(273\) 0.0852598 0.0292697i 0.00516016 0.00177148i
\(274\) 6.15638 + 3.33167i 0.371921 + 0.201273i
\(275\) 0.134243 4.87007i 0.00809513 0.293676i
\(276\) 2.89827 + 2.81948i 0.174455 + 0.169713i
\(277\) 7.37326 8.00950i 0.443016 0.481244i −0.473755 0.880657i \(-0.657102\pi\)
0.916771 + 0.399413i \(0.130786\pi\)
\(278\) 4.87419 2.63778i 0.292334 0.158203i
\(279\) 3.59559 + 7.10508i 0.215262 + 0.425370i
\(280\) −4.84492 5.88286i −0.289539 0.351568i
\(281\) −20.7655 + 1.14566i −1.23876 + 0.0683445i −0.662590 0.748983i \(-0.730543\pi\)
−0.576174 + 0.817327i \(0.695455\pi\)
\(282\) −0.830426 2.21797i −0.0494512 0.132078i
\(283\) −2.32517 + 7.43397i −0.138217 + 0.441904i −0.997585 0.0694533i \(-0.977875\pi\)
0.859368 + 0.511357i \(0.170857\pi\)
\(284\) −13.5801 + 2.26612i −0.805833 + 0.134470i
\(285\) −5.83928 7.29759i −0.345889 0.432272i
\(286\) −0.0660322 0.0110188i −0.00390457 0.000651557i
\(287\) 4.91440 9.71111i 0.290088 0.573229i
\(288\) 1.75586 1.70813i 0.103465 0.100652i
\(289\) −0.0914980 + 3.31938i −0.00538223 + 0.195257i
\(290\) −5.93783 + 8.07870i −0.348681 + 0.474398i
\(291\) 9.95343 + 1.10165i 0.583480 + 0.0645796i
\(292\) 4.85954 0.284383
\(293\) 3.19639 0.186735 0.0933675 0.995632i \(-0.470237\pi\)
0.0933675 + 0.995632i \(0.470237\pi\)
\(294\) 0.0347917 + 0.00385074i 0.00202909 + 0.000224580i
\(295\) 16.3478 19.8500i 0.951806 1.15571i
\(296\) −9.90483 + 3.40033i −0.575707 + 0.197640i
\(297\) 3.97781 4.32105i 0.230816 0.250733i
\(298\) 1.40827 7.20953i 0.0815786 0.417637i
\(299\) 0.125584 + 0.217518i 0.00726272 + 0.0125794i
\(300\) −1.47344 2.00468i −0.0850689 0.115740i
\(301\) −5.47644 + 3.79728i −0.315657 + 0.218872i
\(302\) −11.9509 10.4080i −0.687694 0.598913i
\(303\) 2.78341 + 2.16642i 0.159903 + 0.124457i
\(304\) 3.40168 + 2.72554i 0.195100 + 0.156320i
\(305\) 19.8158 15.4232i 1.13465 0.883132i
\(306\) −9.04640 0.499104i −0.517148 0.0285319i
\(307\) 0.00706848 + 0.0122430i 0.000403419 + 0.000698743i 0.866227 0.499651i \(-0.166538\pi\)
−0.865824 + 0.500349i \(0.833205\pi\)
\(308\) 3.14789 + 2.18270i 0.179368 + 0.124371i
\(309\) −1.73434 + 3.42714i −0.0986630 + 0.194963i
\(310\) −8.00412 + 4.92011i −0.454603 + 0.279444i
\(311\) −24.2406 8.32180i −1.37456 0.471886i −0.464208 0.885726i \(-0.653661\pi\)
−0.910349 + 0.413840i \(0.864187\pi\)
\(312\) −0.0300663 + 0.0162711i −0.00170217 + 0.000921167i
\(313\) 1.50635 7.71166i 0.0851438 0.435889i −0.914375 0.404868i \(-0.867317\pi\)
0.999519 0.0310203i \(-0.00987567\pi\)
\(314\) −6.85339 4.75203i −0.386759 0.268173i
\(315\) 18.4144 + 3.07282i 1.03753 + 0.173134i
\(316\) 1.19097 2.71513i 0.0669971 0.152738i
\(317\) −5.48645 + 4.77816i −0.308150 + 0.268368i −0.796973 0.604015i \(-0.793567\pi\)
0.488823 + 0.872383i \(0.337426\pi\)
\(318\) 0.390633 + 1.04333i 0.0219056 + 0.0585072i
\(319\) 1.76701 4.71947i 0.0989336 0.264240i
\(320\) 2.17957 + 1.89819i 0.121842 + 0.106112i
\(321\) 0.856792 0.404330i 0.0478215 0.0225675i
\(322\) −1.18681 14.3227i −0.0661384 0.798172i
\(323\) −1.10459 16.0838i −0.0614608 0.894925i
\(324\) −0.359195 + 4.33483i −0.0199553 + 0.240824i
\(325\) −0.0541887 0.144732i −0.00300585 0.00802826i
\(326\) 20.2863 5.73642i 1.12355 0.317711i
\(327\) −13.7836 + 5.59842i −0.762235 + 0.309593i
\(328\) −1.23216 + 3.93942i −0.0680344 + 0.217518i
\(329\) −2.95161 + 7.88341i −0.162728 + 0.434627i
\(330\) 2.45810 + 1.91321i 0.135314 + 0.105319i
\(331\) 1.55359 2.37795i 0.0853930 0.130704i −0.791915 0.610631i \(-0.790916\pi\)
0.877308 + 0.479927i \(0.159337\pi\)
\(332\) −5.34384 1.51110i −0.293282 0.0829321i
\(333\) 12.8266 22.2164i 0.702896 1.21745i
\(334\) 9.31754 + 7.25213i 0.509833 + 0.396819i
\(335\) 1.43898 17.3659i 0.0786198 0.948800i
\(336\) 1.95318 0.107760i 0.106555 0.00587879i
\(337\) 2.15606 + 11.0378i 0.117448 + 0.601269i 0.992997 + 0.118140i \(0.0376930\pi\)
−0.875549 + 0.483130i \(0.839500\pi\)
\(338\) 12.6833 2.84239i 0.689880 0.154606i
\(339\) −5.74210 + 11.3467i −0.311868 + 0.616268i
\(340\) −0.294551 10.6858i −0.0159743 0.579517i
\(341\) 3.19839 3.47438i 0.173203 0.188148i
\(342\) −10.6688 + 0.437788i −0.576901 + 0.0236729i
\(343\) −12.5853 13.6713i −0.679545 0.738183i
\(344\) 1.81155 1.76231i 0.0976724 0.0950172i
\(345\) −0.322017 11.6822i −0.0173368 0.628948i
\(346\) −1.91134 + 9.78499i −0.102754 + 0.526044i
\(347\) 0.781136 5.63315i 0.0419336 0.302403i −0.957947 0.286945i \(-0.907360\pi\)
0.999881 0.0154577i \(-0.00492055\pi\)
\(348\) −0.768216 2.45612i −0.0411807 0.131662i
\(349\) 5.75856 + 8.81413i 0.308249 + 0.471810i 0.957366 0.288879i \(-0.0932825\pi\)
−0.649117 + 0.760689i \(0.724861\pi\)
\(350\) −0.730243 + 8.81272i −0.0390331 + 0.471060i
\(351\) 0.0653256 0.174477i 0.00348682 0.00931289i
\(352\) −1.31379 0.619991i −0.0700251 0.0330456i
\(353\) 1.05420 + 2.40333i 0.0561092 + 0.127916i 0.941592 0.336756i \(-0.109330\pi\)
−0.885483 + 0.464673i \(0.846172\pi\)
\(354\) 1.62032 + 6.39850i 0.0861190 + 0.340076i
\(355\) 32.7009 + 22.6743i 1.73559 + 1.20343i
\(356\) −0.184980 6.71073i −0.00980392 0.355668i
\(357\) −5.18588 5.04490i −0.274466 0.267005i
\(358\) −17.9791 4.02921i −0.950225 0.212950i
\(359\) 16.3277 + 6.63174i 0.861743 + 0.350010i 0.764011 0.645203i \(-0.223227\pi\)
0.0977321 + 0.995213i \(0.468841\pi\)
\(360\) −7.08012 −0.373155
\(361\) −3.11511 18.7429i −0.163953 0.986468i
\(362\) 4.18175 0.219788
\(363\) 6.11006 + 2.48169i 0.320695 + 0.130255i
\(364\) 0.118570 + 0.0265721i 0.00621475 + 0.00139276i
\(365\) −10.0675 9.79379i −0.526956 0.512630i
\(366\) 0.177595 + 6.44282i 0.00928304 + 0.336771i
\(367\) 2.57057 + 1.78239i 0.134183 + 0.0930402i 0.634997 0.772514i \(-0.281001\pi\)
−0.500815 + 0.865555i \(0.666966\pi\)
\(368\) 1.33800 + 5.28363i 0.0697480 + 0.275429i
\(369\) −4.06162 9.25957i −0.211440 0.482034i
\(370\) 27.3727 + 12.9175i 1.42304 + 0.671548i
\(371\) 1.38844 3.70836i 0.0720842 0.192528i
\(372\) 0.199146 2.40333i 0.0103252 0.124607i
\(373\) 16.3883 + 25.0842i 0.848554 + 1.29881i 0.952597 + 0.304236i \(0.0984011\pi\)
−0.104043 + 0.994573i \(0.533178\pi\)
\(374\) 1.60392 + 5.12803i 0.0829369 + 0.265164i
\(375\) 0.484871 3.49664i 0.0250386 0.180566i
\(376\) 0.612022 3.13321i 0.0315626 0.161583i
\(377\) −0.00440474 0.159796i −0.000226856 0.00822991i
\(378\) −7.64113 + 7.43341i −0.393017 + 0.382333i
\(379\) 8.15836 + 8.86234i 0.419067 + 0.455228i 0.909163 0.416441i \(-0.136723\pi\)
−0.490096 + 0.871668i \(0.663038\pi\)
\(380\) −1.55426 12.5021i −0.0797319 0.641346i
\(381\) 3.48357 3.78417i 0.178469 0.193869i
\(382\) 0.393241 + 14.2660i 0.0201199 + 0.729914i
\(383\) −12.1348 + 23.9790i −0.620060 + 1.22527i 0.338657 + 0.940910i \(0.390027\pi\)
−0.958717 + 0.284362i \(0.908218\pi\)
\(384\) −0.723904 + 0.162231i −0.0369416 + 0.00827880i
\(385\) −2.12251 10.8661i −0.108173 0.553785i
\(386\) −8.74591 + 0.482525i −0.445155 + 0.0245599i
\(387\) −0.511256 + 6.16994i −0.0259886 + 0.313636i
\(388\) 10.6524 + 8.29113i 0.540796 + 0.420918i
\(389\) 4.14790 7.18437i 0.210307 0.364262i −0.741504 0.670949i \(-0.765887\pi\)
0.951810 + 0.306687i \(0.0992204\pi\)
\(390\) 0.0950803 + 0.0268861i 0.00481458 + 0.00136143i
\(391\) 11.0258 16.8762i 0.557597 0.853466i
\(392\) 0.0372350 + 0.0289812i 0.00188065 + 0.00146377i
\(393\) −0.597362 + 1.59548i −0.0301329 + 0.0804815i
\(394\) 2.01277 6.43517i 0.101402 0.324199i
\(395\) −7.93932 + 3.22467i −0.399470 + 0.162251i
\(396\) 3.42440 0.968327i 0.172082 0.0486603i
\(397\) 12.9243 + 34.5193i 0.648653 + 1.73248i 0.680255 + 0.732976i \(0.261869\pi\)
−0.0316014 + 0.999501i \(0.510061\pi\)
\(398\) 1.36627 16.4885i 0.0684850 0.826491i
\(399\) −6.65420 5.33156i −0.333127 0.266912i
\(400\) −0.276941 3.34218i −0.0138470 0.167109i
\(401\) 4.34542 2.05065i 0.217000 0.102405i −0.315194 0.949027i \(-0.602070\pi\)
0.532194 + 0.846623i \(0.321368\pi\)
\(402\) 3.37287 + 2.93744i 0.168223 + 0.146506i
\(403\) 0.0525256 0.140290i 0.00261648 0.00698832i
\(404\) 1.66709 + 4.45261i 0.0829410 + 0.221526i
\(405\) 9.48044 8.25653i 0.471087 0.410270i
\(406\) −3.67429 + 8.37653i −0.182352 + 0.415720i
\(407\) −15.0059 2.50404i −0.743813 0.124120i
\(408\) 2.25481 + 1.56345i 0.111630 + 0.0774022i
\(409\) 6.50228 33.2880i 0.321517 1.64599i −0.373964 0.927443i \(-0.622002\pi\)
0.695481 0.718545i \(-0.255191\pi\)
\(410\) 10.4921 5.67801i 0.518165 0.280417i
\(411\) 4.91170 + 1.68619i 0.242276 + 0.0831735i
\(412\) −4.41083 + 2.71133i −0.217306 + 0.133578i
\(413\) 10.5931 20.9325i 0.521253 1.03002i
\(414\) −10.9720 7.60784i −0.539246 0.373905i
\(415\) 8.02538 + 13.9004i 0.393950 + 0.682342i
\(416\) −0.0460124 0.00253858i −0.00225594 0.000124464i
\(417\) 3.24456 2.52534i 0.158887 0.123666i
\(418\) 2.46162 + 5.83425i 0.120402 + 0.285363i
\(419\) 4.97951 + 3.87571i 0.243265 + 0.189341i 0.728505 0.685040i \(-0.240215\pi\)
−0.485241 + 0.874381i \(0.661268\pi\)
\(420\) −4.26356 3.71314i −0.208041 0.181183i
\(421\) 16.0156 11.1049i 0.780551 0.541222i −0.111173 0.993801i \(-0.535461\pi\)
0.891724 + 0.452579i \(0.149496\pi\)
\(422\) 0.732314 + 0.996350i 0.0356485 + 0.0485015i
\(423\) 3.91015 + 6.77259i 0.190118 + 0.329294i
\(424\) −0.287895 + 1.47386i −0.0139814 + 0.0715771i
\(425\) −8.40074 + 9.12564i −0.407496 + 0.442658i
\(426\) −9.66045 + 3.31643i −0.468050 + 0.160682i
\(427\) 14.5636 17.6836i 0.704780 0.855767i
\(428\) 1.26932 + 0.140488i 0.0613547 + 0.00679074i
\(429\) −0.0496640 −0.00239780
\(430\) −7.30469 −0.352263
\(431\) −8.36162 0.925464i −0.402765 0.0445780i −0.0936560 0.995605i \(-0.529855\pi\)
−0.309109 + 0.951027i \(0.600031\pi\)
\(432\) 2.39433 3.25760i 0.115197 0.156732i
\(433\) −1.06340 + 38.5783i −0.0511039 + 1.85396i 0.348551 + 0.937290i \(0.386674\pi\)
−0.399655 + 0.916666i \(0.630870\pi\)
\(434\) −6.14391 + 5.97689i −0.294917 + 0.286900i
\(435\) −3.35850 + 6.63657i −0.161028 + 0.318199i
\(436\) −19.7804 3.30076i −0.947308 0.158078i
\(437\) 11.0253 21.0446i 0.527414 1.00670i
\(438\) 3.55593 0.593380i 0.169909 0.0283528i
\(439\) 7.27964 23.2743i 0.347438 1.11082i −0.602430 0.798172i \(-0.705801\pi\)
0.949868 0.312651i \(-0.101217\pi\)
\(440\) 1.47225 + 3.93220i 0.0701867 + 0.187460i
\(441\) −0.115409 + 0.00636730i −0.00549568 + 0.000303205i
\(442\) 0.108352 + 0.131564i 0.00515377 + 0.00625788i
\(443\) −17.6173 34.8127i −0.837022 1.65400i −0.753456 0.657499i \(-0.771615\pi\)
−0.0835664 0.996502i \(-0.526631\pi\)
\(444\) −6.83258 + 3.69761i −0.324260 + 0.175481i
\(445\) −13.1414 + 14.2754i −0.622962 + 0.676717i
\(446\) −4.88235 4.74962i −0.231186 0.224901i
\(447\) 0.150159 5.44747i 0.00710226 0.257657i
\(448\) 2.31901 + 1.25499i 0.109563 + 0.0592926i
\(449\) −2.65904 + 0.912850i −0.125488 + 0.0430801i −0.386728 0.922194i \(-0.626395\pi\)
0.261240 + 0.965274i \(0.415869\pi\)
\(450\) 5.88852 + 5.72844i 0.277587 + 0.270041i
\(451\) −4.29806 + 4.18121i −0.202388 + 0.196886i
\(452\) −14.6035 + 8.97676i −0.686892 + 0.422231i
\(453\) −10.0158 6.15670i −0.470584 0.289267i
\(454\) −4.73222 5.74602i −0.222094 0.269674i
\(455\) −0.192088 0.294012i −0.00900520 0.0137835i
\(456\) 2.82196 + 1.57902i 0.132150 + 0.0739446i
\(457\) 1.80516 2.76300i 0.0844417 0.129248i −0.792448 0.609940i \(-0.791194\pi\)
0.876889 + 0.480692i \(0.159615\pi\)
\(458\) 28.7653 3.18374i 1.34411 0.148766i
\(459\) −14.8621 + 1.64493i −0.693701 + 0.0767789i
\(460\) 7.87657 13.6426i 0.367247 0.636091i
\(461\) 30.8085 + 26.8311i 1.43489 + 1.24965i 0.919725 + 0.392563i \(0.128411\pi\)
0.515170 + 0.857088i \(0.327729\pi\)
\(462\) 2.56996 + 1.21280i 0.119566 + 0.0564243i
\(463\) −29.4794 + 4.91923i −1.37002 + 0.228616i −0.803438 0.595388i \(-0.796998\pi\)
−0.566584 + 0.824004i \(0.691735\pi\)
\(464\) 0.851572 3.36278i 0.0395332 0.156113i
\(465\) −5.25617 + 4.57760i −0.243749 + 0.212281i
\(466\) 10.1913 0.562269i 0.472103 0.0260466i
\(467\) −3.48962 5.34126i −0.161480 0.247164i 0.747255 0.664538i \(-0.231372\pi\)
−0.908735 + 0.417374i \(0.862951\pi\)
\(468\) 0.0890825 0.0693357i 0.00411784 0.00320504i
\(469\) −2.18356 15.7467i −0.100827 0.727115i
\(470\) −7.58251 + 5.25759i −0.349755 + 0.242515i
\(471\) −5.59516 2.64042i −0.257811 0.121664i
\(472\) −2.65594 + 8.49153i −0.122250 + 0.390854i
\(473\) 3.53301 0.999040i 0.162448 0.0459359i
\(474\) 0.539946 2.13220i 0.0248006 0.0979352i
\(475\) −8.82264 + 11.6555i −0.404811 + 0.534792i
\(476\) −2.39408 9.45402i −0.109733 0.433324i
\(477\) −1.83934 3.18583i −0.0842175 0.145869i
\(478\) 0.259760 1.87325i 0.0118811 0.0856806i
\(479\) 5.97047 + 11.7980i 0.272798 + 0.539063i 0.986969 0.160908i \(-0.0514421\pi\)
−0.714172 + 0.699970i \(0.753196\pi\)
\(480\) 1.82666 + 1.12284i 0.0833753 + 0.0512506i
\(481\) −0.470906 + 0.105532i −0.0214715 + 0.00481187i
\(482\) 24.8249 + 4.14254i 1.13074 + 0.188687i
\(483\) −2.61732 10.3356i −0.119092 0.470285i
\(484\) 5.26472 + 7.16291i 0.239305 + 0.325587i
\(485\) −5.35886 38.6453i −0.243333 1.75479i
\(486\) 1.26804 + 15.3030i 0.0575197 + 0.694159i
\(487\) 21.1635 32.3931i 0.959008 1.46787i 0.0767809 0.997048i \(-0.475536\pi\)
0.882227 0.470824i \(-0.156043\pi\)
\(488\) −4.34399 + 7.52401i −0.196643 + 0.340596i
\(489\) 14.1439 6.67466i 0.639609 0.301839i
\(490\) −0.0187316 0.135083i −0.000846208 0.00610241i
\(491\) 13.1906 + 0.727743i 0.595281 + 0.0328426i 0.350224 0.936666i \(-0.386105\pi\)
0.245057 + 0.969509i \(0.421193\pi\)
\(492\) −0.420593 + 3.03309i −0.0189618 + 0.136742i
\(493\) −11.2837 + 6.10643i −0.508192 + 0.275020i
\(494\) 0.141989 + 0.142082i 0.00638840 + 0.00639256i
\(495\) −9.04583 4.89536i −0.406580 0.220030i
\(496\) 1.92518 2.61930i 0.0864432 0.117610i
\(497\) 33.6350 + 13.6613i 1.50873 + 0.612795i
\(498\) −4.09483 0.453215i −0.183494 0.0203091i
\(499\) 25.9004 + 10.5198i 1.15946 + 0.470932i 0.873268 0.487241i \(-0.161997\pi\)
0.286192 + 0.958172i \(0.407611\pi\)
\(500\) 3.02505 3.67312i 0.135285 0.164267i
\(501\) 7.70356 + 4.16896i 0.344170 + 0.186255i
\(502\) −18.1357 19.7007i −0.809438 0.879284i
\(503\) −32.3847 + 19.9068i −1.44396 + 0.887600i −0.999964 0.00842858i \(-0.997317\pi\)
−0.443997 + 0.896028i \(0.646440\pi\)
\(504\) −6.30293 + 1.41252i −0.280755 + 0.0629186i
\(505\) 5.51996 12.5843i 0.245635 0.559992i
\(506\) −1.94375 + 7.67570i −0.0864102 + 0.341226i
\(507\) 8.93381 3.62860i 0.396765 0.161152i
\(508\) 6.67160 1.88655i 0.296004 0.0837021i
\(509\) −12.4631 + 10.8541i −0.552416 + 0.481100i −0.887321 0.461152i \(-0.847436\pi\)
0.334905 + 0.942252i \(0.391296\pi\)
\(510\) −1.52033 7.78325i −0.0673215 0.344648i
\(511\) −10.9163 6.71021i −0.482907 0.296842i
\(512\) −0.945817 0.324699i −0.0417996 0.0143498i
\(513\) −17.2486 + 3.61079i −0.761543 + 0.159420i
\(514\) −1.62189 + 0.556796i −0.0715386 + 0.0245592i
\(515\) 14.6022 + 3.27243i 0.643450 + 0.144201i
\(516\) 1.11040 1.51076i 0.0488827 0.0665073i
\(517\) 2.94832 3.57994i 0.129667 0.157446i
\(518\) 26.9451 + 6.03853i 1.18390 + 0.265318i
\(519\) −0.203800 + 7.39347i −0.00894581 + 0.324537i
\(520\) 0.0902073 + 0.0979913i 0.00395585 + 0.00429720i
\(521\) −30.3645 10.4241i −1.33029 0.456690i −0.434304 0.900766i \(-0.643006\pi\)
−0.895989 + 0.444076i \(0.853532\pi\)
\(522\) 3.83697 + 7.58206i 0.167940 + 0.331858i
\(523\) 6.83384 + 21.8490i 0.298823 + 0.955390i 0.975666 + 0.219262i \(0.0703650\pi\)
−0.676843 + 0.736127i \(0.736652\pi\)
\(524\) −1.81222 + 1.41051i −0.0791673 + 0.0616184i
\(525\) 0.541738 + 6.53780i 0.0236434 + 0.285333i
\(526\) −11.3723 3.21577i −0.495855 0.140214i
\(527\) −11.9500 + 1.32262i −0.520548 + 0.0576143i
\(528\) −1.03706 0.293252i −0.0451321 0.0127621i
\(529\) 6.06556 2.86241i 0.263720 0.124452i
\(530\) 3.56681 2.47317i 0.154932 0.107428i
\(531\) −8.75494 19.9592i −0.379932 0.866157i
\(532\) −3.87789 10.8197i −0.168128 0.469093i
\(533\) −0.0764068 + 0.174190i −0.00330954 + 0.00754500i
\(534\) −0.954778 4.88793i −0.0413173 0.211522i
\(535\) −2.34650 2.84919i −0.101448 0.123181i
\(536\) 1.79975 + 5.75411i 0.0777371 + 0.248539i
\(537\) −13.6480 0.752984i −0.588957 0.0324936i
\(538\) −2.72151 3.70275i −0.117333 0.159637i
\(539\) 0.0275346 + 0.0627726i 0.00118600 + 0.00270381i
\(540\) −11.5256 + 1.92328i −0.495983 + 0.0827649i
\(541\) 26.2045 10.6434i 1.12662 0.457594i 0.264545 0.964373i \(-0.414778\pi\)
0.862076 + 0.506779i \(0.169164\pi\)
\(542\) −15.0307 + 6.10492i −0.645622 + 0.262229i
\(543\) 3.05996 0.510617i 0.131315 0.0219127i
\(544\) 1.48570 + 3.38704i 0.0636987 + 0.145218i
\(545\) 34.3266 + 46.7030i 1.47039 + 2.00054i
\(546\) 0.0900072 + 0.00496583i 0.00385195 + 0.000212518i
\(547\) −8.48930 27.1418i −0.362976 1.16050i −0.939247 0.343241i \(-0.888475\pi\)
0.576271 0.817259i \(-0.304507\pi\)
\(548\) 4.45011 + 5.40347i 0.190099 + 0.230825i
\(549\) −4.08007 20.8877i −0.174133 0.891465i
\(550\) 1.95703 4.46158i 0.0834480 0.190242i
\(551\) −12.5462 + 8.43980i −0.534484 + 0.359548i
\(552\) 1.62423 + 3.70288i 0.0691319 + 0.157605i
\(553\) −6.42448 + 4.45463i −0.273196 + 0.189430i
\(554\) 9.84533 4.64612i 0.418288 0.197395i
\(555\) 21.6070 + 6.10989i 0.917168 + 0.259350i
\(556\) 5.50853 0.609684i 0.233614 0.0258563i
\(557\) −20.9138 5.91386i −0.886147 0.250578i −0.201531 0.979482i \(-0.564592\pi\)
−0.684616 + 0.728904i \(0.740030\pi\)
\(558\) 0.657585 + 7.93587i 0.0278378 + 0.335952i
\(559\) 0.0919080 0.0715348i 0.00388729 0.00302560i
\(560\) −2.27501 7.27362i −0.0961369 0.307367i
\(561\) 1.79982 + 3.55654i 0.0759885 + 0.150157i
\(562\) −19.6702 6.75279i −0.829738 0.284849i
\(563\) −5.85460 6.35979i −0.246742 0.268033i 0.600044 0.799967i \(-0.295150\pi\)
−0.846786 + 0.531934i \(0.821466\pi\)
\(564\) 0.0652578 2.36743i 0.00274785 0.0996869i
\(565\) 48.3455 + 10.8345i 2.03391 + 0.455810i
\(566\) −4.95173 + 6.01255i −0.208137 + 0.252726i
\(567\) 6.79255 9.24160i 0.285260 0.388111i
\(568\) −13.4347 3.01078i −0.563707 0.126330i
\(569\) −6.22448 + 2.13687i −0.260944 + 0.0895821i −0.452067 0.891984i \(-0.649313\pi\)
0.191123 + 0.981566i \(0.438787\pi\)
\(570\) −2.66390 8.95855i −0.111579 0.375232i
\(571\) −2.60993 0.895989i −0.109222 0.0374960i 0.269547 0.962987i \(-0.413126\pi\)
−0.378769 + 0.925491i \(0.623652\pi\)
\(572\) −0.0570320 0.0350574i −0.00238463 0.00146582i
\(573\) 2.02972 + 10.3910i 0.0847928 + 0.434092i
\(574\) 8.20754 7.14795i 0.342576 0.298350i
\(575\) −17.5890 + 4.97369i −0.733512 + 0.207417i
\(576\) 2.26958 0.921824i 0.0945659 0.0384093i
\(577\) 0.429006 1.69411i 0.0178598 0.0705266i −0.959829 0.280586i \(-0.909471\pi\)
0.977689 + 0.210060i \(0.0673658\pi\)
\(578\) −1.33388 + 3.04095i −0.0554823 + 0.126487i
\(579\) −6.34083 + 1.42101i −0.263516 + 0.0590553i
\(580\) −8.54145 + 5.25041i −0.354665 + 0.218011i
\(581\) 9.91762 + 10.7734i 0.411452 + 0.446956i
\(582\) 8.80724 + 4.76624i 0.365072 + 0.197567i
\(583\) −1.38689 + 1.68401i −0.0574391 + 0.0697444i
\(584\) 4.50234 + 1.82869i 0.186308 + 0.0756718i
\(585\) −0.324289 0.0358923i −0.0134077 0.00148396i
\(586\) 2.96143 + 1.20283i 0.122336 + 0.0496885i
\(587\) −22.6212 + 30.7773i −0.933678 + 1.27032i 0.0289754 + 0.999580i \(0.490776\pi\)
−0.962654 + 0.270735i \(0.912733\pi\)
\(588\) 0.0307852 + 0.0166601i 0.00126956 + 0.000687052i
\(589\) −13.8689 + 2.90329i −0.571456 + 0.119628i
\(590\) 22.6159 12.2391i 0.931081 0.503876i
\(591\) 0.687051 4.95465i 0.0282615 0.203807i
\(592\) −10.4563 0.576893i −0.429753 0.0237101i
\(593\) 3.20441 + 23.1085i 0.131589 + 0.948953i 0.935281 + 0.353907i \(0.115147\pi\)
−0.803691 + 0.595046i \(0.797134\pi\)
\(594\) 5.31147 2.50654i 0.217932 0.102845i
\(595\) −14.0936 + 24.4108i −0.577780 + 1.00074i
\(596\) 4.01776 6.14965i 0.164574 0.251899i
\(597\) −1.01358 12.2321i −0.0414832 0.500627i
\(598\) 0.0344988 + 0.248788i 0.00141076 + 0.0101737i
\(599\) −14.6717 19.9615i −0.599468 0.815606i 0.395215 0.918589i \(-0.370670\pi\)
−0.994683 + 0.102983i \(0.967161\pi\)
\(600\) −0.610749 2.41179i −0.0249337 0.0984611i
\(601\) −25.0694 4.18334i −1.02260 0.170642i −0.370547 0.928814i \(-0.620830\pi\)
−0.652055 + 0.758171i \(0.726093\pi\)
\(602\) −6.50284 + 1.45732i −0.265036 + 0.0593960i
\(603\) −12.5819 7.73407i −0.512375 0.314956i
\(604\) −7.15576 14.1402i −0.291164 0.575355i
\(605\) 3.52906 25.4497i 0.143477 1.03468i
\(606\) 1.76357 + 3.05460i 0.0716403 + 0.124085i
\(607\) −10.1663 40.1460i −0.412639 1.62948i −0.731619 0.681714i \(-0.761235\pi\)
0.318979 0.947762i \(-0.396660\pi\)
\(608\) 2.12599 + 3.80528i 0.0862204 + 0.154324i
\(609\) −1.66580 + 6.57811i −0.0675017 + 0.266558i
\(610\) 24.1631 6.83267i 0.978335 0.276647i
\(611\) 0.0439159 0.140407i 0.00177665 0.00568026i
\(612\) −8.19362 3.86666i −0.331208 0.156301i
\(613\) −28.2278 + 19.5727i −1.14011 + 0.790534i −0.980475 0.196643i \(-0.936996\pi\)
−0.159633 + 0.987176i \(0.551031\pi\)
\(614\) 0.00194176 + 0.0140030i 7.83631e−5 + 0.000565114i
\(615\) 6.98415 5.43598i 0.281628 0.219200i
\(616\) 2.09513 + 3.20684i 0.0844153 + 0.129207i
\(617\) −31.8940 + 1.75964i −1.28400 + 0.0708405i −0.684193 0.729301i \(-0.739845\pi\)
−0.599811 + 0.800142i \(0.704758\pi\)
\(618\) −2.89652 + 2.52258i −0.116515 + 0.101473i
\(619\) −1.25040 + 4.93770i −0.0502577 + 0.198463i −0.989437 0.144964i \(-0.953693\pi\)
0.939179 + 0.343427i \(0.111588\pi\)
\(620\) −9.26725 + 1.54643i −0.372182 + 0.0621062i
\(621\) −19.9278 9.40416i −0.799675 0.377376i
\(622\) −19.3272 16.8321i −0.774949 0.674904i
\(623\) −8.85085 + 15.3301i −0.354602 + 0.614188i
\(624\) −0.0339792 + 0.00376081i −0.00136026 + 0.000150553i
\(625\) −30.3361 + 3.35760i −1.21344 + 0.134304i
\(626\) 4.29759 6.57795i 0.171766 0.262908i
\(627\) 2.51367 + 3.96859i 0.100386 + 0.158490i
\(628\) −4.56139 6.98172i −0.182019 0.278601i
\(629\) 24.6230 + 29.8981i 0.981784 + 1.19211i
\(630\) 15.9045 + 9.77645i 0.633650 + 0.389503i
\(631\) −4.71728 + 2.89970i −0.187792 + 0.115435i −0.614378 0.789012i \(-0.710593\pi\)
0.426587 + 0.904447i \(0.359716\pi\)
\(632\) 2.12515 2.06738i 0.0845341 0.0822360i
\(633\) 0.657525 + 0.639651i 0.0261343 + 0.0254238i
\(634\) −6.88123 + 2.36233i −0.273289 + 0.0938201i
\(635\) −17.6236 9.53741i −0.699371 0.378481i
\(636\) −0.0306973 + 1.11364i −0.00121723 + 0.0441587i
\(637\) 0.00155855 + 0.00151618i 6.17519e−5 + 6.00732e-5i
\(638\) 3.41311 3.70762i 0.135126 0.146786i
\(639\) 29.6616 16.0520i 1.17339 0.635009i
\(640\) 1.30505 + 2.57885i 0.0515867 + 0.101938i
\(641\) 16.9950 + 20.6359i 0.671261 + 0.815068i 0.991200 0.132371i \(-0.0422589\pi\)
−0.319939 + 0.947438i \(0.603662\pi\)
\(642\) 0.945966 0.0521904i 0.0373343 0.00205979i
\(643\) 4.77998 + 12.7668i 0.188504 + 0.503472i 0.996295 0.0859967i \(-0.0274074\pi\)
−0.807791 + 0.589468i \(0.799337\pi\)
\(644\) 4.29018 13.7165i 0.169057 0.540505i
\(645\) −5.34514 + 0.891947i −0.210465 + 0.0351204i
\(646\) 5.02908 15.3172i 0.197867 0.602647i
\(647\) −15.0379 2.50938i −0.591200 0.0986538i −0.138570 0.990353i \(-0.544251\pi\)
−0.452629 + 0.891699i \(0.649514\pi\)
\(648\) −1.96403 + 3.88103i −0.0771544 + 0.152461i
\(649\) −9.26457 + 9.01272i −0.363666 + 0.353780i
\(650\) 0.00425834 0.154485i 0.000167026 0.00605939i
\(651\) −3.76594 + 5.12375i −0.147599 + 0.200816i
\(652\) 20.9538 + 2.31917i 0.820615 + 0.0908256i
\(653\) −23.1979 −0.907804 −0.453902 0.891052i \(-0.649968\pi\)
−0.453902 + 0.891052i \(0.649968\pi\)
\(654\) −14.8772 −0.581743
\(655\) 6.59707 + 0.730163i 0.257769 + 0.0285298i
\(656\) −2.62403 + 3.18618i −0.102451 + 0.124399i
\(657\) −11.2592 + 3.86527i −0.439261 + 0.150799i
\(658\) −5.70125 + 6.19321i −0.222258 + 0.241437i
\(659\) −7.39126 + 37.8391i −0.287923 + 1.47400i 0.504171 + 0.863604i \(0.331798\pi\)
−0.792094 + 0.610400i \(0.791009\pi\)
\(660\) 1.55745 + 2.69758i 0.0606237 + 0.105003i
\(661\) 11.9916 + 16.3152i 0.466420 + 0.634587i 0.973873 0.227092i \(-0.0729218\pi\)
−0.507453 + 0.861679i \(0.669413\pi\)
\(662\) 2.33423 1.61852i 0.0907226 0.0629057i
\(663\) 0.0953504 + 0.0830407i 0.00370310 + 0.00322503i
\(664\) −4.38240 3.41096i −0.170070 0.132371i
\(665\) −13.7719 + 30.2304i −0.534052 + 1.17229i
\(666\) 20.2440 15.7566i 0.784441 0.610555i
\(667\) −18.8784 1.04155i −0.730975 0.0403290i
\(668\) 5.90360 + 10.2253i 0.228417 + 0.395630i
\(669\) −4.15257 2.87933i −0.160548 0.111321i
\(670\) 7.86815 15.5479i 0.303973 0.600667i
\(671\) −10.7523 + 6.60943i −0.415089 + 0.255154i
\(672\) 1.85016 + 0.635161i 0.0713715 + 0.0245019i
\(673\) 10.3144 5.58190i 0.397592 0.215166i −0.264833 0.964294i \(-0.585317\pi\)
0.662425 + 0.749128i \(0.269527\pi\)
\(674\) −2.15606 + 11.0378i −0.0830484 + 0.425162i
\(675\) 11.1419 + 7.72563i 0.428852 + 0.297360i
\(676\) 12.8206 + 2.13938i 0.493100 + 0.0822839i
\(677\) −0.992693 + 2.26311i −0.0381523 + 0.0869785i −0.933816 0.357753i \(-0.883543\pi\)
0.895664 + 0.444731i \(0.146701\pi\)
\(678\) −9.58990 + 8.35185i −0.368298 + 0.320751i
\(679\) −12.4806 33.3341i −0.478960 1.27924i
\(680\) 3.74825 10.0111i 0.143739 0.383910i
\(681\) −4.16439 3.62677i −0.159580 0.138978i
\(682\) 4.27073 2.01541i 0.163535 0.0771739i
\(683\) 3.13559 + 37.8410i 0.119980 + 1.44795i 0.744858 + 0.667223i \(0.232517\pi\)
−0.624878 + 0.780722i \(0.714851\pi\)
\(684\) −10.0493 3.60915i −0.384245 0.137999i
\(685\) 1.67075 20.1630i 0.0638361 0.770387i
\(686\) −6.51560 17.4024i −0.248767 0.664426i
\(687\) 20.6600 5.84209i 0.788228 0.222890i
\(688\) 2.34157 0.951062i 0.0892714 0.0362589i
\(689\) −0.0206580 + 0.0660474i −0.000787009 + 0.00251621i
\(690\) 4.09777 10.9447i 0.155999 0.416656i
\(691\) 28.3338 + 22.0531i 1.07787 + 0.838938i 0.987602 0.156980i \(-0.0501758\pi\)
0.0902655 + 0.995918i \(0.471228\pi\)
\(692\) −5.45303 + 8.34648i −0.207293 + 0.317286i
\(693\) −9.02951 2.55330i −0.343003 0.0969920i
\(694\) 2.84352 4.92513i 0.107939 0.186955i
\(695\) −12.6407 9.83866i −0.479489 0.373202i
\(696\) 0.212515 2.56467i 0.00805535 0.0972136i
\(697\) 15.2431 0.840984i 0.577373 0.0318546i
\(698\) 2.01843 + 10.3332i 0.0763987 + 0.391119i
\(699\) 7.38874 1.65585i 0.279468 0.0626302i
\(700\) −3.99287 + 7.89013i −0.150916 + 0.298219i
\(701\) 1.31077 + 47.5523i 0.0495071 + 1.79603i 0.463859 + 0.885909i \(0.346465\pi\)
−0.414352 + 0.910117i \(0.635992\pi\)
\(702\) 0.126181 0.137069i 0.00476240 0.00517334i
\(703\) 32.2671 + 32.2881i 1.21698 + 1.21777i
\(704\) −0.983907 1.06881i −0.0370824 0.0402822i
\(705\) −4.90645 + 4.77307i −0.184788 + 0.179764i
\(706\) 0.0723128 + 2.62337i 0.00272153 + 0.0987319i
\(707\) 2.40341 12.3041i 0.0903896 0.462744i
\(708\) −0.906598 + 6.53791i −0.0340720 + 0.245710i
\(709\) 0.975249 + 3.11804i 0.0366262 + 0.117101i 0.970920 0.239402i \(-0.0769515\pi\)
−0.934294 + 0.356503i \(0.883969\pi\)
\(710\) 21.7647 + 33.3133i 0.816813 + 1.25023i
\(711\) −0.599760 + 7.23802i −0.0224928 + 0.271447i
\(712\) 2.35393 6.28706i 0.0882172 0.235618i
\(713\) −16.0231 7.56149i −0.600070 0.283180i
\(714\) −2.90624 6.62557i −0.108763 0.247956i
\(715\) 0.0474989 + 0.187569i 0.00177636 + 0.00701468i
\(716\) −15.1413 10.4987i −0.565857 0.392356i
\(717\) −0.0386584 1.40246i −0.00144372 0.0523756i
\(718\) 12.6319 + 12.2885i 0.471420 + 0.458604i
\(719\) 51.7617 + 11.6001i 1.93038 + 0.432609i 0.997344 + 0.0728401i \(0.0232063\pi\)
0.933041 + 0.359769i \(0.117145\pi\)
\(720\) −6.55969 2.66432i −0.244465 0.0992932i
\(721\) 13.6522 0.508434
\(722\) 4.16700 18.5374i 0.155080 0.689892i
\(723\) 18.6712 0.694390
\(724\) 3.87436 + 1.57363i 0.143990 + 0.0584835i
\(725\) 11.3519 + 2.54403i 0.421601 + 0.0944829i
\(726\) 4.72705 + 4.59855i 0.175437 + 0.170668i
\(727\) 0.579541 + 21.0247i 0.0214940 + 0.779763i 0.931200 + 0.364509i \(0.118763\pi\)
−0.909706 + 0.415253i \(0.863693\pi\)
\(728\) 0.0998550 + 0.0692379i 0.00370087 + 0.00256613i
\(729\) −0.406883 1.60674i −0.0150697 0.0595090i
\(730\) −5.64196 12.8624i −0.208818 0.476058i
\(731\) −8.45350 3.98930i −0.312664 0.147550i
\(732\) −2.25995 + 6.03606i −0.0835302 + 0.223099i
\(733\) −0.0243784 + 0.294204i −0.000900437 + 0.0108667i −0.997020 0.0771448i \(-0.975420\pi\)
0.996119 + 0.0880115i \(0.0280512\pi\)
\(734\) 1.71089 + 2.61871i 0.0631500 + 0.0966583i
\(735\) −0.0302011 0.0965583i −0.00111398 0.00356161i
\(736\) −0.748634 + 5.39876i −0.0275950 + 0.199001i
\(737\) −1.67910 + 8.59605i −0.0618504 + 0.316640i
\(738\) −0.278608 10.1074i −0.0102557 0.372057i
\(739\) −1.89001 + 1.83863i −0.0695253 + 0.0676353i −0.731239 0.682121i \(-0.761058\pi\)
0.661714 + 0.749757i \(0.269829\pi\)
\(740\) 20.4997 + 22.2686i 0.753583 + 0.818609i
\(741\) 0.121248 + 0.0866293i 0.00445417 + 0.00318241i
\(742\) 2.68187 2.91329i 0.0984546 0.106950i
\(743\) −1.14015 41.3624i −0.0418279 1.51744i −0.671749 0.740779i \(-0.734457\pi\)
0.629921 0.776659i \(-0.283087\pi\)
\(744\) 1.08890 2.15173i 0.0399211 0.0788862i
\(745\) −20.7174 + 4.64288i −0.759027 + 0.170102i
\(746\) 5.74426 + 29.4074i 0.210312 + 1.07668i
\(747\) 13.5832 0.749404i 0.496982 0.0274192i
\(748\) −0.443700 + 5.35466i −0.0162233 + 0.195786i
\(749\) −2.65735 2.06830i −0.0970974 0.0755739i
\(750\) 1.76505 3.05715i 0.0644504 0.111631i
\(751\) −50.0944 14.1654i −1.82797 0.516901i −0.828877 0.559431i \(-0.811020\pi\)
−0.999095 + 0.0425299i \(0.986458\pi\)
\(752\) 1.74609 2.67259i 0.0636734 0.0974594i
\(753\) −15.6762 12.2013i −0.571274 0.444641i
\(754\) 0.0560517 0.149708i 0.00204128 0.00545203i
\(755\) −13.6732 + 43.7156i −0.497618 + 1.59097i
\(756\) −9.87672 + 4.01158i −0.359213 + 0.145900i
\(757\) −41.4118 + 11.7101i −1.50514 + 0.425612i −0.922138 0.386861i \(-0.873559\pi\)
−0.582999 + 0.812473i \(0.698121\pi\)
\(758\) 4.22369 + 11.2810i 0.153411 + 0.409743i
\(759\) −0.485074 + 5.85397i −0.0176071 + 0.212486i
\(760\) 3.26466 12.1680i 0.118422 0.441381i
\(761\) 3.64542 + 43.9937i 0.132146 + 1.59477i 0.663867 + 0.747850i \(0.268914\pi\)
−0.531721 + 0.846920i \(0.678454\pi\)
\(762\) 4.65153 2.19511i 0.168507 0.0795204i
\(763\) 39.8760 + 34.7281i 1.44361 + 1.25724i
\(764\) −5.00411 + 13.3654i −0.181042 + 0.483543i
\(765\) 9.18189 + 24.5237i 0.331972 + 0.886658i
\(766\) −20.2664 + 17.6500i −0.732253 + 0.637720i
\(767\) −0.164697 + 0.375471i −0.00594685 + 0.0135575i
\(768\) −0.731742 0.122106i −0.0264045 0.00440612i
\(769\) −1.16239 0.805983i −0.0419168 0.0290645i 0.548664 0.836043i \(-0.315137\pi\)
−0.590581 + 0.806978i \(0.701101\pi\)
\(770\) 2.12251 10.8661i 0.0764898 0.391585i
\(771\) −1.11882 + 0.605474i −0.0402932 + 0.0218056i
\(772\) −8.28461 2.84411i −0.298170 0.102362i
\(773\) −3.32304 + 2.04267i −0.119521 + 0.0734696i −0.582144 0.813086i \(-0.697786\pi\)
0.462622 + 0.886556i \(0.346909\pi\)
\(774\) −2.79548 + 5.52402i −0.100482 + 0.198557i
\(775\) 8.95874 + 6.21185i 0.321808 + 0.223136i
\(776\) 6.74940 + 11.6903i 0.242289 + 0.419657i
\(777\) 20.4542 + 1.12849i 0.733790 + 0.0404843i
\(778\) 6.54655 5.09538i 0.234705 0.182678i
\(779\) 17.7865 2.71078i 0.637268 0.0971238i
\(780\) 0.0779738 + 0.0606895i 0.00279191 + 0.00217303i
\(781\) −15.0829 13.1357i −0.539710 0.470034i
\(782\) 16.5660 11.4866i 0.592398 0.410760i
\(783\) 8.30577 + 11.3004i 0.296824 + 0.403844i
\(784\) 0.0235921 + 0.0408628i 0.000842577 + 0.00145939i
\(785\) −4.62099 + 23.6569i −0.164930 + 0.844350i
\(786\) −1.15385 + 1.25341i −0.0411564 + 0.0447077i
\(787\) −7.64613 + 2.62492i −0.272555 + 0.0935683i −0.457589 0.889164i \(-0.651287\pi\)
0.185034 + 0.982732i \(0.440761\pi\)
\(788\) 4.28643 5.20472i 0.152698 0.185411i
\(789\) −8.71423 0.964491i −0.310235 0.0343368i
\(790\) −8.56921 −0.304879
\(791\) 45.2001 1.60713
\(792\) 3.53707 + 0.391483i 0.125684 + 0.0139107i
\(793\) −0.237109 + 0.322598i −0.00841999 + 0.0114558i
\(794\) −1.01564 + 36.8455i −0.0360437 + 1.30760i
\(795\) 2.30800 2.24525i 0.0818562 0.0796309i
\(796\) 7.47060 14.7623i 0.264788 0.523236i
\(797\) −4.99485 0.833493i −0.176927 0.0295238i 0.0754680 0.997148i \(-0.475955\pi\)
−0.252395 + 0.967624i \(0.581218\pi\)
\(798\) −4.15876 7.44370i −0.147219 0.263504i
\(799\) −11.6463 + 1.94343i −0.412018 + 0.0687537i
\(800\) 1.00111 3.20072i 0.0353945 0.113163i
\(801\) 5.76628 + 15.4011i 0.203742 + 0.544170i
\(802\) 4.79768 0.264695i 0.169412 0.00934672i
\(803\) 4.48796 + 5.44943i 0.158377 + 0.192306i
\(804\) 2.01956 + 3.99076i 0.0712244 + 0.140743i
\(805\) −36.5318 + 19.7700i −1.28758 + 0.696801i
\(806\) 0.101457 0.110212i 0.00357367 0.00388204i
\(807\) −2.44357 2.37714i −0.0860177 0.0836793i
\(808\) −0.131006 + 4.75266i −0.00460878 + 0.167198i
\(809\) 9.51036 + 5.14675i 0.334367 + 0.180950i 0.634452 0.772962i \(-0.281226\pi\)
−0.300086 + 0.953912i \(0.597015\pi\)
\(810\) 11.8906 4.08204i 0.417792 0.143428i
\(811\) −15.5171 15.0953i −0.544879 0.530066i 0.372526 0.928022i \(-0.378492\pi\)
−0.917405 + 0.397955i \(0.869720\pi\)
\(812\) −6.55637 + 6.37813i −0.230083 + 0.223829i
\(813\) −10.2531 + 6.30256i −0.359592 + 0.221040i
\(814\) −12.9605 7.96682i −0.454267 0.279237i
\(815\) −38.7359 47.0344i −1.35686 1.64754i
\(816\) 1.50072 + 2.29703i 0.0525359 + 0.0804121i
\(817\) −10.3680 3.72362i −0.362732 0.130273i
\(818\) 18.5509 28.3943i 0.648618 0.992784i
\(819\) −0.295852 + 0.0327449i −0.0103379 + 0.00114420i
\(820\) 11.8575 1.31239i 0.414082 0.0458306i
\(821\) 1.52560 2.64241i 0.0532436 0.0922207i −0.838175 0.545401i \(-0.816377\pi\)
0.891419 + 0.453180i \(0.149711\pi\)
\(822\) 3.91613 + 3.41056i 0.136591 + 0.118957i
\(823\) −22.4764 10.6069i −0.783478 0.369732i −0.00707979 0.999975i \(-0.502254\pi\)
−0.776398 + 0.630243i \(0.782955\pi\)
\(824\) −5.10691 + 0.852192i −0.177907 + 0.0296875i
\(825\) 0.887254 3.50369i 0.0308902 0.121983i
\(826\) 17.6916 15.4076i 0.615568 0.536099i
\(827\) 2.96354 0.163503i 0.103053 0.00568557i −0.00348809 0.999994i \(-0.501110\pi\)
0.106541 + 0.994308i \(0.466023\pi\)
\(828\) −7.30262 11.1775i −0.253784 0.388445i
\(829\) −6.68627 + 5.20414i −0.232224 + 0.180747i −0.723640 0.690178i \(-0.757532\pi\)
0.491416 + 0.870925i \(0.336480\pi\)
\(830\) 2.20463 + 15.8986i 0.0765238 + 0.551849i
\(831\) 6.63692 4.60194i 0.230232 0.159639i
\(832\) −0.0416749 0.0196669i −0.00144482 0.000681826i
\(833\) 0.0520950 0.166557i 0.00180499 0.00577086i
\(834\) 3.95637 1.11876i 0.136998 0.0387393i
\(835\) 8.37742 33.0817i 0.289913 1.14484i
\(836\) 0.0851903 + 6.33173i 0.00294637 + 0.218987i
\(837\) 3.22621 + 12.7400i 0.111514 + 0.440360i
\(838\) 3.15502 + 5.46465i 0.108988 + 0.188773i
\(839\) 4.29453 30.9699i 0.148264 1.06920i −0.759737 0.650231i \(-0.774672\pi\)
0.908001 0.418969i \(-0.137608\pi\)
\(840\) −2.55288 5.04462i −0.0880826 0.174056i
\(841\) −14.4541 8.88491i −0.498418 0.306376i
\(842\) 19.0172 4.26186i 0.655377 0.146873i
\(843\) −15.2181 2.53945i −0.524138 0.0874632i
\(844\) 0.303549 + 1.19869i 0.0104486 + 0.0412606i
\(845\) −22.2487 30.2704i −0.765378 1.04133i
\(846\) 1.07415 + 7.74619i 0.0369299 + 0.266319i
\(847\) −1.93568 23.3601i −0.0665106 0.802664i
\(848\) −0.821362 + 1.25719i −0.0282057 + 0.0431720i
\(849\) −2.88922 + 5.00427i −0.0991576 + 0.171746i
\(850\) −11.2173 + 5.29357i −0.384750 + 0.181568i
\(851\) 7.83988 + 56.5371i 0.268748 + 1.93807i
\(852\) −10.1984 0.562659i −0.349390 0.0192764i
\(853\) −5.45219 + 39.3184i −0.186680 + 1.34624i 0.633328 + 0.773883i \(0.281688\pi\)
−0.820008 + 0.572352i \(0.806031\pi\)
\(854\) 20.1475 10.9033i 0.689435 0.373103i
\(855\) 13.5453 + 27.7301i 0.463238 + 0.948350i
\(856\) 1.12315 + 0.607817i 0.0383884 + 0.0207747i
\(857\) 11.8760 16.1579i 0.405676 0.551942i −0.554194 0.832388i \(-0.686973\pi\)
0.959870 + 0.280445i \(0.0904822\pi\)
\(858\) −0.0460134 0.0186890i −0.00157087 0.000638033i
\(859\) −34.4132 3.80885i −1.17416 0.129956i −0.498314 0.866997i \(-0.666047\pi\)
−0.675848 + 0.737041i \(0.736223\pi\)
\(860\) −6.76775 2.74882i −0.230778 0.0937340i
\(861\) 5.13299 6.23265i 0.174932 0.212408i
\(862\) −7.39873 4.00399i −0.252002 0.136377i
\(863\) −18.0356 19.5919i −0.613941 0.666917i 0.348846 0.937180i \(-0.386574\pi\)
−0.962787 + 0.270263i \(0.912889\pi\)
\(864\) 3.44420 2.11714i 0.117174 0.0720266i
\(865\) 28.1183 6.30145i 0.956049 0.214256i
\(866\) −15.5026 + 35.3424i −0.526800 + 1.20098i
\(867\) −0.604740 + 2.38807i −0.0205381 + 0.0811030i
\(868\) −7.94146 + 3.22554i −0.269551 + 0.109482i
\(869\) 4.14461 1.17198i 0.140596 0.0397569i
\(870\) −5.60903 + 4.88491i −0.190164 + 0.165614i
\(871\) 0.0532631 + 0.272677i 0.00180475 + 0.00923932i
\(872\) −17.0843 10.5017i −0.578547 0.355632i
\(873\) −31.2756 10.7369i −1.05852 0.363390i
\(874\) 18.1342 15.3488i 0.613399 0.519180i
\(875\) −11.8673 + 4.07405i −0.401188 + 0.137728i
\(876\) 3.51784 + 0.788367i 0.118857 + 0.0266365i
\(877\) 7.08963 9.64580i 0.239400 0.325715i −0.669435 0.742870i \(-0.733464\pi\)
0.908835 + 0.417155i \(0.136973\pi\)
\(878\) 15.5029 18.8241i 0.523197 0.635283i
\(879\) 2.31388 + 0.518552i 0.0780452 + 0.0174903i
\(880\) −0.115694 + 4.19718i −0.00390006 + 0.141487i
\(881\) −28.7993 31.2844i −0.970273 1.05400i −0.998519 0.0543966i \(-0.982676\pi\)
0.0282462 0.999601i \(-0.491008\pi\)
\(882\) −0.109322 0.0375303i −0.00368106 0.00126371i
\(883\) 7.17901 + 14.1861i 0.241593 + 0.477401i 0.980529 0.196375i \(-0.0629170\pi\)
−0.738936 + 0.673776i \(0.764671\pi\)
\(884\) 0.0508784 + 0.162667i 0.00171123 + 0.00547110i
\(885\) 15.0545 11.7174i 0.506052 0.393876i
\(886\) −3.22196 38.8833i −0.108244 1.30631i
\(887\) −20.4365 5.77889i −0.686191 0.194036i −0.0888754 0.996043i \(-0.528327\pi\)
−0.597315 + 0.802007i \(0.703766\pi\)
\(888\) −7.72179 + 0.854647i −0.259126 + 0.0286801i
\(889\) −17.5918 4.97449i −0.590010 0.166839i
\(890\) −17.5474 + 8.28081i −0.588190 + 0.277573i
\(891\) −5.19275 + 3.60057i −0.173964 + 0.120624i
\(892\) −2.73614 6.23777i −0.0916127 0.208856i
\(893\) −13.4425 + 3.59721i −0.449835 + 0.120376i
\(894\) 2.18906 4.99055i 0.0732130 0.166909i
\(895\) 10.2092 + 52.2655i 0.341257 + 1.74704i
\(896\) 1.67629 + 2.03540i 0.0560009 + 0.0679981i
\(897\) 0.0556227 + 0.177836i 0.00185719 + 0.00593776i
\(898\) −2.80710 0.154872i −0.0936742 0.00516815i
\(899\) 6.67832 + 9.08618i 0.222734 + 0.303041i
\(900\) 3.30001 + 7.52327i 0.110000 + 0.250776i
\(901\) 5.47844 0.914191i 0.182513 0.0304561i
\(902\) −5.55555 + 2.25647i −0.184980 + 0.0751323i
\(903\) −4.58045 + 1.86042i −0.152428 + 0.0619109i
\(904\) −16.9081 + 2.82147i −0.562356 + 0.0938406i
\(905\) −4.85504 11.0684i −0.161387 0.367925i
\(906\) −6.96277 9.47319i −0.231323 0.314726i
\(907\) −8.22857 0.453983i −0.273225 0.0150742i −0.0820428 0.996629i \(-0.526144\pi\)
−0.191182 + 0.981555i \(0.561232\pi\)
\(908\) −2.22210 7.10443i −0.0737428 0.235769i
\(909\) −7.40412 8.99032i −0.245579 0.298190i
\(910\) −0.0673285 0.344685i −0.00223192 0.0114262i
\(911\) 14.0847 32.1099i 0.466648 1.06385i −0.512127 0.858910i \(-0.671142\pi\)
0.978775 0.204940i \(-0.0656998\pi\)
\(912\) 2.02033 + 2.52489i 0.0668997 + 0.0836073i
\(913\) −3.24071 7.38806i −0.107252 0.244509i
\(914\) 2.71221 1.88061i 0.0897120 0.0622049i
\(915\) 16.8468 7.95021i 0.556939 0.262826i
\(916\) 27.8489 + 7.87492i 0.920154 + 0.260195i
\(917\) 6.01858 0.666136i 0.198751 0.0219977i
\(918\) −14.3886 4.06871i −0.474895 0.134288i
\(919\) −4.44699 53.6672i −0.146693 1.77032i −0.531249 0.847216i \(-0.678277\pi\)
0.384556 0.923102i \(-0.374355\pi\)
\(920\) 12.4314 9.67578i 0.409853 0.319001i
\(921\) 0.00313071 + 0.0100094i 0.000103161 + 0.000329823i
\(922\) 18.4471 + 36.4524i 0.607522 + 1.20050i
\(923\) −0.600082 0.206008i −0.0197519 0.00678085i
\(924\) 1.92467 + 2.09075i 0.0633170 + 0.0687806i
\(925\) 0.967710 35.1067i 0.0318181 1.15430i
\(926\) −29.1636 6.53572i −0.958375 0.214777i
\(927\) 8.06294 9.79028i 0.264822 0.321555i
\(928\) 2.05442 2.79514i 0.0674397 0.0917551i
\(929\) −14.6552 3.28431i −0.480822 0.107755i −0.0284710 0.999595i \(-0.509064\pi\)
−0.452351 + 0.891840i \(0.649415\pi\)
\(930\) −6.59241 + 2.26318i −0.216174 + 0.0742125i
\(931\) 0.0422724 0.201281i 0.00138542 0.00659670i
\(932\) 9.65376 + 3.31414i 0.316219 + 0.108558i
\(933\) −16.1978 9.95675i −0.530292 0.325969i
\(934\) −1.22314 6.26182i −0.0400225 0.204893i
\(935\) 11.7108 10.1990i 0.382986 0.333542i
\(936\) 0.108626 0.0307165i 0.00355055 0.00100400i
\(937\) −41.8302 + 16.9899i −1.36653 + 0.555037i −0.937416 0.348212i \(-0.886789\pi\)
−0.429116 + 0.903249i \(0.641175\pi\)
\(938\) 3.90258 15.4109i 0.127424 0.503184i
\(939\) 2.34152 5.33813i 0.0764126 0.174203i
\(940\) −9.00363 + 2.01776i −0.293666 + 0.0658121i
\(941\) −29.3263 + 18.0268i −0.956009 + 0.587656i −0.911477 0.411351i \(-0.865057\pi\)
−0.0445321 + 0.999008i \(0.514180\pi\)
\(942\) −4.19027 4.55185i −0.136526 0.148307i
\(943\) 19.7857 + 10.7075i 0.644313 + 0.348685i
\(944\) −5.65616 + 6.86789i −0.184092 + 0.223531i
\(945\) 28.5464 + 11.5945i 0.928613 + 0.377170i
\(946\) 3.64926 + 0.403900i 0.118648 + 0.0131319i
\(947\) 29.4624 + 11.9666i 0.957400 + 0.388862i 0.800888 0.598814i \(-0.204361\pi\)
0.156512 + 0.987676i \(0.449975\pi\)
\(948\) 1.30262 1.77228i 0.0423072 0.0575611i
\(949\) 0.196949 + 0.106583i 0.00639323 + 0.00345984i
\(950\) −12.5602 + 7.47872i −0.407507 + 0.242642i
\(951\) −4.74683 + 2.56885i −0.153926 + 0.0833008i
\(952\) 1.33953 9.66001i 0.0434145 0.313083i
\(953\) −41.0490 2.26474i −1.32971 0.0733621i −0.623755 0.781620i \(-0.714394\pi\)
−0.705954 + 0.708258i \(0.749481\pi\)
\(954\) −0.505279 3.64381i −0.0163590 0.117973i
\(955\) 37.3032 17.6038i 1.20710 0.569646i
\(956\) 0.945588 1.63781i 0.0305825 0.0529705i
\(957\) 2.04479 3.12978i 0.0660986 0.101171i
\(958\) 1.09192 + 13.1775i 0.0352783 + 0.425745i
\(959\) −2.53526 18.2830i −0.0818679 0.590388i
\(960\) 1.26985 + 1.72770i 0.0409844 + 0.0557612i
\(961\) −5.01599 19.8077i −0.161806 0.638958i
\(962\) −0.476004 0.0794311i −0.0153470 0.00256096i
\(963\) −3.05264 + 0.684113i −0.0983700 + 0.0220452i
\(964\) 21.4412 + 13.1799i 0.690575 + 0.424495i
\(965\) 11.4312 + 22.5887i 0.367984 + 0.727156i
\(966\) 1.46444 10.5608i 0.0471176 0.339788i
\(967\) −5.95359 10.3119i −0.191455 0.331609i 0.754278 0.656555i \(-0.227987\pi\)
−0.945733 + 0.324946i \(0.894654\pi\)
\(968\) 2.18226 + 8.61756i 0.0701405 + 0.276979i
\(969\) 1.80967 11.8223i 0.0581349 0.379787i
\(970\) 9.57764 37.8212i 0.307519 1.21437i
\(971\) −2.00506 + 0.566976i −0.0643454 + 0.0181951i −0.304124 0.952632i \(-0.598364\pi\)
0.239779 + 0.970828i \(0.422925\pi\)
\(972\) −4.58384 + 14.6553i −0.147027 + 0.470070i
\(973\) −13.2160 6.23678i −0.423685 0.199942i
\(974\) 31.7977 22.0480i 1.01886 0.706464i
\(975\) −0.0157475 0.113563i −0.000504324 0.00363692i
\(976\) −6.85604 + 5.33627i −0.219456 + 0.170810i
\(977\) −6.13652 9.39265i −0.196325 0.300498i 0.725411 0.688316i \(-0.241650\pi\)
−0.921736 + 0.387819i \(0.873229\pi\)
\(978\) 15.6160 0.861557i 0.499344 0.0275496i
\(979\) 7.35449 6.40503i 0.235050 0.204706i
\(980\) 0.0334781 0.132202i 0.00106942 0.00422304i
\(981\) 48.4549 8.08569i 1.54705 0.258156i
\(982\) 11.9471 + 5.63798i 0.381248 + 0.179915i
\(983\) −7.57562 6.59761i −0.241625 0.210431i 0.527457 0.849582i \(-0.323146\pi\)
−0.769082 + 0.639151i \(0.779286\pi\)
\(984\) −1.53106 + 2.65187i −0.0488083 + 0.0845385i
\(985\) −19.3696 + 2.14383i −0.617167 + 0.0683081i
\(986\) −12.7522 + 1.41141i −0.406112 + 0.0449485i
\(987\) −3.41562 + 5.22799i −0.108720 + 0.166409i
\(988\) 0.0780856 + 0.185070i 0.00248423 + 0.00588785i
\(989\) −7.53424 11.5320i −0.239575 0.366697i
\(990\) −6.53874 7.93955i −0.207815 0.252336i
\(991\) 48.9989 + 30.1195i 1.55650 + 0.956777i 0.991271 + 0.131843i \(0.0420896\pi\)
0.565229 + 0.824934i \(0.308788\pi\)
\(992\) 2.76934 1.70231i 0.0879265 0.0540482i
\(993\) 1.51043 1.46936i 0.0479319 0.0466289i
\(994\) 26.0217 + 25.3143i 0.825359 + 0.802921i
\(995\) −45.2283 + 15.5269i −1.43383 + 0.492236i
\(996\) −3.62328 1.96082i −0.114808 0.0621311i
\(997\) 1.65604 60.0780i 0.0524473 1.90269i −0.280671 0.959804i \(-0.590557\pi\)
0.333118 0.942885i \(-0.391899\pi\)
\(998\) 20.0378 + 19.4931i 0.634286 + 0.617043i
\(999\) 28.6747 31.1490i 0.907228 0.985512i
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 722.2.i.a.501.10 yes 576
361.49 even 57 inner 722.2.i.a.49.10 576
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
722.2.i.a.49.10 576 361.49 even 57 inner
722.2.i.a.501.10 yes 576 1.1 even 1 trivial