Properties

Label 225.2.q.a.211.18
Level $225$
Weight $2$
Character 225.211
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [225,2,Mod(16,225)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(225, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([20, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("225.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), 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: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 211.18
Character \(\chi\) \(=\) 225.211
Dual form 225.2.q.a.16.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.520318 + 0.231661i) q^{2} +(-1.62589 + 0.597061i) q^{3} +(-1.12120 - 1.24522i) q^{4} +(2.21056 - 0.336764i) q^{5} +(-0.984295 - 0.0659928i) q^{6} +(1.58872 + 2.75174i) q^{7} +(-0.646919 - 1.99101i) q^{8} +(2.28704 - 1.94151i) q^{9} +O(q^{10})\) \(q+(0.520318 + 0.231661i) q^{2} +(-1.62589 + 0.597061i) q^{3} +(-1.12120 - 1.24522i) q^{4} +(2.21056 - 0.336764i) q^{5} +(-0.984295 - 0.0659928i) q^{6} +(1.58872 + 2.75174i) q^{7} +(-0.646919 - 1.99101i) q^{8} +(2.28704 - 1.94151i) q^{9} +(1.22821 + 0.336876i) q^{10} +(1.73440 + 0.772206i) q^{11} +(2.56641 + 1.35516i) q^{12} +(5.02577 - 2.23762i) q^{13} +(0.189169 + 1.79982i) q^{14} +(-3.39306 + 1.86738i) q^{15} +(-0.225661 + 2.14702i) q^{16} +(0.888735 + 2.73524i) q^{17} +(1.63976 - 0.480388i) q^{18} +(-1.39039 - 4.27917i) q^{19} +(-2.89782 - 2.37505i) q^{20} +(-4.22603 - 3.52546i) q^{21} +(0.723552 + 0.803585i) q^{22} +(0.335381 + 3.19093i) q^{23} +(2.24057 + 2.85091i) q^{24} +(4.77318 - 1.48888i) q^{25} +3.13337 q^{26} +(-2.55927 + 4.52218i) q^{27} +(1.64524 - 5.06353i) q^{28} +(-1.75597 + 0.373243i) q^{29} +(-2.19807 + 0.185594i) q^{30} +(-7.35558 - 1.56348i) q^{31} +(-2.70827 + 4.69086i) q^{32} +(-3.28100 - 0.219977i) q^{33} +(-0.171223 + 1.62908i) q^{34} +(4.43864 + 5.54787i) q^{35} +(-4.98182 - 0.671035i) q^{36} +(-4.57619 - 3.32479i) q^{37} +(0.267871 - 2.54863i) q^{38} +(-6.83536 + 6.63882i) q^{39} +(-2.10055 - 4.18340i) q^{40} +(-0.974346 + 0.433807i) q^{41} +(-1.38217 - 2.81337i) q^{42} +(-3.64392 - 6.31145i) q^{43} +(-0.983045 - 3.02550i) q^{44} +(4.40181 - 5.06203i) q^{45} +(-0.564709 + 1.73800i) q^{46} +(7.34730 - 1.56172i) q^{47} +(-0.915004 - 3.62556i) q^{48} +(-1.54804 + 2.68128i) q^{49} +(2.82849 + 0.331069i) q^{50} +(-3.07809 - 3.91658i) q^{51} +(-8.42120 - 3.74936i) q^{52} +(-0.982710 + 3.02447i) q^{53} +(-2.37924 + 1.76009i) q^{54} +(4.09406 + 1.12293i) q^{55} +(4.45097 - 4.94330i) q^{56} +(4.81554 + 6.12731i) q^{57} +(-1.00013 - 0.212584i) q^{58} +(-12.0714 + 5.37452i) q^{59} +(6.12959 + 2.13139i) q^{60} +(0.958206 + 0.426621i) q^{61} +(-3.46504 - 2.51750i) q^{62} +(8.97598 + 3.20881i) q^{63} +(0.997243 - 0.724540i) q^{64} +(10.3562 - 6.63890i) q^{65} +(-1.65620 - 0.874537i) q^{66} +(12.7060 + 2.70075i) q^{67} +(2.40952 - 4.17341i) q^{68} +(-2.45048 - 4.98787i) q^{69} +(1.02428 + 3.91491i) q^{70} +(-2.10454 + 6.47710i) q^{71} +(-5.34510 - 3.29751i) q^{72} +(-0.173732 + 0.126223i) q^{73} +(-1.61085 - 2.79007i) q^{74} +(-6.87172 + 5.27063i) q^{75} +(-3.76959 + 6.52912i) q^{76} +(0.630566 + 5.99944i) q^{77} +(-5.09451 + 1.87081i) q^{78} +(4.79399 - 1.01899i) q^{79} +(0.224201 + 4.82212i) q^{80} +(1.46107 - 8.88061i) q^{81} -0.607465 q^{82} +(-10.0251 + 11.1340i) q^{83} +(0.348258 + 9.21506i) q^{84} +(2.88574 + 5.74714i) q^{85} +(-0.433882 - 4.12812i) q^{86} +(2.63217 - 1.65527i) q^{87} +(0.415453 - 3.95277i) q^{88} +(-2.15019 + 1.56220i) q^{89} +(3.46301 - 1.61414i) q^{90} +(14.1419 + 10.2747i) q^{91} +(3.59737 - 3.99529i) q^{92} +(12.8929 - 1.84969i) q^{93} +(4.18472 + 0.889490i) q^{94} +(-4.51461 - 8.99114i) q^{95} +(1.60262 - 9.24382i) q^{96} +(-13.1990 + 2.80553i) q^{97} +(-1.42662 + 1.03650i) q^{98} +(5.46589 - 1.60130i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.520318 + 0.231661i 0.367920 + 0.163809i 0.582365 0.812927i \(-0.302127\pi\)
−0.214445 + 0.976736i \(0.568794\pi\)
\(3\) −1.62589 + 0.597061i −0.938708 + 0.344713i
\(4\) −1.12120 1.24522i −0.560598 0.622608i
\(5\) 2.21056 0.336764i 0.988594 0.150605i
\(6\) −0.984295 0.0659928i −0.401837 0.0269414i
\(7\) 1.58872 + 2.75174i 0.600478 + 1.04006i 0.992749 + 0.120209i \(0.0383565\pi\)
−0.392270 + 0.919850i \(0.628310\pi\)
\(8\) −0.646919 1.99101i −0.228720 0.703929i
\(9\) 2.28704 1.94151i 0.762345 0.647171i
\(10\) 1.22821 + 0.336876i 0.388394 + 0.106530i
\(11\) 1.73440 + 0.772206i 0.522942 + 0.232829i 0.651192 0.758913i \(-0.274269\pi\)
−0.128250 + 0.991742i \(0.540936\pi\)
\(12\) 2.56641 + 1.35516i 0.740859 + 0.391201i
\(13\) 5.02577 2.23762i 1.39390 0.620604i 0.433990 0.900917i \(-0.357105\pi\)
0.959908 + 0.280314i \(0.0904385\pi\)
\(14\) 0.189169 + 1.79982i 0.0505575 + 0.481023i
\(15\) −3.39306 + 1.86738i −0.876085 + 0.482156i
\(16\) −0.225661 + 2.14702i −0.0564153 + 0.536756i
\(17\) 0.888735 + 2.73524i 0.215550 + 0.663394i 0.999114 + 0.0420835i \(0.0133995\pi\)
−0.783564 + 0.621311i \(0.786600\pi\)
\(18\) 1.63976 0.480388i 0.386495 0.113228i
\(19\) −1.39039 4.27917i −0.318976 0.981708i −0.974087 0.226175i \(-0.927378\pi\)
0.655110 0.755533i \(-0.272622\pi\)
\(20\) −2.89782 2.37505i −0.647972 0.531077i
\(21\) −4.22603 3.52546i −0.922196 0.769319i
\(22\) 0.723552 + 0.803585i 0.154262 + 0.171325i
\(23\) 0.335381 + 3.19093i 0.0699317 + 0.665356i 0.972195 + 0.234171i \(0.0752376\pi\)
−0.902264 + 0.431185i \(0.858096\pi\)
\(24\) 2.24057 + 2.85091i 0.457355 + 0.581940i
\(25\) 4.77318 1.48888i 0.954636 0.297775i
\(26\) 3.13337 0.614504
\(27\) −2.55927 + 4.52218i −0.492531 + 0.870295i
\(28\) 1.64524 5.06353i 0.310921 0.956918i
\(29\) −1.75597 + 0.373243i −0.326076 + 0.0693095i −0.368041 0.929810i \(-0.619971\pi\)
0.0419654 + 0.999119i \(0.486638\pi\)
\(30\) −2.19807 + 0.185594i −0.401311 + 0.0338846i
\(31\) −7.35558 1.56348i −1.32110 0.280809i −0.507208 0.861824i \(-0.669322\pi\)
−0.813893 + 0.581015i \(0.802656\pi\)
\(32\) −2.70827 + 4.69086i −0.478759 + 0.829234i
\(33\) −3.28100 0.219977i −0.571149 0.0382931i
\(34\) −0.171223 + 1.62908i −0.0293646 + 0.279385i
\(35\) 4.43864 + 5.54787i 0.750268 + 0.937761i
\(36\) −4.98182 0.671035i −0.830303 0.111839i
\(37\) −4.57619 3.32479i −0.752320 0.546593i 0.144225 0.989545i \(-0.453931\pi\)
−0.896545 + 0.442952i \(0.853931\pi\)
\(38\) 0.267871 2.54863i 0.0434545 0.413442i
\(39\) −6.83536 + 6.63882i −1.09453 + 1.06306i
\(40\) −2.10055 4.18340i −0.332127 0.661453i
\(41\) −0.974346 + 0.433807i −0.152167 + 0.0677492i −0.481407 0.876497i \(-0.659874\pi\)
0.329240 + 0.944246i \(0.393207\pi\)
\(42\) −1.38217 2.81337i −0.213274 0.434112i
\(43\) −3.64392 6.31145i −0.555692 0.962488i −0.997849 0.0655498i \(-0.979120\pi\)
0.442157 0.896938i \(-0.354213\pi\)
\(44\) −0.983045 3.02550i −0.148200 0.456111i
\(45\) 4.40181 5.06203i 0.656183 0.754602i
\(46\) −0.564709 + 1.73800i −0.0832618 + 0.256253i
\(47\) 7.34730 1.56172i 1.07171 0.227800i 0.361920 0.932209i \(-0.382121\pi\)
0.709794 + 0.704409i \(0.248788\pi\)
\(48\) −0.915004 3.62556i −0.132069 0.523304i
\(49\) −1.54804 + 2.68128i −0.221149 + 0.383040i
\(50\) 2.82849 + 0.331069i 0.400008 + 0.0468202i
\(51\) −3.07809 3.91658i −0.431019 0.548431i
\(52\) −8.42120 3.74936i −1.16781 0.519943i
\(53\) −0.982710 + 3.02447i −0.134986 + 0.415443i −0.995588 0.0938349i \(-0.970087\pi\)
0.860602 + 0.509278i \(0.170087\pi\)
\(54\) −2.37924 + 1.76009i −0.323774 + 0.239518i
\(55\) 4.09406 + 1.12293i 0.552043 + 0.151415i
\(56\) 4.45097 4.94330i 0.594786 0.660576i
\(57\) 4.81554 + 6.12731i 0.637834 + 0.811582i
\(58\) −1.00013 0.212584i −0.131323 0.0279136i
\(59\) −12.0714 + 5.37452i −1.57156 + 0.699703i −0.993237 0.116106i \(-0.962959\pi\)
−0.578321 + 0.815809i \(0.696292\pi\)
\(60\) 6.12959 + 2.13139i 0.791326 + 0.275161i
\(61\) 0.958206 + 0.426621i 0.122686 + 0.0546232i 0.467162 0.884172i \(-0.345277\pi\)
−0.344476 + 0.938795i \(0.611943\pi\)
\(62\) −3.46504 2.51750i −0.440061 0.319723i
\(63\) 8.97598 + 3.20881i 1.13087 + 0.404272i
\(64\) 0.997243 0.724540i 0.124655 0.0905675i
\(65\) 10.3562 6.63890i 1.28453 0.823454i
\(66\) −1.65620 0.874537i −0.203865 0.107648i
\(67\) 12.7060 + 2.70075i 1.55229 + 0.329949i 0.902677 0.430319i \(-0.141599\pi\)
0.649610 + 0.760268i \(0.274932\pi\)
\(68\) 2.40952 4.17341i 0.292197 0.506101i
\(69\) −2.45048 4.98787i −0.295003 0.600468i
\(70\) 1.02428 + 3.91491i 0.122425 + 0.467922i
\(71\) −2.10454 + 6.47710i −0.249763 + 0.768690i 0.745054 + 0.667004i \(0.232424\pi\)
−0.994817 + 0.101686i \(0.967576\pi\)
\(72\) −5.34510 3.29751i −0.629926 0.388616i
\(73\) −0.173732 + 0.126223i −0.0203337 + 0.0147733i −0.597906 0.801566i \(-0.704000\pi\)
0.577572 + 0.816340i \(0.304000\pi\)
\(74\) −1.61085 2.79007i −0.187257 0.324339i
\(75\) −6.87172 + 5.27063i −0.793477 + 0.608600i
\(76\) −3.76959 + 6.52912i −0.432402 + 0.748941i
\(77\) 0.630566 + 5.99944i 0.0718597 + 0.683699i
\(78\) −5.09451 + 1.87081i −0.576840 + 0.211828i
\(79\) 4.79399 1.01899i 0.539366 0.114646i 0.0698299 0.997559i \(-0.477754\pi\)
0.469537 + 0.882913i \(0.344421\pi\)
\(80\) 0.224201 + 4.82212i 0.0250665 + 0.539130i
\(81\) 1.46107 8.88061i 0.162341 0.986735i
\(82\) −0.607465 −0.0670833
\(83\) −10.0251 + 11.1340i −1.10039 + 1.22211i −0.127261 + 0.991869i \(0.540619\pi\)
−0.973133 + 0.230243i \(0.926048\pi\)
\(84\) 0.348258 + 9.21506i 0.0379980 + 1.00545i
\(85\) 2.88574 + 5.74714i 0.313002 + 0.623365i
\(86\) −0.433882 4.12812i −0.0467867 0.445146i
\(87\) 2.63217 1.65527i 0.282198 0.177464i
\(88\) 0.415453 3.95277i 0.0442874 0.421367i
\(89\) −2.15019 + 1.56220i −0.227920 + 0.165593i −0.695884 0.718154i \(-0.744987\pi\)
0.467965 + 0.883747i \(0.344987\pi\)
\(90\) 3.46301 1.61414i 0.365033 0.170145i
\(91\) 14.1419 + 10.2747i 1.48247 + 1.07708i
\(92\) 3.59737 3.99529i 0.375052 0.416537i
\(93\) 12.8929 1.84969i 1.33693 0.191804i
\(94\) 4.18472 + 0.889490i 0.431621 + 0.0917439i
\(95\) −4.51461 8.99114i −0.463189 0.922472i
\(96\) 1.60262 9.24382i 0.163566 0.943444i
\(97\) −13.1990 + 2.80553i −1.34015 + 0.284858i −0.821539 0.570152i \(-0.806884\pi\)
−0.518612 + 0.855010i \(0.673551\pi\)
\(98\) −1.42662 + 1.03650i −0.144110 + 0.104702i
\(99\) 5.46589 1.60130i 0.549342 0.160937i
\(100\) −7.20565 4.27431i −0.720565 0.427431i
\(101\) −6.60846 11.4462i −0.657566 1.13894i −0.981244 0.192771i \(-0.938253\pi\)
0.323678 0.946167i \(-0.395081\pi\)
\(102\) −0.694271 2.75094i −0.0687431 0.272384i
\(103\) −3.65814 4.06278i −0.360447 0.400317i 0.535458 0.844562i \(-0.320139\pi\)
−0.895906 + 0.444244i \(0.853472\pi\)
\(104\) −7.70639 8.55881i −0.755674 0.839261i
\(105\) −10.5292 6.37008i −1.02754 0.621656i
\(106\) −1.21197 + 1.34603i −0.117717 + 0.130738i
\(107\) 11.8545 1.14602 0.573009 0.819549i \(-0.305776\pi\)
0.573009 + 0.819549i \(0.305776\pi\)
\(108\) 8.50054 1.88342i 0.817964 0.181232i
\(109\) 3.14760 + 2.28686i 0.301485 + 0.219042i 0.728234 0.685328i \(-0.240341\pi\)
−0.426749 + 0.904370i \(0.640341\pi\)
\(110\) 1.87008 + 1.53271i 0.178305 + 0.146138i
\(111\) 9.42548 + 2.67349i 0.894627 + 0.253756i
\(112\) −6.26655 + 2.79005i −0.592134 + 0.263635i
\(113\) −19.0568 + 8.48462i −1.79271 + 0.798166i −0.817822 + 0.575471i \(0.804819\pi\)
−0.974888 + 0.222695i \(0.928515\pi\)
\(114\) 1.08616 + 4.30372i 0.101728 + 0.403080i
\(115\) 1.81597 + 6.94082i 0.169340 + 0.647235i
\(116\) 2.43356 + 1.76808i 0.225950 + 0.164162i
\(117\) 7.14976 14.8751i 0.660996 1.37520i
\(118\) −7.52601 −0.692826
\(119\) −6.11473 + 6.79109i −0.560536 + 0.622539i
\(120\) 5.91301 + 5.54758i 0.539782 + 0.506423i
\(121\) −4.94858 5.49596i −0.449871 0.499633i
\(122\) 0.399741 + 0.443957i 0.0361908 + 0.0401940i
\(123\) 1.32517 1.28707i 0.119487 0.116051i
\(124\) 6.30019 + 10.9122i 0.565774 + 0.979949i
\(125\) 10.0500 4.89869i 0.898901 0.438152i
\(126\) 3.92701 + 3.74898i 0.349846 + 0.333986i
\(127\) −8.35355 + 6.06921i −0.741258 + 0.538555i −0.893105 0.449849i \(-0.851478\pi\)
0.151847 + 0.988404i \(0.451478\pi\)
\(128\) 11.2831 2.39829i 0.997292 0.211981i
\(129\) 9.69293 + 8.08608i 0.853415 + 0.711940i
\(130\) 6.92651 1.05521i 0.607495 0.0925476i
\(131\) 3.39927 + 0.722537i 0.296996 + 0.0631284i 0.354000 0.935246i \(-0.384821\pi\)
−0.0570039 + 0.998374i \(0.518155\pi\)
\(132\) 3.40473 + 4.33219i 0.296344 + 0.377069i
\(133\) 9.56622 10.6244i 0.829496 0.921249i
\(134\) 5.98551 + 4.34873i 0.517069 + 0.375673i
\(135\) −4.13451 + 10.8584i −0.355842 + 0.934546i
\(136\) 4.87096 3.53896i 0.417682 0.303463i
\(137\) −0.305626 + 2.90784i −0.0261114 + 0.248433i 0.973678 + 0.227927i \(0.0731946\pi\)
−0.999790 + 0.0205067i \(0.993472\pi\)
\(138\) −0.119535 3.16295i −0.0101755 0.269249i
\(139\) −0.474674 4.51623i −0.0402614 0.383061i −0.996035 0.0889589i \(-0.971646\pi\)
0.955774 0.294102i \(-0.0950206\pi\)
\(140\) 1.93170 11.7473i 0.163258 0.992830i
\(141\) −11.0135 + 6.92597i −0.927501 + 0.583272i
\(142\) −2.59552 + 2.88261i −0.217811 + 0.241904i
\(143\) 10.4446 0.873423
\(144\) 3.65237 + 5.34844i 0.304364 + 0.445703i
\(145\) −3.75599 + 1.41643i −0.311918 + 0.117628i
\(146\) −0.119637 + 0.0254296i −0.00990120 + 0.00210457i
\(147\) 0.916052 5.28375i 0.0755547 0.435796i
\(148\) 0.990722 + 9.42609i 0.0814368 + 0.774820i
\(149\) 10.6857 18.5083i 0.875411 1.51626i 0.0190860 0.999818i \(-0.493924\pi\)
0.856325 0.516438i \(-0.172742\pi\)
\(150\) −4.79647 + 1.15050i −0.391630 + 0.0939377i
\(151\) −10.4131 18.0359i −0.847402 1.46774i −0.883518 0.468397i \(-0.844832\pi\)
0.0361159 0.999348i \(-0.488501\pi\)
\(152\) −7.62040 + 5.53655i −0.618096 + 0.449073i
\(153\) 7.34308 + 4.53011i 0.593653 + 0.366238i
\(154\) −1.06174 + 3.26769i −0.0855573 + 0.263318i
\(155\) −16.7865 0.979071i −1.34832 0.0786409i
\(156\) 15.9305 + 1.06807i 1.27546 + 0.0855144i
\(157\) 6.10055 10.5665i 0.486877 0.843296i −0.513009 0.858383i \(-0.671469\pi\)
0.999886 + 0.0150873i \(0.00480263\pi\)
\(158\) 2.73046 + 0.580378i 0.217224 + 0.0461724i
\(159\) −0.208016 5.50419i −0.0164967 0.436511i
\(160\) −4.40709 + 11.2815i −0.348411 + 0.891880i
\(161\) −8.24779 + 5.99237i −0.650017 + 0.472265i
\(162\) 2.81751 4.28227i 0.221364 0.336447i
\(163\) −1.97156 1.43242i −0.154424 0.112196i 0.507890 0.861422i \(-0.330426\pi\)
−0.662314 + 0.749226i \(0.730426\pi\)
\(164\) 1.63262 + 0.726887i 0.127486 + 0.0567604i
\(165\) −7.32694 + 0.618650i −0.570402 + 0.0481618i
\(166\) −7.79553 + 3.47079i −0.605050 + 0.269386i
\(167\) 4.18740 + 0.890059i 0.324031 + 0.0688748i 0.367055 0.930199i \(-0.380366\pi\)
−0.0430245 + 0.999074i \(0.513699\pi\)
\(168\) −4.28533 + 10.6948i −0.330620 + 0.825119i
\(169\) 11.5528 12.8306i 0.888674 0.986973i
\(170\) 0.170116 + 3.65885i 0.0130473 + 0.280621i
\(171\) −11.4879 7.08716i −0.878503 0.541969i
\(172\) −3.77357 + 11.6138i −0.287732 + 0.885547i
\(173\) −3.56921 1.58911i −0.271362 0.120818i 0.266545 0.963823i \(-0.414118\pi\)
−0.537907 + 0.843004i \(0.680785\pi\)
\(174\) 1.75303 0.251500i 0.132897 0.0190662i
\(175\) 11.6802 + 10.7691i 0.882942 + 0.814070i
\(176\) −2.04933 + 3.54955i −0.154474 + 0.267557i
\(177\) 16.4178 15.9457i 1.23404 1.19855i
\(178\) −1.48068 + 0.314729i −0.110982 + 0.0235899i
\(179\) 6.86538 21.1295i 0.513142 1.57929i −0.273495 0.961874i \(-0.588180\pi\)
0.786637 0.617416i \(-0.211820\pi\)
\(180\) −11.2386 + 0.194330i −0.837676 + 0.0144845i
\(181\) 7.16149 + 22.0408i 0.532309 + 1.63828i 0.749393 + 0.662126i \(0.230346\pi\)
−0.217083 + 0.976153i \(0.569654\pi\)
\(182\) 4.97803 + 8.62221i 0.368996 + 0.639121i
\(183\) −1.81266 0.121531i −0.133995 0.00898382i
\(184\) 6.13622 2.73202i 0.452368 0.201407i
\(185\) −11.2356 5.80857i −0.826059 0.427055i
\(186\) 7.13688 + 2.02434i 0.523302 + 0.148432i
\(187\) −0.570748 + 5.43030i −0.0417372 + 0.397103i
\(188\) −10.1824 7.39798i −0.742631 0.539553i
\(189\) −16.5098 + 0.142037i −1.20091 + 0.0103317i
\(190\) −0.266138 5.72411i −0.0193077 0.415270i
\(191\) 0.791639 7.53194i 0.0572810 0.544992i −0.927822 0.373024i \(-0.878321\pi\)
0.985103 0.171968i \(-0.0550125\pi\)
\(192\) −1.18881 + 1.77344i −0.0857952 + 0.127987i
\(193\) −5.75178 + 9.96237i −0.414022 + 0.717107i −0.995325 0.0965798i \(-0.969210\pi\)
0.581303 + 0.813687i \(0.302543\pi\)
\(194\) −7.51759 1.59791i −0.539731 0.114723i
\(195\) −12.8743 + 16.9774i −0.921946 + 1.21578i
\(196\) 5.07443 1.07860i 0.362459 0.0770431i
\(197\) −1.04613 + 3.21965i −0.0745335 + 0.229390i −0.981382 0.192066i \(-0.938481\pi\)
0.906848 + 0.421457i \(0.138481\pi\)
\(198\) 3.21496 + 0.433045i 0.228477 + 0.0307752i
\(199\) −16.4429 −1.16560 −0.582802 0.812614i \(-0.698044\pi\)
−0.582802 + 0.812614i \(0.698044\pi\)
\(200\) −6.05223 8.54027i −0.427957 0.603888i
\(201\) −22.2711 + 3.19515i −1.57088 + 0.225369i
\(202\) −0.786871 7.48658i −0.0553640 0.526754i
\(203\) −3.81681 4.23899i −0.267887 0.297519i
\(204\) −1.42583 + 8.22414i −0.0998283 + 0.575805i
\(205\) −2.00776 + 1.28708i −0.140228 + 0.0898936i
\(206\) −0.962211 2.96138i −0.0670404 0.206329i
\(207\) 6.96226 + 6.64664i 0.483911 + 0.461973i
\(208\) 3.67010 + 11.2954i 0.254475 + 0.783195i
\(209\) 0.892910 8.49547i 0.0617638 0.587644i
\(210\) −4.00282 5.75366i −0.276221 0.397040i
\(211\) 0.988953 + 9.40926i 0.0680823 + 0.647760i 0.974347 + 0.225050i \(0.0722545\pi\)
−0.906265 + 0.422710i \(0.861079\pi\)
\(212\) 4.86793 2.16734i 0.334331 0.148854i
\(213\) −0.445479 11.7876i −0.0305237 0.807672i
\(214\) 6.16811 + 2.74622i 0.421644 + 0.187728i
\(215\) −10.1806 12.7247i −0.694310 0.867819i
\(216\) 10.6594 + 2.17004i 0.725277 + 0.147653i
\(217\) −7.38365 22.7245i −0.501235 1.54264i
\(218\) 1.10797 + 1.91907i 0.0750415 + 0.129976i
\(219\) 0.207105 0.308954i 0.0139949 0.0208772i
\(220\) −3.19196 6.35701i −0.215202 0.428589i
\(221\) 10.5870 + 11.7581i 0.712160 + 0.790933i
\(222\) 4.28491 + 3.57457i 0.287584 + 0.239910i
\(223\) 1.13308 + 0.504480i 0.0758767 + 0.0337825i 0.444324 0.895866i \(-0.353444\pi\)
−0.368447 + 0.929649i \(0.620111\pi\)
\(224\) −17.2107 −1.14994
\(225\) 8.02577 12.6723i 0.535051 0.844820i
\(226\) −11.8811 −0.790321
\(227\) −22.1073 9.84279i −1.46731 0.653289i −0.491296 0.870993i \(-0.663477\pi\)
−0.976015 + 0.217704i \(0.930143\pi\)
\(228\) 2.23065 12.8663i 0.147729 0.852092i
\(229\) 2.50498 + 2.78206i 0.165534 + 0.183844i 0.820205 0.572070i \(-0.193860\pi\)
−0.654671 + 0.755914i \(0.727193\pi\)
\(230\) −0.663031 + 4.03212i −0.0437190 + 0.265870i
\(231\) −4.60726 9.37794i −0.303136 0.617023i
\(232\) 1.87910 + 3.25470i 0.123369 + 0.213681i
\(233\) 2.75742 + 8.48645i 0.180644 + 0.555966i 0.999846 0.0175392i \(-0.00558319\pi\)
−0.819202 + 0.573505i \(0.805583\pi\)
\(234\) 7.16613 6.08347i 0.468464 0.397689i
\(235\) 15.7157 5.92658i 1.02518 0.386608i
\(236\) 20.2268 + 9.00556i 1.31665 + 0.586212i
\(237\) −7.18610 + 4.51908i −0.466788 + 0.293546i
\(238\) −4.75483 + 2.11699i −0.308210 + 0.137224i
\(239\) −0.680615 6.47562i −0.0440253 0.418873i −0.994232 0.107252i \(-0.965795\pi\)
0.950207 0.311621i \(-0.100872\pi\)
\(240\) −3.24363 7.70638i −0.209375 0.497445i
\(241\) −2.63541 + 25.0743i −0.169762 + 1.61518i 0.495528 + 0.868592i \(0.334975\pi\)
−0.665290 + 0.746585i \(0.731692\pi\)
\(242\) −1.30164 4.00604i −0.0836726 0.257518i
\(243\) 2.92674 + 15.3112i 0.187750 + 0.982217i
\(244\) −0.543103 1.67150i −0.0347686 0.107007i
\(245\) −2.51908 + 6.44847i −0.160938 + 0.411978i
\(246\) 0.987672 0.362694i 0.0629717 0.0231245i
\(247\) −16.5629 18.3950i −1.05387 1.17044i
\(248\) 1.64556 + 15.6565i 0.104493 + 0.994187i
\(249\) 9.65200 24.0882i 0.611671 1.52653i
\(250\) 6.36404 0.220683i 0.402497 0.0139572i
\(251\) 28.2055 1.78032 0.890159 0.455650i \(-0.150593\pi\)
0.890159 + 0.455650i \(0.150593\pi\)
\(252\) −6.06818 14.7747i −0.382260 0.930721i
\(253\) −1.88237 + 5.79335i −0.118344 + 0.364225i
\(254\) −5.75250 + 1.22273i −0.360944 + 0.0767210i
\(255\) −8.12328 7.62125i −0.508700 0.477261i
\(256\) 4.01493 + 0.853400i 0.250933 + 0.0533375i
\(257\) −13.6020 + 23.5593i −0.848468 + 1.46959i 0.0341065 + 0.999418i \(0.489141\pi\)
−0.882575 + 0.470172i \(0.844192\pi\)
\(258\) 3.17018 + 6.45281i 0.197367 + 0.401734i
\(259\) 1.87870 17.8746i 0.116737 1.11067i
\(260\) −19.8782 5.45224i −1.23280 0.338134i
\(261\) −3.29131 + 4.26286i −0.203727 + 0.263864i
\(262\) 1.60132 + 1.16343i 0.0989298 + 0.0718767i
\(263\) −1.60354 + 15.2566i −0.0988784 + 0.940765i 0.826811 + 0.562480i \(0.190153\pi\)
−0.925689 + 0.378285i \(0.876514\pi\)
\(264\) 1.68456 + 6.67482i 0.103678 + 0.410807i
\(265\) −1.15381 + 7.01672i −0.0708780 + 0.431034i
\(266\) 7.43872 3.31193i 0.456097 0.203068i
\(267\) 2.56324 3.82377i 0.156868 0.234011i
\(268\) −10.8829 18.8498i −0.664781 1.15143i
\(269\) 5.41294 + 16.6593i 0.330033 + 1.01574i 0.969117 + 0.246600i \(0.0793134\pi\)
−0.639084 + 0.769137i \(0.720687\pi\)
\(270\) −4.66673 + 4.69204i −0.284008 + 0.285548i
\(271\) −2.30906 + 7.10654i −0.140265 + 0.431692i −0.996372 0.0851075i \(-0.972877\pi\)
0.856107 + 0.516799i \(0.172877\pi\)
\(272\) −6.07319 + 1.29090i −0.368241 + 0.0782720i
\(273\) −29.1277 8.26192i −1.76289 0.500034i
\(274\) −0.832653 + 1.44220i −0.0503024 + 0.0871264i
\(275\) 9.42834 + 1.10357i 0.568550 + 0.0665477i
\(276\) −3.46350 + 8.64375i −0.208478 + 0.520293i
\(277\) 5.12669 + 2.28255i 0.308033 + 0.137145i 0.554931 0.831896i \(-0.312745\pi\)
−0.246898 + 0.969041i \(0.579411\pi\)
\(278\) 0.799249 2.45984i 0.0479358 0.147531i
\(279\) −19.8580 + 10.7052i −1.18887 + 0.640904i
\(280\) 8.17442 12.4264i 0.488515 0.742620i
\(281\) 6.80056 7.55279i 0.405688 0.450562i −0.505332 0.862925i \(-0.668630\pi\)
0.911019 + 0.412363i \(0.135297\pi\)
\(282\) −7.33498 + 1.05232i −0.436792 + 0.0626649i
\(283\) −11.5913 2.46381i −0.689033 0.146459i −0.149928 0.988697i \(-0.547904\pi\)
−0.539105 + 0.842238i \(0.681237\pi\)
\(284\) 10.4250 4.64150i 0.618609 0.275422i
\(285\) 12.7085 + 11.9231i 0.752787 + 0.706264i
\(286\) 5.43452 + 2.41961i 0.321350 + 0.143074i
\(287\) −2.74168 1.99195i −0.161836 0.117581i
\(288\) 2.91345 + 15.9863i 0.171677 + 0.942002i
\(289\) 7.06157 5.13053i 0.415387 0.301796i
\(290\) −2.28244 0.133123i −0.134029 0.00781726i
\(291\) 19.7850 12.4421i 1.15982 0.729367i
\(292\) 0.351963 + 0.0748120i 0.0205971 + 0.00437804i
\(293\) −8.45858 + 14.6507i −0.494156 + 0.855903i −0.999977 0.00673521i \(-0.997856\pi\)
0.505822 + 0.862638i \(0.331189\pi\)
\(294\) 1.70067 2.53702i 0.0991853 0.147962i
\(295\) −24.8746 + 15.9459i −1.44825 + 0.928407i
\(296\) −3.65928 + 11.2621i −0.212691 + 0.654597i
\(297\) −7.93086 + 5.86701i −0.460195 + 0.340438i
\(298\) 9.84762 7.15472i 0.570457 0.414462i
\(299\) 8.82564 + 15.2865i 0.510400 + 0.884039i
\(300\) 14.2676 + 2.64735i 0.823741 + 0.152845i
\(301\) 11.5783 20.0542i 0.667363 1.15591i
\(302\) −1.23989 11.7967i −0.0713474 0.678825i
\(303\) 17.5787 + 14.6646i 1.00987 + 0.842458i
\(304\) 9.50123 2.01955i 0.544933 0.115829i
\(305\) 2.26185 + 0.620383i 0.129513 + 0.0355231i
\(306\) 2.77129 + 4.05820i 0.158424 + 0.231992i
\(307\) −1.52786 −0.0871995 −0.0435997 0.999049i \(-0.513883\pi\)
−0.0435997 + 0.999049i \(0.513883\pi\)
\(308\) 6.76360 7.51174i 0.385392 0.428021i
\(309\) 8.37346 + 4.42149i 0.476349 + 0.251530i
\(310\) −8.50750 4.39820i −0.483194 0.249801i
\(311\) 0.956654 + 9.10196i 0.0542469 + 0.516125i 0.987580 + 0.157114i \(0.0502191\pi\)
−0.933334 + 0.359010i \(0.883114\pi\)
\(312\) 17.6399 + 9.31450i 0.998661 + 0.527330i
\(313\) 0.0373152 0.355030i 0.00210918 0.0200675i −0.993417 0.114557i \(-0.963455\pi\)
0.995526 + 0.0944894i \(0.0301218\pi\)
\(314\) 5.62206 4.08467i 0.317271 0.230511i
\(315\) 20.9226 + 4.07049i 1.17885 + 0.229346i
\(316\) −6.64388 4.82706i −0.373747 0.271543i
\(317\) 12.0031 13.3308i 0.674164 0.748735i −0.304879 0.952391i \(-0.598616\pi\)
0.979042 + 0.203657i \(0.0652826\pi\)
\(318\) 1.16687 2.91212i 0.0654348 0.163304i
\(319\) −3.33378 0.708617i −0.186656 0.0396749i
\(320\) 1.96047 1.93748i 0.109594 0.108308i
\(321\) −19.2741 + 7.07787i −1.07578 + 0.395048i
\(322\) −5.67967 + 1.20725i −0.316516 + 0.0672775i
\(323\) 10.4689 7.60609i 0.582504 0.423214i
\(324\) −12.6964 + 8.13757i −0.705357 + 0.452087i
\(325\) 20.6574 18.1633i 1.14587 1.00752i
\(326\) −0.694002 1.20205i −0.0384372 0.0665752i
\(327\) −6.48304 1.83888i −0.358513 0.101690i
\(328\) 1.49404 + 1.65929i 0.0824943 + 0.0916192i
\(329\) 15.9702 + 17.7367i 0.880467 + 0.977857i
\(330\) −3.95566 1.37547i −0.217752 0.0757171i
\(331\) 8.74392 9.71111i 0.480609 0.533771i −0.453263 0.891377i \(-0.649740\pi\)
0.933873 + 0.357606i \(0.116407\pi\)
\(332\) 25.1043 1.37778
\(333\) −16.9210 + 1.28080i −0.927267 + 0.0701872i
\(334\) 1.97259 + 1.43317i 0.107935 + 0.0784195i
\(335\) 28.9970 + 1.69125i 1.58427 + 0.0924026i
\(336\) 8.52290 8.27783i 0.464962 0.451593i
\(337\) 21.3210 9.49273i 1.16143 0.517102i 0.266731 0.963771i \(-0.414057\pi\)
0.894699 + 0.446669i \(0.147390\pi\)
\(338\) 8.98347 3.99970i 0.488636 0.217555i
\(339\) 25.9184 25.1731i 1.40769 1.36722i
\(340\) 3.92095 10.0370i 0.212643 0.544335i
\(341\) −11.5502 8.39172i −0.625479 0.454437i
\(342\) −4.33556 6.34887i −0.234440 0.343308i
\(343\) 12.4044 0.669777
\(344\) −10.2089 + 11.3381i −0.550424 + 0.611308i
\(345\) −7.09666 10.2008i −0.382071 0.549190i
\(346\) −1.48899 1.65369i −0.0800485 0.0889029i
\(347\) 5.32071 + 5.90924i 0.285630 + 0.317225i 0.868836 0.495100i \(-0.164869\pi\)
−0.583206 + 0.812325i \(0.698202\pi\)
\(348\) −5.01235 1.42173i −0.268690 0.0762125i
\(349\) 3.94486 + 6.83270i 0.211163 + 0.365746i 0.952079 0.305852i \(-0.0989414\pi\)
−0.740915 + 0.671598i \(0.765608\pi\)
\(350\) 3.58265 + 8.30922i 0.191501 + 0.444147i
\(351\) −2.74337 + 28.4541i −0.146430 + 1.51877i
\(352\) −8.31954 + 6.04450i −0.443433 + 0.322173i
\(353\) −3.90052 + 0.829082i −0.207604 + 0.0441276i −0.310540 0.950560i \(-0.600510\pi\)
0.102936 + 0.994688i \(0.467176\pi\)
\(354\) 12.2365 4.49349i 0.650361 0.238826i
\(355\) −2.47096 + 15.0268i −0.131145 + 0.797538i
\(356\) 4.35607 + 0.925911i 0.230871 + 0.0490732i
\(357\) 5.88718 14.6924i 0.311582 0.777606i
\(358\) 8.46704 9.40360i 0.447497 0.496996i
\(359\) −4.35344 3.16296i −0.229766 0.166935i 0.466946 0.884286i \(-0.345354\pi\)
−0.696712 + 0.717351i \(0.745354\pi\)
\(360\) −12.9262 5.48933i −0.681268 0.289313i
\(361\) −1.00678 + 0.731470i −0.0529885 + 0.0384984i
\(362\) −1.37973 + 13.1273i −0.0725170 + 0.689953i
\(363\) 11.3273 + 5.98122i 0.594528 + 0.313933i
\(364\) −3.06164 29.1296i −0.160474 1.52681i
\(365\) −0.341537 + 0.337531i −0.0178769 + 0.0176672i
\(366\) −0.915004 0.483156i −0.0478280 0.0252550i
\(367\) 7.71153 8.56452i 0.402539 0.447064i −0.507460 0.861675i \(-0.669416\pi\)
0.909999 + 0.414611i \(0.136082\pi\)
\(368\) −6.92669 −0.361079
\(369\) −1.38612 + 2.88383i −0.0721587 + 0.150126i
\(370\) −4.50048 5.62516i −0.233969 0.292438i
\(371\) −9.88380 + 2.10087i −0.513141 + 0.109072i
\(372\) −16.7587 13.9805i −0.868898 0.724856i
\(373\) 1.50209 + 14.2914i 0.0777751 + 0.739981i 0.962024 + 0.272965i \(0.0880043\pi\)
−0.884249 + 0.467016i \(0.845329\pi\)
\(374\) −1.55496 + 2.69327i −0.0804049 + 0.139265i
\(375\) −13.4154 + 13.9652i −0.692769 + 0.721160i
\(376\) −7.86250 13.6183i −0.405478 0.702308i
\(377\) −7.98994 + 5.80503i −0.411503 + 0.298974i
\(378\) −8.62326 3.75077i −0.443533 0.192919i
\(379\) 2.36999 7.29407i 0.121738 0.374671i −0.871555 0.490298i \(-0.836888\pi\)
0.993293 + 0.115627i \(0.0368878\pi\)
\(380\) −6.13414 + 15.7025i −0.314675 + 0.805521i
\(381\) 9.95827 14.8555i 0.510177 0.761068i
\(382\) 2.15676 3.73561i 0.110349 0.191131i
\(383\) 15.0744 + 3.20417i 0.770268 + 0.163726i 0.576251 0.817273i \(-0.304515\pi\)
0.194017 + 0.980998i \(0.437848\pi\)
\(384\) −16.9131 + 10.6360i −0.863094 + 0.542768i
\(385\) 3.41430 + 13.0498i 0.174009 + 0.665079i
\(386\) −5.30064 + 3.85114i −0.269796 + 0.196018i
\(387\) −20.5875 7.35981i −1.04652 0.374120i
\(388\) 18.2921 + 13.2900i 0.928642 + 0.674698i
\(389\) 6.57053 + 2.92539i 0.333139 + 0.148323i 0.566488 0.824070i \(-0.308302\pi\)
−0.233349 + 0.972393i \(0.574968\pi\)
\(390\) −10.6317 + 5.85120i −0.538358 + 0.296287i
\(391\) −8.42992 + 3.75324i −0.426319 + 0.189810i
\(392\) 6.33992 + 1.34759i 0.320214 + 0.0680636i
\(393\) −5.95824 + 0.854807i −0.300553 + 0.0431193i
\(394\) −1.29018 + 1.43289i −0.0649985 + 0.0721882i
\(395\) 10.2543 3.86700i 0.515948 0.194570i
\(396\) −8.12230 5.01084i −0.408161 0.251804i
\(397\) 3.92783 12.0886i 0.197132 0.606710i −0.802813 0.596231i \(-0.796664\pi\)
0.999945 0.0104793i \(-0.00333573\pi\)
\(398\) −8.55552 3.80916i −0.428850 0.190936i
\(399\) −9.21022 + 22.9857i −0.461088 + 1.15072i
\(400\) 2.11953 + 10.5841i 0.105976 + 0.529205i
\(401\) 13.8845 24.0487i 0.693361 1.20094i −0.277370 0.960763i \(-0.589463\pi\)
0.970730 0.240173i \(-0.0772040\pi\)
\(402\) −12.3282 3.49684i −0.614877 0.174406i
\(403\) −40.4659 + 8.60130i −2.01575 + 0.428461i
\(404\) −6.84358 + 21.0624i −0.340481 + 1.04789i
\(405\) 0.239109 20.1232i 0.0118814 0.999929i
\(406\) −1.00395 3.08983i −0.0498250 0.153346i
\(407\) −5.36953 9.30029i −0.266158 0.460998i
\(408\) −5.80667 + 8.66222i −0.287473 + 0.428844i
\(409\) −5.32589 + 2.37124i −0.263348 + 0.117250i −0.534164 0.845381i \(-0.679373\pi\)
0.270815 + 0.962631i \(0.412707\pi\)
\(410\) −1.34284 + 0.204572i −0.0663182 + 0.0101031i
\(411\) −1.23924 4.91030i −0.0611273 0.242207i
\(412\) −0.957536 + 9.11034i −0.0471744 + 0.448834i
\(413\) −33.9672 24.6786i −1.67142 1.21436i
\(414\) 2.08283 + 5.07125i 0.102365 + 0.249238i
\(415\) −18.4115 + 27.9884i −0.903787 + 1.37390i
\(416\) −3.11479 + 29.6353i −0.152715 + 1.45299i
\(417\) 3.46823 + 7.05948i 0.169840 + 0.345704i
\(418\) 2.43266 4.21349i 0.118985 0.206089i
\(419\) 18.2995 + 3.88968i 0.893988 + 0.190023i 0.631927 0.775028i \(-0.282264\pi\)
0.262062 + 0.965051i \(0.415598\pi\)
\(420\) 3.87314 + 20.2532i 0.188990 + 0.988254i
\(421\) 36.0784 7.66869i 1.75835 0.373749i 0.788043 0.615620i \(-0.211095\pi\)
0.970308 + 0.241871i \(0.0777612\pi\)
\(422\) −1.66518 + 5.12491i −0.0810598 + 0.249477i
\(423\) 13.7715 17.8366i 0.669591 0.867244i
\(424\) 6.65749 0.323316
\(425\) 8.31453 + 11.7326i 0.403314 + 0.569115i
\(426\) 2.49893 6.23649i 0.121073 0.302159i
\(427\) 0.348369 + 3.31451i 0.0168588 + 0.160400i
\(428\) −13.2912 14.7614i −0.642456 0.713520i
\(429\) −16.9818 + 6.23608i −0.819889 + 0.301081i
\(430\) −2.34932 8.97934i −0.113294 0.433022i
\(431\) −11.1912 34.4429i −0.539060 1.65906i −0.734709 0.678383i \(-0.762681\pi\)
0.195648 0.980674i \(-0.437319\pi\)
\(432\) −9.13170 6.51529i −0.439349 0.313467i
\(433\) −11.0444 33.9911i −0.530758 1.63351i −0.752640 0.658433i \(-0.771220\pi\)
0.221881 0.975074i \(-0.428780\pi\)
\(434\) 1.42253 13.5345i 0.0682837 0.649676i
\(435\) 5.26113 4.54551i 0.252252 0.217940i
\(436\) −0.681439 6.48346i −0.0326350 0.310501i
\(437\) 13.1882 5.87178i 0.630879 0.280885i
\(438\) 0.179333 0.112776i 0.00856887 0.00538865i
\(439\) −13.7122 6.10506i −0.654447 0.291379i 0.0525255 0.998620i \(-0.483273\pi\)
−0.706973 + 0.707241i \(0.749940\pi\)
\(440\) −0.412765 8.87776i −0.0196778 0.423230i
\(441\) 1.66532 + 9.13773i 0.0793010 + 0.435130i
\(442\) 2.78473 + 8.57053i 0.132456 + 0.407659i
\(443\) 2.61065 + 4.52178i 0.124036 + 0.214836i 0.921356 0.388721i \(-0.127083\pi\)
−0.797320 + 0.603557i \(0.793750\pi\)
\(444\) −7.23875 14.7343i −0.343536 0.699257i
\(445\) −4.22704 + 4.17746i −0.200381 + 0.198031i
\(446\) 0.472694 + 0.524980i 0.0223827 + 0.0248585i
\(447\) −6.32329 + 36.4724i −0.299081 + 1.72509i
\(448\) 3.57808 + 1.59306i 0.169048 + 0.0752652i
\(449\) −7.57157 −0.357324 −0.178662 0.983910i \(-0.557177\pi\)
−0.178662 + 0.983910i \(0.557177\pi\)
\(450\) 7.11162 4.73437i 0.335245 0.223180i
\(451\) −2.02490 −0.0953486
\(452\) 31.9316 + 14.2169i 1.50193 + 0.668704i
\(453\) 27.6990 + 23.1072i 1.30141 + 1.08567i
\(454\) −9.22262 10.2428i −0.432839 0.480717i
\(455\) 34.7216 + 17.9503i 1.62778 + 0.841525i
\(456\) 9.08428 13.5517i 0.425410 0.634615i
\(457\) 17.7105 + 30.6754i 0.828461 + 1.43494i 0.899245 + 0.437445i \(0.144117\pi\)
−0.0707840 + 0.997492i \(0.522550\pi\)
\(458\) 0.658892 + 2.02786i 0.0307880 + 0.0947557i
\(459\) −14.6438 2.98120i −0.683514 0.139150i
\(460\) 6.60675 10.0433i 0.308041 0.468271i
\(461\) −13.0894 5.82776i −0.609633 0.271426i 0.0786113 0.996905i \(-0.474951\pi\)
−0.688244 + 0.725479i \(0.741618\pi\)
\(462\) −0.224744 5.94683i −0.0104560 0.276672i
\(463\) −11.2969 + 5.02972i −0.525013 + 0.233751i −0.652089 0.758142i \(-0.726107\pi\)
0.127076 + 0.991893i \(0.459441\pi\)
\(464\) −0.405107 3.85434i −0.0188066 0.178933i
\(465\) 27.8776 8.43070i 1.29279 0.390965i
\(466\) −0.531243 + 5.05444i −0.0246094 + 0.234142i
\(467\) −6.79392 20.9095i −0.314385 0.967578i −0.976007 0.217740i \(-0.930131\pi\)
0.661622 0.749838i \(-0.269869\pi\)
\(468\) −26.5390 + 7.77494i −1.22677 + 0.359397i
\(469\) 12.7545 + 39.2543i 0.588948 + 1.81260i
\(470\) 9.55014 + 0.557011i 0.440515 + 0.0256930i
\(471\) −3.61000 + 20.8223i −0.166340 + 0.959442i
\(472\) 18.5099 + 20.5573i 0.851988 + 0.946228i
\(473\) −1.44628 13.7605i −0.0665001 0.632707i
\(474\) −4.78595 + 0.686623i −0.219826 + 0.0315376i
\(475\) −13.0077 18.3551i −0.596835 0.842191i
\(476\) 15.3122 0.701833
\(477\) 3.62455 + 8.82501i 0.165957 + 0.404070i
\(478\) 1.14601 3.52705i 0.0524172 0.161324i
\(479\) 5.00389 1.06361i 0.228633 0.0485975i −0.0921702 0.995743i \(-0.529380\pi\)
0.320804 + 0.947146i \(0.396047\pi\)
\(480\) 0.429701 20.9738i 0.0196131 0.957317i
\(481\) −30.4385 6.46990i −1.38788 0.295002i
\(482\) −7.17998 + 12.4361i −0.327039 + 0.566448i
\(483\) 9.83219 14.6674i 0.447380 0.667388i
\(484\) −1.29532 + 12.3241i −0.0588780 + 0.560187i
\(485\) −28.2323 + 10.6467i −1.28196 + 0.483443i
\(486\) −2.02418 + 8.64473i −0.0918185 + 0.392133i
\(487\) −5.27361 3.83150i −0.238970 0.173622i 0.461854 0.886956i \(-0.347184\pi\)
−0.700824 + 0.713334i \(0.747184\pi\)
\(488\) 0.229525 2.18379i 0.0103901 0.0988554i
\(489\) 4.06078 + 1.15182i 0.183635 + 0.0520870i
\(490\) −2.80458 + 2.77168i −0.126698 + 0.125212i
\(491\) −14.1331 + 6.29244i −0.637816 + 0.283974i −0.700057 0.714087i \(-0.746842\pi\)
0.0622407 + 0.998061i \(0.480175\pi\)
\(492\) −3.08845 0.207067i −0.139238 0.00933531i
\(493\) −2.58150 4.47130i −0.116265 0.201377i
\(494\) −4.35659 13.4082i −0.196012 0.603264i
\(495\) 11.5434 5.38049i 0.518839 0.241835i
\(496\) 5.01669 15.4398i 0.225256 0.693267i
\(497\) −21.1668 + 4.49914i −0.949460 + 0.201814i
\(498\) 10.6024 10.2975i 0.475105 0.461443i
\(499\) 4.06654 7.04346i 0.182044 0.315309i −0.760533 0.649300i \(-0.775062\pi\)
0.942576 + 0.333991i \(0.108395\pi\)
\(500\) −17.3680 7.02204i −0.776719 0.314035i
\(501\) −7.33967 + 1.05300i −0.327912 + 0.0470444i
\(502\) 14.6759 + 6.53411i 0.655015 + 0.291632i
\(503\) −2.99913 + 9.23038i −0.133725 + 0.411562i −0.995389 0.0959155i \(-0.969422\pi\)
0.861665 + 0.507478i \(0.169422\pi\)
\(504\) 0.582048 19.9471i 0.0259265 0.888515i
\(505\) −18.4631 23.0770i −0.821596 1.02691i
\(506\) −2.32152 + 2.57831i −0.103204 + 0.114620i
\(507\) −11.1228 + 27.7589i −0.493983 + 1.23282i
\(508\) 16.9235 + 3.59719i 0.750857 + 0.159600i
\(509\) −24.7092 + 11.0012i −1.09522 + 0.487622i −0.873171 0.487415i \(-0.837940\pi\)
−0.222045 + 0.975036i \(0.571273\pi\)
\(510\) −2.46115 5.84732i −0.108981 0.258924i
\(511\) −0.623344 0.277531i −0.0275751 0.0122772i
\(512\) −16.7729 12.1862i −0.741265 0.538561i
\(513\) 22.9096 + 4.66395i 1.01148 + 0.205919i
\(514\) −12.5351 + 9.10730i −0.552901 + 0.401706i
\(515\) −9.45475 7.74909i −0.416626 0.341466i
\(516\) −0.798772 21.1359i −0.0351640 0.930455i
\(517\) 13.9492 + 2.96498i 0.613483 + 0.130400i
\(518\) 5.11836 8.86527i 0.224888 0.389517i
\(519\) 6.75194 + 0.452688i 0.296377 + 0.0198708i
\(520\) −19.9178 16.3246i −0.873452 0.715879i
\(521\) −9.60176 + 29.5512i −0.420661 + 1.29466i 0.486428 + 0.873721i \(0.338300\pi\)
−0.907088 + 0.420940i \(0.861700\pi\)
\(522\) −2.70007 + 1.45557i −0.118179 + 0.0637088i
\(523\) 14.8951 10.8219i 0.651315 0.473208i −0.212404 0.977182i \(-0.568129\pi\)
0.863719 + 0.503974i \(0.168129\pi\)
\(524\) −2.91154 5.04293i −0.127191 0.220301i
\(525\) −25.4206 10.5356i −1.10945 0.459812i
\(526\) −4.36871 + 7.56683i −0.190485 + 0.329929i
\(527\) −2.26067 21.5088i −0.0984763 0.936939i
\(528\) 1.21269 6.99475i 0.0527756 0.304407i
\(529\) 12.4278 2.64161i 0.540340 0.114853i
\(530\) −2.22585 + 3.38364i −0.0966846 + 0.146976i
\(531\) −17.1730 + 35.7284i −0.745243 + 1.55048i
\(532\) −23.9552 −1.03859
\(533\) −3.92615 + 4.36043i −0.170060 + 0.188871i
\(534\) 2.21952 1.39577i 0.0960479 0.0604010i
\(535\) 26.2051 3.99217i 1.13295 0.172596i
\(536\) −2.84254 27.0450i −0.122779 1.16816i
\(537\) 1.45323 + 38.4532i 0.0627116 + 1.65938i
\(538\) −1.04286 + 9.92211i −0.0449607 + 0.427772i
\(539\) −4.75543 + 3.45502i −0.204831 + 0.148818i
\(540\) 18.1567 7.02609i 0.781340 0.302355i
\(541\) 2.72761 + 1.98173i 0.117269 + 0.0852011i 0.644874 0.764289i \(-0.276910\pi\)
−0.527605 + 0.849490i \(0.676910\pi\)
\(542\) −2.84775 + 3.16275i −0.122321 + 0.135852i
\(543\) −24.8035 31.5601i −1.06442 1.35437i
\(544\) −15.2376 3.23885i −0.653306 0.138864i
\(545\) 7.72809 + 3.99526i 0.331035 + 0.171138i
\(546\) −13.2417 11.0466i −0.566693 0.472750i
\(547\) 24.5702 5.22256i 1.05055 0.223301i 0.349884 0.936793i \(-0.386221\pi\)
0.700663 + 0.713493i \(0.252888\pi\)
\(548\) 3.96355 2.87969i 0.169314 0.123014i
\(549\) 3.01974 0.884671i 0.128879 0.0377569i
\(550\) 4.65008 + 2.75838i 0.198280 + 0.117618i
\(551\) 4.03865 + 6.99514i 0.172052 + 0.298003i
\(552\) −8.34563 + 8.10567i −0.355214 + 0.345000i
\(553\) 10.4203 + 11.5729i 0.443116 + 0.492131i
\(554\) 2.13873 + 2.37530i 0.0908661 + 0.100917i
\(555\) 21.7360 + 2.73575i 0.922640 + 0.116126i
\(556\) −5.09147 + 5.65465i −0.215926 + 0.239811i
\(557\) −11.3371 −0.480368 −0.240184 0.970727i \(-0.577208\pi\)
−0.240184 + 0.970727i \(0.577208\pi\)
\(558\) −12.8124 + 0.969806i −0.542394 + 0.0410552i
\(559\) −32.4361 23.5662i −1.37190 0.996745i
\(560\) −12.9130 + 8.27793i −0.545675 + 0.349806i
\(561\) −2.31425 9.16985i −0.0977077 0.387151i
\(562\) 5.28814 2.35443i 0.223067 0.0993157i
\(563\) 36.9447 16.4488i 1.55703 0.693236i 0.565700 0.824611i \(-0.308606\pi\)
0.991333 + 0.131375i \(0.0419392\pi\)
\(564\) 20.9726 + 5.94876i 0.883105 + 0.250488i
\(565\) −39.2689 + 25.1734i −1.65205 + 1.05905i
\(566\) −5.46041 3.96722i −0.229518 0.166755i
\(567\) 26.7583 10.0883i 1.12374 0.423669i
\(568\) 14.2574 0.598229
\(569\) 0.647023 0.718591i 0.0271246 0.0301249i −0.729430 0.684056i \(-0.760215\pi\)
0.756554 + 0.653931i \(0.226881\pi\)
\(570\) 3.85035 + 9.14787i 0.161274 + 0.383162i
\(571\) −1.81559 2.01642i −0.0759801 0.0843844i 0.703956 0.710243i \(-0.251415\pi\)
−0.779936 + 0.625859i \(0.784749\pi\)
\(572\) −11.7105 13.0058i −0.489640 0.543800i
\(573\) 3.20991 + 12.7188i 0.134096 + 0.531334i
\(574\) −0.965090 1.67159i −0.0402821 0.0697706i
\(575\) 6.35174 + 14.7316i 0.264886 + 0.614349i
\(576\) 0.874029 3.59321i 0.0364179 0.149717i
\(577\) 13.0220 9.46105i 0.542114 0.393869i −0.282756 0.959192i \(-0.591249\pi\)
0.824870 + 0.565323i \(0.191249\pi\)
\(578\) 4.86281 1.03362i 0.202266 0.0429930i
\(579\) 3.40361 19.6319i 0.141449 0.815873i
\(580\) 5.97496 + 3.08893i 0.248097 + 0.128261i
\(581\) −46.5648 9.89764i −1.93183 0.410623i
\(582\) 13.1768 1.89043i 0.546197 0.0783608i
\(583\) −4.03993 + 4.48680i −0.167317 + 0.185824i
\(584\) 0.363702 + 0.264245i 0.0150501 + 0.0109345i
\(585\) 10.7956 35.2902i 0.446343 1.45907i
\(586\) −7.79514 + 5.66350i −0.322014 + 0.233957i
\(587\) 1.32848 12.6397i 0.0548323 0.521695i −0.932288 0.361716i \(-0.882191\pi\)
0.987121 0.159978i \(-0.0511424\pi\)
\(588\) −7.60648 + 4.78344i −0.313686 + 0.197266i
\(589\) 3.53672 + 33.6496i 0.145728 + 1.38651i
\(590\) −16.6367 + 2.53449i −0.684923 + 0.104343i
\(591\) −0.221440 5.85939i −0.00910880 0.241023i
\(592\) 8.17108 9.07490i 0.335829 0.372976i
\(593\) 43.6874 1.79403 0.897014 0.442003i \(-0.145732\pi\)
0.897014 + 0.442003i \(0.145732\pi\)
\(594\) −5.48572 + 1.21544i −0.225082 + 0.0498703i
\(595\) −11.2300 + 17.0714i −0.460385 + 0.699858i
\(596\) −35.0276 + 7.44535i −1.43479 + 0.304973i
\(597\) 26.7343 9.81740i 1.09416 0.401799i
\(598\) 1.05087 + 9.99837i 0.0429733 + 0.408864i
\(599\) −1.44797 + 2.50795i −0.0591624 + 0.102472i −0.894090 0.447888i \(-0.852176\pi\)
0.834927 + 0.550360i \(0.185510\pi\)
\(600\) 14.9393 + 10.2720i 0.609895 + 0.419352i
\(601\) −11.7991 20.4366i −0.481295 0.833627i 0.518475 0.855093i \(-0.326500\pi\)
−0.999770 + 0.0214662i \(0.993167\pi\)
\(602\) 10.6702 7.75233i 0.434884 0.315962i
\(603\) 34.3026 18.4922i 1.39691 0.753059i
\(604\) −10.7835 + 33.1883i −0.438776 + 1.35041i
\(605\) −12.7900 10.4827i −0.519987 0.426181i
\(606\) 5.74931 + 11.7025i 0.233550 + 0.475383i
\(607\) −13.9749 + 24.2052i −0.567224 + 0.982461i 0.429615 + 0.903012i \(0.358649\pi\)
−0.996839 + 0.0794485i \(0.974684\pi\)
\(608\) 23.8385 + 5.06703i 0.966779 + 0.205495i
\(609\) 8.73665 + 4.61327i 0.354027 + 0.186939i
\(610\) 1.03316 + 0.846777i 0.0418315 + 0.0342850i
\(611\) 33.4314 24.2893i 1.35249 0.982640i
\(612\) −2.59207 14.2229i −0.104778 0.574925i
\(613\) 13.2567 + 9.63154i 0.535432 + 0.389014i 0.822386 0.568930i \(-0.192643\pi\)
−0.286954 + 0.957944i \(0.592643\pi\)
\(614\) −0.794972 0.353944i −0.0320825 0.0142840i
\(615\) 2.49593 3.29141i 0.100646 0.132722i
\(616\) 11.5370 5.13661i 0.464840 0.206960i
\(617\) −5.88161 1.25017i −0.236785 0.0503301i 0.0879908 0.996121i \(-0.471955\pi\)
−0.324775 + 0.945791i \(0.605289\pi\)
\(618\) 3.33258 + 4.24038i 0.134056 + 0.170573i
\(619\) −16.3337 + 18.1404i −0.656508 + 0.729126i −0.975833 0.218519i \(-0.929877\pi\)
0.319325 + 0.947645i \(0.396544\pi\)
\(620\) 17.6018 + 22.0005i 0.706906 + 0.883563i
\(621\) −15.2883 6.64980i −0.613499 0.266847i
\(622\) −1.61080 + 4.95753i −0.0645872 + 0.198779i
\(623\) −7.71482 3.43486i −0.309088 0.137615i
\(624\) −12.7112 16.1738i −0.508856 0.647470i
\(625\) 20.5665 14.2133i 0.822660 0.568534i
\(626\) 0.101662 0.176084i 0.00406324 0.00703773i
\(627\) 3.62054 + 14.3458i 0.144590 + 0.572917i
\(628\) −19.9974 + 4.25059i −0.797985 + 0.169617i
\(629\) 5.02711 15.4719i 0.200444 0.616903i
\(630\) 9.94343 + 6.96489i 0.396156 + 0.277488i
\(631\) 9.64049 + 29.6704i 0.383782 + 1.18116i 0.937360 + 0.348362i \(0.113262\pi\)
−0.553578 + 0.832797i \(0.686738\pi\)
\(632\) −5.13015 8.88569i −0.204067 0.353454i
\(633\) −7.22583 14.7079i −0.287201 0.584588i
\(634\) 9.33368 4.15562i 0.370688 0.165041i
\(635\) −16.4222 + 16.2295i −0.651694 + 0.644050i
\(636\) −6.62068 + 6.43031i −0.262527 + 0.254978i
\(637\) −1.78041 + 16.9394i −0.0705423 + 0.671165i
\(638\) −1.57047 1.14101i −0.0621754 0.0451731i
\(639\) 7.76221 + 18.8993i 0.307068 + 0.747646i
\(640\) 24.1343 9.10131i 0.953992 0.359761i
\(641\) 0.262265 2.49529i 0.0103589 0.0985579i −0.988121 0.153679i \(-0.950888\pi\)
0.998480 + 0.0551211i \(0.0175545\pi\)
\(642\) −11.6683 0.782312i −0.460512 0.0308754i
\(643\) 7.75566 13.4332i 0.305854 0.529754i −0.671597 0.740916i \(-0.734392\pi\)
0.977451 + 0.211162i \(0.0677249\pi\)
\(644\) 16.7092 + 3.55165i 0.658434 + 0.139955i
\(645\) 24.1499 + 14.6106i 0.950903 + 0.575291i
\(646\) 7.20918 1.53236i 0.283641 0.0602899i
\(647\) −3.80099 + 11.6982i −0.149432 + 0.459905i −0.997554 0.0698957i \(-0.977733\pi\)
0.848122 + 0.529801i \(0.177733\pi\)
\(648\) −18.6266 + 2.83604i −0.731721 + 0.111410i
\(649\) −25.0869 −0.984745
\(650\) 14.9561 4.66520i 0.586628 0.182984i
\(651\) 25.5730 + 32.5391i 1.00228 + 1.27531i
\(652\) 0.426833 + 4.06104i 0.0167161 + 0.159043i
\(653\) −11.6984 12.9924i −0.457792 0.508430i 0.469415 0.882978i \(-0.344465\pi\)
−0.927208 + 0.374548i \(0.877798\pi\)
\(654\) −2.94725 2.45867i −0.115246 0.0961414i
\(655\) 7.75763 + 0.452463i 0.303116 + 0.0176792i
\(656\) −0.711521 2.18984i −0.0277802 0.0854987i
\(657\) −0.152266 + 0.625979i −0.00594047 + 0.0244218i
\(658\) 4.20069 + 12.9284i 0.163760 + 0.504002i
\(659\) −0.260923 + 2.48251i −0.0101641 + 0.0967050i −0.998428 0.0560523i \(-0.982149\pi\)
0.988264 + 0.152757i \(0.0488153\pi\)
\(660\) 8.98530 + 8.43000i 0.349752 + 0.328137i
\(661\) 0.585257 + 5.56835i 0.0227639 + 0.216584i 0.999990 + 0.00438491i \(0.00139577\pi\)
−0.977227 + 0.212199i \(0.931938\pi\)
\(662\) 6.79930 3.02724i 0.264262 0.117657i
\(663\) −24.2336 12.7962i −0.941155 0.496965i
\(664\) 28.6533 + 12.7573i 1.11196 + 0.495077i
\(665\) 17.5688 26.7074i 0.681290 1.03567i
\(666\) −9.10103 3.25351i −0.352658 0.126071i
\(667\) −1.77991 5.47801i −0.0689185 0.212109i
\(668\) −3.58658 6.21214i −0.138769 0.240355i
\(669\) −2.14347 0.143711i −0.0828714 0.00555617i
\(670\) 14.6958 + 7.59744i 0.567750 + 0.293515i
\(671\) 1.33248 + 1.47987i 0.0514397 + 0.0571296i
\(672\) 27.9827 10.2758i 1.07946 0.396399i
\(673\) 19.8035 + 8.81709i 0.763369 + 0.339874i 0.751220 0.660052i \(-0.229466\pi\)
0.0121495 + 0.999926i \(0.496133\pi\)
\(674\) 13.2928 0.512020
\(675\) −5.48287 + 25.3956i −0.211036 + 0.977478i
\(676\) −28.9298 −1.11269
\(677\) 4.07701 + 1.81520i 0.156692 + 0.0697638i 0.483584 0.875298i \(-0.339335\pi\)
−0.326892 + 0.945062i \(0.606001\pi\)
\(678\) 19.3174 7.09376i 0.741881 0.272434i
\(679\) −28.6895 31.8629i −1.10100 1.22279i
\(680\) 9.57578 9.46346i 0.367214 0.362907i
\(681\) 41.8207 + 2.80390i 1.60257 + 0.107446i
\(682\) −4.06575 7.04209i −0.155686 0.269656i
\(683\) 8.58695 + 26.4279i 0.328570 + 1.01124i 0.969803 + 0.243889i \(0.0784233\pi\)
−0.641233 + 0.767346i \(0.721577\pi\)
\(684\) 4.05518 + 22.2510i 0.155054 + 0.850789i
\(685\) 0.303648 + 6.53088i 0.0116018 + 0.249532i
\(686\) 6.45426 + 2.87362i 0.246425 + 0.109715i
\(687\) −5.73388 3.02770i −0.218761 0.115514i
\(688\) 14.3731 6.39933i 0.547970 0.243972i
\(689\) 1.82873 + 17.3992i 0.0696692 + 0.662858i
\(690\) −1.32941 6.95166i −0.0506097 0.264645i
\(691\) 3.51242 33.4184i 0.133619 1.27130i −0.698060 0.716039i \(-0.745953\pi\)
0.831679 0.555257i \(-0.187380\pi\)
\(692\) 2.02300 + 6.22614i 0.0769028 + 0.236682i
\(693\) 13.0901 + 12.4967i 0.497252 + 0.474710i
\(694\) 1.39952 + 4.30728i 0.0531251 + 0.163502i
\(695\) −2.57020 9.82355i −0.0974932 0.372628i
\(696\) −4.99847 4.16984i −0.189466 0.158058i
\(697\) −2.05250 2.27953i −0.0777441 0.0863435i
\(698\) 0.469715 + 4.46904i 0.0177790 + 0.169156i
\(699\) −9.55019 12.1517i −0.361221 0.459619i
\(700\) 0.314065 26.6187i 0.0118705 1.00609i
\(701\) 2.58517 0.0976406 0.0488203 0.998808i \(-0.484454\pi\)
0.0488203 + 0.998808i \(0.484454\pi\)
\(702\) −8.01913 + 14.1697i −0.302662 + 0.534800i
\(703\) −7.86469 + 24.2050i −0.296622 + 0.912910i
\(704\) 2.28912 0.486567i 0.0862743 0.0183382i
\(705\) −22.0135 + 19.0192i −0.829078 + 0.716306i
\(706\) −2.22158 0.472211i −0.0836102 0.0177719i
\(707\) 20.9979 36.3695i 0.789709 1.36782i
\(708\) −38.2634 2.56540i −1.43803 0.0964136i
\(709\) −4.81920 + 45.8516i −0.180989 + 1.72199i 0.407259 + 0.913313i \(0.366484\pi\)
−0.588248 + 0.808680i \(0.700182\pi\)
\(710\) −4.76679 + 7.24628i −0.178895 + 0.271948i
\(711\) 8.98564 11.6381i 0.336988 0.436462i
\(712\) 4.50136 + 3.27043i 0.168696 + 0.122565i
\(713\) 2.52203 23.9955i 0.0944508 0.898640i
\(714\) 6.46686 6.28091i 0.242016 0.235057i
\(715\) 23.0885 3.51737i 0.863461 0.131542i
\(716\) −34.0082 + 15.1414i −1.27094 + 0.565861i
\(717\) 4.97294 + 10.1223i 0.185718 + 0.378023i
\(718\) −1.53244 2.65426i −0.0571901 0.0990562i
\(719\) −3.94501 12.1415i −0.147124 0.452801i 0.850154 0.526534i \(-0.176509\pi\)
−0.997278 + 0.0737330i \(0.976509\pi\)
\(720\) 9.87497 + 10.5931i 0.368018 + 0.394781i
\(721\) 5.36795 16.5208i 0.199913 0.615268i
\(722\) −0.693300 + 0.147365i −0.0258019 + 0.00548437i
\(723\) −10.6860 42.3415i −0.397416 1.57470i
\(724\) 19.4161 33.6297i 0.721593 1.24984i
\(725\) −7.82585 + 4.39598i −0.290645 + 0.163263i
\(726\) 4.50818 + 5.73622i 0.167314 + 0.212891i
\(727\) −25.9153 11.5382i −0.961144 0.427929i −0.134661 0.990892i \(-0.542995\pi\)
−0.826482 + 0.562963i \(0.809661\pi\)
\(728\) 11.3083 34.8035i 0.419115 1.28990i
\(729\) −13.9003 23.1470i −0.514826 0.857295i
\(730\) −0.255901 + 0.0965030i −0.00947131 + 0.00357173i
\(731\) 14.0249 15.5762i 0.518729 0.576107i
\(732\) 1.88101 + 2.39341i 0.0695243 + 0.0884629i
\(733\) −24.6701 5.24380i −0.911212 0.193684i −0.271626 0.962403i \(-0.587561\pi\)
−0.639587 + 0.768719i \(0.720895\pi\)
\(734\) 5.99651 2.66982i 0.221335 0.0985448i
\(735\) 0.245616 11.9885i 0.00905968 0.442204i
\(736\) −15.8765 7.06868i −0.585216 0.260555i
\(737\) 19.9518 + 14.4958i 0.734934 + 0.533961i
\(738\) −1.38930 + 1.17940i −0.0511407 + 0.0434144i
\(739\) −35.4878 + 25.7834i −1.30544 + 0.948457i −0.999993 0.00375305i \(-0.998805\pi\)
−0.305445 + 0.952210i \(0.598805\pi\)
\(740\) 5.36442 + 20.5033i 0.197200 + 0.753717i
\(741\) 37.9124 + 20.0191i 1.39275 + 0.735421i
\(742\) −5.62940 1.19657i −0.206662 0.0439274i
\(743\) 13.2513 22.9519i 0.486143 0.842024i −0.513730 0.857952i \(-0.671737\pi\)
0.999873 + 0.0159278i \(0.00507018\pi\)
\(744\) −12.0234 24.4732i −0.440798 0.897231i
\(745\) 17.3886 44.5123i 0.637069 1.63080i
\(746\) −2.52919 + 7.78405i −0.0926003 + 0.284994i
\(747\) −1.31097 + 44.9276i −0.0479658 + 1.64381i
\(748\) 7.40182 5.37774i 0.270637 0.196629i
\(749\) 18.8334 + 32.6205i 0.688159 + 1.19193i
\(750\) −10.2155 + 4.15853i −0.373016 + 0.151848i
\(751\) 7.23895 12.5382i 0.264153 0.457527i −0.703188 0.711004i \(-0.748241\pi\)
0.967341 + 0.253477i \(0.0815742\pi\)
\(752\) 1.69504 + 16.1272i 0.0618118 + 0.588100i
\(753\) −45.8591 + 16.8404i −1.67120 + 0.613699i
\(754\) −5.50210 + 1.16951i −0.200375 + 0.0425910i
\(755\) −29.0926 36.3629i −1.05879 1.32338i
\(756\) 18.6876 + 20.3990i 0.679662 + 0.741905i
\(757\) 21.1038 0.767029 0.383515 0.923535i \(-0.374714\pi\)
0.383515 + 0.923535i \(0.374714\pi\)
\(758\) 2.92289 3.24620i 0.106164 0.117907i
\(759\) −0.398452 10.5432i −0.0144629 0.382695i
\(760\) −14.9809 + 14.8052i −0.543413 + 0.537040i
\(761\) 3.15080 + 29.9779i 0.114216 + 1.08670i 0.890083 + 0.455799i \(0.150647\pi\)
−0.775866 + 0.630898i \(0.782687\pi\)
\(762\) 8.62289 5.42262i 0.312374 0.196441i
\(763\) −1.29221 + 12.2945i −0.0467810 + 0.445092i
\(764\) −10.2665 + 7.45903i −0.371428 + 0.269858i
\(765\) 17.7579 + 7.54122i 0.642039 + 0.272653i
\(766\) 7.10122 + 5.15934i 0.256578 + 0.186415i
\(767\) −48.6418