Properties

Label 234.2.y.a.59.1
Level $234$
Weight $2$
Character 234.59
Analytic conductor $1.868$
Analytic rank $0$
Dimension $56$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [234,2,Mod(11,234)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(234, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([2, 7]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("234.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 234 = 2 \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 234.y (of order \(12\), degree \(4\), 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: \(1.86849940730\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 59.1
Character \(\chi\) \(=\) 234.59
Dual form 234.2.y.a.119.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.707107 + 0.707107i) q^{2} +(-1.36368 - 1.06788i) q^{3} -1.00000i q^{4} +(0.763001 + 2.84756i) q^{5} +(1.71938 - 0.209163i) q^{6} +(-0.504962 - 1.88454i) q^{7} +(0.707107 + 0.707107i) q^{8} +(0.719258 + 2.91250i) q^{9} +O(q^{10})\) \(q+(-0.707107 + 0.707107i) q^{2} +(-1.36368 - 1.06788i) q^{3} -1.00000i q^{4} +(0.763001 + 2.84756i) q^{5} +(1.71938 - 0.209163i) q^{6} +(-0.504962 - 1.88454i) q^{7} +(0.707107 + 0.707107i) q^{8} +(0.719258 + 2.91250i) q^{9} +(-2.55305 - 1.47400i) q^{10} +(-0.566782 - 0.566782i) q^{11} +(-1.06788 + 1.36368i) q^{12} +(2.11327 + 2.92131i) q^{13} +(1.68964 + 0.975511i) q^{14} +(2.00036 - 4.69796i) q^{15} -1.00000 q^{16} +(4.02058 + 6.96385i) q^{17} +(-2.56804 - 1.55086i) q^{18} +(-1.18319 + 4.41574i) q^{19} +(2.84756 - 0.763001i) q^{20} +(-1.32386 + 3.10916i) q^{21} +0.801550 q^{22} +(3.49688 + 6.05678i) q^{23} +(-0.209163 - 1.71938i) q^{24} +(-3.19629 + 1.84538i) q^{25} +(-3.55999 - 0.571370i) q^{26} +(2.12937 - 4.73981i) q^{27} +(-1.88454 + 0.504962i) q^{28} -7.87674i q^{29} +(1.90749 + 4.73643i) q^{30} +(-2.31031 + 0.619046i) q^{31} +(0.707107 - 0.707107i) q^{32} +(0.167654 + 1.37817i) q^{33} +(-7.76717 - 2.08121i) q^{34} +(4.98106 - 2.87582i) q^{35} +(2.91250 - 0.719258i) q^{36} +(-2.09658 - 7.82455i) q^{37} +(-2.28576 - 3.95904i) q^{38} +(0.237782 - 6.24047i) q^{39} +(-1.47400 + 2.55305i) q^{40} +(-5.00455 - 1.34097i) q^{41} +(-1.26239 - 3.13462i) q^{42} +(2.02114 + 1.16691i) q^{43} +(-0.566782 + 0.566782i) q^{44} +(-7.74472 + 4.27037i) q^{45} +(-6.75546 - 1.81012i) q^{46} +(-1.37959 + 5.14869i) q^{47} +(1.36368 + 1.06788i) q^{48} +(2.76566 - 1.59676i) q^{49} +(0.955238 - 3.56500i) q^{50} +(1.95377 - 13.7900i) q^{51} +(2.92131 - 2.11327i) q^{52} +8.27924i q^{53} +(1.84586 + 4.85724i) q^{54} +(1.18149 - 2.04640i) q^{55} +(0.975511 - 1.68964i) q^{56} +(6.32899 - 4.75815i) q^{57} +(5.56970 + 5.56970i) q^{58} +(-6.24226 - 6.24226i) q^{59} +(-4.69796 - 2.00036i) q^{60} +(2.46959 - 4.27745i) q^{61} +(1.19590 - 2.07137i) q^{62} +(5.12554 - 2.82617i) q^{63} +1.00000i q^{64} +(-6.70618 + 8.24664i) q^{65} +(-1.09306 - 0.855961i) q^{66} +(0.200953 - 0.749969i) q^{67} +(6.96385 - 4.02058i) q^{68} +(1.69929 - 11.9938i) q^{69} +(-1.48863 + 5.55565i) q^{70} +(2.57304 + 0.689443i) q^{71} +(-1.55086 + 2.56804i) q^{72} +(5.68293 - 5.68293i) q^{73} +(7.01530 + 4.05028i) q^{74} +(6.32937 + 0.896749i) q^{75} +(4.41574 + 1.18319i) q^{76} +(-0.781921 + 1.35433i) q^{77} +(4.24454 + 4.58082i) q^{78} +(0.554497 + 0.960416i) q^{79} +(-0.763001 - 2.84756i) q^{80} +(-7.96534 + 4.18968i) q^{81} +(4.48696 - 2.59055i) q^{82} +(2.29264 + 0.614312i) q^{83} +(3.10916 + 1.32386i) q^{84} +(-16.7623 + 16.7623i) q^{85} +(-2.25429 + 0.604036i) q^{86} +(-8.41143 + 10.7414i) q^{87} -0.801550i q^{88} +(2.84070 - 0.761164i) q^{89} +(2.45674 - 8.49595i) q^{90} +(4.43822 - 5.45771i) q^{91} +(6.05678 - 3.49688i) q^{92} +(3.81160 + 1.62296i) q^{93} +(-2.66516 - 4.61619i) q^{94} -13.4769 q^{95} +(-1.71938 + 0.209163i) q^{96} +(-3.54866 + 0.950861i) q^{97} +(-0.826542 + 3.08469i) q^{98} +(1.24309 - 2.05842i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 56 q + 4 q^{7} + 24 q^{15} - 56 q^{16} - 8 q^{19} + 36 q^{27} - 4 q^{28} + 8 q^{31} - 36 q^{33} + 24 q^{35} - 24 q^{36} - 4 q^{37} - 36 q^{38} - 24 q^{39} - 48 q^{41} + 36 q^{42} + 12 q^{43} - 36 q^{45} + 60 q^{47} - 24 q^{50} - 4 q^{52} + 24 q^{57} - 60 q^{63} - 120 q^{65} - 56 q^{67} - 36 q^{69} + 24 q^{71} + 28 q^{73} + 48 q^{74} + 4 q^{76} - 24 q^{77} + 36 q^{78} - 24 q^{79} - 120 q^{81} - 60 q^{83} + 24 q^{84} + 48 q^{86} + 48 q^{87} + 4 q^{91} - 24 q^{92} + 20 q^{97} - 48 q^{98} - 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).

\(n\) \(145\) \(209\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 + 0.707107i −0.500000 + 0.500000i
\(3\) −1.36368 1.06788i −0.787322 0.616542i
\(4\) 1.00000i 0.500000i
\(5\) 0.763001 + 2.84756i 0.341224 + 1.27347i 0.896962 + 0.442109i \(0.145769\pi\)
−0.555737 + 0.831358i \(0.687564\pi\)
\(6\) 1.71938 0.209163i 0.701932 0.0853903i
\(7\) −0.504962 1.88454i −0.190858 0.712290i −0.993300 0.115561i \(-0.963133\pi\)
0.802443 0.596729i \(-0.203533\pi\)
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 0.719258 + 2.91250i 0.239753 + 0.970834i
\(10\) −2.55305 1.47400i −0.807345 0.466121i
\(11\) −0.566782 0.566782i −0.170891 0.170891i 0.616480 0.787371i \(-0.288558\pi\)
−0.787371 + 0.616480i \(0.788558\pi\)
\(12\) −1.06788 + 1.36368i −0.308271 + 0.393661i
\(13\) 2.11327 + 2.92131i 0.586117 + 0.810226i
\(14\) 1.68964 + 0.975511i 0.451574 + 0.260716i
\(15\) 2.00036 4.69796i 0.516492 1.21301i
\(16\) −1.00000 −0.250000
\(17\) 4.02058 + 6.96385i 0.975135 + 1.68898i 0.679490 + 0.733685i \(0.262201\pi\)
0.295645 + 0.955298i \(0.404465\pi\)
\(18\) −2.56804 1.55086i −0.605293 0.365541i
\(19\) −1.18319 + 4.41574i −0.271443 + 1.01304i 0.686744 + 0.726899i \(0.259039\pi\)
−0.958188 + 0.286141i \(0.907627\pi\)
\(20\) 2.84756 0.763001i 0.636733 0.170612i
\(21\) −1.32386 + 3.10916i −0.288890 + 0.678474i
\(22\) 0.801550 0.170891
\(23\) 3.49688 + 6.05678i 0.729150 + 1.26293i 0.957243 + 0.289286i \(0.0934177\pi\)
−0.228093 + 0.973639i \(0.573249\pi\)
\(24\) −0.209163 1.71938i −0.0426951 0.350966i
\(25\) −3.19629 + 1.84538i −0.639258 + 0.369076i
\(26\) −3.55999 0.571370i −0.698172 0.112055i
\(27\) 2.12937 4.73981i 0.409797 0.912177i
\(28\) −1.88454 + 0.504962i −0.356145 + 0.0954288i
\(29\) 7.87674i 1.46267i −0.682016 0.731337i \(-0.738897\pi\)
0.682016 0.731337i \(-0.261103\pi\)
\(30\) 1.90749 + 4.73643i 0.348258 + 0.864750i
\(31\) −2.31031 + 0.619046i −0.414944 + 0.111184i −0.460250 0.887789i \(-0.652240\pi\)
0.0453062 + 0.998973i \(0.485574\pi\)
\(32\) 0.707107 0.707107i 0.125000 0.125000i
\(33\) 0.167654 + 1.37817i 0.0291849 + 0.239908i
\(34\) −7.76717 2.08121i −1.33206 0.356924i
\(35\) 4.98106 2.87582i 0.841953 0.486102i
\(36\) 2.91250 0.719258i 0.485417 0.119876i
\(37\) −2.09658 7.82455i −0.344676 1.28635i −0.892990 0.450076i \(-0.851397\pi\)
0.548314 0.836272i \(-0.315270\pi\)
\(38\) −2.28576 3.95904i −0.370798 0.642242i
\(39\) 0.237782 6.24047i 0.0380756 0.999275i
\(40\) −1.47400 + 2.55305i −0.233061 + 0.403673i
\(41\) −5.00455 1.34097i −0.781580 0.209424i −0.154099 0.988055i \(-0.549247\pi\)
−0.627481 + 0.778632i \(0.715914\pi\)
\(42\) −1.26239 3.13462i −0.194792 0.483682i
\(43\) 2.02114 + 1.16691i 0.308222 + 0.177952i 0.646130 0.763227i \(-0.276386\pi\)
−0.337909 + 0.941179i \(0.609720\pi\)
\(44\) −0.566782 + 0.566782i −0.0854456 + 0.0854456i
\(45\) −7.74472 + 4.27037i −1.15452 + 0.636589i
\(46\) −6.75546 1.81012i −0.996038 0.266887i
\(47\) −1.37959 + 5.14869i −0.201233 + 0.751013i 0.789331 + 0.613968i \(0.210427\pi\)
−0.990565 + 0.137046i \(0.956239\pi\)
\(48\) 1.36368 + 1.06788i 0.196831 + 0.154135i
\(49\) 2.76566 1.59676i 0.395095 0.228108i
\(50\) 0.955238 3.56500i 0.135091 0.504167i
\(51\) 1.95377 13.7900i 0.273583 1.93099i
\(52\) 2.92131 2.11327i 0.405113 0.293058i
\(53\) 8.27924i 1.13724i 0.822600 + 0.568620i \(0.192523\pi\)
−0.822600 + 0.568620i \(0.807477\pi\)
\(54\) 1.84586 + 4.85724i 0.251190 + 0.660987i
\(55\) 1.18149 2.04640i 0.159312 0.275936i
\(56\) 0.975511 1.68964i 0.130358 0.225787i
\(57\) 6.32899 4.75815i 0.838295 0.630233i
\(58\) 5.56970 + 5.56970i 0.731337 + 0.731337i
\(59\) −6.24226 6.24226i −0.812673 0.812673i 0.172361 0.985034i \(-0.444861\pi\)
−0.985034 + 0.172361i \(0.944861\pi\)
\(60\) −4.69796 2.00036i −0.606504 0.258246i
\(61\) 2.46959 4.27745i 0.316198 0.547671i −0.663493 0.748182i \(-0.730927\pi\)
0.979691 + 0.200511i \(0.0642603\pi\)
\(62\) 1.19590 2.07137i 0.151880 0.263064i
\(63\) 5.12554 2.82617i 0.645757 0.356065i
\(64\) 1.00000i 0.125000i
\(65\) −6.70618 + 8.24664i −0.831799 + 1.02287i
\(66\) −1.09306 0.855961i −0.134546 0.105362i
\(67\) 0.200953 0.749969i 0.0245504 0.0916232i −0.952564 0.304339i \(-0.901564\pi\)
0.977114 + 0.212716i \(0.0682310\pi\)
\(68\) 6.96385 4.02058i 0.844491 0.487567i
\(69\) 1.69929 11.9938i 0.204570 1.44388i
\(70\) −1.48863 + 5.55565i −0.177926 + 0.664027i
\(71\) 2.57304 + 0.689443i 0.305363 + 0.0818218i 0.408247 0.912872i \(-0.366140\pi\)
−0.102884 + 0.994693i \(0.532807\pi\)
\(72\) −1.55086 + 2.56804i −0.182770 + 0.302647i
\(73\) 5.68293 5.68293i 0.665137 0.665137i −0.291449 0.956586i \(-0.594137\pi\)
0.956586 + 0.291449i \(0.0941375\pi\)
\(74\) 7.01530 + 4.05028i 0.815512 + 0.470836i
\(75\) 6.32937 + 0.896749i 0.730852 + 0.103548i
\(76\) 4.41574 + 1.18319i 0.506520 + 0.135722i
\(77\) −0.781921 + 1.35433i −0.0891082 + 0.154340i
\(78\) 4.24454 + 4.58082i 0.480600 + 0.518675i
\(79\) 0.554497 + 0.960416i 0.0623857 + 0.108055i 0.895531 0.444998i \(-0.146796\pi\)
−0.833146 + 0.553054i \(0.813462\pi\)
\(80\) −0.763001 2.84756i −0.0853061 0.318367i
\(81\) −7.96534 + 4.18968i −0.885037 + 0.465520i
\(82\) 4.48696 2.59055i 0.495502 0.286078i
\(83\) 2.29264 + 0.614312i 0.251650 + 0.0674295i 0.382439 0.923981i \(-0.375084\pi\)
−0.130789 + 0.991410i \(0.541751\pi\)
\(84\) 3.10916 + 1.32386i 0.339237 + 0.144445i
\(85\) −16.7623 + 16.7623i −1.81812 + 1.81812i
\(86\) −2.25429 + 0.604036i −0.243087 + 0.0651349i
\(87\) −8.41143 + 10.7414i −0.901800 + 1.15160i
\(88\) 0.801550i 0.0854456i
\(89\) 2.84070 0.761164i 0.301114 0.0806832i −0.105099 0.994462i \(-0.533516\pi\)
0.406213 + 0.913779i \(0.366849\pi\)
\(90\) 2.45674 8.49595i 0.258963 0.895552i
\(91\) 4.43822 5.45771i 0.465252 0.572123i
\(92\) 6.05678 3.49688i 0.631463 0.364575i
\(93\) 3.81160 + 1.62296i 0.395244 + 0.168293i
\(94\) −2.66516 4.61619i −0.274890 0.476123i
\(95\) −13.4769 −1.38270
\(96\) −1.71938 + 0.209163i −0.175483 + 0.0213476i
\(97\) −3.54866 + 0.950861i −0.360312 + 0.0965453i −0.434433 0.900704i \(-0.643051\pi\)
0.0741216 + 0.997249i \(0.476385\pi\)
\(98\) −0.826542 + 3.08469i −0.0834933 + 0.311601i
\(99\) 1.24309 2.05842i 0.124935 0.206878i
\(100\) 1.84538 + 3.19629i 0.184538 + 0.319629i
\(101\) −13.6438 −1.35761 −0.678804 0.734319i \(-0.737502\pi\)
−0.678804 + 0.734319i \(0.737502\pi\)
\(102\) 8.36947 + 11.1325i 0.828701 + 1.10228i
\(103\) 11.6669 + 6.73592i 1.14958 + 0.663710i 0.948785 0.315924i \(-0.102314\pi\)
0.200794 + 0.979633i \(0.435648\pi\)
\(104\) −0.571370 + 3.55999i −0.0560274 + 0.349086i
\(105\) −9.86361 1.39748i −0.962590 0.136380i
\(106\) −5.85430 5.85430i −0.568620 0.568620i
\(107\) −16.0522 9.26775i −1.55183 0.895947i −0.997993 0.0633192i \(-0.979831\pi\)
−0.553833 0.832628i \(-0.686835\pi\)
\(108\) −4.73981 2.12937i −0.456088 0.204899i
\(109\) 4.23071 + 4.23071i 0.405229 + 0.405229i 0.880071 0.474842i \(-0.157495\pi\)
−0.474842 + 0.880071i \(0.657495\pi\)
\(110\) 0.611584 + 2.28246i 0.0583122 + 0.217624i
\(111\) −5.49662 + 12.9091i −0.521716 + 1.22528i
\(112\) 0.504962 + 1.88454i 0.0477144 + 0.178073i
\(113\) 5.97917i 0.562473i −0.959639 0.281236i \(-0.909256\pi\)
0.959639 0.281236i \(-0.0907445\pi\)
\(114\) −1.11075 + 7.83979i −0.104031 + 0.734264i
\(115\) −14.5789 + 14.5789i −1.35949 + 1.35949i
\(116\) −7.87674 −0.731337
\(117\) −6.98834 + 8.25609i −0.646072 + 0.763276i
\(118\) 8.82789 0.812673
\(119\) 11.0934 11.0934i 1.01693 1.01693i
\(120\) 4.73643 1.90749i 0.432375 0.174129i
\(121\) 10.3575i 0.941592i
\(122\) 1.27835 + 4.77087i 0.115737 + 0.431935i
\(123\) 5.39263 + 7.17292i 0.486237 + 0.646760i
\(124\) 0.619046 + 2.31031i 0.0555920 + 0.207472i
\(125\) 2.72919 + 2.72919i 0.244106 + 0.244106i
\(126\) −1.62590 + 5.62271i −0.144846 + 0.500911i
\(127\) 1.93815 + 1.11899i 0.171983 + 0.0992946i 0.583521 0.812098i \(-0.301675\pi\)
−0.411537 + 0.911393i \(0.635008\pi\)
\(128\) −0.707107 0.707107i −0.0625000 0.0625000i
\(129\) −1.51008 3.74963i −0.132955 0.330137i
\(130\) −1.08927 10.5732i −0.0955352 0.927334i
\(131\) 7.37842 + 4.25993i 0.644656 + 0.372192i 0.786406 0.617710i \(-0.211940\pi\)
−0.141750 + 0.989903i \(0.545273\pi\)
\(132\) 1.37817 0.167654i 0.119954 0.0145924i
\(133\) 8.91912 0.773386
\(134\) 0.388212 + 0.672403i 0.0335364 + 0.0580868i
\(135\) 15.1216 + 2.44702i 1.30146 + 0.210606i
\(136\) −2.08121 + 7.76717i −0.178462 + 0.666029i
\(137\) 11.2268 3.00821i 0.959170 0.257009i 0.254921 0.966962i \(-0.417951\pi\)
0.704249 + 0.709953i \(0.251284\pi\)
\(138\) 7.27930 + 9.68245i 0.619655 + 0.824225i
\(139\) 22.8286 1.93629 0.968147 0.250381i \(-0.0805558\pi\)
0.968147 + 0.250381i \(0.0805558\pi\)
\(140\) −2.87582 4.98106i −0.243051 0.420976i
\(141\) 7.37951 5.54794i 0.621467 0.467221i
\(142\) −2.30692 + 1.33190i −0.193593 + 0.111771i
\(143\) 0.457981 2.85351i 0.0382983 0.238623i
\(144\) −0.719258 2.91250i −0.0599381 0.242709i
\(145\) 22.4295 6.00996i 1.86267 0.499100i
\(146\) 8.03688i 0.665137i
\(147\) −5.47663 0.775932i −0.451705 0.0639978i
\(148\) −7.82455 + 2.09658i −0.643174 + 0.172338i
\(149\) −5.50303 + 5.50303i −0.450826 + 0.450826i −0.895629 0.444803i \(-0.853274\pi\)
0.444803 + 0.895629i \(0.353274\pi\)
\(150\) −5.10964 + 3.84144i −0.417200 + 0.313652i
\(151\) −7.67704 2.05706i −0.624748 0.167401i −0.0674629 0.997722i \(-0.521490\pi\)
−0.557285 + 0.830321i \(0.688157\pi\)
\(152\) −3.95904 + 2.28576i −0.321121 + 0.185399i
\(153\) −17.3904 + 16.7188i −1.40593 + 1.35163i
\(154\) −0.404752 1.51056i −0.0326159 0.121724i
\(155\) −3.52554 6.10641i −0.283178 0.490479i
\(156\) −6.24047 0.237782i −0.499637 0.0190378i
\(157\) 1.97021 3.41251i 0.157240 0.272348i −0.776632 0.629954i \(-0.783074\pi\)
0.933872 + 0.357606i \(0.116407\pi\)
\(158\) −1.07121 0.287029i −0.0852205 0.0228348i
\(159\) 8.84124 11.2902i 0.701156 0.895375i
\(160\) 2.55305 + 1.47400i 0.201836 + 0.116530i
\(161\) 9.64846 9.64846i 0.760405 0.760405i
\(162\) 2.66979 8.59489i 0.209759 0.675279i
\(163\) −19.9290 5.33996i −1.56096 0.418258i −0.627992 0.778220i \(-0.716123\pi\)
−0.932967 + 0.359962i \(0.882790\pi\)
\(164\) −1.34097 + 5.00455i −0.104712 + 0.390790i
\(165\) −3.79649 + 1.52895i −0.295556 + 0.119028i
\(166\) −2.05553 + 1.18676i −0.159540 + 0.0921103i
\(167\) 1.46059 5.45101i 0.113024 0.421811i −0.886107 0.463480i \(-0.846601\pi\)
0.999131 + 0.0416684i \(0.0132673\pi\)
\(168\) −3.13462 + 1.26239i −0.241841 + 0.0973959i
\(169\) −4.06814 + 12.3471i −0.312934 + 0.949775i
\(170\) 23.7054i 1.81812i
\(171\) −13.7119 0.270000i −1.04857 0.0206474i
\(172\) 1.16691 2.02114i 0.0889759 0.154111i
\(173\) −8.21647 + 14.2313i −0.624687 + 1.08199i 0.363915 + 0.931432i \(0.381440\pi\)
−0.988601 + 0.150557i \(0.951893\pi\)
\(174\) −1.64752 13.5431i −0.124898 1.02670i
\(175\) 5.09170 + 5.09170i 0.384896 + 0.384896i
\(176\) 0.566782 + 0.566782i 0.0427228 + 0.0427228i
\(177\) 1.84646 + 15.1785i 0.138789 + 1.14088i
\(178\) −1.47046 + 2.54690i −0.110215 + 0.190898i
\(179\) 3.02863 5.24575i 0.226371 0.392085i −0.730359 0.683063i \(-0.760647\pi\)
0.956730 + 0.290978i \(0.0939806\pi\)
\(180\) 4.27037 + 7.74472i 0.318295 + 0.577258i
\(181\) 12.2487i 0.910436i −0.890380 0.455218i \(-0.849561\pi\)
0.890380 0.455218i \(-0.150439\pi\)
\(182\) 0.720889 + 6.99748i 0.0534358 + 0.518687i
\(183\) −7.93554 + 3.19585i −0.586612 + 0.236244i
\(184\) −1.81012 + 6.75546i −0.133444 + 0.498019i
\(185\) 20.6812 11.9403i 1.52051 0.877867i
\(186\) −3.84281 + 1.54760i −0.281769 + 0.113476i
\(187\) 1.66819 6.22578i 0.121990 0.455274i
\(188\) 5.14869 + 1.37959i 0.375507 + 0.100617i
\(189\) −10.0076 1.61946i −0.727948 0.117799i
\(190\) 9.52957 9.52957i 0.691348 0.691348i
\(191\) −0.364345 0.210355i −0.0263631 0.0152207i 0.486761 0.873535i \(-0.338178\pi\)
−0.513124 + 0.858315i \(0.671512\pi\)
\(192\) 1.06788 1.36368i 0.0770677 0.0984153i
\(193\) 13.1262 + 3.51716i 0.944847 + 0.253171i 0.698174 0.715928i \(-0.253996\pi\)
0.246673 + 0.969099i \(0.420663\pi\)
\(194\) 1.83692 3.18164i 0.131883 0.228429i
\(195\) 17.9515 4.08439i 1.28554 0.292489i
\(196\) −1.59676 2.76566i −0.114054 0.197547i
\(197\) −0.239457 0.893667i −0.0170606 0.0636712i 0.956871 0.290514i \(-0.0938263\pi\)
−0.973931 + 0.226843i \(0.927160\pi\)
\(198\) 0.576521 + 2.33452i 0.0409716 + 0.165907i
\(199\) 11.1074 6.41286i 0.787382 0.454595i −0.0516579 0.998665i \(-0.516451\pi\)
0.839040 + 0.544070i \(0.183117\pi\)
\(200\) −3.56500 0.955238i −0.252083 0.0675455i
\(201\) −1.07491 + 0.808124i −0.0758186 + 0.0570007i
\(202\) 9.64762 9.64762i 0.678804 0.678804i
\(203\) −14.8441 + 3.97745i −1.04185 + 0.279162i
\(204\) −13.7900 1.95377i −0.965493 0.136792i
\(205\) 15.2739i 1.06678i
\(206\) −13.0128 + 3.48677i −0.906644 + 0.242935i
\(207\) −15.1252 + 14.5411i −1.05127 + 1.01067i
\(208\) −2.11327 2.92131i −0.146529 0.202557i
\(209\) 3.17337 1.83215i 0.219507 0.126732i
\(210\) 7.96280 5.98646i 0.549485 0.413105i
\(211\) −3.42303 5.92886i −0.235651 0.408159i 0.723811 0.689999i \(-0.242389\pi\)
−0.959462 + 0.281839i \(0.909056\pi\)
\(212\) 8.27924 0.568620
\(213\) −2.77256 3.68788i −0.189973 0.252689i
\(214\) 17.9039 4.79734i 1.22389 0.327939i
\(215\) −1.78070 + 6.64568i −0.121443 + 0.453231i
\(216\) 4.85724 1.84586i 0.330493 0.125595i
\(217\) 2.33324 + 4.04129i 0.158390 + 0.274340i
\(218\) −5.98313 −0.405229
\(219\) −13.8184 + 1.68101i −0.933762 + 0.113592i
\(220\) −2.04640 1.18149i −0.137968 0.0796560i
\(221\) −11.8470 + 26.4619i −0.796916 + 1.78002i
\(222\) −5.24141 13.0148i −0.351781 0.873497i
\(223\) 12.5100 + 12.5100i 0.837733 + 0.837733i 0.988560 0.150827i \(-0.0481937\pi\)
−0.150827 + 0.988560i \(0.548194\pi\)
\(224\) −1.68964 0.975511i −0.112893 0.0651791i
\(225\) −7.67362 7.98190i −0.511575 0.532126i
\(226\) 4.22791 + 4.22791i 0.281236 + 0.281236i
\(227\) −5.01242 18.7066i −0.332686 1.24160i −0.906356 0.422515i \(-0.861147\pi\)
0.573669 0.819087i \(-0.305519\pi\)
\(228\) −4.75815 6.32899i −0.315116 0.419147i
\(229\) −6.72179 25.0861i −0.444188 1.65773i −0.718070 0.695971i \(-0.754974\pi\)
0.273882 0.961763i \(-0.411692\pi\)
\(230\) 20.6177i 1.35949i
\(231\) 2.51255 1.01187i 0.165314 0.0665763i
\(232\) 5.56970 5.56970i 0.365669 0.365669i
\(233\) 11.9090 0.780184 0.390092 0.920776i \(-0.372443\pi\)
0.390092 + 0.920776i \(0.372443\pi\)
\(234\) −0.896436 10.7794i −0.0586019 0.704674i
\(235\) −15.7138 −1.02506
\(236\) −6.24226 + 6.24226i −0.406337 + 0.406337i
\(237\) 0.269454 1.90184i 0.0175029 0.123538i
\(238\) 15.6885i 1.01693i
\(239\) 2.40211 + 8.96480i 0.155380 + 0.579885i 0.999073 + 0.0430587i \(0.0137102\pi\)
−0.843693 + 0.536826i \(0.819623\pi\)
\(240\) −2.00036 + 4.69796i −0.129123 + 0.303252i
\(241\) −2.53446 9.45875i −0.163259 0.609292i −0.998256 0.0590365i \(-0.981197\pi\)
0.834997 0.550255i \(-0.185470\pi\)
\(242\) 7.32387 + 7.32387i 0.470796 + 0.470796i
\(243\) 15.3363 + 2.79265i 0.983822 + 0.179148i
\(244\) −4.27745 2.46959i −0.273836 0.158099i
\(245\) 6.65706 + 6.65706i 0.425304 + 0.425304i
\(246\) −8.88518 1.25886i −0.566499 0.0802619i
\(247\) −15.4002 + 5.87519i −0.979890 + 0.373829i
\(248\) −2.07137 1.19590i −0.131532 0.0759400i
\(249\) −2.47042 3.28600i −0.156557 0.208242i
\(250\) −3.85966 −0.244106
\(251\) −7.05445 12.2187i −0.445273 0.771235i 0.552798 0.833315i \(-0.313560\pi\)
−0.998071 + 0.0620799i \(0.980227\pi\)
\(252\) −2.82617 5.12554i −0.178032 0.322879i
\(253\) 1.45090 5.41484i 0.0912174 0.340428i
\(254\) −2.16173 + 0.579234i −0.135639 + 0.0363444i
\(255\) 40.7585 4.95829i 2.55240 0.310500i
\(256\) 1.00000 0.0625000
\(257\) −2.55988 4.43384i −0.159681 0.276575i 0.775073 0.631872i \(-0.217713\pi\)
−0.934754 + 0.355297i \(0.884380\pi\)
\(258\) 3.71918 + 1.58361i 0.231546 + 0.0985910i
\(259\) −13.6870 + 7.90220i −0.850469 + 0.491019i
\(260\) 8.24664 + 6.70618i 0.511435 + 0.415900i
\(261\) 22.9410 5.66541i 1.42001 0.350680i
\(262\) −8.22956 + 2.20510i −0.508424 + 0.136232i
\(263\) 14.4227i 0.889343i −0.895694 0.444671i \(-0.853320\pi\)
0.895694 0.444671i \(-0.146680\pi\)
\(264\) −0.855961 + 1.09306i −0.0526808 + 0.0672732i
\(265\) −23.5756 + 6.31706i −1.44824 + 0.388054i
\(266\) −6.30677 + 6.30677i −0.386693 + 0.386693i
\(267\) −4.68665 1.99555i −0.286818 0.122126i
\(268\) −0.749969 0.200953i −0.0458116 0.0122752i
\(269\) 10.3656 5.98459i 0.632002 0.364887i −0.149525 0.988758i \(-0.547774\pi\)
0.781527 + 0.623871i \(0.214441\pi\)
\(270\) −12.4229 + 8.96227i −0.756033 + 0.545427i
\(271\) 6.16812 + 23.0197i 0.374687 + 1.39835i 0.853802 + 0.520598i \(0.174291\pi\)
−0.479115 + 0.877752i \(0.659042\pi\)
\(272\) −4.02058 6.96385i −0.243784 0.422246i
\(273\) −11.8805 + 2.70309i −0.719041 + 0.163598i
\(274\) −5.81141 + 10.0657i −0.351080 + 0.608089i
\(275\) 2.85752 + 0.765671i 0.172315 + 0.0461717i
\(276\) −11.9938 1.69929i −0.721940 0.102285i
\(277\) −8.17883 4.72205i −0.491419 0.283721i 0.233744 0.972298i \(-0.424902\pi\)
−0.725163 + 0.688577i \(0.758235\pi\)
\(278\) −16.1422 + 16.1422i −0.968147 + 0.968147i
\(279\) −3.46468 6.28353i −0.207425 0.376185i
\(280\) 5.55565 + 1.48863i 0.332014 + 0.0889628i
\(281\) 5.04768 18.8382i 0.301119 1.12379i −0.635115 0.772417i \(-0.719047\pi\)
0.936235 0.351376i \(-0.114286\pi\)
\(282\) −1.29511 + 9.14109i −0.0771230 + 0.544344i
\(283\) 17.9472 10.3618i 1.06685 0.615946i 0.139530 0.990218i \(-0.455441\pi\)
0.927319 + 0.374272i \(0.122107\pi\)
\(284\) 0.689443 2.57304i 0.0409109 0.152682i
\(285\) 18.3781 + 14.3917i 1.08863 + 0.852490i
\(286\) 1.69390 + 2.34158i 0.100162 + 0.138461i
\(287\) 10.1084i 0.596682i
\(288\) 2.56804 + 1.55086i 0.151323 + 0.0913852i
\(289\) −23.8302 + 41.2751i −1.40178 + 2.42795i
\(290\) −11.6104 + 20.1097i −0.681783 + 1.18088i
\(291\) 5.85465 + 2.49288i 0.343206 + 0.146135i
\(292\) −5.68293 5.68293i −0.332568 0.332568i
\(293\) 13.6517 + 13.6517i 0.797542 + 0.797542i 0.982707 0.185165i \(-0.0592820\pi\)
−0.185165 + 0.982707i \(0.559282\pi\)
\(294\) 4.42123 3.32389i 0.257851 0.193853i
\(295\) 13.0123 22.5380i 0.757608 1.31222i
\(296\) 4.05028 7.01530i 0.235418 0.407756i
\(297\) −3.89332 + 1.47955i −0.225914 + 0.0858522i
\(298\) 7.78247i 0.450826i
\(299\) −10.3039 + 23.0151i −0.595888 + 1.33100i
\(300\) 0.896749 6.32937i 0.0517738 0.365426i
\(301\) 1.17849 4.39818i 0.0679269 0.253507i
\(302\) 6.88304 3.97393i 0.396075 0.228674i
\(303\) 18.6058 + 14.5700i 1.06888 + 0.837023i
\(304\) 1.18319 4.41574i 0.0678608 0.253260i
\(305\) 14.0646 + 3.76859i 0.805335 + 0.215789i
\(306\) 0.474922 24.1188i 0.0271495 1.37878i
\(307\) −15.5762 + 15.5762i −0.888978 + 0.888978i −0.994425 0.105447i \(-0.966373\pi\)
0.105447 + 0.994425i \(0.466373\pi\)
\(308\) 1.35433 + 0.781921i 0.0771700 + 0.0445541i
\(309\) −8.71685 21.6446i −0.495884 1.23132i
\(310\) 6.81082 + 1.82495i 0.386828 + 0.103650i
\(311\) 4.85889 8.41584i 0.275522 0.477218i −0.694745 0.719257i \(-0.744483\pi\)
0.970267 + 0.242038i \(0.0778159\pi\)
\(312\) 4.58082 4.24454i 0.259338 0.240300i
\(313\) 2.74916 + 4.76168i 0.155392 + 0.269146i 0.933202 0.359353i \(-0.117003\pi\)
−0.777810 + 0.628500i \(0.783669\pi\)
\(314\) 1.01986 + 3.80616i 0.0575539 + 0.214794i
\(315\) 11.9585 + 12.4389i 0.673784 + 0.700852i
\(316\) 0.960416 0.554497i 0.0540276 0.0311929i
\(317\) 1.01082 + 0.270848i 0.0567731 + 0.0152123i 0.287094 0.957902i \(-0.407311\pi\)
−0.230321 + 0.973115i \(0.573978\pi\)
\(318\) 1.73171 + 14.2351i 0.0971093 + 0.798266i
\(319\) −4.46439 + 4.46439i −0.249958 + 0.249958i
\(320\) −2.84756 + 0.763001i −0.159183 + 0.0426530i
\(321\) 11.9933 + 29.7801i 0.669398 + 1.66216i
\(322\) 13.6450i 0.760405i
\(323\) −35.5077 + 9.51426i −1.97570 + 0.529388i
\(324\) 4.18968 + 7.96534i 0.232760 + 0.442519i
\(325\) −12.1456 5.43757i −0.673715 0.301622i
\(326\) 17.8678 10.3160i 0.989609 0.571351i
\(327\) −1.25145 10.2872i −0.0692051 0.568886i
\(328\) −2.59055 4.48696i −0.143039 0.247751i
\(329\) 10.3996 0.573346
\(330\) 1.60339 3.76565i 0.0882639 0.207292i
\(331\) 11.9246 3.19520i 0.655438 0.175624i 0.0842515 0.996445i \(-0.473150\pi\)
0.571186 + 0.820821i \(0.306483\pi\)
\(332\) 0.614312 2.29264i 0.0337147 0.125825i
\(333\) 21.2810 11.7342i 1.16619 0.643028i
\(334\) 2.82165 + 4.88724i 0.154394 + 0.267418i
\(335\) 2.28891 0.125056
\(336\) 1.32386 3.10916i 0.0722226 0.169618i
\(337\) −18.3428 10.5902i −0.999195 0.576886i −0.0911852 0.995834i \(-0.529066\pi\)
−0.908010 + 0.418948i \(0.862399\pi\)
\(338\) −5.85409 11.6073i −0.318420 0.631354i
\(339\) −6.38504 + 8.15368i −0.346788 + 0.442847i
\(340\) 16.7623 + 16.7623i 0.909062 + 0.909062i
\(341\) 1.66031 + 0.958578i 0.0899106 + 0.0519099i
\(342\) 9.88668 9.50484i 0.534610 0.513963i
\(343\) −14.0628 14.0628i −0.759319 0.759319i
\(344\) 0.604036 + 2.25429i 0.0325674 + 0.121543i
\(345\) 35.4495 4.31244i 1.90854 0.232174i
\(346\) −4.25316 15.8730i −0.228651 0.853338i
\(347\) 2.51714i 0.135127i −0.997715 0.0675636i \(-0.978477\pi\)
0.997715 0.0675636i \(-0.0215226\pi\)
\(348\) 10.7414 + 8.41143i 0.575798 + 0.450900i
\(349\) −12.5807 + 12.5807i −0.673429 + 0.673429i −0.958505 0.285076i \(-0.907981\pi\)
0.285076 + 0.958505i \(0.407981\pi\)
\(350\) −7.20075 −0.384896
\(351\) 18.3464 3.79597i 0.979259 0.202614i
\(352\) −0.801550 −0.0427228
\(353\) −2.20712 + 2.20712i −0.117473 + 0.117473i −0.763400 0.645927i \(-0.776471\pi\)
0.645927 + 0.763400i \(0.276471\pi\)
\(354\) −12.0384 9.42714i −0.639836 0.501047i
\(355\) 7.85291i 0.416789i
\(356\) −0.761164 2.84070i −0.0403416 0.150557i
\(357\) −26.9744 + 3.28145i −1.42764 + 0.173673i
\(358\) 1.56774 + 5.85087i 0.0828574 + 0.309228i
\(359\) −14.3618 14.3618i −0.757986 0.757986i 0.217970 0.975956i \(-0.430057\pi\)
−0.975956 + 0.217970i \(0.930057\pi\)
\(360\) −8.49595 2.45674i −0.447776 0.129482i
\(361\) −1.64433 0.949354i −0.0865436 0.0499660i
\(362\) 8.66111 + 8.66111i 0.455218 + 0.455218i
\(363\) −11.0606 + 14.1244i −0.580531 + 0.741337i
\(364\) −5.45771 4.43822i −0.286062 0.232626i
\(365\) 20.5186 + 11.8464i 1.07399 + 0.620069i
\(366\) 3.35146 7.87108i 0.175184 0.411428i
\(367\) 23.2205 1.21210 0.606049 0.795427i \(-0.292753\pi\)
0.606049 + 0.795427i \(0.292753\pi\)
\(368\) −3.49688 6.05678i −0.182288 0.315731i
\(369\) 0.306002 15.5403i 0.0159298 0.808994i
\(370\) −6.18074 + 23.0668i −0.321321 + 1.19919i
\(371\) 15.6026 4.18070i 0.810045 0.217051i
\(372\) 1.62296 3.81160i 0.0841464 0.197622i
\(373\) 25.3140 1.31071 0.655355 0.755321i \(-0.272519\pi\)
0.655355 + 0.755321i \(0.272519\pi\)
\(374\) 3.22270 + 5.58188i 0.166642 + 0.288632i
\(375\) −0.807297 6.63621i −0.0416886 0.342692i
\(376\) −4.61619 + 2.66516i −0.238062 + 0.137445i
\(377\) 23.0104 16.6457i 1.18510 0.857298i
\(378\) 8.22159 5.93132i 0.422873 0.305074i
\(379\) −22.2862 + 5.97156i −1.14476 + 0.306738i −0.780865 0.624700i \(-0.785221\pi\)
−0.363898 + 0.931439i \(0.618554\pi\)
\(380\) 13.4769i 0.691348i
\(381\) −1.44807 3.59567i −0.0741870 0.184212i
\(382\) 0.406374 0.108888i 0.0207919 0.00557117i
\(383\) 16.8662 16.8662i 0.861821 0.861821i −0.129729 0.991550i \(-0.541411\pi\)
0.991550 + 0.129729i \(0.0414106\pi\)
\(384\) 0.209163 + 1.71938i 0.0106738 + 0.0877415i
\(385\) −4.45313 1.19321i −0.226953 0.0608118i
\(386\) −11.7687 + 6.79464i −0.599009 + 0.345838i
\(387\) −1.94490 + 6.72589i −0.0988648 + 0.341896i
\(388\) 0.950861 + 3.54866i 0.0482726 + 0.180156i
\(389\) 12.4984 + 21.6479i 0.633694 + 1.09759i 0.986790 + 0.162004i \(0.0517957\pi\)
−0.353096 + 0.935587i \(0.614871\pi\)
\(390\) −9.80555 + 15.5817i −0.496523 + 0.789012i
\(391\) −28.1190 + 48.7035i −1.42204 + 2.46304i
\(392\) 3.08469 + 0.826542i 0.155801 + 0.0417467i
\(393\) −5.51272 13.6885i −0.278080 0.690492i
\(394\) 0.801240 + 0.462596i 0.0403659 + 0.0233053i
\(395\) −2.31176 + 2.31176i −0.116317 + 0.116317i
\(396\) −2.05842 1.24309i −0.103439 0.0624677i
\(397\) 20.3908 + 5.46370i 1.02338 + 0.274215i 0.731212 0.682150i \(-0.238955\pi\)
0.292173 + 0.956366i \(0.405622\pi\)
\(398\) −3.31954 + 12.3887i −0.166393 + 0.620989i
\(399\) −12.1628 9.52456i −0.608904 0.476825i
\(400\) 3.19629 1.84538i 0.159814 0.0922689i
\(401\) 4.57548 17.0759i 0.228488 0.852730i −0.752488 0.658606i \(-0.771147\pi\)
0.980977 0.194125i \(-0.0621867\pi\)
\(402\) 0.188649 1.33151i 0.00940896 0.0664096i
\(403\) −6.69075 5.44093i −0.333290 0.271032i
\(404\) 13.6438i 0.678804i
\(405\) −18.0079 19.4850i −0.894820 0.968219i
\(406\) 7.68385 13.3088i 0.381343 0.660506i
\(407\) −3.24651 + 5.62312i −0.160923 + 0.278727i
\(408\) 11.1325 8.36947i 0.551142 0.414350i
\(409\) −14.7908 14.7908i −0.731359 0.731359i 0.239530 0.970889i \(-0.423007\pi\)
−0.970889 + 0.239530i \(0.923007\pi\)
\(410\) 10.8003 + 10.8003i 0.533388 + 0.533388i
\(411\) −18.5222 7.88664i −0.913632 0.389019i
\(412\) 6.73592 11.6669i 0.331855 0.574789i
\(413\) −8.61171 + 14.9159i −0.423754 + 0.733964i
\(414\) 0.413061 20.9772i 0.0203008 1.03097i
\(415\) 6.99715i 0.343477i
\(416\) 3.55999 + 0.571370i 0.174543 + 0.0280137i
\(417\) −31.1309 24.3782i −1.52449 1.19381i
\(418\) −0.948390 + 3.53944i −0.0463872 + 0.173120i
\(419\) −15.5017 + 8.94990i −0.757306 + 0.437231i −0.828328 0.560244i \(-0.810707\pi\)
0.0710214 + 0.997475i \(0.477374\pi\)
\(420\) −1.39748 + 9.86361i −0.0681902 + 0.481295i
\(421\) −0.247286 + 0.922884i −0.0120520 + 0.0449786i −0.971690 0.236260i \(-0.924078\pi\)
0.959638 + 0.281238i \(0.0907451\pi\)
\(422\) 6.61278 + 1.77189i 0.321905 + 0.0862542i
\(423\) −15.9878 0.314815i −0.777356 0.0153069i
\(424\) −5.85430 + 5.85430i −0.284310 + 0.284310i
\(425\) −25.7019 14.8390i −1.24672 0.719797i
\(426\) 4.56822 + 0.647228i 0.221331 + 0.0313583i
\(427\) −9.30808 2.49409i −0.450450 0.120698i
\(428\) −9.26775 + 16.0522i −0.447974 + 0.775913i
\(429\) −3.67175 + 3.40221i −0.177274 + 0.164260i
\(430\) −3.44006 5.95835i −0.165894 0.287337i
\(431\) 10.1624 + 37.9267i 0.489507 + 1.82687i 0.558845 + 0.829272i \(0.311245\pi\)
−0.0693375 + 0.997593i \(0.522089\pi\)
\(432\) −2.12937 + 4.73981i −0.102449 + 0.228044i
\(433\) 9.53436 5.50467i 0.458192 0.264537i −0.253092 0.967442i \(-0.581447\pi\)
0.711284 + 0.702905i \(0.248114\pi\)
\(434\) −4.50747 1.20777i −0.216365 0.0579749i
\(435\) −37.0046 15.7564i −1.77423 0.755459i
\(436\) 4.23071 4.23071i 0.202614 0.202614i
\(437\) −30.8826 + 8.27498i −1.47732 + 0.395846i
\(438\) 8.58244 10.9598i 0.410085 0.523677i
\(439\) 4.26304i 0.203464i 0.994812 + 0.101732i \(0.0324384\pi\)
−0.994812 + 0.101732i \(0.967562\pi\)
\(440\) 2.28246 0.611584i 0.108812 0.0291561i
\(441\) 6.63978 + 6.90652i 0.316180 + 0.328882i
\(442\) −10.3343 27.0885i −0.491553 1.28847i
\(443\) 24.9846 14.4249i 1.18705 0.685346i 0.229419 0.973328i \(-0.426317\pi\)
0.957636 + 0.287981i \(0.0929841\pi\)
\(444\) 12.9091 + 5.49662i 0.612639 + 0.260858i
\(445\) 4.33492 + 7.50829i 0.205495 + 0.355927i
\(446\) −17.6918 −0.837733
\(447\) 13.3810 1.62780i 0.632899 0.0769923i
\(448\) 1.88454 0.504962i 0.0890363 0.0238572i
\(449\) −6.56424 + 24.4981i −0.309786 + 1.15614i 0.618961 + 0.785421i \(0.287554\pi\)
−0.928747 + 0.370714i \(0.879113\pi\)
\(450\) 11.0701 + 0.217981i 0.521851 + 0.0102757i
\(451\) 2.07645 + 3.59652i 0.0977764 + 0.169354i
\(452\) −5.97917 −0.281236
\(453\) 8.27234 + 11.0033i 0.388669 + 0.516982i
\(454\) 16.7719 + 9.68326i 0.787144 + 0.454458i
\(455\) 18.9275 + 8.47384i 0.887335 + 0.397260i
\(456\) 7.83979 + 1.11075i 0.367132 + 0.0520155i
\(457\) −20.3409 20.3409i −0.951506 0.951506i 0.0473712 0.998877i \(-0.484916\pi\)
−0.998877 + 0.0473712i \(0.984916\pi\)
\(458\) 22.4916 + 12.9855i 1.05096 + 0.606773i
\(459\) 41.5686 4.22819i 1.94026 0.197355i
\(460\) 14.5789 + 14.5789i 0.679745 + 0.679745i
\(461\) −9.57678 35.7410i −0.446035 1.66462i −0.713190 0.700971i \(-0.752750\pi\)
0.267155 0.963654i \(-0.413917\pi\)
\(462\) −1.06114 + 2.49215i −0.0493688 + 0.115945i
\(463\) 0.644720 + 2.40613i 0.0299627 + 0.111822i 0.979288 0.202474i \(-0.0648981\pi\)
−0.949325 + 0.314296i \(0.898231\pi\)
\(464\) 7.87674i 0.365669i
\(465\) −1.71321 + 12.0921i −0.0794483 + 0.560756i
\(466\) −8.42093 + 8.42093i −0.390092 + 0.390092i
\(467\) 31.2741 1.44719 0.723596 0.690223i \(-0.242488\pi\)
0.723596 + 0.690223i \(0.242488\pi\)
\(468\) 8.25609 + 6.98834i 0.381638 + 0.323036i
\(469\) −1.51482 −0.0699480
\(470\) 11.1113 11.1113i 0.512528 0.512528i
\(471\) −6.33090 + 2.54962i −0.291713 + 0.117480i
\(472\) 8.82789i 0.406337i
\(473\) −0.484165 1.80693i −0.0222619 0.0830827i
\(474\) 1.15427 + 1.53534i 0.0530174 + 0.0705203i
\(475\) −4.36688 16.2974i −0.200366 0.747777i
\(476\) −11.0934 11.0934i −0.508467 0.508467i
\(477\) −24.1133 + 5.95491i −1.10407 + 0.272656i
\(478\) −8.03762 4.64052i −0.367632 0.212253i
\(479\) −3.91612 3.91612i −0.178932 0.178932i 0.611958 0.790890i \(-0.290382\pi\)
−0.790890 + 0.611958i \(0.790382\pi\)
\(480\) −1.90749 4.73643i −0.0870645 0.216187i
\(481\) 18.4273 22.6602i 0.840213 1.03322i
\(482\) 8.48048 + 4.89621i 0.386275 + 0.223016i
\(483\) −23.4609 + 2.85402i −1.06751 + 0.129862i
\(484\) −10.3575 −0.470796
\(485\) −5.41526 9.37951i −0.245894 0.425902i
\(486\) −12.8191 + 8.86968i −0.581485 + 0.402337i
\(487\) −0.759319 + 2.83382i −0.0344080 + 0.128412i −0.980994 0.194040i \(-0.937841\pi\)
0.946586 + 0.322453i \(0.104507\pi\)
\(488\) 4.77087 1.27835i 0.215967 0.0578683i
\(489\) 21.4744 + 28.5638i 0.971105 + 1.29170i
\(490\) −9.41450 −0.425304
\(491\) −17.8494 30.9160i −0.805531 1.39522i −0.915932 0.401334i \(-0.868547\pi\)
0.110400 0.993887i \(-0.464787\pi\)
\(492\) 7.17292 5.39263i 0.323380 0.243118i
\(493\) 54.8525 31.6691i 2.47043 1.42630i
\(494\) 6.73518 15.0440i 0.303030 0.676860i
\(495\) 6.80994 + 1.96920i 0.306084 + 0.0885090i
\(496\) 2.31031 0.619046i 0.103736 0.0277960i
\(497\) 5.19714i 0.233124i
\(498\) 4.07040 + 0.576697i 0.182399 + 0.0258424i
\(499\) −17.6124 + 4.71922i −0.788438 + 0.211261i −0.630502 0.776188i \(-0.717151\pi\)
−0.157936 + 0.987449i \(0.550484\pi\)
\(500\) 2.72919 2.72919i 0.122053 0.122053i
\(501\) −7.81281 + 5.87370i −0.349051 + 0.262418i
\(502\) 13.6281 + 3.65165i 0.608254 + 0.162981i
\(503\) −20.2816 + 11.7096i −0.904310 + 0.522104i −0.878596 0.477565i \(-0.841519\pi\)
−0.0257142 + 0.999669i \(0.508186\pi\)
\(504\) 5.62271 + 1.62590i 0.250455 + 0.0724231i
\(505\) −10.4102 38.8515i −0.463249 1.72887i
\(506\) 2.80293 + 4.85481i 0.124605 + 0.215823i
\(507\) 18.7329 12.4932i 0.831956 0.554842i
\(508\) 1.11899 1.93815i 0.0496473 0.0859917i
\(509\) 3.19606 + 0.856383i 0.141663 + 0.0379585i 0.328954 0.944346i \(-0.393304\pi\)
−0.187291 + 0.982305i \(0.559971\pi\)
\(510\) −25.3146 + 32.3267i −1.12095 + 1.43145i
\(511\) −13.5794 7.84007i −0.600717 0.346824i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 18.4103 + 15.0109i 0.812835 + 0.662745i
\(514\) 4.94531 + 1.32509i 0.218128 + 0.0584473i
\(515\) −10.2790 + 38.3618i −0.452948 + 1.69042i
\(516\) −3.74963 + 1.51008i −0.165068 + 0.0664775i
\(517\) 3.70011 2.13626i 0.162731 0.0939525i
\(518\) 4.09048 15.2659i 0.179725 0.670744i
\(519\) 26.4020 10.6328i 1.15892 0.466729i
\(520\) −10.5732 + 1.08927i −0.463667 + 0.0477676i
\(521\) 7.00178i 0.306754i −0.988168 0.153377i \(-0.950985\pi\)
0.988168 0.153377i \(-0.0490148\pi\)
\(522\) −12.2157 + 20.2278i −0.534667 + 0.885347i
\(523\) −21.4957 + 37.2316i −0.939940 + 1.62802i −0.174360 + 0.984682i \(0.555786\pi\)
−0.765580 + 0.643341i \(0.777548\pi\)
\(524\) 4.25993 7.37842i 0.186096 0.322328i
\(525\) −1.50613 12.3808i −0.0657328 0.540342i
\(526\) 10.1984 + 10.1984i 0.444671 + 0.444671i
\(527\) −13.5997 13.5997i −0.592414 0.592414i
\(528\) −0.167654 1.37817i −0.00729622 0.0599770i
\(529\) −12.9564 + 22.4411i −0.563320 + 0.975698i
\(530\) 12.2036 21.1373i 0.530092 0.918146i
\(531\) 13.6908 22.6704i 0.594130 0.983811i
\(532\) 8.91912i 0.386693i
\(533\) −6.65861 17.4537i −0.288417 0.756003i
\(534\) 4.72503 1.90289i 0.204472 0.0823463i
\(535\) 14.1426 52.7809i 0.611438 2.28192i
\(536\) 0.672403 0.388212i 0.0290434 0.0167682i
\(537\) −9.73193 + 3.91931i −0.419964 + 0.169131i
\(538\) −3.09785 + 11.5613i −0.133558 + 0.498445i
\(539\) −2.47254 0.662515i −0.106500 0.0285365i
\(540\) 2.44702 15.1216i 0.105303 0.650730i
\(541\) 8.12664 8.12664i 0.349391 0.349391i −0.510491 0.859883i \(-0.670536\pi\)
0.859883 + 0.510491i \(0.170536\pi\)
\(542\) −20.6389 11.9159i −0.886518 0.511832i
\(543\) −13.0801 + 16.7033i −0.561322 + 0.716806i
\(544\) 7.76717 + 2.08121i 0.333015 + 0.0892310i
\(545\) −8.81916 + 15.2752i −0.377771 + 0.654319i
\(546\) 6.48941 10.3122i 0.277721 0.441320i
\(547\) 2.01972 + 3.49826i 0.0863570 + 0.149575i 0.905969 0.423345i \(-0.139144\pi\)
−0.819612 + 0.572919i \(0.805811\pi\)
\(548\) −3.00821 11.2268i −0.128504 0.479585i
\(549\) 14.2343 + 4.11609i 0.607507 + 0.175670i
\(550\) −2.56199 + 1.47916i −0.109243 + 0.0630717i
\(551\) 34.7816 + 9.31971i 1.48175 + 0.397033i
\(552\) 9.68245 7.27930i 0.412113 0.309828i
\(553\) 1.52995 1.52995i 0.0650599 0.0650599i
\(554\) 9.12230 2.44431i 0.387570 0.103849i
\(555\) −40.9533 5.80229i −1.73837 0.246294i
\(556\) 22.8286i 0.968147i
\(557\) 22.2275 5.95584i 0.941810 0.252357i 0.244926 0.969542i \(-0.421236\pi\)
0.696883 + 0.717185i \(0.254570\pi\)
\(558\) 6.89303 + 1.99323i 0.291805 + 0.0843801i
\(559\) 0.862329 + 8.37039i 0.0364726 + 0.354030i
\(560\) −4.98106 + 2.87582i −0.210488 + 0.121525i
\(561\) −8.92328 + 6.70855i −0.376741 + 0.283235i
\(562\) 9.75137 + 16.8899i 0.411337 + 0.712456i
\(563\) 4.88910 0.206051 0.103025 0.994679i \(-0.467148\pi\)
0.103025 + 0.994679i \(0.467148\pi\)
\(564\) −5.54794 7.37951i −0.233610 0.310733i
\(565\) 17.0260 4.56211i 0.716290 0.191929i
\(566\) −5.36367 + 20.0175i −0.225452 + 0.841397i
\(567\) 11.9178 + 12.8954i 0.500501 + 0.541556i
\(568\) 1.33190 + 2.30692i 0.0558853 + 0.0967963i
\(569\) −21.3664 −0.895725 −0.447863 0.894102i \(-0.647815\pi\)
−0.447863 + 0.894102i \(0.647815\pi\)
\(570\) −23.1718 + 2.81885i −0.970559 + 0.118069i
\(571\) −21.5820 12.4604i −0.903179 0.521451i −0.0249486 0.999689i \(-0.507942\pi\)
−0.878230 + 0.478238i \(0.841276\pi\)
\(572\) −2.85351 0.457981i −0.119311 0.0191492i
\(573\) 0.272217 + 0.675934i 0.0113720 + 0.0282376i
\(574\) −7.14774 7.14774i −0.298341 0.298341i
\(575\) −22.3541 12.9061i −0.932230 0.538223i
\(576\) −2.91250 + 0.719258i −0.121354 + 0.0299691i
\(577\) −4.11164 4.11164i −0.171170 0.171170i 0.616323 0.787493i \(-0.288621\pi\)
−0.787493 + 0.616323i \(0.788621\pi\)
\(578\) −12.3354 46.0364i −0.513085 1.91486i
\(579\) −14.1441 18.8136i −0.587809 0.781865i
\(580\) −6.00996 22.4295i −0.249550 0.931333i
\(581\) 4.63079i 0.192117i
\(582\) −5.90259 + 2.37713i −0.244670 + 0.0985353i
\(583\) 4.69252 4.69252i 0.194344 0.194344i
\(584\) 8.03688 0.332568
\(585\) −28.8418 13.6003i −1.19246 0.562303i
\(586\) −19.3065 −0.797542
\(587\) −12.7350 + 12.7350i −0.525630 + 0.525630i −0.919266 0.393636i \(-0.871217\pi\)
0.393636 + 0.919266i \(0.371217\pi\)
\(588\) −0.775932 + 5.47663i −0.0319989 + 0.225852i
\(589\) 10.9342i 0.450535i
\(590\) 6.73569 + 25.1379i 0.277304 + 1.03491i
\(591\) −0.627787 + 1.47439i −0.0258237 + 0.0606483i
\(592\) 2.09658 + 7.82455i 0.0861690 + 0.321587i
\(593\) −8.08152 8.08152i −0.331868 0.331868i 0.521427 0.853296i \(-0.325400\pi\)
−0.853296 + 0.521427i \(0.825400\pi\)
\(594\) 1.70680 3.79920i 0.0700307 0.155883i
\(595\) 40.0535 + 23.1249i 1.64203 + 0.948029i
\(596\) 5.50303 + 5.50303i 0.225413 + 0.225413i
\(597\) −21.9951 3.11628i −0.900201 0.127541i
\(598\) −8.98821 23.5601i −0.367555 0.963443i
\(599\) −0.103217 0.0595921i −0.00421731 0.00243487i 0.497890 0.867240i \(-0.334108\pi\)
−0.502107 + 0.864805i \(0.667442\pi\)
\(600\) 3.84144 + 5.10964i 0.156826 + 0.208600i
\(601\) 27.0871 1.10490 0.552452 0.833545i \(-0.313692\pi\)
0.552452 + 0.833545i \(0.313692\pi\)
\(602\) 2.27666 + 3.94330i 0.0927899 + 0.160717i
\(603\) 2.32882 + 0.0458567i 0.0948370 + 0.00186743i
\(604\) −2.05706 + 7.67704i −0.0837004 + 0.312374i
\(605\) 29.4936 7.90279i 1.19909 0.321294i
\(606\) −23.4588 + 2.85377i −0.952949 + 0.115927i
\(607\) −18.4983 −0.750823 −0.375412 0.926858i \(-0.622499\pi\)
−0.375412 + 0.926858i \(0.622499\pi\)
\(608\) 2.28576 + 3.95904i 0.0926996 + 0.160560i
\(609\) 24.4900 + 10.4277i 0.992386 + 0.422552i
\(610\) −12.6100 + 7.28036i −0.510562 + 0.294773i
\(611\) −17.9564 + 6.85039i −0.726437 + 0.277137i
\(612\) 16.7188 + 17.3904i 0.675816 + 0.702965i
\(613\) −21.0392 + 5.63743i −0.849764 + 0.227694i −0.657317 0.753614i \(-0.728309\pi\)
−0.192447 + 0.981307i \(0.561642\pi\)
\(614\) 22.0280i 0.888978i
\(615\) −16.3107 + 20.8288i −0.657712 + 0.839897i
\(616\) −1.51056 + 0.404752i −0.0608620 + 0.0163079i
\(617\) −1.85763 + 1.85763i −0.0747856 + 0.0747856i −0.743510 0.668725i \(-0.766841\pi\)
0.668725 + 0.743510i \(0.266841\pi\)
\(618\) 21.4688 + 9.14128i 0.863600 + 0.367716i
\(619\) 13.7714 + 3.69004i 0.553520 + 0.148315i 0.524728 0.851270i \(-0.324167\pi\)
0.0287923 + 0.999585i \(0.490834\pi\)
\(620\) −6.10641 + 3.52554i −0.245239 + 0.141589i
\(621\) 36.1541 3.67744i 1.45081 0.147571i
\(622\) 2.51514 + 9.38665i 0.100848 + 0.376370i
\(623\) −2.86889 4.96907i −0.114940 0.199081i
\(624\) −0.237782 + 6.24047i −0.00951889 + 0.249819i
\(625\) −14.9160 + 25.8354i −0.596642 + 1.03341i
\(626\) −5.31097 1.42307i −0.212269 0.0568773i
\(627\) −6.28399 0.890320i −0.250958 0.0355559i
\(628\) −3.41251 1.97021i −0.136174 0.0786201i
\(629\) 46.0595 46.0595i 1.83651 1.83651i
\(630\) −17.2516 0.339699i −0.687318 0.0135339i
\(631\) 34.0030 + 9.11109i 1.35364 + 0.362707i 0.861477 0.507797i \(-0.169540\pi\)
0.492163 + 0.870503i \(0.336206\pi\)
\(632\) −0.287029 + 1.07121i −0.0114174 + 0.0426103i
\(633\) −1.66340 + 11.7405i −0.0661141 + 0.466642i
\(634\) −0.906274 + 0.523237i −0.0359927 + 0.0207804i
\(635\) −1.70759 + 6.37280i −0.0677635 + 0.252897i
\(636\) −11.2902 8.84124i −0.447687 0.350578i
\(637\) 10.5092 + 4.70498i 0.416391 + 0.186418i
\(638\) 6.31360i 0.249958i
\(639\) −0.157328 + 7.98986i −0.00622379 + 0.316074i
\(640\) 1.47400 2.55305i 0.0582651 0.100918i
\(641\) 2.90958 5.03954i 0.114922 0.199050i −0.802827 0.596212i \(-0.796672\pi\)
0.917748 + 0.397162i \(0.130005\pi\)
\(642\) −29.5382 12.5772i −1.16578 0.496383i
\(643\) −4.20333 4.20333i −0.165763 0.165763i 0.619351 0.785114i \(-0.287396\pi\)
−0.785114 + 0.619351i \(0.787396\pi\)
\(644\) −9.64846 9.64846i −0.380203 0.380203i
\(645\) 9.52511 7.16101i 0.375051 0.281964i
\(646\) 18.3801 31.8353i 0.723157 1.25254i
\(647\) 2.47586 4.28832i 0.0973362 0.168591i −0.813245 0.581921i \(-0.802301\pi\)
0.910581 + 0.413330i \(0.135634\pi\)
\(648\) −8.59489 2.66979i −0.337639 0.104879i
\(649\) 7.07600i 0.277757i
\(650\) 12.4332 4.74327i 0.487668 0.186046i
\(651\) 1.13382 8.00265i 0.0444379 0.313649i
\(652\) −5.33996 + 19.9290i −0.209129 + 0.780480i
\(653\) −17.7446 + 10.2448i −0.694400 + 0.400912i −0.805258 0.592924i \(-0.797973\pi\)
0.110859 + 0.993836i \(0.464640\pi\)
\(654\) 8.15908 + 6.38927i 0.319045 + 0.249840i
\(655\) −6.50067 + 24.2608i −0.254002 + 0.947949i
\(656\) 5.00455 + 1.34097i 0.195395 + 0.0523559i
\(657\) 20.6390 + 12.4641i 0.805206 + 0.486269i
\(658\) −7.35360 + 7.35360i −0.286673 + 0.286673i
\(659\) −4.16393 2.40405i −0.162204 0.0936484i 0.416701 0.909044i \(-0.363186\pi\)
−0.578905 + 0.815395i \(0.696520\pi\)
\(660\) 1.52895 + 3.79649i 0.0595142 + 0.147778i
\(661\) 39.4745 + 10.5772i 1.53538 + 0.411404i 0.924770 0.380527i \(-0.124257\pi\)
0.610611 + 0.791931i \(0.290924\pi\)
\(662\) −6.17265 + 10.6913i −0.239907 + 0.415531i
\(663\) 44.4137 23.4345i 1.72489 0.910119i
\(664\) 1.18676 + 2.05553i 0.0460552 + 0.0797699i
\(665\) 6.80530 + 25.3977i 0.263898 + 0.984881i
\(666\) −6.75065 + 23.3453i −0.261583 + 0.904611i
\(667\) 47.7077 27.5440i 1.84725 1.06651i
\(668\) −5.45101 1.46059i −0.210906 0.0565120i
\(669\) −3.70047 30.4189i −0.143068 1.17606i
\(670\) −1.61850 + 1.61850i −0.0625282 + 0.0625282i
\(671\) −3.82410 + 1.02466i −0.147628 + 0.0395567i
\(672\) 1.26239 + 3.13462i 0.0486979 + 0.120920i
\(673\) 26.1416i 1.00768i 0.863796 + 0.503842i \(0.168081\pi\)
−0.863796 + 0.503842i \(0.831919\pi\)
\(674\) 20.4587 5.48190i 0.788040 0.211155i
\(675\) 1.94066 + 19.0793i 0.0746962 + 0.734362i
\(676\) 12.3471 + 4.06814i 0.474887 + 0.156467i
\(677\) −34.5645 + 19.9558i −1.32842 + 0.766964i −0.985055 0.172238i \(-0.944900\pi\)
−0.343365 + 0.939202i \(0.611567\pi\)
\(678\) −1.25062 10.2804i −0.0480297 0.394818i
\(679\) 3.58388 + 6.20745i 0.137537 + 0.238220i
\(680\) −23.7054 −0.909062
\(681\) −13.1411 + 30.8626i −0.503568 + 1.18266i
\(682\) −1.85183 + 0.496197i −0.0709103 + 0.0190003i
\(683\) 9.69531 36.1834i 0.370981 1.38452i −0.488148 0.872761i \(-0.662327\pi\)
0.859129 0.511759i \(-0.171006\pi\)
\(684\) −0.270000 + 13.7119i −0.0103237 + 0.524287i
\(685\) 17.1321 + 29.6737i 0.654584 + 1.13377i
\(686\) 19.8878 0.759319
\(687\) −17.6226 + 41.3875i −0.672343 + 1.57903i
\(688\) −2.02114 1.16691i −0.0770554 0.0444880i
\(689\) −24.1862 + 17.4963i −0.921422 + 0.666556i
\(690\) −22.0172 + 28.1160i −0.838182 + 1.07036i
\(691\) 32.8832 + 32.8832i 1.25094 + 1.25094i 0.955300 + 0.295637i \(0.0955319\pi\)
0.295637 + 0.955300i \(0.404468\pi\)
\(692\) 14.2313 + 8.21647i 0.540994 + 0.312343i
\(693\) −4.50689 1.30324i −0.171202 0.0495059i
\(694\) 1.77989 + 1.77989i 0.0675636 + 0.0675636i
\(695\) 17.4182 + 65.0057i 0.660711 + 2.46581i
\(696\) −13.5431 + 1.64752i −0.513349 + 0.0624491i
\(697\) −10.7829 40.2424i −0.408433 1.52429i
\(698\) 17.7918i 0.673429i
\(699\) −16.2401 12.7174i −0.614256 0.481016i
\(700\) 5.09170 5.09170i 0.192448 0.192448i
\(701\) −27.1053 −1.02375 −0.511876 0.859059i \(-0.671049\pi\)
−0.511876 + 0.859059i \(0.671049\pi\)
\(702\) −10.2887 + 15.6570i −0.388323 + 0.590936i
\(703\) 37.0318 1.39668
\(704\) 0.566782 0.566782i 0.0213614 0.0213614i
\(705\) 21.4286 + 16.7805i 0.807050 + 0.631990i
\(706\) 3.12134i 0.117473i
\(707\) 6.88960 + 25.7123i 0.259110 + 0.967012i
\(708\) 15.1785 1.84646i 0.570441 0.0693944i
\(709\) 11.7626 + 43.8986i 0.441753 + 1.64865i 0.724369 + 0.689413i \(0.242131\pi\)
−0.282615 + 0.959233i \(0.591202\pi\)
\(710\) −5.55285 5.55285i −0.208395 0.208395i
\(711\) −2.39839 + 2.30576i −0.0899466 + 0.0864727i
\(712\) 2.54690 + 1.47046i 0.0954492 + 0.0551076i
\(713\) −11.8283 11.8283i −0.442974 0.442974i
\(714\) 16.7535 21.3941i 0.626982 0.800655i
\(715\) 8.47498 0.873104i 0.316946 0.0326522i
\(716\) −5.24575 3.02863i −0.196043 0.113185i
\(717\) 6.29763 14.7903i 0.235189 0.552354i
\(718\) 20.3106 0.757986
\(719\) 10.2199 + 17.7014i 0.381138 + 0.660150i 0.991225 0.132184i \(-0.0421990\pi\)
−0.610087 + 0.792334i \(0.708866\pi\)
\(720\) 7.74472 4.27037i 0.288629 0.159147i
\(721\) 6.80276 25.3882i 0.253348 0.945508i
\(722\) 1.83401 0.491422i 0.0682548 0.0182888i
\(723\) −6.64462 + 15.6052i −0.247116 + 0.580365i
\(724\) −12.2487 −0.455218
\(725\) 14.5356 + 25.1763i 0.539837 + 0.935026i
\(726\) −2.16640 17.8085i −0.0804028 0.660934i
\(727\) −25.7087 + 14.8430i −0.953485 + 0.550495i −0.894162 0.447744i \(-0.852227\pi\)
−0.0593229 + 0.998239i \(0.518894\pi\)
\(728\) 6.99748 0.720889i 0.259344 0.0267179i
\(729\) −17.9316 20.1856i −0.664133 0.747615i
\(730\) −22.8855 + 6.13215i −0.847030 + 0.226961i
\(731\) 18.7666i 0.694108i
\(732\) 3.19585 + 7.93554i 0.118122 + 0.293306i
\(733\) 1.64769 0.441496i 0.0608587 0.0163070i −0.228261 0.973600i \(-0.573304\pi\)
0.289120 + 0.957293i \(0.406637\pi\)
\(734\) −16.4194 + 16.4194i −0.606049 + 0.606049i
\(735\) −1.96916 16.1871i −0.0726336 0.597069i
\(736\) 6.75546 + 1.81012i 0.249009 + 0.0667219i
\(737\) −0.538965 + 0.311172i −0.0198530 + 0.0114622i
\(738\) 10.7723 + 11.2050i 0.396532 + 0.412462i
\(739\) −12.2243 45.6218i −0.449679 1.67822i −0.703279 0.710914i \(-0.748281\pi\)
0.253600 0.967309i \(-0.418385\pi\)
\(740\) −11.9403 20.6812i −0.438933 0.760255i
\(741\) 27.2749 + 8.43367i 1.00197 + 0.309819i
\(742\) −8.07649 + 13.9889i −0.296497 + 0.513548i
\(743\) −31.1963 8.35903i −1.14448 0.306663i −0.363730 0.931504i \(-0.618497\pi\)
−0.780752 + 0.624842i \(0.785164\pi\)
\(744\) 1.54760 + 3.84281i 0.0567379 + 0.140884i
\(745\) −19.8690 11.4714i −0.727945 0.420279i
\(746\) −17.8997 + 17.8997i −0.655355 + 0.655355i
\(747\) −0.140183 + 7.11917i −0.00512903 + 0.260477i
\(748\) −6.22578 1.66819i −0.227637 0.0609952i
\(749\) −9.35972 + 34.9309i −0.341997 + 1.27635i
\(750\) 5.26335 + 4.12166i 0.192190 + 0.150502i
\(751\) 31.9440 18.4429i 1.16565 0.672991i 0.213002 0.977052i \(-0.431676\pi\)
0.952653 + 0.304061i \(0.0983427\pi\)
\(752\) 1.37959 5.14869i 0.0503084 0.187753i
\(753\) −3.42806 + 24.1957i −0.124925 + 0.881740i
\(754\) −4.50053 + 28.0411i −0.163900 + 1.02120i
\(755\) 23.4303i 0.852717i
\(756\) −1.61946 + 10.0076i −0.0588993 + 0.363974i
\(757\) −6.73813 + 11.6708i −0.244902 + 0.424182i −0.962104 0.272683i \(-0.912089\pi\)
0.717202 + 0.696865i \(0.245422\pi\)
\(758\) 11.5362 19.9812i 0.419012 0.725751i
\(759\) −7.76097 + 5.83473i −0.281706 + 0.211787i
\(760\) −9.52957 9.52957i −0.345674 0.345674i
\(761\) −28.9718 28.9718i −1.05023 1.05023i −0.998670 0.0515555i \(-0.983582\pi\)
−0.0515555 0.998670i \(-0.516418\pi\)
\(762\) 3.56647 + 1.51858i 0.129199 + 0.0550124i
\(763\) 5.83661 10.1093i 0.211299 0.365981i
\(764\) −0.210355 + 0.364345i −0.00761037 + 0.0131815i
\(765\) −60.8765 36.7638i −2.20100 1.32920i
\(766\) 23.8524i 0.861821i
\(767\) 5.04399 31.4272i 0.182128 1.13477i
\(768\) −1.36368 1.06788i −0.0492076 0.0385339i
\(769\) −5.66777 + 21.1524i −0.204385 + 0.762775i 0.785251 +