Properties

Label 512.2.o.a.149.31
Level $512$
Weight $2$
Character 512.149
Analytic conductor $4.088$
Analytic rank $0$
Dimension $4032$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [512,2,Mod(5,512)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(512, base_ring=CyclotomicField(128))
 
chi = DirichletCharacter(H, H._module([0, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("512.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 512 = 2^{9} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 512.o (of order \(128\), degree \(64\), 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: \(4.08834058349\)
Analytic rank: \(0\)
Dimension: \(4032\)
Relative dimension: \(63\) over \(\Q(\zeta_{128})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{128}]$

Embedding invariants

Embedding label 149.31
Character \(\chi\) \(=\) 512.149
Dual form 512.2.o.a.189.31

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.127152 + 1.40849i) q^{2} +(-1.99778 - 0.346647i) q^{3} +(-1.96766 - 0.358184i) q^{4} +(0.531550 - 1.60903i) q^{5} +(0.742269 - 2.76976i) q^{6} +(-0.215121 + 4.37889i) q^{7} +(0.754691 - 2.72588i) q^{8} +(1.04631 + 0.374377i) q^{9} +O(q^{10})\) \(q+(-0.127152 + 1.40849i) q^{2} +(-1.99778 - 0.346647i) q^{3} +(-1.96766 - 0.358184i) q^{4} +(0.531550 - 1.60903i) q^{5} +(0.742269 - 2.76976i) q^{6} +(-0.215121 + 4.37889i) q^{7} +(0.754691 - 2.72588i) q^{8} +(1.04631 + 0.374377i) q^{9} +(2.19870 + 0.953273i) q^{10} +(-5.21805 - 2.31300i) q^{11} +(3.80679 + 1.39766i) q^{12} +(1.21859 - 1.05116i) q^{13} +(-6.14025 - 0.859780i) q^{14} +(-1.61968 + 3.03021i) q^{15} +(3.74341 + 1.40957i) q^{16} +(5.34592 - 2.85746i) q^{17} +(-0.660346 + 1.42611i) q^{18} +(5.80548 - 3.28876i) q^{19} +(-1.62224 + 2.97563i) q^{20} +(1.94769 - 8.67346i) q^{21} +(3.92132 - 7.05544i) q^{22} +(0.734689 + 2.93304i) q^{23} +(-2.45262 + 5.18409i) q^{24} +(1.70962 + 1.26794i) q^{25} +(1.32560 + 1.85002i) q^{26} +(3.33211 + 1.88762i) q^{27} +(1.99173 - 8.53913i) q^{28} +(-7.45918 + 0.183113i) q^{29} +(-4.06207 - 2.66660i) q^{30} +(3.23207 - 2.15960i) q^{31} +(-2.46135 + 5.09331i) q^{32} +(9.62270 + 6.42968i) q^{33} +(3.34494 + 7.89299i) q^{34} +(6.93139 + 2.67373i) q^{35} +(-1.92470 - 1.11142i) q^{36} +(4.43867 + 0.547458i) q^{37} +(3.89400 + 8.59511i) q^{38} +(-2.79885 + 1.67757i) q^{39} +(-3.98486 - 2.66326i) q^{40} +(6.90533 - 5.12134i) q^{41} +(11.9688 + 3.84615i) q^{42} +(3.05673 - 4.34022i) q^{43} +(9.43889 + 6.42023i) q^{44} +(1.15855 - 1.48455i) q^{45} +(-4.22457 + 0.661856i) q^{46} +(-0.332596 - 3.37690i) q^{47} +(-6.98987 - 4.11365i) q^{48} +(-12.1621 - 1.19786i) q^{49} +(-2.00326 + 2.24675i) q^{50} +(-11.6705 + 3.85541i) q^{51} +(-2.77428 + 1.63185i) q^{52} +(-2.81817 - 0.0691821i) q^{53} +(-3.08237 + 4.45322i) q^{54} +(-6.49534 + 7.16650i) q^{55} +(11.7740 + 3.89110i) q^{56} +(-12.7381 + 4.55776i) q^{57} +(0.690541 - 10.5294i) q^{58} +(2.99650 - 3.47378i) q^{59} +(4.27237 - 5.38230i) q^{60} +(9.07945 - 2.03886i) q^{61} +(2.63080 + 4.82692i) q^{62} +(-1.86444 + 4.50115i) q^{63} +(-6.86088 - 4.11440i) q^{64} +(-1.04361 - 2.51949i) q^{65} +(-10.2797 + 12.7359i) q^{66} +(4.07661 + 2.58148i) q^{67} +(-11.5425 + 3.70769i) q^{68} +(-0.451014 - 6.11424i) q^{69} +(-4.64726 + 9.42280i) q^{70} +(-0.0135037 - 0.00638677i) q^{71} +(1.81015 - 2.56959i) q^{72} +(-0.149835 - 3.04996i) q^{73} +(-1.33547 + 6.18219i) q^{74} +(-2.97591 - 3.12569i) q^{75} +(-12.6012 + 4.39175i) q^{76} +(11.2509 - 22.3517i) q^{77} +(-2.00695 - 4.15545i) q^{78} +(0.269025 + 0.327808i) q^{79} +(4.25785 - 5.27398i) q^{80} +(-8.57956 - 7.04106i) q^{81} +(6.33531 + 10.3773i) q^{82} +(-16.4094 + 2.02391i) q^{83} +(-6.93910 + 16.3688i) q^{84} +(-1.75609 - 10.1206i) q^{85} +(5.72447 + 4.85723i) q^{86} +(14.9653 + 2.21989i) q^{87} +(-10.2430 + 12.4782i) q^{88} +(1.15612 - 4.61549i) q^{89} +(1.94365 + 1.82057i) q^{90} +(4.34077 + 5.56219i) q^{91} +(-0.395051 - 6.03440i) q^{92} +(-7.20557 + 3.19401i) q^{93} +(4.79860 - 0.0390755i) q^{94} +(-2.20580 - 11.0893i) q^{95} +(6.68280 - 9.32207i) q^{96} +(-0.0305978 + 0.153825i) q^{97} +(3.23360 - 16.9778i) q^{98} +(-4.59378 - 4.37364i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4032 q - 64 q^{2} - 64 q^{3} - 64 q^{4} - 64 q^{5} - 64 q^{6} - 64 q^{7} - 64 q^{8} - 64 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4032 q - 64 q^{2} - 64 q^{3} - 64 q^{4} - 64 q^{5} - 64 q^{6} - 64 q^{7} - 64 q^{8} - 64 q^{9} - 64 q^{10} - 64 q^{11} - 64 q^{12} - 64 q^{13} - 64 q^{14} - 64 q^{15} - 64 q^{16} - 64 q^{17} - 64 q^{18} - 64 q^{19} - 64 q^{20} - 64 q^{21} - 64 q^{22} - 64 q^{23} - 64 q^{24} - 64 q^{25} - 64 q^{26} - 64 q^{27} - 64 q^{28} - 64 q^{29} - 64 q^{30} - 64 q^{31} - 64 q^{32} - 64 q^{33} - 64 q^{34} - 64 q^{35} - 64 q^{36} - 64 q^{37} - 64 q^{38} - 64 q^{39} - 64 q^{40} - 64 q^{41} - 64 q^{42} - 64 q^{43} - 64 q^{44} - 64 q^{45} - 64 q^{46} - 64 q^{47} - 64 q^{48} - 64 q^{49} - 64 q^{50} - 64 q^{51} - 64 q^{52} - 64 q^{53} - 64 q^{54} - 64 q^{55} - 64 q^{56} - 64 q^{57} - 64 q^{58} - 64 q^{59} - 64 q^{60} - 64 q^{61} - 64 q^{62} - 64 q^{63} - 64 q^{64} - 64 q^{65} - 64 q^{66} - 64 q^{67} - 64 q^{68} - 64 q^{69} - 64 q^{70} - 64 q^{71} - 64 q^{72} - 64 q^{73} - 64 q^{74} - 64 q^{75} - 64 q^{76} - 64 q^{77} - 64 q^{78} - 64 q^{79} - 64 q^{80} - 64 q^{81} - 64 q^{82} - 64 q^{83} - 64 q^{84} - 64 q^{85} - 64 q^{86} - 64 q^{87} - 64 q^{88} - 64 q^{89} - 64 q^{90} - 64 q^{91} - 64 q^{92} - 64 q^{93} - 64 q^{94} - 64 q^{95} - 64 q^{96} - 64 q^{97} - 64 q^{98} - 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/512\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(511\)
\(\chi(n)\) \(e\left(\frac{77}{128}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.127152 + 1.40849i −0.0899103 + 0.995950i
\(3\) −1.99778 0.346647i −1.15342 0.200137i −0.438093 0.898930i \(-0.644346\pi\)
−0.715324 + 0.698793i \(0.753721\pi\)
\(4\) −1.96766 0.358184i −0.983832 0.179092i
\(5\) 0.531550 1.60903i 0.237717 0.719578i −0.759865 0.650080i \(-0.774735\pi\)
0.997582 0.0694981i \(-0.0221398\pi\)
\(6\) 0.742269 2.76976i 0.303030 1.13075i
\(7\) −0.215121 + 4.37889i −0.0813080 + 1.65506i 0.518617 + 0.855007i \(0.326447\pi\)
−0.599925 + 0.800056i \(0.704803\pi\)
\(8\) 0.754691 2.72588i 0.266824 0.963745i
\(9\) 1.04631 + 0.374377i 0.348771 + 0.124792i
\(10\) 2.19870 + 0.953273i 0.695291 + 0.301451i
\(11\) −5.21805 2.31300i −1.57330 0.697396i −0.580179 0.814489i \(-0.697018\pi\)
−0.993121 + 0.117093i \(0.962643\pi\)
\(12\) 3.80679 + 1.39766i 1.09893 + 0.403469i
\(13\) 1.21859 1.05116i 0.337976 0.291540i −0.467711 0.883881i \(-0.654921\pi\)
0.805687 + 0.592341i \(0.201796\pi\)
\(14\) −6.14025 0.859780i −1.64105 0.229786i
\(15\) −1.61968 + 3.03021i −0.418200 + 0.782398i
\(16\) 3.74341 + 1.40957i 0.935852 + 0.352393i
\(17\) 5.34592 2.85746i 1.29658 0.693035i 0.328694 0.944437i \(-0.393392\pi\)
0.967883 + 0.251402i \(0.0808915\pi\)
\(18\) −0.660346 + 1.42611i −0.155645 + 0.336138i
\(19\) 5.80548 3.28876i 1.33187 0.754494i 0.348707 0.937232i \(-0.386621\pi\)
0.983162 + 0.182738i \(0.0584960\pi\)
\(20\) −1.62224 + 2.97563i −0.362744 + 0.665371i
\(21\) 1.94769 8.67346i 0.425021 1.89270i
\(22\) 3.92132 7.05544i 0.836027 1.50423i
\(23\) 0.734689 + 2.93304i 0.153193 + 0.611582i 0.997168 + 0.0751998i \(0.0239595\pi\)
−0.843975 + 0.536382i \(0.819791\pi\)
\(24\) −2.45262 + 5.18409i −0.500640 + 1.05820i
\(25\) 1.70962 + 1.26794i 0.341924 + 0.253588i
\(26\) 1.32560 + 1.85002i 0.259972 + 0.362819i
\(27\) 3.33211 + 1.88762i 0.641266 + 0.363273i
\(28\) 1.99173 8.53913i 0.376402 1.61374i
\(29\) −7.45918 + 0.183113i −1.38514 + 0.0340032i −0.710266 0.703934i \(-0.751425\pi\)
−0.674870 + 0.737937i \(0.735800\pi\)
\(30\) −4.06207 2.66660i −0.741629 0.486852i
\(31\) 3.23207 2.15960i 0.580497 0.387876i −0.230373 0.973102i \(-0.573995\pi\)
0.810870 + 0.585227i \(0.198995\pi\)
\(32\) −2.46135 + 5.09331i −0.435109 + 0.900378i
\(33\) 9.62270 + 6.42968i 1.67510 + 1.11926i
\(34\) 3.34494 + 7.89299i 0.573652 + 1.35364i
\(35\) 6.93139 + 2.67373i 1.17162 + 0.451944i
\(36\) −1.92470 1.11142i −0.320783 0.185237i
\(37\) 4.43867 + 0.547458i 0.729713 + 0.0900015i 0.478695 0.877981i \(-0.341110\pi\)
0.251018 + 0.967983i \(0.419235\pi\)
\(38\) 3.89400 + 8.59511i 0.631690 + 1.39431i
\(39\) −2.79885 + 1.67757i −0.448175 + 0.268626i
\(40\) −3.98486 2.66326i −0.630062 0.421099i
\(41\) 6.90533 5.12134i 1.07843 0.799819i 0.0977070 0.995215i \(-0.468849\pi\)
0.980724 + 0.195396i \(0.0625992\pi\)
\(42\) 11.9688 + 3.84615i 1.84683 + 0.593473i
\(43\) 3.05673 4.34022i 0.466147 0.661878i −0.514539 0.857467i \(-0.672037\pi\)
0.980686 + 0.195589i \(0.0626619\pi\)
\(44\) 9.43889 + 6.42023i 1.42297 + 0.967887i
\(45\) 1.15855 1.48455i 0.172707 0.221303i
\(46\) −4.22457 + 0.661856i −0.622879 + 0.0975854i
\(47\) −0.332596 3.37690i −0.0485140 0.492571i −0.988485 0.151318i \(-0.951648\pi\)
0.939971 0.341254i \(-0.110852\pi\)
\(48\) −6.98987 4.11365i −1.00890 0.593755i
\(49\) −12.1621 1.19786i −1.73744 0.171123i
\(50\) −2.00326 + 2.24675i −0.283303 + 0.317739i
\(51\) −11.6705 + 3.85541i −1.63419 + 0.539865i
\(52\) −2.77428 + 1.63185i −0.384724 + 0.226297i
\(53\) −2.81817 0.0691821i −0.387105 0.00950290i −0.169476 0.985534i \(-0.554207\pi\)
−0.217629 + 0.976031i \(0.569832\pi\)
\(54\) −3.08237 + 4.45322i −0.419458 + 0.606007i
\(55\) −6.49534 + 7.16650i −0.875831 + 0.966330i
\(56\) 11.7740 + 3.89110i 1.57336 + 0.519970i
\(57\) −12.7381 + 4.55776i −1.68720 + 0.603690i
\(58\) 0.690541 10.5294i 0.0906725 1.38258i
\(59\) 2.99650 3.47378i 0.390111 0.452247i −0.527602 0.849492i \(-0.676909\pi\)
0.917713 + 0.397245i \(0.130034\pi\)
\(60\) 4.27237 5.38230i 0.551560 0.694852i
\(61\) 9.07945 2.03886i 1.16250 0.261049i 0.405273 0.914196i \(-0.367177\pi\)
0.757231 + 0.653147i \(0.226552\pi\)
\(62\) 2.63080 + 4.82692i 0.334112 + 0.613020i
\(63\) −1.86444 + 4.50115i −0.234897 + 0.567092i
\(64\) −6.86088 4.11440i −0.857610 0.514300i
\(65\) −1.04361 2.51949i −0.129443 0.312504i
\(66\) −10.2797 + 12.7359i −1.26534 + 1.56768i
\(67\) 4.07661 + 2.58148i 0.498037 + 0.315378i 0.760249 0.649632i \(-0.225077\pi\)
−0.262212 + 0.965010i \(0.584452\pi\)
\(68\) −11.5425 + 3.70769i −1.39973 + 0.449623i
\(69\) −0.451014 6.11424i −0.0542957 0.736069i
\(70\) −4.64726 + 9.42280i −0.555454 + 1.12624i
\(71\) −0.0135037 0.00638677i −0.00160259 0.000757970i 0.426754 0.904368i \(-0.359657\pi\)
−0.428356 + 0.903610i \(0.640907\pi\)
\(72\) 1.81015 2.56959i 0.213328 0.302829i
\(73\) −0.149835 3.04996i −0.0175369 0.356971i −0.991487 0.130208i \(-0.958436\pi\)
0.973950 0.226763i \(-0.0728144\pi\)
\(74\) −1.33547 + 6.18219i −0.155246 + 0.718665i
\(75\) −2.97591 3.12569i −0.343628 0.360924i
\(76\) −12.6012 + 4.39175i −1.44546 + 0.503768i
\(77\) 11.2509 22.3517i 1.28216 2.54721i
\(78\) −2.00695 4.15545i −0.227242 0.470512i
\(79\) 0.269025 + 0.327808i 0.0302677 + 0.0368813i 0.787924 0.615772i \(-0.211156\pi\)
−0.757657 + 0.652653i \(0.773656\pi\)
\(80\) 4.25785 5.27398i 0.476042 0.589649i
\(81\) −8.57956 7.04106i −0.953284 0.782340i
\(82\) 6.33531 + 10.3773i 0.699618 + 1.14598i
\(83\) −16.4094 + 2.02391i −1.80116 + 0.222152i −0.952026 0.306017i \(-0.901004\pi\)
−0.849139 + 0.528170i \(0.822879\pi\)
\(84\) −6.93910 + 16.3688i −0.757118 + 1.78599i
\(85\) −1.75609 10.1206i −0.190475 1.09773i
\(86\) 5.72447 + 4.85723i 0.617286 + 0.523769i
\(87\) 14.9653 + 2.21989i 1.60444 + 0.237997i
\(88\) −10.2430 + 12.4782i −1.09191 + 1.33018i
\(89\) 1.15612 4.61549i 0.122548 0.489241i −0.877406 0.479748i \(-0.840728\pi\)
0.999955 0.00949320i \(-0.00302182\pi\)
\(90\) 1.94365 + 1.82057i 0.204879 + 0.191904i
\(91\) 4.34077 + 5.56219i 0.455037 + 0.583076i
\(92\) −0.395051 6.03440i −0.0411870 0.629130i
\(93\) −7.20557 + 3.19401i −0.747183 + 0.331204i
\(94\) 4.79860 0.0390755i 0.494938 0.00403034i
\(95\) −2.20580 11.0893i −0.226310 1.13774i
\(96\) 6.68280 9.32207i 0.682061 0.951429i
\(97\) −0.0305978 + 0.153825i −0.00310673 + 0.0156186i −0.982308 0.187275i \(-0.940035\pi\)
0.979201 + 0.202893i \(0.0650345\pi\)
\(98\) 3.23360 16.9778i 0.326643 1.71502i
\(99\) −4.59378 4.37364i −0.461692 0.439567i
\(100\) −2.90980 3.10724i −0.290980 0.310724i
\(101\) −5.65296 + 1.56438i −0.562490 + 0.155662i −0.536349 0.843996i \(-0.680197\pi\)
−0.0261413 + 0.999658i \(0.508322\pi\)
\(102\) −3.94636 16.9279i −0.390748 1.67612i
\(103\) 0.247342 + 1.66745i 0.0243714 + 0.164298i 0.997945 0.0640744i \(-0.0204095\pi\)
−0.973574 + 0.228373i \(0.926660\pi\)
\(104\) −1.94569 4.11503i −0.190790 0.403512i
\(105\) −12.9205 7.74427i −1.26091 0.755763i
\(106\) 0.455779 3.96055i 0.0442691 0.384683i
\(107\) 15.4434 9.77941i 1.49297 0.945411i 0.495940 0.868357i \(-0.334824\pi\)
0.997027 0.0770539i \(-0.0245514\pi\)
\(108\) −5.88037 4.90771i −0.565839 0.472245i
\(109\) −2.80612 + 10.1400i −0.268778 + 0.971239i 0.698100 + 0.716000i \(0.254029\pi\)
−0.966878 + 0.255238i \(0.917846\pi\)
\(110\) −9.26801 10.0598i −0.883670 0.959167i
\(111\) −8.67770 2.63235i −0.823650 0.249852i
\(112\) −6.97765 + 16.0887i −0.659326 + 1.52024i
\(113\) −3.09802 10.2128i −0.291438 0.960741i −0.973353 0.229310i \(-0.926353\pi\)
0.681916 0.731431i \(-0.261147\pi\)
\(114\) −4.79986 18.5209i −0.449548 1.73465i
\(115\) 5.10987 + 0.376927i 0.476498 + 0.0351486i
\(116\) 14.7428 + 2.31146i 1.36883 + 0.214614i
\(117\) 1.66856 0.643633i 0.154258 0.0595039i
\(118\) 4.51175 + 4.66223i 0.415341 + 0.429193i
\(119\) 11.3625 + 24.0239i 1.04159 + 2.20227i
\(120\) 7.03765 + 6.70194i 0.642447 + 0.611801i
\(121\) 14.4909 + 15.9882i 1.31735 + 1.45348i
\(122\) 1.71723 + 13.0475i 0.155471 + 1.18127i
\(123\) −15.5706 + 7.83758i −1.40395 + 0.706691i
\(124\) −7.13317 + 3.09169i −0.640577 + 0.277642i
\(125\) 9.87610 6.95554i 0.883345 0.622122i
\(126\) −6.10274 3.19837i −0.543675 0.284933i
\(127\) −14.3094 14.3094i −1.26975 1.26975i −0.946215 0.323538i \(-0.895128\pi\)
−0.323538 0.946215i \(-0.604872\pi\)
\(128\) 6.66745 9.14030i 0.589325 0.807896i
\(129\) −7.61119 + 7.61119i −0.670128 + 0.670128i
\(130\) 3.68136 1.14955i 0.322876 0.100822i
\(131\) −0.442694 0.628578i −0.0386784 0.0549191i 0.797784 0.602943i \(-0.206005\pi\)
−0.836463 + 0.548024i \(0.815380\pi\)
\(132\) −16.6312 16.0982i −1.44756 1.40116i
\(133\) 13.1522 + 26.1290i 1.14044 + 2.26567i
\(134\) −4.15433 + 5.41360i −0.358880 + 0.467664i
\(135\) 4.80842 4.35809i 0.413843 0.375085i
\(136\) −3.75457 16.7289i −0.321952 1.43449i
\(137\) 7.52502 3.55907i 0.642905 0.304072i −0.0781577 0.996941i \(-0.524904\pi\)
0.721063 + 0.692869i \(0.243654\pi\)
\(138\) 8.66917 + 0.142194i 0.737969 + 0.0121043i
\(139\) −2.67147 6.92553i −0.226591 0.587415i 0.772262 0.635305i \(-0.219126\pi\)
−0.998853 + 0.0478893i \(0.984751\pi\)
\(140\) −12.6810 7.74373i −1.07174 0.654465i
\(141\) −0.506141 + 6.86158i −0.0426247 + 0.577849i
\(142\) 0.0107127 0.0182077i 0.000898989 0.00152795i
\(143\) −8.78999 + 2.66641i −0.735056 + 0.222977i
\(144\) 3.38907 + 2.87630i 0.282422 + 0.239692i
\(145\) −3.67030 + 12.0994i −0.304802 + 1.00480i
\(146\) 4.31488 + 0.176769i 0.357102 + 0.0146295i
\(147\) 23.8819 + 6.60900i 1.96974 + 0.545101i
\(148\) −8.53772 2.66708i −0.701797 0.219232i
\(149\) 2.13094 + 3.36512i 0.174573 + 0.275682i 0.920820 0.389988i \(-0.127521\pi\)
−0.746246 + 0.665670i \(0.768146\pi\)
\(150\) 4.78089 3.79408i 0.390358 0.309786i
\(151\) −7.99710 + 13.3423i −0.650794 + 1.08578i 0.338656 + 0.940910i \(0.390028\pi\)
−0.989450 + 0.144875i \(0.953722\pi\)
\(152\) −4.58344 18.3071i −0.371766 1.48490i
\(153\) 6.66327 0.988403i 0.538694 0.0799077i
\(154\) 30.0514 + 18.6888i 2.42161 + 1.50598i
\(155\) −1.75685 6.34842i −0.141113 0.509918i
\(156\) 6.10807 2.29838i 0.489037 0.184018i
\(157\) 16.4651 17.2939i 1.31406 1.38020i 0.437270 0.899330i \(-0.355945\pi\)
0.876791 0.480872i \(-0.159680\pi\)
\(158\) −0.495920 + 0.337236i −0.0394533 + 0.0268291i
\(159\) 5.60609 + 1.11512i 0.444592 + 0.0884348i
\(160\) 6.88693 + 6.66772i 0.544460 + 0.527130i
\(161\) −13.0015 + 2.58616i −1.02466 + 0.203818i
\(162\) 11.0081 11.1889i 0.864882 0.879083i
\(163\) −3.45230 7.78827i −0.270405 0.610024i 0.726625 0.687034i \(-0.241088\pi\)
−0.997030 + 0.0770097i \(0.975463\pi\)
\(164\) −15.4218 + 7.60370i −1.20424 + 0.593749i
\(165\) 15.4605 12.0655i 1.20360 0.939296i
\(166\) −0.764150 23.3697i −0.0593095 1.81384i
\(167\) 4.69871 + 1.17697i 0.363597 + 0.0910764i 0.420473 0.907305i \(-0.361864\pi\)
−0.0568762 + 0.998381i \(0.518114\pi\)
\(168\) −22.1729 11.8550i −1.71068 0.914630i
\(169\) −1.52748 + 10.2974i −0.117498 + 0.792110i
\(170\) 14.4780 1.18657i 1.11041 0.0910060i
\(171\) 7.30559 1.26764i 0.558672 0.0969388i
\(172\) −7.56922 + 7.44523i −0.577148 + 0.567694i
\(173\) 2.99836 + 24.3100i 0.227961 + 1.84826i 0.475921 + 0.879488i \(0.342115\pi\)
−0.247960 + 0.968770i \(0.579760\pi\)
\(174\) −5.02955 + 20.7961i −0.381289 + 1.57655i
\(175\) −5.91994 + 7.21346i −0.447505 + 0.545287i
\(176\) −16.2729 16.0137i −1.22662 1.20708i
\(177\) −7.19051 + 5.90110i −0.540472 + 0.443554i
\(178\) 6.35385 + 2.21525i 0.476241 + 0.166040i
\(179\) −10.6066 5.33889i −0.792772 0.399048i 0.00652932 0.999979i \(-0.497922\pi\)
−0.799301 + 0.600931i \(0.794797\pi\)
\(180\) −2.81138 + 2.50611i −0.209548 + 0.186795i
\(181\) −9.54257 + 9.08528i −0.709293 + 0.675303i −0.955860 0.293822i \(-0.905073\pi\)
0.246567 + 0.969126i \(0.420698\pi\)
\(182\) −8.38620 + 5.40667i −0.621627 + 0.400769i
\(183\) −18.8455 + 0.925818i −1.39310 + 0.0684385i
\(184\) 8.54960 + 0.210864i 0.630285 + 0.0155451i
\(185\) 3.24025 6.85094i 0.238228 0.503691i
\(186\) −3.58251 10.5551i −0.262683 0.773936i
\(187\) −34.5046 + 2.54521i −2.52322 + 0.186124i
\(188\) −0.555116 + 6.76374i −0.0404860 + 0.493296i
\(189\) −8.98248 + 14.1849i −0.653379 + 1.03180i
\(190\) 15.8996 1.69681i 1.15348 0.123099i
\(191\) 5.27467 2.18484i 0.381662 0.158090i −0.183600 0.983001i \(-0.558775\pi\)
0.565262 + 0.824912i \(0.308775\pi\)
\(192\) 12.2803 + 10.5980i 0.886252 + 0.764841i
\(193\) −0.489517 0.202765i −0.0352362 0.0145953i 0.364996 0.931009i \(-0.381070\pi\)
−0.400232 + 0.916414i \(0.631070\pi\)
\(194\) −0.212770 0.0626558i −0.0152760 0.00449842i
\(195\) 1.21152 + 5.39513i 0.0867586 + 0.386353i
\(196\) 23.5018 + 6.71325i 1.67870 + 0.479518i
\(197\) 5.99738 + 5.17338i 0.427296 + 0.368588i 0.840282 0.542149i \(-0.182389\pi\)
−0.412986 + 0.910737i \(0.635514\pi\)
\(198\) 6.74432 5.91415i 0.479298 0.420300i
\(199\) 2.22944 + 6.23086i 0.158041 + 0.441694i 0.994297 0.106644i \(-0.0340106\pi\)
−0.836257 + 0.548338i \(0.815261\pi\)
\(200\) 4.74649 3.70332i 0.335627 0.261864i
\(201\) −7.24929 6.57037i −0.511325 0.463438i
\(202\) −1.48463 8.16103i −0.104458 0.574208i
\(203\) 0.802797 32.7023i 0.0563453 2.29525i
\(204\) 24.3445 3.40596i 1.70446 0.238465i
\(205\) −4.56984 13.8331i −0.319172 0.966146i
\(206\) −2.38002 + 0.136358i −0.165824 + 0.00950054i
\(207\) −0.329349 + 3.34393i −0.0228913 + 0.232419i
\(208\) 6.04336 2.21724i 0.419032 0.153738i
\(209\) −37.9002 + 3.73284i −2.62161 + 0.258206i
\(210\) 12.5506 17.2137i 0.866072 1.18786i
\(211\) 21.7366 + 16.9634i 1.49641 + 1.16781i 0.942022 + 0.335552i \(0.108923\pi\)
0.554389 + 0.832258i \(0.312952\pi\)
\(212\) 5.52043 + 1.14555i 0.379145 + 0.0786768i
\(213\) 0.0247634 + 0.0174403i 0.00169676 + 0.00119499i
\(214\) 11.8105 + 22.9952i 0.807349 + 1.57192i
\(215\) −5.35873 7.22541i −0.365462 0.492769i
\(216\) 7.66015 7.65839i 0.521207 0.521087i
\(217\) 8.76136 + 14.6174i 0.594760 + 0.992297i
\(218\) −13.9253 5.24171i −0.943139 0.355014i
\(219\) −0.757923 + 6.14508i −0.0512157 + 0.415246i
\(220\) 15.3476 11.7747i 1.03473 0.793853i
\(221\) 3.51083 9.10149i 0.236164 0.612233i
\(222\) 4.81102 11.8877i 0.322894 0.797850i
\(223\) 11.2659 16.8606i 0.754422 1.12907i −0.233232 0.972421i \(-0.574930\pi\)
0.987654 0.156651i \(-0.0500698\pi\)
\(224\) −21.7735 11.8736i −1.45480 0.793341i
\(225\) 1.31411 + 1.96670i 0.0876073 + 0.131114i
\(226\) 14.7785 3.06494i 0.983053 0.203877i
\(227\) −0.224295 9.13677i −0.0148870 0.606429i −0.960050 0.279829i \(-0.909722\pi\)
0.945163 0.326599i \(-0.105903\pi\)
\(228\) 26.6968 4.40556i 1.76804 0.291765i
\(229\) 4.43446 7.82792i 0.293037 0.517283i −0.684237 0.729259i \(-0.739865\pi\)
0.977275 + 0.211976i \(0.0679898\pi\)
\(230\) −1.18063 + 7.14925i −0.0778483 + 0.471408i
\(231\) −30.2249 + 40.7535i −1.98865 + 2.68139i
\(232\) −5.13023 + 20.4711i −0.336816 + 1.34399i
\(233\) −7.76521 + 1.94508i −0.508716 + 0.127427i −0.488836 0.872376i \(-0.662578\pi\)
−0.0198798 + 0.999802i \(0.506328\pi\)
\(234\) 0.694387 + 2.43198i 0.0453935 + 0.158983i
\(235\) −5.61031 1.25984i −0.365976 0.0821827i
\(236\) −7.14036 + 5.76193i −0.464798 + 0.375070i
\(237\) −0.423818 0.748144i −0.0275299 0.0485971i
\(238\) −35.2821 + 12.9492i −2.28700 + 0.839369i
\(239\) −3.35370 6.27434i −0.216933 0.405853i 0.749791 0.661675i \(-0.230154\pi\)
−0.966724 + 0.255822i \(0.917654\pi\)
\(240\) −10.3344 + 9.06026i −0.667085 + 0.584837i
\(241\) 1.88351 + 1.00676i 0.121328 + 0.0648511i 0.530944 0.847407i \(-0.321837\pi\)
−0.409616 + 0.912258i \(0.634337\pi\)
\(242\) −24.3618 + 18.3773i −1.56603 + 1.18134i
\(243\) 7.19504 + 8.34105i 0.461562 + 0.535079i
\(244\) −18.5956 + 0.759672i −1.19046 + 0.0486330i
\(245\) −8.39214 + 18.9324i −0.536154 + 1.20954i
\(246\) −9.05929 22.9275i −0.577599 1.46181i
\(247\) 3.61747 10.1101i 0.230174 0.643293i
\(248\) −3.44761 10.4401i −0.218923 0.662946i
\(249\) 33.4839 + 1.64496i 2.12195 + 0.104245i
\(250\) 8.54100 + 14.7948i 0.540181 + 0.935703i
\(251\) 0.847825 + 0.280083i 0.0535142 + 0.0176787i 0.340314 0.940312i \(-0.389467\pi\)
−0.286800 + 0.957990i \(0.592592\pi\)
\(252\) 5.28083 8.18894i 0.332661 0.515855i
\(253\) 2.95049 17.0041i 0.185496 1.06904i
\(254\) 21.9741 18.3351i 1.37877 1.15045i
\(255\) 20.8275i 1.30427i
\(256\) 12.0262 + 10.5532i 0.751638 + 0.659576i
\(257\) 28.9612i 1.80655i 0.429061 + 0.903275i \(0.358844\pi\)
−0.429061 + 0.903275i \(0.641156\pi\)
\(258\) −9.75247 11.6880i −0.607162 0.727665i
\(259\) −3.35211 + 19.3187i −0.208290 + 1.20040i
\(260\) 1.15102 + 5.33131i 0.0713835 + 0.330634i
\(261\) −7.87320 2.60095i −0.487339 0.160995i
\(262\) 0.941632 0.543604i 0.0581742 0.0335839i
\(263\) 30.8374 + 1.51494i 1.90152 + 0.0934154i 0.965792 0.259319i \(-0.0834981\pi\)
0.935723 + 0.352734i \(0.114748\pi\)
\(264\) 24.7887 21.3779i 1.52564 1.31572i
\(265\) −1.60931 + 4.49773i −0.0988594 + 0.276293i
\(266\) −38.4747 + 15.2024i −2.35903 + 0.932118i
\(267\) −3.90961 + 8.81995i −0.239265 + 0.539772i
\(268\) −7.09675 6.53967i −0.433503 0.399474i
\(269\) 4.80317 + 5.56820i 0.292854 + 0.339499i 0.884364 0.466799i \(-0.154593\pi\)
−0.591509 + 0.806298i \(0.701468\pi\)
\(270\) 5.52691 + 7.32673i 0.336357 + 0.445890i
\(271\) 14.7055 + 7.86027i 0.893297 + 0.477477i 0.853120 0.521715i \(-0.174708\pi\)
0.0401775 + 0.999193i \(0.487208\pi\)
\(272\) 24.0398 3.16115i 1.45762 0.191673i
\(273\) −6.74378 12.6167i −0.408152 0.763599i
\(274\) 4.05607 + 11.0514i 0.245036 + 0.667641i
\(275\) −5.98812 10.5705i −0.361097 0.637426i
\(276\) −1.30258 + 12.1923i −0.0784063 + 0.733892i
\(277\) −7.15395 1.60647i −0.429839 0.0965236i −0.00119970 0.999999i \(-0.500382\pi\)
−0.428639 + 0.903476i \(0.641007\pi\)
\(278\) 10.0942 2.88213i 0.605409 0.172859i
\(279\) 4.19026 1.04961i 0.250864 0.0628383i
\(280\) 12.5193 16.8763i 0.748174 1.00855i
\(281\) 14.4552 19.4906i 0.862324 1.16271i −0.123067 0.992398i \(-0.539273\pi\)
0.985390 0.170311i \(-0.0544771\pi\)
\(282\) −9.60008 1.58536i −0.571677 0.0944067i
\(283\) −9.34135 + 16.4898i −0.555286 + 0.980217i 0.441277 + 0.897371i \(0.354526\pi\)
−0.996562 + 0.0828455i \(0.973599\pi\)
\(284\) 0.0242831 + 0.0174038i 0.00144094 + 0.00103273i
\(285\) 0.562620 + 22.9186i 0.0333267 + 1.35758i
\(286\) −2.63794 12.7196i −0.155985 0.752127i
\(287\) 20.9403 + 31.3394i 1.23607 + 1.84990i
\(288\) −4.48216 + 4.40772i −0.264114 + 0.259728i
\(289\) 10.9691 16.4165i 0.645244 0.965676i
\(290\) −16.5751 6.70803i −0.973323 0.393909i
\(291\) 0.114451 0.296702i 0.00670922 0.0173930i
\(292\) −0.797624 + 6.05497i −0.0466774 + 0.354340i
\(293\) −0.766816 + 6.21718i −0.0447979 + 0.363211i 0.953324 + 0.301950i \(0.0976375\pi\)
−0.998122 + 0.0612618i \(0.980488\pi\)
\(294\) −12.3453 + 32.7969i −0.719994 + 1.91276i
\(295\) −3.99661 6.66794i −0.232691 0.388222i
\(296\) 4.84213 11.6861i 0.281443 0.679243i
\(297\) −13.0211 17.5569i −0.755559 1.01875i
\(298\) −5.01068 + 2.57352i −0.290261 + 0.149080i
\(299\) 3.97839 + 2.80190i 0.230076 + 0.162038i
\(300\) 4.73601 + 7.21624i 0.273434 + 0.416630i
\(301\) 18.3478 + 14.3187i 1.05755 + 0.825319i
\(302\) −17.7757 12.9603i −1.02287 0.745782i
\(303\) 11.8356 1.16571i 0.679939 0.0669682i
\(304\) 26.3680 4.12793i 1.51231 0.236753i
\(305\) 1.54561 15.6928i 0.0885013 0.898568i
\(306\) 0.544901 + 9.51081i 0.0311499 + 0.543697i
\(307\) −10.0877 30.5359i −0.575735 1.74277i −0.665079 0.746773i \(-0.731602\pi\)
0.0893438 0.996001i \(-0.471523\pi\)
\(308\) −30.1440 + 39.9507i −1.71761 + 2.27640i
\(309\) 0.0838808 3.41692i 0.00477181 0.194382i
\(310\) 9.16505 1.66728i 0.520540 0.0946949i
\(311\) 2.03080 + 1.84061i 0.115156 + 0.104371i 0.727106 0.686525i \(-0.240865\pi\)
−0.611950 + 0.790896i \(0.709615\pi\)
\(312\) 2.46058 + 8.89538i 0.139303 + 0.503602i
\(313\) −7.19177 20.0997i −0.406503 1.13610i −0.954134 0.299380i \(-0.903220\pi\)
0.547631 0.836720i \(-0.315530\pi\)
\(314\) 22.2646 + 25.3899i 1.25646 + 1.43283i
\(315\) 6.25143 + 5.39252i 0.352228 + 0.303834i
\(316\) −0.411935 0.741377i −0.0231732 0.0417057i
\(317\) 4.07077 + 18.1280i 0.228637 + 1.01817i 0.946681 + 0.322171i \(0.104413\pi\)
−0.718044 + 0.695998i \(0.754962\pi\)
\(318\) −2.28346 + 7.75430i −0.128050 + 0.434840i
\(319\) 39.3459 + 16.2976i 2.20295 + 0.912491i
\(320\) −10.2671 + 8.85233i −0.573947 + 0.494860i
\(321\) −34.2424 + 14.1837i −1.91122 + 0.791655i
\(322\) −1.98940 18.6413i −0.110865 1.03884i
\(323\) 21.6381 34.1704i 1.20398 1.90129i
\(324\) 14.3597 + 16.9275i 0.797761 + 0.940417i
\(325\) 3.41613 0.251989i 0.189493 0.0139778i
\(326\) 11.4086 3.87222i 0.631866 0.214463i
\(327\) 9.12102 19.2848i 0.504393 1.06645i
\(328\) −8.74879 22.6882i −0.483071 1.25274i
\(329\) 14.8586 0.729956i 0.819181 0.0402438i
\(330\) 15.0282 + 23.3100i 0.827276 + 1.28317i
\(331\) −12.0315 + 11.4550i −0.661312 + 0.629622i −0.944138 0.329549i \(-0.893103\pi\)
0.282826 + 0.959171i \(0.408728\pi\)
\(332\) 33.0131 + 1.89522i 1.81183 + 0.104014i
\(333\) 4.43928 + 2.23455i 0.243271 + 0.122452i
\(334\) −2.25519 + 6.46841i −0.123399 + 0.353936i
\(335\) 6.32060 5.18718i 0.345331 0.283406i
\(336\) 19.5169 29.7229i 1.06473 1.62152i
\(337\) −6.89416 + 8.40056i −0.375549 + 0.457608i −0.926147 0.377163i \(-0.876900\pi\)
0.550598 + 0.834770i \(0.314400\pi\)
\(338\) −14.3096 3.46077i −0.778337 0.188241i
\(339\) 2.64892 + 21.4768i 0.143869 + 1.16646i
\(340\) −0.169644 + 20.5430i −0.00920026 + 1.11410i
\(341\) −21.8603 + 3.79311i −1.18380 + 0.205409i
\(342\) 0.856530 + 10.4510i 0.0463158 + 0.565125i
\(343\) 3.35857 22.6416i 0.181346 1.22253i
\(344\) −9.52406 11.6078i −0.513503 0.625852i
\(345\) −10.0777 2.52434i −0.542566 0.135906i
\(346\) −34.6216 + 1.13207i −1.86127 + 0.0608602i
\(347\) −12.2378 + 9.55049i −0.656960 + 0.512697i −0.887761 0.460304i \(-0.847740\pi\)
0.230801 + 0.973001i \(0.425865\pi\)
\(348\) −28.6515 9.72831i −1.53588 0.521492i
\(349\) −0.623443 1.40647i −0.0333722 0.0752864i 0.896748 0.442541i \(-0.145923\pi\)
−0.930121 + 0.367254i \(0.880298\pi\)
\(350\) −9.40733 9.25535i −0.502843 0.494719i
\(351\) 6.04467 1.20236i 0.322641 0.0641772i
\(352\) 24.6243 20.8840i 1.31248 1.11312i
\(353\) 21.4413 + 4.26494i 1.14121 + 0.227000i 0.729278 0.684217i \(-0.239856\pi\)
0.411927 + 0.911217i \(0.364856\pi\)
\(354\) −7.39733 10.8781i −0.393163 0.578163i
\(355\) −0.0174544 + 0.0183329i −0.000926381 + 0.000973009i
\(356\) −3.92805 + 8.66763i −0.208186 + 0.459384i
\(357\) −14.3718 51.9331i −0.760638 2.74859i
\(358\) 8.86841 14.2603i 0.468710 0.753682i
\(359\) 12.8548 1.90683i 0.678451 0.100639i 0.201393 0.979511i \(-0.435453\pi\)
0.477058 + 0.878872i \(0.341703\pi\)
\(360\) −3.17235 4.27845i −0.167198 0.225494i
\(361\) 13.1197 21.8889i 0.690509 1.15204i
\(362\) −11.5831 14.5958i −0.608796 0.767137i
\(363\) −23.4073 36.9641i −1.22856 1.94011i
\(364\) −6.54890 12.4993i −0.343256 0.655142i
\(365\) −4.98711 1.38012i −0.261037 0.0722388i
\(366\) 1.09224 26.6613i 0.0570924 1.39361i
\(367\) −0.877946 + 2.89420i −0.0458284 + 0.151076i −0.976869 0.213841i \(-0.931403\pi\)
0.931040 + 0.364917i \(0.118903\pi\)
\(368\) −1.38410 + 12.0152i −0.0721512 + 0.626335i
\(369\) 9.14245 2.77333i 0.475937 0.144374i
\(370\) 9.23744 + 5.43496i 0.480232 + 0.282550i
\(371\) 0.909187 12.3256i 0.0472027 0.639911i
\(372\) 15.3222 3.70382i 0.794419 0.192034i
\(373\) −2.08574 5.40707i −0.107995 0.279968i 0.868434 0.495805i \(-0.165127\pi\)
−0.976429 + 0.215837i \(0.930752\pi\)
\(374\) 0.802444 48.9228i 0.0414934 2.52974i
\(375\) −22.1414 + 10.4721i −1.14337 + 0.540776i
\(376\) −9.45604 1.64190i −0.487658 0.0846744i
\(377\) −8.89720 + 8.06395i −0.458229 + 0.415314i
\(378\) −18.8371 14.4553i −0.968874 0.743502i
\(379\) −5.92386 11.7687i −0.304288 0.604517i 0.688385 0.725345i \(-0.258320\pi\)
−0.992673 + 0.120829i \(0.961445\pi\)
\(380\) 0.368258 + 22.6101i 0.0188912 + 1.15988i
\(381\) 23.6267 + 33.5473i 1.21043 + 1.71868i
\(382\) 2.40663 + 7.70711i 0.123134 + 0.394330i
\(383\) 9.06372 9.06372i 0.463134 0.463134i −0.436547 0.899681i \(-0.643799\pi\)
0.899681 + 0.436547i \(0.143799\pi\)
\(384\) −16.4885 + 15.9490i −0.841427 + 0.813895i
\(385\) −29.9840 29.9840i −1.52813 1.52813i
\(386\) 0.347834 0.663696i 0.0177043 0.0337812i
\(387\) 4.82318 3.39686i 0.245176 0.172672i
\(388\) 0.115304 0.291717i 0.00585368 0.0148097i
\(389\) 14.6766 7.38756i 0.744131 0.374564i −0.0366833 0.999327i \(-0.511679\pi\)
0.780815 + 0.624763i \(0.214804\pi\)
\(390\) −7.75302 + 1.02040i −0.392589 + 0.0516701i
\(391\) 12.3086 + 13.5805i 0.622475 + 0.686795i
\(392\) −12.4438 + 32.2484i −0.628508 + 1.62879i
\(393\) 0.666510 + 1.40922i 0.0336210 + 0.0710856i
\(394\) −8.04921 + 7.78942i −0.405513 + 0.392425i
\(395\) 0.670452 0.258622i 0.0337341 0.0130127i
\(396\) 7.47244 + 10.2513i 0.375504 + 0.515146i
\(397\) 11.8085 + 0.871045i 0.592650 + 0.0437165i 0.366567 0.930392i \(-0.380533\pi\)
0.226083 + 0.974108i \(0.427408\pi\)
\(398\) −9.05955 + 2.34786i −0.454114 + 0.117688i
\(399\) −17.2177 56.7591i −0.861962 2.84151i
\(400\) 4.61254 + 7.15625i 0.230627 + 0.357812i
\(401\) 1.09186 + 0.331211i 0.0545247 + 0.0165399i 0.317429 0.948282i \(-0.397180\pi\)
−0.262905 + 0.964822i \(0.584680\pi\)
\(402\) 10.1760 9.37508i 0.507535 0.467587i
\(403\) 1.66848 6.02909i 0.0831127 0.300331i
\(404\) 11.6835 1.05338i 0.581274 0.0524077i
\(405\) −15.8897 + 10.0621i −0.789567 + 0.499988i
\(406\) 45.9587 + 5.28890i 2.28089 + 0.262484i
\(407\) −21.8949 13.1233i −1.08529 0.650498i
\(408\) 1.70178 + 34.7220i 0.0842509 + 1.71900i
\(409\) −0.0495438 0.333997i −0.00244979 0.0165151i 0.987917 0.154983i \(-0.0495323\pi\)
−0.990367 + 0.138468i \(0.955782\pi\)
\(410\) 20.0648 4.67765i 0.990930 0.231012i
\(411\) −16.2670 + 4.50170i −0.802394 + 0.222052i
\(412\) 0.110567 3.36957i 0.00544723 0.166007i
\(413\) 14.5667 + 13.8686i 0.716779 + 0.682430i
\(414\) −4.66801 0.889072i −0.229420 0.0436955i
\(415\) −5.46590 + 27.4790i −0.268311 + 1.34889i
\(416\) 2.35452 + 8.79392i 0.115440 + 0.431157i
\(417\) 2.93629 + 14.7617i 0.143791 + 0.722884i
\(418\) −0.438559 53.8565i −0.0214506 2.63421i
\(419\) 14.0092 6.20984i 0.684393 0.303371i −0.0335855 0.999436i \(-0.510693\pi\)
0.717978 + 0.696065i \(0.245068\pi\)
\(420\) 22.6494 + 19.8661i 1.10518 + 0.969364i
\(421\) −15.9412 20.4267i −0.776925 0.995538i −0.999786 0.0206875i \(-0.993414\pi\)
0.222861 0.974850i \(-0.428461\pi\)
\(422\) −26.6566 + 28.4588i −1.29762 + 1.38535i
\(423\) 0.916234 3.65781i 0.0445488 0.177849i
\(424\) −2.31543 + 7.62979i −0.112447 + 0.370535i
\(425\) 12.7626 + 1.89315i 0.619075 + 0.0918312i
\(426\) −0.0277132 + 0.0326613i −0.00134271 + 0.00158244i
\(427\) 6.97475 + 40.1965i 0.337532 + 1.94524i
\(428\) −33.8902 + 13.7110i −1.63814 + 0.662747i
\(429\) 18.4847 2.27988i 0.892452 0.110073i
\(430\) 10.8583 6.62897i 0.523632 0.319677i
\(431\) −5.16956 4.24255i −0.249009 0.204357i 0.501606 0.865096i \(-0.332743\pi\)
−0.750615 + 0.660740i \(0.770243\pi\)
\(432\) 9.81272 + 11.7630i 0.472115 + 0.565947i
\(433\) 5.11702 + 6.23511i 0.245908 + 0.299640i 0.881307 0.472544i \(-0.156664\pi\)
−0.635399 + 0.772184i \(0.719164\pi\)
\(434\) −21.7025 + 10.4816i −1.04175 + 0.503133i
\(435\) 11.5266 22.8995i 0.552660 1.09795i
\(436\) 9.15351 18.9471i 0.438374 0.907400i
\(437\) 13.9113 + 14.6115i 0.665468 + 0.698963i
\(438\) −8.55889 1.84889i −0.408959 0.0883432i
\(439\) −1.12760 22.9528i −0.0538173 1.09548i −0.862118 0.506707i \(-0.830862\pi\)
0.808301 0.588770i \(-0.200388\pi\)
\(440\) 14.6331 + 23.1140i 0.697604 + 1.10192i
\(441\) −12.2769 5.80653i −0.584614 0.276502i
\(442\) 12.3729 + 6.10223i 0.588519 + 0.290254i
\(443\) −1.44630 19.6070i −0.0687156 0.931555i −0.916197 0.400729i \(-0.868757\pi\)
0.847481 0.530826i \(-0.178118\pi\)
\(444\) 16.1319 + 8.28780i 0.765587 + 0.393321i
\(445\) −6.81191 4.31359i −0.322915 0.204484i
\(446\) 22.3155 + 18.0118i 1.05667 + 0.852882i
\(447\) −3.09063 7.46145i −0.146182 0.352914i
\(448\) 19.4924 29.1579i 0.920929 1.37758i
\(449\) −6.88001 + 16.6098i −0.324688 + 0.783866i 0.674281 + 0.738475i \(0.264454\pi\)
−0.998969 + 0.0453914i \(0.985546\pi\)
\(450\) −2.93717 + 1.60083i −0.138459 + 0.0754640i
\(451\) −47.8780 + 10.7514i −2.25449 + 0.506262i
\(452\) 2.43780 + 21.2051i 0.114664 + 0.997402i
\(453\) 20.6015 23.8829i 0.967943 1.12211i
\(454\) 12.8975 + 0.845845i 0.605311 + 0.0396975i
\(455\) 11.2570 4.02784i 0.527738 0.188828i
\(456\) 2.81061 + 38.1622i 0.131619 + 1.78711i
\(457\) −10.9235 + 12.0522i −0.510980 + 0.563780i −0.940725 0.339171i \(-0.889854\pi\)
0.429745 + 0.902950i \(0.358604\pi\)
\(458\) 10.4617 + 7.24121i 0.488841 + 0.338360i
\(459\) 23.2070 + 0.569700i 1.08321 + 0.0265913i
\(460\) −9.91950 2.57194i −0.462499 0.119917i
\(461\) −31.0351 + 10.2526i −1.44545 + 0.477512i −0.926175 0.377094i \(-0.876923\pi\)
−0.519276 + 0.854607i \(0.673798\pi\)
\(462\) −53.5576 47.7532i −2.49173 2.22168i
\(463\) −17.5608 1.72959i −0.816122 0.0803810i −0.318662 0.947868i \(-0.603234\pi\)
−0.497459 + 0.867487i \(0.665734\pi\)
\(464\) −28.1809 9.82881i −1.30826 0.456291i
\(465\) 1.30912 + 13.2917i 0.0607091 + 0.616389i
\(466\) −1.75226 11.1845i −0.0811718 0.518112i
\(467\) −24.1253 + 30.9137i −1.11639 + 1.43052i −0.226688 + 0.973968i \(0.572790\pi\)
−0.889698 + 0.456549i \(0.849085\pi\)
\(468\) −3.51370 + 0.668803i −0.162421 + 0.0309154i
\(469\) −12.1810 + 17.2957i −0.562466 + 0.798640i
\(470\) 2.48783 7.74185i 0.114755 0.357105i
\(471\) −38.8885 + 28.8417i −1.79189 + 1.32896i
\(472\) −7.20768 10.7897i −0.331760 0.496638i
\(473\) −25.9891 + 15.5773i −1.19498 + 0.716244i
\(474\) 1.10764 0.501814i 0.0508755 0.0230491i
\(475\) 14.0951 + 1.73847i 0.646728 + 0.0797663i
\(476\) −13.7525 51.3408i −0.630345 2.35320i
\(477\) −2.92279 1.12744i −0.133825 0.0516221i
\(478\) 9.26374 3.92585i 0.423714 0.179564i
\(479\) −26.9670 18.0188i −1.23215 0.823299i −0.242978 0.970032i \(-0.578124\pi\)
−0.989176 + 0.146733i \(0.953124\pi\)
\(480\) −11.4472 15.7080i −0.522491 0.716967i
\(481\) 5.98438 3.99863i 0.272864 0.182322i
\(482\) −1.65750 + 2.52489i −0.0754970 + 0.115006i
\(483\) 26.8706 0.659636i 1.22265 0.0300145i
\(484\) −22.7865 36.6499i −1.03575 1.66590i
\(485\) 0.231245 + 0.130999i 0.0105003 + 0.00594834i
\(486\) −12.6631 + 9.07353i −0.574411 + 0.411583i
\(487\) 20.5224 + 15.2204i 0.929957 + 0.689703i 0.950710 0.310082i \(-0.100356\pi\)
−0.0207532 + 0.999785i \(0.506606\pi\)
\(488\) 1.29449 26.2882i 0.0585986 1.19001i
\(489\) 4.19715 + 16.7560i 0.189802 + 0.757730i
\(490\) −25.5989 14.2275i −1.15644 0.642733i
\(491\) 6.03603 26.8797i 0.272402 1.21306i −0.628072 0.778155i \(-0.716156\pi\)
0.900475 0.434908i \(-0.143219\pi\)
\(492\) 33.4450 9.84459i 1.50782 0.443828i
\(493\) −39.3530 + 22.2932i −1.77237 + 1.00403i
\(494\) 13.7800 + 6.38068i 0.619993 + 0.287080i
\(495\) −9.47913 + 5.06670i −0.426055 + 0.227731i
\(496\) 15.1431 3.52842i 0.679944 0.158431i
\(497\) 0.0308718 0.0577572i 0.00138479 0.00259076i
\(498\) −6.57445 + 46.9524i −0.294608 + 2.10399i
\(499\) −29.3881 + 25.3504i −1.31559 + 1.13484i −0.334270 + 0.942477i \(0.608490\pi\)
−0.981324 + 0.192362i \(0.938385\pi\)
\(500\) −21.9242 + 10.1487i −0.980481 + 0.453863i
\(501\) −8.97898 3.98011i −0.401151 0.177818i
\(502\) −0.502297 + 1.15854i −0.0224186 + 0.0517080i
\(503\) 9.43875 + 3.37724i 0.420853 + 0.150584i 0.538795 0.842437i \(-0.318880\pi\)
−0.117942 + 0.993020i \(0.537630\pi\)
\(504\) 10.8625 + 8.47922i 0.483856 + 0.377694i
\(505\) −0.487697 + 9.92731i −0.0217022 + 0.441759i
\(506\) 23.5749 + 6.31784i 1.04803 + 0.280862i
\(507\) 6.62113 20.0425i 0.294055 0.890117i
\(508\) 23.0307 + 33.2815i 1.02182 + 1.47663i
\(509\) −30.0947 5.22193i −1.33392 0.231458i −0.541126 0.840942i \(-0.682002\pi\)
−0.792799 + 0.609484i \(0.791377\pi\)
\(510\) −29.3352 2.64826i −1.29898 0.117267i
\(511\) 13.3877 0.592235
\(512\) −16.3932 + 15.5969i −0.724485 + 0.689291i
\(513\) 25.5525 1.12817
\(514\) −40.7915 3.68248i −1.79923 0.162427i
\(515\) 2.81444 + 0.488352i 0.124019 + 0.0215193i
\(516\) 17.7025 12.2501i 0.779308 0.539279i
\(517\) −6.07527 + 18.3901i −0.267190 + 0.808796i
\(518\) −26.7838 7.17781i −1.17681 0.315375i
\(519\) 2.43696 49.6054i 0.106971 2.17743i
\(520\) −7.65543 + 0.943314i −0.335713 + 0.0413670i
\(521\) −24.5694 8.79106i −1.07640 0.385143i −0.261776 0.965129i \(-0.584308\pi\)
−0.814627 + 0.579986i \(0.803058\pi\)
\(522\) 4.66450 10.7586i 0.204160 0.470890i
\(523\) −9.89850 4.38770i −0.432831 0.191861i 0.177307 0.984156i \(-0.443261\pi\)
−0.610139 + 0.792295i \(0.708886\pi\)
\(524\) 0.645927 + 1.39540i 0.0282175 + 0.0609582i
\(525\) 14.3272 12.3588i 0.625292 0.539380i
\(526\) −6.05482 + 43.2414i −0.264003 + 1.88541i
\(527\) 11.1074 20.7806i 0.483848 0.905215i
\(528\) 26.9586 + 37.6328i 1.17322 + 1.63776i
\(529\) 12.2212 6.53237i 0.531357 0.284016i
\(530\) −6.13036 2.83859i −0.266286 0.123301i
\(531\) 4.43578 2.51284i 0.192496 0.109048i
\(532\) −16.5202 56.1241i −0.716241 2.43329i
\(533\) 3.03140 13.4994i 0.131304 0.584725i
\(534\) −11.9257 6.62811i −0.516074 0.286827i
\(535\) −7.52639 30.0470i −0.325394 1.29905i
\(536\) 10.1134 9.16414i 0.436832 0.395830i
\(537\) 19.3388 + 14.3426i 0.834532 + 0.618931i
\(538\) −8.45347 + 6.05718i −0.364455 + 0.261144i
\(539\) 60.6916 + 34.3814i 2.61417 + 1.48091i
\(540\) −11.0224 + 6.85297i −0.474326 + 0.294905i
\(541\) −20.3990 + 0.500768i −0.877023 + 0.0215297i −0.460566 0.887626i \(-0.652353\pi\)
−0.416457 + 0.909155i \(0.636728\pi\)
\(542\) −12.9409 + 19.7131i −0.555860 + 0.846749i
\(543\) 22.2133 14.8424i 0.953264 0.636950i
\(544\) 1.39572 + 34.2616i 0.0598410 + 1.46895i
\(545\) 14.8240 + 9.90506i 0.634989 + 0.424286i
\(546\) 18.6280 7.89427i 0.797203 0.337844i
\(547\) −7.65996 2.95477i −0.327516 0.126337i 0.190550 0.981678i \(-0.438973\pi\)
−0.518066 + 0.855341i \(0.673348\pi\)
\(548\) −16.0815 + 4.30771i −0.686968 + 0.184016i
\(549\) 10.2632 + 1.26585i 0.438025 + 0.0540252i
\(550\) 15.6498 7.09012i 0.667311 0.302324i
\(551\) −42.7019 + 25.5945i −1.81916 + 1.09036i
\(552\) −17.0071 3.38495i −0.723870 0.144073i
\(553\) −1.49331 + 1.10751i −0.0635018 + 0.0470962i
\(554\) 3.17233 9.87197i 0.134780 0.419420i
\(555\) −8.84815 + 12.5634i −0.375583 + 0.533287i
\(556\) 2.77594 + 14.5840i 0.117726 + 0.618499i
\(557\) 5.43730 6.96726i 0.230386 0.295212i −0.659212 0.751957i \(-0.729110\pi\)
0.889598 + 0.456745i \(0.150985\pi\)
\(558\) 0.945554 + 6.03539i 0.0400285 + 0.255498i
\(559\) −0.837381 8.50207i −0.0354174 0.359599i
\(560\) 22.1782 + 19.7792i 0.937201 + 0.835823i
\(561\) 69.8147 + 6.87615i 2.94758 + 0.290311i
\(562\) 25.6142 + 22.8382i 1.08047 + 0.963371i
\(563\) 21.1184 6.97658i 0.890035 0.294028i 0.167920 0.985801i \(-0.446295\pi\)
0.722115 + 0.691773i \(0.243170\pi\)
\(564\) 3.45363 13.3200i 0.145424 0.560873i
\(565\) −18.0794 0.443825i −0.760608 0.0186719i
\(566\) −22.0379 15.2539i −0.926321 0.641168i
\(567\) 32.6777 36.0542i 1.37233 1.51414i
\(568\) −0.0276007 + 0.0319894i −0.00115810 + 0.00134225i
\(569\) −10.6789 + 3.82098i −0.447684 + 0.160184i −0.551073 0.834457i \(-0.685781\pi\)
0.103389 + 0.994641i \(0.467031\pi\)
\(570\) −32.3521 2.12171i −1.35508 0.0888687i
\(571\) −8.07594 + 9.36226i −0.337968 + 0.391798i −0.900413 0.435036i \(-0.856736\pi\)
0.562445 + 0.826834i \(0.309861\pi\)
\(572\) 18.2508 2.09817i 0.763105 0.0877290i
\(573\) −11.2950 + 2.53637i −0.471855 + 0.105959i
\(574\) −46.8037 + 25.5092i −1.95355 + 1.06473i
\(575\) −2.46288 + 5.94593i −0.102709 + 0.247962i
\(576\) −5.63830 6.87351i −0.234929 0.286396i
\(577\) −4.76367 11.5005i −0.198314 0.478772i 0.793170 0.609000i \(-0.208429\pi\)
−0.991484 + 0.130228i \(0.958429\pi\)
\(578\) 21.7276 + 17.5373i 0.903751 + 0.729455i
\(579\) 0.907658 + 0.574768i 0.0377210 + 0.0238866i
\(580\) 11.5557 22.4928i 0.479825 0.933964i
\(581\) −5.33245 72.2902i −0.221227 2.99910i
\(582\) 0.403348 + 0.198928i 0.0167193 + 0.00824585i
\(583\) 14.5453 + 6.87942i 0.602405 + 0.284916i
\(584\) −8.42692 1.89334i −0.348708 0.0783472i
\(585\) −0.148701 3.02687i −0.00614802 0.125146i
\(586\) −8.65931 1.87058i −0.357713 0.0772729i
\(587\) −13.1047 13.7643i −0.540890 0.568114i 0.395772 0.918349i \(-0.370477\pi\)
−0.936662 + 0.350235i \(0.886102\pi\)
\(588\) −44.6243 21.5584i −1.84027 0.889054i
\(589\) 11.6613 23.1670i 0.480496 0.954581i
\(590\) 9.89987 4.78132i 0.407571 0.196844i
\(591\) −10.1881 12.4142i −0.419082 0.510653i
\(592\) 15.8441 + 8.30599i 0.651187 + 0.341374i
\(593\) −10.9243 8.96536i −0.448608 0.368163i 0.382795 0.923833i \(-0.374962\pi\)
−0.831403 + 0.555670i \(0.812462\pi\)
\(594\) 26.3843 16.1076i 1.08256 0.660902i
\(595\) 44.6948 5.51258i 1.83231 0.225994i
\(596\) −2.98764 7.38470i −0.122379 0.302489i
\(597\) −2.29401 13.2207i −0.0938875 0.541087i
\(598\) −4.45229 + 5.24724i −0.182068 + 0.214575i
\(599\) 13.2097 + 1.95948i 0.539735 + 0.0800621i 0.411032 0.911621i \(-0.365169\pi\)
0.128703 + 0.991683i \(0.458919\pi\)
\(600\) −10.7662 + 5.75304i −0.439527 + 0.234867i
\(601\) −8.72589 + 34.8357i −0.355936 + 1.42098i 0.482461 + 0.875918i \(0.339743\pi\)
−0.838397 + 0.545060i \(0.816507\pi\)
\(602\) −22.5007 + 24.0219i −0.917061 + 0.979061i
\(603\) 3.29896 + 4.22723i 0.134344 + 0.172146i
\(604\) 20.5146 23.3888i 0.834728 0.951678i
\(605\) 33.4281 14.8177i 1.35905 0.602424i
\(606\) 0.136955 + 16.8185i 0.00556343 + 0.683207i
\(607\) −3.87744 19.4932i −0.157381 0.791205i −0.976152 0.217086i \(-0.930345\pi\)
0.818772 0.574119i \(-0.194655\pi\)
\(608\) 2.46138 + 37.6639i 0.0998220 + 1.52747i
\(609\) −12.9400 + 65.0536i −0.524354 + 2.63611i
\(610\) 21.9066 + 4.17235i 0.886972 + 0.168933i
\(611\) −3.95496 3.76544i −0.160001 0.152333i
\(612\) −13.4651 0.441835i −0.544295 0.0178601i
\(613\) 4.05306 1.12163i 0.163702 0.0453023i −0.183898 0.982945i \(-0.558872\pi\)
0.347600 + 0.937643i \(0.386997\pi\)
\(614\) 44.2920 10.3257i 1.78748 0.416710i
\(615\) 4.33432 + 29.2196i 0.174776 + 1.17825i
\(616\) −52.4371 47.5372i −2.11275 1.91533i
\(617\) −10.0668 6.03381i −0.405274 0.242912i 0.296913 0.954905i \(-0.404043\pi\)
−0.702187 + 0.711993i \(0.747793\pi\)
\(618\) 4.80202 + 0.552615i 0.193166 + 0.0222294i
\(619\) −18.4210 + 11.6650i −0.740402 + 0.468854i −0.851103 0.524999i \(-0.824066\pi\)
0.110701 + 0.993854i \(0.464691\pi\)
\(620\) 1.18298 + 13.1208i 0.0475095 + 0.526946i
\(621\) −3.08840 + 11.1601i −0.123933 + 0.447838i
\(622\) −2.85069 + 2.62631i −0.114302 + 0.105305i
\(623\) 19.9620 + 6.05541i 0.799761 + 0.242605i
\(624\) −12.8419 + 2.33463i −0.514087 + 0.0934599i
\(625\) −2.85265 9.40394i −0.114106 0.376158i
\(626\) 29.2245 7.57379i 1.16805 0.302710i
\(627\) 77.0100 + 5.68060i 3.07549 + 0.226861i
\(628\) −38.5923 + 28.1310i −1.54000 + 1.12255i
\(629\) 25.2931 9.75664i 1.00850 0.389023i
\(630\) −8.39017 + 8.11937i −0.334272 + 0.323484i
\(631\) −0.999403 2.11306i −0.0397856 0.0841196i 0.883118 0.469152i \(-0.155440\pi\)
−0.922903 + 0.385032i \(0.874190\pi\)
\(632\) 1.09660 0.485937i 0.0436203 0.0193295i
\(633\) −37.5446 41.4241i −1.49226 1.64646i
\(634\) −26.0506 + 3.42861i −1.03460 + 0.136168i
\(635\) −30.6304 + 15.4180i −1.21553 + 0.611846i
\(636\) −10.6315 4.20219i −0.421566 0.166628i
\(637\) −16.0797 + 11.3246i −0.637101 + 0.448697i
\(638\) −27.9579 + 53.3459i −1.10686 + 2.11198i
\(639\) −0.0117380 0.0117380i −0.000464349 0.000464349i
\(640\) −11.1629 15.5866i −0.441252 0.616116i
\(641\) −11.6635 + 11.6635i −0.460681 + 0.460681i −0.898879 0.438198i \(-0.855617\pi\)
0.438198 + 0.898879i \(0.355617\pi\)
\(642\) −15.6235 50.0334i −0.616610 1.97466i
\(643\) 13.8529 + 19.6697i 0.546307 + 0.775696i 0.992889 0.119047i \(-0.0379839\pi\)
−0.446582 + 0.894743i \(0.647359\pi\)
\(644\) 26.5089 0.431759i 1.04460 0.0170137i
\(645\) 8.20087 + 16.2923i 0.322909 + 0.641510i
\(646\) 45.3771 + 34.8219i 1.78534 + 1.37005i
\(647\) −27.3348 + 24.7749i −1.07464 + 0.974000i −0.999731 0.0231897i \(-0.992618\pi\)
−0.0749127 + 0.997190i \(0.523868\pi\)
\(648\) −25.6680 + 18.0731i −1.00834 + 0.709977i
\(649\) −23.6707 + 11.1954i −0.929158 + 0.439459i
\(650\) −0.0794461 + 4.84361i −0.00311613 + 0.189982i
\(651\) −12.4361 32.2395i −0.487411 1.26356i
\(652\) 4.00334 + 16.5613i 0.156783 + 0.648589i
\(653\) −3.18559 + 43.1860i −0.124662 + 1.69000i 0.467352 + 0.884071i \(0.345208\pi\)
−0.592014 + 0.805928i \(0.701667\pi\)
\(654\) 26.0026 + 15.2989i 1.01678 + 0.598235i
\(655\) −1.24671 + 0.378186i −0.0487131 + 0.0147770i
\(656\) 33.0684 9.43770i 1.29110 0.368480i
\(657\) 0.985060 3.24731i 0.0384309 0.126690i
\(658\) −0.861173 + 21.0210i −0.0335720 + 0.819482i
\(659\) −16.8897 4.67401i −0.657930 0.182074i −0.0782698 0.996932i \(-0.524940\pi\)
−0.579660 + 0.814859i \(0.696815\pi\)
\(660\) −34.7427 + 18.2031i −1.35236 + 0.708555i
\(661\) 4.50780 + 7.11860i 0.175333 + 0.276881i 0.921100 0.389325i \(-0.127292\pi\)
−0.745767 + 0.666207i \(0.767917\pi\)
\(662\) −14.6043 18.4028i −0.567613 0.715244i
\(663\) −10.1689 + 16.9657i −0.394926 + 0.658894i
\(664\) −6.86709 + 46.2575i −0.266495 + 1.79514i
\(665\) 49.0333 7.27341i 1.90143 0.282051i
\(666\) −3.71179 + 5.96854i −0.143829 + 0.231276i
\(667\) −6.01726 21.7436i −0.232989 0.841915i
\(668\) −8.82392 3.99888i −0.341408 0.154721i
\(669\) −28.3515 + 29.7785i −1.09613 + 1.15130i
\(670\) 6.50239 + 9.56204i 0.251209 + 0.369414i
\(671\) −52.0929 10.3619i −2.01102 0.400017i
\(672\) 39.3827 + 31.2686i 1.51922 + 1.20621i
\(673\) 24.5786 4.88898i 0.947434 0.188456i 0.302892 0.953025i \(-0.402048\pi\)
0.644542 + 0.764569i \(0.277048\pi\)
\(674\) −10.9555 10.7785i −0.421988 0.415171i
\(675\) 3.30326 + 7.45203i 0.127142 + 0.286829i
\(676\) 6.69394 19.7148i 0.257459 0.758260i
\(677\) 2.25941 1.76326i 0.0868360 0.0677675i −0.570880 0.821034i \(-0.693398\pi\)
0.657716 + 0.753266i \(0.271523\pi\)
\(678\) −30.5866 + 1.00013i −1.17467 + 0.0384098i
\(679\) −0.667002 0.167075i −0.0255972 0.00641176i
\(680\) −28.9129 2.85103i −1.10876 0.109332i
\(681\) −2.71914 + 18.3310i −0.104198 + 0.702444i
\(682\) −2.56297 31.2722i −0.0981410 1.19747i
\(683\) 22.6083 3.92291i 0.865082 0.150106i 0.278934 0.960310i \(-0.410019\pi\)
0.586147 + 0.810204i \(0.300644\pi\)
\(684\) −14.8290 0.122458i −0.567001 0.00468231i
\(685\) −1.72671 13.9998i −0.0659741 0.534904i
\(686\) 31.4634 + 7.60944i 1.20128 + 0.290530i
\(687\) −11.5726 + 14.1012i −0.441522 + 0.537996i
\(688\) 17.5605 11.9385i 0.669486 0.455153i
\(689\) −3.50691 + 2.87805i −0.133603 + 0.109645i
\(690\) 4.83690 13.8733i 0.184138 0.528149i
\(691\) 22.3636 + 11.2569i 0.850751 + 0.428232i 0.820729 0.571317i \(-0.193567\pi\)
0.0300215 + 0.999549i \(0.490442\pi\)
\(692\) 2.80772 48.9080i 0.106733 1.85920i
\(693\) 20.1399 19.1748i 0.765051 0.728389i
\(694\) −11.8957 18.4512i −0.451553 0.700396i
\(695\) −12.5634 + 0.617199i −0.476556 + 0.0234117i
\(696\) 17.3453 39.1182i 0.657472 1.48277i
\(697\) 22.2814 47.1100i 0.843967 1.78442i
\(698\) 2.06026 0.699276i 0.0779820 0.0264680i
\(699\) 16.1874 1.19406i 0.612264 0.0451633i
\(700\) 14.2322 12.0732i 0.537927 0.456326i
\(701\) 8.54777 13.4984i 0.322845 0.509828i −0.644057 0.764978i \(-0.722750\pi\)
0.966901 + 0.255150i \(0.0821249\pi\)
\(702\) 0.924913 + 8.66671i 0.0349086 + 0.327104i
\(703\) 27.5691 11.4195i 1.03979 0.430694i
\(704\) 26.2838 + 37.3384i 0.990608 + 1.40724i
\(705\) 10.7714 + 4.46167i 0.405675 + 0.168036i
\(706\) −8.73342 + 29.6575i −0.328687 + 1.11617i
\(707\) −5.63419 25.0902i −0.211896 0.943614i
\(708\) 16.2622 9.03586i 0.611171 0.339588i
\(709\) 7.36341 + 6.35172i 0.276539 + 0.238544i 0.780460 0.625206i \(-0.214985\pi\)
−0.503922 + 0.863749i \(0.668110\pi\)
\(710\) −0.0236023 0.0269153i −0.000885777 0.00101011i
\(711\) 0.158761 + 0.443706i 0.00595399 + 0.0166403i
\(712\) −11.7088 6.63472i −0.438805 0.248647i
\(713\) 8.70877 + 7.89317i 0.326146 + 0.295602i
\(714\) 74.9745 13.6391i 2.80585 0.510430i
\(715\) −0.381993 + 15.5607i −0.0142857 + 0.581936i
\(716\) 18.9578 + 14.3043i 0.708488 + 0.534575i
\(717\) 4.52497 + 13.6973i 0.168988 + 0.511534i
\(718\) 1.05123 + 18.3483i 0.0392314 + 0.684752i
\(719\) 2.28775 23.2279i 0.0853186 0.866255i −0.853328 0.521374i \(-0.825420\pi\)
0.938647 0.344880i \(-0.112080\pi\)
\(720\) 6.42950 3.92420i 0.239613 0.146246i
\(721\) −7.35477 + 0.724381i −0.273906 + 0.0269774i
\(722\) 29.1619 + 21.2621i 1.08529 + 0.791293i
\(723\) −3.41385 2.66420i −0.126962 0.0990825i
\(724\) 22.0308 14.4588i 0.818767 0.537356i
\(725\) −12.9845 9.14474i −0.482233 0.339627i
\(726\) 55.0398 28.2688i 2.04272 1.04915i
\(727\) −11.5184 15.5308i −0.427195 0.576006i 0.536200 0.844091i \(-0.319859\pi\)
−0.963395 + 0.268085i \(0.913609\pi\)
\(728\) 18.4378 7.63471i 0.683351 0.282961i
\(729\) 5.63524 + 9.40182i 0.208712 + 0.348216i
\(730\) 2.57800 6.84879i 0.0954161 0.253485i
\(731\) 3.93905 31.9370i 0.145691 1.18123i
\(732\) 37.4132 + 4.92845i 1.38283 + 0.182161i
\(733\) −0.981276 + 2.54386i −0.0362442 + 0.0939597i −0.949931 0.312459i \(-0.898847\pi\)
0.913687 + 0.406418i \(0.133222\pi\)
\(734\) −3.96481 1.60458i −0.146344 0.0592261i
\(735\) 23.3285 34.9135i 0.860484 1.28780i
\(736\) −16.7472 3.47724i −0.617311 0.128173i
\(737\) −15.3010 22.8995i −0.563618 0.843514i
\(738\) 2.74371 + 13.2296i 0.100998 + 0.486990i
\(739\) −0.641397 26.1276i −0.0235942 0.961121i −0.888415 0.459041i \(-0.848193\pi\)
0.864821 0.502080i \(-0.167432\pi\)
\(740\) −8.82963 + 12.3197i −0.324584 + 0.452883i
\(741\) −10.7315 + 18.9438i −0.394233 + 0.695919i
\(742\) 17.2448 + 2.84780i 0.633075 + 0.104546i
\(743\) 3.12594 4.21485i 0.114680 0.154628i −0.742138 0.670247i \(-0.766188\pi\)
0.856818 + 0.515619i \(0.172438\pi\)
\(744\) 3.26852 + 22.0520i 0.119830 + 0.808467i
\(745\) 6.54727 1.64001i 0.239874 0.0600852i
\(746\) 7.88099 2.25021i 0.288544 0.0823861i
\(747\) −17.9271 4.02566i −0.655917 0.147291i
\(748\) 68.8051 + 7.35088i 2.51576 + 0.268775i
\(749\) 39.5007 + 69.7285i 1.44332 + 2.54782i
\(750\) −11.9345 32.5173i −0.435785 1.18737i
\(751\) 14.7272 + 27.5526i 0.537403 + 1.00541i 0.993320 + 0.115388i \(0.0368112\pi\)
−0.455918 + 0.890022i \(0.650689\pi\)
\(752\) 3.51495 13.1099i 0.128177 0.478070i
\(753\) −1.59667 0.853440i −0.0581860 0.0311011i
\(754\) −10.2267 13.5569i −0.372433 0.493714i
\(755\) 17.2173 + 19.9597i 0.626603 + 0.726407i
\(756\) 22.7553 24.6937i 0.827603 0.898101i
\(757\) 5.17526 11.6752i 0.188098 0.424342i −0.795200 0.606348i \(-0.792634\pi\)
0.983297 + 0.182006i \(0.0582589\pi\)
\(758\) 17.3293 6.84725i 0.629427 0.248703i
\(759\) −11.7888 + 32.9476i −0.427908 + 1.19592i
\(760\) −31.8929 2.35624i −1.15688 0.0854700i
\(761\) 6.42922 + 0.315847i 0.233059 + 0.0114495i 0.165262 0.986250i \(-0.447153\pi\)
0.0677970 + 0.997699i \(0.478403\pi\)
\(762\) −50.2550 + 29.0122i −1.82055 + 1.05100i
\(763\) −43.7984 14.4690i −1.58561 0.523814i
\(764\) −11.1614 + 2.40973i −0.403804 + 0.0871809i
\(765\) 1.95150 11.2468i 0.0705566 0.406628i
\(766\) 11.6136 + 13.9186i 0.419618 + 0.502899i
\(767\) 7.38291i 0.266582i
\(768\) −20.3674 25.2518i −0.734946 0.911196i
\(769\) 22.7914i 0.821880i 0.911662 + 0.410940i \(0.134799\pi\)
−0.911662 + 0.410940i \(0.865201\pi\)
\(770\) 46.0446 38.4195i 1.65933 1.38454i
\(771\) 10.0393 57.8580i 0.361557 2.08371i
\(772\) 0.890579 + 0.574310i 0.0320526 + 0.0206699i
\(773\) −12.6810 4.18923i −0.456103 0.150676i 0.0764490 0.997073i \(-0.475642\pi\)
−0.532552 + 0.846398i \(0.678767\pi\)
\(774\) 4.17116 + 7.22530i 0.149929 + 0.259708i
\(775\) 8.26385 + 0.405977i 0.296846 + 0.0145831i
\(776\) 0.396218 + 0.199497i 0.0142234 + 0.00716151i
\(777\) 13.3935 37.4324i 0.480490 1.34288i
\(778\) 8.53912 + 21.6111i 0.306142 + 0.774795i
\(779\) 23.2459 52.4418i 0.832870 1.87892i
\(780\) −0.451407 11.0498i −0.0161630 0.395645i
\(781\) 0.0556903 + 0.0645605i 0.00199275 + 0.00231016i
\(782\) −20.6930 + 15.6098i −0.739980 + 0.558204i
\(783\) −25.2005 13.4699i −0.900593 0.481377i
\(784\) −43.8391 21.6274i −1.56568 0.772408i
\(785\) −19.0742 35.6854i −0.680789 1.27367i
\(786\) −2.06961 + 0.759584i −0.0738205 + 0.0270935i
\(787\) 12.9495 + 22.8591i 0.461601 + 0.814840i 0.999605 0.0281021i \(-0.00894636\pi\)
−0.538004 + 0.842942i \(0.680821\pi\)
\(788\) −9.94781 12.3276i −0.354376 0.439154i
\(789\) −61.0811 13.7162i −2.17454 0.488310i
\(790\) 0.279016 + 0.977206i 0.00992693 + 0.0347674i
\(791\) 45.3872 11.3689i 1.61378 0.404232i
\(792\) −15.3889 + 9.22136i −0.546821 + 0.327667i
\(793\) 8.92094 12.0285i 0.316792 0.427144i
\(794\) −2.72833 + 16.5213i −0.0968247 + 0.586319i
\(795\) 4.77417 8.42760i 0.169323 0.298896i
\(796\) −2.15499 13.0588i −0.0763815 0.462857i
\(797\) 0.774532 + 31.5509i 0.0274353 + 1.11759i 0.842660 + 0.538446i \(0.180989\pi\)
−0.815225 + 0.579145i \(0.803386\pi\)
\(798\) 82.1337 17.0338i 2.90750 0.602991i
\(799\) −11.4274 17.1023i −0.404271 0.605035i
\(800\) −10.6660 + 5.58677i −0.377099 + 0.197522i
\(801\) 2.93760 4.39642i 0.103795 0.155340i
\(802\) −0.605338 + 1.49575i −0.0213752 + 0.0528167i
\(803\) −6.27272 + 16.2614i −0.221359 + 0.573853i
\(804\) 11.9108 + 15.5249i 0.420060 + 0.547520i
\(805\) −2.74976 + 22.2945i −0.0969163 + 0.785776i
\(806\) 8.27974 + 3.11664i 0.291642 + 0.109779i
\(807\) −7.66545 12.7890i −0.269837 0.450195i
\(808\) −0.00190643 + 16.5899i −6.70681e−5 + 0.583632i
\(809\) −2.88880 3.89510i −0.101565 0.136944i 0.749501 0.662003i \(-0.230293\pi\)
−0.851066 + 0.525059i \(0.824043\pi\)
\(810\) −12.1518 23.6599i −0.426972 0.831323i
\(811\) 20.2490 + 14.2610i 0.711040 + 0.500771i 0.874039 0.485856i \(-0.161492\pi\)
−0.162999 + 0.986626i \(0.552117\pi\)
\(812\) −13.2931 + 64.0596i −0.466496 + 2.24805i
\(813\) −26.6536 20.8007i −0.934783 0.729512i
\(814\) 21.2680 29.1700i 0.745443 1.02241i
\(815\) −14.3666 + 1.41499i −0.503240 + 0.0495648i
\(816\) −49.1219 2.01805i −1.71961 0.0706458i
\(817\) 3.47182 35.2499i 0.121463 1.23324i
\(818\) 0.476730 0.0273133i 0.0166685 0.000954985i
\(819\) 2.45945 + 7.44488i 0.0859403 + 0.260145i
\(820\) 4.03711 + 28.8558i 0.140982 + 1.00769i
\(821\) −0.879323 + 35.8196i −0.0306886 + 1.25011i 0.764849 + 0.644209i \(0.222814\pi\)
−0.795538 + 0.605904i \(0.792811\pi\)
\(822\) −4.27218 23.4843i −0.149009 0.819109i
\(823\) −20.2864 18.3866i −0.707141 0.640915i 0.236597 0.971608i \(-0.423968\pi\)
−0.943739 + 0.330692i \(0.892718\pi\)
\(824\) 4.73193 + 0.584180i 0.164845 + 0.0203509i
\(825\) 8.29869 + 23.1933i 0.288923 + 0.807487i
\(826\) −21.3859 + 18.7535i −0.744112 + 0.652518i
\(827\) 37.6868 + 32.5088i 1.31050 + 1.13044i 0.982601 + 0.185728i \(0.0594644\pi\)
0.327896 + 0.944714i \(0.393661\pi\)
\(828\) 1.84579 6.46177i 0.0641457 0.224562i
\(829\) −8.34917 37.1805i −0.289979 1.29133i −0.876501 0.481400i \(-0.840128\pi\)
0.586522 0.809933i \(-0.300497\pi\)
\(830\) −38.0087 11.1927i −1.31930 0.388503i
\(831\) 13.7351 + 5.68927i 0.476466 + 0.197358i
\(832\) −12.6855 + 2.19814i −0.439790 + 0.0762067i
\(833\) −68.4403 + 28.3489i −2.37132 + 0.982232i
\(834\) −21.1650 + 2.25873i −0.732884 + 0.0782135i
\(835\) 4.39137 6.93473i 0.151970 0.239986i
\(836\) 75.9119 + 6.23027i 2.62547 + 0.215479i
\(837\) 14.8461 1.09512i 0.513157 0.0378528i
\(838\) 6.96517 + 20.5213i 0.240608 + 0.708897i
\(839\) −17.3765 + 36.7396i −0.599904 + 1.26839i 0.344248 + 0.938879i \(0.388134\pi\)
−0.944152 + 0.329511i \(0.893116\pi\)
\(840\) −30.8610 + 29.3753i −1.06481 + 1.01355i
\(841\) 26.6408 1.30878i 0.918650 0.0451304i
\(842\) 30.7977 19.8556i 1.06136 0.684270i
\(843\) −35.6346 + 33.9269i −1.22732 + 1.16851i
\(844\) −36.6943 41.1640i −1.26307 1.41692i
\(845\) 15.7569 + 7.93136i 0.542054 + 0.272847i
\(846\) 5.03547 + 1.75560i 0.173123 + 0.0603588i
\(847\) −73.1280 + 60.0146i −2.51271 + 2.06212i
\(848\) −10.4520 4.23139i −0.358924 0.145307i
\(849\) 24.3781 29.7048i 0.836653 1.01947i
\(850\) −4.28926 + 17.7352i −0.147120 + 0.608312i
\(851\) 1.65533 + 13.4210i 0.0567439 + 0.460067i
\(852\) −0.0424792 0.0431866i −0.00145531 0.00147955i
\(853\) −7.39094 + 1.28245i −0.253061 + 0.0439103i −0.296077 0.955164i \(-0.595678\pi\)
0.0430157 + 0.999074i \(0.486303\pi\)
\(854\) −57.5030 + 4.71276i −1.96771 + 0.161267i
\(855\) 1.84362 12.4287i 0.0630506 0.425052i
\(856\) −15.0026 49.4773i −0.512777 1.69110i
\(857\) 10.4963 + 2.62918i 0.358545 + 0.0898110i 0.418067 0.908416i \(-0.362708\pi\)
−0.0595219 + 0.998227i \(0.518958\pi\)
\(858\) 0.860794 + 26.3254i 0.0293870 + 0.898734i
\(859\) 0.650709 0.507818i 0.0222019 0.0173265i −0.604070 0.796932i \(-0.706455\pi\)
0.626272 + 0.779605i \(0.284580\pi\)
\(860\) 7.95615 + 16.1366i 0.271302 + 0.550253i
\(861\) −30.9703 69.8679i −1.05547 2.38109i
\(862\) 6.63290 6.74181i 0.225917 0.229627i
\(863\) 45.6226 9.07491i 1.55301 0.308913i 0.657329 0.753604i \(-0.271686\pi\)
0.895684 + 0.444691i \(0.146686\pi\)
\(864\) −17.8157 + 12.3254i −0.606103 + 0.419318i
\(865\) 40.7093 + 8.09758i 1.38416 + 0.275326i
\(866\) −9.43270 + 6.41444i −0.320536 + 0.217972i
\(867\) −27.6046 + 28.9940i −0.937502 + 0.984689i
\(868\) −12.0037 31.9004i −0.407431 1.08277i
\(869\) −0.645565 2.33277i −0.0218993 0.0791339i
\(870\) 30.7880 + 19.1468i 1.04381 + 0.649139i
\(871\) 7.68127 1.13941i 0.260270 0.0386074i
\(872\) 25.5228 + 15.3018i 0.864310 + 0.518183i
\(873\) −0.0896035 + 0.149494i −0.00303262 + 0.00505962i
\(874\) −22.3490 + 17.7360i −0.755965 + 0.599929i
\(875\) 28.3329 + 44.7426i 0.957828 + 1.51258i
\(876\) 3.69241 11.8200i 0.124755 0.399360i
\(877\) 18.0658 + 4.99947i 0.610037 + 0.168820i 0.558022 0.829826i \(-0.311560\pi\)
0.0520155 + 0.998646i \(0.483435\pi\)
\(878\) 32.4721 + 1.33029i 1.09588 + 0.0448953i
\(879\) 3.68709 12.1547i 0.124363 0.409968i
\(880\) −34.4164 + 17.6715i −1.16018 + 0.595705i
\(881\) −5.41479 + 1.64256i −0.182429 + 0.0553392i −0.380177 0.924914i \(-0.624137\pi\)
0.197748 + 0.980253i \(0.436637\pi\)
\(882\) 9.73946 16.5535i 0.327945 0.557386i
\(883\) 1.34108 18.1806i 0.0451309 0.611825i −0.926648 0.375931i \(-0.877323\pi\)
0.971779 0.235894i \(-0.0758019\pi\)
\(884\) −10.1682 + 16.6512i −0.341992 + 0.560039i
\(885\) 5.67291 + 14.7065i 0.190693 + 0.494352i
\(886\) 27.8000 + 0.455983i 0.933960 + 0.0153190i
\(887\) 3.25613 1.54003i 0.109330 0.0517093i −0.372108 0.928190i \(-0.621365\pi\)
0.481438 + 0.876480i \(0.340115\pi\)
\(888\) −13.7245 + 21.6678i −0.460563 + 0.727123i
\(889\) 65.7375 59.5810i 2.20476 1.99828i
\(890\) 6.94178 9.04599i 0.232689 0.303222i
\(891\) 28.4826 + 56.5851i 0.954202 + 1.89567i
\(892\) −28.2068 + 29.1408i −0.944433 + 0.975707i
\(893\) −13.0367 18.5107i −0.436256 0.619437i
\(894\) 10.9023 3.40437i 0.364628 0.113859i
\(895\) −14.2283 + 14.2283i −0.475601 + 0.475601i
\(896\) 38.5900 + 31.1623i 1.28920 + 1.04106i
\(897\) −6.97666 6.97666i −0.232944 0.232944i
\(898\) −22.5199 11.8024i −0.751498 0.393850i
\(899\) −23.7132 + 16.7007i −0.790878 + 0.556999i
\(900\) −1.88128 4.34051i −0.0627094 0.144684i
\(901\) −15.2634 + 7.68295i −0.508497 + 0.255956i
\(902\) −9.05535 68.8026i −0.301510 2.29087i
\(903\) −31.6912 34.9659i −1.05462 1.16359i
\(904\) −30.1770 + 0.737334i −1.00367 + 0.0245234i
\(905\) 9.54610 + 20.1835i 0.317323 + 0.670923i
\(906\) 31.0191 + 32.0537i 1.03054 + 1.06491i
\(907\) −37.0071 + 14.2752i −1.22880 + 0.474000i −0.885242 0.465131i \(-0.846007\pi\)
−0.343558 + 0.939131i \(0.611632\pi\)
\(908\) −2.83131 + 18.0584i −0.0939604 + 0.599290i
\(909\) −6.50043 0.479501i −0.215606 0.0159040i
\(910\) 4.24179 + 16.3675i 0.140614 + 0.542579i
\(911\) 12.4232 + 40.9538i 0.411599 + 1.35686i 0.880683 + 0.473707i \(0.157084\pi\)
−0.469083 + 0.883154i \(0.655416\pi\)
\(912\) −54.1084 0.893718i −1.79171 0.0295939i
\(913\) 90.3063 + 27.3941i 2.98870 + 0.906613i
\(914\) −15.5865 16.9181i −0.515554 0.559600i
\(915\) −8.52765 + 30.8150i −0.281915 + 1.01871i
\(916\) −11.5294 + 13.8144i −0.380941 + 0.456439i
\(917\) 2.84770 1.80329i 0.0940394 0.0595498i
\(918\) −3.75324 + 32.6143i −0.123875 + 1.07643i
\(919\) 48.4413 + 29.0346i 1.59793 + 0.957763i 0.985979 + 0.166867i \(0.0533652\pi\)
0.611951 + 0.790895i \(0.290385\pi\)
\(920\) 4.88383 13.6444i 0.161015 0.449844i
\(921\) 9.56778 + 64.5007i 0.315269 + 2.12537i
\(922\) −10.4945 45.0162i −0.345618 1.48253i
\(923\) −0.0231690 + 0.00641171i −0.000762616 + 0.000211044i
\(924\) 74.0697 69.3632i 2.43671 2.28188i
\(925\) 6.89429 + 6.56391i 0.226683 + 0.215820i
\(926\) 4.66901 24.5143i 0.153433 0.805589i
\(927\) −0.365456 + 1.83727i −0.0120031 + 0.0603439i
\(928\) 17.4270 38.4426i 0.572069 1.26194i
\(929\) −2.81955 14.1748i −0.0925063 0.465060i −0.999075 0.0430022i \(-0.986308\pi\)
0.906569 0.422058i \(-0.138692\pi\)
\(930\) −18.8877 + 0.153804i −0.619351 + 0.00504344i
\(931\) −74.5461 + 33.0440i −2.44315 + 1.08297i
\(932\) 15.9760 1.04590i 0.523312 0.0342594i
\(933\) −3.41904 4.38109i −0.111934 0.143430i
\(934\) −40.4739 37.9109i −1.32435 1.24048i
\(935\) −14.2456 + 56.8717i −0.465881 + 1.85990i
\(936\) −0.495225 5.03403i −0.0161869 0.164543i
\(937\) 16.1287 + 2.39247i 0.526903 + 0.0781587i 0.404882 0.914369i \(-0.367312\pi\)
0.122021 + 0.992528i \(0.461062\pi\)
\(938\) −22.8119 19.3559i −0.744834 0.631994i
\(939\) 7.40007 + 42.6476i 0.241492 + 1.39175i
\(940\) 10.5880 + 4.48846i 0.345341 + 0.146398i
\(941\) −51.3953 + 6.33901i −1.67544 + 0.206646i −0.903361 0.428881i \(-0.858908\pi\)
−0.772079 + 0.635527i \(0.780783\pi\)
\(942\) −35.6784 58.4412i −1.16246 1.90412i
\(943\) 20.0944 + 16.4910i 0.654364 + 0.537022i
\(944\) 16.1137 8.77998i 0.524455 0.285764i
\(945\) 18.0492 + 21.9930i 0.587141 + 0.715433i
\(946\) −18.6358 38.5860i −0.605902 1.25454i
\(947\) 1.35717 2.69623i 0.0441020 0.0876156i −0.870098 0.492878i \(-0.835945\pi\)
0.914200 + 0.405262i \(0.132820\pi\)
\(948\) 0.565958 + 1.62390i 0.0183815 + 0.0527418i
\(949\) −3.38859 3.55915i −0.109998 0.115535i
\(950\) −4.24083 + 19.6317i −0.137591 + 0.636937i
\(951\) −1.84848 37.6268i −0.0599412 1.22013i
\(952\) 74.0615 12.8421i 2.40035 0.416215i
\(953\) −22.9403 10.8499i −0.743109 0.351464i 0.0182168 0.999834i \(-0.494201\pi\)
−0.761326 + 0.648370i \(0.775451\pi\)
\(954\) 1.95963 3.97335i 0.0634452 0.128642i
\(955\) −0.711712 9.64844i −0.0230304 0.312216i
\(956\) 4.35159 + 13.5470i 0.140741 + 0.438142i
\(957\) −72.9548 46.1981i −2.35829 1.49337i
\(958\) 28.8081 35.6915i 0.930748 1.15314i
\(959\) 13.9660 + 33.7168i 0.450984 + 1.08877i
\(960\) 23.5800 14.1259i 0.761040 0.455912i
\(961\) −6.08078 + 14.6803i −0.196154 + 0.473558i
\(962\) 4.87109 + 8.93735i 0.157050 + 0.288152i
\(963\) 19.8198 4.45068i 0.638684 0.143421i
\(964\) −3.34552 2.65561i −0.107752 0.0855315i
\(965\) −0.586457 + 0.679866i −0.0188787 + 0.0218857i
\(966\) −2.48757 + 37.9307i −0.0800363 + 1.22040i
\(967\) −54.6396 + 19.5504i −1.75709 + 0.628697i −0.999705 0.0242718i \(-0.992273\pi\)
−0.757385 + 0.652969i \(0.773523\pi\)
\(968\) 54.5182 27.4343i 1.75228 0.881772i
\(969\) −55.0732 + 60.7640i −1.76921 + 1.95202i
\(970\) −0.213913 + 0.309048i −0.00686833 + 0.00992295i
\(971\) −30.7757 0.755501i −0.987639 0.0242452i −0.472481 0.881341i \(-0.656642\pi\)
−0.515157 + 0.857096i \(0.672267\pi\)
\(972\) −11.1698 18.9895i −0.358271 0.609090i
\(973\) 30.9008 10.2082i 0.990633 0.327261i
\(974\) −24.0472 + 26.9701i −0.770522 + 0.864179i
\(975\) −6.91202 0.680774i −0.221362 0.0218022i
\(976\) 36.8620 + 5.16587i 1.17992 + 0.165356i
\(977\) −3.60337 36.5857i −0.115282 1.17048i −0.862556 0.505962i \(-0.831138\pi\)
0.747274 0.664517i \(-0.231362\pi\)
\(978\) −24.1342 + 3.78106i −0.771727 + 0.120905i
\(979\) −16.7083 + 21.4097i −0.534000 + 0.684258i
\(980\) 23.2942 34.2466i 0.744106 1.09397i
\(981\) −6.73228 + 9.55910i −0.214945 + 0.305198i
\(982\) 37.0922 + 11.9195i 1.18366 + 0.380366i
\(983\) 38.4391 28.5084i 1.22602 0.909275i 0.228089 0.973640i \(-0.426752\pi\)
0.997926 + 0.0643649i \(0.0205021\pi\)
\(984\) 9.61335 + 48.3586i 0.306462 + 1.54162i
\(985\) 11.5120 6.90004i 0.366803 0.219853i
\(986\) −26.3958 58.2628i −0.840614 1.85546i
\(987\) −29.9372 3.69240i −0.952912 0.117530i
\(988\) −10.7393 + 18.5977i −0.341661 + 0.591670i
\(989\) 14.9758 + 5.77681i 0.476203 + 0.183692i
\(990\) −5.93108 13.9955i −0.188502 0.444805i
\(991\) −41.1579 27.5008i −1.30742 0.873592i −0.310393 0.950608i \(-0.600461\pi\)
−0.997030 + 0.0770168i \(0.975461\pi\)
\(992\) 3.04426 + 21.7775i 0.0966553 + 0.691435i
\(993\) 28.0071 18.7138i 0.888779 0.593863i
\(994\) 0.0774247 + 0.0508265i 0.00245576 + 0.00161212i
\(995\) 11.2107 0.275207i 0.355402 0.00872464i
\(996\) −65.2958 15.2301i −2.06898 0.482585i
\(997\) 24.4153 + 13.8311i 0.773239 + 0.438035i 0.828185 0.560455i \(-0.189374\pi\)
−0.0549458 + 0.998489i \(0.517499\pi\)
\(998\) −31.9689 44.6161i −1.01196 1.41230i
\(999\) 13.7568 + 10.2027i 0.435245 + 0.322800i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 512.2.o.a.149.31 4032
512.189 even 128 inner 512.2.o.a.189.31 yes 4032
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
512.2.o.a.149.31 4032 1.1 even 1 trivial
512.2.o.a.189.31 yes 4032 512.189 even 128 inner