Properties

Label 570.2.bh.a.67.5
Level $570$
Weight $2$
Character 570.67
Analytic conductor $4.551$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [570,2,Mod(13,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(36))
 
chi = DirichletCharacter(H, H._module([0, 27, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bh (of order \(36\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 67.5
Character \(\chi\) \(=\) 570.67
Dual form 570.2.bh.a.553.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.819152 - 0.573576i) q^{2} +(0.996195 + 0.0871557i) q^{3} +(0.342020 + 0.939693i) q^{4} +(2.23464 + 0.0799806i) q^{5} +(-0.766044 - 0.642788i) q^{6} +(4.38798 - 1.17576i) q^{7} +(0.258819 - 0.965926i) q^{8} +(0.984808 + 0.173648i) q^{9} +O(q^{10})\) \(q+(-0.819152 - 0.573576i) q^{2} +(0.996195 + 0.0871557i) q^{3} +(0.342020 + 0.939693i) q^{4} +(2.23464 + 0.0799806i) q^{5} +(-0.766044 - 0.642788i) q^{6} +(4.38798 - 1.17576i) q^{7} +(0.258819 - 0.965926i) q^{8} +(0.984808 + 0.173648i) q^{9} +(-1.78463 - 1.34725i) q^{10} +(0.242679 + 0.420332i) q^{11} +(0.258819 + 0.965926i) q^{12} +(-0.414152 - 4.73378i) q^{13} +(-4.26881 - 1.55372i) q^{14} +(2.21916 + 0.274438i) q^{15} +(-0.766044 + 0.642788i) q^{16} +(-3.23721 + 4.62321i) q^{17} +(-0.707107 - 0.707107i) q^{18} +(-3.82192 + 2.09592i) q^{19} +(0.689134 + 2.12723i) q^{20} +(4.47376 - 0.788844i) q^{21} +(0.0423017 - 0.483510i) q^{22} +(-0.260679 + 0.559028i) q^{23} +(0.342020 - 0.939693i) q^{24} +(4.98721 + 0.357455i) q^{25} +(-2.37593 + 4.11524i) q^{26} +(0.965926 + 0.258819i) q^{27} +(2.60563 + 3.72122i) q^{28} +(-0.300407 + 1.70369i) q^{29} +(-1.66042 - 1.49767i) q^{30} +(-7.79740 - 4.50183i) q^{31} +(0.996195 - 0.0871557i) q^{32} +(0.205121 + 0.439883i) q^{33} +(5.30353 - 1.93033i) q^{34} +(9.89959 - 2.27644i) q^{35} +(0.173648 + 0.984808i) q^{36} +(-1.42266 + 1.42266i) q^{37} +(4.33291 + 0.475286i) q^{38} -4.75186i q^{39} +(0.655622 - 2.13779i) q^{40} +(0.759066 + 0.904619i) q^{41} +(-4.11715 - 1.91986i) q^{42} +(9.62122 - 4.48645i) q^{43} +(-0.311982 + 0.371805i) q^{44} +(2.18680 + 0.466806i) q^{45} +(0.534181 - 0.308410i) q^{46} +(-8.53015 + 5.97288i) q^{47} +(-0.819152 + 0.573576i) q^{48} +(11.8098 - 6.81840i) q^{49} +(-3.88025 - 3.15335i) q^{50} +(-3.62783 + 4.32348i) q^{51} +(4.30665 - 2.00822i) q^{52} +(-5.91849 - 2.75984i) q^{53} +(-0.642788 - 0.766044i) q^{54} +(0.508680 + 0.958698i) q^{55} -4.54277i q^{56} +(-3.99005 + 1.75484i) q^{57} +(1.22328 - 1.22328i) q^{58} +(0.251802 + 1.42804i) q^{59} +(0.501111 + 2.17919i) q^{60} +(-5.96187 + 2.16994i) q^{61} +(3.80511 + 8.16009i) q^{62} +(4.52549 - 0.395929i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(-0.546869 - 10.6114i) q^{65} +(0.0842814 - 0.477984i) q^{66} +(6.49173 + 9.27115i) q^{67} +(-5.45159 - 1.46075i) q^{68} +(-0.308410 + 0.534181i) q^{69} +(-9.41498 - 3.81342i) q^{70} +(4.14842 - 11.3977i) q^{71} +(0.422618 - 0.906308i) q^{72} +(0.370421 - 4.23393i) q^{73} +(1.98137 - 0.349370i) q^{74} +(4.93707 + 0.790759i) q^{75} +(-3.27670 - 2.87459i) q^{76} +(1.55908 + 1.55908i) q^{77} +(-2.72556 + 3.89250i) q^{78} +(6.37120 - 5.34607i) q^{79} +(-1.76324 + 1.37513i) q^{80} +(0.939693 + 0.342020i) q^{81} +(-0.102922 - 1.17640i) q^{82} +(4.00820 + 14.9588i) q^{83} +(2.27139 + 3.93416i) q^{84} +(-7.60376 + 10.0723i) q^{85} +(-10.4546 - 1.84342i) q^{86} +(-0.447750 + 1.67103i) q^{87} +(0.468819 - 0.125620i) q^{88} +(-4.83470 - 4.05679i) q^{89} +(-1.52357 - 1.63668i) q^{90} +(-7.38307 - 20.2848i) q^{91} +(-0.614472 - 0.0537593i) q^{92} +(-7.37537 - 5.16429i) q^{93} +10.4134 q^{94} +(-8.70825 + 4.37795i) q^{95} +1.00000 q^{96} +(1.04179 + 0.729473i) q^{97} +(-13.5849 - 1.18852i) q^{98} +(0.166002 + 0.456087i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q - 12 q^{5} + 12 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 120 q - 12 q^{5} + 12 q^{7} - 12 q^{10} + 48 q^{13} + 12 q^{17} + 36 q^{21} - 36 q^{22} - 96 q^{23} + 12 q^{25} + 12 q^{26} + 12 q^{30} + 24 q^{38} + 60 q^{41} + 96 q^{43} - 48 q^{47} - 24 q^{52} - 72 q^{53} + 108 q^{55} + 12 q^{57} + 24 q^{58} - 12 q^{60} - 24 q^{61} + 24 q^{62} + 24 q^{66} + 72 q^{67} + 12 q^{68} - 48 q^{70} + 36 q^{73} - 12 q^{76} - 24 q^{78} + 12 q^{80} - 72 q^{82} + 12 q^{83} - 108 q^{85} - 24 q^{86} + 12 q^{87} - 48 q^{91} - 84 q^{92} - 48 q^{93} - 204 q^{95} + 120 q^{96} + 24 q^{97} - 96 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.819152 0.573576i −0.579228 0.405580i
\(3\) 0.996195 + 0.0871557i 0.575153 + 0.0503194i
\(4\) 0.342020 + 0.939693i 0.171010 + 0.469846i
\(5\) 2.23464 + 0.0799806i 0.999360 + 0.0357684i
\(6\) −0.766044 0.642788i −0.312736 0.262417i
\(7\) 4.38798 1.17576i 1.65850 0.444394i 0.696526 0.717531i \(-0.254728\pi\)
0.961975 + 0.273137i \(0.0880613\pi\)
\(8\) 0.258819 0.965926i 0.0915064 0.341506i
\(9\) 0.984808 + 0.173648i 0.328269 + 0.0578827i
\(10\) −1.78463 1.34725i −0.564350 0.426038i
\(11\) 0.242679 + 0.420332i 0.0731703 + 0.126735i 0.900289 0.435292i \(-0.143355\pi\)
−0.827119 + 0.562027i \(0.810022\pi\)
\(12\) 0.258819 + 0.965926i 0.0747146 + 0.278839i
\(13\) −0.414152 4.73378i −0.114865 1.31292i −0.806744 0.590901i \(-0.798772\pi\)
0.691879 0.722014i \(-0.256783\pi\)
\(14\) −4.26881 1.55372i −1.14089 0.415249i
\(15\) 2.21916 + 0.274438i 0.572985 + 0.0708595i
\(16\) −0.766044 + 0.642788i −0.191511 + 0.160697i
\(17\) −3.23721 + 4.62321i −0.785139 + 1.12129i 0.204662 + 0.978833i \(0.434391\pi\)
−0.989800 + 0.142461i \(0.954498\pi\)
\(18\) −0.707107 0.707107i −0.166667 0.166667i
\(19\) −3.82192 + 2.09592i −0.876810 + 0.480838i
\(20\) 0.689134 + 2.12723i 0.154095 + 0.475662i
\(21\) 4.47376 0.788844i 0.976254 0.172140i
\(22\) 0.0423017 0.483510i 0.00901875 0.103085i
\(23\) −0.260679 + 0.559028i −0.0543553 + 0.116565i −0.931609 0.363461i \(-0.881595\pi\)
0.877254 + 0.480026i \(0.159373\pi\)
\(24\) 0.342020 0.939693i 0.0698146 0.191814i
\(25\) 4.98721 + 0.357455i 0.997441 + 0.0714911i
\(26\) −2.37593 + 4.11524i −0.465959 + 0.807064i
\(27\) 0.965926 + 0.258819i 0.185893 + 0.0498097i
\(28\) 2.60563 + 3.72122i 0.492417 + 0.703245i
\(29\) −0.300407 + 1.70369i −0.0557841 + 0.316368i −0.999913 0.0132097i \(-0.995795\pi\)
0.944129 + 0.329577i \(0.106906\pi\)
\(30\) −1.66042 1.49767i −0.303150 0.273435i
\(31\) −7.79740 4.50183i −1.40045 0.808553i −0.406015 0.913866i \(-0.633082\pi\)
−0.994439 + 0.105314i \(0.966415\pi\)
\(32\) 0.996195 0.0871557i 0.176104 0.0154071i
\(33\) 0.205121 + 0.439883i 0.0357069 + 0.0765738i
\(34\) 5.30353 1.93033i 0.909549 0.331049i
\(35\) 9.89959 2.27644i 1.67334 0.384788i
\(36\) 0.173648 + 0.984808i 0.0289414 + 0.164135i
\(37\) −1.42266 + 1.42266i −0.233883 + 0.233883i −0.814311 0.580428i \(-0.802885\pi\)
0.580428 + 0.814311i \(0.302885\pi\)
\(38\) 4.33291 + 0.475286i 0.702891 + 0.0771016i
\(39\) 4.75186i 0.760907i
\(40\) 0.655622 2.13779i 0.103663 0.338015i
\(41\) 0.759066 + 0.904619i 0.118546 + 0.141278i 0.822054 0.569410i \(-0.192828\pi\)
−0.703508 + 0.710688i \(0.748384\pi\)
\(42\) −4.11715 1.91986i −0.635290 0.296241i
\(43\) 9.62122 4.48645i 1.46722 0.684177i 0.485455 0.874262i \(-0.338654\pi\)
0.981768 + 0.190084i \(0.0608761\pi\)
\(44\) −0.311982 + 0.371805i −0.0470330 + 0.0560517i
\(45\) 2.18680 + 0.466806i 0.325989 + 0.0695874i
\(46\) 0.534181 0.308410i 0.0787607 0.0454725i
\(47\) −8.53015 + 5.97288i −1.24425 + 0.871233i −0.995258 0.0972719i \(-0.968988\pi\)
−0.248992 + 0.968505i \(0.580099\pi\)
\(48\) −0.819152 + 0.573576i −0.118234 + 0.0827886i
\(49\) 11.8098 6.81840i 1.68712 0.974056i
\(50\) −3.88025 3.15335i −0.548751 0.445952i
\(51\) −3.62783 + 4.32348i −0.507998 + 0.605408i
\(52\) 4.30665 2.00822i 0.597225 0.278491i
\(53\) −5.91849 2.75984i −0.812967 0.379093i −0.0287553 0.999586i \(-0.509154\pi\)
−0.784211 + 0.620494i \(0.786932\pi\)
\(54\) −0.642788 0.766044i −0.0874723 0.104245i
\(55\) 0.508680 + 0.958698i 0.0685904 + 0.129271i
\(56\) 4.54277i 0.607054i
\(57\) −3.99005 + 1.75484i −0.528495 + 0.232435i
\(58\) 1.22328 1.22328i 0.160624 0.160624i
\(59\) 0.251802 + 1.42804i 0.0327818 + 0.185915i 0.996802 0.0799155i \(-0.0254650\pi\)
−0.964020 + 0.265830i \(0.914354\pi\)
\(60\) 0.501111 + 2.17919i 0.0646932 + 0.281333i
\(61\) −5.96187 + 2.16994i −0.763339 + 0.277833i −0.694208 0.719775i \(-0.744245\pi\)
−0.0691315 + 0.997608i \(0.522023\pi\)
\(62\) 3.80511 + 8.16009i 0.483250 + 1.03633i
\(63\) 4.52549 0.395929i 0.570158 0.0498823i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) −0.546869 10.6114i −0.0678308 1.31618i
\(66\) 0.0842814 0.477984i 0.0103743 0.0588357i
\(67\) 6.49173 + 9.27115i 0.793091 + 1.13265i 0.988395 + 0.151908i \(0.0485417\pi\)
−0.195304 + 0.980743i \(0.562569\pi\)
\(68\) −5.45159 1.46075i −0.661103 0.177142i
\(69\) −0.308410 + 0.534181i −0.0371282 + 0.0643078i
\(70\) −9.41498 3.81342i −1.12530 0.455791i
\(71\) 4.14842 11.3977i 0.492327 1.35266i −0.406219 0.913776i \(-0.633153\pi\)
0.898545 0.438881i \(-0.144625\pi\)
\(72\) 0.422618 0.906308i 0.0498060 0.106809i
\(73\) 0.370421 4.23393i 0.0433545 0.495544i −0.943213 0.332189i \(-0.892213\pi\)
0.986567 0.163355i \(-0.0522316\pi\)
\(74\) 1.98137 0.349370i 0.230330 0.0406134i
\(75\) 4.93707 + 0.790759i 0.570084 + 0.0913090i
\(76\) −3.27670 2.87459i −0.375863 0.329738i
\(77\) 1.55908 + 1.55908i 0.177673 + 0.177673i
\(78\) −2.72556 + 3.89250i −0.308609 + 0.440739i
\(79\) 6.37120 5.34607i 0.716816 0.601480i −0.209686 0.977769i \(-0.567244\pi\)
0.926503 + 0.376288i \(0.122800\pi\)
\(80\) −1.76324 + 1.37513i −0.197136 + 0.153744i
\(81\) 0.939693 + 0.342020i 0.104410 + 0.0380022i
\(82\) −0.102922 1.17640i −0.0113658 0.129912i
\(83\) 4.00820 + 14.9588i 0.439957 + 1.64194i 0.728918 + 0.684601i \(0.240023\pi\)
−0.288961 + 0.957341i \(0.593310\pi\)
\(84\) 2.27139 + 3.93416i 0.247829 + 0.429252i
\(85\) −7.60376 + 10.0723i −0.824743 + 1.09249i
\(86\) −10.4546 1.84342i −1.12735 0.198781i
\(87\) −0.447750 + 1.67103i −0.0480038 + 0.179153i
\(88\) 0.468819 0.125620i 0.0499763 0.0133911i
\(89\) −4.83470 4.05679i −0.512477 0.430019i 0.349523 0.936928i \(-0.386344\pi\)
−0.862000 + 0.506909i \(0.830788\pi\)
\(90\) −1.52357 1.63668i −0.160599 0.172521i
\(91\) −7.38307 20.2848i −0.773956 2.12643i
\(92\) −0.614472 0.0537593i −0.0640631 0.00560480i
\(93\) −7.37537 5.16429i −0.764790 0.535512i
\(94\) 10.4134 1.07406
\(95\) −8.70825 + 4.37795i −0.893447 + 0.449168i
\(96\) 1.00000 0.102062
\(97\) 1.04179 + 0.729473i 0.105778 + 0.0740667i 0.625269 0.780409i \(-0.284989\pi\)
−0.519491 + 0.854476i \(0.673878\pi\)
\(98\) −13.5849 1.18852i −1.37228 0.120059i
\(99\) 0.166002 + 0.456087i 0.0166838 + 0.0458384i
\(100\) 1.36983 + 4.80870i 0.136983 + 0.480870i
\(101\) −13.6817 11.4803i −1.36138 1.14233i −0.975554 0.219759i \(-0.929473\pi\)
−0.385823 0.922573i \(-0.626082\pi\)
\(102\) 5.45159 1.46075i 0.539788 0.144636i
\(103\) −3.24021 + 12.0926i −0.319267 + 1.19152i 0.600683 + 0.799487i \(0.294895\pi\)
−0.919950 + 0.392035i \(0.871771\pi\)
\(104\) −4.67967 0.825153i −0.458880 0.0809129i
\(105\) 10.0603 1.40497i 0.981787 0.137111i
\(106\) 3.26516 + 5.65543i 0.317141 + 0.549304i
\(107\) 1.89833 + 7.08467i 0.183519 + 0.684901i 0.994943 + 0.100443i \(0.0320261\pi\)
−0.811424 + 0.584458i \(0.801307\pi\)
\(108\) 0.0871557 + 0.996195i 0.00838657 + 0.0958589i
\(109\) 7.60650 + 2.76854i 0.728570 + 0.265178i 0.679560 0.733620i \(-0.262171\pi\)
0.0490108 + 0.998798i \(0.484393\pi\)
\(110\) 0.133200 1.07709i 0.0127002 0.102696i
\(111\) −1.54124 + 1.29325i −0.146288 + 0.122750i
\(112\) −2.60563 + 3.72122i −0.246209 + 0.351622i
\(113\) 2.40823 + 2.40823i 0.226547 + 0.226547i 0.811249 0.584702i \(-0.198788\pi\)
−0.584702 + 0.811249i \(0.698788\pi\)
\(114\) 4.27500 + 0.851115i 0.400390 + 0.0797143i
\(115\) −0.627235 + 1.22838i −0.0584899 + 0.114547i
\(116\) −1.70369 + 0.300407i −0.158184 + 0.0278921i
\(117\) 0.414152 4.73378i 0.0382884 0.437638i
\(118\) 0.612826 1.31421i 0.0564152 0.120983i
\(119\) −8.76905 + 24.0928i −0.803857 + 2.20858i
\(120\) 0.839448 2.07252i 0.0766308 0.189194i
\(121\) 5.38221 9.32227i 0.489292 0.847479i
\(122\) 6.12830 + 1.64207i 0.554831 + 0.148666i
\(123\) 0.677335 + 0.967334i 0.0610732 + 0.0872216i
\(124\) 1.56347 8.86687i 0.140404 0.796269i
\(125\) 11.1160 + 1.19766i 0.994246 + 0.107122i
\(126\) −3.93416 2.27139i −0.350483 0.202351i
\(127\) 0.611230 0.0534757i 0.0542379 0.00474520i −0.0600045 0.998198i \(-0.519111\pi\)
0.114242 + 0.993453i \(0.463556\pi\)
\(128\) 0.422618 + 0.906308i 0.0373545 + 0.0801070i
\(129\) 9.97563 3.63083i 0.878305 0.319677i
\(130\) −5.63849 + 9.00603i −0.494528 + 0.789881i
\(131\) 2.96899 + 16.8380i 0.259402 + 1.47114i 0.784515 + 0.620110i \(0.212912\pi\)
−0.525113 + 0.851033i \(0.675977\pi\)
\(132\) −0.343199 + 0.343199i −0.0298717 + 0.0298717i
\(133\) −14.3062 + 13.6905i −1.24051 + 1.18712i
\(134\) 11.3180i 0.977724i
\(135\) 2.13779 + 0.655622i 0.183992 + 0.0564270i
\(136\) 3.62783 + 4.32348i 0.311084 + 0.370735i
\(137\) −1.32365 0.617227i −0.113087 0.0527333i 0.365252 0.930909i \(-0.380983\pi\)
−0.478338 + 0.878176i \(0.658761\pi\)
\(138\) 0.559028 0.260679i 0.0475876 0.0221905i
\(139\) −14.4881 + 17.2662i −1.22886 + 1.46450i −0.389409 + 0.921065i \(0.627321\pi\)
−0.839452 + 0.543434i \(0.817124\pi\)
\(140\) 5.52501 + 8.52398i 0.466948 + 0.720408i
\(141\) −9.01826 + 5.20670i −0.759475 + 0.438483i
\(142\) −9.93563 + 6.95700i −0.833780 + 0.583819i
\(143\) 1.88925 1.32287i 0.157987 0.110624i
\(144\) −0.866025 + 0.500000i −0.0721688 + 0.0416667i
\(145\) −0.807562 + 3.78310i −0.0670644 + 0.314170i
\(146\) −2.73191 + 3.25577i −0.226095 + 0.269449i
\(147\) 12.3591 5.76316i 1.01936 0.475337i
\(148\) −1.82344 0.850282i −0.149886 0.0698928i
\(149\) −9.24760 11.0209i −0.757593 0.902864i 0.240100 0.970748i \(-0.422820\pi\)
−0.997693 + 0.0678840i \(0.978375\pi\)
\(150\) −3.59065 3.47954i −0.293176 0.284103i
\(151\) 2.96482i 0.241274i 0.992697 + 0.120637i \(0.0384936\pi\)
−0.992697 + 0.120637i \(0.961506\pi\)
\(152\) 1.03532 + 4.23416i 0.0839755 + 0.343436i
\(153\) −3.99084 + 3.99084i −0.322640 + 0.322640i
\(154\) −0.382871 2.17137i −0.0308526 0.174974i
\(155\) −17.0643 10.6836i −1.37064 0.858127i
\(156\) 4.46529 1.62523i 0.357510 0.130123i
\(157\) −1.23267 2.64348i −0.0983781 0.210972i 0.850959 0.525232i \(-0.176022\pi\)
−0.949337 + 0.314260i \(0.898244\pi\)
\(158\) −8.28536 + 0.724876i −0.659148 + 0.0576680i
\(159\) −5.65543 3.26516i −0.448505 0.258944i
\(160\) 2.23310 0.115085i 0.176542 0.00909828i
\(161\) −0.486574 + 2.75950i −0.0383474 + 0.217479i
\(162\) −0.573576 0.819152i −0.0450644 0.0643587i
\(163\) −17.3749 4.65559i −1.36091 0.364654i −0.496758 0.867889i \(-0.665476\pi\)
−0.864149 + 0.503235i \(0.832143\pi\)
\(164\) −0.590448 + 1.02269i −0.0461063 + 0.0798584i
\(165\) 0.423188 + 0.999385i 0.0329452 + 0.0778020i
\(166\) 5.29669 14.5525i 0.411103 1.12950i
\(167\) −0.441258 + 0.946281i −0.0341456 + 0.0732254i −0.922641 0.385661i \(-0.873974\pi\)
0.888495 + 0.458886i \(0.151751\pi\)
\(168\) 0.395929 4.52549i 0.0305466 0.349149i
\(169\) −9.43468 + 1.66359i −0.725744 + 0.127968i
\(170\) 12.0059 3.88940i 0.920808 0.298304i
\(171\) −4.12781 + 1.40041i −0.315662 + 0.107092i
\(172\) 7.50654 + 7.50654i 0.572368 + 0.572368i
\(173\) −0.873603 + 1.24763i −0.0664188 + 0.0948559i −0.850987 0.525186i \(-0.823996\pi\)
0.784568 + 0.620042i \(0.212885\pi\)
\(174\) 1.32524 1.11201i 0.100466 0.0843009i
\(175\) 22.3041 4.29523i 1.68603 0.324689i
\(176\) −0.456087 0.166002i −0.0343788 0.0125129i
\(177\) 0.126382 + 1.44455i 0.00949944 + 0.108579i
\(178\) 1.63347 + 6.09620i 0.122434 + 0.456929i
\(179\) −3.04538 5.27475i −0.227622 0.394254i 0.729481 0.684002i \(-0.239762\pi\)
−0.957103 + 0.289748i \(0.906429\pi\)
\(180\) 0.309275 + 2.21458i 0.0230520 + 0.165065i
\(181\) −20.4343 3.60312i −1.51887 0.267818i −0.648882 0.760889i \(-0.724763\pi\)
−0.869989 + 0.493071i \(0.835874\pi\)
\(182\) −5.58704 + 20.8511i −0.414139 + 1.54559i
\(183\) −6.12830 + 1.64207i −0.453017 + 0.121386i
\(184\) 0.472511 + 0.396484i 0.0348340 + 0.0292292i
\(185\) −3.29291 + 3.06534i −0.242099 + 0.225368i
\(186\) 3.07943 + 8.46067i 0.225795 + 0.620367i
\(187\) −2.72888 0.238746i −0.199556 0.0174589i
\(188\) −8.53015 5.97288i −0.622125 0.435617i
\(189\) 4.54277 0.330438
\(190\) 9.64447 + 1.40864i 0.699683 + 0.102194i
\(191\) −15.1942 −1.09941 −0.549707 0.835358i \(-0.685261\pi\)
−0.549707 + 0.835358i \(0.685261\pi\)
\(192\) −0.819152 0.573576i −0.0591172 0.0413943i
\(193\) −1.54417 0.135097i −0.111152 0.00972450i 0.0314442 0.999506i \(-0.489989\pi\)
−0.142596 + 0.989781i \(0.545545\pi\)
\(194\) −0.434980 1.19510i −0.0312297 0.0858030i
\(195\) 0.380057 10.6187i 0.0272165 0.760420i
\(196\) 10.4464 + 8.76556i 0.746171 + 0.626111i
\(197\) 20.9673 5.61816i 1.49386 0.400277i 0.582819 0.812602i \(-0.301950\pi\)
0.911037 + 0.412325i \(0.135283\pi\)
\(198\) 0.125620 0.468819i 0.00892740 0.0333175i
\(199\) 3.60395 + 0.635474i 0.255477 + 0.0450475i 0.299920 0.953964i \(-0.403040\pi\)
−0.0444426 + 0.999012i \(0.514151\pi\)
\(200\) 1.63606 4.72476i 0.115687 0.334091i
\(201\) 5.65899 + 9.80166i 0.399154 + 0.691356i
\(202\) 4.62255 + 17.2516i 0.325241 + 1.21382i
\(203\) 0.684946 + 7.82897i 0.0480738 + 0.549486i
\(204\) −5.30353 1.93033i −0.371322 0.135150i
\(205\) 1.62388 + 2.08221i 0.113417 + 0.145428i
\(206\) 9.59027 8.04719i 0.668186 0.560675i
\(207\) −0.353793 + 0.505269i −0.0245903 + 0.0351186i
\(208\) 3.36008 + 3.36008i 0.232979 + 0.232979i
\(209\) −1.80848 1.09784i −0.125095 0.0759392i
\(210\) −9.04679 4.61948i −0.624288 0.318774i
\(211\) −10.0516 + 1.77237i −0.691980 + 0.122015i −0.508568 0.861022i \(-0.669825\pi\)
−0.183411 + 0.983036i \(0.558714\pi\)
\(212\) 0.569155 6.50548i 0.0390898 0.446798i
\(213\) 5.12601 10.9928i 0.351228 0.753211i
\(214\) 2.50858 6.89226i 0.171483 0.471145i
\(215\) 21.8588 9.25608i 1.49076 0.631259i
\(216\) 0.500000 0.866025i 0.0340207 0.0589256i
\(217\) −39.5079 10.5861i −2.68197 0.718632i
\(218\) −4.64291 6.63076i −0.314458 0.449092i
\(219\) 0.738022 4.18553i 0.0498709 0.282832i
\(220\) −0.726903 + 0.805897i −0.0490078 + 0.0543336i
\(221\) 23.2260 + 13.4095i 1.56235 + 0.902023i
\(222\) 2.00428 0.175352i 0.134519 0.0117689i
\(223\) −0.0354118 0.0759409i −0.00237135 0.00508538i 0.905119 0.425159i \(-0.139782\pi\)
−0.907490 + 0.420074i \(0.862004\pi\)
\(224\) 4.26881 1.55372i 0.285222 0.103812i
\(225\) 4.84937 + 1.21804i 0.323291 + 0.0812029i
\(226\) −0.591402 3.35401i −0.0393395 0.223105i
\(227\) 13.7527 13.7527i 0.912800 0.912800i −0.0836919 0.996492i \(-0.526671\pi\)
0.996492 + 0.0836919i \(0.0266711\pi\)
\(228\) −3.01369 3.14923i −0.199587 0.208563i
\(229\) 11.8705i 0.784424i −0.919875 0.392212i \(-0.871710\pi\)
0.919875 0.392212i \(-0.128290\pi\)
\(230\) 1.21837 0.646459i 0.0803368 0.0426263i
\(231\) 1.41726 + 1.68903i 0.0932490 + 0.111130i
\(232\) 1.56789 + 0.731118i 0.102937 + 0.0480003i
\(233\) 5.89319 2.74804i 0.386075 0.180030i −0.219883 0.975526i \(-0.570568\pi\)
0.605958 + 0.795496i \(0.292790\pi\)
\(234\) −3.05444 + 3.64014i −0.199675 + 0.237963i
\(235\) −19.5395 + 12.6650i −1.27462 + 0.826171i
\(236\) −1.25580 + 0.725034i −0.0817454 + 0.0471957i
\(237\) 6.81290 4.77044i 0.442545 0.309874i
\(238\) 21.0022 14.7059i 1.36137 0.953243i
\(239\) 18.7157 10.8055i 1.21062 0.698951i 0.247724 0.968831i \(-0.420317\pi\)
0.962894 + 0.269880i \(0.0869839\pi\)
\(240\) −1.87638 + 1.21622i −0.121120 + 0.0785066i
\(241\) 0.794254 0.946554i 0.0511624 0.0609729i −0.739856 0.672765i \(-0.765107\pi\)
0.791019 + 0.611792i \(0.209551\pi\)
\(242\) −9.75589 + 4.54924i −0.627132 + 0.292436i
\(243\) 0.906308 + 0.422618i 0.0581397 + 0.0271110i
\(244\) −4.07816 4.86016i −0.261077 0.311140i
\(245\) 26.9360 14.2921i 1.72088 0.913088i
\(246\) 1.18090i 0.0752912i
\(247\) 11.5045 + 17.2241i 0.732014 + 1.09595i
\(248\) −6.36655 + 6.36655i −0.404276 + 0.404276i
\(249\) 2.68920 + 15.2512i 0.170421 + 0.966506i
\(250\) −8.41875 7.35695i −0.532448 0.465294i
\(251\) 1.39227 0.506744i 0.0878792 0.0319854i −0.297706 0.954657i \(-0.596222\pi\)
0.385586 + 0.922672i \(0.373999\pi\)
\(252\) 1.91986 + 4.11715i 0.120940 + 0.259356i
\(253\) −0.298238 + 0.0260925i −0.0187501 + 0.00164042i
\(254\) −0.531363 0.306783i −0.0333407 0.0192493i
\(255\) −8.45268 + 9.37125i −0.529327 + 0.586851i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −14.7691 21.0924i −0.921269 1.31571i −0.948731 0.316086i \(-0.897631\pi\)
0.0274612 0.999623i \(-0.491258\pi\)
\(258\) −10.2541 2.74758i −0.638394 0.171057i
\(259\) −4.56989 + 7.91529i −0.283959 + 0.491832i
\(260\) 9.78442 4.14321i 0.606804 0.256951i
\(261\) −0.591686 + 1.62564i −0.0366244 + 0.100625i
\(262\) 7.22582 15.4958i 0.446413 0.957335i
\(263\) −0.526861 + 6.02205i −0.0324877 + 0.371336i 0.962496 + 0.271297i \(0.0874524\pi\)
−0.994983 + 0.100039i \(0.968103\pi\)
\(264\) 0.477984 0.0842814i 0.0294179 0.00518716i
\(265\) −13.0049 6.64059i −0.798887 0.407928i
\(266\) 19.5715 3.00890i 1.20001 0.184487i
\(267\) −4.46273 4.46273i −0.273114 0.273114i
\(268\) −6.49173 + 9.27115i −0.396545 + 0.566325i
\(269\) 5.38600 4.51939i 0.328390 0.275552i −0.463653 0.886017i \(-0.653462\pi\)
0.792043 + 0.610465i \(0.209017\pi\)
\(270\) −1.37513 1.76324i −0.0836876 0.107307i
\(271\) 11.2362 + 4.08966i 0.682553 + 0.248429i 0.659944 0.751315i \(-0.270580\pi\)
0.0226100 + 0.999744i \(0.492802\pi\)
\(272\) −0.491899 5.62243i −0.0298257 0.340910i
\(273\) −5.58704 20.8511i −0.338143 1.26197i
\(274\) 0.730242 + 1.26482i 0.0441155 + 0.0764103i
\(275\) 1.06004 + 2.18303i 0.0639227 + 0.131642i
\(276\) −0.607448 0.107110i −0.0365641 0.00644724i
\(277\) 1.60743 5.99901i 0.0965811 0.360445i −0.900673 0.434497i \(-0.856926\pi\)
0.997254 + 0.0740514i \(0.0235929\pi\)
\(278\) 21.7714 5.83363i 1.30576 0.349878i
\(279\) −6.89720 5.78744i −0.412925 0.346485i
\(280\) 0.363334 10.1515i 0.0217133 0.606665i
\(281\) 4.88906 + 13.4326i 0.291657 + 0.801321i 0.995825 + 0.0912872i \(0.0290981\pi\)
−0.704168 + 0.710034i \(0.748680\pi\)
\(282\) 10.3738 + 0.907587i 0.617749 + 0.0540460i
\(283\) 18.6288 + 13.0441i 1.10737 + 0.775389i 0.976394 0.215997i \(-0.0693001\pi\)
0.130976 + 0.991386i \(0.458189\pi\)
\(284\) 12.1292 0.719734
\(285\) −9.05667 + 3.60231i −0.536471 + 0.213383i
\(286\) −2.30635 −0.136377
\(287\) 4.39438 + 3.07698i 0.259392 + 0.181628i
\(288\) 0.996195 + 0.0871557i 0.0587013 + 0.00513570i
\(289\) −5.08024 13.9579i −0.298838 0.821050i
\(290\) 2.83142 2.63574i 0.166266 0.154776i
\(291\) 0.974253 + 0.817495i 0.0571117 + 0.0479224i
\(292\) 4.10528 1.10001i 0.240243 0.0643730i
\(293\) 2.90086 10.8262i 0.169470 0.632471i −0.827958 0.560791i \(-0.810497\pi\)
0.997428 0.0716803i \(-0.0228361\pi\)
\(294\) −13.4296 2.36800i −0.783231 0.138105i
\(295\) 0.448470 + 3.21129i 0.0261109 + 0.186968i
\(296\) 1.00597 + 1.74239i 0.0584708 + 0.101274i
\(297\) 0.125620 + 0.468819i 0.00728919 + 0.0272036i
\(298\) 1.25388 + 14.3320i 0.0726356 + 0.830229i
\(299\) 2.75428 + 1.00248i 0.159284 + 0.0579746i
\(300\) 0.945509 + 4.90979i 0.0545890 + 0.283467i
\(301\) 36.9428 30.9987i 2.12935 1.78673i
\(302\) 1.70055 2.42864i 0.0978557 0.139752i
\(303\) −12.6290 12.6290i −0.725519 0.725519i
\(304\) 1.58053 4.06226i 0.0906496 0.232986i
\(305\) −13.4962 + 4.37220i −0.772788 + 0.250351i
\(306\) 5.55816 0.980053i 0.317739 0.0560259i
\(307\) −1.48985 + 17.0290i −0.0850301 + 0.971898i 0.827116 + 0.562032i \(0.189980\pi\)
−0.912146 + 0.409866i \(0.865575\pi\)
\(308\) −0.931817 + 1.99829i −0.0530952 + 0.113863i
\(309\) −4.28182 + 11.7642i −0.243584 + 0.669243i
\(310\) 7.85039 + 18.5392i 0.445872 + 1.05295i
\(311\) 0.293133 0.507722i 0.0166221 0.0287903i −0.857595 0.514326i \(-0.828042\pi\)
0.874217 + 0.485536i \(0.161375\pi\)
\(312\) −4.58995 1.22987i −0.259855 0.0696279i
\(313\) −2.45909 3.51194i −0.138996 0.198507i 0.743619 0.668604i \(-0.233108\pi\)
−0.882615 + 0.470097i \(0.844219\pi\)
\(314\) −0.506489 + 2.87244i −0.0285828 + 0.162101i
\(315\) 10.1445 0.522806i 0.571577 0.0294568i
\(316\) 7.20275 + 4.15851i 0.405186 + 0.233934i
\(317\) −16.7221 + 1.46300i −0.939208 + 0.0821701i −0.546469 0.837480i \(-0.684028\pi\)
−0.392740 + 0.919650i \(0.628473\pi\)
\(318\) 2.75984 + 5.91849i 0.154764 + 0.331892i
\(319\) −0.789018 + 0.287179i −0.0441765 + 0.0160789i
\(320\) −1.89526 1.18658i −0.105948 0.0663321i
\(321\) 1.27364 + 7.22316i 0.0710876 + 0.403158i
\(322\) 1.98136 1.98136i 0.110417 0.110417i
\(323\) 2.68247 24.4545i 0.149257 1.36069i
\(324\) 1.00000i 0.0555556i
\(325\) −0.373347 23.7564i −0.0207096 1.31777i
\(326\) 11.5623 + 13.7795i 0.640379 + 0.763174i
\(327\) 7.33626 + 3.42095i 0.405696 + 0.189179i
\(328\) 1.07026 0.499069i 0.0590950 0.0275565i
\(329\) −30.4075 + 36.2383i −1.67642 + 1.99788i
\(330\) 0.226568 1.06138i 0.0124721 0.0584270i
\(331\) −28.3198 + 16.3504i −1.55659 + 0.898700i −0.559015 + 0.829157i \(0.688821\pi\)
−0.997579 + 0.0695429i \(0.977846\pi\)
\(332\) −12.6858 + 8.88269i −0.696223 + 0.487501i
\(333\) −1.64808 + 1.15400i −0.0903145 + 0.0632389i
\(334\) 0.904222 0.522053i 0.0494768 0.0285655i
\(335\) 13.7651 + 21.2369i 0.752070 + 1.16029i
\(336\) −2.92004 + 3.47997i −0.159301 + 0.189848i
\(337\) 17.3072 8.07047i 0.942782 0.439626i 0.110436 0.993883i \(-0.464775\pi\)
0.832346 + 0.554257i \(0.186997\pi\)
\(338\) 8.68263 + 4.04878i 0.472273 + 0.220224i
\(339\) 2.18917 + 2.60895i 0.118900 + 0.141699i
\(340\) −12.0655 3.70027i −0.654343 0.200675i
\(341\) 4.36999i 0.236648i
\(342\) 4.18455 + 1.22047i 0.226275 + 0.0659953i
\(343\) 21.3189 21.3189i 1.15111 1.15111i
\(344\) −1.84342 10.4546i −0.0993907 0.563673i
\(345\) −0.731908 + 1.16903i −0.0394046 + 0.0629387i
\(346\) 1.43123 0.520924i 0.0769433 0.0280051i
\(347\) −12.6858 27.2049i −0.681012 1.46043i −0.877327 0.479893i \(-0.840675\pi\)
0.196315 0.980541i \(-0.437102\pi\)
\(348\) −1.72339 + 0.150777i −0.0923834 + 0.00808250i
\(349\) −1.11525 0.643889i −0.0596979 0.0344666i 0.469854 0.882744i \(-0.344307\pi\)
−0.529552 + 0.848278i \(0.677640\pi\)
\(350\) −20.7341 9.27463i −1.10828 0.495750i
\(351\) 0.825153 4.67967i 0.0440434 0.249782i
\(352\) 0.278389 + 0.397581i 0.0148382 + 0.0211912i
\(353\) 18.9655 + 5.08179i 1.00943 + 0.270476i 0.725392 0.688336i \(-0.241659\pi\)
0.284040 + 0.958813i \(0.408325\pi\)
\(354\) 0.725034 1.25580i 0.0385351 0.0667448i
\(355\) 10.1818 25.1379i 0.540394 1.33418i
\(356\) 2.15857 5.93063i 0.114404 0.314323i
\(357\) −10.8355 + 23.2368i −0.573475 + 1.22982i
\(358\) −0.530845 + 6.06758i −0.0280560 + 0.320682i
\(359\) 19.2389 3.39233i 1.01539 0.179041i 0.358900 0.933376i \(-0.383152\pi\)
0.656489 + 0.754335i \(0.272041\pi\)
\(360\) 1.01689 1.99147i 0.0535946 0.104960i
\(361\) 10.2142 16.0209i 0.537590 0.843206i
\(362\) 14.6721 + 14.6721i 0.771151 + 0.771151i
\(363\) 6.17422 8.81770i 0.324063 0.462809i
\(364\) 16.5363 13.8756i 0.866739 0.727281i
\(365\) 1.16639 9.43167i 0.0610515 0.493676i
\(366\) 5.96187 + 2.16994i 0.311632 + 0.113425i
\(367\) −1.60287 18.3209i −0.0836691 0.956342i −0.915766 0.401712i \(-0.868415\pi\)
0.832097 0.554630i \(-0.187140\pi\)
\(368\) −0.159645 0.595802i −0.00832205 0.0310583i
\(369\) 0.590448 + 1.02269i 0.0307375 + 0.0532389i
\(370\) 4.45559 0.622243i 0.231635 0.0323489i
\(371\) −29.2151 5.15141i −1.51677 0.267448i
\(372\) 2.33032 8.69687i 0.120821 0.450912i
\(373\) −13.3302 + 3.57183i −0.690214 + 0.184942i −0.586843 0.809701i \(-0.699629\pi\)
−0.103371 + 0.994643i \(0.532963\pi\)
\(374\) 2.09843 + 1.76079i 0.108507 + 0.0910485i
\(375\) 10.9693 + 2.16193i 0.566453 + 0.111642i
\(376\) 3.56159 + 9.78539i 0.183675 + 0.504643i
\(377\) 8.18932 + 0.716472i 0.421771 + 0.0369002i
\(378\) −3.72122 2.60563i −0.191399 0.134019i
\(379\) 29.8710 1.53437 0.767186 0.641425i \(-0.221656\pi\)
0.767186 + 0.641425i \(0.221656\pi\)
\(380\) −7.09232 6.68573i −0.363828 0.342971i
\(381\) 0.613565 0.0314339
\(382\) 12.4464 + 8.71504i 0.636811 + 0.445900i
\(383\) −2.97637 0.260398i −0.152085 0.0133057i 0.0108589 0.999941i \(-0.496543\pi\)
−0.162944 + 0.986635i \(0.552099\pi\)
\(384\) 0.342020 + 0.939693i 0.0174536 + 0.0479535i
\(385\) 3.35928 + 3.60867i 0.171205 + 0.183915i
\(386\) 1.18742 + 0.996363i 0.0604380 + 0.0507135i
\(387\) 10.2541 2.74758i 0.521246 0.139667i
\(388\) −0.329165 + 1.22846i −0.0167108 + 0.0623657i
\(389\) −24.6224 4.34159i −1.24841 0.220127i −0.489891 0.871784i \(-0.662963\pi\)
−0.758514 + 0.651656i \(0.774074\pi\)
\(390\) −6.40196 + 8.48033i −0.324176 + 0.429418i
\(391\) −1.74063 3.01487i −0.0880276 0.152468i
\(392\) −3.52946 13.1721i −0.178265 0.665293i
\(393\) 1.49017 + 17.0327i 0.0751690 + 0.859186i
\(394\) −20.3978 7.42420i −1.02763 0.374026i
\(395\) 14.6649 11.4370i 0.737872 0.575456i
\(396\) −0.371805 + 0.311982i −0.0186839 + 0.0156777i
\(397\) −12.3200 + 17.5949i −0.618325 + 0.883060i −0.999135 0.0415934i \(-0.986757\pi\)
0.380809 + 0.924654i \(0.375645\pi\)
\(398\) −2.58769 2.58769i −0.129709 0.129709i
\(399\) −15.4450 + 12.3916i −0.773218 + 0.620354i
\(400\) −4.05019 + 2.93189i −0.202509 + 0.146594i
\(401\) 3.94960 0.696422i 0.197234 0.0347776i −0.0741585 0.997246i \(-0.523627\pi\)
0.271392 + 0.962469i \(0.412516\pi\)
\(402\) 0.986427 11.2749i 0.0491985 0.562341i
\(403\) −18.0814 + 38.7756i −0.900697 + 1.93155i
\(404\) 6.10853 16.7831i 0.303911 0.834988i
\(405\) 2.07252 + 0.839448i 0.102984 + 0.0417125i
\(406\) 3.92944 6.80599i 0.195015 0.337775i
\(407\) −0.943236 0.252739i −0.0467545 0.0125278i
\(408\) 3.23721 + 4.62321i 0.160266 + 0.228883i
\(409\) 1.82623 10.3570i 0.0903010 0.512123i −0.905785 0.423737i \(-0.860718\pi\)
0.996086 0.0883857i \(-0.0281708\pi\)
\(410\) −0.135904 2.63707i −0.00671181 0.130235i
\(411\) −1.26482 0.730242i −0.0623888 0.0360202i
\(412\) −12.4716 + 1.09112i −0.614430 + 0.0537557i
\(413\) 2.78393 + 5.97015i 0.136988 + 0.293772i
\(414\) 0.579620 0.210965i 0.0284868 0.0103683i
\(415\) 7.76045 + 33.7481i 0.380946 + 1.65663i
\(416\) −0.825153 4.67967i −0.0404564 0.229440i
\(417\) −15.9378 + 15.9378i −0.780476 + 0.780476i
\(418\) 0.851727 + 1.93660i 0.0416593 + 0.0947222i
\(419\) 5.96231i 0.291278i −0.989338 0.145639i \(-0.953476\pi\)
0.989338 0.145639i \(-0.0465238\pi\)
\(420\) 4.76107 + 8.97308i 0.232316 + 0.437842i
\(421\) −23.0691 27.4927i −1.12432 1.33991i −0.933620 0.358264i \(-0.883369\pi\)
−0.190700 0.981648i \(-0.561076\pi\)
\(422\) 9.25036 + 4.31351i 0.450301 + 0.209979i
\(423\) −9.43774 + 4.40089i −0.458878 + 0.213979i
\(424\) −4.19761 + 5.00252i −0.203854 + 0.242944i
\(425\) −17.7972 + 21.8998i −0.863292 + 1.06229i
\(426\) −10.5042 + 6.06458i −0.508928 + 0.293830i
\(427\) −23.6092 + 16.5314i −1.14253 + 0.800009i
\(428\) −6.00815 + 4.20695i −0.290415 + 0.203351i
\(429\) 1.99736 1.15318i 0.0964334 0.0556759i
\(430\) −23.2147 4.95554i −1.11951 0.238977i
\(431\) −6.64353 + 7.91745i −0.320007 + 0.381370i −0.901936 0.431870i \(-0.857854\pi\)
0.581928 + 0.813240i \(0.302298\pi\)
\(432\) −0.906308 + 0.422618i −0.0436048 + 0.0203332i
\(433\) 24.1835 + 11.2769i 1.16218 + 0.541935i 0.905410 0.424537i \(-0.139563\pi\)
0.256772 + 0.966472i \(0.417341\pi\)
\(434\) 26.2910 + 31.3324i 1.26201 + 1.50400i
\(435\) −1.13421 + 3.69833i −0.0543811 + 0.177321i
\(436\) 8.09467i 0.387664i
\(437\) −0.175384 2.68293i −0.00838976 0.128342i
\(438\) −3.00528 + 3.00528i −0.143598 + 0.143598i
\(439\) 6.19593 + 35.1389i 0.295716 + 1.67709i 0.664279 + 0.747485i \(0.268739\pi\)
−0.368563 + 0.929603i \(0.620150\pi\)
\(440\) 1.05769 0.243218i 0.0504233 0.0115950i
\(441\) 12.8144 4.66406i 0.610209 0.222098i
\(442\) −11.3342 24.3063i −0.539114 1.15613i
\(443\) 25.4622 2.22765i 1.20974 0.105839i 0.535622 0.844458i \(-0.320077\pi\)
0.674123 + 0.738619i \(0.264522\pi\)
\(444\) −1.74239 1.00597i −0.0826902 0.0477412i
\(445\) −10.4793 9.45214i −0.496768 0.448074i
\(446\) −0.0145503 + 0.0825186i −0.000688974 + 0.00390737i
\(447\) −8.25188 11.7849i −0.390300 0.557407i
\(448\) −4.38798 1.17576i −0.207313 0.0555493i
\(449\) −16.2391 + 28.1269i −0.766370 + 1.32739i 0.173149 + 0.984896i \(0.444606\pi\)
−0.939519 + 0.342497i \(0.888727\pi\)
\(450\) −3.27373 3.77925i −0.154325 0.178155i
\(451\) −0.196031 + 0.538591i −0.00923075 + 0.0253613i
\(452\) −1.43933 + 3.08666i −0.0677004 + 0.145184i
\(453\) −0.258401 + 2.95354i −0.0121407 + 0.138769i
\(454\) −19.1538 + 3.37733i −0.898932 + 0.158506i
\(455\) −14.8761 45.9197i −0.697402 2.15275i
\(456\) 0.662348 + 4.30828i 0.0310173 + 0.201754i
\(457\) −13.2954 13.2954i −0.621932 0.621932i 0.324093 0.946025i \(-0.394941\pi\)
−0.946025 + 0.324093i \(0.894941\pi\)
\(458\) −6.80863 + 9.72373i −0.318146 + 0.454360i
\(459\) −4.32348 + 3.62783i −0.201803 + 0.169333i
\(460\) −1.36882 0.169278i −0.0638217 0.00789265i
\(461\) 17.6093 + 6.40927i 0.820147 + 0.298509i 0.717809 0.696240i \(-0.245145\pi\)
0.102339 + 0.994750i \(0.467367\pi\)
\(462\) −0.192167 2.19648i −0.00894041 0.102189i
\(463\) −1.16251 4.33855i −0.0540265 0.201630i 0.933637 0.358220i \(-0.116616\pi\)
−0.987664 + 0.156591i \(0.949950\pi\)
\(464\) −0.864987 1.49820i −0.0401560 0.0695522i
\(465\) −16.0682 12.1302i −0.745146 0.562524i
\(466\) −6.40362 1.12913i −0.296642 0.0523060i
\(467\) −5.46644 + 20.4010i −0.252957 + 0.944047i 0.716259 + 0.697834i \(0.245853\pi\)
−0.969216 + 0.246212i \(0.920814\pi\)
\(468\) 4.58995 1.22987i 0.212170 0.0568509i
\(469\) 39.3862 + 33.0489i 1.81869 + 1.52606i
\(470\) 23.2702 + 0.832869i 1.07337 + 0.0384174i
\(471\) −0.997589 2.74085i −0.0459665 0.126292i
\(472\) 1.44455 + 0.126382i 0.0664908 + 0.00581719i
\(473\) 4.22066 + 2.95534i 0.194066 + 0.135887i
\(474\) −8.31701 −0.382013
\(475\) −19.8099 + 9.08663i −0.908942 + 0.416923i
\(476\) −25.6390 −1.17516
\(477\) −5.34933 3.74564i −0.244929 0.171501i
\(478\) −21.5288 1.88353i −0.984704 0.0861505i
\(479\) 1.09224 + 3.00090i 0.0499057 + 0.137115i 0.962141 0.272551i \(-0.0878674\pi\)
−0.912236 + 0.409666i \(0.865645\pi\)
\(480\) 2.23464 + 0.0799806i 0.101997 + 0.00365060i
\(481\) 7.32374 + 6.14535i 0.333934 + 0.280204i
\(482\) −1.19354 + 0.319807i −0.0543641 + 0.0145668i
\(483\) −0.725229 + 2.70659i −0.0329991 + 0.123154i
\(484\) 10.6009 + 1.86922i 0.481859 + 0.0849647i
\(485\) 2.26969 + 1.71343i 0.103061 + 0.0778028i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) 8.35990 + 31.1996i 0.378823 + 1.41379i 0.847677 + 0.530512i \(0.178000\pi\)
−0.468854 + 0.883276i \(0.655333\pi\)
\(488\) 0.552959 + 6.32035i 0.0250313 + 0.286109i
\(489\) −16.9030 6.15220i −0.764381 0.278212i
\(490\) −30.2623 3.74245i −1.36711 0.169067i
\(491\) −24.3024 + 20.3921i −1.09675 + 0.920284i −0.997202 0.0747481i \(-0.976185\pi\)
−0.0995499 + 0.995033i \(0.531740\pi\)
\(492\) −0.677335 + 0.967334i −0.0305366 + 0.0436108i
\(493\) −6.90405 6.90405i −0.310943 0.310943i
\(494\) 0.455417 20.7079i 0.0204902 0.931692i
\(495\) 0.334476 + 1.03246i 0.0150336 + 0.0464058i
\(496\) 8.86687 1.56347i 0.398134 0.0702018i
\(497\) 4.80229 54.8904i 0.215412 2.46217i
\(498\) 6.54487 14.0355i 0.293283 0.628947i
\(499\) −4.78716 + 13.1526i −0.214303 + 0.588792i −0.999538 0.0304059i \(-0.990320\pi\)
0.785235 + 0.619198i \(0.212542\pi\)
\(500\) 2.67646 + 10.8553i 0.119695 + 0.485462i
\(501\) −0.522053 + 0.904222i −0.0233236 + 0.0403977i
\(502\) −1.43114 0.383472i −0.0638747 0.0171152i
\(503\) −5.83246 8.32961i −0.260056 0.371399i 0.667797 0.744343i \(-0.267237\pi\)
−0.927854 + 0.372944i \(0.878348\pi\)
\(504\) 0.788844 4.47376i 0.0351379 0.199277i
\(505\) −29.6554 26.7485i −1.31965 1.19029i
\(506\) 0.259269 + 0.149689i 0.0115259 + 0.00665448i
\(507\) −9.54376 + 0.834971i −0.423853 + 0.0370824i
\(508\) 0.259304 + 0.556079i 0.0115047 + 0.0246720i
\(509\) 1.76100 0.640952i 0.0780550 0.0284097i −0.302698 0.953087i \(-0.597887\pi\)
0.380753 + 0.924677i \(0.375665\pi\)
\(510\) 12.2992 2.82822i 0.544616 0.125236i
\(511\) −3.35267 19.0139i −0.148313 0.841127i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −4.23416 + 1.03532i −0.186943 + 0.0457105i
\(514\) 25.7491i 1.13574i
\(515\) −8.20787 + 26.7635i −0.361682 + 1.17934i
\(516\) 6.82373 + 8.13221i 0.300398 + 0.358001i
\(517\) −4.58067 2.13600i −0.201458 0.0939413i
\(518\) 8.28346 3.86264i 0.363954 0.169715i
\(519\) −0.979017 + 1.16675i −0.0429741 + 0.0512145i
\(520\) −10.3914 2.21820i −0.455692 0.0972745i
\(521\) 12.4118 7.16593i 0.543769 0.313945i −0.202836 0.979213i \(-0.565016\pi\)
0.746605 + 0.665268i \(0.231683\pi\)
\(522\) 1.41711 0.992272i 0.0620253 0.0434306i
\(523\) 19.6943 13.7901i 0.861172 0.602999i −0.0573565 0.998354i \(-0.518267\pi\)
0.918529 + 0.395355i \(0.129378\pi\)
\(524\) −14.8071 + 8.54888i −0.646851 + 0.373459i
\(525\) 22.5935 2.33496i 0.986063 0.101906i
\(526\) 3.88569 4.63078i 0.169424 0.201912i
\(527\) 46.0547 21.4757i 2.00618 0.935495i
\(528\) −0.439883 0.205121i −0.0191435 0.00892674i
\(529\) 14.5396 + 17.3276i 0.632155 + 0.753373i
\(530\) 6.84413 + 12.8990i 0.297290 + 0.560296i
\(531\) 1.45007i 0.0629276i
\(532\) −17.7579 8.76103i −0.769903 0.379839i
\(533\) 3.96790 3.96790i 0.171869 0.171869i
\(534\) 1.09594 + 6.21536i 0.0474258 + 0.268965i
\(535\) 3.67545 + 15.9835i 0.158903 + 0.691027i
\(536\) 10.6354 3.87098i 0.459380 0.167201i
\(537\) −2.57407 5.52010i −0.111079 0.238210i
\(538\) −7.00416 + 0.612785i −0.301971 + 0.0264190i
\(539\) 5.73197 + 3.30936i 0.246894 + 0.142544i
\(540\) 0.115085 + 2.23310i 0.00495248 + 0.0960975i
\(541\) −4.72892 + 26.8191i −0.203312 + 1.15304i 0.696761 + 0.717303i \(0.254624\pi\)
−0.900074 + 0.435738i \(0.856487\pi\)
\(542\) −6.85846 9.79490i −0.294596 0.420727i
\(543\) −20.0425 5.37038i −0.860107 0.230465i
\(544\) −2.82195 + 4.88776i −0.120990 + 0.209561i
\(545\) 16.7763 + 6.79505i 0.718619 + 0.291068i
\(546\) −7.38307 + 20.2848i −0.315966 + 0.868110i
\(547\) −3.18876 + 6.83831i −0.136341 + 0.292385i −0.962610 0.270891i \(-0.912682\pi\)
0.826268 + 0.563276i \(0.190459\pi\)
\(548\) 0.127290 1.45493i 0.00543754 0.0621514i
\(549\) −6.24810 + 1.10171i −0.266662 + 0.0470198i
\(550\) 0.383800 2.39624i 0.0163653 0.102176i
\(551\) −2.42267 7.14101i −0.103209 0.304217i
\(552\) 0.436157 + 0.436157i 0.0185641 + 0.0185641i
\(553\) 21.6710 30.9495i 0.921546 1.31610i
\(554\) −4.75762 + 3.99212i −0.202132 + 0.169609i
\(555\) −3.54754 + 2.76668i −0.150585 + 0.117439i
\(556\) −21.1801 7.70893i −0.898237 0.326932i
\(557\) 1.64648 + 18.8194i 0.0697638 + 0.797403i 0.947812 + 0.318831i \(0.103290\pi\)
−0.878048 + 0.478573i \(0.841154\pi\)
\(558\) 2.33032 + 8.69687i 0.0986503 + 0.368168i
\(559\) −25.2225 43.6867i −1.06680 1.84775i
\(560\) −6.12026 + 8.10718i −0.258628 + 0.342591i
\(561\) −2.69769 0.475676i −0.113897 0.0200831i
\(562\) 3.69973 13.8076i 0.156064 0.582438i
\(563\) 2.33444 0.625512i 0.0983850 0.0263622i −0.209291 0.977853i \(-0.567115\pi\)
0.307676 + 0.951491i \(0.400449\pi\)
\(564\) −7.97712 6.69360i −0.335897 0.281851i
\(565\) 5.18890 + 5.57413i 0.218299 + 0.234505i
\(566\) −7.77809 21.3701i −0.326938 0.898254i
\(567\) 4.52549 + 0.395929i 0.190053 + 0.0166274i
\(568\) −9.93563 6.95700i −0.416890 0.291909i
\(569\) −21.7658 −0.912469 −0.456235 0.889859i \(-0.650802\pi\)
−0.456235 + 0.889859i \(0.650802\pi\)
\(570\) 9.48500 + 2.24385i 0.397283 + 0.0939846i
\(571\) 22.9967 0.962384 0.481192 0.876615i \(-0.340204\pi\)
0.481192 + 0.876615i \(0.340204\pi\)
\(572\) 1.88925 + 1.32287i 0.0789936 + 0.0553119i
\(573\) −15.1364 1.32426i −0.632332 0.0553218i
\(574\) −1.83478 5.04103i −0.0765824 0.210408i
\(575\) −1.49989 + 2.69481i −0.0625496 + 0.112381i
\(576\) −0.766044 0.642788i −0.0319185 0.0267828i
\(577\) 28.6956 7.68896i 1.19461 0.320095i 0.393905 0.919151i \(-0.371124\pi\)
0.800707 + 0.599056i \(0.204457\pi\)
\(578\) −3.84441 + 14.3475i −0.159906 + 0.596778i
\(579\) −1.52652 0.269166i −0.0634398 0.0111862i
\(580\) −3.83116 + 0.535038i −0.159080 + 0.0222162i
\(581\) 35.1758 + 60.9263i 1.45934 + 2.52765i
\(582\) −0.329165 1.22846i −0.0136443 0.0509214i
\(583\) −0.276244 3.15748i −0.0114408 0.130769i
\(584\) −3.99379 1.45362i −0.165264 0.0601512i
\(585\) 1.30409 10.5452i 0.0539175 0.435989i
\(586\) −8.58588 + 7.20441i −0.354679 + 0.297611i
\(587\) 22.4895 32.1184i 0.928242 1.32567i −0.0171917 0.999852i \(-0.505473\pi\)
0.945434 0.325815i \(-0.105639\pi\)
\(588\) 9.64267 + 9.64267i 0.397657 + 0.397657i
\(589\) 39.2366 + 0.862907i 1.61671 + 0.0355554i
\(590\) 1.47455 2.88777i 0.0607064 0.118887i
\(591\) 21.3771 3.76936i 0.879338 0.155051i
\(592\) 0.175352 2.00428i 0.00720693 0.0823755i
\(593\) −13.3712 + 28.6747i −0.549091 + 1.17753i 0.414475 + 0.910061i \(0.363965\pi\)
−0.963566 + 0.267470i \(0.913813\pi\)
\(594\) 0.166002 0.456087i 0.00681114 0.0187135i
\(595\) −21.5226 + 53.1372i −0.882340 + 2.17841i
\(596\) 7.19336 12.4593i 0.294651 0.510351i
\(597\) 3.53485 + 0.947161i 0.144672 + 0.0387647i
\(598\) −1.68118 2.40097i −0.0687484 0.0981829i
\(599\) 4.62077 26.2057i 0.188799 1.07074i −0.732176 0.681115i \(-0.761495\pi\)
0.920976 0.389620i \(-0.127394\pi\)
\(600\) 2.04162 4.56418i 0.0833489 0.186332i
\(601\) −24.8169 14.3280i −1.01230 0.584453i −0.100437 0.994943i \(-0.532024\pi\)
−0.911865 + 0.410491i \(0.865357\pi\)
\(602\) −48.0419 + 4.20312i −1.95804 + 0.171306i
\(603\) 4.78318 + 10.2576i 0.194786 + 0.417721i
\(604\) −2.78602 + 1.01403i −0.113362 + 0.0412602i
\(605\) 12.7729 20.4014i 0.519292 0.829435i
\(606\) 3.10138 + 17.5888i 0.125985 + 0.714497i
\(607\) 11.9613 11.9613i 0.485496 0.485496i −0.421386 0.906882i \(-0.638456\pi\)
0.906882 + 0.421386i \(0.138456\pi\)
\(608\) −3.62471 + 2.42105i −0.147001 + 0.0981865i
\(609\) 7.85888i 0.318458i
\(610\) 13.5632 + 4.15959i 0.549158 + 0.168417i
\(611\) 31.8071 + 37.9062i 1.28678 + 1.53352i
\(612\) −5.11511 2.38522i −0.206766 0.0964167i
\(613\) 17.7486 8.27629i 0.716858 0.334276i −0.0297348 0.999558i \(-0.509466\pi\)
0.746593 + 0.665282i \(0.231688\pi\)
\(614\) 10.9879 13.0948i 0.443434 0.528464i
\(615\) 1.43623 + 2.21581i 0.0579143 + 0.0893503i
\(616\) 1.90947 1.10243i 0.0769348 0.0444183i
\(617\) 18.4373 12.9099i 0.742258 0.519735i −0.140201 0.990123i \(-0.544775\pi\)
0.882460 + 0.470388i \(0.155886\pi\)
\(618\) 10.2551 7.18073i 0.412522 0.288851i
\(619\) −21.5288 + 12.4297i −0.865316 + 0.499591i −0.865789 0.500409i \(-0.833183\pi\)
0.000472715 1.00000i \(0.499850\pi\)
\(620\) 4.20296 19.6892i 0.168795 0.790737i
\(621\) −0.396484 + 0.472511i −0.0159103 + 0.0189612i
\(622\) −0.531338 + 0.247767i −0.0213047 + 0.00993455i
\(623\) −25.9844 12.1167i −1.04104 0.485445i
\(624\) 3.05444 + 3.64014i 0.122275 + 0.145722i
\(625\) 24.7445 + 3.56541i 0.989778 + 0.142616i
\(626\) 4.28729i 0.171355i
\(627\) −1.70592 1.25128i −0.0681278 0.0499714i
\(628\) 2.06246 2.06246i 0.0823010 0.0823010i
\(629\) −1.97181 11.1827i −0.0786212 0.445883i
\(630\) −8.60975 5.39038i −0.343021 0.214758i
\(631\) 6.38075 2.32240i 0.254014 0.0924535i −0.211875 0.977297i \(-0.567957\pi\)
0.465889 + 0.884843i \(0.345735\pi\)
\(632\) −3.51492 7.53777i −0.139816 0.299837i
\(633\) −10.1678 + 0.889568i −0.404134 + 0.0353571i
\(634\) 14.5371 + 8.39300i 0.577342 + 0.333329i
\(635\) 1.37016 0.0706123i 0.0543730 0.00280216i
\(636\) 1.13398 6.43112i 0.0449652 0.255010i
\(637\) −37.1679 53.0812i −1.47264 2.10315i
\(638\) 0.811044 + 0.217319i 0.0321096 + 0.00860373i
\(639\) 6.06458 10.5042i 0.239911 0.415538i
\(640\) 0.871911 + 2.05907i 0.0344653 + 0.0813919i
\(641\) −1.03740 + 2.85024i −0.0409749 + 0.112578i −0.958493 0.285117i \(-0.907967\pi\)
0.917518 + 0.397695i \(0.130190\pi\)
\(642\) 3.09973 6.64740i 0.122337 0.262352i
\(643\) 1.43283 16.3773i 0.0565052 0.645858i −0.914149 0.405378i \(-0.867140\pi\)
0.970654 0.240479i \(-0.0773046\pi\)
\(644\) −2.75950 + 0.486574i −0.108740 + 0.0191737i
\(645\) 22.5823 7.31574i 0.889178 0.288057i
\(646\) −16.2239 + 18.4934i −0.638320 + 0.727612i
\(647\) 1.41192 + 1.41192i 0.0555082 + 0.0555082i 0.734316 0.678808i \(-0.237503\pi\)
−0.678808 + 0.734316i \(0.737503\pi\)
\(648\) 0.573576 0.819152i 0.0225322 0.0321793i
\(649\) −0.539143 + 0.452395i −0.0211632 + 0.0177580i
\(650\) −13.3203 + 19.6742i −0.522464 + 0.771687i
\(651\) −38.4349 13.9892i −1.50638 0.548279i
\(652\) −1.56774 17.9194i −0.0613975 0.701777i
\(653\) −6.17697 23.0528i −0.241723 0.902124i −0.975002 0.222196i \(-0.928678\pi\)
0.733279 0.679928i \(-0.237989\pi\)
\(654\) −4.04733 7.01019i −0.158263 0.274120i
\(655\) 5.28791 + 37.8643i 0.206616 + 1.47948i
\(656\) −1.16296 0.205061i −0.0454058 0.00800627i
\(657\) 1.10001 4.10528i 0.0429154 0.160162i
\(658\) 45.6938 12.2436i 1.78133 0.477306i
\(659\) −0.0731906 0.0614142i −0.00285110 0.00239236i 0.641361 0.767239i \(-0.278370\pi\)
−0.644212 + 0.764847i \(0.722815\pi\)
\(660\) −0.794375 + 0.739477i −0.0309210 + 0.0287841i
\(661\) −11.1624 30.6684i −0.434166 1.19286i −0.943232 0.332134i \(-0.892231\pi\)
0.509066 0.860727i \(-0.329991\pi\)
\(662\) 32.5764 + 2.85007i 1.26612 + 0.110771i
\(663\) 21.9689 + 15.3828i 0.853201 + 0.597418i
\(664\) 15.4865 0.600992
\(665\) −33.0642 + 29.4491i −1.28218 + 1.14199i
\(666\) 2.01194 0.0779611
\(667\) −0.874101 0.612052i −0.0338453 0.0236988i
\(668\) −1.04013 0.0909998i −0.0402439 0.00352089i
\(669\) −0.0286584 0.0787383i −0.00110800 0.00304420i
\(670\) 0.905219 25.2916i 0.0349717 0.977099i
\(671\) −2.35891 1.97936i −0.0910648 0.0764125i
\(672\) 4.38798 1.17576i 0.169270 0.0453558i
\(673\) 4.26702 15.9247i 0.164481 0.613853i −0.833624 0.552332i \(-0.813738\pi\)
0.998106 0.0615212i \(-0.0195952\pi\)
\(674\) −18.8062 3.31605i −0.724389 0.127729i
\(675\) 4.72476 + 1.63606i 0.181856 + 0.0629720i
\(676\) −4.79011 8.29671i −0.184235 0.319104i
\(677\) 8.63736 + 32.2351i 0.331961 + 1.23889i 0.907127 + 0.420857i \(0.138271\pi\)
−0.575166 + 0.818037i \(0.695063\pi\)
\(678\) −0.296830 3.39279i −0.0113997 0.130299i
\(679\) 5.42906 + 1.97602i 0.208348 + 0.0758325i
\(680\) 7.76109 + 9.95157i 0.297624 + 0.381625i
\(681\) 14.8990 12.5018i 0.570931 0.479068i
\(682\) −2.50652 + 3.57969i −0.0959798 + 0.137073i
\(683\) −8.38881 8.38881i −0.320989 0.320989i 0.528157 0.849146i \(-0.322883\pi\)
−0.849146 + 0.528157i \(0.822883\pi\)
\(684\) −2.72775 3.39991i −0.104298 0.129999i
\(685\) −2.90851 1.48515i −0.111128 0.0567445i
\(686\) −29.6914 + 5.23539i −1.13362 + 0.199888i
\(687\) 1.03458 11.8253i 0.0394717 0.451164i
\(688\) −4.48645 + 9.62122i −0.171044 + 0.366806i
\(689\) −10.6133 + 29.1598i −0.404335 + 1.11090i
\(690\) 1.27007 0.537812i 0.0483509 0.0204741i
\(691\) 2.42455 4.19945i 0.0922344 0.159755i −0.816217 0.577746i \(-0.803932\pi\)
0.908451 + 0.417991i \(0.137266\pi\)
\(692\) −1.47118 0.394202i −0.0559260 0.0149853i
\(693\) 1.26466 + 1.80612i 0.0480405 + 0.0686089i
\(694\) −5.21244 + 29.5612i −0.197862 + 1.12213i
\(695\) −33.7565 + 37.4249i −1.28046 + 1.41961i
\(696\) 1.49820 + 0.864987i 0.0567892 + 0.0327872i
\(697\) −6.63951 + 0.580881i −0.251489 + 0.0220025i
\(698\) 0.544238 + 1.16712i 0.0205997 + 0.0441762i
\(699\) 6.11027 2.22396i 0.231112 0.0841177i
\(700\) 11.6646 + 19.4899i 0.440882 + 0.736649i
\(701\) −8.92279 50.6037i −0.337009 1.91127i −0.406421 0.913686i \(-0.633223\pi\)
0.0694117 0.997588i \(-0.477888\pi\)
\(702\) −3.36008 + 3.36008i −0.126818 + 0.126818i
\(703\) 2.45551 8.41906i 0.0926112 0.317531i
\(704\) 0.485357i 0.0182926i
\(705\) −20.5690 + 10.9138i −0.774672 + 0.411037i
\(706\) −12.6208 15.0409i −0.474991 0.566072i
\(707\) −73.5330 34.2890i −2.76549 1.28957i
\(708\) −1.31421 + 0.612826i −0.0493910 + 0.0230314i
\(709\) −2.37213 + 2.82699i −0.0890870 + 0.106170i −0.808746 0.588157i \(-0.799854\pi\)
0.719659 + 0.694327i \(0.244298\pi\)
\(710\) −22.7590 + 14.7517i −0.854128 + 0.553622i
\(711\) 7.20275 4.15851i 0.270124 0.155956i
\(712\) −5.16987 + 3.61998i −0.193749 + 0.135665i
\(713\) 4.54927 3.18543i 0.170371 0.119295i
\(714\) 22.2040 12.8195i 0.830964 0.479757i
\(715\) 4.32760 2.80503i 0.161843 0.104902i
\(716\) 3.91507 4.66579i 0.146313 0.174369i
\(717\) 19.5862 9.13322i 0.731462 0.341086i
\(718\) −17.7053 8.25613i −0.660757 0.308116i
\(719\) −25.3814 30.2483i −0.946566 1.12807i −0.991633 0.129089i \(-0.958795\pi\)
0.0450673 0.998984i \(-0.485650\pi\)
\(720\) −1.97524 + 1.04805i −0.0736130 + 0.0390586i
\(721\) 56.8719i 2.11802i
\(722\) −17.5562 + 7.26494i −0.653375 + 0.270373i
\(723\) 0.873729 0.873729i 0.0324943 0.0324943i
\(724\) −3.60312 20.4343i −0.133909 0.759435i
\(725\) −2.10718 + 8.38928i −0.0782588 + 0.311570i
\(726\) −10.1153 + 3.68165i −0.375412 + 0.136639i
\(727\) 13.4727 + 28.8922i 0.499673 + 1.07155i 0.980820 + 0.194913i \(0.0624425\pi\)
−0.481147 + 0.876640i \(0.659780\pi\)
\(728\) −21.5045 + 1.88140i −0.797010 + 0.0697293i
\(729\) 0.866025 + 0.500000i 0.0320750 + 0.0185185i
\(730\) −6.36523 + 7.05696i −0.235588 + 0.261190i
\(731\) −10.4041 + 59.0046i −0.384809 + 2.18236i
\(732\) −3.63905 5.19710i −0.134503 0.192090i
\(733\) −2.35882 0.632045i −0.0871251 0.0233451i 0.214993 0.976616i \(-0.431027\pi\)
−0.302118 + 0.953270i \(0.597694\pi\)
\(734\) −9.19543 + 15.9269i −0.339409 + 0.587874i
\(735\) 28.0791 11.8901i 1.03571 0.438572i
\(736\) −0.210965 + 0.579620i −0.00777626 + 0.0213651i
\(737\) −2.32155 + 4.97859i −0.0855155 + 0.183389i
\(738\) 0.102922 1.17640i 0.00378861 0.0433040i
\(739\) 14.3368 2.52797i 0.527389 0.0929929i 0.0963871 0.995344i \(-0.469271\pi\)
0.431002 + 0.902351i \(0.358160\pi\)
\(740\) −4.00671 2.04591i −0.147290 0.0752092i
\(741\) 9.95954 + 18.1613i 0.365873 + 0.667171i
\(742\) 20.9769 + 20.9769i 0.770086 + 0.770086i
\(743\) 29.1773 41.6695i 1.07041 1.52871i 0.240629 0.970617i \(-0.422646\pi\)
0.829782 0.558088i \(-0.188465\pi\)
\(744\) −6.89720 + 5.78744i −0.252864 + 0.212178i
\(745\) −19.7836 25.3673i −0.724814 0.929384i
\(746\) 12.9682 + 4.72004i 0.474800 + 0.172813i
\(747\) 1.34974 + 15.4276i 0.0493843 + 0.564465i
\(748\) −0.708985 2.64597i −0.0259231 0.0967462i
\(749\) 16.6597 + 28.8554i 0.608732 + 1.05435i
\(750\) −7.74551 8.06269i −0.282826 0.294408i
\(751\) 41.8234 + 7.37460i 1.52616 + 0.269103i 0.872850 0.487989i \(-0.162269\pi\)
0.653309 + 0.757092i \(0.273380\pi\)
\(752\) 2.69518 10.0586i 0.0982832 0.366798i
\(753\) 1.43114 0.383472i 0.0521535 0.0139745i
\(754\) −6.29734 5.28410i −0.229336 0.192436i
\(755\) −0.237128 + 6.62530i −0.00862998 + 0.241119i
\(756\) 1.55372 + 4.26881i 0.0565083 + 0.155255i
\(757\) −14.7504 1.29049i −0.536111 0.0469036i −0.184114 0.982905i \(-0.558942\pi\)
−0.351997 + 0.936001i \(0.614497\pi\)
\(758\) −24.4689 17.1333i −0.888751 0.622310i
\(759\) −0.299378 −0.0108667
\(760\) 1.97491 + 9.54462i 0.0716376 + 0.346220i
\(761\) 3.75314 0.136051 0.0680257 0.997684i \(-0.478330\pi\)
0.0680257 + 0.997684i \(0.478330\pi\)
\(762\) −0.502603 0.351927i −0.0182074 0.0127490i
\(763\) 36.6323 + 3.20491i 1.32618 + 0.116026i
\(764\) −5.19672 14.2779i −0.188011 0.516556i
\(765\) −9.23727 + 8.59889i −0.333974 + 0.310894i
\(766\) 2.28874 + 1.92048i 0.0826954 + 0.0693897i
\(767\) 6.65574 1.78340i 0.240325 0.0643949i
\(768\) 0.258819 0.965926i 0.00933933 0.0348548i
\(769\) 26.9574 + 4.75332i 0.972110 + 0.171409i 0.637080 0.770798i \(-0.280142\pi\)
0.335031 + 0.942207i \(0.391253\pi\)
\(770\) −0.681911 4.88285i −0.0245744 0.175966i
\(771\) −12.8745 22.2994i −0.463665 0.803092i
\(772\) −0.401186 1.49725i −0.0144390 0.0538871i
\(773\) 1.47762 + 16.8892i 0.0531462 + 0.607463i 0.975336 + 0.220726i \(0.0708426\pi\)
−0.922190 + 0.386738i \(0.873602\pi\)
\(774\) −9.97563 3.63083i −0.358567 0.130508i
\(775\) −37.2780 25.2388i −1.33907 0.906604i
\(776\) 0.974253 0.817495i 0.0349736 0.0293464i
\(777\) −5.24237 + 7.48687i −0.188069 + 0.268590i
\(778\) 17.6793 + 17.6793i 0.633832 + 0.633832i
\(779\) −4.79711 1.86644i −0.171874 0.0668723i
\(780\) 10.1083 3.27467i 0.361935 0.117252i
\(781\) 5.79754 1.02226i 0.207452 0.0365794i
\(782\) −0.303412 + 3.46802i −0.0108500 + 0.124016i
\(783\) −0.731118 + 1.56789i −0.0261280 + 0.0560318i
\(784\) −4.66406 + 12.8144i −0.166573 + 0.457657i
\(785\) −2.54315 6.00580i −0.0907690 0.214356i
\(786\) 8.54888 14.8071i 0.304928 0.528151i
\(787\) 45.1787 + 12.1056i 1.61045 + 0.431518i 0.948175 0.317748i \(-0.102927\pi\)
0.662270 + 0.749265i \(0.269593\pi\)
\(788\) 12.4506 + 17.7813i 0.443533 + 0.633431i
\(789\) −1.04971 + 5.95322i −0.0373708 + 0.211940i
\(790\) −18.5728 + 0.957165i −0.660789 + 0.0340544i
\(791\) 13.3987 + 7.73577i 0.476405 + 0.275052i
\(792\) 0.483510 0.0423017i 0.0171808 0.00150312i
\(793\) 12.7412 + 27.3235i 0.452452 + 0.970286i
\(794\) 20.1840 7.34637i 0.716303 0.260713i
\(795\) −12.3767 7.74878i −0.438956 0.274821i
\(796\) 0.635474 + 3.60395i 0.0225238 + 0.127739i
\(797\) 5.37410 5.37410i 0.190361 0.190361i −0.605491 0.795852i \(-0.707023\pi\)
0.795852 + 0.605491i \(0.207023\pi\)
\(798\) 19.7593 1.29168i 0.699472 0.0457248i
\(799\) 58.7722i 2.07921i
\(800\) 4.99938 0.0785686i 0.176755 0.00277782i
\(801\) −4.05679 4.83470i −0.143340 0.170826i
\(802\) −3.63478 1.69492i −0.128348 0.0598499i
\(803\) 1.86955 0.871784i 0.0659749 0.0307646i
\(804\) −7.27506 + 8.67008i −0.256571 + 0.305770i
\(805\) −1.30802 + 6.12757i −0.0461018 + 0.215968i
\(806\) 37.0522 21.3921i 1.30511 0.753504i
\(807\) 5.75939 4.03277i 0.202740 0.141960i
\(808\) −14.6302 + 10.2442i −0.514688 + 0.360388i
\(809\) 7.19773 4.15561i 0.253059 0.146103i −0.368105 0.929784i \(-0.619993\pi\)
0.621164 + 0.783681i \(0.286660\pi\)
\(810\) −1.21622 1.87638i −0.0427336 0.0659294i
\(811\) 6.14689 7.32558i 0.215846 0.257236i −0.647247 0.762281i \(-0.724080\pi\)
0.863093 + 0.505045i \(0.168524\pi\)
\(812\) −7.12256 + 3.32131i −0.249953 + 0.116555i
\(813\) 10.8371 + 5.05340i 0.380072 + 0.177231i
\(814\) 0.627688 + 0.748050i 0.0220005 + 0.0262191i
\(815\) −38.4542 11.7932i −1.34699 0.413098i
\(816\) 5.64390i 0.197576i
\(817\) −27.3683 + 37.3122i −0.957497 + 1.30539i
\(818\) −7.43651 + 7.43651i −0.260012 + 0.260012i
\(819\) −3.74848 21.2587i −0.130983 0.742839i
\(820\) −1.40123 + 2.23811i −0.0489332 + 0.0781582i
\(821\) −0.377129 + 0.137264i −0.0131619 + 0.00479053i −0.348593 0.937274i \(-0.613340\pi\)
0.335431 + 0.942065i \(0.391118\pi\)
\(822\) 0.617227 + 1.32365i 0.0215283 + 0.0461675i
\(823\) 31.7454 2.77736i 1.10658 0.0968129i 0.480811 0.876824i \(-0.340342\pi\)
0.625765 + 0.780012i \(0.284787\pi\)
\(824\) 10.8420 + 6.25961i 0.377697 + 0.218064i
\(825\) 0.865741 + 2.26711i 0.0301412 + 0.0789306i
\(826\) 1.14388 6.48726i 0.0398006 0.225721i
\(827\) −20.6171 29.4443i −0.716928 1.02388i −0.997939 0.0641747i \(-0.979559\pi\)
0.281011 0.959705i \(-0.409330\pi\)
\(828\) −0.595802 0.159645i −0.0207055 0.00554803i
\(829\) −8.79341 + 15.2306i −0.305408 + 0.528982i −0.977352 0.211620i \(-0.932126\pi\)
0.671944 + 0.740602i \(0.265459\pi\)
\(830\) 13.0001 32.0960i 0.451240 1.11407i
\(831\) 2.12416 5.83608i 0.0736863 0.202451i
\(832\) −2.00822 + 4.30665i −0.0696227 + 0.149306i
\(833\) −6.70792 + 76.6718i −0.232416 + 2.65652i
\(834\) 22.1970 3.91393i 0.768619 0.135528i
\(835\) −1.06174 + 2.07930i −0.0367429 + 0.0719572i
\(836\) 0.413095 2.07490i 0.0142872 0.0717619i
\(837\) −6.36655 6.36655i −0.220060 0.220060i
\(838\) −3.41984 + 4.88404i −0.118137 + 0.168716i
\(839\) 19.9709 16.7576i 0.689471 0.578535i −0.229285 0.973359i \(-0.573639\pi\)
0.918757 + 0.394824i \(0.129194\pi\)
\(840\) 1.24671 10.0812i 0.0430155 0.347833i
\(841\) 24.4388 + 8.89498i 0.842716 + 0.306724i
\(842\) 3.12795 + 35.7526i 0.107796 + 1.23212i
\(843\) 3.69973 + 13.8076i 0.127425 + 0.475558i
\(844\) −5.10332 8.83921i −0.175664 0.304258i
\(845\) −21.2161 + 2.96292i −0.729857 + 0.101928i
\(846\) 10.2552 + 1.80827i 0.352581 + 0.0621695i
\(847\) 12.6563 47.2341i 0.434877 1.62298i
\(848\) 6.30781 1.69017i 0.216611 0.0580408i
\(849\) 17.4211 + 14.6180i 0.597890 + 0.501690i
\(850\) 27.1398 7.73117i 0.930888 0.265177i
\(851\) −0.424448 1.16616i −0.0145499 0.0399755i
\(852\) 12.0830 + 1.05713i 0.413957 + 0.0362166i
\(853\) 33.9007 + 23.7375i 1.16074 + 0.812757i 0.985148 0.171706i \(-0.0549280\pi\)
0.175589 + 0.984464i \(0.443817\pi\)
\(854\) 28.8216 0.986254
\(855\) −9.33617 + 2.79927i −0.319290 + 0.0957329i
\(856\) 7.33459 0.250691
\(857\) 2.57411 + 1.80241i 0.0879298 + 0.0615691i 0.616715 0.787187i \(-0.288463\pi\)
−0.528785 + 0.848756i \(0.677352\pi\)
\(858\) −2.29758 0.201012i −0.0784379 0.00686243i
\(859\) −16.8900 46.4049i −0.576280 1.58332i −0.794401 0.607394i \(-0.792215\pi\)
0.218121 0.975922i \(-0.430007\pi\)
\(860\) 16.1740 + 17.3748i 0.551529 + 0.592475i
\(861\) 4.10948 + 3.44826i 0.140051 + 0.117517i
\(862\) 9.98332 2.67502i 0.340033 0.0911116i
\(863\) −4.18619 + 15.6231i −0.142499 + 0.531815i 0.857354 + 0.514726i \(0.172107\pi\)
−0.999854 + 0.0170889i \(0.994560\pi\)
\(864\) 0.984808 + 0.173648i 0.0335038 + 0.00590763i
\(865\) −2.05197 + 2.71814i −0.0697691 + 0.0924195i
\(866\) −13.3417 23.1086i −0.453371 0.785261i
\(867\) −3.84441 14.3475i −0.130563 0.487267i
\(868\) −3.56481 40.7459i −0.120997 1.38301i
\(869\) 3.79328 + 1.38064i 0.128678 + 0.0468350i
\(870\) 3.05036 2.37894i 0.103417 0.0806535i
\(871\) 41.1990 34.5701i 1.39598 1.17136i
\(872\) 4.64291 6.63076i 0.157229 0.224546i
\(873\) 0.899296 + 0.899296i 0.0304366 + 0.0304366i
\(874\) −1.39520 + 2.29832i −0.0471932 + 0.0777419i
\(875\) 50.1850 7.81439i 1.69656 0.264175i
\(876\) 4.18553 0.738022i 0.141416 0.0249355i
\(877\) −3.80642 + 43.5076i −0.128534 + 1.46915i 0.608642 + 0.793445i \(0.291715\pi\)
−0.737175 + 0.675702i \(0.763841\pi\)
\(878\) 15.0794 32.3379i 0.508906 1.09135i
\(879\) 3.83338 10.5321i 0.129297 0.355240i
\(880\) −1.00591 0.407432i −0.0339093 0.0137345i
\(881\) 25.2901 43.8037i 0.852044 1.47578i −0.0273160 0.999627i \(-0.508696\pi\)
0.879360 0.476157i \(-0.157971\pi\)
\(882\) −13.1721 3.52946i −0.443529 0.118843i
\(883\) −0.770743 1.10074i −0.0259376 0.0370427i 0.805974 0.591951i \(-0.201642\pi\)
−0.831911 + 0.554908i \(0.812753\pi\)
\(884\) −4.65708 + 26.4116i −0.156635 + 0.888319i
\(885\) 0.166881 + 3.23815i 0.00560966 + 0.108849i
\(886\) −22.1351 12.7797i −0.743644 0.429343i
\(887\) 14.7374 1.28936i 0.494834 0.0432924i 0.162992 0.986627i \(-0.447885\pi\)
0.331842 + 0.943335i \(0.392330\pi\)
\(888\) 0.850282 + 1.82344i 0.0285336 + 0.0611905i
\(889\) 2.61919 0.953309i 0.0878449 0.0319729i
\(890\) 3.16264 + 13.7534i 0.106012 + 0.461016i
\(891\) 0.0842814 + 0.477984i 0.00282353 + 0.0160131i
\(892\) 0.0592496 0.0592496i 0.00198382 0.00198382i
\(893\) 20.0829 40.7064i 0.672049 1.36219i
\(894\) 14.3867i 0.481164i
\(895\) −6.38344 12.0307i −0.213375 0.402143i
\(896\) 2.92004 + 3.47997i 0.0975516 + 0.116258i
\(897\) 2.65643 + 1.23871i 0.0886955 + 0.0413594i
\(898\) 29.4352 13.7259i 0.982267 0.458038i
\(899\) 10.0121 11.9320i 0.333923 0.397954i
\(900\) 0.513995 + 4.97351i 0.0171332 + 0.165784i
\(901\) 31.9187 18.4283i 1.06337 0.613935i
\(902\) 0.469503 0.328749i 0.0156327 0.0109462i
\(903\) 39.5039 27.6609i 1.31461 0.920499i
\(904\) 2.94946 1.70287i 0.0980977 0.0566367i
\(905\) −45.3751 9.68602i −1.50832 0.321974i
\(906\) 1.90575 2.27118i 0.0633143 0.0754550i
\(907\) −35.1529 + 16.3921i −1.16723 + 0.544290i −0.906948 0.421242i \(-0.861594\pi\)
−0.260285 + 0.965532i \(0.583816\pi\)
\(908\) 17.6270 + 8.21962i 0.584974 + 0.272778i
\(909\) −11.4803 13.6817i −0.380777 0.453792i
\(910\) −14.1527 + 46.1478i −0.469157 + 1.52978i
\(911\) 42.5923i 1.41115i −0.708637 0.705573i \(-0.750690\pi\)
0.708637 0.705573i \(-0.249310\pi\)
\(912\) 1.92857 3.90905i 0.0638612 0.129441i
\(913\) −5.31495 + 5.31495i −0.175899 + 0.175899i
\(914\) 3.26503 + 18.5169i 0.107997 + 0.612484i
\(915\) −13.8259 + 3.17929i −0.457069 + 0.105104i
\(916\) 11.1546 4.05994i 0.368559 0.134144i
\(917\) 32.8253 + 70.3940i 1.08399 + 2.32462i
\(918\) 5.62243 0.491899i 0.185568 0.0162351i
\(919\) −4.24434 2.45047i −0.140008 0.0808336i 0.428360 0.903608i \(-0.359092\pi\)
−0.568368 + 0.822775i \(0.692425\pi\)
\(920\) 1.02418 + 0.923789i 0.0337662 + 0.0304564i
\(921\) −2.96836 + 16.8344i −0.0978107 + 0.554712i
\(922\) −10.7485 15.3504i −0.353983 0.505540i
\(923\) −55.6722 14.9173i −1.83247 0.491010i
\(924\) −1.10243 + 1.90947i −0.0362674 + 0.0628170i
\(925\) −7.60362 + 6.58654i −0.250005 + 0.216564i
\(926\) −1.53622 + 4.22072i −0.0504832 + 0.138702i
\(927\) −5.29085 + 11.3463i −0.173774 + 0.372660i
\(928\) −0.150777 + 1.72339i −0.00494950 + 0.0565731i
\(929\) −32.7763 + 5.77935i −1.07536 + 0.189614i −0.683161 0.730267i \(-0.739395\pi\)
−0.392196 + 0.919882i \(0.628284\pi\)
\(930\) 6.20473 + 19.1528i 0.203461 + 0.628046i
\(931\) −30.8454 + 50.8118i −1.01092 + 1.66529i
\(932\) 4.59790 + 4.59790i 0.150609 + 0.150609i
\(933\) 0.336269 0.480241i 0.0110089 0.0157224i
\(934\) 16.1794 13.5761i 0.529406 0.444224i
\(935\) −6.07897 0.751770i −0.198804 0.0245855i
\(936\) −4.46529 1.62523i −0.145953 0.0531224i
\(937\) −0.287966 3.29147i −0.00940744 0.107527i 0.990039 0.140792i \(-0.0449650\pi\)
−0.999447 + 0.0332650i \(0.989409\pi\)
\(938\) −13.3072 49.6631i −0.434495 1.62156i
\(939\) −2.14365 3.71290i −0.0699552 0.121166i
\(940\) −18.5841 14.0295i −0.606146 0.457590i
\(941\) −44.5962 7.86351i −1.45379 0.256343i −0.609741 0.792601i \(-0.708726\pi\)
−0.844054 + 0.536258i \(0.819837\pi\)
\(942\) −0.754911 + 2.81737i −0.0245963 + 0.0917948i
\(943\) −0.703580 + 0.188524i −0.0229117 + 0.00613918i
\(944\) −1.11082 0.932086i −0.0361540 0.0303368i
\(945\) 10.1515 + 0.363334i 0.330227 + 0.0118192i
\(946\) −1.76225 4.84174i −0.0572957 0.157419i
\(947\) −38.4896 3.36741i −1.25074 0.109426i −0.557530 0.830157i \(-0.688251\pi\)
−0.693215 + 0.720731i \(0.743806\pi\)
\(948\) 6.81290 + 4.77044i 0.221273 + 0.154937i
\(949\) −20.1959 −0.655587
\(950\) 21.4392 + 3.91917i 0.695580 + 0.127155i
\(951\) −16.7860 −0.544323
\(952\) 21.0022 + 14.7059i 0.680686 + 0.476621i
\(953\) 6.11113 + 0.534655i 0.197959 + 0.0173192i 0.185704 0.982606i \(-0.440543\pi\)
0.0122550 + 0.999925i \(0.496099\pi\)
\(954\) 2.23350 + 6.13650i 0.0723123 + 0.198677i
\(955\) −33.9535 1.21524i −1.09871 0.0393243i
\(956\) 16.5550 + 13.8913i 0.535427 + 0.449277i
\(957\) −0.811044 + 0.217319i −0.0262173 + 0.00702492i
\(958\) 0.826538 3.08468i 0.0267042 0.0996615i
\(959\) −6.53385 1.15209i −0.210989 0.0372031i
\(960\) −1.78463 1.34725i −0.0575988 0.0434824i
\(961\) 25.0329 + 43.3583i 0.807514 + 1.39866i
\(962\) −2.47443 9.23470i −0.0797788 0.297739i
\(963\) 0.639252 + 7.30668i 0.0205996 + 0.235455i
\(964\) 1.16112 + 0.422613i 0.0373972 + 0.0136115i
\(965\) −3.43985 0.425396i −0.110733 0.0136940i
\(966\) 2.14651 1.80114i 0.0690628 0.0579506i
\(967\) 0.808575 1.15477i 0.0260020 0.0371347i −0.805941 0.591996i \(-0.798340\pi\)
0.831943 + 0.554862i \(0.187229\pi\)
\(968\) −7.61160 7.61160i −0.244646 0.244646i
\(969\) 4.80361 24.1277i 0.154314 0.775092i
\(970\) −0.876438 2.70540i −0.0281407 0.0868652i
\(971\) −37.4318 + 6.60023i −1.20124 + 0.211812i −0.738236 0.674543i \(-0.764341\pi\)
−0.463007 + 0.886354i \(0.653230\pi\)
\(972\) −0.0871557 + 0.996195i −0.00279552 + 0.0319530i
\(973\) −43.2725 + 92.7982i −1.38725 + 2.97497i
\(974\) 11.0473 30.3522i 0.353979 0.972549i
\(975\) 1.69858 23.6985i 0.0543981 0.758960i
\(976\) 3.17224 5.49449i 0.101541 0.175874i
\(977\) 33.3547 + 8.93736i 1.06711 + 0.285931i 0.749305 0.662225i \(-0.230388\pi\)
0.317805 + 0.948156i \(0.397054\pi\)
\(978\) 10.3174 + 14.7348i 0.329914 + 0.471166i
\(979\) 0.531921 3.01667i 0.0170003 0.0964132i
\(980\) 22.6428 + 20.4234i 0.723298 + 0.652400i
\(981\) 7.01019 + 4.04733i 0.223818 + 0.129221i
\(982\) 31.6038 2.76498i 1.00852 0.0882339i
\(983\) −6.08366 13.0464i −0.194039 0.416117i 0.785084 0.619390i \(-0.212620\pi\)
−0.979122 + 0.203273i \(0.934842\pi\)
\(984\) 1.10968 0.403891i 0.0353753 0.0128756i
\(985\) 47.3036 10.8776i 1.50722 0.346588i
\(986\) 1.69547 + 9.61547i 0.0539947 + 0.306219i
\(987\) −33.4502 + 33.4502i −1.06473 + 1.06473i
\(988\) −12.2506 + 16.7017i −0.389744 + 0.531352i
\(989\) 6.54806i 0.208216i
\(990\) 0.318211 1.03759i 0.0101134 0.0329769i
\(991\) −25.8937 30.8589i −0.822539 0.980264i 0.177454 0.984129i \(-0.443214\pi\)
−0.999993 + 0.00386538i \(0.998770\pi\)
\(992\) −8.16009 3.80511i −0.259083 0.120812i
\(993\) −29.6370 + 13.8200i −0.940502 + 0.438563i
\(994\) −35.4176 + 42.2091i −1.12338 + 1.33879i
\(995\) 8.00270 + 1.70830i 0.253703 + 0.0541567i
\(996\) −13.4117 + 7.74324i −0.424966 + 0.245354i
\(997\) 34.1291 23.8974i 1.08088 0.756839i 0.109407 0.993997i \(-0.465105\pi\)
0.971471 + 0.237158i \(0.0762158\pi\)
\(998\) 11.4654 8.02819i 0.362932 0.254128i
\(999\) −1.74239 + 1.00597i −0.0551268 + 0.0318275i
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 570.2.bh.a.67.5 120
5.3 odd 4 inner 570.2.bh.a.523.5 yes 120
19.2 odd 18 inner 570.2.bh.a.97.5 yes 120
95.78 even 36 inner 570.2.bh.a.553.5 yes 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.bh.a.67.5 120 1.1 even 1 trivial
570.2.bh.a.97.5 yes 120 19.2 odd 18 inner
570.2.bh.a.523.5 yes 120 5.3 odd 4 inner
570.2.bh.a.553.5 yes 120 95.78 even 36 inner