Properties

Label 930.2.bj.a.277.12
Level $930$
Weight $2$
Character 930.277
Analytic conductor $7.426$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(277,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.277");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bj (of order \(20\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 277.12
Character \(\chi\) \(=\) 930.277
Dual form 930.2.bj.a.883.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.683297 - 2.12911i) q^{5} -1.00000i q^{6} +(-2.06274 + 4.04835i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.683297 - 2.12911i) q^{5} -1.00000i q^{6} +(-2.06274 + 4.04835i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(1.99600 - 1.00795i) q^{10} +(-0.585473 + 0.190232i) q^{11} +(0.987688 - 0.156434i) q^{12} +(2.33156 + 0.369283i) q^{13} +(-4.32119 - 1.40404i) q^{14} +(0.341819 + 2.20979i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-2.37271 - 4.65671i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(-1.85847 + 2.55796i) q^{19} +(1.30779 + 1.81375i) q^{20} +(2.67064 - 3.67582i) q^{21} +(-0.279478 - 0.548506i) q^{22} +(8.19436 - 4.17524i) q^{23} +(0.309017 + 0.951057i) q^{24} +(-4.06621 + 2.90963i) q^{25} +2.36062i q^{26} +(-0.891007 - 0.453990i) q^{27} +(0.710771 - 4.48763i) q^{28} +(-6.63389 - 4.81980i) q^{29} +(-2.12911 + 0.683297i) q^{30} +(-0.283400 - 5.56055i) q^{31} +(0.707107 + 0.707107i) q^{32} +(0.608024 - 0.0963015i) q^{33} +(4.22820 - 3.07197i) q^{34} +(10.0288 + 1.62557i) q^{35} -1.00000 q^{36} +(4.51671 - 4.51671i) q^{37} +(-2.81720 - 1.43543i) q^{38} +(-2.24509 - 0.729473i) q^{39} +(-1.58684 + 1.57542i) q^{40} +(-5.27021 - 3.82903i) q^{41} +(4.04835 + 2.06274i) q^{42} +(-1.09267 - 6.89884i) q^{43} +(0.498033 - 0.361842i) q^{44} +(0.00807665 - 2.23605i) q^{45} +(5.40571 + 7.44032i) q^{46} +(12.0101 + 1.90221i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(-8.01975 - 11.0382i) q^{49} +(-3.50990 - 3.56098i) q^{50} +(1.61503 + 4.97055i) q^{51} +(-2.33156 + 0.369283i) q^{52} +(-2.12380 + 1.08213i) q^{53} +(0.309017 - 0.951057i) q^{54} +(0.805076 + 1.11655i) q^{55} +4.54357 q^{56} +(2.23574 - 2.23574i) q^{57} +(3.72269 - 7.30620i) q^{58} +(-3.96706 - 5.46019i) q^{59} +(-1.00795 - 1.99600i) q^{60} -8.64858i q^{61} +(5.44775 - 1.14977i) q^{62} +(-3.21279 + 3.21279i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-0.806905 - 5.21648i) q^{65} +(0.190232 + 0.585473i) q^{66} +(0.578088 + 0.578088i) q^{67} +(3.69558 + 3.69558i) q^{68} +(-8.74663 + 2.84195i) q^{69} +(-0.0366968 + 10.1597i) q^{70} +(-1.53061 + 4.71074i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(2.37274 - 4.65677i) q^{73} +(5.16767 + 3.75453i) q^{74} +(4.47131 - 2.23771i) q^{75} +(0.977055 - 3.00707i) q^{76} +(0.437552 - 2.76260i) q^{77} +(0.369283 - 2.33156i) q^{78} +(0.427361 - 1.31528i) q^{79} +(-1.80426 - 1.32085i) q^{80} +(0.809017 + 0.587785i) q^{81} +(2.95744 - 5.80431i) q^{82} +(-0.0662227 - 0.418114i) q^{83} +(-1.40404 + 4.32119i) q^{84} +(-8.29337 + 8.23367i) q^{85} +(6.64297 - 2.15843i) q^{86} +(5.79823 + 5.79823i) q^{87} +(0.435297 + 0.435297i) q^{88} +(3.02528 + 9.31085i) q^{89} +(2.20979 - 0.341819i) q^{90} +(-6.30438 + 8.67724i) q^{91} +(-6.50308 + 6.50308i) q^{92} +(-0.589950 + 5.53642i) q^{93} +12.1598i q^{94} +(6.71607 + 2.20903i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(-5.06795 + 9.94642i) q^{97} +(9.64778 - 9.64778i) q^{98} -0.615603 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q - 16 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.156434 + 0.987688i 0.110616 + 0.698401i
\(3\) −0.987688 0.156434i −0.570242 0.0903175i
\(4\) −0.951057 + 0.309017i −0.475528 + 0.154508i
\(5\) −0.683297 2.12911i −0.305580 0.952166i
\(6\) 1.00000i 0.408248i
\(7\) −2.06274 + 4.04835i −0.779641 + 1.53013i 0.0668702 + 0.997762i \(0.478699\pi\)
−0.846511 + 0.532370i \(0.821301\pi\)
\(8\) −0.453990 0.891007i −0.160510 0.315018i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 1.99600 1.00795i 0.631192 0.318742i
\(11\) −0.585473 + 0.190232i −0.176527 + 0.0573570i −0.395947 0.918273i \(-0.629584\pi\)
0.219420 + 0.975631i \(0.429584\pi\)
\(12\) 0.987688 0.156434i 0.285121 0.0451587i
\(13\) 2.33156 + 0.369283i 0.646659 + 0.102421i 0.471144 0.882056i \(-0.343841\pi\)
0.175514 + 0.984477i \(0.443841\pi\)
\(14\) −4.32119 1.40404i −1.15489 0.375245i
\(15\) 0.341819 + 2.20979i 0.0882572 + 0.570565i
\(16\) 0.809017 0.587785i 0.202254 0.146946i
\(17\) −2.37271 4.65671i −0.575467 1.12942i −0.976934 0.213544i \(-0.931499\pi\)
0.401467 0.915874i \(-0.368501\pi\)
\(18\) −0.156434 + 0.987688i −0.0368720 + 0.232800i
\(19\) −1.85847 + 2.55796i −0.426362 + 0.586837i −0.967113 0.254345i \(-0.918140\pi\)
0.540751 + 0.841182i \(0.318140\pi\)
\(20\) 1.30779 + 1.81375i 0.292430 + 0.405567i
\(21\) 2.67064 3.67582i 0.582782 0.802131i
\(22\) −0.279478 0.548506i −0.0595849 0.116942i
\(23\) 8.19436 4.17524i 1.70864 0.870597i 0.725392 0.688336i \(-0.241658\pi\)
0.983250 0.182261i \(-0.0583417\pi\)
\(24\) 0.309017 + 0.951057i 0.0630778 + 0.194134i
\(25\) −4.06621 + 2.90963i −0.813242 + 0.581926i
\(26\) 2.36062i 0.462956i
\(27\) −0.891007 0.453990i −0.171474 0.0873705i
\(28\) 0.710771 4.48763i 0.134323 0.848082i
\(29\) −6.63389 4.81980i −1.23188 0.895015i −0.234853 0.972031i \(-0.575461\pi\)
−0.997030 + 0.0770159i \(0.975461\pi\)
\(30\) −2.12911 + 0.683297i −0.388720 + 0.124752i
\(31\) −0.283400 5.56055i −0.0509002 0.998704i
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) 0.608024 0.0963015i 0.105843 0.0167639i
\(34\) 4.22820 3.07197i 0.725131 0.526838i
\(35\) 10.0288 + 1.62557i 1.69518 + 0.274771i
\(36\) −1.00000 −0.166667
\(37\) 4.51671 4.51671i 0.742542 0.742542i −0.230525 0.973067i \(-0.574044\pi\)
0.973067 + 0.230525i \(0.0740442\pi\)
\(38\) −2.81720 1.43543i −0.457010 0.232858i
\(39\) −2.24509 0.729473i −0.359502 0.116809i
\(40\) −1.58684 + 1.57542i −0.250901 + 0.249095i
\(41\) −5.27021 3.82903i −0.823068 0.597994i 0.0945218 0.995523i \(-0.469868\pi\)
−0.917590 + 0.397529i \(0.869868\pi\)
\(42\) 4.04835 + 2.06274i 0.624674 + 0.318287i
\(43\) −1.09267 6.89884i −0.166630 1.05206i −0.919269 0.393630i \(-0.871219\pi\)
0.752639 0.658434i \(-0.228781\pi\)
\(44\) 0.498033 0.361842i 0.0750813 0.0545498i
\(45\) 0.00807665 2.23605i 0.00120400 0.333331i
\(46\) 5.40571 + 7.44032i 0.797029 + 1.09702i
\(47\) 12.0101 + 1.90221i 1.75185 + 0.277467i 0.948210 0.317643i \(-0.102891\pi\)
0.803644 + 0.595110i \(0.202891\pi\)
\(48\) −0.891007 + 0.453990i −0.128606 + 0.0655279i
\(49\) −8.01975 11.0382i −1.14568 1.57689i
\(50\) −3.50990 3.56098i −0.496375 0.503599i
\(51\) 1.61503 + 4.97055i 0.226149 + 0.696016i
\(52\) −2.33156 + 0.369283i −0.323329 + 0.0512103i
\(53\) −2.12380 + 1.08213i −0.291727 + 0.148642i −0.593729 0.804665i \(-0.702345\pi\)
0.302002 + 0.953307i \(0.402345\pi\)
\(54\) 0.309017 0.951057i 0.0420519 0.129422i
\(55\) 0.805076 + 1.11655i 0.108556 + 0.150556i
\(56\) 4.54357 0.607160
\(57\) 2.23574 2.23574i 0.296131 0.296131i
\(58\) 3.72269 7.30620i 0.488814 0.959351i
\(59\) −3.96706 5.46019i −0.516468 0.710857i 0.468526 0.883450i \(-0.344785\pi\)
−0.984993 + 0.172593i \(0.944785\pi\)
\(60\) −1.00795 1.99600i −0.130126 0.257683i
\(61\) 8.64858i 1.10734i −0.832737 0.553669i \(-0.813227\pi\)
0.832737 0.553669i \(-0.186773\pi\)
\(62\) 5.44775 1.14977i 0.691865 0.146021i
\(63\) −3.21279 + 3.21279i −0.404773 + 0.404773i
\(64\) −0.587785 + 0.809017i −0.0734732 + 0.101127i
\(65\) −0.806905 5.21648i −0.100084 0.647024i
\(66\) 0.190232 + 0.585473i 0.0234159 + 0.0720668i
\(67\) 0.578088 + 0.578088i 0.0706247 + 0.0706247i 0.741537 0.670912i \(-0.234097\pi\)
−0.670912 + 0.741537i \(0.734097\pi\)
\(68\) 3.69558 + 3.69558i 0.448155 + 0.448155i
\(69\) −8.74663 + 2.84195i −1.05297 + 0.342131i
\(70\) −0.0366968 + 10.1597i −0.00438611 + 1.21431i
\(71\) −1.53061 + 4.71074i −0.181650 + 0.559062i −0.999875 0.0158373i \(-0.994959\pi\)
0.818224 + 0.574899i \(0.194959\pi\)
\(72\) −0.156434 0.987688i −0.0184360 0.116400i
\(73\) 2.37274 4.65677i 0.277708 0.545033i −0.709454 0.704751i \(-0.751059\pi\)
0.987163 + 0.159718i \(0.0510585\pi\)
\(74\) 5.16767 + 3.75453i 0.600729 + 0.436455i
\(75\) 4.47131 2.23771i 0.516303 0.258389i
\(76\) 0.977055 3.00707i 0.112076 0.344934i
\(77\) 0.437552 2.76260i 0.0498637 0.314827i
\(78\) 0.369283 2.33156i 0.0418131 0.263997i
\(79\) 0.427361 1.31528i 0.0480819 0.147981i −0.924133 0.382071i \(-0.875211\pi\)
0.972215 + 0.234090i \(0.0752110\pi\)
\(80\) −1.80426 1.32085i −0.201722 0.147676i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 2.95744 5.80431i 0.326595 0.640979i
\(83\) −0.0662227 0.418114i −0.00726889 0.0458940i 0.983787 0.179339i \(-0.0573960\pi\)
−0.991056 + 0.133445i \(0.957396\pi\)
\(84\) −1.40404 + 4.32119i −0.153193 + 0.471481i
\(85\) −8.29337 + 8.23367i −0.899542 + 0.893067i
\(86\) 6.64297 2.15843i 0.716330 0.232750i
\(87\) 5.79823 + 5.79823i 0.621636 + 0.621636i
\(88\) 0.435297 + 0.435297i 0.0464028 + 0.0464028i
\(89\) 3.02528 + 9.31085i 0.320679 + 0.986948i 0.973353 + 0.229310i \(0.0736469\pi\)
−0.652675 + 0.757638i \(0.726353\pi\)
\(90\) 2.20979 0.341819i 0.232932 0.0360308i
\(91\) −6.30438 + 8.67724i −0.660879 + 0.909622i
\(92\) −6.50308 + 6.50308i −0.677993 + 0.677993i
\(93\) −0.589950 + 5.53642i −0.0611750 + 0.574100i
\(94\) 12.1598i 1.25419i
\(95\) 6.71607 + 2.20903i 0.689054 + 0.226642i
\(96\) −0.587785 0.809017i −0.0599906 0.0825700i
\(97\) −5.06795 + 9.94642i −0.514573 + 1.00991i 0.476822 + 0.879000i \(0.341789\pi\)
−0.991395 + 0.130906i \(0.958211\pi\)
\(98\) 9.64778 9.64778i 0.974572 0.974572i
\(99\) −0.615603 −0.0618704
\(100\) 2.96807 4.02375i 0.296807 0.402375i
\(101\) 2.37392 7.30619i 0.236214 0.726993i −0.760744 0.649052i \(-0.775166\pi\)
0.996958 0.0779406i \(-0.0248344\pi\)
\(102\) −4.65671 + 2.37271i −0.461083 + 0.234933i
\(103\) −14.8230 + 2.34773i −1.46055 + 0.231329i −0.835601 0.549336i \(-0.814881\pi\)
−0.624950 + 0.780665i \(0.714881\pi\)
\(104\) −0.729473 2.24509i −0.0715307 0.220149i
\(105\) −9.65107 3.17441i −0.941848 0.309791i
\(106\) −1.40104 1.92837i −0.136082 0.187300i
\(107\) 5.39418 2.74847i 0.521475 0.265705i −0.173380 0.984855i \(-0.555469\pi\)
0.694855 + 0.719150i \(0.255469\pi\)
\(108\) 0.987688 + 0.156434i 0.0950404 + 0.0150529i
\(109\) 5.97626 + 8.22562i 0.572422 + 0.787871i 0.992839 0.119460i \(-0.0381162\pi\)
−0.420417 + 0.907331i \(0.638116\pi\)
\(110\) −0.976863 + 0.969831i −0.0931402 + 0.0924698i
\(111\) −5.16767 + 3.75453i −0.490493 + 0.356364i
\(112\) 0.710771 + 4.48763i 0.0671615 + 0.424041i
\(113\) 12.1109 + 6.17080i 1.13929 + 0.580500i 0.918735 0.394874i \(-0.129212\pi\)
0.220559 + 0.975374i \(0.429212\pi\)
\(114\) 2.55796 + 1.85847i 0.239575 + 0.174062i
\(115\) −14.4887 14.5938i −1.35108 1.36088i
\(116\) 7.79861 + 2.53392i 0.724082 + 0.235269i
\(117\) 2.10333 + 1.07170i 0.194453 + 0.0990788i
\(118\) 4.77238 4.77238i 0.439334 0.439334i
\(119\) 23.7463 2.17682
\(120\) 1.81375 1.30779i 0.165572 0.119384i
\(121\) −8.59260 + 6.24289i −0.781145 + 0.567535i
\(122\) 8.54210 1.35294i 0.773365 0.122489i
\(123\) 4.60633 + 4.60633i 0.415339 + 0.415339i
\(124\) 1.98783 + 5.20082i 0.178513 + 0.467047i
\(125\) 8.97335 + 6.66926i 0.802600 + 0.596517i
\(126\) −3.67582 2.67064i −0.327468 0.237920i
\(127\) −0.394775 + 2.49251i −0.0350306 + 0.221175i −0.998993 0.0448635i \(-0.985715\pi\)
0.963963 + 0.266038i \(0.0857147\pi\)
\(128\) −0.891007 0.453990i −0.0787546 0.0401275i
\(129\) 6.98484i 0.614981i
\(130\) 5.02603 1.61301i 0.440812 0.141470i
\(131\) −5.05545 15.5591i −0.441697 1.35940i −0.886066 0.463559i \(-0.846572\pi\)
0.444369 0.895844i \(-0.353428\pi\)
\(132\) −0.548506 + 0.279478i −0.0477413 + 0.0243254i
\(133\) −6.52199 12.8001i −0.565529 1.10991i
\(134\) −0.480538 + 0.661404i −0.0415122 + 0.0571366i
\(135\) −0.357773 + 2.20726i −0.0307922 + 0.189971i
\(136\) −3.07197 + 4.22820i −0.263419 + 0.362565i
\(137\) 2.56071 16.1677i 0.218776 1.38130i −0.596681 0.802479i \(-0.703514\pi\)
0.815457 0.578818i \(-0.196486\pi\)
\(138\) −4.17524 8.19436i −0.355420 0.697550i
\(139\) 11.8391 8.60162i 1.00418 0.729580i 0.0412005 0.999151i \(-0.486882\pi\)
0.962981 + 0.269571i \(0.0868818\pi\)
\(140\) −10.0403 + 1.55308i −0.848562 + 0.131259i
\(141\) −11.5647 3.75759i −0.973921 0.316446i
\(142\) −4.89218 0.774845i −0.410543 0.0650236i
\(143\) −1.43532 + 0.227332i −0.120027 + 0.0190104i
\(144\) 0.951057 0.309017i 0.0792547 0.0257514i
\(145\) −5.72897 + 17.4176i −0.475765 + 1.44646i
\(146\) 4.97061 + 1.61505i 0.411371 + 0.133662i
\(147\) 6.19425 + 12.1569i 0.510893 + 1.00268i
\(148\) −2.89990 + 5.69138i −0.238371 + 0.467829i
\(149\) 2.82757i 0.231644i −0.993270 0.115822i \(-0.963050\pi\)
0.993270 0.115822i \(-0.0369502\pi\)
\(150\) 2.90963 + 4.06621i 0.237570 + 0.332005i
\(151\) −10.7012 + 3.47702i −0.870848 + 0.282956i −0.710152 0.704048i \(-0.751374\pi\)
−0.160696 + 0.987004i \(0.551374\pi\)
\(152\) 3.12289 + 0.494617i 0.253300 + 0.0401187i
\(153\) −0.817580 5.16200i −0.0660975 0.417323i
\(154\) 2.79703 0.225391
\(155\) −11.6454 + 4.40290i −0.935378 + 0.353649i
\(156\) 2.36062 0.189001
\(157\) 1.34431 + 8.48763i 0.107288 + 0.677387i 0.981445 + 0.191744i \(0.0614144\pi\)
−0.874157 + 0.485643i \(0.838586\pi\)
\(158\) 1.36594 + 0.216344i 0.108669 + 0.0172114i
\(159\) 2.26694 0.736573i 0.179780 0.0584140i
\(160\) 1.02234 1.98867i 0.0808233 0.157218i
\(161\) 41.7861i 3.29320i
\(162\) −0.453990 + 0.891007i −0.0356689 + 0.0700041i
\(163\) 3.87187 + 7.59896i 0.303268 + 0.595197i 0.991472 0.130320i \(-0.0416006\pi\)
−0.688204 + 0.725517i \(0.741601\pi\)
\(164\) 6.19550 + 2.01304i 0.483787 + 0.157192i
\(165\) −0.620497 1.22875i −0.0483056 0.0956578i
\(166\) 0.402607 0.130815i 0.0312483 0.0101532i
\(167\) −22.9785 + 3.63944i −1.77813 + 0.281628i −0.957206 0.289408i \(-0.906542\pi\)
−0.820925 + 0.571036i \(0.806542\pi\)
\(168\) −4.48763 0.710771i −0.346228 0.0548372i
\(169\) −7.06393 2.29521i −0.543379 0.176555i
\(170\) −9.42967 6.90323i −0.723223 0.529454i
\(171\) −2.55796 + 1.85847i −0.195612 + 0.142121i
\(172\) 3.17105 + 6.22353i 0.241790 + 0.474540i
\(173\) 1.16847 7.37741i 0.0888369 0.560894i −0.902618 0.430443i \(-0.858357\pi\)
0.991455 0.130451i \(-0.0416426\pi\)
\(174\) −4.81980 + 6.63389i −0.365388 + 0.502914i
\(175\) −3.39167 22.4632i −0.256386 1.69806i
\(176\) −0.361842 + 0.498033i −0.0272749 + 0.0375407i
\(177\) 3.06406 + 6.01355i 0.230309 + 0.452006i
\(178\) −8.72296 + 4.44457i −0.653814 + 0.333135i
\(179\) 2.99399 + 9.21455i 0.223781 + 0.688727i 0.998413 + 0.0563151i \(0.0179351\pi\)
−0.774632 + 0.632412i \(0.782065\pi\)
\(180\) 0.683297 + 2.12911i 0.0509300 + 0.158694i
\(181\) 11.0853i 0.823964i −0.911192 0.411982i \(-0.864837\pi\)
0.911192 0.411982i \(-0.135163\pi\)
\(182\) −9.55663 4.86935i −0.708385 0.360940i
\(183\) −1.35294 + 8.54210i −0.100012 + 0.631450i
\(184\) −7.44032 5.40571i −0.548508 0.398514i
\(185\) −12.7028 6.53031i −0.933929 0.480118i
\(186\) −5.56055 + 0.283400i −0.407719 + 0.0207799i
\(187\) 2.27501 + 2.27501i 0.166365 + 0.166365i
\(188\) −12.0101 + 1.90221i −0.875927 + 0.138733i
\(189\) 3.67582 2.67064i 0.267377 0.194261i
\(190\) −1.13121 + 6.97895i −0.0820668 + 0.506306i
\(191\) −23.1369 −1.67413 −0.837065 0.547103i \(-0.815731\pi\)
−0.837065 + 0.547103i \(0.815731\pi\)
\(192\) 0.707107 0.707107i 0.0510310 0.0510310i
\(193\) −9.60399 4.89348i −0.691310 0.352240i 0.0727815 0.997348i \(-0.476812\pi\)
−0.764092 + 0.645108i \(0.776812\pi\)
\(194\) −10.6168 3.44960i −0.762239 0.247666i
\(195\) −0.0190659 + 5.27848i −0.00136534 + 0.378000i
\(196\) 11.0382 + 8.01975i 0.788446 + 0.572839i
\(197\) −18.7493 9.55326i −1.33583 0.680641i −0.367435 0.930049i \(-0.619764\pi\)
−0.968399 + 0.249408i \(0.919764\pi\)
\(198\) −0.0963015 0.608024i −0.00684385 0.0432104i
\(199\) 10.3113 7.49157i 0.730946 0.531064i −0.158916 0.987292i \(-0.550800\pi\)
0.889863 + 0.456229i \(0.150800\pi\)
\(200\) 4.43852 + 2.30208i 0.313851 + 0.162781i
\(201\) −0.480538 0.661404i −0.0338945 0.0466518i
\(202\) 7.58760 + 1.20176i 0.533862 + 0.0845554i
\(203\) 33.1962 16.9143i 2.32992 1.18715i
\(204\) −3.07197 4.22820i −0.215081 0.296033i
\(205\) −4.55130 + 13.8372i −0.317877 + 0.966432i
\(206\) −4.63765 14.2732i −0.323120 0.994462i
\(207\) 9.08352 1.43869i 0.631348 0.0999957i
\(208\) 2.10333 1.07170i 0.145840 0.0743091i
\(209\) 0.601478 1.85116i 0.0416051 0.128047i
\(210\) 1.62557 10.0288i 0.112175 0.692056i
\(211\) 12.3601 0.850907 0.425454 0.904980i \(-0.360115\pi\)
0.425454 + 0.904980i \(0.360115\pi\)
\(212\) 1.68546 1.68546i 0.115758 0.115758i
\(213\) 2.24869 4.41330i 0.154078 0.302394i
\(214\) 3.55847 + 4.89781i 0.243252 + 0.334808i
\(215\) −13.9418 + 7.04037i −0.950821 + 0.480149i
\(216\) 1.00000i 0.0680414i
\(217\) 23.0956 + 10.3226i 1.56783 + 0.700747i
\(218\) −7.18945 + 7.18945i −0.486931 + 0.486931i
\(219\) −3.07201 + 4.22826i −0.207587 + 0.285719i
\(220\) −1.11071 0.813121i −0.0748838 0.0548206i
\(221\) −3.81248 11.7336i −0.256455 0.789287i
\(222\) −4.51671 4.51671i −0.303142 0.303142i
\(223\) −1.93387 1.93387i −0.129502 0.129502i 0.639385 0.768887i \(-0.279189\pi\)
−0.768887 + 0.639385i \(0.779189\pi\)
\(224\) −4.32119 + 1.40404i −0.288722 + 0.0938114i
\(225\) −4.76632 + 1.51069i −0.317755 + 0.100713i
\(226\) −4.20027 + 12.9271i −0.279398 + 0.859897i
\(227\) 1.12582 + 7.10812i 0.0747230 + 0.471783i 0.996467 + 0.0839838i \(0.0267644\pi\)
−0.921744 + 0.387799i \(0.873236\pi\)
\(228\) −1.43543 + 2.81720i −0.0950640 + 0.186574i
\(229\) −18.2214 13.2387i −1.20411 0.874835i −0.209425 0.977825i \(-0.567159\pi\)
−0.994682 + 0.102990i \(0.967159\pi\)
\(230\) 12.1476 16.5933i 0.800986 1.09413i
\(231\) −0.864331 + 2.66014i −0.0568688 + 0.175024i
\(232\) −1.28275 + 8.09898i −0.0842169 + 0.531724i
\(233\) −0.390854 + 2.46776i −0.0256057 + 0.161668i −0.997178 0.0750756i \(-0.976080\pi\)
0.971572 + 0.236744i \(0.0760802\pi\)
\(234\) −0.729473 + 2.24509i −0.0476871 + 0.146766i
\(235\) −4.15645 26.8706i −0.271137 1.75285i
\(236\) 5.46019 + 3.96706i 0.355428 + 0.258234i
\(237\) −0.627855 + 1.23223i −0.0407836 + 0.0800422i
\(238\) 3.71473 + 23.4539i 0.240790 + 1.52029i
\(239\) −3.60416 + 11.0925i −0.233134 + 0.717512i 0.764230 + 0.644944i \(0.223119\pi\)
−0.997363 + 0.0725681i \(0.976881\pi\)
\(240\) 1.57542 + 1.58684i 0.101693 + 0.102430i
\(241\) −6.04831 + 1.96521i −0.389606 + 0.126591i −0.497268 0.867597i \(-0.665663\pi\)
0.107662 + 0.994188i \(0.465663\pi\)
\(242\) −7.51020 7.51020i −0.482774 0.482774i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) 2.67256 + 8.22529i 0.171093 + 0.526570i
\(245\) −18.0217 + 24.6173i −1.15137 + 1.57274i
\(246\) −3.82903 + 5.27021i −0.244130 + 0.336016i
\(247\) −5.27775 + 5.27775i −0.335815 + 0.335815i
\(248\) −4.82582 + 2.77695i −0.306440 + 0.176336i
\(249\) 0.423326i 0.0268272i
\(250\) −5.18341 + 9.90617i −0.327828 + 0.626521i
\(251\) −6.27619 8.63843i −0.396150 0.545253i 0.563623 0.826032i \(-0.309407\pi\)
−0.959772 + 0.280779i \(0.909407\pi\)
\(252\) 2.06274 4.04835i 0.129940 0.255022i
\(253\) −4.00332 + 4.00332i −0.251686 + 0.251686i
\(254\) −2.52358 −0.158344
\(255\) 9.47930 6.83494i 0.593617 0.428020i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 23.4477 11.9472i 1.46263 0.745245i 0.471968 0.881616i \(-0.343544\pi\)
0.990658 + 0.136370i \(0.0435437\pi\)
\(258\) −6.89884 + 1.09267i −0.429503 + 0.0680266i
\(259\) 8.96843 + 27.6020i 0.557271 + 1.71510i
\(260\) 2.37939 + 4.71182i 0.147564 + 0.292214i
\(261\) −4.81980 6.63389i −0.298338 0.410628i
\(262\) 14.5767 7.42719i 0.900550 0.458853i
\(263\) 8.55161 + 1.35444i 0.527315 + 0.0835185i 0.414415 0.910088i \(-0.363986\pi\)
0.112900 + 0.993606i \(0.463986\pi\)
\(264\) −0.361842 0.498033i −0.0222699 0.0306518i
\(265\) 3.75516 + 3.78239i 0.230678 + 0.232350i
\(266\) 11.6223 8.44408i 0.712608 0.517740i
\(267\) −1.53149 9.66948i −0.0937260 0.591762i
\(268\) −0.728433 0.371155i −0.0444962 0.0226719i
\(269\) 4.25188 + 3.08917i 0.259242 + 0.188350i 0.709813 0.704391i \(-0.248780\pi\)
−0.450571 + 0.892741i \(0.648780\pi\)
\(270\) −2.23605 0.00807665i −0.136082 0.000491529i
\(271\) −12.5613 4.08140i −0.763042 0.247927i −0.0984582 0.995141i \(-0.531391\pi\)
−0.664584 + 0.747214i \(0.731391\pi\)
\(272\) −4.65671 2.37271i −0.282354 0.143867i
\(273\) 7.58418 7.58418i 0.459016 0.459016i
\(274\) 16.3692 0.988899
\(275\) 1.82715 2.47703i 0.110181 0.149371i
\(276\) 7.44032 5.40571i 0.447855 0.325386i
\(277\) 14.7354 2.33385i 0.885362 0.140227i 0.302839 0.953042i \(-0.402066\pi\)
0.582523 + 0.812814i \(0.302066\pi\)
\(278\) 10.3478 + 10.3478i 0.620618 + 0.620618i
\(279\) 1.44877 5.37597i 0.0867358 0.321851i
\(280\) −3.10461 9.67375i −0.185536 0.578117i
\(281\) 3.38930 + 2.46247i 0.202189 + 0.146899i 0.684272 0.729226i \(-0.260120\pi\)
−0.482084 + 0.876125i \(0.660120\pi\)
\(282\) 1.90221 12.0101i 0.113275 0.715192i
\(283\) −6.20661 3.16242i −0.368945 0.187987i 0.259682 0.965694i \(-0.416382\pi\)
−0.628626 + 0.777708i \(0.716382\pi\)
\(284\) 4.95316i 0.293916i
\(285\) −6.28781 3.23246i −0.372458 0.191475i
\(286\) −0.449066 1.38208i −0.0265538 0.0817242i
\(287\) 26.3723 13.4374i 1.55671 0.793182i
\(288\) 0.453990 + 0.891007i 0.0267516 + 0.0525031i
\(289\) −6.06281 + 8.34475i −0.356636 + 0.490868i
\(290\) −18.0994 2.93372i −1.06283 0.172274i
\(291\) 6.56152 9.03116i 0.384643 0.529416i
\(292\) −0.817591 + 5.16207i −0.0478459 + 0.302087i
\(293\) −12.8622 25.2434i −0.751415 1.47474i −0.875889 0.482513i \(-0.839724\pi\)
0.124474 0.992223i \(-0.460276\pi\)
\(294\) −11.0382 + 8.01975i −0.643763 + 0.467721i
\(295\) −8.91466 + 12.1772i −0.519032 + 0.708987i
\(296\) −6.07496 1.97387i −0.353100 0.114729i
\(297\) 0.608024 + 0.0963015i 0.0352811 + 0.00558798i
\(298\) 2.79276 0.442330i 0.161780 0.0256235i
\(299\) 20.6475 6.70878i 1.19408 0.387979i
\(300\) −3.56098 + 3.50990i −0.205593 + 0.202644i
\(301\) 30.1828 + 9.80699i 1.73971 + 0.565265i
\(302\) −5.10824 10.0255i −0.293946 0.576902i
\(303\) −3.48764 + 6.84487i −0.200360 + 0.393228i
\(304\) 3.16182i 0.181343i
\(305\) −18.4138 + 5.90955i −1.05437 + 0.338380i
\(306\) 4.97055 1.61503i 0.284147 0.0923251i
\(307\) 29.9217 + 4.73912i 1.70772 + 0.270476i 0.932488 0.361201i \(-0.117633\pi\)
0.775231 + 0.631677i \(0.217633\pi\)
\(308\) 0.437552 + 2.76260i 0.0249319 + 0.157414i
\(309\) 15.0077 0.853761
\(310\) −6.17043 10.8132i −0.350457 0.614150i
\(311\) 25.2973 1.43448 0.717240 0.696826i \(-0.245405\pi\)
0.717240 + 0.696826i \(0.245405\pi\)
\(312\) 0.369283 + 2.33156i 0.0209065 + 0.131999i
\(313\) 10.6151 + 1.68127i 0.600002 + 0.0950310i 0.449045 0.893509i \(-0.351764\pi\)
0.150957 + 0.988540i \(0.451764\pi\)
\(314\) −8.17284 + 2.65552i −0.461220 + 0.149860i
\(315\) 9.03566 + 4.64509i 0.509102 + 0.261721i
\(316\) 1.38297i 0.0777981i
\(317\) −6.20933 + 12.1865i −0.348751 + 0.684461i −0.997036 0.0769359i \(-0.975486\pi\)
0.648286 + 0.761397i \(0.275486\pi\)
\(318\) 1.08213 + 2.12380i 0.0606829 + 0.119097i
\(319\) 4.80084 + 1.55989i 0.268796 + 0.0873370i
\(320\) 2.12412 + 0.698660i 0.118742 + 0.0390563i
\(321\) −5.75772 + 1.87080i −0.321365 + 0.104418i
\(322\) −41.2716 + 6.53678i −2.29998 + 0.364280i
\(323\) 16.3213 + 2.58504i 0.908141 + 0.143835i
\(324\) −0.951057 0.309017i −0.0528365 0.0171676i
\(325\) −10.5551 + 5.28239i −0.585491 + 0.293014i
\(326\) −6.89971 + 5.01294i −0.382140 + 0.277641i
\(327\) −4.61591 9.05924i −0.255261 0.500977i
\(328\) −1.01907 + 6.43413i −0.0562685 + 0.355265i
\(329\) −32.4745 + 44.6974i −1.79038 + 2.46424i
\(330\) 1.11655 0.805076i 0.0614641 0.0443180i
\(331\) −6.75280 + 9.29444i −0.371168 + 0.510868i −0.953218 0.302285i \(-0.902251\pi\)
0.582050 + 0.813153i \(0.302251\pi\)
\(332\) 0.192186 + 0.377186i 0.0105476 + 0.0207008i
\(333\) 5.69138 2.89990i 0.311886 0.158914i
\(334\) −7.18926 22.1263i −0.393379 1.21070i
\(335\) 0.835807 1.62582i 0.0456650 0.0888279i
\(336\) 4.54357i 0.247872i
\(337\) 12.3449 + 6.29003i 0.672469 + 0.342640i 0.756659 0.653810i \(-0.226830\pi\)
−0.0841902 + 0.996450i \(0.526830\pi\)
\(338\) 1.16191 7.33601i 0.0631996 0.399026i
\(339\) −10.9964 7.98938i −0.597245 0.433924i
\(340\) 5.34312 10.3935i 0.289771 0.563666i
\(341\) 1.22372 + 3.20164i 0.0662679 + 0.173378i
\(342\) −2.23574 2.23574i −0.120895 0.120895i
\(343\) 29.8159 4.72237i 1.60991 0.254984i
\(344\) −5.65085 + 4.10558i −0.304673 + 0.221358i
\(345\) 12.0274 + 16.6806i 0.647532 + 0.898055i
\(346\) 7.46937 0.401556
\(347\) 1.62078 1.62078i 0.0870079 0.0870079i −0.662263 0.749271i \(-0.730404\pi\)
0.749271 + 0.662263i \(0.230404\pi\)
\(348\) −7.30620 3.72269i −0.391653 0.199557i
\(349\) −25.3455 8.23524i −1.35671 0.440822i −0.461767 0.887001i \(-0.652784\pi\)
−0.894944 + 0.446179i \(0.852784\pi\)
\(350\) 21.6561 6.86394i 1.15757 0.366893i
\(351\) −1.90978 1.38754i −0.101937 0.0740614i
\(352\) −0.548506 0.279478i −0.0292355 0.0148962i
\(353\) −2.92912 18.4938i −0.155901 0.984323i −0.934283 0.356532i \(-0.883959\pi\)
0.778382 0.627791i \(-0.216041\pi\)
\(354\) −5.46019 + 3.96706i −0.290206 + 0.210847i
\(355\) 11.0755 + 0.0400050i 0.587828 + 0.00212324i
\(356\) −5.75442 7.92028i −0.304984 0.419774i
\(357\) −23.4539 3.71473i −1.24131 0.196604i
\(358\) −8.63274 + 4.39860i −0.456254 + 0.232473i
\(359\) 7.58194 + 10.4356i 0.400160 + 0.550772i 0.960784 0.277298i \(-0.0894389\pi\)
−0.560624 + 0.828070i \(0.689439\pi\)
\(360\) −1.99600 + 1.00795i −0.105199 + 0.0531237i
\(361\) 2.78205 + 8.56228i 0.146424 + 0.450647i
\(362\) 10.9488 1.73412i 0.575457 0.0911435i
\(363\) 9.46341 4.82185i 0.496700 0.253081i
\(364\) 3.31441 10.2007i 0.173722 0.534662i
\(365\) −11.5361 1.86987i −0.603825 0.0978734i
\(366\) −8.64858 −0.452068
\(367\) −22.6072 + 22.6072i −1.18008 + 1.18008i −0.200363 + 0.979722i \(0.564212\pi\)
−0.979722 + 0.200363i \(0.935788\pi\)
\(368\) 4.17524 8.19436i 0.217649 0.427161i
\(369\) −3.82903 5.27021i −0.199331 0.274356i
\(370\) 4.46275 13.5680i 0.232007 0.705366i
\(371\) 10.8300i 0.562268i
\(372\) −1.14977 5.44775i −0.0596129 0.282453i
\(373\) 8.82851 8.82851i 0.457123 0.457123i −0.440587 0.897710i \(-0.645230\pi\)
0.897710 + 0.440587i \(0.145230\pi\)
\(374\) −1.89111 + 2.60289i −0.0977871 + 0.134592i
\(375\) −7.81957 7.99089i −0.403801 0.412648i
\(376\) −3.75759 11.5647i −0.193783 0.596403i
\(377\) −13.6874 13.6874i −0.704939 0.704939i
\(378\) 3.21279 + 3.21279i 0.165248 + 0.165248i
\(379\) −11.0314 + 3.58431i −0.566644 + 0.184114i −0.578308 0.815818i \(-0.696287\pi\)
0.0116647 + 0.999932i \(0.496287\pi\)
\(380\) −7.06999 0.0255369i −0.362683 0.00131001i
\(381\) 0.779829 2.40007i 0.0399519 0.122959i
\(382\) −3.61942 22.8521i −0.185185 1.16921i
\(383\) −6.01810 + 11.8112i −0.307511 + 0.603523i −0.992106 0.125400i \(-0.959979\pi\)
0.684596 + 0.728923i \(0.259979\pi\)
\(384\) 0.809017 + 0.587785i 0.0412850 + 0.0299953i
\(385\) −6.18085 + 0.956078i −0.315005 + 0.0487263i
\(386\) 3.33083 10.2513i 0.169535 0.521775i
\(387\) 1.09267 6.89884i 0.0555435 0.350688i
\(388\) 1.74630 11.0257i 0.0886548 0.559744i
\(389\) −5.45553 + 16.7904i −0.276606 + 0.851307i 0.712184 + 0.701993i \(0.247706\pi\)
−0.988790 + 0.149313i \(0.952294\pi\)
\(390\) −5.21648 + 0.806905i −0.264147 + 0.0408592i
\(391\) −38.8857 28.2521i −1.96653 1.42877i
\(392\) −6.19425 + 12.1569i −0.312857 + 0.614016i
\(393\) 2.55923 + 16.1584i 0.129096 + 0.815082i
\(394\) 6.50260 20.0129i 0.327596 1.00824i
\(395\) −3.09239 0.0111698i −0.155595 0.000562012i
\(396\) 0.585473 0.190232i 0.0294211 0.00955950i
\(397\) −1.91002 1.91002i −0.0958609 0.0958609i 0.657550 0.753411i \(-0.271593\pi\)
−0.753411 + 0.657550i \(0.771593\pi\)
\(398\) 9.01238 + 9.01238i 0.451750 + 0.451750i
\(399\) 4.43932 + 13.6628i 0.222244 + 0.683996i
\(400\) −1.57940 + 4.74400i −0.0789698 + 0.237200i
\(401\) −10.3565 + 14.2545i −0.517181 + 0.711838i −0.985109 0.171928i \(-0.945000\pi\)
0.467929 + 0.883766i \(0.345000\pi\)
\(402\) 0.578088 0.578088i 0.0288324 0.0288324i
\(403\) 1.39265 13.0694i 0.0693728 0.651034i
\(404\) 7.68218i 0.382203i
\(405\) 0.698660 2.12412i 0.0347167 0.105548i
\(406\) 21.8991 + 30.1415i 1.08683 + 1.49590i
\(407\) −1.78519 + 3.50363i −0.0884885 + 0.173669i
\(408\) 3.69558 3.69558i 0.182959 0.182959i
\(409\) 31.5611 1.56060 0.780299 0.625407i \(-0.215067\pi\)
0.780299 + 0.625407i \(0.215067\pi\)
\(410\) −14.3788 2.33065i −0.710120 0.115103i
\(411\) −5.05836 + 15.5680i −0.249510 + 0.767914i
\(412\) 13.3720 6.81337i 0.658791 0.335671i
\(413\) 30.2878 4.79711i 1.49036 0.236050i
\(414\) 2.84195 + 8.74663i 0.139674 + 0.429873i
\(415\) −0.844960 + 0.426691i −0.0414775 + 0.0209455i
\(416\) 1.38754 + 1.90978i 0.0680297 + 0.0936349i
\(417\) −13.0390 + 6.64368i −0.638520 + 0.325342i
\(418\) 1.92246 + 0.304488i 0.0940306 + 0.0148930i
\(419\) −11.1850 15.3948i −0.546423 0.752087i 0.443098 0.896473i \(-0.353879\pi\)
−0.989521 + 0.144386i \(0.953879\pi\)
\(420\) 10.1597 + 0.0366968i 0.495741 + 0.00179062i
\(421\) −7.41527 + 5.38751i −0.361398 + 0.262571i −0.753635 0.657293i \(-0.771701\pi\)
0.392237 + 0.919864i \(0.371701\pi\)
\(422\) 1.93355 + 12.2080i 0.0941238 + 0.594275i
\(423\) 10.8345 + 5.52044i 0.526790 + 0.268413i
\(424\) 1.92837 + 1.40104i 0.0936501 + 0.0680408i
\(425\) 23.1972 + 12.0314i 1.12523 + 0.583611i
\(426\) 4.71074 + 1.53061i 0.228236 + 0.0741584i
\(427\) 35.0125 + 17.8397i 1.69437 + 0.863326i
\(428\) −4.28084 + 4.28084i −0.206922 + 0.206922i
\(429\) 1.45321 0.0701615
\(430\) −9.13466 12.6688i −0.440513 0.610942i
\(431\) −4.20868 + 3.05779i −0.202725 + 0.147288i −0.684516 0.728998i \(-0.739986\pi\)
0.481791 + 0.876286i \(0.339986\pi\)
\(432\) −0.987688 + 0.156434i −0.0475202 + 0.00752646i
\(433\) −25.4348 25.4348i −1.22232 1.22232i −0.966805 0.255514i \(-0.917755\pi\)
−0.255514 0.966805i \(-0.582245\pi\)
\(434\) −6.58260 + 24.4261i −0.315975 + 1.17249i
\(435\) 8.38315 16.3070i 0.401941 0.781860i
\(436\) −8.22562 5.97626i −0.393936 0.286211i
\(437\) −4.54887 + 28.7204i −0.217602 + 1.37388i
\(438\) −4.65677 2.37274i −0.222509 0.113374i
\(439\) 27.2960i 1.30277i −0.758748 0.651384i \(-0.774189\pi\)
0.758748 0.651384i \(-0.225811\pi\)
\(440\) 0.629357 1.22423i 0.0300034 0.0583630i
\(441\) −4.21623 12.9762i −0.200773 0.617916i
\(442\) 10.9927 5.60108i 0.522871 0.266416i
\(443\) −6.80973 13.3649i −0.323540 0.634983i 0.670751 0.741682i \(-0.265972\pi\)
−0.994291 + 0.106699i \(0.965972\pi\)
\(444\) 3.75453 5.16767i 0.178182 0.245247i
\(445\) 17.7567 12.8032i 0.841746 0.606931i
\(446\) 1.60754 2.21259i 0.0761191 0.104769i
\(447\) −0.442330 + 2.79276i −0.0209215 + 0.132093i
\(448\) −2.06274 4.04835i −0.0974552 0.191267i
\(449\) 32.1428 23.3531i 1.51691 1.10210i 0.553923 0.832568i \(-0.313130\pi\)
0.962991 0.269535i \(-0.0868699\pi\)
\(450\) −2.23771 4.47131i −0.105487 0.210780i
\(451\) 3.81397 + 1.23923i 0.179593 + 0.0583532i
\(452\) −13.4250 2.12631i −0.631459 0.100013i
\(453\) 11.1133 1.76018i 0.522150 0.0827005i
\(454\) −6.84449 + 2.22391i −0.321228 + 0.104373i
\(455\) 22.7826 + 7.49359i 1.06806 + 0.351305i
\(456\) −3.00707 0.977055i −0.140819 0.0457548i
\(457\) 7.42686 + 14.5760i 0.347414 + 0.681838i 0.996912 0.0785252i \(-0.0250211\pi\)
−0.649498 + 0.760363i \(0.725021\pi\)
\(458\) 10.2252 20.0681i 0.477792 0.937720i
\(459\) 5.22634i 0.243945i
\(460\) 18.2893 + 9.40223i 0.852743 + 0.438381i
\(461\) 0.370986 0.120541i 0.0172785 0.00561414i −0.300365 0.953824i \(-0.597108\pi\)
0.317644 + 0.948210i \(0.397108\pi\)
\(462\) −2.76260 0.437552i −0.128528 0.0203568i
\(463\) 4.11958 + 26.0100i 0.191453 + 1.20879i 0.876903 + 0.480668i \(0.159606\pi\)
−0.685449 + 0.728120i \(0.740394\pi\)
\(464\) −8.19994 −0.380673
\(465\) 12.1908 2.52695i 0.565333 0.117185i
\(466\) −2.49852 −0.115742
\(467\) −0.230727 1.45676i −0.0106768 0.0674106i 0.981775 0.190049i \(-0.0608646\pi\)
−0.992451 + 0.122638i \(0.960865\pi\)
\(468\) −2.33156 0.369283i −0.107776 0.0170701i
\(469\) −3.53275 + 1.14786i −0.163127 + 0.0530032i
\(470\) 25.8896 8.30877i 1.19420 0.383255i
\(471\) 8.59343i 0.395965i
\(472\) −3.06406 + 6.01355i −0.141035 + 0.276796i
\(473\) 1.95211 + 3.83123i 0.0897580 + 0.176160i
\(474\) −1.31528 0.427361i −0.0604129 0.0196293i
\(475\) 0.114204 15.8087i 0.00524002 0.725351i
\(476\) −22.5840 + 7.33800i −1.03514 + 0.336337i
\(477\) −2.35425 + 0.372877i −0.107794 + 0.0170729i
\(478\) −11.5197 1.82454i −0.526900 0.0834527i
\(479\) 40.0714 + 13.0200i 1.83091 + 0.594898i 0.999213 + 0.0396675i \(0.0126299\pi\)
0.831696 + 0.555231i \(0.187370\pi\)
\(480\) −1.32085 + 1.80426i −0.0602884 + 0.0823527i
\(481\) 12.1989 8.86303i 0.556223 0.404120i
\(482\) −2.88718 5.66642i −0.131508 0.258098i
\(483\) 6.53678 41.2716i 0.297434 1.87792i
\(484\) 6.24289 8.59260i 0.283768 0.390573i
\(485\) 24.6399 + 3.99386i 1.11884 + 0.181352i
\(486\) 0.587785 0.809017i 0.0266625 0.0366978i
\(487\) 10.0416 + 19.7077i 0.455027 + 0.893041i 0.998560 + 0.0536529i \(0.0170865\pi\)
−0.543532 + 0.839388i \(0.682914\pi\)
\(488\) −7.70594 + 3.92637i −0.348832 + 0.177739i
\(489\) −2.63546 8.11110i −0.119179 0.366797i
\(490\) −27.1335 13.9489i −1.22576 0.630146i
\(491\) 16.1920i 0.730735i −0.930863 0.365367i \(-0.880943\pi\)
0.930863 0.365367i \(-0.119057\pi\)
\(492\) −5.80431 2.95744i −0.261679 0.133332i
\(493\) −6.70411 + 42.3281i −0.301938 + 1.90636i
\(494\) −6.03839 4.38715i −0.271680 0.197387i
\(495\) 0.420640 + 1.31069i 0.0189063 + 0.0589109i
\(496\) −3.49768 4.33200i −0.157051 0.194512i
\(497\) −15.9135 15.9135i −0.713816 0.713816i
\(498\) −0.418114 + 0.0662227i −0.0187361 + 0.00296751i
\(499\) 9.26599 6.73213i 0.414802 0.301372i −0.360741 0.932666i \(-0.617476\pi\)
0.775543 + 0.631294i \(0.217476\pi\)
\(500\) −10.5951 3.56993i −0.473826 0.159652i
\(501\) 23.2649 1.03940
\(502\) 7.55027 7.55027i 0.336985 0.336985i
\(503\) −15.3852 7.83914i −0.685991 0.349530i 0.0760087 0.997107i \(-0.475782\pi\)
−0.762000 + 0.647577i \(0.775782\pi\)
\(504\) 4.32119 + 1.40404i 0.192481 + 0.0625409i
\(505\) −17.1778 0.0620463i −0.764401 0.00276102i
\(506\) −4.58028 3.32777i −0.203619 0.147938i
\(507\) 6.61791 + 3.37199i 0.293912 + 0.149755i
\(508\) −0.394775 2.49251i −0.0175153 0.110587i
\(509\) −5.22279 + 3.79458i −0.231496 + 0.168192i −0.697486 0.716598i \(-0.745698\pi\)
0.465990 + 0.884790i \(0.345698\pi\)
\(510\) 8.23367 + 8.29337i 0.364593 + 0.367237i
\(511\) 13.9579 + 19.2114i 0.617460 + 0.849861i
\(512\) 0.987688 + 0.156434i 0.0436501 + 0.00691349i
\(513\) 2.81720 1.43543i 0.124382 0.0633760i
\(514\) 15.4681 + 21.2901i 0.682270 + 0.939064i
\(515\) 15.1271 + 29.9555i 0.666578 + 1.32000i
\(516\) −2.15843 6.64297i −0.0950197 0.292441i
\(517\) −7.39346 + 1.17101i −0.325164 + 0.0515009i
\(518\) −25.8592 + 13.1759i −1.13619 + 0.578916i
\(519\) −2.30816 + 7.10379i −0.101317 + 0.311822i
\(520\) −4.28159 + 3.08719i −0.187760 + 0.135382i
\(521\) 6.25003 0.273819 0.136909 0.990584i \(-0.456283\pi\)
0.136909 + 0.990584i \(0.456283\pi\)
\(522\) 5.79823 5.79823i 0.253782 0.253782i
\(523\) −1.36276 + 2.67457i −0.0595895 + 0.116951i −0.918880 0.394536i \(-0.870905\pi\)
0.859291 + 0.511487i \(0.170905\pi\)
\(524\) 9.61604 + 13.2353i 0.420079 + 0.578189i
\(525\) −0.164112 + 22.7172i −0.00716244 + 0.991462i
\(526\) 8.65821i 0.377516i
\(527\) −25.2214 + 14.5133i −1.09866 + 0.632209i
\(528\) 0.435297 0.435297i 0.0189439 0.0189439i
\(529\) 36.1959 49.8194i 1.57374 2.16606i
\(530\) −3.14839 + 4.30063i −0.136757 + 0.186807i
\(531\) −2.08561 6.41884i −0.0905077 0.278554i
\(532\) 10.1582 + 10.1582i 0.440416 + 0.440416i
\(533\) −10.8738 10.8738i −0.470997 0.470997i
\(534\) 9.31085 3.02528i 0.402920 0.130917i
\(535\) −9.53762 9.60677i −0.412347 0.415337i
\(536\) 0.252634 0.777527i 0.0109121 0.0335840i
\(537\) −1.51565 9.56946i −0.0654053 0.412953i
\(538\) −2.38600 + 4.68278i −0.102868 + 0.201889i
\(539\) 6.79517 + 4.93698i 0.292689 + 0.212651i
\(540\) −0.341819 2.20979i −0.0147095 0.0950941i
\(541\) 10.3765 31.9355i 0.446119 1.37301i −0.435132 0.900367i \(-0.643298\pi\)
0.881252 0.472648i \(-0.156702\pi\)
\(542\) 2.06614 13.0451i 0.0887482 0.560334i
\(543\) −1.73412 + 10.9488i −0.0744183 + 0.469859i
\(544\) 1.61503 4.97055i 0.0692438 0.213111i
\(545\) 13.4297 18.3447i 0.575264 0.785799i
\(546\) 8.67724 + 6.30438i 0.371352 + 0.269803i
\(547\) −3.54626 + 6.95993i −0.151627 + 0.297585i −0.954309 0.298823i \(-0.903406\pi\)
0.802681 + 0.596408i \(0.203406\pi\)
\(548\) 2.56071 + 16.1677i 0.109388 + 0.690648i
\(549\) 2.67256 8.22529i 0.114062 0.351047i
\(550\) 2.73236 + 1.41716i 0.116508 + 0.0604281i
\(551\) 24.6578 8.01179i 1.05046 0.341314i
\(552\) 6.50308 + 6.50308i 0.276790 + 0.276790i
\(553\) 4.44319 + 4.44319i 0.188944 + 0.188944i
\(554\) 4.61023 + 14.1888i 0.195870 + 0.602826i
\(555\) 11.5249 + 8.43707i 0.489203 + 0.358134i
\(556\) −8.60162 + 11.8391i −0.364790 + 0.502091i
\(557\) −11.3565 + 11.3565i −0.481191 + 0.481191i −0.905512 0.424321i \(-0.860513\pi\)
0.424321 + 0.905512i \(0.360513\pi\)
\(558\) 5.53642 + 0.589950i 0.234375 + 0.0249746i
\(559\) 16.4886i 0.697392i
\(560\) 9.06898 4.57969i 0.383235 0.193527i
\(561\) −1.89111 2.60289i −0.0798428 0.109894i
\(562\) −1.90195 + 3.73279i −0.0802290 + 0.157458i
\(563\) 11.5729 11.5729i 0.487738 0.487738i −0.419854 0.907592i \(-0.637919\pi\)
0.907592 + 0.419854i \(0.137919\pi\)
\(564\) 12.1598 0.512021
\(565\) 4.86297 30.0018i 0.204587 1.26219i
\(566\) 2.15256 6.62491i 0.0904789 0.278466i
\(567\) −4.04835 + 2.06274i −0.170015 + 0.0866268i
\(568\) 4.89218 0.774845i 0.205271 0.0325118i
\(569\) −14.1917 43.6774i −0.594945 1.83105i −0.554999 0.831851i \(-0.687281\pi\)
−0.0399461 0.999202i \(-0.512719\pi\)
\(570\) 2.20903 6.71607i 0.0925263 0.281305i
\(571\) 15.4843 + 21.3123i 0.647998 + 0.891892i 0.999010 0.0444783i \(-0.0141626\pi\)
−0.351013 + 0.936371i \(0.614163\pi\)
\(572\) 1.29482 0.659742i 0.0541390 0.0275852i
\(573\) 22.8521 + 3.61942i 0.954660 + 0.151203i
\(574\) 17.3975 + 23.9455i 0.726156 + 0.999468i
\(575\) −21.1716 + 40.8199i −0.882917 + 1.70231i
\(576\) −0.809017 + 0.587785i −0.0337090 + 0.0244911i
\(577\) −1.72220 10.8735i −0.0716959 0.452670i −0.997254 0.0740635i \(-0.976403\pi\)
0.925558 0.378607i \(-0.123597\pi\)
\(578\) −9.19044 4.68277i −0.382272 0.194777i
\(579\) 8.72024 + 6.33562i 0.362401 + 0.263300i
\(580\) 0.0662281 18.3355i 0.00274997 0.761340i
\(581\) 1.82927 + 0.594366i 0.0758910 + 0.0246585i
\(582\) 9.94642 + 5.06795i 0.412292 + 0.210073i
\(583\) 1.03757 1.03757i 0.0429719 0.0429719i
\(584\) −5.22641 −0.216270
\(585\) 0.844568 5.21051i 0.0349186 0.215428i
\(586\) 22.9205 16.6527i 0.946839 0.687919i
\(587\) 26.2430 4.15648i 1.08316 0.171556i 0.410762 0.911743i \(-0.365263\pi\)
0.672402 + 0.740186i \(0.265263\pi\)
\(588\) −9.64778 9.64778i −0.397868 0.397868i
\(589\) 14.7504 + 9.60918i 0.607778 + 0.395939i
\(590\) −13.4219 6.89997i −0.552570 0.284067i
\(591\) 17.0240 + 12.3687i 0.700275 + 0.508780i
\(592\) 0.999239 6.30895i 0.0410685 0.259296i
\(593\) −23.2943 11.8690i −0.956581 0.487402i −0.0952539 0.995453i \(-0.530366\pi\)
−0.861327 + 0.508051i \(0.830366\pi\)
\(594\) 0.615603i 0.0252585i
\(595\) −16.2257 50.5584i −0.665191 2.07269i
\(596\) 0.873768 + 2.68918i 0.0357909 + 0.110153i
\(597\) −11.3563 + 5.78630i −0.464781 + 0.236818i
\(598\) 9.85616 + 19.3438i 0.403048 + 0.791027i
\(599\) −17.9061 + 24.6456i −0.731622 + 1.00699i 0.267435 + 0.963576i \(0.413824\pi\)
−0.999057 + 0.0434158i \(0.986176\pi\)
\(600\) −4.02375 2.96807i −0.164269 0.121171i
\(601\) −9.81104 + 13.5037i −0.400201 + 0.550829i −0.960794 0.277262i \(-0.910573\pi\)
0.560594 + 0.828091i \(0.310573\pi\)
\(602\) −4.96462 + 31.3454i −0.202343 + 1.27754i
\(603\) 0.371155 + 0.728433i 0.0151146 + 0.0296641i
\(604\) 9.10295 6.61368i 0.370394 0.269107i
\(605\) 19.1631 + 14.0288i 0.779090 + 0.570353i
\(606\) −7.30619 2.37392i −0.296794 0.0964341i
\(607\) −29.5550 4.68105i −1.19960 0.189998i −0.475515 0.879708i \(-0.657738\pi\)
−0.724086 + 0.689710i \(0.757738\pi\)
\(608\) −3.12289 + 0.494617i −0.126650 + 0.0200594i
\(609\) −35.4335 + 11.5130i −1.43584 + 0.466532i
\(610\) −8.71734 17.2626i −0.352955 0.698942i
\(611\) 27.2998 + 8.87026i 1.10443 + 0.358852i
\(612\) 2.37271 + 4.65671i 0.0959111 + 0.188236i
\(613\) 10.4575 20.5240i 0.422374 0.828955i −0.577547 0.816357i \(-0.695990\pi\)
0.999921 0.0125974i \(-0.00400998\pi\)
\(614\) 30.2946i 1.22259i
\(615\) 6.65988 12.9549i 0.268552 0.522391i
\(616\) −2.66014 + 0.864331i −0.107180 + 0.0348249i
\(617\) −36.6475 5.80439i −1.47537 0.233676i −0.633663 0.773609i \(-0.718450\pi\)
−0.841708 + 0.539933i \(0.818450\pi\)
\(618\) 2.34773 + 14.8230i 0.0944395 + 0.596268i
\(619\) 46.7286 1.87818 0.939090 0.343672i \(-0.111671\pi\)
0.939090 + 0.343672i \(0.111671\pi\)
\(620\) 9.71483 7.78602i 0.390157 0.312694i
\(621\) −9.19675 −0.369053
\(622\) 3.95738 + 24.9859i 0.158676 + 1.00184i
\(623\) −43.9339 6.95845i −1.76018 0.278784i
\(624\) −2.24509 + 0.729473i −0.0898754 + 0.0292023i
\(625\) 8.06813 23.6623i 0.322725 0.946493i
\(626\) 10.7474i 0.429554i
\(627\) −0.883658 + 1.73428i −0.0352899 + 0.0692603i
\(628\) −3.90134 7.65681i −0.155680 0.305540i
\(629\) −31.7498 10.3161i −1.26595 0.411331i
\(630\) −3.17441 + 9.65107i −0.126471 + 0.384508i
\(631\) 0.331659 0.107763i 0.0132031 0.00428996i −0.302408 0.953179i \(-0.597790\pi\)
0.315611 + 0.948889i \(0.397790\pi\)
\(632\) −1.36594 + 0.216344i −0.0543343 + 0.00860570i
\(633\) −12.2080 1.93355i −0.485223 0.0768518i
\(634\) −13.0078 4.22649i −0.516606 0.167855i
\(635\) 5.57658 0.862607i 0.221300 0.0342315i
\(636\) −1.92837 + 1.40104i −0.0764650 + 0.0555550i
\(637\) −14.6223 28.6979i −0.579357 1.13705i
\(638\) −0.789666 + 4.98576i −0.0312632 + 0.197388i
\(639\) −2.91140 + 4.00719i −0.115173 + 0.158522i
\(640\) −0.357773 + 2.20726i −0.0141422 + 0.0872496i
\(641\) 0.175149 0.241072i 0.00691798 0.00952179i −0.805544 0.592536i \(-0.798127\pi\)
0.812462 + 0.583014i \(0.198127\pi\)
\(642\) −2.74847 5.39418i −0.108474 0.212891i
\(643\) 40.0725 20.4180i 1.58031 0.805207i 0.580349 0.814368i \(-0.302916\pi\)
0.999958 + 0.00916130i \(0.00291617\pi\)
\(644\) −12.9126 39.7409i −0.508828 1.56601i
\(645\) 14.8715 4.77272i 0.585564 0.187926i
\(646\) 16.5247i 0.650157i
\(647\) −17.1325 8.72943i −0.673547 0.343189i 0.0835392 0.996504i \(-0.473378\pi\)
−0.757086 + 0.653315i \(0.773378\pi\)
\(648\) 0.156434 0.987688i 0.00614533 0.0388001i
\(649\) 3.36131 + 2.44214i 0.131943 + 0.0958622i
\(650\) −6.86854 9.59879i −0.269406 0.376496i
\(651\) −21.1965 13.8085i −0.830755 0.541198i
\(652\) −6.03057 6.03057i −0.236175 0.236175i
\(653\) 10.8933 1.72533i 0.426289 0.0675175i 0.0603960 0.998174i \(-0.480764\pi\)
0.365893 + 0.930657i \(0.380764\pi\)
\(654\) 8.22562 5.97626i 0.321647 0.233690i
\(655\) −29.6726 + 21.3951i −1.15940 + 0.835975i
\(656\) −6.51433 −0.254342
\(657\) 3.69563 3.69563i 0.144180 0.144180i
\(658\) −49.2272 25.0825i −1.91908 0.977818i
\(659\) −29.8449 9.69720i −1.16259 0.377749i −0.336719 0.941605i \(-0.609317\pi\)
−0.825873 + 0.563856i \(0.809317\pi\)
\(660\) 0.969831 + 0.976863i 0.0377506 + 0.0380243i
\(661\) −36.0876 26.2192i −1.40364 1.01981i −0.994209 0.107468i \(-0.965726\pi\)
−0.409435 0.912339i \(-0.634274\pi\)
\(662\) −10.2364 5.21569i −0.397848 0.202714i
\(663\) 1.93000 + 12.1855i 0.0749550 + 0.473247i
\(664\) −0.342478 + 0.248825i −0.0132907 + 0.00965627i
\(665\) −22.7964 + 22.6323i −0.884007 + 0.877644i
\(666\) 3.75453 + 5.16767i 0.145485 + 0.200243i
\(667\) −74.4843 11.7972i −2.88404 0.456788i
\(668\) 20.7292 10.5621i 0.802038 0.408659i
\(669\) 1.60754 + 2.21259i 0.0621510 + 0.0855435i
\(670\) 1.73655 + 0.571182i 0.0670888 + 0.0220667i
\(671\) 1.64523 + 5.06351i 0.0635136 + 0.195475i
\(672\) 4.48763 0.710771i 0.173114 0.0274186i
\(673\) −15.2224 + 7.75618i −0.586779 + 0.298979i −0.722062 0.691828i \(-0.756806\pi\)
0.135283 + 0.990807i \(0.456806\pi\)
\(674\) −4.28143 + 13.1769i −0.164914 + 0.507554i
\(675\) 4.94396 0.746477i 0.190293 0.0287319i
\(676\) 7.42745 0.285671
\(677\) 28.1709 28.1709i 1.08270 1.08270i 0.0864398 0.996257i \(-0.472451\pi\)
0.996257 0.0864398i \(-0.0275490\pi\)
\(678\) 6.17080 12.1109i 0.236988 0.465115i
\(679\) −29.8127 41.0337i −1.14411 1.57473i
\(680\) 11.1014 + 3.65144i 0.425718 + 0.140026i
\(681\) 7.19672i 0.275779i
\(682\) −2.97079 + 1.70950i −0.113757 + 0.0654600i
\(683\) −23.8851 + 23.8851i −0.913937 + 0.913937i −0.996579 0.0826420i \(-0.973664\pi\)
0.0826420 + 0.996579i \(0.473664\pi\)
\(684\) 1.85847 2.55796i 0.0710603 0.0978062i
\(685\) −36.1724 + 5.59529i −1.38208 + 0.213785i
\(686\) 9.32846 + 28.7101i 0.356162 + 1.09615i
\(687\) 15.9261 + 15.9261i 0.607620 + 0.607620i
\(688\) −4.93903 4.93903i −0.188299 0.188299i
\(689\) −5.35139 + 1.73877i −0.203872 + 0.0662419i
\(690\) −14.5938 + 14.4887i −0.555575 + 0.551576i
\(691\) −15.5350 + 47.8118i −0.590979 + 1.81885i −0.0171751 + 0.999852i \(0.505467\pi\)
−0.573804 + 0.818993i \(0.694533\pi\)
\(692\) 1.16847 + 7.37741i 0.0444184 + 0.280447i
\(693\) 1.26983 2.49218i 0.0482367 0.0946699i
\(694\) 1.85437 + 1.34728i 0.0703909 + 0.0511419i
\(695\) −26.4034 19.3293i −1.00154 0.733203i
\(696\) 2.53392 7.79861i 0.0960480 0.295605i
\(697\) −5.32599 + 33.6270i −0.201736 + 1.27371i
\(698\) 4.16894 26.3217i 0.157797 0.996290i
\(699\) 0.772085 2.37623i 0.0292029 0.0898774i
\(700\) 10.1672 + 20.3157i 0.384284 + 0.767862i
\(701\) −0.907111 0.659055i −0.0342611 0.0248922i 0.570523 0.821282i \(-0.306741\pi\)
−0.604784 + 0.796390i \(0.706741\pi\)
\(702\) 1.07170 2.10333i 0.0404487 0.0793851i
\(703\) 3.15941 + 19.9477i 0.119159 + 0.752343i
\(704\) 0.190232 0.585473i 0.00716963 0.0220658i
\(705\) −0.0982106 + 27.1900i −0.00369883 + 1.02403i
\(706\) 17.8078 5.78612i 0.670207 0.217764i
\(707\) 24.6812 + 24.6812i 0.928233 + 0.928233i
\(708\) −4.77238 4.77238i −0.179357 0.179357i
\(709\) 3.41876 + 10.5219i 0.128394 + 0.395156i 0.994504 0.104697i \(-0.0333872\pi\)
−0.866110 + 0.499853i \(0.833387\pi\)
\(710\) 1.69308 + 10.9454i 0.0635403 + 0.410775i
\(711\) 0.812889 1.11885i 0.0304857 0.0419600i
\(712\) 6.92258 6.92258i 0.259435 0.259435i
\(713\) −25.5389 44.3819i −0.956439 1.66211i
\(714\) 23.7463i 0.888681i
\(715\) 1.46476 + 2.90061i 0.0547789 + 0.108477i
\(716\) −5.69490 7.83836i −0.212828 0.292933i
\(717\) 5.29503 10.3921i 0.197747 0.388100i
\(718\) −9.12109 + 9.12109i −0.340396 + 0.340396i
\(719\) 6.60053 0.246158 0.123079 0.992397i \(-0.460723\pi\)
0.123079 + 0.992397i \(0.460723\pi\)
\(720\) −1.30779 1.81375i −0.0487383 0.0675946i
\(721\) 21.0715 64.8513i 0.784743 2.41519i
\(722\) −8.02166 + 4.08724i −0.298535 + 0.152111i
\(723\) 6.28127 0.994856i 0.233603 0.0369991i
\(724\) 3.42555 + 10.5427i 0.127309 + 0.391818i
\(725\) 40.9986 + 0.296179i 1.52265 + 0.0109998i
\(726\) 6.24289 + 8.59260i 0.231695 + 0.318901i
\(727\) −7.37545 + 3.75798i −0.273540 + 0.139376i −0.585380 0.810759i \(-0.699055\pi\)
0.311840 + 0.950135i \(0.399055\pi\)
\(728\) 10.5936 + 1.67786i 0.392625 + 0.0621857i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 0.0422119 11.6865i 0.00156233 0.432538i
\(731\) −29.5333 + 21.4572i −1.09233 + 0.793623i
\(732\) −1.35294 8.54210i −0.0500059 0.315725i
\(733\) 29.1654 + 14.8605i 1.07725 + 0.548885i 0.900271 0.435330i \(-0.143368\pi\)
0.176977 + 0.984215i \(0.443368\pi\)
\(734\) −25.8654 18.7923i −0.954709 0.693636i
\(735\) 21.6509 21.4950i 0.798604 0.792856i
\(736\) 8.74663 + 2.84195i 0.322405 + 0.104756i
\(737\) −0.448426 0.228484i −0.0165180 0.00841633i
\(738\) 4.60633 4.60633i 0.169561 0.169561i
\(739\) 23.5132 0.864946 0.432473 0.901647i \(-0.357641\pi\)
0.432473 + 0.901647i \(0.357641\pi\)
\(740\) 14.0991 + 2.28531i 0.518292 + 0.0840095i
\(741\) 6.03839 4.38715i 0.221826 0.161166i
\(742\) 10.6967 1.69419i 0.392689 0.0621958i
\(743\) 6.25185 + 6.25185i 0.229358 + 0.229358i 0.812425 0.583066i \(-0.198147\pi\)
−0.583066 + 0.812425i \(0.698147\pi\)
\(744\) 5.20082 1.98783i 0.190671 0.0728775i
\(745\) −6.02021 + 1.93207i −0.220563 + 0.0707856i
\(746\) 10.1009 + 7.33874i 0.369820 + 0.268690i
\(747\) 0.0662227 0.418114i 0.00242296 0.0152980i
\(748\) −2.86668 1.46065i −0.104816 0.0534066i
\(749\) 27.5069i 1.00508i
\(750\) 6.66926 8.97335i 0.243527 0.327660i
\(751\) 8.85394 + 27.2496i 0.323085 + 0.994353i 0.972298 + 0.233746i \(0.0750984\pi\)
−0.649213 + 0.760607i \(0.724902\pi\)
\(752\) 10.8345 5.52044i 0.395093 0.201310i
\(753\) 4.84757 + 9.51389i 0.176655 + 0.346705i
\(754\) 11.3777 15.6601i 0.414353 0.570308i
\(755\) 14.7150 + 20.4081i 0.535535 + 0.742727i
\(756\) −2.67064 + 3.67582i −0.0971303 + 0.133688i
\(757\) 1.14840 7.25072i 0.0417393 0.263532i −0.957990 0.286802i \(-0.907408\pi\)
0.999729 + 0.0232702i \(0.00740782\pi\)
\(758\) −5.26587 10.3348i −0.191265 0.375379i
\(759\) 4.58028 3.32777i 0.166254 0.120790i
\(760\) −1.08077 6.98694i −0.0392036 0.253443i
\(761\) −23.1379 7.51797i −0.838750 0.272526i −0.142023 0.989863i \(-0.545361\pi\)
−0.696726 + 0.717337i \(0.745361\pi\)
\(762\) 2.49251 + 0.394775i 0.0902942 + 0.0143012i
\(763\) −45.6276 + 7.22671i −1.65183 + 0.261624i
\(764\) 22.0045 7.14971i 0.796097 0.258667i
\(765\) −10.4318 + 5.26790i −0.377163 + 0.190461i
\(766\) −12.6072 4.09633i −0.455517 0.148006i
\(767\) −7.23309 14.1957i −0.261172 0.512579i
\(768\) −0.453990 + 0.891007i −0.0163820 + 0.0321514i
\(769\) 32.4223i 1.16918i 0.811329 + 0.584589i \(0.198744\pi\)
−0.811329 + 0.584589i \(0.801256\pi\)
\(770\) −1.91121 5.95519i −0.0688751 0.214610i
\(771\) −25.0280 + 8.13208i −0.901360 + 0.292870i
\(772\) 10.6461 + 1.68618i 0.383162 + 0.0606868i
\(773\) 3.97801 + 25.1162i 0.143079 + 0.903365i 0.949896 + 0.312565i \(0.101188\pi\)
−0.806817 + 0.590801i \(0.798812\pi\)
\(774\) 6.98484 0.251065
\(775\) 17.3315 + 21.7858i 0.622565 + 0.782568i
\(776\) 11.1631 0.400733
\(777\) −4.54011 28.6651i −0.162876 1.02836i
\(778\) −17.4371 2.76177i −0.625151 0.0990141i
\(779\) 19.5890 6.36486i 0.701850 0.228045i
\(780\) −1.61301 5.02603i −0.0577549 0.179961i
\(781\) 3.04918i 0.109108i
\(782\) 21.8212 42.8266i 0.780325 1.53147i
\(783\) 3.72269 + 7.30620i 0.133038 + 0.261102i
\(784\) −12.9762 4.21623i −0.463437 0.150580i
\(785\) 17.1525 8.66176i 0.612200 0.309151i
\(786\) −15.5591 + 5.05545i −0.554974 + 0.180322i
\(787\) −27.6049 + 4.37218i −0.984007 + 0.155851i −0.627648 0.778498i \(-0.715982\pi\)
−0.356359 + 0.934349i \(0.615982\pi\)
\(788\) 20.7838 + 3.29183i 0.740392 + 0.117267i
\(789\) −8.23444 2.67553i −0.293154 0.0952515i
\(790\) −0.472725 3.05607i −0.0168188 0.108730i
\(791\) −49.9631 + 36.3003i −1.77648 + 1.29069i
\(792\) 0.279478 + 0.548506i 0.00993081 + 0.0194903i
\(793\) 3.19377 20.1647i 0.113414 0.716069i
\(794\) 1.58771 2.18529i 0.0563456 0.0775531i
\(795\) −3.11724 4.32326i −0.110557 0.153330i
\(796\) −7.49157 + 10.3113i −0.265532 + 0.365473i
\(797\) 8.01232 + 15.7251i 0.283811 + 0.557010i 0.988267 0.152737i \(-0.0488089\pi\)
−0.704456 + 0.709748i \(0.748809\pi\)
\(798\) −12.8001 + 6.52199i −0.453120 + 0.230876i
\(799\) −19.6385 60.4410i −0.694759 2.13825i
\(800\) −4.93266 0.817827i −0.174396 0.0289145i
\(801\) 9.79001i 0.345913i
\(802\) −15.6992 7.99912i −0.554357 0.282459i
\(803\) −0.503311 + 3.17778i −0.0177615 + 0.112142i
\(804\) 0.661404 + 0.480538i 0.0233259 + 0.0169473i
\(805\) 88.9671 28.5523i 3.13568 1.00634i
\(806\) 13.1264 0.669002i 0.462356 0.0235646i
\(807\) −3.71628 3.71628i −0.130819 0.130819i
\(808\) −7.58760 + 1.20176i −0.266931 + 0.0422777i
\(809\) −18.5745 + 13.4952i −0.653046 + 0.474466i −0.864308 0.502964i \(-0.832243\pi\)
0.211261 + 0.977430i \(0.432243\pi\)
\(810\) 2.20726 + 0.357773i 0.0775552 + 0.0125709i
\(811\) −5.79832 −0.203606 −0.101803 0.994805i \(-0.532461\pi\)
−0.101803 + 0.994805i \(0.532461\pi\)
\(812\) −26.3447 + 26.3447i −0.924517 + 0.924517i
\(813\) 11.7681 + 5.99616i 0.412726 + 0.210295i
\(814\) −3.73976 1.21512i −0.131079 0.0425900i
\(815\) 13.5334 13.4360i 0.474054 0.470642i
\(816\) 4.22820 + 3.07197i 0.148017 + 0.107540i
\(817\) 19.6777 + 10.0263i 0.688435 + 0.350775i
\(818\) 4.93725 + 31.1726i 0.172627 + 1.08992i
\(819\) −8.67724 + 6.30438i −0.303207 + 0.220293i
\(820\) 0.0526140 14.5664i 0.00183736 0.508681i
\(821\) 15.5455 + 21.3965i 0.542542 + 0.746744i 0.988977 0.148072i \(-0.0473066\pi\)
−0.446435 + 0.894816i \(0.647307\pi\)
\(822\) −16.1677 2.56071i −0.563912 0.0893149i
\(823\) 7.06233 3.59844i 0.246177 0.125434i −0.326549 0.945180i \(-0.605886\pi\)
0.572726 + 0.819747i \(0.305886\pi\)
\(824\) 8.82133 + 12.1415i 0.307306 + 0.422970i
\(825\) −2.19215 + 2.16071i −0.0763209 + 0.0752261i
\(826\) 9.47610 + 29.1645i 0.329716 + 1.01476i
\(827\) −3.24037 + 0.513224i −0.112679 + 0.0178466i −0.212519 0.977157i \(-0.568167\pi\)
0.0998404 + 0.995003i \(0.468167\pi\)
\(828\) −8.19436 + 4.17524i −0.284774 + 0.145099i
\(829\) 0.495634 1.52540i 0.0172141 0.0529794i −0.942081 0.335387i \(-0.891133\pi\)
0.959295 + 0.282407i \(0.0911330\pi\)
\(830\) −0.553619 0.767808i −0.0192164 0.0266510i
\(831\) −14.9190 −0.517535
\(832\) −1.66921 + 1.66921i −0.0578696 + 0.0578696i
\(833\) −32.3733 + 63.5362i −1.12167 + 2.20140i
\(834\) −8.60162 11.8391i −0.297850 0.409955i
\(835\) 23.4499 + 46.4369i 0.811518 + 1.60702i
\(836\) 1.94642i 0.0673184i
\(837\) −2.27192 + 5.08314i −0.0785292 + 0.175699i
\(838\) 13.4556 13.4556i 0.464816 0.464816i
\(839\) 11.7886 16.2256i 0.406987 0.560169i −0.555493 0.831521i \(-0.687471\pi\)
0.962480 + 0.271352i \(0.0874706\pi\)
\(840\) 1.55308 + 10.0403i 0.0535862 + 0.346424i
\(841\) 11.8165 + 36.3675i 0.407466 + 1.25405i
\(842\) −6.48118 6.48118i −0.223356 0.223356i
\(843\) −2.96236 2.96236i −0.102029 0.102029i
\(844\) −11.7552 + 3.81949i −0.404630 + 0.131472i
\(845\) −0.0599890 + 16.6082i −0.00206368 + 0.571339i
\(846\) −3.75759 + 11.5647i −0.129189 + 0.397602i
\(847\) −7.54912 47.6633i −0.259391 1.63773i
\(848\) −1.08213 + 2.12380i −0.0371606 + 0.0729317i
\(849\) 5.63548 + 4.09442i 0.193409 + 0.140520i
\(850\) −8.25447 + 24.7938i −0.283126 + 0.850419i
\(851\) 18.1532 55.8698i 0.622284 1.91519i
\(852\) −0.774845 + 4.89218i −0.0265458 + 0.167603i
\(853\) −4.15917 + 26.2600i −0.142407 + 0.899125i 0.808240 + 0.588853i \(0.200420\pi\)
−0.950648 + 0.310272i \(0.899580\pi\)
\(854\) −12.1429 + 37.3722i −0.415523 + 1.27885i
\(855\) 5.70473 + 4.17630i 0.195098 + 0.142826i
\(856\) −4.89781 3.55847i −0.167404 0.121626i
\(857\) 6.89430 13.5308i 0.235505 0.462204i −0.742762 0.669556i \(-0.766484\pi\)
0.978266 + 0.207352i \(0.0664845\pi\)
\(858\) 0.227332 + 1.43532i 0.00776097 + 0.0490009i
\(859\) −6.18371 + 19.0315i −0.210985 + 0.649347i 0.788429 + 0.615126i \(0.210895\pi\)
−0.999414 + 0.0342205i \(0.989105\pi\)
\(860\) 11.0838 11.0040i 0.377955 0.375234i
\(861\) −28.1497 + 9.14638i −0.959338 + 0.311708i
\(862\) −3.67852 3.67852i −0.125291 0.125291i
\(863\) 18.0792 + 18.0792i 0.615423 + 0.615423i 0.944354 0.328931i \(-0.106688\pi\)
−0.328931 + 0.944354i \(0.606688\pi\)
\(864\) −0.309017 0.951057i −0.0105130 0.0323556i
\(865\) −16.5057 + 2.55317i −0.561211 + 0.0868103i
\(866\) 21.1428 29.1006i 0.718461 0.988877i
\(867\) 7.29358 7.29358i 0.247703 0.247703i
\(868\) −25.1551 2.68048i −0.853820 0.0909814i
\(869\) 0.851360i 0.0288804i
\(870\) 17.4176 + 5.72897i 0.590513 + 0.194230i
\(871\) 1.13437 + 1.56133i 0.0384366 + 0.0529035i
\(872\) 4.61591 9.05924i 0.156315 0.306785i
\(873\) −7.89352 + 7.89352i −0.267155 + 0.267155i
\(874\) −29.0784 −0.983592
\(875\) −45.5092 + 22.5703i −1.53849 + 0.763015i
\(876\) 1.61505 4.97061i 0.0545675 0.167941i
\(877\) 4.62551 2.35681i 0.156192 0.0795840i −0.374147 0.927369i \(-0.622064\pi\)
0.530339 + 0.847785i \(0.322064\pi\)
\(878\) 26.9600 4.27004i 0.909855 0.144107i
\(879\) 8.75487 + 26.9447i 0.295294 + 0.908822i
\(880\) 1.30761 + 0.430097i 0.0440796 + 0.0144986i
\(881\) −8.58606 11.8177i −0.289272 0.398149i 0.639506 0.768786i \(-0.279139\pi\)
−0.928777 + 0.370638i \(0.879139\pi\)
\(882\) 12.1569 6.19425i 0.409344 0.208571i
\(883\) −24.2021 3.83324i −0.814466 0.128999i −0.264714 0.964327i \(-0.585278\pi\)
−0.549751 + 0.835328i \(0.685278\pi\)
\(884\) 7.25176 + 9.98119i 0.243903 + 0.335704i
\(885\) 10.7099 10.6328i 0.360008 0.357416i
\(886\) 12.1350 8.81662i 0.407684 0.296200i
\(887\) −5.17981 32.7041i −0.173921 1.09809i −0.907981 0.419010i \(-0.862377\pi\)
0.734060 0.679084i \(-0.237623\pi\)
\(888\) 5.69138 + 2.89990i 0.190990 + 0.0973144i
\(889\) −9.27624 6.73958i −0.311115 0.226038i
\(890\) 15.4233 + 15.5352i 0.516992 + 0.520740i
\(891\) −0.585473 0.190232i −0.0196141 0.00637300i
\(892\) 2.43682 + 1.24162i 0.0815907 + 0.0415726i
\(893\) −27.1862 + 27.1862i −0.909752 + 0.909752i
\(894\) −2.82757 −0.0945681
\(895\) 17.5730 12.6708i 0.587400 0.423538i
\(896\) 3.67582 2.67064i 0.122801 0.0892199i
\(897\) −21.4428 + 3.39620i −0.715953 + 0.113396i
\(898\) 28.0939 + 28.0939i 0.937504 + 0.937504i
\(899\) −24.9207 + 38.2540i −0.831152 + 1.27584i
\(900\) 4.06621 2.90963i 0.135540 0.0969876i
\(901\) 10.0783 + 7.32234i 0.335758 + 0.243943i
\(902\) −0.627340 + 3.96087i −0.0208881 + 0.131883i
\(903\) −28.2771 14.4079i −0.941002 0.479464i
\(904\) 13.5923i 0.452075i
\(905\) −23.6018 + 7.57455i −0.784551 + 0.251787i
\(906\) 3.47702 + 10.7012i 0.115516 + 0.355522i
\(907\) 9.62501 4.90419i 0.319593 0.162841i −0.286833 0.957981i \(-0.592602\pi\)
0.606426 + 0.795140i \(0.292602\pi\)
\(908\) −3.26724 6.41233i −0.108427 0.212801i
\(909\) 4.51547 6.21502i 0.149769 0.206139i
\(910\) −3.83735 + 23.6743i −0.127207 + 0.784796i
\(911\) 3.23482 4.45235i 0.107175 0.147513i −0.752061 0.659094i \(-0.770940\pi\)
0.859235 + 0.511581i \(0.170940\pi\)
\(912\) 0.494617 3.12289i 0.0163784 0.103409i
\(913\) 0.118310 + 0.232197i 0.00391550 + 0.00768459i
\(914\) −13.2348 + 9.61561i −0.437767 + 0.318056i
\(915\) 19.1115 2.95625i 0.631807 0.0977304i
\(916\) 21.4206 + 6.95997i 0.707756 + 0.229964i
\(917\) 73.4167 + 11.6281i 2.42443 + 0.383992i
\(918\) −5.16200 + 0.817580i −0.170371 + 0.0269842i
\(919\) 17.1236 5.56380i 0.564856 0.183533i −0.0126490 0.999920i \(-0.504026\pi\)
0.577505 + 0.816387i \(0.304026\pi\)
\(920\) −6.42540 + 19.5350i −0.211839 + 0.644049i
\(921\) −28.8119 9.36156i −0.949385 0.308474i
\(922\) 0.177092 + 0.347562i 0.00583220 + 0.0114463i
\(923\) −5.30831 + 10.4181i −0.174725 + 0.342917i
\(924\) 2.79703i 0.0920157i
\(925\) −5.22394 + 31.5078i −0.171762 + 1.03597i
\(926\) −25.0453 + 8.13773i −0.823041 + 0.267422i
\(927\) −14.8230 2.34773i −0.486850 0.0771095i
\(928\) −1.28275 8.09898i −0.0421084 0.265862i
\(929\) −3.06516 −0.100565 −0.0502823 0.998735i \(-0.516012\pi\)
−0.0502823 + 0.998735i \(0.516012\pi\)
\(930\) 4.40290 + 11.6454i 0.144377 + 0.381867i
\(931\) 43.1399 1.41385
\(932\) −0.390854 2.46776i −0.0128029 0.0808341i
\(933\) −24.9859 3.95738i −0.818001 0.129559i
\(934\) 1.40273 0.455773i 0.0458986 0.0149134i
\(935\) 3.28924 6.39826i 0.107570 0.209245i
\(936\) 2.36062i 0.0771594i
\(937\) −9.12249 + 17.9039i −0.298019 + 0.584895i −0.990655 0.136392i \(-0.956449\pi\)
0.692636 + 0.721287i \(0.256449\pi\)
\(938\) −1.68637 3.30969i −0.0550619 0.108065i
\(939\) −10.2214 3.32114i −0.333564 0.108381i
\(940\) 12.2565 + 24.2711i 0.399763 + 0.791635i
\(941\) −6.78605 + 2.20492i −0.221219 + 0.0718784i −0.417529 0.908663i \(-0.637104\pi\)
0.196311 + 0.980542i \(0.437104\pi\)
\(942\) 8.48763 1.34431i 0.276542 0.0438000i
\(943\) −59.1731 9.37209i −1.92694 0.305197i
\(944\) −6.41884 2.08561i −0.208916 0.0678808i
\(945\) −8.19777 6.00139i −0.266673 0.195225i
\(946\) −3.47868 + 2.52741i −0.113102 + 0.0821732i
\(947\) 1.70822 + 3.35258i 0.0555098 + 0.108944i 0.917095 0.398669i \(-0.130528\pi\)
−0.861585 + 0.507613i \(0.830528\pi\)
\(948\) 0.216344 1.36594i 0.00702653 0.0443637i
\(949\) 7.25186 9.98132i 0.235405 0.324007i
\(950\) 15.6319 2.36022i 0.507166 0.0765757i
\(951\) 8.03927 11.0651i 0.260691 0.358811i
\(952\) −10.7806 21.1581i −0.349400 0.685737i
\(953\) −8.94888 + 4.55968i −0.289883 + 0.147703i −0.592885 0.805287i \(-0.702011\pi\)
0.303002 + 0.952990i \(0.402011\pi\)
\(954\) −0.736573 2.26694i −0.0238474 0.0733948i
\(955\) 15.8094 + 49.2611i 0.511581 + 1.59405i
\(956\) 11.6633i 0.377219i
\(957\) −4.49772 2.29170i −0.145391 0.0740802i
\(958\) −6.59114 + 41.6148i −0.212950 + 1.34451i
\(959\) 60.1703 + 43.7163i 1.94300 + 1.41167i
\(960\) −1.98867 1.02234i −0.0641841 0.0329960i
\(961\) −30.8394 + 3.15172i −0.994818 + 0.101668i
\(962\) 10.6622 + 10.6622i 0.343765 + 0.343765i
\(963\) 5.97949 0.947059i 0.192686 0.0305185i
\(964\) 5.14500 3.73806i 0.165709 0.120395i
\(965\) −3.85637 + 23.7916i −0.124141 + 0.765880i
\(966\) 41.7861 1.34444
\(967\) −40.3994 + 40.3994i −1.29916 + 1.29916i −0.370207 + 0.928949i \(0.620713\pi\)
−0.928949 + 0.370207i \(0.879287\pi\)
\(968\) 9.46341 + 4.82185i 0.304166 + 0.154980i
\(969\) −15.7160 5.10643i −0.504869 0.164042i
\(970\) −0.0901607 + 24.9613i −0.00289488 + 0.801460i
\(971\) −9.20893 6.69068i −0.295529 0.214714i 0.430133 0.902765i \(-0.358466\pi\)
−0.725662 + 0.688051i \(0.758466\pi\)
\(972\) 0.891007 + 0.453990i 0.0285790 + 0.0145618i
\(973\) 10.4014 + 65.6718i 0.333453 + 2.10534i
\(974\) −17.8942 + 13.0009i −0.573368 + 0.416576i
\(975\) 11.2515 3.56618i 0.360336 0.114209i
\(976\) −5.08351 6.99685i −0.162719 0.223964i
\(977\) 51.0422 + 8.08429i 1.63298 + 0.258639i 0.904516 0.426440i \(-0.140232\pi\)
0.728469 + 0.685079i \(0.240232\pi\)
\(978\) 7.59896 3.87187i 0.242988 0.123809i
\(979\) −3.54244 4.87575i −0.113217 0.155830i
\(980\) 9.53253 28.9815i 0.304505 0.925780i
\(981\) 3.14191 + 9.66979i 0.100313 + 0.308733i
\(982\) 15.9926 2.53299i 0.510346 0.0808309i
\(983\) 29.2998 14.9290i 0.934520 0.476162i 0.0807047 0.996738i \(-0.474283\pi\)
0.853815 + 0.520576i \(0.174283\pi\)
\(984\) 2.01304 6.19550i 0.0641734 0.197505i
\(985\) −7.52857 + 46.4471i −0.239880 + 1.47993i
\(986\) −42.8557 −1.36480
\(987\) 39.0669 39.0669i 1.24351 1.24351i
\(988\) 3.38852 6.65035i 0.107803 0.211576i
\(989\) −37.7580 51.9695i −1.20064 1.65253i
\(990\) −1.22875 + 0.620497i −0.0390521 + 0.0197207i
\(991\) 2.83097i 0.0899288i 0.998989 + 0.0449644i \(0.0143174\pi\)
−0.998989 + 0.0449644i \(0.985683\pi\)
\(992\) 3.73151 4.13229i 0.118475 0.131200i
\(993\) 8.12363 8.12363i 0.257796 0.257796i
\(994\) 13.2281 18.2070i 0.419571 0.577489i
\(995\) −22.9960 16.8348i −0.729023 0.533700i
\(996\) −0.130815 0.402607i −0.00414503 0.0127571i
\(997\) 7.50870 + 7.50870i 0.237803 + 0.237803i 0.815940 0.578137i \(-0.196220\pi\)
−0.578137 + 0.815940i \(0.696220\pi\)
\(998\) 8.09877 + 8.09877i 0.256362 + 0.256362i
\(999\) −6.07496 + 1.97387i −0.192203 + 0.0624506i
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 930.2.bj.a.277.12 128
5.3 odd 4 930.2.bj.b.463.12 yes 128
31.15 odd 10 930.2.bj.b.697.12 yes 128
155.108 even 20 inner 930.2.bj.a.883.12 yes 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bj.a.277.12 128 1.1 even 1 trivial
930.2.bj.a.883.12 yes 128 155.108 even 20 inner
930.2.bj.b.463.12 yes 128 5.3 odd 4
930.2.bj.b.697.12 yes 128 31.15 odd 10