Properties

Label 152.2.t.a.101.14
Level $152$
Weight $2$
Character 152.101
Analytic conductor $1.214$
Analytic rank $0$
Dimension $108$
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] = [152,2,Mod(5,152)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(152, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 9, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("152.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 152 = 2^{3} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 152.t (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.21372611072\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 101.14
Character \(\chi\) \(=\) 152.101
Dual form 152.2.t.a.149.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.838546 - 1.13879i) q^{2} +(0.492216 - 1.35235i) q^{3} +(-0.593683 - 1.90985i) q^{4} +(-1.00933 + 0.177973i) q^{5} +(-1.12730 - 1.69454i) q^{6} +(-0.260531 + 0.451253i) q^{7} +(-2.67275 - 0.925420i) q^{8} +(0.711553 + 0.597064i) q^{9} +O(q^{10})\) \(q+(0.838546 - 1.13879i) q^{2} +(0.492216 - 1.35235i) q^{3} +(-0.593683 - 1.90985i) q^{4} +(-1.00933 + 0.177973i) q^{5} +(-1.12730 - 1.69454i) q^{6} +(-0.260531 + 0.451253i) q^{7} +(-2.67275 - 0.925420i) q^{8} +(0.711553 + 0.597064i) q^{9} +(-0.643700 + 1.29866i) q^{10} +(1.98574 - 1.14647i) q^{11} +(-2.87502 - 0.137192i) q^{12} +(0.924810 + 2.54089i) q^{13} +(0.295415 + 0.675086i) q^{14} +(-0.256129 + 1.45258i) q^{15} +(-3.29508 + 2.26769i) q^{16} +(-0.437430 + 0.367047i) q^{17} +(1.27660 - 0.309644i) q^{18} +(4.23726 - 1.02258i) q^{19} +(0.939127 + 1.82202i) q^{20} +(0.482015 + 0.574443i) q^{21} +(0.359549 - 3.22271i) q^{22} +(0.306396 - 1.73766i) q^{23} +(-2.56706 + 3.15899i) q^{24} +(-3.71138 + 1.35083i) q^{25} +(3.66904 + 1.07749i) q^{26} +(4.89668 - 2.82710i) q^{27} +(1.01650 + 0.229675i) q^{28} +(-1.27579 + 1.52043i) q^{29} +(1.43940 + 1.50973i) q^{30} +(-1.00132 + 1.73434i) q^{31} +(-0.180650 + 5.65397i) q^{32} +(-0.573016 - 3.24974i) q^{33} +(0.0511846 + 0.805926i) q^{34} +(0.182652 - 0.501833i) q^{35} +(0.717868 - 1.71343i) q^{36} +4.32841i q^{37} +(2.38863 - 5.68282i) q^{38} +3.89139 q^{39} +(2.86240 + 0.458381i) q^{40} +(-4.47491 - 1.62873i) q^{41} +(1.05836 - 0.0672169i) q^{42} +(-4.71203 + 0.830857i) q^{43} +(-3.36849 - 3.11184i) q^{44} +(-0.824456 - 0.476000i) q^{45} +(-1.72190 - 1.80602i) q^{46} +(6.56946 + 5.51243i) q^{47} +(1.44483 + 5.57231i) q^{48} +(3.36425 + 5.82705i) q^{49} +(-1.57385 + 5.35922i) q^{50} +(0.281067 + 0.772226i) q^{51} +(4.30369 - 3.27474i) q^{52} +(-14.1964 - 2.50321i) q^{53} +(0.886619 - 7.94694i) q^{54} +(-1.80024 + 1.51058i) q^{55} +(1.11393 - 0.964986i) q^{56} +(0.702759 - 6.23359i) q^{57} +(0.661640 + 2.72781i) q^{58} +(-3.56636 - 4.25022i) q^{59} +(2.92627 - 0.373202i) q^{60} +(5.35014 + 0.943373i) q^{61} +(1.13539 + 2.59461i) q^{62} +(-0.454808 + 0.165537i) q^{63} +(6.28720 + 4.94683i) q^{64} +(-1.38565 - 2.40002i) q^{65} +(-4.18126 - 2.07251i) q^{66} +(-4.72759 + 5.63412i) q^{67} +(0.960701 + 0.617517i) q^{68} +(-2.19911 - 1.26966i) q^{69} +(-0.418320 - 0.628812i) q^{70} +(-2.67595 - 15.1760i) q^{71} +(-1.34927 - 2.25429i) q^{72} +(2.39814 + 0.872853i) q^{73} +(4.92915 + 3.62957i) q^{74} +5.68400i q^{75} +(-4.46856 - 7.48545i) q^{76} +1.19476i q^{77} +(3.26311 - 4.43147i) q^{78} +(-7.22701 - 2.63042i) q^{79} +(2.92225 - 2.87530i) q^{80} +(-0.929123 - 5.26932i) q^{81} +(-5.60720 + 3.73021i) q^{82} +(-9.76780 - 5.63944i) q^{83} +(0.810939 - 1.26162i) q^{84} +(0.376189 - 0.448324i) q^{85} +(-3.00508 + 6.06272i) q^{86} +(1.42819 + 2.47370i) q^{87} +(-6.36836 + 1.22658i) q^{88} +(9.40943 - 3.42475i) q^{89} +(-1.23341 + 0.539734i) q^{90} +(-1.38753 - 0.244658i) q^{91} +(-3.50057 + 0.446445i) q^{92} +(1.85257 + 2.20781i) q^{93} +(11.7863 - 2.85881i) q^{94} +(-4.09482 + 1.78624i) q^{95} +(7.55724 + 3.02728i) q^{96} +(-7.69077 + 6.45332i) q^{97} +(9.45685 + 1.05508i) q^{98} +(2.09748 + 0.369842i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/152\mathbb{Z}\right)^\times\).

\(n\) \(39\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.838546 1.13879i 0.592941 0.805246i
\(3\) 0.492216 1.35235i 0.284181 0.780781i −0.712671 0.701498i \(-0.752515\pi\)
0.996852 0.0792827i \(-0.0252630\pi\)
\(4\) −0.593683 1.90985i −0.296841 0.954927i
\(5\) −1.00933 + 0.177973i −0.451388 + 0.0795919i −0.394721 0.918801i \(-0.629159\pi\)
−0.0566676 + 0.998393i \(0.518048\pi\)
\(6\) −1.12730 1.69454i −0.460218 0.691793i
\(7\) −0.260531 + 0.451253i −0.0984714 + 0.170558i −0.911052 0.412291i \(-0.864729\pi\)
0.812581 + 0.582849i \(0.198062\pi\)
\(8\) −2.67275 0.925420i −0.944960 0.327185i
\(9\) 0.711553 + 0.597064i 0.237184 + 0.199021i
\(10\) −0.643700 + 1.29866i −0.203556 + 0.410672i
\(11\) 1.98574 1.14647i 0.598724 0.345674i −0.169815 0.985476i \(-0.554317\pi\)
0.768539 + 0.639802i \(0.220984\pi\)
\(12\) −2.87502 0.137192i −0.829945 0.0396040i
\(13\) 0.924810 + 2.54089i 0.256496 + 0.704717i 0.999377 + 0.0352935i \(0.0112366\pi\)
−0.742881 + 0.669424i \(0.766541\pi\)
\(14\) 0.295415 + 0.675086i 0.0789529 + 0.180424i
\(15\) −0.256129 + 1.45258i −0.0661321 + 0.375054i
\(16\) −3.29508 + 2.26769i −0.823770 + 0.566924i
\(17\) −0.437430 + 0.367047i −0.106092 + 0.0890220i −0.694291 0.719695i \(-0.744282\pi\)
0.588198 + 0.808717i \(0.299837\pi\)
\(18\) 1.27660 0.309644i 0.300897 0.0729837i
\(19\) 4.23726 1.02258i 0.972093 0.234596i
\(20\) 0.939127 + 1.82202i 0.209995 + 0.407417i
\(21\) 0.482015 + 0.574443i 0.105184 + 0.125354i
\(22\) 0.359549 3.22271i 0.0766561 0.687084i
\(23\) 0.306396 1.73766i 0.0638879 0.362326i −0.936057 0.351848i \(-0.885553\pi\)
0.999945 0.0104784i \(-0.00333543\pi\)
\(24\) −2.56706 + 3.15899i −0.524000 + 0.644827i
\(25\) −3.71138 + 1.35083i −0.742276 + 0.270166i
\(26\) 3.66904 + 1.07749i 0.719557 + 0.211313i
\(27\) 4.89668 2.82710i 0.942367 0.544076i
\(28\) 1.01650 + 0.229675i 0.192100 + 0.0434045i
\(29\) −1.27579 + 1.52043i −0.236909 + 0.282337i −0.871379 0.490610i \(-0.836774\pi\)
0.634470 + 0.772947i \(0.281218\pi\)
\(30\) 1.43940 + 1.50973i 0.262798 + 0.275638i
\(31\) −1.00132 + 1.73434i −0.179842 + 0.311496i −0.941826 0.336100i \(-0.890892\pi\)
0.761984 + 0.647596i \(0.224225\pi\)
\(32\) −0.180650 + 5.65397i −0.0319347 + 0.999490i
\(33\) −0.573016 3.24974i −0.0997493 0.565706i
\(34\) 0.0511846 + 0.805926i 0.00877809 + 0.138215i
\(35\) 0.182652 0.501833i 0.0308738 0.0848252i
\(36\) 0.717868 1.71343i 0.119645 0.285571i
\(37\) 4.32841i 0.711586i 0.934565 + 0.355793i \(0.115789\pi\)
−0.934565 + 0.355793i \(0.884211\pi\)
\(38\) 2.38863 5.68282i 0.387487 0.921875i
\(39\) 3.89139 0.623121
\(40\) 2.86240 + 0.458381i 0.452585 + 0.0724764i
\(41\) −4.47491 1.62873i −0.698864 0.254366i −0.0319381 0.999490i \(-0.510168\pi\)
−0.666926 + 0.745124i \(0.732390\pi\)
\(42\) 1.05836 0.0672169i 0.163309 0.0103718i
\(43\) −4.71203 + 0.830857i −0.718577 + 0.126705i −0.520968 0.853576i \(-0.674429\pi\)
−0.197609 + 0.980281i \(0.563318\pi\)
\(44\) −3.36849 3.11184i −0.507819 0.469128i
\(45\) −0.824456 0.476000i −0.122903 0.0709579i
\(46\) −1.72190 1.80602i −0.253880 0.266284i
\(47\) 6.56946 + 5.51243i 0.958255 + 0.804071i 0.980668 0.195678i \(-0.0626906\pi\)
−0.0224135 + 0.999749i \(0.507135\pi\)
\(48\) 1.44483 + 5.57231i 0.208543 + 0.804293i
\(49\) 3.36425 + 5.82705i 0.480607 + 0.832435i
\(50\) −1.57385 + 5.35922i −0.222576 + 0.757907i
\(51\) 0.281067 + 0.772226i 0.0393573 + 0.108133i
\(52\) 4.30369 3.27474i 0.596815 0.454124i
\(53\) −14.1964 2.50321i −1.95003 0.343842i −0.999443 0.0333730i \(-0.989375\pi\)
−0.950583 0.310469i \(-0.899514\pi\)
\(54\) 0.886619 7.94694i 0.120654 1.08144i
\(55\) −1.80024 + 1.51058i −0.242744 + 0.203687i
\(56\) 1.11393 0.964986i 0.148855 0.128952i
\(57\) 0.702759 6.23359i 0.0930827 0.825659i
\(58\) 0.661640 + 2.72781i 0.0868775 + 0.358179i
\(59\) −3.56636 4.25022i −0.464300 0.553332i 0.482189 0.876067i \(-0.339842\pi\)
−0.946489 + 0.322736i \(0.895397\pi\)
\(60\) 2.92627 0.373202i 0.377780 0.0481802i
\(61\) 5.35014 + 0.943373i 0.685015 + 0.120787i 0.505315 0.862935i \(-0.331376\pi\)
0.179700 + 0.983722i \(0.442487\pi\)
\(62\) 1.13539 + 2.59461i 0.144195 + 0.329516i
\(63\) −0.454808 + 0.165537i −0.0573005 + 0.0208557i
\(64\) 6.28720 + 4.94683i 0.785900 + 0.618354i
\(65\) −1.38565 2.40002i −0.171869 0.297686i
\(66\) −4.18126 2.07251i −0.514678 0.255108i
\(67\) −4.72759 + 5.63412i −0.577567 + 0.688318i −0.973166 0.230106i \(-0.926093\pi\)
0.395598 + 0.918424i \(0.370537\pi\)
\(68\) 0.960701 + 0.617517i 0.116502 + 0.0748850i
\(69\) −2.19911 1.26966i −0.264742 0.152849i
\(70\) −0.418320 0.628812i −0.0499987 0.0751574i
\(71\) −2.67595 15.1760i −0.317576 1.80106i −0.557396 0.830247i \(-0.688199\pi\)
0.239819 0.970818i \(-0.422912\pi\)
\(72\) −1.34927 2.25429i −0.159013 0.265670i
\(73\) 2.39814 + 0.872853i 0.280681 + 0.102160i 0.478525 0.878074i \(-0.341172\pi\)
−0.197844 + 0.980234i \(0.563394\pi\)
\(74\) 4.92915 + 3.62957i 0.573002 + 0.421929i
\(75\) 5.68400i 0.656331i
\(76\) −4.46856 7.48545i −0.512579 0.858640i
\(77\) 1.19476i 0.136156i
\(78\) 3.26311 4.43147i 0.369474 0.501766i
\(79\) −7.22701 2.63042i −0.813102 0.295945i −0.0981976 0.995167i \(-0.531308\pi\)
−0.714905 + 0.699222i \(0.753530\pi\)
\(80\) 2.92225 2.87530i 0.326718 0.321468i
\(81\) −0.929123 5.26932i −0.103236 0.585480i
\(82\) −5.60720 + 3.73021i −0.619212 + 0.411933i
\(83\) −9.76780 5.63944i −1.07216 0.619009i −0.143386 0.989667i \(-0.545799\pi\)
−0.928770 + 0.370658i \(0.879132\pi\)
\(84\) 0.810939 1.26162i 0.0884807 0.137654i
\(85\) 0.376189 0.448324i 0.0408034 0.0486276i
\(86\) −3.00508 + 6.06272i −0.324046 + 0.653759i
\(87\) 1.42819 + 2.47370i 0.153118 + 0.265208i
\(88\) −6.36836 + 1.22658i −0.678870 + 0.130754i
\(89\) 9.40943 3.42475i 0.997397 0.363023i 0.208817 0.977955i \(-0.433039\pi\)
0.788580 + 0.614932i \(0.210816\pi\)
\(90\) −1.23341 + 0.539734i −0.130013 + 0.0568930i
\(91\) −1.38753 0.244658i −0.145452 0.0256472i
\(92\) −3.50057 + 0.446445i −0.364960 + 0.0465451i
\(93\) 1.85257 + 2.20781i 0.192102 + 0.228939i
\(94\) 11.7863 2.85881i 1.21566 0.294864i
\(95\) −4.09482 + 1.78624i −0.420120 + 0.183264i
\(96\) 7.55724 + 3.02728i 0.771308 + 0.308970i
\(97\) −7.69077 + 6.45332i −0.780879 + 0.655235i −0.943470 0.331458i \(-0.892459\pi\)
0.162591 + 0.986694i \(0.448015\pi\)
\(98\) 9.45685 + 1.05508i 0.955287 + 0.106579i
\(99\) 2.09748 + 0.369842i 0.210804 + 0.0371705i
\(100\) 4.78327 + 6.28623i 0.478327 + 0.628623i
\(101\) −5.68012 15.6060i −0.565193 1.55285i −0.811920 0.583769i \(-0.801577\pi\)
0.246727 0.969085i \(-0.420645\pi\)
\(102\) 1.11509 + 0.327470i 0.110410 + 0.0324244i
\(103\) −4.23834 7.34102i −0.417616 0.723333i 0.578083 0.815978i \(-0.303801\pi\)
−0.995699 + 0.0926455i \(0.970468\pi\)
\(104\) −0.120393 7.64701i −0.0118055 0.749851i
\(105\) −0.588750 0.494020i −0.0574561 0.0482114i
\(106\) −14.7550 + 14.0677i −1.43313 + 1.36637i
\(107\) −0.906349 0.523281i −0.0876200 0.0505875i 0.455550 0.890210i \(-0.349443\pi\)
−0.543170 + 0.839623i \(0.682776\pi\)
\(108\) −8.30642 7.67355i −0.799286 0.738387i
\(109\) 15.6636 2.76191i 1.50030 0.264543i 0.637642 0.770333i \(-0.279910\pi\)
0.862657 + 0.505790i \(0.168799\pi\)
\(110\) 0.210650 + 3.31678i 0.0200847 + 0.316243i
\(111\) 5.85354 + 2.13051i 0.555593 + 0.202219i
\(112\) −0.164833 2.07772i −0.0155752 0.196326i
\(113\) 14.5575 1.36946 0.684728 0.728799i \(-0.259921\pi\)
0.684728 + 0.728799i \(0.259921\pi\)
\(114\) −6.50945 6.02745i −0.609666 0.564522i
\(115\) 1.80841i 0.168635i
\(116\) 3.66121 + 1.53392i 0.339935 + 0.142421i
\(117\) −0.859025 + 2.36015i −0.0794169 + 0.218196i
\(118\) −7.83066 + 0.497328i −0.720871 + 0.0457827i
\(119\) −0.0516671 0.293019i −0.00473631 0.0268610i
\(120\) 2.02881 3.64535i 0.185204 0.332774i
\(121\) −2.87122 + 4.97309i −0.261020 + 0.452099i
\(122\) 5.56064 5.30162i 0.503436 0.479986i
\(123\) −4.40525 + 5.24997i −0.397208 + 0.473374i
\(124\) 3.90680 + 0.882729i 0.350841 + 0.0792714i
\(125\) 7.94359 4.58623i 0.710496 0.410205i
\(126\) −0.192866 + 0.656741i −0.0171819 + 0.0585071i
\(127\) 6.88602 2.50631i 0.611036 0.222399i −0.0179207 0.999839i \(-0.505705\pi\)
0.628956 + 0.777441i \(0.283482\pi\)
\(128\) 10.9055 3.01165i 0.963919 0.266195i
\(129\) −1.19572 + 6.78128i −0.105278 + 0.597058i
\(130\) −3.89505 0.434560i −0.341619 0.0381135i
\(131\) 5.74927 + 6.85171i 0.502316 + 0.598637i 0.956305 0.292370i \(-0.0944440\pi\)
−0.453989 + 0.891007i \(0.650000\pi\)
\(132\) −5.86633 + 3.02369i −0.510598 + 0.263178i
\(133\) −0.642495 + 2.17849i −0.0557114 + 0.188899i
\(134\) 2.45178 + 10.1082i 0.211802 + 0.873216i
\(135\) −4.43924 + 3.72497i −0.382069 + 0.320594i
\(136\) 1.50881 0.576220i 0.129380 0.0494104i
\(137\) −2.57292 + 14.5918i −0.219819 + 1.24666i 0.652525 + 0.757767i \(0.273710\pi\)
−0.872345 + 0.488891i \(0.837401\pi\)
\(138\) −3.28992 + 1.43966i −0.280057 + 0.122552i
\(139\) 3.98742 + 10.9553i 0.338208 + 0.929220i 0.985903 + 0.167320i \(0.0535112\pi\)
−0.647694 + 0.761900i \(0.724267\pi\)
\(140\) −1.06686 0.0509095i −0.0901665 0.00430264i
\(141\) 10.6883 6.17092i 0.900121 0.519685i
\(142\) −19.5262 9.67846i −1.63860 0.812199i
\(143\) 4.74949 + 3.98530i 0.397172 + 0.333267i
\(144\) −3.69858 0.353790i −0.308215 0.0294825i
\(145\) 1.01711 1.76168i 0.0844661 0.146299i
\(146\) 3.00495 1.99905i 0.248691 0.165443i
\(147\) 9.53616 1.68148i 0.786529 0.138686i
\(148\) 8.26663 2.56970i 0.679513 0.211228i
\(149\) −1.58842 + 4.36415i −0.130129 + 0.357525i −0.987597 0.157012i \(-0.949814\pi\)
0.857468 + 0.514537i \(0.172036\pi\)
\(150\) 6.47287 + 4.76629i 0.528508 + 0.389166i
\(151\) −10.2438 −0.833627 −0.416813 0.908992i \(-0.636853\pi\)
−0.416813 + 0.908992i \(0.636853\pi\)
\(152\) −12.2714 1.18814i −0.995345 0.0963711i
\(153\) −0.530405 −0.0428807
\(154\) 1.36058 + 1.00186i 0.109639 + 0.0807324i
\(155\) 0.702002 1.92873i 0.0563862 0.154920i
\(156\) −2.31025 7.43198i −0.184968 0.595035i
\(157\) 15.6133 2.75305i 1.24608 0.219717i 0.488559 0.872531i \(-0.337523\pi\)
0.757518 + 0.652814i \(0.226412\pi\)
\(158\) −9.05567 + 6.02432i −0.720430 + 0.479269i
\(159\) −10.3729 + 17.9664i −0.822626 + 1.42483i
\(160\) −0.823917 5.73890i −0.0651364 0.453700i
\(161\) 0.704296 + 0.590975i 0.0555063 + 0.0465753i
\(162\) −6.77976 3.36049i −0.532668 0.264025i
\(163\) −15.4040 + 8.89351i −1.20654 + 0.696594i −0.962001 0.273047i \(-0.911969\pi\)
−0.244535 + 0.969641i \(0.578635\pi\)
\(164\) −0.453967 + 9.51338i −0.0354489 + 0.742870i
\(165\) 1.15673 + 3.17809i 0.0900513 + 0.247414i
\(166\) −14.6129 + 6.39454i −1.13418 + 0.496312i
\(167\) −0.700865 + 3.97480i −0.0542346 + 0.307579i −0.999843 0.0177280i \(-0.994357\pi\)
0.945608 + 0.325307i \(0.105468\pi\)
\(168\) −0.756706 1.98141i −0.0583811 0.152869i
\(169\) 4.35771 3.65655i 0.335209 0.281273i
\(170\) −0.195096 0.804340i −0.0149631 0.0616901i
\(171\) 3.62558 + 1.80229i 0.277255 + 0.137825i
\(172\) 4.38426 + 8.50601i 0.334297 + 0.648577i
\(173\) 4.54407 + 5.41541i 0.345479 + 0.411726i 0.910604 0.413279i \(-0.135617\pi\)
−0.565125 + 0.825005i \(0.691172\pi\)
\(174\) 4.01463 + 0.447901i 0.304348 + 0.0339553i
\(175\) 0.357363 2.02670i 0.0270141 0.153204i
\(176\) −3.94334 + 8.28077i −0.297241 + 0.624186i
\(177\) −7.50321 + 2.73095i −0.563976 + 0.205271i
\(178\) 3.99016 13.5872i 0.299075 1.01840i
\(179\) 9.72285 5.61349i 0.726720 0.419572i −0.0905010 0.995896i \(-0.528847\pi\)
0.817221 + 0.576324i \(0.195513\pi\)
\(180\) −0.419625 + 1.85718i −0.0312770 + 0.138426i
\(181\) 11.8714 14.1477i 0.882391 1.05159i −0.115906 0.993260i \(-0.536977\pi\)
0.998297 0.0583325i \(-0.0185784\pi\)
\(182\) −1.44212 + 1.37494i −0.106897 + 0.101918i
\(183\) 3.90920 6.77093i 0.288976 0.500521i
\(184\) −2.42698 + 4.36078i −0.178919 + 0.321481i
\(185\) −0.770340 4.36882i −0.0566365 0.321202i
\(186\) 4.06769 0.258340i 0.298257 0.0189424i
\(187\) −0.447815 + 1.23036i −0.0327475 + 0.0899729i
\(188\) 6.62777 15.8194i 0.483380 1.15374i
\(189\) 2.94619i 0.214304i
\(190\) −1.39954 + 6.16098i −0.101533 + 0.446964i
\(191\) 6.99654 0.506252 0.253126 0.967433i \(-0.418541\pi\)
0.253126 + 0.967433i \(0.418541\pi\)
\(192\) 9.78452 6.06759i 0.706137 0.437891i
\(193\) −17.4003 6.33318i −1.25250 0.455872i −0.371253 0.928532i \(-0.621072\pi\)
−0.881245 + 0.472659i \(0.843294\pi\)
\(194\) 0.899914 + 14.1696i 0.0646101 + 1.01732i
\(195\) −3.92772 + 0.692562i −0.281270 + 0.0495954i
\(196\) 9.13151 9.88464i 0.652251 0.706045i
\(197\) −12.2998 7.10130i −0.876326 0.505947i −0.00688052 0.999976i \(-0.502190\pi\)
−0.869445 + 0.494029i \(0.835523\pi\)
\(198\) 2.18000 2.07846i 0.154926 0.147709i
\(199\) 16.1358 + 13.5396i 1.14384 + 0.959794i 0.999558 0.0297428i \(-0.00946883\pi\)
0.144280 + 0.989537i \(0.453913\pi\)
\(200\) 11.1697 0.175853i 0.789816 0.0124347i
\(201\) 5.29232 + 9.16658i 0.373292 + 0.646560i
\(202\) −22.5350 6.61788i −1.58556 0.465632i
\(203\) −0.353715 0.971824i −0.0248259 0.0682086i
\(204\) 1.30797 0.995254i 0.0915765 0.0696817i
\(205\) 4.80655 + 0.847525i 0.335704 + 0.0591937i
\(206\) −11.9139 1.32920i −0.830082 0.0926100i
\(207\) 1.25551 1.05350i 0.0872638 0.0732230i
\(208\) −8.80929 6.27527i −0.610815 0.435111i
\(209\) 7.24175 6.88846i 0.500922 0.476485i
\(210\) −1.05628 + 0.256204i −0.0728902 + 0.0176798i
\(211\) −9.42693 11.2346i −0.648976 0.773420i 0.336783 0.941582i \(-0.390661\pi\)
−0.985759 + 0.168162i \(0.946217\pi\)
\(212\) 3.64740 + 28.5992i 0.250504 + 1.96420i
\(213\) −21.8405 3.85107i −1.49649 0.263871i
\(214\) −1.35592 + 0.593346i −0.0926889 + 0.0405603i
\(215\) 4.60814 1.67723i 0.314273 0.114386i
\(216\) −15.7039 + 3.02465i −1.06851 + 0.205801i
\(217\) −0.521750 0.903697i −0.0354187 0.0613469i
\(218\) 9.98939 20.1535i 0.676567 1.36497i
\(219\) 2.36081 2.81350i 0.159529 0.190119i
\(220\) 3.95376 + 2.54139i 0.266562 + 0.171340i
\(221\) −1.33717 0.772014i −0.0899476 0.0519313i
\(222\) 7.33466 4.87941i 0.492270 0.327485i
\(223\) −4.47438 25.3755i −0.299627 1.69927i −0.647777 0.761830i \(-0.724301\pi\)
0.348150 0.937439i \(-0.386810\pi\)
\(224\) −2.50430 1.55455i −0.167326 0.103868i
\(225\) −3.44738 1.25474i −0.229825 0.0836495i
\(226\) 12.2071 16.5779i 0.812007 1.10275i
\(227\) 2.95576i 0.196180i −0.995178 0.0980902i \(-0.968727\pi\)
0.995178 0.0980902i \(-0.0312734\pi\)
\(228\) −12.3225 + 2.35861i −0.816075 + 0.156203i
\(229\) 7.71152i 0.509591i 0.966995 + 0.254796i \(0.0820082\pi\)
−0.966995 + 0.254796i \(0.917992\pi\)
\(230\) 2.05939 + 1.51643i 0.135792 + 0.0999905i
\(231\) 1.61574 + 0.588081i 0.106308 + 0.0386929i
\(232\) 4.81691 2.88309i 0.316246 0.189284i
\(233\) −3.25407 18.4548i −0.213181 1.20901i −0.884035 0.467421i \(-0.845183\pi\)
0.670853 0.741590i \(-0.265928\pi\)
\(234\) 1.96738 + 2.95734i 0.128612 + 0.193328i
\(235\) −7.61185 4.39471i −0.496543 0.286679i
\(236\) −6.00001 + 9.33450i −0.390568 + 0.607625i
\(237\) −7.11450 + 8.47873i −0.462137 + 0.550753i
\(238\) −0.377012 0.186871i −0.0244380 0.0121131i
\(239\) −11.4773 19.8793i −0.742406 1.28588i −0.951397 0.307967i \(-0.900351\pi\)
0.208992 0.977917i \(-0.432982\pi\)
\(240\) −2.45004 5.36718i −0.158149 0.346450i
\(241\) 25.2350 9.18478i 1.62553 0.591644i 0.641104 0.767454i \(-0.278477\pi\)
0.984424 + 0.175810i \(0.0562545\pi\)
\(242\) 3.25566 + 7.43987i 0.209282 + 0.478253i
\(243\) 9.12160 + 1.60838i 0.585151 + 0.103178i
\(244\) −1.37458 10.7780i −0.0879984 0.689993i
\(245\) −4.43271 5.28270i −0.283195 0.337499i
\(246\) 2.28461 + 9.41898i 0.145661 + 0.600533i
\(247\) 6.51692 + 9.82072i 0.414661 + 0.624878i
\(248\) 4.28127 3.70881i 0.271861 0.235510i
\(249\) −12.4344 + 10.4337i −0.787997 + 0.661208i
\(250\) 1.43831 12.8918i 0.0909665 0.815351i
\(251\) 4.15999 + 0.733519i 0.262576 + 0.0462993i 0.303386 0.952868i \(-0.401883\pi\)
−0.0408099 + 0.999167i \(0.512994\pi\)
\(252\) 0.586163 + 0.770341i 0.0369248 + 0.0485269i
\(253\) −1.38375 3.80181i −0.0869954 0.239018i
\(254\) 2.92009 9.94338i 0.183223 0.623903i
\(255\) −0.421126 0.729412i −0.0263719 0.0456776i
\(256\) 5.71513 14.9445i 0.357195 0.934030i
\(257\) −12.9825 10.8936i −0.809826 0.679525i 0.140740 0.990047i \(-0.455052\pi\)
−0.950566 + 0.310522i \(0.899496\pi\)
\(258\) 6.71978 + 7.04809i 0.418355 + 0.438795i
\(259\) −1.95321 1.12768i −0.121366 0.0700709i
\(260\) −3.76105 + 4.07125i −0.233250 + 0.252488i
\(261\) −1.81559 + 0.320137i −0.112382 + 0.0198160i
\(262\) 12.6237 0.801734i 0.779893 0.0495313i
\(263\) 5.66621 + 2.06233i 0.349393 + 0.127169i 0.510754 0.859727i \(-0.329366\pi\)
−0.161361 + 0.986895i \(0.551588\pi\)
\(264\) −1.47584 + 9.21601i −0.0908317 + 0.567206i
\(265\) 14.7744 0.907586
\(266\) 1.94208 + 2.55843i 0.119076 + 0.156867i
\(267\) 14.4106i 0.881913i
\(268\) 13.5670 + 5.68413i 0.828739 + 0.347213i
\(269\) −3.57231 + 9.81483i −0.217807 + 0.598421i −0.999687 0.0250082i \(-0.992039\pi\)
0.781880 + 0.623429i \(0.214261\pi\)
\(270\) 0.519446 + 8.17892i 0.0316125 + 0.497753i
\(271\) 0.165651 + 0.939452i 0.0100626 + 0.0570676i 0.989426 0.145041i \(-0.0463316\pi\)
−0.979363 + 0.202109i \(0.935220\pi\)
\(272\) 0.609016 2.20141i 0.0369270 0.133480i
\(273\) −1.01383 + 1.75600i −0.0613596 + 0.106278i
\(274\) 14.4594 + 15.1659i 0.873526 + 0.916204i
\(275\) −5.82116 + 6.93739i −0.351029 + 0.418340i
\(276\) −1.11928 + 4.95375i −0.0673730 + 0.298181i
\(277\) −13.8263 + 7.98263i −0.830743 + 0.479630i −0.854107 0.520097i \(-0.825896\pi\)
0.0233638 + 0.999727i \(0.492562\pi\)
\(278\) 15.8195 + 4.64572i 0.948788 + 0.278632i
\(279\) −1.74800 + 0.636221i −0.104650 + 0.0380895i
\(280\) −0.952590 + 1.17224i −0.0569281 + 0.0700550i
\(281\) −2.40403 + 13.6339i −0.143412 + 0.813331i 0.825216 + 0.564817i \(0.191053\pi\)
−0.968628 + 0.248514i \(0.920058\pi\)
\(282\) 1.93529 17.3464i 0.115245 1.03296i
\(283\) −3.33287 3.97196i −0.198119 0.236109i 0.657834 0.753163i \(-0.271473\pi\)
−0.855953 + 0.517054i \(0.827028\pi\)
\(284\) −27.3954 + 14.1204i −1.62562 + 0.837892i
\(285\) 0.400092 + 6.41685i 0.0236994 + 0.380102i
\(286\) 8.52108 2.06682i 0.503862 0.122214i
\(287\) 1.90082 1.59498i 0.112202 0.0941487i
\(288\) −3.50432 + 3.91524i −0.206494 + 0.230708i
\(289\) −2.89540 + 16.4206i −0.170318 + 0.965919i
\(290\) −1.15329 2.63552i −0.0677236 0.154763i
\(291\) 4.94164 + 13.5771i 0.289684 + 0.795901i
\(292\) 0.243285 5.09830i 0.0142372 0.298355i
\(293\) −24.9782 + 14.4212i −1.45924 + 0.842495i −0.998974 0.0452833i \(-0.985581\pi\)
−0.460271 + 0.887779i \(0.652248\pi\)
\(294\) 6.08165 12.2697i 0.354689 0.715582i
\(295\) 4.35607 + 3.65518i 0.253620 + 0.212813i
\(296\) 4.00560 11.5688i 0.232821 0.672421i
\(297\) 6.48237 11.2278i 0.376145 0.651503i
\(298\) 3.63789 + 5.46842i 0.210737 + 0.316777i
\(299\) 4.69855 0.828482i 0.271724 0.0479123i
\(300\) 10.8556 3.37449i 0.626748 0.194826i
\(301\) 0.852702 2.34278i 0.0491489 0.135036i
\(302\) −8.58987 + 11.6655i −0.494292 + 0.671274i
\(303\) −23.9006 −1.37306
\(304\) −11.6432 + 12.9783i −0.667784 + 0.744355i
\(305\) −5.56797 −0.318821
\(306\) −0.444769 + 0.604020i −0.0254257 + 0.0345295i
\(307\) 8.58352 23.5830i 0.489888 1.34595i −0.410894 0.911683i \(-0.634783\pi\)
0.900782 0.434272i \(-0.142994\pi\)
\(308\) 2.28182 0.709310i 0.130019 0.0404167i
\(309\) −12.0138 + 2.11836i −0.683443 + 0.120509i
\(310\) −1.60776 2.41676i −0.0913147 0.137263i
\(311\) −16.4770 + 28.5390i −0.934324 + 1.61830i −0.158490 + 0.987361i \(0.550663\pi\)
−0.775834 + 0.630937i \(0.782671\pi\)
\(312\) −10.4007 3.60117i −0.588825 0.203876i
\(313\) −4.28501 3.59555i −0.242203 0.203233i 0.513603 0.858028i \(-0.328310\pi\)
−0.755806 + 0.654795i \(0.772755\pi\)
\(314\) 9.95733 20.0888i 0.561924 1.13368i
\(315\) 0.429593 0.248026i 0.0242048 0.0139747i
\(316\) −0.733160 + 15.3642i −0.0412435 + 0.864302i
\(317\) 8.37107 + 22.9993i 0.470166 + 1.29177i 0.917618 + 0.397463i \(0.130109\pi\)
−0.447452 + 0.894308i \(0.647669\pi\)
\(318\) 11.7618 + 26.8782i 0.659569 + 1.50726i
\(319\) −0.790269 + 4.48184i −0.0442466 + 0.250935i
\(320\) −7.22629 3.87406i −0.403962 0.216567i
\(321\) −1.15378 + 0.968136i −0.0643977 + 0.0540361i
\(322\) 1.26358 0.306486i 0.0704166 0.0170798i
\(323\) −1.47817 + 2.00258i −0.0822474 + 0.111426i
\(324\) −9.51203 + 4.90279i −0.528446 + 0.272377i
\(325\) −6.86464 8.18096i −0.380782 0.453798i
\(326\) −2.78913 + 24.9995i −0.154476 + 1.38460i
\(327\) 3.97479 22.5421i 0.219806 1.24658i
\(328\) 10.4531 + 8.49437i 0.577174 + 0.469023i
\(329\) −4.19905 + 1.52833i −0.231501 + 0.0842595i
\(330\) 4.58915 + 1.34770i 0.252624 + 0.0741885i
\(331\) −16.0022 + 9.23885i −0.879558 + 0.507813i −0.870513 0.492146i \(-0.836213\pi\)
−0.00904545 + 0.999959i \(0.502879\pi\)
\(332\) −4.97153 + 22.0031i −0.272848 + 1.20758i
\(333\) −2.58434 + 3.07989i −0.141621 + 0.168777i
\(334\) 3.93876 + 4.13119i 0.215519 + 0.226049i
\(335\) 3.76900 6.52810i 0.205923 0.356668i
\(336\) −2.89094 0.799775i −0.157714 0.0436313i
\(337\) 2.51291 + 14.2514i 0.136887 + 0.776324i 0.973527 + 0.228571i \(0.0734053\pi\)
−0.836640 + 0.547752i \(0.815484\pi\)
\(338\) −0.509905 8.02870i −0.0277352 0.436704i
\(339\) 7.16544 19.6869i 0.389173 1.06924i
\(340\) −1.07957 0.452303i −0.0585479 0.0245296i
\(341\) 4.59193i 0.248667i
\(342\) 5.09264 2.61746i 0.275379 0.141536i
\(343\) −7.15339 −0.386247
\(344\) 13.3630 + 2.13993i 0.720483 + 0.115377i
\(345\) 2.44560 + 0.890126i 0.131667 + 0.0479228i
\(346\) 9.97742 0.633669i 0.536390 0.0340663i
\(347\) 18.2618 3.22004i 0.980342 0.172861i 0.339561 0.940584i \(-0.389722\pi\)
0.640782 + 0.767723i \(0.278610\pi\)
\(348\) 3.87651 4.19623i 0.207803 0.224942i
\(349\) 13.2179 + 7.63137i 0.707539 + 0.408498i 0.810149 0.586224i \(-0.199386\pi\)
−0.102610 + 0.994722i \(0.532719\pi\)
\(350\) −2.00832 2.10644i −0.107349 0.112594i
\(351\) 11.7119 + 9.82742i 0.625133 + 0.524549i
\(352\) 6.12338 + 11.4344i 0.326377 + 0.609458i
\(353\) −3.81302 6.60435i −0.202947 0.351514i 0.746530 0.665352i \(-0.231718\pi\)
−0.949477 + 0.313838i \(0.898385\pi\)
\(354\) −3.18181 + 10.8346i −0.169112 + 0.575853i
\(355\) 5.40185 + 14.8415i 0.286700 + 0.787703i
\(356\) −12.1270 15.9374i −0.642729 0.844681i
\(357\) −0.421696 0.0743563i −0.0223185 0.00393535i
\(358\) 1.76047 15.7794i 0.0930437 0.833970i
\(359\) −13.2909 + 11.1524i −0.701466 + 0.588600i −0.922190 0.386736i \(-0.873602\pi\)
0.220724 + 0.975336i \(0.429158\pi\)
\(360\) 1.76307 + 2.03520i 0.0929218 + 0.107264i
\(361\) 16.9087 8.66585i 0.889930 0.456097i
\(362\) −6.15661 25.3825i −0.323584 1.33407i
\(363\) 5.31211 + 6.33073i 0.278814 + 0.332277i
\(364\) 0.356489 + 2.79522i 0.0186851 + 0.146509i
\(365\) −2.57587 0.454196i −0.134827 0.0237737i
\(366\) −4.43262 10.1295i −0.231697 0.529476i
\(367\) 28.8272 10.4923i 1.50477 0.547691i 0.547479 0.836819i \(-0.315587\pi\)
0.957291 + 0.289128i \(0.0933652\pi\)
\(368\) 2.93087 + 6.42053i 0.152782 + 0.334693i
\(369\) −2.21168 3.83074i −0.115135 0.199420i
\(370\) −5.62113 2.78620i −0.292228 0.144847i
\(371\) 4.82818 5.75400i 0.250667 0.298733i
\(372\) 3.11675 4.84887i 0.161596 0.251402i
\(373\) 14.9602 + 8.63726i 0.774608 + 0.447220i 0.834516 0.550984i \(-0.185747\pi\)
−0.0599080 + 0.998204i \(0.519081\pi\)
\(374\) 1.02561 + 1.54168i 0.0530330 + 0.0797184i
\(375\) −2.29224 12.9999i −0.118371 0.671314i
\(376\) −12.4572 20.8129i −0.642432 1.07334i
\(377\) −5.04311 1.83554i −0.259734 0.0945353i
\(378\) 3.35509 + 2.47051i 0.172567 + 0.127070i
\(379\) 34.3174i 1.76276i −0.472404 0.881382i \(-0.656614\pi\)
0.472404 0.881382i \(-0.343386\pi\)
\(380\) 5.84248 + 6.76004i 0.299713 + 0.346783i
\(381\) 10.5460i 0.540286i
\(382\) 5.86692 7.96758i 0.300178 0.407657i
\(383\) −1.79144 0.652029i −0.0915381 0.0333171i 0.295845 0.955236i \(-0.404399\pi\)
−0.387383 + 0.921919i \(0.626621\pi\)
\(384\) 1.29505 16.2305i 0.0660879 0.828257i
\(385\) −0.212636 1.20592i −0.0108369 0.0614592i
\(386\) −21.8031 + 14.5046i −1.10975 + 0.738264i
\(387\) −3.84893 2.22218i −0.195652 0.112960i
\(388\) 16.8908 + 10.8570i 0.857499 + 0.551182i
\(389\) −1.06959 + 1.27469i −0.0542305 + 0.0646294i −0.792478 0.609901i \(-0.791209\pi\)
0.738247 + 0.674530i \(0.235654\pi\)
\(390\) −2.50489 + 5.05359i −0.126840 + 0.255898i
\(391\) 0.503775 + 0.872564i 0.0254770 + 0.0441275i
\(392\) −3.59933 18.6876i −0.181794 0.943866i
\(393\) 12.0958 4.40251i 0.610153 0.222077i
\(394\) −18.4008 + 8.05214i −0.927021 + 0.405661i
\(395\) 7.76262 + 1.36876i 0.390580 + 0.0688697i
\(396\) −0.538892 4.22544i −0.0270803 0.212337i
\(397\) −8.77341 10.4557i −0.440325 0.524759i 0.499547 0.866287i \(-0.333500\pi\)
−0.939872 + 0.341528i \(0.889056\pi\)
\(398\) 28.9493 7.02176i 1.45110 0.351969i
\(399\) 2.62984 + 1.94117i 0.131656 + 0.0971798i
\(400\) 9.16603 12.8674i 0.458301 0.643369i
\(401\) −4.95418 + 4.15705i −0.247400 + 0.207593i −0.758052 0.652194i \(-0.773849\pi\)
0.510652 + 0.859788i \(0.329404\pi\)
\(402\) 14.8767 + 1.65975i 0.741980 + 0.0827807i
\(403\) −5.33280 0.940316i −0.265645 0.0468405i
\(404\) −26.4330 + 20.1132i −1.31509 + 1.00067i
\(405\) 1.87559 + 5.15315i 0.0931990 + 0.256062i
\(406\) −1.40331 0.412112i −0.0696450 0.0204528i
\(407\) 4.96239 + 8.59511i 0.245977 + 0.426044i
\(408\) −0.0365897 2.32407i −0.00181146 0.115059i
\(409\) −22.8766 19.1958i −1.13118 0.949171i −0.132063 0.991241i \(-0.542160\pi\)
−0.999115 + 0.0420708i \(0.986604\pi\)
\(410\) 4.99567 4.76297i 0.246718 0.235226i
\(411\) 18.4668 + 10.6618i 0.910898 + 0.525907i
\(412\) −11.5040 + 12.4529i −0.566764 + 0.613508i
\(413\) 2.84707 0.502015i 0.140095 0.0247026i
\(414\) −0.146910 2.31316i −0.00722022 0.113686i
\(415\) 10.8626 + 3.95368i 0.533226 + 0.194079i
\(416\) −14.5332 + 4.76983i −0.712549 + 0.233860i
\(417\) 16.7782 0.821630
\(418\) −1.77197 14.0231i −0.0866700 0.685893i
\(419\) 23.7588i 1.16069i 0.814369 + 0.580347i \(0.197083\pi\)
−0.814369 + 0.580347i \(0.802917\pi\)
\(420\) −0.593975 + 1.41772i −0.0289830 + 0.0691776i
\(421\) 9.53232 26.1898i 0.464577 1.27641i −0.457432 0.889245i \(-0.651231\pi\)
0.922008 0.387170i \(-0.126547\pi\)
\(422\) −20.6987 + 1.31458i −1.00760 + 0.0639929i
\(423\) 1.38325 + 7.84478i 0.0672557 + 0.381426i
\(424\) 35.6269 + 19.8281i 1.73020 + 0.962937i
\(425\) 1.12765 1.95315i 0.0546990 0.0947415i
\(426\) −22.6998 + 21.6424i −1.09981 + 1.04858i
\(427\) −1.81958 + 2.16849i −0.0880554 + 0.104940i
\(428\) −0.461306 + 2.04166i −0.0222981 + 0.0986872i
\(429\) 7.72730 4.46136i 0.373078 0.215396i
\(430\) 1.95413 6.65413i 0.0942365 0.320891i
\(431\) −11.6667 + 4.24634i −0.561966 + 0.204539i −0.607355 0.794430i \(-0.707769\pi\)
0.0453891 + 0.998969i \(0.485547\pi\)
\(432\) −9.72397 + 20.4197i −0.467845 + 0.982444i
\(433\) −1.27566 + 7.23465i −0.0613045 + 0.347675i 0.938691 + 0.344759i \(0.112039\pi\)
−0.999996 + 0.00291602i \(0.999072\pi\)
\(434\) −1.46663 0.163628i −0.0704005 0.00785440i
\(435\) −1.88178 2.24261i −0.0902242 0.107525i
\(436\) −14.5740 28.2754i −0.697970 1.35415i
\(437\) −0.478612 7.67620i −0.0228951 0.367203i
\(438\) −1.22434 5.04771i −0.0585013 0.241189i
\(439\) −1.68077 + 1.41034i −0.0802189 + 0.0673117i −0.682015 0.731338i \(-0.738896\pi\)
0.601796 + 0.798650i \(0.294452\pi\)
\(440\) 6.20951 2.37143i 0.296027 0.113053i
\(441\) −1.08528 + 6.15492i −0.0516800 + 0.293092i
\(442\) −2.00044 + 0.875383i −0.0951511 + 0.0416377i
\(443\) −5.62655 15.4588i −0.267325 0.734471i −0.998625 0.0524146i \(-0.983308\pi\)
0.731300 0.682056i \(-0.238914\pi\)
\(444\) 0.593825 12.4442i 0.0281817 0.590578i
\(445\) −8.88775 + 5.13135i −0.421320 + 0.243249i
\(446\) −32.6493 16.1831i −1.54599 0.766293i
\(447\) 5.12003 + 4.29621i 0.242169 + 0.203204i
\(448\) −3.87028 + 1.54831i −0.182854 + 0.0731509i
\(449\) 0.788175 1.36516i 0.0371963 0.0644259i −0.846828 0.531867i \(-0.821491\pi\)
0.884024 + 0.467441i \(0.154824\pi\)
\(450\) −4.31967 + 2.87368i −0.203631 + 0.135466i
\(451\) −10.7533 + 1.89610i −0.506354 + 0.0892839i
\(452\) −8.64254 27.8027i −0.406511 1.30773i
\(453\) −5.04215 + 13.8532i −0.236901 + 0.650880i
\(454\) −3.36599 2.47854i −0.157974 0.116324i
\(455\) 1.44402 0.0676968
\(456\) −7.64699 + 16.0105i −0.358103 + 0.749760i
\(457\) −32.2383 −1.50805 −0.754023 0.656848i \(-0.771889\pi\)
−0.754023 + 0.656848i \(0.771889\pi\)
\(458\) 8.78180 + 6.46646i 0.410346 + 0.302158i
\(459\) −1.10428 + 3.03397i −0.0515432 + 0.141614i
\(460\) 3.45379 1.07362i 0.161034 0.0500578i
\(461\) 29.4656 5.19559i 1.37235 0.241983i 0.561617 0.827397i \(-0.310179\pi\)
0.810734 + 0.585415i \(0.199068\pi\)
\(462\) 2.02457 1.34686i 0.0941917 0.0626614i
\(463\) −1.09174 + 1.89094i −0.0507373 + 0.0878796i −0.890279 0.455416i \(-0.849490\pi\)
0.839541 + 0.543296i \(0.182824\pi\)
\(464\) 0.755970 7.90305i 0.0350950 0.366890i
\(465\) −2.26279 1.89871i −0.104934 0.0880505i
\(466\) −23.7448 11.7695i −1.09996 0.545209i
\(467\) 20.3063 11.7238i 0.939662 0.542514i 0.0498075 0.998759i \(-0.484139\pi\)
0.889854 + 0.456245i \(0.150806\pi\)
\(468\) 5.01753 + 0.239431i 0.231935 + 0.0110677i
\(469\) −1.31073 3.60120i −0.0605239 0.166288i
\(470\) −11.3875 + 4.98314i −0.525268 + 0.229855i
\(471\) 3.96203 22.4698i 0.182561 1.03535i
\(472\) 5.59875 + 14.6602i 0.257703 + 0.674789i
\(473\) −8.40432 + 7.05206i −0.386431 + 0.324254i
\(474\) 3.68966 + 15.2117i 0.169472 + 0.698698i
\(475\) −14.3447 + 9.51900i −0.658182 + 0.436762i
\(476\) −0.528949 + 0.272637i −0.0242443 + 0.0124963i
\(477\) −8.60692 10.2573i −0.394084 0.469651i
\(478\) −32.2626 3.59945i −1.47566 0.164635i
\(479\) 1.59361 9.03783i 0.0728141 0.412949i −0.926513 0.376263i \(-0.877209\pi\)
0.999327 0.0366859i \(-0.0116801\pi\)
\(480\) −8.16656 1.71055i −0.372751 0.0780756i
\(481\) −10.9980 + 4.00296i −0.501467 + 0.182519i
\(482\) 10.7011 36.4392i 0.487424 1.65976i
\(483\) 1.14587 0.661570i 0.0521390 0.0301025i
\(484\) 11.2025 + 2.53116i 0.509203 + 0.115053i
\(485\) 6.61404 7.88231i 0.300328 0.357917i
\(486\) 9.48049 9.03888i 0.430044 0.410012i
\(487\) −5.49964 + 9.52566i −0.249213 + 0.431649i −0.963308 0.268400i \(-0.913505\pi\)
0.714095 + 0.700049i \(0.246838\pi\)
\(488\) −13.4266 7.47252i −0.607792 0.338265i
\(489\) 4.44506 + 25.2092i 0.201013 + 1.14000i
\(490\) −9.73291 + 0.618140i −0.439688 + 0.0279247i
\(491\) −11.2696 + 30.9629i −0.508588 + 1.39734i 0.374105 + 0.927386i \(0.377950\pi\)
−0.882694 + 0.469949i \(0.844272\pi\)
\(492\) 12.6420 + 5.29656i 0.569945 + 0.238787i
\(493\) 1.13336i 0.0510438i
\(494\) 16.6485 + 0.813729i 0.749050 + 0.0366114i
\(495\) −2.18288 −0.0981131
\(496\) −0.633515 7.98547i −0.0284456 0.358558i
\(497\) 7.54540 + 2.74630i 0.338457 + 0.123188i
\(498\) 1.45497 + 22.9093i 0.0651990 + 1.02659i
\(499\) −1.86140 + 0.328214i −0.0833275 + 0.0146929i −0.215156 0.976580i \(-0.569026\pi\)
0.131829 + 0.991272i \(0.457915\pi\)
\(500\) −13.4750 12.4483i −0.602620 0.556706i
\(501\) 5.03036 + 2.90428i 0.224740 + 0.129754i
\(502\) 4.32367 4.12227i 0.192975 0.183986i
\(503\) 25.4259 + 21.3349i 1.13368 + 0.951275i 0.999214 0.0396430i \(-0.0126221\pi\)
0.134471 + 0.990918i \(0.457067\pi\)
\(504\) 1.36878 0.0215498i 0.0609703 0.000959903i
\(505\) 8.51058 + 14.7408i 0.378716 + 0.655955i
\(506\) −5.48980 1.61220i −0.244051 0.0716709i
\(507\) −2.80001 7.69297i −0.124353 0.341657i
\(508\) −8.87479 11.6633i −0.393755 0.517477i
\(509\) 6.23355 + 1.09914i 0.276297 + 0.0487186i 0.310080 0.950711i \(-0.399644\pi\)
−0.0337826 + 0.999429i \(0.510755\pi\)
\(510\) −1.18378 0.132071i −0.0524187 0.00584821i
\(511\) −1.01867 + 0.854764i −0.0450632 + 0.0378125i
\(512\) −12.2262 19.0399i −0.540327 0.841455i
\(513\) 17.8576 16.9864i 0.788431 0.749967i
\(514\) −23.2919 + 5.64954i −1.02736 + 0.249191i
\(515\) 5.58441 + 6.65524i 0.246079 + 0.293265i
\(516\) 13.6611 1.74227i 0.601398 0.0766993i
\(517\) 19.3651 + 3.41459i 0.851676 + 0.150174i
\(518\) −2.92205 + 1.27868i −0.128387 + 0.0561818i
\(519\) 9.56021 3.47963i 0.419647 0.152739i
\(520\) 1.48248 + 7.69697i 0.0650110 + 0.337534i
\(521\) 7.14192 + 12.3702i 0.312893 + 0.541947i 0.978987 0.203921i \(-0.0653685\pi\)
−0.666094 + 0.745868i \(0.732035\pi\)
\(522\) −1.15788 + 2.33602i −0.0506792 + 0.102245i
\(523\) −8.75521 + 10.4341i −0.382839 + 0.456249i −0.922708 0.385500i \(-0.874029\pi\)
0.539870 + 0.841749i \(0.318474\pi\)
\(524\) 9.67252 15.0480i 0.422546 0.657375i
\(525\) −2.56492 1.48086i −0.111942 0.0646299i
\(526\) 7.09993 4.72326i 0.309572 0.205944i
\(527\) −0.198576 1.12618i −0.00865012 0.0490573i
\(528\) 9.25754 + 9.40872i 0.402883 + 0.409462i
\(529\) 18.6874 + 6.80164i 0.812494 + 0.295724i
\(530\) 12.3890 16.8250i 0.538145 0.730830i
\(531\) 5.15360i 0.223647i
\(532\) 4.54203 0.0662587i 0.196922 0.00287268i
\(533\) 12.8765i 0.557745i
\(534\) −16.4106 12.0839i −0.710157 0.522923i
\(535\) 1.00794 + 0.366860i 0.0435770 + 0.0158607i
\(536\) 17.8496 10.6836i 0.770985 0.461461i
\(537\) −2.80567 15.9118i −0.121074 0.686644i
\(538\) 8.18149 + 12.2983i 0.352729 + 0.530217i
\(539\) 13.3611 + 7.71401i 0.575502 + 0.332266i
\(540\) 9.74965 + 6.26686i 0.419558 + 0.269683i
\(541\) 18.7508 22.3464i 0.806160 0.960745i −0.193633 0.981074i \(-0.562027\pi\)
0.999793 + 0.0203294i \(0.00647150\pi\)
\(542\) 1.20874 + 0.599132i 0.0519200 + 0.0257349i
\(543\) −13.2894 23.0180i −0.570305 0.987797i
\(544\) −1.99625 2.53952i −0.0855886 0.108881i
\(545\) −15.3182 + 5.57539i −0.656162 + 0.238823i
\(546\) 1.14957 + 2.62702i 0.0491972 + 0.112426i
\(547\) −13.8395 2.44028i −0.591734 0.104339i −0.130241 0.991482i \(-0.541575\pi\)
−0.461493 + 0.887144i \(0.652686\pi\)
\(548\) 29.3956 3.74897i 1.25572 0.160148i
\(549\) 3.24365 + 3.86563i 0.138436 + 0.164981i
\(550\) 3.01892 + 12.4464i 0.128727 + 0.530716i
\(551\) −3.85110 + 7.74705i −0.164062 + 0.330035i
\(552\) 4.70271 + 5.42857i 0.200161 + 0.231055i
\(553\) 3.06984 2.57590i 0.130543 0.109539i
\(554\) −2.50347 + 22.4391i −0.106362 + 0.953345i
\(555\) −6.28735 1.10863i −0.266883 0.0470587i
\(556\) 18.5558 14.1194i 0.786943 0.598795i
\(557\) 4.34662 + 11.9422i 0.184172 + 0.506009i 0.997078 0.0763859i \(-0.0243381\pi\)
−0.812906 + 0.582395i \(0.802116\pi\)
\(558\) −0.741258 + 2.52411i −0.0313799 + 0.106854i
\(559\) −6.46885 11.2044i −0.273603 0.473894i
\(560\) 0.536149 + 2.06778i 0.0226564 + 0.0873796i
\(561\) 1.44346 + 1.21121i 0.0609430 + 0.0511372i
\(562\) 13.5103 + 14.1703i 0.569896 + 0.597739i
\(563\) −0.548875 0.316893i −0.0231323 0.0133554i 0.488389 0.872626i \(-0.337585\pi\)
−0.511522 + 0.859270i \(0.670918\pi\)
\(564\) −18.1310 16.7496i −0.763455 0.705286i
\(565\) −14.6934 + 2.59084i −0.618156 + 0.108998i
\(566\) −7.31800 + 0.464768i −0.307598 + 0.0195357i
\(567\) 2.61986 + 0.953551i 0.110024 + 0.0400454i
\(568\) −6.89207 + 43.0381i −0.289185 + 1.80584i
\(569\) 27.2931 1.14419 0.572093 0.820188i \(-0.306131\pi\)
0.572093 + 0.820188i \(0.306131\pi\)
\(570\) 7.64294 + 4.92520i 0.320128 + 0.206294i
\(571\) 16.1535i 0.676004i 0.941145 + 0.338002i \(0.109751\pi\)
−0.941145 + 0.338002i \(0.890249\pi\)
\(572\) 4.79164 11.4368i 0.200349 0.478198i
\(573\) 3.44381 9.46178i 0.143867 0.395272i
\(574\) −0.222420 3.50210i −0.00928362 0.146175i
\(575\) 1.21013 + 6.86299i 0.0504659 + 0.286206i
\(576\) 1.52010 + 7.27379i 0.0633374 + 0.303075i
\(577\) 16.0143 27.7376i 0.666686 1.15473i −0.312140 0.950036i \(-0.601046\pi\)
0.978825 0.204697i \(-0.0656209\pi\)
\(578\) 16.2717 + 17.0667i 0.676814 + 0.709880i
\(579\) −17.1294 + 20.4140i −0.711873 + 0.848377i
\(580\) −3.96839 0.896645i −0.164778 0.0372312i
\(581\) 5.08963 2.93850i 0.211153 0.121909i
\(582\) 19.6052 + 5.75749i 0.812662 + 0.238656i
\(583\) −31.0603 + 11.3050i −1.28639 + 0.468206i
\(584\) −5.60188 4.55221i −0.231808 0.188372i
\(585\) 0.447000 2.53507i 0.0184812 0.104812i
\(586\) −4.52269 + 40.5378i −0.186831 + 1.67460i
\(587\) −11.0964 13.2242i −0.457998 0.545821i 0.486783 0.873523i \(-0.338170\pi\)
−0.944781 + 0.327702i \(0.893726\pi\)
\(588\) −8.87284 17.2144i −0.365910 0.709910i
\(589\) −2.46935 + 8.37276i −0.101748 + 0.344993i
\(590\) 7.81525 1.89562i 0.321749 0.0780413i
\(591\) −15.6576 + 13.1383i −0.644069 + 0.540438i
\(592\) −9.81551 14.2625i −0.403415 0.586184i
\(593\) −3.99964 + 22.6831i −0.164246 + 0.931484i 0.785593 + 0.618743i \(0.212358\pi\)
−0.949839 + 0.312740i \(0.898753\pi\)
\(594\) −7.35033 16.7971i −0.301588 0.689192i
\(595\) 0.104299 + 0.286559i 0.00427583 + 0.0117478i
\(596\) 9.27791 + 0.442731i 0.380038 + 0.0181350i
\(597\) 26.2526 15.1569i 1.07445 0.620332i
\(598\) 2.99649 6.04538i 0.122535 0.247214i
\(599\) −8.08576 6.78475i −0.330375 0.277218i 0.462478 0.886631i \(-0.346961\pi\)
−0.792853 + 0.609413i \(0.791405\pi\)
\(600\) 5.26008 15.1919i 0.214742 0.620207i
\(601\) 1.64176 2.84362i 0.0669689 0.115994i −0.830597 0.556874i \(-0.812001\pi\)
0.897566 + 0.440881i \(0.145334\pi\)
\(602\) −1.95290 2.93557i −0.0795943 0.119645i
\(603\) −6.72786 + 1.18630i −0.273980 + 0.0483100i
\(604\) 6.08155 + 19.5641i 0.247455 + 0.796052i
\(605\) 2.01294 5.53051i 0.0818377 0.224847i
\(606\) −20.0418 + 27.2178i −0.814141 + 1.10565i
\(607\) −37.4640 −1.52062 −0.760308 0.649563i \(-0.774952\pi\)
−0.760308 + 0.649563i \(0.774952\pi\)
\(608\) 5.01616 + 24.1420i 0.203432 + 0.979089i
\(609\) −1.48835 −0.0603111
\(610\) −4.66900 + 6.34075i −0.189042 + 0.256729i
\(611\) −7.93101 + 21.7903i −0.320854 + 0.881540i
\(612\) 0.314892 + 1.01300i 0.0127288 + 0.0409479i
\(613\) −20.5999 + 3.63232i −0.832021 + 0.146708i −0.573405 0.819272i \(-0.694378\pi\)
−0.258617 + 0.965980i \(0.583267\pi\)
\(614\) −19.6584 29.5503i −0.793350 1.19255i
\(615\) 3.51202 6.08299i 0.141618 0.245290i
\(616\) 1.10566 3.19330i 0.0445482 0.128662i
\(617\) −6.28386 5.27279i −0.252979 0.212274i 0.507475 0.861666i \(-0.330579\pi\)
−0.760454 + 0.649392i \(0.775023\pi\)
\(618\) −7.66178 + 15.4576i −0.308202 + 0.621794i
\(619\) 20.8321 12.0274i 0.837312 0.483423i −0.0190374 0.999819i \(-0.506060\pi\)
0.856350 + 0.516396i \(0.172727\pi\)
\(620\) −4.10037 0.195665i −0.164675 0.00785808i
\(621\) −3.41221 9.37496i −0.136927 0.376204i
\(622\) 18.6832 + 42.6951i 0.749127 + 1.71192i
\(623\) −0.906018 + 5.13828i −0.0362989 + 0.205861i
\(624\) −12.8224 + 8.82448i −0.513309 + 0.353262i
\(625\) 7.92621 6.65088i 0.317049 0.266035i
\(626\) −7.68776 + 1.86469i −0.307265 + 0.0745281i
\(627\) −5.75112 13.1840i −0.229678 0.526518i
\(628\) −14.5273 28.1847i −0.579701 1.12469i
\(629\) −1.58873 1.89338i −0.0633469 0.0754938i
\(630\) 0.0777843 0.697196i 0.00309900 0.0277770i
\(631\) 6.83149 38.7433i 0.271957 1.54235i −0.476506 0.879171i \(-0.658097\pi\)
0.748463 0.663176i \(-0.230792\pi\)
\(632\) 16.8818 + 13.7185i 0.671520 + 0.545691i
\(633\) −19.8332 + 7.21869i −0.788298 + 0.286917i
\(634\) 33.2109 + 9.75309i 1.31897 + 0.387345i
\(635\) −6.50425 + 3.75523i −0.258113 + 0.149022i
\(636\) 40.4715 + 9.14440i 1.60480 + 0.362599i
\(637\) −11.6946 + 13.9371i −0.463358 + 0.552208i
\(638\) 4.44119 + 4.65818i 0.175829 + 0.184419i
\(639\) 7.15699 12.3963i 0.283126 0.490389i
\(640\) −10.4713 + 4.98065i −0.413915 + 0.196877i
\(641\) 3.70710 + 21.0240i 0.146422 + 0.830399i 0.966215 + 0.257739i \(0.0829774\pi\)
−0.819793 + 0.572660i \(0.805911\pi\)
\(642\) 0.135006 + 2.12574i 0.00532827 + 0.0838962i
\(643\) −9.72280 + 26.7132i −0.383430 + 1.05346i 0.586472 + 0.809969i \(0.300516\pi\)
−0.969902 + 0.243496i \(0.921706\pi\)
\(644\) 0.710547 1.69595i 0.0279995 0.0668300i
\(645\) 7.05739i 0.277884i
\(646\) 1.04100 + 3.36258i 0.0409578 + 0.132299i
\(647\) −6.57050 −0.258313 −0.129157 0.991624i \(-0.541227\pi\)
−0.129157 + 0.991624i \(0.541227\pi\)
\(648\) −2.39302 + 14.9434i −0.0940066 + 0.587033i
\(649\) −11.9546 4.35113i −0.469260 0.170797i
\(650\) −15.0727 + 0.957272i −0.591200 + 0.0375473i
\(651\) −1.47893 + 0.260775i −0.0579638 + 0.0102206i
\(652\) 26.1304 + 24.1395i 1.02335 + 0.945375i
\(653\) 12.7918 + 7.38536i 0.500583 + 0.289011i 0.728954 0.684563i \(-0.240007\pi\)
−0.228372 + 0.973574i \(0.573340\pi\)
\(654\) −22.3377 23.4290i −0.873473 0.916148i
\(655\) −7.02236 5.89246i −0.274386 0.230237i
\(656\) 18.4387 4.78092i 0.719909 0.186663i
\(657\) 1.18526 + 2.05293i 0.0462413 + 0.0800923i
\(658\) −1.78065 + 6.06341i −0.0694169 + 0.236376i
\(659\) −11.5646 31.7734i −0.450492 1.23772i −0.932379 0.361483i \(-0.882271\pi\)
0.481887 0.876233i \(-0.339952\pi\)
\(660\) 5.38296 4.09596i 0.209531 0.159435i
\(661\) 6.87804 + 1.21278i 0.267525 + 0.0471718i 0.305801 0.952095i \(-0.401076\pi\)
−0.0382767 + 0.999267i \(0.512187\pi\)
\(662\) −2.89743 + 25.9703i −0.112612 + 1.00936i
\(663\) −1.70221 + 1.42832i −0.0661084 + 0.0554715i
\(664\) 20.8880 + 24.1121i 0.810613 + 0.935732i
\(665\) 0.260781 2.31317i 0.0101126 0.0897009i
\(666\) 1.34027 + 5.52565i 0.0519342 + 0.214114i
\(667\) 2.25109 + 2.68274i 0.0871624 + 0.103876i
\(668\) 8.00738 1.02122i 0.309815 0.0395123i
\(669\) −36.5190 6.43928i −1.41190 0.248957i
\(670\) −4.27365 9.76621i −0.165106 0.377302i
\(671\) 11.7055 4.26047i 0.451888 0.164474i
\(672\) −3.33496 + 2.62153i −0.128649 + 0.101128i
\(673\) 3.28033 + 5.68170i 0.126448 + 0.219014i 0.922298 0.386480i \(-0.126309\pi\)
−0.795850 + 0.605493i \(0.792976\pi\)
\(674\) 18.3365 + 9.08878i 0.706297 + 0.350087i
\(675\) −14.3545 + 17.1070i −0.552505 + 0.658450i
\(676\) −9.57058 6.15176i −0.368099 0.236606i
\(677\) 20.5163 + 11.8451i 0.788504 + 0.455243i 0.839435 0.543459i \(-0.182886\pi\)
−0.0509319 + 0.998702i \(0.516219\pi\)
\(678\) −16.4107 24.6683i −0.630248 0.947380i
\(679\) −0.908396 5.15177i −0.0348610 0.197707i
\(680\) −1.42035 + 0.850127i −0.0544678 + 0.0326009i
\(681\) −3.99723 1.45487i −0.153174 0.0557508i
\(682\) 5.22924 + 3.85054i 0.200238 + 0.147445i
\(683\) 29.5400i 1.13032i 0.824982 + 0.565159i \(0.191185\pi\)
−0.824982 + 0.565159i \(0.808815\pi\)
\(684\) 1.28967 7.99431i 0.0493120 0.305670i
\(685\) 15.1859i 0.580223i
\(686\) −5.99845 + 8.14621i −0.229022 + 0.311024i
\(687\) 10.4287 + 3.79573i 0.397879 + 0.144816i
\(688\) 13.6424 13.4232i 0.520111 0.511754i
\(689\) −6.76858 38.3865i −0.257863 1.46241i
\(690\) 3.06442 2.03861i 0.116660 0.0776087i
\(691\) 14.0655 + 8.12071i 0.535076 + 0.308926i 0.743081 0.669201i \(-0.233364\pi\)
−0.208005 + 0.978128i \(0.566697\pi\)
\(692\) 7.64491 11.8935i 0.290616 0.452125i
\(693\) −0.713350 + 0.850137i −0.0270979 + 0.0322940i
\(694\) 11.6464 23.4964i 0.442090 0.891913i
\(695\) −5.97439 10.3480i −0.226622 0.392520i
\(696\) −1.52799 7.93326i −0.0579183 0.300709i
\(697\) 2.55528 0.930047i 0.0967882 0.0352280i
\(698\) 19.7744 8.65318i 0.748470 0.327528i
\(699\) −26.5590 4.68307i −1.00455 0.177130i
\(700\) −4.08287 + 0.520709i −0.154318 + 0.0196809i
\(701\) −11.4422 13.6363i −0.432167 0.515037i 0.505379 0.862897i \(-0.331353\pi\)
−0.937546 + 0.347861i \(0.886908\pi\)
\(702\) 21.0123 5.09661i 0.793058 0.192359i
\(703\) 4.42614 + 18.3406i 0.166935 + 0.691728i
\(704\) 18.1562 + 2.61506i 0.684286 + 0.0985589i
\(705\) −9.68987 + 8.13076i −0.364941 + 0.306222i
\(706\) −10.7184 1.19582i −0.403391 0.0450052i
\(707\) 8.52209 + 1.50267i 0.320506 + 0.0565139i
\(708\) 9.67024 + 12.7087i 0.363430 + 0.477623i
\(709\) 9.47172 + 26.0233i 0.355718 + 0.977327i 0.980499 + 0.196526i \(0.0629661\pi\)
−0.624781 + 0.780800i \(0.714812\pi\)
\(710\) 21.4310 + 6.29367i 0.804291 + 0.236197i
\(711\) −3.57187 6.18667i −0.133956 0.232018i
\(712\) −28.3184 + 0.445839i −1.06128 + 0.0167085i
\(713\) 2.70688 + 2.27134i 0.101373 + 0.0850624i
\(714\) −0.438287 + 0.417871i −0.0164025 + 0.0156384i
\(715\) −5.50310 3.17722i −0.205804 0.118821i
\(716\) −16.4932 15.2366i −0.616381 0.569418i
\(717\) −32.5331 + 5.73647i −1.21497 + 0.214232i
\(718\) 1.55520 + 24.4873i 0.0580394 + 0.913857i
\(719\) 18.6020 + 6.77058i 0.693738 + 0.252500i 0.664735 0.747079i \(-0.268545\pi\)
0.0290030 + 0.999579i \(0.490767\pi\)
\(720\) 3.79607 0.301156i 0.141471 0.0112234i
\(721\) 4.41688 0.164493
\(722\) 4.31011 26.5221i 0.160406 0.987051i
\(723\) 38.6475i 1.43732i
\(724\) −34.0679 14.2733i −1.26612 0.530463i
\(725\) 2.68110 7.36627i 0.0995737 0.273577i
\(726\) 11.6638 0.740773i 0.432885 0.0274927i
\(727\) 1.52884 + 8.67049i 0.0567016 + 0.321571i 0.999945 0.0105328i \(-0.00335277\pi\)
−0.943243 + 0.332104i \(0.892242\pi\)
\(728\) 3.48210 + 1.93796i 0.129055 + 0.0718254i
\(729\) 14.6908 25.4452i 0.544104 0.942416i
\(730\) −2.67722 + 2.55251i −0.0990884 + 0.0944728i
\(731\) 1.75622 2.09298i 0.0649560 0.0774116i
\(732\) −15.2523 3.44621i −0.563741 0.127376i
\(733\) −28.2903 + 16.3334i −1.04493 + 0.603288i −0.921225 0.389031i \(-0.872810\pi\)
−0.123701 + 0.992319i \(0.539477\pi\)
\(734\) 12.2245 41.6264i 0.451214 1.53646i
\(735\) −9.32592 + 3.39436i −0.343992 + 0.125203i
\(736\) 9.76930 + 2.04626i 0.360101 + 0.0754261i
\(737\) −2.92843 + 16.6080i −0.107870 + 0.611762i
\(738\) −6.21700 0.693613i −0.228851 0.0255323i
\(739\) 0.539151 + 0.642535i 0.0198330 + 0.0236360i 0.775870 0.630893i \(-0.217311\pi\)
−0.756037 + 0.654529i \(0.772867\pi\)
\(740\) −7.88646 + 4.06493i −0.289912 + 0.149430i
\(741\) 16.4888 3.97925i 0.605732 0.146181i
\(742\) −2.50395 10.3233i −0.0919228 0.378979i
\(743\) 29.4767 24.7339i 1.08139 0.907397i 0.0853579 0.996350i \(-0.472797\pi\)
0.996036 + 0.0889533i \(0.0283522\pi\)
\(744\) −2.90831 7.61532i −0.106624 0.279191i
\(745\) 0.826548 4.68759i 0.0302824 0.171740i
\(746\) 22.3808 9.79375i 0.819419 0.358575i
\(747\) −3.58320 9.84476i −0.131102 0.360201i
\(748\) 2.61567 + 0.124817i 0.0956384 + 0.00456375i
\(749\) 0.472264 0.272662i 0.0172561 0.00996284i
\(750\) −16.7263 8.29066i −0.610760 0.302732i
\(751\) 35.5432 + 29.8243i 1.29699 + 1.08830i 0.990657 + 0.136380i \(0.0435468\pi\)
0.306334 + 0.951924i \(0.400898\pi\)
\(752\) −34.1474 3.26639i −1.24523 0.119113i
\(753\) 3.03959 5.26473i 0.110769 0.191857i
\(754\) −6.31918 + 4.20386i −0.230131 + 0.153095i
\(755\) 10.3394 1.82311i 0.376289 0.0663499i
\(756\) 5.62679 1.74910i 0.204644 0.0636142i
\(757\) −5.97797 + 16.4244i −0.217273 + 0.596953i −0.999666 0.0258317i \(-0.991777\pi\)
0.782393 + 0.622785i \(0.213999\pi\)
\(758\) −39.0803 28.7767i −1.41946 1.04522i
\(759\) −5.82249 −0.211343
\(760\) 12.5975 0.984751i 0.456958 0.0357207i
\(761\) 14.4597 0.524164 0.262082 0.965046i \(-0.415591\pi\)
0.262082 + 0.965046i \(0.415591\pi\)
\(762\) −12.0096 8.84328i −0.435063 0.320358i
\(763\) −2.83453 + 7.78779i −0.102617 + 0.281937i
\(764\) −4.15372 13.3624i −0.150276 0.483433i
\(765\) 0.535356 0.0943978i 0.0193559 0.00341296i
\(766\) −2.24472 + 1.49331i −0.0811052 + 0.0539555i
\(767\) 7.50116 12.9924i 0.270851 0.469128i
\(768\) −17.3971 15.0848i −0.627764 0.544325i
\(769\) −21.6276 18.1477i −0.779911 0.654423i 0.163315 0.986574i \(-0.447781\pi\)
−0.943226 + 0.332151i \(0.892226\pi\)
\(770\) −1.55159 0.769068i −0.0559154 0.0277153i
\(771\) −21.1222 + 12.1949i −0.760697 + 0.439189i
\(772\) −1.76521 + 36.9919i −0.0635312 + 1.33137i
\(773\) −12.5407 34.4554i −0.451059 1.23928i −0.931980 0.362511i \(-0.881920\pi\)
0.480920 0.876764i \(-0.340303\pi\)
\(774\) −5.75810 + 2.51972i −0.206971 + 0.0905695i
\(775\) 1.37348 7.78940i 0.0493369 0.279803i
\(776\) 26.5275 10.1309i 0.952283 0.363679i
\(777\) −2.48643 + 2.08636i −0.0892001 + 0.0748477i
\(778\) 0.554702 + 2.28693i 0.0198870 + 0.0819903i
\(779\) −20.6269 2.32542i −0.739034 0.0833167i
\(780\) 3.65451 + 7.09020i 0.130852 + 0.253870i
\(781\) −22.7126 27.0678i −0.812721 0.968563i
\(782\) 1.41610 + 0.157991i 0.0506398 + 0.00564974i
\(783\) −1.94874 + 11.0519i −0.0696423 + 0.394961i
\(784\) −24.2994 11.5715i −0.867837 0.413268i
\(785\) −15.2691 + 5.55749i −0.544977 + 0.198355i
\(786\) 5.12935 17.4663i 0.182958 0.623002i
\(787\) 14.0813 8.12982i 0.501943 0.289797i −0.227573 0.973761i \(-0.573079\pi\)
0.729516 + 0.683964i \(0.239746\pi\)
\(788\) −6.26026 + 27.7068i −0.223013 + 0.987013i
\(789\) 5.57800 6.64760i 0.198582 0.236661i
\(790\) 8.06804 7.69222i 0.287048 0.273677i
\(791\) −3.79268 + 6.56912i −0.134852 + 0.233571i
\(792\) −5.26378 2.92954i −0.187040 0.104097i
\(793\) 2.55085 + 14.4666i 0.0905832 + 0.513723i
\(794\) −19.2638 + 1.22345i −0.683647 + 0.0434186i
\(795\) 7.27221 19.9802i 0.257919 0.708626i
\(796\) 16.2790 38.8553i 0.576995 1.37719i
\(797\) 32.4295i 1.14871i 0.818605 + 0.574357i \(0.194748\pi\)
−0.818605 + 0.574357i \(0.805252\pi\)
\(798\) 4.41582 1.36707i 0.156318 0.0483939i
\(799\) −4.89700 −0.173244
\(800\) −6.96710 21.2281i −0.246324 0.750525i
\(801\) 8.74010 + 3.18114i 0.308816 + 0.112400i
\(802\) 0.579700 + 9.12764i 0.0204699 + 0.322308i
\(803\) 5.76280 1.01614i 0.203365 0.0358587i
\(804\) 14.3649 15.5496i 0.506609 0.548392i
\(805\) −0.816048 0.471146i −0.0287619 0.0166057i
\(806\) −5.54261 + 5.28443i −0.195230 + 0.186136i
\(807\) 11.5148 + 9.66204i 0.405339 + 0.340120i
\(808\) 0.739445 + 46.9674i 0.0260136 + 1.65231i
\(809\) −9.65310 16.7197i −0.339385 0.587832i 0.644932 0.764240i \(-0.276886\pi\)
−0.984317 + 0.176408i \(0.943552\pi\)
\(810\) 7.44112 + 2.18525i 0.261454 + 0.0767817i
\(811\) −3.22472 8.85984i −0.113235 0.311111i 0.870110 0.492857i \(-0.164047\pi\)
−0.983346 + 0.181746i \(0.941825\pi\)
\(812\) −1.64605 + 1.25250i −0.0577649 + 0.0439541i
\(813\) 1.35201 + 0.238395i 0.0474169 + 0.00836088i
\(814\) 13.9492 + 1.55628i 0.488920 + 0.0545474i
\(815\) 13.9650 11.7180i 0.489173 0.410465i
\(816\) −2.67731 1.90717i −0.0937246 0.0667644i
\(817\) −19.1164 + 8.33897i −0.668800 + 0.291744i
\(818\) −41.0431 + 9.95514i −1.43504 + 0.348073i
\(819\) −0.841222 1.00253i −0.0293947 0.0350312i
\(820\) −1.23492 9.68298i −0.0431252 0.338144i
\(821\) 38.2508 + 6.74464i 1.33496 + 0.235390i 0.795158 0.606402i \(-0.207388\pi\)
0.539802 + 0.841792i \(0.318499\pi\)
\(822\) 27.6268 12.0894i 0.963594 0.421665i
\(823\) 23.2824 8.47409i 0.811572 0.295388i 0.0972989 0.995255i \(-0.468980\pi\)
0.714273 + 0.699867i \(0.246757\pi\)
\(824\) 4.53450 + 23.5430i 0.157967 + 0.820158i
\(825\) 6.51653 + 11.2870i 0.226876 + 0.392961i
\(826\) 1.81571 3.66318i 0.0631766 0.127458i
\(827\) 24.1355 28.7636i 0.839274 1.00021i −0.160639 0.987013i \(-0.551356\pi\)
0.999913 0.0131942i \(-0.00419996\pi\)
\(828\) −2.75740 1.77239i −0.0958262 0.0615949i
\(829\) −36.9997 21.3618i −1.28505 0.741925i −0.307285 0.951618i \(-0.599421\pi\)
−0.977767 + 0.209692i \(0.932754\pi\)
\(830\) 13.6112 9.05493i 0.472453 0.314301i
\(831\) 3.98979 + 22.6272i 0.138404 + 0.784930i
\(832\) −6.75492 + 20.5500i −0.234185 + 0.712442i
\(833\) −3.61042 1.31409i −0.125094 0.0455304i
\(834\) 14.0692 19.1068i 0.487178 0.661614i
\(835\) 4.13664i 0.143154i
\(836\) −17.4553 9.74112i −0.603703 0.336904i
\(837\) 11.3233i 0.391391i
\(838\) 27.0563 + 19.9229i 0.934644 + 0.688224i
\(839\) −7.05452 2.56763i −0.243549 0.0886446i 0.217362 0.976091i \(-0.430255\pi\)
−0.460911 + 0.887447i \(0.652477\pi\)
\(840\) 1.11641 + 1.86523i 0.0385197 + 0.0643567i
\(841\) 4.35174 + 24.6799i 0.150060 + 0.851032i
\(842\) −21.8314 32.8167i −0.752361 1.13094i
\(843\) 17.2545 + 9.96192i 0.594278 + 0.343107i
\(844\) −15.8598 + 24.6738i −0.545916 + 0.849308i
\(845\) −3.74762 + 4.46624i −0.128922 + 0.153643i
\(846\) 10.0935 + 5.00298i 0.347021 + 0.172006i
\(847\) −1.49608 2.59129i −0.0514059 0.0890377i
\(848\) 52.4548 23.9448i 1.80131 0.822269i
\(849\) −7.01199 + 2.55215i −0.240651 + 0.0875897i
\(850\) −1.27864 2.92196i −0.0438569 0.100222i
\(851\) 7.52129 + 1.32621i 0.257826 + 0.0454617i
\(852\) 5.61135 + 43.9985i 0.192242 + 1.50736i
\(853\) 35.9943 + 42.8963i 1.23242 + 1.46874i 0.834209 + 0.551449i \(0.185925\pi\)
0.398212 + 0.917293i \(0.369631\pi\)
\(854\) 0.943652 + 3.89049i 0.0322911 + 0.133130i
\(855\) −3.98018 1.17386i −0.136119 0.0401453i
\(856\) 1.93819 + 2.23735i 0.0662460 + 0.0764711i
\(857\) 20.3657 17.0889i 0.695679 0.583744i −0.224861 0.974391i \(-0.572193\pi\)
0.920541 + 0.390647i \(0.127749\pi\)
\(858\) 1.39915 12.5408i 0.0477660 0.428137i
\(859\) 41.6574 + 7.34532i 1.42133 + 0.250619i 0.830879 0.556454i \(-0.187838\pi\)
0.590452 + 0.807073i \(0.298949\pi\)
\(860\) −5.93903 7.80514i −0.202519 0.266153i
\(861\) −1.22136 3.35566i −0.0416238 0.114361i
\(862\) −4.94739 + 16.8467i −0.168509 + 0.573800i
\(863\) 5.94784 + 10.3020i 0.202467 + 0.350683i 0.949323 0.314303i \(-0.101771\pi\)
−0.746856 + 0.664986i \(0.768438\pi\)
\(864\) 15.0998 + 28.1964i 0.513704 + 0.959261i
\(865\) −5.55028 4.65724i −0.188715 0.158351i
\(866\) 7.16904 + 7.51929i 0.243614 + 0.255516i
\(867\) 20.7813 + 11.9981i 0.705770 + 0.407476i
\(868\) −1.41617 + 1.53297i −0.0480681 + 0.0520325i
\(869\) −17.3667 + 3.06221i −0.589124 + 0.103879i
\(870\) −4.13182 + 0.262413i −0.140082 + 0.00889664i
\(871\) −18.6878 6.80181i −0.633213 0.230471i
\(872\) −44.4208 7.11348i −1.50428 0.240893i
\(873\) −9.32543 −0.315618
\(874\) −9.14292 5.89181i −0.309264 0.199293i
\(875\) 4.77942i 0.161574i
\(876\) −6.77495 2.83847i −0.228904 0.0959031i
\(877\) −5.70032 + 15.6615i −0.192486 + 0.528851i −0.997964 0.0637741i \(-0.979686\pi\)
0.805478 + 0.592625i \(0.201909\pi\)
\(878\) 0.196671 + 3.09668i 0.00663732 + 0.104508i
\(879\) 7.20785 + 40.8777i 0.243115 + 1.37877i
\(880\) 2.50640 9.05988i 0.0844908 0.305408i
\(881\) 8.75354 15.1616i 0.294914 0.510807i −0.680051 0.733165i \(-0.738042\pi\)
0.974965 + 0.222358i \(0.0713755\pi\)
\(882\) 6.09911 + 6.39709i 0.205368 + 0.215401i
\(883\) 32.2895 38.4812i 1.08663 1.29499i 0.133959 0.990987i \(-0.457231\pi\)
0.952670 0.304007i \(-0.0983247\pi\)
\(884\) −0.680580 + 3.01212i −0.0228904 + 0.101309i
\(885\) 7.08722 4.09181i 0.238234 0.137545i
\(886\) −22.3225 6.55547i −0.749938 0.220235i
\(887\) −42.6746 + 15.5323i −1.43287 + 0.521523i −0.937753 0.347302i \(-0.887098\pi\)
−0.495119 + 0.868825i \(0.664876\pi\)
\(888\) −13.6734 11.1113i −0.458850 0.372871i
\(889\) −0.663044 + 3.76031i −0.0222378 + 0.126117i
\(890\) −1.60926 + 14.4241i −0.0539426 + 0.483498i
\(891\) −7.88611 9.39831i −0.264195 0.314855i
\(892\) −45.8071 + 23.6104i −1.53374 + 0.790535i
\(893\) 33.4734 + 16.6398i 1.12014 + 0.556830i
\(894\) 9.18585 2.22806i 0.307221 0.0745175i
\(895\) −8.81456 + 7.39630i −0.294638 + 0.247231i
\(896\) −1.48221 + 5.70577i −0.0495170 + 0.190616i
\(897\) 1.19230 6.76189i 0.0398099 0.225773i
\(898\) −0.893708 2.04231i −0.0298234 0.0681529i
\(899\) −1.35946 3.73509i −0.0453406 0.124572i
\(900\) −0.349727 + 7.32890i −0.0116576 + 0.244297i
\(901\) 7.12873 4.11577i 0.237492 0.137116i
\(902\) −6.85789 + 13.8357i −0.228343 + 0.460680i
\(903\) −2.74855 2.30631i −0.0914660 0.0767491i
\(904\) −38.9086 13.4718i −1.29408 0.448066i
\(905\) −9.46426 + 16.3926i −0.314603 + 0.544908i
\(906\) 11.5478 + 17.3585i 0.383650 + 0.576697i
\(907\) 35.5593 6.27006i 1.18073 0.208194i 0.451376 0.892334i \(-0.350933\pi\)
0.729351 + 0.684140i \(0.239822\pi\)
\(908\) −5.64506 + 1.75478i −0.187338 + 0.0582345i
\(909\) 5.27607 14.4959i 0.174996 0.480798i
\(910\) 1.21088 1.64444i 0.0401402 0.0545125i
\(911\) −20.5501 −0.680857 −0.340428 0.940270i \(-0.610572\pi\)
−0.340428 + 0.940270i \(0.610572\pi\)
\(912\) 11.8202 + 22.1338i 0.391407 + 0.732925i
\(913\) −25.8618 −0.855900
\(914\) −27.0333 + 36.7127i −0.894183 + 1.21435i
\(915\) −2.74065 + 7.52986i −0.0906030 + 0.248930i
\(916\) 14.7279 4.57819i 0.486623 0.151268i
\(917\) −4.58972 + 0.809291i −0.151566 + 0.0267251i
\(918\) 2.52907 + 3.80166i 0.0834717 + 0.125474i
\(919\) 13.7010 23.7309i 0.451955 0.782809i −0.546552 0.837425i \(-0.684060\pi\)
0.998507 + 0.0546156i \(0.0173933\pi\)
\(920\) 1.67353 4.83342i 0.0551748 0.159353i
\(921\) −27.6676 23.2159i −0.911679 0.764990i
\(922\) 18.7916 37.9119i 0.618868 1.24856i
\(923\) 36.0860 20.8342i 1.18778 0.685767i
\(924\) 0.163912 3.43496i 0.00539232 0.113002i
\(925\) −5.84696 16.0644i −0.192247 0.528194i
\(926\) 1.23792 + 2.82890i 0.0406804 + 0.0929635i
\(927\) 1.36725 7.75409i 0.0449065 0.254678i
\(928\) −8.36599 7.48795i −0.274627 0.245804i
\(929\) −1.98228 + 1.66333i −0.0650364 + 0.0545720i −0.674726 0.738068i \(-0.735738\pi\)
0.609690 + 0.792640i \(0.291294\pi\)
\(930\) −4.05968 + 0.984690i −0.133122 + 0.0322893i
\(931\) 20.2138 + 21.2505i 0.662480 + 0.696456i
\(932\) −33.3140 + 17.1711i −1.09124 + 0.562457i
\(933\) 30.4845 + 36.3300i 0.998018 + 1.18939i
\(934\) 3.67676 32.9555i 0.120307 1.07834i
\(935\) 0.233024 1.32155i 0.00762071 0.0432192i
\(936\) 4.48009 5.51314i 0.146436 0.180203i
\(937\) 7.12504 2.59330i 0.232765 0.0847195i −0.223004 0.974817i \(-0.571586\pi\)
0.455769 + 0.890098i \(0.349364\pi\)
\(938\) −5.20012 1.52713i −0.169790 0.0498624i
\(939\) −6.97161 + 4.02506i −0.227510 + 0.131353i
\(940\) −3.87422 + 17.1466i −0.126363 + 0.559260i
\(941\) −32.6431 + 38.9025i −1.06413 + 1.26819i −0.102241 + 0.994760i \(0.532601\pi\)
−0.961893 + 0.273426i \(0.911843\pi\)
\(942\) −22.2660 23.3539i −0.725466 0.760910i
\(943\) −4.20127 + 7.27682i −0.136812 + 0.236966i
\(944\) 21.3896 + 5.91741i 0.696174 + 0.192595i
\(945\) −0.524342 2.97369i −0.0170568 0.0967342i
\(946\) 0.983408 + 15.4842i 0.0319734 + 0.503436i
\(947\) 3.75096 10.3057i 0.121890 0.334890i −0.863709 0.503991i \(-0.831864\pi\)
0.985599 + 0.169102i \(0.0540866\pi\)
\(948\) 20.4169 + 8.55398i 0.663110 + 0.277820i
\(949\) 6.90065i 0.224005i
\(950\) −1.18858 + 24.3177i −0.0385627 + 0.788972i
\(951\) 35.2236 1.14220
\(952\) −0.133072 + 0.830979i −0.00431289 + 0.0269322i
\(953\) 3.96871 + 1.44449i 0.128559 + 0.0467916i 0.405499 0.914096i \(-0.367098\pi\)
−0.276940 + 0.960887i \(0.589320\pi\)
\(954\) −18.8982 + 1.20023i −0.611853 + 0.0388590i
\(955\) −7.06185 + 1.24519i −0.228516 + 0.0402935i
\(956\) −31.1526 + 33.7220i −1.00755 + 1.09065i
\(957\) 5.67204 + 3.27476i 0.183351 + 0.105858i
\(958\) −8.95587 9.39343i −0.289351 0.303488i
\(959\) −5.91425 4.96264i −0.190981 0.160252i
\(960\) −8.79599 + 7.86562i −0.283889 + 0.253862i
\(961\) 13.4947 + 23.3735i 0.435313 + 0.753985i
\(962\) −4.66383 + 15.8811i −0.150368 + 0.512027i
\(963\) −0.332483 0.913490i −0.0107141 0.0294368i
\(964\) −32.5232 42.7423i −1.04750 1.37664i
\(965\) 18.6898 + 3.29552i 0.601647 + 0.106087i
\(966\) 0.207478 1.85966i 0.00667548 0.0598337i
\(967\) −26.2597 + 22.0345i −0.844454 + 0.708581i −0.958561 0.284887i \(-0.908044\pi\)
0.114107 + 0.993468i \(0.463599\pi\)
\(968\) 12.2762 10.6348i 0.394573 0.341814i
\(969\) 1.98061 + 2.98470i 0.0636265 + 0.0958825i
\(970\) −3.43011 14.1417i −0.110134 0.454062i
\(971\) 16.3611 + 19.4984i 0.525052 + 0.625733i 0.961768 0.273867i \(-0.0883027\pi\)
−0.436715 + 0.899600i \(0.643858\pi\)
\(972\) −2.34356 18.3758i −0.0751696 0.589404i
\(973\) −5.98247 1.05487i −0.191789 0.0338176i
\(974\) 6.23602 + 14.2506i 0.199815 + 0.456620i
\(975\) −14.4424 + 5.25661i −0.462528 + 0.168346i
\(976\) −19.7684 + 9.02398i −0.632772 + 0.288851i
\(977\) 13.0060 + 22.5271i 0.416099 + 0.720705i 0.995543 0.0943073i \(-0.0300636\pi\)
−0.579444 + 0.815012i \(0.696730\pi\)
\(978\) 32.4353 + 16.0771i 1.03717 + 0.514088i
\(979\) 14.7583 17.5883i 0.471679 0.562125i
\(980\) −7.45756 + 11.6021i −0.238223 + 0.370615i
\(981\) 12.7945 + 7.38691i 0.408497 + 0.235846i
\(982\) 25.8102 + 38.7974i 0.823635 + 1.23808i
\(983\) 0.838594 + 4.75590i 0.0267470 + 0.151690i 0.995256 0.0972876i \(-0.0310167\pi\)
−0.968509 + 0.248977i \(0.919906\pi\)
\(984\) 16.6325 9.95516i 0.530226 0.317359i
\(985\) 13.6785 + 4.97856i 0.435832 + 0.158630i
\(986\) −1.29066 0.950372i −0.0411028 0.0302660i
\(987\) 6.43086i 0.204697i
\(988\) 14.8872 18.2768i 0.473624 0.581461i
\(989\) 8.44245i 0.268454i
\(990\) −1.83044 + 2.48584i −0.0581753 + 0.0790052i
\(991\) 8.08563 + 2.94293i 0.256848 + 0.0934852i 0.467235 0.884133i \(-0.345250\pi\)
−0.210387 + 0.977618i \(0.567472\pi\)
\(992\) −9.62500 5.97474i −0.305594 0.189698i
\(993\) 4.61766 + 26.1881i 0.146537 + 0.831053i
\(994\) 9.45462 6.28972i 0.299882 0.199498i
\(995\) −18.6961 10.7942i −0.592707 0.342199i
\(996\) 27.3089 + 17.5535i 0.865315 + 0.556205i
\(997\) −11.5971 + 13.8209i −0.367284 + 0.437712i −0.917758 0.397140i \(-0.870003\pi\)
0.550474 + 0.834852i \(0.314447\pi\)
\(998\) −1.18710 + 2.39496i −0.0375769 + 0.0758112i
\(999\) 12.2369 + 21.1949i 0.387157 + 0.670575i
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 152.2.t.a.101.14 108
4.3 odd 2 608.2.bf.a.177.5 108
8.3 odd 2 608.2.bf.a.177.14 108
8.5 even 2 inner 152.2.t.a.101.16 yes 108
19.16 even 9 inner 152.2.t.a.149.16 yes 108
76.35 odd 18 608.2.bf.a.529.14 108
152.35 odd 18 608.2.bf.a.529.5 108
152.149 even 18 inner 152.2.t.a.149.14 yes 108
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
152.2.t.a.101.14 108 1.1 even 1 trivial
152.2.t.a.101.16 yes 108 8.5 even 2 inner
152.2.t.a.149.14 yes 108 152.149 even 18 inner
152.2.t.a.149.16 yes 108 19.16 even 9 inner
608.2.bf.a.177.5 108 4.3 odd 2
608.2.bf.a.177.14 108 8.3 odd 2
608.2.bf.a.529.5 108 152.35 odd 18
608.2.bf.a.529.14 108 76.35 odd 18