Properties

Label 588.2.x.a.139.19
Level $588$
Weight $2$
Character 588.139
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
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] = [588,2,Mod(55,588)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(588, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([7, 0, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("588.55");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), 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: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 139.19
Character \(\chi\) \(=\) 588.139
Dual form 588.2.x.a.55.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.652439 - 1.25472i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-1.14865 - 1.63726i) q^{4} +(-0.0842420 - 0.174930i) q^{5} +(-0.0434247 + 1.41355i) q^{6} +(2.61856 - 0.378316i) q^{7} +(-2.80372 + 0.373018i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})\) \(q+(0.652439 - 1.25472i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-1.14865 - 1.63726i) q^{4} +(-0.0842420 - 0.174930i) q^{5} +(-0.0434247 + 1.41355i) q^{6} +(2.61856 - 0.378316i) q^{7} +(-2.80372 + 0.373018i) q^{8} +(0.623490 - 0.781831i) q^{9} +(-0.274451 - 0.00843125i) q^{10} +(1.26765 - 1.01092i) q^{11} +(1.74527 + 0.976739i) q^{12} +(3.76001 - 2.99851i) q^{13} +(1.23377 - 3.53239i) q^{14} +(0.151799 + 0.121055i) q^{15} +(-1.36122 + 3.76126i) q^{16} +(1.09312 - 0.249496i) q^{17} +(-0.574191 - 1.29240i) q^{18} -6.56771 q^{19} +(-0.189642 + 0.338859i) q^{20} +(-2.19510 + 1.47700i) q^{21} +(-0.441355 - 2.25011i) q^{22} +(-5.93966 - 1.35569i) q^{23} +(2.36422 - 1.55257i) q^{24} +(3.09395 - 3.87968i) q^{25} +(-1.30911 - 6.67411i) q^{26} +(-0.222521 + 0.974928i) q^{27} +(-3.62720 - 3.85271i) q^{28} +(-2.33762 - 10.2418i) q^{29} +(0.250930 - 0.111484i) q^{30} +4.97538 q^{31} +(3.83121 + 4.16195i) q^{32} +(-0.703494 + 1.46082i) q^{33} +(0.400143 - 1.53434i) q^{34} +(-0.286772 - 0.426196i) q^{35} +(-1.99623 - 0.122766i) q^{36} +(-1.73582 - 7.60512i) q^{37} +(-4.28503 + 8.24063i) q^{38} +(-2.08665 + 4.33297i) q^{39} +(0.301443 + 0.459032i) q^{40} +(1.79187 + 3.72085i) q^{41} +(0.421057 + 3.71789i) q^{42} +(-1.62030 + 3.36458i) q^{43} +(-3.11122 - 0.914285i) q^{44} +(-0.189290 - 0.0432042i) q^{45} +(-5.57627 + 6.56810i) q^{46} +(0.502093 + 0.629604i) q^{47} +(-0.405528 - 3.97939i) q^{48} +(6.71375 - 1.98129i) q^{49} +(-2.84931 - 6.41329i) q^{50} +(-0.876611 + 0.699074i) q^{51} +(-9.22826 - 2.71188i) q^{52} +(-3.09964 + 13.5804i) q^{53} +(1.07808 + 0.915283i) q^{54} +(-0.283630 - 0.136589i) q^{55} +(-7.20061 + 2.03747i) q^{56} +(5.91730 - 2.84962i) q^{57} +(-14.3757 - 3.74908i) q^{58} +(11.7511 + 5.65905i) q^{59} +(0.0238359 - 0.387584i) q^{60} +(9.88689 - 2.25662i) q^{61} +(3.24613 - 6.24271i) q^{62} +(1.33687 - 2.28315i) q^{63} +(7.72171 - 2.09168i) q^{64} +(-0.841281 - 0.405140i) q^{65} +(1.37393 + 1.83578i) q^{66} -9.60101i q^{67} +(-1.66409 - 1.50313i) q^{68} +(5.93966 - 1.35569i) q^{69} +(-0.721858 + 0.0817516i) q^{70} +(-10.0370 - 2.29089i) q^{71} +(-1.45645 + 2.42461i) q^{72} +(2.14613 + 1.71148i) q^{73} +(-10.6748 - 2.78391i) q^{74} +(-1.10422 + 4.83789i) q^{75} +(7.54397 + 10.7530i) q^{76} +(2.93698 - 3.12673i) q^{77} +(4.07526 + 5.44517i) q^{78} +13.3933i q^{79} +(0.772630 - 0.0787365i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(5.83770 + 0.179337i) q^{82} +(-3.09776 + 3.88447i) q^{83} +(4.93963 + 1.89739i) q^{84} +(-0.135731 - 0.170201i) q^{85} +(3.16446 + 4.22821i) q^{86} +(6.54987 + 8.21328i) q^{87} +(-3.17705 + 3.30719i) q^{88} +(-1.41782 - 1.13068i) q^{89} +(-0.177709 + 0.209318i) q^{90} +(8.71145 - 9.27427i) q^{91} +(4.60295 + 11.2820i) q^{92} +(-4.48266 + 2.15874i) q^{93} +(1.11756 - 0.219207i) q^{94} +(0.553276 + 1.14889i) q^{95} +(-5.25760 - 2.08749i) q^{96} +16.9791i q^{97} +(1.89435 - 9.71655i) q^{98} -1.62139i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.652439 1.25472i 0.461344 0.887221i
\(3\) −0.900969 + 0.433884i −0.520175 + 0.250503i
\(4\) −1.14865 1.63726i −0.574323 0.818629i
\(5\) −0.0842420 0.174930i −0.0376742 0.0782312i 0.881282 0.472590i \(-0.156681\pi\)
−0.918956 + 0.394359i \(0.870967\pi\)
\(6\) −0.0434247 + 1.41355i −0.0177281 + 0.577078i
\(7\) 2.61856 0.378316i 0.989724 0.142990i
\(8\) −2.80372 + 0.373018i −0.991265 + 0.131882i
\(9\) 0.623490 0.781831i 0.207830 0.260610i
\(10\) −0.274451 0.00843125i −0.0867891 0.00266620i
\(11\) 1.26765 1.01092i 0.382212 0.304804i −0.413471 0.910517i \(-0.635684\pi\)
0.795683 + 0.605714i \(0.207112\pi\)
\(12\) 1.74527 + 0.976739i 0.503817 + 0.281960i
\(13\) 3.76001 2.99851i 1.04284 0.831637i 0.0568405 0.998383i \(-0.481897\pi\)
0.986000 + 0.166746i \(0.0533259\pi\)
\(14\) 1.23377 3.53239i 0.329740 0.944072i
\(15\) 0.151799 + 0.121055i 0.0391943 + 0.0312564i
\(16\) −1.36122 + 3.76126i −0.340306 + 0.940315i
\(17\) 1.09312 0.249496i 0.265119 0.0605118i −0.0878947 0.996130i \(-0.528014\pi\)
0.353014 + 0.935618i \(0.385157\pi\)
\(18\) −0.574191 1.29240i −0.135338 0.304622i
\(19\) −6.56771 −1.50673 −0.753367 0.657600i \(-0.771572\pi\)
−0.753367 + 0.657600i \(0.771572\pi\)
\(20\) −0.189642 + 0.338859i −0.0424052 + 0.0757711i
\(21\) −2.19510 + 1.47700i −0.479010 + 0.322309i
\(22\) −0.441355 2.25011i −0.0940971 0.479726i
\(23\) −5.93966 1.35569i −1.23850 0.282680i −0.447384 0.894342i \(-0.647644\pi\)
−0.791120 + 0.611662i \(0.790501\pi\)
\(24\) 2.36422 1.55257i 0.482594 0.316917i
\(25\) 3.09395 3.87968i 0.618789 0.775937i
\(26\) −1.30911 6.67411i −0.256738 1.30890i
\(27\) −0.222521 + 0.974928i −0.0428242 + 0.187625i
\(28\) −3.62720 3.85271i −0.685477 0.728094i
\(29\) −2.33762 10.2418i −0.434085 1.90185i −0.432040 0.901855i \(-0.642206\pi\)
−0.00204587 0.999998i \(-0.500651\pi\)
\(30\) 0.250930 0.111484i 0.0458134 0.0203540i
\(31\) 4.97538 0.893605 0.446803 0.894633i \(-0.352563\pi\)
0.446803 + 0.894633i \(0.352563\pi\)
\(32\) 3.83121 + 4.16195i 0.677269 + 0.735736i
\(33\) −0.703494 + 1.46082i −0.122463 + 0.254296i
\(34\) 0.400143 1.53434i 0.0686240 0.263136i
\(35\) −0.286772 0.426196i −0.0484733 0.0720403i
\(36\) −1.99623 0.122766i −0.332705 0.0204610i
\(37\) −1.73582 7.60512i −0.285367 1.25027i −0.890806 0.454383i \(-0.849860\pi\)
0.605439 0.795891i \(-0.292997\pi\)
\(38\) −4.28503 + 8.24063i −0.695123 + 1.33681i
\(39\) −2.08665 + 4.33297i −0.334132 + 0.693831i
\(40\) 0.301443 + 0.459032i 0.0476624 + 0.0725793i
\(41\) 1.79187 + 3.72085i 0.279842 + 0.581099i 0.992755 0.120154i \(-0.0383388\pi\)
−0.712913 + 0.701253i \(0.752625\pi\)
\(42\) 0.421057 + 3.71789i 0.0649706 + 0.573683i
\(43\) −1.62030 + 3.36458i −0.247093 + 0.513094i −0.987218 0.159375i \(-0.949052\pi\)
0.740125 + 0.672469i \(0.234766\pi\)
\(44\) −3.11122 0.914285i −0.469034 0.137834i
\(45\) −0.189290 0.0432042i −0.0282177 0.00644050i
\(46\) −5.57627 + 6.56810i −0.822177 + 0.968414i
\(47\) 0.502093 + 0.629604i 0.0732378 + 0.0918372i 0.817101 0.576495i \(-0.195580\pi\)
−0.743863 + 0.668332i \(0.767009\pi\)
\(48\) −0.405528 3.97939i −0.0585330 0.574376i
\(49\) 6.71375 1.98129i 0.959108 0.283041i
\(50\) −2.84931 6.41329i −0.402953 0.906977i
\(51\) −0.876611 + 0.699074i −0.122750 + 0.0978899i
\(52\) −9.22826 2.71188i −1.27973 0.376071i
\(53\) −3.09964 + 13.5804i −0.425769 + 1.86542i 0.0709122 + 0.997483i \(0.477409\pi\)
−0.496681 + 0.867933i \(0.665448\pi\)
\(54\) 1.07808 + 0.915283i 0.146708 + 0.124554i
\(55\) −0.283630 0.136589i −0.0382446 0.0184176i
\(56\) −7.20061 + 2.03747i −0.962221 + 0.272268i
\(57\) 5.91730 2.84962i 0.783765 0.377441i
\(58\) −14.3757 3.74908i −1.88763 0.492279i
\(59\) 11.7511 + 5.65905i 1.52987 + 0.736745i 0.994186 0.107675i \(-0.0343406\pi\)
0.535681 + 0.844420i \(0.320055\pi\)
\(60\) 0.0238359 0.387584i 0.00307721 0.0500368i
\(61\) 9.88689 2.25662i 1.26589 0.288930i 0.463694 0.885995i \(-0.346524\pi\)
0.802193 + 0.597065i \(0.203667\pi\)
\(62\) 3.24613 6.24271i 0.412260 0.792825i
\(63\) 1.33687 2.28315i 0.168430 0.287650i
\(64\) 7.72171 2.09168i 0.965214 0.261460i
\(65\) −0.841281 0.405140i −0.104348 0.0502514i
\(66\) 1.37393 + 1.83578i 0.169120 + 0.225970i
\(67\) 9.60101i 1.17295i −0.809967 0.586475i \(-0.800515\pi\)
0.809967 0.586475i \(-0.199485\pi\)
\(68\) −1.66409 1.50313i −0.201801 0.182281i
\(69\) 5.93966 1.35569i 0.715050 0.163206i
\(70\) −0.721858 + 0.0817516i −0.0862785 + 0.00977119i
\(71\) −10.0370 2.29089i −1.19118 0.271878i −0.419417 0.907794i \(-0.637766\pi\)
−0.771759 + 0.635915i \(0.780623\pi\)
\(72\) −1.45645 + 2.42461i −0.171645 + 0.285743i
\(73\) 2.14613 + 1.71148i 0.251186 + 0.200314i 0.740986 0.671521i \(-0.234359\pi\)
−0.489800 + 0.871835i \(0.662930\pi\)
\(74\) −10.6748 2.78391i −1.24092 0.323623i
\(75\) −1.10422 + 4.83789i −0.127504 + 0.558631i
\(76\) 7.54397 + 10.7530i 0.865353 + 1.23346i
\(77\) 2.93698 3.12673i 0.334700 0.356324i
\(78\) 4.07526 + 5.44517i 0.461432 + 0.616544i
\(79\) 13.3933i 1.50687i 0.657524 + 0.753434i \(0.271604\pi\)
−0.657524 + 0.753434i \(0.728396\pi\)
\(80\) 0.772630 0.0787365i 0.0863827 0.00880301i
\(81\) −0.222521 0.974928i −0.0247245 0.108325i
\(82\) 5.83770 + 0.179337i 0.644667 + 0.0198044i
\(83\) −3.09776 + 3.88447i −0.340024 + 0.426376i −0.922216 0.386675i \(-0.873624\pi\)
0.582192 + 0.813051i \(0.302195\pi\)
\(84\) 4.93963 + 1.89739i 0.538958 + 0.207022i
\(85\) −0.135731 0.170201i −0.0147221 0.0184609i
\(86\) 3.16446 + 4.22821i 0.341233 + 0.455939i
\(87\) 6.54987 + 8.21328i 0.702220 + 0.880556i
\(88\) −3.17705 + 3.30719i −0.338675 + 0.352548i
\(89\) −1.41782 1.13068i −0.150289 0.119851i 0.545459 0.838138i \(-0.316355\pi\)
−0.695748 + 0.718286i \(0.744927\pi\)
\(90\) −0.177709 + 0.209318i −0.0187322 + 0.0220640i
\(91\) 8.71145 9.27427i 0.913208 0.972208i
\(92\) 4.60295 + 11.2820i 0.479891 + 1.17622i
\(93\) −4.48266 + 2.15874i −0.464831 + 0.223851i
\(94\) 1.11756 0.219207i 0.115268 0.0226095i
\(95\) 0.553276 + 1.14889i 0.0567650 + 0.117874i
\(96\) −5.25760 2.08749i −0.536602 0.213053i
\(97\) 16.9791i 1.72397i 0.506933 + 0.861985i \(0.330779\pi\)
−0.506933 + 0.861985i \(0.669221\pi\)
\(98\) 1.89435 9.71655i 0.191358 0.981520i
\(99\) 1.62139i 0.162956i
\(100\) −9.90589 0.609201i −0.990589 0.0609201i
\(101\) −3.12183 6.48255i −0.310634 0.645038i 0.685948 0.727651i \(-0.259388\pi\)
−0.996582 + 0.0826127i \(0.973674\pi\)
\(102\) 0.305207 + 1.55600i 0.0302200 + 0.154067i
\(103\) 12.5895 6.06280i 1.24048 0.597386i 0.305540 0.952179i \(-0.401163\pi\)
0.934945 + 0.354794i \(0.115449\pi\)
\(104\) −9.42354 + 9.80955i −0.924054 + 0.961905i
\(105\) 0.443292 + 0.259564i 0.0432609 + 0.0253308i
\(106\) 15.0173 + 12.7496i 1.45861 + 1.23835i
\(107\) −3.78731 3.02028i −0.366133 0.291981i 0.423091 0.906087i \(-0.360945\pi\)
−0.789223 + 0.614106i \(0.789517\pi\)
\(108\) 1.85181 0.755523i 0.178190 0.0727002i
\(109\) 7.69923 + 9.65453i 0.737453 + 0.924736i 0.999183 0.0404046i \(-0.0128647\pi\)
−0.261731 + 0.965141i \(0.584293\pi\)
\(110\) −0.356432 + 0.266760i −0.0339845 + 0.0254346i
\(111\) 4.86366 + 6.09883i 0.461638 + 0.578876i
\(112\) −2.14151 + 10.3641i −0.202353 + 0.979313i
\(113\) −0.602171 + 0.755098i −0.0566474 + 0.0710336i −0.809348 0.587329i \(-0.800179\pi\)
0.752701 + 0.658363i \(0.228751\pi\)
\(114\) 0.285201 9.28376i 0.0267115 0.869504i
\(115\) 0.263217 + 1.15323i 0.0245452 + 0.107539i
\(116\) −14.0833 + 15.5915i −1.30761 + 1.44763i
\(117\) 4.80924i 0.444614i
\(118\) 14.7674 11.0522i 1.35945 1.01744i
\(119\) 2.76800 1.06687i 0.253743 0.0977994i
\(120\) −0.470757 0.282782i −0.0429741 0.0258144i
\(121\) −1.86274 + 8.16122i −0.169340 + 0.741929i
\(122\) 3.61917 13.8776i 0.327664 1.25642i
\(123\) −3.22883 2.57491i −0.291134 0.232171i
\(124\) −5.71495 8.14598i −0.513218 0.731531i
\(125\) −1.88576 0.430413i −0.168668 0.0384973i
\(126\) −1.99249 3.16701i −0.177505 0.282140i
\(127\) 15.9501 3.64051i 1.41535 0.323043i 0.554616 0.832106i \(-0.312865\pi\)
0.860729 + 0.509063i \(0.170008\pi\)
\(128\) 2.41348 11.0533i 0.213323 0.976982i
\(129\) 3.73440i 0.328796i
\(130\) −1.05722 + 0.791244i −0.0927245 + 0.0693967i
\(131\) −2.85813 1.37640i −0.249716 0.120257i 0.304839 0.952404i \(-0.401397\pi\)
−0.554555 + 0.832147i \(0.687112\pi\)
\(132\) 3.19981 0.526165i 0.278507 0.0457968i
\(133\) −17.1980 + 2.48467i −1.49125 + 0.215448i
\(134\) −12.0466 6.26407i −1.04067 0.541134i
\(135\) 0.189290 0.0432042i 0.0162915 0.00371843i
\(136\) −2.97173 + 1.10727i −0.254823 + 0.0949477i
\(137\) 11.7179 + 5.64305i 1.00113 + 0.482119i 0.861322 0.508060i \(-0.169637\pi\)
0.139808 + 0.990179i \(0.455352\pi\)
\(138\) 2.17426 8.33711i 0.185085 0.709702i
\(139\) −7.62414 + 3.67159i −0.646671 + 0.311420i −0.728316 0.685241i \(-0.759697\pi\)
0.0816454 + 0.996661i \(0.473983\pi\)
\(140\) −0.368393 + 0.959068i −0.0311349 + 0.0810560i
\(141\) −0.725545 0.349404i −0.0611019 0.0294251i
\(142\) −9.42297 + 11.0990i −0.790758 + 0.931407i
\(143\) 1.73514 7.60214i 0.145100 0.635723i
\(144\) 2.09196 + 3.40935i 0.174330 + 0.284113i
\(145\) −1.59467 + 1.27171i −0.132430 + 0.105610i
\(146\) 3.54766 1.57616i 0.293606 0.130444i
\(147\) −5.18923 + 4.69807i −0.428001 + 0.387490i
\(148\) −10.4577 + 11.5776i −0.859618 + 0.951671i
\(149\) −5.26130 6.59746i −0.431022 0.540485i 0.518130 0.855302i \(-0.326628\pi\)
−0.949152 + 0.314817i \(0.898057\pi\)
\(150\) 5.34976 + 4.54191i 0.436806 + 0.370845i
\(151\) 2.77193 + 0.632674i 0.225576 + 0.0514863i 0.333815 0.942639i \(-0.391664\pi\)
−0.108239 + 0.994125i \(0.534521\pi\)
\(152\) 18.4140 2.44988i 1.49357 0.198711i
\(153\) 0.486482 1.01019i 0.0393298 0.0816691i
\(154\) −2.00697 5.72509i −0.161726 0.461341i
\(155\) −0.419136 0.870345i −0.0336658 0.0699078i
\(156\) 9.49102 1.56067i 0.759890 0.124954i
\(157\) −3.64906 + 7.57735i −0.291227 + 0.604738i −0.994329 0.106351i \(-0.966083\pi\)
0.703102 + 0.711089i \(0.251798\pi\)
\(158\) 16.8049 + 8.73834i 1.33693 + 0.695185i
\(159\) −3.09964 13.5804i −0.245818 1.07700i
\(160\) 0.405302 1.02081i 0.0320419 0.0807018i
\(161\) −16.0662 1.30289i −1.26620 0.102682i
\(162\) −1.36844 0.356880i −0.107515 0.0280391i
\(163\) 5.89332 12.2376i 0.461601 0.958523i −0.532124 0.846667i \(-0.678606\pi\)
0.993724 0.111857i \(-0.0356798\pi\)
\(164\) 4.03376 7.20768i 0.314984 0.562825i
\(165\) 0.314805 0.0245076
\(166\) 2.85282 + 6.42121i 0.221422 + 0.498383i
\(167\) 4.72036 + 20.6812i 0.365272 + 1.60036i 0.739587 + 0.673061i \(0.235021\pi\)
−0.374315 + 0.927302i \(0.622122\pi\)
\(168\) 5.60350 4.95992i 0.432319 0.382666i
\(169\) 2.25387 9.87483i 0.173374 0.759602i
\(170\) −0.302111 + 0.0592583i −0.0231708 + 0.00454490i
\(171\) −4.09490 + 5.13484i −0.313145 + 0.392671i
\(172\) 7.36984 1.21187i 0.561945 0.0924042i
\(173\) −15.6096 3.56278i −1.18677 0.270873i −0.416829 0.908985i \(-0.636859\pi\)
−0.769944 + 0.638112i \(0.779716\pi\)
\(174\) 14.5788 2.85959i 1.10521 0.216785i
\(175\) 6.63395 11.3297i 0.501479 0.856444i
\(176\) 2.07677 + 6.14406i 0.156542 + 0.463126i
\(177\) −13.0428 −0.980355
\(178\) −2.34372 + 1.04127i −0.175669 + 0.0780467i
\(179\) −12.6591 + 2.88935i −0.946182 + 0.215960i −0.667657 0.744469i \(-0.732703\pi\)
−0.278525 + 0.960429i \(0.589846\pi\)
\(180\) 0.146691 + 0.359543i 0.0109337 + 0.0267987i
\(181\) 2.76784 + 2.20728i 0.205732 + 0.164066i 0.720936 0.693002i \(-0.243712\pi\)
−0.515204 + 0.857068i \(0.672284\pi\)
\(182\) −5.95292 16.9813i −0.441260 1.25874i
\(183\) −7.92867 + 6.32290i −0.586104 + 0.467402i
\(184\) 17.1588 + 1.58537i 1.26497 + 0.116875i
\(185\) −1.18414 + 0.944318i −0.0870595 + 0.0694276i
\(186\) −0.216055 + 7.03294i −0.0158419 + 0.515680i
\(187\) 1.13347 1.42133i 0.0828875 0.103938i
\(188\) 0.454098 1.54525i 0.0331185 0.112699i
\(189\) −0.213854 + 2.63709i −0.0155556 + 0.191820i
\(190\) 1.80252 + 0.0553740i 0.130768 + 0.00401725i
\(191\) 2.84880 + 5.91559i 0.206132 + 0.428037i 0.978246 0.207446i \(-0.0665152\pi\)
−0.772115 + 0.635483i \(0.780801\pi\)
\(192\) −6.04948 + 5.23487i −0.436583 + 0.377794i
\(193\) −5.13759 + 2.47413i −0.369812 + 0.178092i −0.609554 0.792745i \(-0.708651\pi\)
0.239742 + 0.970837i \(0.422937\pi\)
\(194\) 21.3041 + 11.0779i 1.52954 + 0.795344i
\(195\) 0.933752 0.0668674
\(196\) −10.9556 8.71634i −0.782544 0.622596i
\(197\) 16.7730 1.19503 0.597514 0.801859i \(-0.296155\pi\)
0.597514 + 0.801859i \(0.296155\pi\)
\(198\) −2.03439 1.05786i −0.144578 0.0751787i
\(199\) 8.51555 4.10087i 0.603651 0.290703i −0.106987 0.994260i \(-0.534120\pi\)
0.710639 + 0.703557i \(0.248406\pi\)
\(200\) −7.22737 + 12.0317i −0.511052 + 0.850767i
\(201\) 4.16572 + 8.65021i 0.293827 + 0.610139i
\(202\) −10.1706 0.312445i −0.715601 0.0219835i
\(203\) −9.99585 25.9344i −0.701571 1.82024i
\(204\) 2.15148 + 0.632249i 0.150634 + 0.0442663i
\(205\) 0.499938 0.626903i 0.0349172 0.0437848i
\(206\) 0.606788 19.7520i 0.0422769 1.37618i
\(207\) −4.76323 + 3.79855i −0.331068 + 0.264018i
\(208\) 6.15995 + 18.2240i 0.427116 + 1.26361i
\(209\) −8.32557 + 6.63942i −0.575892 + 0.459258i
\(210\) 0.614901 0.386858i 0.0424322 0.0266957i
\(211\) −9.35137 7.45747i −0.643775 0.513393i 0.246308 0.969192i \(-0.420782\pi\)
−0.890083 + 0.455798i \(0.849354\pi\)
\(212\) 25.7951 10.5242i 1.77161 0.722804i
\(213\) 10.0370 2.29089i 0.687726 0.156969i
\(214\) −6.26059 + 2.78146i −0.427965 + 0.190137i
\(215\) 0.725064 0.0494490
\(216\) 0.260221 2.81643i 0.0177058 0.191634i
\(217\) 13.0284 1.88227i 0.884422 0.127777i
\(218\) 17.1370 3.36139i 1.16067 0.227662i
\(219\) −2.67619 0.610822i −0.180840 0.0412755i
\(220\) 0.102159 + 0.621267i 0.00688756 + 0.0418858i
\(221\) 3.36201 4.21583i 0.226153 0.283587i
\(222\) 10.8256 2.12341i 0.726565 0.142514i
\(223\) 0.649689 2.84647i 0.0435064 0.190614i −0.948505 0.316762i \(-0.897404\pi\)
0.992011 + 0.126148i \(0.0402615\pi\)
\(224\) 11.6068 + 9.44892i 0.775512 + 0.631332i
\(225\) −1.10422 4.83789i −0.0736144 0.322526i
\(226\) 0.554557 + 1.24821i 0.0368886 + 0.0830298i
\(227\) 11.5849 0.768918 0.384459 0.923142i \(-0.374388\pi\)
0.384459 + 0.923142i \(0.374388\pi\)
\(228\) −11.4624 6.41494i −0.759119 0.424839i
\(229\) −2.59462 + 5.38779i −0.171458 + 0.356035i −0.968936 0.247312i \(-0.920453\pi\)
0.797478 + 0.603348i \(0.206167\pi\)
\(230\) 1.61872 + 0.422149i 0.106735 + 0.0278357i
\(231\) −1.28949 + 4.09140i −0.0848424 + 0.269194i
\(232\) 10.3744 + 27.8432i 0.681114 + 1.82799i
\(233\) 1.67477 + 7.33765i 0.109718 + 0.480706i 0.999695 + 0.0247002i \(0.00786311\pi\)
−0.889977 + 0.456005i \(0.849280\pi\)
\(234\) −6.03425 3.13774i −0.394471 0.205120i
\(235\) 0.0678396 0.140870i 0.00442537 0.00918937i
\(236\) −4.23258 25.7399i −0.275517 1.67552i
\(237\) −5.81115 12.0670i −0.377475 0.783834i
\(238\) 0.467336 4.16914i 0.0302929 0.270245i
\(239\) −1.93460 + 4.01723i −0.125139 + 0.259853i −0.954121 0.299422i \(-0.903206\pi\)
0.828982 + 0.559275i \(0.188920\pi\)
\(240\) −0.661953 + 0.406171i −0.0427289 + 0.0262182i
\(241\) −11.9723 2.73261i −0.771206 0.176023i −0.181227 0.983441i \(-0.558007\pi\)
−0.589979 + 0.807419i \(0.700864\pi\)
\(242\) 9.02472 + 7.66192i 0.580131 + 0.492527i
\(243\) 0.623490 + 0.781831i 0.0399969 + 0.0501545i
\(244\) −15.0512 13.5953i −0.963555 0.870352i
\(245\) −0.912167 1.00753i −0.0582762 0.0643688i
\(246\) −5.33740 + 2.37131i −0.340300 + 0.151189i
\(247\) −24.6947 + 19.6933i −1.57128 + 1.25306i
\(248\) −13.9496 + 1.85591i −0.885800 + 0.117850i
\(249\) 1.10558 4.84386i 0.0700632 0.306967i
\(250\) −1.77039 + 2.08529i −0.111970 + 0.131885i
\(251\) 0.110904 + 0.0534085i 0.00700019 + 0.00337111i 0.437381 0.899277i \(-0.355906\pi\)
−0.430380 + 0.902648i \(0.641621\pi\)
\(252\) −5.27370 + 0.433736i −0.332212 + 0.0273228i
\(253\) −8.89991 + 4.28597i −0.559533 + 0.269457i
\(254\) 5.83867 22.3882i 0.366350 1.40476i
\(255\) 0.196137 + 0.0944544i 0.0122825 + 0.00591496i
\(256\) −12.2941 10.2398i −0.768384 0.639990i
\(257\) −5.41363 + 1.23563i −0.337693 + 0.0770762i −0.388005 0.921657i \(-0.626836\pi\)
0.0503118 + 0.998734i \(0.483978\pi\)
\(258\) −4.68563 2.43647i −0.291715 0.151688i
\(259\) −7.42250 19.2578i −0.461211 1.19662i
\(260\) 0.303016 + 1.84276i 0.0187923 + 0.114283i
\(261\) −9.46484 4.55803i −0.585859 0.282135i
\(262\) −3.59175 + 2.68813i −0.221899 + 0.166073i
\(263\) 8.95783i 0.552363i −0.961105 0.276182i \(-0.910931\pi\)
0.961105 0.276182i \(-0.0890691\pi\)
\(264\) 1.42749 4.35815i 0.0878559 0.268226i
\(265\) 2.63675 0.601821i 0.161974 0.0369695i
\(266\) −8.10306 + 23.1997i −0.496830 + 1.42247i
\(267\) 1.76799 + 0.403533i 0.108200 + 0.0246958i
\(268\) −15.7193 + 11.0282i −0.960211 + 0.673652i
\(269\) 12.2504 + 9.76934i 0.746918 + 0.595647i 0.921219 0.389045i \(-0.127195\pi\)
−0.174301 + 0.984692i \(0.555766\pi\)
\(270\) 0.0692910 0.265694i 0.00421692 0.0161696i
\(271\) −3.68350 + 16.1385i −0.223757 + 0.980341i 0.730866 + 0.682521i \(0.239117\pi\)
−0.954622 + 0.297820i \(0.903741\pi\)
\(272\) −0.549555 + 4.45111i −0.0333216 + 0.269888i
\(273\) −3.82479 + 12.1356i −0.231487 + 0.734479i
\(274\) 14.7257 11.0210i 0.889611 0.665801i
\(275\) 8.04582i 0.485181i
\(276\) −9.04217 8.16754i −0.544275 0.491628i
\(277\) 0.168400 + 0.737810i 0.0101182 + 0.0443307i 0.979735 0.200298i \(-0.0641911\pi\)
−0.969617 + 0.244629i \(0.921334\pi\)
\(278\) −0.367467 + 11.9616i −0.0220392 + 0.717412i
\(279\) 3.10210 3.88991i 0.185718 0.232883i
\(280\) 0.963008 + 1.08796i 0.0575507 + 0.0650183i
\(281\) −6.64513 8.33272i −0.396415 0.497089i 0.543066 0.839690i \(-0.317263\pi\)
−0.939481 + 0.342601i \(0.888692\pi\)
\(282\) −0.911778 + 0.682391i −0.0542956 + 0.0406358i
\(283\) −4.43929 5.56669i −0.263888 0.330906i 0.632180 0.774822i \(-0.282160\pi\)
−0.896068 + 0.443916i \(0.853589\pi\)
\(284\) 7.77822 + 19.0646i 0.461553 + 1.13128i
\(285\) −0.996970 0.795057i −0.0590554 0.0470951i
\(286\) −8.40649 7.13705i −0.497086 0.422023i
\(287\) 6.09977 + 9.06538i 0.360058 + 0.535113i
\(288\) 5.64266 0.400429i 0.332497 0.0235955i
\(289\) −14.1838 + 6.83057i −0.834342 + 0.401798i
\(290\) 0.555212 + 2.83058i 0.0326032 + 0.166217i
\(291\) −7.36697 15.2977i −0.431860 0.896766i
\(292\) 0.336993 5.47966i 0.0197210 0.320673i
\(293\) 3.51162i 0.205151i 0.994725 + 0.102576i \(0.0327083\pi\)
−0.994725 + 0.102576i \(0.967292\pi\)
\(294\) 2.50910 + 9.57624i 0.146334 + 0.558498i
\(295\) 2.53236i 0.147440i
\(296\) 7.70361 + 20.6752i 0.447763 + 1.20172i
\(297\) 0.703494 + 1.46082i 0.0408209 + 0.0847654i
\(298\) −11.7106 + 2.29702i −0.678379 + 0.133063i
\(299\) −26.3982 + 12.7127i −1.52665 + 0.735196i
\(300\) 9.18922 3.74913i 0.530540 0.216456i
\(301\) −2.96998 + 9.42336i −0.171187 + 0.543153i
\(302\) 2.60234 3.06521i 0.149748 0.176383i
\(303\) 5.62535 + 4.48607i 0.323168 + 0.257718i
\(304\) 8.94012 24.7028i 0.512751 1.41681i
\(305\) −1.22764 1.53941i −0.0702946 0.0881466i
\(306\) −0.950107 1.26949i −0.0543140 0.0725717i
\(307\) 5.61522 + 7.04126i 0.320478 + 0.401866i 0.915809 0.401614i \(-0.131551\pi\)
−0.595331 + 0.803480i \(0.702979\pi\)
\(308\) −8.49282 1.21709i −0.483923 0.0693501i
\(309\) −8.71223 + 10.9248i −0.495622 + 0.621490i
\(310\) −1.36550 0.0419487i −0.0775552 0.00238253i
\(311\) 3.93664 + 17.2476i 0.223227 + 0.978020i 0.955031 + 0.296505i \(0.0958212\pi\)
−0.731805 + 0.681515i \(0.761322\pi\)
\(312\) 4.23411 12.9268i 0.239709 0.731837i
\(313\) 21.7956i 1.23196i −0.787761 0.615981i \(-0.788760\pi\)
0.787761 0.615981i \(-0.211240\pi\)
\(314\) 7.12666 + 9.52231i 0.402181 + 0.537375i
\(315\) −0.512013 0.0415215i −0.0288486 0.00233947i
\(316\) 21.9283 15.3842i 1.23357 0.865429i
\(317\) 0.613582 2.68828i 0.0344622 0.150989i −0.954769 0.297347i \(-0.903898\pi\)
0.989232 + 0.146358i \(0.0467553\pi\)
\(318\) −19.0620 4.97122i −1.06894 0.278772i
\(319\) −13.3169 10.6199i −0.745604 0.594599i
\(320\) −1.01639 1.17455i −0.0568180 0.0656596i
\(321\) 4.72270 + 1.07792i 0.263595 + 0.0601639i
\(322\) −12.1170 + 19.3086i −0.675254 + 1.07603i
\(323\) −7.17926 + 1.63862i −0.399465 + 0.0911752i
\(324\) −1.34061 + 1.48417i −0.0744783 + 0.0824540i
\(325\) 23.8649i 1.32379i
\(326\) −11.5097 15.3788i −0.637466 0.851751i
\(327\) −11.1257 5.35786i −0.615253 0.296290i
\(328\) −6.41184 9.76382i −0.354034 0.539117i
\(329\) 1.55295 + 1.45871i 0.0856170 + 0.0804213i
\(330\) 0.205391 0.394993i 0.0113064 0.0217436i
\(331\) −18.5599 + 4.23618i −1.02014 + 0.232841i −0.699708 0.714429i \(-0.746687\pi\)
−0.320436 + 0.947270i \(0.603830\pi\)
\(332\) 9.91812 + 0.609953i 0.544327 + 0.0334755i
\(333\) −7.02819 3.38460i −0.385142 0.185475i
\(334\) 29.0289 + 7.57052i 1.58839 + 0.414241i
\(335\) −1.67951 + 0.808808i −0.0917613 + 0.0441899i
\(336\) −2.56737 10.2669i −0.140061 0.560104i
\(337\) 13.4093 + 6.45757i 0.730450 + 0.351766i 0.761861 0.647740i \(-0.224286\pi\)
−0.0314109 + 0.999507i \(0.510000\pi\)
\(338\) −10.9196 9.27070i −0.593950 0.504260i
\(339\) 0.214912 0.941592i 0.0116724 0.0511402i
\(340\) −0.122756 + 0.417727i −0.00665739 + 0.0226544i
\(341\) 6.30706 5.02971i 0.341546 0.272374i
\(342\) 3.77111 + 8.48812i 0.203919 + 0.458985i
\(343\) 16.8308 7.72806i 0.908780 0.417276i
\(344\) 3.28781 10.0378i 0.177267 0.541199i
\(345\) −0.737519 0.924819i −0.0397067 0.0497906i
\(346\) −14.6546 + 17.2611i −0.787835 + 0.927965i
\(347\) 3.49523 + 0.797764i 0.187634 + 0.0428262i 0.315305 0.948990i \(-0.397893\pi\)
−0.127671 + 0.991817i \(0.540750\pi\)
\(348\) 5.92377 20.1580i 0.317547 1.08058i
\(349\) −12.5764 + 26.1151i −0.673197 + 1.39791i 0.231916 + 0.972736i \(0.425501\pi\)
−0.905113 + 0.425172i \(0.860214\pi\)
\(350\) −9.88735 15.7157i −0.528501 0.840038i
\(351\) 2.08665 + 4.33297i 0.111377 + 0.231277i
\(352\) 9.06404 + 1.40286i 0.483115 + 0.0747727i
\(353\) −0.281598 + 0.584744i −0.0149879 + 0.0311228i −0.908328 0.418258i \(-0.862641\pi\)
0.893341 + 0.449380i \(0.148355\pi\)
\(354\) −8.50962 + 16.3650i −0.452281 + 0.869792i
\(355\) 0.444794 + 1.94877i 0.0236072 + 0.103430i
\(356\) −0.222631 + 3.62008i −0.0117994 + 0.191864i
\(357\) −2.03099 + 2.16221i −0.107491 + 0.114436i
\(358\) −4.63394 + 17.7687i −0.244911 + 0.939105i
\(359\) 4.59151 9.53437i 0.242331 0.503205i −0.743960 0.668225i \(-0.767055\pi\)
0.986290 + 0.165020i \(0.0527688\pi\)
\(360\) 0.546832 + 0.0505239i 0.0288206 + 0.00266284i
\(361\) 24.1348 1.27025
\(362\) 4.57536 2.03275i 0.240476 0.106839i
\(363\) −1.86274 8.16122i −0.0977687 0.428353i
\(364\) −25.1907 3.61004i −1.32035 0.189217i
\(365\) 0.118596 0.519603i 0.00620759 0.0271972i
\(366\) 2.76050 + 14.0736i 0.144294 + 0.735638i
\(367\) 15.0997 18.9345i 0.788200 0.988372i −0.211739 0.977326i \(-0.567913\pi\)
0.999939 0.0110456i \(-0.00351601\pi\)
\(368\) 13.1843 20.4952i 0.687279 1.06839i
\(369\) 4.02628 + 0.918973i 0.209600 + 0.0478398i
\(370\) 0.412277 + 2.10187i 0.0214333 + 0.109271i
\(371\) −2.97892 + 36.7339i −0.154658 + 1.90713i
\(372\) 8.68340 + 4.85965i 0.450214 + 0.251961i
\(373\) 16.9203 0.876100 0.438050 0.898951i \(-0.355669\pi\)
0.438050 + 0.898951i \(0.355669\pi\)
\(374\) −1.04385 2.34952i −0.0539760 0.121491i
\(375\) 1.88576 0.430413i 0.0973804 0.0222264i
\(376\) −1.64258 1.57795i −0.0847097 0.0813763i
\(377\) −39.4996 31.4999i −2.03433 1.62233i
\(378\) 3.16929 + 1.98887i 0.163011 + 0.102296i
\(379\) 3.50687 2.79664i 0.180136 0.143654i −0.529271 0.848453i \(-0.677534\pi\)
0.709407 + 0.704799i \(0.248963\pi\)
\(380\) 1.24551 2.22552i 0.0638933 0.114167i
\(381\) −12.7910 + 10.2005i −0.655303 + 0.522587i
\(382\) 9.28107 + 0.285118i 0.474861 + 0.0145879i
\(383\) 7.86466 9.86197i 0.401865 0.503923i −0.539186 0.842187i \(-0.681268\pi\)
0.941051 + 0.338263i \(0.109839\pi\)
\(384\) 2.62137 + 11.0058i 0.133771 + 0.561639i
\(385\) −0.794377 0.250365i −0.0404852 0.0127598i
\(386\) −0.247621 + 8.06047i −0.0126036 + 0.410267i
\(387\) 1.62030 + 3.36458i 0.0823643 + 0.171031i
\(388\) 27.7992 19.5030i 1.41129 0.990116i
\(389\) −18.9092 + 9.10617i −0.958732 + 0.461701i −0.846739 0.532008i \(-0.821438\pi\)
−0.111993 + 0.993709i \(0.535723\pi\)
\(390\) 0.609216 1.17160i 0.0308489 0.0593261i
\(391\) −6.83097 −0.345457
\(392\) −18.0844 + 8.05934i −0.913402 + 0.407058i
\(393\) 3.17228 0.160021
\(394\) 10.9434 21.0454i 0.551319 1.06025i
\(395\) 2.34290 1.12828i 0.117884 0.0567700i
\(396\) −2.65463 + 1.86240i −0.133400 + 0.0935892i
\(397\) −16.0980 33.4278i −0.807935 1.67769i −0.732724 0.680526i \(-0.761751\pi\)
−0.0752109 0.997168i \(-0.523963\pi\)
\(398\) 0.410431 13.3602i 0.0205730 0.669686i
\(399\) 14.4168 9.70052i 0.721741 0.485634i
\(400\) 10.3809 + 16.9182i 0.519047 + 0.845912i
\(401\) −0.184412 + 0.231245i −0.00920909 + 0.0115478i −0.786415 0.617699i \(-0.788065\pi\)
0.777206 + 0.629247i \(0.216636\pi\)
\(402\) 13.5715 + 0.416921i 0.676884 + 0.0207941i
\(403\) 18.7075 14.9187i 0.931887 0.743155i
\(404\) −7.02773 + 12.5574i −0.349643 + 0.624754i
\(405\) −0.151799 + 0.121055i −0.00754294 + 0.00601530i
\(406\) −39.0621 4.37864i −1.93862 0.217308i
\(407\) −9.88858 7.88588i −0.490159 0.390889i
\(408\) 2.19701 2.28700i 0.108768 0.113223i
\(409\) −26.6364 + 6.07959i −1.31709 + 0.300617i −0.822626 0.568583i \(-0.807492\pi\)
−0.494462 + 0.869200i \(0.664635\pi\)
\(410\) −0.460408 1.03630i −0.0227379 0.0511791i
\(411\) −13.0059 −0.641534
\(412\) −24.3873 13.6483i −1.20148 0.672404i
\(413\) 32.9120 + 10.3729i 1.61949 + 0.510419i
\(414\) 1.65840 + 8.45485i 0.0815059 + 0.415533i
\(415\) 0.940473 + 0.214657i 0.0461660 + 0.0105371i
\(416\) 26.8851 + 4.16106i 1.31815 + 0.204013i
\(417\) 5.27607 6.61598i 0.258370 0.323986i
\(418\) 2.89869 + 14.7781i 0.141779 + 0.722819i
\(419\) −4.97230 + 21.7851i −0.242913 + 1.06427i 0.695438 + 0.718586i \(0.255210\pi\)
−0.938351 + 0.345684i \(0.887647\pi\)
\(420\) −0.0842132 1.02393i −0.00410919 0.0499627i
\(421\) 2.81166 + 12.3187i 0.137032 + 0.600376i 0.996078 + 0.0884778i \(0.0282002\pi\)
−0.859046 + 0.511898i \(0.828943\pi\)
\(422\) −15.4582 + 6.86781i −0.752495 + 0.334320i
\(423\) 0.805294 0.0391547
\(424\) 3.62479 39.2320i 0.176035 1.90527i
\(425\) 2.41407 5.01287i 0.117100 0.243160i
\(426\) 3.67413 14.0883i 0.178012 0.682582i
\(427\) 25.0357 9.64947i 1.21156 0.466971i
\(428\) −0.594695 + 9.67003i −0.0287457 + 0.467418i
\(429\) 1.73514 + 7.60214i 0.0837733 + 0.367035i
\(430\) 0.473060 0.909753i 0.0228130 0.0438722i
\(431\) 12.8779 26.7411i 0.620304 1.28808i −0.319896 0.947453i \(-0.603648\pi\)
0.940200 0.340623i \(-0.110638\pi\)
\(432\) −3.36406 2.16405i −0.161853 0.104118i
\(433\) 3.61279 + 7.50204i 0.173620 + 0.360525i 0.969561 0.244848i \(-0.0787382\pi\)
−0.795942 + 0.605373i \(0.793024\pi\)
\(434\) 6.13849 17.5750i 0.294657 0.843627i
\(435\) 0.884977 1.83767i 0.0424314 0.0881097i
\(436\) 6.96326 23.6953i 0.333480 1.13480i
\(437\) 39.0099 + 8.90376i 1.86610 + 0.425924i
\(438\) −2.51246 + 2.95934i −0.120050 + 0.141403i
\(439\) 2.19633 + 2.75411i 0.104825 + 0.131446i 0.831477 0.555560i \(-0.187496\pi\)
−0.726652 + 0.687006i \(0.758925\pi\)
\(440\) 0.846170 + 0.277158i 0.0403395 + 0.0132130i
\(441\) 2.63692 6.48434i 0.125568 0.308778i
\(442\) −3.09618 6.96896i −0.147270 0.331480i
\(443\) −18.0981 + 14.4328i −0.859867 + 0.685721i −0.950689 0.310146i \(-0.899622\pi\)
0.0908217 + 0.995867i \(0.471051\pi\)
\(444\) 4.39874 14.9685i 0.208755 0.710372i
\(445\) −0.0783492 + 0.343270i −0.00371411 + 0.0162726i
\(446\) −3.14764 2.67233i −0.149045 0.126538i
\(447\) 7.60279 + 3.66131i 0.359600 + 0.173174i
\(448\) 19.4285 8.39845i 0.917910 0.396789i
\(449\) 29.9645 14.4302i 1.41411 0.681001i 0.438143 0.898905i \(-0.355636\pi\)
0.975970 + 0.217904i \(0.0699219\pi\)
\(450\) −6.79063 1.77095i −0.320113 0.0834832i
\(451\) 6.03294 + 2.90531i 0.284080 + 0.136806i
\(452\) 1.92797 + 0.118568i 0.0906841 + 0.00557697i
\(453\) −2.77193 + 0.632674i −0.130237 + 0.0297256i
\(454\) 7.55846 14.5358i 0.354736 0.682201i
\(455\) −2.35622 0.742614i −0.110461 0.0348143i
\(456\) −15.5275 + 10.1968i −0.727142 + 0.477509i
\(457\) 21.3851 + 10.2985i 1.00035 + 0.481744i 0.861058 0.508507i \(-0.169802\pi\)
0.139294 + 0.990251i \(0.455517\pi\)
\(458\) 5.06734 + 6.77074i 0.236781 + 0.316376i
\(459\) 1.12123i 0.0523344i
\(460\) 1.58579 1.75561i 0.0739380 0.0818557i
\(461\) 14.3664 3.27903i 0.669109 0.152720i 0.125545 0.992088i \(-0.459932\pi\)
0.543563 + 0.839368i \(0.317075\pi\)
\(462\) 4.29224 + 4.28734i 0.199693 + 0.199465i
\(463\) −7.08091 1.61617i −0.329078 0.0751099i 0.0547899 0.998498i \(-0.482551\pi\)
−0.383868 + 0.923388i \(0.625408\pi\)
\(464\) 41.7040 + 5.14897i 1.93606 + 0.239035i
\(465\) 0.755257 + 0.602297i 0.0350242 + 0.0279309i
\(466\) 10.2994 + 2.68600i 0.477110 + 0.124427i
\(467\) 5.62685 24.6528i 0.260380 1.14080i −0.660462 0.750860i \(-0.729639\pi\)
0.920841 0.389938i \(-0.127504\pi\)
\(468\) −7.87396 + 5.52411i −0.363974 + 0.255352i
\(469\) −3.63222 25.1409i −0.167720 1.16090i
\(470\) −0.132492 0.177029i −0.00611138 0.00816574i
\(471\) 8.41022i 0.387523i
\(472\) −35.0578 11.4830i −1.61367 0.528548i
\(473\) 1.34735 + 5.90311i 0.0619511 + 0.271425i
\(474\) −18.9321 0.581602i −0.869580 0.0267139i
\(475\) −20.3201 + 25.4806i −0.932351 + 1.16913i
\(476\) −4.92619 3.30648i −0.225792 0.151552i
\(477\) 8.68501 + 10.8907i 0.397659 + 0.498649i
\(478\) 3.77830 + 5.04838i 0.172815 + 0.230907i
\(479\) 22.0968 + 27.7085i 1.00963 + 1.26604i 0.963671 + 0.267092i \(0.0860628\pi\)
0.0459587 + 0.998943i \(0.485366\pi\)
\(480\) 0.0777465 + 1.09557i 0.00354863 + 0.0500056i
\(481\) −29.3308 23.3905i −1.33737 1.06651i
\(482\) −11.2399 + 13.2391i −0.511962 + 0.603023i
\(483\) 15.0405 5.79702i 0.684366 0.263774i
\(484\) 15.5017 6.32456i 0.704620 0.287480i
\(485\) 2.97017 1.43036i 0.134868 0.0649491i
\(486\) 1.38777 0.272208i 0.0629505 0.0123476i
\(487\) 1.98655 + 4.12512i 0.0900194 + 0.186927i 0.941118 0.338079i \(-0.109777\pi\)
−0.851098 + 0.525006i \(0.824063\pi\)
\(488\) −26.8783 + 10.0149i −1.21672 + 0.453354i
\(489\) 13.5827i 0.614232i
\(490\) −1.85930 + 0.487162i −0.0839947 + 0.0220078i
\(491\) 32.7911i 1.47984i −0.672694 0.739921i \(-0.734863\pi\)
0.672694 0.739921i \(-0.265137\pi\)
\(492\) −0.507001 + 8.24408i −0.0228574 + 0.371672i
\(493\) −5.11058 10.6122i −0.230169 0.477951i
\(494\) 8.59786 + 43.8336i 0.386836 + 1.97217i
\(495\) −0.283630 + 0.136589i −0.0127482 + 0.00613922i
\(496\) −6.77261 + 18.7137i −0.304099 + 0.840270i
\(497\) −27.1493 2.20166i −1.21781 0.0987580i
\(498\) −5.35636 4.54752i −0.240024 0.203779i
\(499\) 7.85186 + 6.26165i 0.351497 + 0.280310i 0.783282 0.621667i \(-0.213544\pi\)
−0.431784 + 0.901977i \(0.642116\pi\)
\(500\) 1.46138 + 3.58187i 0.0653548 + 0.160186i
\(501\) −13.2261 16.5851i −0.590901 0.740966i
\(502\) 0.139371 0.104308i 0.00622042 0.00465547i
\(503\) 26.0534 + 32.6700i 1.16167 + 1.45668i 0.865051 + 0.501685i \(0.167286\pi\)
0.296615 + 0.954997i \(0.404142\pi\)
\(504\) −2.89655 + 6.90000i −0.129023 + 0.307350i
\(505\) −0.871005 + 1.09221i −0.0387592 + 0.0486025i
\(506\) −0.428956 + 13.9632i −0.0190694 + 0.620741i
\(507\) 2.25387 + 9.87483i 0.100098 + 0.438557i
\(508\) −24.2815 21.9328i −1.07732 0.973111i
\(509\) 40.9427i 1.81476i 0.420316 + 0.907378i \(0.361919\pi\)
−0.420316 + 0.907378i \(0.638081\pi\)
\(510\) 0.246481 0.184471i 0.0109144 0.00816850i
\(511\) 6.26727 + 3.66971i 0.277248 + 0.162339i
\(512\) −20.8693 + 8.74483i −0.922302 + 0.386471i
\(513\) 1.46145 6.40304i 0.0645247 0.282701i
\(514\) −1.98170 + 7.59876i −0.0874091 + 0.335167i
\(515\) −2.12113 1.69155i −0.0934684 0.0745385i
\(516\) −6.11418 + 4.28951i −0.269162 + 0.188835i
\(517\) 1.27296 + 0.290544i 0.0559846 + 0.0127781i
\(518\) −29.0059 3.25139i −1.27445 0.142858i
\(519\) 15.6096 3.56278i 0.685184 0.156389i
\(520\) 2.50984 + 0.822086i 0.110064 + 0.0360508i
\(521\) 1.39457i 0.0610973i −0.999533 0.0305486i \(-0.990275\pi\)
0.999533 0.0305486i \(-0.00972545\pi\)
\(522\) −11.8943 + 8.90189i −0.520598 + 0.389625i
\(523\) −28.4464 13.6990i −1.24387 0.599018i −0.308010 0.951383i \(-0.599663\pi\)
−0.935862 + 0.352366i \(0.885377\pi\)
\(524\) 1.02945 + 6.26049i 0.0449719 + 0.273491i
\(525\) −1.06121 + 13.0861i −0.0463150 + 0.571122i
\(526\) −11.2396 5.84444i −0.490068 0.254830i
\(527\) 5.43867 1.24134i 0.236912 0.0540736i
\(528\) −4.53691 4.63453i −0.197444 0.201692i
\(529\) 12.7193 + 6.12531i 0.553014 + 0.266318i
\(530\) 0.965201 3.70103i 0.0419257 0.160763i
\(531\) 11.7511 5.65905i 0.509956 0.245582i
\(532\) 23.8224 + 25.3035i 1.03283 + 1.09704i
\(533\) 17.8944 + 8.61751i 0.775094 + 0.373266i
\(534\) 1.65983 1.95506i 0.0718279 0.0846036i
\(535\) −0.209288 + 0.916949i −0.00904829 + 0.0396431i
\(536\) 3.58135 + 26.9186i 0.154691 + 1.16270i
\(537\) 10.1518 8.09577i 0.438081 0.349358i
\(538\) 20.2504 8.99688i 0.873057 0.387883i
\(539\) 6.50778 9.29865i 0.280310 0.400521i
\(540\) −0.288164 0.260290i −0.0124006 0.0112011i
\(541\) 1.37573 + 1.72511i 0.0591471 + 0.0741681i 0.810525 0.585704i \(-0.199182\pi\)
−0.751378 + 0.659872i \(0.770610\pi\)
\(542\) 17.8460 + 15.1511i 0.766551 + 0.650796i
\(543\) −3.45144 0.787768i −0.148115 0.0338063i
\(544\) 5.22635 + 3.59362i 0.224078 + 0.154075i
\(545\) 1.04027 2.16014i 0.0445603 0.0925304i
\(546\) 12.7313 + 12.7168i 0.544850 + 0.544228i
\(547\) −3.57896 7.43179i −0.153025 0.317760i 0.810337 0.585964i \(-0.199284\pi\)
−0.963362 + 0.268204i \(0.913570\pi\)
\(548\) −4.22061 25.6671i −0.180296 1.09645i
\(549\) 4.40008 9.13686i 0.187791 0.389952i
\(550\) −10.0953 5.24941i −0.430463 0.223836i
\(551\) 15.3528 + 67.2651i 0.654052 + 2.86559i
\(552\) −16.1474 + 6.01657i −0.687281 + 0.256082i
\(553\) 5.06692 + 35.0713i 0.215467 + 1.49138i
\(554\) 1.03562 + 0.270081i 0.0439991 + 0.0114746i
\(555\) 0.657146 1.36458i 0.0278943 0.0579231i
\(556\) 14.7688 + 8.26532i 0.626336 + 0.350528i
\(557\) 21.3934 0.906468 0.453234 0.891392i \(-0.350270\pi\)
0.453234 + 0.891392i \(0.350270\pi\)
\(558\) −2.85682 6.43020i −0.120939 0.272212i
\(559\) 3.99640 + 17.5094i 0.169030 + 0.740567i
\(560\) 1.99339 0.498475i 0.0842363 0.0210644i
\(561\) −0.404531 + 1.77236i −0.0170793 + 0.0748293i
\(562\) −14.7908 + 2.90118i −0.623911 + 0.122379i
\(563\) 25.5086 31.9868i 1.07506 1.34808i 0.141390 0.989954i \(-0.454843\pi\)
0.933672 0.358130i \(-0.116586\pi\)
\(564\) 0.261330 + 1.58925i 0.0110040 + 0.0669193i
\(565\) 0.182818 + 0.0417269i 0.00769119 + 0.00175546i
\(566\) −9.88101 + 1.93814i −0.415330 + 0.0814660i
\(567\) −0.951516 2.46873i −0.0399599 0.103677i
\(568\) 28.9956 + 2.67901i 1.21663 + 0.112409i
\(569\) −11.6024 −0.486399 −0.243200 0.969976i \(-0.578197\pi\)
−0.243200 + 0.969976i \(0.578197\pi\)
\(570\) −1.64804 + 0.732192i −0.0690286 + 0.0306681i
\(571\) −35.7076 + 8.15002i −1.49431 + 0.341068i −0.890104 0.455757i \(-0.849369\pi\)
−0.604211 + 0.796825i \(0.706511\pi\)
\(572\) −14.4397 + 5.89130i −0.603755 + 0.246328i
\(573\) −5.13335 4.09371i −0.214449 0.171017i
\(574\) 15.3542 1.73889i 0.640874 0.0725800i
\(575\) −23.6366 + 18.8496i −0.985715 + 0.786081i
\(576\) 3.17907 7.34122i 0.132461 0.305884i
\(577\) −8.97703 + 7.15894i −0.373719 + 0.298031i −0.792280 0.610158i \(-0.791106\pi\)
0.418561 + 0.908189i \(0.362535\pi\)
\(578\) −0.683629 + 22.2533i −0.0284352 + 0.925613i
\(579\) 3.55533 4.45824i 0.147754 0.185278i
\(580\) 3.91383 + 1.15015i 0.162513 + 0.0477572i
\(581\) −6.64213 + 11.3437i −0.275562 + 0.470615i
\(582\) −24.0008 0.737314i −0.994866 0.0305627i
\(583\) 9.79945 + 20.3488i 0.405852 + 0.842759i
\(584\) −6.65558 3.99798i −0.275410 0.165438i
\(585\) −0.841281 + 0.405140i −0.0347827 + 0.0167505i
\(586\) 4.40610 + 2.29112i 0.182014 + 0.0946453i
\(587\) 28.4578 1.17458 0.587290 0.809376i \(-0.300195\pi\)
0.587290 + 0.809376i \(0.300195\pi\)
\(588\) 13.6525 + 3.09969i 0.563021 + 0.127829i
\(589\) −32.6768 −1.34643
\(590\) −3.17740 1.65221i −0.130812 0.0680204i
\(591\) −15.1120 + 7.27754i −0.621623 + 0.299358i
\(592\) 30.9677 + 3.82341i 1.27276 + 0.157141i
\(593\) −4.06599 8.44312i −0.166970 0.346718i 0.800648 0.599135i \(-0.204489\pi\)
−0.967618 + 0.252417i \(0.918774\pi\)
\(594\) 2.29191 + 0.0704083i 0.0940381 + 0.00288889i
\(595\) −0.419809 0.394333i −0.0172105 0.0161661i
\(596\) −4.75837 + 16.1922i −0.194910 + 0.663260i
\(597\) −5.89294 + 7.38952i −0.241182 + 0.302433i
\(598\) −1.27234 + 41.4167i −0.0520297 + 1.69365i
\(599\) 21.8117 17.3943i 0.891203 0.710711i −0.0667092 0.997772i \(-0.521250\pi\)
0.957912 + 0.287062i \(0.0926785\pi\)
\(600\) 1.29129 13.9760i 0.0527169 0.570567i
\(601\) 10.4282 8.31619i 0.425374 0.339224i −0.387289 0.921958i \(-0.626588\pi\)
0.812663 + 0.582734i \(0.198017\pi\)
\(602\) 9.88595 + 9.87466i 0.402921 + 0.402461i
\(603\) −7.50637 5.98613i −0.305683 0.243774i
\(604\) −2.14811 5.26508i −0.0874055 0.214233i
\(605\) 1.58457 0.361667i 0.0644217 0.0147038i
\(606\) 9.29896 4.13135i 0.377744 0.167825i
\(607\) −18.0976 −0.734558 −0.367279 0.930111i \(-0.619711\pi\)
−0.367279 + 0.930111i \(0.619711\pi\)
\(608\) −25.1623 27.3345i −1.02046 1.10856i
\(609\) 20.2585 + 19.0291i 0.820915 + 0.771097i
\(610\) −2.73250 + 0.535973i −0.110636 + 0.0217009i
\(611\) 3.77575 + 0.861791i 0.152751 + 0.0348643i
\(612\) −2.21274 + 0.363855i −0.0894446 + 0.0147080i
\(613\) 15.8309 19.8513i 0.639403 0.801786i −0.351525 0.936178i \(-0.614337\pi\)
0.990928 + 0.134393i \(0.0429083\pi\)
\(614\) 12.4984 2.45153i 0.504395 0.0989359i
\(615\) −0.178426 + 0.781735i −0.00719483 + 0.0315226i
\(616\) −7.06815 + 9.86203i −0.284784 + 0.397353i
\(617\) −3.72839 16.3352i −0.150099 0.657629i −0.992854 0.119332i \(-0.961925\pi\)
0.842755 0.538297i \(-0.180932\pi\)
\(618\) 8.02336 + 18.0592i 0.322747 + 0.726447i
\(619\) −31.1807 −1.25326 −0.626629 0.779318i \(-0.715566\pi\)
−0.626629 + 0.779318i \(0.715566\pi\)
\(620\) −0.943540 + 1.68595i −0.0378935 + 0.0677094i
\(621\) 2.64340 5.48907i 0.106076 0.220269i
\(622\) 24.2093 + 6.31360i 0.970704 + 0.253152i
\(623\) −4.14041 2.42436i −0.165882 0.0971299i
\(624\) −13.4570 13.7466i −0.538713 0.550304i
\(625\) −5.43751 23.8233i −0.217501 0.952932i
\(626\) −27.3474 14.2203i −1.09302 0.568359i
\(627\) 4.62034 9.59424i 0.184519 0.383157i
\(628\) 16.5975 2.72924i 0.662314 0.108909i
\(629\) −3.79490 7.88020i −0.151313 0.314204i
\(630\) −0.386155 + 0.615343i −0.0153848 + 0.0245158i
\(631\) −5.05742 + 10.5018i −0.201333 + 0.418072i −0.977050 0.213008i \(-0.931674\pi\)
0.775718 + 0.631080i \(0.217388\pi\)
\(632\) −4.99596 37.5512i −0.198729 1.49371i
\(633\) 11.6610 + 2.66154i 0.463482 + 0.105787i
\(634\) −2.97271 2.52381i −0.118061 0.100233i
\(635\) −1.98051 2.48348i −0.0785940 0.0985538i
\(636\) −18.6743 + 20.6740i −0.740483 + 0.819778i
\(637\) 19.3029 27.5809i 0.764808 1.09280i
\(638\) −22.0135 + 9.78017i −0.871521 + 0.387201i
\(639\) −8.04907 + 6.41892i −0.318416 + 0.253929i
\(640\) −2.13687 + 0.508961i −0.0844672 + 0.0201184i
\(641\) 8.65120 37.9034i 0.341702 1.49709i −0.453778 0.891115i \(-0.649924\pi\)
0.795480 0.605979i \(-0.207219\pi\)
\(642\) 4.43377 5.22238i 0.174987 0.206111i
\(643\) −20.9123 10.0709i −0.824702 0.397156i −0.0265767 0.999647i \(-0.508461\pi\)
−0.798126 + 0.602491i \(0.794175\pi\)
\(644\) 16.3213 + 27.8011i 0.643148 + 1.09552i
\(645\) −0.653260 + 0.314594i −0.0257221 + 0.0123871i
\(646\) −2.62802 + 10.0771i −0.103398 + 0.396477i
\(647\) −32.4062 15.6060i −1.27402 0.613536i −0.330173 0.943920i \(-0.607107\pi\)
−0.943846 + 0.330385i \(0.892821\pi\)
\(648\) 0.987553 + 2.65042i 0.0387947 + 0.104118i
\(649\) 20.6172 4.70574i 0.809296 0.184716i
\(650\) −29.9438 15.5704i −1.17449 0.610721i
\(651\) −10.9215 + 7.34866i −0.428046 + 0.288017i
\(652\) −26.8055 + 4.40780i −1.04978 + 0.172623i
\(653\) 29.9551 + 14.4256i 1.17223 + 0.564518i 0.915639 0.402001i \(-0.131685\pi\)
0.256595 + 0.966519i \(0.417399\pi\)
\(654\) −13.9815 + 10.4640i −0.546719 + 0.409174i
\(655\) 0.615924i 0.0240661i
\(656\) −16.4342 + 1.67476i −0.641648 + 0.0653885i
\(657\) 2.67619 0.610822i 0.104408 0.0238304i
\(658\) 2.84348 0.996801i 0.110850 0.0388593i
\(659\) −21.4918 4.90536i −0.837202 0.191086i −0.217635 0.976030i \(-0.569834\pi\)
−0.619566 + 0.784944i \(0.712691\pi\)
\(660\) −0.361600 0.515418i −0.0140753 0.0200626i
\(661\) 9.04876 + 7.21614i 0.351956 + 0.280676i 0.783469 0.621431i \(-0.213449\pi\)
−0.431513 + 0.902107i \(0.642020\pi\)
\(662\) −6.79399 + 26.0513i −0.264056 + 1.01251i
\(663\) −1.19989 + 5.25705i −0.0465998 + 0.204167i
\(664\) 7.23629 12.0465i 0.280822 0.467495i
\(665\) 1.88343 + 2.79913i 0.0730364 + 0.108546i
\(666\) −8.83219 + 6.61017i −0.342240 + 0.256139i
\(667\) 64.0018i 2.47816i
\(668\) 28.4385 31.4839i 1.10032 1.21815i
\(669\) 0.649689 + 2.84647i 0.0251184 + 0.110051i
\(670\) −0.0809485 + 2.63501i −0.00312731 + 0.101799i
\(671\) 10.2519 12.8555i 0.395770 0.496279i
\(672\) −14.5571 3.47718i −0.561552 0.134135i
\(673\) 10.9357 + 13.7130i 0.421541 + 0.528595i 0.946574 0.322486i \(-0.104519\pi\)
−0.525033 + 0.851082i \(0.675947\pi\)
\(674\) 16.8512 12.6117i 0.649084 0.485786i
\(675\) 3.09395 + 3.87968i 0.119086 + 0.149329i
\(676\) −18.7565 + 7.65253i −0.721405 + 0.294328i
\(677\) 17.5635 + 14.0065i 0.675022 + 0.538312i 0.899912 0.436072i \(-0.143631\pi\)
−0.224890 + 0.974384i \(0.572202\pi\)
\(678\) −1.04122 0.883986i −0.0399877 0.0339493i
\(679\) 6.42349 + 44.4610i 0.246511 + 1.70626i
\(680\) 0.444039 + 0.426566i 0.0170281 + 0.0163581i
\(681\) −10.4377 + 5.02651i −0.399972 + 0.192616i
\(682\) −2.19591 11.1952i −0.0840857 0.428685i
\(683\) −4.08266 8.47772i −0.156218 0.324391i 0.808140 0.588991i \(-0.200475\pi\)
−0.964358 + 0.264600i \(0.914760\pi\)
\(684\) 13.1106 + 0.806289i 0.501298 + 0.0308292i
\(685\) 2.52520i 0.0964829i
\(686\) 1.28455 26.1601i 0.0490443 0.998797i
\(687\) 5.98000i 0.228151i
\(688\) −10.4495 10.6743i −0.398383 0.406954i
\(689\) 29.0664 + 60.3569i 1.10734 + 2.29942i
\(690\) −1.64158 + 0.321991i −0.0624937 + 0.0122580i
\(691\) −8.71265 + 4.19579i −0.331445 + 0.159615i −0.592203 0.805789i \(-0.701742\pi\)
0.260758 + 0.965404i \(0.416027\pi\)
\(692\) 12.0967 + 29.6492i 0.459847 + 1.12710i
\(693\) −0.613398 4.24571i −0.0233010 0.161281i
\(694\) 3.28140 3.86505i 0.124560 0.146715i
\(695\) 1.28454 + 1.02439i 0.0487256 + 0.0388573i
\(696\) −21.4277 20.5845i −0.812216 0.780254i
\(697\) 2.88705 + 3.62025i 0.109355 + 0.137127i
\(698\) 24.5618 + 32.8183i 0.929678 + 1.24219i
\(699\) −4.69261 5.88434i −0.177491 0.222566i
\(700\) −26.1697 + 2.15233i −0.989121 + 0.0813504i
\(701\) 16.2526 20.3801i 0.613851 0.769744i −0.373614 0.927584i \(-0.621882\pi\)
0.987465 + 0.157840i \(0.0504530\pi\)
\(702\) 6.79808 + 0.208840i 0.256577 + 0.00788215i
\(703\) 11.4004 + 49.9482i 0.429972 + 1.88383i
\(704\) 7.67393 10.4576i 0.289222 0.394134i
\(705\) 0.156354i 0.00588864i
\(706\) 0.549964 + 0.734836i 0.0206982 + 0.0276559i
\(707\) −10.6272 15.7939i −0.399676 0.593992i
\(708\) 14.9815 + 21.3544i 0.563040 + 0.802547i
\(709\) −6.88496 + 30.1650i −0.258570 + 1.13287i 0.664211 + 0.747545i \(0.268768\pi\)
−0.922781 + 0.385324i \(0.874090\pi\)
\(710\) 2.73536 + 0.713361i 0.102656 + 0.0267720i
\(711\) 10.4713 + 8.35061i 0.392706 + 0.313172i
\(712\) 4.39694 + 2.64122i 0.164782 + 0.0989841i
\(713\) −29.5521 6.74506i −1.10673 0.252605i
\(714\) 1.38786 + 3.95903i 0.0519395 + 0.148163i
\(715\) −1.47602 + 0.336891i −0.0551999 + 0.0125990i
\(716\) 19.2714 + 17.4073i 0.720205 + 0.650541i
\(717\) 4.45879i 0.166517i
\(718\) −8.96729 11.9817i −0.334656 0.447152i
\(719\) −26.8905 12.9498i −1.00285 0.482945i −0.140943 0.990018i \(-0.545013\pi\)
−0.861903 + 0.507072i \(0.830728\pi\)
\(720\) 0.420168 0.653158i 0.0156587 0.0243418i
\(721\) 30.6729 20.6387i 1.14232 0.768624i
\(722\) 15.7465 30.2824i 0.586023 1.12699i
\(723\) 11.9723 2.73261i 0.445256 0.101627i
\(724\) 0.434615 7.06704i 0.0161523 0.262644i
\(725\) −46.9674 22.6183i −1.74432 0.840023i
\(726\) −11.4554 2.98748i −0.425149 0.110876i
\(727\) 18.9489 9.12532i 0.702777 0.338439i −0.0481361 0.998841i \(-0.515328\pi\)
0.750913 + 0.660401i \(0.229614\pi\)
\(728\) −20.9650 + 29.2520i −0.777015 + 1.08415i
\(729\) −0.900969 0.433884i −0.0333692 0.0160698i
\(730\) −0.574579 0.487814i −0.0212661 0.0180548i
\(731\) −0.931721 + 4.08214i −0.0344609 + 0.150983i
\(732\) 19.4595 + 5.71850i 0.719242 + 0.211362i
\(733\) 20.3280 16.2110i 0.750832 0.598769i −0.171492 0.985186i \(-0.554859\pi\)
0.922324 + 0.386417i \(0.126287\pi\)
\(734\) −13.9058 31.2996i −0.513273 1.15529i
\(735\) 1.25899 + 0.511979i 0.0464384 + 0.0188846i
\(736\) −17.1138 29.9145i −0.630822 1.10266i
\(737\) −9.70584 12.1707i −0.357519 0.448315i
\(738\) 3.77996 4.45229i 0.139142 0.163891i
\(739\) 3.45730 + 0.789107i 0.127179 + 0.0290278i 0.285637 0.958338i \(-0.407795\pi\)
−0.158458 + 0.987366i \(0.550652\pi\)
\(740\) 2.90625 + 0.854050i 0.106836 + 0.0313955i
\(741\) 13.7045 28.4577i 0.503448 1.04542i
\(742\) 44.1472 + 27.7043i 1.62069 + 1.01706i
\(743\) −7.07758 14.6967i −0.259651 0.539171i 0.729865 0.683591i \(-0.239583\pi\)
−0.989517 + 0.144420i \(0.953868\pi\)
\(744\) 11.7629 7.72462i 0.431249 0.283198i
\(745\) −0.710873 + 1.47614i −0.0260444 + 0.0540817i
\(746\) 11.0395 21.2302i 0.404184 0.777294i
\(747\) 1.10558 + 4.84386i 0.0404510 + 0.177228i
\(748\) −3.62903 0.223181i −0.132691 0.00816032i
\(749\) −11.0599 6.47599i −0.404121 0.236627i
\(750\) 0.690298 2.64692i 0.0252061 0.0966520i
\(751\) 5.11587 10.6232i 0.186681 0.387647i −0.786533 0.617548i \(-0.788126\pi\)
0.973214 + 0.229901i \(0.0738404\pi\)
\(752\) −3.05157 + 1.03147i −0.111279 + 0.0376138i
\(753\) −0.123094 −0.00448579
\(754\) −65.2947 + 29.0092i −2.37789 + 1.05645i
\(755\) −0.122839 0.538192i −0.00447056 0.0195868i
\(756\) 4.56325 2.67895i 0.165964 0.0974326i
\(757\) −5.52051 + 24.1869i −0.200646 + 0.879089i 0.769898 + 0.638167i \(0.220307\pi\)
−0.970545 + 0.240922i \(0.922550\pi\)
\(758\) −1.22098 6.22478i −0.0443479 0.226094i
\(759\) 6.15893 7.72305i 0.223555 0.280329i
\(760\) −1.97979 3.01479i −0.0718145 0.109358i
\(761\) −6.26459 1.42985i −0.227091 0.0518321i 0.107461 0.994209i \(-0.465728\pi\)
−0.334552 + 0.942377i \(0.608585\pi\)
\(762\) 4.45341 + 22.7043i 0.161330 + 0.822492i
\(763\) 23.8134 + 22.3683i 0.862103 + 0.809785i
\(764\) 6.41308 11.4591i 0.232017 0.414577i
\(765\) −0.217695 −0.00787078
\(766\) −7.24281 16.3023i −0.261693 0.589026i
\(767\) 61.1532 13.9578i 2.20811 0.503987i
\(768\) 15.5195 + 3.89155i 0.560013 + 0.140424i
\(769\) −4.68472 3.73594i −0.168935 0.134721i 0.535373 0.844616i \(-0.320171\pi\)
−0.704308 + 0.709895i \(0.748743\pi\)
\(770\) −0.832421 + 0.833373i −0.0299984 + 0.0300327i
\(771\) 4.34140 3.46215i 0.156352 0.124686i
\(772\) 9.95207 + 5.56966i 0.358183 + 0.200456i
\(773\) −39.9151 + 31.8313i −1.43565 + 1.14489i −0.470749 + 0.882267i \(0.656016\pi\)
−0.964898 + 0.262624i \(0.915412\pi\)
\(774\) 5.27876 + 0.162165i 0.189741 + 0.00582892i
\(775\) 15.3936 19.3029i 0.552953 0.693381i
\(776\) −6.33353 47.6048i −0.227361 1.70891i
\(777\) 15.0431 + 14.1302i 0.539668 + 0.506918i
\(778\) −0.911380 + 29.6669i −0.0326745 + 1.06361i
\(779\) −11.7684 24.4374i −0.421648 0.875561i
\(780\) −1.07255 1.52879i −0.0384035 0.0547395i
\(781\) −15.0394 + 7.24258i −0.538151 + 0.259160i
\(782\) −4.45679 + 8.57095i −0.159375 + 0.306497i
\(783\) 10.5052 0.375424
\(784\) −1.68678 + 27.9491i −0.0602421 + 0.998184i
\(785\) 1.63291 0.0582811
\(786\) 2.06972 3.98033i 0.0738245 0.141974i
\(787\) 19.5706 9.42469i 0.697615 0.335954i −0.0512410 0.998686i \(-0.516318\pi\)
0.748856 + 0.662733i \(0.230603\pi\)
\(788\) −19.2663 27.4617i −0.686332 0.978284i
\(789\) 3.88666 + 8.07072i 0.138369 + 0.287325i
\(790\) 0.112923 3.67582i 0.00401760 0.130780i
\(791\) −1.29116 + 2.20508i −0.0459082 + 0.0784037i
\(792\) 0.604808 + 4.54592i 0.0214909 + 0.161532i
\(793\) 30.4084 38.1309i 1.07983 1.35407i
\(794\) −52.4455 1.61115i −1.86122 0.0571775i
\(795\) −2.11451 + 1.68626i −0.0749939 + 0.0598056i
\(796\) −16.4955 9.23170i −0.584669 0.327209i
\(797\) 33.1860 26.4649i 1.17551 0.937436i 0.176605 0.984282i \(-0.443488\pi\)
0.998902 + 0.0468459i \(0.0149170\pi\)
\(798\) −2.76538 24.4180i −0.0978934 0.864388i
\(799\) 0.705930 + 0.562960i 0.0249740 + 0.0199161i
\(800\) 28.0006 1.98705i 0.989971 0.0702529i
\(801\) −1.76799 + 0.403533i −0.0624690 + 0.0142581i
\(802\) 0.169831 + 0.382259i 0.00599692 + 0.0134980i
\(803\) 4.45072 0.157063
\(804\) 9.37768 16.7564i 0.330725 0.590952i
\(805\) 1.12554 + 2.92023i 0.0396700 + 0.102925i
\(806\) −6.51333 33.2063i −0.229422 1.16964i
\(807\) −15.2760 3.48664i −0.537739 0.122735i
\(808\) 11.1709 + 17.0108i 0.392990 + 0.598437i
\(809\) −4.34919 + 5.45371i −0.152909 + 0.191742i −0.852386 0.522913i \(-0.824845\pi\)
0.699477 + 0.714656i \(0.253417\pi\)
\(810\) 0.0528513 + 0.269446i 0.00185701 + 0.00946738i
\(811\) 9.19290 40.2767i 0.322806 1.41431i −0.509729 0.860335i \(-0.670254\pi\)
0.832536 0.553972i \(-0.186888\pi\)
\(812\) −30.9796 + 46.1552i −1.08717 + 1.61973i
\(813\) −3.68350 16.1385i −0.129186 0.566000i
\(814\) −16.3463 + 7.26234i −0.572936 + 0.254545i
\(815\) −2.63719 −0.0923768
\(816\) −1.43613 4.24876i −0.0502747 0.148736i
\(817\) 10.6416 22.0976i 0.372304 0.773097i
\(818\) −9.75047 + 37.3879i −0.340917 + 1.30724i
\(819\) −1.81941 12.5933i −0.0635754 0.440046i
\(820\) −1.60065 0.0984383i −0.0558972 0.00343761i
\(821\) −5.69088 24.9334i −0.198613 0.870180i −0.971763 0.235957i \(-0.924177\pi\)
0.773150 0.634223i \(-0.218680\pi\)
\(822\) −8.48557 + 16.3188i −0.295968 + 0.569183i
\(823\) −2.59248 + 5.38333i −0.0903680 + 0.187651i −0.941254 0.337699i \(-0.890351\pi\)
0.850886 + 0.525350i \(0.176066\pi\)
\(824\) −33.0360 + 21.6945i −1.15086 + 0.755765i
\(825\) 3.49095 + 7.24903i 0.121539 + 0.252379i
\(826\) 34.4882 34.5277i 1.20000 1.20137i
\(827\) 7.68871 15.9658i 0.267362 0.555184i −0.723458 0.690368i \(-0.757448\pi\)
0.990820 + 0.135185i \(0.0431627\pi\)
\(828\) 11.6905 + 3.43545i 0.406272 + 0.119390i
\(829\) −49.5032 11.2988i −1.71932 0.392423i −0.754699 0.656072i \(-0.772217\pi\)
−0.964619 + 0.263649i \(0.915074\pi\)
\(830\) 0.882936 1.03998i 0.0306472 0.0360983i
\(831\) −0.471847 0.591678i −0.0163682 0.0205251i
\(832\) 22.7618 31.0184i 0.789125 1.07537i
\(833\) 6.84458 3.84084i 0.237151 0.133077i
\(834\) −4.85889 10.9365i −0.168250 0.378700i
\(835\) 3.22012 2.56796i 0.111437 0.0888680i
\(836\) 20.4336 + 6.00476i 0.706710 + 0.207679i
\(837\) −1.10713 + 4.85064i −0.0382679 + 0.167663i
\(838\) 24.0900 + 20.4523i 0.832177 + 0.706512i
\(839\) −20.1240 9.69118i −0.694756 0.334577i 0.0529590 0.998597i \(-0.483135\pi\)
−0.747715 + 0.664020i \(0.768849\pi\)
\(840\) −1.33969 0.562388i −0.0462237 0.0194042i
\(841\) −73.3017 + 35.3002i −2.52764 + 1.21725i
\(842\) 17.2909 + 4.50934i 0.595885 + 0.155402i
\(843\) 9.60248 + 4.62431i 0.330727 + 0.159270i
\(844\) −1.46838 + 23.8766i −0.0505438 + 0.821866i
\(845\) −1.91728 + 0.437606i −0.0659563 + 0.0150541i
\(846\) 0.525406 1.01042i 0.0180638 0.0347389i
\(847\) −1.79019 + 22.0754i −0.0615118 + 0.758519i
\(848\) −46.8602 30.1446i −1.60919 1.03517i
\(849\) 6.41496 + 3.08928i 0.220161 + 0.106024i
\(850\) −4.71472 6.29958i −0.161713 0.216074i
\(851\) 47.5250i 1.62914i
\(852\) −15.2798 13.8018i −0.523476 0.472841i
\(853\) −35.2501 + 8.04561i −1.20694 + 0.275477i −0.778239 0.627969i \(-0.783887\pi\)
−0.428703 + 0.903445i \(0.641029\pi\)
\(854\) 4.22691 37.7085i 0.144642 1.29036i
\(855\) 1.24320 + 0.283752i 0.0425166 + 0.00970413i
\(856\) 11.7452 + 7.05528i 0.401442 + 0.241145i
\(857\) 5.38486 + 4.29429i 0.183943 + 0.146690i 0.711132 0.703058i \(-0.248183\pi\)
−0.527189 + 0.849748i \(0.676754\pi\)
\(858\) 10.6706 + 2.78282i 0.364289 + 0.0950039i
\(859\) −2.43238 + 10.6569i −0.0829916 + 0.363610i −0.999322 0.0368126i \(-0.988280\pi\)
0.916331 + 0.400423i \(0.131137\pi\)
\(860\) −0.832842 1.18712i −0.0283997 0.0404803i
\(861\) −9.42902 5.52104i −0.321340 0.188156i
\(862\) −25.1506 33.6051i −0.856634 1.14459i
\(863\) 12.9734i 0.441621i −0.975317 0.220810i \(-0.929130\pi\)
0.975317 0.220810i \(-0.0708702\pi\)
\(864\) −4.91012 + 2.80903i −0.167046 + 0.0955653i
\(865\) 0.691742 + 3.03072i 0.0235199 + 0.103048i
\(866\) 11.7701 + 0.361582i 0.399964 + 0.0122870i
\(867\) 9.81551 12.3083i 0.333352 0.418010i
\(868\) −18.0467 19.1687i −0.612546 0.650629i
\(869\) 13.5396 + 16.9781i 0.459299 + 0.575942i
\(870\) −1.72837 2.30937i −0.0585973 0.0782949i
\(871\) −28.7887 36.0999i −0.975469 1.22320i
\(872\) −25.1878 24.1967i −0.852967 0.819402i
\(873\) 13.2748 + 10.5863i 0.449285 + 0.358293i
\(874\) 36.6233 43.1374i 1.23880 1.45914i
\(875\) −5.10083 0.413650i −0.172439 0.0139839i
\(876\) 2.07392 + 5.08322i 0.0700712 + 0.171746i
\(877\) 37.3540 17.9887i 1.26135 0.607436i 0.320821 0.947140i \(-0.396041\pi\)
0.940533 + 0.339704i \(0.110327\pi\)
\(878\) 4.88861 0.958889i 0.164982 0.0323609i
\(879\) −1.52364 3.16386i −0.0513909 0.106714i
\(880\) 0.899830 0.880877i 0.0303333 0.0296944i
\(881\) 0.419975i 0.0141493i 0.999975 + 0.00707465i \(0.00225195\pi\)
−0.999975 + 0.00707465i \(0.997748\pi\)
\(882\) −6.41560 7.53924i −0.216024 0.253859i
\(883\) 6.79523i 0.228678i −0.993442 0.114339i \(-0.963525\pi\)
0.993442 0.114339i \(-0.0364749\pi\)
\(884\) −10.7642 0.661983i −0.362038 0.0222649i
\(885\) 1.09875 + 2.28158i 0.0369340 + 0.0766943i
\(886\) 6.30116 + 32.1246i 0.211692 + 1.07925i
\(887\) −10.2556 + 4.93882i −0.344348 + 0.165829i −0.598062 0.801450i \(-0.704062\pi\)
0.253714 + 0.967279i \(0.418348\pi\)
\(888\) −15.9113 15.2852i −0.533949 0.512938i
\(889\) 40.3892 15.5671i 1.35461 0.522104i
\(890\) 0.379590 + 0.322269i 0.0127239 + 0.0108025i
\(891\) −1.26765 1.01092i −0.0424680 0.0338671i
\(892\) −5.40667 + 2.20588i −0.181029 + 0.0738584i
\(893\) −3.29760 4.13506i −0.110350 0.138374i
\(894\) 9.55428 7.15060i 0.319543 0.239152i
\(895\) 1.57186 + 1.97105i 0.0525414 + 0.0658848i
\(896\) 2.13820 29.8568i 0.0714323 0.997445i
\(897\) 18.2681 22.9075i 0.609956 0.764860i
\(898\) 1.44422 47.0119i 0.0481944 1.56881i
\(899\) −11.6306 50.9568i −0.387901 1.69951i
\(900\) −6.65251 + 7.36491i −0.221750 + 0.245497i
\(901\) 15.6183i 0.520322i
\(902\) 7.58148 5.67411i 0.252436 0.188927i
\(903\) −1.41279 9.77878i −0.0470146 0.325417i
\(904\) 1.40665 2.34171i 0.0467846 0.0778840i
\(905\) 0.152951 0.670124i 0.00508427 0.0222757i
\(906\) −1.01468 + 3.89078i −0.0337106 + 0.129262i
\(907\) 14.2731 + 11.3824i 0.473931 + 0.377947i 0.831127 0.556082i \(-0.187696\pi\)
−0.357197 + 0.934029i \(0.616267\pi\)
\(908\) −13.3070 18.9675i −0.441608 0.629459i
\(909\) −7.01469 1.60106i −0.232663 0.0531038i
\(910\) −2.46906 + 2.47189i −0.0818486 + 0.0819422i
\(911\) 44.8172 10.2292i 1.48486 0.338910i 0.598207 0.801342i \(-0.295880\pi\)
0.886655 + 0.462432i \(0.153023\pi\)
\(912\) 2.66339 + 26.1355i 0.0881937 + 0.865432i
\(913\) 8.05575i 0.266606i
\(914\) 26.8742 20.1132i 0.888921 0.665284i
\(915\) 1.77399 + 0.854310i 0.0586464 + 0.0282426i
\(916\) 11.8015 1.94060i 0.389933 0.0641192i
\(917\) −8.00491 2.52292i −0.264345 0.0833142i
\(918\) 1.40683 + 0.731533i 0.0464322 + 0.0241442i
\(919\) −1.92359 + 0.439047i −0.0634534 + 0.0144828i −0.254130 0.967170i \(-0.581789\pi\)
0.190676 + 0.981653i \(0.438932\pi\)
\(920\) −1.16817 3.13515i −0.0385133 0.103363i
\(921\) −8.11423 3.90761i −0.267373 0.128760i
\(922\) 5.25892 20.1651i 0.173193 0.664104i
\(923\) −44.6086 + 21.4824i −1.46831 + 0.707101i
\(924\) 8.17984 2.58833i 0.269097 0.0851499i
\(925\) −34.8760 16.7954i −1.14672 0.552229i
\(926\) −6.64771 + 7.83011i −0.218457 + 0.257313i
\(927\) 3.10936 13.6230i 0.102125 0.447438i
\(928\) 33.6699 48.9675i 1.10527 1.60744i
\(929\) −44.2731 + 35.3066i −1.45255 + 1.15837i −0.495446 + 0.868639i \(0.664995\pi\)
−0.957107 + 0.289734i \(0.906433\pi\)
\(930\) 1.24847 0.554674i 0.0409391 0.0181885i
\(931\) −44.0940 + 13.0125i −1.44512 + 0.426469i
\(932\) 10.0899 11.1704i 0.330506 0.365899i
\(933\) −11.0302 13.8315i −0.361114 0.452822i
\(934\) −27.2612 23.1446i −0.892015 0.757315i
\(935\) −0.344119 0.0785428i −0.0112539 0.00256863i
\(936\) 1.79394 + 13.4838i 0.0586366 + 0.440731i
\(937\) −10.5685 + 21.9458i −0.345259 + 0.716939i −0.999216 0.0395936i \(-0.987394\pi\)
0.653956 + 0.756532i \(0.273108\pi\)
\(938\) −33.9145 11.8455i −1.10735 0.386768i
\(939\) 9.45677 + 19.6372i 0.308610 + 0.640835i
\(940\) −0.308565 + 0.0507393i −0.0100643 + 0.00165493i
\(941\) 22.7132 47.1644i 0.740428 1.53751i −0.0996338 0.995024i \(-0.531767\pi\)
0.840062 0.542491i \(-0.182519\pi\)
\(942\) −10.5525 5.48716i −0.343818 0.178781i
\(943\) −5.59876 24.5298i −0.182321 0.798799i
\(944\) −37.2811 + 36.4958i −1.21340 + 1.18784i
\(945\) 0.479323 0.184744i 0.0155924 0.00600974i
\(946\) 8.28582 + 2.16088i 0.269395 + 0.0702562i
\(947\) 13.4708 27.9725i 0.437743 0.908984i −0.559063 0.829125i \(-0.688839\pi\)
0.996806 0.0798582i \(-0.0254468\pi\)
\(948\) −13.0818 + 23.3750i −0.424877 + 0.759186i
\(949\) 13.2014 0.428536
\(950\) 18.7134 + 42.1206i 0.607143 + 1.36657i
\(951\) 0.613582 + 2.68828i 0.0198968 + 0.0871734i
\(952\) −7.36275 + 4.02371i −0.238628 + 0.130409i
\(953\) −1.13714 + 4.98214i −0.0368356 + 0.161387i −0.990001 0.141064i \(-0.954948\pi\)
0.953165 + 0.302451i \(0.0978049\pi\)
\(954\) 19.3312 3.79177i 0.625870 0.122763i
\(955\) 0.794827 0.996681i 0.0257200 0.0322519i
\(956\) 8.79941 1.44694i 0.284593 0.0467975i
\(957\) 16.6059 + 3.79019i 0.536793 + 0.122520i
\(958\) 49.1833 9.64719i 1.58904 0.311687i
\(959\) 32.8190 + 10.3436i 1.05978 + 0.334013i
\(960\) 1.42536 + 0.617241i 0.0460032 + 0.0199214i
\(961\) −6.24557 −0.201470
\(962\) −48.4851 + 21.5410i −1.56322 + 0.694510i
\(963\) −4.72270 + 1.07792i −0.152187 + 0.0347356i
\(964\) 9.27799 + 22.7406i 0.298824 + 0.732425i
\(965\) 0.865602 + 0.690295i 0.0278647 + 0.0222214i
\(966\) 2.53936 22.6538i 0.0817027 0.728874i
\(967\) −32.1980 + 25.6770i −1.03542 + 0.825718i −0.984921 0.173006i \(-0.944652\pi\)
−0.0504968 + 0.998724i \(0.516080\pi\)
\(968\) 2.17833 23.5766i 0.0700143 0.757781i
\(969\) 5.75732 4.59131i 0.184952 0.147494i
\(970\) 0.143155 4.65995i 0.00459644 0.149622i
\(971\) −4.94811 + 6.20474i −0.158793 + 0.199120i −0.854863 0.518854i \(-0.826359\pi\)
0.696070 + 0.717974i \(0.254930\pi\)
\(972\) 0.563890 1.91886i 0.0180868 0.0615475i
\(973\) −18.5753 + 12.4986i −0.595496 + 0.400688i
\(974\) 6.47198 + 0.198822i 0.207376 + 0.00637066i
\(975\) 10.3546 + 21.5015i 0.331612 + 0.688600i
\(976\) −4.97055 + 40.2589i −0.159103 + 1.28866i
\(977\) −16.4341 + 7.91427i −0.525775 + 0.253200i −0.677890 0.735163i \(-0.737106\pi\)
0.152116 + 0.988363i \(0.451391\pi\)
\(978\) 17.0425 + 8.86190i 0.544959 + 0.283372i
\(979\) −2.94033 −0.0939732
\(980\) −0.601830 + 2.65075i −0.0192247 + 0.0846751i
\(981\) 12.3486 0.394261
\(982\) −41.1436 21.3942i −1.31295 0.682716i
\(983\) −28.9911 + 13.9614i −0.924673 + 0.445299i −0.834737 0.550649i \(-0.814380\pi\)
−0.0899358 + 0.995948i \(0.528666\pi\)
\(984\) 10.0132 + 6.01491i 0.319210 + 0.191748i
\(985\) −1.41299 2.93411i −0.0450216 0.0934884i
\(986\) −16.6497 0.511486i −0.530235 0.0162890i
\(987\) −2.03207 0.640451i −0.0646815 0.0203858i
\(988\) 60.6085 + 17.8109i 1.92821 + 0.566639i
\(989\) 14.1853 17.7878i 0.451067 0.565620i
\(990\) −0.0136703 + 0.444992i −0.000434472 + 0.0141428i
\(991\) −12.7354 + 10.1561i −0.404552 + 0.322620i −0.804538 0.593902i \(-0.797587\pi\)
0.399985 + 0.916522i \(0.369015\pi\)
\(992\) 19.0617 + 20.7073i 0.605211 + 0.657457i
\(993\) 14.8839 11.8695i 0.472326 0.376667i
\(994\) −20.4757 + 32.6283i −0.649451 + 1.03491i
\(995\) −1.43473 1.14416i −0.0454841 0.0362724i
\(996\) −9.20056 + 3.75376i −0.291531 + 0.118942i
\(997\) −52.6629 + 12.0200i −1.66785 + 0.380676i −0.949195 0.314690i \(-0.898099\pi\)
−0.718656 + 0.695366i \(0.755242\pi\)
\(998\) 12.9795 5.76654i 0.410858 0.182537i
\(999\) 7.80070 0.246803
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 588.2.x.a.139.19 yes 168
4.3 odd 2 588.2.x.b.139.4 yes 168
49.6 odd 14 588.2.x.b.55.4 yes 168
196.55 even 14 inner 588.2.x.a.55.19 168
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
588.2.x.a.55.19 168 196.55 even 14 inner
588.2.x.a.139.19 yes 168 1.1 even 1 trivial
588.2.x.b.55.4 yes 168 49.6 odd 14
588.2.x.b.139.4 yes 168 4.3 odd 2