Properties

Label 294.2.j.a.251.15
Level $294$
Weight $2$
Character 294.251
Analytic conductor $2.348$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [294,2,Mod(41,294)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(294, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([7, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("294.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 294 = 2 \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 294.j (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: \(2.34760181943\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(20\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 251.15
Character \(\chi\) \(=\) 294.251
Dual form 294.2.j.a.41.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.781831 + 0.623490i) q^{2} +(-0.423824 - 1.67940i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-2.99870 - 1.44410i) q^{5} +(0.715728 - 1.57726i) q^{6} +(-2.37504 - 1.16585i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(-2.64075 + 1.42354i) q^{9} +O(q^{10})\) \(q+(0.781831 + 0.623490i) q^{2} +(-0.423824 - 1.67940i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-2.99870 - 1.44410i) q^{5} +(0.715728 - 1.57726i) q^{6} +(-2.37504 - 1.16585i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(-2.64075 + 1.42354i) q^{9} +(-1.44410 - 2.99870i) q^{10} +(-1.67851 - 1.33856i) q^{11} +(1.54298 - 0.786899i) q^{12} +(0.710524 + 0.566624i) q^{13} +(-1.12999 - 2.39231i) q^{14} +(-1.15429 + 5.64805i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(0.575231 - 2.52025i) q^{17} +(-2.95218 - 0.533512i) q^{18} -1.40567i q^{19} +(0.740618 - 3.24486i) q^{20} +(-0.951320 + 4.48274i) q^{21} +(-0.477728 - 2.09306i) q^{22} +(3.48656 - 0.795785i) q^{23} +(1.69697 + 0.346811i) q^{24} +(3.78934 + 4.75168i) q^{25} +(0.202226 + 0.886009i) q^{26} +(3.50990 + 3.83153i) q^{27} +(0.608120 - 2.57492i) q^{28} +(-2.07865 - 0.474438i) q^{29} +(-4.42396 + 3.69614i) q^{30} -10.3551i q^{31} +(-0.974928 - 0.222521i) q^{32} +(-1.53659 + 3.38620i) q^{33} +(2.02109 - 1.61176i) q^{34} +(5.43843 + 6.92581i) q^{35} +(-1.97547 - 2.25777i) q^{36} +(0.219886 - 0.963384i) q^{37} +(0.876424 - 1.09900i) q^{38} +(0.650449 - 1.43340i) q^{39} +(2.60218 - 2.07517i) q^{40} +(3.83518 + 1.84693i) q^{41} +(-3.53872 + 2.91161i) q^{42} +(-8.38225 + 4.03668i) q^{43} +(0.931501 - 1.93428i) q^{44} +(9.97454 - 0.455266i) q^{45} +(3.22207 + 1.55167i) q^{46} +(8.09957 - 10.1565i) q^{47} +(1.11052 + 1.32919i) q^{48} +(4.28161 + 5.53786i) q^{49} +6.07763i q^{50} +(-4.47630 + 0.102102i) q^{51} +(-0.394311 + 0.818796i) q^{52} +(-2.54258 + 0.580328i) q^{53} +(0.355226 + 5.18400i) q^{54} +(3.10032 + 6.43789i) q^{55} +(2.08088 - 1.63399i) q^{56} +(-2.36068 + 0.595759i) q^{57} +(-1.32935 - 1.66695i) q^{58} +(-10.4774 + 5.04565i) q^{59} +(-5.76330 + 0.131458i) q^{60} +(-11.6752 - 2.66479i) q^{61} +(6.45632 - 8.09597i) q^{62} +(7.93150 - 0.302250i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(-1.31239 - 2.72520i) q^{65} +(-3.31261 + 1.68939i) q^{66} +10.8344 q^{67} +2.58507 q^{68} +(-2.81413 - 5.51804i) q^{69} +(-0.0662367 + 8.80562i) q^{70} +(15.3625 - 3.50639i) q^{71} +(-0.136786 - 2.99688i) q^{72} +(-8.78824 + 7.00839i) q^{73} +(0.772574 - 0.616107i) q^{74} +(6.37394 - 8.37768i) q^{75} +(1.37043 - 0.312792i) q^{76} +(2.42596 + 5.13602i) q^{77} +(1.40225 - 0.715129i) q^{78} -4.17117 q^{79} +3.32831 q^{80} +(4.94708 - 7.51840i) q^{81} +(1.84693 + 3.83518i) q^{82} +(-0.660744 - 0.828546i) q^{83} +(-4.58204 + 0.0700356i) q^{84} +(-5.36444 + 6.72680i) q^{85} +(-9.07033 - 2.07024i) q^{86} +(0.0842117 + 3.69196i) q^{87} +(1.93428 - 0.931501i) q^{88} +(-4.11724 - 5.16285i) q^{89} +(8.08226 + 5.86308i) q^{90} +(-1.02692 - 2.17412i) q^{91} +(1.55167 + 3.22207i) q^{92} +(-17.3904 + 4.38876i) q^{93} +(12.6650 - 2.89070i) q^{94} +(-2.02993 + 4.21520i) q^{95} +(0.0394970 + 1.73160i) q^{96} +19.0032i q^{97} +(-0.105303 + 6.99921i) q^{98} +(6.33801 + 1.14539i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 20 q^{4} - 14 q^{6} + 4 q^{7} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 20 q^{4} - 14 q^{6} + 4 q^{7} - 10 q^{9} + 12 q^{15} - 20 q^{16} - 8 q^{18} - 12 q^{21} - 10 q^{22} - 24 q^{25} + 42 q^{27} - 4 q^{28} + 8 q^{30} + 10 q^{36} - 58 q^{37} + 8 q^{39} - 14 q^{40} - 2 q^{42} - 12 q^{43} + 14 q^{45} - 60 q^{46} - 36 q^{49} - 24 q^{51} - 42 q^{52} - 14 q^{55} + 34 q^{57} + 50 q^{58} - 12 q^{60} - 154 q^{61} + 20 q^{64} - 28 q^{67} + 28 q^{69} - 38 q^{70} + 8 q^{72} - 84 q^{75} - 16 q^{78} + 16 q^{79} + 22 q^{81} - 30 q^{84} - 32 q^{85} - 56 q^{87} - 4 q^{88} - 42 q^{90} + 88 q^{91} + 14 q^{93} + 112 q^{94} - 224 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(199\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.781831 + 0.623490i 0.552838 + 0.440874i
\(3\) −0.423824 1.67940i −0.244695 0.969600i
\(4\) 0.222521 + 0.974928i 0.111260 + 0.487464i
\(5\) −2.99870 1.44410i −1.34106 0.645820i −0.380730 0.924686i \(-0.624327\pi\)
−0.960330 + 0.278866i \(0.910041\pi\)
\(6\) 0.715728 1.57726i 0.292195 0.643912i
\(7\) −2.37504 1.16585i −0.897680 0.440648i
\(8\) −0.433884 + 0.900969i −0.153401 + 0.318541i
\(9\) −2.64075 + 1.42354i −0.880249 + 0.474512i
\(10\) −1.44410 2.99870i −0.456664 0.948273i
\(11\) −1.67851 1.33856i −0.506089 0.403592i 0.336886 0.941545i \(-0.390626\pi\)
−0.842975 + 0.537953i \(0.819198\pi\)
\(12\) 1.54298 0.786899i 0.445420 0.227158i
\(13\) 0.710524 + 0.566624i 0.197064 + 0.157153i 0.717051 0.697021i \(-0.245492\pi\)
−0.519987 + 0.854174i \(0.674063\pi\)
\(14\) −1.12999 2.39231i −0.302001 0.639371i
\(15\) −1.15429 + 5.64805i −0.298037 + 1.45832i
\(16\) −0.900969 + 0.433884i −0.225242 + 0.108471i
\(17\) 0.575231 2.52025i 0.139514 0.611251i −0.856028 0.516930i \(-0.827075\pi\)
0.995542 0.0943213i \(-0.0300681\pi\)
\(18\) −2.95218 0.533512i −0.695835 0.125750i
\(19\) 1.40567i 0.322484i −0.986915 0.161242i \(-0.948450\pi\)
0.986915 0.161242i \(-0.0515499\pi\)
\(20\) 0.740618 3.24486i 0.165607 0.725573i
\(21\) −0.951320 + 4.48274i −0.207595 + 0.978215i
\(22\) −0.477728 2.09306i −0.101852 0.446243i
\(23\) 3.48656 0.795785i 0.726998 0.165933i 0.157023 0.987595i \(-0.449810\pi\)
0.569975 + 0.821662i \(0.306953\pi\)
\(24\) 1.69697 + 0.346811i 0.346393 + 0.0707924i
\(25\) 3.78934 + 4.75168i 0.757868 + 0.950336i
\(26\) 0.202226 + 0.886009i 0.0396597 + 0.173761i
\(27\) 3.50990 + 3.83153i 0.675480 + 0.737379i
\(28\) 0.608120 2.57492i 0.114924 0.486613i
\(29\) −2.07865 0.474438i −0.385996 0.0881010i 0.0251194 0.999684i \(-0.492003\pi\)
−0.411115 + 0.911583i \(0.634861\pi\)
\(30\) −4.42396 + 3.69614i −0.807702 + 0.674819i
\(31\) 10.3551i 1.85984i −0.367764 0.929919i \(-0.619877\pi\)
0.367764 0.929919i \(-0.380123\pi\)
\(32\) −0.974928 0.222521i −0.172345 0.0393365i
\(33\) −1.53659 + 3.38620i −0.267486 + 0.589461i
\(34\) 2.02109 1.61176i 0.346613 0.276415i
\(35\) 5.43843 + 6.92581i 0.919263 + 1.17068i
\(36\) −1.97547 2.25777i −0.329245 0.376295i
\(37\) 0.219886 0.963384i 0.0361490 0.158379i −0.953632 0.300975i \(-0.902688\pi\)
0.989781 + 0.142596i \(0.0455450\pi\)
\(38\) 0.876424 1.09900i 0.142175 0.178281i
\(39\) 0.650449 1.43340i 0.104155 0.229528i
\(40\) 2.60218 2.07517i 0.411440 0.328112i
\(41\) 3.83518 + 1.84693i 0.598955 + 0.288442i 0.708691 0.705519i \(-0.249286\pi\)
−0.109736 + 0.993961i \(0.535000\pi\)
\(42\) −3.53872 + 2.91161i −0.546036 + 0.449271i
\(43\) −8.38225 + 4.03668i −1.27828 + 0.615588i −0.944948 0.327221i \(-0.893888\pi\)
−0.333333 + 0.942809i \(0.608173\pi\)
\(44\) 0.931501 1.93428i 0.140429 0.291604i
\(45\) 9.97454 0.455266i 1.48692 0.0678670i
\(46\) 3.22207 + 1.55167i 0.475068 + 0.228781i
\(47\) 8.09957 10.1565i 1.18144 1.48148i 0.340597 0.940209i \(-0.389371\pi\)
0.840847 0.541274i \(-0.182058\pi\)
\(48\) 1.11052 + 1.32919i 0.160289 + 0.191853i
\(49\) 4.28161 + 5.53786i 0.611658 + 0.791122i
\(50\) 6.07763i 0.859506i
\(51\) −4.47630 + 0.102102i −0.626808 + 0.0142972i
\(52\) −0.394311 + 0.818796i −0.0546811 + 0.113547i
\(53\) −2.54258 + 0.580328i −0.349251 + 0.0797142i −0.393548 0.919304i \(-0.628752\pi\)
0.0442969 + 0.999018i \(0.485895\pi\)
\(54\) 0.355226 + 5.18400i 0.0483402 + 0.705452i
\(55\) 3.10032 + 6.43789i 0.418047 + 0.868084i
\(56\) 2.08088 1.63399i 0.278069 0.218352i
\(57\) −2.36068 + 0.595759i −0.312680 + 0.0789101i
\(58\) −1.32935 1.66695i −0.174552 0.218881i
\(59\) −10.4774 + 5.04565i −1.36404 + 0.656887i −0.965534 0.260278i \(-0.916186\pi\)
−0.398507 + 0.917165i \(0.630471\pi\)
\(60\) −5.76330 + 0.131458i −0.744039 + 0.0169712i
\(61\) −11.6752 2.66479i −1.49486 0.341191i −0.604555 0.796563i \(-0.706649\pi\)
−0.890301 + 0.455372i \(0.849506\pi\)
\(62\) 6.45632 8.09597i 0.819954 1.02819i
\(63\) 7.93150 0.302250i 0.999275 0.0380800i
\(64\) −0.623490 0.781831i −0.0779362 0.0977289i
\(65\) −1.31239 2.72520i −0.162782 0.338020i
\(66\) −3.31261 + 1.68939i −0.407754 + 0.207949i
\(67\) 10.8344 1.32363 0.661815 0.749667i \(-0.269786\pi\)
0.661815 + 0.749667i \(0.269786\pi\)
\(68\) 2.58507 0.313485
\(69\) −2.81413 5.51804i −0.338781 0.664295i
\(70\) −0.0662367 + 8.80562i −0.00791679 + 1.05247i
\(71\) 15.3625 3.50639i 1.82319 0.416131i 0.832702 0.553722i \(-0.186793\pi\)
0.990489 + 0.137590i \(0.0439358\pi\)
\(72\) −0.136786 2.99688i −0.0161204 0.353186i
\(73\) −8.78824 + 7.00839i −1.02859 + 0.820270i −0.983898 0.178731i \(-0.942801\pi\)
−0.0446877 + 0.999001i \(0.514229\pi\)
\(74\) 0.772574 0.616107i 0.0898099 0.0716210i
\(75\) 6.37394 8.37768i 0.736000 0.967371i
\(76\) 1.37043 0.312792i 0.157199 0.0358797i
\(77\) 2.42596 + 5.13602i 0.276463 + 0.585304i
\(78\) 1.40225 0.715129i 0.158774 0.0809724i
\(79\) −4.17117 −0.469293 −0.234647 0.972081i \(-0.575393\pi\)
−0.234647 + 0.972081i \(0.575393\pi\)
\(80\) 3.32831 0.372116
\(81\) 4.94708 7.51840i 0.549676 0.835378i
\(82\) 1.84693 + 3.83518i 0.203959 + 0.423525i
\(83\) −0.660744 0.828546i −0.0725260 0.0909448i 0.744245 0.667907i \(-0.232810\pi\)
−0.816771 + 0.576962i \(0.804238\pi\)
\(84\) −4.58204 + 0.0700356i −0.499942 + 0.00764151i
\(85\) −5.36444 + 6.72680i −0.581855 + 0.729623i
\(86\) −9.07033 2.07024i −0.978079 0.223240i
\(87\) 0.0842117 + 3.69196i 0.00902844 + 0.395819i
\(88\) 1.93428 0.931501i 0.206195 0.0992984i
\(89\) −4.11724 5.16285i −0.436426 0.547261i 0.514171 0.857688i \(-0.328100\pi\)
−0.950597 + 0.310426i \(0.899528\pi\)
\(90\) 8.08226 + 5.86308i 0.851945 + 0.618023i
\(91\) −1.02692 2.17412i −0.107651 0.227909i
\(92\) 1.55167 + 3.22207i 0.161772 + 0.335924i
\(93\) −17.3904 + 4.38876i −1.80330 + 0.455093i
\(94\) 12.6650 2.89070i 1.30629 0.298153i
\(95\) −2.02993 + 4.21520i −0.208267 + 0.432470i
\(96\) 0.0394970 + 1.73160i 0.00403114 + 0.176731i
\(97\) 19.0032i 1.92948i 0.263209 + 0.964739i \(0.415219\pi\)
−0.263209 + 0.964739i \(0.584781\pi\)
\(98\) −0.105303 + 6.99921i −0.0106372 + 0.707027i
\(99\) 6.33801 + 1.14539i 0.636994 + 0.115116i
\(100\) −3.78934 + 4.75168i −0.378934 + 0.475168i
\(101\) −12.0818 5.81829i −1.20218 0.578942i −0.277887 0.960614i \(-0.589634\pi\)
−0.924298 + 0.381672i \(0.875348\pi\)
\(102\) −3.56337 2.71110i −0.352827 0.268439i
\(103\) −2.84231 + 5.90212i −0.280061 + 0.581554i −0.992787 0.119889i \(-0.961746\pi\)
0.712726 + 0.701443i \(0.247460\pi\)
\(104\) −0.818796 + 0.394311i −0.0802895 + 0.0386654i
\(105\) 9.32625 12.0686i 0.910149 1.17778i
\(106\) −2.34970 1.13156i −0.228223 0.109906i
\(107\) 1.23750 0.986869i 0.119633 0.0954043i −0.561846 0.827242i \(-0.689909\pi\)
0.681479 + 0.731838i \(0.261337\pi\)
\(108\) −2.95444 + 4.27449i −0.284291 + 0.411313i
\(109\) 5.20422 6.52589i 0.498474 0.625066i −0.467410 0.884040i \(-0.654813\pi\)
0.965884 + 0.258974i \(0.0833844\pi\)
\(110\) −1.59003 + 6.96636i −0.151603 + 0.664216i
\(111\) −1.71110 + 0.0390293i −0.162410 + 0.00370450i
\(112\) 2.64568 + 0.0199010i 0.249993 + 0.00188047i
\(113\) −1.40133 + 1.11752i −0.131826 + 0.105127i −0.687183 0.726484i \(-0.741153\pi\)
0.555357 + 0.831612i \(0.312582\pi\)
\(114\) −2.21711 1.00608i −0.207651 0.0942280i
\(115\) −11.6043 2.64862i −1.08211 0.246985i
\(116\) 2.13211i 0.197961i
\(117\) −2.68292 0.484853i −0.248036 0.0448247i
\(118\) −11.3375 2.58770i −1.04370 0.238217i
\(119\) −4.30442 + 5.31506i −0.394586 + 0.487231i
\(120\) −4.58789 3.49058i −0.418815 0.318645i
\(121\) −1.42210 6.23063i −0.129282 0.566421i
\(122\) −7.46657 9.36279i −0.675992 0.847667i
\(123\) 1.47628 7.22357i 0.133112 0.651327i
\(124\) 10.0955 2.30424i 0.906604 0.206926i
\(125\) −0.798111 3.49675i −0.0713852 0.312759i
\(126\) 6.38954 + 4.70890i 0.569226 + 0.419502i
\(127\) 1.54639 6.77517i 0.137220 0.601200i −0.858819 0.512279i \(-0.828801\pi\)
0.996039 0.0889202i \(-0.0283416\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 10.3318 + 12.3663i 0.909663 + 1.08879i
\(130\) 0.673070 2.94891i 0.0590321 0.258637i
\(131\) 15.9694 7.69048i 1.39526 0.671920i 0.423063 0.906100i \(-0.360955\pi\)
0.972193 + 0.234180i \(0.0752406\pi\)
\(132\) −3.64322 0.744565i −0.317102 0.0648060i
\(133\) −1.63880 + 3.33853i −0.142102 + 0.289487i
\(134\) 8.47066 + 6.75512i 0.731753 + 0.583554i
\(135\) −4.99202 16.5583i −0.429645 1.42511i
\(136\) 2.02109 + 1.61176i 0.173307 + 0.138208i
\(137\) −0.953498 1.97996i −0.0814628 0.169159i 0.856259 0.516547i \(-0.172783\pi\)
−0.937721 + 0.347388i \(0.887069\pi\)
\(138\) 1.24027 6.06876i 0.105579 0.516607i
\(139\) 8.66404 17.9911i 0.734874 1.52598i −0.111718 0.993740i \(-0.535635\pi\)
0.846592 0.532242i \(-0.178650\pi\)
\(140\) −5.54200 + 6.84322i −0.468385 + 0.578357i
\(141\) −20.4896 9.29780i −1.72554 0.783016i
\(142\) 14.1971 + 6.83695i 1.19139 + 0.573744i
\(143\) −0.434157 1.90217i −0.0363060 0.159067i
\(144\) 1.76158 2.42834i 0.146798 0.202362i
\(145\) 5.54811 + 4.42447i 0.460746 + 0.367432i
\(146\) −11.2406 −0.930277
\(147\) 7.48561 9.53759i 0.617403 0.786647i
\(148\) 0.988159 0.0812262
\(149\) 2.48116 + 1.97866i 0.203265 + 0.162098i 0.719832 0.694148i \(-0.244219\pi\)
−0.516567 + 0.856247i \(0.672790\pi\)
\(150\) 10.2067 2.57584i 0.833377 0.210317i
\(151\) −3.66448 16.0551i −0.298211 1.30655i −0.872789 0.488098i \(-0.837691\pi\)
0.574578 0.818450i \(-0.305166\pi\)
\(152\) 1.26647 + 0.609899i 0.102724 + 0.0494694i
\(153\) 2.06863 + 7.47421i 0.167239 + 0.604254i
\(154\) −1.30557 + 5.52806i −0.105206 + 0.445464i
\(155\) −14.9538 + 31.0520i −1.20112 + 2.49415i
\(156\) 1.54220 + 0.315180i 0.123475 + 0.0252346i
\(157\) −4.00137 8.30892i −0.319344 0.663124i 0.678070 0.734997i \(-0.262817\pi\)
−0.997414 + 0.0718730i \(0.977102\pi\)
\(158\) −3.26115 2.60068i −0.259443 0.206899i
\(159\) 2.05221 + 4.02405i 0.162751 + 0.319128i
\(160\) 2.60218 + 2.07517i 0.205720 + 0.164056i
\(161\) −9.20847 2.17477i −0.725729 0.171396i
\(162\) 8.55543 2.79367i 0.672178 0.219491i
\(163\) 18.6794 8.99555i 1.46309 0.704586i 0.478275 0.878210i \(-0.341262\pi\)
0.984812 + 0.173624i \(0.0555479\pi\)
\(164\) −0.947212 + 4.15001i −0.0739648 + 0.324061i
\(165\) 9.49777 7.93520i 0.739401 0.617755i
\(166\) 1.05975i 0.0822526i
\(167\) 1.33896 5.86637i 0.103612 0.453953i −0.896332 0.443383i \(-0.853778\pi\)
0.999944 0.0105703i \(-0.00336470\pi\)
\(168\) −3.62605 2.80210i −0.279756 0.216187i
\(169\) −2.70899 11.8689i −0.208384 0.912989i
\(170\) −8.38818 + 1.91455i −0.643344 + 0.146839i
\(171\) 2.00103 + 3.71203i 0.153023 + 0.283866i
\(172\) −5.80070 7.27384i −0.442299 0.554625i
\(173\) −1.39979 6.13288i −0.106424 0.466275i −0.999854 0.0170724i \(-0.994565\pi\)
0.893430 0.449202i \(-0.148292\pi\)
\(174\) −2.23606 + 2.93899i −0.169515 + 0.222804i
\(175\) −3.46009 15.7032i −0.261558 1.18705i
\(176\) 2.09306 + 0.477728i 0.157771 + 0.0360101i
\(177\) 12.9142 + 15.4572i 0.970692 + 1.16184i
\(178\) 6.60354i 0.494956i
\(179\) −5.92396 1.35211i −0.442778 0.101061i −0.00468118 0.999989i \(-0.501490\pi\)
−0.438097 + 0.898928i \(0.644347\pi\)
\(180\) 2.66339 + 9.62315i 0.198518 + 0.717267i
\(181\) 1.10146 0.878387i 0.0818711 0.0652900i −0.581699 0.813404i \(-0.697612\pi\)
0.663570 + 0.748114i \(0.269040\pi\)
\(182\) 0.552657 2.34007i 0.0409656 0.173457i
\(183\) 0.472994 + 20.7367i 0.0349647 + 1.53290i
\(184\) −0.795785 + 3.48656i −0.0586660 + 0.257033i
\(185\) −2.05059 + 2.57136i −0.150763 + 0.189050i
\(186\) −16.3327 7.41146i −1.19757 0.543435i
\(187\) −4.33905 + 3.46028i −0.317303 + 0.253041i
\(188\) 11.7042 + 5.63645i 0.853618 + 0.411081i
\(189\) −3.86916 13.1920i −0.281440 0.959579i
\(190\) −4.21520 + 2.02993i −0.305803 + 0.147267i
\(191\) −5.92000 + 12.2930i −0.428356 + 0.889491i 0.569369 + 0.822082i \(0.307187\pi\)
−0.997725 + 0.0674089i \(0.978527\pi\)
\(192\) −1.04876 + 1.37845i −0.0756874 + 0.0994807i
\(193\) 9.50599 + 4.57784i 0.684256 + 0.329520i 0.743512 0.668722i \(-0.233159\pi\)
−0.0592561 + 0.998243i \(0.518873\pi\)
\(194\) −11.8483 + 14.8573i −0.850656 + 1.06669i
\(195\) −4.02047 + 3.35903i −0.287912 + 0.240545i
\(196\) −4.44626 + 5.40655i −0.317590 + 0.386182i
\(197\) 0.750328i 0.0534587i −0.999643 0.0267293i \(-0.991491\pi\)
0.999643 0.0267293i \(-0.00850922\pi\)
\(198\) 4.24111 + 4.84719i 0.301403 + 0.344475i
\(199\) −5.54729 + 11.5191i −0.393237 + 0.816565i 0.606532 + 0.795059i \(0.292560\pi\)
−0.999769 + 0.0215054i \(0.993154\pi\)
\(200\) −5.92525 + 1.35240i −0.418978 + 0.0956291i
\(201\) −4.59187 18.1952i −0.323886 1.28339i
\(202\) −5.81829 12.0818i −0.409373 0.850073i
\(203\) 4.38375 + 3.55019i 0.307679 + 0.249175i
\(204\) −1.09561 4.34135i −0.0767083 0.303955i
\(205\) −8.83342 11.0768i −0.616953 0.773635i
\(206\) −5.90212 + 2.84231i −0.411220 + 0.198033i
\(207\) −8.07429 + 7.06471i −0.561202 + 0.491032i
\(208\) −0.886009 0.202226i −0.0614337 0.0140218i
\(209\) −1.88159 + 2.35943i −0.130152 + 0.163205i
\(210\) 14.8162 3.62080i 1.02242 0.249859i
\(211\) 0.931840 + 1.16849i 0.0641505 + 0.0804422i 0.812871 0.582443i \(-0.197903\pi\)
−0.748721 + 0.662885i \(0.769332\pi\)
\(212\) −1.13156 2.34970i −0.0777156 0.161378i
\(213\) −12.3996 24.3136i −0.849607 1.66594i
\(214\) 1.58282 0.108199
\(215\) 30.9652 2.11181
\(216\) −4.97498 + 1.49987i −0.338504 + 0.102053i
\(217\) −12.0725 + 24.5938i −0.819535 + 1.66954i
\(218\) 8.13765 1.85736i 0.551151 0.125797i
\(219\) 15.4945 + 11.7886i 1.04702 + 0.796601i
\(220\) −5.58659 + 4.45515i −0.376648 + 0.300366i
\(221\) 1.83675 1.46476i 0.123553 0.0985305i
\(222\) −1.36212 1.03634i −0.0914197 0.0695544i
\(223\) 3.88430 0.886567i 0.260112 0.0593689i −0.0904760 0.995899i \(-0.528839\pi\)
0.350588 + 0.936530i \(0.385982\pi\)
\(224\) 2.05607 + 1.66511i 0.137377 + 0.111255i
\(225\) −16.7709 7.15372i −1.11806 0.476915i
\(226\) −1.79236 −0.119226
\(227\) −13.3977 −0.889237 −0.444619 0.895720i \(-0.646661\pi\)
−0.444619 + 0.895720i \(0.646661\pi\)
\(228\) −1.10612 2.16893i −0.0732548 0.143641i
\(229\) 11.2782 + 23.4194i 0.745283 + 1.54760i 0.834141 + 0.551552i \(0.185964\pi\)
−0.0888577 + 0.996044i \(0.528322\pi\)
\(230\) −7.42126 9.30596i −0.489343 0.613617i
\(231\) 7.59724 6.25091i 0.499862 0.411280i
\(232\) 1.32935 1.66695i 0.0872759 0.109440i
\(233\) 21.2530 + 4.85086i 1.39233 + 0.317790i 0.851947 0.523628i \(-0.175422\pi\)
0.540384 + 0.841419i \(0.318279\pi\)
\(234\) −1.79529 2.05185i −0.117362 0.134134i
\(235\) −38.9552 + 18.7598i −2.54116 + 1.22376i
\(236\) −7.25058 9.09194i −0.471973 0.591835i
\(237\) 1.76784 + 7.00504i 0.114834 + 0.455027i
\(238\) −6.67922 + 1.47172i −0.432950 + 0.0953975i
\(239\) −2.06770 4.29363i −0.133749 0.277732i 0.823329 0.567565i \(-0.192114\pi\)
−0.957077 + 0.289833i \(0.906400\pi\)
\(240\) −1.41062 5.58955i −0.0910549 0.360804i
\(241\) 4.25738 0.971719i 0.274242 0.0625939i −0.0831881 0.996534i \(-0.526510\pi\)
0.357430 + 0.933940i \(0.383653\pi\)
\(242\) 2.77289 5.75796i 0.178248 0.370136i
\(243\) −14.7231 5.12163i −0.944486 0.328553i
\(244\) 11.9755i 0.766650i
\(245\) −4.84205 22.7894i −0.309347 1.45596i
\(246\) 5.65802 4.72717i 0.360742 0.301393i
\(247\) 0.796489 0.998765i 0.0506794 0.0635499i
\(248\) 9.32966 + 4.49293i 0.592434 + 0.285301i
\(249\) −1.11142 + 1.46081i −0.0704333 + 0.0925750i
\(250\) 1.55620 3.23148i 0.0984228 0.204377i
\(251\) −12.1551 + 5.85357i −0.767221 + 0.369474i −0.776201 0.630486i \(-0.782856\pi\)
0.00898020 + 0.999960i \(0.497141\pi\)
\(252\) 2.05960 + 7.66538i 0.129742 + 0.482874i
\(253\) −6.91743 3.33126i −0.434895 0.209434i
\(254\) 5.43327 4.33289i 0.340914 0.271870i
\(255\) 13.5705 + 6.15805i 0.849820 + 0.385632i
\(256\) 0.623490 0.781831i 0.0389681 0.0488645i
\(257\) −5.36600 + 23.5100i −0.334722 + 1.46651i 0.475150 + 0.879905i \(0.342394\pi\)
−0.809872 + 0.586607i \(0.800463\pi\)
\(258\) 0.367464 + 16.1101i 0.0228773 + 1.00297i
\(259\) −1.64539 + 2.03172i −0.102240 + 0.126245i
\(260\) 2.36484 1.88590i 0.146661 0.116958i
\(261\) 6.16457 1.70616i 0.381577 0.105609i
\(262\) 17.2803 + 3.94413i 1.06758 + 0.243669i
\(263\) 27.0347i 1.66703i 0.552496 + 0.833515i \(0.313675\pi\)
−0.552496 + 0.833515i \(0.686325\pi\)
\(264\) −2.38416 2.85363i −0.146735 0.175629i
\(265\) 8.46250 + 1.93151i 0.519847 + 0.118652i
\(266\) −3.36280 + 1.58839i −0.206187 + 0.0973906i
\(267\) −6.92549 + 9.10262i −0.423833 + 0.557071i
\(268\) 2.41088 + 10.5627i 0.147268 + 0.645222i
\(269\) −0.807485 1.01255i −0.0492332 0.0617365i 0.756605 0.653872i \(-0.226856\pi\)
−0.805838 + 0.592135i \(0.798285\pi\)
\(270\) 6.42098 16.0582i 0.390769 0.977273i
\(271\) 17.6032 4.01782i 1.06932 0.244065i 0.348585 0.937277i \(-0.386662\pi\)
0.720733 + 0.693212i \(0.243805\pi\)
\(272\) 0.575231 + 2.52025i 0.0348785 + 0.152813i
\(273\) −3.21597 + 2.64606i −0.194639 + 0.160147i
\(274\) 0.489010 2.14249i 0.0295421 0.129433i
\(275\) 13.0480i 0.786824i
\(276\) 4.75349 3.97145i 0.286127 0.239053i
\(277\) 1.05676 4.62998i 0.0634947 0.278188i −0.933207 0.359339i \(-0.883002\pi\)
0.996702 + 0.0811505i \(0.0258594\pi\)
\(278\) 17.9911 8.66404i 1.07903 0.519634i
\(279\) 14.7409 + 27.3453i 0.882516 + 1.63712i
\(280\) −8.59959 + 1.89486i −0.513924 + 0.113240i
\(281\) −4.45103 3.54958i −0.265526 0.211750i 0.481672 0.876352i \(-0.340030\pi\)
−0.747198 + 0.664602i \(0.768601\pi\)
\(282\) −10.2224 20.0444i −0.608733 1.19363i
\(283\) 2.47722 + 1.97552i 0.147255 + 0.117432i 0.694347 0.719641i \(-0.255693\pi\)
−0.547091 + 0.837073i \(0.684265\pi\)
\(284\) 6.83695 + 14.1971i 0.405698 + 0.842441i
\(285\) 7.93932 + 1.62256i 0.470285 + 0.0961121i
\(286\) 0.846543 1.75787i 0.0500571 0.103945i
\(287\) −6.95547 8.85775i −0.410568 0.522857i
\(288\) 2.89130 0.800225i 0.170372 0.0471537i
\(289\) 9.29568 + 4.47657i 0.546805 + 0.263327i
\(290\) 1.57908 + 6.91838i 0.0927265 + 0.406262i
\(291\) 31.9138 8.05399i 1.87082 0.472133i
\(292\) −8.78824 7.00839i −0.514293 0.410135i
\(293\) 11.6416 0.680112 0.340056 0.940405i \(-0.389554\pi\)
0.340056 + 0.940405i \(0.389554\pi\)
\(294\) 11.7991 2.78959i 0.688136 0.162692i
\(295\) 38.7050 2.25349
\(296\) 0.772574 + 0.616107i 0.0449049 + 0.0358105i
\(297\) −0.762632 11.1295i −0.0442524 0.645798i
\(298\) 0.706177 + 3.09396i 0.0409077 + 0.179228i
\(299\) 2.92820 + 1.41014i 0.169342 + 0.0815508i
\(300\) 9.58597 + 4.34993i 0.553446 + 0.251143i
\(301\) 24.6143 + 0.185151i 1.41874 + 0.0106719i
\(302\) 7.14521 14.8372i 0.411160 0.853783i
\(303\) −4.65066 + 22.7561i −0.267173 + 1.30730i
\(304\) 0.609899 + 1.26647i 0.0349801 + 0.0726370i
\(305\) 31.1622 + 24.8510i 1.78434 + 1.42297i
\(306\) −3.04277 + 7.13335i −0.173944 + 0.407786i
\(307\) 6.29243 + 5.01805i 0.359128 + 0.286395i 0.786387 0.617734i \(-0.211949\pi\)
−0.427259 + 0.904129i \(0.640521\pi\)
\(308\) −4.46743 + 3.50801i −0.254555 + 0.199887i
\(309\) 11.1166 + 2.27191i 0.632404 + 0.129244i
\(310\) −31.0520 + 14.9538i −1.76363 + 0.849321i
\(311\) 4.60224 20.1637i 0.260969 1.14338i −0.659233 0.751938i \(-0.729119\pi\)
0.920203 0.391442i \(-0.128024\pi\)
\(312\) 1.00923 + 1.20796i 0.0571364 + 0.0683875i
\(313\) 6.39771i 0.361620i −0.983518 0.180810i \(-0.942128\pi\)
0.983518 0.180810i \(-0.0578719\pi\)
\(314\) 2.05213 8.99099i 0.115809 0.507391i
\(315\) −24.2207 10.5475i −1.36468 0.594284i
\(316\) −0.928172 4.06659i −0.0522138 0.228763i
\(317\) 22.5375 5.14403i 1.26583 0.288918i 0.463660 0.886013i \(-0.346536\pi\)
0.802170 + 0.597096i \(0.203679\pi\)
\(318\) −0.904472 + 4.42566i −0.0507203 + 0.248179i
\(319\) 2.85396 + 3.57876i 0.159791 + 0.200372i
\(320\) 0.740618 + 3.24486i 0.0414018 + 0.181393i
\(321\) −2.18183 1.65999i −0.121778 0.0926514i
\(322\) −5.84352 7.44170i −0.325647 0.414710i
\(323\) −3.54266 0.808588i −0.197119 0.0449910i
\(324\) 8.43073 + 3.15005i 0.468374 + 0.175003i
\(325\) 5.52331i 0.306378i
\(326\) 20.2128 + 4.61344i 1.11948 + 0.255515i
\(327\) −13.1652 5.97412i −0.728039 0.330370i
\(328\) −3.32805 + 2.65403i −0.183761 + 0.146544i
\(329\) −31.0777 + 14.6793i −1.71337 + 0.809296i
\(330\) 12.3732 0.282226i 0.681121 0.0155360i
\(331\) −4.67614 + 20.4875i −0.257024 + 1.12610i 0.667391 + 0.744708i \(0.267411\pi\)
−0.924415 + 0.381388i \(0.875446\pi\)
\(332\) 0.660744 0.828546i 0.0362630 0.0454724i
\(333\) 0.790749 + 2.85707i 0.0433328 + 0.156566i
\(334\) 4.70446 3.75168i 0.257417 0.205283i
\(335\) −32.4891 15.6459i −1.77507 0.854827i
\(336\) −1.08788 4.45157i −0.0593487 0.242853i
\(337\) 17.3883 8.37376i 0.947201 0.456148i 0.104497 0.994525i \(-0.466677\pi\)
0.842704 + 0.538377i \(0.180962\pi\)
\(338\) 5.28214 10.9685i 0.287311 0.596607i
\(339\) 2.47068 + 1.87975i 0.134189 + 0.102094i
\(340\) −7.75184 3.73309i −0.420403 0.202455i
\(341\) −13.8610 + 17.3812i −0.750617 + 0.941244i
\(342\) −0.749944 + 4.14980i −0.0405523 + 0.224396i
\(343\) −3.71268 18.1443i −0.200466 0.979701i
\(344\) 9.30359i 0.501616i
\(345\) 0.470123 + 20.6108i 0.0253106 + 1.10965i
\(346\) 2.72939 5.66764i 0.146733 0.304694i
\(347\) −25.6529 + 5.85511i −1.37712 + 0.314319i −0.846093 0.533035i \(-0.821051\pi\)
−0.531028 + 0.847354i \(0.678194\pi\)
\(348\) −3.58065 + 0.903638i −0.191943 + 0.0484401i
\(349\) 3.95094 + 8.20422i 0.211489 + 0.439162i 0.979546 0.201220i \(-0.0644906\pi\)
−0.768057 + 0.640381i \(0.778776\pi\)
\(350\) 7.08558 14.4346i 0.378740 0.771561i
\(351\) 0.322828 + 4.71119i 0.0172313 + 0.251465i
\(352\) 1.33856 + 1.67851i 0.0713457 + 0.0894647i
\(353\) −13.7970 + 6.64430i −0.734342 + 0.353641i −0.763390 0.645937i \(-0.776467\pi\)
0.0290480 + 0.999578i \(0.490752\pi\)
\(354\) 0.459311 + 20.1368i 0.0244121 + 1.07026i
\(355\) −51.1310 11.6703i −2.71375 0.619397i
\(356\) 4.11724 5.16285i 0.218213 0.273631i
\(357\) 10.7504 + 4.97618i 0.568973 + 0.263368i
\(358\) −3.78852 4.75065i −0.200229 0.251080i
\(359\) −10.4479 21.6954i −0.551422 1.14504i −0.971388 0.237499i \(-0.923672\pi\)
0.419966 0.907540i \(-0.362042\pi\)
\(360\) −3.91761 + 9.18428i −0.206476 + 0.484054i
\(361\) 17.0241 0.896004
\(362\) 1.40882 0.0740461
\(363\) −9.86097 + 5.02896i −0.517567 + 0.263952i
\(364\) 1.89109 1.48496i 0.0991202 0.0778333i
\(365\) 36.4741 8.32498i 1.90914 0.435749i
\(366\) −12.5593 + 16.5075i −0.656486 + 0.862862i
\(367\) −2.74971 + 2.19282i −0.143534 + 0.114464i −0.692624 0.721298i \(-0.743546\pi\)
0.549091 + 0.835763i \(0.314974\pi\)
\(368\) −2.79600 + 2.22974i −0.145752 + 0.116233i
\(369\) −12.7569 + 0.582261i −0.664098 + 0.0303113i
\(370\) −3.20644 + 0.731848i −0.166695 + 0.0380470i
\(371\) 6.71531 + 1.58596i 0.348641 + 0.0823390i
\(372\) −8.14845 15.9778i −0.422477 0.828410i
\(373\) −26.6702 −1.38093 −0.690467 0.723364i \(-0.742595\pi\)
−0.690467 + 0.723364i \(0.742595\pi\)
\(374\) −5.54986 −0.286976
\(375\) −5.53417 + 2.82235i −0.285783 + 0.145746i
\(376\) 5.63645 + 11.7042i 0.290678 + 0.603599i
\(377\) −1.20810 1.51491i −0.0622205 0.0780220i
\(378\) 5.20007 12.7263i 0.267463 0.654571i
\(379\) 5.62600 7.05478i 0.288988 0.362380i −0.616052 0.787705i \(-0.711269\pi\)
0.905040 + 0.425325i \(0.139840\pi\)
\(380\) −4.56122 1.04107i −0.233985 0.0534056i
\(381\) −12.0336 + 0.274481i −0.616500 + 0.0140621i
\(382\) −12.2930 + 5.92000i −0.628965 + 0.302894i
\(383\) −6.89488 8.64591i −0.352312 0.441785i 0.573822 0.818980i \(-0.305460\pi\)
−0.926134 + 0.377195i \(0.876889\pi\)
\(384\) −1.67940 + 0.423824i −0.0857014 + 0.0216282i
\(385\) 0.142203 18.9047i 0.00724733 0.963474i
\(386\) 4.57784 + 9.50599i 0.233006 + 0.483842i
\(387\) 16.3890 22.5923i 0.833101 1.14843i
\(388\) −18.5267 + 4.22860i −0.940551 + 0.214675i
\(389\) −8.10779 + 16.8360i −0.411081 + 0.853619i 0.587919 + 0.808919i \(0.299947\pi\)
−0.999000 + 0.0446991i \(0.985767\pi\)
\(390\) −5.23765 + 0.119468i −0.265219 + 0.00604951i
\(391\) 9.24478i 0.467528i
\(392\) −6.84716 + 1.45481i −0.345834 + 0.0734789i
\(393\) −19.6836 23.5596i −0.992906 1.18843i
\(394\) 0.467822 0.586630i 0.0235685 0.0295540i
\(395\) 12.5081 + 6.02358i 0.629350 + 0.303079i
\(396\) 0.293665 + 6.43398i 0.0147572 + 0.323319i
\(397\) 1.55775 3.23469i 0.0781810 0.162345i −0.858214 0.513291i \(-0.828426\pi\)
0.936395 + 0.350947i \(0.114140\pi\)
\(398\) −11.5191 + 5.54729i −0.577398 + 0.278060i
\(399\) 6.30128 + 1.33725i 0.315458 + 0.0669461i
\(400\) −5.47575 2.63698i −0.273788 0.131849i
\(401\) −7.94093 + 6.33268i −0.396551 + 0.316239i −0.801382 0.598153i \(-0.795902\pi\)
0.404831 + 0.914391i \(0.367330\pi\)
\(402\) 7.75446 17.0886i 0.386758 0.852301i
\(403\) 5.86747 7.35758i 0.292280 0.366507i
\(404\) 2.98396 13.0736i 0.148458 0.650435i
\(405\) −25.6921 + 15.4014i −1.27665 + 0.765300i
\(406\) 1.21384 + 5.50888i 0.0602420 + 0.273401i
\(407\) −1.65863 + 1.32271i −0.0822153 + 0.0655645i
\(408\) 1.85020 4.07731i 0.0915987 0.201857i
\(409\) 20.7668 + 4.73988i 1.02685 + 0.234372i 0.702589 0.711595i \(-0.252027\pi\)
0.324262 + 0.945967i \(0.394884\pi\)
\(410\) 14.1677i 0.699693i
\(411\) −2.92102 + 2.44046i −0.144083 + 0.120379i
\(412\) −6.38662 1.45770i −0.314646 0.0718159i
\(413\) 30.7666 + 0.231429i 1.51393 + 0.0113879i
\(414\) −10.7175 + 0.489177i −0.526737 + 0.0240417i
\(415\) 0.784870 + 3.43874i 0.0385278 + 0.168801i
\(416\) −0.566624 0.710524i −0.0277810 0.0348363i
\(417\) −33.8861 6.92531i −1.65941 0.339134i
\(418\) −2.94217 + 0.671530i −0.143906 + 0.0328456i
\(419\) −4.99870 21.9007i −0.244202 1.06992i −0.937148 0.348931i \(-0.886545\pi\)
0.692946 0.720990i \(-0.256312\pi\)
\(420\) 13.8413 + 6.40690i 0.675387 + 0.312625i
\(421\) 3.93329 17.2329i 0.191697 0.839878i −0.784002 0.620759i \(-0.786825\pi\)
0.975698 0.219119i \(-0.0703183\pi\)
\(422\) 1.49456i 0.0727538i
\(423\) −6.93069 + 38.3509i −0.336982 + 1.86468i
\(424\) 0.580328 2.54258i 0.0281832 0.123479i
\(425\) 14.1552 6.81678i 0.686627 0.330662i
\(426\) 5.46489 26.7402i 0.264775 1.29557i
\(427\) 24.6223 + 19.9405i 1.19156 + 0.964987i
\(428\) 1.23750 + 0.986869i 0.0598166 + 0.0477021i
\(429\) −3.01048 + 1.53530i −0.145348 + 0.0741252i
\(430\) 24.2096 + 19.3065i 1.16749 + 0.931042i
\(431\) −6.89063 14.3085i −0.331910 0.689218i 0.666505 0.745500i \(-0.267789\pi\)
−0.998415 + 0.0562827i \(0.982075\pi\)
\(432\) −4.82475 1.92920i −0.232131 0.0928189i
\(433\) −0.556227 + 1.15502i −0.0267306 + 0.0555066i −0.913907 0.405925i \(-0.866950\pi\)
0.887176 + 0.461431i \(0.152664\pi\)
\(434\) −24.7727 + 11.7012i −1.18913 + 0.561674i
\(435\) 5.07902 11.1927i 0.243520 0.536648i
\(436\) 7.52032 + 3.62159i 0.360158 + 0.173443i
\(437\) −1.11861 4.90097i −0.0535106 0.234445i
\(438\) 4.76403 + 18.8774i 0.227634 + 0.901997i
\(439\) −19.8904 15.8621i −0.949318 0.757056i 0.0207760 0.999784i \(-0.493386\pi\)
−0.970094 + 0.242728i \(0.921958\pi\)
\(440\) −7.14551 −0.340649
\(441\) −19.1900 8.52905i −0.913809 0.406145i
\(442\) 2.34929 0.111745
\(443\) 10.0434 + 8.00933i 0.477176 + 0.380535i 0.832337 0.554270i \(-0.187003\pi\)
−0.355161 + 0.934805i \(0.615574\pi\)
\(444\) −0.418805 1.65951i −0.0198756 0.0787569i
\(445\) 4.89070 + 21.4275i 0.231841 + 1.01576i
\(446\) 3.58964 + 1.72868i 0.169974 + 0.0818552i
\(447\) 2.27138 5.00546i 0.107433 0.236750i
\(448\) 0.569316 + 2.58377i 0.0268977 + 0.122072i
\(449\) −4.19412 + 8.70919i −0.197933 + 0.411012i −0.976185 0.216940i \(-0.930392\pi\)
0.778252 + 0.627952i \(0.216107\pi\)
\(450\) −8.65173 16.0495i −0.407846 0.756579i
\(451\) −3.96515 8.23372i −0.186712 0.387711i
\(452\) −1.40133 1.11752i −0.0659128 0.0525637i
\(453\) −25.4098 + 12.9587i −1.19386 + 0.608851i
\(454\) −10.4748 8.35334i −0.491604 0.392041i
\(455\) −0.0601955 + 8.00250i −0.00282201 + 0.375163i
\(456\) 0.487503 2.38539i 0.0228294 0.111706i
\(457\) 29.4897 14.2015i 1.37947 0.664317i 0.410582 0.911824i \(-0.365325\pi\)
0.968886 + 0.247507i \(0.0796112\pi\)
\(458\) −5.78411 + 25.3418i −0.270274 + 1.18415i
\(459\) 11.6754 6.64181i 0.544963 0.310013i
\(460\) 11.9028i 0.554970i
\(461\) 1.39141 6.09617i 0.0648044 0.283927i −0.932134 0.362113i \(-0.882056\pi\)
0.996939 + 0.0781858i \(0.0249127\pi\)
\(462\) 9.83714 0.150359i 0.457665 0.00699533i
\(463\) 6.41734 + 28.1162i 0.298239 + 1.30667i 0.872748 + 0.488172i \(0.162336\pi\)
−0.574509 + 0.818498i \(0.694807\pi\)
\(464\) 2.07865 0.474438i 0.0964989 0.0220252i
\(465\) 58.4864 + 11.9529i 2.71224 + 0.554301i
\(466\) 13.5918 + 17.0436i 0.629628 + 0.789529i
\(467\) 3.27555 + 14.3511i 0.151574 + 0.664091i 0.992428 + 0.122828i \(0.0391964\pi\)
−0.840854 + 0.541263i \(0.817946\pi\)
\(468\) −0.124310 2.72355i −0.00574625 0.125896i
\(469\) −25.7321 12.6312i −1.18820 0.583255i
\(470\) −42.1530 9.62114i −1.94437 0.443790i
\(471\) −12.2581 + 10.2414i −0.564824 + 0.471899i
\(472\) 11.6290i 0.535269i
\(473\) 19.4730 + 4.44459i 0.895370 + 0.204362i
\(474\) −2.98542 + 6.57900i −0.137125 + 0.302183i
\(475\) 6.67932 5.32658i 0.306468 0.244400i
\(476\) −6.13963 3.01379i −0.281409 0.138137i
\(477\) 5.88820 5.15196i 0.269602 0.235892i
\(478\) 1.06044 4.64609i 0.0485034 0.212507i
\(479\) 18.5880 23.3086i 0.849306 1.06500i −0.147804 0.989017i \(-0.547220\pi\)
0.997109 0.0759790i \(-0.0242082\pi\)
\(480\) 2.38216 5.24959i 0.108730 0.239610i
\(481\) 0.702111 0.559915i 0.0320135 0.0255299i
\(482\) 3.93441 + 1.89471i 0.179207 + 0.0863017i
\(483\) 0.250463 + 16.3864i 0.0113965 + 0.745607i
\(484\) 5.75796 2.77289i 0.261726 0.126040i
\(485\) 27.4424 56.9848i 1.24610 2.58754i
\(486\) −8.31767 13.1839i −0.377297 0.598036i
\(487\) −34.8914 16.8028i −1.58108 0.761407i −0.582405 0.812899i \(-0.697888\pi\)
−0.998673 + 0.0514919i \(0.983602\pi\)
\(488\) 7.46657 9.36279i 0.337996 0.423833i
\(489\) −23.0239 27.5577i −1.04118 1.24620i
\(490\) 10.4233 20.8365i 0.470877 0.941295i
\(491\) 27.5851i 1.24490i −0.782661 0.622449i \(-0.786138\pi\)
0.782661 0.622449i \(-0.213862\pi\)
\(492\) 7.37096 0.168128i 0.332308 0.00757980i
\(493\) −2.39141 + 4.96581i −0.107704 + 0.223649i
\(494\) 1.24544 0.284264i 0.0560350 0.0127896i
\(495\) −17.3517 12.5874i −0.779902 0.565761i
\(496\) 4.49293 + 9.32966i 0.201738 + 0.418914i
\(497\) −40.5744 9.58249i −1.82001 0.429833i
\(498\) −1.77974 + 0.449148i −0.0797521 + 0.0201268i
\(499\) −2.51672 3.15586i −0.112664 0.141276i 0.722302 0.691578i \(-0.243084\pi\)
−0.834966 + 0.550302i \(0.814513\pi\)
\(500\) 3.23148 1.55620i 0.144516 0.0695954i
\(501\) −10.4194 + 0.237663i −0.465507 + 0.0106180i
\(502\) −13.1529 3.00205i −0.587040 0.133988i
\(503\) 7.65965 9.60490i 0.341527 0.428261i −0.581173 0.813780i \(-0.697406\pi\)
0.922700 + 0.385519i \(0.125977\pi\)
\(504\) −3.16903 + 7.27717i −0.141160 + 0.324151i
\(505\) 27.8275 + 34.8946i 1.23831 + 1.55279i
\(506\) −3.33126 6.91743i −0.148092 0.307517i
\(507\) −18.7844 + 9.57978i −0.834244 + 0.425453i
\(508\) 6.94941 0.308330
\(509\) −13.4674 −0.596932 −0.298466 0.954420i \(-0.596475\pi\)
−0.298466 + 0.954420i \(0.596475\pi\)
\(510\) 6.77039 + 13.2756i 0.299798 + 0.587855i
\(511\) 29.0431 6.39945i 1.28479 0.283095i
\(512\) 0.974928 0.222521i 0.0430861 0.00983413i
\(513\) 5.38588 4.93377i 0.237793 0.217831i
\(514\) −18.8535 + 15.0352i −0.831594 + 0.663174i
\(515\) 17.0465 13.5941i 0.751158 0.599029i
\(516\) −9.75719 + 12.8245i −0.429536 + 0.564567i
\(517\) −27.1904 + 6.20602i −1.19583 + 0.272941i
\(518\) −2.55318 + 0.562575i −0.112180 + 0.0247181i
\(519\) −9.70628 + 4.95007i −0.426058 + 0.217284i
\(520\) 3.02475 0.132644
\(521\) 22.9088 1.00365 0.501826 0.864969i \(-0.332662\pi\)
0.501826 + 0.864969i \(0.332662\pi\)
\(522\) 5.88343 + 2.50961i 0.257511 + 0.109843i
\(523\) 3.87409 + 8.04463i 0.169402 + 0.351767i 0.968336 0.249652i \(-0.0803163\pi\)
−0.798933 + 0.601420i \(0.794602\pi\)
\(524\) 11.0512 + 13.8578i 0.482774 + 0.605379i
\(525\) −24.9054 + 12.4663i −1.08696 + 0.544072i
\(526\) −16.8559 + 21.1366i −0.734950 + 0.921598i
\(527\) −26.0976 5.95660i −1.13683 0.259474i
\(528\) −0.0847957 3.71756i −0.00369026 0.161786i
\(529\) −9.19946 + 4.43022i −0.399976 + 0.192618i
\(530\) 5.41197 + 6.78640i 0.235081 + 0.294782i
\(531\) 20.4855 28.2392i 0.888994 1.22548i
\(532\) −3.61949 0.854819i −0.156925 0.0370611i
\(533\) 1.67848 + 3.48539i 0.0727029 + 0.150969i
\(534\) −11.0900 + 2.79874i −0.479909 + 0.121113i
\(535\) −5.13601 + 1.17226i −0.222049 + 0.0506813i
\(536\) −4.70086 + 9.76144i −0.203046 + 0.421630i
\(537\) 0.239996 + 10.5217i 0.0103566 + 0.454047i
\(538\) 1.29511i 0.0558359i
\(539\) 0.226075 15.0265i 0.00973772 0.647239i
\(540\) 15.0323 8.55142i 0.646886 0.367994i
\(541\) 12.6874 15.9094i 0.545472 0.684001i −0.430326 0.902674i \(-0.641601\pi\)
0.975798 + 0.218673i \(0.0701728\pi\)
\(542\) 16.2678 + 7.83416i 0.698762 + 0.336506i
\(543\) −1.94199 1.47751i −0.0833386 0.0634061i
\(544\) −1.12162 + 2.32906i −0.0480890 + 0.0998578i
\(545\) −25.0299 + 12.0538i −1.07216 + 0.516327i
\(546\) −4.16413 + 0.0636480i −0.178208 + 0.00272388i
\(547\) −34.2100 16.4747i −1.46271 0.704406i −0.477963 0.878380i \(-0.658625\pi\)
−0.984750 + 0.173974i \(0.944339\pi\)
\(548\) 1.71814 1.37017i 0.0733955 0.0585309i
\(549\) 34.6247 9.58306i 1.47775 0.408995i
\(550\) 8.13530 10.2013i 0.346890 0.434987i
\(551\) −0.666906 + 2.92190i −0.0284111 + 0.124477i
\(552\) 6.19259 0.141250i 0.263574 0.00601200i
\(553\) 9.90668 + 4.86294i 0.421275 + 0.206793i
\(554\) 3.71295 2.96098i 0.157748 0.125800i
\(555\) 5.18743 + 2.35395i 0.220194 + 0.0999198i
\(556\) 19.4679 + 4.44342i 0.825623 + 0.188443i
\(557\) 24.0853i 1.02053i 0.860018 + 0.510263i \(0.170452\pi\)
−0.860018 + 0.510263i \(0.829548\pi\)
\(558\) −5.52459 + 30.5702i −0.233875 + 1.29414i
\(559\) −8.24307 1.88143i −0.348645 0.0795759i
\(560\) −7.90485 3.88029i −0.334041 0.163972i
\(561\) 7.65018 + 5.82044i 0.322991 + 0.245739i
\(562\) −1.26683 5.55034i −0.0534380 0.234127i
\(563\) −5.00702 6.27860i −0.211021 0.264611i 0.665045 0.746803i \(-0.268412\pi\)
−0.876066 + 0.482192i \(0.839841\pi\)
\(564\) 4.50531 22.0449i 0.189708 0.928257i
\(565\) 5.81597 1.32746i 0.244680 0.0558465i
\(566\) 0.705054 + 3.08904i 0.0296356 + 0.129842i
\(567\) −20.5148 + 12.0889i −0.861541 + 0.507688i
\(568\) −3.50639 + 15.3625i −0.147125 + 0.644595i
\(569\) 0.285344i 0.0119622i 0.999982 + 0.00598111i \(0.00190386\pi\)
−0.999982 + 0.00598111i \(0.998096\pi\)
\(570\) 5.19556 + 6.21865i 0.217618 + 0.260471i
\(571\) −4.05854 + 17.7816i −0.169845 + 0.744137i 0.816216 + 0.577748i \(0.196068\pi\)
−0.986060 + 0.166390i \(0.946789\pi\)
\(572\) 1.75787 0.846543i 0.0735000 0.0353957i
\(573\) 23.1539 + 4.73196i 0.967267 + 0.197680i
\(574\) 0.0847132 11.2619i 0.00353586 0.470064i
\(575\) 16.9931 + 13.5515i 0.708660 + 0.565138i
\(576\) 2.75944 + 1.17706i 0.114977 + 0.0490441i
\(577\) −21.1737 16.8854i −0.881471 0.702950i 0.0742450 0.997240i \(-0.476345\pi\)
−0.955716 + 0.294290i \(0.904917\pi\)
\(578\) 4.47657 + 9.29568i 0.186201 + 0.386650i
\(579\) 3.65915 17.9045i 0.152069 0.744087i
\(580\) −3.07897 + 6.39355i −0.127847 + 0.265478i
\(581\) 0.603333 + 2.73815i 0.0250305 + 0.113598i
\(582\) 29.9728 + 13.6011i 1.24241 + 0.563783i
\(583\) 5.04455 + 2.42933i 0.208924 + 0.100613i
\(584\) −2.50126 10.9588i −0.103503 0.453477i
\(585\) 7.34511 + 5.32834i 0.303683 + 0.220300i
\(586\) 9.10181 + 7.25845i 0.375992 + 0.299844i
\(587\) 36.5623 1.50909 0.754544 0.656250i \(-0.227858\pi\)
0.754544 + 0.656250i \(0.227858\pi\)
\(588\) 10.9642 + 5.17562i 0.452155 + 0.213439i
\(589\) −14.5560 −0.599768
\(590\) 30.2608 + 24.1322i 1.24582 + 0.993505i
\(591\) −1.26010 + 0.318007i −0.0518335 + 0.0130811i
\(592\) 0.219886 + 0.963384i 0.00903726 + 0.0395948i
\(593\) 10.9940 + 5.29441i 0.451468 + 0.217415i 0.645779 0.763525i \(-0.276533\pi\)
−0.194311 + 0.980940i \(0.562247\pi\)
\(594\) 6.34286 9.17687i 0.260251 0.376531i
\(595\) 20.5832 9.72228i 0.843827 0.398575i
\(596\) −1.37694 + 2.85925i −0.0564018 + 0.117119i
\(597\) 21.6961 + 4.43404i 0.887964 + 0.181473i
\(598\) 1.41014 + 2.92820i 0.0576651 + 0.119743i
\(599\) −3.30701 2.63726i −0.135121 0.107755i 0.553597 0.832785i \(-0.313255\pi\)
−0.688718 + 0.725029i \(0.741826\pi\)
\(600\) 4.78248 + 9.37766i 0.195244 + 0.382842i
\(601\) −18.1349 14.4621i −0.739737 0.589921i 0.179438 0.983769i \(-0.442572\pi\)
−0.919175 + 0.393849i \(0.871143\pi\)
\(602\) 19.1288 + 15.4915i 0.779631 + 0.631387i
\(603\) −28.6108 + 15.4231i −1.16512 + 0.628079i
\(604\) 14.8372 7.14521i 0.603716 0.290734i
\(605\) −4.73318 + 20.7374i −0.192431 + 0.843097i
\(606\) −17.8242 + 14.8918i −0.724059 + 0.604937i
\(607\) 26.5340i 1.07698i 0.842632 + 0.538490i \(0.181005\pi\)
−0.842632 + 0.538490i \(0.818995\pi\)
\(608\) −0.312792 + 1.37043i −0.0126854 + 0.0555783i
\(609\) 4.10425 8.86671i 0.166312 0.359297i
\(610\) 8.86924 + 38.8587i 0.359105 + 1.57334i
\(611\) 11.5099 2.62705i 0.465640 0.106279i
\(612\) −6.82650 + 3.67994i −0.275945 + 0.148753i
\(613\) 5.38174 + 6.74849i 0.217367 + 0.272569i 0.878545 0.477660i \(-0.158515\pi\)
−0.661178 + 0.750229i \(0.729943\pi\)
\(614\) 1.79092 + 7.84653i 0.0722756 + 0.316660i
\(615\) −14.8585 + 19.5294i −0.599151 + 0.787502i
\(616\) −5.67998 0.0427253i −0.228853 0.00172145i
\(617\) −18.8483 4.30201i −0.758805 0.173192i −0.174423 0.984671i \(-0.555806\pi\)
−0.584382 + 0.811479i \(0.698663\pi\)
\(618\) 7.27483 + 8.70737i 0.292637 + 0.350262i
\(619\) 9.02598i 0.362785i 0.983411 + 0.181392i \(0.0580604\pi\)
−0.983411 + 0.181392i \(0.941940\pi\)
\(620\) −33.6010 7.66920i −1.34945 0.308003i
\(621\) 15.2865 + 10.5657i 0.613428 + 0.423989i
\(622\) 16.1701 12.8952i 0.648360 0.517050i
\(623\) 3.75950 + 17.0620i 0.150621 + 0.683576i
\(624\) 0.0358946 + 1.57367i 0.00143694 + 0.0629972i
\(625\) 4.10564 17.9880i 0.164226 0.719519i
\(626\) 3.98891 5.00193i 0.159429 0.199917i
\(627\) 4.75989 + 2.15994i 0.190092 + 0.0862599i
\(628\) 7.21021 5.74995i 0.287719 0.229448i
\(629\) −2.30149 1.10834i −0.0917662 0.0441923i
\(630\) −12.3602 23.3477i −0.492443 0.930195i
\(631\) −0.967317 + 0.465835i −0.0385083 + 0.0185446i −0.453039 0.891491i \(-0.649660\pi\)
0.414531 + 0.910035i \(0.363946\pi\)
\(632\) 1.80980 3.75809i 0.0719900 0.149489i
\(633\) 1.56742 2.06016i 0.0622995 0.0818842i
\(634\) 20.8278 + 10.0301i 0.827176 + 0.398347i
\(635\) −14.4212 + 18.0836i −0.572287 + 0.717625i
\(636\) −3.46650 + 2.89619i −0.137456 + 0.114841i
\(637\) −0.0956990 + 6.36084i −0.00379173 + 0.252026i
\(638\) 4.57740i 0.181221i
\(639\) −35.5769 + 31.1285i −1.40740 + 1.23143i
\(640\) −1.44410 + 2.99870i −0.0570830 + 0.118534i
\(641\) 29.0733 6.63579i 1.14833 0.262098i 0.394325 0.918971i \(-0.370979\pi\)
0.754001 + 0.656873i \(0.228121\pi\)
\(642\) −0.670835 2.65818i −0.0264758 0.104910i
\(643\) −3.57306 7.41953i −0.140908 0.292598i 0.818558 0.574424i \(-0.194774\pi\)
−0.959465 + 0.281827i \(0.909060\pi\)
\(644\) 0.0711704 9.46153i 0.00280451 0.372837i
\(645\) −13.1238 52.0029i −0.516749 2.04761i
\(646\) −2.26561 2.84099i −0.0891394 0.111777i
\(647\) 31.9678 15.3949i 1.25678 0.605236i 0.317462 0.948271i \(-0.397169\pi\)
0.939322 + 0.343035i \(0.111455\pi\)
\(648\) 4.62739 + 7.71928i 0.181781 + 0.303242i
\(649\) 24.3403 + 5.55552i 0.955440 + 0.218073i
\(650\) −3.44373 + 4.31830i −0.135074 + 0.169378i
\(651\) 46.4194 + 9.85105i 1.81932 + 0.386093i
\(652\) 12.9266 + 16.2094i 0.506244 + 0.634810i
\(653\) 2.84812 + 5.91418i 0.111456 + 0.231440i 0.949234 0.314570i \(-0.101860\pi\)
−0.837779 + 0.546010i \(0.816146\pi\)
\(654\) −6.56818 12.8791i −0.256836 0.503614i
\(655\) −58.9934 −2.30506
\(656\) −4.25673 −0.166197
\(657\) 13.2308 31.0178i 0.516183 1.21012i
\(658\) −33.4499 7.89991i −1.30401 0.307971i
\(659\) −21.4339 + 4.89215i −0.834946 + 0.190571i −0.618561 0.785737i \(-0.712284\pi\)
−0.216385 + 0.976308i \(0.569427\pi\)
\(660\) 9.84970 + 7.49389i 0.383399 + 0.291699i
\(661\) 19.9653 15.9218i 0.776562 0.619287i −0.152885 0.988244i \(-0.548856\pi\)
0.929447 + 0.368957i \(0.120285\pi\)
\(662\) −16.4297 + 13.1023i −0.638559 + 0.509234i
\(663\) −3.23837 2.46383i −0.125768 0.0956874i
\(664\) 1.03318 0.235817i 0.0400952 0.00915146i
\(665\) 9.73544 7.64466i 0.377524 0.296447i
\(666\) −1.16312 + 2.72677i −0.0450700 + 0.105660i
\(667\) −7.62489 −0.295237
\(668\) 6.01723 0.232814
\(669\) −3.13516 6.14754i −0.121212 0.237677i
\(670\) −15.6459 32.4891i −0.604454 1.25516i
\(671\) 16.0299 + 20.1009i 0.618828 + 0.775986i
\(672\) 1.92497 4.15866i 0.0742574 0.160424i
\(673\) −3.71310 + 4.65608i −0.143129 + 0.179479i −0.848229 0.529630i \(-0.822331\pi\)
0.705100 + 0.709108i \(0.250902\pi\)
\(674\) 18.8157 + 4.29456i 0.724753 + 0.165420i
\(675\) −4.90603 + 31.1969i −0.188833 + 1.20077i
\(676\) 10.9685 5.28214i 0.421865 0.203159i
\(677\) −27.7958 34.8549i −1.06828 1.33958i −0.937428 0.348179i \(-0.886800\pi\)
−0.130852 0.991402i \(-0.541771\pi\)
\(678\) 0.759647 + 3.01009i 0.0291741 + 0.115602i
\(679\) 22.1548 45.1332i 0.850221 1.73205i
\(680\) −3.73309 7.75184i −0.143157 0.297270i
\(681\) 5.67827 + 22.5001i 0.217592 + 0.862205i
\(682\) −21.6740 + 4.94694i −0.829939 + 0.189428i
\(683\) 9.31972 19.3526i 0.356609 0.740507i −0.643071 0.765807i \(-0.722340\pi\)
0.999680 + 0.0253000i \(0.00805411\pi\)
\(684\) −3.17369 + 2.77686i −0.121349 + 0.106176i
\(685\) 7.31425i 0.279463i
\(686\) 8.41010 16.5006i 0.321099 0.629996i
\(687\) 34.5505 28.8662i 1.31818 1.10132i
\(688\) 5.80070 7.27384i 0.221149 0.277313i
\(689\) −2.13540 1.02835i −0.0813521 0.0391771i
\(690\) −12.4831 + 16.4073i −0.475223 + 0.624616i
\(691\) −8.55898 + 17.7729i −0.325599 + 0.676113i −0.997942 0.0641269i \(-0.979574\pi\)
0.672343 + 0.740240i \(0.265288\pi\)
\(692\) 5.66764 2.72939i 0.215451 0.103756i
\(693\) −13.7177 10.1095i −0.521091 0.384028i
\(694\) −23.7069 11.4166i −0.899900 0.433369i
\(695\) −51.9617 + 41.4381i −1.97102 + 1.57184i
\(696\) −3.36288 1.52601i −0.127469 0.0578432i
\(697\) 6.86084 8.60322i 0.259873 0.325870i
\(698\) −2.02627 + 8.87769i −0.0766956 + 0.336025i
\(699\) −0.861017 37.7481i −0.0325667 1.42777i
\(700\) 14.5396 6.86763i 0.549543 0.259572i
\(701\) 35.4420 28.2641i 1.33863 1.06752i 0.347071 0.937839i \(-0.387176\pi\)
0.991556 0.129681i \(-0.0413952\pi\)
\(702\) −2.68498 + 3.88463i −0.101338 + 0.146616i
\(703\) −1.35420 0.309088i −0.0510748 0.0116575i
\(704\) 2.14689i 0.0809140i
\(705\) 48.0154 + 57.4704i 1.80836 + 2.16446i
\(706\) −14.9296 3.40759i −0.561884 0.128246i
\(707\) 21.9115 + 27.9042i 0.824067 + 1.04944i
\(708\) −12.1960 + 16.0300i −0.458354 + 0.602444i
\(709\) −2.08770 9.14683i −0.0784054 0.343516i 0.920476 0.390799i \(-0.127801\pi\)
−0.998882 + 0.0472823i \(0.984944\pi\)
\(710\) −32.6995 41.0039i −1.22719 1.53885i
\(711\) 11.0150 5.93781i 0.413095 0.222685i
\(712\) 6.43797 1.46942i 0.241273 0.0550690i
\(713\) −8.24046 36.1038i −0.308608 1.35210i
\(714\) 5.30242 + 10.5933i 0.198438 + 0.396445i
\(715\) −1.44501 + 6.33099i −0.0540402 + 0.236766i
\(716\) 6.07631i 0.227082i
\(717\) −6.33437 + 5.29224i −0.236561 + 0.197642i
\(718\) 5.35832 23.4763i 0.199971 0.876129i
\(719\) 2.87407 1.38408i 0.107185 0.0516174i −0.379523 0.925182i \(-0.623912\pi\)
0.486708 + 0.873565i \(0.338198\pi\)
\(720\) −8.78921 + 4.73797i −0.327555 + 0.176574i
\(721\) 13.6316 10.7041i 0.507666 0.398640i
\(722\) 13.3100 + 10.6143i 0.495345 + 0.395025i
\(723\) −3.43628 6.73799i −0.127797 0.250588i
\(724\) 1.10146 + 0.878387i 0.0409355 + 0.0326450i
\(725\) −5.62233 11.6749i −0.208808 0.433594i
\(726\) −10.8451 2.21642i −0.402500 0.0822590i
\(727\) −16.7712 + 34.8257i −0.622008 + 1.29161i 0.317231 + 0.948348i \(0.397247\pi\)
−0.939239 + 0.343264i \(0.888467\pi\)
\(728\) 2.40438 + 0.0180859i 0.0891121 + 0.000670309i
\(729\) −2.36126 + 26.8966i −0.0874542 + 0.996169i
\(730\) 33.7071 + 16.2325i 1.24756 + 0.600792i
\(731\) 5.35172 + 23.4474i 0.197940 + 0.867234i
\(732\) −20.1115 + 5.07549i −0.743344 + 0.187595i
\(733\) 12.3848 + 9.87658i 0.457445 + 0.364800i 0.824935 0.565227i \(-0.191212\pi\)
−0.367491 + 0.930027i \(0.619783\pi\)
\(734\) −3.51702 −0.129815
\(735\) −36.2203 + 17.7904i −1.33601 + 0.656210i
\(736\) −3.57622 −0.131821
\(737\) −18.1856 14.5025i −0.669874 0.534207i
\(738\) −10.3368 7.49858i −0.380503 0.276026i
\(739\) 6.15020 + 26.9458i 0.226239 + 0.991217i 0.952677 + 0.303985i \(0.0983173\pi\)
−0.726438 + 0.687232i \(0.758826\pi\)
\(740\) −2.96319 1.42700i −0.108929 0.0524575i
\(741\) −2.01489 0.914320i −0.0740190 0.0335884i
\(742\) 4.26141 + 5.42688i 0.156441 + 0.199227i
\(743\) −18.3000 + 38.0004i −0.671362 + 1.39410i 0.235167 + 0.971955i \(0.424436\pi\)
−0.906529 + 0.422143i \(0.861278\pi\)
\(744\) 3.59127 17.5724i 0.131662 0.644236i
\(745\) −4.58289 9.51646i −0.167904 0.348656i
\(746\) −20.8516 16.6286i −0.763433 0.608817i
\(747\) 2.92432 + 1.24739i 0.106995 + 0.0456395i
\(748\) −4.33905 3.46028i −0.158651 0.126520i
\(749\) −4.08964 + 0.901123i −0.149432 + 0.0329263i
\(750\) −6.08650 1.24390i −0.222247 0.0454207i
\(751\) −3.13095 + 1.50778i −0.114250 + 0.0550198i −0.490136 0.871646i \(-0.663053\pi\)
0.375886 + 0.926666i \(0.377338\pi\)
\(752\) −2.89070 + 12.6650i −0.105413 + 0.461845i
\(753\) 14.9821 + 17.9323i 0.545977 + 0.653489i
\(754\) 1.93765i 0.0705649i
\(755\) −12.1965 + 53.4364i −0.443876 + 1.94475i
\(756\) 12.0003 6.70765i 0.436447 0.243955i
\(757\) −1.47280 6.45275i −0.0535298 0.234529i 0.941085 0.338170i \(-0.109808\pi\)
−0.994615 + 0.103641i \(0.966951\pi\)
\(758\) 8.79717 2.00790i 0.319528 0.0729301i
\(759\) −2.66273 + 13.0290i −0.0966510 + 0.472922i
\(760\) −2.91701 3.65781i −0.105811 0.132683i
\(761\) −0.0972160 0.425931i −0.00352408 0.0154400i 0.973135 0.230234i \(-0.0739491\pi\)
−0.976659 + 0.214794i \(0.931092\pi\)
\(762\) −9.57939 7.28823i −0.347025 0.264025i
\(763\) −19.9684 + 9.43190i −0.722904 + 0.341458i
\(764\) −13.3021 3.03612i −0.481254 0.109843i
\(765\) 4.59028 25.4002i 0.165962 0.918348i
\(766\) 11.0585i 0.399561i
\(767\) −10.3034 2.35169i −0.372035 0.0849146i
\(768\) −1.57726 0.715728i −0.0569143 0.0258266i
\(769\) 2.92291 2.33094i 0.105403 0.0840560i −0.569370 0.822081i \(-0.692813\pi\)
0.674773 + 0.738025i \(0.264241\pi\)
\(770\) 11.8981 14.6916i 0.428777 0.529450i
\(771\) 41.7568 0.952453i 1.50383 0.0343017i
\(772\) −2.34779 + 10.2863i −0.0844986 + 0.370213i
\(773\) −1.26192 + 1.58240i −0.0453882 + 0.0569151i −0.804008 0.594619i \(-0.797303\pi\)
0.758619 + 0.651534i \(0.225874\pi\)
\(774\) 26.8995 7.44497i 0.966883 0.267604i
\(775\) 49.2043 39.2391i 1.76747 1.40951i
\(776\) −17.1212 8.24516i −0.614617 0.295984i
\(777\) 4.10942 + 1.90218i 0.147425 + 0.0682403i
\(778\) −16.8360 + 8.10779i −0.603599 + 0.290678i
\(779\) 2.59618 5.39102i 0.0930177 0.193153i
\(780\) −4.16945 3.17222i −0.149290 0.113584i
\(781\) −30.4796 14.6782i −1.09064 0.525227i
\(782\) 5.76402 7.22786i 0.206121 0.258468i
\(783\) −5.47802 9.62964i −0.195768 0.344135i
\(784\) −6.26038 3.13172i −0.223585 0.111847i
\(785\) 30.6943i 1.09553i
\(786\) −0.700073 30.6922i −0.0249708 1.09475i
\(787\) −7.96937 + 16.5486i −0.284077 + 0.589893i −0.993362 0.115029i \(-0.963304\pi\)
0.709285 + 0.704922i \(0.249018\pi\)
\(788\) 0.731516 0.166964i 0.0260592 0.00594784i
\(789\) 45.4020 11.4580i 1.61635 0.407914i
\(790\) 6.02358 + 12.5081i 0.214309 + 0.445018i
\(791\) 4.63106 1.02042i 0.164661 0.0362820i
\(792\) −3.78192 + 5.21338i −0.134385 + 0.185249i
\(793\) −6.78558 8.50885i −0.240963 0.302158i
\(794\) 3.23469 1.55775i 0.114795 0.0552823i
\(795\) −0.342839 15.0305i −0.0121592 0.533078i
\(796\) −12.4646 2.84497i −0.441797 0.100837i
\(797\) 0.395321 0.495717i 0.0140030 0.0175592i −0.774781 0.632230i \(-0.782140\pi\)
0.788784 + 0.614671i \(0.210711\pi\)
\(798\) 4.09278 + 4.97428i 0.144883 + 0.176088i
\(799\) −20.9379 26.2553i −0.740730 0.928846i
\(800\) −2.63698 5.47575i −0.0932315 0.193597i
\(801\) 18.2221 + 7.77274i 0.643846 + 0.274636i
\(802\) −10.1568 −0.358650
\(803\) 24.1323 0.851610
\(804\) 16.7172 8.52556i 0.589572 0.300673i
\(805\) 24.4729 + 19.8194i 0.862555 + 0.698543i
\(806\) 9.17475 2.09408i 0.323167 0.0737607i
\(807\) −1.35825 + 1.78523i −0.0478126 + 0.0628431i
\(808\) 10.4842 8.36087i 0.368833 0.294134i
\(809\) −17.4184 + 13.8907i −0.612399 + 0.488372i −0.879883 0.475190i \(-0.842379\pi\)
0.267484 + 0.963562i \(0.413808\pi\)
\(810\) −29.6895 3.97751i −1.04318 0.139755i
\(811\) 1.31409 0.299932i 0.0461439 0.0105320i −0.199387 0.979921i \(-0.563895\pi\)
0.245531 + 0.969389i \(0.421038\pi\)
\(812\) −2.48571 + 5.06383i −0.0872312 + 0.177706i
\(813\) −14.2082 27.8599i −0.498302 0.977090i
\(814\) −2.12147 −0.0743575
\(815\) −69.0045 −2.41712
\(816\) 3.98871 2.03419i 0.139633 0.0712107i
\(817\) 5.67425 + 11.7827i 0.198517 + 0.412225i
\(818\) 13.2809 + 16.6537i 0.464354 + 0.582282i
\(819\) 5.80678 + 4.27942i 0.202905 + 0.149535i
\(820\) 8.83342 11.0768i 0.308477 0.386817i
\(821\) −24.9931 5.70451i −0.872266 0.199089i −0.237119 0.971481i \(-0.576203\pi\)
−0.635147 + 0.772392i \(0.719060\pi\)
\(822\) −3.80535 + 0.0867981i −0.132727 + 0.00302743i
\(823\) 42.3374 20.3886i 1.47579 0.710703i 0.488936 0.872320i \(-0.337385\pi\)
0.986854 + 0.161617i \(0.0516708\pi\)
\(824\) −4.08440 5.12167i −0.142287 0.178422i
\(825\) −21.9128 + 5.53006i −0.762905 + 0.192532i
\(826\) 23.9100 + 19.3636i 0.831937 + 0.673747i
\(827\) −17.7617 36.8825i −0.617634 1.28253i −0.941686 0.336492i \(-0.890760\pi\)
0.324052 0.946039i \(-0.394955\pi\)
\(828\) −8.68429 6.29981i −0.301800 0.218933i
\(829\) −30.0739 + 6.86417i −1.04451 + 0.238403i −0.710156 0.704045i \(-0.751375\pi\)
−0.334355 + 0.942447i \(0.608518\pi\)
\(830\) −1.53038 + 3.17788i −0.0531204 + 0.110306i
\(831\) −8.22345 + 0.187573i −0.285268 + 0.00650683i
\(832\) 0.908794i 0.0315068i
\(833\) 16.4197 7.60518i 0.568909 0.263504i
\(834\) −22.1754 26.5421i −0.767871 0.919078i
\(835\) −12.4868 + 15.6579i −0.432122 + 0.541864i
\(836\) −2.71897 1.30939i −0.0940376 0.0452861i
\(837\) 39.6760 36.3455i 1.37140 1.25628i
\(838\) 9.74674 20.2393i 0.336696 0.699156i
\(839\) −6.69255 + 3.22296i −0.231052 + 0.111269i −0.545828 0.837897i \(-0.683785\pi\)
0.314776 + 0.949166i \(0.398071\pi\)
\(840\) 6.82693 + 13.6390i 0.235552 + 0.470591i
\(841\) −22.0324 10.6102i −0.759738 0.365871i
\(842\) 13.8197 11.0208i 0.476257 0.379803i
\(843\) −4.07470 + 8.97944i −0.140340 + 0.309268i
\(844\) −0.931840 + 1.16849i −0.0320753 + 0.0402211i
\(845\) −9.01635 + 39.5032i −0.310172 + 1.35895i
\(846\) −29.3300 + 25.6627i −1.00839 + 0.882302i
\(847\) −3.88641 + 16.4559i −0.133539 + 0.565432i
\(848\) 2.03899 1.62604i 0.0700194 0.0558386i
\(849\) 2.26777 4.99751i 0.0778297 0.171514i
\(850\) 15.3172 + 3.49604i 0.525374 + 0.119913i
\(851\) 3.53388i 0.121140i
\(852\) 20.9448 17.4990i 0.717558 0.599506i
\(853\) 25.3140 + 5.77776i 0.866735 + 0.197827i 0.632696 0.774401i \(-0.281948\pi\)
0.234039 + 0.972227i \(0.424806\pi\)
\(854\) 6.81782 + 30.9418i 0.233301 + 1.05881i
\(855\) −0.639955 14.0209i −0.0218860 0.479506i
\(856\) 0.352210 + 1.54313i 0.0120383 + 0.0527431i
\(857\) 29.7384 + 37.2908i 1.01584 + 1.27383i 0.961354 + 0.275314i \(0.0887818\pi\)
0.0544899 + 0.998514i \(0.482647\pi\)
\(858\) −3.31094 0.676656i −0.113034 0.0231007i
\(859\) −24.0156 + 5.48141i −0.819402 + 0.187023i −0.611620 0.791152i \(-0.709482\pi\)
−0.207782 + 0.978175i \(0.566625\pi\)
\(860\) 6.89041 + 30.1889i 0.234961 + 1.02943i
\(861\) −11.9278 + 15.4351i −0.406498 + 0.526028i
\(862\) 3.53392 15.4831i 0.120366 0.527356i
\(863\) 29.9144i 1.01830i 0.860679 + 0.509148i \(0.170040\pi\)
−0.860679 + 0.509148i \(0.829960\pi\)
\(864\) −2.56930 4.51649i −0.0874093 0.153654i
\(865\) −4.65893 + 20.4121i −0.158409 + 0.694033i
\(866\) −1.15502 + 0.556227i −0.0392491 + 0.0189014i
\(867\) 3.57820 17.5084i 0.121522 0.594617i
\(868\) −26.6636 6.29717i −0.905022 0.213740i
\(869\) 7.00133 + 5.58338i 0.237504 + 0.189403i
\(870\) 10.9495 5.58407i 0.371222 0.189318i
\(871\) 7.69809 + 6.13902i 0.260840 + 0.208013i
\(872\) 3.62159 + 7.52032i 0.122643 + 0.254670i
\(873\) −27.0517 50.1825i −0.915561 1.69842i
\(874\) 2.18114 4.52918i 0.0737780 0.153202i
\(875\) −2.18113 + 9.23539i −0.0737357 + 0.312213i
\(876\) −8.04519 + 17.7293i −0.271822 + 0.599016i
\(877\) −13.8229 6.65675i −0.466765 0.224782i 0.185692 0.982608i \(-0.440547\pi\)
−0.652457 + 0.757826i \(0.726262\pi\)
\(878\) −5.66111 24.8030i −0.191053 0.837059i
\(879\) −4.93401 19.5509i −0.166420 0.659437i
\(880\) −5.58659 4.45515i −0.188324 0.150183i
\(881\) −9.04088 −0.304595 −0.152298 0.988335i \(-0.548667\pi\)
−0.152298 + 0.988335i \(0.548667\pi\)
\(882\) −9.68555 18.6330i −0.326130 0.627407i
\(883\) 24.8146 0.835078 0.417539 0.908659i \(-0.362893\pi\)
0.417539 + 0.908659i \(0.362893\pi\)
\(884\) 1.83675 + 1.46476i 0.0617767 + 0.0492652i
\(885\) −16.4041 65.0010i −0.551418 2.18498i
\(886\) 2.85850 + 12.5239i 0.0960331 + 0.420748i
\(887\) −38.1766 18.3849i −1.28185 0.617304i −0.335982 0.941869i \(-0.609068\pi\)
−0.945864 + 0.324564i \(0.894782\pi\)
\(888\) 0.707253 1.55858i 0.0237338 0.0523025i
\(889\) −11.5715 + 14.2884i −0.388097 + 0.479219i
\(890\) −9.53616 + 19.8020i −0.319653 + 0.663766i
\(891\) −18.3676 + 5.99770i −0.615337 + 0.200931i
\(892\) 1.72868 + 3.58964i 0.0578804 + 0.120190i
\(893\) −14.2768 11.3854i −0.477754 0.380996i
\(894\) 4.89669 2.49725i 0.163770 0.0835204i
\(895\) 15.8116 + 12.6093i 0.528524 + 0.421484i
\(896\) −1.16585 + 2.37504i −0.0389482 + 0.0793444i
\(897\) 1.12715 5.51526i 0.0376345 0.184149i
\(898\) −8.70919 + 4.19412i −0.290629 + 0.139960i
\(899\) −4.91287 + 21.5247i −0.163854 + 0.717889i
\(900\) 3.24249 17.9422i 0.108083 0.598075i
\(901\) 6.74178i 0.224601i
\(902\) 2.03356 8.90961i 0.0677102 0.296658i
\(903\) −10.1212 41.4156i −0.336812 1.37823i
\(904\) −0.398838 1.74742i −0.0132652 0.0581185i
\(905\) −4.57143 + 1.04340i −0.151960 + 0.0346838i
\(906\) −27.9458 5.71128i −0.928437 0.189745i
\(907\) 1.08980 + 1.36657i 0.0361863 + 0.0453761i 0.799595 0.600539i \(-0.205047\pi\)
−0.763409 + 0.645915i \(0.776476\pi\)
\(908\) −2.98127 13.0618i −0.0989370 0.433471i
\(909\) 40.1875 1.83427i 1.33294 0.0608389i
\(910\) −5.03654 + 6.21908i −0.166960 + 0.206160i
\(911\) 29.9302 + 6.83138i 0.991633 + 0.226334i 0.687412 0.726268i \(-0.258747\pi\)
0.304221 + 0.952601i \(0.401604\pi\)
\(912\) 1.86841 1.56102i 0.0618694 0.0516906i
\(913\) 2.27517i 0.0752971i
\(914\) 31.9104 + 7.28335i 1.05550 + 0.240912i
\(915\) 28.5275 62.8662i 0.943089 2.07829i
\(916\) −20.3226 + 16.2067i −0.671477 + 0.535485i
\(917\) −46.8939 0.352740i −1.54857 0.0116485i
\(918\) 13.2693 + 2.08674i 0.437953 + 0.0688726i
\(919\) 0.413327 1.81090i 0.0136344 0.0597362i −0.967653 0.252285i \(-0.918818\pi\)
0.981287 + 0.192548i \(0.0616752\pi\)
\(920\) 7.42126 9.30596i 0.244672 0.306808i
\(921\) 5.76041 12.6943i 0.189812 0.418290i
\(922\) 4.88875 3.89864i 0.161002 0.128395i
\(923\) 12.9022 + 6.21338i 0.424682 + 0.204516i
\(924\) 7.78474 + 6.01580i 0.256099 + 0.197905i
\(925\) 5.41091 2.60576i 0.177910 0.0856768i
\(926\) −12.5129 + 25.9833i −0.411199 + 0.853863i
\(927\) −0.896066 19.6322i −0.0294307 0.644804i
\(928\) 1.92096 + 0.925086i 0.0630586 + 0.0303674i
\(929\) 10.7548 13.4860i 0.352852 0.442463i −0.573452 0.819239i \(-0.694396\pi\)
0.926304 + 0.376777i \(0.122968\pi\)
\(930\) 38.2740 + 45.8108i 1.25505 + 1.50219i
\(931\) 7.78442 6.01854i 0.255124 0.197250i
\(932\) 21.7996i 0.714069i
\(933\) −35.8135 + 0.816888i −1.17248 + 0.0267437i
\(934\) −6.38685 + 13.2624i −0.208984 + 0.433960i
\(935\) 18.0085 4.11032i 0.588941 0.134422i
\(936\) 1.60091 2.20686i 0.0523275 0.0721335i
\(937\) 16.6245 + 34.5211i 0.543098 + 1.12775i 0.974249 + 0.225475i \(0.0723932\pi\)
−0.431151 + 0.902280i \(0.641892\pi\)
\(938\) −12.2427 25.9192i −0.399738 0.846290i
\(939\) −10.7443 + 2.71150i −0.350627 + 0.0884865i
\(940\) −26.9578 33.8041i −0.879268 1.10257i
\(941\) −40.8988 + 19.6958i −1.33326 + 0.642066i −0.958510 0.285059i \(-0.907987\pi\)
−0.374753 + 0.927125i \(0.622273\pi\)
\(942\) −15.9692 + 0.364249i −0.520304 + 0.0118679i
\(943\) 14.8414 + 3.38744i 0.483301 + 0.110310i
\(944\) 7.25058 9.09194i 0.235986 0.295917i
\(945\) −7.44814 + 45.1464i −0.242288 + 1.46861i
\(946\) 12.4535 + 15.6162i 0.404897 + 0.507725i
\(947\) 10.8559 + 22.5425i 0.352770 + 0.732533i 0.999545 0.0301466i \(-0.00959741\pi\)
−0.646776 + 0.762680i \(0.723883\pi\)
\(948\) −6.43603 + 3.28229i −0.209033 + 0.106604i
\(949\) −10.2154 −0.331605
\(950\) 8.54316 0.277177
\(951\) −18.1908 35.6692i −0.589877 1.15665i
\(952\) −2.92109 6.18427i −0.0946730 0.200433i
\(953\) 13.5586 3.09467i 0.439207 0.100246i 0.00280103 0.999996i \(-0.499108\pi\)
0.436406 + 0.899750i \(0.356251\pi\)
\(954\) 7.81578 0.356734i 0.253045 0.0115497i
\(955\) 35.5046 28.3140i 1.14890 0.916219i
\(956\) 3.72587 2.97129i 0.120503 0.0960982i
\(957\) 4.80057 6.30970i 0.155180 0.203964i
\(958\) 29.0653 6.63397i 0.939058 0.214334i
\(959\) −0.0437342 + 5.81411i −0.00141225 + 0.187747i
\(960\) 5.13551 2.61904i 0.165748 0.0845292i
\(961\) −76.2289 −2.45900
\(962\) 0.898033 0.0289538
\(963\) −1.86307 + 4.36769i −0.0600364 + 0.140747i
\(964\) 1.89471 + 3.93441i 0.0610245 + 0.126719i
\(965\) −21.8948 27.4552i −0.704817 0.883813i
\(966\) −10.0209 + 12.9676i −0.322418 + 0.417225i
\(967\) 3.32553 4.17008i 0.106942 0.134101i −0.725480 0.688243i \(-0.758382\pi\)
0.832422 + 0.554142i \(0.186954\pi\)
\(968\) 6.23063 + 1.42210i 0.200260 + 0.0457080i
\(969\) 0.143523 + 6.29222i 0.00461061 + 0.202135i
\(970\) 56.9848 27.4424i 1.82967 0.881123i
\(971\) −4.71804 5.91623i −0.151409 0.189861i 0.700342 0.713807i \(-0.253031\pi\)
−0.851751 + 0.523946i \(0.824459\pi\)
\(972\) 1.71703 15.4936i 0.0550739 0.496958i
\(973\) −41.5522 + 32.6285i −1.33210 + 1.04602i
\(974\) −16.8028 34.8914i −0.538396 1.11799i
\(975\) 9.27584 2.34091i 0.297065 0.0749692i
\(976\) 11.6752 2.66479i 0.373714 0.0852978i
\(977\) 3.74095 7.76815i 0.119683 0.248525i −0.832517 0.554000i \(-0.813101\pi\)
0.952200 + 0.305475i \(0.0988151\pi\)
\(978\) −0.818876 35.9006i −0.0261848 1.14798i
\(979\) 14.1771i 0.453101i
\(980\) 21.1406 9.79177i 0.675312 0.312787i
\(981\) −4.45318 + 24.6416i −0.142179 + 0.786746i
\(982\) 17.1990 21.5669i 0.548843 0.688227i
\(983\) 3.52600 + 1.69803i 0.112462 + 0.0541588i 0.489269 0.872133i \(-0.337264\pi\)
−0.376807 + 0.926292i \(0.622978\pi\)
\(984\) 5.86767 + 4.46427i 0.187055 + 0.142316i
\(985\) −1.08355 + 2.25001i −0.0345247 + 0.0716913i
\(986\) −4.96581 + 2.39141i −0.158144 + 0.0761580i
\(987\) 37.8239 + 45.9704i 1.20395 + 1.46325i
\(988\) 1.15096 + 0.554273i 0.0366169 + 0.0176338i
\(989\) −26.0129 + 20.7446i −0.827162 + 0.659639i
\(990\) −5.71802 20.6599i −0.181731 0.656613i
\(991\) 8.03495 10.0755i 0.255239 0.320059i −0.637659 0.770319i \(-0.720097\pi\)
0.892898 + 0.450260i \(0.148669\pi\)
\(992\) −2.30424 + 10.0955i −0.0731595 + 0.320533i
\(993\) 36.3885 0.830005i 1.15476 0.0263394i
\(994\) −25.7477 32.7896i −0.816669 1.04002i
\(995\) 33.2693 26.5314i 1.05471 0.841102i
\(996\) −1.67150 0.758493i −0.0529634 0.0240338i
\(997\) 15.6975 + 3.58285i 0.497145 + 0.113470i 0.463739 0.885972i \(-0.346508\pi\)
0.0334057 + 0.999442i \(0.489365\pi\)
\(998\) 4.03650i 0.127773i
\(999\) 4.46301 2.53888i 0.141203 0.0803265i
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 294.2.j.a.251.15 yes 120
3.2 odd 2 inner 294.2.j.a.251.10 yes 120
49.41 odd 14 inner 294.2.j.a.41.10 120
147.41 even 14 inner 294.2.j.a.41.15 yes 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
294.2.j.a.41.10 120 49.41 odd 14 inner
294.2.j.a.41.15 yes 120 147.41 even 14 inner
294.2.j.a.251.10 yes 120 3.2 odd 2 inner
294.2.j.a.251.15 yes 120 1.1 even 1 trivial