Properties

Label 99.2.m.b.97.5
Level $99$
Weight $2$
Character 99.97
Analytic conductor $0.791$
Analytic rank $0$
Dimension $72$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [99,2,Mod(4,99)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(99, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([10, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("99.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.m (of order \(15\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(9\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 97.5
Character \(\chi\) \(=\) 99.97
Dual form 99.2.m.b.49.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.190802 + 0.211907i) q^{2} +(0.988333 + 1.42239i) q^{3} +(0.200558 - 1.90818i) q^{4} +(1.81250 - 2.01298i) q^{5} +(-0.112839 + 0.480829i) q^{6} +(-3.72118 + 1.65677i) q^{7} +(0.904002 - 0.656796i) q^{8} +(-1.04640 + 2.81159i) q^{9} +0.772391 q^{10} +(1.48164 + 2.96728i) q^{11} +(2.91240 - 1.60065i) q^{12} +(-3.76680 + 0.800659i) q^{13} +(-1.06109 - 0.472427i) q^{14} +(4.65460 + 0.588584i) q^{15} +(-3.44186 - 0.731590i) q^{16} +(-1.33502 - 4.10876i) q^{17} +(-0.795449 + 0.314718i) q^{18} +(1.31246 - 0.953561i) q^{19} +(-3.47762 - 3.86229i) q^{20} +(-6.03434 - 3.65553i) q^{21} +(-0.346086 + 0.880131i) q^{22} +(0.932117 + 1.61447i) q^{23} +(1.82768 + 0.636712i) q^{24} +(-0.244308 - 2.32444i) q^{25} +(-0.888377 - 0.645443i) q^{26} +(-5.03337 + 1.29041i) q^{27} +(2.41511 + 7.43295i) q^{28} +(3.24614 - 1.44528i) q^{29} +(0.763380 + 1.09864i) q^{30} +(4.75829 - 1.01141i) q^{31} +(-1.61909 - 2.80435i) q^{32} +(-2.75628 + 5.04013i) q^{33} +(0.615950 - 1.06686i) q^{34} +(-3.40956 + 10.4936i) q^{35} +(5.15516 + 2.56060i) q^{36} +(-6.26542 - 4.55210i) q^{37} +(0.452486 + 0.0961788i) q^{38} +(-4.86171 - 4.56655i) q^{39} +(0.316383 - 3.01018i) q^{40} +(6.27802 + 2.79515i) q^{41} +(-0.376732 - 1.97620i) q^{42} +(-0.492496 + 0.853027i) q^{43} +(5.95925 - 2.23213i) q^{44} +(3.76310 + 7.20238i) q^{45} +(-0.164268 + 0.505566i) q^{46} +(-0.613200 - 5.83421i) q^{47} +(-2.36110 - 5.61873i) q^{48} +(6.41834 - 7.12829i) q^{49} +(0.445949 - 0.495276i) q^{50} +(4.52482 - 5.95974i) q^{51} +(0.772339 + 7.34832i) q^{52} +(-0.485721 + 1.49489i) q^{53} +(-1.23382 - 0.820393i) q^{54} +(8.65855 + 2.39567i) q^{55} +(-2.27579 + 3.94178i) q^{56} +(2.65349 + 0.924402i) q^{57} +(0.925632 + 0.412118i) q^{58} +(-1.18770 + 11.3002i) q^{59} +(2.05664 - 8.76376i) q^{60} +(8.41938 + 1.78960i) q^{61} +(1.12221 + 0.815335i) q^{62} +(-0.764353 - 12.1961i) q^{63} +(-1.88937 + 5.81490i) q^{64} +(-5.21561 + 9.03370i) q^{65} +(-1.59394 + 0.377592i) q^{66} +(0.870282 + 1.50737i) q^{67} +(-8.10800 + 1.72341i) q^{68} +(-1.37517 + 2.92147i) q^{69} +(-2.87420 + 1.27968i) q^{70} +(-1.77418 - 5.46036i) q^{71} +(0.900699 + 3.22896i) q^{72} +(3.27379 + 2.37855i) q^{73} +(-0.230833 - 2.19623i) q^{74} +(3.06480 - 2.64482i) q^{75} +(-1.55634 - 2.69566i) q^{76} +(-10.4296 - 8.58702i) q^{77} +(0.0400613 - 1.90153i) q^{78} +(-2.86398 - 3.18077i) q^{79} +(-7.71104 + 5.60240i) q^{80} +(-6.81011 - 5.88408i) q^{81} +(0.605544 + 1.86367i) q^{82} +(6.35814 + 1.35146i) q^{83} +(-8.18563 + 10.7815i) q^{84} +(-10.6906 - 4.75975i) q^{85} +(-0.274731 + 0.0583959i) q^{86} +(5.26402 + 3.18887i) q^{87} +(3.28830 + 1.70929i) q^{88} +9.26243 q^{89} +(-0.808227 + 2.17165i) q^{90} +(12.6904 - 9.22014i) q^{91} +(3.26765 - 1.45485i) q^{92} +(6.14139 + 5.76854i) q^{93} +(1.11931 - 1.24312i) q^{94} +(0.459336 - 4.37029i) q^{95} +(2.38868 - 5.07461i) q^{96} +(-4.96005 - 5.50870i) q^{97} +2.73516 q^{98} +(-9.89316 + 1.06082i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.190802 + 0.211907i 0.134917 + 0.149841i 0.806817 0.590801i \(-0.201188\pi\)
−0.671900 + 0.740642i \(0.734522\pi\)
\(3\) 0.988333 + 1.42239i 0.570614 + 0.821218i
\(4\) 0.200558 1.90818i 0.100279 0.954090i
\(5\) 1.81250 2.01298i 0.810573 0.900233i −0.186034 0.982543i \(-0.559563\pi\)
0.996607 + 0.0823107i \(0.0262300\pi\)
\(6\) −0.112839 + 0.480829i −0.0460662 + 0.196297i
\(7\) −3.72118 + 1.65677i −1.40647 + 0.626202i −0.962856 0.270015i \(-0.912971\pi\)
−0.443616 + 0.896217i \(0.646305\pi\)
\(8\) 0.904002 0.656796i 0.319613 0.232212i
\(9\) −1.04640 + 2.81159i −0.348799 + 0.937198i
\(10\) 0.772391 0.244251
\(11\) 1.48164 + 2.96728i 0.446732 + 0.894668i
\(12\) 2.91240 1.60065i 0.840736 0.462066i
\(13\) −3.76680 + 0.800659i −1.04472 + 0.222063i −0.698144 0.715958i \(-0.745990\pi\)
−0.346580 + 0.938021i \(0.612657\pi\)
\(14\) −1.06109 0.472427i −0.283588 0.126261i
\(15\) 4.65460 + 0.588584i 1.20181 + 0.151972i
\(16\) −3.44186 0.731590i −0.860465 0.182898i
\(17\) −1.33502 4.10876i −0.323789 0.996520i −0.971984 0.235046i \(-0.924476\pi\)
0.648195 0.761474i \(-0.275524\pi\)
\(18\) −0.795449 + 0.314718i −0.187489 + 0.0741798i
\(19\) 1.31246 0.953561i 0.301100 0.218762i −0.426968 0.904267i \(-0.640418\pi\)
0.728068 + 0.685505i \(0.240418\pi\)
\(20\) −3.47762 3.86229i −0.777619 0.863634i
\(21\) −6.03434 3.65553i −1.31680 0.797701i
\(22\) −0.346086 + 0.880131i −0.0737859 + 0.187644i
\(23\) 0.932117 + 1.61447i 0.194360 + 0.336641i 0.946691 0.322145i \(-0.104404\pi\)
−0.752331 + 0.658786i \(0.771070\pi\)
\(24\) 1.82768 + 0.636712i 0.373073 + 0.129968i
\(25\) −0.244308 2.32444i −0.0488616 0.464887i
\(26\) −0.888377 0.645443i −0.174225 0.126582i
\(27\) −5.03337 + 1.29041i −0.968673 + 0.248339i
\(28\) 2.41511 + 7.43295i 0.456413 + 1.40470i
\(29\) 3.24614 1.44528i 0.602793 0.268381i −0.0825663 0.996586i \(-0.526312\pi\)
0.685360 + 0.728205i \(0.259645\pi\)
\(30\) 0.763380 + 1.09864i 0.139373 + 0.200584i
\(31\) 4.75829 1.01141i 0.854614 0.181654i 0.240283 0.970703i \(-0.422760\pi\)
0.614330 + 0.789049i \(0.289426\pi\)
\(32\) −1.61909 2.80435i −0.286218 0.495744i
\(33\) −2.75628 + 5.04013i −0.479806 + 0.877374i
\(34\) 0.615950 1.06686i 0.105634 0.182964i
\(35\) −3.40956 + 10.4936i −0.576321 + 1.77374i
\(36\) 5.15516 + 2.56060i 0.859194 + 0.426766i
\(37\) −6.26542 4.55210i −1.03003 0.748360i −0.0617145 0.998094i \(-0.519657\pi\)
−0.968314 + 0.249734i \(0.919657\pi\)
\(38\) 0.452486 + 0.0961788i 0.0734029 + 0.0156023i
\(39\) −4.86171 4.56655i −0.778496 0.731234i
\(40\) 0.316383 3.01018i 0.0500245 0.475951i
\(41\) 6.27802 + 2.79515i 0.980462 + 0.436530i 0.833444 0.552604i \(-0.186366\pi\)
0.147018 + 0.989134i \(0.453033\pi\)
\(42\) −0.376732 1.97620i −0.0581310 0.304934i
\(43\) −0.492496 + 0.853027i −0.0751049 + 0.130085i −0.901132 0.433545i \(-0.857262\pi\)
0.826027 + 0.563631i \(0.190596\pi\)
\(44\) 5.95925 2.23213i 0.898391 0.336506i
\(45\) 3.76310 + 7.20238i 0.560969 + 1.07367i
\(46\) −0.164268 + 0.505566i −0.0242200 + 0.0745416i
\(47\) −0.613200 5.83421i −0.0894445 0.851007i −0.943622 0.331026i \(-0.892605\pi\)
0.854177 0.519982i \(-0.174061\pi\)
\(48\) −2.36110 5.61873i −0.340795 0.810994i
\(49\) 6.41834 7.12829i 0.916906 1.01833i
\(50\) 0.445949 0.495276i 0.0630667 0.0700426i
\(51\) 4.52482 5.95974i 0.633602 0.834530i
\(52\) 0.772339 + 7.34832i 0.107104 + 1.01903i
\(53\) −0.485721 + 1.49489i −0.0667189 + 0.205340i −0.978858 0.204541i \(-0.934430\pi\)
0.912139 + 0.409881i \(0.134430\pi\)
\(54\) −1.23382 0.820393i −0.167902 0.111641i
\(55\) 8.65855 + 2.39567i 1.16752 + 0.323032i
\(56\) −2.27579 + 3.94178i −0.304115 + 0.526743i
\(57\) 2.65349 + 0.924402i 0.351463 + 0.122440i
\(58\) 0.925632 + 0.412118i 0.121541 + 0.0541137i
\(59\) −1.18770 + 11.3002i −0.154626 + 1.47117i 0.592008 + 0.805932i \(0.298335\pi\)
−0.746634 + 0.665235i \(0.768331\pi\)
\(60\) 2.05664 8.76376i 0.265511 1.13140i
\(61\) 8.41938 + 1.78960i 1.07799 + 0.229134i 0.712494 0.701678i \(-0.247566\pi\)
0.365498 + 0.930812i \(0.380899\pi\)
\(62\) 1.12221 + 0.815335i 0.142521 + 0.103548i
\(63\) −0.764353 12.1961i −0.0962994 1.53656i
\(64\) −1.88937 + 5.81490i −0.236172 + 0.726862i
\(65\) −5.21561 + 9.03370i −0.646916 + 1.12049i
\(66\) −1.59394 + 0.377592i −0.196200 + 0.0464783i
\(67\) 0.870282 + 1.50737i 0.106322 + 0.184155i 0.914277 0.405088i \(-0.132759\pi\)
−0.807956 + 0.589243i \(0.799426\pi\)
\(68\) −8.10800 + 1.72341i −0.983239 + 0.208994i
\(69\) −1.37517 + 2.92147i −0.165551 + 0.351704i
\(70\) −2.87420 + 1.27968i −0.343533 + 0.152951i
\(71\) −1.77418 5.46036i −0.210556 0.648026i −0.999439 0.0334822i \(-0.989340\pi\)
0.788883 0.614543i \(-0.210660\pi\)
\(72\) 0.900699 + 3.22896i 0.106148 + 0.380536i
\(73\) 3.27379 + 2.37855i 0.383168 + 0.278388i 0.762650 0.646811i \(-0.223898\pi\)
−0.379482 + 0.925199i \(0.623898\pi\)
\(74\) −0.230833 2.19623i −0.0268338 0.255307i
\(75\) 3.06480 2.64482i 0.353893 0.305397i
\(76\) −1.55634 2.69566i −0.178524 0.309213i
\(77\) −10.4296 8.58702i −1.18856 0.978582i
\(78\) 0.0400613 1.90153i 0.00453605 0.215306i
\(79\) −2.86398 3.18077i −0.322223 0.357864i 0.560171 0.828377i \(-0.310736\pi\)
−0.882393 + 0.470513i \(0.844069\pi\)
\(80\) −7.71104 + 5.60240i −0.862120 + 0.626367i
\(81\) −6.81011 5.88408i −0.756679 0.653786i
\(82\) 0.605544 + 1.86367i 0.0668711 + 0.205808i
\(83\) 6.35814 + 1.35146i 0.697897 + 0.148343i 0.543180 0.839616i \(-0.317220\pi\)
0.154717 + 0.987959i \(0.450554\pi\)
\(84\) −8.18563 + 10.7815i −0.893126 + 1.17635i
\(85\) −10.6906 4.75975i −1.15956 0.516267i
\(86\) −0.274731 + 0.0583959i −0.0296250 + 0.00629699i
\(87\) 5.26402 + 3.18887i 0.564362 + 0.341883i
\(88\) 3.28830 + 1.70929i 0.350534 + 0.182211i
\(89\) 9.26243 0.981816 0.490908 0.871211i \(-0.336665\pi\)
0.490908 + 0.871211i \(0.336665\pi\)
\(90\) −0.808227 + 2.17165i −0.0851946 + 0.228912i
\(91\) 12.6904 9.22014i 1.33032 0.966533i
\(92\) 3.26765 1.45485i 0.340676 0.151679i
\(93\) 6.14139 + 5.76854i 0.636832 + 0.598170i
\(94\) 1.11931 1.24312i 0.115448 0.128218i
\(95\) 0.459336 4.37029i 0.0471269 0.448382i
\(96\) 2.38868 5.07461i 0.243794 0.517926i
\(97\) −4.96005 5.50870i −0.503617 0.559323i 0.436707 0.899604i \(-0.356145\pi\)
−0.940324 + 0.340280i \(0.889478\pi\)
\(98\) 2.73516 0.276293
\(99\) −9.89316 + 1.06082i −0.994300 + 0.106617i
\(100\) −4.48444 −0.448444
\(101\) −9.17887 10.1942i −0.913332 1.01436i −0.999836 0.0181060i \(-0.994236\pi\)
0.0865045 0.996251i \(-0.472430\pi\)
\(102\) 2.12625 0.178287i 0.210530 0.0176531i
\(103\) −0.530508 + 5.04744i −0.0522725 + 0.497339i 0.936795 + 0.349878i \(0.113777\pi\)
−0.989068 + 0.147462i \(0.952890\pi\)
\(104\) −2.87933 + 3.19782i −0.282341 + 0.313572i
\(105\) −18.2957 + 5.52140i −1.78548 + 0.538833i
\(106\) −0.409454 + 0.182301i −0.0397697 + 0.0177066i
\(107\) 2.24824 1.63344i 0.217346 0.157911i −0.473785 0.880640i \(-0.657113\pi\)
0.691131 + 0.722730i \(0.257113\pi\)
\(108\) 1.45284 + 9.86338i 0.139800 + 0.949104i
\(109\) −17.3573 −1.66253 −0.831263 0.555879i \(-0.812382\pi\)
−0.831263 + 0.555879i \(0.812382\pi\)
\(110\) 1.14441 + 2.29190i 0.109115 + 0.218524i
\(111\) 0.282539 13.4109i 0.0268174 1.27290i
\(112\) 14.0199 2.98001i 1.32475 0.281585i
\(113\) 0.862071 + 0.383819i 0.0810968 + 0.0361066i 0.446884 0.894592i \(-0.352534\pi\)
−0.365787 + 0.930698i \(0.619200\pi\)
\(114\) 0.310403 + 0.738669i 0.0290719 + 0.0691827i
\(115\) 4.93937 + 1.04989i 0.460598 + 0.0979032i
\(116\) −2.10681 6.48408i −0.195612 0.602032i
\(117\) 1.69044 11.4285i 0.156281 1.05657i
\(118\) −2.62121 + 1.90442i −0.241302 + 0.175316i
\(119\) 11.7751 + 13.0776i 1.07942 + 1.19882i
\(120\) 4.59435 2.52504i 0.419405 0.230504i
\(121\) −6.60948 + 8.79288i −0.600862 + 0.799353i
\(122\) 1.22720 + 2.12558i 0.111106 + 0.192441i
\(123\) 2.22897 + 11.6923i 0.200979 + 1.05426i
\(124\) −0.975631 9.28251i −0.0876143 0.833594i
\(125\) 5.83521 + 4.23953i 0.521917 + 0.379195i
\(126\) 2.43859 2.48900i 0.217247 0.221738i
\(127\) 0.757216 + 2.33047i 0.0671920 + 0.206796i 0.979015 0.203787i \(-0.0653251\pi\)
−0.911823 + 0.410583i \(0.865325\pi\)
\(128\) −7.50917 + 3.34330i −0.663723 + 0.295508i
\(129\) −1.70009 + 0.142554i −0.149684 + 0.0125511i
\(130\) −2.90945 + 0.618422i −0.255175 + 0.0542392i
\(131\) −1.99869 3.46183i −0.174626 0.302461i 0.765406 0.643548i \(-0.222538\pi\)
−0.940032 + 0.341087i \(0.889205\pi\)
\(132\) 9.06469 + 6.27031i 0.788980 + 0.545760i
\(133\) −3.30407 + 5.72282i −0.286500 + 0.496232i
\(134\) −0.153371 + 0.472027i −0.0132492 + 0.0407769i
\(135\) −6.52541 + 12.4709i −0.561618 + 1.07333i
\(136\) −3.90547 2.83749i −0.334892 0.243313i
\(137\) −1.06545 0.226469i −0.0910278 0.0193486i 0.162173 0.986762i \(-0.448150\pi\)
−0.253200 + 0.967414i \(0.581483\pi\)
\(138\) −0.881465 + 0.266014i −0.0750353 + 0.0226446i
\(139\) −0.301557 + 2.86912i −0.0255777 + 0.243356i 0.974261 + 0.225421i \(0.0723758\pi\)
−0.999839 + 0.0179347i \(0.994291\pi\)
\(140\) 19.3398 + 8.61062i 1.63451 + 0.727731i
\(141\) 7.69249 6.63836i 0.647824 0.559050i
\(142\) 0.818570 1.41780i 0.0686929 0.118980i
\(143\) −7.95683 9.99087i −0.665383 0.835478i
\(144\) 5.65848 8.91158i 0.471540 0.742632i
\(145\) 2.97431 9.15398i 0.247003 0.760197i
\(146\) 0.120614 + 1.14757i 0.00998210 + 0.0949733i
\(147\) 16.4827 + 2.08427i 1.35947 + 0.171908i
\(148\) −9.94279 + 11.0426i −0.817293 + 0.907695i
\(149\) 13.4996 14.9928i 1.10593 1.22826i 0.134504 0.990913i \(-0.457056\pi\)
0.971425 0.237346i \(-0.0762774\pi\)
\(150\) 1.14522 + 0.144816i 0.0935070 + 0.0118242i
\(151\) 1.15800 + 11.0177i 0.0942370 + 0.896605i 0.934868 + 0.354996i \(0.115518\pi\)
−0.840631 + 0.541609i \(0.817815\pi\)
\(152\) 0.560175 1.72404i 0.0454362 0.139838i
\(153\) 12.9491 + 0.545864i 1.04687 + 0.0441305i
\(154\) −0.170330 3.84851i −0.0137255 0.310122i
\(155\) 6.58844 11.4115i 0.529196 0.916595i
\(156\) −9.68885 + 8.36115i −0.775729 + 0.669428i
\(157\) 0.304014 + 0.135356i 0.0242629 + 0.0108025i 0.418832 0.908064i \(-0.362440\pi\)
−0.394569 + 0.918866i \(0.629106\pi\)
\(158\) 0.127575 1.21379i 0.0101493 0.0965640i
\(159\) −2.60638 + 0.786569i −0.206699 + 0.0623790i
\(160\) −8.57970 1.82367i −0.678285 0.144174i
\(161\) −6.14339 4.46344i −0.484167 0.351768i
\(162\) −0.0525050 2.56580i −0.00412518 0.201588i
\(163\) 4.12168 12.6852i 0.322835 0.993584i −0.649574 0.760299i \(-0.725053\pi\)
0.972408 0.233285i \(-0.0749475\pi\)
\(164\) 6.59276 11.4190i 0.514808 0.891674i
\(165\) 5.14995 + 14.6836i 0.400923 + 1.14311i
\(166\) 0.926759 + 1.60519i 0.0719304 + 0.124587i
\(167\) 18.5018 3.93268i 1.43171 0.304320i 0.574172 0.818735i \(-0.305324\pi\)
0.857541 + 0.514415i \(0.171991\pi\)
\(168\) −7.85600 + 0.658730i −0.606103 + 0.0508221i
\(169\) 1.67166 0.744272i 0.128589 0.0572517i
\(170\) −1.03115 3.17357i −0.0790860 0.243402i
\(171\) 1.30767 + 4.68791i 0.0999999 + 0.358494i
\(172\) 1.52896 + 1.11085i 0.116582 + 0.0847016i
\(173\) 0.158265 + 1.50579i 0.0120327 + 0.114483i 0.998890 0.0471135i \(-0.0150022\pi\)
−0.986857 + 0.161597i \(0.948336\pi\)
\(174\) 0.328640 + 1.72392i 0.0249141 + 0.130690i
\(175\) 4.76018 + 8.24487i 0.359836 + 0.623254i
\(176\) −2.92877 11.2969i −0.220764 0.851537i
\(177\) −17.2472 + 9.47903i −1.29638 + 0.712487i
\(178\) 1.76729 + 1.96277i 0.132464 + 0.147116i
\(179\) −10.6703 + 7.75244i −0.797537 + 0.579445i −0.910191 0.414190i \(-0.864065\pi\)
0.112653 + 0.993634i \(0.464065\pi\)
\(180\) 14.4981 5.73617i 1.08063 0.427549i
\(181\) 0.864886 + 2.66185i 0.0642865 + 0.197853i 0.978041 0.208414i \(-0.0668301\pi\)
−0.913754 + 0.406267i \(0.866830\pi\)
\(182\) 4.37516 + 0.929969i 0.324308 + 0.0689339i
\(183\) 5.77565 + 13.7444i 0.426948 + 1.01601i
\(184\) 1.90302 + 0.847278i 0.140292 + 0.0624621i
\(185\) −20.5193 + 4.36152i −1.50861 + 0.320665i
\(186\) −0.0506061 + 2.40205i −0.00371062 + 0.176127i
\(187\) 10.2138 10.0491i 0.746908 0.734861i
\(188\) −11.2557 −0.820907
\(189\) 16.5922 13.1410i 1.20690 0.955867i
\(190\) 1.01374 0.736522i 0.0735441 0.0534329i
\(191\) −15.2942 + 6.80940i −1.10665 + 0.492711i −0.876965 0.480555i \(-0.840435\pi\)
−0.229682 + 0.973266i \(0.573769\pi\)
\(192\) −10.1384 + 3.05962i −0.731675 + 0.220809i
\(193\) −14.7472 + 16.3784i −1.06153 + 1.17895i −0.0782316 + 0.996935i \(0.524927\pi\)
−0.983296 + 0.182011i \(0.941739\pi\)
\(194\) 0.220943 2.10214i 0.0158628 0.150925i
\(195\) −18.0042 + 1.50966i −1.28931 + 0.108109i
\(196\) −12.3148 13.6770i −0.879629 0.976927i
\(197\) 18.2247 1.29845 0.649227 0.760595i \(-0.275093\pi\)
0.649227 + 0.760595i \(0.275093\pi\)
\(198\) −2.11243 1.89402i −0.150124 0.134602i
\(199\) −25.0958 −1.77899 −0.889497 0.456942i \(-0.848945\pi\)
−0.889497 + 0.456942i \(0.848945\pi\)
\(200\) −1.74753 1.94083i −0.123569 0.137238i
\(201\) −1.28395 + 2.72767i −0.0905625 + 0.192395i
\(202\) 0.408869 3.89012i 0.0287679 0.273708i
\(203\) −9.68497 + 10.7563i −0.679752 + 0.754941i
\(204\) −10.4648 9.82945i −0.732680 0.688199i
\(205\) 17.0055 7.57133i 1.18771 0.528804i
\(206\) −1.17081 + 0.850642i −0.0815741 + 0.0592670i
\(207\) −5.51461 + 0.931355i −0.383292 + 0.0647337i
\(208\) 13.5506 0.939563
\(209\) 4.77408 + 2.48161i 0.330230 + 0.171657i
\(210\) −4.66087 2.82350i −0.321631 0.194840i
\(211\) −8.08930 + 1.71943i −0.556891 + 0.118371i −0.477755 0.878493i \(-0.658549\pi\)
−0.0791356 + 0.996864i \(0.525216\pi\)
\(212\) 2.75511 + 1.22666i 0.189222 + 0.0842470i
\(213\) 6.01329 7.92023i 0.412024 0.542685i
\(214\) 0.775105 + 0.164754i 0.0529851 + 0.0112623i
\(215\) 0.824482 + 2.53749i 0.0562292 + 0.173056i
\(216\) −3.70265 + 4.47243i −0.251933 + 0.304310i
\(217\) −16.0308 + 11.6470i −1.08824 + 0.790652i
\(218\) −3.31180 3.67812i −0.224303 0.249114i
\(219\) −0.147631 + 7.00740i −0.00997600 + 0.473516i
\(220\) 6.30790 16.0416i 0.425279 1.08152i
\(221\) 8.31846 + 14.4080i 0.559560 + 0.969187i
\(222\) 2.89576 2.49894i 0.194351 0.167718i
\(223\) 0.768502 + 7.31181i 0.0514627 + 0.489635i 0.989650 + 0.143506i \(0.0458375\pi\)
−0.938187 + 0.346129i \(0.887496\pi\)
\(224\) 10.6711 + 7.75301i 0.712993 + 0.518020i
\(225\) 6.79101 + 1.74538i 0.452734 + 0.116359i
\(226\) 0.0831507 + 0.255912i 0.00553110 + 0.0170230i
\(227\) −17.3036 + 7.70408i −1.14848 + 0.511338i −0.890577 0.454832i \(-0.849699\pi\)
−0.257906 + 0.966170i \(0.583032\pi\)
\(228\) 2.29610 4.87793i 0.152063 0.323049i
\(229\) 7.68770 1.63407i 0.508017 0.107982i 0.0532297 0.998582i \(-0.483048\pi\)
0.454788 + 0.890600i \(0.349715\pi\)
\(230\) 0.719959 + 1.24701i 0.0474727 + 0.0822251i
\(231\) 1.90623 23.3218i 0.125421 1.53446i
\(232\) 1.98527 3.43859i 0.130339 0.225754i
\(233\) −2.03006 + 6.24789i −0.132994 + 0.409313i −0.995273 0.0971212i \(-0.969037\pi\)
0.862279 + 0.506434i \(0.169037\pi\)
\(234\) 2.74432 1.82236i 0.179402 0.119132i
\(235\) −12.8556 9.34013i −0.838606 0.609283i
\(236\) 21.3247 + 4.53271i 1.38812 + 0.295054i
\(237\) 1.69374 7.21736i 0.110020 0.468818i
\(238\) −0.524517 + 4.99045i −0.0339994 + 0.323483i
\(239\) −23.3377 10.3906i −1.50959 0.672113i −0.525664 0.850692i \(-0.676183\pi\)
−0.983925 + 0.178580i \(0.942850\pi\)
\(240\) −15.5899 5.43108i −1.00632 0.350575i
\(241\) 1.49099 2.58247i 0.0960432 0.166352i −0.814000 0.580864i \(-0.802715\pi\)
0.910044 + 0.414513i \(0.136048\pi\)
\(242\) −3.12437 + 0.277103i −0.200842 + 0.0178129i
\(243\) 1.63880 15.5021i 0.105129 0.994459i
\(244\) 5.10344 15.7068i 0.326714 1.00552i
\(245\) −2.71589 25.8400i −0.173512 1.65086i
\(246\) −2.05239 + 2.70325i −0.130856 + 0.172353i
\(247\) −4.18032 + 4.64271i −0.265987 + 0.295409i
\(248\) 3.63722 4.03954i 0.230963 0.256511i
\(249\) 4.36165 + 10.3795i 0.276408 + 0.657772i
\(250\) 0.214983 + 2.04543i 0.0135967 + 0.129364i
\(251\) 3.60577 11.0974i 0.227594 0.700463i −0.770424 0.637532i \(-0.779955\pi\)
0.998018 0.0629308i \(-0.0200447\pi\)
\(252\) −23.4256 0.987495i −1.47567 0.0622064i
\(253\) −3.40953 + 5.15792i −0.214355 + 0.324276i
\(254\) −0.349364 + 0.605116i −0.0219211 + 0.0379684i
\(255\) −3.79562 19.9104i −0.237691 1.24684i
\(256\) 9.02987 + 4.02036i 0.564367 + 0.251272i
\(257\) −2.16630 + 20.6109i −0.135130 + 1.28567i 0.691273 + 0.722594i \(0.257050\pi\)
−0.826402 + 0.563080i \(0.809616\pi\)
\(258\) −0.354587 0.333060i −0.0220757 0.0207354i
\(259\) 30.8565 + 6.55876i 1.91733 + 0.407541i
\(260\) 16.1919 + 11.7641i 1.00418 + 0.729578i
\(261\) 0.666778 + 10.6392i 0.0412725 + 0.658547i
\(262\) 0.352231 1.08406i 0.0217609 0.0669732i
\(263\) −4.54273 + 7.86823i −0.280117 + 0.485176i −0.971413 0.237395i \(-0.923706\pi\)
0.691297 + 0.722571i \(0.257040\pi\)
\(264\) 0.818659 + 6.36660i 0.0503850 + 0.391837i
\(265\) 2.12883 + 3.68724i 0.130773 + 0.226505i
\(266\) −1.84313 + 0.391769i −0.113009 + 0.0240209i
\(267\) 9.15437 + 13.1748i 0.560238 + 0.806285i
\(268\) 3.05088 1.35834i 0.186362 0.0829737i
\(269\) 2.45399 + 7.55261i 0.149623 + 0.460491i 0.997576 0.0695792i \(-0.0221656\pi\)
−0.847954 + 0.530070i \(0.822166\pi\)
\(270\) −3.88773 + 0.996698i −0.236600 + 0.0606571i
\(271\) −3.01249 2.18870i −0.182995 0.132954i 0.492516 0.870303i \(-0.336077\pi\)
−0.675512 + 0.737349i \(0.736077\pi\)
\(272\) 1.58901 + 15.1185i 0.0963481 + 0.916691i
\(273\) 25.6570 + 8.93820i 1.55283 + 0.540964i
\(274\) −0.155300 0.268987i −0.00938201 0.0162501i
\(275\) 6.53527 4.16891i 0.394092 0.251395i
\(276\) 5.29890 + 3.21000i 0.318956 + 0.193219i
\(277\) −2.61004 2.89874i −0.156822 0.174168i 0.659614 0.751605i \(-0.270720\pi\)
−0.816436 + 0.577436i \(0.804053\pi\)
\(278\) −0.665523 + 0.483531i −0.0399154 + 0.0290003i
\(279\) −2.13539 + 14.4367i −0.127843 + 0.864302i
\(280\) 3.80987 + 11.7256i 0.227684 + 0.700738i
\(281\) −0.0387572 0.00823810i −0.00231206 0.000491444i 0.206756 0.978393i \(-0.433710\pi\)
−0.209068 + 0.977901i \(0.567043\pi\)
\(282\) 2.87445 + 0.363480i 0.171171 + 0.0216449i
\(283\) 5.84109 + 2.60062i 0.347217 + 0.154591i 0.572933 0.819602i \(-0.305806\pi\)
−0.225716 + 0.974193i \(0.572472\pi\)
\(284\) −10.7752 + 2.29033i −0.639389 + 0.135906i
\(285\) 6.67024 3.66595i 0.395111 0.217152i
\(286\) 0.598955 3.59238i 0.0354169 0.212422i
\(287\) −27.9925 −1.65235
\(288\) 9.57890 1.61777i 0.564442 0.0953279i
\(289\) −1.34634 + 0.978174i −0.0791965 + 0.0575397i
\(290\) 2.50729 1.11632i 0.147233 0.0655524i
\(291\) 2.93334 12.4996i 0.171955 0.732737i
\(292\) 5.19528 5.76994i 0.304031 0.337660i
\(293\) 2.44674 23.2792i 0.142940 1.35998i −0.654260 0.756270i \(-0.727020\pi\)
0.797200 0.603715i \(-0.206314\pi\)
\(294\) 2.70325 + 3.89047i 0.157657 + 0.226897i
\(295\) 20.5945 + 22.8725i 1.19906 + 1.33169i
\(296\) −8.65375 −0.502989
\(297\) −11.2866 13.0235i −0.654918 0.755700i
\(298\) 5.75282 0.333252
\(299\) −4.80375 5.33510i −0.277808 0.308537i
\(300\) −4.43212 6.37863i −0.255888 0.368270i
\(301\) 0.419389 3.99022i 0.0241732 0.229992i
\(302\) −2.11377 + 2.34758i −0.121634 + 0.135088i
\(303\) 5.42832 23.1312i 0.311849 1.32885i
\(304\) −5.21493 + 2.32184i −0.299097 + 0.133166i
\(305\) 18.8625 13.7044i 1.08007 0.784713i
\(306\) 2.35504 + 2.84815i 0.134629 + 0.162818i
\(307\) 29.1494 1.66365 0.831823 0.555042i \(-0.187298\pi\)
0.831823 + 0.555042i \(0.187298\pi\)
\(308\) −18.4773 + 18.1793i −1.05284 + 1.03586i
\(309\) −7.70376 + 4.23397i −0.438252 + 0.240862i
\(310\) 3.67526 0.781200i 0.208741 0.0443692i
\(311\) −18.0021 8.01504i −1.02080 0.454491i −0.173068 0.984910i \(-0.555368\pi\)
−0.847736 + 0.530418i \(0.822035\pi\)
\(312\) −7.39429 0.935024i −0.418619 0.0529353i
\(313\) −1.30913 0.278264i −0.0739964 0.0157284i 0.170765 0.985312i \(-0.445376\pi\)
−0.244761 + 0.969583i \(0.578710\pi\)
\(314\) 0.0293235 + 0.0902485i 0.00165482 + 0.00509302i
\(315\) −25.9359 20.5667i −1.46132 1.15880i
\(316\) −6.64387 + 4.82706i −0.373747 + 0.271543i
\(317\) 2.67712 + 2.97324i 0.150362 + 0.166994i 0.813620 0.581397i \(-0.197494\pi\)
−0.663258 + 0.748391i \(0.730827\pi\)
\(318\) −0.663980 0.402230i −0.0372342 0.0225560i
\(319\) 9.09815 + 7.49083i 0.509399 + 0.419406i
\(320\) 8.28080 + 14.3428i 0.462911 + 0.801785i
\(321\) 4.54540 + 1.58349i 0.253700 + 0.0883820i
\(322\) −0.226337 2.15346i −0.0126133 0.120007i
\(323\) −5.67011 4.11958i −0.315493 0.229219i
\(324\) −12.5937 + 11.8148i −0.699650 + 0.656379i
\(325\) 2.78134 + 8.56008i 0.154281 + 0.474828i
\(326\) 3.47451 1.54695i 0.192435 0.0856776i
\(327\) −17.1548 24.6889i −0.948661 1.36530i
\(328\) 7.51119 1.59655i 0.414736 0.0881548i
\(329\) 11.9478 + 20.6942i 0.658704 + 1.14091i
\(330\) −2.12892 + 3.89295i −0.117193 + 0.214300i
\(331\) −1.59017 + 2.75425i −0.0874034 + 0.151387i −0.906413 0.422393i \(-0.861190\pi\)
0.819009 + 0.573780i \(0.194524\pi\)
\(332\) 3.85401 11.8614i 0.211516 0.650980i
\(333\) 19.3548 12.8525i 1.06063 0.704314i
\(334\) 4.36353 + 3.17029i 0.238762 + 0.173471i
\(335\) 4.61169 + 0.980246i 0.251964 + 0.0535566i
\(336\) 18.0950 + 16.9965i 0.987165 + 0.927234i
\(337\) 1.90219 18.0981i 0.103619 0.985867i −0.811956 0.583719i \(-0.801597\pi\)
0.915575 0.402148i \(-0.131736\pi\)
\(338\) 0.476672 + 0.212228i 0.0259275 + 0.0115437i
\(339\) 0.306073 + 1.60554i 0.0166236 + 0.0872011i
\(340\) −11.2265 + 19.4449i −0.608844 + 1.05455i
\(341\) 10.0512 + 12.6206i 0.544303 + 0.683445i
\(342\) −0.743895 + 1.17156i −0.0402252 + 0.0633510i
\(343\) −3.26270 + 10.0416i −0.176169 + 0.542193i
\(344\) 0.115048 + 1.09461i 0.00620297 + 0.0590173i
\(345\) 3.38838 + 8.06336i 0.182424 + 0.434117i
\(346\) −0.288890 + 0.320845i −0.0155308 + 0.0172487i
\(347\) −18.3436 + 20.3726i −0.984737 + 1.09366i 0.0108618 + 0.999941i \(0.496543\pi\)
−0.995599 + 0.0937200i \(0.970124\pi\)
\(348\) 7.14068 9.40514i 0.382781 0.504168i
\(349\) −2.39428 22.7800i −0.128163 1.21939i −0.849796 0.527112i \(-0.823275\pi\)
0.721633 0.692276i \(-0.243392\pi\)
\(350\) −0.838893 + 2.58185i −0.0448407 + 0.138006i
\(351\) 17.9266 8.89072i 0.956849 0.474552i
\(352\) 5.92237 8.95933i 0.315663 0.477534i
\(353\) 14.8524 25.7250i 0.790511 1.36921i −0.135140 0.990827i \(-0.543148\pi\)
0.925651 0.378379i \(-0.123518\pi\)
\(354\) −5.29947 1.84619i −0.281663 0.0981237i
\(355\) −14.2073 6.32550i −0.754045 0.335722i
\(356\) 1.85765 17.6744i 0.0984554 0.936741i
\(357\) −6.96372 + 29.6739i −0.368559 + 1.57051i
\(358\) −3.67871 0.781933i −0.194426 0.0413265i
\(359\) 29.8183 + 21.6643i 1.57375 + 1.14340i 0.923450 + 0.383718i \(0.125356\pi\)
0.650299 + 0.759678i \(0.274644\pi\)
\(360\) 8.13234 + 4.03938i 0.428612 + 0.212894i
\(361\) −5.05804 + 15.5670i −0.266213 + 0.819318i
\(362\) −0.399041 + 0.691159i −0.0209731 + 0.0363265i
\(363\) −19.0393 0.710974i −0.999303 0.0373164i
\(364\) −15.0485 26.0648i −0.788756 1.36617i
\(365\) 10.7217 2.27897i 0.561199 0.119287i
\(366\) −1.81052 + 3.84635i −0.0946374 + 0.201052i
\(367\) −22.7113 + 10.1117i −1.18552 + 0.527828i −0.902251 0.431212i \(-0.858086\pi\)
−0.283270 + 0.959040i \(0.591419\pi\)
\(368\) −2.02708 6.23872i −0.105669 0.325216i
\(369\) −14.4281 + 14.7264i −0.751098 + 0.766625i
\(370\) −4.83936 3.51600i −0.251586 0.182788i
\(371\) −0.669251 6.36750i −0.0347458 0.330584i
\(372\) 12.2391 10.5619i 0.634569 0.547611i
\(373\) −9.13952 15.8301i −0.473227 0.819653i 0.526304 0.850297i \(-0.323578\pi\)
−0.999530 + 0.0306440i \(0.990244\pi\)
\(374\) 4.07828 + 0.246996i 0.210883 + 0.0127719i
\(375\) −0.263138 + 12.4900i −0.0135884 + 0.644981i
\(376\) −4.38622 4.87139i −0.226202 0.251223i
\(377\) −11.0704 + 8.04312i −0.570155 + 0.414242i
\(378\) 5.95047 + 1.00867i 0.306059 + 0.0518802i
\(379\) −9.72145 29.9196i −0.499357 1.53686i −0.810054 0.586355i \(-0.800562\pi\)
0.310697 0.950509i \(-0.399438\pi\)
\(380\) −8.24717 1.75299i −0.423071 0.0899265i
\(381\) −2.56646 + 3.38034i −0.131484 + 0.173180i
\(382\) −4.36111 1.94169i −0.223134 0.0993455i
\(383\) 12.1601 2.58471i 0.621352 0.132073i 0.113530 0.993535i \(-0.463784\pi\)
0.507822 + 0.861462i \(0.330451\pi\)
\(384\) −12.1770 7.37668i −0.621407 0.376440i
\(385\) −36.1891 + 5.43056i −1.84437 + 0.276767i
\(386\) −6.28449 −0.319872
\(387\) −1.88302 2.27730i −0.0957193 0.115762i
\(388\) −11.5064 + 8.35986i −0.584147 + 0.424408i
\(389\) 6.68686 2.97718i 0.339037 0.150949i −0.230154 0.973154i \(-0.573923\pi\)
0.569191 + 0.822205i \(0.307256\pi\)
\(390\) −3.75514 3.52716i −0.190149 0.178605i
\(391\) 5.38909 5.98520i 0.272538 0.302684i
\(392\) 1.12036 10.6595i 0.0565868 0.538388i
\(393\) 2.94871 6.26435i 0.148743 0.315995i
\(394\) 3.47729 + 3.86193i 0.175184 + 0.194561i
\(395\) −11.5938 −0.583346
\(396\) 0.0400930 + 19.0907i 0.00201475 + 0.959343i
\(397\) 34.2087 1.71688 0.858442 0.512911i \(-0.171433\pi\)
0.858442 + 0.512911i \(0.171433\pi\)
\(398\) −4.78831 5.31796i −0.240016 0.266565i
\(399\) −11.4056 + 0.956369i −0.570995 + 0.0478783i
\(400\) −0.859660 + 8.17911i −0.0429830 + 0.408956i
\(401\) 5.00227 5.55558i 0.249801 0.277433i −0.605183 0.796086i \(-0.706900\pi\)
0.854984 + 0.518654i \(0.173567\pi\)
\(402\) −0.822989 + 0.248367i −0.0410470 + 0.0123874i
\(403\) −17.1137 + 7.61953i −0.852496 + 0.379556i
\(404\) −21.2932 + 15.4704i −1.05938 + 0.769682i
\(405\) −24.1878 + 3.04376i −1.20190 + 0.151246i
\(406\) −4.12723 −0.204831
\(407\) 4.22423 25.3358i 0.209387 1.25585i
\(408\) 0.176117 8.35950i 0.00871910 0.413857i
\(409\) −2.35753 + 0.501108i −0.116572 + 0.0247782i −0.265828 0.964020i \(-0.585645\pi\)
0.149256 + 0.988799i \(0.452312\pi\)
\(410\) 4.84908 + 2.15895i 0.239479 + 0.106623i
\(411\) −0.730895 1.73932i −0.0360524 0.0857943i
\(412\) 9.52503 + 2.02461i 0.469265 + 0.0997453i
\(413\) −14.3023 44.0180i −0.703771 2.16598i
\(414\) −1.24956 0.990878i −0.0614123 0.0486990i
\(415\) 14.2446 10.3493i 0.699239 0.508027i
\(416\) 8.34413 + 9.26709i 0.409104 + 0.454357i
\(417\) −4.37905 + 2.40672i −0.214443 + 0.117857i
\(418\) 0.385032 + 1.48515i 0.0188325 + 0.0726412i
\(419\) 5.60088 + 9.70101i 0.273621 + 0.473925i 0.969786 0.243956i \(-0.0784453\pi\)
−0.696165 + 0.717881i \(0.745112\pi\)
\(420\) 6.86646 + 36.0189i 0.335049 + 1.75754i
\(421\) 0.721755 + 6.86704i 0.0351762 + 0.334679i 0.997931 + 0.0643013i \(0.0204819\pi\)
−0.962754 + 0.270378i \(0.912851\pi\)
\(422\) −1.90781 1.38611i −0.0928708 0.0674746i
\(423\) 17.0451 + 4.38082i 0.828760 + 0.213003i
\(424\) 0.542748 + 1.67041i 0.0263582 + 0.0811222i
\(425\) −9.22439 + 4.10696i −0.447449 + 0.199217i
\(426\) 2.82569 0.236936i 0.136905 0.0114796i
\(427\) −34.2950 + 7.28962i −1.65965 + 0.352770i
\(428\) −2.66600 4.61765i −0.128866 0.223202i
\(429\) 6.34693 21.1920i 0.306433 1.02316i
\(430\) −0.380399 + 0.658871i −0.0183445 + 0.0317736i
\(431\) −9.01729 + 27.7524i −0.434348 + 1.33678i 0.459406 + 0.888226i \(0.348062\pi\)
−0.893754 + 0.448558i \(0.851938\pi\)
\(432\) 18.2682 0.759031i 0.878930 0.0365189i
\(433\) 29.5582 + 21.4753i 1.42048 + 1.03204i 0.991693 + 0.128630i \(0.0410581\pi\)
0.428785 + 0.903407i \(0.358942\pi\)
\(434\) −5.52677 1.17475i −0.265294 0.0563899i
\(435\) 15.9602 4.81655i 0.765231 0.230936i
\(436\) −3.48114 + 33.1208i −0.166716 + 1.58620i
\(437\) 2.76287 + 1.23011i 0.132166 + 0.0588441i
\(438\) −1.51308 + 1.30574i −0.0722979 + 0.0623906i
\(439\) 10.7487 18.6173i 0.513009 0.888557i −0.486877 0.873470i \(-0.661864\pi\)
0.999886 0.0150869i \(-0.00480250\pi\)
\(440\) 9.40081 3.52121i 0.448166 0.167867i
\(441\) 13.3257 + 25.5048i 0.634558 + 1.21451i
\(442\) −1.46597 + 4.51180i −0.0697293 + 0.214605i
\(443\) 3.49595 + 33.2618i 0.166098 + 1.58031i 0.686974 + 0.726682i \(0.258939\pi\)
−0.520876 + 0.853633i \(0.674395\pi\)
\(444\) −25.5337 3.22879i −1.21177 0.153232i
\(445\) 16.7881 18.6451i 0.795834 0.883863i
\(446\) −1.40279 + 1.55795i −0.0664240 + 0.0737713i
\(447\) 34.6677 + 4.38381i 1.63973 + 0.207347i
\(448\) −2.60328 24.7685i −0.122993 1.17020i
\(449\) 12.2165 37.5984i 0.576530 1.77438i −0.0543777 0.998520i \(-0.517318\pi\)
0.630908 0.775858i \(-0.282682\pi\)
\(450\) 0.925876 + 1.77208i 0.0436462 + 0.0835367i
\(451\) 1.00777 + 22.7700i 0.0474540 + 1.07220i
\(452\) 0.905290 1.56801i 0.0425813 0.0737529i
\(453\) −14.5269 + 12.5363i −0.682535 + 0.589005i
\(454\) −4.93411 2.19681i −0.231569 0.103101i
\(455\) 4.44140 42.2571i 0.208216 1.98104i
\(456\) 3.00590 0.907139i 0.140764 0.0424807i
\(457\) −36.6926 7.79925i −1.71641 0.364834i −0.758447 0.651735i \(-0.774041\pi\)
−0.957960 + 0.286901i \(0.907375\pi\)
\(458\) 1.81309 + 1.31729i 0.0847204 + 0.0615529i
\(459\) 12.0216 + 18.9582i 0.561120 + 0.884893i
\(460\) 2.99402 9.21464i 0.139597 0.429635i
\(461\) −9.68265 + 16.7708i −0.450966 + 0.781096i −0.998446 0.0557228i \(-0.982254\pi\)
0.547480 + 0.836818i \(0.315587\pi\)
\(462\) 5.30574 4.04588i 0.246846 0.188232i
\(463\) 7.17464 + 12.4268i 0.333434 + 0.577524i 0.983183 0.182625i \(-0.0584594\pi\)
−0.649749 + 0.760149i \(0.725126\pi\)
\(464\) −12.2301 + 2.59959i −0.567769 + 0.120683i
\(465\) 22.7432 1.90703i 1.05469 0.0884365i
\(466\) −1.71131 + 0.761923i −0.0792748 + 0.0352954i
\(467\) −6.89755 21.2285i −0.319180 0.982336i −0.973999 0.226551i \(-0.927255\pi\)
0.654819 0.755786i \(-0.272745\pi\)
\(468\) −21.4686 5.51774i −0.992389 0.255058i
\(469\) −5.73585 4.16734i −0.264857 0.192430i
\(470\) −0.473631 4.50629i −0.0218469 0.207860i
\(471\) 0.107938 + 0.566203i 0.00497352 + 0.0260892i
\(472\) 6.34827 + 10.9955i 0.292203 + 0.506110i
\(473\) −3.26087 0.197491i −0.149935 0.00908065i
\(474\) 1.85257 1.01817i 0.0850915 0.0467660i
\(475\) −2.53713 2.81777i −0.116412 0.129288i
\(476\) 27.3160 19.8462i 1.25203 0.909651i
\(477\) −3.69478 2.92990i −0.169172 0.134151i
\(478\) −2.25103 6.92795i −0.102960 0.316877i
\(479\) 22.7533 + 4.83637i 1.03963 + 0.220979i 0.695936 0.718104i \(-0.254990\pi\)
0.343690 + 0.939083i \(0.388323\pi\)
\(480\) −5.88563 14.0061i −0.268641 0.639288i
\(481\) 27.2453 + 12.1304i 1.24228 + 0.553098i
\(482\) 0.831726 0.176789i 0.0378841 0.00805251i
\(483\) 0.277036 13.1497i 0.0126056 0.598331i
\(484\) 15.4528 + 14.3756i 0.702401 + 0.653434i
\(485\) −20.0790 −0.911740
\(486\) 3.59768 2.61055i 0.163194 0.118417i
\(487\) −0.219083 + 0.159173i −0.00992760 + 0.00721282i −0.592738 0.805395i \(-0.701953\pi\)
0.582810 + 0.812608i \(0.301953\pi\)
\(488\) 8.78654 3.91202i 0.397748 0.177089i
\(489\) 22.1170 6.67459i 1.00016 0.301835i
\(490\) 4.95747 5.50583i 0.223956 0.248728i
\(491\) 0.439705 4.18351i 0.0198436 0.188799i −0.980110 0.198456i \(-0.936407\pi\)
0.999953 + 0.00965687i \(0.00307392\pi\)
\(492\) 22.7581 1.90828i 1.02602 0.0860321i
\(493\) −10.2719 11.4081i −0.462625 0.513797i
\(494\) −1.78143 −0.0801504
\(495\) −15.7959 + 21.8375i −0.709973 + 0.981522i
\(496\) −17.1173 −0.768589
\(497\) 15.6486 + 17.3796i 0.701936 + 0.779579i
\(498\) −1.36727 + 2.90468i −0.0612687 + 0.130162i
\(499\) 1.60600 15.2801i 0.0718944 0.684030i −0.897916 0.440168i \(-0.854919\pi\)
0.969810 0.243862i \(-0.0784144\pi\)
\(500\) 9.26007 10.2844i 0.414123 0.459930i
\(501\) 23.8798 + 22.4300i 1.06687 + 1.00210i
\(502\) 3.03960 1.35332i 0.135664 0.0604016i
\(503\) −3.16786 + 2.30159i −0.141248 + 0.102623i −0.656165 0.754617i \(-0.727823\pi\)
0.514917 + 0.857240i \(0.327823\pi\)
\(504\) −8.70131 10.5233i −0.387587 0.468743i
\(505\) −37.1573 −1.65348
\(506\) −1.74354 + 0.261637i −0.0775099 + 0.0116312i
\(507\) 2.71081 + 1.64217i 0.120391 + 0.0729314i
\(508\) 4.59882 0.977510i 0.204040 0.0433700i
\(509\) 26.0812 + 11.6121i 1.15603 + 0.514696i 0.892984 0.450088i \(-0.148607\pi\)
0.263043 + 0.964784i \(0.415274\pi\)
\(510\) 3.49493 4.60325i 0.154758 0.203835i
\(511\) −16.1231 3.42706i −0.713242 0.151604i
\(512\) 5.95109 + 18.3156i 0.263004 + 0.809442i
\(513\) −5.37564 + 6.49324i −0.237340 + 0.286683i
\(514\) −4.78092 + 3.47354i −0.210877 + 0.153211i
\(515\) 9.19887 + 10.2164i 0.405351 + 0.450187i
\(516\) −0.0689482 + 3.27266i −0.00303528 + 0.144071i
\(517\) 16.4032 10.4637i 0.721411 0.460195i
\(518\) 4.49763 + 7.79012i 0.197615 + 0.342278i
\(519\) −1.98541 + 1.71334i −0.0871498 + 0.0752073i
\(520\) 1.21838 + 11.5921i 0.0534293 + 0.508346i
\(521\) 11.5485 + 8.39049i 0.505950 + 0.367594i 0.811285 0.584651i \(-0.198768\pi\)
−0.305335 + 0.952245i \(0.598768\pi\)
\(522\) −2.12729 + 2.17126i −0.0931088 + 0.0950336i
\(523\) −10.2462 31.5345i −0.448034 1.37891i −0.879122 0.476597i \(-0.841870\pi\)
0.431088 0.902310i \(-0.358130\pi\)
\(524\) −7.00664 + 3.11956i −0.306086 + 0.136278i
\(525\) −7.02279 + 14.9195i −0.306500 + 0.651141i
\(526\) −2.53409 + 0.538637i −0.110492 + 0.0234857i
\(527\) −10.5080 18.2004i −0.457736 0.792822i
\(528\) 13.1740 15.3310i 0.573326 0.667195i
\(529\) 9.76231 16.9088i 0.424448 0.735166i
\(530\) −0.375166 + 1.15464i −0.0162962 + 0.0501545i
\(531\) −30.5289 15.1639i −1.32484 0.658056i
\(532\) 10.2575 + 7.45252i 0.444720 + 0.323108i
\(533\) −25.8860 5.50224i −1.12125 0.238329i
\(534\) −1.04516 + 4.45364i −0.0452285 + 0.192728i
\(535\) 0.786839 7.48627i 0.0340180 0.323660i
\(536\) 1.77677 + 0.791070i 0.0767449 + 0.0341690i
\(537\) −21.5728 7.51538i −0.930937 0.324313i
\(538\) −1.13222 + 1.96107i −0.0488136 + 0.0845476i
\(539\) 30.6613 + 8.48344i 1.32068 + 0.365407i
\(540\) 22.4881 + 14.9528i 0.967733 + 0.643466i
\(541\) −8.79490 + 27.0679i −0.378122 + 1.16374i 0.563226 + 0.826303i \(0.309560\pi\)
−0.941348 + 0.337437i \(0.890440\pi\)
\(542\) −0.110987 1.05597i −0.00476731 0.0453579i
\(543\) −2.93139 + 3.86100i −0.125798 + 0.165691i
\(544\) −9.36088 + 10.3963i −0.401344 + 0.445738i
\(545\) −31.4600 + 34.9399i −1.34760 + 1.49666i
\(546\) 3.00134 + 7.14231i 0.128445 + 0.305663i
\(547\) 3.21390 + 30.5782i 0.137416 + 1.30743i 0.818195 + 0.574940i \(0.194975\pi\)
−0.680779 + 0.732489i \(0.738359\pi\)
\(548\) −0.645829 + 1.98766i −0.0275884 + 0.0849085i
\(549\) −13.8416 + 21.7993i −0.590746 + 0.930370i
\(550\) 2.13036 + 0.589432i 0.0908388 + 0.0251335i
\(551\) 2.88228 4.99226i 0.122789 0.212678i
\(552\) 0.675654 + 3.54423i 0.0287577 + 0.150852i
\(553\) 15.9272 + 7.09124i 0.677293 + 0.301550i
\(554\) 0.116263 1.10617i 0.00493954 0.0469965i
\(555\) −26.4837 24.8759i −1.12417 1.05592i
\(556\) 5.41432 + 1.15085i 0.229618 + 0.0488069i
\(557\) 5.90145 + 4.28765i 0.250052 + 0.181674i 0.705750 0.708461i \(-0.250610\pi\)
−0.455698 + 0.890135i \(0.650610\pi\)
\(558\) −3.46667 + 2.30204i −0.146756 + 0.0974531i
\(559\) 1.17215 3.60751i 0.0495767 0.152581i
\(560\) 19.4122 33.6230i 0.820316 1.42083i
\(561\) 24.3884 + 4.59622i 1.02968 + 0.194052i
\(562\) −0.00564923 0.00978475i −0.000238298 0.000412745i
\(563\) 35.7742 7.60405i 1.50770 0.320472i 0.621369 0.783518i \(-0.286577\pi\)
0.886335 + 0.463045i \(0.153243\pi\)
\(564\) −11.1244 16.0100i −0.468421 0.674144i
\(565\) 2.33512 1.03966i 0.0982393 0.0437389i
\(566\) 0.563400 + 1.73397i 0.0236815 + 0.0728841i
\(567\) 35.0902 + 10.6129i 1.47365 + 0.445699i
\(568\) −5.19020 3.77090i −0.217776 0.158224i
\(569\) −0.0158344 0.150654i −0.000663811 0.00631574i 0.994185 0.107686i \(-0.0343441\pi\)
−0.994849 + 0.101370i \(0.967677\pi\)
\(570\) 2.04953 + 0.714000i 0.0858454 + 0.0299062i
\(571\) −21.6127 37.4343i −0.904463 1.56658i −0.821637 0.570012i \(-0.806939\pi\)
−0.0828262 0.996564i \(-0.526395\pi\)
\(572\) −20.6602 + 13.1793i −0.863845 + 0.551055i
\(573\) −24.8014 15.0243i −1.03609 0.627651i
\(574\) −5.34102 5.93180i −0.222930 0.247589i
\(575\) 3.52502 2.56108i 0.147003 0.106804i
\(576\) −14.3721 11.3968i −0.598837 0.474868i
\(577\) 9.00017 + 27.6997i 0.374682 + 1.15315i 0.943693 + 0.330822i \(0.107326\pi\)
−0.569011 + 0.822330i \(0.692674\pi\)
\(578\) −0.464165 0.0986614i −0.0193067 0.00410377i
\(579\) −37.8717 4.78896i −1.57390 0.199022i
\(580\) −16.8709 7.51142i −0.700527 0.311895i
\(581\) −25.8988 + 5.50497i −1.07446 + 0.228385i
\(582\) 3.20842 1.76334i 0.132993 0.0730929i
\(583\) −5.15543 + 0.773629i −0.213516 + 0.0320404i
\(584\) 4.52173 0.187111
\(585\) −19.9415 24.1170i −0.824479 0.997115i
\(586\) 5.39985 3.92322i 0.223066 0.162067i
\(587\) −20.7328 + 9.23084i −0.855734 + 0.380997i −0.787235 0.616654i \(-0.788488\pi\)
−0.0684998 + 0.997651i \(0.521821\pi\)
\(588\) 7.28289 31.0339i 0.300341 1.27982i
\(589\) 5.28064 5.86475i 0.217585 0.241653i
\(590\) −0.917372 + 8.72821i −0.0377676 + 0.359335i
\(591\) 18.0120 + 25.9226i 0.740916 + 1.06631i
\(592\) 18.2344 + 20.2514i 0.749431 + 0.832327i
\(593\) −22.9308 −0.941656 −0.470828 0.882225i \(-0.656045\pi\)
−0.470828 + 0.882225i \(0.656045\pi\)
\(594\) 0.606256 4.87662i 0.0248750 0.200090i
\(595\) 47.6673 1.95417
\(596\) −25.9015 28.7666i −1.06097 1.17832i
\(597\) −24.8030 35.6960i −1.01512 1.46094i
\(598\) 0.213981 2.03589i 0.00875032 0.0832538i
\(599\) −8.36460 + 9.28982i −0.341768 + 0.379572i −0.889386 0.457156i \(-0.848868\pi\)
0.547618 + 0.836728i \(0.315535\pi\)
\(600\) 1.03348 4.40387i 0.0421916 0.179787i
\(601\) 20.5354 9.14296i 0.837658 0.372949i 0.0573569 0.998354i \(-0.481733\pi\)
0.780301 + 0.625405i \(0.215066\pi\)
\(602\) 0.925574 0.672469i 0.0377236 0.0274078i
\(603\) −5.14878 + 0.869570i −0.209674 + 0.0354116i
\(604\) 21.2559 0.864892
\(605\) 5.72025 + 29.2418i 0.232561 + 1.18885i
\(606\) 5.93738 3.26317i 0.241190 0.132557i
\(607\) −26.1212 + 5.55223i −1.06023 + 0.225358i −0.704843 0.709363i \(-0.748983\pi\)
−0.355383 + 0.934721i \(0.615649\pi\)
\(608\) −4.79912 2.13670i −0.194630 0.0866548i
\(609\) −24.8716 3.14506i −1.00785 0.127444i
\(610\) 6.50306 + 1.38227i 0.263301 + 0.0559664i
\(611\) 6.98102 + 21.4854i 0.282422 + 0.869205i
\(612\) 3.63865 24.5998i 0.147084 0.994386i
\(613\) 35.1797 25.5595i 1.42089 1.03234i 0.429269 0.903176i \(-0.358771\pi\)
0.991623 0.129163i \(-0.0412289\pi\)
\(614\) 5.56175 + 6.17695i 0.224454 + 0.249282i
\(615\) 27.5765 + 16.7055i 1.11199 + 0.673629i
\(616\) −15.0683 0.912593i −0.607118 0.0367694i
\(617\) −20.7128 35.8756i −0.833864 1.44430i −0.894952 0.446163i \(-0.852790\pi\)
0.0610871 0.998132i \(-0.480543\pi\)
\(618\) −2.36709 0.824630i −0.0952185 0.0331715i
\(619\) −0.931532 8.86293i −0.0374414 0.356231i −0.997163 0.0752773i \(-0.976016\pi\)
0.959721 0.280954i \(-0.0906508\pi\)
\(620\) −20.4539 14.8606i −0.821446 0.596816i
\(621\) −6.77502 6.92344i −0.271872 0.277828i
\(622\) −1.73638 5.34404i −0.0696227 0.214277i
\(623\) −34.4672 + 15.3458i −1.38090 + 0.614815i
\(624\) 13.3925 + 19.2742i 0.536128 + 0.771586i
\(625\) 30.5412 6.49173i 1.22165 0.259669i
\(626\) −0.190818 0.330506i −0.00762662 0.0132097i
\(627\) 1.18856 + 9.24327i 0.0474665 + 0.369141i
\(628\) 0.319255 0.552966i 0.0127397 0.0220657i
\(629\) −10.3390 + 31.8202i −0.412244 + 1.26876i
\(630\) −0.590379 9.42014i −0.0235213 0.375307i
\(631\) 4.58752 + 3.33303i 0.182626 + 0.132686i 0.675342 0.737504i \(-0.263996\pi\)
−0.492716 + 0.870190i \(0.663996\pi\)
\(632\) −4.67816 0.994373i −0.186087 0.0395540i
\(633\) −10.4406 9.80678i −0.414978 0.389785i
\(634\) −0.119251 + 1.13460i −0.00473606 + 0.0450606i
\(635\) 6.06365 + 2.69971i 0.240628 + 0.107135i
\(636\) 0.978185 + 5.13119i 0.0387876 + 0.203465i
\(637\) −18.4693 + 31.9898i −0.731780 + 1.26748i
\(638\) 0.148586 + 3.35722i 0.00588257 + 0.132914i
\(639\) 17.2088 + 0.725429i 0.680770 + 0.0286975i
\(640\) −6.88034 + 21.1755i −0.271970 + 0.837036i
\(641\) −2.80327 26.6713i −0.110722 1.05345i −0.898945 0.438062i \(-0.855665\pi\)
0.788222 0.615390i \(-0.211002\pi\)
\(642\) 0.531717 + 1.26533i 0.0209852 + 0.0499387i
\(643\) 9.46047 10.5069i 0.373085 0.414352i −0.527140 0.849779i \(-0.676736\pi\)
0.900224 + 0.435426i \(0.143402\pi\)
\(644\) −9.74915 + 10.8275i −0.384170 + 0.426664i
\(645\) −2.79445 + 3.68062i −0.110031 + 0.144924i
\(646\) −0.208900 1.98756i −0.00821908 0.0781993i
\(647\) −0.393698 + 1.21168i −0.0154779 + 0.0476360i −0.958497 0.285102i \(-0.907973\pi\)
0.943019 + 0.332738i \(0.107973\pi\)
\(648\) −10.0210 0.846365i −0.393662 0.0332484i
\(649\) −35.2907 + 13.2187i −1.38528 + 0.518878i
\(650\) −1.28325 + 2.22266i −0.0503334 + 0.0871799i
\(651\) −32.4104 11.2909i −1.27026 0.442524i
\(652\) −23.3791 10.4090i −0.915595 0.407649i
\(653\) 0.504698 4.80188i 0.0197504 0.187912i −0.980199 0.198017i \(-0.936550\pi\)
0.999949 + 0.0101049i \(0.00321654\pi\)
\(654\) 1.95857 8.34588i 0.0765863 0.326350i
\(655\) −10.5912 2.25123i −0.413833 0.0879629i
\(656\) −19.5632 14.2135i −0.763813 0.554942i
\(657\) −10.1132 + 6.71566i −0.394553 + 0.262003i
\(658\) −2.10558 + 6.48030i −0.0820840 + 0.252628i
\(659\) 11.0889 19.2065i 0.431961 0.748178i −0.565082 0.825035i \(-0.691155\pi\)
0.997042 + 0.0768574i \(0.0244886\pi\)
\(660\) 29.0517 6.88213i 1.13084 0.267887i
\(661\) 13.6987 + 23.7269i 0.532820 + 0.922871i 0.999265 + 0.0383209i \(0.0122009\pi\)
−0.466446 + 0.884550i \(0.654466\pi\)
\(662\) −0.887049 + 0.188548i −0.0344761 + 0.00732813i
\(663\) −12.2724 + 26.0720i −0.476621 + 1.01255i
\(664\) 6.63541 2.95427i 0.257504 0.114648i
\(665\) 5.53132 + 17.0236i 0.214495 + 0.660148i
\(666\) 6.41645 + 1.64912i 0.248632 + 0.0639020i
\(667\) 5.35915 + 3.89365i 0.207507 + 0.150763i
\(668\) −3.79358 36.0935i −0.146778 1.39650i
\(669\) −9.64072 + 8.31961i −0.372732 + 0.321655i
\(670\) 0.672198 + 1.16428i 0.0259693 + 0.0449801i
\(671\) 7.16428 + 27.6342i 0.276574 + 1.06681i
\(672\) −0.481213 + 22.8410i −0.0185632 + 0.881112i
\(673\) 23.5825 + 26.1911i 0.909040 + 1.00959i 0.999906 + 0.0137279i \(0.00436986\pi\)
−0.0908659 + 0.995863i \(0.528963\pi\)
\(674\) 4.19805 3.05006i 0.161703 0.117484i
\(675\) 4.22916 + 11.3845i 0.162780 + 0.438189i
\(676\) −1.08494 3.33910i −0.0417285 0.128427i
\(677\) 43.0874 + 9.15850i 1.65598 + 0.351990i 0.938685 0.344777i \(-0.112045\pi\)
0.717298 + 0.696767i \(0.245379\pi\)
\(678\) −0.281826 + 0.371199i −0.0108235 + 0.0142558i
\(679\) 27.5839 + 12.2811i 1.05857 + 0.471307i
\(680\) −12.7905 + 2.71870i −0.490493 + 0.104257i
\(681\) −28.0600 16.9984i −1.07526 0.651379i
\(682\) −0.756610 + 4.53795i −0.0289721 + 0.173767i
\(683\) 42.2845 1.61797 0.808985 0.587829i \(-0.200017\pi\)
0.808985 + 0.587829i \(0.200017\pi\)
\(684\) 9.20765 1.55507i 0.352063 0.0594595i
\(685\) −2.38701 + 1.73426i −0.0912029 + 0.0662628i
\(686\) −2.75040 + 1.22456i −0.105011 + 0.0467538i
\(687\) 9.92229 + 9.31991i 0.378559 + 0.355577i
\(688\) 2.31917 2.57570i 0.0884174 0.0981975i
\(689\) 0.632714 6.01987i 0.0241045 0.229339i
\(690\) −1.06217 + 2.25652i −0.0404362 + 0.0859043i
\(691\) −5.66545 6.29212i −0.215524 0.239363i 0.625682 0.780078i \(-0.284821\pi\)
−0.841206 + 0.540715i \(0.818154\pi\)
\(692\) 2.90507 0.110434
\(693\) 35.0567 20.3383i 1.33169 0.772586i
\(694\) −7.81709 −0.296733
\(695\) 5.22892 + 5.80730i 0.198344 + 0.220284i
\(696\) 6.85312 0.574639i 0.259767 0.0217816i
\(697\) 3.10335 29.5264i 0.117548 1.11839i
\(698\) 4.37041 4.85383i 0.165422 0.183720i
\(699\) −10.8933 + 3.28745i −0.412023 + 0.124343i
\(700\) 16.6874 7.42970i 0.630724 0.280816i
\(701\) −35.2342 + 25.5991i −1.33078 + 0.966865i −0.331046 + 0.943615i \(0.607401\pi\)
−0.999730 + 0.0232503i \(0.992599\pi\)
\(702\) 5.30442 + 2.10239i 0.200202 + 0.0793497i
\(703\) −12.5638 −0.473854
\(704\) −20.0538 + 3.00929i −0.755806 + 0.113417i
\(705\) 0.579722 27.5168i 0.0218336 1.03634i
\(706\) 8.28515 1.76106i 0.311816 0.0662785i
\(707\) 51.0456 + 22.7270i 1.91977 + 0.854736i
\(708\) 14.6286 + 34.8119i 0.549777 + 1.30831i
\(709\) 5.89558 + 1.25314i 0.221413 + 0.0470628i 0.317282 0.948331i \(-0.397230\pi\)
−0.0958693 + 0.995394i \(0.530563\pi\)
\(710\) −1.37036 4.21753i −0.0514287 0.158281i
\(711\) 11.9399 4.72400i 0.447781 0.177164i
\(712\) 8.37326 6.08353i 0.313801 0.227990i
\(713\) 6.06817 + 6.73939i 0.227255 + 0.252392i
\(714\) −7.61677 + 4.18616i −0.285051 + 0.156663i
\(715\) −34.5332 2.09146i −1.29147 0.0782163i
\(716\) 12.6530 + 21.9157i 0.472866 + 0.819028i
\(717\) −8.28589 43.4647i −0.309442 1.62322i
\(718\) 1.09858 + 10.4523i 0.0409985 + 0.390075i
\(719\) −32.6897 23.7504i −1.21912 0.885741i −0.223092 0.974797i \(-0.571615\pi\)
−0.996027 + 0.0890560i \(0.971615\pi\)
\(720\) −7.68286 27.5426i −0.286323 1.02645i
\(721\) −6.38836 19.6614i −0.237915 0.732227i
\(722\) −4.26384 + 1.89838i −0.158684 + 0.0706505i
\(723\) 5.14688 0.431570i 0.191415 0.0160502i
\(724\) 5.25274 1.11650i 0.195216 0.0414945i
\(725\) −4.15251 7.19235i −0.154220 0.267117i
\(726\) −3.48206 4.17020i −0.129232 0.154771i
\(727\) −9.36031 + 16.2125i −0.347155 + 0.601290i −0.985743 0.168259i \(-0.946185\pi\)
0.638588 + 0.769549i \(0.279519\pi\)
\(728\) 5.41643 16.6700i 0.200746 0.617833i
\(729\) 23.6697 12.9902i 0.876656 0.481118i
\(730\) 2.52864 + 1.83717i 0.0935893 + 0.0679966i
\(731\) 4.16237 + 0.884740i 0.153951 + 0.0327233i
\(732\) 27.3851 8.26444i 1.01218 0.305462i
\(733\) −0.0589741 + 0.561101i −0.00217826 + 0.0207247i −0.995557 0.0941604i \(-0.969983\pi\)
0.993379 + 0.114885i \(0.0366500\pi\)
\(734\) −6.47609 2.88334i −0.239037 0.106426i
\(735\) 34.0704 29.4016i 1.25671 1.08449i
\(736\) 3.01837 5.22796i 0.111258 0.192705i
\(737\) −3.18335 + 4.81575i −0.117260 + 0.177391i
\(738\) −5.87353 0.247596i −0.216208 0.00911413i
\(739\) 0.602004 1.85278i 0.0221451 0.0681555i −0.939373 0.342896i \(-0.888592\pi\)
0.961518 + 0.274741i \(0.0885921\pi\)
\(740\) 4.20725 + 40.0293i 0.154662 + 1.47151i
\(741\) −10.7353 1.35750i −0.394371 0.0498691i
\(742\) 1.22162 1.35675i 0.0448471 0.0498077i
\(743\) −18.2423 + 20.2601i −0.669245 + 0.743272i −0.978168 0.207815i \(-0.933365\pi\)
0.308923 + 0.951087i \(0.400032\pi\)
\(744\) 9.34058 + 1.18114i 0.342442 + 0.0433026i
\(745\) −5.71229 54.3488i −0.209282 1.99119i
\(746\) 1.61067 4.95714i 0.0589709 0.181494i
\(747\) −10.4529 + 16.4623i −0.382452 + 0.602325i
\(748\) −17.1270 21.5052i −0.626224 0.786308i
\(749\) −5.65985 + 9.80315i −0.206807 + 0.358199i
\(750\) −2.69692 + 2.32735i −0.0984777 + 0.0849829i
\(751\) 27.6861 + 12.3267i 1.01028 + 0.449806i 0.844041 0.536279i \(-0.180170\pi\)
0.166241 + 0.986085i \(0.446837\pi\)
\(752\) −2.15770 + 20.5292i −0.0786833 + 0.748621i
\(753\) 19.3486 5.83913i 0.705102 0.212790i
\(754\) −3.81664 0.811252i −0.138994 0.0295441i
\(755\) 24.2772 + 17.6384i 0.883539 + 0.641929i
\(756\) −21.7477 34.2964i −0.790956 1.24735i
\(757\) 3.43224 10.5634i 0.124747 0.383931i −0.869108 0.494622i \(-0.835306\pi\)
0.993855 + 0.110691i \(0.0353064\pi\)
\(758\) 4.48528 7.76874i 0.162913 0.282173i
\(759\) −10.7063 + 0.248056i −0.388616 + 0.00900386i
\(760\) −2.45515 4.25244i −0.0890576 0.154252i
\(761\) 32.6124 6.93197i 1.18220 0.251284i 0.425444 0.904985i \(-0.360118\pi\)
0.756753 + 0.653701i \(0.226784\pi\)
\(762\) −1.20600 + 0.101124i −0.0436888 + 0.00366333i
\(763\) 64.5895 28.7571i 2.33830 1.04108i
\(764\) 9.92620 + 30.5497i 0.359117 + 1.10525i
\(765\) 24.5690 25.0770i 0.888296 0.906659i
\(766\) 2.86788 + 2.08364i 0.103621 + 0.0752849i
\(767\) −4.57380 43.5168i −0.165150 1.57130i
\(768\) 3.20600 + 16.8175i 0.115686 + 0.606848i
\(769\) 25.9701 + 44.9815i 0.936504 + 1.62207i 0.771929 + 0.635709i \(0.219292\pi\)
0.164575 + 0.986364i \(0.447375\pi\)
\(770\) −8.05570 6.63254i −0.290307 0.239020i
\(771\) −31.4578 + 17.2891i −1.13293 + 0.622653i
\(772\) 28.2953 + 31.4252i 1.01837 + 1.13102i
\(773\) 6.24784 4.53932i 0.224719 0.163268i −0.469729 0.882811i \(-0.655648\pi\)
0.694448 + 0.719542i \(0.255648\pi\)
\(774\) 0.123292 0.833537i 0.00443163 0.0299609i
\(775\) −3.51343 10.8132i −0.126206 0.388423i
\(776\) −8.10199 1.72213i −0.290844 0.0618209i
\(777\) 21.1674 + 50.3723i 0.759377 + 1.80710i
\(778\) 1.90675 + 0.848939i 0.0683602 + 0.0304359i
\(779\) 10.9050 2.31793i 0.390713 0.0830486i
\(780\) −0.730173 + 34.6580i −0.0261444 + 1.24096i
\(781\) 13.5737 13.3548i 0.485706 0.477871i
\(782\) 2.29655 0.0821244
\(783\) −14.4741 + 11.4635i −0.517260 + 0.409670i
\(784\) −27.3060 + 19.8390i −0.975215 + 0.708535i
\(785\) 0.823492 0.366642i 0.0293917 0.0130860i
\(786\) 1.89007 0.570398i 0.0674167 0.0203454i
\(787\) −13.1861 + 14.6446i −0.470034 + 0.522025i −0.930816 0.365488i \(-0.880902\pi\)
0.460782 + 0.887513i \(0.347569\pi\)
\(788\) 3.65510 34.7759i 0.130207 1.23884i
\(789\) −15.6814 + 1.31490i −0.558274 + 0.0468116i
\(790\) −2.21211 2.45680i −0.0787034 0.0874089i
\(791\) −3.84382 −0.136670
\(792\) −8.24670 + 7.45678i −0.293034 + 0.264965i
\(793\) −33.1470 −1.17709
\(794\) 6.52707 + 7.24904i 0.231637 + 0.257259i
\(795\) −3.14071 + 6.67225i −0.111389 + 0.236640i
\(796\) −5.03316 + 47.8873i −0.178395 + 1.69732i
\(797\) 9.38507 10.4232i 0.332436 0.369208i −0.553633 0.832761i \(-0.686759\pi\)
0.886069 + 0.463553i \(0.153426\pi\)
\(798\) −2.37887 2.23445i −0.0842111 0.0790986i
\(799\) −23.1527 + 10.3083i −0.819085 + 0.364680i
\(800\) −6.12297 + 4.44860i −0.216480 + 0.157282i
\(801\) −9.69217 + 26.0422i −0.342456 + 0.920156i
\(802\) 2.13170 0.0752731
\(803\) −2.20723 + 13.2384i −0.0778914 + 0.467173i
\(804\) 4.94737 + 2.99705i 0.174480 + 0.105698i
\(805\) −20.1197 + 4.27657i −0.709126 + 0.150729i
\(806\) −4.87996 2.17270i −0.171889 0.0765300i
\(807\) −8.31741 + 10.9550i −0.292787 + 0.385635i
\(808\) −14.9932 3.18690i −0.527459 0.112115i
\(809\) −6.46767 19.9055i −0.227391 0.699839i −0.998040 0.0625783i \(-0.980068\pi\)
0.770649 0.637260i \(-0.219932\pi\)
\(810\) −5.26007 4.54481i −0.184820 0.159688i
\(811\) −1.57186 + 1.14203i −0.0551956 + 0.0401019i −0.615041 0.788495i \(-0.710861\pi\)
0.559845 + 0.828597i \(0.310861\pi\)
\(812\) 18.5825 + 20.6379i 0.652117 + 0.724249i
\(813\) 0.135848 6.44810i 0.00476440 0.226145i
\(814\) 6.17482 3.93897i 0.216427 0.138061i
\(815\) −18.0646 31.2888i −0.632775 1.09600i
\(816\) −19.9339 + 17.2023i −0.697826 + 0.602200i
\(817\) 0.167031 + 1.58919i 0.00584367 + 0.0555988i
\(818\) −0.556008 0.403964i −0.0194404 0.0141243i
\(819\) 12.6441 + 45.3282i 0.441819 + 1.58390i
\(820\) −11.0369 33.9680i −0.385424 1.18621i
\(821\) 9.90445 4.40974i 0.345668 0.153901i −0.226557 0.973998i \(-0.572747\pi\)
0.572225 + 0.820097i \(0.306080\pi\)
\(822\) 0.229117 0.486746i 0.00799138 0.0169772i
\(823\) −46.6261 + 9.91069i −1.62529 + 0.345465i −0.928361 0.371680i \(-0.878782\pi\)
−0.696924 + 0.717145i \(0.745449\pi\)
\(824\) 2.83556 + 4.91134i 0.0987815 + 0.171094i
\(825\) 12.3888 + 5.17544i 0.431324 + 0.180186i
\(826\) 6.59880 11.4295i 0.229601 0.397681i
\(827\) 11.5619 35.5838i 0.402046 1.23737i −0.521291 0.853379i \(-0.674549\pi\)
0.923337 0.383991i \(-0.125451\pi\)
\(828\) 0.671196 + 10.7097i 0.0233257 + 0.372186i
\(829\) −8.66207 6.29336i −0.300846 0.218578i 0.427113 0.904198i \(-0.359531\pi\)
−0.727959 + 0.685621i \(0.759531\pi\)
\(830\) 4.91097 + 1.04386i 0.170462 + 0.0362329i
\(831\) 1.54356 6.57741i 0.0535454 0.228168i
\(832\) 2.46115 23.4163i 0.0853252 0.811815i
\(833\) −37.8570 16.8550i −1.31167 0.583992i
\(834\) −1.34553 0.468745i −0.0465919 0.0162313i
\(835\) 25.6181 44.3718i 0.886549 1.53555i
\(836\) 5.69284 8.61209i 0.196891 0.297856i
\(837\) −22.6451 + 11.2309i −0.782730 + 0.388197i
\(838\) −0.987051 + 3.03783i −0.0340971 + 0.104940i
\(839\) −1.60571 15.2774i −0.0554354 0.527433i −0.986638 0.162930i \(-0.947906\pi\)
0.931202 0.364503i \(-0.118761\pi\)
\(840\) −12.9130 + 17.0079i −0.445539 + 0.586829i
\(841\) −10.9562 + 12.1681i −0.377799 + 0.419588i
\(842\) −1.31746 + 1.46319i −0.0454026 + 0.0504247i
\(843\) −0.0265872 0.0632699i −0.000915713 0.00217913i
\(844\) 1.65862 + 15.7807i 0.0570920 + 0.543194i
\(845\) 1.53168 4.71402i 0.0526913 0.162167i
\(846\) 2.32390 + 4.44783i 0.0798974 + 0.152920i
\(847\) 10.0272 43.6703i 0.344539 1.50053i
\(848\) 2.76543 4.78987i 0.0949654 0.164485i
\(849\) 2.07384 + 10.8786i 0.0711740 + 0.373353i
\(850\) −2.63032 1.17109i −0.0902192 0.0401682i
\(851\) 1.50913 14.3585i 0.0517325 0.492201i
\(852\) −13.9072 13.0629i −0.476453 0.447528i
\(853\) −40.5581 8.62090i −1.38868 0.295174i −0.547900 0.836544i \(-0.684573\pi\)
−0.840785 + 0.541370i \(0.817906\pi\)
\(854\) −8.08825 5.87646i −0.276774 0.201088i
\(855\) 11.8068 + 5.86452i 0.403785 + 0.200562i
\(856\) 0.959576 2.95327i 0.0327976 0.100941i
\(857\) −9.20273 + 15.9396i −0.314359 + 0.544486i −0.979301 0.202409i \(-0.935123\pi\)
0.664942 + 0.746895i \(0.268456\pi\)
\(858\) 5.70173 2.69852i 0.194654 0.0921258i
\(859\) 7.52426 + 13.0324i 0.256725 + 0.444660i 0.965363 0.260912i \(-0.0840233\pi\)
−0.708638 + 0.705572i \(0.750690\pi\)
\(860\) 5.00735 1.06435i 0.170749 0.0362939i
\(861\) −27.6660 39.8164i −0.942853 1.35694i
\(862\) −7.60142 + 3.38437i −0.258905 + 0.115272i
\(863\) −4.45906 13.7236i −0.151788 0.467155i 0.846033 0.533130i \(-0.178984\pi\)
−0.997821 + 0.0659746i \(0.978984\pi\)
\(864\) 11.7682 + 12.0261i 0.400364 + 0.409135i
\(865\) 3.31799 + 2.41066i 0.112815 + 0.0819649i
\(866\) 1.08900 + 10.3611i 0.0370056 + 0.352084i
\(867\) −2.72198 0.948263i −0.0924433 0.0322047i
\(868\) 19.0095 + 32.9255i 0.645225 + 1.11756i
\(869\) 5.19484 13.2110i 0.176223 0.448152i
\(870\) 4.06588 + 2.46306i 0.137846 + 0.0835054i
\(871\) −4.48507 4.98118i −0.151971 0.168781i
\(872\) −15.6910 + 11.4002i −0.531365 + 0.386059i
\(873\) 20.6784 8.18137i 0.699857 0.276898i
\(874\) 0.266492 + 0.820177i 0.00901421 + 0.0277429i
\(875\) −28.7378 6.10840i −0.971514 0.206502i
\(876\) 13.3418 + 1.68710i 0.450777 + 0.0570017i
\(877\) −21.9939 9.79233i −0.742683 0.330664i 0.000276873 1.00000i \(-0.499912\pi\)
−0.742960 + 0.669336i \(0.766579\pi\)
\(878\) 5.99601 1.27449i 0.202356 0.0430120i
\(879\) 35.5303 19.5274i 1.19841 0.658642i
\(880\) −28.0489 14.5801i −0.945527 0.491494i
\(881\) −10.0956 −0.340129 −0.170064 0.985433i \(-0.554398\pi\)
−0.170064 + 0.985433i \(0.554398\pi\)
\(882\) −2.86206 + 7.69016i −0.0963706 + 0.258941i
\(883\) −41.0332 + 29.8124i −1.38088 + 1.00327i −0.384079 + 0.923300i \(0.625481\pi\)
−0.996798 + 0.0799659i \(0.974519\pi\)
\(884\) 29.1614 12.9835i 0.980803 0.436682i
\(885\) −12.1794 + 51.8991i −0.409407 + 1.74457i
\(886\) −6.38136 + 7.08721i −0.214386 + 0.238100i
\(887\) 0.268921 2.55861i 0.00902949 0.0859099i −0.989079 0.147386i \(-0.952914\pi\)
0.998109 + 0.0614760i \(0.0195808\pi\)
\(888\) −8.55279 12.3090i −0.287013 0.413064i
\(889\) −6.67880 7.41756i −0.224000 0.248777i
\(890\) 7.15422 0.239810
\(891\) 7.36956 28.9256i 0.246889 0.969044i
\(892\) 14.1064 0.472316
\(893\) −6.36808 7.07247i −0.213100 0.236671i
\(894\) 5.68570 + 8.18276i 0.190158 + 0.273672i
\(895\) −3.73440 + 35.5304i −0.124827 + 1.18765i
\(896\) 22.4038 24.8820i 0.748460 0.831249i
\(897\) 2.84090 12.1057i 0.0948549 0.404196i
\(898\) 10.2983 4.58508i 0.343658 0.153006i
\(899\) 13.9843 10.1602i 0.466403 0.338862i
\(900\) 4.69250 12.6084i 0.156417 0.420280i
\(901\) 6.79061 0.226228
\(902\) −4.63284 + 4.55811i −0.154257 + 0.151768i
\(903\) 6.09015 3.34713i 0.202668 0.111386i
\(904\) 1.03140 0.219232i 0.0343040 0.00729154i
\(905\) 6.92585 + 3.08359i 0.230223 + 0.102502i
\(906\) −5.42828 0.686418i −0.180342 0.0228047i
\(907\) −10.0699 2.14042i −0.334366 0.0710716i 0.0376696 0.999290i \(-0.488007\pi\)
−0.372035 + 0.928219i \(0.621340\pi\)
\(908\) 11.2304 + 34.5636i 0.372693 + 1.14703i
\(909\) 38.2666 15.1401i 1.26922 0.502166i
\(910\) 9.80197 7.12155i 0.324932 0.236077i
\(911\) −10.4401 11.5950i −0.345897 0.384158i 0.544944 0.838472i \(-0.316551\pi\)
−0.890841 + 0.454315i \(0.849884\pi\)
\(912\) −8.45665 5.12293i −0.280028 0.169637i
\(913\) 5.41031 + 20.8688i 0.179055 + 0.690655i
\(914\) −5.34829 9.26351i −0.176906 0.306410i
\(915\) 38.1355 + 13.2854i 1.26072 + 0.439201i
\(916\) −1.57627 14.9972i −0.0520815 0.495523i
\(917\) 13.1729 + 9.57070i 0.435009 + 0.316052i
\(918\) −1.72363 + 6.16471i −0.0568882 + 0.203466i
\(919\) 3.46483 + 10.6637i 0.114294 + 0.351761i 0.991799 0.127806i \(-0.0407935\pi\)
−0.877505 + 0.479568i \(0.840794\pi\)
\(920\) 5.15477 2.29505i 0.169948 0.0756655i
\(921\) 28.8093 + 41.4619i 0.949300 + 1.36622i
\(922\) −5.40131 + 1.14808i −0.177883 + 0.0378102i
\(923\) 11.0549 + 19.1476i 0.363875 + 0.630251i
\(924\) −44.1198 8.31479i −1.45143 0.273536i
\(925\) −9.05036 + 15.6757i −0.297574 + 0.515413i
\(926\) −1.26440 + 3.89141i −0.0415506 + 0.127880i
\(927\) −13.6362 6.77320i −0.447873 0.222461i
\(928\) −9.30886 6.76328i −0.305578 0.222016i
\(929\) −23.0134 4.89164i −0.755044 0.160490i −0.185720 0.982603i \(-0.559462\pi\)
−0.569324 + 0.822113i \(0.692795\pi\)
\(930\) 4.74355 + 4.45557i 0.155547 + 0.146104i
\(931\) 1.62658 15.4759i 0.0533091 0.507202i
\(932\) 11.5149 + 5.12678i 0.377185 + 0.167933i
\(933\) −6.39152 33.5275i −0.209249 1.09764i
\(934\) 3.18239 5.51206i 0.104131 0.180360i
\(935\) −1.71609 38.7741i −0.0561221 1.26805i
\(936\) −5.97805 11.4417i −0.195399 0.373983i
\(937\) 5.76486 17.7424i 0.188330 0.579619i −0.811660 0.584130i \(-0.801436\pi\)
0.999990 + 0.00451068i \(0.00143580\pi\)
\(938\) −0.211322 2.01060i −0.00689992 0.0656483i
\(939\) −0.898056 2.13711i −0.0293069 0.0697420i
\(940\) −20.4009 + 22.6575i −0.665405 + 0.739007i
\(941\) −21.7418 + 24.1467i −0.708763 + 0.787161i −0.984745 0.174002i \(-0.944330\pi\)
0.275982 + 0.961163i \(0.410997\pi\)
\(942\) −0.0993873 + 0.130905i −0.00323821 + 0.00426512i
\(943\) 1.33914 + 12.7411i 0.0436085 + 0.414908i
\(944\) 12.3551 38.0250i 0.402123 1.23761i
\(945\) 3.62066 57.2177i 0.117780 1.86129i
\(946\) −0.580329 0.728681i −0.0188681 0.0236915i
\(947\) 1.92137 3.32790i 0.0624360 0.108142i −0.833118 0.553096i \(-0.813446\pi\)
0.895554 + 0.444953i \(0.146780\pi\)
\(948\) −13.4323 4.67945i −0.436262 0.151981i
\(949\) −14.2361 6.33833i −0.462124 0.205751i
\(950\) 0.113016 1.07527i 0.00366671 0.0348864i
\(951\) −1.58323 + 6.74646i −0.0513397 + 0.218769i
\(952\) 19.2340 + 4.08832i 0.623379 + 0.132503i
\(953\) −15.4434 11.2203i −0.500262 0.363461i 0.308855 0.951109i \(-0.400054\pi\)
−0.809117 + 0.587648i \(0.800054\pi\)
\(954\) −0.0841044 1.34198i −0.00272298 0.0434481i
\(955\) −14.0134 + 43.1289i −0.453464 + 1.39562i
\(956\) −24.5077 + 42.4486i −0.792636 + 1.37289i
\(957\) −1.66289 + 20.3446i −0.0537535 + 0.657646i
\(958\) 3.31651 + 5.74436i 0.107152 + 0.185592i
\(959\) 4.33995 0.922485i 0.140144 0.0297886i
\(960\) −12.2168 + 25.9540i −0.394297 + 0.837660i
\(961\) −6.70155 + 2.98372i −0.216179 + 0.0962492i
\(962\) 2.62793 + 8.08795i 0.0847280 + 0.260766i
\(963\) 2.24003 + 8.03036i 0.0721838 + 0.258775i
\(964\) −4.62879 3.36302i −0.149083 0.108315i
\(965\) 6.24022 + 59.3718i 0.200880 + 1.91124i
\(966\) 2.83936 2.45027i 0.0913549 0.0788362i
\(967\) −13.2813 23.0039i −0.427099 0.739757i 0.569515 0.821981i \(-0.307131\pi\)
−0.996614 + 0.0822239i \(0.973798\pi\)
\(968\) −0.199855 + 12.2899i −0.00642357 + 0.395011i
\(969\) 0.255693 12.1366i 0.00821406 0.389885i
\(970\) −3.83110 4.25487i −0.123009 0.136616i
\(971\) 41.3472 30.0405i 1.32689 0.964045i 0.327076 0.944998i \(-0.393937\pi\)
0.999819 0.0190472i \(-0.00606329\pi\)
\(972\) −29.2521 6.23619i −0.938261 0.200026i
\(973\) −3.63134 11.1761i −0.116415 0.358290i
\(974\) −0.0755312 0.0160547i −0.00242018 0.000514424i
\(975\) −9.42690 + 12.4164i −0.301902 + 0.397642i
\(976\) −27.6691 12.3191i −0.885666 0.394324i
\(977\) 20.7119 4.40244i 0.662631 0.140847i 0.135694 0.990751i \(-0.456674\pi\)
0.526937 + 0.849904i \(0.323340\pi\)
\(978\) 5.63434 + 3.41321i 0.180166 + 0.109142i
\(979\) 13.7236 + 27.4842i 0.438608 + 0.878399i
\(980\) −49.8521 −1.59247
\(981\) 18.1626 48.8016i 0.579887 1.55812i
\(982\) 0.970410 0.705044i 0.0309670 0.0224989i
\(983\) 46.4405 20.6766i 1.48122 0.659482i 0.502481 0.864588i \(-0.332421\pi\)
0.978740 + 0.205106i \(0.0657539\pi\)
\(984\) 9.69448 + 9.10592i 0.309049 + 0.290286i
\(985\) 33.0321 36.6859i 1.05249 1.16891i
\(986\) 0.457559 4.35338i 0.0145716 0.138640i
\(987\) −17.6268 + 37.4472i −0.561069 + 1.19196i
\(988\) 8.02073 + 8.90792i 0.255173 + 0.283399i
\(989\) −1.83625 −0.0583895
\(990\) −7.64139 + 0.819371i −0.242859 + 0.0260413i
\(991\) −13.1480 −0.417662 −0.208831 0.977952i \(-0.566966\pi\)
−0.208831 + 0.977952i \(0.566966\pi\)
\(992\) −10.5404 11.7063i −0.334659 0.371677i
\(993\) −5.48923 + 0.460276i −0.174196 + 0.0146064i
\(994\) −0.697061 + 6.63209i −0.0221094 + 0.210357i
\(995\) −45.4860 + 50.5174i −1.44200 + 1.60151i
\(996\) 20.6806 6.24113i 0.655291 0.197758i
\(997\) −33.9918 + 15.1341i −1.07653 + 0.479303i −0.866902 0.498478i \(-0.833892\pi\)
−0.209629 + 0.977781i \(0.567226\pi\)
\(998\) 3.54437 2.57514i 0.112195 0.0815146i
\(999\) 37.4103 + 14.8275i 1.18361 + 0.469120i
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 99.2.m.b.97.5 yes 72
3.2 odd 2 297.2.n.b.262.5 72
9.2 odd 6 891.2.f.e.163.5 36
9.4 even 3 inner 99.2.m.b.31.5 yes 72
9.5 odd 6 297.2.n.b.64.5 72
9.7 even 3 891.2.f.f.163.5 36
11.4 even 5 1089.2.e.p.727.9 36
11.5 even 5 inner 99.2.m.b.16.5 72
11.7 odd 10 1089.2.e.o.727.10 36
33.5 odd 10 297.2.n.b.181.5 72
99.4 even 15 1089.2.e.p.364.9 36
99.5 odd 30 297.2.n.b.280.5 72
99.7 odd 30 9801.2.a.co.1.9 18
99.16 even 15 891.2.f.f.82.5 36
99.29 even 30 9801.2.a.cn.1.10 18
99.38 odd 30 891.2.f.e.82.5 36
99.40 odd 30 1089.2.e.o.364.10 36
99.49 even 15 inner 99.2.m.b.49.5 yes 72
99.70 even 15 9801.2.a.cm.1.10 18
99.92 odd 30 9801.2.a.cp.1.9 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
99.2.m.b.16.5 72 11.5 even 5 inner
99.2.m.b.31.5 yes 72 9.4 even 3 inner
99.2.m.b.49.5 yes 72 99.49 even 15 inner
99.2.m.b.97.5 yes 72 1.1 even 1 trivial
297.2.n.b.64.5 72 9.5 odd 6
297.2.n.b.181.5 72 33.5 odd 10
297.2.n.b.262.5 72 3.2 odd 2
297.2.n.b.280.5 72 99.5 odd 30
891.2.f.e.82.5 36 99.38 odd 30
891.2.f.e.163.5 36 9.2 odd 6
891.2.f.f.82.5 36 99.16 even 15
891.2.f.f.163.5 36 9.7 even 3
1089.2.e.o.364.10 36 99.40 odd 30
1089.2.e.o.727.10 36 11.7 odd 10
1089.2.e.p.364.9 36 99.4 even 15
1089.2.e.p.727.9 36 11.4 even 5
9801.2.a.cm.1.10 18 99.70 even 15
9801.2.a.cn.1.10 18 99.29 even 30
9801.2.a.co.1.9 18 99.7 odd 30
9801.2.a.cp.1.9 18 99.92 odd 30