Properties

Label 99.2.m.b.49.5
Level $99$
Weight $2$
Character 99.49
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 49.5
Character \(\chi\) \(=\) 99.49
Dual form 99.2.m.b.97.5

$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{1}{3}\right)\)

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 −0.671900 0.740642i \(-0.734522\pi\)
0.806817 + 0.590801i \(0.201188\pi\)
\(3\) 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 0.996607 0.0823107i \(-0.0262300\pi\)
−0.186034 + 0.982543i \(0.559563\pi\)
\(6\) −0.112839 0.480829i −0.0460662 0.196297i
\(7\) −3.72118 1.65677i −1.40647 0.626202i −0.443616 0.896217i \(-0.646305\pi\)
−0.962856 + 0.270015i \(0.912971\pi\)
\(8\) 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 −0.346580 0.938021i \(-0.612657\pi\)
−0.698144 + 0.715958i \(0.745990\pi\)
\(14\) −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 0.648195 + 0.761474i \(0.275524\pi\)
−0.971984 + 0.235046i \(0.924476\pi\)
\(18\) −0.795449 0.314718i −0.187489 0.0741798i
\(19\) 1.31246 + 0.953561i 0.301100 + 0.218762i 0.728068 0.685505i \(-0.240418\pi\)
−0.426968 + 0.904267i \(0.640418\pi\)
\(20\) −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 −0.752331 0.658786i \(-0.771070\pi\)
0.946691 + 0.322145i \(0.104404\pi\)
\(24\) 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 0.685360 0.728205i \(-0.259645\pi\)
−0.0825663 + 0.996586i \(0.526312\pi\)
\(30\) 0.763380 1.09864i 0.139373 0.200584i
\(31\) 4.75829 + 1.01141i 0.854614 + 0.181654i 0.614330 0.789049i \(-0.289426\pi\)
0.240283 + 0.970703i \(0.422760\pi\)
\(32\) −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 −0.968314 0.249734i \(-0.919657\pi\)
−0.0617145 + 0.998094i \(0.519657\pi\)
\(38\) 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 0.147018 0.989134i \(-0.453033\pi\)
0.833444 + 0.552604i \(0.186366\pi\)
\(42\) −0.376732 + 1.97620i −0.0581310 + 0.304934i
\(43\) −0.492496 0.853027i −0.0751049 0.130085i 0.826027 0.563631i \(-0.190596\pi\)
−0.901132 + 0.433545i \(0.857262\pi\)
\(44\) 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 0.854177 + 0.519982i \(0.174061\pi\)
−0.943622 + 0.331026i \(0.892605\pi\)
\(48\) −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 0.912139 0.409881i \(-0.134430\pi\)
−0.978858 + 0.204541i \(0.934430\pi\)
\(54\) −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 −0.746634 0.665235i \(-0.768331\pi\)
0.592008 0.805932i \(-0.298335\pi\)
\(60\) 2.05664 + 8.76376i 0.265511 + 1.13140i
\(61\) 8.41938 1.78960i 1.07799 0.229134i 0.365498 0.930812i \(-0.380899\pi\)
0.712494 + 0.701678i \(0.247566\pi\)
\(62\) 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 −0.807956 0.589243i \(-0.799426\pi\)
0.914277 + 0.405088i \(0.132759\pi\)
\(68\) −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 0.788883 + 0.614543i \(0.210660\pi\)
−0.999439 + 0.0334822i \(0.989340\pi\)
\(72\) 0.900699 3.22896i 0.106148 0.380536i
\(73\) 3.27379 2.37855i 0.383168 0.278388i −0.379482 0.925199i \(-0.623898\pi\)
0.762650 + 0.646811i \(0.223898\pi\)
\(74\) −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 −0.882393 0.470513i \(-0.844069\pi\)
0.560171 + 0.828377i \(0.310736\pi\)
\(80\) −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 0.154717 0.987959i \(-0.450554\pi\)
0.543180 + 0.839616i \(0.317220\pi\)
\(84\) −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 −0.940324 0.340280i \(-0.889478\pi\)
0.436707 + 0.899604i \(0.356145\pi\)
\(98\) 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 0.0865045 + 0.996251i \(0.472430\pi\)
−0.999836 + 0.0181060i \(0.994236\pi\)
\(102\) 2.12625 + 0.178287i 0.210530 + 0.0176531i
\(103\) −0.530508 5.04744i −0.0522725 0.497339i −0.989068 0.147462i \(-0.952890\pi\)
0.936795 0.349878i \(-0.113777\pi\)
\(104\) −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 0.691131 0.722730i \(-0.257113\pi\)
−0.473785 + 0.880640i \(0.657113\pi\)
\(108\) 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 −0.365787 0.930698i \(-0.619200\pi\)
0.446884 + 0.894592i \(0.352534\pi\)
\(114\) 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 −0.911823 0.410583i \(-0.865325\pi\)
0.979015 + 0.203787i \(0.0653251\pi\)
\(128\) −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 −0.940032 0.341087i \(-0.889205\pi\)
0.765406 + 0.643548i \(0.222538\pi\)
\(132\) 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 −0.253200 0.967414i \(-0.581483\pi\)
0.162173 + 0.986762i \(0.448150\pi\)
\(138\) −0.881465 0.266014i −0.0750353 0.0226446i
\(139\) −0.301557 2.86912i −0.0255777 0.243356i −0.999839 0.0179347i \(-0.994291\pi\)
0.974261 0.225421i \(-0.0723758\pi\)
\(140\) 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 0.971425 + 0.237346i \(0.0762774\pi\)
0.134504 + 0.990913i \(0.457056\pi\)
\(150\) 1.14522 0.144816i 0.0935070 0.0118242i
\(151\) 1.15800 11.0177i 0.0942370 0.896605i −0.840631 0.541609i \(-0.817815\pi\)
0.934868 0.354996i \(-0.115518\pi\)
\(152\) 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 −0.394569 0.918866i \(-0.629106\pi\)
0.418832 + 0.908064i \(0.362440\pi\)
\(158\) 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 0.972408 + 0.233285i \(0.0749475\pi\)
−0.649574 + 0.760299i \(0.725053\pi\)
\(164\) 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 0.857541 0.514415i \(-0.171991\pi\)
0.574172 + 0.818735i \(0.305324\pi\)
\(168\) −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 −0.986857 0.161597i \(-0.948336\pi\)
0.998890 + 0.0471135i \(0.0150022\pi\)
\(174\) 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 0.112653 0.993634i \(-0.464065\pi\)
−0.910191 + 0.414190i \(0.864065\pi\)
\(180\) 14.4981 + 5.73617i 1.08063 + 0.427549i
\(181\) 0.864886 2.66185i 0.0642865 0.197853i −0.913754 0.406267i \(-0.866830\pi\)
0.978041 + 0.208414i \(0.0668301\pi\)
\(182\) 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 −0.229682 0.973266i \(-0.573769\pi\)
−0.876965 + 0.480555i \(0.840435\pi\)
\(192\) −10.1384 3.05962i −0.731675 0.220809i
\(193\) −14.7472 16.3784i −1.06153 1.17895i −0.983296 0.182011i \(-0.941739\pi\)
−0.0782316 0.996935i \(-0.524927\pi\)
\(194\) 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 −0.0791356 0.996864i \(-0.525216\pi\)
−0.477755 + 0.878493i \(0.658549\pi\)
\(212\) 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 −0.938187 0.346129i \(-0.887496\pi\)
0.989650 0.143506i \(-0.0458375\pi\)
\(224\) 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 −0.257906 0.966170i \(-0.583032\pi\)
−0.890577 + 0.454832i \(0.849699\pi\)
\(228\) 2.29610 + 4.87793i 0.152063 + 0.323049i
\(229\) 7.68770 + 1.63407i 0.508017 + 0.107982i 0.454788 0.890600i \(-0.349715\pi\)
0.0532297 + 0.998582i \(0.483048\pi\)
\(230\) 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 0.862279 0.506434i \(-0.169037\pi\)
−0.995273 + 0.0971212i \(0.969037\pi\)
\(234\) 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 −0.983925 0.178580i \(-0.942850\pi\)
−0.525664 + 0.850692i \(0.676183\pi\)
\(240\) −15.5899 + 5.43108i −1.00632 + 0.350575i
\(241\) 1.49099 + 2.58247i 0.0960432 + 0.166352i 0.910044 0.414513i \(-0.136048\pi\)
−0.814000 + 0.580864i \(0.802715\pi\)
\(242\) −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 0.998018 + 0.0629308i \(0.0200447\pi\)
−0.770424 + 0.637532i \(0.779955\pi\)
\(252\) −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 −0.826402 0.563080i \(-0.809616\pi\)
0.691273 0.722594i \(-0.257050\pi\)
\(258\) −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 0.691297 0.722571i \(-0.257040\pi\)
−0.971413 + 0.237395i \(0.923706\pi\)
\(264\) 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 −0.847954 0.530070i \(-0.822166\pi\)
0.997576 + 0.0695792i \(0.0221656\pi\)
\(270\) −3.88773 0.996698i −0.236600 0.0606571i
\(271\) −3.01249 + 2.18870i −0.182995 + 0.132954i −0.675512 0.737349i \(-0.736077\pi\)
0.492516 + 0.870303i \(0.336077\pi\)
\(272\) 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 −0.816436 0.577436i \(-0.804053\pi\)
0.659614 + 0.751605i \(0.270720\pi\)
\(278\) −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 −0.209068 0.977901i \(-0.567043\pi\)
0.206756 + 0.978393i \(0.433710\pi\)
\(282\) 2.87445 0.363480i 0.171171 0.0216449i
\(283\) 5.84109 2.60062i 0.347217 0.154591i −0.225716 0.974193i \(-0.572472\pi\)
0.572933 + 0.819602i \(0.305806\pi\)
\(284\) −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 0.797200 + 0.603715i \(0.206314\pi\)
−0.654260 + 0.756270i \(0.727020\pi\)
\(294\) 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 −0.847736 0.530418i \(-0.822035\pi\)
−0.173068 + 0.984910i \(0.555368\pi\)
\(312\) −7.39429 + 0.935024i −0.418619 + 0.0529353i
\(313\) −1.30913 + 0.278264i −0.0739964 + 0.0157284i −0.244761 0.969583i \(-0.578710\pi\)
0.170765 + 0.985312i \(0.445376\pi\)
\(314\) 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 −0.663258 0.748391i \(-0.730827\pi\)
0.813620 + 0.581397i \(0.197494\pi\)
\(318\) −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 0.819009 0.573780i \(-0.194524\pi\)
−0.906413 + 0.422393i \(0.861190\pi\)
\(332\) 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 0.915575 + 0.402148i \(0.131736\pi\)
−0.811956 + 0.583719i \(0.801597\pi\)
\(338\) 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 −0.995599 0.0937200i \(-0.970124\pi\)
0.0108618 0.999941i \(-0.496543\pi\)
\(348\) 7.14068 + 9.40514i 0.382781 + 0.504168i
\(349\) −2.39428 + 22.7800i −0.128163 + 1.21939i 0.721633 + 0.692276i \(0.243392\pi\)
−0.849796 + 0.527112i \(0.823275\pi\)
\(350\) −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 0.925651 + 0.378379i \(0.123518\pi\)
−0.135140 + 0.990827i \(0.543148\pi\)
\(354\) −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 0.650299 0.759678i \(-0.274644\pi\)
0.923450 0.383718i \(-0.125356\pi\)
\(360\) 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 −0.283270 0.959040i \(-0.591419\pi\)
−0.902251 + 0.431212i \(0.858086\pi\)
\(368\) −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 −0.999530 0.0306440i \(-0.990244\pi\)
0.526304 + 0.850297i \(0.323578\pi\)
\(374\) 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 0.310697 + 0.950509i \(0.399438\pi\)
−0.810054 + 0.586355i \(0.800562\pi\)
\(380\) −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 0.507822 0.861462i \(-0.330451\pi\)
0.113530 + 0.993535i \(0.463784\pi\)
\(384\) −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 0.569191 0.822205i \(-0.307256\pi\)
−0.230154 + 0.973154i \(0.573923\pi\)
\(390\) −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 0.854984 0.518654i \(-0.173567\pi\)
−0.605183 + 0.796086i \(0.706900\pi\)
\(402\) −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 0.149256 0.988799i \(-0.452312\pi\)
−0.265828 + 0.964020i \(0.585645\pi\)
\(410\) 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 −0.696165 0.717881i \(-0.745112\pi\)
0.969786 + 0.243956i \(0.0784453\pi\)
\(420\) 6.86646 36.0189i 0.335049 1.75754i
\(421\) 0.721755 6.86704i 0.0351762 0.334679i −0.962754 0.270378i \(-0.912851\pi\)
0.997931 0.0643013i \(-0.0204819\pi\)
\(422\) −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 −0.893754 0.448558i \(-0.851938\pi\)
0.459406 0.888226i \(-0.348062\pi\)
\(432\) 18.2682 + 0.759031i 0.878930 + 0.0365189i
\(433\) 29.5582 21.4753i 1.42048 1.03204i 0.428785 0.903407i \(-0.358942\pi\)
0.991693 0.128630i \(-0.0410581\pi\)
\(434\) −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 0.999886 + 0.0150869i \(0.00480250\pi\)
−0.486877 + 0.873470i \(0.661864\pi\)
\(440\) 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 −0.520876 0.853633i \(-0.674395\pi\)
0.686974 0.726682i \(-0.258939\pi\)
\(444\) −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 0.630908 + 0.775858i \(0.282682\pi\)
−0.0543777 + 0.998520i \(0.517318\pi\)
\(450\) 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 −0.957960 0.286901i \(-0.907375\pi\)
−0.758447 + 0.651735i \(0.774041\pi\)
\(458\) 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 0.547480 0.836818i \(-0.315587\pi\)
−0.998446 + 0.0557228i \(0.982254\pi\)
\(462\) 5.30574 + 4.04588i 0.246846 + 0.188232i
\(463\) 7.17464 12.4268i 0.333434 0.577524i −0.649749 0.760149i \(-0.725126\pi\)
0.983183 + 0.182625i \(0.0584594\pi\)
\(464\) −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 0.654819 + 0.755786i \(0.272745\pi\)
−0.973999 + 0.226551i \(0.927255\pi\)
\(468\) −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 0.343690 0.939083i \(-0.388323\pi\)
0.695936 + 0.718104i \(0.254990\pi\)
\(480\) −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 0.582810 0.812608i \(-0.301953\pi\)
−0.592738 + 0.805395i \(0.701953\pi\)
\(488\) 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 0.999953 0.00965687i \(-0.00307392\pi\)
−0.980110 + 0.198456i \(0.936407\pi\)
\(492\) 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 0.969810 + 0.243862i \(0.0784144\pi\)
−0.897916 + 0.440168i \(0.854919\pi\)
\(500\) 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 0.514917 0.857240i \(-0.327823\pi\)
−0.656165 + 0.754617i \(0.727823\pi\)
\(504\) −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 0.263043 0.964784i \(-0.415274\pi\)
0.892984 + 0.450088i \(0.148607\pi\)
\(510\) 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 −0.305335 0.952245i \(-0.598768\pi\)
0.811285 + 0.584651i \(0.198768\pi\)
\(522\) −2.12729 2.17126i −0.0931088 0.0950336i
\(523\) −10.2462 + 31.5345i −0.448034 + 1.37891i 0.431088 + 0.902310i \(0.358130\pi\)
−0.879122 + 0.476597i \(0.841870\pi\)
\(524\) −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 −0.941348 0.337437i \(-0.890440\pi\)
0.563226 0.826303i \(-0.309560\pi\)
\(542\) −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 −0.680779 0.732489i \(-0.738359\pi\)
0.818195 0.574940i \(-0.194975\pi\)
\(548\) −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 −0.455698 0.890135i \(-0.650610\pi\)
0.705750 + 0.708461i \(0.250610\pi\)
\(558\) −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 0.886335 0.463045i \(-0.153243\pi\)
0.621369 + 0.783518i \(0.286577\pi\)
\(564\) −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 −0.994849 0.101370i \(-0.967677\pi\)
0.994185 + 0.107686i \(0.0343441\pi\)
\(570\) 2.04953 0.714000i 0.0858454 0.0299062i
\(571\) −21.6127 + 37.4343i −0.904463 + 1.56658i −0.0828262 + 0.996564i \(0.526395\pi\)
−0.821637 + 0.570012i \(0.806939\pi\)
\(572\) −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 −0.569011 0.822330i \(-0.692674\pi\)
0.943693 0.330822i \(-0.107326\pi\)
\(578\) −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 −0.0684998 0.997651i \(-0.521821\pi\)
−0.787235 + 0.616654i \(0.788488\pi\)
\(588\) 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 0.547618 0.836728i \(-0.315535\pi\)
−0.889386 + 0.457156i \(0.848868\pi\)
\(600\) 1.03348 + 4.40387i 0.0421916 + 0.179787i
\(601\) 20.5354 + 9.14296i 0.837658 + 0.372949i 0.780301 0.625405i \(-0.215066\pi\)
0.0573569 + 0.998354i \(0.481733\pi\)
\(602\) 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 −0.355383 0.934721i \(-0.615649\pi\)
−0.704843 + 0.709363i \(0.748983\pi\)
\(608\) −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 0.991623 + 0.129163i \(0.0412289\pi\)
0.429269 + 0.903176i \(0.358771\pi\)
\(614\) 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 0.0610871 + 0.998132i \(0.480543\pi\)
−0.894952 + 0.446163i \(0.852790\pi\)
\(618\) −2.36709 + 0.824630i −0.0952185 + 0.0331715i
\(619\) −0.931532 + 8.86293i −0.0374414 + 0.356231i 0.959721 + 0.280954i \(0.0906508\pi\)
−0.997163 + 0.0752773i \(0.976016\pi\)
\(620\) −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 −0.492716 0.870190i \(-0.663996\pi\)
0.675342 + 0.737504i \(0.263996\pi\)
\(632\) −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 0.788222 + 0.615390i \(0.211002\pi\)
−0.898945 + 0.438062i \(0.855665\pi\)
\(642\) 0.531717 1.26533i 0.0209852 0.0499387i
\(643\) 9.46047 + 10.5069i 0.373085 + 0.414352i 0.900224 0.435426i \(-0.143402\pi\)
−0.527140 + 0.849779i \(0.676736\pi\)
\(644\) −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 0.943019 0.332738i \(-0.107973\pi\)
−0.958497 + 0.285102i \(0.907973\pi\)
\(648\) −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 0.999949 0.0101049i \(-0.00321654\pi\)
−0.980199 + 0.198017i \(0.936550\pi\)
\(654\) 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 0.997042 0.0768574i \(-0.0244886\pi\)
−0.565082 + 0.825035i \(0.691155\pi\)
\(660\) 29.0517 + 6.88213i 1.13084 + 0.267887i
\(661\) 13.6987 23.7269i 0.532820 0.922871i −0.466446 0.884550i \(-0.654466\pi\)
0.999265 0.0383209i \(-0.0122009\pi\)
\(662\) −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 −0.0908659 0.995863i \(-0.528963\pi\)
0.999906 0.0137279i \(-0.00436986\pi\)
\(674\) 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 0.717298 0.696767i \(-0.245379\pi\)
0.938685 + 0.344777i \(0.112045\pi\)
\(678\) −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 −0.841206 0.540715i \(-0.818154\pi\)
0.625682 + 0.780078i \(0.284821\pi\)
\(692\) 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 −0.999730 0.0232503i \(-0.992599\pi\)
−0.331046 0.943615i \(-0.607401\pi\)
\(702\) 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 −0.0958693 0.995394i \(-0.530563\pi\)
0.317282 + 0.948331i \(0.397230\pi\)
\(710\) −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 −0.996027 0.0890560i \(-0.971615\pi\)
−0.223092 + 0.974797i \(0.571615\pi\)
\(720\) −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 0.638588 0.769549i \(-0.279519\pi\)
−0.985743 + 0.168259i \(0.946185\pi\)
\(728\) 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 0.993379 0.114885i \(-0.0366500\pi\)
−0.995557 + 0.0941604i \(0.969983\pi\)
\(734\) −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 0.961518 0.274741i \(-0.0885921\pi\)
−0.939373 + 0.342896i \(0.888592\pi\)
\(740\) 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 0.308923 0.951087i \(-0.400032\pi\)
−0.978168 + 0.207815i \(0.933365\pi\)
\(744\) 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 0.166241 0.986085i \(-0.446837\pi\)
0.844041 + 0.536279i \(0.180170\pi\)
\(752\) −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 0.993855 0.110691i \(-0.0353064\pi\)
−0.869108 + 0.494622i \(0.835306\pi\)
\(758\) 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 0.756753 0.653701i \(-0.226784\pi\)
0.425444 + 0.904985i \(0.360118\pi\)
\(762\) −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 0.164575 0.986364i \(-0.447375\pi\)
0.771929 0.635709i \(-0.219292\pi\)
\(770\) −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 0.694448 0.719542i \(-0.255648\pi\)
−0.469729 + 0.882811i \(0.655648\pi\)
\(774\) 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 0.460782 0.887513i \(-0.347569\pi\)
−0.930816 + 0.365488i \(0.880902\pi\)
\(788\) 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 0.886069 0.463553i \(-0.153426\pi\)
−0.553633 + 0.832761i \(0.686759\pi\)
\(798\) −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 0.770649 + 0.637260i \(0.219932\pi\)
−0.998040 + 0.0625783i \(0.980068\pi\)
\(810\) −5.26007 + 4.54481i −0.184820 + 0.159688i
\(811\) −1.57186 1.14203i −0.0551956 0.0401019i 0.559845 0.828597i \(-0.310861\pi\)
−0.615041 + 0.788495i \(0.710861\pi\)
\(812\) 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 0.572225 0.820097i \(-0.306080\pi\)
−0.226557 + 0.973998i \(0.572747\pi\)
\(822\) 0.229117 + 0.486746i 0.00799138 + 0.0169772i
\(823\) −46.6261 9.91069i −1.62529 0.345465i −0.696924 0.717145i \(-0.745449\pi\)
−0.928361 + 0.371680i \(0.878782\pi\)
\(824\) 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 0.923337 + 0.383991i \(0.125451\pi\)
−0.521291 + 0.853379i \(0.674549\pi\)
\(828\) 0.671196 10.7097i 0.0233257 0.372186i
\(829\) −8.66207 + 6.29336i −0.300846 + 0.218578i −0.727959 0.685621i \(-0.759531\pi\)
0.427113 + 0.904198i \(0.359531\pi\)
\(830\) 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 0.931202 + 0.364503i \(0.118761\pi\)
−0.986638 + 0.162930i \(0.947906\pi\)
\(840\) −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 −0.840785 0.541370i \(-0.817906\pi\)
−0.547900 + 0.836544i \(0.684573\pi\)
\(854\) −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 0.664942 0.746895i \(-0.268456\pi\)
−0.979301 + 0.202409i \(0.935123\pi\)
\(858\) 5.70173 + 2.69852i 0.194654 + 0.0921258i
\(859\) 7.52426 13.0324i 0.256725 0.444660i −0.708638 0.705572i \(-0.750690\pi\)
0.965363 + 0.260912i \(0.0840233\pi\)
\(860\) 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 −0.997821 0.0659746i \(-0.978984\pi\)
0.846033 + 0.533130i \(0.178984\pi\)
\(864\) 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 −0.742960 0.669336i \(-0.766579\pi\)
0.000276873 1.00000i \(0.499912\pi\)
\(878\) 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 −0.996798 0.0799659i \(-0.974519\pi\)
−0.384079 0.923300i \(-0.625481\pi\)
\(884\) 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 0.998109 0.0614760i \(-0.0195808\pi\)
−0.989079 + 0.147386i \(0.952914\pi\)
\(888\) −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 −0.372035 0.928219i \(-0.621340\pi\)
0.0376696 + 0.999290i \(0.488007\pi\)
\(908\) 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 −0.890841 0.454315i \(-0.849884\pi\)
0.544944 + 0.838472i \(0.316551\pi\)
\(912\) −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 −0.877505 0.479568i \(-0.840794\pi\)
0.991799 + 0.127806i \(0.0407935\pi\)
\(920\) 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 −0.569324 0.822113i \(-0.692795\pi\)
−0.185720 + 0.982603i \(0.559462\pi\)
\(930\) 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 0.999990 0.00451068i \(-0.00143580\pi\)
−0.811660 + 0.584130i \(0.801436\pi\)
\(938\) −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 0.275982 0.961163i \(-0.410997\pi\)
−0.984745 + 0.174002i \(0.944330\pi\)
\(942\) −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 0.895554 0.444953i \(-0.146780\pi\)
−0.833118 + 0.553096i \(0.813446\pi\)
\(948\) −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 −0.809117 0.587648i \(-0.800054\pi\)
0.308855 + 0.951109i \(0.400054\pi\)
\(954\) −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 −0.996614 0.0822239i \(-0.973798\pi\)
0.569515 + 0.821981i \(0.307131\pi\)
\(968\) −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 0.999819 + 0.0190472i \(0.00606329\pi\)
0.327076 + 0.944998i \(0.393937\pi\)
\(972\) −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 0.526937 0.849904i \(-0.323340\pi\)
0.135694 + 0.990751i \(0.456674\pi\)
\(978\) 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 0.978740 0.205106i \(-0.0657539\pi\)
0.502481 + 0.864588i \(0.332421\pi\)
\(984\) 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 −0.209629 0.977781i \(-0.567226\pi\)
−0.866902 + 0.498478i \(0.833892\pi\)
\(998\) 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.49.5 yes 72
3.2 odd 2 297.2.n.b.280.5 72
9.2 odd 6 297.2.n.b.181.5 72
9.4 even 3 891.2.f.f.82.5 36
9.5 odd 6 891.2.f.e.82.5 36
9.7 even 3 inner 99.2.m.b.16.5 72
11.3 even 5 1089.2.e.p.364.9 36
11.8 odd 10 1089.2.e.o.364.10 36
11.9 even 5 inner 99.2.m.b.31.5 yes 72
33.20 odd 10 297.2.n.b.64.5 72
99.14 odd 30 9801.2.a.cp.1.9 18
99.20 odd 30 297.2.n.b.262.5 72
99.25 even 15 1089.2.e.p.727.9 36
99.31 even 15 891.2.f.f.163.5 36
99.41 even 30 9801.2.a.cn.1.10 18
99.52 odd 30 1089.2.e.o.727.10 36
99.58 even 15 9801.2.a.cm.1.10 18
99.85 odd 30 9801.2.a.co.1.9 18
99.86 odd 30 891.2.f.e.163.5 36
99.97 even 15 inner 99.2.m.b.97.5 yes 72
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
99.2.m.b.16.5 72 9.7 even 3 inner
99.2.m.b.31.5 yes 72 11.9 even 5 inner
99.2.m.b.49.5 yes 72 1.1 even 1 trivial
99.2.m.b.97.5 yes 72 99.97 even 15 inner
297.2.n.b.64.5 72 33.20 odd 10
297.2.n.b.181.5 72 9.2 odd 6
297.2.n.b.262.5 72 99.20 odd 30
297.2.n.b.280.5 72 3.2 odd 2
891.2.f.e.82.5 36 9.5 odd 6
891.2.f.e.163.5 36 99.86 odd 30
891.2.f.f.82.5 36 9.4 even 3
891.2.f.f.163.5 36 99.31 even 15
1089.2.e.o.364.10 36 11.8 odd 10
1089.2.e.o.727.10 36 99.52 odd 30
1089.2.e.p.364.9 36 11.3 even 5
1089.2.e.p.727.9 36 99.25 even 15
9801.2.a.cm.1.10 18 99.58 even 15
9801.2.a.cn.1.10 18 99.41 even 30
9801.2.a.co.1.9 18 99.85 odd 30
9801.2.a.cp.1.9 18 99.14 odd 30