Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [688,2,Mod(27,688)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(688, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([14, 7, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("688.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 688 = 2^{4} \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 688.bi (of order \(28\), degree \(12\), 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: | \(5.49370765906\) |
Analytic rank: | \(0\) |
Dimension: | \(1032\) |
Relative dimension: | \(86\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 27.9 | ||
Character | \(\chi\) | \(=\) | 688.27 |
Dual form | 688.2.bi.a.51.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/688\mathbb{Z}\right)^\times\).
\(n\) | \(431\) | \(433\) | \(517\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{14}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35485 | + | 0.405438i | −0.958024 | + | 0.286688i | ||||
\(3\) | 0.624444 | + | 0.993797i | 0.360523 | + | 0.573769i | 0.976904 | − | 0.213679i | \(-0.0685447\pi\) |
−0.616381 | + | 0.787448i | \(0.711402\pi\) | |||||||
\(4\) | 1.67124 | − | 1.09861i | 0.835620 | − | 0.549307i | ||||
\(5\) | 0.629114 | + | 0.0708842i | 0.281348 | + | 0.0317004i | 0.251511 | − | 0.967854i | \(-0.419072\pi\) |
0.0298374 | + | 0.999555i | \(0.490501\pi\) | |||||||
\(6\) | −1.24895 | − | 1.09327i | −0.509882 | − | 0.446327i | ||||
\(7\) | − | 3.36367i | − | 1.27135i | −0.771958 | − | 0.635674i | \(-0.780722\pi\) | ||
0.771958 | − | 0.635674i | \(-0.219278\pi\) | |||||||
\(8\) | −1.81886 | + | 2.16604i | −0.643065 | + | 0.765812i | ||||
\(9\) | 0.703949 | − | 1.46176i | 0.234650 | − | 0.487255i | ||||
\(10\) | −0.881095 | + | 0.159029i | −0.278627 | + | 0.0502894i | ||||
\(11\) | −3.59701 | + | 1.25865i | −1.08454 | + | 0.379497i | −0.812602 | − | 0.582818i | \(-0.801950\pi\) |
−0.271937 | + | 0.962315i | \(0.587664\pi\) | |||||||
\(12\) | 2.13540 | + | 0.974851i | 0.616436 | + | 0.281415i | ||||
\(13\) | 1.64835 | + | 0.185724i | 0.457169 | + | 0.0515106i | 0.337547 | − | 0.941309i | \(-0.390403\pi\) |
0.119623 | + | 0.992819i | \(0.461832\pi\) | |||||||
\(14\) | 1.36376 | + | 4.55727i | 0.364480 | + | 1.21798i | ||||
\(15\) | 0.322402 | + | 0.669475i | 0.0832439 | + | 0.172858i | ||||
\(16\) | 1.58609 | − | 3.67210i | 0.396523 | − | 0.918025i | ||||
\(17\) | 2.12697 | − | 2.66714i | 0.515867 | − | 0.646876i | −0.453859 | − | 0.891074i | \(-0.649953\pi\) |
0.969726 | + | 0.244197i | \(0.0785245\pi\) | |||||||
\(18\) | −0.361091 | + | 2.26588i | −0.0851100 | + | 0.534073i | ||||
\(19\) | 2.06935 | − | 5.91387i | 0.474742 | − | 1.35673i | −0.418932 | − | 0.908017i | \(-0.637596\pi\) |
0.893674 | − | 0.448717i | \(-0.148119\pi\) | |||||||
\(20\) | 1.12928 | − | 0.572690i | 0.252514 | − | 0.128057i | ||||
\(21\) | 3.34281 | − | 2.10042i | 0.729460 | − | 0.458350i | ||||
\(22\) | 4.36311 | − | 3.16364i | 0.930218 | − | 0.674491i | ||||
\(23\) | −7.03544 | − | 3.38809i | −1.46699 | − | 0.706466i | −0.481540 | − | 0.876424i | \(-0.659922\pi\) |
−0.985451 | + | 0.169958i | \(0.945637\pi\) | |||||||
\(24\) | −3.28838 | − | 0.455007i | −0.671239 | − | 0.0928779i | ||||
\(25\) | −4.48388 | − | 1.02342i | −0.896776 | − | 0.204683i | ||||
\(26\) | −2.30856 | + | 0.416673i | −0.452747 | + | 0.0817164i | ||||
\(27\) | 5.39122 | − | 0.607445i | 1.03754 | − | 0.116903i | ||||
\(28\) | −3.69538 | − | 5.62150i | −0.698361 | − | 1.06236i | ||||
\(29\) | −1.11972 | + | 1.78203i | −0.207927 | + | 0.330915i | −0.934365 | − | 0.356318i | \(-0.884032\pi\) |
0.726437 | + | 0.687233i | \(0.241175\pi\) | |||||||
\(30\) | −0.708237 | − | 0.776325i | −0.129306 | − | 0.141737i | ||||
\(31\) | −2.31780 | + | 0.529022i | −0.416289 | + | 0.0950152i | −0.425535 | − | 0.904942i | \(-0.639914\pi\) |
0.00924592 | + | 0.999957i | \(0.497057\pi\) | |||||||
\(32\) | −0.660109 | + | 5.61821i | −0.116692 | + | 0.993168i | ||||
\(33\) | −3.49697 | − | 2.78874i | −0.608745 | − | 0.485458i | ||||
\(34\) | −1.80037 | + | 4.47593i | −0.308761 | + | 0.767616i | ||||
\(35\) | 0.238431 | − | 2.11613i | 0.0403022 | − | 0.357692i | ||||
\(36\) | −0.429449 | − | 3.21633i | −0.0715748 | − | 0.536055i | ||||
\(37\) | 0.0864539 | − | 0.0864539i | 0.0142129 | − | 0.0142129i | −0.699965 | − | 0.714178i | \(-0.746801\pi\) |
0.714178 | + | 0.699965i | \(0.246801\pi\) | |||||||
\(38\) | −0.405958 | + | 8.85140i | −0.0658551 | + | 1.43589i | ||||
\(39\) | 0.844728 | + | 1.75410i | 0.135265 | + | 0.280880i | ||||
\(40\) | −1.29781 | + | 1.23376i | −0.205202 | + | 0.195075i | ||||
\(41\) | 3.66814 | − | 0.837230i | 0.572868 | − | 0.130753i | 0.0737336 | − | 0.997278i | \(-0.476509\pi\) |
0.499134 | + | 0.866525i | \(0.333651\pi\) | |||||||
\(42\) | −3.67741 | + | 4.20106i | −0.567437 | + | 0.648238i | ||||
\(43\) | 4.19027 | − | 5.04397i | 0.639010 | − | 0.769198i | ||||
\(44\) | −4.62870 | + | 6.05523i | −0.697803 | + | 0.912861i | ||||
\(45\) | 0.546480 | − | 0.869718i | 0.0814645 | − | 0.129650i | ||||
\(46\) | 10.9056 | + | 1.73792i | 1.60795 | + | 0.256243i | ||||
\(47\) | 1.15176 | + | 2.39166i | 0.168002 | + | 0.348859i | 0.967924 | − | 0.251245i | \(-0.0808400\pi\) |
−0.799922 | + | 0.600104i | \(0.795126\pi\) | |||||||
\(48\) | 4.63975 | − | 0.716768i | 0.669690 | − | 0.103457i | ||||
\(49\) | −4.31428 | −0.616326 | ||||||||
\(50\) | 6.48992 | − | 0.431357i | 0.917813 | − | 0.0610031i | ||||
\(51\) | 3.97877 | + | 0.448300i | 0.557139 | + | 0.0627745i | ||||
\(52\) | 2.95882 | − | 1.50051i | 0.410315 | − | 0.208083i | ||||
\(53\) | 3.31830 | − | 0.373882i | 0.455803 | − | 0.0513567i | 0.118921 | − | 0.992904i | \(-0.462056\pi\) |
0.336882 | + | 0.941547i | \(0.390628\pi\) | |||||||
\(54\) | −7.05802 | + | 3.00880i | −0.960475 | + | 0.409446i | ||||
\(55\) | −2.35215 | + | 0.536863i | −0.317164 | + | 0.0723905i | ||||
\(56\) | 7.28586 | + | 6.11805i | 0.973613 | + | 0.817559i | ||||
\(57\) | 7.16938 | − | 1.63636i | 0.949607 | − | 0.216742i | ||||
\(58\) | 0.794556 | − | 2.86836i | 0.104330 | − | 0.376634i | ||||
\(59\) | −0.0366075 | − | 0.324901i | −0.00476589 | − | 0.0422985i | 0.991104 | − | 0.133088i | \(-0.0424894\pi\) |
−0.995870 | + | 0.0907899i | \(0.971061\pi\) | |||||||
\(60\) | 1.27431 | + | 0.764658i | 0.164512 | + | 0.0987170i | ||||
\(61\) | −0.0903698 | + | 0.0567831i | −0.0115707 | + | 0.00727033i | −0.537805 | − | 0.843069i | \(-0.680746\pi\) |
0.526234 | + | 0.850340i | \(0.323603\pi\) | |||||||
\(62\) | 2.92579 | − | 1.65647i | 0.371575 | − | 0.210372i | ||||
\(63\) | −4.91690 | − | 2.36785i | −0.619471 | − | 0.298321i | ||||
\(64\) | −1.38348 | − | 7.87947i | −0.172935 | − | 0.984933i | ||||
\(65\) | 1.02383 | + | 0.233683i | 0.126991 | + | 0.0289849i | ||||
\(66\) | 5.86854 | + | 2.36053i | 0.722367 | + | 0.290561i | ||||
\(67\) | 7.05191 | + | 2.46757i | 0.861528 | + | 0.301462i | 0.724642 | − | 0.689125i | \(-0.242005\pi\) |
0.136886 | + | 0.990587i | \(0.456291\pi\) | |||||||
\(68\) | 0.624524 | − | 6.79415i | 0.0757347 | − | 0.823912i | ||||
\(69\) | −1.02617 | − | 9.10748i | −0.123536 | − | 1.09641i | ||||
\(70\) | 0.534922 | + | 2.96371i | 0.0639354 | + | 0.354232i | ||||
\(71\) | −4.41388 | − | 9.16551i | −0.523831 | − | 1.08775i | −0.980210 | − | 0.197960i | \(-0.936568\pi\) |
0.456379 | − | 0.889785i | \(-0.349146\pi\) | |||||||
\(72\) | 1.88586 | + | 4.18353i | 0.222251 | + | 0.493034i | ||||
\(73\) | 4.46746 | + | 5.60202i | 0.522876 | + | 0.655666i | 0.971217 | − | 0.238197i | \(-0.0765562\pi\) |
−0.448341 | + | 0.893863i | \(0.647985\pi\) | |||||||
\(74\) | −0.0820804 | + | 0.152184i | −0.00954166 | + | 0.0176910i | ||||
\(75\) | −1.78286 | − | 5.09513i | −0.205867 | − | 0.588335i | ||||
\(76\) | −3.03868 | − | 12.1569i | −0.348560 | − | 1.39449i | ||||
\(77\) | 4.23368 | + | 12.0992i | 0.482472 | + | 1.37883i | ||||
\(78\) | −1.85566 | − | 2.03405i | −0.210112 | − | 0.230311i | ||||
\(79\) | 6.18745i | 0.696142i | 0.937468 | + | 0.348071i | \(0.113163\pi\) | ||||
−0.937468 | + | 0.348071i | \(0.886837\pi\) | |||||||
\(80\) | 1.25813 | − | 2.19774i | 0.140663 | − | 0.245715i | ||||
\(81\) | 0.935477 | + | 1.17305i | 0.103942 | + | 0.130339i | ||||
\(82\) | −4.63034 | + | 2.62153i | −0.511336 | + | 0.289499i | ||||
\(83\) | −0.762484 | + | 0.479101i | −0.0836935 | + | 0.0525881i | −0.573229 | − | 0.819395i | \(-0.694309\pi\) |
0.489535 | + | 0.871984i | \(0.337166\pi\) | |||||||
\(84\) | 3.27908 | − | 7.18277i | 0.357777 | − | 0.783705i | ||||
\(85\) | 1.52717 | − | 1.52717i | 0.165644 | − | 0.165644i | ||||
\(86\) | −3.63217 | + | 8.53272i | −0.391667 | + | 0.920107i | ||||
\(87\) | −2.47018 | −0.264831 | ||||||||
\(88\) | 3.81618 | − | 10.0806i | 0.406806 | − | 1.07459i | ||||
\(89\) | 1.58214 | − | 6.93181i | 0.167706 | − | 0.734770i | −0.819204 | − | 0.573502i | \(-0.805585\pi\) |
0.986911 | − | 0.161268i | \(-0.0515583\pi\) | |||||||
\(90\) | −0.387783 | + | 1.39990i | −0.0408759 | + | 0.147563i | ||||
\(91\) | 0.624715 | − | 5.54450i | 0.0654879 | − | 0.581221i | ||||
\(92\) | −15.4801 | + | 2.06693i | −1.61391 | + | 0.215492i | ||||
\(93\) | −1.97308 | − | 1.97308i | −0.204599 | − | 0.204599i | ||||
\(94\) | −2.53014 | − | 2.77337i | −0.260964 | − | 0.286052i | ||||
\(95\) | 1.72106 | − | 3.57381i | 0.176577 | − | 0.366666i | ||||
\(96\) | −5.99556 | + | 2.85224i | −0.611919 | + | 0.291106i | ||||
\(97\) | 10.8113 | + | 5.20645i | 1.09772 | + | 0.528635i | 0.892941 | − | 0.450173i | \(-0.148638\pi\) |
0.204780 | + | 0.978808i | \(0.434352\pi\) | |||||||
\(98\) | 5.84521 | − | 1.74917i | 0.590455 | − | 0.176693i | ||||
\(99\) | −0.692263 | + | 6.14401i | −0.0695751 | + | 0.617496i | ||||
\(100\) | −8.61798 | + | 3.21568i | −0.861798 | + | 0.321568i | ||||
\(101\) | 11.5168 | + | 4.02990i | 1.14596 | + | 0.400990i | 0.835443 | − | 0.549577i | \(-0.185211\pi\) |
0.310521 | + | 0.950567i | \(0.399497\pi\) | |||||||
\(102\) | −5.57240 | + | 1.00576i | −0.551750 | + | 0.0995855i | ||||
\(103\) | 10.6958 | − | 13.4121i | 1.05389 | − | 1.32154i | 0.109038 | − | 0.994038i | \(-0.465223\pi\) |
0.944852 | − | 0.327499i | \(-0.106206\pi\) | |||||||
\(104\) | −3.40040 | + | 3.23258i | −0.333437 | + | 0.316981i | ||||
\(105\) | 2.25189 | − | 1.08446i | 0.219762 | − | 0.105832i | ||||
\(106\) | −4.34421 | + | 1.85192i | −0.421947 | + | 0.179874i | ||||
\(107\) | 4.57795 | + | 7.28577i | 0.442567 | + | 0.704342i | 0.991295 | − | 0.131659i | \(-0.0420305\pi\) |
−0.548728 | + | 0.836001i | \(0.684888\pi\) | |||||||
\(108\) | 8.34268 | − | 6.93807i | 0.802775 | − | 0.667616i | ||||
\(109\) | −5.15022 | + | 1.80214i | −0.493302 | + | 0.172614i | −0.565454 | − | 0.824780i | \(-0.691299\pi\) |
0.0721522 | + | 0.997394i | \(0.477013\pi\) | |||||||
\(110\) | 2.96915 | − | 1.68102i | 0.283097 | − | 0.160279i | ||||
\(111\) | 0.139903 | + | 0.0319320i | 0.0132790 | + | 0.00303085i | ||||
\(112\) | −12.3517 | − | 5.33509i | −1.16713 | − | 0.504118i | ||||
\(113\) | 13.1888 | + | 10.5178i | 1.24070 | + | 0.989427i | 0.999822 | + | 0.0188725i | \(0.00600766\pi\) |
0.240881 | + | 0.970555i | \(0.422564\pi\) | |||||||
\(114\) | −9.04999 | + | 5.12376i | −0.847610 | + | 0.479884i | ||||
\(115\) | −4.18594 | − | 2.63020i | −0.390341 | − | 0.245267i | ||||
\(116\) | 0.0864368 | + | 4.20834i | 0.00802546 | + | 0.390735i | ||||
\(117\) | 1.43184 | − | 2.27876i | 0.132373 | − | 0.210671i | ||||
\(118\) | 0.181325 | + | 0.425350i | 0.0166923 | + | 0.0391566i | ||||
\(119\) | −8.97138 | − | 7.15444i | −0.822405 | − | 0.655846i | ||||
\(120\) | −2.03652 | − | 0.519346i | −0.185908 | − | 0.0474096i | ||||
\(121\) | 2.75414 | − | 2.19635i | 0.250376 | − | 0.199668i | ||||
\(122\) | 0.0994156 | − | 0.113572i | 0.00900066 | − | 0.0102823i | ||||
\(123\) | 3.12259 | + | 3.12259i | 0.281554 | + | 0.281554i | ||||
\(124\) | −3.29241 | + | 3.43049i | −0.295667 | + | 0.308067i | ||||
\(125\) | −5.73617 | − | 2.00717i | −0.513058 | − | 0.179527i | ||||
\(126\) | 7.62168 | + | 1.21459i | 0.678993 | + | 0.108204i | ||||
\(127\) | −16.9240 | + | 3.86280i | −1.50176 | + | 0.342768i | −0.892809 | − | 0.450436i | \(-0.851268\pi\) |
−0.608956 | + | 0.793204i | \(0.708411\pi\) | |||||||
\(128\) | 5.06905 | + | 10.1146i | 0.448045 | + | 0.894011i | ||||
\(129\) | 7.62927 | + | 1.01460i | 0.671720 | + | 0.0893304i | ||||
\(130\) | −1.48189 | + | 0.0984946i | −0.129970 | + | 0.00863855i | ||||
\(131\) | −2.90859 | − | 1.82759i | −0.254124 | − | 0.159677i | 0.398945 | − | 0.916975i | \(-0.369376\pi\) |
−0.653070 | + | 0.757298i | \(0.726519\pi\) | |||||||
\(132\) | −8.90804 | − | 0.818834i | −0.775345 | − | 0.0712704i | ||||
\(133\) | −19.8923 | − | 6.96062i | −1.72488 | − | 0.603562i | ||||
\(134\) | −10.5547 | − | 0.484079i | −0.911790 | − | 0.0418181i | ||||
\(135\) | 3.43475 | 0.295617 | ||||||||
\(136\) | 1.90847 | + | 9.45827i | 0.163650 | + | 0.811040i | ||||
\(137\) | 4.58458 | + | 5.74888i | 0.391687 | + | 0.491160i | 0.938104 | − | 0.346353i | \(-0.112580\pi\) |
−0.546417 | + | 0.837513i | \(0.684009\pi\) | |||||||
\(138\) | 5.08282 | + | 11.9232i | 0.432678 | + | 1.01497i | ||||
\(139\) | 0.543960 | + | 4.82778i | 0.0461381 | + | 0.409487i | 0.995460 | + | 0.0951813i | \(0.0303431\pi\) |
−0.949322 | + | 0.314306i | \(0.898228\pi\) | |||||||
\(140\) | −1.92634 | − | 3.79851i | −0.162805 | − | 0.321033i | ||||
\(141\) | −1.65761 | + | 2.63808i | −0.139596 | + | 0.222166i | ||||
\(142\) | 9.69618 | + | 10.6283i | 0.813686 | + | 0.891911i | ||||
\(143\) | −6.16288 | + | 1.40664i | −0.515366 | + | 0.117629i | ||||
\(144\) | −4.25122 | − | 4.90346i | −0.354268 | − | 0.408622i | ||||
\(145\) | −0.830752 | + | 1.04173i | −0.0689902 | + | 0.0865109i | ||||
\(146\) | −8.32401 | − | 5.77862i | −0.688900 | − | 0.478242i | ||||
\(147\) | −2.69403 | − | 4.28752i | −0.222200 | − | 0.353629i | ||||
\(148\) | 0.0495057 | − | 0.239465i | 0.00406935 | − | 0.0196839i | ||||
\(149\) | −3.00733 | + | 1.05231i | −0.246370 | + | 0.0862087i | −0.450639 | − | 0.892706i | \(-0.648804\pi\) |
0.204269 | + | 0.978915i | \(0.434518\pi\) | |||||||
\(150\) | 4.48127 | + | 6.18030i | 0.365894 | + | 0.504620i | ||||
\(151\) | −12.8835 | − | 2.94056i | −1.04844 | − | 0.239300i | −0.336605 | − | 0.941646i | \(-0.609279\pi\) |
−0.711835 | + | 0.702346i | \(0.752136\pi\) | |||||||
\(152\) | 9.04582 | + | 15.2388i | 0.733713 | + | 1.23603i | ||||
\(153\) | −2.40145 | − | 4.98666i | −0.194146 | − | 0.403148i | ||||
\(154\) | −10.6415 | − | 14.6761i | −0.857513 | − | 1.18263i | ||||
\(155\) | −1.49566 | + | 0.168520i | −0.120134 | + | 0.0135359i | ||||
\(156\) | 3.33882 | + | 2.00349i | 0.267320 | + | 0.160407i | ||||
\(157\) | 6.09739 | + | 2.13357i | 0.486624 | + | 0.170277i | 0.562429 | − | 0.826845i | \(-0.309867\pi\) |
−0.0758048 | + | 0.997123i | \(0.524153\pi\) | |||||||
\(158\) | −2.50862 | − | 8.38307i | −0.199575 | − | 0.666921i | ||||
\(159\) | 2.44365 | + | 3.06425i | 0.193794 | + | 0.243010i | ||||
\(160\) | −0.813526 | + | 3.48770i | −0.0643149 | + | 0.275727i | ||||
\(161\) | −11.3964 | + | 23.6649i | −0.898164 | + | 1.86506i | ||||
\(162\) | −1.74303 | − | 1.21003i | −0.136945 | − | 0.0950691i | ||||
\(163\) | −19.1506 | + | 6.70109i | −1.49999 | + | 0.524870i | −0.950526 | − | 0.310646i | \(-0.899455\pi\) |
−0.549466 | + | 0.835516i | \(0.685169\pi\) | |||||||
\(164\) | 5.21056 | − | 5.42909i | 0.406876 | − | 0.423941i | ||||
\(165\) | −2.00232 | − | 2.00232i | −0.155880 | − | 0.155880i | ||||
\(166\) | 0.838807 | − | 0.958249i | 0.0651040 | − | 0.0743746i | ||||
\(167\) | 4.79635 | + | 6.01443i | 0.371152 | + | 0.465410i | 0.931973 | − | 0.362527i | \(-0.118086\pi\) |
−0.560821 | + | 0.827937i | \(0.689514\pi\) | |||||||
\(168\) | −1.53049 | + | 11.0610i | −0.118080 | + | 0.853378i | ||||
\(169\) | −9.99151 | − | 2.28050i | −0.768578 | − | 0.175423i | ||||
\(170\) | −1.44991 | + | 2.68825i | −0.111203 | + | 0.206180i | ||||
\(171\) | −7.18797 | − | 7.18797i | −0.549677 | − | 0.549677i | ||||
\(172\) | 1.46156 | − | 13.0332i | 0.111443 | − | 0.993771i | ||||
\(173\) | 13.4072 | − | 13.4072i | 1.01933 | − | 1.01933i | 0.0195188 | − | 0.999809i | \(-0.493787\pi\) |
0.999809 | − | 0.0195188i | \(-0.00621342\pi\) | |||||||
\(174\) | 3.34673 | − | 1.00150i | 0.253715 | − | 0.0759238i | ||||
\(175\) | −3.44244 | + | 15.0823i | −0.260224 | + | 1.14011i | ||||
\(176\) | −1.08330 | + | 15.2049i | −0.0816571 | + | 1.14611i | ||||
\(177\) | 0.300026 | − | 0.239263i | 0.0225513 | − | 0.0179841i | ||||
\(178\) | 0.666852 | + | 10.0330i | 0.0499827 | + | 0.752007i | ||||
\(179\) | −8.19420 | + | 8.19420i | −0.612464 | + | 0.612464i | −0.943587 | − | 0.331124i | \(-0.892572\pi\) |
0.331124 | + | 0.943587i | \(0.392572\pi\) | |||||||
\(180\) | −0.0421854 | − | 2.05388i | −0.00314432 | − | 0.153087i | ||||
\(181\) | −1.96368 | − | 5.61188i | −0.145959 | − | 0.417128i | 0.847573 | − | 0.530679i | \(-0.178063\pi\) |
−0.993532 | + | 0.113551i | \(0.963777\pi\) | |||||||
\(182\) | 1.40155 | + | 7.76525i | 0.103890 | + | 0.575598i | ||||
\(183\) | −0.112862 | − | 0.0543514i | −0.00834298 | − | 0.00401777i | ||||
\(184\) | 20.1353 | − | 9.07660i | 1.48439 | − | 0.669136i | ||||
\(185\) | 0.0605176 | − | 0.0482612i | 0.00444934 | − | 0.00354823i | ||||
\(186\) | 3.47318 | + | 1.87327i | 0.254666 | + | 0.137354i | ||||
\(187\) | −4.29375 | + | 12.2708i | −0.313990 | + | 0.897332i | ||||
\(188\) | 4.55239 | + | 2.73170i | 0.332017 | + | 0.199229i | ||||
\(189\) | −2.04325 | − | 18.1343i | −0.148624 | − | 1.31908i | ||||
\(190\) | −0.882818 | + | 5.53977i | −0.0640464 | + | 0.401897i | ||||
\(191\) | −23.7675 | + | 11.4458i | −1.71975 | + | 0.828190i | −0.730337 | + | 0.683087i | \(0.760637\pi\) |
−0.989417 | + | 0.145103i | \(0.953649\pi\) | |||||||
\(192\) | 6.96668 | − | 6.29519i | 0.502777 | − | 0.454316i | ||||
\(193\) | −0.857807 | + | 3.75830i | −0.0617463 | + | 0.270528i | −0.996372 | − | 0.0851047i | \(-0.972878\pi\) |
0.934626 | + | 0.355633i | \(0.115735\pi\) | |||||||
\(194\) | −16.7586 | − | 2.67065i | −1.20320 | − | 0.191742i | ||||
\(195\) | 0.407093 | + | 1.16341i | 0.0291525 | + | 0.0833132i | ||||
\(196\) | −7.21021 | + | 4.73974i | −0.515015 | + | 0.338553i | ||||
\(197\) | −8.09917 | + | 5.08904i | −0.577042 | + | 0.362579i | −0.788713 | − | 0.614762i | \(-0.789252\pi\) |
0.211671 | + | 0.977341i | \(0.432109\pi\) | |||||||
\(198\) | −1.55310 | − | 8.60488i | −0.110374 | − | 0.611522i | ||||
\(199\) | 16.5970 | + | 13.2356i | 1.17653 | + | 0.938250i | 0.998948 | − | 0.0458567i | \(-0.0146018\pi\) |
0.177580 | + | 0.984106i | \(0.443173\pi\) | |||||||
\(200\) | 10.3723 | − | 7.85082i | 0.733434 | − | 0.555137i | ||||
\(201\) | 1.95126 | + | 8.54903i | 0.137631 | + | 0.603002i | ||||
\(202\) | −17.2374 | − | 0.790572i | −1.21282 | − | 0.0556245i | ||||
\(203\) | 5.99416 | + | 3.76638i | 0.420708 | + | 0.264348i | ||||
\(204\) | 7.14199 | − | 3.62192i | 0.500039 | − | 0.253585i | ||||
\(205\) | 2.36703 | − | 0.266700i | 0.165320 | − | 0.0186271i | ||||
\(206\) | −9.05345 | + | 22.5079i | −0.630784 | + | 1.56820i | ||||
\(207\) | −9.90519 | + | 7.89912i | −0.688458 | + | 0.549027i | ||||
\(208\) | 3.29643 | − | 5.75832i | 0.228566 | − | 0.399268i | ||||
\(209\) | 23.8768i | 1.65159i | ||||||||
\(210\) | −2.61130 | + | 2.38228i | −0.180197 | + | 0.164393i | ||||
\(211\) | 2.92119 | − | 8.34828i | 0.201103 | − | 0.574720i | −0.798526 | − | 0.601961i | \(-0.794386\pi\) |
0.999629 | + | 0.0272410i | \(0.00867214\pi\) | |||||||
\(212\) | 5.13492 | − | 4.27038i | 0.352668 | − | 0.293291i | ||||
\(213\) | 6.35244 | − | 10.1098i | 0.435262 | − | 0.692715i | ||||
\(214\) | −9.15636 | − | 8.01505i | −0.625916 | − | 0.547898i | ||||
\(215\) | 2.99370 | − | 2.87621i | 0.204168 | − | 0.196156i | ||||
\(216\) | −8.49014 | + | 12.7825i | −0.577681 | + | 0.869738i | ||||
\(217\) | 1.77946 | + | 7.79631i | 0.120797 | + | 0.529248i | ||||
\(218\) | 6.24713 | − | 4.52972i | 0.423109 | − | 0.306792i | ||||
\(219\) | −2.77759 | + | 7.93789i | −0.187692 | + | 0.536393i | ||||
\(220\) | −3.34120 | + | 3.48133i | −0.225264 | + | 0.234711i | ||||
\(221\) | 4.00134 | − | 4.00134i | 0.269159 | − | 0.269159i | ||||
\(222\) | −0.202494 | + | 0.0134589i | −0.0135905 | + | 0.000903305i | ||||
\(223\) | −15.1523 | − | 19.0004i | −1.01467 | − | 1.27236i | −0.961798 | − | 0.273760i | \(-0.911733\pi\) |
−0.0528758 | − | 0.998601i | \(-0.516839\pi\) | |||||||
\(224\) | 18.8978 | + | 2.22039i | 1.26266 | + | 0.148356i | ||||
\(225\) | −4.65242 | + | 5.83394i | −0.310161 | + | 0.388930i | ||||
\(226\) | −22.1332 | − | 8.90273i | −1.47228 | − | 0.592201i | ||||
\(227\) | −4.24481 | − | 2.66719i | −0.281738 | − | 0.177028i | 0.383749 | − | 0.923438i | \(-0.374633\pi\) |
−0.665486 | + | 0.746410i | \(0.731776\pi\) | |||||||
\(228\) | 10.1840 | − | 10.6111i | 0.674453 | − | 0.702740i | ||||
\(229\) | 13.4093 | − | 21.3408i | 0.886111 | − | 1.41024i | −0.0257187 | − | 0.999669i | \(-0.508187\pi\) |
0.911830 | − | 0.410568i | \(-0.134670\pi\) | |||||||
\(230\) | 6.73770 | + | 1.86639i | 0.444271 | + | 0.123066i | ||||
\(231\) | −9.38041 | + | 11.7627i | −0.617186 | + | 0.773927i | ||||
\(232\) | −1.82333 | − | 5.66663i | −0.119707 | − | 0.372033i | ||||
\(233\) | 2.88374 | − | 12.6345i | 0.188920 | − | 0.827713i | −0.788267 | − | 0.615333i | \(-0.789021\pi\) |
0.977187 | − | 0.212380i | \(-0.0681214\pi\) | |||||||
\(234\) | −1.01603 | + | 3.66789i | −0.0664201 | + | 0.239778i | ||||
\(235\) | 0.555060 | + | 1.58627i | 0.0362081 | + | 0.103477i | ||||
\(236\) | −0.418121 | − | 0.502770i | −0.0272173 | − | 0.0327275i | ||||
\(237\) | −6.14907 | + | 3.86372i | −0.399425 | + | 0.250975i | ||||
\(238\) | 15.0556 | + | 6.05586i | 0.975907 | + | 0.392543i | ||||
\(239\) | 8.78796 | + | 18.2484i | 0.568446 | + | 1.18039i | 0.964969 | + | 0.262365i | \(0.0845025\pi\) |
−0.396523 | + | 0.918025i | \(0.629783\pi\) | |||||||
\(240\) | 2.96974 | − | 0.122045i | 0.191696 | − | 0.00787795i | ||||
\(241\) | −8.50413 | − | 6.78181i | −0.547799 | − | 0.436855i | 0.310077 | − | 0.950711i | \(-0.399645\pi\) |
−0.857876 | + | 0.513856i | \(0.828216\pi\) | |||||||
\(242\) | −2.84096 | + | 4.09236i | −0.182624 | + | 0.263067i | ||||
\(243\) | 4.79400 | − | 13.7005i | 0.307536 | − | 0.878886i | ||||
\(244\) | −0.0886469 | + | 0.194180i | −0.00567504 | + | 0.0124311i | ||||
\(245\) | −2.71418 | − | 0.305814i | −0.173402 | − | 0.0195378i | ||||
\(246\) | −5.49666 | − | 2.96463i | −0.350454 | − | 0.189018i | ||||
\(247\) | 4.50936 | − | 9.36377i | 0.286923 | − | 0.595803i | ||||
\(248\) | 3.06987 | − | 5.98267i | 0.194937 | − | 0.379900i | ||||
\(249\) | −0.952258 | − | 0.458583i | −0.0603469 | − | 0.0290615i | ||||
\(250\) | 8.58543 | + | 0.393760i | 0.542991 | + | 0.0249036i | ||||
\(251\) | 18.4547 | − | 18.4547i | 1.16485 | − | 1.16485i | 0.181449 | − | 0.983400i | \(-0.441921\pi\) |
0.983400 | − | 0.181449i | \(-0.0580786\pi\) | |||||||
\(252\) | −10.8187 | + | 1.44452i | −0.681512 | + | 0.0909964i | ||||
\(253\) | 29.5710 | + | 3.33185i | 1.85911 | + | 0.209472i | ||||
\(254\) | 21.3634 | − | 12.0952i | 1.34046 | − | 0.758917i | ||||
\(255\) | 2.47132 | + | 0.564064i | 0.154760 | + | 0.0353230i | ||||
\(256\) | −10.9686 | − | 11.6486i | −0.685539 | − | 0.728035i | ||||
\(257\) | − | 24.6513i | − | 1.53771i | −0.639425 | − | 0.768854i | \(-0.720827\pi\) | ||
0.639425 | − | 0.768854i | \(-0.279173\pi\) | |||||||
\(258\) | −10.7479 | + | 1.71857i | −0.669134 | + | 0.106993i | ||||
\(259\) | −0.290802 | − | 0.290802i | −0.0180696 | − | 0.0180696i | ||||
\(260\) | 1.96780 | − | 0.734258i | 0.122038 | − | 0.0455367i | ||||
\(261\) | 1.81668 | + | 2.89123i | 0.112450 | + | 0.178963i | ||||
\(262\) | 4.68167 | + | 1.29686i | 0.289235 | + | 0.0801200i | ||||
\(263\) | −2.84411 | + | 2.26810i | −0.175375 | + | 0.139857i | −0.707243 | − | 0.706970i | \(-0.750062\pi\) |
0.531868 | + | 0.846827i | \(0.321490\pi\) | |||||||
\(264\) | 12.4010 | − | 2.50226i | 0.763232 | − | 0.154003i | ||||
\(265\) | 2.11409 | 0.129868 | ||||||||
\(266\) | 29.7732 | + | 1.36551i | 1.82551 | + | 0.0837248i | ||||
\(267\) | 7.87677 | − | 2.75620i | 0.482050 | − | 0.168677i | ||||
\(268\) | 14.4963 | − | 3.62343i | 0.885505 | − | 0.221336i | ||||
\(269\) | −20.6063 | + | 7.21044i | −1.25639 | + | 0.439628i | −0.874700 | − | 0.484664i | \(-0.838942\pi\) |
−0.381685 | + | 0.924292i | \(0.624656\pi\) | |||||||
\(270\) | −4.65358 | + | 1.39258i | −0.283208 | + | 0.0847496i | ||||
\(271\) | −11.6743 | + | 9.30993i | −0.709162 | + | 0.565538i | −0.910262 | − | 0.414033i | \(-0.864120\pi\) |
0.201100 | + | 0.979571i | \(0.435548\pi\) | |||||||
\(272\) | −6.42043 | − | 12.0408i | −0.389296 | − | 0.730079i | ||||
\(273\) | 5.90020 | − | 2.84139i | 0.357097 | − | 0.171969i | ||||
\(274\) | −8.54223 | − | 5.93011i | −0.516055 | − | 0.358251i | ||||
\(275\) | 17.4167 | − | 1.96239i | 1.05027 | − | 0.118336i | ||||
\(276\) | −11.7206 | − | 14.0934i | −0.705496 | − | 0.848325i | ||||
\(277\) | 1.94247 | − | 5.55127i | 0.116712 | − | 0.333544i | −0.870677 | − | 0.491855i | \(-0.836319\pi\) |
0.987389 | + | 0.158311i | \(0.0506049\pi\) | |||||||
\(278\) | −2.69435 | − | 6.32038i | −0.161596 | − | 0.379071i | ||||
\(279\) | −0.858305 | + | 3.76048i | −0.0513854 | + | 0.225134i | ||||
\(280\) | 4.14996 | + | 4.36541i | 0.248008 | + | 0.260883i | ||||
\(281\) | −9.20396 | + | 19.1122i | −0.549062 | + | 1.14014i | 0.423154 | + | 0.906058i | \(0.360923\pi\) |
−0.972217 | + | 0.234082i | \(0.924792\pi\) | |||||||
\(282\) | 1.17624 | − | 4.24626i | 0.0700443 | − | 0.252861i | ||||
\(283\) | 13.6802 | + | 21.7719i | 0.813201 | + | 1.29420i | 0.952679 | + | 0.303977i | \(0.0983146\pi\) |
−0.139478 | + | 0.990225i | \(0.544543\pi\) | |||||||
\(284\) | −17.4460 | − | 10.4686i | −1.03523 | − | 0.621198i | ||||
\(285\) | 4.62635 | − | 0.521265i | 0.274041 | − | 0.0308770i | ||||
\(286\) | 7.77948 | − | 4.40445i | 0.460010 | − | 0.260440i | ||||
\(287\) | −2.81617 | − | 12.3384i | −0.166233 | − | 0.728315i | ||||
\(288\) | 7.74782 | + | 4.91986i | 0.456544 | + | 0.289905i | ||||
\(289\) | 1.19324 | + | 5.22791i | 0.0701904 | + | 0.307524i | ||||
\(290\) | 0.703188 | − | 1.74821i | 0.0412926 | − | 0.102658i | ||||
\(291\) | 1.57690 | + | 13.9954i | 0.0924395 | + | 0.820424i | ||||
\(292\) | 13.6207 | + | 4.45430i | 0.797089 | + | 0.260668i | ||||
\(293\) | −0.903354 | + | 8.01749i | −0.0527745 | + | 0.468387i | 0.939334 | + | 0.343004i | \(0.111444\pi\) |
−0.992108 | + | 0.125383i | \(0.959984\pi\) | |||||||
\(294\) | 5.38833 | + | 4.71669i | 0.314254 | + | 0.275083i | ||||
\(295\) | − | 0.206995i | − | 0.0120517i | ||||||
\(296\) | 0.0300151 | + | 0.344510i | 0.00174459 | + | 0.0200243i | ||||
\(297\) | −18.6277 | + | 8.97064i | −1.08089 | + | 0.520529i | ||||
\(298\) | 3.64784 | − | 2.64501i | 0.211314 | − | 0.153221i | ||||
\(299\) | −10.9676 | − | 6.89140i | −0.634273 | − | 0.398540i | ||||
\(300\) | −8.57718 | − | 6.55651i | −0.495204 | − | 0.378540i | ||||
\(301\) | −16.9663 | − | 14.0947i | −0.977919 | − | 0.812404i | ||||
\(302\) | 18.6474 | − | 1.23941i | 1.07304 | − | 0.0713201i | ||||
\(303\) | 3.18669 | + | 13.9618i | 0.183071 | + | 0.802085i | ||||
\(304\) | −18.4341 | − | 16.9788i | −1.05727 | − | 0.973801i | ||||
\(305\) | −0.0608780 | + | 0.0293173i | −0.00348586 | + | 0.00167870i | ||||
\(306\) | 5.27539 | + | 5.78255i | 0.301574 | + | 0.330566i | ||||
\(307\) | 17.5233 | + | 17.5233i | 1.00011 | + | 1.00011i | 1.00000 | 0.000109504i | \(3.48563e-5\pi\) | |
0.000109504 | 1.00000i | \(0.499965\pi\) | ||||||||
\(308\) | 20.3678 | + | 15.5694i | 1.16056 | + | 0.887150i | ||||
\(309\) | 20.0079 | + | 2.25435i | 1.13821 | + | 0.128245i | ||||
\(310\) | 1.95807 | − | 0.834717i | 0.111211 | − | 0.0474087i | ||||
\(311\) | 5.81231 | − | 7.28841i | 0.329586 | − | 0.413288i | −0.589235 | − | 0.807961i | \(-0.700571\pi\) |
0.918821 | + | 0.394674i | \(0.129142\pi\) | |||||||
\(312\) | −5.33589 | − | 1.36074i | −0.302085 | − | 0.0770368i | ||||
\(313\) | 0.954912 | + | 4.18374i | 0.0539748 | + | 0.236479i | 0.994719 | − | 0.102639i | \(-0.0327286\pi\) |
−0.940744 | + | 0.339118i | \(0.889871\pi\) | |||||||
\(314\) | −9.12608 | − | 0.418556i | −0.515014 | − | 0.0236205i | ||||
\(315\) | −2.92545 | − | 1.83818i | −0.164830 | − | 0.103570i | ||||
\(316\) | 6.79762 | + | 10.3407i | 0.382396 | + | 0.581711i | ||||
\(317\) | 2.32942 | + | 20.6742i | 0.130833 | + | 1.16118i | 0.871878 | + | 0.489723i | \(0.162902\pi\) |
−0.741045 | + | 0.671456i | \(0.765669\pi\) | |||||||
\(318\) | −4.55315 | − | 3.16085i | −0.255328 | − | 0.177251i | ||||
\(319\) | 1.78471 | − | 7.81932i | 0.0999245 | − | 0.437798i | ||||
\(320\) | −0.311840 | − | 5.05515i | −0.0174324 | − | 0.282592i | ||||
\(321\) | −4.38190 | + | 9.09911i | −0.244574 | + | 0.507863i | ||||
\(322\) | 5.84580 | − | 36.6830i | 0.325774 | − | 2.04426i | ||||
\(323\) | −11.3717 | − | 18.0979i | −0.632736 | − | 1.00699i | ||||
\(324\) | 2.85214 | + | 0.932722i | 0.158452 | + | 0.0518179i | ||||
\(325\) | −7.20092 | − | 2.51971i | −0.399435 | − | 0.139768i | ||||
\(326\) | 23.2294 | − | 16.8434i | 1.28655 | − | 0.932867i | ||||
\(327\) | −5.00699 | − | 3.99294i | −0.276887 | − | 0.220810i | ||||
\(328\) | −4.85837 | + | 9.46817i | −0.268259 | + | 0.522792i | ||||
\(329\) | 8.04476 | − | 3.87415i | 0.443522 | − | 0.213589i | ||||
\(330\) | 3.52466 | + | 1.90103i | 0.194026 | + | 0.104648i | ||||
\(331\) | 2.53809 | − | 22.5262i | 0.139506 | − | 1.23815i | −0.707555 | − | 0.706658i | \(-0.750202\pi\) |
0.847062 | − | 0.531495i | \(-0.178369\pi\) | |||||||
\(332\) | −0.747948 | + | 1.63837i | −0.0410490 | + | 0.0899172i | ||||
\(333\) | −0.0655161 | − | 0.187234i | −0.00359026 | − | 0.0102604i | ||||
\(334\) | −8.93681 | − | 6.20403i | −0.489000 | − | 0.339470i | ||||
\(335\) | 4.26155 | + | 2.05225i | 0.232833 | + | 0.112127i | ||||
\(336\) | −2.41097 | − | 15.6066i | −0.131529 | − | 0.851409i | ||||
\(337\) | 33.5463 | 1.82738 | 0.913692 | − | 0.406408i | \(-0.133219\pi\) | ||||
0.913692 | + | 0.406408i | \(0.133219\pi\) | |||||||
\(338\) | 14.4616 | − | 0.961201i | 0.786607 | − | 0.0522824i | ||||
\(339\) | −2.21682 | + | 19.6748i | −0.120401 | + | 1.06859i | ||||
\(340\) | 0.874495 | − | 4.23003i | 0.0474262 | − | 0.229406i | ||||
\(341\) | 7.67129 | − | 4.82019i | 0.415424 | − | 0.261028i | ||||
\(342\) | 12.6529 | + | 6.82435i | 0.684190 | + | 0.369018i | ||||
\(343\) | − | 9.03387i | − | 0.487783i | ||||||
\(344\) | 3.30394 | + | 18.2506i | 0.178137 | + | 0.984006i | ||||
\(345\) | − | 5.80238i | − | 0.312390i | ||||||
\(346\) | −12.7289 | + | 23.6005i | −0.684312 | + | 1.26877i | ||||
\(347\) | 6.55458 | − | 4.11852i | 0.351869 | − | 0.221094i | −0.344486 | − | 0.938791i | \(-0.611947\pi\) |
0.696355 | + | 0.717698i | \(0.254804\pi\) | |||||||
\(348\) | −4.12827 | + | 2.71378i | −0.221298 | + | 0.145474i | ||||
\(349\) | −2.22115 | + | 19.7132i | −0.118895 | + | 1.05523i | 0.782626 | + | 0.622492i | \(0.213880\pi\) |
−0.901522 | + | 0.432734i | \(0.857549\pi\) | |||||||
\(350\) | −1.45094 | − | 21.8300i | −0.0775562 | − | 1.16686i | ||||
\(351\) | 8.99942 | 0.480354 | ||||||||
\(352\) | −4.69693 | − | 21.0396i | −0.250347 | − | 1.12141i | ||||
\(353\) | 11.3625 | + | 5.47191i | 0.604767 | + | 0.291240i | 0.711101 | − | 0.703090i | \(-0.248197\pi\) |
−0.106334 | + | 0.994330i | \(0.533911\pi\) | |||||||
\(354\) | −0.309484 | + | 0.445807i | −0.0164489 | + | 0.0236944i | ||||
\(355\) | −2.12714 | − | 6.07903i | −0.112897 | − | 0.322641i | ||||
\(356\) | −4.97125 | − | 13.3229i | −0.263476 | − | 0.706111i | ||||
\(357\) | 1.50793 | − | 13.3833i | 0.0798083 | − | 0.708318i | ||||
\(358\) | 7.77968 | − | 14.4242i | 0.411169 | − | 0.762341i | ||||
\(359\) | −14.8769 | + | 7.16436i | −0.785175 | + | 0.378120i | −0.783115 | − | 0.621877i | \(-0.786370\pi\) |
−0.00206057 | + | 0.999998i | \(0.500656\pi\) | |||||||
\(360\) | 0.889875 | + | 2.76560i | 0.0469005 | + | 0.145760i | ||||
\(361\) | −15.8368 | − | 12.6294i | −0.833516 | − | 0.664707i | ||||
\(362\) | 4.93577 | + | 6.80711i | 0.259418 | + | 0.357774i | ||||
\(363\) | 3.90254 | + | 1.36556i | 0.204830 | + | 0.0716731i | ||||
\(364\) | −5.04722 | − | 9.95251i | −0.264546 | − | 0.521653i | ||||
\(365\) | 2.41345 | + | 3.84098i | 0.126326 | + | 0.201046i | ||||
\(366\) | 0.174947 | + | 0.0278796i | 0.00914462 | + | 0.00145729i | ||||
\(367\) | 6.72746 | − | 13.9697i | 0.351171 | − | 0.729213i | −0.648312 | − | 0.761375i | \(-0.724525\pi\) |
0.999483 | + | 0.0321615i | \(0.0102391\pi\) | |||||||
\(368\) | −23.6003 | + | 20.4610i | −1.23025 | + | 1.06660i | ||||
\(369\) | 1.35835 | − | 5.95133i | 0.0707130 | − | 0.309814i | ||||
\(370\) | −0.0624254 | + | 0.0899228i | −0.00324534 | + | 0.00467486i | ||||
\(371\) | −1.25762 | − | 11.1617i | −0.0652922 | − | 0.579484i | ||||
\(372\) | −5.46514 | − | 1.12983i | −0.283354 | − | 0.0585792i | ||||
\(373\) | 3.62956 | + | 2.28061i | 0.187932 | + | 0.118085i | 0.622712 | − | 0.782451i | \(-0.286031\pi\) |
−0.434780 | + | 0.900537i | \(0.643174\pi\) | |||||||
\(374\) | 0.842333 | − | 18.3660i | 0.0435560 | − | 0.949683i | ||||
\(375\) | −1.58719 | − | 6.95395i | −0.0819624 | − | 0.359101i | ||||
\(376\) | −7.27533 | − | 1.85533i | −0.375197 | − | 0.0956814i | ||||
\(377\) | −2.17666 | + | 2.72944i | −0.112104 | + | 0.140573i | ||||
\(378\) | 10.1206 | + | 23.7409i | 0.520549 | + | 1.22110i | ||||
\(379\) | −3.40681 | − | 0.383855i | −0.174996 | − | 0.0197173i | 0.0240316 | − | 0.999711i | \(-0.492350\pi\) |
−0.199028 | + | 0.979994i | \(0.563778\pi\) | |||||||
\(380\) | −1.04994 | − | 7.86348i | −0.0538609 | − | 0.403388i | ||||
\(381\) | −14.4069 | − | 14.4069i | −0.738090 | − | 0.738090i | ||||
\(382\) | 27.5608 | − | 25.1436i | 1.41013 | − | 1.28646i | ||||
\(383\) | −7.99035 | + | 3.84795i | −0.408288 | + | 0.196621i | −0.626743 | − | 0.779226i | \(-0.715612\pi\) |
0.218455 | + | 0.975847i | \(0.429898\pi\) | |||||||
\(384\) | −6.88651 | + | 11.3536i | −0.351426 | + | 0.579386i | ||||
\(385\) | 1.80583 | + | 7.91185i | 0.0920336 | + | 0.403225i | ||||
\(386\) | −0.361555 | − | 5.43972i | −0.0184027 | − | 0.276875i | ||||
\(387\) | −4.42337 | − | 9.67589i | −0.224852 | − | 0.491853i | ||||
\(388\) | 23.7882 | − | 3.17623i | 1.20766 | − | 0.161249i | ||||
\(389\) | −22.0277 | − | 13.8409i | −1.11685 | − | 0.701761i | −0.158497 | − | 0.987359i | \(-0.550665\pi\) |
−0.958349 | + | 0.285598i | \(0.907808\pi\) | |||||||
\(390\) | −1.02324 | − | 1.41119i | −0.0518137 | − | 0.0714584i | ||||
\(391\) | −24.0007 | + | 11.5581i | −1.21377 | + | 0.584520i | ||||
\(392\) | 7.84708 | − | 9.34492i | 0.396338 | − | 0.471990i | ||||
\(393\) | − | 4.03177i | − | 0.203376i | ||||||
\(394\) | 8.90987 | − | 10.1786i | 0.448873 | − | 0.512791i | ||||
\(395\) | −0.438592 | + | 3.89261i | −0.0220680 | + | 0.195859i | ||||
\(396\) | 5.59296 | + | 11.0286i | 0.281057 | + | 0.554210i | ||||
\(397\) | 2.37238 | + | 21.0554i | 0.119066 | + | 1.05674i | 0.901132 | + | 0.433545i | \(0.142738\pi\) |
−0.782066 | + | 0.623196i | \(0.785834\pi\) | |||||||
\(398\) | −27.8526 | − | 11.2033i | −1.39613 | − | 0.561570i | ||||
\(399\) | −5.50419 | − | 24.1154i | −0.275554 | − | 1.20728i | ||||
\(400\) | −10.8699 | + | 14.8420i | −0.543496 | + | 0.742101i | ||||
\(401\) | 1.83273 | + | 8.02973i | 0.0915223 | + | 0.400985i | 0.999851 | − | 0.0172720i | \(-0.00549812\pi\) |
−0.908329 | + | 0.418257i | \(0.862641\pi\) | |||||||
\(402\) | −6.10976 | − | 10.7915i | −0.304727 | − | 0.538233i | ||||
\(403\) | −3.91879 | + | 0.441541i | −0.195209 | + | 0.0219947i | ||||
\(404\) | 23.6746 | − | 5.91759i | 1.17786 | − | 0.294411i | ||||
\(405\) | 0.505371 | + | 0.804294i | 0.0251121 | + | 0.0399657i | ||||
\(406\) | −9.64823 | − | 2.67263i | −0.478833 | − | 0.132640i | ||||
\(407\) | −0.202160 | + | 0.419790i | −0.0100207 | + | 0.0208082i | ||||
\(408\) | −8.20787 | + | 7.80279i | −0.406350 | + | 0.386296i | ||||
\(409\) | −3.81239 | + | 16.7032i | −0.188510 | + | 0.825918i | 0.788892 | + | 0.614532i | \(0.210655\pi\) |
−0.977403 | + | 0.211386i | \(0.932202\pi\) | |||||||
\(410\) | −3.09884 | + | 1.32102i | −0.153041 | + | 0.0652406i | ||||
\(411\) | −2.85041 | + | 8.14600i | −0.140600 | + | 0.401812i | ||||
\(412\) | 3.14052 | − | 34.1655i | 0.154722 | − | 1.68321i | ||||
\(413\) | −1.09286 | + | 0.123136i | −0.0537761 | + | 0.00605911i | ||||
\(414\) | 10.2174 | − | 14.7181i | 0.502160 | − | 0.723353i | ||||
\(415\) | −0.513650 | + | 0.247361i | −0.0252141 | + | 0.0121425i | ||||
\(416\) | −2.13153 | + | 9.13816i | −0.104507 | + | 0.448035i | ||||
\(417\) | −4.45816 | + | 3.55526i | −0.218317 | + | 0.174102i | ||||
\(418\) | −9.68056 | − | 32.3495i | −0.473492 | − | 1.58227i | ||||
\(419\) | 30.7296 | − | 10.7528i | 1.50124 | − | 0.525307i | 0.550376 | − | 0.834917i | \(-0.314484\pi\) |
0.950864 | + | 0.309610i | \(0.100198\pi\) | |||||||
\(420\) | 2.57206 | − | 4.28635i | 0.125504 | − | 0.209152i | ||||
\(421\) | 16.7860 | − | 5.87368i | 0.818100 | − | 0.286266i | 0.111397 | − | 0.993776i | \(-0.464467\pi\) |
0.706703 | + | 0.707510i | \(0.250182\pi\) | |||||||
\(422\) | −0.573069 | + | 12.4950i | −0.0278966 | + | 0.608249i | ||||
\(423\) | 4.30683 | 0.209405 | ||||||||
\(424\) | −5.22568 | + | 7.86761i | −0.253781 | + | 0.382085i | ||||
\(425\) | −12.2667 | + | 9.78235i | −0.595021 | + | 0.474514i | ||||
\(426\) | −4.50769 | + | 16.2728i | −0.218398 | + | 0.788422i | ||||
\(427\) | 0.191000 | + | 0.303974i | 0.00924312 | + | 0.0147103i | ||||
\(428\) | 15.6551 | + | 7.14686i | 0.756718 | + | 0.345457i | ||||
\(429\) | −5.24629 | − | 5.24629i | −0.253293 | − | 0.253293i | ||||
\(430\) | −2.88989 | + | 5.11059i | −0.139363 | + | 0.246455i | ||||
\(431\) | 23.2790i | 1.12131i | 0.828049 | + | 0.560655i | \(0.189451\pi\) | ||||
−0.828049 | + | 0.560655i | \(0.810549\pi\) | |||||||
\(432\) | 6.32037 | − | 20.7606i | 0.304089 | − | 0.998844i | ||||
\(433\) | 14.2592 | + | 3.25457i | 0.685255 | + | 0.156405i | 0.550954 | − | 0.834536i | \(-0.314264\pi\) |
0.134301 | + | 0.990941i | \(0.457121\pi\) | |||||||
\(434\) | −5.57182 | − | 9.84138i | −0.267456 | − | 0.472401i | ||||
\(435\) | −1.55403 | − | 0.175097i | −0.0745098 | − | 0.00839524i | ||||
\(436\) | −6.62740 | + | 8.66992i | −0.317395 | + | 0.415214i | ||||
\(437\) | −34.5955 | + | 34.5955i | −1.65493 | + | 1.65493i | ||||
\(438\) | 0.544898 | − | 11.8808i | 0.0260362 | − | 0.567687i | ||||
\(439\) | 28.7829 | + | 13.8611i | 1.37373 | + | 0.661555i | 0.967654 | − | 0.252282i | \(-0.0811811\pi\) |
0.406080 | + | 0.913837i | \(0.366895\pi\) | |||||||
\(440\) | 3.11537 | − | 6.07133i | 0.148519 | − | 0.289439i | ||||
\(441\) | −3.03703 | + | 6.30647i | −0.144621 | + | 0.300308i | ||||
\(442\) | −3.79892 | + | 7.04351i | −0.180696 | + | 0.335026i | ||||
\(443\) | 39.8945 | + | 4.49503i | 1.89544 | + | 0.213565i | 0.981389 | − | 0.192028i | \(-0.0615064\pi\) |
0.914054 | + | 0.405593i | \(0.132935\pi\) | |||||||
\(444\) | 0.268893 | − | 0.100334i | 0.0127611 | − | 0.00476163i | ||||
\(445\) | 1.48670 | − | 4.24875i | 0.0704764 | − | 0.201410i | ||||
\(446\) | 28.2326 | + | 19.5994i | 1.33685 | + | 0.928058i | ||||
\(447\) | −2.92370 | − | 2.33157i | −0.138286 | − | 0.110279i | ||||
\(448\) | −26.5039 | + | 4.65358i | −1.25219 | + | 0.219861i | ||||
\(449\) | −3.66351 | − | 7.60737i | −0.172892 | − | 0.359014i | 0.796460 | − | 0.604692i | \(-0.206704\pi\) |
−0.969351 | + | 0.245678i | \(0.920989\pi\) | |||||||
\(450\) | 3.93803 | − | 9.79039i | 0.185640 | − | 0.461523i | ||||
\(451\) | −12.1406 | + | 7.62843i | −0.571677 | + | 0.359209i | ||||
\(452\) | 33.5967 | + | 3.08824i | 1.58026 | + | 0.145258i | ||||
\(453\) | −5.12267 | − | 14.6398i | −0.240684 | − | 0.687836i | ||||
\(454\) | 6.83246 | + | 1.89264i | 0.320663 | + | 0.0888259i | ||||
\(455\) | 0.786034 | − | 3.44384i | 0.0368498 | − | 0.161450i | ||||
\(456\) | −9.49567 | + | 18.5055i | −0.444676 | + | 0.866599i | ||||
\(457\) | −12.3708 | + | 15.5125i | −0.578682 | + | 0.725644i | −0.981887 | − | 0.189465i | \(-0.939325\pi\) |
0.403205 | + | 0.915109i | \(0.367896\pi\) | |||||||
\(458\) | −9.51524 | + | 34.3502i | −0.444618 | + | 1.60508i | ||||
\(459\) | 9.84684 | − | 15.6712i | 0.459611 | − | 0.731467i | ||||
\(460\) | −9.88528 | + | 0.203038i | −0.460904 | + | 0.00946668i | ||||
\(461\) | −21.9600 | − | 13.7984i | −1.02278 | − | 0.642654i | −0.0873519 | − | 0.996178i | \(-0.527840\pi\) |
−0.935425 | + | 0.353524i | \(0.884983\pi\) | |||||||
\(462\) | 7.94003 | − | 19.7398i | 0.369404 | − | 0.918380i | ||||
\(463\) | 26.3729 | − | 33.0706i | 1.22565 | − | 1.53692i | 0.468848 | − | 0.883279i | \(-0.344669\pi\) |
0.756804 | − | 0.653641i | \(-0.226760\pi\) | |||||||
\(464\) | 4.76781 | + | 6.93820i | 0.221340 | + | 0.322098i | ||||
\(465\) | −1.10143 | − | 1.38115i | −0.0510776 | − | 0.0640493i | ||||
\(466\) | 1.21546 | + | 18.2870i | 0.0563051 | + | 0.847130i | ||||
\(467\) | 24.6074 | − | 24.6074i | 1.13869 | − | 1.13869i | 0.150008 | − | 0.988685i | \(-0.452070\pi\) |
0.988685 | − | 0.150008i | \(-0.0479300\pi\) | |||||||
\(468\) | −0.110530 | − | 5.38139i | −0.00510927 | − | 0.248755i | ||||
\(469\) | 8.30009 | − | 23.7203i | 0.383263 | − | 1.09530i | ||||
\(470\) | −1.39516 | − | 1.92412i | −0.0643538 | − | 0.0887528i | ||||
\(471\) | 1.68714 | + | 7.39186i | 0.0777395 | + | 0.340599i | ||||
\(472\) | 0.770333 | + | 0.511656i | 0.0354574 | + | 0.0235509i | ||||
\(473\) | −8.72385 | + | 23.4173i | −0.401123 | + | 1.07673i | ||||
\(474\) | 6.76457 | − | 7.72782i | 0.310707 | − | 0.354951i | ||||
\(475\) | −15.3311 | + | 24.3993i | −0.703438 | + | 1.11951i | ||||
\(476\) | −22.8533 | − | 2.10069i | −1.04748 | − | 0.0962852i | ||||
\(477\) | 1.78938 | − | 5.11376i | 0.0819302 | − | 0.234143i | ||||
\(478\) | −19.3050 | − | 21.1609i | −0.882988 | − | 0.967876i | ||||
\(479\) | − | 13.0485i | − | 0.596202i | −0.954534 | − | 0.298101i | \(-0.903647\pi\) | ||
0.954534 | − | 0.298101i | \(-0.0963532\pi\) | |||||||
\(480\) | −3.97407 | + | 1.36940i | −0.181391 | + | 0.0625041i | ||||
\(481\) | 0.158563 | − | 0.126449i | 0.00722983 | − | 0.00576560i | ||||
\(482\) | 14.2714 | + | 5.74045i | 0.650046 | + | 0.261470i | ||||
\(483\) | −30.6346 | + | 3.45169i | −1.39392 | + | 0.157057i | ||||
\(484\) | 2.18988 | − | 6.69637i | 0.0995402 | − | 0.304381i | ||||
\(485\) | 6.43249 | + | 4.04180i | 0.292084 | + | 0.183529i | ||||
\(486\) | −0.940471 | + | 20.5058i | −0.0426606 | + | 0.930161i | ||||
\(487\) | 3.56242 | + | 15.6080i | 0.161428 | + | 0.707264i | 0.989245 | + | 0.146266i | \(0.0467255\pi\) |
−0.827817 | + | 0.560998i | \(0.810417\pi\) | |||||||
\(488\) | 0.0413755 | − | 0.299026i | 0.00187298 | − | 0.0135362i | ||||
\(489\) | −18.6180 | − | 14.8474i | −0.841936 | − | 0.671421i | ||||
\(490\) | 3.80129 | − | 0.686097i | 0.171725 | − | 0.0309947i | ||||
\(491\) | −14.9860 | + | 9.41633i | −0.676309 | + | 0.424953i | −0.825916 | − | 0.563793i | \(-0.809342\pi\) |
0.149608 | + | 0.988745i | \(0.452199\pi\) | |||||||
\(492\) | 8.64912 | + | 1.78807i | 0.389932 | + | 0.0806126i | ||||
\(493\) | 2.37130 | + | 6.77678i | 0.106798 | + | 0.305211i | ||||
\(494\) | −2.31308 | + | 14.5148i | −0.104070 | + | 0.653051i | ||||
\(495\) | −0.871026 | + | 3.81621i | −0.0391497 | + | 0.171526i | ||||
\(496\) | −1.73362 | + | 9.35027i | −0.0778417 | + | 0.419839i | ||||
\(497\) | −30.8298 | + | 14.8468i | −1.38290 | + | 0.665971i | ||||
\(498\) | 1.47609 | + | 0.235231i | 0.0661453 | + | 0.0105409i | ||||
\(499\) | 2.49085 | + | 22.1069i | 0.111506 | + | 0.989641i | 0.917505 | + | 0.397725i | \(0.130200\pi\) |
−0.805999 | + | 0.591917i | \(0.798371\pi\) | |||||||
\(500\) | −11.7916 | + | 2.94737i | −0.527338 | + | 0.131810i | ||||
\(501\) | −2.98207 | + | 8.52227i | −0.133229 | + | 0.380747i | ||||
\(502\) | −17.5211 | + | 32.4856i | −0.782006 | + | 1.44990i | ||||
\(503\) | −4.71094 | + | 3.75685i | −0.210051 | + | 0.167510i | −0.722864 | − | 0.690990i | \(-0.757175\pi\) |
0.512813 | + | 0.858500i | \(0.328603\pi\) | |||||||
\(504\) | 14.0720 | − | 6.34341i | 0.626818 | − | 0.282558i | ||||
\(505\) | 6.95972 | + | 3.35163i | 0.309704 | + | 0.149145i | ||||
\(506\) | −41.4151 | + | 7.47503i | −1.84113 | + | 0.332306i | ||||
\(507\) | −3.97279 | − | 11.3536i | −0.176438 | − | 0.504230i | ||||
\(508\) | −24.0404 | + | 25.0487i | −1.06662 | + | 1.11135i | ||||
\(509\) | 19.1338 | − | 19.1338i | 0.848090 | − | 0.848090i | −0.141805 | − | 0.989895i | \(-0.545291\pi\) |
0.989895 | + | 0.141805i | \(0.0452906\pi\) | |||||||
\(510\) | −3.57697 | + | 0.237746i | −0.158391 | + | 0.0105276i | ||||
\(511\) | 18.8433 | − | 15.0271i | 0.833580 | − | 0.664758i | ||||
\(512\) | 19.5836 | + | 11.3350i | 0.865482 | + | 0.500940i | ||||
\(513\) | 7.56399 | − | 33.1400i | 0.333958 | − | 1.46317i | ||||
\(514\) | 9.99458 | + | 33.3989i | 0.440842 | + | 1.47316i | ||||
\(515\) | 7.67960 | − | 7.67960i | 0.338404 | − | 0.338404i | ||||
\(516\) | 13.8650 | − | 6.68600i | 0.610373 | − | 0.294335i | ||||
\(517\) | −7.15316 | − | 7.15316i | −0.314596 | − | 0.314596i | ||||
\(518\) | 0.511896 | + | 0.276092i | 0.0224914 | + | 0.0121308i | ||||
\(519\) | 21.6960 | + | 4.95198i | 0.952350 | + | 0.217368i | ||||
\(520\) | −2.36838 | + | 1.79263i | −0.103860 | + | 0.0786120i | ||||
\(521\) | −10.4411 | − | 13.0927i | −0.457433 | − | 0.573603i | 0.498611 | − | 0.866826i | \(-0.333844\pi\) |
−0.956044 | + | 0.293223i | \(0.905272\pi\) | |||||||
\(522\) | −3.63354 | − | 3.18063i | −0.159036 | − | 0.139213i | ||||
\(523\) | 31.7832 | + | 31.7832i | 1.38978 | + | 1.38978i | 0.825762 | + | 0.564018i | \(0.190745\pi\) |
0.564018 | + | 0.825762i | \(0.309255\pi\) | |||||||
\(524\) | −6.86876 | + | 0.141080i | −0.300063 | + | 0.00616311i | ||||
\(525\) | −17.1384 | + | 5.99697i | −0.747979 | + | 0.261729i | ||||
\(526\) | 2.93377 | − | 4.22604i | 0.127918 | − | 0.184264i | ||||
\(527\) | −3.51892 | + | 7.30711i | −0.153286 | + | 0.318303i | ||||
\(528\) | −15.7871 | + | 8.41803i | −0.687044 | + | 0.366348i | ||||
\(529\) | 23.6780 | + | 29.6913i | 1.02948 | + | 1.29093i | ||||
\(530\) | −2.86428 | + | 0.857132i | −0.124416 | + | 0.0372314i | ||||
\(531\) | −0.500698 | − | 0.175202i | −0.0217284 | − | 0.00760311i | ||||
\(532\) | −40.8919 | + | 10.2211i | −1.77289 | + | 0.443141i | ||||
\(533\) | 6.20187 | − | 0.698783i | 0.268633 | − | 0.0302676i | ||||
\(534\) | −9.55437 | + | 6.92778i | −0.413458 | + | 0.299794i | ||||
\(535\) | 2.36361 | + | 4.90808i | 0.102188 | + | 0.212195i | ||||
\(536\) | −18.1713 | + | 10.7866i | −0.784881 | + | 0.465909i | ||||
\(537\) | −13.2602 | − | 3.02655i | −0.572220 | − | 0.130605i | ||||
\(538\) | 24.9950 | − | 18.1236i | 1.07761 | − | 0.781365i | ||||
\(539\) | 15.5185 | − | 5.43016i | 0.668430 | − | 0.233894i | ||||
\(540\) | 5.74030 | − | 3.77347i | 0.247023 | − | 0.162384i | ||||
\(541\) | 16.7924 | + | 26.7249i | 0.721961 | + | 1.14899i | 0.982989 | + | 0.183663i | \(0.0587955\pi\) |
−0.261029 | + | 0.965331i | \(0.584062\pi\) | |||||||
\(542\) | 12.0423 | − | 17.3468i | 0.517262 | − | 0.745107i | ||||
\(543\) | 4.35086 | − | 5.45581i | 0.186713 | − | 0.234131i | ||||
\(544\) | 13.5805 | + | 13.7104i | 0.582259 | + | 0.587827i | ||||
\(545\) | −3.36782 | + | 0.768683i | −0.144262 | + | 0.0329268i | ||||
\(546\) | −6.84189 | + | 6.24182i | −0.292806 | + | 0.267125i | ||||
\(547\) | 22.0669 | − | 35.1193i | 0.943513 | − | 1.50159i | 0.0802888 | − | 0.996772i | \(-0.474416\pi\) |
0.863224 | − | 0.504821i | \(-0.168441\pi\) | |||||||
\(548\) | 13.9777 | + | 4.57108i | 0.597099 | + | 0.195267i | ||||
\(549\) | 0.0193878 | + | 0.172072i | 0.000827453 | + | 0.00734385i | ||||
\(550\) | −22.8014 | + | 9.72012i | −0.972254 | + | 0.414467i | ||||
\(551\) | 8.22158 | + | 10.3095i | 0.350251 | + | 0.439201i | ||||
\(552\) | 21.5936 | + | 14.3425i | 0.919086 | + | 0.610458i | ||||
\(553\) | 20.8125 | 0.885039 | ||||||||
\(554\) | −0.381068 | + | 8.30870i | −0.0161900 | + | 0.353003i | ||||
\(555\) | 0.0857517 | + | 0.0300058i | 0.00363995 | + | 0.00127368i | ||||
\(556\) | 6.21296 | + | 7.47078i | 0.263488 | + | 0.316832i | ||||
\(557\) | −15.2610 | − | 9.58914i | −0.646630 | − | 0.406305i | 0.168403 | − | 0.985718i | \(-0.446139\pi\) |
−0.815034 | + | 0.579413i | \(0.803282\pi\) | |||||||
\(558\) | −0.361765 | − | 5.44288i | −0.0153147 | − | 0.230416i | ||||
\(559\) | 7.84380 | − | 7.53598i | 0.331757 | − | 0.318738i | ||||
\(560\) | −7.39248 | − | 4.23192i | −0.312389 | − | 0.178831i | ||||
\(561\) | −14.8759 | + | 3.39533i | −0.628062 | + | 0.143351i | ||||
\(562\) | 4.72118 | − | 29.6258i | 0.199151 | − | 1.24969i | ||||
\(563\) | 18.2302 | + | 6.37904i | 0.768313 | + | 0.268844i | 0.685843 | − | 0.727749i | \(-0.259434\pi\) |
0.0824696 | + | 0.996594i | \(0.473719\pi\) | |||||||
\(564\) | 0.127959 | + | 6.22994i | 0.00538805 | + | 0.262328i | ||||
\(565\) | 7.55175 | + | 7.55175i | 0.317705 | + | 0.317705i | ||||
\(566\) | −27.3617 | − | 23.9512i | −1.15010 | − | 1.00674i | ||||
\(567\) | 3.94576 | − | 3.14664i | 0.165706 | − | 0.132146i | ||||
\(568\) | 27.8811 | + | 7.11015i | 1.16987 | + | 0.298335i | ||||
\(569\) | −23.1418 | − | 18.4550i | −0.970154 | − | 0.773672i | 0.00389854 | − | 0.999992i | \(-0.498759\pi\) |
−0.974053 | + | 0.226320i | \(0.927330\pi\) | |||||||
\(570\) | −6.05667 | + | 2.58193i | −0.253686 | + | 0.108145i | ||||
\(571\) | −12.3629 | + | 19.6755i | −0.517373 | + | 0.823394i | −0.998583 | − | 0.0532112i | \(-0.983054\pi\) |
0.481211 | + | 0.876605i | \(0.340197\pi\) | |||||||
\(572\) | −8.75431 | + | 9.12146i | −0.366036 | + | 0.381388i | ||||
\(573\) | −26.2163 | − | 16.4728i | −1.09520 | − | 0.688160i | ||||
\(574\) | 8.81795 | + | 15.5750i | 0.368054 | + | 0.650086i | ||||
\(575\) | 28.0787 | + | 22.3920i | 1.17096 | + | 0.933810i | ||||
\(576\) | −12.4918 | − | 3.52441i | −0.520493 | − | 0.146851i | ||||
\(577\) | −3.81876 | − | 0.871608i | −0.158977 | − | 0.0362855i | 0.142291 | − | 0.989825i | \(-0.454553\pi\) |
−0.301269 | + | 0.953539i | \(0.597410\pi\) | |||||||
\(578\) | −3.73625 | − | 6.59926i | −0.155408 | − | 0.274493i | ||||
\(579\) | −4.27064 | + | 1.49436i | −0.177482 | + | 0.0621035i | ||||
\(580\) | −0.243926 | + | 2.65366i | −0.0101285 | + | 0.110187i | ||||
\(581\) | 1.61154 | + | 2.56475i | 0.0668578 | + | 0.106404i | ||||
\(582\) | −7.81072 | − | 18.3223i | −0.323765 | − | 0.759484i | ||||
\(583\) | −11.4654 | + | 5.52143i | −0.474847 | + | 0.228674i | ||||
\(584\) | −20.2599 | − | 0.512586i | −0.838360 | − | 0.0212110i | ||||
\(585\) | 1.06232 | − | 1.33210i | 0.0439214 | − | 0.0550757i | ||||
\(586\) | −2.02668 | − | 11.2288i | −0.0837215 | − | 0.463856i | ||||
\(587\) | −22.0323 | − | 7.70943i | −0.909369 | − | 0.318202i | −0.165252 | − | 0.986251i | \(-0.552844\pi\) |
−0.744117 | + | 0.668049i | \(0.767130\pi\) | |||||||
\(588\) | −9.21271 | − | 4.20578i | −0.379926 | − | 0.173444i | ||||
\(589\) | −1.66777 | + | 14.8019i | −0.0687194 | + | 0.609901i | ||||
\(590\) | 0.0839234 | + | 0.280447i | 0.00345507 | + | 0.0115458i | ||||
\(591\) | −10.1150 | − | 4.87111i | −0.416074 | − | 0.200370i | ||||
\(592\) | −0.180344 | − | 0.454591i | −0.00741207 | − | 0.0186836i | ||||
\(593\) | 9.18535 | − | 19.0736i | 0.377197 | − | 0.783258i | −0.622802 | − | 0.782379i | \(-0.714006\pi\) |
1.00000 | 0.000878949i | \(-0.000279778\pi\) | ||||||||
\(594\) | 21.6008 | − | 19.7063i | 0.886290 | − | 0.808558i | ||||
\(595\) | −5.13689 | − | 5.13689i | −0.210592 | − | 0.210592i | ||||
\(596\) | −3.86989 | + | 5.06257i | −0.158517 | + | 0.207371i | ||||
\(597\) | −2.78966 | + | 24.7589i | −0.114173 | + | 1.01332i | ||||
\(598\) | 17.6535 | + | 4.89014i | 0.721905 | + | 0.199973i | ||||
\(599\) | 4.88077 | − | 21.3840i | 0.199423 | − | 0.873728i | −0.771859 | − | 0.635794i | \(-0.780673\pi\) |
0.971281 | − | 0.237934i | \(-0.0764701\pi\) | |||||||
\(600\) | 14.2791 | + | 5.40558i | 0.582940 | + | 0.220682i | ||||
\(601\) | −12.9068 | −0.526480 | −0.263240 | − | 0.964730i | \(-0.584791\pi\) | ||||
−0.263240 | + | 0.964730i | \(0.584791\pi\) | |||||||
\(602\) | 28.7013 | + | 12.2174i | 1.16978 | + | 0.497945i | ||||
\(603\) | 8.57119 | − | 8.57119i | 0.349046 | − | 0.349046i | ||||
\(604\) | −24.7619 | + | 9.23956i | −1.00755 | + | 0.375952i | ||||
\(605\) | 1.88836 | − | 1.18653i | 0.0767726 | − | 0.0482394i | ||||
\(606\) | −9.97813 | − | 17.6242i | −0.405334 | − | 0.715932i | ||||
\(607\) | 27.6435 | + | 34.6639i | 1.12202 | + | 1.40696i | 0.902144 | + | 0.431436i | \(0.141993\pi\) |
0.219873 | + | 0.975529i | \(0.429436\pi\) | |||||||
\(608\) | 31.8593 | + | 15.5298i | 1.29207 | + | 0.629818i | ||||
\(609\) | 8.30887i | 0.336693i | ||||||||
\(610\) | 0.0705942 | − | 0.0644028i | 0.00285828 | − | 0.00260759i | ||||
\(611\) | 1.45432 | + | 4.15620i | 0.0588353 | + | 0.168142i | ||||
\(612\) | −9.49182 | − | 5.69565i | −0.383684 | − | 0.230233i | ||||
\(613\) | 2.53975 | + | 7.25818i | 0.102579 | + | 0.293155i | 0.983722 | − | 0.179695i | \(-0.0575110\pi\) |
−0.881143 | + | 0.472850i | \(0.843225\pi\) | |||||||
\(614\) | −30.8461 | − | 16.6369i | −1.24485 | − | 0.671410i | ||||
\(615\) | 1.74312 | + | 2.18581i | 0.0702895 | + | 0.0881403i | ||||
\(616\) | −33.9078 | − | 12.8364i | −1.36618 | − | 0.517192i | ||||
\(617\) | 0.622133 | + | 1.29187i | 0.0250461 | + | 0.0520088i | 0.913117 | − | 0.407699i | \(-0.133669\pi\) |
−0.888070 | + | 0.459707i | \(0.847954\pi\) | |||||||
\(618\) | −28.0217 | + | 5.05764i | −1.12720 | + | 0.203448i | ||||
\(619\) | 0.318166 | + | 2.82380i | 0.0127882 | + | 0.113498i | 0.998485 | − | 0.0550327i | \(-0.0175263\pi\) |
−0.985696 | + | 0.168531i | \(0.946098\pi\) | |||||||
\(620\) | −2.31447 | + | 1.92479i | −0.0929513 | + | 0.0773015i | ||||
\(621\) | −39.9877 | − | 13.9923i | −1.60465 | − | 0.561492i | ||||
\(622\) | −4.91982 | + | 12.2312i | −0.197267 | + | 0.490428i | ||||
\(623\) | −23.3163 | − | 5.32180i | −0.934148 | − | 0.213213i | ||||
\(624\) | 7.78103 | − | 0.319770i | 0.311491 | − | 0.0128011i | ||||
\(625\) | 17.2522 | + | 8.30823i | 0.690088 | + | 0.332329i | ||||
\(626\) | −2.99001 | − | 5.28119i | −0.119505 | − | 0.211079i | ||||
\(627\) | −23.7287 | + | 14.9097i | −0.947634 | + | 0.595438i | ||||
\(628\) | 12.5342 | − | 3.13297i | 0.500168 | − | 0.125019i | ||||
\(629\) | −0.0466995 | − | 0.414469i | −0.00186203 | − | 0.0165260i | ||||
\(630\) | 4.70881 | + | 1.30437i | 0.187604 | + | 0.0519675i | ||||
\(631\) | −21.7710 | + | 4.96910i | −0.866691 | + | 0.197817i | −0.632676 | − | 0.774416i | \(-0.718044\pi\) |
−0.234015 | + | 0.972233i | \(0.575186\pi\) | |||||||
\(632\) | −13.4023 | − | 11.2541i | −0.533114 | − | 0.447665i | ||||
\(633\) | 10.1206 | − | 2.30997i | 0.402259 | − | 0.0918129i | ||||
\(634\) | −11.5381 | − | 27.0660i | −0.458237 | − | 1.07493i | ||||
\(635\) | −10.9210 | + | 1.23050i | −0.433385 | + | 0.0488308i | ||||
\(636\) | 7.45036 | + | 2.43646i | 0.295426 | + | 0.0966118i | ||||
\(637\) | −7.11143 | − | 0.801266i | −0.281765 | − | 0.0317473i | ||||
\(638\) | 0.752232 | + | 11.3176i | 0.0297812 | + | 0.448068i | ||||
\(639\) | −16.5050 | −0.652926 | ||||||||
\(640\) | 2.47205 | + | 6.72254i | 0.0977162 | + | 0.265732i | ||||
\(641\) | −12.8137 | − | 26.6079i | −0.506110 | − | 1.05095i | −0.984917 | − | 0.173028i | \(-0.944645\pi\) |
0.478807 | − | 0.877920i | \(-0.341069\pi\) | |||||||
\(642\) | 2.24770 | − | 14.1045i | 0.0887096 | − | 0.556661i | ||||
\(643\) | −22.8690 | + | 36.3958i | −0.901865 | + | 1.43531i | −0.00158446 | + | 0.999999i | \(0.500504\pi\) |
−0.900280 | + | 0.435311i | \(0.856639\pi\) | |||||||
\(644\) | 6.95246 | + | 52.0701i | 0.273965 | + | 2.05185i | ||||
\(645\) | 4.72777 | + | 1.17909i | 0.186156 | + | 0.0464267i | ||||
\(646\) | 22.7444 | + | 19.9094i | 0.894868 | + | 0.783326i | ||||
\(647\) | −43.1801 | + | 9.85559i | −1.69759 | + | 0.387463i | −0.958263 | − | 0.285887i | \(-0.907712\pi\) |
−0.739323 | + | 0.673350i | \(0.764855\pi\) | |||||||
\(648\) | −4.24238 | − | 0.107335i | −0.166657 | − | 0.00421650i | ||||
\(649\) | 0.540613 | + | 1.12259i | 0.0212209 | + | 0.0440657i | ||||
\(650\) | 10.7777 | + | 0.494308i | 0.422738 | + | 0.0193884i | ||||
\(651\) | −6.63678 | + | 6.63678i | −0.260116 | + | 0.260116i | ||||
\(652\) | −24.6434 | + | 32.2383i | −0.965109 | + | 1.26255i | ||||
\(653\) | 2.81460 | − | 24.9803i | 0.110144 | − | 0.977555i | −0.810122 | − | 0.586261i | \(-0.800599\pi\) |
0.920266 | − | 0.391293i | \(-0.127972\pi\) | |||||||
\(654\) | 8.40261 | + | 3.37982i | 0.328568 | + | 0.132161i | ||||
\(655\) | −1.70029 | − | 1.35593i | −0.0664357 | − | 0.0529807i | ||||
\(656\) | 2.74362 | − | 14.7977i | 0.107120 | − | 0.577754i | ||||
\(657\) | 11.3337 | − | 2.58684i | 0.442169 | − | 0.100922i | ||||
\(658\) | −9.32872 | + | 8.51054i | −0.363671 | + | 0.331776i | ||||
\(659\) | 2.85304 | − | 4.54059i | 0.111139 | − | 0.176876i | −0.786524 | − | 0.617560i | \(-0.788121\pi\) |
0.897662 | + | 0.440684i | \(0.145264\pi\) | |||||||
\(660\) | −5.54613 | − | 1.14658i | −0.215883 | − | 0.0446305i | ||||
\(661\) | −29.4198 | + | 3.31482i | −1.14430 | + | 0.128932i | −0.663693 | − | 0.748005i | \(-0.731012\pi\) |
−0.480606 | + | 0.876937i | \(0.659583\pi\) | |||||||
\(662\) | 5.69423 | + | 31.5487i | 0.221313 | + | 1.22617i | ||||
\(663\) | 6.47513 | + | 1.47791i | 0.251473 | + | 0.0573972i | ||||
\(664\) | 0.349101 | − | 2.52299i | 0.0135477 | − | 0.0979110i | ||||
\(665\) | −12.0211 | − | 5.78907i | −0.466160 | − | 0.224491i | ||||
\(666\) | 0.164676 | + | 0.227112i | 0.00638108 | + | 0.00880041i | ||||
\(667\) | 13.9154 | − | 8.74364i | 0.538808 | − | 0.338555i | ||||
\(668\) | 14.6234 | + | 4.78222i | 0.565796 | + | 0.185030i | ||||
\(669\) | 9.42077 | − | 26.9230i | 0.364228 | − | 1.04090i | ||||
\(670\) | −6.60582 | − | 1.05270i | −0.255205 | − | 0.0406695i | ||||
\(671\) | 0.253591 | − | 0.317993i | 0.00978978 | − | 0.0122760i | ||||
\(672\) | 9.59400 | + | 20.1671i | 0.370097 | + | 0.777962i | ||||
\(673\) | −20.1046 | − | 41.7477i | −0.774976 | − | 1.60925i | −0.792852 | − | 0.609415i | \(-0.791404\pi\) |
0.0178754 | − | 0.999840i | \(-0.494310\pi\) | |||||||
\(674\) | −45.4502 | + | 13.6009i | −1.75068 | + | 0.523888i | ||||
\(675\) | −24.7953 | − | 2.79376i | −0.954370 | − | 0.107532i | ||||
\(676\) | −19.2036 | + | 7.16556i | −0.738600 | + | 0.275599i | ||||
\(677\) | −7.23162 | + | 2.53045i | −0.277934 | + | 0.0972532i | −0.465647 | − | 0.884971i | \(-0.654178\pi\) |
0.187713 | + | 0.982224i | \(0.439893\pi\) | |||||||
\(678\) | −4.97345 | − | 27.5552i | −0.191004 | − | 1.05825i | ||||
\(679\) | 17.5128 | − | 36.3657i | 0.672079 | − | 1.39559i | ||||
\(680\) | 0.530203 | + | 6.08561i | 0.0203324 | + | 0.233373i | ||||
\(681\) | − | 5.88399i | − | 0.225475i | ||||||
\(682\) | −8.43917 | + | 9.64087i | −0.323152 | + | 0.369168i | ||||
\(683\) | −11.1135 | − | 1.25219i | −0.425245 | − | 0.0479136i | −0.103251 | − | 0.994655i | \(-0.532924\pi\) |
−0.321994 | + | 0.946742i | \(0.604353\pi\) | |||||||
\(684\) | −19.9096 | − | 4.11601i | −0.761264 | − | 0.157380i | ||||
\(685\) | 2.47672 | + | 3.94168i | 0.0946306 | + | 0.150604i | ||||
\(686\) | 3.66267 | + | 12.2395i | 0.139841 | + | 0.467308i | ||||
\(687\) | 29.5817 | 1.12861 | ||||||||
\(688\) | −11.8758 | − | 23.3873i | −0.452761 | − | 0.891632i | ||||
\(689\) | 5.53914 | 0.211025 | ||||||||
\(690\) | 2.35250 | + | 7.86136i | 0.0895583 | + | 0.299277i | ||||
\(691\) | −7.64131 | − | 12.1611i | −0.290689 | − | 0.462629i | 0.669171 | − | 0.743109i | \(-0.266649\pi\) |
−0.959860 | + | 0.280479i | \(0.909507\pi\) | |||||||
\(692\) | 7.67729 | − | 37.1359i | 0.291847 | − | 1.41170i | ||||
\(693\) | 20.6664 | + | 2.32855i | 0.785052 | + | 0.0884542i | ||||
\(694\) | −7.21068 | + | 8.23745i | −0.273714 | + | 0.312689i | ||||
\(695\) | 3.07578i | 0.116671i | ||||||||
\(696\) | 4.49292 | − | 5.35052i | 0.170304 | − | 0.202811i | ||||
\(697\) | 5.56903 | − | 11.5642i | 0.210942 | − | 0.438026i | ||||
\(698\) | −4.98316 | − | 27.6090i | −0.188615 | − | 1.04502i | ||||
\(699\) | 14.3569 | − | 5.02368i | 0.543026 | − | 0.190013i | ||||
\(700\) | 10.8165 | + | 28.9881i | 0.408825 | + | 1.09565i | ||||
\(701\) | 2.47896 | + | 0.279311i | 0.0936289 | + | 0.0105494i | 0.158655 | − | 0.987334i | \(-0.449284\pi\) |
−0.0650257 | + | 0.997884i | \(0.520713\pi\) | |||||||
\(702\) | −12.1929 | + | 3.64871i | −0.460190 | + | 0.137711i | ||||
\(703\) | −0.332373 | − | 0.690180i | −0.0125357 | − | 0.0260306i | ||||
\(704\) | 14.8939 | + | 26.6012i | 0.561334 | + | 1.00257i | ||||
\(705\) | −1.22983 | + | 1.54215i | −0.0463179 | + | 0.0580808i | ||||
\(706\) | −17.6131 | − | 2.80682i | −0.662877 | − | 0.105636i | ||||
\(707\) | 13.5553 | − | 38.7387i | 0.509798 | − | 1.45692i | ||||
\(708\) | 0.238558 | − | 0.729479i | 0.00896556 | − | 0.0274155i | ||||
\(709\) | 21.2938 | − | 13.3798i | 0.799704 | − | 0.502487i | −0.0691201 | − | 0.997608i | \(-0.522019\pi\) |
0.868824 | + | 0.495121i | \(0.164876\pi\) | |||||||
\(710\) | 5.34663 | + | 7.37375i | 0.200655 | + | 0.276732i | ||||
\(711\) | 9.04460 | + | 4.35565i | 0.339199 | + | 0.163350i | ||||
\(712\) | 12.1369 | + | 16.0350i | 0.454849 | + | 0.600936i | ||||
\(713\) | 18.0991 | + | 4.13101i | 0.677817 | + | 0.154707i | ||||
\(714\) | 3.38306 | + | 18.7437i | 0.126608 | + | 0.701466i | ||||
\(715\) | −3.97687 | + | 0.448085i | −0.148726 | + | 0.0167574i | ||||
\(716\) | −4.69221 | + | 22.6968i | −0.175356 | + | 0.848218i | ||||
\(717\) | −12.6476 | + | 20.1286i | −0.472334 | + | 0.751715i | ||||
\(718\) | 17.2513 | − | 15.7383i | 0.643814 | − | 0.587349i | ||||
\(719\) | 22.0577 | − | 5.03452i | 0.822612 | − | 0.187756i | 0.209557 | − | 0.977796i | \(-0.432798\pi\) |
0.613055 | + | 0.790041i | \(0.289941\pi\) | |||||||
\(720\) | −2.32693 | − | 3.38618i | −0.0867194 | − | 0.126196i | ||||
\(721\) | −45.1140 | − | 35.9772i | −1.68013 | − | 1.33986i | ||||
\(722\) | 26.5769 | + | 10.6902i | 0.989092 | + | 0.397846i | ||||
\(723\) | 1.42940 | − | 12.6862i | 0.0531598 | − | 0.471806i | ||||
\(724\) | −9.44709 | − | 7.22148i | −0.351098 | − | 0.268384i | ||||
\(725\) | 6.84446 | − | 6.84446i | 0.254197 | − | 0.254197i | ||||
\(726\) | −5.84100 | − | 0.267890i | −0.216780 | − | 0.00994234i | ||||
\(727\) | −10.4471 | − | 21.6937i | −0.387463 | − | 0.804576i | −0.999901 | − | 0.0140570i | \(-0.995525\pi\) |
0.612438 | − | 0.790519i | \(-0.290189\pi\) | |||||||
\(728\) | 10.8733 | + | 11.4378i | 0.402993 | + | 0.423914i | ||||
\(729\) | 20.9974 | − | 4.79252i | 0.777681 | − | 0.177501i | ||||
\(730\) | −4.82714 | − | 4.22545i | −0.178660 | − | 0.156391i | ||||
\(731\) | −4.54039 | − | 21.9044i | −0.167932 | − | 0.810164i | ||||
\(732\) | −0.248330 | + | 0.0331574i | −0.00917856 | + | 0.00122553i | ||||
\(733\) | 3.39350 | − | 5.40073i | 0.125342 | − | 0.199480i | −0.778158 | − | 0.628068i | \(-0.783846\pi\) |
0.903500 | + | 0.428588i | \(0.140989\pi\) | |||||||
\(734\) | −3.45086 | + | 21.6544i | −0.127373 | + | 0.799280i | ||||
\(735\) | −1.39093 | − | 2.88831i | −0.0513054 | − | 0.106537i | ||||
\(736\) | 23.6792 | − | 37.2901i | 0.872825 | − | 1.37453i | ||||
\(737\) | −28.4716 | −1.04876 | ||||||||
\(738\) | 0.572529 | + | 8.61389i | 0.0210751 | + | 0.317082i | ||||
\(739\) | 15.6885 | + | 1.76767i | 0.577111 | + | 0.0650248i | 0.395695 | − | 0.918382i | \(-0.370504\pi\) |
0.181415 | + | 0.983407i | \(0.441932\pi\) | |||||||
\(740\) | 0.0481190 | − | 0.147142i | 0.00176889 | − | 0.00540903i | ||||
\(741\) | 12.1215 | − | 1.36577i | 0.445296 | − | 0.0501728i | ||||
\(742\) | 6.22924 | + | 14.6125i | 0.228683 | + | 0.536442i | ||||
\(743\) | 23.5197 | − | 5.36822i | 0.862855 | − | 0.196941i | 0.231880 | − | 0.972744i | \(-0.425512\pi\) |
0.630975 | + | 0.775803i | \(0.282655\pi\) | |||||||
\(744\) | 7.86252 | − | 0.685015i | 0.288254 | − | 0.0251139i | ||||
\(745\) | −1.96655 | + | 0.448852i | −0.0720488 | + | 0.0164447i | ||||
\(746\) | −5.84216 | − | 1.61832i | −0.213897 | − | 0.0592509i | ||||
\(747\) | 0.163583 | + | 1.45183i | 0.00598517 | + | 0.0531199i | ||||
\(748\) | 6.30503 | + | 25.2247i | 0.230535 | + | 0.922306i | ||||
\(749\) | 24.5069 | − | 15.3987i | 0.895463 | − | 0.562657i | ||||
\(750\) | 4.96981 | + | 8.77806i | 0.181472 | + | 0.320529i | ||||
\(751\) | 28.9211 | + | 13.9277i | 1.05534 | + | 0.508227i | 0.879356 | − | 0.476165i | \(-0.157973\pi\) |
0.175989 | + | 0.984392i | \(0.443688\pi\) | |||||||
\(752\) | 10.6092 | − | 0.435997i | 0.386878 | − | 0.0158992i | ||||
\(753\) | 29.8641 | + | 6.81629i | 1.08831 | + | 0.248399i | ||||
\(754\) | 1.84243 | − | 4.58049i | 0.0670973 | − | 0.166811i | ||||
\(755\) | −7.89672 | − | 2.76318i | −0.287391 | − | 0.100563i | ||||
\(756\) | −23.3374 | − | 28.0620i | −0.848772 | − | 1.02061i | ||||
\(757\) | −1.91503 | − | 16.9964i | −0.0696029 | − | 0.617743i | −0.979292 | − | 0.202453i | \(-0.935109\pi\) |
0.909689 | − | 0.415290i | \(-0.136320\pi\) | |||||||
\(758\) | 4.77134 | − | 0.861181i | 0.173303 | − | 0.0312795i | ||||
\(759\) | 15.1542 | + | 31.4681i | 0.550064 | + | 1.14222i | ||||
\(760\) | 4.61067 | + | 10.2282i | 0.167246 | + | 0.371014i | ||||
\(761\) | 22.8012 | + | 28.5918i | 0.826542 | + | 1.03645i | 0.998679 | + | 0.0513782i | \(0.0163614\pi\) |
−0.172137 | + | 0.985073i | \(0.555067\pi\) | |||||||
\(762\) | 25.3604 | + | 13.6781i | 0.918710 | + | 0.495507i | ||||
\(763\) | 6.06181 | + | 17.3237i | 0.219452 | + | 0.627158i | ||||
\(764\) | −27.1466 | + | 45.2400i | −0.982130 | + | 1.63673i | ||||
\(765\) | −1.15731 | − | 3.30741i | −0.0418427 | − | 0.119580i | ||||
\(766\) | 9.26563 | − | 8.45298i | 0.334781 | − | 0.305419i | ||||
\(767\) | − | 0.542348i | − | 0.0195830i | ||||||
\(768\) | 4.72702 | − | 18.1745i | 0.170571 | − | 0.655815i | ||||
\(769\) | −23.0580 | − | 28.9138i | −0.831491 | − | 1.04266i | −0.998392 | − | 0.0566831i | \(-0.981948\pi\) |
0.166901 | − | 0.985974i | \(-0.446624\pi\) | |||||||
\(770\) | −5.65439 | − | 9.98723i | −0.203770 | − | 0.359915i | ||||
\(771\) | 24.4984 | − | 15.3934i | 0.882289 | − | 0.554379i | ||||
\(772\) | 2.69532 | + | 7.22342i | 0.0970067 | + | 0.259977i | ||||
\(773\) | −34.5838 | + | 34.5838i | −1.24389 | + | 1.24389i | −0.285522 | + | 0.958372i | \(0.592167\pi\) |
−0.958372 | + | 0.285522i | \(0.907833\pi\) | |||||||
\(774\) | 9.91597 | + | 11.3160i | 0.356422 | + | 0.406745i | ||||
\(775\) | 10.9341 | 0.392766 | ||||||||
\(776\) | −30.9417 | + | 13.9479i | −1.11074 | + | 0.500702i | ||||
\(777\) | 0.107409 | − | 0.470588i | 0.00385327 | − | 0.0168823i | ||||
\(778\) | 35.4558 | + | 9.82150i | 1.27115 | + | 0.352118i | ||||
\(779\) | 2.63941 | − | 23.4254i | 0.0945668 | − | 0.839304i | ||||
\(780\) | 1.95848 | + | 1.49709i | 0.0701250 | + | 0.0536045i | ||||
\(781\) | 27.4129 | + | 27.4129i | 0.980911 | + | 0.980911i | ||||
\(782\) | 27.8313 | − | 25.3903i | 0.995244 | − | 0.907956i | ||||
\(783\) | −4.95419 | + | 10.2875i | −0.177048 | + | 0.367645i | ||||
\(784\) | −6.84285 | + | 15.8425i | −0.244387 | + | 0.565803i | ||||
\(785\) | 3.68472 | + | 1.77447i | 0.131513 | + | 0.0633334i | ||||
\(786\) | 1.63463 | + | 5.46244i | 0.0583053 | + | 0.194839i | ||||
\(787\) | −4.82743 | + | 42.8447i | −0.172079 | + | 1.52725i | 0.549840 | + | 0.835270i | \(0.314689\pi\) |
−0.721920 | + | 0.691977i | \(0.756740\pi\) | |||||||
\(788\) | −7.94476 | + | 17.4029i | −0.283020 | + | 0.619952i | ||||
\(789\) | −4.03002 | − | 1.41016i | −0.143472 | − | 0.0502032i | ||||
\(790\) | −0.983985 | − | 5.45173i | −0.0350086 | − | 0.193964i | ||||
\(791\) | 35.3783 | − | 44.3629i | 1.25791 | − | 1.57736i | ||||
\(792\) | −12.0491 | − | 12.6746i | −0.428144 | − | 0.450371i | ||||
\(793\) | −0.159507 | + | 0.0768144i | −0.00566425 | + | 0.00272776i | ||||
\(794\) | −11.7509 | − | 27.5651i | −0.417023 | − | 0.978249i | ||||
\(795\) | 1.32013 | + | 2.10098i | 0.0468202 | + | 0.0745140i | ||||
\(796\) | 42.2784 | + | 3.88627i | 1.49852 | + | 0.137745i | ||||
\(797\) | 10.6543 | − | 3.72809i | 0.377394 | − | 0.132056i | −0.134915 | − | 0.990857i | \(-0.543076\pi\) |
0.512309 | + | 0.858801i | \(0.328790\pi\) | |||||||
\(798\) | 17.2347 | + | 30.4412i | 0.610100 | + | 1.07761i | ||||
\(799\) | 8.82866 | + | 2.01508i | 0.312335 | + | 0.0712885i | ||||
\(800\) | 8.70961 | − | 24.5158i | 0.307931 | − | 0.866764i | ||||
\(801\) | −9.01892 | − | 7.19235i | −0.318668 | − | 0.254129i | ||||
\(802\) | −5.73863 | − | 10.1360i | −0.202638 | − | 0.357915i | ||||
\(803\) | −23.1205 | − | 14.5275i | −0.815903 | − | 0.512666i | ||||
\(804\) | 12.6531 | + | 12.1438i | 0.446241 | + | 0.428279i | ||||
\(805\) | −8.84712 | + | 14.0801i | −0.311820 | + | 0.496259i | ||||
\(806\) | 5.13036 | − | 2.18705i | 0.180709 | − | 0.0770354i | ||||
\(807\) | −20.0332 | − | 15.9759i | −0.705201 | − | 0.562379i | ||||
\(808\) | −29.6764 | + | 17.6160i | −1.04401 | + | 0.619730i | ||||
\(809\) | 41.4372 | − | 33.0451i | 1.45685 | − | 1.16180i | 0.501947 | − | 0.864898i | \(-0.332617\pi\) |
0.954907 | − | 0.296905i | \(-0.0959543\pi\) | |||||||
\(810\) | −1.01079 | − | 0.884802i | −0.0355157 | − | 0.0310888i | ||||
\(811\) | 22.0513 | + | 22.0513i | 0.774325 | + | 0.774325i | 0.978859 | − | 0.204534i | \(-0.0655679\pi\) |
−0.204534 | + | 0.978859i | \(0.565568\pi\) | |||||||
\(812\) | 14.1555 | − | 0.290745i | 0.496760 | − | 0.0102031i | ||||
\(813\) | −16.5421 | − | 5.78834i | −0.580158 | − | 0.203006i | ||||
\(814\) | 0.103698 | − | 0.650717i | 0.00363463 | − | 0.0228076i | ||||
\(815\) | −12.5229 | + | 2.85828i | −0.438659 | + | 0.100121i | ||||
\(816\) | 7.95689 | − | 13.8994i | 0.278547 | − | 0.486576i | ||||
\(817\) | −21.1582 | − | 35.2184i | −0.740233 | − | 1.23214i | ||||
\(818\) | −1.60687 | − | 24.1760i | −0.0561830 | − | 0.845293i | ||||
\(819\) | −7.66498 | − | 4.81623i | −0.267836 | − | 0.168293i | ||||
\(820\) | 3.66287 | − | 3.04617i | 0.127913 | − | 0.106377i | ||||
\(821\) | 2.58786 | + | 0.905532i | 0.0903170 | + | 0.0316033i | 0.375059 | − | 0.927001i | \(-0.377622\pi\) |
−0.284742 | + | 0.958604i | \(0.591908\pi\) | |||||||
\(822\) | 0.559183 | − | 12.1923i | 0.0195037 | − | 0.425254i | ||||
\(823\) | −44.1422 | −1.53870 | −0.769350 | − | 0.638828i | \(-0.779420\pi\) | ||||
−0.769350 | + | 0.638828i | \(0.779420\pi\) | |||||||
\(824\) | 9.59703 | + | 47.5624i | 0.334329 | + | 1.65691i | ||||
\(825\) | 12.8260 | + | 16.0832i | 0.446543 | + | 0.559947i | ||||
\(826\) | 1.43074 | − | 0.609916i | 0.0497817 | − | 0.0212217i | ||||
\(827\) | −3.20127 | − | 28.4121i | −0.111319 | − | 0.987985i | −0.917886 | − | 0.396843i | \(-0.870106\pi\) |
0.806567 | − | 0.591142i | \(-0.201323\pi\) | |||||||
\(828\) | −7.87586 | + | 24.0833i | −0.273705 | + | 0.836953i | ||||
\(829\) | −4.72425 | + | 7.51859i | −0.164080 | + | 0.261132i | −0.918637 | − | 0.395103i | \(-0.870709\pi\) |
0.754557 | + | 0.656234i | \(0.227852\pi\) | |||||||
\(830\) | 0.595630 | − | 0.543390i | 0.0206746 | − | 0.0188614i | ||||
\(831\) | 6.72981 | − | 1.53603i | 0.233454 | − | 0.0532844i | ||||
\(832\) | −0.817054 | − | 13.2450i | −0.0283263 | − | 0.459189i | ||||
\(833\) | −9.17636 | + | 11.5068i | −0.317942 | + | 0.398687i | ||||
\(834\) | 4.59870 | − | 6.62436i | 0.159240 | − | 0.229383i | ||||
\(835\) | 2.59112 | + | 4.12375i | 0.0896695 | + | 0.142708i | ||||
\(836\) | 26.2314 | + | 39.9039i | 0.907233 | + | 1.38011i | ||||
\(837\) | −12.1744 | + | 4.26001i | −0.420810 | + | 0.147248i | ||||
\(838\) | −37.2745 | + | 27.0273i | −1.28763 | + | 0.933643i | ||||
\(839\) | 40.9836 | + | 9.35423i | 1.41491 | + | 0.322944i | 0.860564 | − | 0.509342i | \(-0.170111\pi\) |
0.554346 | + | 0.832286i | \(0.312968\pi\) | |||||||
\(840\) | −1.74691 | + | 6.85017i | −0.0602741 | + | 0.236353i | ||||
\(841\) | 10.6608 | + | 22.1373i | 0.367613 | + | 0.763356i | ||||
\(842\) | −20.3611 | + | 14.7636i | −0.701691 | + | 0.508789i | ||||
\(843\) | −24.7410 | + | 2.78765i | −0.852127 | + | 0.0960116i | ||||
\(844\) | −4.28954 | − | 17.1613i | −0.147652 | − | 0.590715i | ||||
\(845\) | −6.12415 | − | 2.14293i | −0.210677 | − | 0.0737191i | ||||
\(846\) | −5.83511 | + | 1.74615i | −0.200615 | + | 0.0600339i | ||||
\(847\) | −7.38781 | − | 9.26402i | −0.253848 | − | 0.318316i | ||||
\(848\) | 3.89019 | − | 12.7781i | 0.133590 | − | 0.438803i | ||||
\(849\) | −13.0943 | + | 27.1906i | −0.449395 | + | 0.933179i | ||||
\(850\) | 12.6534 | − | 18.2270i | 0.434008 | − | 0.625181i | ||||
\(851\) | −0.901155 | + | 0.315328i | −0.0308912 | + | 0.0108093i | ||||
\(852\) | −0.490375 | − | 23.8749i | −0.0168000 | − | 0.817939i | ||||
\(853\) | 19.9686 | + | 19.9686i | 0.683711 | + | 0.683711i | 0.960834 | − | 0.277123i | \(-0.0893810\pi\) |
−0.277123 | + | 0.960834i | \(0.589381\pi\) | |||||||
\(854\) | −0.382019 | − | 0.334401i | −0.0130724 | − | 0.0114430i | ||||
\(855\) | −4.01254 | − | 5.03156i | −0.137226 | − | 0.172076i | ||||
\(856\) | −24.1079 | − | 3.33577i | −0.823992 | − | 0.114014i | ||||
\(857\) | −10.0723 | − | 2.29894i | −0.344064 | − | 0.0785304i | 0.0469972 | − | 0.998895i | \(-0.485035\pi\) |
−0.391061 | + | 0.920365i | \(0.627892\pi\) | |||||||
\(858\) | 9.23498 | + | 4.98089i | 0.315277 | + | 0.170045i | ||||
\(859\) | −8.34693 | − | 8.34693i | −0.284794 | − | 0.284794i | 0.550224 | − | 0.835017i | \(-0.314542\pi\) |
−0.835017 | + | 0.550224i | \(0.814542\pi\) | |||||||
\(860\) | 1.84334 | − | 8.09576i | 0.0628573 | − | 0.276063i | ||||
\(861\) | 10.5034 | − | 10.5034i | 0.357954 | − | 0.357954i | ||||
\(862\) | −9.43819 | − | 31.5396i | −0.321466 | − | 1.07424i | ||||
\(863\) | 7.13825 | − | 31.2747i | 0.242989 | − | 1.06460i | −0.695291 | − | 0.718728i | \(-0.744725\pi\) |
0.938280 | − | 0.345876i | \(-0.112418\pi\) | |||||||
\(864\) | −0.146043 | + | 30.6900i | −0.00496850 | + | 1.04409i | ||||
\(865\) | 9.38500 | − | 7.48429i | 0.319100 | − | 0.254473i | ||||
\(866\) | −20.6386 | + | 1.37176i | −0.701330 | + | 0.0466144i | ||||
\(867\) | −4.45038 | + | 4.45038i | −0.151143 | + | 0.151143i | ||||
\(868\) | 11.5390 | + | 11.0746i | 0.391661 | + | 0.375896i | ||||
\(869\) | −7.78782 | − | 22.2563i | −0.264184 | − | 0.754994i | ||||
\(870\) | 2.17646 | − | 0.392831i | 0.0737890 | − | 0.0133182i | ||||
\(871\) | 11.1657 | + | 5.37712i | 0.378335 | + | 0.182197i | ||||
\(872\) | 5.46403 | − | 14.4334i | 0.185035 | − | 0.488778i | ||||
\(873\) | 15.2212 | − | 12.1385i | 0.515160 | − | 0.410826i | ||||
\(874\) | 32.8454 | − | 60.8981i | 1.11101 | − | 2.05991i | ||||
\(875\) | −6.75147 | + | 19.2946i | −0.228241 | + | 0.652276i | ||||
\(876\) | 4.07867 | + | 16.3176i | 0.137805 | + | 0.551322i | ||||
\(877\) | 1.24053 | + | 11.0100i | 0.0418899 | + | 0.371783i | 0.997115 | + | 0.0759034i | \(0.0241841\pi\) |
−0.955225 | + | 0.295879i | \(0.904387\pi\) | |||||||
\(878\) | −44.6164 | − | 7.11008i | −1.50573 | − | 0.239953i | ||||
\(879\) | −8.53185 | + | 4.10872i | −0.287772 | + | 0.138584i | ||||
\(880\) | −1.75931 | + | 9.48884i | −0.0593063 | + | 0.319869i | ||||
\(881\) | 0.509855 | − | 2.23382i | 0.0171775 | − | 0.0752594i | −0.965613 | − | 0.259985i | \(-0.916282\pi\) |
0.982790 | + | 0.184725i | \(0.0591396\pi\) | |||||||
\(882\) | 1.55785 | − | 9.77565i | 0.0524555 | − | 0.329163i | ||||
\(883\) | −12.7604 | − | 36.4672i | −0.429423 | − | 1.22722i | −0.931927 | − | 0.362646i | \(-0.881874\pi\) |
0.502504 | − | 0.864575i | \(-0.332412\pi\) | |||||||
\(884\) | 2.29127 | − | 11.0831i | 0.0770638 | − | 0.372766i | ||||
\(885\) | 0.205711 | − | 0.129257i | 0.00691489 | − | 0.00434491i | ||||
\(886\) | −55.8735 | + | 10.0846i | −1.87711 | + | 0.338800i | ||||
\(887\) | 7.34439 | + | 5.85695i | 0.246600 | + | 0.196657i | 0.738988 | − | 0.673719i | \(-0.235304\pi\) |
−0.492387 | + | 0.870376i | \(0.663876\pi\) | |||||||
\(888\) | −0.323631 | + | 0.244956i | −0.0108603 | + | 0.00822020i | ||||
\(889\) | 12.9932 | + | 56.9269i | 0.435777 | + | 1.90927i | ||||
\(890\) | −0.291656 | + | 6.35919i | −0.00977633 | + | 0.213160i | ||||
\(891\) | −4.84138 | − | 3.04204i | −0.162192 | − | 0.101912i | ||||
\(892\) | −46.1973 | − | 15.1077i | −1.54680 | − | 0.505843i | ||||
\(893\) | 16.5274 | − | 1.86219i | 0.553067 | − | 0.0623157i | ||||
\(894\) | 4.90648 | + | 1.97355i | 0.164097 | + | 0.0660055i | ||||
\(895\) | −5.73593 | + | 4.57425i | −0.191731 | + | 0.152900i | ||||
\(896\) | 34.0221 | − | 17.0506i | 1.13660 | − | 0.569621i | ||||
\(897\) | − | 15.2029i | − | 0.507609i | ||||||
\(898\) | 8.04783 | + | 8.82152i | 0.268559 | + | 0.294378i | ||||
\(899\) | 1.65256 | − | 4.72274i | 0.0551160 | − | 0.157512i | ||||
\(900\) | −1.36605 | + | 14.8611i | −0.0455349 | + | 0.495371i | ||||
\(901\) | 6.06073 | − | 9.64560i | 0.201912 | − | 0.321341i | ||||
\(902\) | 13.3558 | − | 15.2576i | 0.444700 | − | 0.508023i | ||||
\(903\) | 3.41277 | − | 25.6624i | 0.113570 | − | 0.853990i | ||||
\(904\) | −46.7706 | + | 9.43727i | −1.55557 | + | 0.313879i | ||||
\(905\) | −0.837588 | − | 3.66971i | −0.0278424 | − | 0.121985i | ||||
\(906\) | 12.8760 | + | 17.7578i | 0.427775 | + | 0.589962i | ||||
\(907\) | −0.0772107 | + | 0.220656i | −0.00256374 | + | 0.00732675i | −0.945158 | − | 0.326613i | \(-0.894093\pi\) |
0.942594 | + | 0.333940i | \(0.108378\pi\) | |||||||
\(908\) | −10.0243 | + | 0.205893i | −0.332668 | + | 0.00683280i | ||||
\(909\) | 13.9980 | − | 13.9980i | 0.464284 | − | 0.464284i | ||||
\(910\) | 0.331304 | + | 4.98458i | 0.0109826 | + | 0.165237i | ||||
\(911\) | −3.36866 | − | 4.22417i | −0.111609 | − | 0.139953i | 0.722889 | − | 0.690964i | \(-0.242814\pi\) |
−0.834498 | + | 0.551011i | \(0.814242\pi\) | |||||||
\(912\) | 5.36239 | − | 28.9221i | 0.177567 | − | 0.957706i | ||||
\(913\) | 2.13964 | − | 2.68303i | 0.0708119 | − | 0.0887953i | ||||
\(914\) | 10.4712 | − | 26.0327i | 0.346358 | − | 0.861086i | ||||
\(915\) | −0.0671503 | − | 0.0421933i | −0.00221992 | − | 0.00139487i | ||||
\(916\) | −1.03513 | − | 50.3972i | −0.0342016 | − | 1.66517i | ||||
\(917\) | −6.14740 | + | 9.78352i | −0.203005 | + | 0.323080i | ||||
\(918\) | −6.98732 | + | 25.2244i | −0.230616 | + | 0.832528i | ||||
\(919\) | −12.6510 | + | 15.8639i | −0.417319 | + | 0.523302i | −0.945409 | − | 0.325887i | \(-0.894337\pi\) |
0.528090 | + | 0.849189i | \(0.322909\pi\) | |||||||
\(920\) | 13.3108 | − | 4.28295i | 0.438843 | − | 0.141205i | ||||
\(921\) | −6.47230 | + | 28.3570i | −0.213269 | + | 0.934394i | ||||
\(922\) | 35.3468 | + | 9.79132i | 1.16409 | + | 0.322460i | ||||
\(923\) | −5.57334 | − | 15.9277i | −0.183449 | − | 0.524267i | ||||
\(924\) | −2.75429 | + | 29.9637i | −0.0906095 | + | 0.985734i | ||||
\(925\) | −0.476127 | + | 0.299170i | −0.0156550 | + | 0.00983666i | ||||
\(926\) | −22.3233 | + | 55.4983i | −0.733589 | + | 1.82379i | ||||
\(927\) | −12.0761 | − | 25.0762i | −0.396630 | − | 0.823611i | ||||
\(928\) | −9.27267 | − | 7.46717i | −0.304390 | − | 0.245122i | ||||
\(929\) | 12.2735 | + | 9.78781i | 0.402681 | + | 0.321128i | 0.803801 | − | 0.594898i | \(-0.202808\pi\) |
−0.401120 | + | 0.916026i | \(0.631379\pi\) | |||||||
\(930\) | 2.05225 | + | 1.42469i | 0.0672958 | + | 0.0467175i | ||||
\(931\) | −8.92777 | + | 25.5141i | −0.292596 | + | 0.836191i | ||||
\(932\) | −9.06102 | − | 24.2834i | −0.296803 | − | 0.795429i | ||||
\(933\) | 10.8727 | + | 1.22506i | 0.355955 | + | 0.0401065i | ||||
\(934\) | −23.3626 | + | 43.3160i | −0.764446 | + | 1.41734i | ||||
\(935\) | −3.57107 | + | 7.41540i | −0.116786 | + | 0.242509i | ||||
\(936\) | 2.33157 | + | 7.24616i | 0.0762097 | + | 0.236848i | ||||
\(937\) | −6.87328 | − | 3.31000i | −0.224540 | − | 0.108133i | 0.318232 | − | 0.948013i | \(-0.396911\pi\) |
−0.542772 | + | 0.839880i | \(0.682625\pi\) | |||||||
\(938\) | −1.62828 | + | 35.5026i | −0.0531653 | + | 1.15920i | ||||
\(939\) | −3.56150 | + | 3.56150i | −0.116225 | + | 0.116225i | ||||
\(940\) | 2.67034 | + | 2.04124i | 0.0870968 | + | 0.0665779i | ||||
\(941\) | 5.13621 | + | 0.578712i | 0.167436 | + | 0.0188655i | 0.195284 | − | 0.980747i | \(-0.437437\pi\) |
−0.0278485 | + | 0.999612i | \(0.508866\pi\) | |||||||
\(942\) | −5.28277 | − | 9.33083i | −0.172122 | − | 0.304015i | ||||
\(943\) | −28.6436 | − | 6.53772i | −0.932765 | − | 0.212898i | ||||
\(944\) | −1.25113 | − | 0.380895i | −0.0407208 | − | 0.0123971i | ||||
\(945\) | − | 11.5534i | − | 0.375832i | ||||||
\(946\) | 2.32526 | − | 35.2639i | 0.0756009 | − | 1.14653i | ||||
\(947\) | 28.5646 | + | 28.5646i | 0.928224 | + | 0.928224i | 0.997591 | − | 0.0693672i | \(-0.0220980\pi\) |
−0.0693672 | + | 0.997591i | \(0.522098\pi\) | |||||||
\(948\) | −6.03184 | + | 13.2127i | −0.195905 | + | 0.429127i | ||||
\(949\) | 6.32349 | + | 10.0638i | 0.205269 | + | 0.326684i | ||||
\(950\) | 10.8789 | − | 39.2731i | 0.352959 | − | 1.27419i | ||||
\(951\) | −19.0914 | + | 15.2249i | −0.619080 | + | 0.493700i | ||||
\(952\) | 31.8145 | − | 6.41946i | 1.03111 | − | 0.208056i | ||||
\(953\) | −24.9115 | −0.806963 | −0.403482 | − | 0.914988i | \(-0.632200\pi\) | ||||
−0.403482 | + | 0.914988i | \(0.632200\pi\) | |||||||
\(954\) | −0.351035 | + | 7.65387i | −0.0113652 | + | 0.247803i | ||||
\(955\) | −15.7638 | + | 5.51599i | −0.510104 | + | 0.178493i | ||||
\(956\) | 34.7348 | + | 20.8429i | 1.12340 | + | 0.674107i | ||||
\(957\) | 8.88526 | − | 3.10909i | 0.287220 | − | 0.100503i | ||||
\(958\) | 5.29036 | + | 17.6788i | 0.170924 | + | 0.571176i | ||||
\(959\) | 19.3373 | − | 15.4210i | 0.624435 | − | 0.497971i | ||||
\(960\) | 4.82907 | − | 3.46657i | 0.155858 | − | 0.111883i | ||||
\(961\) | −22.8377 | + | 10.9981i | −0.736700 | + | 0.354776i | ||||
\(962\) | −0.163561 | + | 0.235607i | −0.00527343 | + | 0.00759628i | ||||
\(963\) | 13.8727 | − | 1.56308i | 0.447042 | − | 0.0503696i | ||||
\(964\) | −21.6630 | − | 1.99129i | −0.697720 | − | 0.0641350i | ||||
\(965\) | −0.806063 | + | 2.30359i | −0.0259481 | + | 0.0741553i | ||||
\(966\) | 40.1058 | − | 17.0969i | 1.29038 | − | 0.550084i | ||||
\(967\) | 2.46608 | − | 10.8046i | 0.0793039 | − | 0.347453i | −0.919673 | − | 0.392686i | \(-0.871546\pi\) |
0.998976 | + | 0.0452329i | \(0.0144030\pi\) | |||||||
\(968\) | −0.252005 | + | 9.96045i | −0.00809973 | + | 0.320141i | ||||
\(969\) | 10.8847 | − | 22.6022i | 0.349666 | − | 0.726088i | ||||
\(970\) | −10.3538 | − | 2.86806i | −0.332439 | − | 0.0920880i | ||||
\(971\) | 12.5473 | + | 19.9689i | 0.402661 | + | 0.640832i | 0.985088 | − | 0.172052i | \(-0.0550396\pi\) |
−0.582427 | + | 0.812883i | \(0.697897\pi\) | |||||||
\(972\) | −7.03961 | − | 28.1636i | −0.225796 | − | 0.903347i | ||||
\(973\) | 16.2391 | − | 1.82970i | 0.520600 | − | 0.0586576i | ||||
\(974\) | −11.1546 | − | 19.7021i | −0.357416 | − | 0.631297i | ||||
\(975\) | −1.99249 | − | 8.72967i | −0.0638107 | − | 0.279573i | ||||
\(976\) | 0.0651785 | + | 0.421910i | 0.00208631 | + | 0.0135050i | ||||
\(977\) | 7.82707 | + | 34.2926i | 0.250410 | + | 1.09712i | 0.931162 | + | 0.364605i | \(0.118796\pi\) |
−0.680752 | + | 0.732514i | \(0.738347\pi\) | |||||||
\(978\) | 31.2443 | + | 12.5675i | 0.999083 | + | 0.401865i | ||||
\(979\) | 3.03373 | + | 26.9251i | 0.0969585 | + | 0.860531i | ||||
\(980\) | −4.87202 | + | 2.47075i | −0.155631 | + | 0.0789251i | ||||
\(981\) | −0.991187 | + | 8.79703i | −0.0316462 | + | 0.280867i | ||||
\(982\) | 16.4861 | − | 18.8336i | 0.526091 | − | 0.601004i | ||||
\(983\) | 35.2447i | 1.12413i | 0.827093 | + | 0.562065i | \(0.189993\pi\) | ||||
−0.827093 | + | 0.562065i | \(0.810007\pi\) | |||||||
\(984\) | −12.4432 | + | 1.08410i | −0.396675 | + | 0.0345600i | ||||
\(985\) | −5.45603 | + | 2.62749i | −0.173844 | + | 0.0837187i | ||||
\(986\) | −5.96032 | − | 8.22012i | −0.189815 | − | 0.261782i | ||||
\(987\) | 8.87362 | + | 5.57567i | 0.282450 | + | 0.177475i | ||||
\(988\) | −2.75096 | − | 20.6032i | −0.0875198 | − | 0.655474i | ||||
\(989\) | −46.5698 | + | 21.2896i | −1.48083 | + | 0.676969i | ||||
\(990\) | −0.367126 | − | 5.52354i | −0.0116680 | − | 0.175550i | ||||
\(991\) | 4.98317 | + | 21.8327i | 0.158296 | + | 0.693539i | 0.990320 | + | 0.138800i | \(0.0443246\pi\) |
−0.832025 | + | 0.554739i | \(0.812818\pi\) | |||||||
\(992\) | −1.44216 | − | 13.3711i | −0.0457886 | − | 0.424532i | ||||
\(993\) | 23.9714 | − | 11.5440i | 0.760709 | − | 0.366338i | ||||
\(994\) | 35.7502 | − | 32.6148i | 1.13393 | − | 1.03448i | ||||
\(995\) | 9.50319 | + | 9.50319i | 0.301271 | + | 0.301271i | ||||
\(996\) | −2.09526 | + | 0.279762i | −0.0663908 | + | 0.00886458i | ||||
\(997\) | 25.5656 | + | 2.88055i | 0.809671 | + | 0.0912280i | 0.507087 | − | 0.861895i | \(-0.330722\pi\) |
0.302584 | + | 0.953123i | \(0.402151\pi\) | |||||||
\(998\) | −12.3377 | − | 28.9417i | −0.390543 | − | 0.916133i | ||||
\(999\) | 0.413576 | − | 0.518608i | 0.0130850 | − | 0.0164080i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(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 | 688.2.bi.a.27.9 | ✓ | 1032 | |
16.3 | odd | 4 | inner | 688.2.bi.a.371.8 | yes | 1032 | |
43.8 | odd | 14 | inner | 688.2.bi.a.395.8 | yes | 1032 | |
688.51 | even | 28 | inner | 688.2.bi.a.51.9 | yes | 1032 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
688.2.bi.a.27.9 | ✓ | 1032 | 1.1 | even | 1 | trivial | |
688.2.bi.a.51.9 | yes | 1032 | 688.51 | even | 28 | inner | |
688.2.bi.a.371.8 | yes | 1032 | 16.3 | odd | 4 | inner | |
688.2.bi.a.395.8 | yes | 1032 | 43.8 | odd | 14 | inner |