Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [57,3,Mod(10,57)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(57, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 17]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("57.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 57 = 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 57.k (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.55313750685\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 48 x^{16} + 936 x^{14} + 9539 x^{12} + 54576 x^{10} + 176517 x^{8} + 313396 x^{6} + 277917 x^{4} + \cdots + 8427 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 34.2 | ||
Root | \(0.707729i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 57.34 |
Dual form | 57.3.k.a.52.2 |
$q$-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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(40\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.242057 | − | 0.665047i | 0.121029 | − | 0.332524i | −0.864353 | − | 0.502886i | \(-0.832272\pi\) |
0.985382 | + | 0.170362i | \(0.0544938\pi\) | |||||||
\(3\) | −1.70574 | + | 0.300767i | −0.568579 | + | 0.100256i | ||||
\(4\) | 2.68048 | + | 2.24919i | 0.670120 | + | 0.562298i | ||||
\(5\) | 5.34756 | − | 4.48713i | 1.06951 | − | 0.897426i | 0.0745031 | − | 0.997221i | \(-0.476263\pi\) |
0.995008 | + | 0.0997943i | \(0.0318185\pi\) | |||||||
\(6\) | −0.212862 | + | 1.20720i | −0.0354770 | + | 0.201200i | ||||
\(7\) | −0.504300 | + | 0.873473i | −0.0720429 | + | 0.124782i | −0.899797 | − | 0.436310i | \(-0.856285\pi\) |
0.827754 | + | 0.561092i | \(0.189619\pi\) | |||||||
\(8\) | 4.59629 | − | 2.65367i | 0.574537 | − | 0.331709i | ||||
\(9\) | 2.81908 | − | 1.02606i | 0.313231 | − | 0.114007i | ||||
\(10\) | −1.68974 | − | 4.64252i | −0.168974 | − | 0.464252i | ||||
\(11\) | 3.17026 | + | 5.49105i | 0.288205 | + | 0.499186i | 0.973381 | − | 0.229191i | \(-0.0736081\pi\) |
−0.685176 | + | 0.728377i | \(0.740275\pi\) | |||||||
\(12\) | −5.24868 | − | 3.03033i | −0.437390 | − | 0.252527i | ||||
\(13\) | −18.8398 | − | 3.32196i | −1.44921 | − | 0.255535i | −0.607009 | − | 0.794695i | \(-0.707631\pi\) |
−0.842203 | + | 0.539160i | \(0.818742\pi\) | |||||||
\(14\) | 0.458832 | + | 0.546814i | 0.0327737 | + | 0.0390582i | ||||
\(15\) | −7.77194 | + | 9.26224i | −0.518129 | + | 0.617483i | ||||
\(16\) | 1.77821 | + | 10.0847i | 0.111138 | + | 0.630297i | ||||
\(17\) | −17.6556 | − | 6.42612i | −1.03857 | − | 0.378007i | −0.234229 | − | 0.972181i | \(-0.575257\pi\) |
−0.804336 | + | 0.594175i | \(0.797479\pi\) | |||||||
\(18\) | − | 2.12319i | − | 0.117955i | ||||||
\(19\) | −3.75932 | + | 18.6244i | −0.197859 | + | 0.980231i | ||||
\(20\) | 24.4264 | 1.22132 | ||||||||
\(21\) | 0.597491 | − | 1.64159i | 0.0284520 | − | 0.0781711i | ||||
\(22\) | 4.41919 | − | 0.779223i | 0.200872 | − | 0.0354192i | ||||
\(23\) | 4.24742 | + | 3.56401i | 0.184670 | + | 0.154957i | 0.730436 | − | 0.682981i | \(-0.239317\pi\) |
−0.545766 | + | 0.837938i | \(0.683761\pi\) | |||||||
\(24\) | −7.04193 | + | 5.90888i | −0.293414 | + | 0.246203i | ||||
\(25\) | 4.12079 | − | 23.3702i | 0.164832 | − | 0.934808i | ||||
\(26\) | −6.76956 | + | 11.7252i | −0.260368 | + | 0.450970i | ||||
\(27\) | −4.50000 | + | 2.59808i | −0.166667 | + | 0.0962250i | ||||
\(28\) | −3.31638 | + | 1.20706i | −0.118442 | + | 0.0431094i | ||||
\(29\) | −15.9133 | − | 43.7213i | −0.548733 | − | 1.50763i | −0.835423 | − | 0.549608i | \(-0.814777\pi\) |
0.286690 | − | 0.958023i | \(-0.407445\pi\) | |||||||
\(30\) | 4.27857 | + | 7.41070i | 0.142619 | + | 0.247023i | ||||
\(31\) | −11.5290 | − | 6.65625i | −0.371902 | − | 0.214718i | 0.302387 | − | 0.953185i | \(-0.402216\pi\) |
−0.674289 | + | 0.738468i | \(0.735550\pi\) | |||||||
\(32\) | 28.0441 | + | 4.94493i | 0.876379 | + | 0.154529i | ||||
\(33\) | −7.05916 | − | 8.41278i | −0.213914 | − | 0.254933i | ||||
\(34\) | −8.54735 | + | 10.1863i | −0.251393 | + | 0.299598i | ||||
\(35\) | 1.22262 | + | 6.93381i | 0.0349319 | + | 0.198109i | ||||
\(36\) | 9.86429 | + | 3.59031i | 0.274008 | + | 0.0997308i | ||||
\(37\) | 33.7511i | 0.912193i | 0.889930 | + | 0.456096i | \(0.150753\pi\) | ||||
−0.889930 | + | 0.456096i | \(0.849247\pi\) | |||||||
\(38\) | 11.4761 | + | 7.00830i | 0.302003 | + | 0.184429i | ||||
\(39\) | 33.1348 | 0.849610 | ||||||||
\(40\) | 12.6716 | − | 34.8148i | 0.316789 | − | 0.870371i | ||||
\(41\) | 14.6890 | − | 2.59006i | 0.358268 | − | 0.0631723i | 0.00838270 | − | 0.999965i | \(-0.497332\pi\) |
0.349885 | + | 0.936793i | \(0.386221\pi\) | |||||||
\(42\) | −0.947110 | − | 0.794720i | −0.0225502 | − | 0.0189219i | ||||
\(43\) | 54.4444 | − | 45.6843i | 1.26615 | − | 1.06242i | 0.271149 | − | 0.962537i | \(-0.412596\pi\) |
0.994999 | − | 0.0998873i | \(-0.0318482\pi\) | |||||||
\(44\) | −3.85260 | + | 21.8492i | −0.0875591 | + | 0.496572i | ||||
\(45\) | 10.4711 | − | 18.1365i | 0.232691 | − | 0.403033i | ||||
\(46\) | 3.39835 | − | 1.96204i | 0.0738773 | − | 0.0426531i | ||||
\(47\) | −61.8359 | + | 22.5064i | −1.31566 | + | 0.478860i | −0.902064 | − | 0.431601i | \(-0.857949\pi\) |
−0.413594 | + | 0.910462i | \(0.635727\pi\) | |||||||
\(48\) | −6.06633 | − | 16.6671i | −0.126382 | − | 0.347231i | ||||
\(49\) | 23.9914 | + | 41.5543i | 0.489620 | + | 0.848046i | ||||
\(50\) | −14.5448 | − | 8.39745i | −0.290896 | − | 0.167949i | ||||
\(51\) | 32.0486 | + | 5.65103i | 0.628404 | + | 0.110805i | ||||
\(52\) | −43.0279 | − | 51.2786i | −0.827460 | − | 0.986128i | ||||
\(53\) | −2.12547 | + | 2.53303i | −0.0401032 | + | 0.0477931i | −0.785723 | − | 0.618578i | \(-0.787709\pi\) |
0.745620 | + | 0.666371i | \(0.232153\pi\) | |||||||
\(54\) | 0.638585 | + | 3.62160i | 0.0118257 | + | 0.0670666i | ||||
\(55\) | 41.5922 | + | 15.1383i | 0.756222 | + | 0.275242i | ||||
\(56\) | 5.35299i | 0.0955890i | ||||||||
\(57\) | 0.810801 | − | 32.8990i | 0.0142246 | − | 0.577175i | ||||
\(58\) | −32.9287 | −0.567736 | ||||||||
\(59\) | −15.3099 | + | 42.0637i | −0.259490 | + | 0.712944i | 0.739709 | + | 0.672927i | \(0.234963\pi\) |
−0.999199 | + | 0.0400165i | \(0.987259\pi\) | |||||||
\(60\) | −41.6651 | + | 7.34668i | −0.694418 | + | 0.122445i | ||||
\(61\) | 42.0127 | + | 35.2529i | 0.688733 | + | 0.577916i | 0.918544 | − | 0.395320i | \(-0.129366\pi\) |
−0.229811 | + | 0.973235i | \(0.573811\pi\) | |||||||
\(62\) | −7.21739 | + | 6.05611i | −0.116410 | + | 0.0976792i | ||||
\(63\) | −0.525425 | + | 2.97983i | −0.00834008 | + | 0.0472989i | ||||
\(64\) | −10.4037 | + | 18.0198i | −0.162558 | + | 0.281559i | ||||
\(65\) | −115.653 | + | 66.7721i | −1.77927 | + | 1.02726i | ||||
\(66\) | −7.30362 | + | 2.65830i | −0.110661 | + | 0.0402773i | ||||
\(67\) | 21.4253 | + | 58.8655i | 0.319780 | + | 0.878590i | 0.990578 | + | 0.136949i | \(0.0437297\pi\) |
−0.670798 | + | 0.741640i | \(0.734048\pi\) | |||||||
\(68\) | −32.8720 | − | 56.9359i | −0.483411 | − | 0.837293i | ||||
\(69\) | −8.31692 | − | 4.80177i | −0.120535 | − | 0.0695909i | ||||
\(70\) | 4.90726 | + | 0.865282i | 0.0701037 | + | 0.0123612i | ||||
\(71\) | −50.5020 | − | 60.1860i | −0.711296 | − | 0.847690i | 0.282458 | − | 0.959280i | \(-0.408850\pi\) |
−0.993754 | + | 0.111590i | \(0.964406\pi\) | |||||||
\(72\) | 10.2345 | − | 12.1970i | 0.142146 | − | 0.169403i | ||||
\(73\) | −23.2374 | − | 131.786i | −0.318321 | − | 1.80529i | −0.552962 | − | 0.833206i | \(-0.686503\pi\) |
0.234641 | − | 0.972082i | \(-0.424609\pi\) | |||||||
\(74\) | 22.4461 | + | 8.16971i | 0.303326 | + | 0.110402i | ||||
\(75\) | 41.1028i | 0.548037i | ||||||||
\(76\) | −51.9666 | + | 41.4669i | −0.683771 | + | 0.545617i | ||||
\(77\) | −6.39505 | −0.0830526 | ||||||||
\(78\) | 8.02053 | − | 22.0362i | 0.102827 | − | 0.282516i | ||||
\(79\) | 24.2864 | − | 4.28235i | 0.307423 | − | 0.0542070i | −0.0178084 | − | 0.999841i | \(-0.505669\pi\) |
0.325231 | + | 0.945634i | \(0.394558\pi\) | |||||||
\(80\) | 54.7607 | + | 45.9497i | 0.684509 | + | 0.574371i | ||||
\(81\) | 6.89440 | − | 5.78509i | 0.0851160 | − | 0.0714208i | ||||
\(82\) | 1.83306 | − | 10.3958i | 0.0223544 | − | 0.126778i | ||||
\(83\) | 56.6745 | − | 98.1632i | 0.682826 | − | 1.18269i | −0.291289 | − | 0.956635i | \(-0.594084\pi\) |
0.974115 | − | 0.226054i | \(-0.0725826\pi\) | |||||||
\(84\) | 5.29382 | − | 3.05639i | 0.0630217 | − | 0.0363856i | ||||
\(85\) | −123.249 | + | 44.8590i | −1.44999 | + | 0.527753i | ||||
\(86\) | −17.2035 | − | 47.2663i | −0.200041 | − | 0.549608i | ||||
\(87\) | 40.2938 | + | 69.7909i | 0.463147 | + | 0.802194i | ||||
\(88\) | 29.1429 | + | 16.8256i | 0.331169 | + | 0.191201i | ||||
\(89\) | 153.275 | + | 27.0266i | 1.72220 | + | 0.303670i | 0.945359 | − | 0.326032i | \(-0.105712\pi\) |
0.776837 | + | 0.629701i | \(0.216823\pi\) | |||||||
\(90\) | −9.52702 | − | 11.3539i | −0.105856 | − | 0.126154i | ||||
\(91\) | 12.4025 | − | 14.7808i | 0.136292 | − | 0.162426i | ||||
\(92\) | 3.36899 | + | 19.1065i | 0.0366195 | + | 0.207679i | ||||
\(93\) | 21.6674 | + | 7.88627i | 0.232982 | + | 0.0847986i | ||||
\(94\) | 46.5717i | 0.495443i | ||||||||
\(95\) | 63.4669 | + | 116.463i | 0.668073 | + | 1.22593i | ||||
\(96\) | −49.3232 | −0.513783 | ||||||||
\(97\) | 43.5508 | − | 119.655i | 0.448977 | − | 1.23355i | −0.484460 | − | 0.874813i | \(-0.660984\pi\) |
0.933437 | − | 0.358741i | \(-0.116794\pi\) | |||||||
\(98\) | 33.4428 | − | 5.89688i | 0.341254 | − | 0.0601722i | ||||
\(99\) | 14.5714 | + | 12.2268i | 0.147185 | + | 0.123503i | ||||
\(100\) | 63.6097 | − | 53.3749i | 0.636097 | − | 0.533749i | ||||
\(101\) | 11.6382 | − | 66.0033i | 0.115229 | − | 0.653498i | −0.871407 | − | 0.490561i | \(-0.836792\pi\) |
0.986636 | − | 0.162937i | \(-0.0520968\pi\) | |||||||
\(102\) | 11.5158 | − | 19.9460i | 0.112900 | − | 0.195549i | ||||
\(103\) | −97.1329 | + | 56.0797i | −0.943038 | + | 0.544463i | −0.890911 | − | 0.454178i | \(-0.849933\pi\) |
−0.0521263 | + | 0.998640i | \(0.516600\pi\) | |||||||
\(104\) | −95.4084 | + | 34.7258i | −0.917389 | + | 0.333902i | ||||
\(105\) | −4.17093 | − | 11.4595i | −0.0397231 | − | 0.109138i | ||||
\(106\) | 1.17010 | + | 2.02668i | 0.0110387 | + | 0.0191196i | ||||
\(107\) | 40.1577 | + | 23.1851i | 0.375306 | + | 0.216683i | 0.675774 | − | 0.737109i | \(-0.263810\pi\) |
−0.300468 | + | 0.953792i | \(0.597143\pi\) | |||||||
\(108\) | −17.9057 | − | 3.15726i | −0.165794 | − | 0.0292339i | ||||
\(109\) | 39.6870 | + | 47.2971i | 0.364101 | + | 0.433919i | 0.916729 | − | 0.399509i | \(-0.130819\pi\) |
−0.552628 | + | 0.833428i | \(0.686375\pi\) | |||||||
\(110\) | 20.1354 | − | 23.9964i | 0.183049 | − | 0.218149i | ||||
\(111\) | −10.1512 | − | 57.5705i | −0.0914526 | − | 0.518654i | ||||
\(112\) | −9.70551 | − | 3.53252i | −0.0866564 | − | 0.0315403i | ||||
\(113\) | − | 27.3673i | − | 0.242188i | −0.992641 | − | 0.121094i | \(-0.961360\pi\) | ||
0.992641 | − | 0.121094i | \(-0.0386403\pi\) | |||||||
\(114\) | −21.6831 | − | 8.50266i | −0.190203 | − | 0.0745848i | ||||
\(115\) | 38.7055 | 0.336569 | ||||||||
\(116\) | 55.6824 | − | 152.986i | 0.480021 | − | 1.31885i | ||||
\(117\) | −56.5193 | + | 9.96587i | −0.483071 | + | 0.0851784i | ||||
\(118\) | 24.2685 | + | 20.3637i | 0.205665 | + | 0.172573i | ||||
\(119\) | 14.5168 | − | 12.1810i | 0.121990 | − | 0.102361i | ||||
\(120\) | −11.1432 | + | 63.1961i | −0.0928599 | + | 0.526635i | ||||
\(121\) | 40.3989 | − | 69.9730i | 0.333875 | − | 0.578289i | ||||
\(122\) | 33.6143 | − | 19.4072i | 0.275527 | − | 0.159076i | ||||
\(123\) | −24.2765 | + | 8.83594i | −0.197370 | + | 0.0718369i | ||||
\(124\) | −15.9320 | − | 43.7728i | −0.128484 | − | 0.353006i | ||||
\(125\) | 4.43029 | + | 7.67348i | 0.0354423 | + | 0.0613879i | ||||
\(126\) | 1.85455 | + | 1.07072i | 0.0147186 | + | 0.00849780i | ||||
\(127\) | 1.50322 | + | 0.265059i | 0.0118364 | + | 0.00208708i | 0.179563 | − | 0.983746i | \(-0.442532\pi\) |
−0.167727 | + | 0.985834i | \(0.553643\pi\) | |||||||
\(128\) | 82.6837 | + | 98.5386i | 0.645966 | + | 0.769833i | ||||
\(129\) | −79.1274 | + | 94.3004i | −0.613391 | + | 0.731011i | ||||
\(130\) | 16.4120 | + | 93.0772i | 0.126246 | + | 0.715979i | ||||
\(131\) | −95.0832 | − | 34.6075i | −0.725826 | − | 0.264179i | −0.0474290 | − | 0.998875i | \(-0.515103\pi\) |
−0.678397 | + | 0.734696i | \(0.737325\pi\) | |||||||
\(132\) | − | 38.4277i | − | 0.291119i | ||||||
\(133\) | −14.3721 | − | 12.6759i | −0.108061 | − | 0.0953078i | ||||
\(134\) | 44.3345 | 0.330854 | ||||||||
\(135\) | −12.4061 | + | 34.0855i | −0.0918970 | + | 0.252485i | ||||
\(136\) | −98.2032 | + | 17.3159i | −0.722082 | + | 0.127323i | ||||
\(137\) | 17.5368 | + | 14.7151i | 0.128006 | + | 0.107410i | 0.704543 | − | 0.709661i | \(-0.251152\pi\) |
−0.576537 | + | 0.817071i | \(0.695596\pi\) | |||||||
\(138\) | −5.20658 | + | 4.36884i | −0.0377288 | + | 0.0316583i | ||||
\(139\) | −38.6935 | + | 219.442i | −0.278371 | + | 1.57872i | 0.449677 | + | 0.893191i | \(0.351539\pi\) |
−0.728047 | + | 0.685527i | \(0.759572\pi\) | |||||||
\(140\) | −12.3183 | + | 21.3358i | −0.0879875 | + | 0.152399i | ||||
\(141\) | 98.7066 | − | 56.9883i | 0.700047 | − | 0.404172i | ||||
\(142\) | −52.2509 | + | 19.0178i | −0.367964 | + | 0.133928i | ||||
\(143\) | −41.4859 | − | 113.981i | −0.290111 | − | 0.797073i | ||||
\(144\) | 15.3605 | + | 26.6051i | 0.106670 | + | 0.184758i | ||||
\(145\) | −281.280 | − | 162.397i | −1.93986 | − | 1.11998i | ||||
\(146\) | −93.2688 | − | 16.4458i | −0.638827 | − | 0.112642i | ||||
\(147\) | −53.4211 | − | 63.6648i | −0.363409 | − | 0.433094i | ||||
\(148\) | −75.9127 | + | 90.4693i | −0.512924 | + | 0.611279i | ||||
\(149\) | −4.98879 | − | 28.2929i | −0.0334818 | − | 0.189885i | 0.963480 | − | 0.267782i | \(-0.0862906\pi\) |
−0.996961 | + | 0.0778969i | \(0.975180\pi\) | |||||||
\(150\) | 27.3353 | + | 9.94924i | 0.182235 | + | 0.0663283i | ||||
\(151\) | − | 53.6268i | − | 0.355144i | −0.984108 | − | 0.177572i | \(-0.943176\pi\) | ||
0.984108 | − | 0.177572i | \(-0.0568243\pi\) | |||||||
\(152\) | 32.1441 | + | 95.5791i | 0.211474 | + | 0.628810i | ||||
\(153\) | −56.3661 | −0.368406 | ||||||||
\(154\) | −1.54797 | + | 4.25301i | −0.0100517 | + | 0.0276169i | ||||
\(155\) | −91.5192 | + | 16.1373i | −0.590446 | + | 0.104112i | ||||
\(156\) | 88.8172 | + | 74.5265i | 0.569341 | + | 0.477734i | ||||
\(157\) | −74.4671 | + | 62.4853i | −0.474313 | + | 0.397996i | −0.848365 | − | 0.529412i | \(-0.822413\pi\) |
0.374052 | + | 0.927408i | \(0.377968\pi\) | |||||||
\(158\) | 3.03074 | − | 17.1882i | 0.0191819 | − | 0.108786i | ||||
\(159\) | 2.86363 | − | 4.95996i | 0.0180103 | − | 0.0311947i | ||||
\(160\) | 172.156 | − | 99.3943i | 1.07598 | − | 0.621215i | ||||
\(161\) | −5.25504 | + | 1.91268i | −0.0326400 | + | 0.0118800i | ||||
\(162\) | −2.17852 | − | 5.98543i | −0.0134476 | − | 0.0369471i | ||||
\(163\) | 71.0293 | + | 123.026i | 0.435762 | + | 0.754763i | 0.997358 | − | 0.0726495i | \(-0.0231454\pi\) |
−0.561595 | + | 0.827412i | \(0.689812\pi\) | |||||||
\(164\) | 45.1991 | + | 26.0957i | 0.275604 | + | 0.159120i | ||||
\(165\) | −75.4985 | − | 13.3124i | −0.457566 | − | 0.0806813i | ||||
\(166\) | −51.5647 | − | 61.4524i | −0.310631 | − | 0.370195i | ||||
\(167\) | 101.724 | − | 121.230i | 0.609125 | − | 0.725927i | −0.370035 | − | 0.929018i | \(-0.620654\pi\) |
0.979160 | + | 0.203091i | \(0.0650986\pi\) | |||||||
\(168\) | −1.61000 | − | 9.13079i | −0.00958336 | − | 0.0543499i | ||||
\(169\) | 185.093 | + | 67.3683i | 1.09522 | + | 0.398629i | ||||
\(170\) | 92.8250i | 0.546030i | ||||||||
\(171\) | 8.51193 | + | 56.3609i | 0.0497774 | + | 0.329596i | ||||
\(172\) | 248.690 | 1.44587 | ||||||||
\(173\) | 27.1974 | − | 74.7243i | 0.157210 | − | 0.431932i | −0.835933 | − | 0.548831i | \(-0.815073\pi\) |
0.993144 | + | 0.116899i | \(0.0372953\pi\) | |||||||
\(174\) | 56.1676 | − | 9.90387i | 0.322803 | − | 0.0569188i | ||||
\(175\) | 18.3351 | + | 15.3850i | 0.104772 | + | 0.0879142i | ||||
\(176\) | −49.7384 | + | 41.7355i | −0.282605 | + | 0.237134i | ||||
\(177\) | 13.4633 | − | 76.3543i | 0.0760640 | − | 0.431380i | ||||
\(178\) | 55.0754 | − | 95.3935i | 0.309413 | − | 0.535918i | ||||
\(179\) | −273.268 | + | 157.771i | −1.52664 | + | 0.881404i | −0.527137 | + | 0.849780i | \(0.676735\pi\) |
−0.999500 | + | 0.0316238i | \(0.989932\pi\) | |||||||
\(180\) | 68.8600 | − | 25.0630i | 0.382556 | − | 0.139239i | ||||
\(181\) | −52.6294 | − | 144.598i | −0.290770 | − | 0.798884i | −0.995954 | − | 0.0898599i | \(-0.971358\pi\) |
0.705185 | − | 0.709024i | \(-0.250864\pi\) | |||||||
\(182\) | −6.82778 | − | 11.8261i | −0.0375153 | − | 0.0649784i | ||||
\(183\) | −82.2656 | − | 47.4960i | −0.449539 | − | 0.259541i | ||||
\(184\) | 28.9801 | + | 5.10997i | 0.157500 | + | 0.0277716i | ||||
\(185\) | 151.446 | + | 180.486i | 0.818626 | + | 0.975600i | ||||
\(186\) | 10.4895 | − | 12.5009i | 0.0563951 | − | 0.0672091i | ||||
\(187\) | −20.6867 | − | 117.320i | −0.110624 | − | 0.627381i | ||||
\(188\) | −216.371 | − | 78.7527i | −1.15091 | − | 0.418897i | ||||
\(189\) | − | 5.24084i | − | 0.0277293i | ||||||
\(190\) | 92.8164 | − | 14.0176i | 0.488507 | − | 0.0737771i | ||||
\(191\) | 126.605 | 0.662855 | 0.331427 | − | 0.943481i | \(-0.392470\pi\) | ||||
0.331427 | + | 0.943481i | \(0.392470\pi\) | |||||||
\(192\) | 12.3263 | − | 33.8662i | 0.0641993 | − | 0.176386i | ||||
\(193\) | 72.6347 | − | 12.8075i | 0.376346 | − | 0.0663599i | 0.0177241 | − | 0.999843i | \(-0.494358\pi\) |
0.358622 | + | 0.933483i | \(0.383247\pi\) | |||||||
\(194\) | −69.0343 | − | 57.9266i | −0.355847 | − | 0.298591i | ||||
\(195\) | 177.190 | − | 148.680i | 0.908668 | − | 0.762463i | ||||
\(196\) | −29.1551 | + | 165.347i | −0.148750 | + | 0.843605i | ||||
\(197\) | −149.599 | + | 259.114i | −0.759388 | + | 1.31530i | 0.183776 | + | 0.982968i | \(0.441168\pi\) |
−0.943163 | + | 0.332330i | \(0.892165\pi\) | |||||||
\(198\) | 11.6585 | − | 6.73105i | 0.0588814 | − | 0.0339952i | ||||
\(199\) | 203.339 | − | 74.0095i | 1.02181 | − | 0.371907i | 0.223850 | − | 0.974624i | \(-0.428137\pi\) |
0.797955 | + | 0.602717i | \(0.205915\pi\) | |||||||
\(200\) | −43.0764 | − | 118.351i | −0.215382 | − | 0.591757i | ||||
\(201\) | −54.2507 | − | 93.9650i | −0.269904 | − | 0.467488i | ||||
\(202\) | −41.0782 | − | 23.7165i | −0.203358 | − | 0.117409i | ||||
\(203\) | 46.2145 | + | 8.14885i | 0.227657 | + | 0.0401421i | ||||
\(204\) | 73.1954 | + | 87.2309i | 0.358801 | + | 0.427602i | ||||
\(205\) | 66.9282 | − | 79.7619i | 0.326479 | − | 0.389083i | ||||
\(206\) | 13.7839 | + | 78.1725i | 0.0669122 | + | 0.379478i | ||||
\(207\) | 15.6307 | + | 5.68911i | 0.0755106 | + | 0.0274836i | ||||
\(208\) | − | 195.901i | − | 0.941833i | ||||||
\(209\) | −114.185 | + | 38.4015i | −0.546342 | + | 0.183739i | ||||
\(210\) | −8.63074 | −0.0410987 | ||||||||
\(211\) | −51.3222 | + | 141.007i | −0.243233 | + | 0.668277i | 0.756662 | + | 0.653806i | \(0.226829\pi\) |
−0.999895 | + | 0.0144713i | \(0.995393\pi\) | |||||||
\(212\) | −11.3946 | + | 2.00917i | −0.0537479 | + | 0.00947720i | ||||
\(213\) | 104.245 | + | 87.4721i | 0.489414 | + | 0.410667i | ||||
\(214\) | 25.1397 | − | 21.0947i | 0.117475 | − | 0.0985732i | ||||
\(215\) | 86.1530 | − | 488.598i | 0.400712 | − | 2.27255i | ||||
\(216\) | −13.7889 | + | 23.8830i | −0.0638374 | + | 0.110570i | ||||
\(217\) | 11.6281 | − | 6.71349i | 0.0535857 | − | 0.0309377i | ||||
\(218\) | 41.0614 | − | 14.9451i | 0.188355 | − | 0.0685556i | ||||
\(219\) | 79.2739 | + | 217.803i | 0.361981 | + | 0.994536i | ||||
\(220\) | 77.4381 | + | 134.127i | 0.351992 | + | 0.609667i | ||||
\(221\) | 311.280 | + | 179.718i | 1.40851 | + | 0.813202i | ||||
\(222\) | −40.7443 | − | 7.18433i | −0.183533 | − | 0.0323618i | ||||
\(223\) | −114.961 | − | 137.005i | −0.515519 | − | 0.614372i | 0.443996 | − | 0.896029i | \(-0.353560\pi\) |
−0.959515 | + | 0.281657i | \(0.909116\pi\) | |||||||
\(224\) | −18.4619 | + | 22.0021i | −0.0824193 | + | 0.0982235i | ||||
\(225\) | −12.3624 | − | 70.1106i | −0.0549439 | − | 0.311603i | ||||
\(226\) | −18.2005 | − | 6.62445i | −0.0805333 | − | 0.0293117i | ||||
\(227\) | 300.657i | 1.32448i | 0.749291 | + | 0.662241i | \(0.230394\pi\) | ||||
−0.749291 | + | 0.662241i | \(0.769606\pi\) | |||||||
\(228\) | 76.1694 | − | 86.3614i | 0.334076 | − | 0.378778i | ||||
\(229\) | −423.152 | −1.84782 | −0.923912 | − | 0.382605i | \(-0.875027\pi\) | ||||
−0.923912 | + | 0.382605i | \(0.875027\pi\) | |||||||
\(230\) | 9.36895 | − | 25.7410i | 0.0407346 | − | 0.111917i | ||||
\(231\) | 10.9083 | − | 1.92342i | 0.0472219 | − | 0.00832650i | ||||
\(232\) | −189.164 | − | 158.727i | −0.815362 | − | 0.684170i | ||||
\(233\) | −188.868 | + | 158.479i | −0.810592 | + | 0.680168i | −0.950749 | − | 0.309962i | \(-0.899684\pi\) |
0.140157 | + | 0.990129i | \(0.455239\pi\) | |||||||
\(234\) | −7.05313 | + | 40.0003i | −0.0301416 | + | 0.170941i | ||||
\(235\) | −229.682 | + | 397.820i | −0.977369 | + | 1.69285i | ||||
\(236\) | −135.647 | + | 78.3160i | −0.574776 | + | 0.331847i | ||||
\(237\) | −40.1383 | + | 14.6091i | −0.169360 | + | 0.0616419i | ||||
\(238\) | −4.58706 | − | 12.6028i | −0.0192734 | − | 0.0529531i | ||||
\(239\) | −207.326 | − | 359.098i | −0.867471 | − | 1.50250i | −0.864573 | − | 0.502508i | \(-0.832411\pi\) |
−0.00289799 | − | 0.999996i | \(-0.500922\pi\) | |||||||
\(240\) | −107.228 | − | 61.9078i | −0.446781 | − | 0.257949i | ||||
\(241\) | 251.284 | + | 44.3081i | 1.04267 | + | 0.183851i | 0.668656 | − | 0.743572i | \(-0.266870\pi\) |
0.374014 | + | 0.927423i | \(0.377981\pi\) | |||||||
\(242\) | −36.7565 | − | 43.8047i | −0.151886 | − | 0.181011i | ||||
\(243\) | −10.0201 | + | 11.9415i | −0.0412348 | + | 0.0491418i | ||||
\(244\) | 33.3239 | + | 188.989i | 0.136573 | + | 0.774546i | ||||
\(245\) | 314.755 | + | 114.561i | 1.28471 | + | 0.467597i | ||||
\(246\) | 18.2839i | 0.0743246i | ||||||||
\(247\) | 132.694 | − | 338.390i | 0.537223 | − | 1.37000i | ||||
\(248\) | −70.6540 | −0.284895 | ||||||||
\(249\) | −67.1476 | + | 184.486i | −0.269669 | + | 0.740909i | ||||
\(250\) | 6.17562 | − | 1.08893i | 0.0247025 | − | 0.00435571i | ||||
\(251\) | −136.308 | − | 114.376i | −0.543061 | − | 0.455683i | 0.329522 | − | 0.944148i | \(-0.393112\pi\) |
−0.872583 | + | 0.488465i | \(0.837557\pi\) | |||||||
\(252\) | −8.11060 | + | 6.80560i | −0.0321849 | + | 0.0270064i | ||||
\(253\) | −6.10472 | + | 34.6216i | −0.0241293 | + | 0.136844i | ||||
\(254\) | 0.540143 | − | 0.935556i | 0.00212655 | − | 0.00368329i | ||||
\(255\) | 196.739 | − | 113.587i | 0.771524 | − | 0.445440i | ||||
\(256\) | 7.33653 | − | 2.67028i | 0.0286583 | − | 0.0104308i | ||||
\(257\) | 110.492 | + | 303.575i | 0.429931 | + | 1.18123i | 0.945855 | + | 0.324591i | \(0.105227\pi\) |
−0.515924 | + | 0.856635i | \(0.672551\pi\) | |||||||
\(258\) | 43.5609 | + | 75.4496i | 0.168841 | + | 0.292440i | ||||
\(259\) | −29.4807 | − | 17.0207i | −0.113825 | − | 0.0657170i | ||||
\(260\) | −460.188 | − | 81.1436i | −1.76995 | − | 0.312091i | ||||
\(261\) | −89.7214 | − | 106.926i | −0.343760 | − | 0.409677i | ||||
\(262\) | −46.0312 | + | 54.8578i | −0.175692 | + | 0.209381i | ||||
\(263\) | −12.6227 | − | 71.5870i | −0.0479952 | − | 0.272194i | 0.951361 | − | 0.308079i | \(-0.0996861\pi\) |
−0.999356 | + | 0.0358850i | \(0.988575\pi\) | |||||||
\(264\) | −54.7707 | − | 19.9349i | −0.207465 | − | 0.0755110i | ||||
\(265\) | 23.0828i | 0.0871049i | ||||||||
\(266\) | −11.9090 | + | 6.48981i | −0.0447706 | + | 0.0243978i | ||||
\(267\) | −269.576 | −1.00965 | ||||||||
\(268\) | −74.9697 | + | 205.977i | −0.279738 | + | 0.768573i | ||||
\(269\) | 395.721 | − | 69.7763i | 1.47108 | − | 0.259391i | 0.620074 | − | 0.784544i | \(-0.287103\pi\) |
0.851008 | + | 0.525152i | \(0.175992\pi\) | |||||||
\(270\) | 19.6655 | + | 16.5013i | 0.0728350 | + | 0.0611158i | ||||
\(271\) | 12.9049 | − | 10.8285i | 0.0476196 | − | 0.0399576i | −0.618667 | − | 0.785653i | \(-0.712327\pi\) |
0.666287 | + | 0.745696i | \(0.267883\pi\) | |||||||
\(272\) | 33.4103 | − | 189.479i | 0.122832 | − | 0.696615i | ||||
\(273\) | −16.7099 | + | 28.9424i | −0.0612084 | + | 0.106016i | ||||
\(274\) | 14.0312 | − | 8.10090i | 0.0512087 | − | 0.0295653i | ||||
\(275\) | 141.391 | − | 51.4621i | 0.514149 | − | 0.187135i | ||||
\(276\) | −11.4932 | − | 31.5774i | −0.0416422 | − | 0.114411i | ||||
\(277\) | −29.6827 | − | 51.4119i | −0.107158 | − | 0.185603i | 0.807460 | − | 0.589922i | \(-0.200842\pi\) |
−0.914618 | + | 0.404320i | \(0.867508\pi\) | |||||||
\(278\) | 136.573 | + | 78.8506i | 0.491270 | + | 0.283635i | ||||
\(279\) | −39.3307 | − | 6.93507i | −0.140970 | − | 0.0248569i | ||||
\(280\) | 24.0196 | + | 28.6254i | 0.0857841 | + | 0.102234i | ||||
\(281\) | 38.2465 | − | 45.5804i | 0.136109 | − | 0.162208i | −0.693685 | − | 0.720279i | \(-0.744014\pi\) |
0.829793 | + | 0.558071i | \(0.188458\pi\) | |||||||
\(282\) | −14.0072 | − | 79.4390i | −0.0496711 | − | 0.281699i | ||||
\(283\) | 15.1683 | + | 5.52080i | 0.0535981 | + | 0.0195081i | 0.368680 | − | 0.929556i | \(-0.379810\pi\) |
−0.315082 | + | 0.949064i | \(0.602032\pi\) | |||||||
\(284\) | − | 274.916i | − | 0.968015i | ||||||
\(285\) | −143.286 | − | 179.567i | −0.502759 | − | 0.630061i | ||||
\(286\) | −85.8451 | −0.300158 | ||||||||
\(287\) | −5.14530 | + | 14.1366i | −0.0179279 | + | 0.0492565i | ||||
\(288\) | 84.1323 | − | 14.8348i | 0.292126 | − | 0.0515097i | ||||
\(289\) | 49.0387 | + | 41.1484i | 0.169684 | + | 0.142382i | ||||
\(290\) | −176.088 | + | 147.755i | −0.607200 | + | 0.509501i | ||||
\(291\) | −38.2979 | + | 217.198i | −0.131608 | + | 0.746385i | ||||
\(292\) | 234.125 | − | 405.516i | 0.801796 | − | 1.38875i | ||||
\(293\) | −108.314 | + | 62.5352i | −0.369673 | + | 0.213431i | −0.673316 | − | 0.739355i | \(-0.735130\pi\) |
0.303643 | + | 0.952786i | \(0.401797\pi\) | |||||||
\(294\) | −55.2711 | + | 20.1170i | −0.187997 | + | 0.0684253i | ||||
\(295\) | 106.875 | + | 293.636i | 0.362287 | + | 0.995375i | ||||
\(296\) | 89.5644 | + | 155.130i | 0.302582 | + | 0.524088i | ||||
\(297\) | −28.5323 | − | 16.4731i | −0.0960684 | − | 0.0554651i | ||||
\(298\) | −20.0237 | − | 3.53071i | −0.0671935 | − | 0.0118480i | ||||
\(299\) | −68.1808 | − | 81.2548i | −0.228030 | − | 0.271755i | ||||
\(300\) | −92.4480 | + | 110.175i | −0.308160 | + | 0.367251i | ||||
\(301\) | 12.4477 | + | 70.5943i | 0.0413544 | + | 0.234533i | ||||
\(302\) | −35.6644 | − | 12.9808i | −0.118094 | − | 0.0429827i | ||||
\(303\) | 116.085i | 0.383118i | ||||||||
\(304\) | −194.507 | − | 4.79366i | −0.639826 | − | 0.0157686i | ||||
\(305\) | 382.850 | 1.25524 | ||||||||
\(306\) | −13.6438 | + | 37.4861i | −0.0445877 | + | 0.122504i | ||||
\(307\) | −103.954 | + | 18.3300i | −0.338614 | + | 0.0597068i | −0.340370 | − | 0.940292i | \(-0.610552\pi\) |
0.00175580 | + | 0.999998i | \(0.499441\pi\) | |||||||
\(308\) | −17.1418 | − | 14.3837i | −0.0556552 | − | 0.0467003i | ||||
\(309\) | 148.816 | − | 124.872i | 0.481606 | − | 0.404115i | ||||
\(310\) | −11.4208 | + | 64.7708i | −0.0368414 | + | 0.208938i | ||||
\(311\) | 139.497 | − | 241.616i | 0.448543 | − | 0.776899i | −0.549749 | − | 0.835330i | \(-0.685276\pi\) |
0.998291 | + | 0.0584312i | \(0.0186098\pi\) | |||||||
\(312\) | 152.297 | − | 87.9289i | 0.488132 | − | 0.281823i | ||||
\(313\) | 244.049 | − | 88.8266i | 0.779709 | − | 0.283791i | 0.0786579 | − | 0.996902i | \(-0.474937\pi\) |
0.701051 | + | 0.713111i | \(0.252714\pi\) | |||||||
\(314\) | 23.5304 | + | 64.6492i | 0.0749375 | + | 0.205889i | ||||
\(315\) | 10.5612 | + | 18.2925i | 0.0335275 | + | 0.0580713i | ||||
\(316\) | 74.7311 | + | 43.1460i | 0.236491 | + | 0.136538i | ||||
\(317\) | 421.691 | + | 74.3554i | 1.33025 | + | 0.234560i | 0.793186 | − | 0.608979i | \(-0.208421\pi\) |
0.537068 | + | 0.843539i | \(0.319532\pi\) | |||||||
\(318\) | −2.60545 | − | 3.10505i | −0.00819322 | − | 0.00976430i | ||||
\(319\) | 189.627 | − | 225.988i | 0.594441 | − | 0.708427i | ||||
\(320\) | 25.2227 | + | 143.045i | 0.0788208 | + | 0.447015i | ||||
\(321\) | −75.4718 | − | 27.4695i | −0.235115 | − | 0.0855748i | ||||
\(322\) | 3.95783i | 0.0122914i | ||||||||
\(323\) | 186.055 | − | 304.667i | 0.576023 | − | 0.943241i | ||||
\(324\) | 31.4921 | 0.0971978 | ||||||||
\(325\) | −155.270 | + | 426.599i | −0.477752 | + | 1.31261i | ||||
\(326\) | 99.0115 | − | 17.4584i | 0.303716 | − | 0.0535534i | ||||
\(327\) | −81.9210 | − | 68.7399i | −0.250523 | − | 0.210214i | ||||
\(328\) | 60.6417 | − | 50.8844i | 0.184883 | − | 0.155136i | ||||
\(329\) | 11.5251 | − | 65.3620i | 0.0350307 | − | 0.198669i | ||||
\(330\) | −27.1284 | + | 46.9877i | −0.0822072 | + | 0.142387i | ||||
\(331\) | 157.466 | − | 90.9131i | 0.475728 | − | 0.274662i | −0.242906 | − | 0.970050i | \(-0.578101\pi\) |
0.718635 | + | 0.695388i | \(0.244767\pi\) | |||||||
\(332\) | 372.703 | − | 135.653i | 1.12260 | − | 0.408593i | ||||
\(333\) | 34.6307 | + | 95.1471i | 0.103996 | + | 0.285727i | ||||
\(334\) | −56.0006 | − | 96.9958i | −0.167666 | − | 0.290407i | ||||
\(335\) | 378.710 | + | 218.648i | 1.13048 | + | 0.652682i | ||||
\(336\) | 17.6175 | + | 3.10644i | 0.0524331 | + | 0.00924537i | ||||
\(337\) | 23.3632 | + | 27.8432i | 0.0693269 | + | 0.0826206i | 0.799593 | − | 0.600542i | \(-0.205048\pi\) |
−0.730266 | + | 0.683163i | \(0.760604\pi\) | |||||||
\(338\) | 89.6062 | − | 106.789i | 0.265107 | − | 0.315942i | ||||
\(339\) | 8.23118 | + | 46.6813i | 0.0242808 | + | 0.137703i | ||||
\(340\) | −431.264 | − | 156.967i | −1.26842 | − | 0.461668i | ||||
\(341\) | − | 84.4081i | − | 0.247531i | ||||||
\(342\) | 39.5430 | + | 7.98173i | 0.115623 | + | 0.0233384i | ||||
\(343\) | −97.8168 | −0.285180 | ||||||||
\(344\) | 129.011 | − | 354.456i | 0.375033 | − | 1.03039i | ||||
\(345\) | −66.0214 | + | 11.6413i | −0.191366 | + | 0.0337430i | ||||
\(346\) | −43.1118 | − | 36.1751i | −0.124601 | − | 0.104552i | ||||
\(347\) | −474.726 | + | 398.343i | −1.36809 | + | 1.14796i | −0.394697 | + | 0.918812i | \(0.629150\pi\) |
−0.973391 | + | 0.229150i | \(0.926405\pi\) | |||||||
\(348\) | −48.9663 | + | 277.702i | −0.140708 | + | 0.797993i | ||||
\(349\) | −78.3305 | + | 135.672i | −0.224443 | + | 0.388746i | −0.956152 | − | 0.292871i | \(-0.905389\pi\) |
0.731709 | + | 0.681617i | \(0.238723\pi\) | |||||||
\(350\) | 14.6699 | − | 8.46967i | 0.0419140 | − | 0.0241991i | ||||
\(351\) | 93.4096 | − | 33.9983i | 0.266124 | − | 0.0968613i | ||||
\(352\) | 61.7542 | + | 169.668i | 0.175438 | + | 0.482012i | ||||
\(353\) | −280.147 | − | 485.229i | −0.793617 | − | 1.37459i | −0.923713 | − | 0.383084i | \(-0.874862\pi\) |
0.130096 | − | 0.991501i | \(-0.458471\pi\) | |||||||
\(354\) | −47.5203 | − | 27.4359i | −0.134238 | − | 0.0775025i | ||||
\(355\) | −540.125 | − | 95.2386i | −1.52148 | − | 0.268278i | ||||
\(356\) | 350.064 | + | 417.190i | 0.983326 | + | 1.17188i | ||||
\(357\) | −21.0981 | + | 25.1438i | −0.0590984 | + | 0.0704308i | ||||
\(358\) | 38.7789 | + | 219.926i | 0.108321 | + | 0.614318i | ||||
\(359\) | −395.428 | − | 143.924i | −1.10147 | − | 0.400903i | −0.273613 | − | 0.961840i | \(-0.588219\pi\) |
−0.827858 | + | 0.560937i | \(0.810441\pi\) | |||||||
\(360\) | − | 111.148i | − | 0.308743i | ||||||
\(361\) | −332.735 | − | 140.030i | −0.921704 | − | 0.387895i | ||||
\(362\) | −108.904 | −0.300839 | ||||||||
\(363\) | −47.8643 | + | 131.506i | −0.131858 | + | 0.362276i | ||||
\(364\) | 66.4895 | − | 11.7239i | 0.182663 | − | 0.0322085i | ||||
\(365\) | −715.605 | − | 600.464i | −1.96056 | − | 1.64511i | ||||
\(366\) | −51.5001 | + | 43.2137i | −0.140711 | + | 0.118070i | ||||
\(367\) | −2.80817 | + | 15.9259i | −0.00765168 | + | 0.0433948i | −0.988395 | − | 0.151909i | \(-0.951458\pi\) |
0.980743 | + | 0.195303i | \(0.0625692\pi\) | |||||||
\(368\) | −28.3893 | + | 49.1717i | −0.0771448 | + | 0.133619i | ||||
\(369\) | 38.7518 | − | 22.3734i | 0.105019 | − | 0.0606325i | ||||
\(370\) | 156.690 | − | 57.0306i | 0.423487 | − | 0.154137i | ||||
\(371\) | −1.14066 | − | 3.13395i | −0.00307457 | − | 0.00844730i | ||||
\(372\) | 40.3412 | + | 69.8730i | 0.108444 | + | 0.187831i | ||||
\(373\) | 274.684 | + | 158.589i | 0.736419 | + | 0.425172i | 0.820766 | − | 0.571265i | \(-0.193547\pi\) |
−0.0843469 | + | 0.996436i | \(0.526880\pi\) | |||||||
\(374\) | −83.0309 | − | 14.6406i | −0.222008 | − | 0.0391460i | ||||
\(375\) | −9.86484 | − | 11.7565i | −0.0263062 | − | 0.0313506i | ||||
\(376\) | −224.491 | + | 267.538i | −0.597052 | + | 0.711538i | ||||
\(377\) | 154.561 | + | 876.562i | 0.409977 | + | 2.32510i | ||||
\(378\) | −3.48541 | − | 1.26858i | −0.00922065 | − | 0.00335604i | ||||
\(379\) | − | 461.855i | − | 1.21861i | −0.792934 | − | 0.609307i | \(-0.791448\pi\) | ||
0.792934 | − | 0.609307i | \(-0.208552\pi\) | |||||||
\(380\) | −91.8268 | + | 454.927i | −0.241649 | + | 1.19718i | ||||
\(381\) | −2.64383 | −0.00693918 | ||||||||
\(382\) | 30.6458 | − | 84.1985i | 0.0802245 | − | 0.220415i | ||||
\(383\) | −637.438 | + | 112.397i | −1.66433 | + | 0.293466i | −0.925025 | − | 0.379907i | \(-0.875956\pi\) |
−0.739303 | + | 0.673373i | \(0.764845\pi\) | |||||||
\(384\) | −170.674 | − | 143.212i | −0.444463 | − | 0.372949i | ||||
\(385\) | −34.1979 | + | 28.6954i | −0.0888256 | + | 0.0745336i | ||||
\(386\) | 9.06421 | − | 51.4057i | 0.0234824 | − | 0.133175i | ||||
\(387\) | 106.608 | − | 184.651i | 0.275473 | − | 0.477134i | ||||
\(388\) | 385.863 | − | 222.778i | 0.994493 | − | 0.574171i | ||||
\(389\) | −79.8138 | + | 29.0498i | −0.205177 | + | 0.0746782i | −0.442564 | − | 0.896737i | \(-0.645931\pi\) |
0.237387 | + | 0.971415i | \(0.423709\pi\) | |||||||
\(390\) | −55.9892 | − | 153.829i | −0.143562 | − | 0.394434i | ||||
\(391\) | −52.0880 | − | 90.2191i | −0.133217 | − | 0.230739i | ||||
\(392\) | 220.543 | + | 127.330i | 0.562609 | + | 0.324822i | ||||
\(393\) | 172.596 | + | 30.4333i | 0.439175 | + | 0.0774384i | ||||
\(394\) | 136.111 | + | 162.211i | 0.345460 | + | 0.411703i | ||||
\(395\) | 110.658 | − | 131.877i | 0.280146 | − | 0.333865i | ||||
\(396\) | 11.5578 | + | 65.5475i | 0.0291864 | + | 0.165524i | ||||
\(397\) | 182.689 | + | 66.4933i | 0.460174 | + | 0.167490i | 0.561696 | − | 0.827344i | \(-0.310149\pi\) |
−0.101522 | + | 0.994833i | \(0.532371\pi\) | |||||||
\(398\) | − | 153.145i | − | 0.384786i | ||||||
\(399\) | 28.3275 | + | 17.2992i | 0.0709962 | + | 0.0433563i | ||||
\(400\) | 243.010 | 0.607525 | ||||||||
\(401\) | −136.802 | + | 375.859i | −0.341151 | + | 0.937305i | 0.643910 | + | 0.765101i | \(0.277311\pi\) |
−0.985061 | + | 0.172204i | \(0.944911\pi\) | |||||||
\(402\) | −75.6230 | + | 13.3344i | −0.188117 | + | 0.0331701i | ||||
\(403\) | 195.091 | + | 163.701i | 0.484097 | + | 0.406205i | ||||
\(404\) | 179.650 | − | 150.744i | 0.444678 | − | 0.373129i | ||||
\(405\) | 10.9097 | − | 61.8722i | 0.0269376 | − | 0.152771i | ||||
\(406\) | 16.6059 | − | 28.7623i | 0.0409013 | − | 0.0708431i | ||||
\(407\) | −185.329 | + | 107.000i | −0.455354 | + | 0.262899i | ||||
\(408\) | 162.301 | − | 59.0726i | 0.397796 | − | 0.144786i | ||||
\(409\) | 117.529 | + | 322.910i | 0.287358 | + | 0.789510i | 0.996434 | + | 0.0843776i | \(0.0268902\pi\) |
−0.709076 | + | 0.705132i | \(0.750888\pi\) | |||||||
\(410\) | −36.8450 | − | 63.8174i | −0.0898659 | − | 0.155652i | ||||
\(411\) | −34.3390 | − | 19.8256i | −0.0835499 | − | 0.0482376i | ||||
\(412\) | −386.497 | − | 68.1498i | −0.938099 | − | 0.165412i | ||||
\(413\) | −29.0207 | − | 34.5855i | −0.0702680 | − | 0.0837422i | ||||
\(414\) | 7.56705 | − | 9.01806i | 0.0182779 | − | 0.0217828i | ||||
\(415\) | −137.401 | − | 779.239i | −0.331087 | − | 1.87769i | ||||
\(416\) | −511.917 | − | 186.323i | −1.23057 | − | 0.447891i | ||||
\(417\) | − | 385.948i | − | 0.925534i | ||||||
\(418\) | −2.10061 | + | 85.2341i | −0.00502538 | + | 0.203909i | ||||
\(419\) | 218.717 | 0.521997 | 0.260998 | − | 0.965339i | \(-0.415948\pi\) | ||||
0.260998 | + | 0.965339i | \(0.415948\pi\) | |||||||
\(420\) | 14.5946 | − | 40.0983i | 0.0347490 | − | 0.0954721i | ||||
\(421\) | 133.710 | − | 23.5766i | 0.317600 | − | 0.0560015i | −0.0125756 | − | 0.999921i | \(-0.504003\pi\) |
0.330176 | + | 0.943919i | \(0.392892\pi\) | |||||||
\(422\) | 81.3531 | + | 68.2634i | 0.192780 | + | 0.161762i | ||||
\(423\) | −151.227 | + | 126.895i | −0.357511 | + | 0.299988i | ||||
\(424\) | −3.04743 | + | 17.2829i | −0.00718734 | + | 0.0407615i | ||||
\(425\) | −222.935 | + | 386.134i | −0.524552 | + | 0.908551i | ||||
\(426\) | 83.4064 | − | 48.1547i | 0.195790 | − | 0.113039i | ||||
\(427\) | −51.9794 | + | 18.9190i | −0.121732 | + | 0.0443067i | ||||
\(428\) | 55.4944 | + | 152.470i | 0.129660 | + | 0.356237i | ||||
\(429\) | 105.046 | + | 181.945i | 0.244862 | + | 0.424114i | ||||
\(430\) | −304.087 | − | 175.565i | −0.707179 | − | 0.408290i | ||||
\(431\) | −71.1607 | − | 12.5475i | −0.165106 | − | 0.0291126i | 0.0904840 | − | 0.995898i | \(-0.471159\pi\) |
−0.255590 | + | 0.966785i | \(0.582270\pi\) | |||||||
\(432\) | −34.2029 | − | 40.7614i | −0.0791734 | − | 0.0943552i | ||||
\(433\) | −324.779 | + | 387.057i | −0.750067 | + | 0.893895i | −0.997177 | − | 0.0750923i | \(-0.976075\pi\) |
0.247109 | + | 0.968988i | \(0.420519\pi\) | |||||||
\(434\) | −1.65012 | − | 9.35829i | −0.00380212 | − | 0.0215629i | ||||
\(435\) | 528.634 | + | 192.407i | 1.21525 | + | 0.442315i | ||||
\(436\) | 216.043i | 0.495511i | ||||||||
\(437\) | −82.3448 | + | 65.7073i | −0.188432 | + | 0.150360i | ||||
\(438\) | 164.038 | 0.374517 | ||||||||
\(439\) | 28.1483 | − | 77.3368i | 0.0641192 | − | 0.176166i | −0.903496 | − | 0.428597i | \(-0.859008\pi\) |
0.967615 | + | 0.252431i | \(0.0812302\pi\) | |||||||
\(440\) | 231.342 | − | 40.7919i | 0.525778 | − | 0.0927088i | ||||
\(441\) | 110.271 | + | 92.5281i | 0.250047 | + | 0.209814i | ||||
\(442\) | 194.868 | − | 163.514i | 0.440879 | − | 0.369941i | ||||
\(443\) | −24.6983 | + | 140.071i | −0.0557524 | + | 0.316188i | −0.999912 | − | 0.0133021i | \(-0.995766\pi\) |
0.944159 | + | 0.329490i | \(0.106877\pi\) | |||||||
\(444\) | 102.277 | − | 177.149i | 0.230353 | − | 0.398984i | ||||
\(445\) | 940.921 | − | 543.241i | 2.11443 | − | 1.22077i | ||||
\(446\) | −118.942 | + | 43.2913i | −0.266686 | + | 0.0970657i | ||||
\(447\) | 17.0191 | + | 46.7597i | 0.0380741 | + | 0.104608i | ||||
\(448\) | −10.4932 | − | 18.1748i | −0.0234223 | − | 0.0405687i | ||||
\(449\) | −234.051 | − | 135.129i | −0.521271 | − | 0.300956i | 0.216183 | − | 0.976353i | \(-0.430639\pi\) |
−0.737455 | + | 0.675397i | \(0.763972\pi\) | |||||||
\(450\) | −49.6193 | − | 8.74921i | −0.110265 | − | 0.0194427i | ||||
\(451\) | 60.7901 | + | 72.4468i | 0.134790 | + | 0.160636i | ||||
\(452\) | 61.5542 | − | 73.3574i | 0.136182 | − | 0.162295i | ||||
\(453\) | 16.1292 | + | 91.4732i | 0.0356053 | + | 0.201928i | ||||
\(454\) | 199.951 | + | 72.7764i | 0.440422 | + | 0.160300i | ||||
\(455\) | − | 134.693i | − | 0.296028i | ||||||
\(456\) | −83.5764 | − | 153.365i | −0.183282 | − | 0.336327i | ||||
\(457\) | −703.941 | −1.54035 | −0.770177 | − | 0.637831i | \(-0.779832\pi\) | ||||
−0.770177 | + | 0.637831i | \(0.779832\pi\) | |||||||
\(458\) | −102.427 | + | 281.416i | −0.223640 | + | 0.614445i | ||||
\(459\) | 96.1458 | − | 16.9531i | 0.209468 | − | 0.0369348i | ||||
\(460\) | 103.749 | + | 87.0560i | 0.225542 | + | 0.189252i | ||||
\(461\) | 54.9805 | − | 46.1341i | 0.119264 | − | 0.100074i | −0.581205 | − | 0.813757i | \(-0.697419\pi\) |
0.700469 | + | 0.713683i | \(0.252974\pi\) | |||||||
\(462\) | 1.36126 | − | 7.72010i | 0.00294645 | − | 0.0167102i | ||||
\(463\) | 48.6437 | − | 84.2533i | 0.105062 | − | 0.181973i | −0.808702 | − | 0.588219i | \(-0.799829\pi\) |
0.913764 | + | 0.406247i | \(0.133163\pi\) | |||||||
\(464\) | 412.621 | − | 238.227i | 0.889270 | − | 0.513420i | ||||
\(465\) | 151.254 | − | 55.0520i | 0.325278 | − | 0.118391i | ||||
\(466\) | 59.6792 | + | 163.967i | 0.128067 | + | 0.351861i | ||||
\(467\) | 53.2974 | + | 92.3138i | 0.114127 | + | 0.197674i | 0.917431 | − | 0.397896i | \(-0.130260\pi\) |
−0.803303 | + | 0.595570i | \(0.796926\pi\) | |||||||
\(468\) | −173.914 | − | 100.409i | −0.371611 | − | 0.214550i | ||||
\(469\) | −62.2222 | − | 10.9715i | −0.132670 | − | 0.0233933i | ||||
\(470\) | 208.973 | + | 249.045i | 0.444624 | + | 0.529882i | ||||
\(471\) | 108.228 | − | 128.981i | 0.229783 | − | 0.273845i | ||||
\(472\) | 41.2543 | + | 233.965i | 0.0874031 | + | 0.495688i | ||||
\(473\) | 423.457 | + | 154.126i | 0.895258 | + | 0.325847i | ||||
\(474\) | 30.2301i | 0.0637766i | ||||||||
\(475\) | 419.764 | + | 164.603i | 0.883713 | + | 0.346533i | ||||
\(476\) | 66.3094 | 0.139305 | ||||||||
\(477\) | −3.39281 | + | 9.32168i | −0.00711282 | + | 0.0195423i | ||||
\(478\) | −289.002 | + | 50.9589i | −0.604607 | + | 0.106609i | ||||
\(479\) | −459.499 | − | 385.565i | −0.959288 | − | 0.804938i | 0.0215492 | − | 0.999768i | \(-0.493140\pi\) |
−0.980837 | + | 0.194830i | \(0.937585\pi\) | |||||||
\(480\) | −263.758 | + | 221.320i | −0.549497 | + | 0.461082i | ||||
\(481\) | 112.120 | − | 635.863i | 0.233097 | − | 1.32196i | ||||
\(482\) | 90.2920 | − | 156.390i | 0.187328 | − | 0.324461i | ||||
\(483\) | 8.38844 | − | 4.84307i | 0.0173674 | − | 0.0100271i | ||||
\(484\) | 265.671 | − | 96.6964i | 0.548907 | − | 0.199786i | ||||
\(485\) | −304.016 | − | 835.278i | −0.626838 | − | 1.72222i | ||||
\(486\) | 5.51620 | + | 9.55434i | 0.0113502 | + | 0.0196591i | ||||
\(487\) | 381.230 | + | 220.103i | 0.782813 | + | 0.451957i | 0.837426 | − | 0.546550i | \(-0.184059\pi\) |
−0.0546135 | + | 0.998508i | \(0.517393\pi\) | |||||||
\(488\) | 286.652 | + | 50.5445i | 0.587402 | + | 0.103575i | ||||
\(489\) | −158.160 | − | 188.487i | −0.323435 | − | 0.385455i | ||||
\(490\) | 152.377 | − | 181.596i | 0.310974 | − | 0.370605i | ||||
\(491\) | −78.0781 | − | 442.803i | −0.159019 | − | 0.901839i | −0.955019 | − | 0.296544i | \(-0.904166\pi\) |
0.796001 | − | 0.605296i | \(-0.206945\pi\) | |||||||
\(492\) | −84.9465 | − | 30.9180i | −0.172656 | − | 0.0628415i | ||||
\(493\) | 874.187i | 1.77320i | ||||||||
\(494\) | −192.926 | − | 170.158i | −0.390539 | − | 0.344449i | ||||
\(495\) | 132.784 | 0.268251 | ||||||||
\(496\) | 46.6256 | − | 128.103i | 0.0940033 | − | 0.258272i | ||||
\(497\) | 78.0390 | − | 13.7604i | 0.157020 | − | 0.0276869i | ||||
\(498\) | 106.439 | + | 89.3127i | 0.213732 | + | 0.179343i | ||||
\(499\) | 201.808 | − | 169.337i | 0.404426 | − | 0.339354i | −0.417776 | − | 0.908550i | \(-0.637190\pi\) |
0.822201 | + | 0.569197i | \(0.192746\pi\) | |||||||
\(500\) | −5.38383 | + | 30.5332i | −0.0107677 | + | 0.0610664i | ||||
\(501\) | −137.052 | + | 237.382i | −0.273557 | + | 0.473815i | ||||
\(502\) | −109.060 | + | 62.9659i | −0.217251 | + | 0.125430i | ||||
\(503\) | −21.7018 | + | 7.89881i | −0.0431448 | + | 0.0157034i | −0.363502 | − | 0.931593i | \(-0.618419\pi\) |
0.320358 | + | 0.947297i | \(0.396197\pi\) | |||||||
\(504\) | 5.49249 | + | 15.0905i | 0.0108978 | + | 0.0299414i | ||||
\(505\) | −233.930 | − | 405.178i | −0.463227 | − | 0.802333i | ||||
\(506\) | 21.5473 | + | 12.4404i | 0.0425836 | + | 0.0245857i | ||||
\(507\) | −335.982 | − | 59.2427i | −0.662686 | − | 0.116849i | ||||
\(508\) | 3.43320 | + | 4.09152i | 0.00675826 | + | 0.00805418i | ||||
\(509\) | 358.632 | − | 427.401i | 0.704582 | − | 0.839688i | −0.288455 | − | 0.957493i | \(-0.593142\pi\) |
0.993037 | + | 0.117806i | \(0.0375860\pi\) | |||||||
\(510\) | −27.9188 | − | 158.335i | −0.0547426 | − | 0.310461i | ||||
\(511\) | 126.830 | + | 46.1624i | 0.248200 | + | 0.0903375i | ||||
\(512\) | 509.007i | 0.994153i | ||||||||
\(513\) | −31.4706 | − | 93.5767i | −0.0613462 | − | 0.182411i | ||||
\(514\) | 228.637 | 0.444819 | ||||||||
\(515\) | −267.786 | + | 735.737i | −0.519974 | + | 1.42862i | ||||
\(516\) | −424.199 | + | 74.7978i | −0.822092 | + | 0.144957i | ||||
\(517\) | −319.620 | − | 268.193i | −0.618220 | − | 0.518748i | ||||
\(518\) | −18.4556 | + | 15.4861i | −0.0356286 | + | 0.0298959i | ||||
\(519\) | −23.9170 | + | 135.640i | −0.0460829 | + | 0.261349i | ||||
\(520\) | −354.383 | + | 613.809i | −0.681505 | + | 1.18040i | ||||
\(521\) | −755.639 | + | 436.268i | −1.45036 | + | 0.837367i | −0.998502 | − | 0.0547220i | \(-0.982573\pi\) |
−0.451860 | + | 0.892089i | \(0.649239\pi\) | |||||||
\(522\) | −92.8285 | + | 33.7868i | −0.177832 | + | 0.0647257i | ||||
\(523\) | 252.777 | + | 694.499i | 0.483321 | + | 1.32791i | 0.906629 | + | 0.421929i | \(0.138647\pi\) |
−0.423308 | + | 0.905986i | \(0.639131\pi\) | |||||||
\(524\) | −177.030 | − | 306.625i | −0.337843 | − | 0.585162i | ||||
\(525\) | −35.9022 | − | 20.7281i | −0.0683851 | − | 0.0394822i | ||||
\(526\) | −50.6642 | − | 8.93347i | −0.0963198 | − | 0.0169838i | ||||
\(527\) | 160.777 | + | 191.606i | 0.305080 | + | 0.363580i | ||||
\(528\) | 72.2880 | − | 86.1495i | 0.136909 | − | 0.163162i | ||||
\(529\) | −86.5215 | − | 490.688i | −0.163557 | − | 0.927576i | ||||
\(530\) | 15.3512 | + | 5.58736i | 0.0289644 | + | 0.0105422i | ||||
\(531\) | 134.290i | 0.252900i | ||||||||
\(532\) | −10.0135 | − | 66.3032i | −0.0188223 | − | 0.124630i | ||||
\(533\) | −285.341 | −0.535349 | ||||||||
\(534\) | −65.2530 | + | 179.281i | −0.122197 | + | 0.335732i | ||||
\(535\) | 318.780 | − | 56.2095i | 0.595851 | − | 0.105065i | ||||
\(536\) | 254.687 | + | 213.707i | 0.475162 | + | 0.398708i | ||||
\(537\) | 418.671 | − | 351.307i | 0.779648 | − | 0.654202i | ||||
\(538\) | 49.3827 | − | 280.063i | 0.0917894 | − | 0.520563i | ||||
\(539\) | −152.118 | + | 263.476i | −0.282222 | + | 0.488823i | ||||
\(540\) | −109.919 | + | 63.4618i | −0.203554 | + | 0.117522i | ||||
\(541\) | −414.686 | + | 150.933i | −0.766518 | + | 0.278990i | −0.695539 | − | 0.718488i | \(-0.744835\pi\) |
−0.0709789 | + | 0.997478i | \(0.522612\pi\) | |||||||
\(542\) | −4.07774 | − | 11.2035i | −0.00752350 | − | 0.0206707i | ||||
\(543\) | 133.262 | + | 230.817i | 0.245418 | + | 0.425077i | ||||
\(544\) | −463.359 | − | 267.521i | −0.851763 | − | 0.491766i | ||||
\(545\) | 424.457 | + | 74.8432i | 0.778820 | + | 0.137327i | ||||
\(546\) | 15.2033 | + | 18.1186i | 0.0278449 | + | 0.0331842i | ||||
\(547\) | −273.163 | + | 325.543i | −0.499384 | + | 0.595142i | −0.955578 | − | 0.294738i | \(-0.904768\pi\) |
0.456195 | + | 0.889880i | \(0.349212\pi\) | |||||||
\(548\) | 13.9099 | + | 78.8872i | 0.0253831 | + | 0.143955i | ||||
\(549\) | 154.609 | + | 56.2730i | 0.281619 | + | 0.102501i | ||||
\(550\) | − | 106.488i | − | 0.193615i | ||||||
\(551\) | 874.105 | − | 132.012i | 1.58640 | − | 0.239587i | ||||
\(552\) | −50.9693 | −0.0923357 | ||||||||
\(553\) | −8.50713 | + | 23.3731i | −0.0153836 | + | 0.0422661i | ||||
\(554\) | −41.3763 | + | 7.29576i | −0.0746864 | + | 0.0131692i | ||||
\(555\) | −312.611 | − | 262.312i | −0.563263 | − | 0.472634i | ||||
\(556\) | −597.284 | + | 501.181i | −1.07425 | + | 0.901404i | ||||
\(557\) | −28.4106 | + | 161.124i | −0.0510064 | + | 0.289272i | −0.999632 | − | 0.0271292i | \(-0.991363\pi\) |
0.948625 | + | 0.316401i | \(0.102475\pi\) | |||||||
\(558\) | −14.1324 | + | 24.4781i | −0.0253270 | + | 0.0438676i | ||||
\(559\) | −1177.48 | + | 679.818i | −2.10640 | + | 1.21613i | ||||
\(560\) | −67.7516 | + | 24.6596i | −0.120985 | + | 0.0440350i | ||||
\(561\) | 70.5722 | + | 193.896i | 0.125797 | + | 0.345625i | ||||
\(562\) | −21.0553 | − | 36.4688i | −0.0374649 | − | 0.0648912i | ||||
\(563\) | −59.6883 | − | 34.4611i | −0.106018 | − | 0.0612097i | 0.446053 | − | 0.895006i | \(-0.352829\pi\) |
−0.552072 | + | 0.833797i | \(0.686163\pi\) | |||||||
\(564\) | 392.759 | + | 69.2540i | 0.696381 | + | 0.122791i | ||||
\(565\) | −122.801 | − | 146.348i | −0.217346 | − | 0.259023i | ||||
\(566\) | 7.34319 | − | 8.75127i | 0.0129738 | − | 0.0154616i | ||||
\(567\) | 1.57627 | + | 8.93950i | 0.00278003 | + | 0.0157663i | ||||
\(568\) | −391.836 | − | 142.617i | −0.689852 | − | 0.251086i | ||||
\(569\) | − | 782.345i | − | 1.37495i | −0.726209 | − | 0.687474i | \(-0.758720\pi\) | ||
0.726209 | − | 0.687474i | \(-0.241280\pi\) | |||||||
\(570\) | −154.104 | + | 51.8266i | −0.270358 | + | 0.0909238i | ||||
\(571\) | 293.620 | 0.514220 | 0.257110 | − | 0.966382i | \(-0.417230\pi\) | ||||
0.257110 | + | 0.966382i | \(0.417230\pi\) | |||||||
\(572\) | 145.164 | − | 398.835i | 0.253783 | − | 0.697264i | ||||
\(573\) | −215.955 | + | 38.0787i | −0.376885 | + | 0.0664551i | ||||
\(574\) | 8.15606 | + | 6.84374i | 0.0142092 | + | 0.0119229i | ||||
\(575\) | 100.794 | − | 84.5764i | 0.175294 | − | 0.147089i | ||||
\(576\) | −10.8395 | + | 61.4741i | −0.0188186 | + | 0.106726i | ||||
\(577\) | 180.983 | − | 313.471i | 0.313661 | − | 0.543278i | −0.665491 | − | 0.746406i | \(-0.731778\pi\) |
0.979152 | + | 0.203129i | \(0.0651110\pi\) | |||||||
\(578\) | 39.2358 | − | 22.6528i | 0.0678821 | − | 0.0391917i | ||||
\(579\) | −120.044 | + | 43.6923i | −0.207329 | + | 0.0754617i | ||||
\(580\) | −388.704 | − | 1067.96i | −0.670180 | − | 1.84130i | ||||
\(581\) | 57.1620 | + | 99.0074i | 0.0983855 | + | 0.170409i | ||||
\(582\) | 135.177 | + | 78.0444i | 0.232263 | + | 0.134097i | ||||
\(583\) | −20.6473 | − | 3.64067i | −0.0354156 | − | 0.00624473i | ||||
\(584\) | −456.523 | − | 544.063i | −0.781717 | − | 0.931615i | ||||
\(585\) | −257.522 | + | 306.902i | −0.440208 | + | 0.524620i | ||||
\(586\) | 15.3706 | + | 87.1712i | 0.0262297 | + | 0.148756i | ||||
\(587\) | 312.050 | + | 113.577i | 0.531602 | + | 0.193487i | 0.593853 | − | 0.804573i | \(-0.297606\pi\) |
−0.0622515 | + | 0.998060i | \(0.519828\pi\) | |||||||
\(588\) | − | 290.807i | − | 0.494569i | ||||||
\(589\) | 167.309 | − | 189.697i | 0.284057 | − | 0.322066i | ||||
\(590\) | 221.151 | 0.374833 | ||||||||
\(591\) | 177.244 | − | 486.974i | 0.299906 | − | 0.823984i | ||||
\(592\) | −340.372 | + | 60.0167i | −0.574952 | + | 0.101380i | ||||
\(593\) | 834.924 | + | 700.585i | 1.40797 | + | 1.18142i | 0.957430 | + | 0.288666i | \(0.0932118\pi\) |
0.450537 | + | 0.892758i | \(0.351233\pi\) | |||||||
\(594\) | −17.8619 | + | 14.9879i | −0.0300705 | + | 0.0252322i | ||||
\(595\) | 22.9714 | − | 130.277i | 0.0386074 | − | 0.218953i | ||||
\(596\) | 50.2637 | − | 87.0592i | 0.0843350 | − | 0.146073i | ||||
\(597\) | −324.584 | + | 187.399i | −0.543691 | + | 0.313900i | ||||
\(598\) | −70.5420 | + | 25.6752i | −0.117963 | + | 0.0429351i | ||||
\(599\) | 68.3102 | + | 187.681i | 0.114040 | + | 0.313323i | 0.983562 | − | 0.180572i | \(-0.0577949\pi\) |
−0.869521 | + | 0.493895i | \(0.835573\pi\) | |||||||
\(600\) | 109.073 | + | 188.921i | 0.181789 | + | 0.314868i | ||||
\(601\) | 543.373 | + | 313.717i | 0.904115 | + | 0.521991i | 0.878533 | − | 0.477682i | \(-0.158523\pi\) |
0.0255820 | + | 0.999673i | \(0.491856\pi\) | |||||||
\(602\) | 49.9616 | + | 8.80958i | 0.0829927 | + | 0.0146339i | ||||
\(603\) | 120.799 | + | 143.963i | 0.200330 | + | 0.238744i | ||||
\(604\) | 120.617 | − | 143.746i | 0.199697 | − | 0.237990i | ||||
\(605\) | −97.9425 | − | 555.460i | −0.161888 | − | 0.918115i | ||||
\(606\) | 77.2018 | + | 28.0992i | 0.127396 | + | 0.0463682i | ||||
\(607\) | 518.700i | 0.854531i | 0.904126 | + | 0.427265i | \(0.140523\pi\) | ||||
−0.904126 | + | 0.427265i | \(0.859477\pi\) | |||||||
\(608\) | −197.523 | + | 503.715i | −0.324874 | + | 0.828478i | ||||
\(609\) | −81.2806 | −0.133466 | ||||||||
\(610\) | 92.6716 | − | 254.613i | 0.151921 | − | 0.417399i | ||||
\(611\) | 1239.74 | − | 218.599i | 2.02903 | − | 0.357773i | ||||
\(612\) | −151.088 | − | 126.778i | −0.246876 | − | 0.207154i | ||||
\(613\) | 62.9423 | − | 52.8148i | 0.102679 | − | 0.0861580i | −0.590003 | − | 0.807401i | \(-0.700873\pi\) |
0.692682 | + | 0.721243i | \(0.256429\pi\) | |||||||
\(614\) | −12.9727 | + | 73.5716i | −0.0211281 | + | 0.119823i | ||||
\(615\) | −90.1721 | + | 156.183i | −0.146621 | + | 0.253956i | ||||
\(616\) | −29.3935 | + | 16.9704i | −0.0477167 | + | 0.0275493i | ||||
\(617\) | −30.4748 | + | 11.0919i | −0.0493920 | + | 0.0179772i | −0.366598 | − | 0.930379i | \(-0.619478\pi\) |
0.317206 | + | 0.948357i | \(0.397255\pi\) | |||||||
\(618\) | −47.0235 | − | 129.196i | −0.0760898 | − | 0.209055i | ||||
\(619\) | 472.043 | + | 817.603i | 0.762590 | + | 1.32084i | 0.941511 | + | 0.336981i | \(0.109406\pi\) |
−0.178922 | + | 0.983863i | \(0.557261\pi\) | |||||||
\(620\) | −281.611 | − | 162.588i | −0.454212 | − | 0.262239i | ||||
\(621\) | −28.3729 | − | 5.00292i | −0.0456891 | − | 0.00805623i | ||||
\(622\) | −126.920 | − | 151.257i | −0.204051 | − | 0.243178i | ||||
\(623\) | −100.904 | + | 120.253i | −0.161964 | + | 0.193022i | ||||
\(624\) | 58.9207 | + | 334.156i | 0.0944243 | + | 0.535507i | ||||
\(625\) | 615.612 | + | 224.065i | 0.984980 | + | 0.358503i | ||||
\(626\) | − | 183.805i | − | 0.293619i | ||||||
\(627\) | 183.220 | − | 99.8461i | 0.292217 | − | 0.159244i | ||||
\(628\) | −340.149 | −0.541639 | ||||||||
\(629\) | 216.889 | − | 595.897i | 0.344815 | − | 0.947372i | ||||
\(630\) | 14.7218 | − | 2.59584i | 0.0233679 | − | 0.00412039i | ||||
\(631\) | 639.120 | + | 536.285i | 1.01287 | + | 0.849897i | 0.988715 | − | 0.149811i | \(-0.0478666\pi\) |
0.0241532 | + | 0.999708i | \(0.492311\pi\) | |||||||
\(632\) | 100.264 | − | 84.1311i | 0.158645 | − | 0.133119i | ||||
\(633\) | 45.1320 | − | 255.956i | 0.0712985 | − | 0.404354i | ||||
\(634\) | 151.523 | − | 262.446i | 0.238996 | − | 0.413953i | ||||
\(635\) | 9.22793 | − | 5.32775i | 0.0145322 | − | 0.00839015i | ||||
\(636\) | 18.8318 | − | 6.85422i | 0.0296098 | − | 0.0107771i | ||||
\(637\) | −313.950 | − | 862.570i | −0.492857 | − | 1.35411i | ||||
\(638\) | −104.392 | − | 180.813i | −0.163624 | − | 0.283406i | ||||
\(639\) | −204.124 | − | 117.851i | −0.319442 | − | 0.184430i | ||||
\(640\) | 884.311 | + | 155.928i | 1.38174 | + | 0.243637i | ||||
\(641\) | −356.342 | − | 424.672i | −0.555916 | − | 0.662514i | 0.412761 | − | 0.910839i | \(-0.364564\pi\) |
−0.968677 | + | 0.248325i | \(0.920120\pi\) | |||||||
\(642\) | −36.5370 | + | 43.5432i | −0.0569113 | + | 0.0678242i | ||||
\(643\) | 57.3587 | + | 325.297i | 0.0892048 | + | 0.505906i | 0.996370 | + | 0.0851305i | \(0.0271307\pi\) |
−0.907165 | + | 0.420775i | \(0.861758\pi\) | |||||||
\(644\) | −18.3880 | − | 6.69269i | −0.0285528 | − | 0.0103924i | ||||
\(645\) | 859.332i | 1.33230i | ||||||||
\(646\) | −157.582 | − | 197.483i | −0.243935 | − | 0.305701i | ||||
\(647\) | −330.991 | −0.511578 | −0.255789 | − | 0.966733i | \(-0.582335\pi\) | ||||
−0.255789 | + | 0.966733i | \(0.582335\pi\) | |||||||
\(648\) | 16.3370 | − | 44.8854i | 0.0252114 | − | 0.0692677i | ||||
\(649\) | −279.510 | + | 49.2852i | −0.430678 | + | 0.0759402i | ||||
\(650\) | 246.125 | + | 206.523i | 0.378653 | + | 0.317728i | ||||
\(651\) | −17.8153 | + | 14.9488i | −0.0273660 | + | 0.0229628i | ||||
\(652\) | −86.3170 | + | 489.528i | −0.132388 | + | 0.750810i | ||||
\(653\) | 251.736 | − | 436.020i | 0.385508 | − | 0.667719i | −0.606332 | − | 0.795212i | \(-0.707360\pi\) |
0.991839 | + | 0.127493i | \(0.0406930\pi\) | |||||||
\(654\) | −65.5449 | + | 37.8424i | −0.100222 | + | 0.0578630i | ||||
\(655\) | −663.751 | + | 241.586i | −1.01336 | + | 0.368833i | ||||
\(656\) | 52.2403 | + | 143.529i | 0.0796346 | + | 0.218794i | ||||
\(657\) | −200.729 | − | 347.672i | −0.305523 | − | 0.529181i | ||||
\(658\) | −40.6791 | − | 23.4861i | −0.0618224 | − | 0.0356932i | ||||
\(659\) | 172.200 | + | 30.3635i | 0.261305 | + | 0.0460751i | 0.302766 | − | 0.953065i | \(-0.402090\pi\) |
−0.0414607 | + | 0.999140i | \(0.513201\pi\) | |||||||
\(660\) | −172.430 | − | 205.494i | −0.261258 | − | 0.311355i | ||||
\(661\) | 401.271 | − | 478.216i | 0.607067 | − | 0.723474i | −0.371723 | − | 0.928344i | \(-0.621233\pi\) |
0.978789 | + | 0.204870i | \(0.0656772\pi\) | |||||||
\(662\) | −22.3457 | − | 126.729i | −0.0337548 | − | 0.191433i | ||||
\(663\) | −585.015 | − | 212.928i | −0.882376 | − | 0.321159i | ||||
\(664\) | − | 601.582i | − | 0.905998i | ||||||
\(665\) | −133.734 | − | 3.29590i | −0.201104 | − | 0.00495624i | ||||
\(666\) | 71.6599 | 0.107597 | ||||||||
\(667\) | 88.2328 | − | 242.418i | 0.132283 | − | 0.363445i | ||||
\(668\) | 545.338 | − | 96.1578i | 0.816375 | − | 0.143949i | ||||
\(669\) | 237.299 | + | 199.118i | 0.354708 | + | 0.297635i | ||||
\(670\) | 237.081 | − | 198.935i | 0.353853 | − | 0.296918i | ||||
\(671\) | −60.3840 | + | 342.455i | −0.0899910 | + | 0.510364i | ||||
\(672\) | 24.8737 | − | 43.0825i | 0.0370144 | − | 0.0641108i | ||||
\(673\) | 106.458 | − | 61.4634i | 0.158184 | − | 0.0913274i | −0.418819 | − | 0.908070i | \(-0.637556\pi\) |
0.577002 | + | 0.816743i | \(0.304222\pi\) | |||||||
\(674\) | 24.1723 | − | 8.79798i | 0.0358639 | − | 0.0130534i | ||||
\(675\) | 42.1740 | + | 115.872i | 0.0624799 | + | 0.171662i | ||||
\(676\) | 344.614 | + | 596.889i | 0.509784 | + | 0.882971i | ||||
\(677\) | −815.455 | − | 470.803i | −1.20451 | − | 0.695426i | −0.242958 | − | 0.970037i | \(-0.578118\pi\) |
−0.961555 | + | 0.274611i | \(0.911451\pi\) | |||||||
\(678\) | 33.0377 | + | 5.82544i | 0.0487282 | + | 0.00859210i | ||||
\(679\) | 82.5526 | + | 98.3823i | 0.121580 | + | 0.144893i | ||||
\(680\) | −447.448 | + | 533.248i | −0.658012 | + | 0.784189i | ||||
\(681\) | −90.4279 | − | 512.842i | −0.132787 | − | 0.753072i | ||||
\(682\) | −56.1354 | − | 20.4316i | −0.0823100 | − | 0.0299584i | ||||
\(683\) | 17.3276i | 0.0253698i | 0.999920 | + | 0.0126849i | \(0.00403784\pi\) | ||||
−0.999920 | + | 0.0126849i | \(0.995962\pi\) | |||||||
\(684\) | −103.950 | + | 170.219i | −0.151974 | + | 0.248858i | ||||
\(685\) | 159.808 | 0.233296 | ||||||||
\(686\) | −23.6773 | + | 65.0528i | −0.0345150 | + | 0.0948292i | ||||
\(687\) | 721.786 | − | 127.270i | 1.05063 | − | 0.185255i | ||||
\(688\) | 557.528 | + | 467.821i | 0.810360 | + | 0.679973i | ||||
\(689\) | 48.4579 | − | 40.6610i | 0.0703308 | − | 0.0590145i | ||||
\(690\) | −8.23892 | + | 46.7252i | −0.0119405 | + | 0.0677177i | ||||
\(691\) | 192.257 | − | 333.000i | 0.278231 | − | 0.481910i | −0.692714 | − | 0.721212i | \(-0.743585\pi\) |
0.970945 | + | 0.239302i | \(0.0769187\pi\) | |||||||
\(692\) | 240.971 | − | 139.125i | 0.348224 | − | 0.201047i | ||||
\(693\) | −18.0281 | + | 6.56170i | −0.0260146 | + | 0.00946855i | ||||
\(694\) | 150.006 | + | 412.137i | 0.216147 | + | 0.593858i | ||||
\(695\) | 777.749 | + | 1347.10i | 1.11906 | + | 1.93827i | ||||
\(696\) | 370.404 | + | 213.853i | 0.532190 | + | 0.307260i | ||||
\(697\) | −275.987 | − | 48.6640i | −0.395964 | − | 0.0698192i | ||||
\(698\) | 71.2681 | + | 84.9340i | 0.102103 | + | 0.121682i | ||||
\(699\) | 274.494 | − | 327.129i | 0.392695 | − | 0.467996i | ||||
\(700\) | 14.5432 | + | 82.4784i | 0.0207759 | + | 0.117826i | ||||
\(701\) | −620.285 | − | 225.765i | −0.884857 | − | 0.322062i | −0.140689 | − | 0.990054i | \(-0.544932\pi\) |
−0.744168 | + | 0.667992i | \(0.767154\pi\) | |||||||
\(702\) | − | 70.3514i | − | 0.100216i | ||||||
\(703\) | −628.594 | − | 126.881i | −0.894159 | − | 0.180485i | ||||
\(704\) | −131.930 | −0.187401 | ||||||||
\(705\) | 272.125 | − | 747.658i | 0.385993 | − | 1.06051i | ||||
\(706\) | −390.512 | + | 68.8578i | −0.553133 | + | 0.0975323i | ||||
\(707\) | 51.7830 | + | 43.4511i | 0.0732433 | + | 0.0614584i | ||||
\(708\) | 207.824 | − | 174.385i | 0.293536 | − | 0.246306i | ||||
\(709\) | −97.3388 | + | 552.036i | −0.137290 | + | 0.778612i | 0.835947 | + | 0.548810i | \(0.184919\pi\) |
−0.973237 | + | 0.229802i | \(0.926192\pi\) | |||||||
\(710\) | −194.080 | + | 336.156i | −0.273351 | + | 0.473459i | ||||
\(711\) | 64.0714 | − | 36.9916i | 0.0901144 | − | 0.0520276i | ||||
\(712\) | 776.219 | − | 282.521i | 1.09019 | − | 0.396798i | ||||
\(713\) | −25.2454 | − | 69.3611i | −0.0354073 | − | 0.0972807i | ||||
\(714\) | 11.6148 | + | 20.1175i | 0.0162673 | + | 0.0281758i | ||||
\(715\) | −733.298 | − | 423.370i | −1.02559 | − | 0.592126i | ||||
\(716\) | −1087.35 | − | 191.729i | −1.51864 | − | 0.267778i | ||||
\(717\) | 461.648 | + | 550.171i | 0.643860 | + | 0.767323i | ||||
\(718\) | −191.433 | + | 228.141i | −0.266619 | + | 0.317745i | ||||
\(719\) | 176.762 | + | 1002.46i | 0.245844 | + | 1.39425i | 0.818525 | + | 0.574470i | \(0.194792\pi\) |
−0.572682 | + | 0.819778i | \(0.694097\pi\) | |||||||
\(720\) | 201.522 | + | 73.3479i | 0.279891 | + | 0.101872i | ||||
\(721\) | − | 113.124i | − | 0.156899i | ||||||
\(722\) | −173.668 | + | 187.389i | −0.240537 | + | 0.259542i | ||||
\(723\) | −441.950 | −0.611273 | ||||||||
\(724\) | 184.156 | − | 505.966i | 0.254360 | − | 0.698848i | ||||
\(725\) | −1087.35 | + | 191.729i | −1.49979 | + | 0.264454i | ||||
\(726\) | 75.8719 | + | 63.6641i | 0.104507 | + | 0.0876916i | ||||
\(727\) | 405.027 | − | 339.858i | 0.557122 | − | 0.467481i | −0.320222 | − | 0.947342i | \(-0.603758\pi\) |
0.877344 | + | 0.479862i | \(0.159313\pi\) | |||||||
\(728\) | 17.7824 | − | 100.849i | 0.0244264 | − | 0.138529i | ||||
\(729\) | 13.5000 | − | 23.3827i | 0.0185185 | − | 0.0320750i | ||||
\(730\) | −572.555 | + | 330.565i | −0.784321 | + | 0.452828i | ||||
\(731\) | −1254.82 | + | 456.717i | −1.71658 | + | 0.624785i | ||||
\(732\) | −113.684 | − | 312.343i | −0.155306 | − | 0.426698i | ||||
\(733\) | −86.5772 | − | 149.956i | −0.118113 | − | 0.204579i | 0.800907 | − | 0.598789i | \(-0.204351\pi\) |
−0.919020 | + | 0.394211i | \(0.871018\pi\) | |||||||
\(734\) | 9.91175 | + | 5.72255i | 0.0135037 | + | 0.00779639i | ||||
\(735\) | −571.345 | − | 100.744i | −0.777340 | − | 0.137066i | ||||
\(736\) | 101.491 | + | 120.953i | 0.137896 | + | 0.164338i | ||||
\(737\) | −255.310 | + | 304.266i | −0.346417 | + | 0.412844i | ||||
\(738\) | −5.49919 | − | 31.1875i | −0.00745148 | − | 0.0422594i | ||||
\(739\) | −1157.10 | − | 421.151i | −1.56577 | − | 0.569893i | −0.593720 | − | 0.804671i | \(-0.702342\pi\) |
−0.972049 | + | 0.234778i | \(0.924564\pi\) | |||||||
\(740\) | 824.420i | 1.11408i | ||||||||
\(741\) | −124.564 | + | 617.115i | −0.168103 | + | 0.832814i | ||||
\(742\) | −2.36033 | −0.00318104 | ||||||||
\(743\) | 245.007 | − | 673.150i | 0.329753 | − | 0.905989i | −0.658421 | − | 0.752650i | \(-0.728775\pi\) |
0.988174 | − | 0.153339i | \(-0.0490026\pi\) | |||||||
\(744\) | 120.517 | − | 21.2504i | 0.161985 | − | 0.0285624i | ||||
\(745\) | −153.632 | − | 128.912i | −0.206217 | − | 0.173037i | ||||
\(746\) | 171.959 | − | 144.290i | 0.230508 | − | 0.193419i | ||||
\(747\) | 59.0486 | − | 334.881i | 0.0790476 | − | 0.448301i | ||||
\(748\) | 208.425 | − | 361.003i | 0.278643 | − | 0.482625i | ||||
\(749\) | −40.5031 | + | 23.3845i | −0.0540762 | + | 0.0312209i | ||||
\(750\) | −10.2065 | + | 3.71485i | −0.0136086 | + | 0.00495313i | ||||
\(751\) | −398.964 | − | 1096.15i | −0.531244 | − | 1.45958i | −0.857592 | − | 0.514331i | \(-0.828040\pi\) |
0.326348 | − | 0.945250i | \(-0.394182\pi\) | |||||||
\(752\) | −336.929 | − | 583.578i | −0.448044 | − | 0.776035i | ||||
\(753\) | 266.907 | + | 154.099i | 0.354458 | + | 0.204647i | ||||
\(754\) | 620.368 | + | 109.388i | 0.822769 | + | 0.145076i | ||||
\(755\) | −240.631 | − | 286.772i | −0.318716 | − | 0.379831i | ||||
\(756\) | 11.7877 | − | 14.0480i | 0.0155921 | − | 0.0185820i | ||||
\(757\) | 125.803 | + | 713.466i | 0.166187 | + | 0.942491i | 0.947833 | + | 0.318769i | \(0.103269\pi\) |
−0.781646 | + | 0.623722i | \(0.785620\pi\) | |||||||
\(758\) | −307.155 | − | 111.795i | −0.405218 | − | 0.147487i | ||||
\(759\) | − | 60.8915i | − | 0.0802259i | ||||||
\(760\) | 600.768 | + | 366.880i | 0.790485 | + | 0.482737i | ||||
\(761\) | −295.133 | −0.387823 | −0.193912 | − | 0.981019i | \(-0.562117\pi\) | ||||
−0.193912 | + | 0.981019i | \(0.562117\pi\) | |||||||
\(762\) | −0.639958 | + | 1.75827i | −0.000839840 | + | 0.00230744i | ||||
\(763\) | −61.3269 | + | 10.8136i | −0.0803761 | + | 0.0141725i | ||||
\(764\) | 339.363 | + | 284.759i | 0.444192 | + | 0.372722i | ||||
\(765\) | −301.421 | + | 252.922i | −0.394014 | + | 0.330617i | ||||
\(766\) | −79.5469 | + | 451.133i | −0.103847 | + | 0.588946i | ||||
\(767\) | 428.169 | − | 741.610i | 0.558239 | − | 0.966897i | ||||
\(768\) | −11.7111 | + | 6.76138i | −0.0152488 | + | 0.00880388i | ||||
\(769\) | −378.622 | + | 137.807i | −0.492356 | + | 0.179203i | −0.576253 | − | 0.817272i | \(-0.695486\pi\) |
0.0838969 | + | 0.996474i | \(0.473263\pi\) | |||||||
\(770\) | 10.8060 | + | 29.6891i | 0.0140337 | + | 0.0385573i | ||||
\(771\) | −279.776 | − | 484.587i | −0.362874 | − | 0.628517i | ||||
\(772\) | 223.503 | + | 129.039i | 0.289511 | + | 0.167149i | ||||
\(773\) | 166.209 | + | 29.3071i | 0.215018 | + | 0.0379134i | 0.280119 | − | 0.959965i | \(-0.409626\pi\) |
−0.0651015 | + | 0.997879i | \(0.520737\pi\) | |||||||
\(774\) | −96.9962 | − | 115.596i | −0.125318 | − | 0.149348i | ||||
\(775\) | −203.066 | + | 242.005i | −0.262021 | + | 0.312264i | ||||
\(776\) | −117.352 | − | 665.538i | −0.151227 | − | 0.857652i | ||||
\(777\) | 55.4056 | + | 20.1660i | 0.0713071 | + | 0.0259537i | ||||
\(778\) | 60.1117i | 0.0772644i | ||||||||
\(779\) | −6.98223 | + | 283.310i | −0.00896307 | + | 0.363684i | ||||
\(780\) | 809.365 | 1.03765 | ||||||||
\(781\) | 170.380 | − | 468.114i | 0.218156 | − | 0.599378i | ||||
\(782\) | −72.6083 | + | 12.8028i | −0.0928495 | + | 0.0163719i | ||||
\(783\) | 185.201 | + | 155.402i | 0.236527 | + | 0.198470i | ||||
\(784\) | −376.402 | + | 315.839i | −0.480105 | + | 0.402856i | ||||
\(785\) | −117.837 | + | 668.288i | −0.150111 | + | 0.851322i | ||||
\(786\) | 62.0177 | − | 107.418i | 0.0789029 | − | 0.136664i | ||||
\(787\) | −413.425 | + | 238.691i | −0.525318 | + | 0.303293i | −0.739108 | − | 0.673587i | \(-0.764753\pi\) |
0.213790 | + | 0.976880i | \(0.431419\pi\) | |||||||
\(788\) | −983.795 | + | 358.072i | −1.24847 | + | 0.454406i | ||||
\(789\) | 43.0621 | + | 118.312i | 0.0545781 | + | 0.149952i | ||||
\(790\) | −60.9187 | − | 105.514i | −0.0771122 | − | 0.133562i | ||||
\(791\) | 23.9046 | + | 13.8013i | 0.0302207 | + | 0.0174479i | ||||
\(792\) | 99.4202 | + | 17.5305i | 0.125531 | + | 0.0221344i | ||||
\(793\) | −674.401 | − | 803.720i | −0.850442 | − | 1.01352i | ||||
\(794\) | 88.4424 | − | 105.402i | 0.111388 | − | 0.132748i | ||||
\(795\) | −6.94255 | − | 39.3732i | −0.00873277 | − | 0.0495260i | ||||
\(796\) | 711.509 | + | 258.968i | 0.893855 | + | 0.325337i | ||||
\(797\) | 964.886i | 1.21065i | 0.795979 | + | 0.605324i | \(0.206956\pi\) | ||||
−0.795979 | + | 0.605324i | \(0.793044\pi\) | |||||||
\(798\) | 18.3617 | − | 14.6517i | 0.0230096 | − | 0.0183606i | ||||
\(799\) | 1236.38 | 1.54741 | ||||||||
\(800\) | 231.128 | − | 635.019i | 0.288910 | − | 0.793774i | ||||
\(801\) | 459.826 | − | 81.0798i | 0.574065 | − | 0.101223i | ||||
\(802\) | 216.850 | + | 181.959i | 0.270387 | + | 0.226882i | ||||
\(803\) | 649.975 | − | 545.394i | 0.809433 | − | 0.679195i | ||||
\(804\) | 65.9272 | − | 373.892i | 0.0819990 | − | 0.465040i | ||||
\(805\) | −19.5192 | + | 33.8082i | −0.0242474 | + | 0.0419978i | ||||
\(806\) | 156.092 | − | 90.1197i | 0.193663 | − | 0.111811i | ||||
\(807\) | −654.010 | + | 238.040i | −0.810421 | + | 0.294969i | ||||
\(808\) | −121.659 | − | 334.254i | −0.150568 | − | 0.413681i | ||||
\(809\) | 83.6869 | + | 144.950i | 0.103445 | + | 0.179172i | 0.913102 | − | 0.407732i | \(-0.133680\pi\) |
−0.809657 | + | 0.586903i | \(0.800347\pi\) | |||||||
\(810\) | −38.5071 | − | 22.2321i | −0.0475397 | − | 0.0274471i | ||||
\(811\) | 1129.00 | + | 199.074i | 1.39211 | + | 0.245467i | 0.818899 | − | 0.573938i | \(-0.194585\pi\) |
0.573214 | + | 0.819405i | \(0.305696\pi\) | |||||||
\(812\) | 105.549 | + | 125.788i | 0.129986 | + | 0.154911i | ||||
\(813\) | −18.7555 | + | 22.3520i | −0.0230695 | + | 0.0274932i | ||||
\(814\) | 26.2997 | + | 149.153i | 0.0323092 | + | 0.183234i | ||||
\(815\) | 931.868 | + | 339.172i | 1.14340 | + | 0.416162i | ||||
\(816\) | 333.251i | 0.408396i | ||||||||
\(817\) | 646.167 | + | 1185.73i | 0.790902 | + | 1.45133i | ||||
\(818\) | 243.199 | 0.297309 | ||||||||
\(819\) | 19.7977 | − | 54.3939i | 0.0241731 | − | 0.0664150i | ||||
\(820\) | 358.800 | − | 63.2661i | 0.437561 | − | 0.0771537i | ||||
\(821\) | 683.038 | + | 573.137i | 0.831959 | + | 0.698097i | 0.955740 | − | 0.294213i | \(-0.0950575\pi\) |
−0.123781 | + | 0.992310i | \(0.539502\pi\) | |||||||
\(822\) | −21.4970 | + | 18.0381i | −0.0261521 | + | 0.0219442i | ||||
\(823\) | 197.568 | − | 1120.46i | 0.240058 | − | 1.36144i | −0.591637 | − | 0.806204i | \(-0.701518\pi\) |
0.831695 | − | 0.555232i | \(-0.187371\pi\) | |||||||
\(824\) | −297.634 | + | 515.517i | −0.361206 | + | 0.625628i | ||||
\(825\) | −225.697 | + | 130.307i | −0.273573 | + | 0.157947i | ||||
\(826\) | −30.0257 | + | 10.9285i | −0.0363507 | + | 0.0132306i | ||||
\(827\) | −172.111 | − | 472.871i | −0.208115 | − | 0.571791i | 0.791088 | − | 0.611702i | \(-0.209515\pi\) |
−0.999203 | + | 0.0399109i | \(0.987293\pi\) | |||||||
\(828\) | 29.1019 | + | 50.4060i | 0.0351472 | + | 0.0608768i | ||||
\(829\) | 98.7997 | + | 57.0420i | 0.119179 | + | 0.0688082i | 0.558405 | − | 0.829569i | \(-0.311414\pi\) |
−0.439225 | + | 0.898377i | \(0.644747\pi\) | |||||||
\(830\) | −551.490 | − | 97.2426i | −0.664446 | − | 0.117160i | ||||
\(831\) | 66.0939 | + | 78.7676i | 0.0795354 | + | 0.0947866i | ||||
\(832\) | 255.865 | − | 304.928i | 0.307530 | − | 0.366500i | ||||
\(833\) | −156.550 | − | 887.837i | −0.187935 | − | 1.06583i | ||||
\(834\) | −256.674 | − | 93.4216i | −0.307762 | − | 0.112016i | ||||
\(835\) | − | 1104.73i | − | 1.32303i | ||||||
\(836\) | −392.444 | − | 153.890i | −0.469431 | − | 0.184079i | ||||
\(837\) | 69.1737 | 0.0826448 | ||||||||
\(838\) | 52.9420 | − | 145.457i | 0.0631766 | − | 0.173576i | ||||
\(839\) | −1066.40 | + | 188.034i | −1.27103 | + | 0.224117i | −0.768168 | − | 0.640248i | \(-0.778831\pi\) |
−0.502864 | + | 0.864366i | \(0.667720\pi\) | |||||||
\(840\) | −49.5806 | − | 41.6031i | −0.0590246 | − | 0.0495275i | ||||
\(841\) | −1014.08 | + | 850.912i | −1.20580 | + | 1.01179i | ||||
\(842\) | 16.6859 | − | 94.6302i | 0.0198169 | − | 0.112387i | ||||
\(843\) | −51.5294 | + | 89.2515i | −0.0611262 | + | 0.105874i | ||||
\(844\) | −454.719 | + | 262.532i | −0.538766 | + | 0.311057i | ||||
\(845\) | 1292.08 | − | 470.280i | 1.52909 | − | 0.556545i | ||||
\(846\) | 47.7854 | + | 131.289i | 0.0564839 | + | 0.155188i | ||||
\(847\) | 40.7464 | + | 70.5748i | 0.0481067 | + | 0.0833232i | ||||
\(848\) | −29.3245 | − | 16.9305i | −0.0345808 | − | 0.0199652i | ||||
\(849\) | −27.5336 | − | 4.85491i | −0.0324306 | − | 0.00571839i | ||||
\(850\) | 202.835 | + | 241.729i | 0.238629 | + | 0.284387i | ||||
\(851\) | −120.289 | + | 143.355i | −0.141350 | + | 0.168455i | ||||
\(852\) | 82.6858 | + | 468.935i | 0.0970491 | + | 0.550393i | ||||
\(853\) | 214.717 | + | 78.1506i | 0.251720 | + | 0.0916185i | 0.464798 | − | 0.885417i | \(-0.346127\pi\) |
−0.213079 | + | 0.977035i | \(0.568349\pi\) | |||||||
\(854\) | 39.1483i | 0.0458411i | ||||||||
\(855\) | 298.417 | + | 263.199i | 0.349025 | + | 0.307835i | ||||
\(856\) | 246.102 | 0.287503 | ||||||||
\(857\) | 92.4587 | − | 254.028i | 0.107886 | − | 0.296416i | −0.873988 | − | 0.485947i | \(-0.838475\pi\) |
0.981875 | + | 0.189532i | \(0.0606969\pi\) | |||||||
\(858\) | 146.429 | − | 25.8194i | 0.170663 | − | 0.0300925i | ||||
\(859\) | −357.479 | − | 299.961i | −0.416157 | − | 0.349197i | 0.410542 | − | 0.911842i | \(-0.365340\pi\) |
−0.826699 | + | 0.562644i | \(0.809784\pi\) | |||||||
\(860\) | 1329.88 | − | 1115.90i | 1.54637 | − | 1.29756i | ||||
\(861\) | 4.52471 | − | 25.6609i | 0.00525517 | − | 0.0298036i | ||||
\(862\) | −25.5697 | + | 44.2880i | −0.0296632 | + | 0.0513782i | ||||
\(863\) | 770.849 | − | 445.050i | 0.893221 | − | 0.515701i | 0.0182261 | − | 0.999834i | \(-0.494198\pi\) |
0.874995 | + | 0.484133i | \(0.160865\pi\) | |||||||
\(864\) | −139.046 | + | 50.6085i | −0.160933 | + | 0.0585747i | ||||
\(865\) | −189.858 | − | 521.631i | −0.219489 | − | 0.603041i | ||||
\(866\) | 178.796 | + | 309.683i | 0.206462 | + | 0.357602i | ||||
\(867\) | −96.0233 | − | 55.4391i | −0.110754 | − | 0.0639436i | ||||
\(868\) | 46.2688 | + | 8.15845i | 0.0533051 | + | 0.00939913i | ||||
\(869\) | 100.509 | + | 119.782i | 0.115660 | + | 0.137839i | ||||
\(870\) | 255.920 | − | 304.993i | 0.294161 | − | 0.350567i | ||||
\(871\) | −208.099 | − | 1180.19i | −0.238919 | − | 1.35498i | ||||
\(872\) | 307.924 | + | 112.075i | 0.353124 | + | 0.128527i | ||||
\(873\) | − | 382.002i | − | 0.437574i | ||||||
\(874\) | 23.7663 | + | 70.6682i | 0.0271926 | + | 0.0808560i | ||||
\(875\) | −8.93678 | −0.0102135 | ||||||||
\(876\) | −277.389 | + | 762.120i | −0.316654 | + | 0.870000i | ||||
\(877\) | −257.119 | + | 45.3370i | −0.293180 | + | 0.0516956i | −0.318304 | − | 0.947989i | \(-0.603113\pi\) |
0.0251236 | + | 0.999684i | \(0.492002\pi\) | |||||||
\(878\) | −44.6192 | − | 37.4399i | −0.0508191 | − | 0.0426423i | ||||
\(879\) | 165.947 | − | 139.246i | 0.188791 | − | 0.158414i | ||||
\(880\) | −78.7064 | + | 446.366i | −0.0894391 | + | 0.507234i | ||||
\(881\) | −42.0790 | + | 72.8830i | −0.0477628 | + | 0.0827275i | −0.888918 | − | 0.458066i | \(-0.848542\pi\) |
0.841156 | + | 0.540793i | \(0.181876\pi\) | |||||||
\(882\) | 88.2274 | − | 50.9381i | 0.100031 | − | 0.0577530i | ||||
\(883\) | −454.849 | + | 165.551i | −0.515118 | + | 0.187488i | −0.586481 | − | 0.809963i | \(-0.699487\pi\) |
0.0713634 | + | 0.997450i | \(0.477265\pi\) | |||||||
\(884\) | 430.161 | + | 1181.86i | 0.486608 | + | 1.33694i | ||||
\(885\) | −270.616 | − | 468.721i | −0.305781 | − | 0.529628i | ||||
\(886\) | 87.1756 | + | 50.3308i | 0.0983923 | + | 0.0568068i | ||||
\(887\) | 1169.55 | + | 206.224i | 1.31855 | + | 0.232496i | 0.788272 | − | 0.615327i | \(-0.210976\pi\) |
0.530279 | + | 0.847823i | \(0.322087\pi\) | |||||||
\(888\) | −199.431 | − | 237.673i | −0.224585 | − | 0.267650i | ||||
\(889\) | −0.989598 | + | 1.17936i | −0.00111316 | + | 0.00132661i | ||||
\(890\) | −133.524 | − | 757.253i | −0.150027 | − | 0.850846i | ||||
\(891\) | 53.6232 | + | 19.5173i | 0.0601832 | + | 0.0219049i | ||||
\(892\) | − | 625.808i | − | 0.701578i | ||||||
\(893\) | −186.707 | − | 1236.26i | −0.209079 | − | 1.38439i | ||||
\(894\) | 35.2170 | 0.0393927 | ||||||||
\(895\) | −753.375 | + | 2069.88i | −0.841760 | + | 2.31272i | ||||
\(896\) | −127.768 | + | 22.5290i | −0.142598 | + | 0.0251440i | ||||
\(897\) | 140.737 | + | 118.093i | 0.156898 | + | 0.131653i | ||||
\(898\) | −146.521 | + | 122.946i | −0.163164 | + | 0.136911i | ||||
\(899\) | −107.557 | + | 609.984i | −0.119640 | + | 0.678513i | ||||
\(900\) | 124.555 | − | 215.735i | 0.138394 | − | 0.239706i | ||||
\(901\) | 53.8040 | − | 31.0637i | 0.0597159 | − | 0.0344770i | ||||
\(902\) | 62.8952 | − | 22.8920i | 0.0697286 | − | 0.0253792i | ||||
\(903\) | −42.4649 | − | 116.671i | −0.0470265 | − | 0.129204i | ||||
\(904\) | −72.6237 | − | 125.788i | −0.0803360 | − | 0.139146i | ||||
\(905\) | −930.269 | − | 537.091i | −1.02792 | − | 0.593471i | ||||
\(906\) | 64.7382 | + | 11.4151i | 0.0714550 | + | 0.0125994i | ||||
\(907\) | −101.853 | − | 121.384i | −0.112297 | − | 0.133830i | 0.706968 | − | 0.707246i | \(-0.250062\pi\) |
−0.819265 | + | 0.573416i | \(0.805618\pi\) | |||||||
\(908\) | −676.236 | + | 805.906i | −0.744753 | + | 0.887562i | ||||
\(909\) | −34.9145 | − | 198.010i | −0.0384098 | − | 0.217833i | ||||
\(910\) | −89.5771 | − | 32.6034i | −0.0984363 | − | 0.0358279i | ||||
\(911\) | 45.3584i | 0.0497897i | 0.999690 | + | 0.0248948i | \(0.00792509\pi\) | ||||
−0.999690 | + | 0.0248948i | \(0.992075\pi\) | |||||||
\(912\) | 333.220 | − | 50.3247i | 0.365372 | − | 0.0551806i | ||||
\(913\) | 718.692 | 0.787176 | ||||||||
\(914\) | −170.394 | + | 468.154i | −0.186427 | + | 0.512204i | ||||
\(915\) | −653.041 | + | 115.149i | −0.713706 | + | 0.125846i | ||||
\(916\) | −1134.25 | − | 951.749i | −1.23826 | − | 1.03903i | ||||
\(917\) | 78.1792 | − | 65.6001i | 0.0852553 | − | 0.0715377i | ||||
\(918\) | 11.9982 | − | 68.0451i | 0.0130699 | − | 0.0741232i | ||||
\(919\) | −112.912 | + | 195.569i | −0.122864 | + | 0.212806i | −0.920896 | − | 0.389809i | \(-0.872541\pi\) |
0.798032 | + | 0.602615i | \(0.205874\pi\) | |||||||
\(920\) | 177.902 | − | 102.712i | 0.193371 | − | 0.111643i | ||||
\(921\) | 171.806 | − | 62.5322i | 0.186543 | − | 0.0678960i | ||||
\(922\) | −17.3729 | − | 47.7318i | −0.0188427 | − | 0.0517698i | ||||
\(923\) | 751.511 | + | 1301.65i | 0.814205 | + | 1.41024i | ||||
\(924\) | 33.5656 | + | 19.3791i | 0.0363264 | + | 0.0209730i | ||||
\(925\) | 788.770 | + | 139.081i | 0.852725 | + | 0.150358i | ||||
\(926\) | −44.2579 | − | 52.7445i | −0.0477947 | − | 0.0569595i | ||||
\(927\) | −216.284 | + | 257.757i | −0.233316 | + | 0.278055i | ||||
\(928\) | −230.074 | − | 1304.82i | −0.247925 | − | 1.40605i | ||||
\(929\) | 1671.31 | + | 608.307i | 1.79904 | + | 0.654798i | 0.998454 | + | 0.0555823i | \(0.0177015\pi\) |
0.800588 | + | 0.599215i | \(0.204521\pi\) | |||||||
\(930\) | − | 113.917i | − | 0.122491i | ||||||
\(931\) | −864.113 | + | 290.609i | −0.928156 | + | 0.312147i | ||||
\(932\) | −862.707 | −0.925651 | ||||||||
\(933\) | −165.275 | + | 454.089i | −0.177143 | + | 0.486697i | ||||
\(934\) | 74.2941 | − | 13.1001i | 0.0795440 | − | 0.0140258i | ||||
\(935\) | −637.055 | − | 534.553i | −0.681342 | − | 0.571714i | ||||
\(936\) | −233.333 | + | 195.790i | −0.249287 | + | 0.209177i | ||||
\(937\) | 13.0564 | − | 74.0467i | 0.0139343 | − | 0.0790252i | −0.977048 | − | 0.213021i | \(-0.931670\pi\) |
0.990982 | + | 0.133996i | \(0.0427808\pi\) | |||||||
\(938\) | −22.3579 | + | 38.7250i | −0.0238357 | + | 0.0412847i | ||||
\(939\) | −389.567 | + | 224.917i | −0.414875 | + | 0.239528i | ||||
\(940\) | −1510.43 | + | 549.752i | −1.60684 | + | 0.584843i | ||||
\(941\) | −185.275 | − | 509.040i | −0.196892 | − | 0.540957i | 0.801478 | − | 0.598024i | \(-0.204047\pi\) |
−0.998370 | + | 0.0570673i | \(0.981825\pi\) | |||||||
\(942\) | −59.5810 | − | 103.197i | −0.0632495 | − | 0.109551i | ||||
\(943\) | 71.6213 | + | 41.3506i | 0.0759505 | + | 0.0438500i | ||||
\(944\) | −451.426 | − | 79.5986i | −0.478205 | − | 0.0843205i | ||||
\(945\) | −23.5163 | − | 28.0257i | −0.0248850 | − | 0.0296568i | ||||
\(946\) | 205.002 | − | 244.312i | 0.216704 | − | 0.258258i | ||||
\(947\) | 51.0229 | + | 289.365i | 0.0538784 | + | 0.305560i | 0.999824 | − | 0.0187660i | \(-0.00597375\pi\) |
−0.945945 | + | 0.324326i | \(0.894863\pi\) | |||||||
\(948\) | −140.449 | − | 51.1191i | −0.148153 | − | 0.0539231i | ||||
\(949\) | 2560.01i | 2.69759i | ||||||||
\(950\) | 211.076 | − | 239.319i | 0.222185 | − | 0.251915i | ||||
\(951\) | −741.657 | −0.779871 | ||||||||
\(952\) | 34.3989 | − | 94.5102i | 0.0361333 | − | 0.0992755i | ||||
\(953\) | −1226.21 | + | 216.215i | −1.28669 | + | 0.226878i | −0.774818 | − | 0.632185i | \(-0.782158\pi\) |
−0.511871 | + | 0.859063i | \(0.671047\pi\) | |||||||
\(954\) | 5.37810 | + | 4.51276i | 0.00563742 | + | 0.00473036i | ||||
\(955\) | 677.029 | − | 568.095i | 0.708931 | − | 0.594863i | ||||
\(956\) | 251.949 | − | 1428.87i | 0.263544 | − | 1.49464i | ||||
\(957\) | −255.483 | + | 442.510i | −0.266963 | + | 0.462393i | ||||
\(958\) | −367.644 | + | 212.260i | −0.383762 | + | 0.221565i | ||||
\(959\) | −21.6971 | + | 7.89709i | −0.0226247 | + | 0.00823472i | ||||
\(960\) | −86.0465 | − | 236.411i | −0.0896317 | − | 0.246261i | ||||
\(961\) | −391.889 | − | 678.771i | −0.407793 | − | 0.706318i | ||||
\(962\) | −395.740 | − | 228.480i | −0.411372 | − | 0.237506i | ||||
\(963\) | 136.997 | + | 24.1563i | 0.142261 | + | 0.0250844i | ||||
\(964\) | 573.904 | + | 683.952i | 0.595336 | + | 0.709493i | ||||
\(965\) | 330.950 | − | 394.410i | 0.342953 | − | 0.408715i | ||||
\(966\) | −1.19039 | − | 6.75101i | −0.00123228 | − | 0.00698863i | ||||
\(967\) | 91.2073 | + | 33.1968i | 0.0943199 | + | 0.0343296i | 0.388749 | − | 0.921344i | \(-0.372907\pi\) |
−0.294429 | + | 0.955673i | \(0.595130\pi\) | |||||||
\(968\) | − | 428.822i | − | 0.442998i | ||||||
\(969\) | −225.728 | + | 575.641i | −0.232949 | + | 0.594057i | ||||
\(970\) | −629.089 | −0.648546 | ||||||||
\(971\) | −252.747 | + | 694.418i | −0.260296 | + | 0.715157i | 0.738851 | + | 0.673868i | \(0.235369\pi\) |
−0.999147 | + | 0.0412887i | \(0.986854\pi\) | |||||||
\(972\) | −53.7172 | + | 9.47179i | −0.0552646 | + | 0.00974464i | ||||
\(973\) | −172.163 | − | 144.462i | −0.176941 | − | 0.148471i | ||||
\(974\) | 238.659 | − | 200.258i | 0.245029 | − | 0.205604i | ||||
\(975\) | 136.542 | − | 774.367i | 0.140043 | − | 0.794222i | ||||
\(976\) | −280.809 | + | 486.375i | −0.287714 | + | 0.498335i | ||||
\(977\) | 1043.75 | − | 602.610i | 1.06832 | − | 0.616796i | 0.140599 | − | 0.990067i | \(-0.455097\pi\) |
0.927722 | + | 0.373271i | \(0.121764\pi\) | |||||||
\(978\) | −163.637 | + | 59.5589i | −0.167318 | + | 0.0608987i | ||||
\(979\) | 337.518 | + | 927.324i | 0.344758 | + | 0.947216i | ||||
\(980\) | 586.024 | + | 1015.02i | 0.597983 | + | 1.03574i | ||||
\(981\) | 160.410 | + | 92.6130i | 0.163517 | + | 0.0944068i | ||||
\(982\) | −313.385 | − | 55.2581i | −0.319129 | − | 0.0562710i | ||||
\(983\) | −423.850 | − | 505.125i | −0.431181 | − | 0.513861i | 0.506082 | − | 0.862485i | \(-0.331093\pi\) |
−0.937262 | + | 0.348624i | \(0.886649\pi\) | |||||||
\(984\) | −88.1344 | + | 105.035i | −0.0895675 | + | 0.106742i | ||||
\(985\) | 362.686 | + | 2056.90i | 0.368210 | + | 2.08822i | ||||
\(986\) | 581.376 | + | 211.603i | 0.589631 | + | 0.214608i | ||||
\(987\) | 114.957i | 0.116471i | ||||||||
\(988\) | 1116.79 | − | 608.595i | 1.13035 | − | 0.615987i | ||||
\(989\) | 394.067 | 0.398450 | ||||||||
\(990\) | 32.1415 | − | 88.3080i | 0.0324661 | − | 0.0892000i | ||||
\(991\) | 933.288 | − | 164.564i | 0.941763 | − | 0.166058i | 0.318370 | − | 0.947967i | \(-0.396865\pi\) |
0.623394 | + | 0.781908i | \(0.285753\pi\) | |||||||
\(992\) | −290.405 | − | 243.678i | −0.292747 | − | 0.245644i | ||||
\(993\) | −241.252 | + | 202.434i | −0.242953 | + | 0.203861i | ||||
\(994\) | 9.73862 | − | 55.2305i | 0.00979741 | − | 0.0555639i | ||||
\(995\) | 755.278 | − | 1308.18i | 0.759074 | − | 1.31475i | ||||
\(996\) | −594.933 | + | 343.485i | −0.597322 | + | 0.344864i | ||||
\(997\) | 128.652 | − | 46.8254i | 0.129039 | − | 0.0469663i | −0.276694 | − | 0.960958i | \(-0.589239\pi\) |
0.405732 | + | 0.913992i | \(0.367017\pi\) | |||||||
\(998\) | −63.7682 | − | 175.202i | −0.0638960 | − | 0.175553i | ||||
\(999\) | −87.6880 | − | 151.880i | −0.0877758 | − | 0.152032i |
(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 | 57.3.k.a.34.2 | ✓ | 18 | |
3.2 | odd | 2 | 171.3.ba.c.91.2 | 18 | |||
19.14 | odd | 18 | inner | 57.3.k.a.52.2 | yes | 18 | |
57.14 | even | 18 | 171.3.ba.c.109.2 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.3.k.a.34.2 | ✓ | 18 | 1.1 | even | 1 | trivial | |
57.3.k.a.52.2 | yes | 18 | 19.14 | odd | 18 | inner | |
171.3.ba.c.91.2 | 18 | 3.2 | odd | 2 | |||
171.3.ba.c.109.2 | 18 | 57.14 | even | 18 |