Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(63,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.63");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.e (of order \(14\), degree \(6\), not 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: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{14})\) |
Coefficient field: | \(\Q(\zeta_{28})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{10} + x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 63.1 | ||
Root | \(0.781831 - 0.623490i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 841.63 |
Dual form | 841.2.e.c.267.1 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.347948 | + | 0.277479i | −0.246036 | + | 0.196207i | −0.738741 | − | 0.673989i | \(-0.764580\pi\) |
0.492705 | + | 0.870196i | \(0.336008\pi\) | |||||||
\(3\) | 1.21572 | − | 0.277479i | 0.701894 | − | 0.160203i | 0.143343 | − | 0.989673i | \(-0.454215\pi\) |
0.558551 | + | 0.829470i | \(0.311358\pi\) | |||||||
\(4\) | −0.400969 | + | 1.75676i | −0.200484 | + | 0.878380i | ||||
\(5\) | −0.431468 | − | 0.541044i | −0.192959 | − | 0.241962i | 0.675935 | − | 0.736961i | \(-0.263740\pi\) |
−0.868894 | + | 0.494999i | \(0.835168\pi\) | |||||||
\(6\) | −0.346011 | + | 0.433884i | −0.141258 | + | 0.177132i | ||||
\(7\) | −0.0794168 | − | 0.347948i | −0.0300167 | − | 0.131512i | 0.957699 | − | 0.287770i | \(-0.0929139\pi\) |
−0.987716 | + | 0.156258i | \(0.950057\pi\) | |||||||
\(8\) | −0.734141 | − | 1.52446i | −0.259558 | − | 0.538978i | ||||
\(9\) | −1.30194 | + | 0.626980i | −0.433979 | + | 0.208993i | ||||
\(10\) | 0.300257 | + | 0.0685317i | 0.0949496 | + | 0.0216716i | ||||
\(11\) | −2.14295 | + | 4.44989i | −0.646124 | + | 1.34169i | 0.278362 | + | 0.960476i | \(0.410209\pi\) |
−0.924486 | + | 0.381215i | \(0.875506\pi\) | |||||||
\(12\) | 2.24698i | 0.648647i | ||||||||
\(13\) | −5.09299 | − | 2.45265i | −1.41254 | − | 0.680244i | −0.436879 | − | 0.899520i | \(-0.643916\pi\) |
−0.975663 | + | 0.219276i | \(0.929630\pi\) | |||||||
\(14\) | 0.124181 | + | 0.0990311i | 0.0331888 | + | 0.0264672i | ||||
\(15\) | −0.674671 | − | 0.538032i | −0.174199 | − | 0.138919i | ||||
\(16\) | −2.56853 | − | 1.23694i | −0.642133 | − | 0.309235i | ||||
\(17\) | − | 4.49396i | − | 1.08995i | −0.838454 | − | 0.544973i | \(-0.816540\pi\) | ||
0.838454 | − | 0.544973i | \(-0.183460\pi\) | |||||||
\(18\) | 0.279032 | − | 0.579417i | 0.0657686 | − | 0.136570i | ||||
\(19\) | −2.29780 | − | 0.524459i | −0.527152 | − | 0.120319i | −0.0493417 | − | 0.998782i | \(-0.515712\pi\) |
−0.477811 | + | 0.878463i | \(0.658569\pi\) | |||||||
\(20\) | 1.12349 | − | 0.541044i | 0.251220 | − | 0.120981i | ||||
\(21\) | −0.193096 | − | 0.400969i | −0.0421371 | − | 0.0874986i | ||||
\(22\) | −0.489115 | − | 2.14295i | −0.104280 | − | 0.456879i | ||||
\(23\) | 1.43147 | − | 1.79500i | 0.298482 | − | 0.374284i | −0.609863 | − | 0.792507i | \(-0.708775\pi\) |
0.908344 | + | 0.418223i | \(0.137347\pi\) | |||||||
\(24\) | −1.31551 | − | 1.64960i | −0.268528 | − | 0.336723i | ||||
\(25\) | 1.00604 | − | 4.40775i | 0.201208 | − | 0.881551i | ||||
\(26\) | 2.45265 | − | 0.559802i | 0.481005 | − | 0.109786i | ||||
\(27\) | −4.33360 | + | 3.45593i | −0.834001 | + | 0.665093i | ||||
\(28\) | 0.643104 | 0.121535 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | 0.384043 | 0.0701163 | ||||||||
\(31\) | −5.23203 | + | 4.17241i | −0.939701 | + | 0.749386i | −0.968192 | − | 0.250208i | \(-0.919501\pi\) |
0.0284913 | + | 0.999594i | \(0.490930\pi\) | |||||||
\(32\) | 4.53614 | − | 1.03534i | 0.801883 | − | 0.183025i | ||||
\(33\) | −1.37047 | + | 6.00442i | −0.238568 | + | 1.04524i | ||||
\(34\) | 1.24698 | + | 1.56366i | 0.213855 | + | 0.268166i | ||||
\(35\) | −0.153989 | + | 0.193096i | −0.0260289 | + | 0.0326393i | ||||
\(36\) | −0.579417 | − | 2.53859i | −0.0965695 | − | 0.423098i | ||||
\(37\) | 2.14295 | + | 4.44989i | 0.352299 | + | 0.731557i | 0.999527 | − | 0.0307395i | \(-0.00978622\pi\) |
−0.647228 | + | 0.762296i | \(0.724072\pi\) | |||||||
\(38\) | 0.945042 | − | 0.455108i | 0.153306 | − | 0.0738283i | ||||
\(39\) | −6.87219 | − | 1.56853i | −1.10043 | − | 0.251166i | ||||
\(40\) | −0.508041 | + | 1.05496i | −0.0803283 | + | 0.166804i | ||||
\(41\) | 3.10992i | 0.485687i | 0.970065 | + | 0.242844i | \(0.0780802\pi\) | ||||
−0.970065 | + | 0.242844i | \(0.921920\pi\) | |||||||
\(42\) | 0.178448 | + | 0.0859360i | 0.0275351 | + | 0.0132602i | ||||
\(43\) | 2.66277 | + | 2.12349i | 0.406069 | + | 0.323829i | 0.805133 | − | 0.593094i | \(-0.202094\pi\) |
−0.399065 | + | 0.916923i | \(0.630665\pi\) | |||||||
\(44\) | −6.95812 | − | 5.54892i | −1.04898 | − | 0.836531i | ||||
\(45\) | 0.900969 | + | 0.433884i | 0.134309 | + | 0.0646796i | ||||
\(46\) | 1.02177i | 0.150652i | ||||||||
\(47\) | −2.79640 | + | 5.80678i | −0.407897 | + | 0.847006i | 0.591281 | + | 0.806465i | \(0.298622\pi\) |
−0.999178 | + | 0.0405407i | \(0.987092\pi\) | |||||||
\(48\) | −3.46583 | − | 0.791053i | −0.500249 | − | 0.114179i | ||||
\(49\) | 6.19202 | − | 2.98192i | 0.884574 | − | 0.425989i | ||||
\(50\) | 0.873009 | + | 1.81282i | 0.123462 | + | 0.256372i | ||||
\(51\) | −1.24698 | − | 5.46337i | −0.174612 | − | 0.765025i | ||||
\(52\) | 6.35086 | − | 7.96372i | 0.880705 | − | 1.10437i | ||||
\(53\) | −2.92543 | − | 3.66837i | −0.401838 | − | 0.503889i | 0.539205 | − | 0.842174i | \(-0.318725\pi\) |
−0.941044 | + | 0.338285i | \(0.890153\pi\) | |||||||
\(54\) | 0.548917 | − | 2.40496i | 0.0746982 | − | 0.327274i | ||||
\(55\) | 3.33220 | − | 0.760553i | 0.449314 | − | 0.102553i | ||||
\(56\) | −0.472129 | + | 0.376510i | −0.0630909 | + | 0.0503133i | ||||
\(57\) | −2.93900 | −0.389280 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −12.4940 | −1.62657 | −0.813287 | − | 0.581862i | \(-0.802324\pi\) | ||||
−0.813287 | + | 0.581862i | \(0.802324\pi\) | |||||||
\(60\) | 1.21572 | − | 0.969501i | 0.156948 | − | 0.125162i | ||||
\(61\) | 1.60191 | − | 0.365625i | 0.205103 | − | 0.0468135i | −0.118735 | − | 0.992926i | \(-0.537884\pi\) |
0.323838 | + | 0.946113i | \(0.395027\pi\) | |||||||
\(62\) | 0.662718 | − | 2.90356i | 0.0841653 | − | 0.368752i | ||||
\(63\) | 0.321552 | + | 0.403214i | 0.0405118 | + | 0.0508001i | ||||
\(64\) | 2.26391 | − | 2.83885i | 0.282988 | − | 0.354856i | ||||
\(65\) | 0.870469 | + | 3.81378i | 0.107968 | + | 0.473041i | ||||
\(66\) | −1.18925 | − | 2.46950i | −0.146386 | − | 0.303975i | ||||
\(67\) | −2.09299 | + | 1.00793i | −0.255699 | + | 0.123138i | −0.557343 | − | 0.830282i | \(-0.688179\pi\) |
0.301643 | + | 0.953421i | \(0.402465\pi\) | |||||||
\(68\) | 7.89481 | + | 1.80194i | 0.957386 | + | 0.218517i | ||||
\(69\) | 1.24218 | − | 2.57942i | 0.149541 | − | 0.310525i | ||||
\(70\) | − | 0.109916i | − | 0.0131375i | ||||||
\(71\) | −6.60872 | − | 3.18259i | −0.784311 | − | 0.377704i | −0.00152768 | − | 0.999999i | \(-0.500486\pi\) |
−0.782783 | + | 0.622295i | \(0.786201\pi\) | |||||||
\(72\) | 1.91161 | + | 1.52446i | 0.225285 | + | 0.179659i | ||||
\(73\) | 4.39831 | + | 3.50753i | 0.514783 | + | 0.410526i | 0.846125 | − | 0.532985i | \(-0.178930\pi\) |
−0.331342 | + | 0.943511i | \(0.607501\pi\) | |||||||
\(74\) | −1.98039 | − | 0.953703i | −0.230215 | − | 0.110866i | ||||
\(75\) | − | 5.63773i | − | 0.650989i | ||||||
\(76\) | 1.84270 | − | 3.82640i | 0.211372 | − | 0.438918i | ||||
\(77\) | 1.71851 | + | 0.392240i | 0.195843 | + | 0.0446999i | ||||
\(78\) | 2.82640 | − | 1.36112i | 0.320026 | − | 0.154117i | ||||
\(79\) | −2.02401 | − | 4.20291i | −0.227719 | − | 0.472864i | 0.755534 | − | 0.655110i | \(-0.227378\pi\) |
−0.983253 | + | 0.182246i | \(0.941663\pi\) | |||||||
\(80\) | 0.439001 | + | 1.92339i | 0.0490818 | + | 0.215041i | ||||
\(81\) | −1.60656 | + | 2.01457i | −0.178507 | + | 0.223841i | ||||
\(82\) | −0.862937 | − | 1.08209i | −0.0952954 | − | 0.119497i | ||||
\(83\) | −0.991271 | + | 4.34304i | −0.108806 | + | 0.476711i | 0.890939 | + | 0.454123i | \(0.150047\pi\) |
−0.999745 | + | 0.0225872i | \(0.992810\pi\) | |||||||
\(84\) | 0.781831 | − | 0.178448i | 0.0853048 | − | 0.0194703i | ||||
\(85\) | −2.43143 | + | 1.93900i | −0.263726 | + | 0.210314i | ||||
\(86\) | −1.51573 | −0.163445 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 8.35690 | 0.890848 | ||||||||
\(89\) | −4.44076 | + | 3.54138i | −0.470719 | + | 0.375386i | −0.829927 | − | 0.557871i | \(-0.811618\pi\) |
0.359208 | + | 0.933257i | \(0.383047\pi\) | |||||||
\(90\) | −0.433884 | + | 0.0990311i | −0.0457354 | + | 0.0104388i | ||||
\(91\) | −0.448927 | + | 1.96688i | −0.0470603 | + | 0.206185i | ||||
\(92\) | 2.57942 | + | 3.23449i | 0.268923 | + | 0.337219i | ||||
\(93\) | −5.20291 | + | 6.52424i | −0.539516 | + | 0.676532i | ||||
\(94\) | −0.638260 | − | 2.79640i | −0.0658315 | − | 0.288427i | ||||
\(95\) | 0.707674 | + | 1.46950i | 0.0726058 | + | 0.150768i | ||||
\(96\) | 5.22737 | − | 2.51737i | 0.533516 | − | 0.256928i | ||||
\(97\) | 0.176076 | + | 0.0401881i | 0.0178778 | + | 0.00408049i | 0.231450 | − | 0.972847i | \(-0.425653\pi\) |
−0.213573 | + | 0.976927i | \(0.568510\pi\) | |||||||
\(98\) | −1.32708 | + | 2.75571i | −0.134055 | + | 0.278369i | ||||
\(99\) | − | 7.13706i | − | 0.717302i | ||||||
\(100\) | 7.33997 | + | 3.53474i | 0.733997 | + | 0.353474i | ||||
\(101\) | −2.52494 | − | 2.01357i | −0.251241 | − | 0.200358i | 0.489769 | − | 0.871853i | \(-0.337081\pi\) |
−0.741010 | + | 0.671494i | \(0.765653\pi\) | |||||||
\(102\) | 1.94986 | + | 1.55496i | 0.193064 | + | 0.153964i | ||||
\(103\) | 12.3007 | + | 5.92372i | 1.21203 | + | 0.583682i | 0.927081 | − | 0.374861i | \(-0.122310\pi\) |
0.284947 | + | 0.958543i | \(0.408024\pi\) | |||||||
\(104\) | 9.56465i | 0.937891i | ||||||||
\(105\) | −0.133627 | + | 0.277479i | −0.0130406 | + | 0.0270792i | ||||
\(106\) | 2.03579 | + | 0.464656i | 0.197734 | + | 0.0451314i | ||||
\(107\) | −14.6359 | + | 7.04826i | −1.41490 | + | 0.681381i | −0.976124 | − | 0.217214i | \(-0.930303\pi\) |
−0.438779 | + | 0.898595i | \(0.644589\pi\) | |||||||
\(108\) | −4.33360 | − | 8.99880i | −0.417000 | − | 0.865910i | ||||
\(109\) | 1.21648 | + | 5.32975i | 0.116518 | + | 0.510497i | 0.999180 | + | 0.0404895i | \(0.0128917\pi\) |
−0.882662 | + | 0.470008i | \(0.844251\pi\) | |||||||
\(110\) | −0.948394 | + | 1.18925i | −0.0904258 | + | 0.113390i | ||||
\(111\) | 3.83997 | + | 4.81517i | 0.364474 | + | 0.457036i | ||||
\(112\) | −0.226406 | + | 0.991949i | −0.0213933 | + | 0.0937303i | ||||
\(113\) | −10.4069 | + | 2.37531i | −0.979002 | + | 0.223451i | −0.681940 | − | 0.731408i | \(-0.738864\pi\) |
−0.297061 | + | 0.954858i | \(0.596007\pi\) | |||||||
\(114\) | 1.02262 | − | 0.815511i | 0.0957770 | − | 0.0763796i | ||||
\(115\) | −1.58881 | −0.148157 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 8.16852 | 0.755180 | ||||||||
\(118\) | 4.34724 | − | 3.46681i | 0.400196 | − | 0.319146i | ||||
\(119\) | −1.56366 | + | 0.356896i | −0.143341 | + | 0.0327166i | ||||
\(120\) | −0.324904 | + | 1.42350i | −0.0296596 | + | 0.129947i | ||||
\(121\) | −8.35086 | − | 10.4716i | −0.759169 | − | 0.951967i | ||||
\(122\) | −0.455927 | + | 0.571714i | −0.0412777 | + | 0.0517606i | ||||
\(123\) | 0.862937 | + | 3.78077i | 0.0778084 | + | 0.340901i | ||||
\(124\) | −5.23203 | − | 10.8644i | −0.469850 | − | 0.975654i | ||||
\(125\) | −5.93631 | + | 2.85878i | −0.530960 | + | 0.255697i | ||||
\(126\) | −0.223767 | − | 0.0510733i | −0.0199347 | − | 0.00454997i | ||||
\(127\) | 0.449866 | − | 0.934157i | 0.0399192 | − | 0.0828930i | −0.880055 | − | 0.474871i | \(-0.842495\pi\) |
0.919975 | + | 0.391978i | \(0.128209\pi\) | |||||||
\(128\) | 10.9215i | 0.965337i | ||||||||
\(129\) | 3.82640 | + | 1.84270i | 0.336895 | + | 0.162240i | ||||
\(130\) | −1.36112 | − | 1.08546i | −0.119378 | − | 0.0952009i | ||||
\(131\) | 6.27167 | + | 5.00149i | 0.547959 | + | 0.436982i | 0.857932 | − | 0.513763i | \(-0.171749\pi\) |
−0.309974 | + | 0.950745i | \(0.600320\pi\) | |||||||
\(132\) | −9.99880 | − | 4.81517i | −0.870284 | − | 0.419107i | ||||
\(133\) | 0.841166i | 0.0729384i | ||||||||
\(134\) | 0.448572 | − | 0.931468i | 0.0387507 | − | 0.0804666i | ||||
\(135\) | 3.73962 | + | 0.853543i | 0.321855 | + | 0.0734613i | ||||
\(136\) | −6.85086 | + | 3.29920i | −0.587456 | + | 0.282904i | ||||
\(137\) | 7.47690 | + | 15.5260i | 0.638795 | + | 1.32647i | 0.929203 | + | 0.369569i | \(0.120495\pi\) |
−0.290408 | + | 0.956903i | \(0.593791\pi\) | |||||||
\(138\) | 0.283520 | + | 1.24218i | 0.0241348 | + | 0.105742i | ||||
\(139\) | −10.3922 | + | 13.0315i | −0.881458 | + | 1.10531i | 0.112291 | + | 0.993675i | \(0.464181\pi\) |
−0.993749 | + | 0.111638i | \(0.964390\pi\) | |||||||
\(140\) | −0.277479 | − | 0.347948i | −0.0234513 | − | 0.0294070i | ||||
\(141\) | −1.78836 | + | 7.83534i | −0.150607 | + | 0.659854i | ||||
\(142\) | 3.18259 | − | 0.726406i | 0.267077 | − | 0.0609586i | ||||
\(143\) | 21.8281 | − | 17.4073i | 1.82535 | − | 1.45567i | ||||
\(144\) | 4.11960 | 0.343300 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −2.50365 | −0.207203 | ||||||||
\(147\) | 6.70031 | − | 5.34332i | 0.552633 | − | 0.440710i | ||||
\(148\) | −8.67664 | + | 1.98039i | −0.713215 | + | 0.162787i | ||||
\(149\) | 4.14042 | − | 18.1403i | 0.339196 | − | 1.48612i | −0.461552 | − | 0.887113i | \(-0.652707\pi\) |
0.800748 | − | 0.599002i | \(-0.204436\pi\) | |||||||
\(150\) | 1.56435 | + | 1.96163i | 0.127729 | + | 0.160167i | ||||
\(151\) | 4.69351 | − | 5.88548i | 0.381953 | − | 0.478954i | −0.553276 | − | 0.832998i | \(-0.686622\pi\) |
0.935229 | + | 0.354045i | \(0.115194\pi\) | |||||||
\(152\) | 0.887395 | + | 3.88793i | 0.0719773 | + | 0.315353i | ||||
\(153\) | 2.81762 | + | 5.85086i | 0.227791 | + | 0.473014i | ||||
\(154\) | −0.706791 | + | 0.340373i | −0.0569549 | + | 0.0274280i | ||||
\(155\) | 4.51491 | + | 1.03050i | 0.362647 | + | 0.0827717i | ||||
\(156\) | 5.51107 | − | 11.4438i | 0.441238 | − | 0.916241i | ||||
\(157\) | − | 18.2392i | − | 1.45565i | −0.685764 | − | 0.727824i | \(-0.740532\pi\) | ||
0.685764 | − | 0.727824i | \(-0.259468\pi\) | |||||||
\(158\) | 1.87047 | + | 0.900771i | 0.148807 | + | 0.0716615i | ||||
\(159\) | −4.57438 | − | 3.64795i | −0.362772 | − | 0.289301i | ||||
\(160\) | −2.51737 | − | 2.00753i | −0.199015 | − | 0.158709i | ||||
\(161\) | −0.738250 | − | 0.355523i | −0.0581823 | − | 0.0280191i | ||||
\(162\) | − | 1.14675i | − | 0.0900973i | ||||||
\(163\) | 5.48460 | − | 11.3889i | 0.429587 | − | 0.892046i | −0.568027 | − | 0.823010i | \(-0.692293\pi\) |
0.997614 | − | 0.0690367i | \(-0.0219926\pi\) | |||||||
\(164\) | −5.46337 | − | 1.24698i | −0.426618 | − | 0.0973727i | ||||
\(165\) | 3.83997 | − | 1.84923i | 0.298941 | − | 0.143963i | ||||
\(166\) | −0.860193 | − | 1.78621i | −0.0667639 | − | 0.138637i | ||||
\(167\) | −0.177251 | − | 0.776589i | −0.0137161 | − | 0.0600943i | 0.967607 | − | 0.252462i | \(-0.0812404\pi\) |
−0.981323 | + | 0.192368i | \(0.938383\pi\) | |||||||
\(168\) | −0.469501 | + | 0.588735i | −0.0362228 | + | 0.0454219i | ||||
\(169\) | 11.8177 | + | 14.8189i | 0.909051 | + | 1.13991i | ||||
\(170\) | 0.307979 | − | 1.34934i | 0.0236209 | − | 0.103490i | ||||
\(171\) | 3.32042 | − | 0.757865i | 0.253919 | − | 0.0579554i | ||||
\(172\) | −4.79815 | + | 3.82640i | −0.365855 | + | 0.291760i | ||||
\(173\) | 9.15346 | 0.695924 | 0.347962 | − | 0.937509i | \(-0.386874\pi\) | ||||
0.347962 | + | 0.937509i | \(0.386874\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.61356 | −0.121974 | ||||||||
\(176\) | 11.0085 | − | 8.77897i | 0.829796 | − | 0.661740i | ||||
\(177\) | −15.1891 | + | 3.46681i | −1.14168 | + | 0.260582i | ||||
\(178\) | 0.562491 | − | 2.46443i | 0.0421605 | − | 0.184717i | ||||
\(179\) | −2.12349 | − | 2.66277i | −0.158717 | − | 0.199025i | 0.696114 | − | 0.717931i | \(-0.254911\pi\) |
−0.854831 | + | 0.518906i | \(0.826339\pi\) | |||||||
\(180\) | −1.12349 | + | 1.40881i | −0.0837400 | + | 0.105007i | ||||
\(181\) | −2.82036 | − | 12.3568i | −0.209635 | − | 0.918473i | −0.964810 | − | 0.262949i | \(-0.915305\pi\) |
0.755174 | − | 0.655524i | \(-0.227552\pi\) | |||||||
\(182\) | −0.389564 | − | 0.808938i | −0.0288764 | − | 0.0599625i | ||||
\(183\) | 1.84601 | − | 0.888992i | 0.136461 | − | 0.0657162i | ||||
\(184\) | −3.78731 | − | 0.864429i | −0.279204 | − | 0.0637265i | ||||
\(185\) | 1.48297 | − | 3.07942i | 0.109030 | − | 0.226403i | ||||
\(186\) | − | 3.71379i | − | 0.272308i | ||||||
\(187\) | 19.9976 | + | 9.63034i | 1.46237 | + | 0.704240i | ||||
\(188\) | −9.07985 | − | 7.24094i | −0.662216 | − | 0.528100i | ||||
\(189\) | 1.54664 | + | 1.23341i | 0.112502 | + | 0.0897171i | ||||
\(190\) | −0.653989 | − | 0.314945i | −0.0474454 | − | 0.0228485i | ||||
\(191\) | 10.6703i | 0.772072i | 0.922484 | + | 0.386036i | \(0.126156\pi\) | ||||
−0.922484 | + | 0.386036i | \(0.873844\pi\) | |||||||
\(192\) | 1.96454 | − | 4.07942i | 0.141779 | − | 0.294407i | ||||
\(193\) | 22.1590 | + | 5.05765i | 1.59504 | + | 0.364057i | 0.925509 | − | 0.378727i | \(-0.123638\pi\) |
0.669531 | + | 0.742784i | \(0.266495\pi\) | |||||||
\(194\) | −0.0724165 | + | 0.0348740i | −0.00519920 | + | 0.00250380i | ||||
\(195\) | 2.11649 | + | 4.39493i | 0.151565 | + | 0.314727i | ||||
\(196\) | 2.75571 | + | 12.0735i | 0.196836 | + | 0.862396i | ||||
\(197\) | −12.1942 | + | 15.2910i | −0.868799 | + | 1.08944i | 0.126440 | + | 0.991974i | \(0.459645\pi\) |
−0.995239 | + | 0.0974654i | \(0.968926\pi\) | |||||||
\(198\) | 1.98039 | + | 2.48333i | 0.140740 | + | 0.176482i | ||||
\(199\) | 0.194710 | − | 0.853080i | 0.0138026 | − | 0.0604732i | −0.967558 | − | 0.252650i | \(-0.918698\pi\) |
0.981360 | + | 0.192177i | \(0.0615549\pi\) | |||||||
\(200\) | −7.45801 | + | 1.70224i | −0.527361 | + | 0.120367i | ||||
\(201\) | −2.26480 | + | 1.80612i | −0.159747 | + | 0.127394i | ||||
\(202\) | 1.43727 | 0.101126 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 10.0978 | 0.706990 | ||||||||
\(205\) | 1.68260 | − | 1.34183i | 0.117518 | − | 0.0937175i | ||||
\(206\) | −5.92372 | + | 1.35205i | −0.412725 | + | 0.0942019i | ||||
\(207\) | −0.738250 | + | 3.23449i | −0.0513120 | + | 0.224812i | ||||
\(208\) | 10.0477 | + | 12.5994i | 0.696684 | + | 0.873614i | ||||
\(209\) | 7.25786 | − | 9.10107i | 0.502037 | − | 0.629534i | ||||
\(210\) | −0.0304995 | − | 0.133627i | −0.00210466 | − | 0.00922113i | ||||
\(211\) | 7.92651 | + | 16.4596i | 0.545684 | + | 1.13312i | 0.973379 | + | 0.229201i | \(0.0736113\pi\) |
−0.427695 | + | 0.903923i | \(0.640674\pi\) | |||||||
\(212\) | 7.61745 | − | 3.66837i | 0.523169 | − | 0.251945i | ||||
\(213\) | −8.91742 | − | 2.03534i | −0.611012 | − | 0.139459i | ||||
\(214\) | 3.13677 | − | 6.51357i | 0.214425 | − | 0.445259i | ||||
\(215\) | − | 2.35690i | − | 0.160739i | ||||||
\(216\) | 8.44989 | + | 4.06925i | 0.574942 | + | 0.276877i | ||||
\(217\) | 1.86729 | + | 1.48911i | 0.126760 | + | 0.101088i | ||||
\(218\) | −1.90216 | − | 1.51693i | −0.128831 | − | 0.102739i | ||||
\(219\) | 6.32036 | + | 3.04372i | 0.427090 | + | 0.205676i | ||||
\(220\) | 6.15883i | 0.415228i | ||||||||
\(221\) | −11.0221 | + | 22.8877i | −0.741429 | + | 1.53959i | ||||
\(222\) | −2.67222 | − | 0.609916i | −0.179348 | − | 0.0409349i | ||||
\(223\) | 1.63826 | − | 0.788944i | 0.109706 | − | 0.0528316i | −0.378226 | − | 0.925713i | \(-0.623466\pi\) |
0.487932 | + | 0.872882i | \(0.337751\pi\) | |||||||
\(224\) | −0.720491 | − | 1.49612i | −0.0481398 | − | 0.0999634i | ||||
\(225\) | 1.45377 | + | 6.36939i | 0.0969181 | + | 0.424626i | ||||
\(226\) | 2.96197 | − | 3.71419i | 0.197027 | − | 0.247064i | ||||
\(227\) | −8.63922 | − | 10.8332i | −0.573405 | − | 0.719027i | 0.407567 | − | 0.913175i | \(-0.366377\pi\) |
−0.980972 | + | 0.194148i | \(0.937806\pi\) | |||||||
\(228\) | 1.17845 | − | 5.16312i | 0.0780446 | − | 0.341936i | ||||
\(229\) | −12.4522 | + | 2.84213i | −0.822862 | + | 0.187813i | −0.613166 | − | 0.789954i | \(-0.710105\pi\) |
−0.209696 | + | 0.977767i | \(0.567247\pi\) | |||||||
\(230\) | 0.552823 | − | 0.440862i | 0.0364521 | − | 0.0290695i | ||||
\(231\) | 2.19806 | 0.144622 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −8.86592 | −0.580826 | −0.290413 | − | 0.956901i | \(-0.593793\pi\) | ||||
−0.290413 | + | 0.956901i | \(0.593793\pi\) | |||||||
\(234\) | −2.84222 | + | 2.26659i | −0.185802 | + | 0.148172i | ||||
\(235\) | 4.34828 | − | 0.992467i | 0.283651 | − | 0.0647414i | ||||
\(236\) | 5.00969 | − | 21.9489i | 0.326103 | − | 1.42875i | ||||
\(237\) | −3.62684 | − | 4.54792i | −0.235589 | − | 0.295419i | ||||
\(238\) | 0.445042 | − | 0.558065i | 0.0288478 | − | 0.0361740i | ||||
\(239\) | 5.68867 | + | 24.9237i | 0.367969 | + | 1.61218i | 0.732349 | + | 0.680929i | \(0.238424\pi\) |
−0.364380 | + | 0.931250i | \(0.618719\pi\) | |||||||
\(240\) | 1.06740 | + | 2.21648i | 0.0689004 | + | 0.143073i | ||||
\(241\) | 8.76755 | − | 4.22223i | 0.564768 | − | 0.271978i | −0.129638 | − | 0.991561i | \(-0.541382\pi\) |
0.694406 | + | 0.719584i | \(0.255667\pi\) | |||||||
\(242\) | 5.81132 | + | 1.32640i | 0.373566 | + | 0.0852640i | ||||
\(243\) | 5.82077 | − | 12.0869i | 0.373402 | − | 0.775378i | ||||
\(244\) | 2.96077i | 0.189544i | ||||||||
\(245\) | −4.28501 | − | 2.06355i | −0.273759 | − | 0.131836i | ||||
\(246\) | −1.34934 | − | 1.07606i | −0.0860309 | − | 0.0686074i | ||||
\(247\) | 10.4164 | + | 8.30678i | 0.662778 | + | 0.528548i | ||||
\(248\) | 10.2017 | + | 4.91288i | 0.647809 | + | 0.311968i | ||||
\(249\) | 5.55496i | 0.352031i | ||||||||
\(250\) | 1.27228 | − | 2.64191i | 0.0804658 | − | 0.167089i | ||||
\(251\) | −9.51560 | − | 2.17187i | −0.600620 | − | 0.137088i | −0.0886088 | − | 0.996067i | \(-0.528242\pi\) |
−0.512011 | + | 0.858979i | \(0.671099\pi\) | |||||||
\(252\) | −0.837282 | + | 0.403214i | −0.0527438 | + | 0.0254001i | ||||
\(253\) | 4.92000 | + | 10.2165i | 0.309318 | + | 0.642305i | ||||
\(254\) | 0.102679 | + | 0.449866i | 0.00644265 | + | 0.0282271i | ||||
\(255\) | −2.41789 | + | 3.03194i | −0.151414 | + | 0.189868i | ||||
\(256\) | 1.49731 | + | 1.87757i | 0.0935820 | + | 0.117348i | ||||
\(257\) | −3.63975 | + | 15.9468i | −0.227041 | + | 0.994734i | 0.724996 | + | 0.688753i | \(0.241841\pi\) |
−0.952038 | + | 0.305981i | \(0.901016\pi\) | |||||||
\(258\) | −1.84270 | + | 0.420583i | −0.114721 | + | 0.0261844i | ||||
\(259\) | 1.37814 | − | 1.09903i | 0.0856335 | − | 0.0682905i | ||||
\(260\) | −7.04892 | −0.437155 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.57002 | −0.220557 | ||||||||
\(263\) | 18.5478 | − | 14.7913i | 1.14370 | − | 0.912074i | 0.146682 | − | 0.989184i | \(-0.453141\pi\) |
0.997023 | + | 0.0771102i | \(0.0245693\pi\) | |||||||
\(264\) | 10.1596 | − | 2.31886i | 0.625280 | − | 0.142716i | ||||
\(265\) | −0.722521 | + | 3.16557i | −0.0443841 | + | 0.194459i | ||||
\(266\) | −0.233406 | − | 0.292682i | −0.0143110 | − | 0.0179455i | ||||
\(267\) | −4.41603 | + | 5.53753i | −0.270257 | + | 0.338891i | ||||
\(268\) | −0.931468 | − | 4.08103i | −0.0568985 | − | 0.249289i | ||||
\(269\) | −11.0009 | − | 22.8436i | −0.670737 | − | 1.39280i | −0.907008 | − | 0.421113i | \(-0.861640\pi\) |
0.236271 | − | 0.971687i | \(-0.424075\pi\) | |||||||
\(270\) | −1.53803 | + | 0.740677i | −0.0936017 | + | 0.0450762i | ||||
\(271\) | 1.17327 | + | 0.267790i | 0.0712709 | + | 0.0162671i | 0.258008 | − | 0.966143i | \(-0.416934\pi\) |
−0.186737 | + | 0.982410i | \(0.559791\pi\) | |||||||
\(272\) | −5.55876 | + | 11.5429i | −0.337049 | + | 0.699890i | ||||
\(273\) | 2.51573i | 0.152259i | ||||||||
\(274\) | −6.90970 | − | 3.32754i | −0.417430 | − | 0.201024i | ||||
\(275\) | 17.4581 | + | 13.9224i | 1.05276 | + | 0.839551i | ||||
\(276\) | 4.03334 | + | 3.21648i | 0.242778 | + | 0.193609i | ||||
\(277\) | −9.60872 | − | 4.62732i | −0.577332 | − | 0.278028i | 0.122345 | − | 0.992488i | \(-0.460959\pi\) |
−0.699677 | + | 0.714459i | \(0.746673\pi\) | |||||||
\(278\) | − | 7.41789i | − | 0.444896i | ||||||
\(279\) | 4.19576 | − | 8.71260i | 0.251194 | − | 0.521609i | ||||
\(280\) | 0.407417 | + | 0.0929903i | 0.0243478 | + | 0.00555724i | ||||
\(281\) | 14.6673 | − | 7.06341i | 0.874979 | − | 0.421368i | 0.0581911 | − | 0.998305i | \(-0.481467\pi\) |
0.816788 | + | 0.576938i | \(0.195752\pi\) | |||||||
\(282\) | −1.55188 | − | 3.22252i | −0.0924134 | − | 0.191898i | ||||
\(283\) | −1.16756 | − | 5.11543i | −0.0694044 | − | 0.304081i | 0.928297 | − | 0.371839i | \(-0.121273\pi\) |
−0.997702 | + | 0.0677581i | \(0.978415\pi\) | |||||||
\(284\) | 8.24094 | − | 10.3338i | 0.489010 | − | 0.613199i | ||||
\(285\) | 1.26809 | + | 1.59013i | 0.0751149 | + | 0.0941911i | ||||
\(286\) | −2.76487 | + | 12.1137i | −0.163490 | + | 0.716296i | ||||
\(287\) | 1.08209 | − | 0.246980i | 0.0638737 | − | 0.0145787i | ||||
\(288\) | −5.25663 | + | 4.19202i | −0.309750 | + | 0.247017i | ||||
\(289\) | −3.19567 | −0.187981 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.225209 | 0.0132020 | ||||||||
\(292\) | −7.92548 | + | 6.32036i | −0.463803 | + | 0.369871i | ||||
\(293\) | −6.59419 | + | 1.50508i | −0.385237 | + | 0.0879278i | −0.410753 | − | 0.911747i | \(-0.634734\pi\) |
0.0255163 | + | 0.999674i | \(0.491877\pi\) | |||||||
\(294\) | −0.848699 | + | 3.71839i | −0.0494971 | + | 0.216861i | ||||
\(295\) | 5.39075 | + | 6.75978i | 0.313861 | + | 0.393570i | ||||
\(296\) | 5.21044 | − | 6.53368i | 0.302851 | − | 0.379763i | ||||
\(297\) | −6.09179 | − | 26.6899i | −0.353482 | − | 1.54870i | ||||
\(298\) | 3.59292 | + | 7.46077i | 0.208132 | + | 0.432191i | ||||
\(299\) | −11.6930 | + | 5.63104i | −0.676223 | + | 0.325652i | ||||
\(300\) | 9.90413 | + | 2.26055i | 0.571815 | + | 0.130513i | ||||
\(301\) | 0.527395 | − | 1.09515i | 0.0303985 | − | 0.0631232i | ||||
\(302\) | 3.35019i | 0.192782i | ||||||||
\(303\) | −3.62833 | − | 1.74731i | −0.208442 | − | 0.100381i | ||||
\(304\) | 5.25326 | + | 4.18933i | 0.301295 | + | 0.240275i | ||||
\(305\) | −0.888992 | − | 0.708947i | −0.0509035 | − | 0.0405942i | ||||
\(306\) | −2.60388 | − | 1.25396i | −0.148854 | − | 0.0716841i | ||||
\(307\) | − | 4.51812i | − | 0.257863i | −0.991654 | − | 0.128931i | \(-0.958845\pi\) | ||
0.991654 | − | 0.128931i | \(-0.0411547\pi\) | |||||||
\(308\) | −1.37814 | + | 2.86174i | −0.0785269 | + | 0.163063i | ||||
\(309\) | 16.5979 | + | 3.78836i | 0.944222 | + | 0.215513i | ||||
\(310\) | −1.85690 | + | 0.894234i | −0.105465 | + | 0.0507891i | ||||
\(311\) | −5.47412 | − | 11.3671i | −0.310409 | − | 0.644570i | 0.686150 | − | 0.727460i | \(-0.259299\pi\) |
−0.996559 | + | 0.0828899i | \(0.973585\pi\) | |||||||
\(312\) | 2.65399 | + | 11.6279i | 0.150253 | + | 0.658299i | ||||
\(313\) | 11.9961 | − | 15.0427i | 0.678061 | − | 0.850261i | −0.317113 | − | 0.948388i | \(-0.602714\pi\) |
0.995174 | + | 0.0981266i | \(0.0312850\pi\) | |||||||
\(314\) | 5.06100 | + | 6.34629i | 0.285609 | + | 0.358142i | ||||
\(315\) | 0.0794168 | − | 0.347948i | 0.00447463 | − | 0.0196046i | ||||
\(316\) | 8.19506 | − | 1.87047i | 0.461008 | − | 0.105222i | ||||
\(317\) | −2.24254 | + | 1.78836i | −0.125953 | + | 0.100445i | −0.684441 | − | 0.729069i | \(-0.739953\pi\) |
0.558487 | + | 0.829513i | \(0.311382\pi\) | |||||||
\(318\) | 2.60388 | 0.146018 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −2.51275 | −0.140467 | ||||||||
\(321\) | −15.8373 | + | 12.6298i | −0.883952 | + | 0.704928i | ||||
\(322\) | 0.355523 | − | 0.0811457i | 0.0198125 | − | 0.00452207i | ||||
\(323\) | −2.35690 | + | 10.3262i | −0.131141 | + | 0.574567i | ||||
\(324\) | −2.89493 | − | 3.63012i | −0.160829 | − | 0.201674i | ||||
\(325\) | −15.9345 | + | 19.9812i | −0.883884 | + | 1.10836i | ||||
\(326\) | 1.25182 | + | 5.48460i | 0.0693321 | + | 0.303764i | ||||
\(327\) | 2.95779 | + | 6.14191i | 0.163566 | + | 0.339648i | ||||
\(328\) | 4.74094 | − | 2.28312i | 0.261775 | − | 0.126064i | ||||
\(329\) | 2.24254 | + | 0.511845i | 0.123635 | + | 0.0282189i | ||||
\(330\) | −0.822986 | + | 1.70895i | −0.0453039 | + | 0.0940745i | ||||
\(331\) | 3.13408i | 0.172265i | 0.996284 | + | 0.0861323i | \(0.0274508\pi\) | ||||
−0.996284 | + | 0.0861323i | \(0.972549\pi\) | |||||||
\(332\) | −7.23221 | − | 3.48285i | −0.396919 | − | 0.191146i | ||||
\(333\) | −5.57998 | − | 4.44989i | −0.305781 | − | 0.243852i | ||||
\(334\) | 0.277162 | + | 0.221029i | 0.0151656 | + | 0.0120942i | ||||
\(335\) | 1.44839 | + | 0.697510i | 0.0791342 | + | 0.0381090i | ||||
\(336\) | 1.26875i | 0.0692160i | ||||||||
\(337\) | 2.16184 | − | 4.48911i | 0.117763 | − | 0.244538i | −0.833752 | − | 0.552139i | \(-0.813812\pi\) |
0.951515 | + | 0.307601i | \(0.0995262\pi\) | |||||||
\(338\) | −8.22386 | − | 1.87704i | −0.447319 | − | 0.102098i | ||||
\(339\) | −11.9928 | + | 5.77541i | −0.651357 | + | 0.313677i | ||||
\(340\) | −2.43143 | − | 5.04892i | −0.131863 | − | 0.273816i | ||||
\(341\) | −7.35474 | − | 32.2232i | −0.398281 | − | 1.74499i | ||||
\(342\) | −0.945042 | + | 1.18505i | −0.0511020 | + | 0.0640799i | ||||
\(343\) | −3.08695 | − | 3.87091i | −0.166680 | − | 0.209010i | ||||
\(344\) | 1.28232 | − | 5.61823i | 0.0691382 | − | 0.302914i | ||||
\(345\) | −1.93154 | + | 0.440862i | −0.103991 | + | 0.0237352i | ||||
\(346\) | −3.18492 | + | 2.53989i | −0.171223 | + | 0.136545i | ||||
\(347\) | −20.1172 | −1.07995 | −0.539974 | − | 0.841682i | \(-0.681566\pi\) | ||||
−0.539974 | + | 0.841682i | \(0.681566\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 20.4892 | 1.09676 | 0.548380 | − | 0.836229i | \(-0.315245\pi\) | ||||
0.548380 | + | 0.836229i | \(0.315245\pi\) | |||||||
\(350\) | 0.561436 | − | 0.447730i | 0.0300100 | − | 0.0239322i | ||||
\(351\) | 30.5472 | − | 6.97219i | 1.63049 | − | 0.372148i | ||||
\(352\) | −5.11356 | + | 22.4040i | −0.272554 | + | 1.19414i | ||||
\(353\) | −11.2213 | − | 14.0711i | −0.597251 | − | 0.748929i | 0.387696 | − | 0.921787i | \(-0.373271\pi\) |
−0.984947 | + | 0.172859i | \(0.944700\pi\) | |||||||
\(354\) | 4.32304 | − | 5.42093i | 0.229767 | − | 0.288119i | ||||
\(355\) | 1.12953 | + | 4.94880i | 0.0599493 | + | 0.262655i | ||||
\(356\) | −4.44076 | − | 9.22132i | −0.235360 | − | 0.488729i | ||||
\(357\) | −1.80194 | + | 0.867767i | −0.0953687 | + | 0.0459271i | ||||
\(358\) | 1.47773 | + | 0.337282i | 0.0781003 | + | 0.0178259i | ||||
\(359\) | −10.2521 | + | 21.2887i | −0.541084 | + | 1.12357i | 0.433831 | + | 0.900994i | \(0.357162\pi\) |
−0.974915 | + | 0.222578i | \(0.928553\pi\) | |||||||
\(360\) | − | 1.69202i | − | 0.0891774i | ||||||
\(361\) | −12.1136 | − | 5.83359i | −0.637556 | − | 0.307031i | ||||
\(362\) | 4.41009 | + | 3.51693i | 0.231789 | + | 0.184846i | ||||
\(363\) | −13.0579 | − | 10.4133i | −0.685363 | − | 0.546559i | ||||
\(364\) | −3.27532 | − | 1.57731i | −0.171674 | − | 0.0826736i | ||||
\(365\) | − | 3.89307i | − | 0.203772i | ||||||
\(366\) | −0.395639 | + | 0.821552i | −0.0206804 | + | 0.0429432i | ||||
\(367\) | −28.8999 | − | 6.59621i | −1.50856 | − | 0.344319i | −0.613297 | − | 0.789853i | \(-0.710157\pi\) |
−0.895265 | + | 0.445533i | \(0.853014\pi\) | |||||||
\(368\) | −5.89708 | + | 2.83989i | −0.307407 | + | 0.148039i | ||||
\(369\) | −1.94986 | − | 4.04892i | −0.101505 | − | 0.210778i | ||||
\(370\) | 0.338478 | + | 1.48297i | 0.0175966 | + | 0.0770959i | ||||
\(371\) | −1.04407 | + | 1.30923i | −0.0542056 | + | 0.0679716i | ||||
\(372\) | −9.37531 | − | 11.7563i | −0.486087 | − | 0.609534i | ||||
\(373\) | 5.60483 | − | 24.5564i | 0.290207 | − | 1.27148i | −0.594030 | − | 0.804443i | \(-0.702464\pi\) |
0.884237 | − | 0.467038i | \(-0.154679\pi\) | |||||||
\(374\) | −9.63034 | + | 2.19806i | −0.497973 | + | 0.113659i | ||||
\(375\) | −6.42361 | + | 5.12266i | −0.331714 | + | 0.264533i | ||||
\(376\) | 10.9051 | 0.562390 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −0.880395 | −0.0452826 | ||||||||
\(379\) | −21.0368 | + | 16.7763i | −1.08059 | + | 0.861740i | −0.990950 | − | 0.134235i | \(-0.957142\pi\) |
−0.0896379 | + | 0.995974i | \(0.528571\pi\) | |||||||
\(380\) | −2.86531 | + | 0.653989i | −0.146988 | + | 0.0335489i | ||||
\(381\) | 0.287700 | − | 1.26050i | 0.0147393 | − | 0.0645772i | ||||
\(382\) | −2.96077 | − | 3.71269i | −0.151486 | − | 0.189958i | ||||
\(383\) | 12.2635 | − | 15.3780i | 0.626637 | − | 0.785779i | −0.362624 | − | 0.931936i | \(-0.618119\pi\) |
0.989261 | + | 0.146157i | \(0.0466905\pi\) | |||||||
\(384\) | 3.03050 | + | 13.2775i | 0.154650 | + | 0.677564i | ||||
\(385\) | −0.529265 | − | 1.09903i | −0.0269739 | − | 0.0560118i | ||||
\(386\) | −9.11356 | + | 4.38886i | −0.463868 | + | 0.223387i | ||||
\(387\) | −4.79815 | − | 1.09515i | −0.243904 | − | 0.0556694i | ||||
\(388\) | −0.141202 | + | 0.293209i | −0.00716843 | + | 0.0148854i | ||||
\(389\) | 24.8552i | 1.26021i | 0.776511 | + | 0.630103i | \(0.216988\pi\) | ||||
−0.776511 | + | 0.630103i | \(0.783012\pi\) | |||||||
\(390\) | −1.95593 | − | 0.941925i | −0.0990422 | − | 0.0476962i | ||||
\(391\) | −8.06668 | − | 6.43296i | −0.407949 | − | 0.325329i | ||||
\(392\) | −9.09163 | − | 7.25033i | −0.459197 | − | 0.366197i | ||||
\(393\) | 9.01238 | + | 4.34013i | 0.454614 | + | 0.218931i | ||||
\(394\) | − | 8.70410i | − | 0.438506i | ||||||
\(395\) | −1.40066 | + | 2.90850i | −0.0704749 | + | 0.146343i | ||||
\(396\) | 12.5381 | + | 2.86174i | 0.630063 | + | 0.143808i | ||||
\(397\) | 3.59903 | − | 1.73320i | 0.180630 | − | 0.0869869i | −0.341383 | − | 0.939924i | \(-0.610895\pi\) |
0.522013 | + | 0.852937i | \(0.325181\pi\) | |||||||
\(398\) | 0.168963 | + | 0.350855i | 0.00846934 | + | 0.0175868i | ||||
\(399\) | 0.233406 | + | 1.02262i | 0.0116849 | + | 0.0511950i | ||||
\(400\) | −8.03617 | + | 10.0770i | −0.401809 | + | 0.503852i | ||||
\(401\) | −15.5293 | − | 19.4731i | −0.775496 | − | 0.972442i | 0.224502 | − | 0.974474i | \(-0.427925\pi\) |
−0.999998 | + | 0.00203202i | \(0.999353\pi\) | |||||||
\(402\) | 0.286872 | − | 1.25687i | 0.0143079 | − | 0.0626869i | ||||
\(403\) | 36.8802 | − | 8.41766i | 1.83713 | − | 0.419313i | ||||
\(404\) | 4.54979 | − | 3.62833i | 0.226360 | − | 0.180516i | ||||
\(405\) | 1.78315 | 0.0886055 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −24.3937 | −1.20915 | ||||||||
\(408\) | −7.41323 | + | 5.91185i | −0.367010 | + | 0.292680i | ||||
\(409\) | −0.276123 | + | 0.0630233i | −0.0136534 | + | 0.00311630i | −0.229342 | − | 0.973346i | \(-0.573657\pi\) |
0.215689 | + | 0.976462i | \(0.430800\pi\) | |||||||
\(410\) | −0.213128 | + | 0.933774i | −0.0105256 | + | 0.0461158i | ||||
\(411\) | 13.3979 | + | 16.8005i | 0.660870 | + | 0.828705i | ||||
\(412\) | −15.3388 | + | 19.2342i | −0.755687 | + | 0.947602i | ||||
\(413\) | 0.992230 | + | 4.34724i | 0.0488245 | + | 0.213914i | ||||
\(414\) | −0.640630 | − | 1.33028i | −0.0314852 | − | 0.0653798i | ||||
\(415\) | 2.77748 | − | 1.33756i | 0.136341 | − | 0.0656584i | ||||
\(416\) | −25.6418 | − | 5.85258i | −1.25719 | − | 0.286947i | ||||
\(417\) | −9.01805 | + | 18.7262i | −0.441616 | + | 0.917024i | ||||
\(418\) | 5.18060i | 0.253392i | ||||||||
\(419\) | −23.8654 | − | 11.4930i | −1.16590 | − | 0.561468i | −0.252128 | − | 0.967694i | \(-0.581130\pi\) |
−0.913773 | + | 0.406226i | \(0.866845\pi\) | |||||||
\(420\) | −0.433884 | − | 0.346011i | −0.0211714 | − | 0.0168836i | ||||
\(421\) | −13.7462 | − | 10.9623i | −0.669951 | − | 0.534268i | 0.228389 | − | 0.973570i | \(-0.426654\pi\) |
−0.898339 | + | 0.439302i | \(0.855226\pi\) | |||||||
\(422\) | −7.32520 | − | 3.52763i | −0.356585 | − | 0.171722i | ||||
\(423\) | − | 9.31336i | − | 0.452831i | ||||||
\(424\) | −3.44460 | + | 7.15279i | −0.167285 | + | 0.347370i | ||||
\(425\) | −19.8083 | − | 4.52111i | −0.960842 | − | 0.219306i | ||||
\(426\) | 3.66756 | − | 1.76621i | 0.177694 | − | 0.0855729i | ||||
\(427\) | −0.254437 | − | 0.528344i | −0.0123131 | − | 0.0255683i | ||||
\(428\) | −6.51357 | − | 28.5378i | −0.314845 | − | 1.37943i | ||||
\(429\) | 21.7066 | − | 27.2192i | 1.04800 | − | 1.31415i | ||||
\(430\) | 0.653989 | + | 0.820077i | 0.0315382 | + | 0.0395476i | ||||
\(431\) | 6.18502 | − | 27.0983i | 0.297922 | − | 1.30528i | −0.575293 | − | 0.817947i | \(-0.695112\pi\) |
0.873215 | − | 0.487334i | \(-0.162031\pi\) | |||||||
\(432\) | 15.4058 | − | 3.51626i | 0.741210 | − | 0.169176i | ||||
\(433\) | −4.59374 | + | 3.66338i | −0.220761 | + | 0.176051i | −0.727625 | − | 0.685975i | \(-0.759376\pi\) |
0.506864 | + | 0.862026i | \(0.330805\pi\) | |||||||
\(434\) | −1.06292 | −0.0510217 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.85086 | −0.471770 | ||||||||
\(437\) | −4.23064 | + | 3.37382i | −0.202379 | + | 0.161392i | ||||
\(438\) | −3.04372 | + | 0.694710i | −0.145435 | + | 0.0331945i | ||||
\(439\) | −3.50269 | + | 15.3463i | −0.167174 | + | 0.732438i | 0.819944 | + | 0.572444i | \(0.194005\pi\) |
−0.987118 | + | 0.159994i | \(0.948853\pi\) | |||||||
\(440\) | −3.60574 | − | 4.52145i | −0.171897 | − | 0.215552i | ||||
\(441\) | −6.19202 | + | 7.76455i | −0.294858 | + | 0.369740i | ||||
\(442\) | −2.51573 | − | 11.0221i | −0.119661 | − | 0.524269i | ||||
\(443\) | −2.92375 | − | 6.07122i | −0.138911 | − | 0.288452i | 0.819894 | − | 0.572515i | \(-0.194032\pi\) |
−0.958806 | + | 0.284062i | \(0.908318\pi\) | |||||||
\(444\) | −9.99880 | + | 4.81517i | −0.474522 | + | 0.228518i | ||||
\(445\) | 3.83209 | + | 0.874650i | 0.181659 | + | 0.0414624i | ||||
\(446\) | −0.351113 | + | 0.729094i | −0.0166257 | + | 0.0345236i | ||||
\(447\) | − | 23.2024i | − | 1.09743i | ||||||
\(448\) | −1.16756 | − | 0.562269i | −0.0551622 | − | 0.0265647i | ||||
\(449\) | −9.63221 | − | 7.68143i | −0.454572 | − | 0.362509i | 0.369276 | − | 0.929320i | \(-0.379606\pi\) |
−0.823848 | + | 0.566811i | \(0.808177\pi\) | |||||||
\(450\) | −2.27321 | − | 1.81282i | −0.107160 | − | 0.0854573i | ||||
\(451\) | −13.8388 | − | 6.66440i | −0.651642 | − | 0.313814i | ||||
\(452\) | − | 19.2349i | − | 0.904733i | ||||||
\(453\) | 4.07288 | − | 8.45742i | 0.191361 | − | 0.397364i | ||||
\(454\) | 6.01199 | + | 1.37220i | 0.282157 | + | 0.0644005i | ||||
\(455\) | 1.25786 | − | 0.605756i | 0.0589696 | − | 0.0283983i | ||||
\(456\) | 2.15764 | + | 4.48039i | 0.101041 | + | 0.209813i | ||||
\(457\) | 3.04019 | + | 13.3199i | 0.142214 | + | 0.623080i | 0.994918 | + | 0.100686i | \(0.0321038\pi\) |
−0.852704 | + | 0.522394i | \(0.825039\pi\) | |||||||
\(458\) | 3.54407 | − | 4.44413i | 0.165604 | − | 0.207660i | ||||
\(459\) | 15.5308 | + | 19.4750i | 0.724915 | + | 0.909015i | ||||
\(460\) | 0.637063 | − | 2.79116i | 0.0297032 | − | 0.130138i | ||||
\(461\) | 11.3171 | − | 2.58306i | 0.527092 | − | 0.120305i | 0.0493096 | − | 0.998784i | \(-0.484298\pi\) |
0.477782 | + | 0.878478i | \(0.341441\pi\) | |||||||
\(462\) | −0.764811 | + | 0.609916i | −0.0355822 | + | 0.0283759i | ||||
\(463\) | 7.24267 | 0.336595 | 0.168298 | − | 0.985736i | \(-0.446173\pi\) | ||||
0.168298 | + | 0.985736i | \(0.446173\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 5.77479 | 0.267800 | ||||||||
\(466\) | 3.08488 | − | 2.46011i | 0.142904 | − | 0.113962i | ||||
\(467\) | 2.01166 | − | 0.459148i | 0.0930884 | − | 0.0212468i | −0.175723 | − | 0.984440i | \(-0.556226\pi\) |
0.268811 | + | 0.963193i | \(0.413369\pi\) | |||||||
\(468\) | −3.27532 | + | 14.3501i | −0.151402 | + | 0.663335i | ||||
\(469\) | 0.516926 | + | 0.648205i | 0.0238694 | + | 0.0299313i | ||||
\(470\) | −1.23759 | + | 1.55188i | −0.0570856 | + | 0.0715831i | ||||
\(471\) | −5.06100 | − | 22.1737i | −0.233199 | − | 1.02171i | ||||
\(472\) | 9.17232 | + | 19.0465i | 0.422190 | + | 0.876687i | ||||
\(473\) | −15.1555 | + | 7.29850i | −0.696850 | + | 0.335585i | ||||
\(474\) | 2.52390 | + | 0.576064i | 0.115927 | + | 0.0264595i | ||||
\(475\) | −4.62337 | + | 9.60052i | −0.212135 | + | 0.440502i | ||||
\(476\) | − | 2.89008i | − | 0.132467i | ||||||
\(477\) | 6.10872 | + | 2.94180i | 0.279699 | + | 0.134696i | ||||
\(478\) | −8.89516 | − | 7.09365i | −0.406855 | − | 0.324456i | ||||
\(479\) | −3.04056 | − | 2.42476i | −0.138927 | − | 0.110790i | 0.551561 | − | 0.834135i | \(-0.314032\pi\) |
−0.690487 | + | 0.723344i | \(0.742604\pi\) | |||||||
\(480\) | −3.61745 | − | 1.74207i | −0.165113 | − | 0.0795143i | ||||
\(481\) | − | 27.9191i | − | 1.27300i | ||||||
\(482\) | −1.87907 | + | 3.90193i | −0.0855893 | + | 0.177728i | ||||
\(483\) | −0.996152 | − | 0.227365i | −0.0453265 | − | 0.0103455i | ||||
\(484\) | 21.7446 | − | 10.4716i | 0.988390 | − | 0.475984i | ||||
\(485\) | −0.0542276 | − | 0.112605i | −0.00246235 | − | 0.00511311i | ||||
\(486\) | 1.32855 | + | 5.82077i | 0.0602644 | + | 0.264035i | ||||
\(487\) | 6.13856 | − | 7.69750i | 0.278164 | − | 0.348807i | −0.623049 | − | 0.782183i | \(-0.714106\pi\) |
0.901213 | + | 0.433376i | \(0.142678\pi\) | |||||||
\(488\) | −1.73341 | − | 2.17362i | −0.0784676 | − | 0.0983953i | ||||
\(489\) | 3.50753 | − | 15.3675i | 0.158616 | − | 0.694943i | ||||
\(490\) | 2.06355 | − | 0.470992i | 0.0932218 | − | 0.0212773i | ||||
\(491\) | −6.09139 | + | 4.85772i | −0.274901 | + | 0.219226i | −0.751229 | − | 0.660041i | \(-0.770539\pi\) |
0.476329 | + | 0.879267i | \(0.341967\pi\) | |||||||
\(492\) | −6.98792 | −0.315040 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −5.92931 | −0.266772 | ||||||||
\(495\) | −3.86147 | + | 3.07942i | −0.173560 | + | 0.138409i | ||||
\(496\) | 18.5997 | − | 4.24525i | 0.835149 | − | 0.190617i | ||||
\(497\) | −0.582532 | + | 2.55224i | −0.0261301 | + | 0.114484i | ||||
\(498\) | −1.54138 | − | 1.93284i | −0.0690711 | − | 0.0866124i | ||||
\(499\) | 12.8222 | − | 16.0786i | 0.574001 | − | 0.719775i | −0.407075 | − | 0.913395i | \(-0.633451\pi\) |
0.981077 | + | 0.193620i | \(0.0620228\pi\) | |||||||
\(500\) | −2.64191 | − | 11.5750i | −0.118150 | − | 0.517648i | ||||
\(501\) | −0.430975 | − | 0.894928i | −0.0192545 | − | 0.0399824i | ||||
\(502\) | 3.91358 | − | 1.88468i | 0.174672 | − | 0.0841175i | ||||
\(503\) | −8.02843 | − | 1.83244i | −0.357970 | − | 0.0817043i | 0.0397538 | − | 0.999210i | \(-0.487343\pi\) |
−0.397724 | + | 0.917505i | \(0.630200\pi\) | |||||||
\(504\) | 0.378618 | − | 0.786208i | 0.0168650 | − | 0.0350205i | ||||
\(505\) | 2.23490i | 0.0994517i | ||||||||
\(506\) | −4.54676 | − | 2.18960i | −0.202128 | − | 0.0973398i | ||||
\(507\) | 18.4788 | + | 14.7364i | 0.820674 | + | 0.654466i | ||||
\(508\) | 1.46071 | + | 1.16487i | 0.0648084 | + | 0.0516829i | ||||
\(509\) | −7.13222 | − | 3.43470i | −0.316130 | − | 0.152240i | 0.269089 | − | 0.963115i | \(-0.413277\pi\) |
−0.585219 | + | 0.810875i | \(0.698992\pi\) | |||||||
\(510\) | − | 1.72587i | − | 0.0764230i | ||||||
\(511\) | 0.871139 | − | 1.80894i | 0.0385369 | − | 0.0800227i | ||||
\(512\) | −22.3374 | − | 5.09837i | −0.987183 | − | 0.225318i | ||||
\(513\) | 11.7702 | − | 5.66825i | 0.519669 | − | 0.250259i | ||||
\(514\) | −3.15846 | − | 6.55861i | −0.139314 | − | 0.289288i | ||||
\(515\) | −2.10238 | − | 9.21114i | −0.0926421 | − | 0.405892i | ||||
\(516\) | −4.77144 | + | 5.98319i | −0.210051 | + | 0.263395i | ||||
\(517\) | −19.8470 | − | 24.8873i | −0.872869 | − | 1.09454i | ||||
\(518\) | −0.174563 | + | 0.764811i | −0.00766986 | + | 0.0336039i | ||||
\(519\) | 11.1280 | − | 2.53989i | 0.488465 | − | 0.111489i | ||||
\(520\) | 5.17490 | − | 4.12684i | 0.226934 | − | 0.180974i | ||||
\(521\) | 3.52542 | 0.154451 | 0.0772257 | − | 0.997014i | \(-0.475394\pi\) | ||||
0.0772257 | + | 0.997014i | \(0.475394\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10.0301 | 0.438587 | 0.219294 | − | 0.975659i | \(-0.429625\pi\) | ||||
0.219294 | + | 0.975659i | \(0.429625\pi\) | |||||||
\(524\) | −11.3012 | + | 9.01238i | −0.493694 | + | 0.393708i | ||||
\(525\) | −1.96163 | + | 0.447730i | −0.0856127 | + | 0.0195406i | ||||
\(526\) | −2.34936 | + | 10.2932i | −0.102437 | + | 0.448806i | ||||
\(527\) | 18.7506 | + | 23.5125i | 0.816790 | + | 1.02422i | ||||
\(528\) | 10.9472 | − | 13.7274i | 0.476416 | − | 0.597406i | ||||
\(529\) | 3.94504 | + | 17.2844i | 0.171524 | + | 0.751494i | ||||
\(530\) | −0.626980 | − | 1.30194i | −0.0272343 | − | 0.0565526i | ||||
\(531\) | 16.2664 | − | 7.83346i | 0.705900 | − | 0.339943i | ||||
\(532\) | −1.47773 | − | 0.337282i | −0.0640676 | − | 0.0146230i | ||||
\(533\) | 7.62755 | − | 15.8388i | 0.330386 | − | 0.686053i | ||||
\(534\) | − | 3.15213i | − | 0.136406i | ||||||
\(535\) | 10.1283 | + | 4.87755i | 0.437886 | + | 0.210875i | ||||
\(536\) | 3.07310 | + | 2.45071i | 0.132738 | + | 0.105855i | ||||
\(537\) | −3.32042 | − | 2.64795i | −0.143287 | − | 0.114267i | ||||
\(538\) | 10.1664 | + | 4.89586i | 0.438303 | + | 0.211076i | ||||
\(539\) | 33.9439i | 1.46207i | ||||||||
\(540\) | −2.99894 | + | 6.22737i | −0.129054 | + | 0.267983i | ||||
\(541\) | 8.01795 | + | 1.83004i | 0.344719 | + | 0.0786797i | 0.391375 | − | 0.920231i | \(-0.372000\pi\) |
−0.0466566 | + | 0.998911i | \(0.514857\pi\) | |||||||
\(542\) | −0.482542 | + | 0.232380i | −0.0207269 | + | 0.00998157i | ||||
\(543\) | −6.85750 | − | 14.2397i | −0.294283 | − | 0.611086i | ||||
\(544\) | −4.65279 | − | 20.3852i | −0.199487 | − | 0.874009i | ||||
\(545\) | 2.35876 | − | 2.95779i | 0.101038 | − | 0.126698i | ||||
\(546\) | −0.698062 | − | 0.875342i | −0.0298743 | − | 0.0374612i | ||||
\(547\) | −5.75504 | + | 25.2145i | −0.246068 | + | 1.07809i | 0.689316 | + | 0.724461i | \(0.257911\pi\) |
−0.935384 | + | 0.353633i | \(0.884946\pi\) | |||||||
\(548\) | −30.2734 | + | 6.90970i | −1.29321 | + | 0.295168i | ||||
\(549\) | −1.85634 | + | 1.48039i | −0.0792269 | + | 0.0631813i | ||||
\(550\) | −9.93767 | −0.423744 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −4.84415 | −0.206181 | ||||||||
\(553\) | −1.30165 | + | 1.03803i | −0.0553518 | + | 0.0441416i | ||||
\(554\) | 4.62732 | − | 1.05615i | 0.196596 | − | 0.0448717i | ||||
\(555\) | 0.948394 | − | 4.15519i | 0.0402571 | − | 0.176378i | ||||
\(556\) | −18.7262 | − | 23.4819i | −0.794166 | − | 0.995853i | ||||
\(557\) | −14.3463 | + | 17.9897i | −0.607873 | + | 0.762248i | −0.986582 | − | 0.163268i | \(-0.947797\pi\) |
0.378709 | + | 0.925516i | \(0.376368\pi\) | |||||||
\(558\) | 0.957656 | + | 4.19576i | 0.0405408 | + | 0.177621i | ||||
\(559\) | −8.35328 | − | 17.3458i | −0.353306 | − | 0.733648i | ||||
\(560\) | 0.634375 | − | 0.305499i | 0.0268072 | − | 0.0129097i | ||||
\(561\) | 26.9836 | + | 6.15883i | 1.13925 | + | 0.260026i | ||||
\(562\) | −3.14351 | + | 6.52757i | −0.132601 | + | 0.275349i | ||||
\(563\) | 43.1159i | 1.81712i | 0.417757 | + | 0.908559i | \(0.362816\pi\) | ||||
−0.417757 | + | 0.908559i | \(0.637184\pi\) | |||||||
\(564\) | −13.0477 | − | 6.28345i | −0.549408 | − | 0.264581i | ||||
\(565\) | 5.77541 | + | 4.60574i | 0.242973 | + | 0.193765i | ||||
\(566\) | 1.82567 | + | 1.45593i | 0.0767388 | + | 0.0611972i | ||||
\(567\) | 0.828552 | + | 0.399010i | 0.0347959 | + | 0.0167568i | ||||
\(568\) | 12.4112i | 0.520762i | ||||||||
\(569\) | −10.5487 | + | 21.9046i | −0.442225 | + | 0.918289i | 0.554085 | + | 0.832460i | \(0.313068\pi\) |
−0.996310 | + | 0.0858292i | \(0.972646\pi\) | |||||||
\(570\) | −0.882455 | − | 0.201415i | −0.0369620 | − | 0.00843633i | ||||
\(571\) | −16.6576 | + | 8.02190i | −0.697100 | + | 0.335706i | −0.748651 | − | 0.662965i | \(-0.769298\pi\) |
0.0515504 | + | 0.998670i | \(0.483584\pi\) | |||||||
\(572\) | 21.8281 | + | 45.3265i | 0.912677 | + | 1.89519i | ||||
\(573\) | 2.96077 | + | 12.9720i | 0.123688 | + | 0.541913i | ||||
\(574\) | −0.307979 | + | 0.386193i | −0.0128548 | + | 0.0161194i | ||||
\(575\) | −6.47182 | − | 8.11541i | −0.269894 | − | 0.338436i | ||||
\(576\) | −1.16756 | + | 5.11543i | −0.0486485 | + | 0.213143i | ||||
\(577\) | −36.9090 | + | 8.42423i | −1.53654 | + | 0.350705i | −0.905263 | − | 0.424852i | \(-0.860326\pi\) |
−0.631277 | + | 0.775557i | \(0.717469\pi\) | |||||||
\(578\) | 1.11193 | − | 0.886731i | 0.0462500 | − | 0.0368832i | ||||
\(579\) | 28.3424 | 1.17787 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.58987 | 0.0659591 | ||||||||
\(582\) | −0.0783611 | + | 0.0624909i | −0.00324817 | + | 0.00259033i | ||||
\(583\) | 22.5929 | − | 5.15668i | 0.935702 | − | 0.213568i | ||||
\(584\) | 2.11811 | − | 9.28006i | 0.0876481 | − | 0.384012i | ||||
\(585\) | −3.52446 | − | 4.41953i | −0.145718 | − | 0.182725i | ||||
\(586\) | 1.87681 | − | 2.35344i | 0.0775301 | − | 0.0972197i | ||||
\(587\) | 3.21217 | + | 14.0734i | 0.132580 | + | 0.580873i | 0.996952 | + | 0.0780188i | \(0.0248594\pi\) |
−0.864372 | + | 0.502854i | \(0.832283\pi\) | |||||||
\(588\) | 6.70031 | + | 13.9133i | 0.276316 | + | 0.573777i | ||||
\(589\) | 14.2104 | − | 6.84339i | 0.585531 | − | 0.281977i | ||||
\(590\) | −3.75140 | − | 0.856232i | −0.154443 | − | 0.0352505i | ||||
\(591\) | −10.5817 | + | 21.9731i | −0.435273 | + | 0.903855i | ||||
\(592\) | − | 14.0804i | − | 0.578700i | ||||||
\(593\) | −11.7143 | − | 5.64132i | −0.481050 | − | 0.231661i | 0.177612 | − | 0.984101i | \(-0.443163\pi\) |
−0.658662 | + | 0.752439i | \(0.728877\pi\) | |||||||
\(594\) | 9.52551 | + | 7.59634i | 0.390837 | + | 0.311682i | ||||
\(595\) | 0.867767 | + | 0.692021i | 0.0355750 | + | 0.0283701i | ||||
\(596\) | 30.2080 | + | 14.5474i | 1.23737 | + | 0.595886i | ||||
\(597\) | − | 1.09113i | − | 0.0446570i | ||||||
\(598\) | 2.50605 | − | 5.20387i | 0.102480 | − | 0.212802i | ||||
\(599\) | 11.7903 | + | 2.69106i | 0.481739 | + | 0.109954i | 0.456492 | − | 0.889727i | \(-0.349106\pi\) |
0.0252470 | + | 0.999681i | \(0.491963\pi\) | |||||||
\(600\) | −8.59448 | + | 4.13888i | −0.350868 | + | 0.168969i | ||||
\(601\) | −9.69609 | − | 20.1341i | −0.395512 | − | 0.821289i | −0.999701 | − | 0.0244478i | \(-0.992217\pi\) |
0.604189 | − | 0.796841i | \(-0.293497\pi\) | |||||||
\(602\) | 0.120374 | + | 0.527395i | 0.00490609 | + | 0.0214950i | ||||
\(603\) | 2.09299 | − | 2.62453i | 0.0852332 | − | 0.106879i | ||||
\(604\) | 8.45742 | + | 10.6053i | 0.344127 | + | 0.431522i | ||||
\(605\) | −2.06249 | + | 9.03636i | −0.0838522 | + | 0.367380i | ||||
\(606\) | 1.74731 | − | 0.398813i | 0.0709798 | − | 0.0162007i | ||||
\(607\) | −32.4216 | + | 25.8553i | −1.31595 | + | 1.04944i | −0.321210 | + | 0.947008i | \(0.604090\pi\) |
−0.994740 | + | 0.102428i | \(0.967339\pi\) | |||||||
\(608\) | −10.9661 | −0.444736 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.506041 | 0.0204890 | ||||||||
\(611\) | 28.4841 | − | 22.7153i | 1.15234 | − | 0.918962i | ||||
\(612\) | −11.4083 | + | 2.60388i | −0.461154 | + | 0.105255i | ||||
\(613\) | 5.73759 | − | 25.1380i | 0.231739 | − | 1.01531i | −0.716458 | − | 0.697631i | \(-0.754238\pi\) |
0.948197 | − | 0.317684i | \(-0.102905\pi\) | |||||||
\(614\) | 1.25368 | + | 1.57207i | 0.0505946 | + | 0.0634436i | ||||
\(615\) | 1.67324 | − | 2.09817i | 0.0674714 | − | 0.0846064i | ||||
\(616\) | −0.663678 | − | 2.90776i | −0.0267403 | − | 0.117157i | ||||
\(617\) | −3.84652 | − | 7.98739i | −0.154855 | − | 0.321560i | 0.809079 | − | 0.587699i | \(-0.199966\pi\) |
−0.963935 | + | 0.266139i | \(0.914252\pi\) | |||||||
\(618\) | −6.82640 | + | 3.28742i | −0.274598 | + | 0.132239i | ||||
\(619\) | −28.7129 | − | 6.55352i | −1.15407 | − | 0.263408i | −0.397675 | − | 0.917526i | \(-0.630183\pi\) |
−0.756393 | + | 0.654118i | \(0.773040\pi\) | |||||||
\(620\) | −3.62068 | + | 7.51842i | −0.145410 | + | 0.301947i | ||||
\(621\) | 12.7259i | 0.510672i | ||||||||
\(622\) | 5.05884 | + | 2.43621i | 0.202841 | + | 0.0976831i | ||||
\(623\) | 1.58489 | + | 1.26391i | 0.0634972 | + | 0.0506373i | ||||
\(624\) | 15.7112 | + | 12.5293i | 0.628953 | + | 0.501574i | ||||
\(625\) | −16.2588 | − | 7.82984i | −0.650353 | − | 0.313193i | ||||
\(626\) | 8.56273i | 0.342235i | ||||||||
\(627\) | 6.29814 | − | 13.0782i | 0.251523 | − | 0.522294i | ||||
\(628\) | 32.0419 | + | 7.31336i | 1.27861 | + | 0.291835i | ||||
\(629\) | 19.9976 | − | 9.63034i | 0.797357 | − | 0.383987i | ||||
\(630\) | 0.0689153 | + | 0.143104i | 0.00274565 | + | 0.00570141i | ||||
\(631\) | 5.28956 | + | 23.1751i | 0.210574 | + | 0.922585i | 0.964178 | + | 0.265256i | \(0.0854566\pi\) |
−0.753604 | + | 0.657329i | \(0.771686\pi\) | |||||||
\(632\) | −4.92125 | + | 6.17105i | −0.195757 | + | 0.245471i | ||||
\(633\) | 14.2036 | + | 17.8107i | 0.564541 | + | 0.707912i | ||||
\(634\) | 0.284052 | − | 1.24451i | 0.0112812 | − | 0.0494260i | ||||
\(635\) | −0.699523 | + | 0.159662i | −0.0277597 | + | 0.00633598i | ||||
\(636\) | 8.24275 | − | 6.57338i | 0.326846 | − | 0.260651i | ||||
\(637\) | −38.8495 | −1.53927 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 10.5996 | 0.419312 | ||||||||
\(640\) | 5.90904 | − | 4.71230i | 0.233575 | − | 0.186270i | ||||
\(641\) | −27.7518 | + | 6.33417i | −1.09613 | + | 0.250185i | −0.732096 | − | 0.681201i | \(-0.761458\pi\) |
−0.364034 | + | 0.931386i | \(0.618601\pi\) | |||||||
\(642\) | 2.00604 | − | 8.78904i | 0.0791721 | − | 0.346876i | ||||
\(643\) | 12.0625 | + | 15.1259i | 0.475698 | + | 0.596507i | 0.960556 | − | 0.278086i | \(-0.0897001\pi\) |
−0.484858 | + | 0.874593i | \(0.661129\pi\) | |||||||
\(644\) | 0.920583 | − | 1.15437i | 0.0362761 | − | 0.0454887i | ||||
\(645\) | −0.653989 | − | 2.86531i | −0.0257508 | − | 0.112822i | ||||
\(646\) | −2.04524 | − | 4.24698i | −0.0804688 | − | 0.167095i | ||||
\(647\) | 20.4650 | − | 9.85540i | 0.804560 | − | 0.387456i | 0.0140475 | − | 0.999901i | \(-0.495528\pi\) |
0.790513 | + | 0.612446i | \(0.209814\pi\) | |||||||
\(648\) | 4.25057 | + | 0.970165i | 0.166978 | + | 0.0381117i | ||||
\(649\) | 26.7740 | − | 55.5967i | 1.05097 | − | 2.18236i | ||||
\(650\) | − | 11.3739i | − | 0.446120i | ||||||
\(651\) | 2.68329 | + | 1.29221i | 0.105167 | + | 0.0506455i | ||||
\(652\) | 17.8084 | + | 14.2017i | 0.697430 | + | 0.556182i | ||||
\(653\) | 17.9284 | + | 14.2974i | 0.701591 | + | 0.559500i | 0.908002 | − | 0.418965i | \(-0.137607\pi\) |
−0.206411 | + | 0.978465i | \(0.566179\pi\) | |||||||
\(654\) | −2.73341 | − | 1.31634i | −0.106885 | − | 0.0514729i | ||||
\(655\) | − | 5.55124i | − | 0.216905i | ||||||
\(656\) | 3.84678 | − | 7.98792i | 0.150191 | − | 0.311876i | ||||
\(657\) | −7.92548 | − | 1.80894i | −0.309202 | − | 0.0705734i | ||||
\(658\) | −0.922312 | + | 0.444162i | −0.0359555 | + | 0.0173152i | ||||
\(659\) | −8.32111 | − | 17.2790i | −0.324145 | − | 0.673093i | 0.673680 | − | 0.739023i | \(-0.264713\pi\) |
−0.997824 | + | 0.0659303i | \(0.978998\pi\) | |||||||
\(660\) | 1.70895 | + | 7.48739i | 0.0665207 | + | 0.291446i | ||||
\(661\) | −2.11141 | + | 2.64762i | −0.0821243 | + | 0.102981i | −0.821196 | − | 0.570646i | \(-0.806693\pi\) |
0.739072 | + | 0.673626i | \(0.235264\pi\) | |||||||
\(662\) | −0.869641 | − | 1.09050i | −0.0337996 | − | 0.0423833i | ||||
\(663\) | −7.04892 | + | 30.8833i | −0.273757 | + | 1.19941i | ||||
\(664\) | 7.34852 | − | 1.67725i | 0.285178 | − | 0.0650900i | ||||
\(665\) | 0.455108 | − | 0.362937i | 0.0176483 | − | 0.0140741i | ||||
\(666\) | 3.17629 | 0.123079 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 1.43535 | 0.0555355 | ||||||||
\(669\) | 1.77274 | − | 1.41371i | 0.0685382 | − | 0.0546574i | ||||
\(670\) | −0.697510 | + | 0.159202i | −0.0269472 | + | 0.00615051i | ||||
\(671\) | −1.80582 | + | 7.91183i | −0.0697130 | + | 0.305433i | ||||
\(672\) | −1.29105 | − | 1.61893i | −0.0498034 | − | 0.0624515i | ||||
\(673\) | −2.97434 | + | 3.72971i | −0.114653 | + | 0.143770i | −0.835846 | − | 0.548964i | \(-0.815022\pi\) |
0.721193 | + | 0.692734i | \(0.243594\pi\) | |||||||
\(674\) | 0.493427 | + | 2.16184i | 0.0190061 | + | 0.0832711i | ||||
\(675\) | 10.8731 | + | 22.5782i | 0.418506 | + | 0.869036i | ||||
\(676\) | −30.7717 | + | 14.8189i | −1.18353 | + | 0.569957i | ||||
\(677\) | 42.0097 | + | 9.58844i | 1.61456 | + | 0.368514i | 0.932042 | − | 0.362351i | \(-0.118026\pi\) |
0.682522 | + | 0.730865i | \(0.260883\pi\) | |||||||
\(678\) | 2.57030 | − | 5.33728i | 0.0987118 | − | 0.204977i | ||||
\(679\) | − | 0.0644568i | − | 0.00247362i | ||||||
\(680\) | 4.74094 | + | 2.28312i | 0.181807 | + | 0.0875535i | ||||
\(681\) | −13.5088 | − | 10.7729i | −0.517659 | − | 0.412820i | ||||
\(682\) | 11.5003 | + | 9.17121i | 0.440371 | + | 0.351184i | ||||
\(683\) | −21.1124 | − | 10.1672i | −0.807842 | − | 0.389036i | −0.0160838 | − | 0.999871i | \(-0.505120\pi\) |
−0.791758 | + | 0.610834i | \(0.790834\pi\) | |||||||
\(684\) | 6.13706i | 0.234656i | ||||||||
\(685\) | 5.17418 | − | 10.7443i | 0.197695 | − | 0.410518i | ||||
\(686\) | 2.14819 | + | 0.490311i | 0.0820184 | + | 0.0187202i | ||||
\(687\) | −14.3497 | + | 6.91043i | −0.547474 | + | 0.263649i | ||||
\(688\) | −4.21279 | − | 8.74794i | −0.160611 | − | 0.333512i | ||||
\(689\) | 5.90193 | + | 25.8580i | 0.224846 | + | 0.985113i | ||||
\(690\) | 0.549745 | − | 0.689359i | 0.0209284 | − | 0.0262434i | ||||
\(691\) | 26.8959 | + | 33.7264i | 1.02317 | + | 1.28301i | 0.958496 | + | 0.285105i | \(0.0920285\pi\) |
0.0646716 | + | 0.997907i | \(0.479400\pi\) | |||||||
\(692\) | −3.67025 | + | 16.0804i | −0.139522 | + | 0.611286i | ||||
\(693\) | −2.48333 | + | 0.566803i | −0.0943337 | + | 0.0215311i | ||||
\(694\) | 6.99974 | − | 5.58211i | 0.265706 | − | 0.211894i | ||||
\(695\) | 11.5345 | 0.437529 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 13.9758 | 0.529373 | ||||||||
\(698\) | −7.12916 | + | 5.68532i | −0.269843 | + | 0.215192i | ||||
\(699\) | −10.7784 | + | 2.46011i | −0.407678 | + | 0.0930498i | ||||
\(700\) | 0.646989 | − | 2.83464i | 0.0244539 | − | 0.107139i | ||||
\(701\) | −2.63789 | − | 3.30781i | −0.0996318 | − | 0.124934i | 0.729516 | − | 0.683964i | \(-0.239745\pi\) |
−0.829148 | + | 0.559029i | \(0.811174\pi\) | |||||||
\(702\) | −8.69418 | + | 10.9022i | −0.328141 | + | 0.411475i | ||||
\(703\) | −2.59030 | − | 11.3489i | −0.0976951 | − | 0.428030i | ||||
\(704\) | 7.78111 | + | 16.1576i | 0.293262 | + | 0.608964i | ||||
\(705\) | 5.01089 | − | 2.41312i | 0.188721 | − | 0.0908832i | ||||
\(706\) | 7.80887 | + | 1.78232i | 0.293891 | + | 0.0670786i | ||||
\(707\) | −0.500096 | + | 1.03846i | −0.0188080 | + | 0.0390553i | ||||
\(708\) | − | 28.0737i | − | 1.05507i | ||||||
\(709\) | 12.8872 | + | 6.20613i | 0.483987 | + | 0.233076i | 0.659934 | − | 0.751324i | \(-0.270584\pi\) |
−0.175946 | + | 0.984400i | \(0.556299\pi\) | |||||||
\(710\) | −1.76621 | − | 1.40850i | −0.0662845 | − | 0.0528601i | ||||
\(711\) | 5.27028 | + | 4.20291i | 0.197651 | + | 0.157621i | ||||
\(712\) | 8.65883 | + | 4.16987i | 0.324504 | + | 0.156273i | ||||
\(713\) | 15.3642i | 0.575393i | ||||||||
\(714\) | 0.386193 | − | 0.801938i | 0.0144529 | − | 0.0300118i | ||||
\(715\) | −18.8362 | − | 4.29925i | −0.704436 | − | 0.160783i | ||||
\(716\) | 5.52930 | − | 2.66277i | 0.206640 | − | 0.0995125i | ||||
\(717\) | 13.8316 | + | 28.7216i | 0.516551 | + | 1.07263i | ||||
\(718\) | −2.33997 | − | 10.2521i | −0.0873269 | − | 0.382604i | ||||
\(719\) | −14.6151 | + | 18.3267i | −0.545050 | + | 0.683471i | −0.975716 | − | 0.219041i | \(-0.929707\pi\) |
0.430666 | + | 0.902511i | \(0.358279\pi\) | |||||||
\(720\) | −1.77748 | − | 2.22889i | −0.0662427 | − | 0.0830658i | ||||
\(721\) | 1.08426 | − | 4.75046i | 0.0403800 | − | 0.176916i | ||||
\(722\) | 5.83359 | − | 1.33148i | 0.217104 | − | 0.0495525i | ||||
\(723\) | 9.48727 | − | 7.56584i | 0.352835 | − | 0.281377i | ||||
\(724\) | 22.8388 | 0.848796 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 7.43296 | 0.275863 | ||||||||
\(727\) | 40.6534 | − | 32.4200i | 1.50775 | − | 1.20239i | 0.588636 | − | 0.808398i | \(-0.299665\pi\) |
0.919114 | − | 0.393992i | \(-0.128906\pi\) | |||||||
\(728\) | 3.32800 | − | 0.759594i | 0.123344 | − | 0.0281524i | ||||
\(729\) | 5.44265 | − | 23.8458i | 0.201580 | − | 0.883178i | ||||
\(730\) | 1.08024 | + | 1.35458i | 0.0399817 | + | 0.0501354i | ||||
\(731\) | 9.54288 | − | 11.9664i | 0.352956 | − | 0.442593i | ||||
\(732\) | 0.821552 | + | 3.59945i | 0.0303654 | + | 0.133040i | ||||
\(733\) | −14.8346 | − | 30.8044i | −0.547929 | − | 1.13779i | −0.972610 | − | 0.232443i | \(-0.925328\pi\) |
0.424681 | − | 0.905343i | \(-0.360386\pi\) | |||||||
\(734\) | 11.8860 | − | 5.72398i | 0.438719 | − | 0.211276i | ||||
\(735\) | −5.78195 | − | 1.31969i | −0.213270 | − | 0.0486776i | ||||
\(736\) | 4.63489 | − | 9.62445i | 0.170844 | − | 0.354762i | ||||
\(737\) | − | 11.4735i | − | 0.422632i | ||||||
\(738\) | 1.80194 | + | 0.867767i | 0.0663302 | + | 0.0319430i | ||||
\(739\) | −31.0958 | − | 24.7981i | −1.14388 | − | 0.912211i | −0.146842 | − | 0.989160i | \(-0.546911\pi\) |
−0.997035 | + | 0.0769489i | \(0.975482\pi\) | |||||||
\(740\) | 4.81517 | + | 3.83997i | 0.177009 | + | 0.141160i | ||||
\(741\) | 14.9683 | + | 7.20836i | 0.549874 | + | 0.264806i | ||||
\(742\) | − | 0.745251i | − | 0.0273590i | ||||||
\(743\) | 3.11451 | − | 6.46734i | 0.114260 | − | 0.237264i | −0.835994 | − | 0.548738i | \(-0.815108\pi\) |
0.950255 | + | 0.311474i | \(0.100823\pi\) | |||||||
\(744\) | 13.7656 | + | 3.14191i | 0.504671 | + | 0.115188i | ||||
\(745\) | −11.6012 | + | 5.58684i | −0.425035 | + | 0.204686i | ||||
\(746\) | 4.86369 | + | 10.0996i | 0.178072 | + | 0.369771i | ||||
\(747\) | −1.43243 | − | 6.27588i | −0.0524098 | − | 0.229622i | ||||
\(748\) | −24.9366 | + | 31.2695i | −0.911773 | + | 1.14333i | ||||
\(749\) | 3.61476 | + | 4.53277i | 0.132080 | + | 0.165624i | ||||
\(750\) | 0.813651 | − | 3.56484i | 0.0297103 | − | 0.130169i | ||||
\(751\) | −26.4874 | + | 6.04556i | −0.966537 | + | 0.220606i | −0.676527 | − | 0.736418i | \(-0.736516\pi\) |
−0.290010 | + | 0.957024i | \(0.593659\pi\) | |||||||
\(752\) | 14.3653 | − | 11.4559i | 0.523848 | − | 0.417755i | ||||
\(753\) | −12.1709 | −0.443533 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −5.20941 | −0.189590 | ||||||||
\(756\) | −2.78695 | + | 2.22252i | −0.101361 | + | 0.0808323i | ||||
\(757\) | −23.0986 | + | 5.27210i | −0.839533 | + | 0.191618i | −0.620605 | − | 0.784123i | \(-0.713113\pi\) |
−0.218927 | + | 0.975741i | \(0.570256\pi\) | |||||||
\(758\) | 2.66464 | − | 11.6745i | 0.0967840 | − | 0.424038i | ||||
\(759\) | 8.81618 | + | 11.0551i | 0.320007 | + | 0.401276i | ||||
\(760\) | 1.72066 | − | 2.15764i | 0.0624149 | − | 0.0782658i | ||||
\(761\) | 3.17187 | + | 13.8969i | 0.114980 | + | 0.503762i | 0.999318 | + | 0.0369148i | \(0.0117530\pi\) |
−0.884338 | + | 0.466847i | \(0.845390\pi\) | |||||||
\(762\) | 0.249657 | + | 0.518418i | 0.00904411 | + | 0.0187803i | ||||
\(763\) | 1.75786 | − | 0.846543i | 0.0636390 | − | 0.0306469i | ||||
\(764\) | −18.7451 | − | 4.27844i | −0.678173 | − | 0.154788i | ||||
\(765\) | 1.94986 | − | 4.04892i | 0.0704972 | − | 0.146389i | ||||
\(766\) | 8.75361i | 0.316281i | ||||||||
\(767\) | 63.6316 | + | 30.6434i | 2.29760 | + | 1.10647i | ||||
\(768\) | 2.34129 | + | 1.86712i | 0.0844841 | + | 0.0673738i | ||||
\(769\) | −34.9530 | − | 27.8741i | −1.26044 | − | 1.00517i | −0.999204 | − | 0.0398911i | \(-0.987299\pi\) |
−0.261235 | − | 0.965275i | \(-0.584130\pi\) | |||||||
\(770\) | 0.489115 | + | 0.235545i | 0.0176265 | + | 0.00848846i | ||||
\(771\) | 20.3967i | 0.734570i | ||||||||
\(772\) | −17.7701 | + | 36.9001i | −0.639561 | + | 1.32806i | ||||
\(773\) | 22.3733 | + | 5.10656i | 0.804712 | + | 0.183670i | 0.605043 | − | 0.796193i | \(-0.293156\pi\) |
0.199670 | + | 0.979863i | \(0.436013\pi\) | |||||||
\(774\) | 1.97339 | − | 0.950332i | 0.0709319 | − | 0.0341590i | ||||
\(775\) | 13.1273 | + | 27.2591i | 0.471547 | + | 0.979176i | ||||
\(776\) | −0.0679992 | − | 0.297924i | −0.00244103 | − | 0.0106948i | ||||
\(777\) | 1.37047 | − | 1.71851i | 0.0491653 | − | 0.0616514i | ||||
\(778\) | −6.89679 | − | 8.64830i | −0.247262 | − | 0.310057i | ||||
\(779\) | 1.63102 | − | 7.14598i | 0.0584374 | − | 0.256031i | ||||
\(780\) | −8.56948 | + | 1.95593i | −0.306836 | + | 0.0700334i | ||||
\(781\) | 28.3243 | − | 22.5879i | 1.01352 | − | 0.808259i | ||||
\(782\) | 4.59179 | 0.164202 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −19.5929 | −0.699745 | ||||||||
\(785\) | −9.86822 | + | 7.86964i | −0.352212 | + | 0.280880i | ||||
\(786\) | −4.34013 | + | 0.990607i | −0.154807 | + | 0.0353338i | ||||
\(787\) | 3.18933 | − | 13.9734i | 0.113687 | − | 0.498097i | −0.885737 | − | 0.464187i | \(-0.846347\pi\) |
0.999425 | − | 0.0339106i | \(-0.0107962\pi\) | |||||||
\(788\) | −21.9731 | − | 27.5535i | −0.782761 | − | 0.981551i | ||||
\(789\) | 18.4445 | − | 23.1287i | 0.656642 | − | 0.823403i | ||||
\(790\) | −0.319692 | − | 1.40066i | −0.0113741 | − | 0.0498333i | ||||
\(791\) | 1.65297 | + | 3.43243i | 0.0587729 | + | 0.122043i | ||||
\(792\) | −10.8802 | + | 5.23961i | −0.386610 | + | 0.186181i | ||||
\(793\) | −9.05525 | − | 2.06680i | −0.321562 | − | 0.0733943i | ||||
\(794\) | −0.771347 | + | 1.60172i | −0.0273741 | + | 0.0568429i | ||||
\(795\) | 4.04892i | 0.143600i | ||||||||
\(796\) | 1.42058 | + | 0.684117i | 0.0503512 | + | 0.0242479i | ||||
\(797\) | −7.96942 | − | 6.35540i | −0.282291 | − | 0.225120i | 0.472100 | − | 0.881545i | \(-0.343496\pi\) |
−0.754391 | + | 0.656425i | \(0.772068\pi\) | |||||||
\(798\) | −0.364968 | − | 0.291053i | −0.0129197 | − | 0.0103032i | ||||
\(799\) | 26.0954 | + | 12.5669i | 0.923190 | + | 0.444585i | ||||
\(800\) | − | 21.0358i | − | 0.743727i | ||||||
\(801\) | 3.56121 | − | 7.39493i | 0.125829 | − | 0.261287i | ||||
\(802\) | 10.8068 | + | 2.46658i | 0.381600 | + | 0.0870978i | ||||
\(803\) | −25.0335 | + | 12.0555i | −0.883412 | + | 0.425429i | ||||
\(804\) | −2.26480 | − | 4.70291i | −0.0798734 | − | 0.165859i | ||||
\(805\) | 0.126178 | + | 0.552823i | 0.00444720 | + | 0.0194844i | ||||
\(806\) | −10.4966 | + | 13.1624i | −0.369729 | + | 0.463625i | ||||
\(807\) | −19.7126 | − | 24.7188i | −0.693916 | − | 0.870143i | ||||
\(808\) | −1.21595 | + | 5.32741i | −0.0427769 | + | 0.187418i | ||||
\(809\) | 8.74788 | − | 1.99665i | 0.307559 | − | 0.0701984i | −0.0659557 | − | 0.997823i | \(-0.521010\pi\) |
0.373515 | + | 0.927624i | \(0.378152\pi\) | |||||||
\(810\) | −0.620443 | + | 0.494787i | −0.0218002 | + | 0.0173850i | ||||
\(811\) | 28.5628 | 1.00298 | 0.501489 | − | 0.865164i | \(-0.332786\pi\) | ||||
0.501489 | + | 0.865164i | \(0.332786\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.50066 | 0.0526306 | ||||||||
\(814\) | 8.48774 | − | 6.76875i | 0.297495 | − | 0.237245i | ||||
\(815\) | −8.52832 | + | 1.94653i | −0.298734 | + | 0.0681841i | ||||
\(816\) | −3.55496 | + | 15.5753i | −0.124448 | + | 0.545244i | ||||
\(817\) | −5.00484 | − | 6.27588i | −0.175097 | − | 0.219565i | ||||
\(818\) | 0.0785888 | − | 0.0985473i | 0.00274779 | − | 0.00344562i | ||||
\(819\) | −0.648718 | − | 2.84222i | −0.0226680 | − | 0.0993152i | ||||
\(820\) | 1.68260 | + | 3.49396i | 0.0587590 | + | 0.122014i | ||||
\(821\) | 10.2126 | − | 4.91813i | 0.356422 | − | 0.171644i | −0.247100 | − | 0.968990i | \(-0.579478\pi\) |
0.603522 | + | 0.797346i | \(0.293763\pi\) | |||||||
\(822\) | −9.32355 | − | 2.12804i | −0.325196 | − | 0.0742239i | ||||
\(823\) | −2.46106 | + | 5.11045i | −0.0857872 | + | 0.178139i | −0.939449 | − | 0.342689i | \(-0.888662\pi\) |
0.853662 | + | 0.520828i | \(0.174377\pi\) | |||||||
\(824\) | − | 23.1008i | − | 0.804755i | ||||||
\(825\) | 25.0872 | + | 12.0814i | 0.873426 | + | 0.420620i | ||||
\(826\) | −1.55151 | − | 1.23729i | −0.0539841 | − | 0.0430509i | ||||
\(827\) | −2.26984 | − | 1.81013i | −0.0789300 | − | 0.0629445i | 0.583230 | − | 0.812307i | \(-0.301789\pi\) |
−0.662160 | + | 0.749363i | \(0.730360\pi\) | |||||||
\(828\) | −5.38620 | − | 2.59386i | −0.187183 | − | 0.0901428i | ||||
\(829\) | 45.2137i | 1.57034i | 0.619282 | + | 0.785169i | \(0.287424\pi\) | ||||
−0.619282 | + | 0.785169i | \(0.712576\pi\) | |||||||
\(830\) | −0.595272 | + | 1.23609i | −0.0206622 | + | 0.0429055i | ||||
\(831\) | −12.9655 | − | 2.95928i | −0.449766 | − | 0.102656i | ||||
\(832\) | −18.4928 | + | 8.90565i | −0.641121 | + | 0.308748i | ||||
\(833\) | −13.4006 | − | 27.8267i | −0.464304 | − | 0.964138i | ||||
\(834\) | −2.05831 | − | 9.01805i | −0.0712735 | − | 0.312269i | ||||
\(835\) | −0.343691 | + | 0.430975i | −0.0118939 | + | 0.0149145i | ||||
\(836\) | 13.0782 | + | 16.3996i | 0.452320 | + | 0.567191i | ||||
\(837\) | 8.25398 | − | 36.1630i | 0.285299 | − | 1.24998i | ||||
\(838\) | 11.4930 | − | 2.62319i | 0.397018 | − | 0.0906167i | ||||
\(839\) | 35.6716 | − | 28.4471i | 1.23152 | − | 0.982104i | 0.231562 | − | 0.972820i | \(-0.425616\pi\) |
0.999957 | − | 0.00928374i | \(-0.00295515\pi\) | |||||||
\(840\) | 0.521106 | 0.0179799 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | 7.82477 | 0.269659 | ||||||||
\(843\) | 15.8713 | − | 12.6570i | 0.546638 | − | 0.435929i | ||||
\(844\) | −32.0938 | + | 7.32520i | −1.10471 | + | 0.252144i | ||||
\(845\) | 2.91872 | − | 12.7878i | 0.100407 | − | 0.439912i | ||||
\(846\) | 2.58426 | + | 3.24056i | 0.0888487 | + | 0.111413i | ||||
\(847\) | −2.98039 | + | 3.73729i | −0.102407 | + | 0.128415i | ||||
\(848\) | 2.97650 | + | 13.0409i | 0.102213 | + | 0.447826i | ||||
\(849\) | −2.83885 | − | 5.89493i | −0.0974290 | − | 0.202313i | ||||
\(850\) | 8.14675 | − | 3.92327i | 0.279431 | − | 0.134567i | ||||
\(851\) | 11.0551 | + | 2.52326i | 0.378965 | + | 0.0864963i | ||||
\(852\) | 7.15122 | − | 14.8497i | 0.244997 | − | 0.508741i | ||||
\(853\) | − | 36.9288i | − | 1.26442i | −0.774797 | − | 0.632210i | \(-0.782148\pi\) | ||
0.774797 | − | 0.632210i | \(-0.217852\pi\) | |||||||
\(854\) | 0.235135 | + | 0.113235i | 0.00804615 | + | 0.00387482i | ||||
\(855\) | −1.84270 | − | 1.46950i | −0.0630189 | − | 0.0502559i | ||||
\(856\) | 21.4896 | + | 17.1374i | 0.734498 | + | 0.585743i | ||||
\(857\) | −32.0296 | − | 15.4246i | −1.09411 | − | 0.526896i | −0.202308 | − | 0.979322i | \(-0.564844\pi\) |
−0.891802 | + | 0.452426i | \(0.850559\pi\) | |||||||
\(858\) | 15.4940i | 0.528955i | ||||||||
\(859\) | 18.3885 | − | 38.1841i | 0.627408 | − | 1.30283i | −0.308716 | − | 0.951154i | \(-0.599899\pi\) |
0.936124 | − | 0.351671i | \(-0.114386\pi\) | |||||||
\(860\) | 4.14050 | + | 0.945042i | 0.141190 | + | 0.0322257i | ||||
\(861\) | 1.24698 | − | 0.600514i | 0.0424970 | − | 0.0204655i | ||||
\(862\) | 5.36716 | + | 11.1450i | 0.182806 | + | 0.379601i | ||||
\(863\) | 11.0770 | + | 48.5316i | 0.377066 | + | 1.65204i | 0.706393 | + | 0.707819i | \(0.250321\pi\) |
−0.329327 | + | 0.944216i | \(0.606822\pi\) | |||||||
\(864\) | −16.0797 | + | 20.1633i | −0.547043 | + | 0.685970i | ||||
\(865\) | −3.94943 | − | 4.95242i | −0.134285 | − | 0.168387i | ||||
\(866\) | 0.581868 | − | 2.54933i | 0.0197727 | − | 0.0866298i | ||||
\(867\) | −3.88502 | + | 0.886731i | −0.131942 | + | 0.0301150i | ||||
\(868\) | −3.36474 | + | 2.68329i | −0.114207 | + | 0.0910769i | ||||
\(869\) | 23.0398 | 0.781572 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 13.1317 | 0.444950 | ||||||||
\(872\) | 7.23191 | − | 5.76726i | 0.244903 | − | 0.195304i | ||||
\(873\) | −0.254437 | + | 0.0580735i | −0.00861138 | + | 0.00196549i | ||||
\(874\) | 0.535876 | − | 2.34783i | 0.0181263 | − | 0.0794164i | ||||
\(875\) | 1.46615 | + | 1.83849i | 0.0495649 | + | 0.0621524i | ||||
\(876\) | −7.88135 | + | 9.88291i | −0.266286 | + | 0.333912i | ||||
\(877\) | −4.87167 | − | 21.3442i | −0.164504 | − | 0.720741i | −0.988132 | − | 0.153610i | \(-0.950910\pi\) |
0.823627 | − | 0.567132i | \(-0.191947\pi\) | |||||||
\(878\) | −3.03952 | − | 6.31163i | −0.102579 | − | 0.213007i | ||||
\(879\) | −7.59903 | + | 3.65950i | −0.256309 | + | 0.123432i | ||||
\(880\) | −9.49962 | − | 2.16823i | −0.320232 | − | 0.0730909i | ||||
\(881\) | 14.5485 | − | 30.2102i | 0.490150 | − | 1.01781i | −0.498404 | − | 0.866945i | \(-0.666081\pi\) |
0.988555 | − | 0.150863i | \(-0.0482052\pi\) | |||||||
\(882\) | − | 4.41981i | − | 0.148823i | ||||||
\(883\) | −14.5303 | − | 6.99741i | −0.488982 | − | 0.235481i | 0.173112 | − | 0.984902i | \(-0.444618\pi\) |
−0.662094 | + | 0.749421i | \(0.730332\pi\) | |||||||
\(884\) | −35.7886 | − | 28.5405i | −1.20370 | − | 0.959920i | ||||
\(885\) | 8.42931 | + | 6.72215i | 0.283348 | + | 0.225963i | ||||
\(886\) | 2.70195 | + | 1.30119i | 0.0907737 | + | 0.0437143i | ||||
\(887\) | − | 52.7391i | − | 1.77081i | −0.464823 | − | 0.885403i | \(-0.653882\pi\) | ||
0.464823 | − | 0.885403i | \(-0.346118\pi\) | |||||||
\(888\) | 4.52145 | − | 9.38889i | 0.151730 | − | 0.315070i | ||||
\(889\) | −0.360765 | − | 0.0823422i | −0.0120997 | − | 0.00276167i | ||||
\(890\) | −1.57606 | + | 0.758993i | −0.0528298 | + | 0.0254415i | ||||
\(891\) | −5.52181 | − | 11.4661i | −0.184987 | − | 0.384130i | ||||
\(892\) | 0.729094 | + | 3.19437i | 0.0244119 | + | 0.106955i | ||||
\(893\) | 9.47099 | − | 11.8762i | 0.316935 | − | 0.397424i | ||||
\(894\) | 6.43817 | + | 8.07321i | 0.215325 | + | 0.270009i | ||||
\(895\) | −0.524459 | + | 2.29780i | −0.0175307 | + | 0.0768071i | ||||
\(896\) | 3.80013 | − | 0.867354i | 0.126953 | − | 0.0289763i | ||||
\(897\) | −12.6528 | + | 10.0903i | −0.422466 | + | 0.336905i | ||||
\(898\) | 5.48294 | 0.182968 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −11.7724 | −0.392413 | ||||||||
\(901\) | −16.4855 | + | 13.1468i | −0.549212 | + | 0.437982i | ||||
\(902\) | 6.66440 | − | 1.52111i | 0.221900 | − | 0.0506473i | ||||
\(903\) | 0.337282 | − | 1.47773i | 0.0112240 | − | 0.0491757i | ||||
\(904\) | 11.2612 | + | 14.1211i | 0.374543 | + | 0.469661i | ||||
\(905\) | −5.46867 | + | 6.85750i | −0.181785 | + | 0.227951i | ||||
\(906\) | 0.929608 | + | 4.07288i | 0.0308842 | + | 0.135312i | ||||
\(907\) | 12.9487 | + | 26.8882i | 0.429954 | + | 0.892809i | 0.997580 | + | 0.0695225i | \(0.0221476\pi\) |
−0.567626 | + | 0.823286i | \(0.692138\pi\) | |||||||
\(908\) | 22.4955 | − | 10.8332i | 0.746538 | − | 0.359514i | ||||
\(909\) | 4.54979 | + | 1.03846i | 0.150907 | + | 0.0344435i | ||||
\(910\) | −0.269587 | + | 0.559802i | −0.00893671 | + | 0.0185573i | ||||
\(911\) | − | 9.34050i | − | 0.309465i | −0.987956 | − | 0.154732i | \(-0.950548\pi\) | ||
0.987956 | − | 0.154732i | \(-0.0494515\pi\) | |||||||
\(912\) | 7.54892 | + | 3.63537i | 0.249970 | + | 0.120379i | ||||
\(913\) | −17.2018 | − | 13.7180i | −0.569296 | − | 0.453999i | ||||
\(914\) | −4.75383 | − | 3.79105i | −0.157243 | − | 0.125397i | ||||
\(915\) | −1.27748 | − | 0.615201i | −0.0422322 | − | 0.0203379i | ||||
\(916\) | − | 23.0151i | − | 0.760439i | ||||||
\(917\) | 1.24218 | − | 2.57942i | 0.0410205 | − | 0.0851798i | ||||
\(918\) | −10.8078 | − | 2.46681i | −0.356711 | − | 0.0814169i | ||||
\(919\) | 16.5966 | − | 7.99252i | 0.547473 | − | 0.263649i | −0.139637 | − | 0.990203i | \(-0.544594\pi\) |
0.687110 | + | 0.726554i | \(0.258879\pi\) | |||||||
\(920\) | 1.16641 | + | 2.42208i | 0.0384554 | + | 0.0798535i | ||||
\(921\) | −1.25368 | − | 5.49275i | −0.0413103 | − | 0.180992i | ||||
\(922\) | −3.22103 | + | 4.03904i | −0.106079 | + | 0.133019i | ||||
\(923\) | 25.8523 | + | 32.4178i | 0.850940 | + | 1.06705i | ||||
\(924\) | −0.881355 | + | 3.86147i | −0.0289944 | + | 0.127033i | ||||
\(925\) | 21.7699 | − | 4.96884i | 0.715790 | − | 0.163374i | ||||
\(926\) | −2.52007 | + | 2.00969i | −0.0828146 | + | 0.0660425i | ||||
\(927\) | −19.7289 | −0.647981 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −4.84654 | −0.159010 | −0.0795050 | − | 0.996834i | \(-0.525334\pi\) | ||||
−0.0795050 | + | 0.996834i | \(0.525334\pi\) | |||||||
\(930\) | −2.00933 | + | 1.60238i | −0.0658884 | + | 0.0525442i | ||||
\(931\) | −15.7919 | + | 3.60441i | −0.517560 | + | 0.118130i | ||||
\(932\) | 3.55496 | − | 15.5753i | 0.116447 | − | 0.510186i | ||||
\(933\) | −9.80910 | − | 12.3002i | −0.321136 | − | 0.402691i | ||||
\(934\) | −0.572548 | + | 0.717953i | −0.0187343 | + | 0.0234921i | ||||
\(935\) | −3.41789 | − | 14.9748i | −0.111777 | − | 0.489728i | ||||
\(936\) | −5.99684 | − | 12.4526i | −0.196013 | − | 0.407025i | ||||
\(937\) | −40.2863 | + | 19.4008i | −1.31609 | + | 0.633798i | −0.954409 | − | 0.298502i | \(-0.903513\pi\) |
−0.361686 | + | 0.932300i | \(0.617799\pi\) | |||||||
\(938\) | −0.359726 | − | 0.0821052i | −0.0117455 | − | 0.00268083i | ||||
\(939\) | 10.4098 | − | 21.6163i | 0.339712 | − | 0.705420i | ||||
\(940\) | 8.03684i | 0.262133i | ||||||||
\(941\) | 12.2397 | + | 5.89435i | 0.399004 | + | 0.192150i | 0.622615 | − | 0.782528i | \(-0.286070\pi\) |
−0.223611 | + | 0.974678i | \(0.571785\pi\) | |||||||
\(942\) | 7.91370 | + | 6.31096i | 0.257842 | + | 0.205622i | ||||
\(943\) | 5.58231 | + | 4.45175i | 0.181785 | + | 0.144969i | ||||
\(944\) | 32.0911 | + | 15.4543i | 1.04448 | + | 0.502994i | ||||
\(945\) | − | 1.36898i | − | 0.0445328i | ||||||
\(946\) | 3.24814 | − | 6.74482i | 0.105606 | − | 0.219293i | ||||
\(947\) | 14.6352 | + | 3.34040i | 0.475581 | + | 0.108548i | 0.453591 | − | 0.891210i | \(-0.350143\pi\) |
0.0219901 | + | 0.999758i | \(0.493000\pi\) | |||||||
\(948\) | 9.44385 | − | 4.54792i | 0.306722 | − | 0.147709i | ||||
\(949\) | −13.7978 | − | 28.6514i | −0.447894 | − | 0.930062i | ||||
\(950\) | −1.05525 | − | 4.62337i | −0.0342369 | − | 0.150002i | ||||
\(951\) | −2.23005 | + | 2.79640i | −0.0723144 | + | 0.0906794i | ||||
\(952\) | 1.69202 | + | 2.12173i | 0.0548387 | + | 0.0687656i | ||||
\(953\) | −11.5365 | + | 50.5449i | −0.373705 | + | 1.63731i | 0.342571 | + | 0.939492i | \(0.388702\pi\) |
−0.716276 | + | 0.697817i | \(0.754155\pi\) | |||||||
\(954\) | −2.94180 | + | 0.671448i | −0.0952444 | + | 0.0217389i | ||||
\(955\) | 5.77308 | − | 4.60388i | 0.186812 | − | 0.148978i | ||||
\(956\) | −46.0659 | −1.48988 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.73078 | 0.0559188 | ||||||||
\(959\) | 4.80843 | − | 3.83459i | 0.155272 | − | 0.123825i | ||||
\(960\) | −3.05478 | + | 0.697234i | −0.0985927 | + | 0.0225031i | ||||
\(961\) | 3.06704 | − | 13.4376i | 0.0989368 | − | 0.433470i | ||||
\(962\) | 7.74698 | + | 9.71441i | 0.249773 | + | 0.313205i | ||||
\(963\) | 14.6359 | − | 18.3528i | 0.471634 | − | 0.591411i | ||||
\(964\) | 3.90193 | + | 17.0955i | 0.125673 | + | 0.550608i | ||||
\(965\) | −6.82450 | − | 14.1712i | −0.219688 | − | 0.456187i | ||||
\(966\) | 0.409698 | − | 0.197300i | 0.0131818 | − | 0.00634803i | ||||
\(967\) | 40.5813 | + | 9.26241i | 1.30501 | + | 0.297859i | 0.817838 | − | 0.575449i | \(-0.195173\pi\) |
0.487168 | + | 0.873308i | \(0.338030\pi\) | |||||||
\(968\) | −9.83288 | + | 20.4182i | −0.316041 | + | 0.656265i | ||||
\(969\) | 13.2078i | 0.424294i | ||||||||
\(970\) | 0.0501138 | + | 0.0241335i | 0.00160906 | + | 0.000774881i | ||||
\(971\) | 43.6051 | + | 34.7739i | 1.39935 | + | 1.11595i | 0.977894 | + | 0.209100i | \(0.0670534\pi\) |
0.421459 | + | 0.906847i | \(0.361518\pi\) | |||||||
\(972\) | 18.8999 | + | 15.0722i | 0.606215 | + | 0.483440i | ||||
\(973\) | 5.35958 | + | 2.58104i | 0.171820 | + | 0.0827443i | ||||
\(974\) | 4.38165i | 0.140397i | ||||||||
\(975\) | −13.8274 | + | 28.7129i | −0.442831 | + | 0.919548i | ||||
\(976\) | −4.56681 | − | 1.04234i | −0.146180 | − | 0.0333646i | ||||
\(977\) | −44.1100 | + | 21.2422i | −1.41120 | + | 0.679600i | −0.975400 | − | 0.220442i | \(-0.929250\pi\) |
−0.435803 | + | 0.900042i | \(0.643536\pi\) | |||||||
\(978\) | 3.04372 | + | 6.32036i | 0.0973275 | + | 0.202103i | ||||
\(979\) | −6.24243 | − | 27.3499i | −0.199509 | − | 0.874106i | ||||
\(980\) | 5.34332 | − | 6.70031i | 0.170686 | − | 0.214034i | ||||
\(981\) | −4.92543 | − | 6.17629i | −0.157257 | − | 0.197194i | ||||
\(982\) | 0.771570 | − | 3.38047i | 0.0246218 | − | 0.107875i | ||||
\(983\) | 5.04360 | − | 1.15117i | 0.160866 | − | 0.0367166i | −0.141329 | − | 0.989963i | \(-0.545138\pi\) |
0.302195 | + | 0.953246i | \(0.402281\pi\) | |||||||
\(984\) | 5.13011 | − | 4.09113i | 0.163542 | − | 0.130420i | ||||
\(985\) | 13.5345 | 0.431246 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 2.86831 | 0.0912994 | ||||||||
\(988\) | −18.7697 | + | 14.9683i | −0.597142 | + | 0.476205i | ||||
\(989\) | 7.62335 | − | 1.73998i | 0.242408 | − | 0.0553281i | ||||
\(990\) | 0.489115 | − | 2.14295i | 0.0155451 | − | 0.0681075i | ||||
\(991\) | 10.5075 | + | 13.1760i | 0.333783 | + | 0.418550i | 0.920194 | − | 0.391463i | \(-0.128031\pi\) |
−0.586411 | + | 0.810014i | \(0.699460\pi\) | |||||||
\(992\) | −19.4133 | + | 24.3436i | −0.616374 | + | 0.772909i | ||||
\(993\) | 0.869641 | + | 3.81015i | 0.0275972 | + | 0.120911i | ||||
\(994\) | −0.505503 | − | 1.04969i | −0.0160336 | − | 0.0332940i | ||||
\(995\) | −0.545565 | + | 0.262730i | −0.0172956 | + | 0.00832911i | ||||
\(996\) | −9.75872 | − | 2.22737i | −0.309217 | − | 0.0705768i | ||||
\(997\) | −16.5786 | + | 34.4257i | −0.525048 | + | 1.09027i | 0.454812 | + | 0.890588i | \(0.349707\pi\) |
−0.979860 | + | 0.199686i | \(0.936008\pi\) | |||||||
\(998\) | 9.15239i | 0.289714i | ||||||||
\(999\) | −24.6652 | − | 11.8781i | −0.780371 | − | 0.375807i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))