Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(4,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bs (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Character | \(\chi\) | \(=\) | 403.4 |
Dual form | 403.2.bs.a.101.3 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.518746 | + | 2.44051i | −0.366809 | + | 1.72570i | 0.277315 | + | 0.960779i | \(0.410555\pi\) |
−0.644124 | + | 0.764921i | \(0.722778\pi\) | |||||||
\(3\) | −1.86014 | − | 2.06590i | −1.07395 | − | 1.19275i | −0.980377 | − | 0.197134i | \(-0.936837\pi\) |
−0.0935766 | − | 0.995612i | \(-0.529830\pi\) | |||||||
\(4\) | −3.85989 | − | 1.71854i | −1.92995 | − | 0.859268i | ||||
\(5\) | 2.00004i | 0.894446i | 0.894422 | + | 0.447223i | \(0.147587\pi\) | ||||
−0.894422 | + | 0.447223i | \(0.852413\pi\) | |||||||
\(6\) | 6.00678 | − | 3.46802i | 2.45226 | − | 1.41581i | ||||
\(7\) | −1.59632 | + | 3.58539i | −0.603351 | + | 1.35515i | 0.311071 | + | 0.950387i | \(0.399312\pi\) |
−0.914422 | + | 0.404762i | \(0.867354\pi\) | |||||||
\(8\) | 3.26332 | − | 4.49158i | 1.15376 | − | 1.58801i | ||||
\(9\) | −0.494216 | + | 4.70215i | −0.164739 | + | 1.56738i | ||||
\(10\) | −4.88112 | − | 1.03751i | −1.54355 | − | 0.328091i | ||||
\(11\) | −1.84978 | + | 0.194419i | −0.557729 | + | 0.0586197i | −0.379200 | − | 0.925315i | \(-0.623801\pi\) |
−0.178529 | + | 0.983935i | \(0.557134\pi\) | |||||||
\(12\) | 3.62963 | + | 11.1709i | 1.04778 | + | 3.22475i | ||||
\(13\) | 0.726405 | − | 3.53162i | 0.201468 | − | 0.979495i | ||||
\(14\) | −7.92208 | − | 5.75573i | −2.11727 | − | 1.53828i | ||||
\(15\) | 4.13188 | − | 3.72036i | 1.06685 | − | 0.960593i | ||||
\(16\) | 3.61450 | + | 4.01431i | 0.903626 | + | 1.00358i | ||||
\(17\) | 0.706683 | − | 6.72364i | 0.171396 | − | 1.63072i | −0.483741 | − | 0.875211i | \(-0.660722\pi\) |
0.655136 | − | 0.755511i | \(-0.272611\pi\) | |||||||
\(18\) | −11.2193 | − | 3.64536i | −2.64441 | − | 0.859220i | ||||
\(19\) | 0.410670 | + | 0.369769i | 0.0942141 | + | 0.0848307i | 0.714892 | − | 0.699235i | \(-0.246476\pi\) |
−0.620678 | + | 0.784066i | \(0.713143\pi\) | |||||||
\(20\) | 3.43714 | − | 7.71995i | 0.768569 | − | 1.72623i | ||||
\(21\) | 10.3764 | − | 3.37150i | 2.26432 | − | 0.735722i | ||||
\(22\) | 0.485083 | − | 4.61525i | 0.103420 | − | 0.983975i | ||||
\(23\) | 0.0161603 | − | 0.00719504i | 0.00336966 | − | 0.00150027i | −0.405051 | − | 0.914294i | \(-0.632746\pi\) |
0.408421 | + | 0.912794i | \(0.366080\pi\) | |||||||
\(24\) | −15.3494 | + | 1.61328i | −3.13318 | + | 0.329310i | ||||
\(25\) | 0.999830 | 0.199966 | ||||||||
\(26\) | 8.24213 | + | 3.60481i | 1.61641 | + | 0.706962i | ||||
\(27\) | 3.88642 | − | 2.82365i | 0.747943 | − | 0.543412i | ||||
\(28\) | 12.3232 | − | 11.0959i | 2.32887 | − | 2.09693i | ||||
\(29\) | −8.78316 | − | 1.86692i | −1.63099 | − | 0.346678i | −0.700688 | − | 0.713468i | \(-0.747123\pi\) |
−0.930304 | + | 0.366790i | \(0.880457\pi\) | |||||||
\(30\) | 6.93618 | + | 12.0138i | 1.26637 | + | 2.19341i | ||||
\(31\) | 5.34893 | − | 1.54562i | 0.960696 | − | 0.277602i | ||||
\(32\) | −2.05581 | + | 1.18692i | −0.363420 | + | 0.209820i | ||||
\(33\) | 3.84250 | + | 3.45980i | 0.668893 | + | 0.602274i | ||||
\(34\) | 16.0425 | + | 5.21253i | 2.75127 | + | 0.893941i | ||||
\(35\) | −7.17093 | − | 3.19270i | −1.21211 | − | 0.539665i | ||||
\(36\) | 9.98844 | − | 17.3005i | 1.66474 | − | 2.88341i | ||||
\(37\) | −0.381900 | − | 0.220490i | −0.0627839 | − | 0.0362483i | 0.468279 | − | 0.883580i | \(-0.344874\pi\) |
−0.531063 | + | 0.847332i | \(0.678207\pi\) | |||||||
\(38\) | −1.11546 | + | 0.810427i | −0.180951 | + | 0.131469i | ||||
\(39\) | −8.64718 | + | 5.06863i | −1.38466 | + | 0.811631i | ||||
\(40\) | 8.98335 | + | 6.52678i | 1.42039 | + | 1.03198i | ||||
\(41\) | 2.16483 | − | 10.1847i | 0.338090 | − | 1.59059i | −0.400412 | − | 0.916335i | \(-0.631133\pi\) |
0.738501 | − | 0.674252i | \(-0.235534\pi\) | |||||||
\(42\) | 2.84545 | + | 27.0727i | 0.439063 | + | 4.17741i | ||||
\(43\) | −0.304383 | + | 0.338052i | −0.0464180 | + | 0.0515524i | −0.765907 | − | 0.642952i | \(-0.777710\pi\) |
0.719489 | + | 0.694504i | \(0.244376\pi\) | |||||||
\(44\) | 7.47406 | + | 2.42847i | 1.12676 | + | 0.366106i | ||||
\(45\) | −9.40451 | − | 0.988454i | −1.40194 | − | 0.147350i | ||||
\(46\) | 0.00917645 | + | 0.0431718i | 0.00135299 | + | 0.00636533i | ||||
\(47\) | −11.7978 | − | 3.83334i | −1.72089 | − | 0.559151i | −0.728804 | − | 0.684722i | \(-0.759924\pi\) |
−0.992085 | + | 0.125572i | \(0.959924\pi\) | |||||||
\(48\) | 1.56967 | − | 14.9344i | 0.226562 | − | 2.15559i | ||||
\(49\) | −5.62285 | − | 6.24481i | −0.803265 | − | 0.892116i | ||||
\(50\) | −0.518658 | + | 2.44009i | −0.0733493 | + | 0.345081i | ||||
\(51\) | −15.2049 | + | 11.0470i | −2.12911 | + | 1.54689i | ||||
\(52\) | −8.87306 | + | 12.3833i | −1.23047 | + | 1.71726i | ||||
\(53\) | 2.34914 | + | 1.70675i | 0.322679 | + | 0.234440i | 0.737318 | − | 0.675546i | \(-0.236092\pi\) |
−0.414639 | + | 0.909986i | \(0.636092\pi\) | |||||||
\(54\) | 4.87508 | + | 10.9496i | 0.663414 | + | 1.49005i | ||||
\(55\) | −0.388847 | − | 3.69963i | −0.0524322 | − | 0.498859i | ||||
\(56\) | 10.8947 | + | 18.8703i | 1.45587 | + | 2.52164i | ||||
\(57\) | − | 1.53622i | − | 0.203478i | ||||||
\(58\) | 9.11246 | − | 20.4669i | 1.19652 | − | 2.68744i | ||||
\(59\) | 1.67919 | + | 7.89999i | 0.218612 | + | 1.02849i | 0.941367 | + | 0.337386i | \(0.109543\pi\) |
−0.722754 | + | 0.691105i | \(0.757124\pi\) | |||||||
\(60\) | −22.3422 | + | 7.25942i | −2.88437 | + | 0.937187i | ||||
\(61\) | 1.55585 | + | 2.69482i | 0.199207 | + | 0.345036i | 0.948271 | − | 0.317461i | \(-0.102830\pi\) |
−0.749065 | + | 0.662497i | \(0.769497\pi\) | |||||||
\(62\) | 0.997366 | + | 13.8559i | 0.126666 | + | 1.75970i | ||||
\(63\) | −16.0701 | − | 9.27808i | −2.02464 | − | 1.16893i | ||||
\(64\) | 1.50824 | + | 4.64188i | 0.188530 | + | 0.580235i | ||||
\(65\) | 7.06339 | + | 1.45284i | 0.876106 | + | 0.180203i | ||||
\(66\) | −10.4370 | + | 7.58289i | −1.28470 | + | 0.933390i | ||||
\(67\) | −12.0733 | − | 6.97053i | −1.47499 | − | 0.851585i | −0.475387 | − | 0.879777i | \(-0.657692\pi\) |
−0.999603 | + | 0.0281914i | \(0.991025\pi\) | |||||||
\(68\) | −14.2825 | + | 24.7381i | −1.73201 | + | 2.99993i | ||||
\(69\) | −0.0449247 | − | 0.0200018i | −0.00540829 | − | 0.00240793i | ||||
\(70\) | 11.5117 | − | 15.8445i | 1.37591 | − | 1.89378i | ||||
\(71\) | 4.69760 | + | 0.493738i | 0.557503 | + | 0.0585959i | 0.379090 | − | 0.925360i | \(-0.376237\pi\) |
0.178413 | + | 0.983956i | \(0.442904\pi\) | |||||||
\(72\) | 19.5073 | + | 17.5645i | 2.29896 | + | 2.06999i | ||||
\(73\) | 0.843917 | + | 1.16155i | 0.0987731 | + | 0.135949i | 0.855543 | − | 0.517732i | \(-0.173224\pi\) |
−0.756770 | + | 0.653682i | \(0.773224\pi\) | |||||||
\(74\) | 0.736216 | − | 0.817651i | 0.0855834 | − | 0.0950500i | ||||
\(75\) | −1.85982 | − | 2.06554i | −0.214754 | − | 0.238509i | ||||
\(76\) | −0.949681 | − | 2.13302i | −0.108936 | − | 0.244674i | ||||
\(77\) | 2.25576 | − | 6.94252i | 0.257068 | − | 0.791174i | ||||
\(78\) | −7.88436 | − | 23.7328i | −0.892728 | − | 2.68722i | ||||
\(79\) | 5.23589 | + | 3.80410i | 0.589084 | + | 0.427994i | 0.841987 | − | 0.539497i | \(-0.181386\pi\) |
−0.252904 | + | 0.967491i | \(0.581386\pi\) | |||||||
\(80\) | −8.02880 | + | 7.22916i | −0.897647 | + | 0.808245i | ||||
\(81\) | 0.811534 | + | 0.172497i | 0.0901705 | + | 0.0191663i | ||||
\(82\) | 23.7329 | + | 10.5666i | 2.62086 | + | 1.16688i | ||||
\(83\) | −8.15388 | + | 2.64936i | −0.895004 | + | 0.290805i | −0.720174 | − | 0.693794i | \(-0.755938\pi\) |
−0.174831 | + | 0.984598i | \(0.555938\pi\) | |||||||
\(84\) | −45.8459 | − | 4.81860i | −5.00220 | − | 0.525752i | ||||
\(85\) | 13.4476 | + | 1.41340i | 1.45859 | + | 0.153304i | ||||
\(86\) | −0.667121 | − | 0.918213i | −0.0719375 | − | 0.0990134i | ||||
\(87\) | 12.4811 | + | 21.6178i | 1.33811 | + | 2.31767i | ||||
\(88\) | −5.16317 | + | 8.94288i | −0.550396 | + | 0.953314i | ||||
\(89\) | −3.42737 | + | 0.360231i | −0.363300 | + | 0.0381844i | −0.284420 | − | 0.958700i | \(-0.591801\pi\) |
−0.0788799 | + | 0.996884i | \(0.525134\pi\) | |||||||
\(90\) | 7.29088 | − | 22.4390i | 0.768526 | − | 2.36528i | ||||
\(91\) | 11.5026 | + | 8.24203i | 1.20581 | + | 0.863999i | ||||
\(92\) | −0.0747420 | −0.00779240 | ||||||||
\(93\) | −13.1429 | − | 8.17526i | −1.36285 | − | 0.847735i | ||||
\(94\) | 15.4754 | − | 26.8041i | 1.59616 | − | 2.76464i | ||||
\(95\) | −0.739553 | + | 0.821357i | −0.0758765 | + | 0.0842694i | ||||
\(96\) | 6.27616 | + | 2.03925i | 0.640558 | + | 0.208130i | ||||
\(97\) | 5.35306 | − | 12.0232i | 0.543521 | − | 1.22077i | −0.407943 | − | 0.913007i | \(-0.633754\pi\) |
0.951464 | − | 0.307760i | \(-0.0995794\pi\) | |||||||
\(98\) | 18.1574 | − | 10.4832i | 1.83417 | − | 1.05896i | ||||
\(99\) | − | 8.79403i | − | 0.883833i | ||||||
\(100\) | −3.85924 | − | 1.71824i | −0.385924 | − | 0.171824i | ||||
\(101\) | 0.898845 | − | 0.400192i | 0.0894385 | − | 0.0398206i | −0.361530 | − | 0.932361i | \(-0.617745\pi\) |
0.450968 | + | 0.892540i | \(0.351079\pi\) | |||||||
\(102\) | −19.0728 | − | 42.8382i | −1.88849 | − | 4.24161i | ||||
\(103\) | −3.44356 | − | 10.5982i | −0.339304 | − | 1.04427i | −0.964563 | − | 0.263853i | \(-0.915007\pi\) |
0.625259 | − | 0.780417i | \(-0.284993\pi\) | |||||||
\(104\) | −13.4921 | − | 14.7875i | −1.32300 | − | 1.45004i | ||||
\(105\) | 6.74315 | + | 20.7533i | 0.658064 | + | 2.02531i | ||||
\(106\) | −5.38394 | + | 4.84772i | −0.522934 | + | 0.470852i | ||||
\(107\) | −8.84570 | + | 3.93836i | −0.855146 | + | 0.380736i | −0.787010 | − | 0.616940i | \(-0.788372\pi\) |
−0.0681365 | + | 0.997676i | \(0.521705\pi\) | |||||||
\(108\) | −19.8537 | + | 4.22004i | −1.91043 | + | 0.406074i | ||||
\(109\) | 1.72280 | + | 0.559773i | 0.165015 | + | 0.0536165i | 0.390359 | − | 0.920663i | \(-0.372351\pi\) |
−0.225345 | + | 0.974279i | \(0.572351\pi\) | |||||||
\(110\) | 9.23070 | + | 0.970186i | 0.880113 | + | 0.0925036i | ||||
\(111\) | 0.254878 | + | 1.19911i | 0.0241920 | + | 0.113814i | ||||
\(112\) | −20.1628 | + | 6.55128i | −1.90520 | + | 0.619038i | ||||
\(113\) | −15.3417 | − | 6.83055i | −1.44322 | − | 0.642564i | −0.472187 | − | 0.881498i | \(-0.656535\pi\) |
−0.971036 | + | 0.238934i | \(0.923202\pi\) | |||||||
\(114\) | 3.74917 | + | 0.796910i | 0.351142 | + | 0.0746374i | ||||
\(115\) | 0.0143904 | + | 0.0323213i | 0.00134191 | + | 0.00301398i | ||||
\(116\) | 30.6937 | + | 22.3003i | 2.84984 | + | 2.07053i | ||||
\(117\) | 16.2472 | + | 5.16105i | 1.50206 | + | 0.477139i | ||||
\(118\) | −20.1511 | −1.85506 | ||||||||
\(119\) | 22.9788 | + | 13.2668i | 2.10646 | + | 1.21616i | ||||
\(120\) | −3.22664 | − | 30.6994i | −0.294550 | − | 2.80246i | ||||
\(121\) | −7.37574 | + | 1.56776i | −0.670522 | + | 0.142524i | ||||
\(122\) | −7.38382 | + | 2.39915i | −0.668500 | + | 0.217209i | ||||
\(123\) | −25.0675 | + | 14.4727i | −2.26026 | + | 1.30496i | ||||
\(124\) | −23.3025 | − | 3.22639i | −2.09263 | − | 0.289739i | ||||
\(125\) | 11.9999i | 1.07331i | ||||||||
\(126\) | 30.9796 | − | 34.4063i | 2.75988 | − | 3.06516i | ||||
\(127\) | −7.07211 | − | 7.85437i | −0.627548 | − | 0.696963i | 0.342598 | − | 0.939482i | \(-0.388693\pi\) |
−0.970147 | + | 0.242519i | \(0.922026\pi\) | |||||||
\(128\) | −16.8326 | + | 1.76918i | −1.48781 | + | 0.156375i | ||||
\(129\) | 1.26458 | 0.111340 | ||||||||
\(130\) | −7.20978 | + | 16.4846i | −0.632339 | + | 1.44580i | ||||
\(131\) | −1.88889 | + | 1.37236i | −0.165033 | + | 0.119903i | −0.667236 | − | 0.744846i | \(-0.732523\pi\) |
0.502203 | + | 0.864749i | \(0.332523\pi\) | |||||||
\(132\) | −8.88585 | − | 19.9579i | −0.773414 | − | 1.73712i | ||||
\(133\) | −1.98132 | + | 0.882142i | −0.171802 | + | 0.0764914i | ||||
\(134\) | 23.2746 | − | 25.8491i | 2.01062 | − | 2.23302i | ||||
\(135\) | 5.64742 | + | 7.77301i | 0.486053 | + | 0.668994i | ||||
\(136\) | −27.8936 | − | 25.1155i | −2.39186 | − | 2.15364i | ||||
\(137\) | −0.759231 | − | 3.57190i | −0.0648655 | − | 0.305168i | 0.933741 | − | 0.357951i | \(-0.116524\pi\) |
−0.998606 | + | 0.0527823i | \(0.983191\pi\) | |||||||
\(138\) | 0.0721189 | − | 0.0992632i | 0.00613917 | − | 0.00844985i | ||||
\(139\) | −2.65634 | + | 0.564623i | −0.225308 | + | 0.0478907i | −0.319182 | − | 0.947693i | \(-0.603408\pi\) |
0.0938742 | + | 0.995584i | \(0.470075\pi\) | |||||||
\(140\) | 22.1922 | + | 24.6470i | 1.87559 | + | 2.08305i | ||||
\(141\) | 14.0263 | + | 31.5036i | 1.18123 | + | 2.65308i | ||||
\(142\) | −3.64184 | + | 11.2084i | −0.305616 | + | 0.940590i | ||||
\(143\) | −0.657072 | + | 6.67394i | −0.0549471 | + | 0.558103i | ||||
\(144\) | −20.6623 | + | 15.0120i | −1.72186 | + | 1.25100i | ||||
\(145\) | 3.73392 | − | 17.5667i | 0.310085 | − | 1.45883i | ||||
\(146\) | −3.27256 | + | 1.45704i | −0.270839 | + | 0.120585i | ||||
\(147\) | −2.44183 | + | 23.2325i | −0.201399 | + | 1.91618i | ||||
\(148\) | 1.09517 | + | 1.50738i | 0.0900226 | + | 0.123906i | ||||
\(149\) | 4.35571 | − | 2.51477i | 0.356834 | − | 0.206018i | −0.310857 | − | 0.950457i | \(-0.600616\pi\) |
0.667691 | + | 0.744438i | \(0.267283\pi\) | |||||||
\(150\) | 6.00576 | − | 3.46742i | 0.490368 | − | 0.283114i | ||||
\(151\) | 1.47037 | + | 2.02379i | 0.119657 | + | 0.164693i | 0.864644 | − | 0.502386i | \(-0.167544\pi\) |
−0.744987 | + | 0.667079i | \(0.767544\pi\) | |||||||
\(152\) | 3.00099 | − | 0.637881i | 0.243413 | − | 0.0517389i | ||||
\(153\) | 31.2663 | + | 6.64586i | 2.52773 | + | 0.537286i | ||||
\(154\) | 15.7731 | + | 9.10662i | 1.27103 | + | 0.733832i | ||||
\(155\) | 3.09131 | + | 10.6981i | 0.248300 | + | 0.859291i | ||||
\(156\) | 42.0878 | − | 4.70391i | 3.36972 | − | 0.376615i | ||||
\(157\) | −2.54396 | − | 7.82949i | −0.203030 | − | 0.624861i | −0.999789 | − | 0.0205639i | \(-0.993454\pi\) |
0.796759 | − | 0.604298i | \(-0.206546\pi\) | |||||||
\(158\) | −12.0000 | + | 10.8049i | −0.954671 | + | 0.859590i | ||||
\(159\) | −0.843763 | − | 8.02787i | −0.0669147 | − | 0.636651i | ||||
\(160\) | −2.37390 | − | 4.11171i | −0.187673 | − | 0.325059i | ||||
\(161\) | 0.0694265i | 0.00547158i | ||||||||
\(162\) | −0.841961 | + | 1.89107i | −0.0661507 | + | 0.148577i | ||||
\(163\) | −11.1015 | − | 1.16682i | −0.869539 | − | 0.0913922i | −0.340758 | − | 0.940151i | \(-0.610684\pi\) |
−0.528780 | + | 0.848759i | \(0.677350\pi\) | |||||||
\(164\) | −25.8588 | + | 35.5916i | −2.01924 | + | 2.77924i | ||||
\(165\) | −6.91975 | + | 7.68516i | −0.538702 | + | 0.598289i | ||||
\(166\) | −2.23598 | − | 21.2740i | −0.173546 | − | 1.65118i | ||||
\(167\) | 4.24678 | − | 19.9795i | 0.328625 | − | 1.54606i | −0.435017 | − | 0.900422i | \(-0.643258\pi\) |
0.763643 | − | 0.645639i | \(-0.223409\pi\) | |||||||
\(168\) | 18.7182 | − | 57.6088i | 1.44414 | − | 4.44461i | ||||
\(169\) | −11.9447 | − | 5.13077i | −0.918821 | − | 0.394675i | ||||
\(170\) | −10.4253 | + | 32.0857i | −0.799582 | + | 2.46086i | ||||
\(171\) | −1.94167 | + | 1.74829i | −0.148483 | + | 0.133695i | ||||
\(172\) | 1.75584 | − | 0.781751i | 0.133882 | − | 0.0596079i | ||||
\(173\) | 1.57313 | − | 0.334380i | 0.119603 | − | 0.0254224i | −0.147721 | − | 0.989029i | \(-0.547194\pi\) |
0.267324 | + | 0.963607i | \(0.413860\pi\) | |||||||
\(174\) | −59.2330 | + | 19.2460i | −4.49044 | + | 1.45903i | ||||
\(175\) | −1.59604 | + | 3.58478i | −0.120650 | + | 0.270984i | ||||
\(176\) | −7.46649 | − | 6.72286i | −0.562808 | − | 0.506755i | ||||
\(177\) | 13.1970 | − | 18.1641i | 0.991949 | − | 1.36530i | ||||
\(178\) | 0.898787 | − | 8.55138i | 0.0673669 | − | 0.640953i | ||||
\(179\) | −0.452348 | − | 4.30380i | −0.0338101 | − | 0.321681i | −0.998335 | − | 0.0576882i | \(-0.981627\pi\) |
0.964525 | − | 0.263993i | \(-0.0850396\pi\) | |||||||
\(180\) | 34.6017 | + | 19.9773i | 2.57906 | + | 1.48902i | ||||
\(181\) | 2.75510 | 0.204785 | 0.102393 | − | 0.994744i | \(-0.467350\pi\) | ||||
0.102393 | + | 0.994744i | \(0.467350\pi\) | |||||||
\(182\) | −26.0817 | + | 23.7968i | −1.93330 | + | 1.76394i | ||||
\(183\) | 2.67311 | − | 8.22698i | 0.197602 | − | 0.608156i | ||||
\(184\) | 0.0204193 | − | 0.0960650i | 0.00150533 | − | 0.00708201i | ||||
\(185\) | 0.440989 | − | 0.763815i | 0.0324222 | − | 0.0561568i | ||||
\(186\) | 26.7696 | − | 27.8344i | 1.96284 | − | 2.04092i | ||||
\(187\) | 12.5746i | 0.919548i | ||||||||
\(188\) | 38.9506 | + | 35.0713i | 2.84076 | + | 2.55784i | ||||
\(189\) | 3.91992 | + | 18.4418i | 0.285132 | + | 1.34144i | ||||
\(190\) | −1.62089 | − | 2.23096i | −0.117592 | − | 0.161851i | ||||
\(191\) | −7.32411 | − | 12.6857i | −0.529954 | − | 0.917907i | −0.999389 | − | 0.0349402i | \(-0.988876\pi\) |
0.469436 | − | 0.882967i | \(-0.344457\pi\) | |||||||
\(192\) | 6.78411 | − | 11.7504i | 0.489601 | − | 0.848013i | ||||
\(193\) | 24.0057 | − | 2.52310i | 1.72797 | − | 0.181617i | 0.812214 | − | 0.583360i | \(-0.198262\pi\) |
0.915752 | + | 0.401743i | \(0.131596\pi\) | |||||||
\(194\) | 26.5658 | + | 19.3012i | 1.90731 | + | 1.38574i | ||||
\(195\) | −10.1375 | − | 17.2947i | −0.725960 | − | 1.23850i | ||||
\(196\) | 10.9717 | + | 33.7674i | 0.783692 | + | 2.41196i | ||||
\(197\) | −22.9923 | + | 2.41658i | −1.63813 | + | 0.172174i | −0.878354 | − | 0.478010i | \(-0.841358\pi\) |
−0.759776 | + | 0.650185i | \(0.774691\pi\) | |||||||
\(198\) | 21.4619 | + | 4.56187i | 1.52523 | + | 0.324198i | ||||
\(199\) | −0.117033 | + | 0.0248761i | −0.00829623 | + | 0.00176342i | −0.212058 | − | 0.977257i | \(-0.568017\pi\) |
0.203762 | + | 0.979021i | \(0.434683\pi\) | |||||||
\(200\) | 3.26277 | − | 4.49081i | 0.230712 | − | 0.317548i | ||||
\(201\) | 8.05767 | + | 37.9084i | 0.568344 | + | 2.67385i | ||||
\(202\) | 0.510399 | + | 2.40124i | 0.0359115 | + | 0.168951i | ||||
\(203\) | 20.7143 | − | 28.5108i | 1.45386 | − | 2.00107i | ||||
\(204\) | 77.6739 | − | 16.5101i | 5.43826 | − | 1.15594i | ||||
\(205\) | 20.3699 | + | 4.32975i | 1.42269 | + | 0.302403i | ||||
\(206\) | 27.6513 | − | 2.90627i | 1.92656 | − | 0.202489i | ||||
\(207\) | 0.0258455 | + | 0.0795442i | 0.00179638 | + | 0.00552870i | ||||
\(208\) | 16.8026 | − | 9.84904i | 1.16505 | − | 0.682908i | ||||
\(209\) | −0.831538 | − | 0.604148i | −0.0575187 | − | 0.0417898i | ||||
\(210\) | −54.1465 | + | 5.69103i | −3.73646 | + | 0.392718i | ||||
\(211\) | −7.64963 | + | 13.2495i | −0.526622 | + | 0.912137i | 0.472897 | + | 0.881118i | \(0.343208\pi\) |
−0.999519 | + | 0.0310186i | \(0.990125\pi\) | |||||||
\(212\) | −6.13431 | − | 10.6249i | −0.421306 | − | 0.729724i | ||||
\(213\) | −7.71820 | − | 10.6232i | −0.528842 | − | 0.727889i | ||||
\(214\) | −5.02293 | − | 23.6310i | −0.343360 | − | 1.61538i | ||||
\(215\) | −0.676118 | − | 0.608779i | −0.0461109 | − | 0.0415184i | ||||
\(216\) | − | 26.6707i | − | 1.81471i | ||||||
\(217\) | −2.99694 | + | 21.6453i | −0.203445 | + | 1.46938i | ||||
\(218\) | −2.25983 | + | 3.91414i | −0.153055 | + | 0.265099i | ||||
\(219\) | 0.829842 | − | 3.90410i | 0.0560755 | − | 0.263815i | ||||
\(220\) | −4.85705 | + | 14.9484i | −0.327462 | + | 1.00782i | ||||
\(221\) | −23.2320 | − | 7.37982i | −1.56275 | − | 0.496420i | ||||
\(222\) | −3.05865 | −0.205283 | ||||||||
\(223\) | 22.6944 | + | 13.1026i | 1.51973 | + | 0.877417i | 0.999730 | + | 0.0232511i | \(0.00740174\pi\) |
0.520001 | + | 0.854166i | \(0.325932\pi\) | |||||||
\(224\) | −0.973852 | − | 9.26559i | −0.0650683 | − | 0.619083i | ||||
\(225\) | −0.494132 | + | 4.70135i | −0.0329421 | + | 0.313423i | ||||
\(226\) | 24.6284 | − | 33.8982i | 1.63826 | − | 2.25487i | ||||
\(227\) | 12.5226 | + | 11.2754i | 0.831154 | + | 0.748375i | 0.970302 | − | 0.241897i | \(-0.0777695\pi\) |
−0.139147 | + | 0.990272i | \(0.544436\pi\) | |||||||
\(228\) | −2.64005 | + | 5.92966i | −0.174842 | + | 0.392701i | ||||
\(229\) | 8.29219 | − | 2.69430i | 0.547964 | − | 0.178044i | −0.0219347 | − | 0.999759i | \(-0.506983\pi\) |
0.569898 | + | 0.821715i | \(0.306983\pi\) | |||||||
\(230\) | −0.0863454 | + | 0.0183533i | −0.00569345 | + | 0.00121018i | ||||
\(231\) | −18.5386 | + | 8.25390i | −1.21975 | + | 0.543067i | ||||
\(232\) | −37.0477 | + | 33.3579i | −2.43230 | + | 2.19005i | ||||
\(233\) | −4.22847 | + | 13.0139i | −0.277017 | + | 0.852569i | 0.711662 | + | 0.702522i | \(0.247943\pi\) |
−0.988679 | + | 0.150048i | \(0.952057\pi\) | |||||||
\(234\) | −21.0238 | + | 36.9742i | −1.37437 | + | 2.41708i | ||||
\(235\) | 7.66685 | − | 23.5961i | 0.500130 | − | 1.53924i | ||||
\(236\) | 7.09490 | − | 33.3789i | 0.461839 | − | 2.17278i | ||||
\(237\) | −1.88063 | − | 17.8930i | −0.122160 | − | 1.16227i | ||||
\(238\) | −44.2979 | + | 49.1978i | −2.87140 | + | 3.18902i | ||||
\(239\) | 6.30218 | − | 8.67421i | 0.407654 | − | 0.561088i | −0.554990 | − | 0.831857i | \(-0.687278\pi\) |
0.962644 | + | 0.270769i | \(0.0872780\pi\) | |||||||
\(240\) | 29.8694 | + | 3.13940i | 1.92806 | + | 0.202647i | ||||
\(241\) | −10.1389 | + | 22.7723i | −0.653102 | + | 1.46689i | 0.218080 | + | 0.975931i | \(0.430021\pi\) |
−0.871182 | + | 0.490961i | \(0.836646\pi\) | |||||||
\(242\) | − | 18.8138i | − | 1.20940i | ||||||
\(243\) | −8.35903 | − | 14.4783i | −0.536232 | − | 0.928782i | ||||
\(244\) | −1.37429 | − | 13.0755i | −0.0879800 | − | 0.837074i | ||||
\(245\) | 12.4899 | − | 11.2459i | 0.797950 | − | 0.718477i | ||||
\(246\) | −22.3171 | − | 68.6851i | −1.42289 | − | 4.37920i | ||||
\(247\) | 1.60419 | − | 1.18173i | 0.102072 | − | 0.0751915i | ||||
\(248\) | 10.5130 | − | 29.0690i | 0.667576 | − | 1.84588i | ||||
\(249\) | 20.6407 | + | 11.9169i | 1.30805 | + | 0.755202i | ||||
\(250\) | −29.2859 | − | 6.22491i | −1.85220 | − | 0.393698i | ||||
\(251\) | −14.6174 | + | 3.10703i | −0.922643 | + | 0.196114i | −0.644657 | − | 0.764472i | \(-0.723000\pi\) |
−0.277985 | + | 0.960585i | \(0.589667\pi\) | |||||||
\(252\) | 46.0842 | + | 63.4295i | 2.90303 | + | 3.99568i | ||||
\(253\) | −0.0284941 | + | 0.0164511i | −0.00179141 | + | 0.00103427i | ||||
\(254\) | 22.8373 | − | 13.1851i | 1.43294 | − | 0.827308i | ||||
\(255\) | −22.0944 | − | 30.4104i | −1.38361 | − | 1.90437i | ||||
\(256\) | 3.39380 | − | 32.2899i | 0.212113 | − | 2.01812i | ||||
\(257\) | −13.2059 | + | 5.87963i | −0.823759 | + | 0.366761i | −0.774931 | − | 0.632046i | \(-0.782215\pi\) |
−0.0488282 | + | 0.998807i | \(0.515549\pi\) | |||||||
\(258\) | −0.655994 | + | 3.08621i | −0.0408404 | + | 0.192139i | ||||
\(259\) | 1.40017 | − | 1.01729i | 0.0870026 | − | 0.0632111i | ||||
\(260\) | −24.7672 | − | 17.7465i | −1.53600 | − | 1.10059i | ||||
\(261\) | 13.1193 | − | 40.3771i | 0.812065 | − | 2.49928i | ||||
\(262\) | −2.36940 | − | 5.32175i | −0.146382 | − | 0.328779i | ||||
\(263\) | −9.54156 | − | 10.5970i | −0.588358 | − | 0.653437i | 0.373293 | − | 0.927713i | \(-0.378228\pi\) |
−0.961651 | + | 0.274276i | \(0.911562\pi\) | |||||||
\(264\) | 28.0793 | − | 5.96844i | 1.72816 | − | 0.367332i | ||||
\(265\) | −3.41357 | + | 4.69837i | −0.209694 | + | 0.288619i | ||||
\(266\) | −1.12507 | − | 5.29304i | −0.0689825 | − | 0.324537i | ||||
\(267\) | 7.11958 | + | 6.41050i | 0.435711 | + | 0.392316i | ||||
\(268\) | 34.6226 | + | 47.6539i | 2.11491 | + | 2.91093i | ||||
\(269\) | 6.98873 | − | 7.76177i | 0.426110 | − | 0.473243i | −0.491412 | − | 0.870927i | \(-0.663519\pi\) |
0.917523 | + | 0.397684i | \(0.130186\pi\) | |||||||
\(270\) | −21.8997 | + | 9.75037i | −1.33277 | + | 0.593389i | ||||
\(271\) | −5.68963 | − | 12.7791i | −0.345621 | − | 0.776277i | −0.999801 | − | 0.0199383i | \(-0.993653\pi\) |
0.654181 | − | 0.756338i | \(-0.273014\pi\) | |||||||
\(272\) | 29.5451 | − | 21.4658i | 1.79144 | − | 1.30155i | ||||
\(273\) | −4.36938 | − | 39.0946i | −0.264447 | − | 2.36611i | ||||
\(274\) | 9.11111 | 0.550422 | ||||||||
\(275\) | −1.84946 | + | 0.194386i | −0.111527 | + | 0.0117219i | ||||
\(276\) | 0.139031 | + | 0.154409i | 0.00836867 | + | 0.00929435i | ||||
\(277\) | 15.1337 | − | 16.8077i | 0.909295 | − | 1.00987i | −0.0906068 | − | 0.995887i | \(-0.528881\pi\) |
0.999902 | − | 0.0139881i | \(-0.00445270\pi\) | |||||||
\(278\) | − | 6.77572i | − | 0.406381i | ||||||
\(279\) | 4.62422 | + | 25.9154i | 0.276845 | + | 1.55151i | ||||
\(280\) | −37.7413 | + | 21.7900i | −2.25547 | + | 1.30220i | ||||
\(281\) | 2.26273 | − | 0.735205i | 0.134983 | − | 0.0438587i | −0.240746 | − | 0.970588i | \(-0.577392\pi\) |
0.375729 | + | 0.926729i | \(0.377392\pi\) | |||||||
\(282\) | −84.1610 | + | 17.8890i | −5.01171 | + | 1.06527i | ||||
\(283\) | 2.76621 | + | 26.3188i | 0.164434 | + | 1.56449i | 0.696357 | + | 0.717695i | \(0.254803\pi\) |
−0.531923 | + | 0.846793i | \(0.678530\pi\) | |||||||
\(284\) | −17.2837 | − | 9.97878i | −1.02560 | − | 0.592131i | ||||
\(285\) | 3.07251 | 0.182000 | ||||||||
\(286\) | −15.9470 | − | 5.06567i | −0.942963 | − | 0.299539i | ||||
\(287\) | 33.0604 | + | 24.0198i | 1.95150 | + | 1.41784i | ||||
\(288\) | −4.56508 | − | 10.2533i | −0.269000 | − | 0.604184i | ||||
\(289\) | −28.0794 | − | 5.96846i | −1.65173 | − | 0.351086i | ||||
\(290\) | 40.9347 | + | 18.2253i | 2.40377 | + | 1.07023i | ||||
\(291\) | −34.7961 | + | 11.3059i | −2.03978 | + | 0.662765i | ||||
\(292\) | −1.26126 | − | 5.93377i | −0.0738098 | − | 0.347248i | ||||
\(293\) | −26.9360 | − | 2.83109i | −1.57362 | − | 0.165394i | −0.722877 | − | 0.690977i | \(-0.757181\pi\) |
−0.850743 | + | 0.525582i | \(0.823847\pi\) | |||||||
\(294\) | −55.4324 | − | 18.0111i | −3.23288 | − | 1.05043i | ||||
\(295\) | −15.8003 | + | 3.35846i | −0.919930 | + | 0.195537i | ||||
\(296\) | −2.23661 | + | 0.995802i | −0.130000 | + | 0.0578798i | ||||
\(297\) | −6.64005 | + | 5.97873i | −0.385295 | + | 0.346921i | ||||
\(298\) | 3.87782 | + | 11.9347i | 0.224636 | + | 0.691358i | ||||
\(299\) | −0.0136712 | − | 0.0622986i | −0.000790626 | − | 0.00360282i | ||||
\(300\) | 3.62901 | + | 11.1690i | 0.209521 | + | 0.644840i | ||||
\(301\) | −0.726154 | − | 1.63097i | −0.0418548 | − | 0.0940075i | ||||
\(302\) | −5.70181 | + | 2.53861i | −0.328102 | + | 0.146081i | ||||
\(303\) | −2.49873 | − | 1.11251i | −0.143549 | − | 0.0639119i | ||||
\(304\) | 2.98509i | 0.171206i | ||||||||
\(305\) | −5.38975 | + | 3.11178i | −0.308616 | + | 0.178180i | ||||
\(306\) | −32.4386 | + | 72.8582i | −1.85439 | + | 4.16503i | ||||
\(307\) | −5.19666 | − | 1.68850i | −0.296589 | − | 0.0963676i | 0.156943 | − | 0.987608i | \(-0.449836\pi\) |
−0.453532 | + | 0.891240i | \(0.649836\pi\) | |||||||
\(308\) | −20.6380 | + | 22.9208i | −1.17596 | + | 1.30603i | ||||
\(309\) | −15.4892 | + | 26.8282i | −0.881152 | + | 1.52620i | ||||
\(310\) | −27.7124 | + | 1.99477i | −1.57396 | + | 0.113296i | ||||
\(311\) | 0.691238 | 0.0391965 | 0.0195982 | − | 0.999808i | \(-0.493761\pi\) | ||||
0.0195982 | + | 0.999808i | \(0.493761\pi\) | |||||||
\(312\) | −5.45236 | + | 55.3801i | −0.308679 | + | 3.13528i | ||||
\(313\) | 3.88800 | − | 11.9660i | 0.219763 | − | 0.676360i | −0.779019 | − | 0.627001i | \(-0.784282\pi\) |
0.998781 | − | 0.0493588i | \(-0.0157178\pi\) | |||||||
\(314\) | 20.4276 | − | 2.14703i | 1.15280 | − | 0.121164i | ||||
\(315\) | 18.5566 | − | 32.1409i | 1.04554 | − | 1.81094i | ||||
\(316\) | −13.6725 | − | 23.6815i | −0.769139 | − | 1.33219i | ||||
\(317\) | 11.9097 | + | 16.3923i | 0.668917 | + | 0.920685i | 0.999735 | − | 0.0230091i | \(-0.00732467\pi\) |
−0.330818 | + | 0.943695i | \(0.607325\pi\) | |||||||
\(318\) | 20.0298 | + | 2.10521i | 1.12321 | + | 0.118055i | ||||
\(319\) | 16.6099 | + | 1.74577i | 0.929974 | + | 0.0977442i | ||||
\(320\) | −9.28396 | + | 3.01654i | −0.518989 | + | 0.168630i | ||||
\(321\) | 24.5905 | + | 10.9484i | 1.37251 | + | 0.611080i | ||||
\(322\) | −0.169436 | − | 0.0360147i | −0.00944230 | − | 0.00200702i | ||||
\(323\) | 2.77640 | − | 2.49989i | 0.154483 | − | 0.139097i | ||||
\(324\) | −2.83600 | − | 2.06047i | −0.157555 | − | 0.114471i | ||||
\(325\) | 0.726281 | − | 3.53102i | 0.0402868 | − | 0.195866i | ||||
\(326\) | 8.60650 | − | 26.4881i | 0.476670 | − | 1.46704i | ||||
\(327\) | −2.04823 | − | 4.60039i | −0.113267 | − | 0.254402i | ||||
\(328\) | −38.6810 | − | 42.9596i | −2.13580 | − | 2.37204i | ||||
\(329\) | 32.5771 | − | 36.1805i | 1.79603 | − | 1.99470i | ||||
\(330\) | −15.1661 | − | 20.8744i | −0.834867 | − | 1.14910i | ||||
\(331\) | −1.38515 | − | 1.24720i | −0.0761349 | − | 0.0685522i | 0.630185 | − | 0.776445i | \(-0.282979\pi\) |
−0.706320 | + | 0.707893i | \(0.749646\pi\) | |||||||
\(332\) | 36.0261 | + | 3.78650i | 1.97719 | + | 0.207811i | ||||
\(333\) | 1.22552 | − | 1.68678i | 0.0671580 | − | 0.0924350i | ||||
\(334\) | 46.5572 | + | 20.7286i | 2.54750 | + | 1.13422i | ||||
\(335\) | 13.9414 | − | 24.1471i | 0.761697 | − | 1.31930i | ||||
\(336\) | 51.0398 | + | 29.4679i | 2.78445 | + | 1.60760i | ||||
\(337\) | 11.4885 | − | 8.34687i | 0.625818 | − | 0.454683i | −0.229131 | − | 0.973396i | \(-0.573588\pi\) |
0.854949 | + | 0.518712i | \(0.173588\pi\) | |||||||
\(338\) | 18.7179 | − | 26.4895i | 1.01812 | − | 1.44084i | ||||
\(339\) | 14.4265 | + | 44.4001i | 0.783538 | + | 2.41148i | ||||
\(340\) | −49.4772 | − | 28.5657i | −2.68328 | − | 1.54919i | ||||
\(341\) | −9.59383 | + | 3.89899i | −0.519535 | + | 0.211142i | ||||
\(342\) | −3.25947 | − | 5.64558i | −0.176252 | − | 0.305278i | ||||
\(343\) | 5.23768 | − | 1.70183i | 0.282808 | − | 0.0918900i | ||||
\(344\) | 0.525085 | + | 2.47033i | 0.0283107 | + | 0.133191i | ||||
\(345\) | 0.0400044 | − | 0.0898513i | 0.00215376 | − | 0.00483743i | ||||
\(346\) | 4.01271i | 0.215724i | ||||||||
\(347\) | −14.7861 | − | 25.6104i | −0.793762 | − | 1.37484i | −0.923622 | − | 0.383304i | \(-0.874786\pi\) |
0.129861 | − | 0.991532i | \(-0.458547\pi\) | |||||||
\(348\) | −11.0246 | − | 104.892i | −0.590978 | − | 5.62278i | ||||
\(349\) | −0.861306 | − | 1.93452i | −0.0461046 | − | 0.103553i | 0.889025 | − | 0.457859i | \(-0.151384\pi\) |
−0.935129 | + | 0.354307i | \(0.884717\pi\) | |||||||
\(350\) | −7.92073 | − | 5.75475i | −0.423381 | − | 0.307604i | ||||
\(351\) | −7.14895 | − | 15.7765i | −0.381583 | − | 0.842086i | ||||
\(352\) | 3.57203 | − | 2.59523i | 0.190390 | − | 0.138326i | ||||
\(353\) | −5.40920 | + | 25.4483i | −0.287903 | + | 1.35448i | 0.561826 | + | 0.827255i | \(0.310099\pi\) |
−0.849729 | + | 0.527220i | \(0.823234\pi\) | |||||||
\(354\) | 37.4838 | + | 41.6300i | 1.99224 | + | 2.21261i | ||||
\(355\) | −0.987497 | + | 9.39541i | −0.0524109 | + | 0.498656i | ||||
\(356\) | 13.8483 | + | 4.49960i | 0.733960 | + | 0.238478i | ||||
\(357\) | −15.3359 | − | 72.1498i | −0.811663 | − | 3.81857i | ||||
\(358\) | 10.7381 | + | 1.12862i | 0.567527 | + | 0.0596495i | ||||
\(359\) | 8.76701 | + | 2.84858i | 0.462705 | + | 0.150342i | 0.531087 | − | 0.847317i | \(-0.321784\pi\) |
−0.0683820 | + | 0.997659i | \(0.521784\pi\) | |||||||
\(360\) | −35.1297 | + | 39.0154i | −1.85150 | + | 2.05629i | ||||
\(361\) | −1.95412 | − | 18.5922i | −0.102848 | − | 0.978537i | ||||
\(362\) | −1.42920 | + | 6.72385i | −0.0751170 | + | 0.353398i | ||||
\(363\) | 16.9588 | + | 12.3213i | 0.890104 | + | 0.646699i | ||||
\(364\) | −30.2348 | − | 51.5811i | −1.58473 | − | 2.70358i | ||||
\(365\) | −2.32315 | + | 1.68787i | −0.121599 | + | 0.0883472i | ||||
\(366\) | 18.6914 | + | 10.7915i | 0.977013 | + | 0.564079i | ||||
\(367\) | 8.51942 | − | 14.7561i | 0.444710 | − | 0.770261i | −0.553322 | − | 0.832968i | \(-0.686640\pi\) |
0.998032 | + | 0.0627069i | \(0.0199733\pi\) | |||||||
\(368\) | 0.0872946 | + | 0.0388661i | 0.00455055 | + | 0.00202603i | ||||
\(369\) | 46.8203 | + | 15.2128i | 2.43737 | + | 0.791948i | ||||
\(370\) | 1.63534 | + | 1.47246i | 0.0850171 | + | 0.0765498i | ||||
\(371\) | −9.86932 | + | 5.69805i | −0.512389 | + | 0.295828i | ||||
\(372\) | 36.6806 | + | 54.1421i | 1.90180 | + | 2.80714i | ||||
\(373\) | 2.87968 | + | 4.98775i | 0.149104 | + | 0.258256i | 0.930897 | − | 0.365283i | \(-0.119028\pi\) |
−0.781792 | + | 0.623539i | \(0.785694\pi\) | |||||||
\(374\) | −30.6885 | − | 6.52304i | −1.58686 | − | 0.337298i | ||||
\(375\) | 24.7906 | − | 22.3215i | 1.28018 | − | 1.15268i | ||||
\(376\) | −55.7178 | + | 40.4814i | −2.87343 | + | 2.08767i | ||||
\(377\) | −12.9734 | + | 29.6626i | −0.668163 | + | 1.52770i | ||||
\(378\) | −47.0408 | −2.41952 | ||||||||
\(379\) | 13.5190 | − | 1.42090i | 0.694424 | − | 0.0729869i | 0.249261 | − | 0.968436i | \(-0.419812\pi\) |
0.445163 | + | 0.895449i | \(0.353146\pi\) | |||||||
\(380\) | 4.26613 | − | 1.89940i | 0.218848 | − | 0.0974373i | ||||
\(381\) | −3.07120 | + | 29.2205i | −0.157342 | + | 1.49701i | ||||
\(382\) | 34.7590 | − | 11.2939i | 1.77842 | − | 0.577845i | ||||
\(383\) | 11.4546 | − | 25.7275i | 0.585304 | − | 1.31462i | −0.341786 | − | 0.939778i | \(-0.611032\pi\) |
0.927091 | − | 0.374837i | \(-0.122301\pi\) | |||||||
\(384\) | 34.9660 | + | 31.4835i | 1.78435 | + | 1.60664i | ||||
\(385\) | 13.8853 | + | 4.51162i | 0.707663 | + | 0.229934i | ||||
\(386\) | −6.29521 | + | 59.8949i | −0.320418 | + | 3.04857i | ||||
\(387\) | −1.43914 | − | 1.59833i | −0.0731556 | − | 0.0812475i | ||||
\(388\) | −41.3245 | + | 37.2087i | −2.09793 | + | 1.88899i | ||||
\(389\) | −17.2073 | − | 12.5018i | −0.872446 | − | 0.633869i | 0.0587964 | − | 0.998270i | \(-0.481274\pi\) |
−0.931242 | + | 0.364401i | \(0.881274\pi\) | |||||||
\(390\) | 47.4667 | − | 15.7691i | 2.40357 | − | 0.798497i | ||||
\(391\) | −0.0369566 | − | 0.113741i | −0.00186898 | − | 0.00575212i | ||||
\(392\) | −46.3983 | + | 4.87665i | −2.34347 | + | 0.246308i | ||||
\(393\) | 6.34874 | + | 1.34947i | 0.320252 | + | 0.0680716i | ||||
\(394\) | 6.02945 | − | 57.3664i | 0.303759 | − | 2.89008i | ||||
\(395\) | −7.60835 | + | 10.4720i | −0.382818 | + | 0.526904i | ||||
\(396\) | −15.1128 | + | 33.9440i | −0.759449 | + | 1.70575i | ||||
\(397\) | −4.93918 | + | 2.85164i | −0.247890 | + | 0.143120i | −0.618798 | − | 0.785550i | \(-0.712380\pi\) |
0.370907 | + | 0.928670i | \(0.379047\pi\) | |||||||
\(398\) | − | 0.298524i | − | 0.0149636i | ||||||
\(399\) | 5.50795 | + | 2.45230i | 0.275743 | + | 0.122768i | ||||
\(400\) | 3.61389 | + | 4.01363i | 0.180694 | + | 0.200681i | ||||
\(401\) | −6.29043 | + | 29.5942i | −0.314129 | + | 1.47786i | 0.483836 | + | 0.875159i | \(0.339243\pi\) |
−0.797965 | + | 0.602703i | \(0.794090\pi\) | |||||||
\(402\) | −96.6956 | −4.82274 | ||||||||
\(403\) | −1.57306 | − | 20.0131i | −0.0783596 | − | 0.996925i | ||||
\(404\) | −4.15719 | −0.206828 | ||||||||
\(405\) | −0.345001 | + | 1.62310i | −0.0171433 | + | 0.0806527i | ||||
\(406\) | 58.8354 | + | 65.3434i | 2.91995 | + | 3.24294i | ||||
\(407\) | 0.749297 | + | 0.333608i | 0.0371413 | + | 0.0165364i | ||||
\(408\) | 104.344i | 5.16579i | ||||||||
\(409\) | −27.2208 | + | 15.7159i | −1.34598 | + | 0.777103i | −0.987678 | − | 0.156502i | \(-0.949978\pi\) |
−0.358304 | + | 0.933605i | \(0.616645\pi\) | |||||||
\(410\) | −21.1336 | + | 47.4669i | −1.04371 | + | 2.34422i | ||||
\(411\) | −5.96690 | + | 8.21274i | −0.294326 | + | 0.405104i | ||||
\(412\) | −4.92159 | + | 46.8258i | −0.242469 | + | 2.30694i | ||||
\(413\) | −31.0050 | − | 6.59032i | −1.52566 | − | 0.324289i | ||||
\(414\) | −0.207536 | + | 0.0218129i | −0.0101998 | + | 0.00107204i | ||||
\(415\) | −5.29882 | − | 16.3081i | −0.260109 | − | 0.800533i | ||||
\(416\) | 2.69841 | + | 8.12253i | 0.132300 | + | 0.398240i | ||||
\(417\) | 6.10763 | + | 4.43745i | 0.299092 | + | 0.217303i | ||||
\(418\) | 1.90578 | − | 1.71598i | 0.0932150 | − | 0.0839311i | ||||
\(419\) | 12.1791 | + | 13.5262i | 0.594986 | + | 0.660799i | 0.963151 | − | 0.268962i | \(-0.0866805\pi\) |
−0.368165 | + | 0.929761i | \(0.620014\pi\) | |||||||
\(420\) | 9.63740 | − | 91.6938i | 0.470257 | − | 4.47420i | ||||
\(421\) | 28.3255 | + | 9.20350i | 1.38050 | + | 0.448551i | 0.902833 | − | 0.429990i | \(-0.141483\pi\) |
0.477666 | + | 0.878542i | \(0.341483\pi\) | |||||||
\(422\) | −28.3674 | − | 25.5421i | −1.38090 | − | 1.24337i | ||||
\(423\) | 23.8556 | − | 53.5807i | 1.15990 | − | 2.60518i | ||||
\(424\) | 15.3320 | − | 4.98166i | 0.744587 | − | 0.241931i | ||||
\(425\) | 0.706563 | − | 6.72249i | 0.0342733 | − | 0.326089i | ||||
\(426\) | 29.9298 | − | 13.3256i | 1.45010 | − | 0.645627i | ||||
\(427\) | −12.1456 | + | 1.27655i | −0.587767 | + | 0.0617768i | ||||
\(428\) | 40.9117 | 1.97754 | ||||||||
\(429\) | 15.0099 | − | 11.0570i | 0.724685 | − | 0.533838i | ||||
\(430\) | 1.83647 | − | 1.33427i | 0.0885622 | − | 0.0643442i | ||||
\(431\) | 15.6400 | − | 14.0824i | 0.753355 | − | 0.678324i | −0.200129 | − | 0.979770i | \(-0.564136\pi\) |
0.953483 | + | 0.301446i | \(0.0974693\pi\) | |||||||
\(432\) | 25.3825 | + | 5.39522i | 1.22122 | + | 0.259578i | ||||
\(433\) | 13.8252 | + | 23.9460i | 0.664397 | + | 1.15077i | 0.979448 | + | 0.201695i | \(0.0646450\pi\) |
−0.315051 | + | 0.949075i | \(0.602022\pi\) | |||||||
\(434\) | −51.2709 | − | 18.5425i | −2.46108 | − | 0.890067i | ||||
\(435\) | −43.2366 | + | 24.9626i | −2.07304 | + | 1.19687i | ||||
\(436\) | −5.68785 | − | 5.12137i | −0.272399 | − | 0.245269i | ||||
\(437\) | 0.00929705 | + | 0.00302079i | 0.000444738 | + | 0.000144504i | ||||
\(438\) | 9.09751 | + | 4.05047i | 0.434696 | + | 0.193539i | ||||
\(439\) | 0.190369 | − | 0.329729i | 0.00908581 | − | 0.0157371i | −0.861447 | − | 0.507848i | \(-0.830441\pi\) |
0.870533 | + | 0.492111i | \(0.163775\pi\) | |||||||
\(440\) | −17.8861 | − | 10.3266i | −0.852688 | − | 0.492300i | ||||
\(441\) | 32.1430 | − | 23.3532i | 1.53062 | − | 1.11206i | ||||
\(442\) | 30.0620 | − | 52.8696i | 1.42990 | − | 2.51475i | ||||
\(443\) | −18.9303 | − | 13.7537i | −0.899406 | − | 0.653457i | 0.0389070 | − | 0.999243i | \(-0.487612\pi\) |
−0.938313 | + | 0.345786i | \(0.887612\pi\) | |||||||
\(444\) | 1.07691 | − | 5.06644i | 0.0511077 | − | 0.240443i | ||||
\(445\) | −0.720477 | − | 6.85488i | −0.0341539 | − | 0.324952i | ||||
\(446\) | −43.7497 | + | 48.5890i | −2.07161 | + | 2.30076i | ||||
\(447\) | −13.2975 | − | 4.32062i | −0.628950 | − | 0.204358i | ||||
\(448\) | −19.0506 | − | 2.00229i | −0.900054 | − | 0.0945995i | ||||
\(449\) | 0.265575 | + | 1.24943i | 0.0125332 | + | 0.0589643i | 0.983970 | − | 0.178335i | \(-0.0570711\pi\) |
−0.971437 | + | 0.237299i | \(0.923738\pi\) | |||||||
\(450\) | −11.2174 | − | 3.64474i | −0.528792 | − | 0.171815i | ||||
\(451\) | −2.02435 | + | 19.2604i | −0.0953228 | + | 0.906936i | ||||
\(452\) | 47.4787 | + | 52.7304i | 2.23321 | + | 2.48023i | ||||
\(453\) | 1.44584 | − | 6.80215i | 0.0679316 | − | 0.319593i | ||||
\(454\) | −34.0138 | + | 24.7125i | −1.59635 | + | 1.15981i | ||||
\(455\) | −16.4844 | + | 23.0058i | −0.772801 | + | 1.07853i | ||||
\(456\) | −6.90006 | − | 5.01319i | −0.323125 | − | 0.234764i | ||||
\(457\) | 5.89369 | + | 13.2374i | 0.275695 | + | 0.619221i | 0.997328 | − | 0.0730547i | \(-0.0232748\pi\) |
−0.721633 | + | 0.692276i | \(0.756608\pi\) | |||||||
\(458\) | 2.27391 | + | 21.6348i | 0.106253 | + | 1.01093i | ||||
\(459\) | −16.2387 | − | 28.1263i | −0.757960 | − | 1.31283i | ||||
\(460\) | − | 0.149487i | − | 0.00696988i | ||||||
\(461\) | 4.29713 | − | 9.65151i | 0.200137 | − | 0.449516i | −0.785397 | − | 0.618992i | \(-0.787541\pi\) |
0.985534 | + | 0.169477i | \(0.0542078\pi\) | |||||||
\(462\) | −10.5269 | − | 49.5252i | −0.489756 | − | 2.30412i | ||||
\(463\) | −17.8728 | + | 5.80722i | −0.830619 | + | 0.269885i | −0.693306 | − | 0.720643i | \(-0.743847\pi\) |
−0.137313 | + | 0.990528i | \(0.543847\pi\) | |||||||
\(464\) | −24.2524 | − | 42.0063i | −1.12589 | − | 1.95010i | ||||
\(465\) | 16.3509 | − | 26.2863i | 0.758253 | − | 1.21900i | ||||
\(466\) | −29.5670 | − | 17.0705i | −1.36967 | − | 0.790778i | ||||
\(467\) | −4.81555 | − | 14.8207i | −0.222837 | − | 0.685822i | −0.998504 | − | 0.0546795i | \(-0.982586\pi\) |
0.775667 | − | 0.631143i | \(-0.217414\pi\) | |||||||
\(468\) | −53.8431 | − | 47.8425i | −2.48890 | − | 2.21152i | ||||
\(469\) | 44.2649 | − | 32.1603i | 2.04396 | − | 1.48502i | ||||
\(470\) | 53.6094 | + | 30.9514i | 2.47282 | + | 1.42768i | ||||
\(471\) | −11.4428 | + | 19.8195i | −0.527256 | + | 0.913235i | ||||
\(472\) | 40.9632 | + | 18.2380i | 1.88548 | + | 0.839471i | ||||
\(473\) | 0.497317 | − | 0.684499i | 0.0228667 | − | 0.0314733i | ||||
\(474\) | 44.6435 | + | 4.69222i | 2.05054 | + | 0.215521i | ||||
\(475\) | 0.410600 | + | 0.369706i | 0.0188396 | + | 0.0169633i | ||||
\(476\) | −65.8961 | − | 90.6982i | −3.02034 | − | 4.15715i | ||||
\(477\) | −9.18637 | + | 10.2025i | −0.420615 | + | 0.467140i | ||||
\(478\) | 17.9003 | + | 19.8802i | 0.818738 | + | 0.909301i | ||||
\(479\) | 16.1992 | + | 36.3841i | 0.740162 | + | 1.66243i | 0.749087 | + | 0.662471i | \(0.230492\pi\) |
−0.00892542 | + | 0.999960i | \(0.502841\pi\) | |||||||
\(480\) | −4.07858 | + | 12.5526i | −0.186161 | + | 0.572945i | ||||
\(481\) | −1.05610 | + | 1.18856i | −0.0481540 | + | 0.0541936i | ||||
\(482\) | −50.3164 | − | 36.5570i | −2.29185 | − | 1.66513i | ||||
\(483\) | 0.143428 | − | 0.129143i | 0.00652620 | − | 0.00587622i | ||||
\(484\) | 31.1639 | + | 6.62408i | 1.41654 | + | 0.301095i | ||||
\(485\) | 24.0468 | + | 10.7063i | 1.09191 | + | 0.486150i | ||||
\(486\) | 39.6706 | − | 12.8897i | 1.79949 | − | 0.584691i | ||||
\(487\) | 0.289580 | + | 0.0304361i | 0.0131221 | + | 0.00137919i | 0.111087 | − | 0.993811i | \(-0.464567\pi\) |
−0.0979651 | + | 0.995190i | \(0.531233\pi\) | |||||||
\(488\) | 17.1812 | + | 1.80582i | 0.777759 | + | 0.0817457i | ||||
\(489\) | 18.2399 | + | 25.1051i | 0.824836 | + | 1.13529i | ||||
\(490\) | 20.9668 | + | 36.3155i | 0.947181 | + | 1.64057i | ||||
\(491\) | 16.5390 | − | 28.6464i | 0.746395 | − | 1.29279i | −0.203145 | − | 0.979149i | \(-0.565116\pi\) |
0.949540 | − | 0.313646i | \(-0.101550\pi\) | |||||||
\(492\) | 121.630 | − | 12.7838i | 5.48349 | − | 0.576338i | ||||
\(493\) | −18.7594 | + | 57.7355i | −0.844881 | + | 2.60027i | ||||
\(494\) | 2.05185 | + | 4.52807i | 0.0923169 | + | 0.203727i | ||||
\(495\) | 17.5884 | 0.790541 | ||||||||
\(496\) | 25.5383 | + | 15.8856i | 1.14671 | + | 0.713286i | ||||
\(497\) | −9.26911 | + | 16.0546i | −0.415776 | + | 0.720146i | ||||
\(498\) | −39.7905 | + | 44.1919i | −1.78306 | + | 1.98029i | ||||
\(499\) | −18.7104 | − | 6.07937i | −0.837591 | − | 0.272150i | −0.141352 | − | 0.989959i | \(-0.545145\pi\) |
−0.696239 | + | 0.717810i | \(0.745145\pi\) | |||||||
\(500\) | 20.6223 | − | 46.3184i | 0.922257 | − | 2.07142i | ||||
\(501\) | −49.1752 | + | 28.3913i | −2.19699 | + | 1.26843i | ||||
\(502\) | − | 37.2857i | − | 1.66414i | ||||||
\(503\) | −12.6189 | − | 5.61831i | −0.562650 | − | 0.250508i | 0.105645 | − | 0.994404i | \(-0.466309\pi\) |
−0.668296 | + | 0.743896i | \(0.732976\pi\) | |||||||
\(504\) | −94.1152 | + | 41.9028i | −4.19222 | + | 1.86650i | ||||
\(505\) | 0.800401 | + | 1.79773i | 0.0356174 | + | 0.0799979i | ||||
\(506\) | −0.0253678 | − | 0.0780741i | −0.00112774 | − | 0.00347082i | ||||
\(507\) | 11.6191 | + | 34.2204i | 0.516024 | + | 1.51978i | ||||
\(508\) | 13.7996 | + | 42.4707i | 0.612257 | + | 1.88433i | ||||
\(509\) | −23.2312 | + | 20.9174i | −1.02970 | + | 0.927149i | −0.997381 | − | 0.0723289i | \(-0.976957\pi\) |
−0.0323220 | + | 0.999478i | \(0.510290\pi\) | |||||||
\(510\) | 85.6782 | − | 38.1464i | 3.79390 | − | 1.68915i | ||||
\(511\) | −5.51177 | + | 1.17156i | −0.243827 | + | 0.0518269i | ||||
\(512\) | 44.8493 | + | 14.5724i | 1.98208 | + | 0.644016i | ||||
\(513\) | 2.64013 | + | 0.277489i | 0.116565 | + | 0.0122515i | ||||
\(514\) | −7.49880 | − | 35.2791i | −0.330758 | − | 1.55609i | ||||
\(515\) | 21.1968 | − | 6.88726i | 0.934043 | − | 0.303489i | ||||
\(516\) | −4.88113 | − | 2.17322i | −0.214880 | − | 0.0956706i | ||||
\(517\) | 22.5686 | + | 4.79711i | 0.992567 | + | 0.210977i | ||||
\(518\) | 1.75636 | + | 3.94485i | 0.0771700 | + | 0.173327i | ||||
\(519\) | −3.61705 | − | 2.62794i | −0.158771 | − | 0.115354i | ||||
\(520\) | 29.5757 | − | 26.9847i | 1.29698 | − | 1.18336i | ||||
\(521\) | −6.91366 | −0.302893 | −0.151447 | − | 0.988465i | \(-0.548393\pi\) | ||||
−0.151447 | + | 0.988465i | \(0.548393\pi\) | |||||||
\(522\) | 91.7351 | + | 52.9633i | 4.01514 | + | 2.31814i | ||||
\(523\) | −0.476199 | − | 4.53073i | −0.0208227 | − | 0.198115i | 0.979165 | − | 0.203066i | \(-0.0650907\pi\) |
−0.999988 | + | 0.00495111i | \(0.998424\pi\) | |||||||
\(524\) | 9.64935 | − | 2.05103i | 0.421534 | − | 0.0895998i | ||||
\(525\) | 10.3746 | − | 3.37093i | 0.452787 | − | 0.147119i | ||||
\(526\) | 30.8116 | − | 17.7891i | 1.34345 | − | 0.775642i | ||||
\(527\) | −6.61220 | − | 37.0565i | −0.288032 | − | 1.61421i | ||||
\(528\) | 27.9305i | 1.21552i | ||||||||
\(529\) | −15.3898 | + | 17.0921i | −0.669122 | + | 0.743135i | ||||
\(530\) | −9.69565 | − | 10.7681i | −0.421152 | − | 0.467737i | ||||
\(531\) | −37.9768 | + | 3.99153i | −1.64805 | + | 0.173218i | ||||
\(532\) | 9.16369 | 0.397296 | ||||||||
\(533\) | −34.3960 | − | 15.0436i | −1.48986 | − | 0.651611i | ||||
\(534\) | −19.3381 | + | 14.0500i | −0.836843 | + | 0.608002i | ||||
\(535\) | −7.87689 | − | 17.6918i | −0.340548 | − | 0.764883i | ||||
\(536\) | −70.7078 | + | 31.4811i | −3.05411 | + | 1.35978i | ||||
\(537\) | −8.04978 | + | 8.94018i | −0.347374 | + | 0.385797i | ||||
\(538\) | 15.3173 | + | 21.0824i | 0.660375 | + | 0.908929i | ||||
\(539\) | 11.6151 | + | 10.4583i | 0.500300 | + | 0.450472i | ||||
\(540\) | −8.44026 | − | 39.7083i | −0.363211 | − | 1.70877i | ||||
\(541\) | −0.333172 | + | 0.458571i | −0.0143242 | + | 0.0197155i | −0.816119 | − | 0.577884i | \(-0.803879\pi\) |
0.801795 | + | 0.597599i | \(0.203879\pi\) | |||||||
\(542\) | 34.1390 | − | 7.25648i | 1.46640 | − | 0.311692i | ||||
\(543\) | −5.12488 | − | 5.69176i | −0.219930 | − | 0.244257i | ||||
\(544\) | 6.52764 | + | 14.6613i | 0.279870 | + | 0.628599i | ||||
\(545\) | −1.11957 | + | 3.44568i | −0.0479571 | + | 0.147597i | ||||
\(546\) | 97.6774 | + | 9.61667i | 4.18020 | + | 0.411555i | ||||
\(547\) | −1.82585 | + | 1.32656i | −0.0780676 | + | 0.0567195i | −0.626135 | − | 0.779715i | \(-0.715364\pi\) |
0.548067 | + | 0.836435i | \(0.315364\pi\) | |||||||
\(548\) | −3.20789 | + | 15.0919i | −0.137034 | + | 0.644696i | ||||
\(549\) | −13.4404 | + | 5.98404i | −0.573622 | + | 0.255393i | ||||
\(550\) | 0.485000 | − | 4.61447i | 0.0206805 | − | 0.196762i | ||||
\(551\) | −2.91665 | − | 4.01442i | −0.124253 | − | 0.171020i | ||||
\(552\) | −0.236443 | + | 0.136510i | −0.0100637 | + | 0.00581027i | ||||
\(553\) | −21.9973 | + | 12.7001i | −0.935420 | + | 0.540065i | ||||
\(554\) | 33.1687 | + | 45.6528i | 1.40920 | + | 1.93960i | ||||
\(555\) | −2.39827 | + | 0.509767i | −0.101801 | + | 0.0216384i | ||||
\(556\) | 11.2235 | + | 2.38563i | 0.475984 | + | 0.101173i | ||||
\(557\) | −15.2158 | − | 8.78487i | −0.644716 | − | 0.372227i | 0.141713 | − | 0.989908i | \(-0.454739\pi\) |
−0.786429 | + | 0.617681i | \(0.788072\pi\) | |||||||
\(558\) | −65.6455 | − | 2.15804i | −2.77899 | − | 0.0913572i | ||||
\(559\) | 0.972765 | + | 1.32053i | 0.0411436 | + | 0.0558524i | ||||
\(560\) | −13.1028 | − | 40.3264i | −0.553696 | − | 1.70410i | ||||
\(561\) | 25.9779 | − | 23.3906i | 1.09679 | − | 0.987552i | ||||
\(562\) | 0.620493 | + | 5.90360i | 0.0261739 | + | 0.249028i | ||||
\(563\) | −1.23839 | − | 2.14495i | −0.0521917 | − | 0.0903987i | 0.838749 | − | 0.544518i | \(-0.183287\pi\) |
−0.890941 | + | 0.454119i | \(0.849954\pi\) | |||||||
\(564\) | − | 145.705i | − | 6.13531i | ||||||
\(565\) | 13.6614 | − | 30.6840i | 0.574739 | − | 1.29089i | ||||
\(566\) | −65.6661 | − | 6.90179i | −2.76015 | − | 0.290104i | ||||
\(567\) | −1.91393 | + | 2.63430i | −0.0803777 | + | 0.110630i | ||||
\(568\) | 17.5475 | − | 19.4884i | 0.736275 | − | 0.817716i | ||||
\(569\) | −2.17372 | − | 20.6816i | −0.0911273 | − | 0.867018i | −0.940630 | − | 0.339434i | \(-0.889765\pi\) |
0.849503 | − | 0.527584i | \(-0.176902\pi\) | |||||||
\(570\) | −1.59385 | + | 7.49849i | −0.0667592 | + | 0.314077i | ||||
\(571\) | −0.416425 | + | 1.28162i | −0.0174268 | + | 0.0536343i | −0.959392 | − | 0.282077i | \(-0.908977\pi\) |
0.941965 | + | 0.335711i | \(0.108977\pi\) | |||||||
\(572\) | 14.0056 | − | 24.6315i | 0.585605 | − | 1.02989i | ||||
\(573\) | −12.5835 | + | 38.7281i | −0.525684 | + | 1.61789i | ||||
\(574\) | −75.7705 | + | 68.2241i | −3.16260 | + | 2.84762i | ||||
\(575\) | 0.0161576 | − | 0.00719381i | 0.000673817 | − | 0.000300003i | ||||
\(576\) | −22.5722 | + | 4.79787i | −0.940509 | + | 0.199911i | ||||
\(577\) | −6.98752 | + | 2.27038i | −0.290894 | + | 0.0945173i | −0.450829 | − | 0.892610i | \(-0.648872\pi\) |
0.159935 | + | 0.987128i | \(0.448872\pi\) | |||||||
\(578\) | 29.1322 | − | 65.4319i | 1.21174 | − | 2.72161i | ||||
\(579\) | −49.8664 | − | 44.8999i | −2.07238 | − | 1.86598i | ||||
\(580\) | −44.6015 | + | 61.3887i | −1.85198 | + | 2.54903i | ||||
\(581\) | 3.51721 | − | 33.4640i | 0.145918 | − | 1.38832i | ||||
\(582\) | −9.54189 | − | 90.7850i | −0.395524 | − | 3.76316i | ||||
\(583\) | −4.67721 | − | 2.70039i | −0.193710 | − | 0.111839i | ||||
\(584\) | 7.97118 | 0.329850 | ||||||||
\(585\) | −10.3223 | + | 32.4951i | −0.426776 | + | 1.34351i | ||||
\(586\) | 20.8823 | − | 64.2690i | 0.862639 | − | 2.65493i | ||||
\(587\) | −1.98791 | + | 9.35237i | −0.0820498 | + | 0.386014i | −0.999941 | − | 0.0108171i | \(-0.996557\pi\) |
0.917892 | + | 0.396831i | \(0.129890\pi\) | |||||||
\(588\) | 49.3510 | − | 85.4785i | 2.03520 | − | 3.52507i | ||||
\(589\) | 2.76817 | + | 1.34313i | 0.114060 | + | 0.0553426i | ||||
\(590\) | − | 40.3030i | − | 1.65925i | ||||||
\(591\) | 47.7613 | + | 43.0044i | 1.96464 | + | 1.76897i | ||||
\(592\) | −0.495262 | − | 2.33003i | −0.0203552 | − | 0.0957635i | ||||
\(593\) | −3.82836 | − | 5.26928i | −0.157212 | − | 0.216383i | 0.723144 | − | 0.690697i | \(-0.242696\pi\) |
−0.880356 | + | 0.474314i | \(0.842696\pi\) | |||||||
\(594\) | −11.1466 | − | 19.3065i | −0.457352 | − | 0.792157i | ||||
\(595\) | −26.5341 | + | 45.9585i | −1.08779 | + | 1.88411i | ||||
\(596\) | −21.1343 | + | 2.22131i | −0.865696 | + | 0.0909883i | ||||
\(597\) | 0.269089 | + | 0.195504i | 0.0110131 | + | 0.00800146i | ||||
\(598\) | 0.159132 | − | 0.00104752i | 0.00650740 | − | 4.28362e-5i | ||||
\(599\) | 11.9011 | + | 36.6277i | 0.486265 | + | 1.49657i | 0.830141 | + | 0.557554i | \(0.188260\pi\) |
−0.343876 | + | 0.939015i | \(0.611740\pi\) | |||||||
\(600\) | −15.3468 | + | 1.61301i | −0.626529 | + | 0.0658508i | ||||
\(601\) | −15.3661 | − | 3.26616i | −0.626794 | − | 0.133229i | −0.116446 | − | 0.993197i | \(-0.537150\pi\) |
−0.510348 | + | 0.859968i | \(0.670484\pi\) | |||||||
\(602\) | 4.35708 | − | 0.926127i | 0.177582 | − | 0.0377461i | ||||
\(603\) | 38.7433 | − | 53.3256i | 1.57775 | − | 2.17159i | ||||
\(604\) | −2.19751 | − | 10.3385i | −0.0894155 | − | 0.420667i | ||||
\(605\) | −3.13559 | − | 14.7518i | −0.127480 | − | 0.599746i | ||||
\(606\) | 4.01130 | − | 5.52107i | 0.162948 | − | 0.224278i | ||||
\(607\) | 14.0209 | − | 2.98023i | 0.569090 | − | 0.120964i | 0.0856250 | − | 0.996327i | \(-0.472711\pi\) |
0.483465 | + | 0.875364i | \(0.339378\pi\) | |||||||
\(608\) | −1.28315 | − | 0.272741i | −0.0520385 | − | 0.0110611i | ||||
\(609\) | −97.4320 | + | 10.2405i | −3.94814 | + | 0.414967i | ||||
\(610\) | −4.79840 | − | 14.7680i | −0.194282 | − | 0.597937i | ||||
\(611\) | −22.1079 | + | 38.8808i | −0.894390 | + | 1.57295i | ||||
\(612\) | −109.264 | − | 79.3846i | −4.41672 | − | 3.20893i | ||||
\(613\) | 20.3014 | − | 2.13376i | 0.819965 | − | 0.0861818i | 0.314749 | − | 0.949175i | \(-0.398080\pi\) |
0.505216 | + | 0.862993i | \(0.331413\pi\) | |||||||
\(614\) | 6.81654 | − | 11.8066i | 0.275093 | − | 0.476475i | ||||
\(615\) | −28.9461 | − | 50.1360i | −1.16722 | − | 2.02168i | ||||
\(616\) | −23.8216 | − | 32.7876i | −0.959800 | − | 1.32105i | ||||
\(617\) | 7.19059 | + | 33.8291i | 0.289482 | + | 1.36191i | 0.846934 | + | 0.531698i | \(0.178446\pi\) |
−0.557452 | + | 0.830209i | \(0.688221\pi\) | |||||||
\(618\) | −57.4394 | − | 51.7186i | −2.31055 | − | 2.08043i | ||||
\(619\) | − | 25.1787i | − | 1.01202i | −0.862528 | − | 0.506009i | \(-0.831120\pi\) | ||
0.862528 | − | 0.506009i | \(-0.168880\pi\) | |||||||
\(620\) | 6.45292 | − | 46.6060i | 0.259156 | − | 1.87174i | ||||
\(621\) | 0.0424896 | − | 0.0735941i | 0.00170505 | − | 0.00295323i | ||||
\(622\) | −0.358577 | + | 1.68697i | −0.0143776 | + | 0.0676414i | ||||
\(623\) | 4.17959 | − | 12.8635i | 0.167452 | − | 0.515364i | ||||
\(624\) | −51.6023 | − | 16.3919i | −2.06575 | − | 0.656200i | ||||
\(625\) | −19.0012 | −0.760048 | ||||||||
\(626\) | 27.1863 | + | 15.6960i | 1.08658 | + | 0.627339i | ||||
\(627\) | 0.298672 | + | 2.84167i | 0.0119278 | + | 0.113485i | ||||
\(628\) | −3.63586 | + | 34.5929i | −0.145087 | + | 1.38041i | ||||
\(629\) | −1.75238 | + | 2.41194i | −0.0698718 | + | 0.0961703i | ||||
\(630\) | 68.8140 | + | 61.9604i | 2.74162 | + | 2.46856i | ||||
\(631\) | 9.99156 | − | 22.4414i | 0.397758 | − | 0.893378i | −0.598012 | − | 0.801488i | \(-0.704042\pi\) |
0.995769 | − | 0.0918906i | \(-0.0292910\pi\) | |||||||
\(632\) | 34.1728 | − | 11.1034i | 1.35932 | − | 0.441670i | ||||
\(633\) | 41.6016 | − | 8.84269i | 1.65351 | − | 0.351465i | ||||
\(634\) | −46.1838 | + | 20.5623i | −1.83419 | + | 0.816635i | ||||
\(635\) | 15.7091 | − | 14.1445i | 0.623396 | − | 0.561308i | ||||
\(636\) | −10.5393 | + | 32.4368i | −0.417912 | + | 1.28620i | ||||
\(637\) | −26.1388 | + | 15.3215i | −1.03566 | + | 0.607061i | ||||
\(638\) | −12.8769 | + | 39.6309i | −0.509800 | + | 1.56900i | ||||
\(639\) | −4.64326 | + | 21.8448i | −0.183685 | + | 0.864169i | ||||
\(640\) | −3.53844 | − | 33.6660i | −0.139869 | − | 1.33076i | ||||
\(641\) | −3.48080 | + | 3.86583i | −0.137484 | + | 0.152691i | −0.807955 | − | 0.589245i | \(-0.799425\pi\) |
0.670471 | + | 0.741936i | \(0.266092\pi\) | |||||||
\(642\) | −39.4759 | + | 54.3339i | −1.55799 | + | 2.14439i | ||||
\(643\) | 24.0521 | + | 2.52798i | 0.948523 | + | 0.0996938i | 0.566139 | − | 0.824310i | \(-0.308436\pi\) |
0.382384 | + | 0.924003i | \(0.375103\pi\) | |||||||
\(644\) | 0.119312 | − | 0.267979i | 0.00470155 | − | 0.0105599i | ||||
\(645\) | 2.52921i | 0.0995874i | ||||||||
\(646\) | 4.66074 | + | 8.07264i | 0.183374 | + | 0.317614i | ||||
\(647\) | 4.66633 | + | 44.3972i | 0.183452 | + | 1.74543i | 0.568632 | + | 0.822592i | \(0.307473\pi\) |
−0.385180 | + | 0.922842i | \(0.625861\pi\) | |||||||
\(648\) | 3.42308 | − | 3.08216i | 0.134471 | − | 0.121079i | ||||
\(649\) | −4.64205 | − | 14.2868i | −0.182216 | − | 0.560804i | ||||
\(650\) | 8.24072 | + | 3.60420i | 0.323228 | + | 0.141368i | ||||
\(651\) | 50.2916 | − | 34.0719i | 1.97108 | − | 1.33538i | ||||
\(652\) | 40.8455 | + | 23.5822i | 1.59963 | + | 0.923549i | ||||
\(653\) | 5.01377 | + | 1.06571i | 0.196204 | + | 0.0417044i | 0.304965 | − | 0.952363i | \(-0.401355\pi\) |
−0.108761 | + | 0.994068i | \(0.534688\pi\) | |||||||
\(654\) | 12.2898 | − | 2.61228i | 0.480570 | − | 0.102148i | ||||
\(655\) | −2.74477 | − | 3.77785i | −0.107247 | − | 0.147613i | ||||
\(656\) | 48.7095 | − | 28.1224i | 1.90179 | − | 1.09800i | ||||
\(657\) | −5.87888 | + | 3.39417i | −0.229357 | + | 0.132419i | ||||
\(658\) | 71.3996 | + | 98.2731i | 2.78345 | + | 3.83109i | ||||
\(659\) | 3.47161 | − | 33.0301i | 0.135235 | − | 1.28667i | −0.690797 | − | 0.723048i | \(-0.742740\pi\) |
0.826032 | − | 0.563623i | \(-0.190593\pi\) | |||||||
\(660\) | 39.9167 | − | 17.7721i | 1.55376 | − | 0.691777i | ||||
\(661\) | −2.36362 | + | 11.1200i | −0.0919343 | + | 0.432517i | 0.907975 | + | 0.419025i | \(0.137628\pi\) |
−0.999909 | + | 0.0134919i | \(0.995705\pi\) | |||||||
\(662\) | 3.76234 | − | 2.73350i | 0.146227 | − | 0.106240i | ||||
\(663\) | 27.9689 | + | 61.7224i | 1.08622 | + | 2.39710i | ||||
\(664\) | −14.7089 | + | 45.2695i | −0.570818 | + | 1.75680i | ||||
\(665\) | −1.76432 | − | 3.96273i | −0.0684174 | − | 0.153668i | ||||
\(666\) | 3.48087 | + | 3.86590i | 0.134881 | + | 0.149801i | ||||
\(667\) | −0.155371 | + | 0.0330252i | −0.00601599 | + | 0.00127874i | ||||
\(668\) | −50.7276 | + | 69.8206i | −1.96271 | + | 2.70144i | ||||
\(669\) | −15.1462 | − | 71.2571i | −0.585584 | − | 2.75496i | ||||
\(670\) | 51.6993 | + | 46.5502i | 1.99732 | + | 1.79839i | ||||
\(671\) | −3.40191 | − | 4.68233i | −0.131329 | − | 0.180759i | ||||
\(672\) | −17.3302 | + | 19.2472i | −0.668529 | + | 0.742476i | ||||
\(673\) | 24.5642 | − | 10.9367i | 0.946881 | − | 0.421578i | 0.125586 | − | 0.992083i | \(-0.459919\pi\) |
0.821295 | + | 0.570504i | \(0.193252\pi\) | |||||||
\(674\) | 14.4110 | + | 32.3677i | 0.555091 | + | 1.24676i | ||||
\(675\) | 3.88576 | − | 2.82317i | 0.149563 | − | 0.108664i | ||||
\(676\) | 37.2878 | + | 40.3316i | 1.43414 | + | 1.55121i | ||||
\(677\) | 39.5675 | 1.52070 | 0.760351 | − | 0.649513i | \(-0.225027\pi\) | ||||
0.760351 | + | 0.649513i | \(0.225027\pi\) | |||||||
\(678\) | −115.842 | + | 12.1755i | −4.44890 | + | 0.467599i | ||||
\(679\) | 34.5625 | + | 38.3856i | 1.32639 | + | 1.47310i | ||||
\(680\) | 50.2321 | − | 55.7884i | 1.92631 | − | 2.13939i | ||||
\(681\) | − | 46.8443i | − | 1.79508i | ||||||
\(682\) | −4.53876 | − | 25.4364i | −0.173798 | − | 0.974011i | ||||
\(683\) | −4.63567 | + | 2.67640i | −0.177379 | + | 0.102410i | −0.586061 | − | 0.810267i | \(-0.699322\pi\) |
0.408682 | + | 0.912677i | \(0.365989\pi\) | |||||||
\(684\) | 10.4991 | − | 3.41137i | 0.401444 | − | 0.130437i | ||||
\(685\) | 7.14396 | − | 1.51850i | 0.272957 | − | 0.0580187i | ||||
\(686\) | 1.43629 | + | 13.6654i | 0.0548380 | + | 0.521749i | ||||
\(687\) | −20.9908 | − | 12.1190i | −0.800849 | − | 0.462370i | ||||
\(688\) | −2.45724 | −0.0936814 | ||||||||
\(689\) | 7.73401 | − | 7.05647i | 0.294642 | − | 0.268830i | ||||
\(690\) | 0.198531 | + | 0.144241i | 0.00755793 | + | 0.00549116i | ||||
\(691\) | 18.4338 | + | 41.4029i | 0.701253 | + | 1.57504i | 0.813635 | + | 0.581375i | \(0.197485\pi\) |
−0.112382 | + | 0.993665i | \(0.535848\pi\) | |||||||
\(692\) | −6.64677 | − | 1.41282i | −0.252672 | − | 0.0537072i | ||||
\(693\) | 31.5300 | + | 14.0381i | 1.19772 | + | 0.533261i | ||||
\(694\) | 70.1725 | − | 22.8004i | 2.66371 | − | 0.865493i | ||||
\(695\) | −1.12927 | − | 5.31280i | −0.0428357 | − | 0.201526i | ||||
\(696\) | 137.828 | + | 14.4863i | 5.22435 | + | 0.549102i | ||||
\(697\) | −66.9486 | − | 21.7529i | −2.53586 | − | 0.823951i | ||||
\(698\) | 5.16802 | − | 1.09850i | 0.195613 | − | 0.0415787i | ||||
\(699\) | 34.7509 | − | 15.4721i | 1.31440 | − | 0.585209i | ||||
\(700\) | 12.3211 | − | 11.0940i | 0.465695 | − | 0.419314i | ||||
\(701\) | −9.34565 | − | 28.7630i | −0.352981 | − | 1.08636i | −0.957171 | − | 0.289523i | \(-0.906503\pi\) |
0.604191 | − | 0.796840i | \(-0.293497\pi\) | |||||||
\(702\) | 42.2111 | − | 9.26308i | 1.59316 | − | 0.349612i | ||||
\(703\) | −0.0753043 | − | 0.231763i | −0.00284016 | − | 0.00874111i | ||||
\(704\) | −3.69238 | − | 8.29321i | −0.139162 | − | 0.312562i | ||||
\(705\) | −63.0086 | + | 28.0532i | −2.37304 | + | 1.05655i | ||||
\(706\) | −59.3007 | − | 26.4024i | −2.23181 | − | 0.993667i | ||||
\(707\) | 3.86154i | 0.145228i | ||||||||
\(708\) | −82.1548 | + | 47.4321i | −3.08757 | + | 1.78261i | ||||
\(709\) | 9.09786 | − | 20.4341i | 0.341677 | − | 0.767419i | −0.658216 | − | 0.752829i | \(-0.728689\pi\) |
0.999894 | − | 0.0145907i | \(-0.00464452\pi\) | |||||||
\(710\) | −22.4173 | − | 7.28383i | −0.841307 | − | 0.273357i | ||||
\(711\) | −20.4751 | + | 22.7399i | −0.767877 | + | 0.852813i | ||||
\(712\) | −9.56659 | + | 16.5698i | −0.358523 | + | 0.620980i | ||||
\(713\) | 0.0753196 | − | 0.0634635i | 0.00282074 | − | 0.00237673i | ||||
\(714\) | 184.038 | 6.88744 | ||||||||
\(715\) | −13.3482 | − | 1.31417i | −0.499193 | − | 0.0491473i | ||||
\(716\) | −5.65022 | + | 17.3896i | −0.211159 | + | 0.649880i | ||||
\(717\) | −29.6430 | + | 3.11560i | −1.10704 | + | 0.116354i | ||||
\(718\) | −11.4998 | + | 19.9183i | −0.429170 | + | 0.743344i | ||||
\(719\) | 9.51476 | + | 16.4800i | 0.354841 | + | 0.614602i | 0.987091 | − | 0.160162i | \(-0.0512018\pi\) |
−0.632250 | + | 0.774764i | \(0.717868\pi\) | |||||||
\(720\) | −30.0247 | − | 41.3254i | −1.11895 | − | 1.54011i | ||||
\(721\) | 43.4956 | + | 4.57157i | 1.61986 | + | 0.170254i | ||||
\(722\) | 46.3881 | + | 4.87559i | 1.72639 | + | 0.181451i | ||||
\(723\) | 65.9049 | − | 21.4138i | 2.45103 | − | 0.796388i | ||||
\(724\) | −10.6344 | − | 4.73474i | −0.395225 | − | 0.175965i | ||||
\(725\) | −8.78166 | − | 1.86660i | −0.326143 | − | 0.0693238i | ||||
\(726\) | −38.8674 | + | 34.9964i | −1.44251 | + | 1.29884i | ||||
\(727\) | 5.53179 | + | 4.01908i | 0.205163 | + | 0.149060i | 0.685622 | − | 0.727957i | \(-0.259530\pi\) |
−0.480460 | + | 0.877017i | \(0.659530\pi\) | |||||||
\(728\) | 74.5566 | − | 24.7687i | 2.76325 | − | 0.917987i | ||||
\(729\) | −13.5925 | + | 41.8334i | −0.503425 | + | 1.54938i | ||||
\(730\) | −2.91414 | − | 6.54526i | −0.107857 | − | 0.242251i | ||||
\(731\) | 2.05784 | + | 2.28546i | 0.0761118 | + | 0.0845307i | ||||
\(732\) | −24.4563 | + | 27.1614i | −0.903930 | + | 1.00392i | ||||
\(733\) | 20.5558 | + | 28.2926i | 0.759246 | + | 1.04501i | 0.997276 | + | 0.0737549i | \(0.0234982\pi\) |
−0.238030 | + | 0.971258i | \(0.576502\pi\) | |||||||
\(734\) | 31.5929 | + | 28.4464i | 1.16612 | + | 1.04998i | ||||
\(735\) | −46.4659 | − | 4.88377i | −1.71392 | − | 0.180140i | ||||
\(736\) | −0.0246826 | + | 0.0339727i | −0.000909813 | + | 0.00125225i | ||||
\(737\) | 23.6881 | + | 10.5466i | 0.872564 | + | 0.388491i | ||||
\(738\) | −61.4149 | + | 106.374i | −2.26071 | + | 3.91567i | ||||
\(739\) | 10.0288 | + | 5.79014i | 0.368916 | + | 0.212994i | 0.672985 | − | 0.739656i | \(-0.265012\pi\) |
−0.304069 | + | 0.952650i | \(0.598345\pi\) | |||||||
\(740\) | −3.01482 | + | 2.19039i | −0.110827 | + | 0.0805204i | ||||
\(741\) | −5.42535 | − | 1.11592i | −0.199305 | − | 0.0409943i | ||||
\(742\) | −8.78648 | − | 27.0420i | −0.322562 | − | 0.992743i | ||||
\(743\) | −2.93346 | − | 1.69363i | −0.107618 | − | 0.0621334i | 0.445225 | − | 0.895419i | \(-0.353124\pi\) |
−0.552843 | + | 0.833285i | \(0.686457\pi\) | |||||||
\(744\) | −79.6092 | + | 32.3537i | −2.91862 | + | 1.18614i | ||||
\(745\) | 5.02965 | + | 8.71161i | 0.184272 | + | 0.319169i | ||||
\(746\) | −13.6665 | + | 4.44051i | −0.500365 | + | 0.162579i | ||||
\(747\) | −8.42790 | − | 39.6501i | −0.308361 | − | 1.45072i | ||||
\(748\) | 21.6100 | − | 48.5368i | 0.790138 | − | 1.77468i | ||||
\(749\) | − | 38.0021i | − | 1.38857i | ||||||
\(750\) | 41.6159 | + | 72.0808i | 1.51960 | + | 2.63202i | ||||
\(751\) | 3.61522 | + | 34.3965i | 0.131921 | + | 1.25515i | 0.837469 | + | 0.546484i | \(0.184034\pi\) |
−0.705548 | + | 0.708662i | \(0.749299\pi\) | |||||||
\(752\) | −27.2550 | − | 61.2158i | −0.993888 | − | 2.23231i | ||||
\(753\) | 33.6092 | + | 24.4185i | 1.22479 | + | 0.889861i | ||||
\(754\) | −65.6620 | − | 47.0490i | −2.39127 | − | 1.71342i | ||||
\(755\) | −4.04766 | + | 2.94080i | −0.147309 | + | 0.107026i | ||||
\(756\) | 16.5624 | − | 77.9198i | 0.602368 | − | 2.83392i | ||||
\(757\) | 6.27452 | + | 6.96856i | 0.228051 | + | 0.253277i | 0.846301 | − | 0.532705i | \(-0.178825\pi\) |
−0.618250 | + | 0.785982i | \(0.712158\pi\) | |||||||
\(758\) | −3.54520 | + | 33.7303i | −0.128767 | + | 1.22514i | ||||
\(759\) | 0.0869894 | + | 0.0282646i | 0.00315751 | + | 0.00102594i | ||||
\(760\) | 1.27579 | + | 6.00211i | 0.0462777 | + | 0.217719i | ||||
\(761\) | 25.6184 | + | 2.69260i | 0.928665 | + | 0.0976067i | 0.556769 | − | 0.830667i | \(-0.312041\pi\) |
0.371897 | + | 0.928274i | \(0.378708\pi\) | |||||||
\(762\) | −69.7197 | − | 22.6533i | −2.52568 | − | 0.820642i | ||||
\(763\) | −4.75715 | + | 5.28335i | −0.172220 | + | 0.191270i | ||||
\(764\) | 6.46941 | + | 61.5523i | 0.234055 | + | 2.22688i | ||||
\(765\) | −13.2920 | + | 62.5340i | −0.480574 | + | 2.26092i | ||||
\(766\) | 56.8462 | + | 41.3012i | 2.05394 | + | 1.49227i | ||||
\(767\) | 29.1195 | − | 0.191685i | 1.05145 | − | 0.00692134i | ||||
\(768\) | −73.0205 | + | 53.0525i | −2.63490 | + | 1.91437i | ||||
\(769\) | −30.3291 | − | 17.5105i | −1.09369 | − | 0.631445i | −0.159136 | − | 0.987257i | \(-0.550871\pi\) |
−0.934558 | + | 0.355812i | \(0.884204\pi\) | |||||||
\(770\) | −18.2136 | + | 31.5469i | −0.656373 | + | 1.13687i | ||||
\(771\) | 36.7115 | + | 16.3450i | 1.32213 | + | 0.588651i | ||||
\(772\) | −96.9954 | − | 31.5157i | −3.49094 | − | 1.13428i | ||||
\(773\) | 11.4745 | + | 10.3317i | 0.412708 | + | 0.371604i | 0.849171 | − | 0.528118i | \(-0.177102\pi\) |
−0.436463 | + | 0.899722i | \(0.643769\pi\) | |||||||
\(774\) | 4.64728 | − | 2.68311i | 0.167043 | − | 0.0964423i | ||||
\(775\) | 5.34802 | − | 1.54536i | 0.192106 | − | 0.0555109i | ||||
\(776\) | −36.5342 | − | 63.2791i | −1.31150 | − | 2.27159i | ||||
\(777\) | −4.70613 | − | 1.00032i | −0.168831 | − | 0.0358862i | ||||
\(778\) | 39.4371 | − | 35.5093i | 1.41389 | − | 1.27307i | ||||
\(779\) | 4.65502 | − | 3.38207i | 0.166784 | − | 0.121175i | ||||
\(780\) | 9.40803 | + | 84.1774i | 0.336861 | + | 3.01404i | ||||
\(781\) | −8.78552 | −0.314370 | ||||||||
\(782\) | 0.296756 | − | 0.0311904i | 0.0106120 | − | 0.00111536i | ||||
\(783\) | −39.4066 | + | 17.5449i | −1.40828 | + | 0.627005i | ||||
\(784\) | 4.74480 | − | 45.1438i | 0.169457 | − | 1.61228i | ||||
\(785\) | 15.6593 | − | 5.08802i | 0.558905 | − | 0.181599i | ||||
\(786\) | −6.58677 | + | 14.7941i | −0.234942 | + | 0.527689i | ||||
\(787\) | −23.0247 | − | 20.7316i | −0.820744 | − | 0.739001i | 0.147486 | − | 0.989064i | \(-0.452882\pi\) |
−0.968229 | + | 0.250063i | \(0.919549\pi\) | |||||||
\(788\) | 92.9007 | + | 30.1853i | 3.30945 | + | 1.07531i | ||||
\(789\) | −4.14360 | + | 39.4237i | −0.147516 | + | 1.40352i | ||||
\(790\) | −21.6102 | − | 24.0006i | −0.768857 | − | 0.853902i | ||||
\(791\) | 48.9803 | − | 44.1021i | 1.74154 | − | 1.56809i | ||||
\(792\) | −39.4991 | − | 28.6977i | −1.40354 | − | 1.01973i | ||||
\(793\) | 10.6473 | − | 3.53716i | 0.378095 | − | 0.125608i | ||||
\(794\) | −4.39727 | − | 13.5334i | −0.156053 | − | 0.480282i | ||||
\(795\) | 16.0561 | − | 1.68756i | 0.569450 | − | 0.0598516i | ||||
\(796\) | 0.494484 | + | 0.105106i | 0.0175265 | + | 0.00372538i | ||||
\(797\) | 3.91623 | − | 37.2605i | 0.138720 | − | 1.31983i | −0.674672 | − | 0.738118i | \(-0.735715\pi\) |
0.813392 | − | 0.581716i | \(-0.197619\pi\) | |||||||
\(798\) | −8.84209 | + | 12.1701i | −0.313006 | + | 0.430816i | ||||
\(799\) | −34.1113 | + | 76.6153i | −1.20677 | + | 2.71046i | ||||
\(800\) | −2.05546 | + | 1.18672i | −0.0726715 | + | 0.0419569i | ||||
\(801\) | − | 16.2940i | − | 0.575721i | ||||||
\(802\) | −68.9617 | − | 30.7037i | −2.43512 | − | 1.08419i | ||||
\(803\) | −1.78689 | − | 1.98454i | −0.0630579 | − | 0.0700329i | ||||
\(804\) | 34.0451 | − | 160.170i | 1.20068 | − | 5.64875i | ||||
\(805\) | −0.138856 | −0.00489403 | ||||||||
\(806\) | 49.6582 | + | 6.54268i | 1.74914 | + | 0.230456i | ||||
\(807\) | −29.0350 | −1.02208 | ||||||||
\(808\) | 1.13573 | − | 5.34319i | 0.0399548 | − | 0.187973i | ||||
\(809\) | 7.61741 | + | 8.45999i | 0.267814 | + | 0.297438i | 0.862019 | − | 0.506876i | \(-0.169200\pi\) |
−0.594205 | + | 0.804314i | \(0.702533\pi\) | |||||||
\(810\) | −3.78223 | − | 1.68396i | −0.132894 | − | 0.0591682i | ||||
\(811\) | − | 46.4485i | − | 1.63103i | −0.578738 | − | 0.815514i | \(-0.696455\pi\) | ||
0.578738 | − | 0.815514i | \(-0.303545\pi\) | |||||||
\(812\) | −128.952 | + | 74.4505i | −4.52533 | + | 2.61270i | ||||
\(813\) | −15.8168 | + | 35.5252i | −0.554720 | + | 1.24592i | ||||
\(814\) | −1.20287 | + | 1.65561i | −0.0421605 | + | 0.0580290i | ||||
\(815\) | 2.33369 | − | 22.2035i | 0.0817454 | − | 0.777756i | ||||
\(816\) | −99.3041 | − | 21.1077i | −3.47634 | − | 0.738919i | ||||
\(817\) | −0.250002 | + | 0.0262763i | −0.00874646 | + | 0.000919290i | ||||
\(818\) | −24.2342 | − | 74.5852i | −0.847328 | − | 2.60781i | ||||
\(819\) | −44.4401 | + | 50.0139i | −1.55286 | + | 1.74763i | ||||
\(820\) | −71.1848 | − | 51.7188i | −2.48588 | − | 1.80610i | ||||
\(821\) | −4.18367 | + | 3.76699i | −0.146011 | + | 0.131469i | −0.738899 | − | 0.673816i | \(-0.764654\pi\) |
0.592888 | + | 0.805285i | \(0.297988\pi\) | |||||||
\(822\) | −16.9480 | − | 18.8226i | −0.591128 | − | 0.656514i | ||||
\(823\) | −0.625880 | + | 5.95485i | −0.0218168 | + | 0.207573i | −1.00000 | 0.000171180i | \(-0.999946\pi\) | |
0.978183 | + | 0.207744i | \(0.0666122\pi\) | |||||||
\(824\) | −58.8400 | − | 19.1183i | −2.04979 | − | 0.666017i | ||||
\(825\) | 3.84184 | + | 3.45921i | 0.133756 | + | 0.120434i | ||||
\(826\) | 32.1675 | − | 72.2494i | 1.11925 | − | 2.51388i | ||||
\(827\) | −23.1593 | + | 7.52491i | −0.805327 | + | 0.261667i | −0.682618 | − | 0.730776i | \(-0.739158\pi\) |
−0.122710 | + | 0.992443i | \(0.539158\pi\) | |||||||
\(828\) | 0.0369387 | − | 0.351449i | 0.00128371 | − | 0.0122137i | ||||
\(829\) | 19.5834 | − | 8.71910i | 0.680160 | − | 0.302827i | −0.0374230 | − | 0.999300i | \(-0.511915\pi\) |
0.717583 | + | 0.696473i | \(0.245248\pi\) | |||||||
\(830\) | 42.5488 | − | 4.47206i | 1.47689 | − | 0.155228i | ||||
\(831\) | −62.8737 | −2.18106 | ||||||||
\(832\) | 17.4889 | − | 1.95464i | 0.606320 | − | 0.0677649i | ||||
\(833\) | −45.9614 | + | 33.3929i | −1.59247 | + | 1.15700i | ||||
\(834\) | −13.9979 | + | 12.6038i | −0.484709 | + | 0.436434i | ||||
\(835\) | 39.9599 | + | 8.49373i | 1.38287 | + | 0.293938i | ||||
\(836\) | 2.17140 | + | 3.76097i | 0.0750994 | + | 0.130076i | ||||
\(837\) | 16.4239 | − | 21.1105i | 0.567693 | − | 0.729684i | ||||
\(838\) | −39.3287 | + | 22.7064i | −1.35859 | + | 0.784381i | ||||
\(839\) | 7.87005 | + | 7.08623i | 0.271704 | + | 0.244644i | 0.793707 | − | 0.608300i | \(-0.208148\pi\) |
−0.522003 | + | 0.852944i | \(0.674815\pi\) | |||||||
\(840\) | 115.220 | + | 37.4372i | 3.97547 | + | 1.29171i | ||||
\(841\) | 47.1657 | + | 20.9995i | 1.62640 | + | 0.724121i | ||||
\(842\) | −37.1550 | + | 64.3543i | −1.28044 | + | 2.21780i | ||||
\(843\) | −5.72785 | − | 3.30698i | −0.197278 | − | 0.113898i | ||||
\(844\) | 52.2966 | − | 37.9957i | 1.80012 | − | 1.30787i | ||||
\(845\) | 10.2618 | − | 23.8899i | 0.353015 | − | 0.821836i | ||||
\(846\) | 118.389 | + | 86.0147i | 4.07030 | + | 2.95725i | ||||
\(847\) | 6.15299 | − | 28.9475i | 0.211419 | − | 0.994649i | ||||
\(848\) | 1.63954 | + | 15.5992i | 0.0563022 | + | 0.535679i | ||||
\(849\) | 49.2263 | − | 54.6713i | 1.68944 | − | 1.87632i | ||||
\(850\) | 16.0398 | + | 5.21164i | 0.550160 | + | 0.178758i | ||||
\(851\) | −0.00775805 | 0.000815404i | −0.000265942 | 2.79517e-5i | ||||||
\(852\) | 11.5351 | + | 54.2684i | 0.395186 | + | 1.85920i | ||||
\(853\) | 7.34141 | + | 2.38537i | 0.251365 | + | 0.0816735i | 0.431989 | − | 0.901879i | \(-0.357812\pi\) |
−0.180624 | + | 0.983552i | \(0.557812\pi\) | |||||||
\(854\) | 3.18504 | − | 30.3037i | 0.108990 | − | 1.03697i | ||||
\(855\) | −3.49665 | − | 3.88342i | −0.119583 | − | 0.132810i | ||||
\(856\) | −11.1769 | + | 52.5833i | −0.382020 | + | 1.79726i | ||||
\(857\) | −28.0385 | + | 20.3712i | −0.957778 | + | 0.695866i | −0.952634 | − | 0.304121i | \(-0.901637\pi\) |
−0.00514404 | + | 0.999987i | \(0.501637\pi\) | |||||||
\(858\) | 19.1984 | + | 42.3676i | 0.655424 | + | 1.44641i | ||||
\(859\) | −30.2897 | − | 22.0068i | −1.03347 | − | 0.750862i | −0.0644715 | − | 0.997920i | \(-0.520536\pi\) |
−0.969001 | + | 0.247058i | \(0.920536\pi\) | |||||||
\(860\) | 1.56354 | + | 3.51176i | 0.0533161 | + | 0.119750i | ||||
\(861\) | −11.8746 | − | 112.980i | −0.404687 | − | 3.85034i | ||||
\(862\) | 26.2549 | + | 45.4748i | 0.894246 | + | 1.54888i | ||||
\(863\) | 8.48105i | 0.288698i | 0.989527 | + | 0.144349i | \(0.0461089\pi\) | ||||
−0.989527 | + | 0.144349i | \(0.953891\pi\) | |||||||
\(864\) | −4.63830 | + | 10.4178i | −0.157798 | + | 0.354420i | ||||
\(865\) | 0.668774 | + | 3.14633i | 0.0227390 | + | 0.106979i | ||||
\(866\) | −65.6121 | + | 21.3187i | −2.22959 | + | 0.724438i | ||||
\(867\) | 39.9015 | + | 69.1114i | 1.35512 | + | 2.34714i | ||||
\(868\) | 48.7661 | − | 78.3982i | 1.65523 | − | 2.66101i | ||||
\(869\) | −10.4248 | − | 6.01877i | −0.353638 | − | 0.204173i | ||||
\(870\) | −38.4928 | − | 118.469i | −1.30503 | − | 4.01646i | ||||
\(871\) | −33.3874 | + | 37.5749i | −1.13129 | + | 1.27318i | ||||
\(872\) | 8.13633 | − | 5.91139i | 0.275531 | − | 0.200185i | ||||
\(873\) | 53.8892 | + | 31.1129i | 1.82387 | + | 1.05301i | ||||
\(874\) | −0.0121951 | + | 0.0211225i | −0.000412505 | + | 0.000714479i | ||||
\(875\) | −43.0243 | − | 19.1557i | −1.45449 | − | 0.647580i | ||||
\(876\) | −9.91243 | + | 13.6433i | −0.334910 | + | 0.460964i | ||||
\(877\) | −2.27923 | − | 0.239557i | −0.0769642 | − | 0.00808926i | 0.0659681 | − | 0.997822i | \(-0.478986\pi\) |
−0.142932 | + | 0.989732i | \(0.545653\pi\) | |||||||
\(878\) | 0.705953 | + | 0.635643i | 0.0238247 | + | 0.0214519i | ||||
\(879\) | 44.2561 | + | 60.9133i | 1.49272 | + | 2.05455i | ||||
\(880\) | 13.4460 | − | 14.9333i | 0.453265 | − | 0.503401i | ||||
\(881\) | −11.6869 | − | 12.9796i | −0.393742 | − | 0.437294i | 0.513381 | − | 0.858161i | \(-0.328393\pi\) |
−0.907123 | + | 0.420866i | \(0.861726\pi\) | |||||||
\(882\) | 40.3197 | + | 90.5596i | 1.35764 | + | 3.04930i | ||||
\(883\) | −3.14207 | + | 9.67031i | −0.105739 | + | 0.325432i | −0.989903 | − | 0.141745i | \(-0.954729\pi\) |
0.884164 | + | 0.467177i | \(0.154729\pi\) | |||||||
\(884\) | 76.9906 | + | 68.4104i | 2.58947 | + | 2.30089i | ||||
\(885\) | 36.3290 | + | 26.3946i | 1.22119 | + | 0.887245i | ||||
\(886\) | 43.3860 | − | 39.0649i | 1.45758 | − | 1.31241i | ||||
\(887\) | −2.78509 | − | 0.591988i | −0.0935140 | − | 0.0198770i | 0.160917 | − | 0.986968i | \(-0.448555\pi\) |
−0.254431 | + | 0.967091i | \(0.581888\pi\) | |||||||
\(888\) | 6.21763 | + | 2.76827i | 0.208650 | + | 0.0928970i | ||||
\(889\) | 39.4503 | − | 12.8182i | 1.32312 | − | 0.429908i | ||||
\(890\) | 17.1031 | + | 1.79761i | 0.573298 | + | 0.0602561i | ||||
\(891\) | −1.53470 | − | 0.161303i | −0.0514142 | − | 0.00540385i | ||||
\(892\) | −65.0807 | − | 89.5759i | −2.17906 | − | 2.99922i | ||||
\(893\) | −3.42756 | − | 5.93670i | −0.114699 | − | 0.198664i | ||||
\(894\) | 17.4425 | − | 30.2114i | 0.583366 | − | 1.01042i | ||||
\(895\) | 8.60779 | − | 0.904715i | 0.287727 | − | 0.0302413i | ||||
\(896\) | 20.5270 | − | 63.1756i | 0.685759 | − | 2.11055i | ||||
\(897\) | −0.103272 | + | 0.144127i | −0.00344815 | + | 0.00481228i | ||||
\(898\) | −3.18701 | −0.106352 | ||||||||
\(899\) | −49.8661 | + | 3.58942i | −1.66313 | + | 0.119714i | ||||
\(900\) | 9.98674 | − | 17.2975i | 0.332891 | − | 0.576585i | ||||
\(901\) | 13.1357 | − | 14.5886i | 0.437612 | − | 0.486017i | ||||
\(902\) | −45.9550 | − | 14.9317i | −1.53013 | − | 0.497171i | ||||
\(903\) | −2.01866 | + | 4.53399i | −0.0671769 | + | 0.150882i | ||||
\(904\) | −80.7448 | + | 46.6180i | −2.68553 | + | 1.55049i | ||||
\(905\) | 5.51032i | 0.183169i | ||||||||
\(906\) | 15.8507 | + | 7.05718i | 0.526604 | + | 0.234459i | ||||
\(907\) | −37.9960 | + | 16.9169i | −1.26164 | + | 0.561717i | −0.925018 | − | 0.379924i | \(-0.875950\pi\) |
−0.336619 | + | 0.941641i | \(0.609284\pi\) | |||||||
\(908\) | −28.9588 | − | 65.0424i | −0.961030 | − | 2.15851i | ||||
\(909\) | 1.43754 | + | 4.42429i | 0.0476802 | + | 0.146744i | ||||
\(910\) | −47.5946 | − | 52.1645i | −1.57775 | − | 1.72924i | ||||
\(911\) | 2.86625 | + | 8.82142i | 0.0949632 | + | 0.292267i | 0.987244 | − | 0.159214i | \(-0.0508960\pi\) |
−0.892281 | + | 0.451481i | \(0.850896\pi\) | |||||||
\(912\) | 6.16688 | − | 5.55268i | 0.204206 | − | 0.183868i | ||||
\(913\) | 14.5678 | − | 6.48599i | 0.482123 | − | 0.214655i | ||||
\(914\) | −35.3634 | + | 7.51672i | −1.16972 | + | 0.248631i | ||||
\(915\) | 16.4543 | + | 5.34633i | 0.543963 | + | 0.176744i | ||||
\(916\) | −36.6372 | − | 3.85073i | −1.21053 | − | 0.127232i | ||||
\(917\) | −1.90517 | − | 8.96311i | −0.0629142 | − | 0.295988i | ||||
\(918\) | 77.0664 | − | 25.0404i | 2.54357 | − | 0.826456i | ||||
\(919\) | −49.8194 | − | 22.1810i | −1.64339 | − | 0.731684i | −0.643948 | − | 0.765069i | \(-0.722705\pi\) |
−0.999443 | + | 0.0333850i | \(0.989371\pi\) | |||||||
\(920\) | 0.192134 | + | 0.0408394i | 0.00633448 | + | 0.00134643i | ||||
\(921\) | 6.17826 | + | 13.8766i | 0.203581 | + | 0.457250i | ||||
\(922\) | 21.3255 | + | 15.4939i | 0.702317 | + | 0.510263i | ||||
\(923\) | 5.15606 | − | 16.2315i | 0.169714 | − | 0.534266i | ||||
\(924\) | 85.7416 | 2.82069 | ||||||||
\(925\) | −0.381834 | − | 0.220452i | −0.0125546 | − | 0.00724842i | ||||
\(926\) | −4.90113 | − | 46.6312i | −0.161061 | − | 1.53240i | ||||
\(927\) | 51.5362 | − | 10.9543i | 1.69267 | − | 0.359788i | ||||
\(928\) | 20.2724 | − | 6.58691i | 0.665475 | − | 0.216226i | ||||
\(929\) | −17.3224 | + | 10.0011i | −0.568331 | + | 0.328126i | −0.756482 | − | 0.654014i | \(-0.773084\pi\) |
0.188152 | + | 0.982140i | \(0.439750\pi\) | |||||||
\(930\) | 55.6700 | + | 53.5404i | 1.82549 | + | 1.75566i | ||||
\(931\) | − | 4.64371i | − | 0.152191i | ||||||
\(932\) | 38.6863 | − | 42.9655i | 1.26721 | − | 1.40738i | ||||
\(933\) | −1.28580 | − | 1.42803i | −0.0420952 | − | 0.0467515i | ||||
\(934\) | 38.6682 | − | 4.06419i | 1.26526 | − | 0.132984i | ||||
\(935\) | −25.1498 | −0.822486 | ||||||||
\(936\) | 76.2012 | − | 56.1335i | 2.49071 | − | 1.83478i | ||||
\(937\) | −2.19745 | + | 1.59654i | −0.0717875 | + | 0.0521566i | −0.623100 | − | 0.782142i | \(-0.714127\pi\) |
0.551313 | + | 0.834299i | \(0.314127\pi\) | |||||||
\(938\) | 55.5253 | + | 124.712i | 1.81296 | + | 4.07199i | ||||
\(939\) | −31.9528 | + | 14.2263i | −1.04274 | + | 0.464258i | ||||
\(940\) | −70.1440 | + | 77.9029i | −2.28785 | + | 2.54091i | ||||
\(941\) | 0.754160 | + | 1.03801i | 0.0245849 | + | 0.0338382i | 0.821133 | − | 0.570738i | \(-0.193343\pi\) |
−0.796548 | + | 0.604576i | \(0.793343\pi\) | |||||||
\(942\) | −42.4338 | − | 38.2076i | −1.38257 | − | 1.24487i | ||||
\(943\) | −0.0382951 | − | 0.180164i | −0.00124706 | − | 0.00586696i | ||||
\(944\) | −25.6436 | + | 35.2954i | −0.834627 | + | 1.14877i | ||||
\(945\) | −36.8843 | + | 7.84001i | −1.19985 | + | 0.255035i | ||||
\(946\) | 1.41254 | + | 1.56879i | 0.0459258 | + | 0.0510057i | ||||
\(947\) | 22.8224 | + | 51.2599i | 0.741627 | + | 1.66572i | 0.746191 | + | 0.665732i | \(0.231881\pi\) |
−0.00456386 | + | 0.999990i | \(0.501453\pi\) | |||||||
\(948\) | −23.4907 | + | 72.2969i | −0.762942 | + | 2.34809i | ||||
\(949\) | 4.71519 | − | 2.13664i | 0.153061 | − | 0.0693582i | ||||
\(950\) | −1.11527 | + | 0.810289i | −0.0361840 | + | 0.0262892i | ||||
\(951\) | 11.7111 | − | 55.0963i | 0.379758 | − | 1.78662i | ||||
\(952\) | 134.576 | − | 59.9171i | 4.36163 | − | 1.94192i | ||||
\(953\) | −2.44168 | + | 23.2310i | −0.0790937 | + | 0.752526i | 0.881051 | + | 0.473022i | \(0.156837\pi\) |
−0.960144 | + | 0.279504i | \(0.909830\pi\) | |||||||
\(954\) | −20.1339 | − | 27.7119i | −0.651859 | − | 0.897207i | ||||
\(955\) | 25.3720 | − | 14.6485i | 0.821018 | − | 0.474015i | ||||
\(956\) | −39.2327 | + | 22.6510i | −1.26888 | + | 0.732586i | ||||
\(957\) | −27.2901 | − | 37.5616i | −0.882164 | − | 1.21419i | ||||
\(958\) | −97.1990 | + | 20.6603i | −3.14036 | + | 0.667503i | ||||
\(959\) | 14.0186 | + | 2.97975i | 0.452685 | + | 0.0962212i | ||||
\(960\) | 23.5013 | + | 13.5685i | 0.758502 | + | 0.437921i | ||||
\(961\) | 26.2221 | − | 16.5348i | 0.845874 | − | 0.533382i | ||||
\(962\) | −2.35284 | − | 3.19398i | −0.0758586 | − | 0.102978i | ||||
\(963\) | −14.1471 | − | 43.5403i | −0.455884 | − | 1.40307i | ||||
\(964\) | 78.2700 | − | 70.4746i | 2.52091 | − | 2.26983i | ||||
\(965\) | 5.04630 | + | 48.0124i | 0.162446 | + | 1.54557i | ||||
\(966\) | 0.240772 | + | 0.417030i | 0.00774672 | + | 0.0134177i | ||||
\(967\) | − | 5.45153i | − | 0.175309i | −0.996151 | − | 0.0876547i | \(-0.972063\pi\) | ||
0.996151 | − | 0.0876547i | \(-0.0279372\pi\) | |||||||
\(968\) | −17.0277 | + | 38.2448i | −0.547291 | + | 1.22924i | ||||
\(969\) | −10.3290 | − | 1.08562i | −0.331816 | − | 0.0348752i | ||||
\(970\) | −38.6031 | + | 53.1327i | −1.23947 | + | 1.70599i | ||||
\(971\) | −0.295682 | + | 0.328388i | −0.00948889 | + | 0.0105385i | −0.747871 | − | 0.663845i | \(-0.768924\pi\) |
0.738382 | + | 0.674383i | \(0.235590\pi\) | |||||||
\(972\) | 7.38356 | + | 70.2499i | 0.236828 | + | 2.25327i | ||||
\(973\) | 2.21597 | − | 10.4253i | 0.0710408 | − | 0.334221i | ||||
\(974\) | −0.224498 | + | 0.690935i | −0.00719339 | + | 0.0221390i | ||||
\(975\) | −8.64570 | + | 5.06777i | −0.276884 | + | 0.162299i | ||||
\(976\) | −5.19421 | + | 15.9861i | −0.166262 | + | 0.511703i | ||||
\(977\) | 25.9112 | − | 23.3305i | 0.828971 | − | 0.746409i | −0.140901 | − | 0.990024i | \(-0.545000\pi\) |
0.969872 | + | 0.243615i | \(0.0783332\pi\) | |||||||
\(978\) | −70.7310 | + | 31.4915i | −2.26173 | + | 1.00699i | ||||
\(979\) | 6.26983 | − | 1.33269i | 0.200385 | − | 0.0425931i | ||||
\(980\) | −67.5362 | + | 21.9439i | −2.15737 | + | 0.700971i | ||||
\(981\) | −3.48358 | + | 7.82424i | −0.111222 | + | 0.249809i | ||||
\(982\) | 61.3323 | + | 55.2238i | 1.95719 | + | 1.76226i | ||||
\(983\) | 23.7291 | − | 32.6604i | 0.756842 | − | 1.04170i | −0.240628 | − | 0.970617i | \(-0.577353\pi\) |
0.997470 | − | 0.0710865i | \(-0.0226466\pi\) | |||||||
\(984\) | −16.7979 | + | 159.822i | −0.535499 | + | 5.09493i | ||||
\(985\) | −4.83327 | − | 45.9855i | −0.154001 | − | 1.46522i | ||||
\(986\) | −131.173 | − | 75.7325i | −4.17739 | − | 2.41181i | ||||
\(987\) | −135.343 | −4.30802 | ||||||||
\(988\) | −8.22286 | + | 1.80448i | −0.261604 | + | 0.0574081i | ||||
\(989\) | −0.00248663 | + | 0.00765307i | −7.90703e−5 | + | 0.000243353i | ||||
\(990\) | −9.12393 | + | 42.9247i | −0.289977 | + | 1.36424i | ||||
\(991\) | −8.64387 | + | 14.9716i | −0.274582 | + | 0.475589i | −0.970029 | − | 0.242987i | \(-0.921873\pi\) |
0.695448 | + | 0.718577i | \(0.255206\pi\) | |||||||
\(992\) | −9.16186 | + | 9.52628i | −0.290889 | + | 0.302460i | ||||
\(993\) | 5.18155i | 0.164431i | ||||||||
\(994\) | −34.3730 | − | 30.9496i | −1.09024 | − | 0.981661i | ||||
\(995\) | −0.0497532 | − | 0.234070i | −0.00157728 | − | 0.00742053i | ||||
\(996\) | −59.1912 | − | 81.4697i | −1.87554 | − | 2.58147i | ||||
\(997\) | 9.97237 | + | 17.2726i | 0.315828 | + | 0.547030i | 0.979613 | − | 0.200893i | \(-0.0643844\pi\) |
−0.663785 | + | 0.747923i | \(0.731051\pi\) | |||||||
\(998\) | 24.5427 | − | 42.5092i | 0.776885 | − | 1.34560i | ||||
\(999\) | −2.10681 | + | 0.221435i | −0.0666565 | + | 0.00700588i |
(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 | 403.2.bs.a.4.3 | ✓ | 288 | |
13.10 | even | 6 | inner | 403.2.bs.a.283.34 | yes | 288 | |
31.8 | even | 5 | inner | 403.2.bs.a.225.34 | yes | 288 | |
403.101 | even | 30 | inner | 403.2.bs.a.101.3 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bs.a.4.3 | ✓ | 288 | 1.1 | even | 1 | trivial | |
403.2.bs.a.101.3 | yes | 288 | 403.101 | even | 30 | inner | |
403.2.bs.a.225.34 | yes | 288 | 31.8 | even | 5 | inner | |
403.2.bs.a.283.34 | yes | 288 | 13.10 | even | 6 | inner |