Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(85,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cs (of order \(6\), degree \(2\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 85.6 | ||
Character | \(\chi\) | \(=\) | 504.85 |
Dual form | 504.2.cs.a.421.6 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25626 | + | 0.649466i | −0.888311 | + | 0.459242i | ||||
\(3\) | 1.65525 | − | 0.510053i | 0.955658 | − | 0.294479i | ||||
\(4\) | 1.15639 | − | 1.63180i | 0.578194 | − | 0.815899i | ||||
\(5\) | 1.14688 | + | 0.662153i | 0.512902 | + | 0.296124i | 0.734026 | − | 0.679122i | \(-0.237639\pi\) |
−0.221124 | + | 0.975246i | \(0.570973\pi\) | |||||||
\(6\) | −1.74816 | + | 1.71579i | −0.713685 | + | 0.700467i | ||||
\(7\) | 0.500000 | + | 0.866025i | 0.188982 | + | 0.327327i | ||||
\(8\) | −0.392930 | + | 2.80100i | −0.138922 | + | 0.990303i | ||||
\(9\) | 2.47969 | − | 1.68853i | 0.826564 | − | 0.562843i | ||||
\(10\) | −1.87083 | − | 0.0869767i | −0.591609 | − | 0.0275044i | ||||
\(11\) | −2.57369 | + | 1.48592i | −0.775997 | + | 0.448022i | −0.835010 | − | 0.550235i | \(-0.814538\pi\) |
0.0590126 | + | 0.998257i | \(0.481205\pi\) | |||||||
\(12\) | 1.08181 | − | 3.29085i | 0.312290 | − | 0.949987i | ||||
\(13\) | 5.35416 | + | 3.09123i | 1.48498 | + | 0.857352i | 0.999854 | − | 0.0170931i | \(-0.00544117\pi\) |
0.485124 | + | 0.874445i | \(0.338775\pi\) | |||||||
\(14\) | −1.19058 | − | 0.763222i | −0.318197 | − | 0.203980i | ||||
\(15\) | 2.23611 | + | 0.511056i | 0.577361 | + | 0.131954i | ||||
\(16\) | −1.32553 | − | 3.77399i | −0.331383 | − | 0.943496i | ||||
\(17\) | −1.83600 | −0.445295 | −0.222647 | − | 0.974899i | \(-0.571470\pi\) | ||||
−0.222647 | + | 0.974899i | \(0.571470\pi\) | |||||||
\(18\) | −2.01850 | + | 3.73171i | −0.475765 | + | 0.879572i | ||||
\(19\) | 4.71301i | 1.08124i | 0.841267 | + | 0.540620i | \(0.181810\pi\) | ||||
−0.841267 | + | 0.540620i | \(0.818190\pi\) | |||||||
\(20\) | 2.40674 | − | 1.10578i | 0.538164 | − | 0.247259i | ||||
\(21\) | 1.26934 | + | 1.17846i | 0.276993 | + | 0.257161i | ||||
\(22\) | 2.26818 | − | 3.53823i | 0.483577 | − | 0.754354i | ||||
\(23\) | −0.697483 | + | 1.20808i | −0.145435 | + | 0.251901i | −0.929535 | − | 0.368733i | \(-0.879792\pi\) |
0.784100 | + | 0.620635i | \(0.213125\pi\) | |||||||
\(24\) | 0.778263 | + | 4.83677i | 0.158862 | + | 0.987301i | ||||
\(25\) | −1.62311 | − | 2.81130i | −0.324621 | − | 0.562260i | ||||
\(26\) | −8.73388 | − | 0.406046i | −1.71285 | − | 0.0796322i | ||||
\(27\) | 3.24326 | − | 4.05971i | 0.624167 | − | 0.781291i | ||||
\(28\) | 1.99137 | + | 0.185563i | 0.376334 | + | 0.0350680i | ||||
\(29\) | 1.51998 | − | 0.877559i | 0.282252 | − | 0.162959i | −0.352190 | − | 0.935928i | \(-0.614563\pi\) |
0.634443 | + | 0.772970i | \(0.281230\pi\) | |||||||
\(30\) | −3.14105 | + | 0.810256i | −0.573475 | + | 0.147932i | ||||
\(31\) | 4.84568 | − | 8.39296i | 0.870310 | − | 1.50742i | 0.00863308 | − | 0.999963i | \(-0.497252\pi\) |
0.861677 | − | 0.507458i | \(-0.169415\pi\) | |||||||
\(32\) | 4.11629 | + | 3.88023i | 0.727664 | + | 0.685934i | ||||
\(33\) | −3.50220 | + | 3.77229i | −0.609655 | + | 0.656671i | ||||
\(34\) | 2.30649 | − | 1.19242i | 0.395561 | − | 0.204498i | ||||
\(35\) | 1.32431i | 0.223849i | ||||||||
\(36\) | 0.112148 | − | 5.99895i | 0.0186913 | − | 0.999825i | ||||
\(37\) | − | 6.72177i | − | 1.10505i | −0.833496 | − | 0.552526i | \(-0.813664\pi\) | ||
0.833496 | − | 0.552526i | \(-0.186336\pi\) | |||||||
\(38\) | −3.06094 | − | 5.92078i | −0.496550 | − | 0.960477i | ||||
\(39\) | 10.4392 | + | 2.38584i | 1.67160 | + | 0.382040i | ||||
\(40\) | −2.30534 | + | 2.95224i | −0.364506 | + | 0.466790i | ||||
\(41\) | 0.988376 | − | 1.71192i | 0.154358 | − | 0.267357i | −0.778467 | − | 0.627686i | \(-0.784002\pi\) |
0.932825 | + | 0.360329i | \(0.117336\pi\) | |||||||
\(42\) | −2.36000 | − | 0.656060i | −0.364155 | − | 0.101232i | ||||
\(43\) | −5.25491 | + | 3.03392i | −0.801366 | + | 0.462669i | −0.843948 | − | 0.536424i | \(-0.819775\pi\) |
0.0425828 | + | 0.999093i | \(0.486441\pi\) | |||||||
\(44\) | −0.551463 | + | 5.91805i | −0.0831362 | + | 0.892179i | ||||
\(45\) | 3.96198 | − | 0.294610i | 0.590617 | − | 0.0439178i | ||||
\(46\) | 0.0916174 | − | 1.97065i | 0.0135083 | − | 0.290557i | ||||
\(47\) | 5.91564 | + | 10.2462i | 0.862885 | + | 1.49456i | 0.869132 | + | 0.494580i | \(0.164678\pi\) |
−0.00624764 | + | 0.999980i | \(0.501989\pi\) | |||||||
\(48\) | −4.11902 | − | 5.57079i | −0.594529 | − | 0.804074i | ||||
\(49\) | −0.500000 | + | 0.866025i | −0.0714286 | + | 0.123718i | ||||
\(50\) | 3.86489 | + | 2.47758i | 0.546578 | + | 0.350383i | ||||
\(51\) | −3.03903 | + | 0.936457i | −0.425550 | + | 0.131130i | ||||
\(52\) | 11.2358 | − | 5.16226i | 1.55812 | − | 0.715876i | ||||
\(53\) | − | 1.53947i | − | 0.211463i | −0.994395 | − | 0.105731i | \(-0.966282\pi\) | ||
0.994395 | − | 0.105731i | \(-0.0337184\pi\) | |||||||
\(54\) | −1.43775 | + | 7.20645i | −0.195653 | + | 0.980673i | ||||
\(55\) | −3.93563 | −0.530681 | ||||||||
\(56\) | −2.62220 | + | 1.06021i | −0.350407 | + | 0.141677i | ||||
\(57\) | 2.40389 | + | 7.80121i | 0.318403 | + | 1.03330i | ||||
\(58\) | −1.33954 | + | 2.08962i | −0.175891 | + | 0.274380i | ||||
\(59\) | −5.83614 | − | 3.36950i | −0.759801 | − | 0.438672i | 0.0694231 | − | 0.997587i | \(-0.477884\pi\) |
−0.829224 | + | 0.558916i | \(0.811217\pi\) | |||||||
\(60\) | 3.41975 | − | 3.05790i | 0.441488 | − | 0.394773i | ||||
\(61\) | −3.12079 | + | 1.80179i | −0.399577 | + | 0.230696i | −0.686301 | − | 0.727317i | \(-0.740767\pi\) |
0.286725 | + | 0.958013i | \(0.407434\pi\) | |||||||
\(62\) | −0.636501 | + | 13.6909i | −0.0808357 | + | 1.73874i | ||||
\(63\) | 2.70215 | + | 1.30321i | 0.340440 | + | 0.164189i | ||||
\(64\) | −7.69121 | − | 2.20119i | −0.961402 | − | 0.275149i | ||||
\(65\) | 4.09373 | + | 7.09055i | 0.507765 | + | 0.879475i | ||||
\(66\) | 1.94971 | − | 7.01354i | 0.239992 | − | 0.863307i | ||||
\(67\) | −0.676090 | − | 0.390341i | −0.0825975 | − | 0.0476877i | 0.458132 | − | 0.888884i | \(-0.348519\pi\) |
−0.540730 | + | 0.841196i | \(0.681852\pi\) | |||||||
\(68\) | −2.12313 | + | 2.99598i | −0.257467 | + | 0.363316i | ||||
\(69\) | −0.538324 | + | 2.35542i | −0.0648067 | + | 0.283559i | ||||
\(70\) | −0.860092 | − | 1.66368i | −0.102801 | − | 0.198847i | ||||
\(71\) | −3.54831 | −0.421107 | −0.210553 | − | 0.977582i | \(-0.567527\pi\) | ||||
−0.210553 | + | 0.977582i | \(0.567527\pi\) | |||||||
\(72\) | 3.75523 | + | 7.60909i | 0.442558 | + | 0.896740i | ||||
\(73\) | 12.3283 | 1.44292 | 0.721459 | − | 0.692457i | \(-0.243472\pi\) | ||||
0.721459 | + | 0.692457i | \(0.243472\pi\) | |||||||
\(74\) | 4.36556 | + | 8.44430i | 0.507486 | + | 0.981630i | ||||
\(75\) | −4.12056 | − | 3.82553i | −0.475801 | − | 0.441734i | ||||
\(76\) | 7.69069 | + | 5.45007i | 0.882182 | + | 0.625166i | ||||
\(77\) | −2.57369 | − | 1.48592i | −0.293299 | − | 0.169336i | ||||
\(78\) | −14.6638 | + | 3.78264i | −1.66035 | + | 0.428299i | ||||
\(79\) | −1.15576 | − | 2.00184i | −0.130033 | − | 0.225224i | 0.793656 | − | 0.608367i | \(-0.208175\pi\) |
−0.923689 | + | 0.383143i | \(0.874842\pi\) | |||||||
\(80\) | 0.978727 | − | 5.20603i | 0.109425 | − | 0.582051i | ||||
\(81\) | 3.29774 | − | 8.37406i | 0.366415 | − | 0.930451i | ||||
\(82\) | −0.129827 | + | 2.79253i | −0.0143370 | + | 0.308384i | ||||
\(83\) | −8.80441 | + | 5.08323i | −0.966409 | + | 0.557957i | −0.898140 | − | 0.439710i | \(-0.855081\pi\) |
−0.0682695 | + | 0.997667i | \(0.521748\pi\) | |||||||
\(84\) | 3.39086 | − | 0.708554i | 0.369973 | − | 0.0773096i | ||||
\(85\) | −2.10568 | − | 1.21571i | −0.228393 | − | 0.131863i | ||||
\(86\) | 4.63111 | − | 7.22428i | 0.499386 | − | 0.779014i | ||||
\(87\) | 2.06834 | − | 2.22785i | 0.221749 | − | 0.238850i | ||||
\(88\) | −3.15079 | − | 7.79278i | −0.335875 | − | 0.830713i | ||||
\(89\) | −8.90082 | −0.943485 | −0.471743 | − | 0.881736i | \(-0.656375\pi\) | ||||
−0.471743 | + | 0.881736i | \(0.656375\pi\) | |||||||
\(90\) | −4.78595 | + | 2.94328i | −0.504483 | + | 0.310249i | ||||
\(91\) | 6.18246i | 0.648097i | ||||||||
\(92\) | 1.16478 | + | 2.53516i | 0.121436 | + | 0.264308i | ||||
\(93\) | 3.73994 | − | 16.3640i | 0.387814 | − | 1.69687i | ||||
\(94\) | −14.0861 | − | 9.02989i | −1.45287 | − | 0.931362i | ||||
\(95\) | −3.12074 | + | 5.40528i | −0.320181 | + | 0.554570i | ||||
\(96\) | 8.79260 | + | 4.32321i | 0.897391 | + | 0.441236i | ||||
\(97\) | −0.132938 | − | 0.230255i | −0.0134978 | − | 0.0233788i | 0.859198 | − | 0.511644i | \(-0.170963\pi\) |
−0.872695 | + | 0.488265i | \(0.837630\pi\) | |||||||
\(98\) | 0.0656772 | − | 1.41269i | 0.00663439 | − | 0.142703i | ||||
\(99\) | −3.87294 | + | 8.03038i | −0.389245 | + | 0.807084i | ||||
\(100\) | −6.46442 | − | 0.602376i | −0.646442 | − | 0.0602376i | ||||
\(101\) | 9.68229 | − | 5.59007i | 0.963424 | − | 0.556233i | 0.0661989 | − | 0.997806i | \(-0.478913\pi\) |
0.897225 | + | 0.441573i | \(0.145579\pi\) | |||||||
\(102\) | 3.20962 | − | 3.15018i | 0.317800 | − | 0.311915i | ||||
\(103\) | −3.56706 | + | 6.17833i | −0.351473 | + | 0.608769i | −0.986508 | − | 0.163714i | \(-0.947652\pi\) |
0.635035 | + | 0.772484i | \(0.280986\pi\) | |||||||
\(104\) | −10.7623 | + | 13.7824i | −1.05533 | + | 1.35147i | ||||
\(105\) | 0.675467 | + | 2.19206i | 0.0659188 | + | 0.213923i | ||||
\(106\) | 0.999835 | + | 1.93398i | 0.0971126 | + | 0.187845i | ||||
\(107\) | − | 18.8819i | − | 1.82538i | −0.408652 | − | 0.912690i | \(-0.634001\pi\) | ||
0.408652 | − | 0.912690i | \(-0.365999\pi\) | |||||||
\(108\) | −2.87415 | − | 9.98695i | −0.276565 | − | 0.960995i | ||||
\(109\) | 9.50170i | 0.910098i | 0.890466 | + | 0.455049i | \(0.150378\pi\) | ||||
−0.890466 | + | 0.455049i | \(0.849622\pi\) | |||||||
\(110\) | 4.94418 | − | 2.55606i | 0.471410 | − | 0.243711i | ||||
\(111\) | −3.42846 | − | 11.1262i | −0.325415 | − | 1.05605i | ||||
\(112\) | 2.60560 | − | 3.03494i | 0.246206 | − | 0.286775i | ||||
\(113\) | 5.84059 | − | 10.1162i | 0.549437 | − | 0.951652i | −0.448876 | − | 0.893594i | \(-0.648176\pi\) |
0.998313 | − | 0.0580586i | \(-0.0184910\pi\) | |||||||
\(114\) | −8.08653 | − | 8.23912i | −0.757373 | − | 0.771664i | ||||
\(115\) | −1.59986 | + | 0.923682i | −0.149188 | + | 0.0861338i | ||||
\(116\) | 0.325684 | − | 3.49509i | 0.0302390 | − | 0.324511i | ||||
\(117\) | 18.4963 | − | 1.37537i | 1.70998 | − | 0.127153i | ||||
\(118\) | 9.52010 | + | 0.442598i | 0.876396 | + | 0.0407445i | ||||
\(119\) | −0.917999 | − | 1.59002i | −0.0841528 | − | 0.145757i | ||||
\(120\) | −2.31010 | + | 6.06254i | −0.210883 | + | 0.553431i | ||||
\(121\) | −1.08407 | + | 1.87767i | −0.0985522 | + | 0.170697i | ||||
\(122\) | 2.75033 | − | 4.29037i | 0.249003 | − | 0.388432i | ||||
\(123\) | 0.762838 | − | 3.33777i | 0.0687828 | − | 0.300957i | ||||
\(124\) | −8.09213 | − | 17.6127i | −0.726695 | − | 1.58167i | ||||
\(125\) | − | 10.9205i | − | 0.976760i | ||||||
\(126\) | −4.24101 | + | 0.117782i | −0.377819 | + | 0.0104929i | ||||
\(127\) | −7.53198 | −0.668355 | −0.334178 | − | 0.942510i | \(-0.608459\pi\) | ||||
−0.334178 | + | 0.942510i | \(0.608459\pi\) | |||||||
\(128\) | 11.0918 | − | 2.22990i | 0.980384 | − | 0.197098i | ||||
\(129\) | −7.15071 | + | 7.70217i | −0.629585 | + | 0.678139i | ||||
\(130\) | −9.74787 | − | 6.24885i | −0.854945 | − | 0.548061i | ||||
\(131\) | −14.6741 | − | 8.47208i | −1.28208 | − | 0.740209i | −0.304851 | − | 0.952400i | \(-0.598607\pi\) |
−0.977228 | + | 0.212191i | \(0.931940\pi\) | |||||||
\(132\) | 2.10571 | + | 10.0771i | 0.183279 | + | 0.877100i | ||||
\(133\) | −4.08159 | + | 2.35651i | −0.353919 | + | 0.204335i | ||||
\(134\) | 1.10286 | + | 0.0512729i | 0.0952725 | + | 0.00442931i | ||||
\(135\) | 6.40780 | − | 2.50847i | 0.551495 | − | 0.215895i | ||||
\(136\) | 0.721418 | − | 5.14263i | 0.0618611 | − | 0.440977i | ||||
\(137\) | −7.78721 | − | 13.4878i | −0.665306 | − | 1.15234i | −0.979202 | − | 0.202887i | \(-0.934968\pi\) |
0.313896 | − | 0.949457i | \(-0.398366\pi\) | |||||||
\(138\) | −0.853488 | − | 3.30865i | −0.0726537 | − | 0.281651i | ||||
\(139\) | −16.7304 | − | 9.65929i | −1.41905 | − | 0.819290i | −0.422837 | − | 0.906206i | \(-0.638966\pi\) |
−0.996216 | + | 0.0869157i | \(0.972299\pi\) | |||||||
\(140\) | 2.16100 | + | 1.53141i | 0.182638 | + | 0.129428i | ||||
\(141\) | 15.0180 | + | 13.9427i | 1.26474 | + | 1.17419i | ||||
\(142\) | 4.45760 | − | 2.30450i | 0.374074 | − | 0.193390i | ||||
\(143\) | −18.3733 | −1.53645 | ||||||||
\(144\) | −9.65939 | − | 7.12012i | −0.804949 | − | 0.593343i | ||||
\(145\) | 2.32431 | 0.193024 | ||||||||
\(146\) | −15.4876 | + | 8.00681i | −1.28176 | + | 0.662648i | ||||
\(147\) | −0.385905 | + | 1.68851i | −0.0318289 | + | 0.139266i | ||||
\(148\) | −10.9686 | − | 7.77298i | −0.901611 | − | 0.638935i | ||||
\(149\) | −3.88437 | − | 2.24264i | −0.318220 | − | 0.183724i | 0.332379 | − | 0.943146i | \(-0.392149\pi\) |
−0.650599 | + | 0.759422i | \(0.725482\pi\) | |||||||
\(150\) | 7.66105 | + | 2.12971i | 0.625522 | + | 0.173890i | ||||
\(151\) | −6.95965 | − | 12.0545i | −0.566368 | − | 0.980978i | −0.996921 | − | 0.0784131i | \(-0.975015\pi\) |
0.430553 | − | 0.902565i | \(-0.358319\pi\) | |||||||
\(152\) | −13.2012 | − | 1.85188i | −1.07076 | − | 0.150208i | ||||
\(153\) | −4.55271 | + | 3.10014i | −0.368065 | + | 0.250631i | ||||
\(154\) | 4.19829 | + | 0.195182i | 0.338308 | + | 0.0157282i | ||||
\(155\) | 11.1149 | − | 6.41717i | 0.892767 | − | 0.515439i | ||||
\(156\) | 15.9649 | − | 14.2756i | 1.27822 | − | 1.14297i | ||||
\(157\) | −12.2973 | − | 7.09986i | −0.981432 | − | 0.566630i | −0.0787300 | − | 0.996896i | \(-0.525086\pi\) |
−0.902702 | + | 0.430266i | \(0.858420\pi\) | |||||||
\(158\) | 2.75206 | + | 1.76420i | 0.218942 | + | 0.140352i | ||||
\(159\) | −0.785213 | − | 2.54821i | −0.0622715 | − | 0.202086i | ||||
\(160\) | 2.15160 | + | 7.17578i | 0.170099 | + | 0.567295i | ||||
\(161\) | −1.39497 | −0.109939 | ||||||||
\(162\) | 1.29584 | + | 12.6618i | 0.101811 | + | 0.994804i | ||||
\(163\) | 15.8477i | 1.24129i | 0.784092 | + | 0.620645i | \(0.213129\pi\) | ||||
−0.784092 | + | 0.620645i | \(0.786871\pi\) | |||||||
\(164\) | −1.65056 | − | 3.59247i | −0.128887 | − | 0.280525i | ||||
\(165\) | −6.51445 | + | 2.00738i | −0.507149 | + | 0.156274i | ||||
\(166\) | 7.75926 | − | 12.1040i | 0.602235 | − | 0.939454i | ||||
\(167\) | 5.67624 | − | 9.83153i | 0.439241 | − | 0.760787i | −0.558391 | − | 0.829578i | \(-0.688581\pi\) |
0.997631 | + | 0.0687913i | \(0.0219143\pi\) | |||||||
\(168\) | −3.79963 | + | 3.09238i | −0.293148 | + | 0.238582i | ||||
\(169\) | 12.6114 | + | 21.8435i | 0.970106 | + | 1.68027i | ||||
\(170\) | 3.43484 | + | 0.159689i | 0.263441 | + | 0.0122476i | ||||
\(171\) | 7.95806 | + | 11.6868i | 0.608568 | + | 0.893713i | ||||
\(172\) | −1.12596 | + | 12.0833i | −0.0858540 | + | 0.921346i | ||||
\(173\) | −2.40122 | + | 1.38635i | −0.182562 | + | 0.105402i | −0.588496 | − | 0.808500i | \(-0.700280\pi\) |
0.405934 | + | 0.913902i | \(0.366946\pi\) | |||||||
\(174\) | −1.15146 | + | 4.14207i | −0.0872921 | + | 0.314010i | ||||
\(175\) | 1.62311 | − | 2.81130i | 0.122695 | − | 0.212514i | ||||
\(176\) | 9.01936 | + | 7.74344i | 0.679860 | + | 0.583684i | ||||
\(177\) | −11.3789 | − | 2.60061i | −0.855290 | − | 0.195474i | ||||
\(178\) | 11.1818 | − | 5.78078i | 0.838109 | − | 0.433288i | ||||
\(179\) | 25.7248i | 1.92276i | 0.275226 | + | 0.961380i | \(0.411247\pi\) | ||||
−0.275226 | + | 0.961380i | \(0.588753\pi\) | |||||||
\(180\) | 4.10085 | − | 6.80584i | 0.305659 | − | 0.507277i | ||||
\(181\) | 19.1221i | 1.42133i | 0.703529 | + | 0.710667i | \(0.251607\pi\) | ||||
−0.703529 | + | 0.710667i | \(0.748393\pi\) | |||||||
\(182\) | −4.01529 | − | 7.76678i | −0.297633 | − | 0.575712i | ||||
\(183\) | −4.24668 | + | 4.57418i | −0.313923 | + | 0.338133i | ||||
\(184\) | −3.10976 | − | 2.42834i | −0.229255 | − | 0.179020i | ||||
\(185\) | 4.45084 | − | 7.70908i | 0.327232 | − | 0.566783i | ||||
\(186\) | 5.92950 | + | 22.9864i | 0.434772 | + | 1.68545i | ||||
\(187\) | 4.72529 | − | 2.72815i | 0.345548 | − | 0.199502i | ||||
\(188\) | 23.5605 | + | 2.19544i | 1.71833 | + | 0.160119i | ||||
\(189\) | 5.13744 | + | 0.778895i | 0.373694 | + | 0.0566563i | ||||
\(190\) | 0.409922 | − | 8.81726i | 0.0297389 | − | 0.639671i | ||||
\(191\) | 13.1819 | + | 22.8318i | 0.953811 | + | 1.65205i | 0.737066 | + | 0.675820i | \(0.236211\pi\) |
0.216744 | + | 0.976228i | \(0.430456\pi\) | |||||||
\(192\) | −13.8536 | + | 0.279407i | −0.999797 | + | 0.0201645i | ||||
\(193\) | 8.35398 | − | 14.4695i | 0.601333 | − | 1.04154i | −0.391287 | − | 0.920269i | \(-0.627970\pi\) |
0.992620 | − | 0.121270i | \(-0.0386967\pi\) | |||||||
\(194\) | 0.316547 | + | 0.202922i | 0.0227267 | + | 0.0145689i | ||||
\(195\) | 10.3927 | + | 9.64860i | 0.744237 | + | 0.690951i | ||||
\(196\) | 0.834985 | + | 1.81736i | 0.0596418 | + | 0.129811i | ||||
\(197\) | − | 0.543701i | − | 0.0387371i | −0.999812 | − | 0.0193685i | \(-0.993834\pi\) | ||
0.999812 | − | 0.0193685i | \(-0.00616558\pi\) | |||||||
\(198\) | −0.350031 | − | 12.6036i | −0.0248756 | − | 0.895699i | ||||
\(199\) | −15.8980 | −1.12698 | −0.563491 | − | 0.826122i | \(-0.690542\pi\) | ||||
−0.563491 | + | 0.826122i | \(0.690542\pi\) | |||||||
\(200\) | 8.51223 | − | 3.44168i | 0.601905 | − | 0.243363i | ||||
\(201\) | −1.31819 | − | 0.301269i | −0.0929780 | − | 0.0212499i | ||||
\(202\) | −8.53293 | + | 13.3109i | −0.600375 | + | 0.936553i | ||||
\(203\) | 1.51998 | + | 0.877559i | 0.106681 | + | 0.0615925i | ||||
\(204\) | −1.98619 | + | 6.04200i | −0.139061 | + | 0.423024i | ||||
\(205\) | 2.26710 | − | 1.30891i | 0.158341 | − | 0.0914184i | ||||
\(206\) | 0.468549 | − | 10.0783i | 0.0326453 | − | 0.702188i | ||||
\(207\) | 0.310329 | + | 4.17338i | 0.0215694 | + | 0.290070i | ||||
\(208\) | 4.56914 | − | 24.3041i | 0.316813 | − | 1.68518i | ||||
\(209\) | −7.00317 | − | 12.1298i | −0.484419 | − | 0.839039i | ||||
\(210\) | −2.27223 | − | 2.31510i | −0.156799 | − | 0.159757i | ||||
\(211\) | −9.68441 | − | 5.59130i | −0.666703 | − | 0.384921i | 0.128124 | − | 0.991758i | \(-0.459105\pi\) |
−0.794826 | + | 0.606837i | \(0.792438\pi\) | |||||||
\(212\) | −2.51211 | − | 1.78023i | −0.172532 | − | 0.122267i | ||||
\(213\) | −5.87333 | + | 1.80983i | −0.402434 | + | 0.124007i | ||||
\(214\) | 12.2631 | + | 23.7206i | 0.838291 | + | 1.62151i | ||||
\(215\) | −8.03569 | −0.548029 | ||||||||
\(216\) | 10.0969 | + | 10.6796i | 0.687005 | + | 0.726652i | ||||
\(217\) | 9.69136 | 0.657892 | ||||||||
\(218\) | −6.17103 | − | 11.9366i | −0.417955 | − | 0.808450i | ||||
\(219\) | 20.4064 | − | 6.28809i | 1.37894 | − | 0.424910i | ||||
\(220\) | −4.55112 | + | 6.42216i | −0.306836 | + | 0.432982i | ||||
\(221\) | −9.83024 | − | 5.67549i | −0.661253 | − | 0.381775i | ||||
\(222\) | 11.5331 | + | 11.7507i | 0.774053 | + | 0.788659i | ||||
\(223\) | −6.25767 | − | 10.8386i | −0.419044 | − | 0.725806i | 0.576799 | − | 0.816886i | \(-0.304302\pi\) |
−0.995844 | + | 0.0910797i | \(0.970968\pi\) | |||||||
\(224\) | −1.30223 | + | 5.50492i | −0.0870089 | + | 0.367813i | ||||
\(225\) | −8.77177 | − | 4.23050i | −0.584784 | − | 0.282033i | ||||
\(226\) | −0.767187 | + | 16.5019i | −0.0510325 | + | 1.09769i | ||||
\(227\) | 12.7359 | − | 7.35306i | 0.845310 | − | 0.488040i | −0.0137557 | − | 0.999905i | \(-0.504379\pi\) |
0.859066 | + | 0.511865i | \(0.171045\pi\) | |||||||
\(228\) | 15.5098 | + | 5.09856i | 1.02716 | + | 0.337661i | ||||
\(229\) | 23.5034 | + | 13.5697i | 1.55315 | + | 0.896710i | 0.997883 | + | 0.0650356i | \(0.0207161\pi\) |
0.555264 | + | 0.831674i | \(0.312617\pi\) | |||||||
\(230\) | 1.40995 | − | 2.19944i | 0.0929692 | − | 0.145027i | ||||
\(231\) | −5.01800 | − | 1.14685i | −0.330160 | − | 0.0754571i | ||||
\(232\) | 1.86080 | + | 4.60227i | 0.122167 | + | 0.302154i | ||||
\(233\) | −7.00103 | −0.458653 | −0.229326 | − | 0.973350i | \(-0.573652\pi\) | ||||
−0.229326 | + | 0.973350i | \(0.573652\pi\) | |||||||
\(234\) | −22.3429 | + | 13.7405i | −1.46060 | + | 0.898247i | ||||
\(235\) | 15.6682i | 1.02208i | ||||||||
\(236\) | −12.2472 | + | 5.62696i | −0.797224 | + | 0.366284i | ||||
\(237\) | −2.93411 | − | 2.72403i | −0.190591 | − | 0.176945i | ||||
\(238\) | 2.18591 | + | 1.40127i | 0.141692 | + | 0.0908311i | ||||
\(239\) | −7.08490 | + | 12.2714i | −0.458284 | + | 0.793771i | −0.998870 | − | 0.0475173i | \(-0.984869\pi\) |
0.540586 | + | 0.841289i | \(0.318202\pi\) | |||||||
\(240\) | −1.03531 | − | 9.11647i | −0.0668292 | − | 0.588465i | ||||
\(241\) | 0.458251 | + | 0.793714i | 0.0295185 | + | 0.0511276i | 0.880407 | − | 0.474218i | \(-0.157269\pi\) |
−0.850889 | + | 0.525346i | \(0.823936\pi\) | |||||||
\(242\) | 0.142398 | − | 3.06292i | 0.00915367 | − | 0.196892i | ||||
\(243\) | 1.18736 | − | 15.5432i | 0.0761691 | − | 0.997095i | ||||
\(244\) | −0.668690 | + | 7.17608i | −0.0428085 | + | 0.459401i | ||||
\(245\) | −1.14688 | + | 0.662153i | −0.0732717 | + | 0.0423034i | ||||
\(246\) | 1.20944 | + | 4.68855i | 0.0771113 | + | 0.298931i | ||||
\(247\) | −14.5690 | + | 25.2342i | −0.927003 | + | 1.60562i | ||||
\(248\) | 21.6047 | + | 16.8706i | 1.37190 | + | 1.07128i | ||||
\(249\) | −11.9808 | + | 12.9047i | −0.759250 | + | 0.817803i | ||||
\(250\) | 7.09250 | + | 13.7190i | 0.448569 | + | 0.867667i | ||||
\(251\) | − | 11.2597i | − | 0.710705i | −0.934732 | − | 0.355353i | \(-0.884361\pi\) | ||
0.934732 | − | 0.355353i | \(-0.115639\pi\) | |||||||
\(252\) | 5.25132 | − | 2.90235i | 0.330802 | − | 0.182831i | ||||
\(253\) | − | 4.14562i | − | 0.260633i | ||||||
\(254\) | 9.46214 | − | 4.89176i | 0.593708 | − | 0.306937i | ||||
\(255\) | −4.10549 | − | 0.938299i | −0.257096 | − | 0.0587585i | ||||
\(256\) | −12.4859 | + | 10.0051i | −0.780371 | + | 0.625317i | ||||
\(257\) | 9.32244 | − | 16.1469i | 0.581518 | − | 1.00722i | −0.413782 | − | 0.910376i | \(-0.635792\pi\) |
0.995300 | − | 0.0968426i | \(-0.0308743\pi\) | |||||||
\(258\) | 3.98087 | − | 14.3201i | 0.247838 | − | 0.891530i | ||||
\(259\) | 5.82122 | − | 3.36088i | 0.361713 | − | 0.208835i | ||||
\(260\) | 16.3043 | + | 1.51929i | 1.01115 | + | 0.0942222i | ||||
\(261\) | 2.28729 | − | 4.74260i | 0.141580 | − | 0.293559i | ||||
\(262\) | 23.9368 | + | 1.11284i | 1.47882 | + | 0.0687517i | ||||
\(263\) | 7.01018 | + | 12.1420i | 0.432266 | + | 0.748707i | 0.997068 | − | 0.0765196i | \(-0.0243808\pi\) |
−0.564802 | + | 0.825226i | \(0.691047\pi\) | |||||||
\(264\) | −9.19007 | − | 11.2919i | −0.565609 | − | 0.694969i | ||||
\(265\) | 1.01937 | − | 1.76560i | 0.0626192 | − | 0.108460i | ||||
\(266\) | 3.59708 | − | 5.61124i | 0.220551 | − | 0.344047i | ||||
\(267\) | −14.7331 | + | 4.53989i | −0.901649 | + | 0.277837i | ||||
\(268\) | −1.41878 | + | 0.651857i | −0.0866658 | + | 0.0398185i | ||||
\(269\) | − | 9.69756i | − | 0.591271i | −0.955301 | − | 0.295635i | \(-0.904469\pi\) | ||
0.955301 | − | 0.295635i | \(-0.0955313\pi\) | |||||||
\(270\) | −6.42070 | + | 7.31294i | −0.390751 | + | 0.445052i | ||||
\(271\) | 13.0316 | 0.791611 | 0.395805 | − | 0.918334i | \(-0.370466\pi\) | ||||
0.395805 | + | 0.918334i | \(0.370466\pi\) | |||||||
\(272\) | 2.43367 | + | 6.92903i | 0.147563 | + | 0.420134i | ||||
\(273\) | 3.15338 | + | 10.2335i | 0.190851 | + | 0.619359i | ||||
\(274\) | 18.5427 | + | 11.8867i | 1.12020 | + | 0.718104i | ||||
\(275\) | 8.35475 | + | 4.82362i | 0.503810 | + | 0.290875i | ||||
\(276\) | 3.22106 | + | 3.60222i | 0.193885 | + | 0.216828i | ||||
\(277\) | 7.92057 | − | 4.57294i | 0.475901 | − | 0.274761i | −0.242806 | − | 0.970075i | \(-0.578068\pi\) |
0.718707 | + | 0.695314i | \(0.244734\pi\) | |||||||
\(278\) | 27.2911 | + | 1.26879i | 1.63681 | + | 0.0760969i | ||||
\(279\) | −2.15597 | − | 28.9940i | −0.129075 | − | 1.73583i | ||||
\(280\) | −3.70938 | − | 0.520359i | −0.221678 | − | 0.0310974i | ||||
\(281\) | 7.48789 | + | 12.9694i | 0.446690 | + | 0.773690i | 0.998168 | − | 0.0604991i | \(-0.0192692\pi\) |
−0.551478 | + | 0.834190i | \(0.685936\pi\) | |||||||
\(282\) | −27.9218 | − | 7.76203i | −1.66272 | − | 0.462222i | ||||
\(283\) | −4.95482 | − | 2.86067i | −0.294533 | − | 0.170049i | 0.345451 | − | 0.938437i | \(-0.387726\pi\) |
−0.639985 | + | 0.768388i | \(0.721059\pi\) | |||||||
\(284\) | −4.10322 | + | 5.79012i | −0.243481 | + | 0.343581i | ||||
\(285\) | −2.40862 | + | 10.5388i | −0.142674 | + | 0.624266i | ||||
\(286\) | 23.0817 | − | 11.9328i | 1.36485 | − | 0.705603i | ||||
\(287\) | 1.97675 | 0.116684 | ||||||||
\(288\) | 16.7590 | + | 2.67129i | 0.987534 | + | 0.157407i | ||||
\(289\) | −13.6291 | −0.801712 | ||||||||
\(290\) | −2.91995 | + | 1.50956i | −0.171465 | + | 0.0886445i | ||||
\(291\) | −0.337487 | − | 0.313323i | −0.0197838 | − | 0.0183673i | ||||
\(292\) | 14.2563 | − | 20.1173i | 0.834287 | − | 1.17728i | ||||
\(293\) | −5.20239 | − | 3.00360i | −0.303927 | − | 0.175472i | 0.340279 | − | 0.940325i | \(-0.389479\pi\) |
−0.644206 | + | 0.764852i | \(0.722812\pi\) | |||||||
\(294\) | −0.611834 | − | 2.37185i | −0.0356829 | − | 0.138329i | ||||
\(295\) | −4.46225 | − | 7.72885i | −0.259802 | − | 0.449991i | ||||
\(296\) | 18.8277 | + | 2.64118i | 1.09434 | + | 0.153516i | ||||
\(297\) | −2.31475 | + | 15.2677i | −0.134316 | + | 0.885920i | ||||
\(298\) | 6.33630 | + | 0.294580i | 0.367052 | + | 0.0170646i | ||||
\(299\) | −7.46888 | + | 4.31216i | −0.431936 | + | 0.249379i | ||||
\(300\) | −11.0075 | + | 2.30012i | −0.635516 | + | 0.132797i | ||||
\(301\) | −5.25491 | − | 3.03392i | −0.302888 | − | 0.174872i | ||||
\(302\) | 16.5721 | + | 10.6235i | 0.953617 | + | 0.611315i | ||||
\(303\) | 13.1754 | − | 14.1914i | 0.756905 | − | 0.815277i | ||||
\(304\) | 17.7868 | − | 6.24725i | 1.02015 | − | 0.358304i | ||||
\(305\) | −4.77225 | −0.273258 | ||||||||
\(306\) | 3.70596 | − | 6.85141i | 0.211856 | − | 0.391669i | ||||
\(307\) | 20.6804i | 1.18030i | 0.807295 | + | 0.590148i | \(0.200930\pi\) | ||||
−0.807295 | + | 0.590148i | \(0.799070\pi\) | |||||||
\(308\) | −5.40091 | + | 2.48144i | −0.307746 | + | 0.141393i | ||||
\(309\) | −2.75309 | + | 12.0461i | −0.156618 | + | 0.685276i | ||||
\(310\) | −9.79544 | + | 15.2804i | −0.556344 | + | 0.867866i | ||||
\(311\) | 5.09193 | − | 8.81949i | 0.288737 | − | 0.500107i | −0.684771 | − | 0.728758i | \(-0.740098\pi\) |
0.973509 | + | 0.228651i | \(0.0734313\pi\) | |||||||
\(312\) | −10.7846 | + | 28.3026i | −0.610558 | + | 1.60232i | ||||
\(313\) | 4.79130 | + | 8.29877i | 0.270820 | + | 0.469074i | 0.969072 | − | 0.246778i | \(-0.0793718\pi\) |
−0.698252 | + | 0.715852i | \(0.746038\pi\) | |||||||
\(314\) | 20.0598 | + | 0.932597i | 1.13204 | + | 0.0526295i | ||||
\(315\) | 2.23613 | + | 3.28387i | 0.125992 | + | 0.185025i | ||||
\(316\) | −4.60310 | − | 0.428932i | −0.258945 | − | 0.0241293i | ||||
\(317\) | −19.2474 | + | 11.1125i | −1.08104 | + | 0.624140i | −0.931177 | − | 0.364566i | \(-0.881217\pi\) |
−0.149865 | + | 0.988706i | \(0.547884\pi\) | |||||||
\(318\) | 2.64141 | + | 2.69125i | 0.148123 | + | 0.150918i | ||||
\(319\) | −2.60797 | + | 4.51713i | −0.146018 | + | 0.252911i | ||||
\(320\) | −7.36340 | − | 7.61727i | −0.411626 | − | 0.425819i | ||||
\(321\) | −9.63077 | − | 31.2542i | −0.537537 | − | 1.74444i | ||||
\(322\) | 1.75244 | − | 0.905983i | 0.0976599 | − | 0.0504885i | ||||
\(323\) | − | 8.65309i | − | 0.481471i | ||||||
\(324\) | −9.85131 | − | 15.0649i | −0.547295 | − | 0.836940i | ||||
\(325\) | − | 20.0696i | − | 1.11326i | ||||||
\(326\) | −10.2926 | − | 19.9089i | −0.570052 | − | 1.10265i | ||||
\(327\) | 4.84637 | + | 15.7277i | 0.268005 | + | 0.869742i | ||||
\(328\) | 4.40672 | + | 3.44110i | 0.243320 | + | 0.190003i | ||||
\(329\) | −5.91564 | + | 10.2462i | −0.326140 | + | 0.564891i | ||||
\(330\) | 6.88013 | − | 6.75271i | 0.378738 | − | 0.371724i | ||||
\(331\) | 6.36605 | − | 3.67544i | 0.349910 | − | 0.202021i | −0.314736 | − | 0.949179i | \(-0.601916\pi\) |
0.664646 | + | 0.747159i | \(0.268583\pi\) | |||||||
\(332\) | −1.88651 | + | 20.2452i | −0.103536 | + | 1.11110i | ||||
\(333\) | −11.3499 | − | 16.6679i | −0.621971 | − | 0.913396i | ||||
\(334\) | −0.745598 | + | 16.0375i | −0.0407973 | + | 0.877533i | ||||
\(335\) | −0.516931 | − | 0.895350i | −0.0282429 | − | 0.0489182i | ||||
\(336\) | 2.76494 | − | 6.35257i | 0.150840 | − | 0.346561i | ||||
\(337\) | −14.3414 | + | 24.8401i | −0.781227 | + | 1.35313i | 0.150000 | + | 0.988686i | \(0.452073\pi\) |
−0.931227 | + | 0.364439i | \(0.881261\pi\) | |||||||
\(338\) | −30.0298 | − | 19.2506i | −1.63341 | − | 1.04709i | ||||
\(339\) | 4.50783 | − | 19.7238i | 0.244832 | − | 1.07125i | ||||
\(340\) | −4.41878 | + | 2.03020i | −0.239642 | + | 0.110103i | ||||
\(341\) | 28.8012i | 1.55967i | ||||||||
\(342\) | −17.5876 | − | 9.51322i | −0.951028 | − | 0.514416i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | −6.43321 | − | 15.9111i | −0.346855 | − | 0.857870i | ||||
\(345\) | −2.17704 | + | 2.34494i | −0.117208 | + | 0.126247i | ||||
\(346\) | 2.11618 | − | 3.30113i | 0.113767 | − | 0.177470i | ||||
\(347\) | 15.7002 | + | 9.06450i | 0.842830 | + | 0.486608i | 0.858225 | − | 0.513274i | \(-0.171567\pi\) |
−0.0153954 | + | 0.999881i | \(0.504901\pi\) | |||||||
\(348\) | −1.24360 | − | 5.95136i | −0.0666637 | − | 0.319026i | ||||
\(349\) | −5.69310 | + | 3.28691i | −0.304744 | + | 0.175944i | −0.644572 | − | 0.764543i | \(-0.722965\pi\) |
0.339828 | + | 0.940488i | \(0.389631\pi\) | |||||||
\(350\) | −0.213202 | + | 4.58588i | −0.0113961 | + | 0.245126i | ||||
\(351\) | 29.9145 | − | 11.7107i | 1.59672 | − | 0.625070i | ||||
\(352\) | −16.3598 | − | 3.87003i | −0.871979 | − | 0.206273i | ||||
\(353\) | −11.8747 | − | 20.5676i | −0.632028 | − | 1.09470i | −0.987136 | − | 0.159880i | \(-0.948889\pi\) |
0.355108 | − | 0.934825i | \(-0.384444\pi\) | |||||||
\(354\) | 15.9839 | − | 4.12315i | 0.849534 | − | 0.219143i | ||||
\(355\) | −4.06949 | − | 2.34952i | −0.215986 | − | 0.124700i | ||||
\(356\) | −10.2928 | + | 14.5243i | −0.545518 | + | 0.769789i | ||||
\(357\) | −2.33051 | − | 2.16365i | −0.123344 | − | 0.114513i | ||||
\(358\) | −16.7074 | − | 32.3170i | −0.883011 | − | 1.70801i | ||||
\(359\) | 24.2172 | 1.27813 | 0.639067 | − | 0.769151i | \(-0.279321\pi\) | ||||
0.639067 | + | 0.769151i | \(0.279321\pi\) | |||||||
\(360\) | −0.731578 | + | 11.2133i | −0.0385576 | + | 0.590992i | ||||
\(361\) | −3.21250 | −0.169079 | ||||||||
\(362\) | −12.4191 | − | 24.0223i | −0.652736 | − | 1.26259i | ||||
\(363\) | −0.836699 | + | 3.66095i | −0.0439153 | + | 0.192150i | ||||
\(364\) | 10.0885 | + | 7.14932i | 0.528782 | + | 0.374726i | ||||
\(365\) | 14.1391 | + | 8.16322i | 0.740075 | + | 0.427283i | ||||
\(366\) | 2.36417 | − | 8.50444i | 0.123577 | − | 0.444534i | ||||
\(367\) | −4.89757 | − | 8.48284i | −0.255651 | − | 0.442801i | 0.709421 | − | 0.704785i | \(-0.248956\pi\) |
−0.965072 | + | 0.261984i | \(0.915623\pi\) | |||||||
\(368\) | 5.48380 | + | 1.03095i | 0.285863 | + | 0.0537419i | ||||
\(369\) | −0.439755 | − | 5.91393i | −0.0228927 | − | 0.307867i | ||||
\(370\) | −0.584637 | + | 12.5753i | −0.0303938 | + | 0.653759i | ||||
\(371\) | 1.33322 | − | 0.769737i | 0.0692175 | − | 0.0399627i | ||||
\(372\) | −22.3779 | − | 25.0260i | −1.16024 | − | 1.29754i | ||||
\(373\) | 10.1979 | + | 5.88778i | 0.528029 | + | 0.304858i | 0.740214 | − | 0.672372i | \(-0.234724\pi\) |
−0.212184 | + | 0.977230i | \(0.568058\pi\) | |||||||
\(374\) | −4.16437 | + | 6.49619i | −0.215334 | + | 0.335910i | ||||
\(375\) | −5.57004 | − | 18.0762i | −0.287636 | − | 0.933449i | ||||
\(376\) | −31.0240 | + | 12.5437i | −1.59994 | + | 0.646891i | ||||
\(377\) | 10.8509 | 0.558852 | ||||||||
\(378\) | −6.95984 | + | 2.35810i | −0.357976 | + | 0.121287i | ||||
\(379\) | − | 18.7618i | − | 0.963727i | −0.876246 | − | 0.481864i | \(-0.839960\pi\) | ||
0.876246 | − | 0.481864i | \(-0.160040\pi\) | |||||||
\(380\) | 5.21154 | + | 11.3430i | 0.267346 | + | 0.581884i | ||||
\(381\) | −12.4673 | + | 3.84171i | −0.638719 | + | 0.196817i | ||||
\(382\) | −31.3884 | − | 20.1215i | −1.60597 | − | 1.02950i | ||||
\(383\) | 11.9105 | − | 20.6296i | 0.608598 | − | 1.05412i | −0.382874 | − | 0.923801i | \(-0.625066\pi\) |
0.991472 | − | 0.130322i | \(-0.0416011\pi\) | |||||||
\(384\) | 17.2223 | − | 9.34844i | 0.878870 | − | 0.477061i | ||||
\(385\) | −1.96782 | − | 3.40836i | −0.100289 | − | 0.173706i | ||||
\(386\) | −1.09733 | + | 23.6031i | −0.0558527 | + | 1.20137i | ||||
\(387\) | −7.90768 | + | 16.3963i | −0.401970 | + | 0.833468i | ||||
\(388\) | −0.529457 | − | 0.0493365i | −0.0268791 | − | 0.00250468i | ||||
\(389\) | −15.1720 | + | 8.75954i | −0.769249 | + | 0.444126i | −0.832607 | − | 0.553865i | \(-0.813152\pi\) |
0.0633576 | + | 0.997991i | \(0.479819\pi\) | |||||||
\(390\) | −19.3224 | − | 5.37147i | −0.978428 | − | 0.271995i | ||||
\(391\) | 1.28058 | − | 2.21803i | 0.0647616 | − | 0.112170i | ||||
\(392\) | −2.22927 | − | 1.74079i | −0.112595 | − | 0.0879231i | ||||
\(393\) | −28.6104 | − | 6.53883i | −1.44321 | − | 0.329841i | ||||
\(394\) | 0.353115 | + | 0.683031i | 0.0177897 | + | 0.0344106i | ||||
\(395\) | − | 3.06116i | − | 0.154024i | ||||||
\(396\) | 8.62534 | + | 15.6061i | 0.433440 | + | 0.784236i | ||||
\(397\) | − | 2.00372i | − | 0.100564i | −0.998735 | − | 0.0502820i | \(-0.983988\pi\) | ||
0.998735 | − | 0.0502820i | \(-0.0160120\pi\) | |||||||
\(398\) | 19.9721 | − | 10.3252i | 1.00111 | − | 0.517557i | ||||
\(399\) | −5.55410 | + | 5.98243i | −0.278053 | + | 0.299496i | ||||
\(400\) | −8.45833 | + | 9.85205i | −0.422917 | + | 0.492602i | ||||
\(401\) | 10.5608 | − | 18.2918i | 0.527380 | − | 0.913448i | −0.472111 | − | 0.881539i | \(-0.656508\pi\) |
0.999491 | − | 0.0319093i | \(-0.0101588\pi\) | |||||||
\(402\) | 1.85166 | − | 0.477647i | 0.0923522 | − | 0.0238229i | ||||
\(403\) | 51.8891 | − | 29.9582i | 2.58478 | − | 1.49232i | ||||
\(404\) | 2.07462 | − | 22.2638i | 0.103216 | − | 1.10767i | ||||
\(405\) | 9.32703 | − | 7.42046i | 0.463464 | − | 0.368726i | ||||
\(406\) | −2.47943 | − | 0.115271i | −0.123052 | − | 0.00572081i | ||||
\(407\) | 9.98802 | + | 17.2998i | 0.495088 | + | 0.857517i | ||||
\(408\) | −1.42889 | − | 8.88029i | −0.0707406 | − | 0.439640i | ||||
\(409\) | −10.0084 | + | 17.3350i | −0.494881 | + | 0.857159i | −0.999983 | − | 0.00590065i | \(-0.998122\pi\) |
0.505101 | + | 0.863060i | \(0.331455\pi\) | |||||||
\(410\) | −1.99798 | + | 3.11674i | −0.0986733 | + | 0.153925i | ||||
\(411\) | −19.7693 | − | 18.3538i | −0.975147 | − | 0.905328i | ||||
\(412\) | 5.95688 | + | 12.9653i | 0.293475 | + | 0.638753i | ||||
\(413\) | − | 6.73900i | − | 0.331604i | ||||||
\(414\) | −3.10032 | − | 5.04131i | −0.152372 | − | 0.247767i | ||||
\(415\) | −13.4635 | −0.660897 | ||||||||
\(416\) | 10.0446 | + | 33.4998i | 0.492478 | + | 1.64246i | ||||
\(417\) | −32.6197 | − | 7.45513i | −1.59739 | − | 0.365079i | ||||
\(418\) | 16.6757 | + | 10.6899i | 0.815637 | + | 0.522862i | ||||
\(419\) | −0.331640 | − | 0.191472i | −0.0162017 | − | 0.00935403i | 0.491877 | − | 0.870665i | \(-0.336311\pi\) |
−0.508079 | + | 0.861311i | \(0.669644\pi\) | |||||||
\(420\) | 4.35810 | + | 1.43264i | 0.212653 | + | 0.0699058i | ||||
\(421\) | −31.6574 | + | 18.2774i | −1.54289 | + | 0.890785i | −0.544230 | + | 0.838936i | \(0.683178\pi\) |
−0.998655 | + | 0.0518491i | \(0.983489\pi\) | |||||||
\(422\) | 15.7975 | + | 0.734441i | 0.769011 | + | 0.0357520i | ||||
\(423\) | 31.9699 | + | 15.4187i | 1.55443 | + | 0.749681i | ||||
\(424\) | 4.31207 | + | 0.604905i | 0.209412 | + | 0.0293768i | ||||
\(425\) | 2.98002 | + | 5.16155i | 0.144552 | + | 0.250372i | ||||
\(426\) | 6.20302 | − | 6.08814i | 0.300537 | − | 0.294971i | ||||
\(427\) | −3.12079 | − | 1.80179i | −0.151026 | − | 0.0871948i | ||||
\(428\) | −30.8114 | − | 21.8348i | −1.48933 | − | 1.05542i | ||||
\(429\) | −30.4123 | + | 9.37136i | −1.46832 | + | 0.452453i | ||||
\(430\) | 10.0949 | − | 5.21890i | 0.486821 | − | 0.251678i | ||||
\(431\) | −17.1552 | −0.826338 | −0.413169 | − | 0.910654i | \(-0.635578\pi\) | ||||
−0.413169 | + | 0.910654i | \(0.635578\pi\) | |||||||
\(432\) | −19.6203 | − | 6.85876i | −0.943984 | − | 0.329992i | ||||
\(433\) | 13.7752 | 0.661995 | 0.330997 | − | 0.943632i | \(-0.392615\pi\) | ||||
0.330997 | + | 0.943632i | \(0.392615\pi\) | |||||||
\(434\) | −12.1749 | + | 6.29421i | −0.584413 | + | 0.302132i | ||||
\(435\) | 3.84731 | − | 1.18552i | 0.184465 | − | 0.0568415i | ||||
\(436\) | 15.5049 | + | 10.9877i | 0.742548 | + | 0.526213i | ||||
\(437\) | −5.69368 | − | 3.28725i | −0.272366 | − | 0.157250i | ||||
\(438\) | −21.5519 | + | 21.1527i | −1.02979 | + | 1.01072i | ||||
\(439\) | 7.44538 | + | 12.8958i | 0.355348 | + | 0.615482i | 0.987178 | − | 0.159626i | \(-0.0510289\pi\) |
−0.631829 | + | 0.775108i | \(0.717696\pi\) | |||||||
\(440\) | 1.54643 | − | 11.0237i | 0.0737230 | − | 0.525535i | ||||
\(441\) | 0.222463 | + | 2.99174i | 0.0105935 | + | 0.142464i | ||||
\(442\) | 16.0354 | + | 0.745500i | 0.762726 | + | 0.0354598i | ||||
\(443\) | −4.25611 | + | 2.45727i | −0.202214 | + | 0.116748i | −0.597688 | − | 0.801729i | \(-0.703914\pi\) |
0.395474 | + | 0.918477i | \(0.370580\pi\) | |||||||
\(444\) | −22.1203 | − | 7.27165i | −1.04978 | − | 0.345097i | ||||
\(445\) | −10.2082 | − | 5.89371i | −0.483915 | − | 0.279389i | ||||
\(446\) | 14.9006 | + | 9.55198i | 0.705562 | + | 0.452299i | ||||
\(447\) | −7.57346 | − | 1.73089i | −0.358212 | − | 0.0818684i | ||||
\(448\) | −1.93932 | − | 7.76138i | −0.0916241 | − | 0.366691i | ||||
\(449\) | 29.2454 | 1.38018 | 0.690088 | − | 0.723725i | \(-0.257572\pi\) | ||||
0.690088 | + | 0.723725i | \(0.257572\pi\) | |||||||
\(450\) | 13.7672 | − | 0.382346i | 0.648992 | − | 0.0180240i | ||||
\(451\) | 5.87460i | 0.276624i | ||||||||
\(452\) | −9.75361 | − | 21.2289i | −0.458771 | − | 0.998525i | ||||
\(453\) | −17.6684 | − | 16.4033i | −0.830132 | − | 0.770696i | ||||
\(454\) | −11.2240 | + | 17.5089i | −0.526770 | + | 0.821733i | ||||
\(455\) | −4.09373 | + | 7.09055i | −0.191917 | + | 0.332410i | ||||
\(456\) | −22.7957 | + | 3.66797i | −1.06751 | + | 0.171768i | ||||
\(457\) | 15.9871 | + | 27.6905i | 0.747846 | + | 1.29531i | 0.948853 | + | 0.315717i | \(0.102245\pi\) |
−0.201007 | + | 0.979590i | \(0.564422\pi\) | |||||||
\(458\) | −38.3394 | − | 1.78244i | −1.79148 | − | 0.0832878i | ||||
\(459\) | −5.95463 | + | 7.45362i | −0.277938 | + | 0.347905i | ||||
\(460\) | −0.342802 | + | 3.67879i | −0.0159832 | + | 0.171524i | ||||
\(461\) | 5.15400 | − | 2.97566i | 0.240046 | − | 0.138590i | −0.375152 | − | 0.926963i | \(-0.622410\pi\) |
0.615198 | + | 0.788373i | \(0.289076\pi\) | |||||||
\(462\) | 7.04876 | − | 1.81827i | 0.327938 | − | 0.0845938i | ||||
\(463\) | 3.97874 | − | 6.89138i | 0.184908 | − | 0.320270i | −0.758638 | − | 0.651513i | \(-0.774135\pi\) |
0.943545 | + | 0.331243i | \(0.107468\pi\) | |||||||
\(464\) | −5.32667 | − | 4.57314i | −0.247284 | − | 0.212303i | ||||
\(465\) | 15.1247 | − | 16.2912i | 0.701393 | − | 0.755485i | ||||
\(466\) | 8.79513 | − | 4.54693i | 0.407427 | − | 0.210633i | ||||
\(467\) | − | 6.61242i | − | 0.305986i | −0.988227 | − | 0.152993i | \(-0.951109\pi\) | ||
0.988227 | − | 0.152993i | \(-0.0488912\pi\) | |||||||
\(468\) | 19.1446 | − | 31.7727i | 0.884959 | − | 1.46869i | ||||
\(469\) | − | 0.780681i | − | 0.0360485i | ||||||
\(470\) | −10.1760 | − | 19.6834i | −0.469383 | − | 0.907928i | ||||
\(471\) | −23.9764 | − | 5.47974i | −1.10477 | − | 0.252493i | ||||
\(472\) | 11.7312 | − | 15.0231i | 0.539971 | − | 0.691493i | ||||
\(473\) | 9.01634 | − | 15.6168i | 0.414572 | − | 0.718059i | ||||
\(474\) | 5.45518 | + | 1.51650i | 0.250565 | + | 0.0696549i | ||||
\(475\) | 13.2497 | − | 7.64972i | 0.607938 | − | 0.350993i | ||||
\(476\) | −3.65616 | − | 0.340693i | −0.167580 | − | 0.0156156i | ||||
\(477\) | −2.59945 | − | 3.81742i | −0.119020 | − | 0.174788i | ||||
\(478\) | 0.930632 | − | 20.0175i | 0.0425661 | − | 0.915579i | ||||
\(479\) | 4.39372 | + | 7.61015i | 0.200754 | + | 0.347717i | 0.948772 | − | 0.315962i | \(-0.102327\pi\) |
−0.748017 | + | 0.663679i | \(0.768994\pi\) | |||||||
\(480\) | 7.22146 | + | 10.7803i | 0.329613 | + | 0.492050i | ||||
\(481\) | 20.7785 | − | 35.9895i | 0.947419 | − | 1.64098i | ||||
\(482\) | −1.09117 | − | 0.699495i | −0.0497016 | − | 0.0318611i | ||||
\(483\) | −2.30902 | + | 0.711507i | −0.105064 | + | 0.0323747i | ||||
\(484\) | 1.81037 | + | 3.94031i | 0.0822895 | + | 0.179105i | ||||
\(485\) | − | 0.352100i | − | 0.0159881i | ||||||
\(486\) | 8.60312 | + | 20.2974i | 0.390246 | + | 0.920711i | ||||
\(487\) | 29.8389 | 1.35213 | 0.676066 | − | 0.736841i | \(-0.263683\pi\) | ||||
0.676066 | + | 0.736841i | \(0.263683\pi\) | |||||||
\(488\) | −3.82057 | − | 9.44932i | −0.172949 | − | 0.427751i | ||||
\(489\) | 8.08318 | + | 26.2319i | 0.365534 | + | 1.18625i | ||||
\(490\) | 1.01074 | − | 1.57670i | 0.0456606 | − | 0.0712280i | ||||
\(491\) | 3.90406 | + | 2.25401i | 0.176188 | + | 0.101722i | 0.585500 | − | 0.810672i | \(-0.300898\pi\) |
−0.409313 | + | 0.912394i | \(0.634231\pi\) | |||||||
\(492\) | −4.56443 | − | 5.10456i | −0.205781 | − | 0.230131i | ||||
\(493\) | −2.79067 | + | 1.61120i | −0.125686 | + | 0.0725646i | ||||
\(494\) | 1.91370 | − | 41.1629i | 0.0861015 | − | 1.85201i | ||||
\(495\) | −9.75915 | + | 6.64543i | −0.438641 | + | 0.298690i | ||||
\(496\) | −38.0980 | − | 7.16239i | −1.71065 | − | 0.321601i | ||||
\(497\) | −1.77415 | − | 3.07292i | −0.0795817 | − | 0.137839i | ||||
\(498\) | 6.66980 | − | 23.9928i | 0.298881 | − | 1.07514i | ||||
\(499\) | 20.6652 | + | 11.9310i | 0.925100 | + | 0.534107i | 0.885259 | − | 0.465099i | \(-0.153981\pi\) |
0.0398414 | + | 0.999206i | \(0.487315\pi\) | |||||||
\(500\) | −17.8201 | − | 12.6284i | −0.796938 | − | 0.564757i | ||||
\(501\) | 4.38098 | − | 19.1688i | 0.195728 | − | 0.856399i | ||||
\(502\) | 7.31278 | + | 14.1451i | 0.326385 | + | 0.631327i | ||||
\(503\) | 7.53637 | 0.336030 | 0.168015 | − | 0.985784i | \(-0.446264\pi\) | ||||
0.168015 | + | 0.985784i | \(0.446264\pi\) | |||||||
\(504\) | −4.71205 | + | 7.05667i | −0.209892 | + | 0.314329i | ||||
\(505\) | 14.8059 | 0.658856 | ||||||||
\(506\) | 2.69244 | + | 5.20799i | 0.119694 | + | 0.231523i | ||||
\(507\) | 32.0163 | + | 29.7240i | 1.42190 | + | 1.32009i | ||||
\(508\) | −8.70990 | + | 12.2907i | −0.386439 | + | 0.545311i | ||||
\(509\) | 10.1793 | + | 5.87705i | 0.451192 | + | 0.260496i | 0.708333 | − | 0.705878i | \(-0.249447\pi\) |
−0.257142 | + | 0.966374i | \(0.582781\pi\) | |||||||
\(510\) | 5.76697 | − | 1.48763i | 0.255366 | − | 0.0658733i | ||||
\(511\) | 6.16415 | + | 10.6766i | 0.272686 | + | 0.472306i | ||||
\(512\) | 9.18765 | − | 20.6782i | 0.406041 | − | 0.913855i | ||||
\(513\) | 19.1335 | + | 15.2855i | 0.844763 | + | 0.674874i | ||||
\(514\) | −1.22454 | + | 26.3394i | −0.0540123 | + | 1.16178i | ||||
\(515\) | −8.18201 | + | 4.72388i | −0.360542 | + | 0.208159i | ||||
\(516\) | 4.29940 | + | 20.5752i | 0.189270 | + | 0.905774i | ||||
\(517\) | −30.4501 | − | 17.5804i | −1.33919 | − | 0.773183i | ||||
\(518\) | −5.13020 | + | 8.00284i | −0.225408 | + | 0.351624i | ||||
\(519\) | −3.26751 | + | 3.51950i | −0.143428 | + | 0.154489i | ||||
\(520\) | −21.4692 | + | 8.68046i | −0.941487 | + | 0.380663i | ||||
\(521\) | −4.50583 | −0.197404 | −0.0987021 | − | 0.995117i | \(-0.531469\pi\) | ||||
−0.0987021 | + | 0.995117i | \(0.531469\pi\) | |||||||
\(522\) | 0.206722 | + | 7.44346i | 0.00904796 | + | 0.325791i | ||||
\(523\) | − | 33.3777i | − | 1.45950i | −0.683712 | − | 0.729752i | \(-0.739635\pi\) | ||
0.683712 | − | 0.729752i | \(-0.260365\pi\) | |||||||
\(524\) | −30.7937 | + | 14.1481i | −1.34523 | + | 0.618063i | ||||
\(525\) | 1.25273 | − | 5.48127i | 0.0546736 | − | 0.239222i | ||||
\(526\) | −16.6924 | − | 10.7006i | −0.727824 | − | 0.466570i | ||||
\(527\) | −8.89666 | + | 15.4095i | −0.387545 | + | 0.671247i | ||||
\(528\) | 18.8788 | + | 8.21696i | 0.821596 | + | 0.357597i | ||||
\(529\) | 10.5270 | + | 18.2334i | 0.457697 | + | 0.792755i | ||||
\(530\) | −0.133898 | + | 2.88010i | −0.00581617 | + | 0.125103i | ||||
\(531\) | −20.1613 | + | 1.49918i | −0.874928 | + | 0.0650589i | ||||
\(532\) | −0.874559 | + | 9.38537i | −0.0379169 | + | 0.406907i | ||||
\(533\) | 10.5839 | − | 6.11059i | 0.458438 | − | 0.264679i | ||||
\(534\) | 15.5601 | − | 15.2719i | 0.673351 | − | 0.660880i | ||||
\(535\) | 12.5027 | − | 21.6553i | 0.540539 | − | 0.936241i | ||||
\(536\) | 1.35900 | − | 1.74035i | 0.0586999 | − | 0.0751717i | ||||
\(537\) | 13.1210 | + | 42.5809i | 0.566213 | + | 1.83750i | ||||
\(538\) | 6.29823 | + | 12.1827i | 0.271536 | + | 0.525232i | ||||
\(539\) | − | 2.97184i | − | 0.128006i | ||||||
\(540\) | 3.31658 | − | 13.3570i | 0.142723 | − | 0.574794i | ||||
\(541\) | − | 3.39295i | − | 0.145874i | −0.997337 | − | 0.0729372i | \(-0.976763\pi\) | ||
0.997337 | − | 0.0729372i | \(-0.0232373\pi\) | |||||||
\(542\) | −16.3710 | + | 8.46355i | −0.703197 | + | 0.363541i | ||||
\(543\) | 9.75328 | + | 31.6518i | 0.418553 | + | 1.35831i | ||||
\(544\) | −7.55750 | − | 7.12409i | −0.324025 | − | 0.305443i | ||||
\(545\) | −6.29158 | + | 10.8973i | −0.269502 | + | 0.466791i | ||||
\(546\) | −10.6078 | − | 10.8079i | −0.453971 | − | 0.462537i | ||||
\(547\) | 11.7045 | − | 6.75759i | 0.500448 | − | 0.288934i | −0.228451 | − | 0.973555i | \(-0.573366\pi\) |
0.728898 | + | 0.684622i | \(0.240033\pi\) | |||||||
\(548\) | −31.0145 | − | 2.89003i | −1.32487 | − | 0.123456i | ||||
\(549\) | −4.69623 | + | 9.73744i | −0.200430 | + | 0.415584i | ||||
\(550\) | −13.6285 | − | 0.633603i | −0.581122 | − | 0.0270169i | ||||
\(551\) | 4.13595 | + | 7.16367i | 0.176197 | + | 0.305183i | ||||
\(552\) | −6.38601 | − | 2.43336i | −0.271807 | − | 0.103571i | ||||
\(553\) | 1.15576 | − | 2.00184i | 0.0491479 | − | 0.0851267i | ||||
\(554\) | −6.98034 | + | 10.8889i | −0.296566 | + | 0.462627i | ||||
\(555\) | 3.43520 | − | 15.0306i | 0.145816 | − | 0.638014i | ||||
\(556\) | −35.1088 | + | 16.1307i | −1.48895 | + | 0.684095i | ||||
\(557\) | 22.8232i | 0.967049i | 0.875331 | + | 0.483525i | \(0.160644\pi\) | ||||
−0.875331 | + | 0.483525i | \(0.839356\pi\) | |||||||
\(558\) | 21.5391 | + | 35.0239i | 0.911823 | + | 1.48268i | ||||
\(559\) | −37.5142 | −1.58668 | ||||||||
\(560\) | 4.99791 | − | 1.75541i | 0.211200 | − | 0.0741796i | ||||
\(561\) | 6.43003 | − | 6.92592i | 0.271476 | − | 0.292412i | ||||
\(562\) | −17.8299 | − | 11.4299i | −0.752111 | − | 0.482139i | ||||
\(563\) | 14.1072 | + | 8.14479i | 0.594547 | + | 0.343262i | 0.766894 | − | 0.641774i | \(-0.221801\pi\) |
−0.172346 | + | 0.985036i | \(0.555135\pi\) | |||||||
\(564\) | 40.1182 | − | 8.38310i | 1.68928 | − | 0.352992i | ||||
\(565\) | 13.3970 | − | 7.73474i | 0.563614 | − | 0.325403i | ||||
\(566\) | 8.08245 | + | 0.375761i | 0.339731 | + | 0.0157944i | ||||
\(567\) | 8.90102 | − | 1.33111i | 0.373808 | − | 0.0559012i | ||||
\(568\) | 1.39424 | − | 9.93881i | 0.0585008 | − | 0.417023i | ||||
\(569\) | 23.6682 | + | 40.9945i | 0.992221 | + | 1.71858i | 0.603921 | + | 0.797044i | \(0.293604\pi\) |
0.388300 | + | 0.921533i | \(0.373062\pi\) | |||||||
\(570\) | −3.81875 | − | 14.8038i | −0.159950 | − | 0.620064i | ||||
\(571\) | 15.5387 | + | 8.97129i | 0.650276 | + | 0.375437i | 0.788562 | − | 0.614955i | \(-0.210826\pi\) |
−0.138286 | + | 0.990392i | \(0.544159\pi\) | |||||||
\(572\) | −21.2467 | + | 29.9815i | −0.888367 | + | 1.25359i | ||||
\(573\) | 33.4648 | + | 31.0688i | 1.39801 | + | 1.29792i | ||||
\(574\) | −2.48332 | + | 1.28383i | −0.103652 | + | 0.0535861i | ||||
\(575\) | 4.52836 | 0.188846 | ||||||||
\(576\) | −22.7886 | + | 7.52856i | −0.949526 | + | 0.313690i | ||||
\(577\) | 13.7786 | 0.573611 | 0.286806 | − | 0.957989i | \(-0.407407\pi\) | ||||
0.286806 | + | 0.957989i | \(0.407407\pi\) | |||||||
\(578\) | 17.1217 | − | 8.85164i | 0.712170 | − | 0.368180i | ||||
\(579\) | 6.44768 | − | 28.2116i | 0.267957 | − | 1.17243i | ||||
\(580\) | 2.68781 | − | 3.79281i | 0.111605 | − | 0.157488i | ||||
\(581\) | −8.80441 | − | 5.08323i | −0.365268 | − | 0.210888i | ||||
\(582\) | 0.627465 | + | 0.174430i | 0.0260092 | + | 0.00723036i | ||||
\(583\) | 2.28754 | + | 3.96213i | 0.0947401 | + | 0.164095i | ||||
\(584\) | −4.84415 | + | 34.5316i | −0.200453 | + | 1.42893i | ||||
\(585\) | 22.1238 | + | 10.6700i | 0.914707 | + | 0.441150i | ||||
\(586\) | 8.48630 | + | 0.394536i | 0.350566 | + | 0.0162981i | ||||
\(587\) | 38.1036 | − | 21.9991i | 1.57270 | − | 0.908002i | 0.576869 | − | 0.816837i | \(-0.304274\pi\) |
0.995836 | − | 0.0911651i | \(-0.0290591\pi\) | |||||||
\(588\) | 2.30906 | + | 2.58230i | 0.0952239 | + | 0.106492i | ||||
\(589\) | 39.5561 | + | 22.8378i | 1.62988 | + | 0.941013i | ||||
\(590\) | 10.6254 | + | 6.81138i | 0.437440 | + | 0.280420i | ||||
\(591\) | −0.277316 | − | 0.899960i | −0.0114073 | − | 0.0370194i | ||||
\(592\) | −25.3679 | + | 8.90992i | −1.04261 | + | 0.366195i | ||||
\(593\) | −41.4353 | −1.70154 | −0.850772 | − | 0.525535i | \(-0.823865\pi\) | ||||
−0.850772 | + | 0.525535i | \(0.823865\pi\) | |||||||
\(594\) | −7.00790 | − | 20.6836i | −0.287537 | − | 0.848657i | ||||
\(595\) | − | 2.43142i | − | 0.0996787i | ||||||
\(596\) | −8.15137 | + | 3.74514i | −0.333893 | + | 0.153407i | ||||
\(597\) | −26.3152 | + | 8.10885i | −1.07701 | + | 0.331873i | ||||
\(598\) | 6.58227 | − | 10.2680i | 0.269169 | − | 0.419889i | ||||
\(599\) | 6.60491 | − | 11.4400i | 0.269869 | − | 0.467427i | −0.698959 | − | 0.715162i | \(-0.746353\pi\) |
0.968828 | + | 0.247735i | \(0.0796862\pi\) | |||||||
\(600\) | 12.3344 | − | 10.0385i | 0.503550 | − | 0.409821i | ||||
\(601\) | −19.9741 | − | 34.5961i | −0.814760 | − | 1.41121i | −0.909500 | − | 0.415704i | \(-0.863535\pi\) |
0.0947400 | − | 0.995502i | \(-0.469798\pi\) | |||||||
\(602\) | 8.57197 | + | 0.398519i | 0.349367 | + | 0.0162424i | ||||
\(603\) | −2.33560 | + | 0.173673i | −0.0951128 | + | 0.00707251i | ||||
\(604\) | −27.7185 | − | 2.58290i | −1.12785 | − | 0.105097i | ||||
\(605\) | −2.48661 | + | 1.43565i | −0.101095 | + | 0.0583673i | ||||
\(606\) | −7.33485 | + | 26.3851i | −0.297958 | + | 1.07182i | ||||
\(607\) | 3.45338 | − | 5.98143i | 0.140168 | − | 0.242779i | −0.787392 | − | 0.616453i | \(-0.788569\pi\) |
0.927560 | + | 0.373674i | \(0.121902\pi\) | |||||||
\(608\) | −18.2876 | + | 19.4001i | −0.741659 | + | 0.786779i | ||||
\(609\) | 2.96354 | + | 0.677308i | 0.120089 | + | 0.0274459i | ||||
\(610\) | 5.99519 | − | 3.09941i | 0.242738 | − | 0.125492i | ||||
\(611\) | 73.1464i | 2.95918i | ||||||||
\(612\) | −0.205903 | + | 11.0141i | −0.00832313 | + | 0.445217i | ||||
\(613\) | − | 45.9169i | − | 1.85456i | −0.374363 | − | 0.927282i | \(-0.622139\pi\) | ||
0.374363 | − | 0.927282i | \(-0.377861\pi\) | |||||||
\(614\) | −13.4312 | − | 25.9801i | −0.542041 | − | 1.04847i | ||||
\(615\) | 3.08500 | − | 3.32292i | 0.124399 | − | 0.133993i | ||||
\(616\) | 5.17335 | − | 6.62505i | 0.208440 | − | 0.266931i | ||||
\(617\) | 11.9943 | − | 20.7748i | 0.482874 | − | 0.836362i | −0.516933 | − | 0.856026i | \(-0.672926\pi\) |
0.999807 | + | 0.0196640i | \(0.00625965\pi\) | |||||||
\(618\) | −4.36490 | − | 16.9210i | −0.175582 | − | 0.680664i | ||||
\(619\) | −33.1469 | + | 19.1374i | −1.33229 | + | 0.769196i | −0.985650 | − | 0.168803i | \(-0.946010\pi\) |
−0.346637 | + | 0.937999i | \(0.612677\pi\) | |||||||
\(620\) | 2.38157 | − | 25.5579i | 0.0956462 | − | 1.02643i | ||||
\(621\) | 2.64232 | + | 6.74969i | 0.106033 | + | 0.270856i | ||||
\(622\) | −0.668847 | + | 14.3866i | −0.0268183 | + | 0.576851i | ||||
\(623\) | −4.45041 | − | 7.70834i | −0.178302 | − | 0.308828i | ||||
\(624\) | −4.83331 | − | 42.5597i | −0.193487 | − | 1.70375i | ||||
\(625\) | −0.884475 | + | 1.53196i | −0.0353790 | + | 0.0612782i | ||||
\(626\) | −11.4089 | − | 7.31364i | −0.455991 | − | 0.292312i | ||||
\(627\) | −17.7788 | − | 16.5059i | −0.710019 | − | 0.659183i | ||||
\(628\) | −25.8060 | + | 11.8565i | −1.02977 | + | 0.473127i | ||||
\(629\) | 12.3412i | 0.492074i | ||||||||
\(630\) | −4.94193 | − | 2.67311i | −0.196891 | − | 0.106499i | ||||
\(631\) | −13.9601 | −0.555742 | −0.277871 | − | 0.960618i | \(-0.589629\pi\) | ||||
−0.277871 | + | 0.960618i | \(0.589629\pi\) | |||||||
\(632\) | 6.06127 | − | 2.45070i | 0.241105 | − | 0.0974838i | ||||
\(633\) | −18.8820 | − | 4.31542i | −0.750491 | − | 0.171523i | ||||
\(634\) | 16.9626 | − | 26.4607i | 0.673671 | − | 1.05089i | ||||
\(635\) | −8.63830 | − | 4.98733i | −0.342801 | − | 0.197916i | ||||
\(636\) | −5.06618 | − | 1.66541i | −0.200887 | − | 0.0660378i | ||||
\(637\) | −5.35416 | + | 3.09123i | −0.212140 | + | 0.122479i | ||||
\(638\) | 0.342568 | − | 7.36848i | 0.0135624 | − | 0.291721i | ||||
\(639\) | −8.79871 | + | 5.99142i | −0.348071 | + | 0.237017i | ||||
\(640\) | 14.1975 | + | 4.78702i | 0.561206 | + | 0.189224i | ||||
\(641\) | −11.8317 | − | 20.4931i | −0.467323 | − | 0.809427i | 0.531980 | − | 0.846757i | \(-0.321448\pi\) |
−0.999303 | + | 0.0373296i | \(0.988115\pi\) | |||||||
\(642\) | 32.3973 | + | 33.0086i | 1.27862 | + | 1.30275i | ||||
\(643\) | −17.3058 | − | 9.99151i | −0.682474 | − | 0.394027i | 0.118313 | − | 0.992976i | \(-0.462252\pi\) |
−0.800787 | + | 0.598950i | \(0.795585\pi\) | |||||||
\(644\) | −1.61312 | + | 2.27630i | −0.0635660 | + | 0.0896990i | ||||
\(645\) | −13.3011 | + | 4.09863i | −0.523728 | + | 0.161383i | ||||
\(646\) | 5.61988 | + | 10.8705i | 0.221111 | + | 0.427696i | ||||
\(647\) | −31.2787 | −1.22969 | −0.614846 | − | 0.788647i | \(-0.710782\pi\) | ||||
−0.614846 | + | 0.788647i | \(0.710782\pi\) | |||||||
\(648\) | 22.1600 | + | 12.5274i | 0.870526 | + | 0.492122i | ||||
\(649\) | 20.0273 | 0.786138 | ||||||||
\(650\) | 13.0345 | + | 25.2126i | 0.511255 | + | 0.988921i | ||||
\(651\) | 16.0416 | − | 4.94311i | 0.628720 | − | 0.193736i | ||||
\(652\) | 25.8603 | + | 18.3261i | 1.01277 | + | 0.717707i | ||||
\(653\) | 5.78411 | + | 3.33946i | 0.226350 | + | 0.130683i | 0.608887 | − | 0.793257i | \(-0.291616\pi\) |
−0.382537 | + | 0.923940i | \(0.624950\pi\) | |||||||
\(654\) | −16.3029 | − | 16.6105i | −0.637494 | − | 0.649523i | ||||
\(655\) | −11.2196 | − | 19.4330i | −0.438387 | − | 0.759309i | ||||
\(656\) | −7.77087 | − | 1.46092i | −0.303402 | − | 0.0570392i | ||||
\(657\) | 30.5704 | − | 20.8167i | 1.19266 | − | 0.812136i | ||||
\(658\) | 0.777045 | − | 16.7139i | 0.0302924 | − | 0.651576i | ||||
\(659\) | −8.11343 | + | 4.68429i | −0.316055 | + | 0.182474i | −0.649633 | − | 0.760248i | \(-0.725077\pi\) |
0.333578 | + | 0.942722i | \(0.391744\pi\) | |||||||
\(660\) | −4.25759 | + | 12.9516i | −0.165726 | + | 0.504139i | ||||
\(661\) | −8.14781 | − | 4.70414i | −0.316913 | − | 0.182970i | 0.333103 | − | 0.942891i | \(-0.391904\pi\) |
−0.650016 | + | 0.759921i | \(0.725238\pi\) | |||||||
\(662\) | −5.61036 | + | 8.75185i | −0.218053 | + | 0.340150i | ||||
\(663\) | −19.1663 | − | 4.38040i | −0.744357 | − | 0.170121i | ||||
\(664\) | −10.7786 | − | 26.6585i | −0.418291 | − | 1.03455i | ||||
\(665\) | −6.24148 | −0.242034 | ||||||||
\(666\) | 25.0837 | + | 13.5679i | 0.971973 | + | 0.525745i | ||||
\(667\) | 2.44833i | 0.0947997i | ||||||||
\(668\) | −9.47914 | − | 20.6315i | −0.366759 | − | 0.798259i | ||||
\(669\) | −15.8863 | − | 14.7488i | −0.614198 | − | 0.570223i | ||||
\(670\) | 1.23090 | + | 0.789066i | 0.0475538 | + | 0.0304843i | ||||
\(671\) | 5.35464 | − | 9.27451i | 0.206714 | − | 0.358039i | ||||
\(672\) | 0.652290 | + | 9.77622i | 0.0251626 | + | 0.377126i | ||||
\(673\) | −7.48291 | − | 12.9608i | −0.288445 | − | 0.499601i | 0.684994 | − | 0.728549i | \(-0.259805\pi\) |
−0.973439 | + | 0.228947i | \(0.926472\pi\) | |||||||
\(674\) | 1.88381 | − | 40.5199i | 0.0725616 | − | 1.56077i | ||||
\(675\) | −16.6772 | − | 2.52846i | −0.641907 | − | 0.0973204i | ||||
\(676\) | 50.2279 | + | 4.68040i | 1.93184 | + | 0.180015i | ||||
\(677\) | 6.47998 | − | 3.74122i | 0.249046 | − | 0.143787i | −0.370281 | − | 0.928920i | \(-0.620739\pi\) |
0.619327 | + | 0.785133i | \(0.287405\pi\) | |||||||
\(678\) | 7.14695 | + | 27.7060i | 0.274477 | + | 1.06404i | ||||
\(679\) | 0.132938 | − | 0.230255i | 0.00510168 | − | 0.00883636i | ||||
\(680\) | 4.23259 | − | 5.42031i | 0.162313 | − | 0.207859i | ||||
\(681\) | 17.3306 | − | 18.6671i | 0.664109 | − | 0.715326i | ||||
\(682\) | −18.7054 | − | 36.1819i | −0.716266 | − | 1.38547i | ||||
\(683\) | − | 1.96860i | − | 0.0753264i | −0.999290 | − | 0.0376632i | \(-0.988009\pi\) | ||
0.999290 | − | 0.0376632i | \(-0.0119914\pi\) | |||||||
\(684\) | 28.2731 | + | 0.528553i | 1.08105 | + | 0.0202097i | ||||
\(685\) | − | 20.6253i | − | 0.788053i | ||||||
\(686\) | 1.25626 | − | 0.649466i | 0.0479643 | − | 0.0247967i | ||||
\(687\) | 45.8252 | + | 10.4732i | 1.74834 | + | 0.399578i | ||||
\(688\) | 18.4155 | + | 15.8104i | 0.702085 | + | 0.602765i | ||||
\(689\) | 4.75886 | − | 8.24259i | 0.181298 | − | 0.314018i | ||||
\(690\) | 1.21198 | − | 4.35977i | 0.0461393 | − | 0.165974i | ||||
\(691\) | −3.05236 | + | 1.76228i | −0.116117 | + | 0.0670402i | −0.556934 | − | 0.830557i | \(-0.688022\pi\) |
0.440817 | + | 0.897597i | \(0.354689\pi\) | |||||||
\(692\) | −0.514508 | + | 5.52147i | −0.0195587 | + | 0.209895i | ||||
\(693\) | −8.89098 | + | 0.661126i | −0.337741 | + | 0.0251141i | ||||
\(694\) | −25.6106 | − | 1.19066i | −0.972166 | − | 0.0451969i | ||||
\(695\) | −12.7919 | − | 22.1562i | −0.485223 | − | 0.840431i | ||||
\(696\) | 5.42749 | + | 6.66880i | 0.205728 | + | 0.252780i | ||||
\(697\) | −1.81466 | + | 3.14308i | −0.0687350 | + | 0.119053i | ||||
\(698\) | 5.01729 | − | 7.82669i | 0.189907 | − | 0.296245i | ||||
\(699\) | −11.5884 | + | 3.57090i | −0.438315 | + | 0.135064i | ||||
\(700\) | −2.71054 | − | 5.89954i | −0.102449 | − | 0.222982i | ||||
\(701\) | − | 27.2753i | − | 1.03017i | −0.857138 | − | 0.515086i | \(-0.827760\pi\) | ||
0.857138 | − | 0.515086i | \(-0.172240\pi\) | |||||||
\(702\) | −29.9747 | + | 34.1401i | −1.13132 | + | 1.28853i | ||||
\(703\) | 31.6798 | 1.19483 | ||||||||
\(704\) | 23.0656 | − | 5.76335i | 0.869318 | − | 0.217214i | ||||
\(705\) | 7.99164 | + | 25.9348i | 0.300982 | + | 0.976762i | ||||
\(706\) | 28.2758 | + | 18.1261i | 1.06417 | + | 0.682185i | ||||
\(707\) | 9.68229 | + | 5.59007i | 0.364140 | + | 0.210236i | ||||
\(708\) | −17.4021 | + | 15.5607i | −0.654011 | + | 0.584808i | ||||
\(709\) | −5.07687 | + | 2.93113i | −0.190666 | + | 0.110081i | −0.592294 | − | 0.805722i | \(-0.701778\pi\) |
0.401628 | + | 0.915803i | \(0.368444\pi\) | |||||||
\(710\) | 6.63829 | + | 0.308620i | 0.249130 | + | 0.0115823i | ||||
\(711\) | −6.24609 | − | 3.01240i | −0.234246 | − | 0.112974i | ||||
\(712\) | 3.49740 | − | 24.9312i | 0.131071 | − | 0.934337i | ||||
\(713\) | 6.75956 | + | 11.7079i | 0.253148 | + | 0.438464i | ||||
\(714\) | 4.33295 | + | 1.20452i | 0.162157 | + | 0.0450782i | ||||
\(715\) | −21.0720 | − | 12.1659i | −0.788049 | − | 0.454980i | ||||
\(716\) | 41.9776 | + | 29.7478i | 1.56878 | + | 1.11173i | ||||
\(717\) | −5.46819 | + | 23.9259i | −0.204213 | + | 0.893529i | ||||
\(718\) | −30.4231 | + | 15.7282i | −1.13538 | + | 0.586973i | ||||
\(719\) | −9.78534 | −0.364932 | −0.182466 | − | 0.983212i | \(-0.558408\pi\) | ||||
−0.182466 | + | 0.983212i | \(0.558408\pi\) | |||||||
\(720\) | −6.36358 | − | 14.5619i | −0.237157 | − | 0.542692i | ||||
\(721\) | −7.13412 | −0.265689 | ||||||||
\(722\) | 4.03574 | − | 2.08641i | 0.150195 | − | 0.0776481i | ||||
\(723\) | 1.16336 | + | 1.08006i | 0.0432657 | + | 0.0401679i | ||||
\(724\) | 31.2034 | + | 22.1126i | 1.15966 | + | 0.821807i | ||||
\(725\) | −4.93416 | − | 2.84874i | −0.183250 | − | 0.105800i | ||||
\(726\) | −1.32655 | − | 5.14251i | −0.0492327 | − | 0.190857i | ||||
\(727\) | 16.2446 | + | 28.1365i | 0.602480 | + | 1.04353i | 0.992444 | + | 0.122696i | \(0.0391540\pi\) |
−0.389964 | + | 0.920830i | \(0.627513\pi\) | |||||||
\(728\) | −17.3171 | − | 2.42927i | −0.641813 | − | 0.0900348i | ||||
\(729\) | −5.96247 | − | 26.3334i | −0.220832 | − | 0.975312i | ||||
\(730\) | −23.0642 | − | 1.07227i | −0.853643 | − | 0.0396867i | ||||
\(731\) | 9.64800 | − | 5.57027i | 0.356844 | − | 0.206024i | ||||
\(732\) | 2.55333 | + | 12.2193i | 0.0943739 | + | 0.451637i | ||||
\(733\) | 38.4902 | + | 22.2224i | 1.42167 | + | 0.820801i | 0.996442 | − | 0.0842848i | \(-0.0268605\pi\) |
0.425228 | + | 0.905086i | \(0.360194\pi\) | |||||||
\(734\) | 11.6619 | + | 7.47587i | 0.430450 | + | 0.275939i | ||||
\(735\) | −1.56064 | + | 1.68100i | −0.0575652 | + | 0.0620046i | ||||
\(736\) | −7.55865 | + | 2.26640i | −0.278616 | + | 0.0835406i | ||||
\(737\) | 2.32006 | 0.0854606 | ||||||||
\(738\) | 4.39334 | + | 7.14384i | 0.161721 | + | 0.262968i | ||||
\(739\) | 10.6660i | 0.392356i | 0.980568 | + | 0.196178i | \(0.0628530\pi\) | ||||
−0.980568 | + | 0.196178i | \(0.937147\pi\) | |||||||
\(740\) | −7.43277 | − | 16.1776i | −0.273234 | − | 0.594699i | ||||
\(741\) | −11.2445 | + | 49.1999i | −0.413077 | + | 1.80740i | ||||
\(742\) | −1.17496 | + | 1.83287i | −0.0431341 | + | 0.0672869i | ||||
\(743\) | −23.2659 | + | 40.2977i | −0.853543 | + | 1.47838i | 0.0244480 | + | 0.999701i | \(0.492217\pi\) |
−0.877991 | + | 0.478678i | \(0.841116\pi\) | |||||||
\(744\) | 44.3660 | + | 16.9055i | 1.62654 | + | 0.619785i | ||||
\(745\) | −2.96994 | − | 5.14409i | −0.108810 | − | 0.188465i | ||||
\(746\) | −16.6352 | − | 0.773386i | −0.609058 | − | 0.0283157i | ||||
\(747\) | −13.2490 | + | 27.4713i | −0.484757 | + | 1.00512i | ||||
\(748\) | 1.01249 | − | 10.8655i | 0.0370201 | − | 0.397283i | ||||
\(749\) | 16.3522 | − | 9.44094i | 0.597496 | − | 0.344964i | ||||
\(750\) | 18.7373 | + | 19.0908i | 0.684189 | + | 0.697099i | ||||
\(751\) | −6.17353 | + | 10.6929i | −0.225275 | + | 0.390188i | −0.956402 | − | 0.292054i | \(-0.905661\pi\) |
0.731127 | + | 0.682242i | \(0.238995\pi\) | |||||||
\(752\) | 30.8276 | − | 35.9072i | 1.12417 | − | 1.30940i | ||||
\(753\) | −5.74304 | − | 18.6376i | −0.209288 | − | 0.679191i | ||||
\(754\) | −13.6316 | + | 7.04731i | −0.496434 | + | 0.256648i | ||||
\(755\) | − | 18.4334i | − | 0.670861i | ||||||
\(756\) | 7.21188 | − | 7.48257i | 0.262294 | − | 0.272138i | ||||
\(757\) | − | 40.5489i | − | 1.47378i | −0.676015 | − | 0.736888i | \(-0.736294\pi\) | ||
0.676015 | − | 0.736888i | \(-0.263706\pi\) | |||||||
\(758\) | 12.1851 | + | 23.5697i | 0.442584 | + | 0.856090i | ||||
\(759\) | −2.11449 | − | 6.86203i | −0.0767511 | − | 0.249076i | ||||
\(760\) | −13.9140 | − | 10.8651i | −0.504712 | − | 0.394118i | ||||
\(761\) | −17.2534 | + | 29.8838i | −0.625436 | + | 1.08329i | 0.363020 | + | 0.931781i | \(0.381746\pi\) |
−0.988456 | + | 0.151506i | \(0.951588\pi\) | |||||||
\(762\) | 13.1671 | − | 12.9233i | 0.476995 | − | 0.468161i | ||||
\(763\) | −8.22871 | + | 4.75085i | −0.297899 | + | 0.171992i | ||||
\(764\) | 52.5003 | + | 4.89215i | 1.89939 | + | 0.176992i | ||||
\(765\) | −7.27419 | + | 0.540903i | −0.262999 | + | 0.0195564i | ||||
\(766\) | −1.56450 | + | 33.6516i | −0.0565275 | + | 1.21588i | ||||
\(767\) | −20.8318 | − | 36.0817i | −0.752192 | − | 1.30283i | ||||
\(768\) | −15.5642 | + | 22.9294i | −0.561624 | + | 0.827392i | ||||
\(769\) | −1.10561 | + | 1.91497i | −0.0398692 | + | 0.0690555i | −0.885271 | − | 0.465075i | \(-0.846027\pi\) |
0.845402 | + | 0.534130i | \(0.179361\pi\) | |||||||
\(770\) | 4.68570 | + | 3.00376i | 0.168861 | + | 0.108248i | ||||
\(771\) | 7.19515 | − | 31.4821i | 0.259127 | − | 1.13380i | ||||
\(772\) | −13.9509 | − | 30.3644i | −0.502104 | − | 1.09284i | ||||
\(773\) | 17.9298i | 0.644890i | 0.946588 | + | 0.322445i | \(0.104505\pi\) | ||||
−0.946588 | + | 0.322445i | \(0.895495\pi\) | |||||||
\(774\) | −0.714684 | − | 25.7338i | −0.0256888 | − | 0.924981i | ||||
\(775\) | −31.4602 | −1.13008 | ||||||||
\(776\) | 0.697179 | − | 0.281884i | 0.0250273 | − | 0.0101191i | ||||
\(777\) | 7.92134 | − | 8.53223i | 0.284176 | − | 0.306092i | ||||
\(778\) | 13.3709 | − | 20.8579i | 0.479371 | − | 0.747794i | ||||
\(779\) | 8.06829 | + | 4.65823i | 0.289076 | + | 0.166898i | ||||
\(780\) | 27.7626 | − | 5.80126i | 0.994060 | − | 0.207719i | ||||
\(781\) | 9.13225 | − | 5.27251i | 0.326778 | − | 0.188665i | ||||
\(782\) | −0.168209 | + | 3.61811i | −0.00601516 | + | 0.129383i | ||||
\(783\) | 1.36705 | − | 9.01681i | 0.0488544 | − | 0.322235i | ||||
\(784\) | 3.93113 | + | 0.739049i | 0.140398 | + | 0.0263946i | ||||
\(785\) | −9.40239 | − | 16.2854i | −0.335586 | − | 0.581251i | ||||
\(786\) | 40.1890 | − | 10.3670i | 1.43349 | − | 0.369779i | ||||
\(787\) | −0.0369277 | − | 0.0213202i | −0.00131633 | − | 0.000759984i | 0.499342 | − | 0.866405i | \(-0.333575\pi\) |
−0.500658 | + | 0.865645i | \(0.666909\pi\) | |||||||
\(788\) | −0.887210 | − | 0.628729i | −0.0316055 | − | 0.0223976i | ||||
\(789\) | 17.7966 | + | 16.5224i | 0.633577 | + | 0.588214i | ||||
\(790\) | 1.98812 | + | 3.84562i | 0.0707341 | + | 0.136821i | ||||
\(791\) | 11.6812 | 0.415335 | ||||||||
\(792\) | −20.9713 | − | 14.0035i | −0.745183 | − | 0.497592i | ||||
\(793\) | −22.2790 | −0.791150 | ||||||||
\(794\) | 1.30135 | + | 2.51720i | 0.0461832 | + | 0.0893321i | ||||
\(795\) | 0.786758 | − | 3.44243i | 0.0279034 | − | 0.122090i | ||||
\(796\) | −18.3843 | + | 25.9424i | −0.651615 | + | 0.919504i | ||||
\(797\) | 27.9380 | + | 16.1300i | 0.989615 | + | 0.571354i | 0.905159 | − | 0.425073i | \(-0.139752\pi\) |
0.0844556 | + | 0.996427i | \(0.473085\pi\) | |||||||
\(798\) | 3.09202 | − | 11.1227i | 0.109456 | − | 0.393739i | ||||
\(799\) | −10.8611 | − | 18.8120i | −0.384238 | − | 0.665520i | ||||
\(800\) | 4.22732 | − | 17.8702i | 0.149458 | − | 0.631805i | ||||
\(801\) | −22.0713 | + | 15.0293i | −0.779851 | + | 0.531034i | ||||
\(802\) | −1.38720 | + | 29.8381i | −0.0489838 | + | 1.05362i | ||||
\(803\) | −31.7292 | + | 18.3189i | −1.11970 | + | 0.646459i | ||||
\(804\) | −2.01595 | + | 1.80264i | −0.0710971 | + | 0.0635741i | ||||
\(805\) | −1.59986 | − | 0.923682i | −0.0563878 | − | 0.0325555i | ||||
\(806\) | −45.7295 | + | 71.3355i | −1.61075 | + | 2.51269i | ||||
\(807\) | −4.94627 | − | 16.0519i | −0.174117 | − | 0.565052i | ||||
\(808\) | 11.8533 | + | 29.3166i | 0.416999 | + | 1.03135i | ||||
\(809\) | 36.1200 | 1.26991 | 0.634956 | − | 0.772549i | \(-0.281018\pi\) | ||||
0.634956 | + | 0.772549i | \(0.281018\pi\) | |||||||
\(810\) | −6.89786 | + | 15.3796i | −0.242366 | + | 0.540385i | ||||
\(811\) | 14.9254i | 0.524102i | 0.965054 | + | 0.262051i | \(0.0843989\pi\) | ||||
−0.965054 | + | 0.262051i | \(0.915601\pi\) | |||||||
\(812\) | 3.18968 | − | 1.46550i | 0.111936 | − | 0.0514288i | ||||
\(813\) | 21.5705 | − | 6.64679i | 0.756509 | − | 0.233113i | ||||
\(814\) | −23.7832 | − | 15.2462i | −0.833600 | − | 0.534378i | ||||
\(815\) | −10.4936 | + | 18.1755i | −0.367576 | + | 0.636660i | ||||
\(816\) | 7.56251 | + | 10.2280i | 0.264741 | + | 0.358050i | ||||
\(817\) | −14.2989 | − | 24.7664i | −0.500256 | − | 0.866468i | ||||
\(818\) | 1.31464 | − | 28.2774i | 0.0459653 | − | 0.988694i | ||||
\(819\) | 10.4393 | + | 15.3306i | 0.364777 | + | 0.535694i | ||||
\(820\) | 0.485771 | − | 5.21307i | 0.0169638 | − | 0.182048i | ||||
\(821\) | 41.4573 | − | 23.9354i | 1.44687 | − | 0.835351i | 0.448577 | − | 0.893744i | \(-0.351931\pi\) |
0.998294 | + | 0.0583926i | \(0.0185975\pi\) | |||||||
\(822\) | 36.7556 | + | 10.2178i | 1.28200 | + | 0.356385i | ||||
\(823\) | 10.4875 | − | 18.1649i | 0.365572 | − | 0.633189i | −0.623296 | − | 0.781986i | \(-0.714207\pi\) |
0.988868 | + | 0.148797i | \(0.0475402\pi\) | |||||||
\(824\) | −15.9039 | − | 12.4190i | −0.554039 | − | 0.432636i | ||||
\(825\) | 16.2895 | + | 3.72291i | 0.567127 | + | 0.129615i | ||||
\(826\) | 4.37675 | + | 8.46595i | 0.152287 | + | 0.294568i | ||||
\(827\) | 3.66717i | 0.127520i | 0.997965 | + | 0.0637600i | \(0.0203092\pi\) | ||||
−0.997965 | + | 0.0637600i | \(0.979691\pi\) | |||||||
\(828\) | 7.16897 | + | 4.31965i | 0.249139 | + | 0.150118i | ||||
\(829\) | 3.47918i | 0.120837i | 0.998173 | + | 0.0604185i | \(0.0192435\pi\) | ||||
−0.998173 | + | 0.0604185i | \(0.980756\pi\) | |||||||
\(830\) | 16.9137 | − | 8.74408i | 0.587083 | − | 0.303512i | ||||
\(831\) | 10.7781 | − | 11.6093i | 0.373887 | − | 0.402721i | ||||
\(832\) | −34.3756 | − | 35.5608i | −1.19176 | − | 1.23285i | ||||
\(833\) | 0.917999 | − | 1.59002i | 0.0318068 | − | 0.0550910i | ||||
\(834\) | 45.8207 | − | 11.8198i | 1.58664 | − | 0.409285i | ||||
\(835\) | 13.0200 | − | 7.51708i | 0.450574 | − | 0.260139i | ||||
\(836\) | −27.8918 | − | 2.59905i | −0.964660 | − | 0.0898901i | ||||
\(837\) | −18.3572 | − | 46.8926i | −0.634516 | − | 1.62085i | ||||
\(838\) | 0.540981 | + | 0.0251507i | 0.0186879 | + | 0.000868816i | ||||
\(839\) | 11.3173 | + | 19.6022i | 0.390717 | + | 0.676742i | 0.992544 | − | 0.121884i | \(-0.0388936\pi\) |
−0.601827 | + | 0.798627i | \(0.705560\pi\) | |||||||
\(840\) | −6.40536 | + | 1.03066i | −0.221006 | + | 0.0355611i | ||||
\(841\) | −12.9598 | + | 22.4470i | −0.446889 | + | 0.774035i | ||||
\(842\) | 27.8994 | − | 43.5215i | 0.961477 | − | 1.49985i | ||||
\(843\) | 19.0094 | + | 17.6484i | 0.654719 | + | 0.607842i | ||||
\(844\) | −20.3228 | + | 9.33730i | −0.699540 | + | 0.321403i | ||||
\(845\) | 33.4027i | 1.14909i | ||||||||
\(846\) | −50.1765 | + | 1.39352i | −1.72510 | + | 0.0479100i | ||||
\(847\) | −2.16815 | −0.0744984 | ||||||||
\(848\) | −5.80995 | + | 2.04062i | −0.199514 | + | 0.0700752i | ||||
\(849\) | −9.66054 | − | 2.20789i | −0.331549 | − | 0.0757746i | ||||
\(850\) | −7.09593 | − | 4.54883i | −0.243388 | − | 0.156024i | ||||
\(851\) | 8.12041 | + | 4.68832i | 0.278364 | + | 0.160714i | ||||
\(852\) | −3.83858 | + | 11.6769i | −0.131508 | + | 0.400046i | ||||
\(853\) | −15.3908 | + | 8.88587i | −0.526970 | + | 0.304246i | −0.739782 | − | 0.672847i | \(-0.765071\pi\) |
0.212812 | + | 0.977093i | \(0.431738\pi\) | |||||||
\(854\) | 5.09074 | + | 0.236673i | 0.174201 | + | 0.00809878i | ||||
\(855\) | 1.38850 | + | 18.6729i | 0.0474857 | + | 0.638599i | ||||
\(856\) | 52.8882 | + | 7.41925i | 1.80768 | + | 0.253585i | ||||
\(857\) | 21.0571 | + | 36.4720i | 0.719298 | + | 1.24586i | 0.961278 | + | 0.275579i | \(0.0888696\pi\) |
−0.241981 | + | 0.970281i | \(0.577797\pi\) | |||||||
\(858\) | 32.1195 | − | 31.5247i | 1.09654 | − | 1.07623i | ||||
\(859\) | −22.4831 | − | 12.9806i | −0.767113 | − | 0.442893i | 0.0647307 | − | 0.997903i | \(-0.479381\pi\) |
−0.831844 | + | 0.555010i | \(0.812715\pi\) | |||||||
\(860\) | −9.29237 | + | 13.1126i | −0.316867 | + | 0.447137i | ||||
\(861\) | 3.27201 | − | 1.00825i | 0.111510 | − | 0.0343610i | ||||
\(862\) | 21.5514 | − | 11.1417i | 0.734045 | − | 0.379489i | ||||
\(863\) | 46.0325 | 1.56696 | 0.783482 | − | 0.621415i | \(-0.213442\pi\) | ||||
0.783482 | + | 0.621415i | \(0.213442\pi\) | |||||||
\(864\) | 29.1028 | − | 4.12633i | 0.990098 | − | 0.140381i | ||||
\(865\) | −3.67190 | −0.124848 | ||||||||
\(866\) | −17.3053 | + | 8.94653i | −0.588057 | + | 0.304016i | ||||
\(867\) | −22.5596 | + | 6.95157i | −0.766163 | + | 0.236088i | ||||
\(868\) | 11.2070 | − | 15.8143i | 0.380390 | − | 0.536774i | ||||
\(869\) | 5.94914 | + | 3.43474i | 0.201811 | + | 0.116515i | ||||
\(870\) | −4.06328 | + | 3.98803i | −0.137758 | + | 0.135207i | ||||
\(871\) | −2.41326 | − | 4.17989i | −0.0817703 | − | 0.141630i | ||||
\(872\) | −26.6143 | − | 3.73350i | −0.901273 | − | 0.126432i | ||||
\(873\) | −0.718436 | − | 0.346492i | −0.0243154 | − | 0.0117270i | ||||
\(874\) | 9.28771 | + | 0.431794i | 0.314162 | + | 0.0146057i | ||||
\(875\) | 9.45744 | − | 5.46026i | 0.319720 | − | 0.184590i | ||||
\(876\) | 13.3368 | − | 40.5706i | 0.450609 | − | 1.37075i | ||||
\(877\) | −16.3218 | − | 9.42340i | −0.551148 | − | 0.318205i | 0.198437 | − | 0.980114i | \(-0.436414\pi\) |
−0.749585 | + | 0.661908i | \(0.769747\pi\) | |||||||
\(878\) | −17.7287 | − | 11.3649i | −0.598315 | − | 0.383548i | ||||
\(879\) | −10.1432 | − | 2.31821i | −0.342123 | − | 0.0781913i | ||||
\(880\) | 5.21680 | + | 14.8530i | 0.175858 | + | 0.500695i | ||||
\(881\) | −54.5049 | −1.83632 | −0.918159 | − | 0.396213i | \(-0.870324\pi\) | ||||
−0.918159 | + | 0.396213i | \(0.870324\pi\) | |||||||
\(882\) | −2.22251 | − | 3.61393i | −0.0748356 | − | 0.121687i | ||||
\(883\) | − | 6.26574i | − | 0.210859i | −0.994427 | − | 0.105429i | \(-0.966378\pi\) | ||
0.994427 | − | 0.105429i | \(-0.0336217\pi\) | |||||||
\(884\) | −20.6288 | + | 9.47789i | −0.693822 | + | 0.318776i | ||||
\(885\) | −11.3283 | − | 10.5172i | −0.380795 | − | 0.353531i | ||||
\(886\) | 3.75088 | − | 5.85117i | 0.126013 | − | 0.196574i | ||||
\(887\) | 3.88225 | − | 6.72425i | 0.130353 | − | 0.225778i | −0.793460 | − | 0.608623i | \(-0.791722\pi\) |
0.923813 | + | 0.382845i | \(0.125056\pi\) | |||||||
\(888\) | 32.5116 | − | 5.23131i | 1.09102 | − | 0.175551i | ||||
\(889\) | −3.76599 | − | 6.52289i | −0.126307 | − | 0.218771i | ||||
\(890\) | 16.6519 | + | 0.774164i | 0.558174 | + | 0.0259500i | ||||
\(891\) | 3.95584 | + | 26.4524i | 0.132526 | + | 0.886190i | ||||
\(892\) | −24.9227 | − | 2.32238i | −0.834474 | − | 0.0777590i | ||||
\(893\) | −48.2904 | + | 27.8805i | −1.61598 | + | 0.932985i | ||||
\(894\) | 10.6384 | − | 2.74425i | 0.355801 | − | 0.0917814i | ||||
\(895\) | −17.0337 | + | 29.5033i | −0.569375 | + | 0.986187i | ||||
\(896\) | 7.47704 | + | 8.49081i | 0.249790 | + | 0.283658i | ||||
\(897\) | −10.1634 | + | 10.9472i | −0.339347 | + | 0.365517i | ||||
\(898\) | −36.7399 | + | 18.9939i | −1.22603 | + | 0.633835i | ||||
\(899\) | − | 17.0095i | − | 0.567298i | ||||||
\(900\) | −17.0469 | + | 9.42165i | −0.568230 | + | 0.314055i | ||||
\(901\) | 2.82647i | 0.0941634i | ||||||||
\(902\) | −3.81535 | − | 7.38003i | −0.127037 | − | 0.245728i | ||||
\(903\) | −10.2456 | − | 2.34161i | −0.340953 | − | 0.0779239i | ||||
\(904\) | 26.0406 | + | 20.3345i | 0.866096 | + | 0.676314i | ||||
\(905\) | −12.6618 | + | 21.9308i | −0.420891 | + | 0.729004i | ||||
\(906\) | 32.8495 | + | 9.13189i | 1.09135 | + | 0.303387i | ||||
\(907\) | 14.6059 | − | 8.43273i | 0.484981 | − | 0.280004i | −0.237509 | − | 0.971385i | \(-0.576331\pi\) |
0.722490 | + | 0.691381i | \(0.242998\pi\) | |||||||
\(908\) | 2.72891 | − | 29.2854i | 0.0905620 | − | 0.971870i | ||||
\(909\) | 14.5701 | − | 30.2105i | 0.483260 | − | 1.00202i | ||||
\(910\) | 0.537730 | − | 11.5663i | 0.0178256 | − | 0.383420i | ||||
\(911\) | −16.8269 | − | 29.1450i | −0.557499 | − | 0.965617i | −0.997704 | − | 0.0677195i | \(-0.978428\pi\) |
0.440205 | − | 0.897897i | \(-0.354906\pi\) | |||||||
\(912\) | 26.2552 | − | 19.4130i | 0.869397 | − | 0.642828i | ||||
\(913\) | 15.1066 | − | 26.1653i | 0.499954 | − | 0.865946i | ||||
\(914\) | −38.0680 | − | 24.4034i | −1.25918 | − | 0.807194i | ||||
\(915\) | −7.89925 | + | 2.43410i | −0.261141 | + | 0.0804689i | ||||
\(916\) | 49.3220 | − | 22.6609i | 1.62965 | − | 0.748739i | ||||
\(917\) | − | 16.9442i | − | 0.559545i | ||||||
\(918\) | 2.63970 | − | 13.2310i | 0.0871232 | − | 0.436689i | ||||
\(919\) | 20.7288 | 0.683781 | 0.341890 | − | 0.939740i | \(-0.388933\pi\) | ||||
0.341890 | + | 0.939740i | \(0.388933\pi\) | |||||||
\(920\) | −1.95860 | − | 4.84416i | −0.0645731 | − | 0.159707i | ||||
\(921\) | 10.5481 | + | 34.2313i | 0.347573 | + | 1.12796i | ||||
\(922\) | −4.54218 | + | 7.08555i | −0.149589 | + | 0.233350i | ||||
\(923\) | −18.9982 | − | 10.9686i | −0.625334 | − | 0.361037i | ||||
\(924\) | −7.67418 | + | 6.86216i | −0.252462 | + | 0.225748i | ||||
\(925\) | −18.8969 | + | 10.9101i | −0.621327 | + | 0.358723i | ||||
\(926\) | −0.522625 | + | 11.2414i | −0.0171745 | + | 0.369417i | ||||
\(927\) | 1.58708 | + | 21.3434i | 0.0521266 | + | 0.701011i | ||||
\(928\) | 9.66179 | + | 2.28557i | 0.317164 | + | 0.0750274i | ||||
\(929\) | 12.6456 | + | 21.9028i | 0.414888 | + | 0.718608i | 0.995417 | − | 0.0956322i | \(-0.0304873\pi\) |
−0.580528 | + | 0.814240i | \(0.697154\pi\) | |||||||
\(930\) | −8.42009 | + | 30.2890i | −0.276106 | + | 0.993215i | ||||
\(931\) | −4.08159 | − | 2.35651i | −0.133769 | − | 0.0772314i | ||||
\(932\) | −8.09591 | + | 11.4243i | −0.265190 | + | 0.374215i | ||||
\(933\) | 3.93000 | − | 17.1956i | 0.128663 | − | 0.562959i | ||||
\(934\) | 4.29454 | + | 8.30693i | 0.140522 | + | 0.271811i | ||||
\(935\) | 7.22581 | 0.236309 | ||||||||
\(936\) | −3.41533 | + | 52.3486i | −0.111634 | + | 1.71107i | ||||
\(937\) | −43.1018 | −1.40807 | −0.704037 | − | 0.710164i | \(-0.748621\pi\) | ||||
−0.704037 | + | 0.710164i | \(0.748621\pi\) | |||||||
\(938\) | 0.507026 | + | 0.980740i | 0.0165550 | + | 0.0320223i | ||||
\(939\) | 12.1636 | + | 11.2927i | 0.396944 | + | 0.368523i | ||||
\(940\) | 25.5674 | + | 18.1186i | 0.833917 | + | 0.590963i | ||||
\(941\) | 11.4234 | + | 6.59531i | 0.372393 | + | 0.215001i | 0.674503 | − | 0.738272i | \(-0.264358\pi\) |
−0.302110 | + | 0.953273i | \(0.597691\pi\) | |||||||
\(942\) | 33.6795 | − | 8.68787i | 1.09734 | − | 0.283066i | ||||
\(943\) | 1.37875 | + | 2.38807i | 0.0448983 | + | 0.0777662i | ||||
\(944\) | −4.98045 | + | 26.4919i | −0.162100 | + | 0.862238i | ||||
\(945\) | 5.37630 | + | 4.29508i | 0.174891 | + | 0.139719i | ||||
\(946\) | −1.18434 | + | 25.4745i | −0.0385061 | + | 0.828249i | ||||
\(947\) | −6.29295 | + | 3.63324i | −0.204494 | + | 0.118064i | −0.598750 | − | 0.800936i | \(-0.704336\pi\) |
0.394256 | + | 0.919001i | \(0.371002\pi\) | |||||||
\(948\) | −7.83805 | + | 1.63784i | −0.254568 | + | 0.0531945i | ||||
\(949\) | 66.0077 | + | 38.1096i | 2.14270 | + | 1.23709i | ||||
\(950\) | −11.6769 | + | 18.2153i | −0.378848 | + | 0.590982i | ||||
\(951\) | −26.1913 | + | 28.2111i | −0.849310 | + | 0.914809i | ||||
\(952\) | 4.81436 | − | 1.94655i | 0.156034 | − | 0.0630880i | ||||
\(953\) | −39.9962 | −1.29560 | −0.647802 | − | 0.761809i | \(-0.724312\pi\) | ||||
−0.647802 | + | 0.761809i | \(0.724312\pi\) | |||||||
\(954\) | 5.74487 | + | 3.10743i | 0.185997 | + | 0.100607i | ||||
\(955\) | 34.9138i | 1.12979i | ||||||||
\(956\) | 11.8316 | + | 25.7516i | 0.382660 | + | 0.832867i | ||||
\(957\) | −2.01285 | + | 8.80717i | −0.0650663 | + | 0.284695i | ||||
\(958\) | −10.4622 | − | 6.70677i | −0.338018 | − | 0.216686i | ||||
\(959\) | 7.78721 | − | 13.4878i | 0.251462 | − | 0.435545i | ||||
\(960\) | −16.0735 | − | 8.85275i | −0.518769 | − | 0.285721i | ||||
\(961\) | −31.4612 | − | 54.4924i | −1.01488 | − | 1.75782i | ||||
\(962\) | −2.72935 | + | 58.7071i | −0.0879977 | + | 1.89279i | ||||
\(963\) | −31.8826 | − | 46.8212i | −1.02740 | − | 1.50879i | ||||
\(964\) | 1.82510 | + | 0.170069i | 0.0587824 | + | 0.00547754i | ||||
\(965\) | 19.1621 | − | 11.0632i | 0.616849 | − | 0.356138i | ||||
\(966\) | 2.43863 | − | 2.39347i | 0.0784616 | − | 0.0770085i | ||||
\(967\) | 25.3681 | − | 43.9389i | 0.815784 | − | 1.41298i | −0.0929804 | − | 0.995668i | \(-0.529639\pi\) |
0.908764 | − | 0.417311i | \(-0.137027\pi\) | |||||||
\(968\) | −4.83339 | − | 3.77428i | −0.155351 | − | 0.121310i | ||||
\(969\) | −4.41353 | − | 14.3230i | −0.141783 | − | 0.460121i | ||||
\(970\) | 0.228677 | + | 0.442330i | 0.00734238 | + | 0.0142024i | ||||
\(971\) | 5.37369i | 0.172450i | 0.996276 | + | 0.0862249i | \(0.0274804\pi\) | ||||
−0.996276 | + | 0.0862249i | \(0.972520\pi\) | |||||||
\(972\) | −23.9903 | − | 19.9115i | −0.769488 | − | 0.638661i | ||||
\(973\) | − | 19.3186i | − | 0.619325i | ||||||
\(974\) | −37.4855 | + | 19.3794i | −1.20111 | + | 0.620955i | ||||
\(975\) | −10.2365 | − | 33.2201i | −0.327832 | − | 1.06389i | ||||
\(976\) | 10.9366 | + | 9.38950i | 0.350073 | + | 0.300551i | ||||
\(977\) | −25.8542 | + | 44.7807i | −0.827148 | + | 1.43266i | 0.0731187 | + | 0.997323i | \(0.476705\pi\) |
−0.900267 | + | 0.435339i | \(0.856629\pi\) | |||||||
\(978\) | −27.1913 | − | 27.7044i | −0.869483 | − | 0.885889i | ||||
\(979\) | 22.9080 | − | 13.2259i | 0.732142 | − | 0.422702i | ||||
\(980\) | −0.245742 | + | 2.63719i | −0.00784993 | + | 0.0842419i | ||||
\(981\) | 16.0439 | + | 23.5613i | 0.512242 | + | 0.752254i | ||||
\(982\) | −6.36842 | − | 0.296074i | −0.203225 | − | 0.00944810i | ||||
\(983\) | 9.94753 | + | 17.2296i | 0.317277 | + | 0.549540i | 0.979919 | − | 0.199397i | \(-0.0638982\pi\) |
−0.662642 | + | 0.748936i | \(0.730565\pi\) | |||||||
\(984\) | 9.04936 | + | 3.44822i | 0.288483 | + | 0.109925i | ||||
\(985\) | 0.360013 | − | 0.623561i | 0.0114710 | − | 0.0198683i | ||||
\(986\) | 2.45940 | − | 3.83653i | 0.0783233 | − | 0.122180i | ||||
\(987\) | −4.56575 | + | 19.9773i | −0.145329 | + | 0.635884i | ||||
\(988\) | 24.3298 | + | 52.9543i | 0.774033 | + | 1.68470i | ||||
\(989\) | − | 8.46444i | − | 0.269154i | ||||||
\(990\) | 7.94407 | − | 14.6866i | 0.252479 | − | 0.466772i | ||||
\(991\) | −15.7154 | −0.499217 | −0.249609 | − | 0.968347i | \(-0.580302\pi\) | ||||
−0.249609 | + | 0.968347i | \(0.580302\pi\) | |||||||
\(992\) | 52.5128 | − | 15.7455i | 1.66728 | − | 0.499921i | ||||
\(993\) | 8.66272 | − | 9.33079i | 0.274903 | − | 0.296104i | ||||
\(994\) | 4.22456 | + | 2.70815i | 0.133995 | + | 0.0858972i | ||||
\(995\) | −18.2332 | − | 10.5269i | −0.578031 | − | 0.333726i | ||||
\(996\) | 7.20348 | + | 34.4730i | 0.228251 | + | 1.09232i | ||||
\(997\) | −17.7281 | + | 10.2353i | −0.561455 | + | 0.324156i | −0.753729 | − | 0.657185i | \(-0.771747\pi\) |
0.192275 | + | 0.981341i | \(0.438414\pi\) | |||||||
\(998\) | −33.7097 | − | 1.56719i | −1.06706 | − | 0.0496086i | ||||
\(999\) | −27.2884 | − | 21.8005i | −0.863368 | − | 0.689737i |
(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 | 504.2.cs.a.85.6 | ✓ | 72 | |
8.5 | even | 2 | inner | 504.2.cs.a.85.30 | yes | 72 | |
9.7 | even | 3 | inner | 504.2.cs.a.421.30 | yes | 72 | |
72.61 | even | 6 | inner | 504.2.cs.a.421.6 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.cs.a.85.6 | ✓ | 72 | 1.1 | even | 1 | trivial | |
504.2.cs.a.85.30 | yes | 72 | 8.5 | even | 2 | inner | |
504.2.cs.a.421.6 | yes | 72 | 72.61 | even | 6 | inner | |
504.2.cs.a.421.30 | yes | 72 | 9.7 | even | 3 | inner |