Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,7,Mod(2,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.f (of order \(20\), 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: | \(5.75135209050\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 2.14 | ||
Character | \(\chi\) | \(=\) | 25.2 |
Dual form | 25.7.f.a.13.14 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 14.8618 | + | 2.35387i | 1.85772 | + | 0.294234i | 0.982042 | − | 0.188661i | \(-0.0604147\pi\) |
0.875678 | + | 0.482895i | \(0.160415\pi\) | |||||||
\(3\) | 1.72543 | + | 3.38635i | 0.0639049 | + | 0.125420i | 0.920749 | − | 0.390154i | \(-0.127578\pi\) |
−0.856845 | + | 0.515575i | \(0.827578\pi\) | |||||||
\(4\) | 154.464 | + | 50.1883i | 2.41350 | + | 0.784192i | ||||
\(5\) | −45.2307 | + | 116.530i | −0.361846 | + | 0.932238i | ||||
\(6\) | 17.6719 | + | 54.3886i | 0.0818145 | + | 0.251799i | ||||
\(7\) | −314.203 | − | 314.203i | −0.916043 | − | 0.916043i | 0.0806957 | − | 0.996739i | \(-0.474286\pi\) |
−0.996739 | + | 0.0806957i | \(0.974286\pi\) | |||||||
\(8\) | 1319.42 | + | 672.277i | 2.57699 | + | 1.31304i | ||||
\(9\) | 420.005 | − | 578.088i | 0.576139 | − | 0.792987i | ||||
\(10\) | −946.504 | + | 1625.37i | −0.946504 | + | 1.62537i | ||||
\(11\) | 1113.60 | − | 809.077i | 0.836663 | − | 0.607872i | −0.0847731 | − | 0.996400i | \(-0.527017\pi\) |
0.921437 | + | 0.388529i | \(0.127017\pi\) | |||||||
\(12\) | 96.5615 | + | 609.665i | 0.0558805 | + | 0.352816i | ||||
\(13\) | −3130.66 | + | 495.848i | −1.42497 | + | 0.225693i | −0.820825 | − | 0.571180i | \(-0.806486\pi\) |
−0.604147 | + | 0.796873i | \(0.706486\pi\) | |||||||
\(14\) | −3930.01 | − | 5409.20i | −1.43222 | − | 1.97128i | ||||
\(15\) | −472.653 | + | 47.8972i | −0.140045 | + | 0.0141918i | ||||
\(16\) | 9617.18 | + | 6987.29i | 2.34794 | + | 1.70588i | ||||
\(17\) | −534.089 | + | 1048.21i | −0.108709 | + | 0.213354i | −0.938952 | − | 0.344048i | \(-0.888202\pi\) |
0.830243 | + | 0.557402i | \(0.188202\pi\) | |||||||
\(18\) | 7602.76 | − | 7602.76i | 1.30363 | − | 1.30363i | ||||
\(19\) | −1211.85 | + | 393.754i | −0.176680 | + | 0.0574070i | −0.396021 | − | 0.918241i | \(-0.629609\pi\) |
0.219341 | + | 0.975648i | \(0.429609\pi\) | |||||||
\(20\) | −12834.9 | + | 15729.6i | −1.60437 | + | 1.96620i | ||||
\(21\) | 521.866 | − | 1606.14i | 0.0563509 | − | 0.173430i | ||||
\(22\) | 18454.5 | − | 9403.04i | 1.73314 | − | 0.883081i | ||||
\(23\) | 803.776 | − | 5074.84i | 0.0660620 | − | 0.417099i | −0.932389 | − | 0.361457i | \(-0.882279\pi\) |
0.998451 | − | 0.0556419i | \(-0.0177205\pi\) | |||||||
\(24\) | 5627.99i | 0.407117i | ||||||||
\(25\) | −11533.4 | − | 10541.4i | −0.738136 | − | 0.674652i | ||||
\(26\) | −47694.3 | −2.71361 | ||||||||
\(27\) | 5418.82 | + | 858.257i | 0.275305 | + | 0.0436040i | ||||
\(28\) | −32763.6 | − | 64302.2i | −1.49251 | − | 2.92922i | ||||
\(29\) | −13993.0 | − | 4546.61i | −0.573743 | − | 0.186420i | 0.00775249 | − | 0.999970i | \(-0.497532\pi\) |
−0.581496 | + | 0.813549i | \(0.697532\pi\) | |||||||
\(30\) | −7137.21 | − | 400.729i | −0.264341 | − | 0.0148418i | ||||
\(31\) | 15695.1 | + | 48304.7i | 0.526842 | + | 1.62145i | 0.760645 | + | 0.649168i | \(0.224883\pi\) |
−0.233804 | + | 0.972284i | \(0.575117\pi\) | |||||||
\(32\) | 59466.9 | + | 59466.9i | 1.81478 | + | 1.81478i | ||||
\(33\) | 4661.26 | + | 2375.03i | 0.129706 | + | 0.0660887i | ||||
\(34\) | −10404.9 | + | 14321.1i | −0.264728 | + | 0.364366i | ||||
\(35\) | 50825.6 | − | 22402.4i | 1.18544 | − | 0.522504i | ||||
\(36\) | 93888.8 | − | 68214.2i | 2.01236 | − | 1.46207i | ||||
\(37\) | 6723.73 | + | 42451.9i | 0.132741 | + | 0.838093i | 0.960758 | + | 0.277390i | \(0.0894693\pi\) |
−0.828017 | + | 0.560704i | \(0.810531\pi\) | |||||||
\(38\) | −18937.1 | + | 2999.34i | −0.345114 | + | 0.0546607i | ||||
\(39\) | −7080.87 | − | 9745.98i | −0.119369 | − | 0.164298i | ||||
\(40\) | −138019. | + | 123344.i | −2.15654 | + | 1.92725i | ||||
\(41\) | 21434.6 | + | 15573.2i | 0.311003 | + | 0.225957i | 0.732327 | − | 0.680954i | \(-0.238434\pi\) |
−0.421324 | + | 0.906910i | \(0.638434\pi\) | |||||||
\(42\) | 11536.5 | − | 22641.6i | 0.155713 | − | 0.305605i | ||||
\(43\) | −9654.08 | + | 9654.08i | −0.121424 | + | 0.121424i | −0.765208 | − | 0.643783i | \(-0.777364\pi\) |
0.643783 | + | 0.765208i | \(0.277364\pi\) | |||||||
\(44\) | 212617. | − | 69083.4i | 2.49597 | − | 0.810990i | ||||
\(45\) | 48367.3 | + | 75090.4i | 0.530779 | + | 0.824037i | ||||
\(46\) | 23891.1 | − | 73529.1i | 0.245449 | − | 0.755415i | ||||
\(47\) | 2110.83 | − | 1075.52i | 0.0203311 | − | 0.0103592i | −0.443795 | − | 0.896128i | \(-0.646368\pi\) |
0.464126 | + | 0.885769i | \(0.346368\pi\) | |||||||
\(48\) | −7067.63 | + | 44623.3i | −0.0639072 | + | 0.403494i | ||||
\(49\) | 79797.8i | 0.678270i | ||||||||
\(50\) | −146593. | − | 183813.i | −1.17274 | − | 1.47050i | ||||
\(51\) | −4471.14 | −0.0337060 | ||||||||
\(52\) | −508460. | − | 80532.1i | −3.61615 | − | 0.572742i | ||||
\(53\) | 82220.3 | + | 161367.i | 0.552270 | + | 1.08389i | 0.983374 | + | 0.181589i | \(0.0581241\pi\) |
−0.431104 | + | 0.902302i | \(0.641876\pi\) | |||||||
\(54\) | 78513.0 | + | 25510.4i | 0.498609 | + | 0.162008i | ||||
\(55\) | 43912.7 | + | 166363.i | 0.263938 | + | 0.999925i | ||||
\(56\) | −203334. | − | 625797.i | −1.15783 | − | 3.56344i | ||||
\(57\) | −3424.36 | − | 3424.36i | −0.0184908 | − | 0.0184908i | ||||
\(58\) | −197259. | − | 100508.i | −1.01100 | − | 0.515132i | ||||
\(59\) | 172654. | − | 237638.i | 0.840659 | − | 1.15707i | −0.145185 | − | 0.989405i | \(-0.546378\pi\) |
0.985844 | − | 0.167664i | \(-0.0536223\pi\) | |||||||
\(60\) | −75411.7 | − | 16323.3i | −0.349128 | − | 0.0755708i | ||||
\(61\) | 126105. | − | 91620.4i | 0.555574 | − | 0.403648i | −0.274263 | − | 0.961655i | \(-0.588434\pi\) |
0.829836 | + | 0.558007i | \(0.188434\pi\) | |||||||
\(62\) | 119554. | + | 754837.i | 0.501638 | + | 3.16722i | ||||
\(63\) | −313604. | + | 49669.9i | −1.25418 | + | 0.198642i | ||||
\(64\) | 296618. | + | 408260.i | 1.13151 | + | 1.55739i | ||||
\(65\) | 83821.0 | − | 387243.i | 0.305220 | − | 1.41008i | ||||
\(66\) | 63684.1 | + | 46269.2i | 0.221513 | + | 0.160938i | ||||
\(67\) | −14162.3 | + | 27795.1i | −0.0470879 | + | 0.0924152i | −0.913351 | − | 0.407172i | \(-0.866515\pi\) |
0.866264 | + | 0.499587i | \(0.166515\pi\) | |||||||
\(68\) | −135105. | + | 135105.i | −0.429680 | + | 0.429680i | ||||
\(69\) | 18572.1 | − | 6034.43i | 0.0565344 | − | 0.0183691i | ||||
\(70\) | 808090. | − | 213302.i | 2.35595 | − | 0.621871i | ||||
\(71\) | −183249. | + | 563982.i | −0.511995 | + | 1.57576i | 0.276688 | + | 0.960960i | \(0.410763\pi\) |
−0.788683 | + | 0.614800i | \(0.789237\pi\) | |||||||
\(72\) | 942798. | − | 480380.i | 2.52593 | − | 1.28703i | ||||
\(73\) | 73458.6 | − | 463799.i | 0.188831 | − | 1.19223i | −0.693095 | − | 0.720846i | \(-0.743753\pi\) |
0.881926 | − | 0.471388i | \(-0.156247\pi\) | |||||||
\(74\) | 646737.i | 1.59600i | ||||||||
\(75\) | 15797.0 | − | 57244.6i | 0.0374447 | − | 0.135691i | ||||
\(76\) | −206949. | −0.471436 | ||||||||
\(77\) | −604110. | − | 95681.7i | −1.32326 | − | 0.209583i | ||||
\(78\) | −82293.4 | − | 161510.i | −0.173413 | − | 0.340342i | ||||
\(79\) | −421357. | − | 136907.i | −0.854612 | − | 0.277680i | −0.151236 | − | 0.988498i | \(-0.548325\pi\) |
−0.703377 | + | 0.710817i | \(0.748325\pi\) | |||||||
\(80\) | −1.24922e6 | + | 804647.i | −2.43988 | + | 1.57158i | ||||
\(81\) | −154527. | − | 475585.i | −0.290770 | − | 0.894897i | ||||
\(82\) | 281899. | + | 281899.i | 0.511272 | + | 0.511272i | ||||
\(83\) | −385321. | − | 196331.i | −0.673890 | − | 0.343364i | 0.0833320 | − | 0.996522i | \(-0.473444\pi\) |
−0.757222 | + | 0.653158i | \(0.773444\pi\) | |||||||
\(84\) | 161219. | − | 221898.i | 0.272005 | − | 0.374383i | ||||
\(85\) | −97990.3 | − | 109648.i | −0.159561 | − | 0.178544i | ||||
\(86\) | −166201. | + | 120752.i | −0.261300 | + | 0.189845i | ||||
\(87\) | −8747.60 | − | 55230.2i | −0.0132841 | − | 0.0838723i | ||||
\(88\) | 2.01323e6 | − | 318864.i | 2.95423 | − | 0.467905i | ||||
\(89\) | −335950. | − | 462396.i | −0.476546 | − | 0.655910i | 0.501290 | − | 0.865279i | \(-0.332859\pi\) |
−0.977837 | + | 0.209370i | \(0.932859\pi\) | |||||||
\(90\) | 542070. | + | 1.22983e6i | 0.743580 | + | 1.68700i | ||||
\(91\) | 1.13946e6 | + | 827866.i | 1.51208 | + | 1.09859i | ||||
\(92\) | 378852. | − | 743539.i | 0.486526 | − | 0.954861i | ||||
\(93\) | −136496. | + | 136496.i | −0.169695 | + | 0.169695i | ||||
\(94\) | 33902.3 | − | 11015.5i | 0.0408174 | − | 0.0132624i | ||||
\(95\) | 8928.78 | − | 159027.i | 0.0104141 | − | 0.185481i | ||||
\(96\) | −98769.7 | + | 303982.i | −0.111637 | + | 0.343585i | ||||
\(97\) | −562743. | + | 286732.i | −0.616587 | + | 0.314167i | −0.734242 | − | 0.678888i | \(-0.762462\pi\) |
0.117655 | + | 0.993055i | \(0.462462\pi\) | |||||||
\(98\) | −187834. | + | 1.18594e6i | −0.199570 | + | 1.26004i | ||||
\(99\) | − | 983574.i | − | 1.01368i | ||||||
\(100\) | −1.25243e6 | − | 2.20711e6i | −1.25243 | − | 2.20711i | ||||
\(101\) | 1.06556e6 | 1.03422 | 0.517110 | − | 0.855919i | \(-0.327008\pi\) | ||||
0.517110 | + | 0.855919i | \(0.327008\pi\) | |||||||
\(102\) | −66449.0 | − | 10524.5i | −0.0626164 | − | 0.00991747i | ||||
\(103\) | −59911.7 | − | 117583.i | −0.0548277 | − | 0.107605i | 0.861967 | − | 0.506965i | \(-0.169233\pi\) |
−0.916794 | + | 0.399359i | \(0.869233\pi\) | |||||||
\(104\) | −4.46400e6 | − | 1.45044e6i | −3.96848 | − | 1.28944i | ||||
\(105\) | 163558. | + | 133460.i | 0.141288 | + | 0.115287i | ||||
\(106\) | 842103. | + | 2.59173e6i | 0.707046 | + | 2.17606i | ||||
\(107\) | 959629. | + | 959629.i | 0.783343 | + | 0.783343i | 0.980393 | − | 0.197051i | \(-0.0631363\pi\) |
−0.197051 | + | 0.980393i | \(0.563136\pi\) | |||||||
\(108\) | 793937. | + | 404531.i | 0.630253 | + | 0.321130i | ||||
\(109\) | 992290. | − | 1.36577e6i | 0.766230 | − | 1.05462i | −0.230440 | − | 0.973086i | \(-0.574017\pi\) |
0.996670 | − | 0.0815383i | \(-0.0259833\pi\) | |||||||
\(110\) | 261024. | + | 2.57581e6i | 0.196111 | + | 1.93524i | ||||
\(111\) | −132156. | + | 96016.9i | −0.0966313 | + | 0.0702067i | ||||
\(112\) | −826319. | − | 5.21717e6i | −0.588157 | − | 3.71348i | ||||
\(113\) | −2.50711e6 | + | 397087.i | −1.73755 | + | 0.275201i | −0.943193 | − | 0.332247i | \(-0.892193\pi\) |
−0.794360 | + | 0.607448i | \(0.792193\pi\) | |||||||
\(114\) | −42831.5 | − | 58952.5i | −0.0289101 | − | 0.0397913i | ||||
\(115\) | 555015. | + | 323202.i | 0.364931 | + | 0.212511i | ||||
\(116\) | −1.93323e6 | − | 1.40457e6i | −1.23854 | − | 0.899850i | ||||
\(117\) | −1.02825e6 | + | 2.01806e6i | −0.642010 | + | 1.26001i | ||||
\(118\) | 3.12531e6 | − | 3.12531e6i | 1.90216 | − | 1.90216i | ||||
\(119\) | 497162. | − | 161538.i | 0.295024 | − | 0.0958591i | ||||
\(120\) | −655828. | − | 254558.i | −0.379530 | − | 0.147314i | ||||
\(121\) | 38054.7 | − | 117120.i | 0.0214809 | − | 0.0661114i | ||||
\(122\) | 2.08980e6 | − | 1.06481e6i | 1.15087 | − | 0.586396i | ||||
\(123\) | −15752.2 | + | 99455.6i | −0.00846499 | + | 0.0534458i | ||||
\(124\) | 8.24903e6i | 4.32651i | ||||||||
\(125\) | 1.75005e6 | − | 867184.i | 0.896028 | − | 0.443998i | ||||
\(126\) | −4.77762e6 | −2.38836 | ||||||||
\(127\) | 281521. | + | 44588.5i | 0.137436 | + | 0.0217677i | 0.224773 | − | 0.974411i | \(-0.427836\pi\) |
−0.0873376 | + | 0.996179i | \(0.527836\pi\) | |||||||
\(128\) | 1.00376e6 | + | 1.96998e6i | 0.478629 | + | 0.939362i | ||||
\(129\) | −49349.6 | − | 16034.7i | −0.0229887 | − | 0.00746948i | ||||
\(130\) | 2.15725e6 | − | 5.55781e6i | 0.981906 | − | 2.52973i | ||||
\(131\) | 691574. | + | 2.12844e6i | 0.307627 | + | 0.946779i | 0.978684 | + | 0.205373i | \(0.0658407\pi\) |
−0.671057 | + | 0.741406i | \(0.734159\pi\) | |||||||
\(132\) | 600797. | + | 600797.i | 0.261220 | + | 0.261220i | ||||
\(133\) | 504486. | + | 257048.i | 0.214434 | + | 0.109260i | ||||
\(134\) | −275903. | + | 379748.i | −0.114668 | + | 0.157827i | ||||
\(135\) | −345110. | + | 592634.i | −0.140267 | + | 0.240872i | ||||
\(136\) | −1.40937e6 | + | 1.02397e6i | −0.560286 | + | 0.407072i | ||||
\(137\) | −372140. | − | 2.34960e6i | −0.144725 | − | 0.913760i | −0.948028 | − | 0.318188i | \(-0.896926\pi\) |
0.803302 | − | 0.595572i | \(-0.203074\pi\) | |||||||
\(138\) | 290218. | − | 45966.0i | 0.110430 | − | 0.0174904i | ||||
\(139\) | 787465. | + | 1.08385e6i | 0.293215 | + | 0.403576i | 0.930055 | − | 0.367420i | \(-0.119759\pi\) |
−0.636840 | + | 0.770996i | \(0.719759\pi\) | |||||||
\(140\) | 8.97504e6 | − | 909502.i | 3.27079 | − | 0.331451i | ||||
\(141\) | 7284.20 | + | 5292.28i | 0.00259851 | + | 0.00188793i | ||||
\(142\) | −4.05094e6 | + | 7.95042e6i | −1.41479 | + | 2.77667i | ||||
\(143\) | −3.08512e6 | + | 3.08512e6i | −1.05503 | + | 1.05503i | ||||
\(144\) | 8.07853e6 | − | 2.62487e6i | 2.70548 | − | 0.879065i | ||||
\(145\) | 1.16273e6 | − | 1.42496e6i | 0.381395 | − | 0.467410i | ||||
\(146\) | 2.18345e6 | − | 6.71996e6i | 0.701592 | − | 2.15928i | ||||
\(147\) | −270223. | + | 137686.i | −0.0850690 | + | 0.0433448i | ||||
\(148\) | −1.09202e6 | + | 6.89474e6i | −0.336857 | + | 2.12683i | ||||
\(149\) | − | 2.49519e6i | − | 0.754302i | −0.926152 | − | 0.377151i | \(-0.876904\pi\) | ||
0.926152 | − | 0.377151i | \(-0.123096\pi\) | |||||||
\(150\) | 369518. | − | 813572.i | 0.109487 | − | 0.241058i | ||||
\(151\) | 4.13237e6 | 1.20024 | 0.600120 | − | 0.799910i | \(-0.295119\pi\) | ||||
0.600120 | + | 0.799910i | \(0.295119\pi\) | |||||||
\(152\) | −1.86365e6 | − | 295173.i | −0.530682 | − | 0.0840517i | ||||
\(153\) | 381636. | + | 749003.i | 0.106555 | + | 0.209127i | ||||
\(154\) | −8.75292e6 | − | 2.84400e6i | −2.39657 | − | 0.778694i | ||||
\(155\) | −6.33883e6 | − | 355903.i | −1.70221 | − | 0.0955734i | ||||
\(156\) | −604603. | − | 1.86078e6i | −0.159256 | − | 0.490140i | ||||
\(157\) | −4.28440e6 | − | 4.28440e6i | −1.10711 | − | 1.10711i | −0.993528 | − | 0.113583i | \(-0.963767\pi\) |
−0.113583 | − | 0.993528i | \(-0.536233\pi\) | |||||||
\(158\) | −5.93985e6 | − | 3.02650e6i | −1.50593 | − | 0.767308i | ||||
\(159\) | −404578. | + | 556854.i | −0.100649 | + | 0.138532i | ||||
\(160\) | −9.61939e6 | + | 4.23993e6i | −2.34848 | + | 1.03514i | ||||
\(161\) | −1.84708e6 | + | 1.34198e6i | −0.442596 | + | 0.321565i | ||||
\(162\) | −1.17708e6 | − | 7.43177e6i | −0.276860 | − | 1.74802i | ||||
\(163\) | 7.40295e6 | − | 1.17251e6i | 1.70939 | − | 0.270741i | 0.776297 | − | 0.630367i | \(-0.217096\pi\) |
0.933097 | + | 0.359626i | \(0.117096\pi\) | |||||||
\(164\) | 2.52928e6 | + | 3.48125e6i | 0.573410 | + | 0.789231i | ||||
\(165\) | −487594. | + | 435751.i | −0.108544 | + | 0.0970034i | ||||
\(166\) | −5.26442e6 | − | 3.82482e6i | −1.15087 | − | 0.836156i | ||||
\(167\) | −202913. | + | 398240.i | −0.0435673 | + | 0.0855057i | −0.911764 | − | 0.410715i | \(-0.865279\pi\) |
0.868197 | + | 0.496220i | \(0.165279\pi\) | |||||||
\(168\) | 1.76833e6 | − | 1.76833e6i | 0.372937 | − | 0.372937i | ||||
\(169\) | 4.96461e6 | − | 1.61310e6i | 1.02855 | − | 0.334196i | ||||
\(170\) | −1.19821e6 | − | 1.86023e6i | −0.243886 | − | 0.378634i | ||||
\(171\) | −281359. | + | 865935.i | −0.0562695 | + | 0.173180i | ||||
\(172\) | −1.97573e6 | + | 1.00668e6i | −0.388277 | + | 0.197837i | ||||
\(173\) | −154225. | + | 973739.i | −0.0297863 | + | 0.188063i | −0.998095 | − | 0.0616922i | \(-0.980350\pi\) |
0.968309 | + | 0.249756i | \(0.0803503\pi\) | |||||||
\(174\) | − | 841409.i | − | 0.159720i | ||||||
\(175\) | 311665. | + | 6.93597e6i | 0.0581533 | + | 1.29417i | ||||
\(176\) | 1.63629e7 | 3.00140 | ||||||||
\(177\) | 1.10263e6 | + | 174639.i | 0.198842 | + | 0.0314935i | ||||
\(178\) | −3.90439e6 | − | 7.66280e6i | −0.692299 | − | 1.35871i | ||||
\(179\) | 124142. | + | 40336.1i | 0.0216450 | + | 0.00703290i | 0.319820 | − | 0.947478i | \(-0.396378\pi\) |
−0.298174 | + | 0.954511i | \(0.596378\pi\) | |||||||
\(180\) | 3.70233e6 | + | 1.40262e7i | 0.634830 | + | 2.40504i | ||||
\(181\) | −1.12023e6 | − | 3.44772e6i | −0.188917 | − | 0.581428i | 0.811077 | − | 0.584940i | \(-0.198882\pi\) |
−0.999994 | + | 0.00351243i | \(0.998882\pi\) | |||||||
\(182\) | 1.49857e7 | + | 1.49857e7i | 2.48578 | + | 2.48578i | ||||
\(183\) | 527844. | + | 268950.i | 0.0861296 | + | 0.0438852i | ||||
\(184\) | 4.47222e6 | − | 6.15548e6i | 0.717909 | − | 0.988117i | ||||
\(185\) | −5.25103e6 | − | 1.13662e6i | −0.829334 | − | 0.179514i | ||||
\(186\) | −2.34986e6 | + | 1.70727e6i | −0.365177 | + | 0.265317i | ||||
\(187\) | 253321. | + | 1.59940e6i | 0.0387388 | + | 0.244587i | ||||
\(188\) | 380025. | − | 60190.1i | 0.0571925 | − | 0.00905840i | ||||
\(189\) | −1.43294e6 | − | 1.97228e6i | −0.212248 | − | 0.292134i | ||||
\(190\) | 507026. | − | 2.34240e6i | 0.0739212 | − | 0.341507i | ||||
\(191\) | 2.00466e6 | + | 1.45647e6i | 0.287701 | + | 0.209027i | 0.722269 | − | 0.691612i | \(-0.243099\pi\) |
−0.434568 | + | 0.900639i | \(0.643099\pi\) | |||||||
\(192\) | −870718. | + | 1.70888e6i | −0.123020 | + | 0.241439i | ||||
\(193\) | −932416. | + | 932416.i | −0.129699 | + | 0.129699i | −0.768976 | − | 0.639277i | \(-0.779234\pi\) |
0.639277 | + | 0.768976i | \(0.279234\pi\) | |||||||
\(194\) | −9.03828e6 | + | 2.93671e6i | −1.23789 | + | 0.402213i | ||||
\(195\) | 1.45597e6 | − | 384314.i | 0.196358 | − | 0.0518302i | ||||
\(196\) | −4.00492e6 | + | 1.23259e7i | −0.531894 | + | 1.63700i | ||||
\(197\) | 4.47162e6 | − | 2.27841e6i | 0.584880 | − | 0.298011i | −0.136401 | − | 0.990654i | \(-0.543554\pi\) |
0.721281 | + | 0.692643i | \(0.243554\pi\) | |||||||
\(198\) | 2.31521e6 | − | 1.46176e7i | 0.298260 | − | 1.88314i | ||||
\(199\) | 7.25224e6i | 0.920265i | 0.887850 | + | 0.460133i | \(0.152198\pi\) | ||||
−0.887850 | + | 0.460133i | \(0.847802\pi\) | |||||||
\(200\) | −8.13057e6 | − | 2.16622e7i | −1.01632 | − | 2.70778i | ||||
\(201\) | −118560. | −0.0145999 | ||||||||
\(202\) | 1.58361e7 | + | 2.50819e6i | 1.92129 | + | 0.304303i | ||||
\(203\) | 2.96809e6 | + | 5.82520e6i | 0.354804 | + | 0.696343i | ||||
\(204\) | −690629. | − | 224399.i | −0.0813494 | − | 0.0264320i | ||||
\(205\) | −2.78424e6 | + | 1.79338e6i | −0.323180 | + | 0.208167i | ||||
\(206\) | −613617. | − | 1.88852e6i | −0.0701933 | − | 0.216033i | ||||
\(207\) | −2.59611e6 | − | 2.59611e6i | −0.292693 | − | 0.292693i | ||||
\(208\) | −3.35728e7 | − | 1.71062e7i | −3.73076 | − | 1.90092i | ||||
\(209\) | −1.03094e6 | + | 1.41897e6i | −0.112926 | + | 0.155429i | ||||
\(210\) | 2.11662e6 | + | 2.36844e6i | 0.228552 | + | 0.255744i | ||||
\(211\) | 3.09278e6 | − | 2.24703e6i | 0.329231 | − | 0.239201i | −0.410873 | − | 0.911693i | \(-0.634776\pi\) |
0.740104 | + | 0.672492i | \(0.234776\pi\) | |||||||
\(212\) | 4.60135e6 | + | 2.90518e7i | 0.482923 | + | 3.04905i | ||||
\(213\) | −2.22602e6 | + | 352568.i | −0.230352 | + | 0.0364841i | ||||
\(214\) | 1.20029e7 | + | 1.65206e7i | 1.22475 | + | 1.68572i | ||||
\(215\) | −688327. | − | 1.56165e6i | −0.0692595 | − | 0.157133i | ||||
\(216\) | 6.57271e6 | + | 4.77535e6i | 0.652203 | + | 0.473853i | ||||
\(217\) | 1.02460e7 | − | 2.01089e7i | 1.00271 | − | 1.96793i | ||||
\(218\) | 1.79620e7 | − | 1.79620e7i | 1.73375 | − | 1.73375i | ||||
\(219\) | 1.69734e6 | − | 551498.i | 0.161598 | − | 0.0525063i | ||||
\(220\) | −1.56654e6 | + | 2.79009e7i | −0.147120 | + | 2.62029i | ||||
\(221\) | 1.15230e6 | − | 3.54642e6i | 0.106755 | − | 0.328559i | ||||
\(222\) | −2.19008e6 | + | 1.11590e6i | −0.200171 | + | 0.101992i | ||||
\(223\) | −1.47586e6 | + | 9.31818e6i | −0.133085 | + | 0.840266i | 0.827335 | + | 0.561709i | \(0.189856\pi\) |
−0.960420 | + | 0.278557i | \(0.910144\pi\) | |||||||
\(224\) | − | 3.73693e7i | − | 3.32484i | ||||||
\(225\) | −1.09380e7 | + | 2.23983e6i | −0.960259 | + | 0.196638i | ||||
\(226\) | −3.81948e7 | −3.30886 | ||||||||
\(227\) | −1.31112e7 | − | 2.07662e6i | −1.12090 | − | 0.177533i | −0.431638 | − | 0.902047i | \(-0.642064\pi\) |
−0.689260 | + | 0.724514i | \(0.742064\pi\) | |||||||
\(228\) | −357076. | − | 700802.i | −0.0301271 | − | 0.0591277i | ||||
\(229\) | 2.74339e6 | + | 891380.i | 0.228444 | + | 0.0742261i | 0.421002 | − | 0.907060i | \(-0.361678\pi\) |
−0.192558 | + | 0.981286i | \(0.561678\pi\) | |||||||
\(230\) | 7.48772e6 | + | 6.10979e6i | 0.615412 | + | 0.502161i | ||||
\(231\) | −718340. | − | 2.21082e6i | −0.0582766 | − | 0.179357i | ||||
\(232\) | −1.54061e7 | − | 1.54061e7i | −1.23375 | − | 1.23375i | ||||
\(233\) | 1.69072e7 | + | 8.61465e6i | 1.33661 | + | 0.681035i | 0.968562 | − | 0.248772i | \(-0.0800271\pi\) |
0.368045 | + | 0.929808i | \(0.380027\pi\) | |||||||
\(234\) | −2.00319e7 | + | 2.75715e7i | −1.56341 | + | 2.15185i | ||||
\(235\) | 29856.0 | + | 294621.i | 0.00230053 | + | 0.0227018i | ||||
\(236\) | 3.85954e7 | − | 2.80412e7i | 2.93629 | − | 2.13334i | ||||
\(237\) | −263407. | − | 1.66309e6i | −0.0197871 | − | 0.124931i | ||||
\(238\) | 7.76895e6 | − | 1.23048e6i | 0.576277 | − | 0.0912734i | ||||
\(239\) | −4.55403e6 | − | 6.26809e6i | −0.333582 | − | 0.459136i | 0.608971 | − | 0.793192i | \(-0.291582\pi\) |
−0.942553 | + | 0.334056i | \(0.891582\pi\) | |||||||
\(240\) | −4.88026e6 | − | 2.84193e6i | −0.353028 | − | 0.205579i | ||||
\(241\) | 8.74556e6 | + | 6.35402e6i | 0.624794 | + | 0.453939i | 0.854593 | − | 0.519299i | \(-0.173807\pi\) |
−0.229799 | + | 0.973238i | \(0.573807\pi\) | |||||||
\(242\) | 841247. | − | 1.65104e6i | 0.0593578 | − | 0.116496i | ||||
\(243\) | 4.17199e6 | − | 4.17199e6i | 0.290753 | − | 0.290753i | ||||
\(244\) | 2.40769e7 | − | 7.82305e6i | 1.65741 | − | 0.538526i | ||||
\(245\) | −9.29882e6 | − | 3.60931e6i | −0.632309 | − | 0.245429i | ||||
\(246\) | −468211. | + | 1.44101e6i | −0.0314512 | + | 0.0967967i | ||||
\(247\) | 3.59865e6 | − | 1.83361e6i | 0.238808 | − | 0.121679i | ||||
\(248\) | −1.17657e7 | + | 7.42856e7i | −0.771369 | + | 4.87023i | ||||
\(249\) | − | 1.64359e6i | − | 0.106462i | ||||||
\(250\) | 2.80501e7 | − | 8.76848e6i | 1.79521 | − | 0.561182i | ||||
\(251\) | −1.50115e7 | −0.949301 | −0.474651 | − | 0.880174i | \(-0.657426\pi\) | ||||
−0.474651 | + | 0.880174i | \(0.657426\pi\) | |||||||
\(252\) | −5.09332e7 | − | 8.06703e6i | −3.18273 | − | 0.504094i | ||||
\(253\) | −3.21085e6 | − | 6.30166e6i | −0.198271 | − | 0.389129i | ||||
\(254\) | 4.07894e6 | + | 1.32533e6i | 0.248912 | + | 0.0808765i | ||||
\(255\) | 202233. | − | 521021.i | 0.0121964 | − | 0.0314221i | ||||
\(256\) | 300249. | + | 924071.i | 0.0178962 | + | 0.0550789i | ||||
\(257\) | −8.07992e6 | − | 8.07992e6i | −0.476001 | − | 0.476001i | 0.427849 | − | 0.903850i | \(-0.359271\pi\) |
−0.903850 | + | 0.427849i | \(0.859271\pi\) | |||||||
\(258\) | −695678. | − | 354466.i | −0.0405088 | − | 0.0206403i | ||||
\(259\) | 1.12259e7 | − | 1.54511e7i | 0.646133 | − | 0.889326i | ||||
\(260\) | 3.23824e7 | − | 5.56081e7i | 1.84242 | − | 3.16387i | ||||
\(261\) | −8.50548e6 | + | 6.17959e6i | −0.478385 | + | 0.347567i | ||||
\(262\) | 5.26792e6 | + | 3.32603e7i | 0.292911 | + | 1.84936i | ||||
\(263\) | −1.63977e7 | + | 2.59714e6i | −0.901394 | + | 0.142767i | −0.589895 | − | 0.807480i | \(-0.700831\pi\) |
−0.311499 | + | 0.950246i | \(0.600831\pi\) | |||||||
\(264\) | 4.55348e6 | + | 6.26732e6i | 0.247475 | + | 0.340620i | ||||
\(265\) | −2.25229e7 | + | 2.28240e6i | −1.21028 | + | 0.122646i | ||||
\(266\) | 6.89249e6 | + | 5.00769e6i | 0.366211 | + | 0.266068i | ||||
\(267\) | 986176. | − | 1.93548e6i | 0.0518108 | − | 0.101685i | ||||
\(268\) | −3.58255e6 | + | 3.58255e6i | −0.186118 | + | 0.186118i | ||||
\(269\) | −2.22907e7 | + | 7.24269e6i | −1.14516 | + | 0.372086i | −0.819319 | − | 0.573338i | \(-0.805648\pi\) |
−0.325843 | + | 0.945424i | \(0.605648\pi\) | |||||||
\(270\) | −6.52392e6 | + | 7.99525e6i | −0.331450 | + | 0.406201i | ||||
\(271\) | 9.20466e6 | − | 2.83290e7i | 0.462487 | − | 1.42339i | −0.399628 | − | 0.916678i | \(-0.630861\pi\) |
0.862115 | − | 0.506712i | \(-0.169139\pi\) | |||||||
\(272\) | −1.24606e7 | + | 6.34898e6i | −0.619200 | + | 0.315498i | ||||
\(273\) | −837385. | + | 5.28704e6i | −0.0411564 | + | 0.259851i | ||||
\(274\) | − | 3.57951e7i | − | 1.74009i | ||||||
\(275\) | −2.13724e7 | − | 2.40756e6i | −1.02767 | − | 0.115765i | ||||
\(276\) | 3.17157e6 | 0.150851 | ||||||||
\(277\) | 1.16461e7 | + | 1.84456e6i | 0.547950 | + | 0.0867867i | 0.424270 | − | 0.905536i | \(-0.360531\pi\) |
0.123679 | + | 0.992322i | \(0.460531\pi\) | |||||||
\(278\) | 9.15187e6 | + | 1.79616e7i | 0.425966 | + | 0.836006i | ||||
\(279\) | 3.45164e7 | + | 1.12150e7i | 1.58932 | + | 0.516403i | ||||
\(280\) | 8.21208e7 | + | 4.61080e6i | 3.74093 | + | 0.210040i | ||||
\(281\) | −3.15846e6 | − | 9.72073e6i | −0.142349 | − | 0.438107i | 0.854311 | − | 0.519762i | \(-0.173979\pi\) |
−0.996661 | + | 0.0816553i | \(0.973979\pi\) | |||||||
\(282\) | 95798.7 | + | 95798.7i | 0.00427181 | + | 0.00427181i | ||||
\(283\) | 7.44989e6 | + | 3.79591e6i | 0.328693 | + | 0.167478i | 0.610547 | − | 0.791980i | \(-0.290949\pi\) |
−0.281854 | + | 0.959457i | \(0.590949\pi\) | |||||||
\(284\) | −5.66106e7 | + | 7.79177e7i | −2.47140 | + | 3.40159i | ||||
\(285\) | 553926. | − | 244154.i | 0.0239286 | − | 0.0105470i | ||||
\(286\) | −5.31124e7 | + | 3.85884e7i | −2.27037 | + | 1.64952i | ||||
\(287\) | −1.84168e6 | − | 1.16279e7i | −0.0779058 | − | 0.491878i | ||||
\(288\) | 5.93534e7 | − | 9.40066e6i | 2.48467 | − | 0.393533i | ||||
\(289\) | 1.33742e7 | + | 1.84080e7i | 0.554083 | + | 0.762630i | ||||
\(290\) | 2.06344e7 | − | 1.84405e7i | 0.846053 | − | 0.756098i | ||||
\(291\) | −1.94195e6 | − | 1.41091e6i | −0.0788059 | − | 0.0572559i | ||||
\(292\) | 3.46240e7 | − | 6.79534e7i | 1.39068 | − | 2.72937i | ||||
\(293\) | 1.77932e7 | − | 1.77932e7i | 0.707377 | − | 0.707377i | −0.258606 | − | 0.965983i | \(-0.583263\pi\) |
0.965983 | + | 0.258606i | \(0.0832630\pi\) | |||||||
\(294\) | −4.34009e6 | + | 1.41018e6i | −0.170788 | + | 0.0554923i | ||||
\(295\) | 1.98826e7 | + | 3.08678e7i | 0.774474 | + | 1.20237i | ||||
\(296\) | −1.96681e7 | + | 6.05321e7i | −0.758380 | + | 2.33405i | ||||
\(297\) | 6.72879e6 | − | 3.42849e6i | 0.256843 | − | 0.130868i | ||||
\(298\) | 5.87336e6 | − | 3.70830e7i | 0.221941 | − | 1.40128i | ||||
\(299\) | 1.62862e7i | 0.609264i | ||||||||
\(300\) | 5.31307e6 | − | 8.04939e6i | 0.196780 | − | 0.298126i | ||||
\(301\) | 6.06668e6 | 0.222460 | ||||||||
\(302\) | 6.14143e7 | + | 9.72707e6i | 2.22971 | + | 0.353151i | ||||
\(303\) | 1.83855e6 | + | 3.60836e6i | 0.0660918 | + | 0.129712i | ||||
\(304\) | −1.44059e7 | − | 4.68075e6i | −0.512765 | − | 0.166608i | ||||
\(305\) | 4.97270e6 | + | 1.88390e7i | 0.175264 | + | 0.663985i | ||||
\(306\) | 3.90873e6 | + | 1.20298e7i | 0.136418 | + | 0.419851i | ||||
\(307\) | 4.19973e6 | + | 4.19973e6i | 0.145147 | + | 0.145147i | 0.775946 | − | 0.630799i | \(-0.217273\pi\) |
−0.630799 | + | 0.775946i | \(0.717273\pi\) | |||||||
\(308\) | −8.85110e7 | − | 4.50986e7i | −3.02932 | − | 1.54352i | ||||
\(309\) | 294805. | − | 405764.i | 0.00999216 | − | 0.0137530i | ||||
\(310\) | −9.33685e7 | − | 2.02102e7i | −3.13412 | − | 0.678398i | ||||
\(311\) | 2.30031e6 | − | 1.67127e6i | 0.0764725 | − | 0.0555605i | −0.548892 | − | 0.835893i | \(-0.684950\pi\) |
0.625365 | + | 0.780333i | \(0.284950\pi\) | |||||||
\(312\) | −2.79063e6 | − | 1.76193e7i | −0.0918836 | − | 0.580130i | ||||
\(313\) | −1.81946e7 | + | 2.88174e6i | −0.593348 | + | 0.0939771i | −0.445885 | − | 0.895090i | \(-0.647111\pi\) |
−0.147463 | + | 0.989068i | \(0.547111\pi\) | |||||||
\(314\) | −5.35889e7 | − | 7.37587e7i | −1.73095 | − | 2.38245i | ||||
\(315\) | 8.39648e6 | − | 3.87907e7i | 0.268637 | − | 1.24107i | ||||
\(316\) | −5.82132e7 | − | 4.22944e7i | −1.84485 | − | 1.34036i | ||||
\(317\) | −2.07121e7 | + | 4.06497e7i | −0.650198 | + | 1.27609i | 0.296828 | + | 0.954931i | \(0.404071\pi\) |
−0.947027 | + | 0.321155i | \(0.895929\pi\) | |||||||
\(318\) | −7.32351e6 | + | 7.32351e6i | −0.227739 | + | 0.227739i | ||||
\(319\) | −1.92612e7 | + | 6.25834e6i | −0.593350 | + | 0.192791i | ||||
\(320\) | −6.09907e7 | + | 1.60990e7i | −1.86129 | + | 0.491302i | ||||
\(321\) | −1.59387e6 | + | 4.90542e6i | −0.0481878 | + | 0.148307i | ||||
\(322\) | −3.06097e7 | + | 1.55964e7i | −0.916835 | + | 0.467151i | ||||
\(323\) | 234500. | − | 1.48057e6i | 0.00695881 | − | 0.0439362i | ||||
\(324\) | − | 8.12160e7i | − | 2.38785i | ||||||
\(325\) | 4.13340e7 | + | 2.72829e7i | 1.20409 | + | 0.794768i | ||||
\(326\) | 1.12781e8 | 3.25524 | ||||||||
\(327\) | 6.33711e6 | + | 1.00370e6i | 0.181237 | + | 0.0287052i | ||||
\(328\) | 1.78117e7 | + | 3.49575e7i | 0.504760 | + | 0.990647i | ||||
\(329\) | −1.00116e6 | − | 325297.i | −0.0281136 | − | 0.00913466i | ||||
\(330\) | −8.27221e6 | + | 5.32830e6i | −0.230186 | + | 0.148268i | ||||
\(331\) | 1.90206e7 | + | 5.85393e7i | 0.524493 | + | 1.61422i | 0.765316 | + | 0.643655i | \(0.222583\pi\) |
−0.240823 | + | 0.970569i | \(0.577417\pi\) | |||||||
\(332\) | −4.96646e7 | − | 4.96646e7i | −1.35717 | − | 1.35717i | ||||
\(333\) | 2.73649e7 | + | 1.39431e7i | 0.741074 | + | 0.377596i | ||||
\(334\) | −3.95305e6 | + | 5.44091e6i | −0.106095 | + | 0.146027i | ||||
\(335\) | −2.59838e6 | − | 2.90752e6i | −0.0691144 | − | 0.0773372i | ||||
\(336\) | 1.62414e7 | − | 1.18001e7i | 0.428160 | − | 0.311077i | ||||
\(337\) | 498494. | + | 3.14737e6i | 0.0130248 | + | 0.0822352i | 0.993344 | − | 0.115181i | \(-0.0367449\pi\) |
−0.980320 | + | 0.197416i | \(0.936745\pi\) | |||||||
\(338\) | 7.75800e7 | − | 1.22875e7i | 2.00909 | − | 0.318209i | ||||
\(339\) | −5.67053e6 | − | 7.80481e6i | −0.145554 | − | 0.200338i | ||||
\(340\) | −9.63287e6 | − | 2.18547e7i | −0.245086 | − | 0.556042i | ||||
\(341\) | 5.65603e7 | + | 4.10935e7i | 1.42642 | + | 1.03636i | ||||
\(342\) | −6.21980e6 | + | 1.22070e7i | −0.155488 | + | 0.305163i | ||||
\(343\) | −1.18930e7 | + | 1.18930e7i | −0.294719 | + | 0.294719i | ||||
\(344\) | −1.92280e7 | + | 6.24755e6i | −0.472344 | + | 0.153474i | ||||
\(345\) | −136837. | + | 2.43714e6i | −0.00333231 | + | 0.0593503i | ||||
\(346\) | −4.58412e6 | + | 1.41085e7i | −0.110669 | + | 0.340605i | ||||
\(347\) | −1.13754e7 | + | 5.79607e6i | −0.272257 | + | 0.138722i | −0.584789 | − | 0.811185i | \(-0.698823\pi\) |
0.312532 | + | 0.949907i | \(0.398823\pi\) | |||||||
\(348\) | 1.42072e6 | − | 8.97009e6i | 0.0337110 | − | 0.212843i | ||||
\(349\) | − | 6.90705e7i | − | 1.62486i | −0.583057 | − | 0.812431i | \(-0.698144\pi\) | ||
0.583057 | − | 0.812431i | \(-0.301856\pi\) | |||||||
\(350\) | −1.16945e7 | + | 1.03814e8i | −0.272758 | + | 2.42133i | ||||
\(351\) | −1.73901e7 | −0.402142 | ||||||||
\(352\) | 1.14336e8 | + | 1.81090e7i | 2.62152 | + | 0.415208i | ||||
\(353\) | −1.04162e7 | − | 2.04429e7i | −0.236801 | − | 0.464749i | 0.741771 | − | 0.670654i | \(-0.233986\pi\) |
−0.978572 | + | 0.205905i | \(0.933986\pi\) | |||||||
\(354\) | 1.59759e7 | + | 5.19089e6i | 0.360127 | + | 0.117012i | ||||
\(355\) | −5.74322e7 | − | 4.68632e7i | −1.28372 | − | 1.04748i | ||||
\(356\) | −2.86853e7 | − | 8.82842e7i | −0.635783 | − | 1.95674i | ||||
\(357\) | 1.40484e6 | + | 1.40484e6i | 0.0308762 | + | 0.0308762i | ||||
\(358\) | 1.75002e6 | + | 891678.i | 0.0381411 | + | 0.0194339i | ||||
\(359\) | 1.52212e7 | − | 2.09502e7i | 0.328976 | − | 0.452797i | −0.612205 | − | 0.790699i | \(-0.709717\pi\) |
0.941181 | + | 0.337902i | \(0.109717\pi\) | |||||||
\(360\) | 1.33351e7 | + | 1.31592e8i | 0.285818 | + | 2.82047i | ||||
\(361\) | −3.67474e7 | + | 2.66985e7i | −0.781097 | + | 0.567500i | ||||
\(362\) | −8.53312e6 | − | 5.38760e7i | −0.179880 | − | 1.13572i | ||||
\(363\) | 462272. | − | 73216.7i | 0.00966446 | − | 0.00153070i | ||||
\(364\) | 1.34456e8 | + | 1.85063e8i | 2.78789 | + | 3.83720i | ||||
\(365\) | 5.07238e7 | + | 2.95381e7i | 1.04312 | + | 0.607440i | ||||
\(366\) | 7.21162e6 | + | 5.23955e6i | 0.147092 | + | 0.106869i | ||||
\(367\) | −5.24664e6 | + | 1.02971e7i | −0.106141 | + | 0.208314i | −0.937968 | − | 0.346721i | \(-0.887295\pi\) |
0.831827 | + | 0.555035i | \(0.187295\pi\) | |||||||
\(368\) | 4.31894e7 | − | 4.31894e7i | 0.866631 | − | 0.866631i | ||||
\(369\) | 1.80053e7 | − | 5.85027e6i | 0.358361 | − | 0.116439i | ||||
\(370\) | −7.53642e7 | − | 2.92524e7i | −1.48785 | − | 0.577505i | ||||
\(371\) | 2.48679e7 | − | 7.65357e7i | 0.486988 | − | 1.49879i | ||||
\(372\) | −2.79341e7 | + | 1.42331e7i | −0.542633 | + | 0.276485i | ||||
\(373\) | −5.96415e6 | + | 3.76561e7i | −0.114927 | + | 0.725620i | 0.861175 | + | 0.508308i | \(0.169729\pi\) |
−0.976102 | + | 0.217312i | \(0.930271\pi\) | |||||||
\(374\) | 2.43662e7i | 0.465772i | ||||||||
\(375\) | 5.95619e6 | + | 4.43003e6i | 0.112947 | + | 0.0840066i | ||||
\(376\) | 3.50812e6 | 0.0659950 | ||||||||
\(377\) | 4.60619e7 | + | 7.29548e6i | 0.859642 | + | 0.136154i | ||||
\(378\) | −1.66536e7 | − | 3.26845e7i | −0.308341 | − | 0.605154i | ||||
\(379\) | −6.87967e7 | − | 2.23534e7i | −1.26372 | − | 0.410607i | −0.400900 | − | 0.916122i | \(-0.631303\pi\) |
−0.862818 | + | 0.505515i | \(0.831303\pi\) | |||||||
\(380\) | 9.36044e6 | − | 2.41157e7i | 0.170587 | − | 0.439490i | ||||
\(381\) | 334753. | + | 1.03026e6i | 0.00605270 | + | 0.0186283i | ||||
\(382\) | 2.63645e7 | + | 2.63645e7i | 0.472965 | + | 0.472965i | ||||
\(383\) | −6.02266e7 | − | 3.06870e7i | −1.07199 | − | 0.546208i | −0.173337 | − | 0.984863i | \(-0.555455\pi\) |
−0.898656 | + | 0.438655i | \(0.855455\pi\) | |||||||
\(384\) | −4.93915e6 | + | 6.79815e6i | −0.0872285 | + | 0.120060i | ||||
\(385\) | 3.84741e7 | − | 6.60691e7i | 0.674196 | − | 1.15775i | ||||
\(386\) | −1.60521e7 | + | 1.16626e7i | −0.279107 | + | 0.202783i | ||||
\(387\) | 1.52614e6 | + | 9.63567e6i | 0.0263306 | + | 0.166245i | ||||
\(388\) | −1.01314e8 | + | 1.60465e7i | −1.73450 | + | 0.274717i | ||||
\(389\) | −2.31310e7 | − | 3.18371e7i | −0.392958 | − | 0.540860i | 0.566001 | − | 0.824404i | \(-0.308490\pi\) |
−0.958959 | + | 0.283544i | \(0.908490\pi\) | |||||||
\(390\) | 2.25429e7 | − | 2.28442e6i | 0.380028 | − | 0.0385108i | ||||
\(391\) | 4.89021e6 | + | 3.55294e6i | 0.0818082 | + | 0.0594371i | ||||
\(392\) | −5.36463e7 | + | 1.05287e8i | −0.890597 | + | 1.74790i | ||||
\(393\) | −6.01440e6 | + | 6.01440e6i | −0.0990866 | + | 0.0990866i | ||||
\(394\) | 7.18193e7 | − | 2.33355e7i | 1.17423 | − | 0.381530i | ||||
\(395\) | 3.50120e7 | − | 4.29082e7i | 0.568102 | − | 0.696225i | ||||
\(396\) | 4.93639e7 | − | 1.51927e8i | 0.794921 | − | 2.44652i | ||||
\(397\) | −9.82853e7 | + | 5.00789e7i | −1.57079 | + | 0.800355i | −0.999788 | − | 0.0205960i | \(-0.993444\pi\) |
−0.570998 | + | 0.820951i | \(0.693444\pi\) | |||||||
\(398\) | −1.70708e7 | + | 1.07781e8i | −0.270773 | + | 1.70960i | ||||
\(399\) | 2.15189e6i | 0.0338767i | ||||||||
\(400\) | −3.72623e7 | − | 1.81966e8i | −0.582224 | − | 2.84322i | ||||
\(401\) | −1.04939e8 | −1.62744 | −0.813718 | − | 0.581260i | \(-0.802560\pi\) | ||||
−0.813718 | + | 0.581260i | \(0.802560\pi\) | |||||||
\(402\) | −1.76201e6 | − | 279075.i | −0.0271225 | − | 0.00429579i | ||||
\(403\) | −7.30880e7 | − | 1.43443e8i | −1.11669 | − | 2.19162i | ||||
\(404\) | 1.64590e8 | + | 5.34786e7i | 2.49609 | + | 0.811027i | ||||
\(405\) | 6.24091e7 | + | 3.50405e6i | 0.939471 | + | 0.0527480i | ||||
\(406\) | 3.03993e7 | + | 9.35593e7i | 0.454240 | + | 1.39801i | ||||
\(407\) | 4.18344e7 | + | 4.18344e7i | 0.620513 | + | 0.620513i | ||||
\(408\) | −5.89931e6 | − | 3.00585e6i | −0.0868601 | − | 0.0442575i | ||||
\(409\) | −5.18020e7 | + | 7.12994e7i | −0.757141 | + | 1.04212i | 0.240305 | + | 0.970697i | \(0.422753\pi\) |
−0.997446 | + | 0.0714182i | \(0.977247\pi\) | |||||||
\(410\) | −4.56001e7 | + | 2.00991e7i | −0.661628 | + | 0.291625i | ||||
\(411\) | 7.31447e6 | − | 5.31427e6i | 0.105356 | − | 0.0765453i | ||||
\(412\) | −3.35288e6 | − | 2.11692e7i | −0.0479431 | − | 0.302701i | ||||
\(413\) | −1.28915e8 | + | 2.04181e7i | −1.83000 | + | 0.289844i | ||||
\(414\) | −3.24719e7 | − | 4.46937e7i | −0.457622 | − | 0.629862i | ||||
\(415\) | 4.03068e7 | − | 3.60212e7i | 0.563941 | − | 0.503981i | ||||
\(416\) | −2.15657e8 | − | 1.56684e8i | −2.99560 | − | 2.17643i | ||||
\(417\) | −2.31159e6 | + | 4.53675e6i | −0.0318788 | + | 0.0625657i | ||||
\(418\) | −1.86616e7 | + | 1.86616e7i | −0.255518 | + | 0.255518i | ||||
\(419\) | 4.82860e7 | − | 1.56891e7i | 0.656415 | − | 0.213282i | 0.0381747 | − | 0.999271i | \(-0.487846\pi\) |
0.618241 | + | 0.785989i | \(0.287846\pi\) | |||||||
\(420\) | 1.85657e7 | + | 2.88234e7i | 0.250590 | + | 0.389043i | ||||
\(421\) | 1.70260e7 | − | 5.24005e7i | 0.228174 | − | 0.702246i | −0.769780 | − | 0.638309i | \(-0.779634\pi\) |
0.997954 | − | 0.0639371i | \(-0.0203657\pi\) | |||||||
\(422\) | 5.12533e7 | − | 2.61149e7i | 0.682001 | − | 0.347497i | ||||
\(423\) | 264814. | − | 1.67197e6i | 0.00349881 | − | 0.0220906i | ||||
\(424\) | 2.68185e8i | 3.51833i | ||||||||
\(425\) | 1.72095e7 | − | 6.45931e6i | 0.224182 | − | 0.0841432i | ||||
\(426\) | −3.39125e7 | −0.438664 | ||||||||
\(427\) | −6.84098e7 | − | 1.08350e7i | −0.878688 | − | 0.139171i | ||||
\(428\) | 1.00066e8 | + | 1.96390e8i | 1.27630 | + | 2.50489i | ||||
\(429\) | −1.57705e7 | − | 5.12414e6i | −0.199744 | − | 0.0649007i | ||||
\(430\) | −6.55383e6 | − | 2.48291e7i | −0.0824308 | − | 0.312288i | ||||
\(431\) | 9.85616e6 | + | 3.03341e7i | 0.123105 | + | 0.378878i | 0.993551 | − | 0.113385i | \(-0.0361695\pi\) |
−0.870446 | + | 0.492264i | \(0.836169\pi\) | |||||||
\(432\) | 4.61169e7 | + | 4.61169e7i | 0.572017 | + | 0.572017i | ||||
\(433\) | 1.14222e8 | + | 5.81991e7i | 1.40698 | + | 0.716890i | 0.982100 | − | 0.188362i | \(-0.0603177\pi\) |
0.424876 | + | 0.905252i | \(0.360318\pi\) | |||||||
\(434\) | 1.99608e8 | − | 2.74736e8i | 2.44179 | − | 3.36083i | ||||
\(435\) | 6.83162e6 | + | 1.47874e6i | 0.0829958 | + | 0.0179649i | ||||
\(436\) | 2.21818e8 | − | 1.61161e8i | 2.67632 | − | 1.94446i | ||||
\(437\) | 1.02418e6 | + | 6.46644e6i | 0.0122725 | + | 0.0774856i | ||||
\(438\) | 2.65236e7 | − | 4.20092e6i | 0.315653 | − | 0.0499945i | ||||
\(439\) | 8.08799e6 | + | 1.11322e7i | 0.0955976 | + | 0.131579i | 0.854136 | − | 0.520049i | \(-0.174086\pi\) |
−0.758539 | + | 0.651628i | \(0.774086\pi\) | |||||||
\(440\) | −5.39026e7 | + | 2.49023e8i | −0.632778 | + | 2.92336i | ||||
\(441\) | 4.61301e7 | + | 3.35155e7i | 0.537859 | + | 0.390778i | ||||
\(442\) | 2.54730e7 | − | 4.99936e7i | 0.294994 | − | 0.578959i | ||||
\(443\) | 1.06518e8 | − | 1.06518e8i | 1.22522 | − | 1.22522i | 0.259462 | − | 0.965753i | \(-0.416455\pi\) |
0.965753 | − | 0.259462i | \(-0.0835452\pi\) | |||||||
\(444\) | −2.52322e7 | + | 8.19844e6i | −0.288275 | + | 0.0936661i | ||||
\(445\) | 6.90781e7 | − | 1.82337e7i | 0.783900 | − | 0.206917i | ||||
\(446\) | −4.38676e7 | + | 1.35011e8i | −0.494469 | + | 1.52182i | ||||
\(447\) | 8.44960e6 | − | 4.30529e6i | 0.0946049 | − | 0.0482036i | ||||
\(448\) | 3.50782e7 | − | 2.21475e8i | 0.390124 | − | 2.46315i | ||||
\(449\) | 3.76443e7i | 0.415872i | 0.978142 | + | 0.207936i | \(0.0666746\pi\) | ||||
−0.978142 | + | 0.207936i | \(0.933325\pi\) | |||||||
\(450\) | −1.67830e8 | + | 7.54136e6i | −1.84175 | + | 0.0827584i | ||||
\(451\) | 3.64694e7 | 0.397557 | ||||||||
\(452\) | −4.07186e8 | − | 6.44920e7i | −4.40938 | − | 0.698378i | ||||
\(453\) | 7.13012e6 | + | 1.39937e7i | 0.0767013 | + | 0.150535i | ||||
\(454\) | −1.89968e8 | − | 6.17243e7i | −2.03008 | − | 0.659613i | ||||
\(455\) | −1.48010e8 | + | 9.53360e7i | −1.57129 | + | 1.01210i | ||||
\(456\) | −2.21604e6 | − | 6.82028e6i | −0.0233714 | − | 0.0719297i | ||||
\(457\) | −5.49553e7 | − | 5.49553e7i | −0.575786 | − | 0.575786i | 0.357953 | − | 0.933740i | \(-0.383475\pi\) |
−0.933740 | + | 0.357953i | \(0.883475\pi\) | |||||||
\(458\) | 3.86734e7 | + | 1.97051e7i | 0.402546 | + | 0.205107i | ||||
\(459\) | −3.79377e6 | + | 5.22167e6i | −0.0392313 | + | 0.0539972i | ||||
\(460\) | 6.95086e7 | + | 7.77783e7i | 0.714110 | + | 0.799070i | ||||
\(461\) | −1.29105e8 | + | 9.38003e7i | −1.31777 | + | 0.957418i | −0.317816 | + | 0.948153i | \(0.602949\pi\) |
−0.999957 | + | 0.00926543i | \(0.997051\pi\) | |||||||
\(462\) | −5.47180e6 | − | 3.45476e7i | −0.0554887 | − | 0.350342i | ||||
\(463\) | 6.10394e7 | − | 9.66768e6i | 0.614988 | − | 0.0974046i | 0.158834 | − | 0.987305i | \(-0.449227\pi\) |
0.456154 | + | 0.889901i | \(0.349227\pi\) | |||||||
\(464\) | −1.02805e8 | − | 1.41499e8i | −1.02911 | − | 1.41644i | ||||
\(465\) | −9.73202e6 | − | 2.20796e7i | −0.0967930 | − | 0.219600i | ||||
\(466\) | 2.30993e8 | + | 1.67826e8i | 2.28266 | + | 1.65845i | ||||
\(467\) | −7.56598e6 | + | 1.48491e7i | −0.0742873 | + | 0.145797i | −0.925163 | − | 0.379570i | \(-0.876072\pi\) |
0.850876 | + | 0.525367i | \(0.176072\pi\) | |||||||
\(468\) | −2.60110e8 | + | 2.60110e8i | −2.53758 | + | 2.53758i | ||||
\(469\) | 1.31831e7 | − | 4.28346e6i | 0.127791 | − | 0.0415218i | ||||
\(470\) | −249788. | + | 4.44887e6i | −0.00240591 | + | 0.0428505i | ||||
\(471\) | 7.11605e6 | − | 2.19010e7i | 0.0681046 | − | 0.209604i | ||||
\(472\) | 3.87561e8 | − | 1.97472e8i | 3.68565 | − | 1.87793i | ||||
\(473\) | −2.93988e6 | + | 1.85617e7i | −0.0277809 | + | 0.175402i | ||||
\(474\) | − | 2.53365e7i | − | 0.237909i | ||||||
\(475\) | 1.81275e7 | + | 8.23335e6i | 0.169144 | + | 0.0768238i | ||||
\(476\) | 8.49009e7 | 0.787211 | ||||||||
\(477\) | 1.27817e8 | + | 2.02442e7i | 1.17770 | + | 0.186529i | ||||
\(478\) | −5.29267e7 | − | 1.03874e8i | −0.484609 | − | 0.951098i | ||||
\(479\) | −6.56180e7 | − | 2.13206e7i | −0.597058 | − | 0.193996i | −0.00512998 | − | 0.999987i | \(-0.501633\pi\) |
−0.591928 | + | 0.805991i | \(0.701633\pi\) | |||||||
\(480\) | −3.09555e7 | − | 2.52589e7i | −0.279907 | − | 0.228397i | ||||
\(481\) | −4.20994e7 | − | 1.29569e8i | −0.378304 | − | 1.16430i | ||||
\(482\) | 1.15018e8 | + | 1.15018e8i | 1.02713 | + | 1.02713i | ||||
\(483\) | −7.73143e6 | − | 3.93936e6i | −0.0686149 | − | 0.0349610i | ||||
\(484\) | 1.17562e7 | − | 1.61810e7i | 0.103688 | − | 0.142714i | ||||
\(485\) | −7.95953e6 | − | 7.85453e7i | −0.0697690 | − | 0.688486i | ||||
\(486\) | 7.18235e7 | − | 5.21828e7i | 0.625688 | − | 0.454589i | ||||
\(487\) | 3.24782e7 | + | 2.05060e8i | 0.281194 | + | 1.77539i | 0.573642 | + | 0.819106i | \(0.305530\pi\) |
−0.292448 | + | 0.956281i | \(0.594470\pi\) | |||||||
\(488\) | 2.27979e8 | − | 3.61084e7i | 1.96171 | − | 0.310705i | ||||
\(489\) | 1.67438e7 | + | 2.30459e7i | 0.143195 | + | 0.197091i | ||||
\(490\) | −1.29701e8 | − | 7.55289e7i | −1.10244 | − | 0.641985i | ||||
\(491\) | 7.92753e7 | + | 5.75969e7i | 0.669720 | + | 0.486580i | 0.869932 | − | 0.493173i | \(-0.164163\pi\) |
−0.200211 | + | 0.979753i | \(0.564163\pi\) | |||||||
\(492\) | −7.42465e6 | + | 1.45717e7i | −0.0623420 | + | 0.122353i | ||||
\(493\) | 1.22393e7 | − | 1.22393e7i | 0.102145 | − | 0.102145i | ||||
\(494\) | 5.77984e7 | − | 1.87799e7i | 0.479441 | − | 0.155780i | ||||
\(495\) | 1.14616e8 | + | 4.44878e7i | 0.944993 | + | 0.366796i | ||||
\(496\) | −1.86576e8 | + | 5.74221e8i | −1.52901 | + | 4.70581i | ||||
\(497\) | 2.34782e8 | − | 1.19627e8i | 1.91247 | − | 0.974454i | ||||
\(498\) | 3.86880e6 | − | 2.44267e7i | 0.0313248 | − | 0.197777i | ||||
\(499\) | 1.36446e8i | 1.09814i | 0.835776 | + | 0.549070i | \(0.185018\pi\) | ||||
−0.835776 | + | 0.549070i | \(0.814982\pi\) | |||||||
\(500\) | 3.13842e8 | − | 4.61162e7i | 2.51074 | − | 0.368929i | ||||
\(501\) | −1.69869e6 | −0.0135083 | ||||||||
\(502\) | −2.23098e8 | − | 3.53353e7i | −1.76354 | − | 0.279317i | ||||
\(503\) | −3.92632e7 | − | 7.70583e7i | −0.308519 | − | 0.605502i | 0.683735 | − | 0.729730i | \(-0.260354\pi\) |
−0.992254 | + | 0.124229i | \(0.960354\pi\) | |||||||
\(504\) | −4.47166e8 | − | 1.45293e8i | −3.49283 | − | 1.13489i | ||||
\(505\) | −4.81959e7 | + | 1.24169e8i | −0.374228 | + | 0.964140i | ||||
\(506\) | −3.28857e7 | − | 1.01212e8i | −0.253837 | − | 0.781230i | ||||
\(507\) | 1.40286e7 | + | 1.40286e7i | 0.107644 | + | 0.107644i | ||||
\(508\) | 4.12469e7 | + | 2.10164e7i | 0.314630 | + | 0.160312i | ||||
\(509\) | −3.24086e7 | + | 4.46066e7i | −0.245757 | + | 0.338256i | −0.914020 | − | 0.405670i | \(-0.867038\pi\) |
0.668262 | + | 0.743926i | \(0.267038\pi\) | |||||||
\(510\) | 4.23195e6 | − | 7.26726e6i | 0.0319029 | − | 0.0547848i | ||||
\(511\) | −1.68808e8 | + | 1.22646e8i | −1.26512 | + | 0.919160i | ||||
\(512\) | −1.98487e7 | − | 1.25320e8i | −0.147884 | − | 0.933703i | ||||
\(513\) | −6.90475e6 | + | 1.09360e6i | −0.0511441 | + | 0.00810043i | ||||
\(514\) | −1.01063e8 | − | 1.39101e8i | −0.744221 | − | 1.02433i | ||||
\(515\) | 1.64118e7 | − | 1.66312e6i | 0.120153 | − | 0.0121759i | ||||
\(516\) | −6.81797e6 | − | 4.95354e6i | −0.0496256 | − | 0.0360551i | ||||
\(517\) | 1.48044e6 | − | 2.90553e6i | 0.0107132 | − | 0.0210258i | ||||
\(518\) | 2.03207e8 | − | 2.03207e8i | 1.46200 | − | 1.46200i | ||||
\(519\) | −3.56353e6 | + | 1.15786e6i | −0.0254905 | + | 0.00828236i | ||||
\(520\) | 3.70930e8 | − | 4.54585e8i | 2.63804 | − | 3.23299i | ||||
\(521\) | 2.50072e7 | − | 7.69644e7i | 0.176829 | − | 0.544223i | −0.822884 | − | 0.568210i | \(-0.807636\pi\) |
0.999712 | + | 0.0239873i | \(0.00763614\pi\) | |||||||
\(522\) | −1.40952e8 | + | 7.18188e7i | −0.990971 | + | 0.504925i | ||||
\(523\) | 5.16844e6 | − | 3.26323e7i | 0.0361289 | − | 0.228109i | −0.963017 | − | 0.269442i | \(-0.913161\pi\) |
0.999145 | + | 0.0413335i | \(0.0131606\pi\) | |||||||
\(524\) | 3.63476e8i | 2.52628i | ||||||||
\(525\) | −2.29499e7 | + | 1.30230e7i | −0.158600 | + | 0.0899978i | ||||
\(526\) | −2.49812e8 | −1.71655 | ||||||||
\(527\) | −5.90160e7 | − | 9.34721e6i | −0.403216 | − | 0.0638631i | ||||
\(528\) | 2.82332e7 | + | 5.54107e7i | 0.191804 | + | 0.376436i | ||||
\(529\) | 1.15683e8 | + | 3.75875e7i | 0.781449 | + | 0.253908i | ||||
\(530\) | −3.40102e8 | − | 1.90955e7i | −2.28445 | − | 0.128264i | ||||
\(531\) | −6.48598e7 | − | 1.99618e8i | −0.433204 | − | 1.33326i | ||||
\(532\) | 6.50239e7 | + | 6.50239e7i | 0.431855 | + | 0.431855i | ||||
\(533\) | −7.48264e7 | − | 3.81260e7i | −0.494167 | − | 0.251790i | ||||
\(534\) | 1.92122e7 | − | 2.64433e7i | 0.126169 | − | 0.173657i | ||||
\(535\) | −1.55230e8 | + | 6.84206e7i | −1.01371 | + | 0.446813i | ||||
\(536\) | −3.73720e7 | + | 2.71523e7i | −0.242690 | + | 0.176325i | ||||
\(537\) | 77605.9 | + | 489984.i | 0.000501155 | + | 0.00316417i | ||||
\(538\) | −3.48328e8 | + | 5.51697e7i | −2.23687 | + | 0.354286i | ||||
\(539\) | 6.45626e7 | + | 8.88627e7i | 0.412301 | + | 0.567484i | ||||
\(540\) | −8.30502e7 | + | 7.42200e7i | −0.527423 | + | 0.471346i | ||||
\(541\) | −7.12105e7 | − | 5.17374e7i | −0.449730 | − | 0.326748i | 0.339759 | − | 0.940512i | \(-0.389654\pi\) |
−0.789489 | + | 0.613764i | \(0.789654\pi\) | |||||||
\(542\) | 2.03480e8 | − | 3.99353e8i | 1.27798 | − | 2.50818i | ||||
\(543\) | 9.74230e6 | − | 9.74230e6i | 0.0608502 | − | 0.0608502i | ||||
\(544\) | −9.40943e7 | + | 3.05731e7i | −0.584476 | + | 0.189908i | ||||
\(545\) | 1.14271e8 | + | 1.77406e8i | 0.705904 | + | 1.09592i | ||||
\(546\) | −2.48900e7 | + | 7.66037e7i | −0.152914 | + | 0.470621i | ||||
\(547\) | 1.22625e8 | − | 6.24807e7i | 0.749236 | − | 0.381755i | −0.0372964 | − | 0.999304i | \(-0.511875\pi\) |
0.786532 | + | 0.617550i | \(0.211875\pi\) | |||||||
\(548\) | 6.04403e7 | − | 3.81605e8i | 0.367269 | − | 2.31885i | ||||
\(549\) | − | 1.11381e8i | − | 0.673120i | ||||||
\(550\) | −3.11964e8 | − | 8.60884e7i | −1.87507 | − | 0.517436i | ||||
\(551\) | 1.87477e7 | 0.112071 | ||||||||
\(552\) | 2.85611e7 | + | 4.52364e6i | 0.169808 | + | 0.0268950i | ||||
\(553\) | 8.93749e7 | + | 1.75408e8i | 0.528494 | + | 1.03723i | ||||
\(554\) | 1.68740e8 | + | 5.48268e7i | 0.992402 | + | 0.322451i | ||||
\(555\) | −5.21132e6 | − | 1.97430e7i | −0.0304838 | − | 0.115487i | ||||
\(556\) | 6.72380e7 | + | 2.06937e8i | 0.391193 | + | 1.20397i | ||||
\(557\) | −1.13426e8 | − | 1.13426e8i | −0.656366 | − | 0.656366i | 0.298152 | − | 0.954518i | \(-0.403630\pi\) |
−0.954518 | + | 0.298152i | \(0.903630\pi\) | |||||||
\(558\) | 4.86575e8 | + | 2.47922e8i | 2.80058 | + | 1.42697i | ||||
\(559\) | 2.54367e7 | − | 3.50106e7i | 0.145621 | − | 0.200431i | ||||
\(560\) | 6.45330e8 | + | 1.39686e8i | 3.67467 | + | 0.795403i | ||||
\(561\) | −4.97906e6 | + | 3.61750e6i | −0.0282006 | + | 0.0204889i | ||||
\(562\) | −2.40589e7 | − | 1.51902e8i | −0.135540 | − | 0.855764i | ||||
\(563\) | −6.80026e7 | + | 1.07705e7i | −0.381066 | + | 0.0603549i | −0.344029 | − | 0.938959i | \(-0.611792\pi\) |
−0.0370368 | + | 0.999314i | \(0.511792\pi\) | |||||||
\(564\) | 859533. | + | 1.18305e6i | 0.00479099 | + | 0.00659424i | ||||
\(565\) | 6.71258e7 | − | 3.10113e8i | 0.372173 | − | 1.71939i | ||||
\(566\) | 1.01783e8 | + | 7.39500e7i | 0.561342 | + | 0.407839i | ||||
\(567\) | −1.00877e8 | + | 1.97983e8i | −0.553407 | + | 1.08612i | ||||
\(568\) | −6.20934e8 | + | 6.20934e8i | −3.38844 | + | 3.38844i | ||||
\(569\) | −3.21728e8 | + | 1.04536e8i | −1.74643 | + | 0.567450i | −0.995656 | − | 0.0931079i | \(-0.970320\pi\) |
−0.750775 | + | 0.660558i | \(0.770320\pi\) | |||||||
\(570\) | 8.80702e6 | − | 2.32468e6i | 0.0475559 | − | 0.0125528i | ||||
\(571\) | 1.12155e8 | − | 3.45177e8i | 0.602435 | − | 1.85410i | 0.0888903 | − | 0.996041i | \(-0.471668\pi\) |
0.513545 | − | 0.858063i | \(-0.328332\pi\) | |||||||
\(572\) | −6.31377e8 | + | 3.21703e8i | −3.37365 | + | 1.71896i | ||||
\(573\) | −1.47322e6 | + | 9.30155e6i | −0.00783076 | + | 0.0494415i | ||||
\(574\) | − | 1.77147e8i | − | 0.936694i | ||||||
\(575\) | −6.27664e7 | + | 5.00571e7i | −0.330159 | + | 0.263307i | ||||
\(576\) | 3.60592e8 | 1.88690 | ||||||||
\(577\) | −2.44937e7 | − | 3.87942e6i | −0.127505 | − | 0.0201948i | 0.0923558 | − | 0.995726i | \(-0.470560\pi\) |
−0.219861 | + | 0.975531i | \(0.570560\pi\) | |||||||
\(578\) | 1.55434e8 | + | 3.05057e8i | 0.804940 | + | 1.57978i | ||||
\(579\) | −4.76631e6 | − | 1.54867e6i | −0.0245554 | − | 0.00797852i | ||||
\(580\) | 2.51116e8 | − | 1.61749e8i | 1.28703 | − | 0.829005i | ||||
\(581\) | 5.93813e7 | + | 1.82757e8i | 0.302776 | + | 0.931848i | ||||
\(582\) | −2.55397e7 | − | 2.55397e7i | −0.129553 | − | 0.129553i | ||||
\(583\) | 2.22118e8 | + | 1.13175e8i | 1.12093 | + | 0.571143i | ||||
\(584\) | 4.08725e8 | − | 5.62561e8i | 2.05207 | − | 2.82443i | ||||
\(585\) | −1.88655e8 | − | 2.11100e8i | −0.942325 | − | 1.05444i | ||||
\(586\) | 3.06321e8 | − | 2.22555e8i | 1.52224 | − | 1.10598i | ||||
\(587\) | −3.77871e7 | − | 2.38578e8i | −0.186823 | − | 1.17955i | −0.885682 | − | 0.464292i | \(-0.846309\pi\) |
0.698859 | − | 0.715259i | \(-0.253691\pi\) | |||||||
\(588\) | −4.86499e7 | + | 7.70539e6i | −0.239304 | + | 0.0379021i | ||||
\(589\) | −3.80403e7 | − | 5.23580e7i | −0.186165 | − | 0.256234i | ||||
\(590\) | 2.22832e8 | + | 5.05551e8i | 1.08498 | + | 2.46155i | ||||
\(591\) | 1.54310e7 | + | 1.12113e7i | 0.0747534 | + | 0.0543115i | ||||
\(592\) | −2.31961e8 | + | 4.55248e8i | −1.11802 | + | 2.19424i | ||||
\(593\) | 2.31243e8 | − | 2.31243e8i | 1.10893 | − | 1.10893i | 0.115639 | − | 0.993291i | \(-0.463108\pi\) |
0.993291 | − | 0.115639i | \(-0.0368916\pi\) | |||||||
\(594\) | 1.08072e8 | − | 3.51147e7i | 0.515648 | − | 0.167544i | ||||
\(595\) | −3.66304e6 | + | 6.52407e7i | −0.0173896 | + | 0.309719i | ||||
\(596\) | 1.25229e8 | − | 3.85417e8i | 0.591518 | − | 1.82050i | ||||
\(597\) | −2.45587e7 | + | 1.25133e7i | −0.115420 | + | 0.0588095i | ||||
\(598\) | −3.83356e7 | + | 2.42041e8i | −0.179266 | + | 1.13184i | ||||
\(599\) | 3.78075e8i | 1.75913i | 0.475779 | + | 0.879565i | \(0.342166\pi\) | ||||
−0.475779 | + | 0.879565i | \(0.657834\pi\) | |||||||
\(600\) | 5.93271e7 | − | 6.49097e7i | 0.274663 | − | 0.300508i | ||||
\(601\) | −3.08731e8 | −1.42219 | −0.711093 | − | 0.703098i | \(-0.751799\pi\) | ||||
−0.711093 | + | 0.703098i | \(0.751799\pi\) | |||||||
\(602\) | 9.01615e7 | + | 1.42802e7i | 0.413268 | + | 0.0654552i | ||||
\(603\) | 1.01197e7 | + | 1.98611e7i | 0.0461549 | + | 0.0905841i | ||||
\(604\) | 6.38301e8 | + | 2.07397e8i | 2.89677 | + | 0.941219i | ||||
\(605\) | 1.19268e7 | + | 9.73195e6i | 0.0538588 | + | 0.0439474i | ||||
\(606\) | 1.88305e7 | + | 5.79543e7i | 0.0846142 | + | 0.260416i | ||||
\(607\) | 2.05854e8 | + | 2.05854e8i | 0.920437 | + | 0.920437i | 0.997060 | − | 0.0766232i | \(-0.0244138\pi\) |
−0.0766232 | + | 0.997060i | \(0.524414\pi\) | |||||||
\(608\) | −9.54803e7 | − | 4.86496e7i | −0.424818 | − | 0.216456i | ||||
\(609\) | −1.46050e7 | + | 2.01020e7i | −0.0646619 | + | 0.0889995i | ||||
\(610\) | 2.95585e7 | + | 2.91686e8i | 0.130225 | + | 1.28507i | ||||
\(611\) | −6.07500e6 | + | 4.41375e6i | −0.0266332 | + | 0.0193501i | ||||
\(612\) | 2.13577e7 | + | 1.34848e8i | 0.0931754 | + | 0.588286i | ||||
\(613\) | 6.28413e7 | − | 9.95308e6i | 0.272812 | − | 0.0432092i | −0.0185294 | − | 0.999828i | \(-0.505898\pi\) |
0.291341 | + | 0.956619i | \(0.405898\pi\) | |||||||
\(614\) | 5.25298e7 | + | 7.23011e7i | 0.226935 | + | 0.312349i | ||||
\(615\) | −1.08770e7 | − | 6.33405e6i | −0.0467612 | − | 0.0272305i | ||||
\(616\) | −7.32750e8 | − | 5.32374e8i | −3.13483 | − | 2.27759i | ||||
\(617\) | 7.30826e7 | − | 1.43433e8i | 0.311142 | − | 0.610650i | −0.681489 | − | 0.731828i | \(-0.738667\pi\) |
0.992631 | + | 0.121178i | \(0.0386672\pi\) | |||||||
\(618\) | 5.33644e6 | − | 5.33644e6i | 0.0226093 | − | 0.0226093i | ||||
\(619\) | 1.61701e8 | − | 5.25399e7i | 0.681776 | − | 0.221522i | 0.0524032 | − | 0.998626i | \(-0.483312\pi\) |
0.629373 | + | 0.777104i | \(0.283312\pi\) | |||||||
\(620\) | −9.61257e8 | − | 3.73109e8i | −4.03334 | − | 1.56553i | ||||
\(621\) | 8.71103e6 | − | 2.68098e7i | 0.0363743 | − | 0.111949i | ||||
\(622\) | 3.81207e7 | − | 1.94234e7i | 0.158412 | − | 0.0807151i | ||||
\(623\) | −3.97296e7 | + | 2.50843e8i | −0.164305 | + | 1.03738i | ||||
\(624\) | − | 1.43205e8i | − | 0.589392i | ||||||
\(625\) | 2.18965e7 | + | 2.43157e8i | 0.0896882 | + | 0.995970i | ||||
\(626\) | −2.77187e8 | −1.12993 | ||||||||
\(627\) | −6.58393e6 | − | 1.04279e6i | −0.0267106 | − | 0.00423054i | ||||
\(628\) | −4.46758e8 | − | 8.76812e8i | −1.80382 | − | 3.54020i | ||||
\(629\) | −4.80896e7 | − | 1.56252e7i | −0.193241 | − | 0.0627878i | ||||
\(630\) | 2.16095e8 | − | 5.56735e8i | 0.864218 | − | 2.22652i | ||||
\(631\) | 2.02453e7 | + | 6.23085e7i | 0.0805815 | + | 0.248004i | 0.983229 | − | 0.182377i | \(-0.0583791\pi\) |
−0.902647 | + | 0.430381i | \(0.858379\pi\) | |||||||
\(632\) | −4.63907e8 | − | 4.63907e8i | −1.83772 | − | 1.83772i | ||||
\(633\) | 1.29456e7 | + | 6.59613e6i | 0.0510402 | + | 0.0260063i | ||||
\(634\) | −4.03502e8 | + | 5.55373e8i | −1.58335 | + | 2.17930i | ||||
\(635\) | −1.79293e7 | + | 3.07888e7i | −0.0700231 | + | 0.120246i | ||||
\(636\) | −9.04402e7 | + | 6.57087e7i | −0.351553 | + | 0.255418i | ||||
\(637\) | −3.95676e7 | − | 2.49820e8i | −0.153081 | − | 0.966516i | ||||
\(638\) | −3.00986e8 | + | 4.76716e7i | −1.15900 | + | 0.183568i | ||||
\(639\) | 2.49065e8 | + | 3.42809e8i | 0.954576 | + | 1.31386i | ||||
\(640\) | −2.74962e8 | + | 2.78638e7i | −1.04890 | + | 0.106292i | ||||
\(641\) | 1.14206e8 | + | 8.29754e7i | 0.433625 | + | 0.315047i | 0.783097 | − | 0.621900i | \(-0.213639\pi\) |
−0.349472 | + | 0.936947i | \(0.613639\pi\) | |||||||
\(642\) | −3.52344e7 | + | 6.91514e7i | −0.133156 | + | 0.261334i | ||||
\(643\) | 8.03397e7 | − | 8.03397e7i | 0.302202 | − | 0.302202i | −0.539673 | − | 0.841875i | \(-0.681452\pi\) |
0.841875 | + | 0.539673i | \(0.181452\pi\) | |||||||
\(644\) | −3.52658e8 | + | 1.14586e8i | −1.32037 | + | 0.429015i | ||||
\(645\) | 4.10063e6 | − | 5.02544e6i | 0.0152817 | − | 0.0187281i | ||||
\(646\) | 6.97016e6 | − | 2.14519e7i | 0.0258550 | − | 0.0795736i | ||||
\(647\) | 1.43297e7 | − | 7.30133e6i | 0.0529082 | − | 0.0269581i | −0.427336 | − | 0.904093i | \(-0.640548\pi\) |
0.480244 | + | 0.877135i | \(0.340548\pi\) | |||||||
\(648\) | 1.15839e8 | − | 7.31381e8i | 0.425727 | − | 2.68793i | ||||
\(649\) | − | 4.04323e8i | − | 1.47909i | ||||||
\(650\) | 5.50076e8 | + | 5.02767e8i | 2.00301 | + | 1.83074i | ||||
\(651\) | 8.57747e7 | 0.310897 | ||||||||
\(652\) | 1.20233e9 | + | 1.90431e8i | 4.33793 | + | 0.687060i | ||||
\(653\) | −1.24034e8 | − | 2.43430e8i | −0.445451 | − | 0.874247i | −0.999138 | − | 0.0415220i | \(-0.986779\pi\) |
0.553686 | − | 0.832725i | \(-0.313221\pi\) | |||||||
\(654\) | 9.18180e7 | + | 2.98335e7i | 0.328242 | + | 0.106652i | ||||
\(655\) | −2.79308e8 | − | 1.56821e7i | −0.993937 | − | 0.0558061i | ||||
\(656\) | 9.73263e7 | + | 2.99540e8i | 0.344761 | + | 1.06107i | ||||
\(657\) | −2.37264e8 | − | 2.37264e8i | −0.836633 | − | 0.836633i | ||||
\(658\) | −1.41133e7 | − | 7.19109e6i | −0.0495395 | − | 0.0252416i | ||||
\(659\) | 4.92680e7 | − | 6.78116e7i | 0.172151 | − | 0.236945i | −0.714220 | − | 0.699921i | \(-0.753218\pi\) |
0.886371 | + | 0.462976i | \(0.153218\pi\) | |||||||
\(660\) | −9.71852e7 | + | 4.28363e7i | −0.338040 | + | 0.148998i | ||||
\(661\) | −2.17813e8 | + | 1.58250e8i | −0.754188 | + | 0.547950i | −0.897122 | − | 0.441783i | \(-0.854346\pi\) |
0.142934 | + | 0.989732i | \(0.454346\pi\) | |||||||
\(662\) | 1.44885e8 | + | 9.14770e8i | 0.499402 | + | 3.15310i | ||||
\(663\) | 1.39976e7 | − | 2.21701e6i | 0.0480302 | − | 0.00760723i | ||||
\(664\) | −3.76411e8 | − | 5.18086e8i | −1.28576 | − | 1.76969i | ||||
\(665\) | −5.27720e7 | + | 4.71611e7i | −0.179448 | + | 0.160369i | ||||
\(666\) | 3.73871e8 | + | 2.71633e8i | 1.26561 | + | 0.919517i | ||||
\(667\) | −3.43206e7 | + | 6.73579e7i | −0.115658 | + | 0.226992i | ||||
\(668\) | −5.13297e7 | + | 5.13297e7i | −0.172202 | + | 0.172202i | ||||
\(669\) | −3.41011e7 | + | 1.10801e7i | −0.113891 | + | 0.0370055i | ||||
\(670\) | −3.17726e7 | − | 4.93271e7i | −0.105640 | − | 0.164007i | ||||
\(671\) | 6.63021e7 | − | 2.04057e8i | 0.219462 | − | 0.675435i | ||||
\(672\) | 1.26546e8 | − | 6.44782e7i | 0.417003 | − | 0.212474i | ||||
\(673\) | −3.46141e7 | + | 2.18545e8i | −0.113556 | + | 0.716961i | 0.863559 | + | 0.504248i | \(0.168230\pi\) |
−0.977115 | + | 0.212714i | \(0.931770\pi\) | |||||||
\(674\) | 4.79488e7i | 0.156602i | ||||||||
\(675\) | −5.34500e7 | − | 6.70208e7i | −0.173795 | − | 0.217921i | ||||
\(676\) | 8.47812e8 | 2.74447 | ||||||||
\(677\) | 5.19375e8 | + | 8.22608e7i | 1.67384 | + | 0.265111i | 0.919993 | − | 0.391936i | \(-0.128194\pi\) |
0.753850 | + | 0.657046i | \(0.228194\pi\) | |||||||
\(678\) | −6.59025e7 | − | 1.29341e8i | −0.211452 | − | 0.414999i | ||||
\(679\) | 2.66907e8 | + | 8.67234e7i | 0.852611 | + | 0.277030i | ||||
\(680\) | −5.55760e7 | − | 2.10549e8i | −0.176751 | − | 0.669617i | ||||
\(681\) | −1.55904e7 | − | 4.79823e7i | −0.0493647 | − | 0.151929i | ||||
\(682\) | 7.43857e8 | + | 7.43857e8i | 2.34496 | + | 2.34496i | ||||
\(683\) | −1.96502e8 | − | 1.00123e8i | −0.616743 | − | 0.314246i | 0.117562 | − | 0.993066i | \(-0.462492\pi\) |
−0.734306 | + | 0.678819i | \(0.762492\pi\) | |||||||
\(684\) | −8.69196e7 | + | 1.19635e8i | −0.271612 | + | 0.373842i | ||||
\(685\) | 2.90630e8 | + | 6.29086e7i | 0.904210 | + | 0.195721i | ||||
\(686\) | −2.04745e8 | + | 1.48756e8i | −0.634221 | + | 0.460788i | ||||
\(687\) | 1.71500e6 | + | 1.08281e7i | 0.00528925 | + | 0.0333950i | ||||
\(688\) | −1.60301e8 | + | 2.53892e7i | −0.492233 | + | 0.0779620i | ||||
\(689\) | −3.37417e8 | − | 4.64415e8i | −1.03160 | − | 1.41987i | ||||
\(690\) | −7.77035e6 | + | 3.58981e7i | −0.0236534 | + | 0.109276i | ||||
\(691\) | 7.81141e7 | + | 5.67532e7i | 0.236753 | + | 0.172011i | 0.699835 | − | 0.714304i | \(-0.253257\pi\) |
−0.463083 | + | 0.886315i | \(0.653257\pi\) | |||||||
\(692\) | −7.26925e7 | + | 1.42667e8i | −0.219367 | + | 0.430532i | ||||
\(693\) | −3.09042e8 | + | 3.09042e8i | −0.928576 | + | 0.928576i | ||||
\(694\) | −1.82702e8 | + | 5.93635e7i | −0.546595 | + | 0.177599i | ||||
\(695\) | −1.61919e8 | + | 4.27397e7i | −0.482328 | + | 0.127314i | ||||
\(696\) | 2.55883e7 | − | 7.87526e7i | 0.0758950 | − | 0.233581i | ||||
\(697\) | −2.77719e7 | + | 1.41505e7i | −0.0820177 | + | 0.0417901i | ||||
\(698\) | 1.62583e8 | − | 1.02651e9i | 0.478090 | − | 3.01854i | ||||
\(699\) | 7.21177e7i | 0.211159i | ||||||||
\(700\) | −2.99963e8 | + | 1.08700e9i | −0.874529 | + | 3.16909i | ||||
\(701\) | 7.08218e7 | 0.205595 | 0.102798 | − | 0.994702i | \(-0.467221\pi\) | ||||
0.102798 | + | 0.994702i | \(0.467221\pi\) | |||||||
\(702\) | −2.58447e8 | − | 4.09340e7i | −0.747068 | − | 0.118324i | ||||
\(703\) | −2.48638e7 | − | 4.87979e7i | −0.0715651 | − | 0.140454i | ||||
\(704\) | 6.60628e8 | + | 2.14651e8i | 1.89339 | + | 0.615198i | ||||
\(705\) | −946177. | + | 609452.i | −0.00270026 | + | 0.00173929i | ||||
\(706\) | −1.06683e8 | − | 3.28336e8i | −0.303166 | − | 0.933049i | ||||
\(707\) | −3.34801e8 | − | 3.34801e8i | −0.947390 | − | 0.947390i | ||||
\(708\) | 1.61551e8 | + | 8.23144e7i | 0.455208 | + | 0.231940i | ||||
\(709\) | 8.29170e6 | − | 1.14125e7i | 0.0232651 | − | 0.0320217i | −0.797226 | − | 0.603681i | \(-0.793700\pi\) |
0.820491 | + | 0.571659i | \(0.193700\pi\) | |||||||
\(710\) | −7.43233e8 | − | 8.31658e8i | −2.07659 | − | 2.32364i | ||||
\(711\) | −2.56117e8 | + | 1.86080e8i | −0.712572 | + | 0.517714i | ||||
\(712\) | −1.32401e8 | − | 8.35946e8i | −0.366818 | − | 2.31600i | ||||
\(713\) | 2.57754e8 | − | 4.08242e7i | 0.711110 | − | 0.112629i | ||||
\(714\) | 1.75716e7 | + | 2.41853e7i | 0.0482745 | + | 0.0664442i | ||||
\(715\) | −2.19966e8 | − | 4.99051e8i | −0.601781 | − | 1.36530i | ||||
\(716\) | 1.71510e7 | + | 1.24609e7i | 0.0467250 | + | 0.0339477i | ||||
\(717\) | 1.33683e7 | − | 2.62367e7i | 0.0362676 | − | 0.0711791i | ||||
\(718\) | 2.75528e8 | − | 2.75528e8i | 0.744375 | − | 0.744375i | ||||
\(719\) | 1.91581e8 | − | 6.22485e7i | 0.515426 | − | 0.167472i | −0.0397427 | − | 0.999210i | \(-0.512654\pi\) |
0.555168 | + | 0.831738i | \(0.312654\pi\) | |||||||
\(720\) | −5.95217e7 | + | 1.06011e9i | −0.159470 | + | 2.84024i | ||||
\(721\) | −1.81206e7 | + | 5.57694e7i | −0.0483467 | + | 0.148796i | ||||
\(722\) | −6.08976e8 | + | 3.10289e8i | −1.61804 | + | 0.824431i | ||||
\(723\) | −6.42708e6 | + | 4.05790e7i | −0.0170059 | + | 0.107371i | ||||
\(724\) | − | 5.88769e8i | − | 1.55142i | ||||||
\(725\) | 1.13459e8 | + | 1.99944e8i | 0.297731 | + | 0.524681i | ||||
\(726\) | 7.04252e6 | 0.0184043 | ||||||||
\(727\) | −2.79649e8 | − | 4.42921e7i | −0.727797 | − | 0.115272i | −0.218469 | − | 0.975844i | \(-0.570106\pi\) |
−0.509328 | + | 0.860572i | \(0.670106\pi\) | |||||||
\(728\) | 9.46869e8 | + | 1.85834e9i | 2.45412 | + | 4.81648i | ||||
\(729\) | −3.25375e8 | − | 1.05721e8i | −0.839850 | − | 0.272884i | ||||
\(730\) | 6.84317e8 | + | 5.58385e8i | 1.75909 | + | 1.43538i | ||||
\(731\) | −4.96335e6 | − | 1.52756e7i | −0.0127064 | − | 0.0391063i | ||||
\(732\) | 6.80346e7 | + | 6.80346e7i | 0.173459 | + | 0.173459i | ||||
\(733\) | 2.37860e8 | + | 1.21196e8i | 0.603962 | + | 0.307734i | 0.729102 | − | 0.684405i | \(-0.239938\pi\) |
−0.125140 | + | 0.992139i | \(0.539938\pi\) | |||||||
\(734\) | −1.02212e8 | + | 1.40683e8i | −0.258473 | + | 0.355758i | ||||
\(735\) | −3.82209e6 | − | 3.77167e7i | −0.00962584 | − | 0.0949886i | ||||
\(736\) | 3.49583e8 | − | 2.53987e8i | 0.876833 | − | 0.637056i | ||||
\(737\) | 6.71724e6 | + | 4.24110e7i | 0.0167799 | + | 0.105944i | ||||
\(738\) | 2.81361e8 | − | 4.45632e7i | 0.699995 | − | 0.110868i | ||||
\(739\) | −6.58988e7 | − | 9.07019e7i | −0.163284 | − | 0.224741i | 0.719533 | − | 0.694458i | \(-0.244356\pi\) |
−0.882817 | + | 0.469717i | \(0.844356\pi\) | |||||||
\(740\) | −7.54049e8 | − | 4.39106e8i | −1.86082 | − | 1.08361i | ||||
\(741\) | 1.24185e7 | + | 9.02255e6i | 0.0305221 | + | 0.0221756i | ||||
\(742\) | 5.49737e8 | − | 1.07892e9i | 1.34568 | − | 2.64105i | ||||
\(743\) | 1.64252e8 | − | 1.64252e8i | 0.400447 | − | 0.400447i | −0.477944 | − | 0.878391i | \(-0.658618\pi\) |
0.878391 | + | 0.477944i | \(0.158618\pi\) | |||||||
\(744\) | −2.71858e8 | + | 8.83320e7i | −0.660121 | + | 0.214486i | ||||
\(745\) | 2.90764e8 | + | 1.12859e8i | 0.703189 | + | 0.272941i | ||||
\(746\) | −1.77275e8 | + | 5.45598e8i | −0.427004 | + | 1.31418i | ||||
\(747\) | −2.75334e8 | + | 1.40289e8i | −0.660537 | + | 0.336561i | ||||
\(748\) | −4.11425e7 | + | 2.59764e8i | −0.0983073 | + | 0.620688i | ||||
\(749\) | − | 6.03036e8i | − | 1.43515i | ||||||
\(750\) | 7.80918e7 | + | 7.98582e7i | 0.185106 | + | 0.189294i | ||||
\(751\) | 8.04661e8 | 1.89974 | 0.949868 | − | 0.312651i | \(-0.101217\pi\) | ||||
0.949868 | + | 0.312651i | \(0.101217\pi\) | |||||||
\(752\) | 2.78152e7 | + | 4.40550e6i | 0.0654077 | + | 0.0103596i | ||||
\(753\) | −2.59014e7 | − | 5.08344e7i | −0.0606650 | − | 0.119062i | ||||
\(754\) | 6.67388e8 | + | 2.16847e8i | 1.55691 | + | 0.505872i | ||||
\(755\) | −1.86910e8 | + | 4.81544e8i | −0.434302 | + | 1.11891i | ||||
\(756\) | −1.22352e8 | − | 3.76562e8i | −0.283170 | − | 0.871507i | ||||
\(757\) | −3.51612e8 | − | 3.51612e8i | −0.810543 | − | 0.810543i | 0.174172 | − | 0.984715i | \(-0.444275\pi\) |
−0.984715 | + | 0.174172i | \(0.944275\pi\) | |||||||
\(758\) | −9.69824e8 | − | 4.94150e8i | −2.22682 | − | 1.13462i | ||||
\(759\) | 1.57995e7 | − | 2.17462e7i | 0.0361342 | − | 0.0497345i | ||||
\(760\) | 1.18691e8 | − | 2.03820e8i | 0.270381 | − | 0.464308i | ||||
\(761\) | 1.95134e8 | − | 1.41773e8i | 0.442771 | − | 0.321692i | −0.343964 | − | 0.938983i | \(-0.611770\pi\) |
0.786735 | + | 0.617291i | \(0.211770\pi\) | |||||||
\(762\) | 2.54991e6 | + | 1.60995e7i | 0.00576315 | + | 0.0363871i | ||||
\(763\) | −7.40909e8 | + | 1.17348e8i | −1.66798 | + | 0.264182i | ||||
\(764\) | 2.36550e8 | + | 3.25583e8i | 0.530448 | + | 0.730099i | ||||
\(765\) | −1.04543e8 | + | 1.05940e7i | −0.233512 | + | 0.0236634i | ||||
\(766\) | −8.22840e8 | − | 5.97828e8i | −1.83075 | − | 1.33012i | ||||
\(767\) | −4.22689e8 | + | 8.29573e8i | −0.936773 | + | 1.83852i | ||||
\(768\) | −2.61117e6 | + | 2.61117e6i | −0.00576437 | + | 0.00576437i | ||||
\(769\) | 3.17184e8 | − | 1.03059e8i | 0.697481 | − | 0.226625i | 0.0612485 | − | 0.998123i | \(-0.480492\pi\) |
0.636233 | + | 0.771497i | \(0.280492\pi\) | |||||||
\(770\) | 7.27311e8 | − | 8.91340e8i | 1.59312 | − | 1.95241i | ||||
\(771\) | 1.34201e7 | − | 4.13028e7i | 0.0292815 | − | 0.0901191i | ||||
\(772\) | −1.90821e8 | + | 9.72280e7i | −0.414738 | + | 0.211319i | ||||
\(773\) | −1.25750e8 | + | 7.93951e8i | −0.272250 | + | 1.71892i | 0.350556 | + | 0.936542i | \(0.385993\pi\) |
−0.622806 | + | 0.782377i | \(0.714007\pi\) | |||||||
\(774\) | 1.46795e8i | 0.316584i | ||||||||
\(775\) | 3.28183e8 | − | 7.22565e8i | 0.705036 | − | 1.55229i | ||||
\(776\) | −9.35256e8 | −2.00145 | ||||||||
\(777\) | 7.16925e7 | + | 1.13550e7i | 0.152831 | + | 0.0242060i | ||||
\(778\) | −2.68827e8 | − | 5.27603e8i | −0.570867 | − | 1.12039i | ||||
\(779\) | −3.21075e7 | − | 1.04324e7i | −0.0679195 | − | 0.0220684i | ||||
\(780\) | 2.44182e8 | + | 1.37100e7i | 0.514554 | + | 0.0288904i | ||||
\(781\) | 2.52239e8 | + | 7.76312e8i | 0.529492 | + | 1.62961i | ||||
\(782\) | 6.43139e7 | + | 6.43139e7i | 0.134488 | + | 0.134488i | ||||
\(783\) | −7.19235e7 | − | 3.66469e7i | −0.149825 | − | 0.0763399i | ||||
\(784\) | −5.57570e8 | + | 7.67430e8i | −1.15705 | + | 1.59254i | ||||
\(785\) | 6.93047e8 | − | 3.05474e8i | 1.43270 | − | 0.631488i | ||||
\(786\) | −1.03542e8 | + | 7.52275e7i | −0.213230 | + | 0.154921i | ||||
\(787\) | 1.21573e8 | + | 7.67580e8i | 0.249409 | + | 1.57471i | 0.721029 | + | 0.692905i | \(0.243669\pi\) |
−0.471620 | + | 0.881802i | \(0.656331\pi\) | |||||||
\(788\) | 8.05053e8 | − | 1.27508e8i | 1.64530 | − | 0.260590i | ||||
\(789\) | −3.70879e7 | − | 5.10471e7i | −0.0755094 | − | 0.103930i | ||||
\(790\) | 6.21341e8 | − | 5.55278e8i | 1.26023 | − | 1.12624i | ||||
\(791\) | 9.12506e8 | + | 6.62975e8i | 1.84377 | + | 1.33958i | ||||
\(792\) | 6.61235e8 | − | 1.29775e9i | 1.33101 | − | 2.61225i | ||||
\(793\) | −3.49361e8 | + | 3.49361e8i | −0.700576 | + | 0.700576i | ||||
\(794\) | −1.57857e9 | + | 5.12909e8i | −3.15357 | + | 1.02466i | ||||
\(795\) | −4.65907e7 | − | 7.23323e7i | −0.0927253 | − | 0.143956i | ||||
\(796\) | −3.63978e8 | + | 1.12021e9i | −0.721665 | + | 2.22106i | ||||
\(797\) | 4.03733e8 | − | 2.05712e8i | 0.797480 | − | 0.406336i | −0.00725280 | − | 0.999974i | \(-0.502309\pi\) |
0.804733 | + | 0.593637i | \(0.202309\pi\) | |||||||
\(798\) | −5.06527e6 | + | 3.19808e7i | −0.00996767 | + | 0.0629334i | ||||
\(799\) | 2.78702e6i | 0.00546386i | ||||||||
\(800\) | −5.89866e7 | − | 1.31272e9i | −0.115208 | − | 2.56391i | ||||
\(801\) | −4.08406e8 | −0.794684 | ||||||||
\(802\) | −1.55958e9 | − | 2.47013e8i | −3.02332 | − | 0.478847i | ||||
\(803\) | −2.93446e8 | − | 5.75920e8i | −0.566737 | − | 1.11228i | ||||
\(804\) | −1.83132e7 | − | 5.95033e6i | −0.0352368 | − | 0.0114491i | ||||
\(805\) | −7.28361e7 | − | 2.75938e8i | −0.139624 | − | 0.528962i | ||||
\(806\) | −7.48569e8 | − | 2.30386e9i | −1.42964 | − | 4.39998i | ||||
\(807\) | −6.29874e7 | − | 6.29874e7i | −0.119849 | − | 0.119849i | ||||
\(808\) | 1.40592e9 | + | 7.16351e8i | 2.66518 | + | 1.35797i | ||||
\(809\) | −1.71333e8 | + | 2.35820e8i | −0.323591 | + | 0.445384i | −0.939559 | − | 0.342386i | \(-0.888765\pi\) |
0.615969 | + | 0.787771i | \(0.288765\pi\) | |||||||
\(810\) | 9.19262e8 | + | 1.98980e8i | 1.72975 | + | 0.374415i | ||||
\(811\) | 2.92670e8 | − | 2.12637e8i | 0.548675 | − | 0.398636i | −0.278621 | − | 0.960401i | \(-0.589877\pi\) |
0.827297 | + | 0.561765i | \(0.189877\pi\) | |||||||
\(812\) | 1.66105e8 | + | 1.04875e9i | 0.310252 | + | 1.95885i | ||||
\(813\) | 1.11814e8 | − | 1.77096e7i | 0.208077 | − | 0.0329562i | ||||
\(814\) | 5.23260e8 | + | 7.20206e8i | 0.970163 | + | 1.33531i | ||||
\(815\) | −1.98208e8 | + | 9.15698e8i | −0.366141 | + | 1.69153i | ||||
\(816\) | −4.29998e7 | − | 3.12412e7i | −0.0791399 | − | 0.0574985i | ||||
\(817\) | 7.89797e6 | − | 1.55006e7i | 0.0144827 | − | 0.0284239i | ||||
\(818\) | −9.37699e8 | + | 9.37699e8i | −1.71318 | + | 1.71318i | ||||
\(819\) | 9.57158e8 | − | 3.11000e8i | 1.74234 | − | 0.566119i | ||||
\(820\) | −5.20071e8 | + | 1.37277e8i | −0.943237 | + | 0.248975i | ||||
\(821\) | 5.68763e7 | − | 1.75047e8i | 0.102778 | − | 0.316319i | −0.886424 | − | 0.462874i | \(-0.846818\pi\) |
0.989203 | + | 0.146554i | \(0.0468183\pi\) | |||||||
\(822\) | 1.21215e8 | − | 6.17621e7i | 0.218243 | − | 0.111201i | ||||
\(823\) | 9.38721e7 | − | 5.92685e8i | 0.168398 | − | 1.06322i | −0.748218 | − | 0.663453i | \(-0.769090\pi\) |
0.916616 | − | 0.399770i | \(-0.130910\pi\) | |||||||
\(824\) | − | 1.95419e8i | − | 0.349289i | ||||||
\(825\) | −2.87238e7 | − | 7.65285e7i | −0.0511540 | − | 0.136289i | ||||
\(826\) | −1.96396e9 | −3.48492 | ||||||||
\(827\) | 4.40069e8 | + | 6.97002e7i | 0.778045 | + | 0.123230i | 0.532812 | − | 0.846234i | \(-0.321135\pi\) |
0.245233 | + | 0.969464i | \(0.421135\pi\) | |||||||
\(828\) | −2.70711e8 | − | 5.31300e8i | −0.476886 | − | 0.935941i | ||||
\(829\) | 3.01082e8 | + | 9.78274e7i | 0.528471 | + | 0.171711i | 0.561086 | − | 0.827757i | \(-0.310384\pi\) |
−0.0326153 | + | 0.999468i | \(0.510384\pi\) | |||||||
\(830\) | 6.83819e8 | − | 4.40462e8i | 1.19593 | − | 0.770325i | ||||
\(831\) | 1.38482e7 | + | 4.26204e7i | 0.0241319 | + | 0.0742702i | ||||
\(832\) | −1.13105e9 | − | 1.13105e9i | −1.96386 | − | 1.96386i | ||||
\(833\) | −8.36448e7 | − | 4.26191e7i | −0.144712 | − | 0.0737343i | ||||
\(834\) | −4.50332e7 | + | 6.19829e7i | −0.0776309 | + | 0.106850i | ||||
\(835\) | −3.72289e7 | − | 4.16581e7i | −0.0639470 | − | 0.0715550i | ||||
\(836\) | −2.30458e8 | + | 1.67438e8i | −0.394433 | + | 0.286572i | ||||
\(837\) | 4.35913e7 | + | 2.75225e8i | 0.0743402 | + | 0.469365i | ||||
\(838\) | 7.54545e8 | − | 1.19508e8i | 1.28219 | − | 0.203079i | ||||
\(839\) | −5.41031e7 | − | 7.44666e7i | −0.0916087 | − | 0.126088i | 0.760753 | − | 0.649042i | \(-0.224830\pi\) |
−0.852361 | + | 0.522954i | \(0.824830\pi\) | |||||||
\(840\) | 1.26080e8 | + | 2.86046e8i | 0.212720 | + | 0.482612i | ||||
\(841\) | −3.06089e8 | − | 2.22387e8i | −0.514588 | − | 0.373870i | ||||
\(842\) | 3.76380e8 | − | 7.38687e8i | 0.630507 | − | 1.23744i | ||||
\(843\) | 2.74681e7 | − | 2.74681e7i | 0.0458507 | − | 0.0458507i | ||||
\(844\) | 5.90496e8 | − | 1.91864e8i | 0.982177 | − | 0.319129i | ||||
\(845\) | −3.65787e7 | + | 6.51487e8i | −0.0606259 | + | 1.07978i | ||||
\(846\) | 7.87121e6 | − | 2.42251e7i | 0.0129996 | − | 0.0400087i | ||||
\(847\) | −4.87565e7 | + | 2.48427e7i | −0.0802384 | + | 0.0408835i | ||||
\(848\) | −3.36787e8 | + | 2.12639e9i | −0.552290 | + | 3.48702i | ||||
\(849\) | 3.17776e7i | 0.0519275i | ||||||||
\(850\) | 2.70968e8 | − | 5.54878e7i | 0.441226 | − | 0.0903526i | ||||
\(851\) | 2.20841e8 | 0.358337 | ||||||||
\(852\) | −3.61535e8 | − | 5.72615e7i | −0.584563 | − | 0.0925857i | ||||
\(853\) | 3.90663e8 | + | 7.66720e8i | 0.629442 | + | 1.23535i | 0.956882 | + | 0.290477i | \(0.0938140\pi\) |
−0.327440 | + | 0.944872i | \(0.606186\pi\) | |||||||
\(854\) | −9.91186e8 | − | 3.22056e8i | −1.59141 | − | 0.517080i | ||||
\(855\) | −8.81811e7 | − | 7.19536e7i | −0.141084 | − | 0.115121i | ||||
\(856\) | 6.21015e8 | + | 1.91129e9i | 0.990105 | + | 3.04723i | ||||
\(857\) | 2.08452e8 | + | 2.08452e8i | 0.331180 | + | 0.331180i | 0.853035 | − | 0.521854i | \(-0.174760\pi\) |
−0.521854 | + | 0.853035i | \(0.674760\pi\) | |||||||
\(858\) | −2.22316e8 | − | 1.13276e8i | −0.351972 | − | 0.179339i | ||||
\(859\) | 3.29298e8 | − | 4.53240e8i | 0.519530 | − | 0.715071i | −0.465960 | − | 0.884806i | \(-0.654291\pi\) |
0.985490 | + | 0.169735i | \(0.0542910\pi\) | |||||||
\(860\) | −2.79450e7 | − | 2.75764e8i | −0.0439349 | − | 0.433553i | ||||
\(861\) | 3.61986e7 | − | 2.62998e7i | 0.0567130 | − | 0.0412044i | ||||
\(862\) | 7.50772e7 | + | 4.74019e8i | 0.117216 | + | 0.740072i | ||||
\(863\) | −5.58222e8 | + | 8.84136e7i | −0.868509 | + | 0.137558i | −0.574758 | − | 0.818324i | \(-0.694904\pi\) |
−0.293751 | + | 0.955882i | \(0.594904\pi\) | |||||||
\(864\) | 2.71202e8 | + | 3.73278e8i | 0.420487 | + | 0.578750i | ||||
\(865\) | −1.06494e8 | − | 6.20147e7i | −0.164542 | − | 0.0958179i | ||||
\(866\) | 1.56055e9 | + | 1.13381e9i | 2.40283 | + | 1.74576i | ||||
\(867\) | −3.92598e7 | + | 7.70516e7i | −0.0602408 | + | 0.118229i | ||||
\(868\) | 2.59187e9 | − | 2.59187e9i | 3.96327 | − | 3.96327i | ||||
\(869\) | −5.79991e8 | + | 1.88451e8i | −0.883817 | + | 0.287169i | ||||
\(870\) | 9.80492e7 | + | 3.80575e7i | 0.148897 | + | 0.0577940i | ||||
\(871\) | 3.05552e7 | − | 9.40393e7i | 0.0462414 | − | 0.142316i | ||||
\(872\) | 2.22742e9 | − | 1.13493e9i | 3.35933 | − | 1.71167i | ||||
\(873\) | −7.05988e7 | + | 4.45743e8i | −0.106110 | + | 0.669949i | ||||
\(874\) | 9.85135e7i | 0.147558i | ||||||||
\(875\) | −8.22343e8 | − | 2.77400e8i | −1.22752 | − | 0.414079i | ||||
\(876\) | 2.89856e8 | 0.431191 | ||||||||
\(877\) | −1.14636e9 | − | 1.81565e8i | −1.69950 | − | 0.269175i | −0.770015 | − | 0.638026i | \(-0.779751\pi\) |
−0.929488 | + | 0.368852i | \(0.879751\pi\) | |||||||
\(878\) | 9.39981e7 | + | 1.84482e8i | 0.138879 | + | 0.272565i | ||||
\(879\) | 9.09550e7 | + | 2.95531e7i | 0.133925 | + | 0.0435147i | ||||
\(880\) | −7.40107e8 | + | 1.90677e9i | −1.08604 | + | 2.79802i | ||||
\(881\) | 4.21503e8 | + | 1.29725e9i | 0.616415 | + | 1.89713i | 0.377000 | + | 0.926213i | \(0.376956\pi\) |
0.239415 | + | 0.970917i | \(0.423044\pi\) | |||||||
\(882\) | 6.06684e8 | + | 6.06684e8i | 0.884212 | + | 0.884212i | ||||
\(883\) | 4.59887e8 | + | 2.34324e8i | 0.667988 | + | 0.340357i | 0.754882 | − | 0.655861i | \(-0.227694\pi\) |
−0.0868937 | + | 0.996218i | \(0.527694\pi\) | |||||||
\(884\) | 3.55977e8 | − | 4.89961e8i | 0.515306 | − | 0.709258i | ||||
\(885\) | −7.02232e7 | + | 1.20590e8i | −0.101310 | + | 0.173973i | ||||
\(886\) | 1.83378e9 | − | 1.33232e9i | 2.63661 | − | 1.91561i | ||||
\(887\) | −1.16341e8 | − | 7.34549e8i | −0.166710 | − | 1.05257i | −0.919150 | − | 0.393907i | \(-0.871123\pi\) |
0.752440 | − | 0.658661i | \(-0.228877\pi\) | |||||||
\(888\) | −2.38919e8 | + | 3.78410e7i | −0.341202 | + | 0.0540411i | ||||
\(889\) | −7.44448e7 | − | 1.02464e8i | −0.105957 | − | 0.145837i | ||||
\(890\) | 1.06954e9 | − | 1.08384e8i | 1.51715 | − | 0.153743i | ||||
\(891\) | −5.56866e8 | − | 4.04587e8i | −0.787259 | − | 0.571977i | ||||
\(892\) | −6.95630e8 | + | 1.36525e9i | −0.980130 | + | 1.92361i | ||||
\(893\) | −2.13452e6 | + | 2.13452e6i | −0.00299741 | + | 0.00299741i | ||||
\(894\) | 1.35710e8 | − | 4.40949e7i | 0.189933 | − | 0.0617129i | ||||
\(895\) | −1.03154e7 | + | 1.26418e7i | −0.0143885 | + | 0.0176335i | ||||
\(896\) | 3.03591e8 | − | 9.34358e8i | 0.422051 | − | 1.29894i | ||||
\(897\) | −5.51507e7 | + | 2.81007e7i | −0.0764141 | + | 0.0389350i | ||||
\(898\) | −8.86098e7 | + | 5.59460e8i | −0.122364 | + | 0.772574i | ||||
\(899\) | − | 7.47288e8i | − | 1.02851i | ||||||
\(900\) | −1.80193e9 | − | 2.02984e8i | −2.47178 | − | 0.278442i | ||||
\(901\) | −2.13059e8 | −0.291290 | ||||||||
\(902\) | 5.42000e8 | + | 8.58444e7i | 0.738550 | + | 0.116975i | ||||
\(903\) | 1.04676e7 | + | 2.05439e7i | 0.0142163 | + | 0.0279010i | ||||
\(904\) | −3.57488e9 | − | 1.16155e9i | −4.83901 | − | 1.57229i | ||||
\(905\) | 4.52430e8 | + | 2.54024e7i | 0.610388 | + | 0.0342711i | ||||
\(906\) | 7.30269e7 | + | 2.24754e8i | 0.0981971 | + | 0.302220i | ||||
\(907\) | −4.15273e8 | − | 4.15273e8i | −0.556560 | − | 0.556560i | 0.371766 | − | 0.928326i | \(-0.378752\pi\) |
−0.928326 | + | 0.371766i | \(0.878752\pi\) | |||||||
\(908\) | −1.92099e9 | − | 9.78792e8i | −2.56606 | − | 1.30747i | ||||
\(909\) | 4.47540e8 | − | 6.15986e8i | 0.595854 | − | 0.820123i | ||||
\(910\) | −2.42409e9 | + | 1.06847e9i | −3.21681 | + | 1.41787i | ||||
\(911\) | 6.84469e8 | − | 4.97296e8i | 0.905313 | − | 0.657748i | −0.0345124 | − | 0.999404i | \(-0.510988\pi\) |
0.939825 | + | 0.341656i | \(0.110988\pi\) | |||||||
\(912\) | −9.00569e6 | − | 5.68597e7i | −0.0118722 | − | 0.0749583i | ||||
\(913\) | −5.87941e8 | + | 9.31206e7i | −0.772540 | + | 0.122358i | ||||
\(914\) | −6.87375e8 | − | 9.46091e8i | −0.900234 | − | 1.23907i | ||||
\(915\) | −5.52154e7 | + | 4.93447e7i | −0.0720771 | + | 0.0644136i | ||||
\(916\) | 3.79017e8 | + | 2.75372e8i | 0.493142 | + | 0.358289i | ||||
\(917\) | 4.51469e8 | − | 8.86058e8i | 0.585490 | − | 1.14909i | ||||
\(918\) | −6.86732e7 | + | 6.86732e7i | −0.0887686 | + | 0.0887686i | ||||
\(919\) | −1.22899e9 | + | 3.99324e8i | −1.58344 | + | 0.514492i | −0.962941 | − | 0.269713i | \(-0.913071\pi\) |
−0.620502 | + | 0.784205i | \(0.713071\pi\) | |||||||
\(920\) | 5.15015e8 | + | 7.99563e8i | 0.661388 | + | 1.02681i | ||||
\(921\) | −6.97542e6 | + | 2.14681e7i | −0.00892877 | + | 0.0274799i | ||||
\(922\) | −2.13952e9 | + | 1.09014e9i | −2.72976 | + | 1.39088i | ||||
\(923\) | 2.94041e8 | − | 1.85650e9i | 0.373940 | − | 2.36097i | ||||
\(924\) | − | 3.77544e8i | − | 0.478577i | ||||||
\(925\) | 3.69957e8 | − | 5.60492e8i | 0.467441 | − | 0.708180i | ||||
\(926\) | 9.29909e8 | 1.17114 | ||||||||
\(927\) | −9.31367e7 | − | 1.47514e7i | −0.116918 | − | 0.0185180i | ||||
\(928\) | −5.61749e8 | − | 1.10249e9i | −0.702907 | − | 1.37953i | ||||
\(929\) | 2.38900e8 | + | 7.76233e7i | 0.297968 | + | 0.0968156i | 0.454186 | − | 0.890907i | \(-0.349930\pi\) |
−0.156218 | + | 0.987723i | \(0.549930\pi\) | |||||||
\(930\) | −9.26624e7 | − | 3.51050e8i | −0.115201 | − | 0.436435i | ||||
\(931\) | −3.14207e7 | − | 9.67030e7i | −0.0389374 | − | 0.119837i | ||||
\(932\) | 2.17919e9 | + | 2.17919e9i | 2.69183 | + | 2.69183i | ||||
\(933\) | 9.62856e6 | + | 4.90600e6i | 0.0118554 | + | 0.00604063i | ||||
\(934\) | −1.47397e8 | + | 2.02874e8i | −0.180904 | + | 0.248992i | ||||
\(935\) | −1.97836e8 | − | 4.28228e7i | −0.242031 | − | 0.0523890i | ||||
\(936\) | −2.71339e9 | + | 1.97139e9i | −3.30890 | + | 2.40406i | ||||
\(937\) | −1.22237e8 | − | 7.71777e8i | −0.148589 | − | 0.938152i | −0.943487 | − | 0.331409i | \(-0.892476\pi\) |
0.794899 | − | 0.606742i | \(-0.207524\pi\) | |||||||
\(938\) | 2.06007e8 | − | 3.26283e7i | 0.249617 | − | 0.0395354i | ||||
\(939\) | −4.11521e7 | − | 5.66411e7i | −0.0497045 | − | 0.0684124i | ||||
\(940\) | −1.01749e7 | + | 4.70067e7i | −0.0122503 | + | 0.0565948i | ||||
\(941\) | −9.39694e8 | − | 6.82728e8i | −1.12776 | − | 0.819367i | −0.142395 | − | 0.989810i | \(-0.545480\pi\) |
−0.985368 | + | 0.170443i | \(0.945480\pi\) | |||||||
\(942\) | 1.57309e8 | − | 3.08737e8i | 0.188192 | − | 0.369348i | ||||
\(943\) | 9.62599e7 | − | 9.62599e7i | 0.114792 | − | 0.114792i | ||||
\(944\) | 3.32088e9 | − | 1.07902e9i | 3.94764 | − | 1.28267i | ||||
\(945\) | 2.94642e8 | − | 7.77730e7i | 0.349139 | − | 0.0921581i | ||||
\(946\) | −8.73836e7 | + | 2.68939e8i | −0.103218 | + | 0.317673i | ||||
\(947\) | 1.00642e9 | − | 5.12799e8i | 1.18503 | − | 0.603805i | 0.253457 | − | 0.967347i | \(-0.418432\pi\) |
0.931578 | + | 0.363541i | \(0.118432\pi\) | |||||||
\(948\) | 4.27807e7 | − | 2.70107e8i | 0.0502138 | − | 0.317037i | ||||
\(949\) | 1.48842e9i | 1.74152i | ||||||||
\(950\) | 2.50026e8 | + | 1.65032e8i | 0.291618 | + | 0.192485i | ||||
\(951\) | −1.73392e8 | −0.201598 | ||||||||
\(952\) | 7.64564e8 | + | 1.21095e8i | 0.886141 | + | 0.140351i | ||||
\(953\) | 3.48955e8 | + | 6.84862e8i | 0.403172 | + | 0.791270i | 0.999938 | − | 0.0111457i | \(-0.00354787\pi\) |
−0.596766 | + | 0.802415i | \(0.703548\pi\) | |||||||
\(954\) | 1.85193e9 | + | 6.01729e8i | 2.13295 | + | 0.693037i | ||||
\(955\) | −2.60395e8 | + | 1.67726e8i | −0.298966 | + | 0.192570i | ||||
\(956\) | −3.88848e8 | − | 1.19675e9i | −0.445048 | − | 1.36972i | ||||
\(957\) | −5.44268e7 | − | 5.44268e7i | −0.0620979 | − | 0.0620979i | ||||
\(958\) | −9.25013e8 | − | 4.71318e8i | −1.05209 | − | 0.536065i | ||||
\(959\) | −6.21323e8 | + | 8.55178e8i | −0.704469 | + | 0.969618i | ||||
\(960\) | −1.59752e8 | − | 1.78758e8i | −0.180565 | − | 0.202047i | ||||
\(961\) | −1.36900e9 | + | 9.94635e8i | −1.54253 | + | 1.12071i | ||||
\(962\) | −3.20684e8 | − | 2.02472e9i | −0.360207 | − | 2.27425i | ||||
\(963\) | 9.57798e8 | − | 1.51700e8i | 1.07249 | − | 0.169866i | ||||
\(964\) | 1.03197e9 | + | 1.42039e9i | 1.15196 | + | 1.58554i | ||||
\(965\) | −6.64804e7 | − | 1.50828e8i | −0.0739795 | − | 0.167842i | ||||
\(966\) | −1.05630e8 | − | 7.67446e7i | −0.117181 | − | 0.0851367i | ||||
\(967\) | −5.20685e8 | + | 1.02190e9i | −0.575832 | + | 1.13013i | 0.400990 | + | 0.916082i | \(0.368666\pi\) |
−0.976822 | + | 0.214052i | \(0.931334\pi\) | |||||||
\(968\) | 1.28948e8 | − | 1.28948e8i | 0.142163 | − | 0.142163i | ||||
\(969\) | 5.41836e6 | − | 1.76053e6i | 0.00595520 | − | 0.00193496i | ||||
\(970\) | 6.65930e7 | − | 1.18606e9i | 0.0729648 | − | 1.29954i | ||||
\(971\) | 8.52093e7 | − | 2.62247e8i | 0.0930742 | − | 0.286453i | −0.893673 | − | 0.448719i | \(-0.851880\pi\) |
0.986747 | + | 0.162266i | \(0.0518804\pi\) | |||||||
\(972\) | 8.53806e8 | − | 4.35036e8i | 0.929738 | − | 0.473725i | ||||
\(973\) | 9.31258e7 | − | 5.87973e8i | 0.101095 | − | 0.638291i | ||||
\(974\) | 3.12400e9i | 3.38091i | ||||||||
\(975\) | −2.10704e7 | + | 1.87046e8i | −0.0227331 | + | 0.201807i | ||||
\(976\) | 1.85295e9 | 1.99303 | ||||||||
\(977\) | 9.20157e8 | + | 1.45739e8i | 0.986684 | + | 0.156275i | 0.628864 | − | 0.777515i | \(-0.283520\pi\) |
0.357820 | + | 0.933791i | \(0.383520\pi\) | |||||||
\(978\) | 1.94596e8 | + | 3.81916e8i | 0.208026 | + | 0.408273i | ||||
\(979\) | −7.48228e8 | − | 2.43114e8i | −0.797418 | − | 0.259097i | ||||
\(980\) | −1.25518e9 | − | 1.02420e9i | −1.33361 | − | 1.08819i | ||||
\(981\) | −3.72768e8 | − | 1.14726e9i | −0.394849 | − | 1.21522i | ||||
\(982\) | 1.04259e9 | + | 1.04259e9i | 1.10098 | + | 1.10098i | ||||
\(983\) | −5.87073e8 | − | 2.99129e8i | −0.618061 | − | 0.314918i | 0.116779 | − | 0.993158i | \(-0.462743\pi\) |
−0.734841 | + | 0.678240i | \(0.762743\pi\) | |||||||
\(984\) | −8.76455e7 | + | 1.20634e8i | −0.0919908 | + | 0.126614i | ||||
\(985\) | 6.32474e7 | + | 6.24131e8i | 0.0661811 | + | 0.653081i | ||||
\(986\) | 2.10708e8 | − | 1.53088e8i | 0.219811 | − | 0.159702i | ||||
\(987\) | −625866. | − | 3.95156e6i | −0.000650924 | − | 0.00410977i | ||||
\(988\) | 6.47887e8 | − | 1.02615e8i | 0.671782 | − | 0.106400i | ||||
\(989\) | 4.12332e7 | + | 5.67526e7i | 0.0426244 | + | 0.0586674i | ||||
\(990\) | 1.59867e9 | + | 9.30957e8i | 1.64761 | + | 0.959454i | ||||
\(991\) | −1.50197e9 | − | 1.09125e9i | −1.54327 | − | 1.12125i | −0.948245 | − | 0.317541i | \(-0.897143\pi\) |
−0.595023 | − | 0.803709i | \(-0.702857\pi\) | |||||||
\(992\) | −1.93919e9 | + | 3.80587e9i | −1.98648 | + | 3.89869i | ||||
\(993\) | −1.65416e8 | + | 1.65416e8i | −0.168939 | + | 0.168939i | ||||
\(994\) | 3.77086e9 | − | 1.22523e9i | 3.83956 | − | 1.24755i | ||||
\(995\) | −8.45102e8 | − | 3.28024e8i | −0.857906 | − | 0.332994i | ||||
\(996\) | 8.24890e7 | − | 2.53875e8i | 0.0834868 | − | 0.256946i | ||||
\(997\) | 8.41268e8 | − | 4.28647e8i | 0.848885 | − | 0.432528i | 0.0252719 | − | 0.999681i | \(-0.491955\pi\) |
0.823613 | + | 0.567152i | \(0.191955\pi\) | |||||||
\(998\) | −3.21175e8 | + | 2.02782e9i | −0.323110 | + | 2.04004i | ||||
\(999\) | 2.35810e8i | 0.236519i |
(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 | 25.7.f.a.2.14 | ✓ | 112 | |
25.13 | odd | 20 | inner | 25.7.f.a.13.14 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.7.f.a.2.14 | ✓ | 112 | 1.1 | even | 1 | trivial | |
25.7.f.a.13.14 | yes | 112 | 25.13 | odd | 20 | inner |