Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(97,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.97");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.h (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: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 172.3 | ||
Character | \(\chi\) | \(=\) | 201.172 |
Dual form | 201.3.h.b.97.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.78358 | − | 1.60710i | −1.39179 | − | 0.803551i | −0.398277 | − | 0.917265i | \(-0.630392\pi\) |
−0.993513 | + | 0.113715i | \(0.963725\pi\) | |||||||
\(3\) | − | 1.73205i | − | 0.577350i | ||||||
\(4\) | 3.16555 | + | 5.48289i | 0.791387 | + | 1.37072i | ||||
\(5\) | − | 6.80030i | − | 1.36006i | −0.733184 | − | 0.680030i | \(-0.761967\pi\) | ||
0.733184 | − | 0.680030i | \(-0.238033\pi\) | |||||||
\(6\) | −2.78358 | + | 4.82130i | −0.463930 | + | 0.803551i | ||||
\(7\) | 9.81487 | − | 5.66662i | 1.40212 | − | 0.809517i | 0.407514 | − | 0.913199i | \(-0.366396\pi\) |
0.994611 | + | 0.103682i | \(0.0330623\pi\) | |||||||
\(8\) | − | 7.49262i | − | 0.936577i | ||||||
\(9\) | −3.00000 | −0.333333 | ||||||||
\(10\) | −10.9288 | + | 18.9292i | −1.09288 | + | 1.89292i | ||||
\(11\) | 14.2778 | − | 8.24332i | 1.29799 | − | 0.749393i | 0.317930 | − | 0.948114i | \(-0.397012\pi\) |
0.980056 | + | 0.198721i | \(0.0636789\pi\) | |||||||
\(12\) | 9.49665 | − | 5.48289i | 0.791387 | − | 0.456908i | ||||
\(13\) | 14.8562 | + | 8.57724i | 1.14279 | + | 0.659788i | 0.947119 | − | 0.320883i | \(-0.103980\pi\) |
0.195667 | + | 0.980670i | \(0.437313\pi\) | |||||||
\(14\) | −36.4273 | −2.60195 | ||||||||
\(15\) | −11.7785 | −0.785231 | ||||||||
\(16\) | 0.620797 | − | 1.07525i | 0.0387998 | − | 0.0672033i | ||||
\(17\) | 11.5774 | − | 20.0526i | 0.681021 | − | 1.17956i | −0.293649 | − | 0.955913i | \(-0.594870\pi\) |
0.974670 | − | 0.223649i | \(-0.0717970\pi\) | |||||||
\(18\) | 8.35074 | + | 4.82130i | 0.463930 | + | 0.267850i | ||||
\(19\) | 1.69094 | − | 2.92880i | 0.0889970 | − | 0.154147i | −0.818090 | − | 0.575090i | \(-0.804967\pi\) |
0.907087 | + | 0.420942i | \(0.138301\pi\) | |||||||
\(20\) | 37.2853 | − | 21.5267i | 1.86427 | − | 1.07633i | ||||
\(21\) | −9.81487 | − | 16.9999i | −0.467375 | − | 0.809517i | ||||
\(22\) | −52.9914 | −2.40870 | ||||||||
\(23\) | −20.3759 | + | 35.2921i | −0.885909 | + | 1.53444i | −0.0412415 | + | 0.999149i | \(0.513131\pi\) |
−0.844668 | + | 0.535291i | \(0.820202\pi\) | |||||||
\(24\) | −12.9776 | −0.540733 | ||||||||
\(25\) | −21.2441 | −0.849764 | ||||||||
\(26\) | −27.5690 | − | 47.7509i | −1.06035 | − | 1.83657i | ||||
\(27\) | 5.19615i | 0.192450i | ||||||||
\(28\) | 62.1389 | + | 35.8759i | 2.21925 | + | 1.28128i | ||||
\(29\) | 3.45557 | + | 5.98522i | 0.119158 | + | 0.206387i | 0.919434 | − | 0.393244i | \(-0.128647\pi\) |
−0.800277 | + | 0.599631i | \(0.795314\pi\) | |||||||
\(30\) | 32.7863 | + | 18.9292i | 1.09288 | + | 0.630973i | ||||
\(31\) | −32.4604 | + | 18.7410i | −1.04711 | + | 0.604549i | −0.921839 | − | 0.387573i | \(-0.873313\pi\) |
−0.125271 | + | 0.992123i | \(0.539980\pi\) | |||||||
\(32\) | −29.4113 | + | 16.9806i | −0.919102 | + | 0.530644i | ||||
\(33\) | −14.2778 | − | 24.7300i | −0.432662 | − | 0.749393i | ||||
\(34\) | −64.4530 | + | 37.2120i | −1.89568 | + | 1.09447i | ||||
\(35\) | −38.5347 | − | 66.7441i | −1.10099 | − | 1.90697i | ||||
\(36\) | −9.49665 | − | 16.4487i | −0.263796 | − | 0.456908i | ||||
\(37\) | −13.3240 | + | 23.0778i | −0.360108 | + | 0.623725i | −0.987978 | − | 0.154593i | \(-0.950593\pi\) |
0.627870 | + | 0.778318i | \(0.283927\pi\) | |||||||
\(38\) | −9.41375 | + | 5.43503i | −0.247730 | + | 0.143027i | ||||
\(39\) | 14.8562 | − | 25.7317i | 0.380929 | − | 0.659788i | ||||
\(40\) | −50.9521 | −1.27380 | ||||||||
\(41\) | 16.0419 | − | 9.26178i | 0.391265 | − | 0.225897i | −0.291443 | − | 0.956588i | \(-0.594135\pi\) |
0.682708 | + | 0.730691i | \(0.260802\pi\) | |||||||
\(42\) | 63.0940i | 1.50224i | ||||||||
\(43\) | 0.773007i | 0.0179769i | 0.999960 | + | 0.00898845i | \(0.00286115\pi\) | ||||
−0.999960 | + | 0.00898845i | \(0.997139\pi\) | |||||||
\(44\) | 90.3945 | + | 52.1893i | 2.05442 | + | 1.18612i | ||||
\(45\) | 20.4009i | 0.453353i | ||||||||
\(46\) | 113.436 | − | 65.4923i | 2.46600 | − | 1.42375i | ||||
\(47\) | −7.84438 | − | 13.5869i | −0.166902 | − | 0.289082i | 0.770427 | − | 0.637528i | \(-0.220043\pi\) |
−0.937329 | + | 0.348446i | \(0.886710\pi\) | |||||||
\(48\) | −1.86239 | − | 1.07525i | −0.0387998 | − | 0.0224011i | ||||
\(49\) | 39.7212 | − | 68.7991i | 0.810636 | − | 1.40406i | ||||
\(50\) | 59.1347 | + | 34.1414i | 1.18269 | + | 0.682828i | ||||
\(51\) | −34.7321 | − | 20.0526i | −0.681021 | − | 0.393188i | ||||
\(52\) | 108.607i | 2.08859i | ||||||||
\(53\) | 70.3521i | 1.32740i | 0.748000 | + | 0.663699i | \(0.231014\pi\) | ||||
−0.748000 | + | 0.663699i | \(0.768986\pi\) | |||||||
\(54\) | 8.35074 | − | 14.4639i | 0.154643 | − | 0.267850i | ||||
\(55\) | −56.0571 | − | 97.0937i | −1.01922 | − | 1.76534i | ||||
\(56\) | −42.4578 | − | 73.5391i | −0.758176 | − | 1.31320i | ||||
\(57\) | −5.07283 | − | 2.92880i | −0.0889970 | − | 0.0513824i | ||||
\(58\) | − | 22.2138i | − | 0.382997i | ||||||
\(59\) | −5.22640 | −0.0885831 | −0.0442915 | − | 0.999019i | \(-0.514103\pi\) | ||||
−0.0442915 | + | 0.999019i | \(0.514103\pi\) | |||||||
\(60\) | −37.2853 | − | 64.5801i | −0.621422 | − | 1.07633i | ||||
\(61\) | −15.8223 | − | 9.13503i | −0.259383 | − | 0.149755i | 0.364670 | − | 0.931137i | \(-0.381182\pi\) |
−0.624053 | + | 0.781382i | \(0.714515\pi\) | |||||||
\(62\) | 120.475 | 1.94314 | ||||||||
\(63\) | −29.4446 | + | 16.9999i | −0.467375 | + | 0.269839i | ||||
\(64\) | 104.192 | 1.62800 | ||||||||
\(65\) | 58.3278 | − | 101.027i | 0.897351 | − | 1.55426i | ||||
\(66\) | 91.7838i | 1.39066i | ||||||||
\(67\) | 64.6341 | + | 17.6473i | 0.964689 | + | 0.263393i | ||||
\(68\) | 146.595 | 2.15580 | ||||||||
\(69\) | 61.1277 | + | 35.2921i | 0.885909 | + | 0.511480i | ||||
\(70\) | 247.717i | 3.53881i | ||||||||
\(71\) | 54.5452 | + | 94.4750i | 0.768242 | + | 1.33063i | 0.938516 | + | 0.345237i | \(0.112201\pi\) |
−0.170274 | + | 0.985397i | \(0.554465\pi\) | |||||||
\(72\) | 22.4779i | 0.312192i | ||||||||
\(73\) | −41.0503 | + | 71.1011i | −0.562332 | + | 0.973988i | 0.434960 | + | 0.900450i | \(0.356762\pi\) |
−0.997292 | + | 0.0735384i | \(0.976571\pi\) | |||||||
\(74\) | 74.1768 | − | 42.8260i | 1.00239 | − | 0.578730i | ||||
\(75\) | 36.7959i | 0.490611i | ||||||||
\(76\) | 21.4110 | 0.281724 | ||||||||
\(77\) | 93.4235 | − | 161.814i | 1.21329 | − | 2.10148i | ||||
\(78\) | −82.7069 | + | 47.7509i | −1.06035 | + | 0.612191i | ||||
\(79\) | 99.9083 | − | 57.6821i | 1.26466 | − | 0.730153i | 0.290689 | − | 0.956818i | \(-0.406116\pi\) |
0.973973 | + | 0.226665i | \(0.0727822\pi\) | |||||||
\(80\) | −7.31204 | − | 4.22161i | −0.0914005 | − | 0.0527701i | ||||
\(81\) | 9.00000 | 0.111111 | ||||||||
\(82\) | −59.5385 | −0.726079 | ||||||||
\(83\) | −48.3092 | + | 83.6740i | −0.582038 | + | 1.00812i | 0.413199 | + | 0.910641i | \(0.364411\pi\) |
−0.995238 | + | 0.0974793i | \(0.968922\pi\) | |||||||
\(84\) | 62.1389 | − | 107.628i | 0.739749 | − | 1.28128i | ||||
\(85\) | −136.363 | − | 78.7295i | −1.60428 | − | 0.926229i | ||||
\(86\) | 1.24230 | − | 2.15173i | 0.0144454 | − | 0.0250201i | ||||
\(87\) | 10.3667 | − | 5.98522i | 0.119158 | − | 0.0687956i | ||||
\(88\) | −61.7641 | − | 106.978i | −0.701864 | − | 1.21566i | ||||
\(89\) | −130.895 | −1.47074 | −0.735368 | − | 0.677668i | \(-0.762991\pi\) | ||||
−0.735368 | + | 0.677668i | \(0.762991\pi\) | |||||||
\(90\) | 32.7863 | − | 56.7876i | 0.364292 | − | 0.630973i | ||||
\(91\) | 194.416 | 2.13644 | ||||||||
\(92\) | −258.004 | −2.80439 | ||||||||
\(93\) | 32.4604 | + | 56.2231i | 0.349037 | + | 0.604549i | ||||
\(94\) | 50.4268i | 0.536456i | ||||||||
\(95\) | −19.9167 | − | 11.4989i | −0.209650 | − | 0.121041i | ||||
\(96\) | 29.4113 | + | 50.9418i | 0.306367 | + | 0.530644i | ||||
\(97\) | −49.6133 | − | 28.6442i | −0.511477 | − | 0.295302i | 0.221963 | − | 0.975055i | \(-0.428753\pi\) |
−0.733441 | + | 0.679753i | \(0.762087\pi\) | |||||||
\(98\) | −221.134 | + | 127.672i | −2.25647 | + | 1.30277i | ||||
\(99\) | −42.8335 | + | 24.7300i | −0.432662 | + | 0.249798i | ||||
\(100\) | −67.2492 | − | 116.479i | −0.672492 | − | 1.16479i | ||||
\(101\) | −47.3196 | + | 27.3200i | −0.468511 | + | 0.270495i | −0.715616 | − | 0.698494i | \(-0.753854\pi\) |
0.247105 | + | 0.968989i | \(0.420521\pi\) | |||||||
\(102\) | 64.4530 | + | 111.636i | 0.631892 | + | 1.09447i | ||||
\(103\) | −67.9445 | − | 117.683i | −0.659656 | − | 1.14256i | −0.980705 | − | 0.195494i | \(-0.937369\pi\) |
0.321049 | − | 0.947062i | \(-0.395964\pi\) | |||||||
\(104\) | 64.2660 | − | 111.312i | 0.617942 | − | 1.07031i | ||||
\(105\) | −115.604 | + | 66.7441i | −1.10099 | + | 0.635658i | ||||
\(106\) | 113.063 | − | 195.831i | 1.06663 | − | 1.84746i | ||||
\(107\) | −104.370 | −0.975422 | −0.487711 | − | 0.873005i | \(-0.662168\pi\) | ||||
−0.487711 | + | 0.873005i | \(0.662168\pi\) | |||||||
\(108\) | −28.4899 | + | 16.4487i | −0.263796 | + | 0.152303i | ||||
\(109\) | 120.352i | 1.10415i | 0.833795 | + | 0.552074i | \(0.186163\pi\) | ||||
−0.833795 | + | 0.552074i | \(0.813837\pi\) | |||||||
\(110\) | 360.357i | 3.27598i | ||||||||
\(111\) | 39.9720 | + | 23.0778i | 0.360108 | + | 0.207908i | ||||
\(112\) | − | 14.0713i | − | 0.125637i | ||||||
\(113\) | −24.8672 | + | 14.3571i | −0.220063 | + | 0.127054i | −0.605980 | − | 0.795480i | \(-0.707219\pi\) |
0.385916 | + | 0.922534i | \(0.373885\pi\) | |||||||
\(114\) | 9.41375 | + | 16.3051i | 0.0825768 | + | 0.143027i | ||||
\(115\) | 239.997 | + | 138.562i | 2.08693 | + | 1.20489i | ||||
\(116\) | −21.8775 | + | 37.8930i | −0.188600 | + | 0.326664i | ||||
\(117\) | −44.5686 | − | 25.7317i | −0.380929 | − | 0.219929i | ||||
\(118\) | 14.5481 | + | 8.39935i | 0.123289 | + | 0.0711810i | ||||
\(119\) | − | 262.418i | − | 2.20519i | ||||||
\(120\) | 88.2516i | 0.735430i | ||||||||
\(121\) | 75.4047 | − | 130.605i | 0.623179 | − | 1.07938i | ||||
\(122\) | 29.3618 | + | 50.8562i | 0.240671 | + | 0.416854i | ||||
\(123\) | −16.0419 | − | 27.7854i | −0.130422 | − | 0.225897i | ||||
\(124\) | −205.510 | − | 118.651i | −1.65734 | − | 0.956865i | ||||
\(125\) | − | 25.5413i | − | 0.204330i | ||||||
\(126\) | 109.282 | 0.867317 | ||||||||
\(127\) | 77.2649 | + | 133.827i | 0.608385 | + | 1.05375i | 0.991507 | + | 0.130056i | \(0.0415158\pi\) |
−0.383121 | + | 0.923698i | \(0.625151\pi\) | |||||||
\(128\) | −172.381 | − | 99.5244i | −1.34673 | − | 0.777534i | ||||
\(129\) | 1.33889 | 0.0103790 | ||||||||
\(130\) | −324.720 | + | 187.477i | −2.49785 | + | 1.44213i | ||||
\(131\) | 47.6405 | 0.363668 | 0.181834 | − | 0.983329i | \(-0.441797\pi\) | ||||
0.181834 | + | 0.983329i | \(0.441797\pi\) | |||||||
\(132\) | 90.3945 | − | 156.568i | 0.684806 | − | 1.18612i | ||||
\(133\) | − | 38.3277i | − | 0.288178i | ||||||
\(134\) | −151.553 | − | 152.996i | −1.13099 | − | 1.14176i | ||||
\(135\) | 35.3354 | 0.261744 | ||||||||
\(136\) | −150.246 | − | 86.7447i | −1.10475 | − | 0.637829i | ||||
\(137\) | 248.742i | 1.81563i | 0.419366 | + | 0.907817i | \(0.362252\pi\) | ||||
−0.419366 | + | 0.907817i | \(0.637748\pi\) | |||||||
\(138\) | −113.436 | − | 196.477i | −0.822000 | − | 1.42375i | ||||
\(139\) | − | 96.6902i | − | 0.695613i | −0.937566 | − | 0.347807i | \(-0.886927\pi\) | ||
0.937566 | − | 0.347807i | \(-0.113073\pi\) | |||||||
\(140\) | 243.967 | − | 422.563i | 1.74262 | − | 3.01831i | ||||
\(141\) | −23.5331 | + | 13.5869i | −0.166902 | + | 0.0963607i | ||||
\(142\) | − | 350.638i | − | 2.46928i | ||||||
\(143\) | 282.820 | 1.97776 | ||||||||
\(144\) | −1.86239 | + | 3.22576i | −0.0129333 | + | 0.0224011i | ||||
\(145\) | 40.7013 | − | 23.4989i | 0.280699 | − | 0.162061i | ||||
\(146\) | 228.533 | − | 131.944i | 1.56530 | − | 0.903725i | ||||
\(147\) | −119.164 | − | 68.7991i | −0.810636 | − | 0.468021i | ||||
\(148\) | −168.711 | −1.13994 | ||||||||
\(149\) | −66.1803 | −0.444163 | −0.222082 | − | 0.975028i | \(-0.571285\pi\) | ||||
−0.222082 | + | 0.975028i | \(0.571285\pi\) | |||||||
\(150\) | 59.1347 | − | 102.424i | 0.394231 | − | 0.682828i | ||||
\(151\) | 21.9853 | − | 38.0796i | 0.145598 | − | 0.252183i | −0.783998 | − | 0.620763i | \(-0.786823\pi\) |
0.929596 | + | 0.368580i | \(0.120156\pi\) | |||||||
\(152\) | −21.9444 | − | 12.6696i | −0.144371 | − | 0.0833526i | ||||
\(153\) | −34.7321 | + | 60.1577i | −0.227007 | + | 0.393188i | ||||
\(154\) | −520.104 | + | 300.282i | −3.37730 | + | 1.94988i | ||||
\(155\) | 127.445 | + | 220.741i | 0.822224 | + | 1.42413i | ||||
\(156\) | 188.112 | 1.20585 | ||||||||
\(157\) | −45.5688 | + | 78.9275i | −0.290247 | + | 0.502723i | −0.973868 | − | 0.227115i | \(-0.927071\pi\) |
0.683621 | + | 0.729837i | \(0.260404\pi\) | |||||||
\(158\) | −370.804 | −2.34686 | ||||||||
\(159\) | 121.853 | 0.766373 | ||||||||
\(160\) | 115.473 | + | 200.006i | 0.721708 | + | 1.25003i | ||||
\(161\) | 461.850i | 2.86864i | ||||||||
\(162\) | −25.0522 | − | 14.4639i | −0.154643 | − | 0.0892834i | ||||
\(163\) | −112.468 | − | 194.800i | −0.689986 | − | 1.19509i | −0.971842 | − | 0.235634i | \(-0.924283\pi\) |
0.281856 | − | 0.959457i | \(-0.409050\pi\) | |||||||
\(164\) | 101.563 | + | 58.6373i | 0.619285 | + | 0.357544i | ||||
\(165\) | −168.171 | + | 97.0937i | −1.01922 | + | 0.588447i | ||||
\(166\) | 268.945 | − | 155.275i | 1.62015 | − | 0.935395i | ||||
\(167\) | −38.4494 | − | 66.5964i | −0.230236 | − | 0.398781i | 0.727641 | − | 0.685958i | \(-0.240617\pi\) |
−0.957878 | + | 0.287177i | \(0.907283\pi\) | |||||||
\(168\) | −127.373 | + | 73.5391i | −0.758176 | + | 0.437733i | ||||
\(169\) | 62.6380 | + | 108.492i | 0.370639 | + | 0.641966i | ||||
\(170\) | 253.053 | + | 438.300i | 1.48854 | + | 2.57823i | ||||
\(171\) | −5.07283 | + | 8.78640i | −0.0296657 | + | 0.0513824i | ||||
\(172\) | −4.23831 | + | 2.44699i | −0.0246414 | + | 0.0142267i | ||||
\(173\) | 18.5390 | − | 32.1105i | 0.107162 | − | 0.185610i | −0.807458 | − | 0.589926i | \(-0.799157\pi\) |
0.914619 | + | 0.404316i | \(0.132490\pi\) | |||||||
\(174\) | −38.4754 | −0.221123 | ||||||||
\(175\) | −208.508 | + | 120.382i | −1.19148 | + | 0.687898i | ||||
\(176\) | − | 20.4697i | − | 0.116305i | ||||||
\(177\) | 9.05239i | 0.0511435i | ||||||||
\(178\) | 364.358 | + | 210.362i | 2.04696 | + | 1.18181i | ||||
\(179\) | − | 62.5481i | − | 0.349431i | −0.984619 | − | 0.174715i | \(-0.944099\pi\) | ||
0.984619 | − | 0.174715i | \(-0.0559005\pi\) | |||||||
\(180\) | −111.856 | + | 64.5801i | −0.621422 | + | 0.358778i | ||||
\(181\) | 56.5192 | + | 97.8941i | 0.312261 | + | 0.540851i | 0.978851 | − | 0.204573i | \(-0.0655805\pi\) |
−0.666591 | + | 0.745424i | \(0.732247\pi\) | |||||||
\(182\) | −541.172 | − | 312.446i | −2.97347 | − | 1.71674i | ||||
\(183\) | −15.8223 | + | 27.4051i | −0.0864608 | + | 0.149755i | ||||
\(184\) | 264.430 | + | 152.669i | 1.43712 | + | 0.829723i | ||||
\(185\) | 156.936 | + | 90.6072i | 0.848304 | + | 0.489769i | ||||
\(186\) | − | 208.669i | − | 1.12187i | ||||||
\(187\) | − | 381.743i | − | 2.04141i | ||||||
\(188\) | 49.6635 | − | 86.0197i | 0.264168 | − | 0.457552i | ||||
\(189\) | 29.4446 | + | 50.9996i | 0.155792 | + | 0.269839i | ||||
\(190\) | 36.9599 | + | 64.0163i | 0.194526 | + | 0.336928i | ||||
\(191\) | 62.1550 | + | 35.8852i | 0.325419 | + | 0.187881i | 0.653805 | − | 0.756663i | \(-0.273172\pi\) |
−0.328387 | + | 0.944543i | \(0.606505\pi\) | |||||||
\(192\) | − | 180.466i | − | 0.939925i | ||||||
\(193\) | −151.760 | −0.786319 | −0.393160 | − | 0.919470i | \(-0.628618\pi\) | ||||
−0.393160 | + | 0.919470i | \(0.628618\pi\) | |||||||
\(194\) | 92.0684 | + | 159.467i | 0.474579 | + | 0.821996i | ||||
\(195\) | −174.983 | − | 101.027i | −0.897351 | − | 0.518086i | ||||
\(196\) | 502.957 | 2.56611 | ||||||||
\(197\) | −125.610 | + | 72.5211i | −0.637616 | + | 0.368128i | −0.783695 | − | 0.621145i | \(-0.786668\pi\) |
0.146080 | + | 0.989273i | \(0.453334\pi\) | |||||||
\(198\) | 158.974 | 0.802900 | ||||||||
\(199\) | 77.7249 | − | 134.623i | 0.390577 | − | 0.676500i | −0.601948 | − | 0.798535i | \(-0.705609\pi\) |
0.992526 | + | 0.122035i | \(0.0389421\pi\) | |||||||
\(200\) | 159.174i | 0.795870i | ||||||||
\(201\) | 30.5661 | − | 111.950i | 0.152070 | − | 0.556963i | ||||
\(202\) | 175.624 | 0.869425 | ||||||||
\(203\) | 67.8320 | + | 39.1628i | 0.334148 | + | 0.192920i | ||||
\(204\) | − | 253.909i | − | 1.24465i | ||||||
\(205\) | −62.9829 | − | 109.090i | −0.307234 | − | 0.532145i | ||||
\(206\) | 436.775i | 2.12027i | ||||||||
\(207\) | 61.1277 | − | 105.876i | 0.295303 | − | 0.511480i | ||||
\(208\) | 18.4454 | − | 10.6495i | 0.0886798 | − | 0.0511993i | ||||
\(209\) | − | 55.7559i | − | 0.266775i | ||||||
\(210\) | 429.058 | 2.04313 | ||||||||
\(211\) | −16.5350 | + | 28.6395i | −0.0783650 | + | 0.135732i | −0.902545 | − | 0.430596i | \(-0.858303\pi\) |
0.824180 | + | 0.566328i | \(0.191637\pi\) | |||||||
\(212\) | −385.733 | + | 222.703i | −1.81949 | + | 1.05049i | ||||
\(213\) | 163.635 | − | 94.4750i | 0.768242 | − | 0.443545i | ||||
\(214\) | 290.523 | + | 167.733i | 1.35758 | + | 0.783801i | ||||
\(215\) | 5.25668 | 0.0244497 | ||||||||
\(216\) | 38.9328 | 0.180244 | ||||||||
\(217\) | −212.397 | + | 367.882i | −0.978786 | + | 1.69531i | ||||
\(218\) | 193.418 | − | 335.010i | 0.887239 | − | 1.53674i | ||||
\(219\) | 123.151 | + | 71.1011i | 0.562332 | + | 0.324663i | ||||
\(220\) | 354.903 | − | 614.710i | 1.61319 | − | 2.79413i | ||||
\(221\) | 343.991 | − | 198.603i | 1.55652 | − | 0.898658i | ||||
\(222\) | −74.1768 | − | 128.478i | −0.334130 | − | 0.578730i | ||||
\(223\) | −11.0522 | −0.0495616 | −0.0247808 | − | 0.999693i | \(-0.507889\pi\) | ||||
−0.0247808 | + | 0.999693i | \(0.507889\pi\) | |||||||
\(224\) | −192.445 | + | 333.325i | −0.859131 | + | 1.48806i | ||||
\(225\) | 63.7323 | 0.283255 | ||||||||
\(226\) | 92.2930 | 0.408376 | ||||||||
\(227\) | 77.0061 | + | 133.378i | 0.339234 | + | 0.587570i | 0.984289 | − | 0.176566i | \(-0.0564989\pi\) |
−0.645055 | + | 0.764136i | \(0.723166\pi\) | |||||||
\(228\) | − | 37.0850i | − | 0.162654i | ||||||
\(229\) | −86.7614 | − | 50.0917i | −0.378871 | − | 0.218741i | 0.298456 | − | 0.954423i | \(-0.403528\pi\) |
−0.677327 | + | 0.735682i | \(0.736862\pi\) | |||||||
\(230\) | −445.367 | − | 771.399i | −1.93638 | − | 3.35391i | ||||
\(231\) | −280.271 | − | 161.814i | −1.21329 | − | 0.700495i | ||||
\(232\) | 44.8450 | − | 25.8913i | 0.193297 | − | 0.111600i | ||||
\(233\) | 383.256 | − | 221.273i | 1.64488 | − | 0.949670i | 0.665813 | − | 0.746119i | \(-0.268085\pi\) |
0.979064 | − | 0.203551i | \(-0.0652483\pi\) | |||||||
\(234\) | 82.7069 | + | 143.253i | 0.353448 | + | 0.612191i | ||||
\(235\) | −92.3947 | + | 53.3441i | −0.393169 | + | 0.226996i | ||||
\(236\) | −16.5444 | − | 28.6558i | −0.0701035 | − | 0.121423i | ||||
\(237\) | −99.9083 | − | 173.046i | −0.421554 | − | 0.730153i | ||||
\(238\) | −421.732 | + | 730.461i | −1.77198 | + | 3.06917i | ||||
\(239\) | 63.5317 | − | 36.6801i | 0.265823 | − | 0.153473i | −0.361165 | − | 0.932502i | \(-0.617621\pi\) |
0.626988 | + | 0.779029i | \(0.284288\pi\) | |||||||
\(240\) | −7.31204 | + | 12.6648i | −0.0304668 | + | 0.0527701i | ||||
\(241\) | −90.4804 | −0.375437 | −0.187719 | − | 0.982223i | \(-0.560109\pi\) | ||||
−0.187719 | + | 0.982223i | \(0.560109\pi\) | |||||||
\(242\) | −419.790 | + | 242.366i | −1.73467 | + | 1.00151i | ||||
\(243\) | − | 15.5885i | − | 0.0641500i | ||||||
\(244\) | − | 115.670i | − | 0.474055i | ||||||
\(245\) | −467.855 | − | 270.116i | −1.90961 | − | 1.10251i | ||||
\(246\) | 103.124i | 0.419202i | ||||||||
\(247\) | 50.2420 | − | 29.0072i | 0.203409 | − | 0.117438i | ||||
\(248\) | 140.419 | + | 243.214i | 0.566207 | + | 0.980700i | ||||
\(249\) | 144.928 | + | 83.6740i | 0.582038 | + | 0.336040i | ||||
\(250\) | −41.0474 | + | 71.0962i | −0.164190 | + | 0.284385i | ||||
\(251\) | −209.770 | − | 121.111i | −0.835736 | − | 0.482512i | 0.0200768 | − | 0.999798i | \(-0.493609\pi\) |
−0.855812 | + | 0.517286i | \(0.826942\pi\) | |||||||
\(252\) | −186.417 | − | 107.628i | −0.739749 | − | 0.427094i | ||||
\(253\) | 671.861i | 2.65558i | ||||||||
\(254\) | − | 496.690i | − | 1.95547i | ||||||
\(255\) | −136.363 | + | 236.188i | −0.534759 | + | 0.926229i | ||||
\(256\) | 111.508 | + | 193.137i | 0.435578 | + | 0.754443i | ||||
\(257\) | −0.725648 | − | 1.25686i | −0.00282353 | − | 0.00489050i | 0.864610 | − | 0.502443i | \(-0.167565\pi\) |
−0.867434 | + | 0.497553i | \(0.834232\pi\) | |||||||
\(258\) | −3.72690 | − | 2.15173i | −0.0144454 | − | 0.00834003i | ||||
\(259\) | 302.008i | 1.16605i | ||||||||
\(260\) | 738.558 | 2.84061 | ||||||||
\(261\) | −10.3667 | − | 17.9557i | −0.0397192 | − | 0.0687956i | ||||
\(262\) | −132.611 | − | 76.5630i | −0.506149 | − | 0.292225i | ||||
\(263\) | 374.978 | 1.42577 | 0.712886 | − | 0.701280i | \(-0.247388\pi\) | ||||
0.712886 | + | 0.701280i | \(0.247388\pi\) | |||||||
\(264\) | −185.292 | + | 106.978i | −0.701864 | + | 0.405222i | ||||
\(265\) | 478.415 | 1.80534 | ||||||||
\(266\) | −61.5965 | + | 106.688i | −0.231566 | + | 0.401084i | ||||
\(267\) | 226.718i | 0.849130i | ||||||||
\(268\) | 107.844 | + | 410.245i | 0.402403 | + | 1.53077i | ||||
\(269\) | −241.762 | −0.898745 | −0.449372 | − | 0.893345i | \(-0.648352\pi\) | ||||
−0.449372 | + | 0.893345i | \(0.648352\pi\) | |||||||
\(270\) | −98.3590 | − | 56.7876i | −0.364292 | − | 0.210324i | ||||
\(271\) | − | 200.316i | − | 0.739175i | −0.929196 | − | 0.369587i | \(-0.879499\pi\) | ||
0.929196 | − | 0.369587i | \(-0.120501\pi\) | |||||||
\(272\) | −14.3744 | − | 24.8972i | −0.0528470 | − | 0.0915337i | ||||
\(273\) | − | 336.738i | − | 1.23347i | ||||||
\(274\) | 399.753 | − | 692.393i | 1.45895 | − | 2.52698i | ||||
\(275\) | −303.320 | + | 175.122i | −1.10298 | + | 0.636807i | ||||
\(276\) | 446.876i | 1.61911i | ||||||||
\(277\) | −266.542 | −0.962244 | −0.481122 | − | 0.876654i | \(-0.659771\pi\) | ||||
−0.481122 | + | 0.876654i | \(0.659771\pi\) | |||||||
\(278\) | −155.391 | + | 269.145i | −0.558960 | + | 0.968148i | ||||
\(279\) | 97.3813 | − | 56.2231i | 0.349037 | − | 0.201516i | ||||
\(280\) | −500.088 | + | 288.726i | −1.78603 | + | 1.03116i | ||||
\(281\) | 130.414 | + | 75.2948i | 0.464108 | + | 0.267953i | 0.713770 | − | 0.700380i | \(-0.246986\pi\) |
−0.249662 | + | 0.968333i | \(0.580319\pi\) | |||||||
\(282\) | 87.3418 | 0.309723 | ||||||||
\(283\) | 98.8383 | 0.349252 | 0.174626 | − | 0.984635i | \(-0.444128\pi\) | ||||
0.174626 | + | 0.984635i | \(0.444128\pi\) | |||||||
\(284\) | −345.331 | + | 598.130i | −1.21595 | + | 2.10609i | ||||
\(285\) | −19.9167 | + | 34.4968i | −0.0698832 | + | 0.121041i | ||||
\(286\) | −787.252 | − | 454.520i | −2.75263 | − | 1.58923i | ||||
\(287\) | 104.966 | − | 181.807i | 0.365735 | − | 0.633472i | ||||
\(288\) | 88.2338 | − | 50.9418i | 0.306367 | − | 0.176881i | ||||
\(289\) | −123.570 | − | 214.030i | −0.427579 | − | 0.740588i | ||||
\(290\) | −151.061 | −0.520898 | ||||||||
\(291\) | −49.6133 | + | 85.9327i | −0.170492 | + | 0.295302i | ||||
\(292\) | −519.786 | −1.78009 | ||||||||
\(293\) | 320.171 | 1.09273 | 0.546367 | − | 0.837546i | \(-0.316010\pi\) | ||||
0.546367 | + | 0.837546i | \(0.316010\pi\) | |||||||
\(294\) | 221.134 | + | 383.016i | 0.752157 | + | 1.30277i | ||||
\(295\) | 35.5411i | 0.120478i | ||||||||
\(296\) | 172.913 | + | 99.8316i | 0.584167 | + | 0.337269i | ||||
\(297\) | 42.8335 | + | 74.1899i | 0.144221 | + | 0.249798i | ||||
\(298\) | 184.218 | + | 106.358i | 0.618182 | + | 0.356907i | ||||
\(299\) | −605.418 | + | 349.538i | −2.02481 | + | 1.16902i | ||||
\(300\) | −201.748 | + | 116.479i | −0.672492 | + | 0.388264i | ||||
\(301\) | 4.38034 | + | 7.58697i | 0.0145526 | + | 0.0252059i | ||||
\(302\) | −122.396 | + | 70.6652i | −0.405284 | + | 0.233991i | ||||
\(303\) | 47.3196 | + | 81.9599i | 0.156170 | + | 0.270495i | ||||
\(304\) | −2.09947 | − | 3.63638i | −0.00690614 | − | 0.0119618i | ||||
\(305\) | −62.1210 | + | 107.597i | −0.203675 | + | 0.352776i | ||||
\(306\) | 193.359 | − | 111.636i | 0.631892 | − | 0.364823i | ||||
\(307\) | −82.5486 | + | 142.978i | −0.268888 | + | 0.465727i | −0.968575 | − | 0.248722i | \(-0.919989\pi\) |
0.699687 | + | 0.714449i | \(0.253323\pi\) | |||||||
\(308\) | 1182.95 | 3.84074 | ||||||||
\(309\) | −203.834 | + | 117.683i | −0.659656 | + | 0.380852i | ||||
\(310\) | − | 819.266i | − | 2.64279i | ||||||
\(311\) | − | 586.356i | − | 1.88539i | −0.333659 | − | 0.942694i | \(-0.608283\pi\) | ||
0.333659 | − | 0.942694i | \(-0.391717\pi\) | |||||||
\(312\) | −192.798 | − | 111.312i | −0.617942 | − | 0.356769i | ||||
\(313\) | 231.647i | 0.740085i | 0.929015 | + | 0.370042i | \(0.120657\pi\) | ||||
−0.929015 | + | 0.370042i | \(0.879343\pi\) | |||||||
\(314\) | 253.689 | − | 146.467i | 0.807926 | − | 0.466456i | ||||
\(315\) | 115.604 | + | 200.232i | 0.366997 | + | 0.635658i | ||||
\(316\) | 632.529 | + | 365.191i | 2.00167 | + | 1.15567i | ||||
\(317\) | 87.9007 | − | 152.249i | 0.277289 | − | 0.480279i | −0.693421 | − | 0.720533i | \(-0.743897\pi\) |
0.970710 | + | 0.240254i | \(0.0772306\pi\) | |||||||
\(318\) | −339.189 | − | 195.831i | −1.06663 | − | 0.615820i | ||||
\(319\) | 98.6762 | + | 56.9707i | 0.309330 | + | 0.178592i | ||||
\(320\) | − | 708.536i | − | 2.21417i | ||||||
\(321\) | 180.774i | 0.563160i | ||||||||
\(322\) | 742.240 | − | 1285.60i | 2.30509 | − | 3.99254i | ||||
\(323\) | −39.1533 | − | 67.8155i | −0.121218 | − | 0.209955i | ||||
\(324\) | 28.4899 | + | 49.3460i | 0.0879319 | + | 0.152303i | ||||
\(325\) | −315.607 | − | 182.216i | −0.971098 | − | 0.560664i | ||||
\(326\) | 722.988i | 2.21775i | ||||||||
\(327\) | 208.456 | 0.637480 | ||||||||
\(328\) | −69.3950 | − | 120.196i | −0.211570 | − | 0.366450i | ||||
\(329\) | −153.983 | − | 88.9022i | −0.468034 | − | 0.270220i | ||||
\(330\) | 624.157 | 1.89139 | ||||||||
\(331\) | 116.247 | − | 67.1151i | 0.351198 | − | 0.202765i | −0.314015 | − | 0.949418i | \(-0.601674\pi\) |
0.665213 | + | 0.746654i | \(0.268341\pi\) | |||||||
\(332\) | −611.700 | −1.84247 | ||||||||
\(333\) | 39.9720 | − | 69.2335i | 0.120036 | − | 0.207908i | ||||
\(334\) | 247.168i | 0.740025i | ||||||||
\(335\) | 120.007 | − | 439.532i | 0.358230 | − | 1.31203i | ||||
\(336\) | −24.3722 | −0.0725363 | ||||||||
\(337\) | −186.342 | − | 107.585i | −0.552943 | − | 0.319242i | 0.197365 | − | 0.980330i | \(-0.436762\pi\) |
−0.750308 | + | 0.661088i | \(0.770095\pi\) | |||||||
\(338\) | − | 402.663i | − | 1.19131i | ||||||
\(339\) | 24.8672 | + | 43.0712i | 0.0733545 | + | 0.127054i | ||||
\(340\) | − | 996.888i | − | 2.93202i | ||||||
\(341\) | −308.977 | + | 535.163i | −0.906090 | + | 1.56939i | ||||
\(342\) | 28.2413 | − | 16.3051i | 0.0825768 | − | 0.0476757i | ||||
\(343\) | − | 345.010i | − | 1.00586i | ||||||
\(344\) | 5.79185 | 0.0168368 | ||||||||
\(345\) | 239.997 | − | 415.687i | 0.695644 | − | 1.20489i | ||||
\(346\) | −103.210 | + | 59.5881i | −0.298294 | + | 0.172220i | ||||
\(347\) | 65.3994 | − | 37.7584i | 0.188471 | − | 0.108814i | −0.402796 | − | 0.915290i | \(-0.631961\pi\) |
0.591267 | + | 0.806476i | \(0.298628\pi\) | |||||||
\(348\) | 65.6326 | + | 37.8930i | 0.188600 | + | 0.108888i | ||||
\(349\) | −300.812 | −0.861926 | −0.430963 | − | 0.902369i | \(-0.641826\pi\) | ||||
−0.430963 | + | 0.902369i | \(0.641826\pi\) | |||||||
\(350\) | 773.866 | 2.21104 | ||||||||
\(351\) | −44.5686 | + | 77.1951i | −0.126976 | + | 0.219929i | ||||
\(352\) | −279.953 | + | 484.893i | −0.795321 | + | 1.37754i | ||||
\(353\) | −106.939 | − | 61.7410i | −0.302942 | − | 0.174904i | 0.340822 | − | 0.940128i | \(-0.389295\pi\) |
−0.643764 | + | 0.765224i | \(0.722628\pi\) | |||||||
\(354\) | 14.5481 | − | 25.1981i | 0.0410964 | − | 0.0711810i | ||||
\(355\) | 642.458 | − | 370.924i | 1.80974 | − | 1.04485i | ||||
\(356\) | −414.356 | − | 717.686i | −1.16392 | − | 2.01597i | ||||
\(357\) | −454.521 | −1.27317 | ||||||||
\(358\) | −100.521 | + | 174.108i | −0.280785 | + | 0.486335i | ||||
\(359\) | 711.012 | 1.98053 | 0.990267 | − | 0.139182i | \(-0.0444475\pi\) | ||||
0.990267 | + | 0.139182i | \(0.0444475\pi\) | |||||||
\(360\) | 152.856 | 0.424601 | ||||||||
\(361\) | 174.781 | + | 302.730i | 0.484159 | + | 0.838588i | ||||
\(362\) | − | 363.328i | − | 1.00367i | ||||||
\(363\) | −226.214 | − | 130.605i | −0.623179 | − | 0.359793i | ||||
\(364\) | 615.433 | + | 1065.96i | 1.69075 | + | 2.92846i | ||||
\(365\) | 483.509 | + | 279.154i | 1.32468 | + | 0.764806i | ||||
\(366\) | 88.0855 | − | 50.8562i | 0.240671 | − | 0.138951i | ||||
\(367\) | −557.359 | + | 321.792i | −1.51869 | + | 0.876816i | −0.518932 | + | 0.854815i | \(0.673670\pi\) |
−0.999758 | + | 0.0220009i | \(0.992996\pi\) | |||||||
\(368\) | 25.2986 | + | 43.8185i | 0.0687463 | + | 0.119072i | ||||
\(369\) | −48.1256 | + | 27.7854i | −0.130422 | + | 0.0752991i | ||||
\(370\) | −291.230 | − | 504.425i | −0.787108 | − | 1.36331i | ||||
\(371\) | 398.658 | + | 690.497i | 1.07455 | + | 1.86118i | ||||
\(372\) | −205.510 | + | 355.954i | −0.552446 | + | 0.956865i | ||||
\(373\) | −418.723 | + | 241.750i | −1.12258 | + | 0.648122i | −0.942059 | − | 0.335449i | \(-0.891112\pi\) |
−0.180522 | + | 0.983571i | \(0.557779\pi\) | |||||||
\(374\) | −613.500 | + | 1062.61i | −1.64037 | + | 2.84121i | ||||
\(375\) | −44.2388 | −0.117970 | ||||||||
\(376\) | −101.801 | + | 58.7749i | −0.270748 | + | 0.156316i | ||||
\(377\) | 118.557i | 0.314475i | ||||||||
\(378\) | − | 189.282i | − | 0.500746i | ||||||
\(379\) | −142.198 | − | 82.0983i | −0.375194 | − | 0.216618i | 0.300531 | − | 0.953772i | \(-0.402836\pi\) |
−0.675725 | + | 0.737154i | \(0.736169\pi\) | |||||||
\(380\) | − | 145.602i | − | 0.383162i | ||||||
\(381\) | 231.795 | − | 133.827i | 0.608385 | − | 0.351251i | ||||
\(382\) | −115.342 | − | 199.779i | −0.301943 | − | 0.522981i | ||||
\(383\) | 290.875 | + | 167.937i | 0.759464 | + | 0.438477i | 0.829103 | − | 0.559095i | \(-0.188851\pi\) |
−0.0696390 | + | 0.997572i | \(0.522185\pi\) | |||||||
\(384\) | −172.381 | + | 298.573i | −0.448910 | + | 0.777534i | ||||
\(385\) | −1100.39 | − | 635.308i | −2.85815 | − | 1.65015i | ||||
\(386\) | 422.435 | + | 243.893i | 1.09439 | + | 0.631847i | ||||
\(387\) | − | 2.31902i | − | 0.00599230i | ||||||
\(388\) | − | 362.699i | − | 0.934791i | ||||||
\(389\) | 1.45179 | − | 2.51458i | 0.00373211 | − | 0.00646421i | −0.864153 | − | 0.503229i | \(-0.832145\pi\) |
0.867885 | + | 0.496764i | \(0.165479\pi\) | |||||||
\(390\) | 324.720 | + | 562.432i | 0.832616 | + | 1.44213i | ||||
\(391\) | 471.798 | + | 817.179i | 1.20665 | + | 2.08997i | ||||
\(392\) | −515.485 | − | 297.616i | −1.31501 | − | 0.759223i | ||||
\(393\) | − | 82.5157i | − | 0.209964i | ||||||
\(394\) | 466.195 | 1.18324 | ||||||||
\(395\) | −392.255 | − | 679.406i | −0.993052 | − | 1.72002i | ||||
\(396\) | −271.183 | − | 156.568i | −0.684806 | − | 0.395373i | ||||
\(397\) | 359.797 | 0.906289 | 0.453145 | − | 0.891437i | \(-0.350302\pi\) | ||||
0.453145 | + | 0.891437i | \(0.350302\pi\) | |||||||
\(398\) | −432.707 | + | 249.824i | −1.08720 | + | 0.627697i | ||||
\(399\) | −66.3856 | −0.166380 | ||||||||
\(400\) | −13.1883 | + | 22.8428i | −0.0329707 | + | 0.0571069i | ||||
\(401\) | − | 396.737i | − | 0.989369i | −0.869073 | − | 0.494685i | \(-0.835284\pi\) | ||
0.869073 | − | 0.494685i | \(-0.164716\pi\) | |||||||
\(402\) | −264.997 | + | 262.498i | −0.659198 | + | 0.652980i | ||||
\(403\) | −642.985 | −1.59550 | ||||||||
\(404\) | −299.585 | − | 172.965i | −0.741547 | − | 0.428132i | ||||
\(405\) | − | 61.2027i | − | 0.151118i | ||||||
\(406\) | −125.877 | − | 218.026i | −0.310042 | − | 0.537009i | ||||
\(407\) | 439.336i | 1.07945i | ||||||||
\(408\) | −150.246 | + | 260.234i | −0.368251 | + | 0.637829i | ||||
\(409\) | −332.938 | + | 192.222i | −0.814028 | + | 0.469979i | −0.848353 | − | 0.529431i | \(-0.822405\pi\) |
0.0343246 | + | 0.999411i | \(0.489072\pi\) | |||||||
\(410\) | 404.880i | 0.987512i | ||||||||
\(411\) | 430.834 | 1.04826 | ||||||||
\(412\) | 430.163 | − | 745.065i | 1.04409 | − | 1.80841i | ||||
\(413\) | −51.2965 | + | 29.6160i | −0.124205 | + | 0.0717095i | ||||
\(414\) | −340.308 | + | 196.477i | −0.822000 | + | 0.474582i | ||||
\(415\) | 569.008 | + | 328.517i | 1.37110 | + | 0.791607i | ||||
\(416\) | −582.587 | −1.40045 | ||||||||
\(417\) | −167.472 | −0.401612 | ||||||||
\(418\) | −89.6054 | + | 155.201i | −0.214367 | + | 0.371295i | ||||
\(419\) | 346.009 | − | 599.305i | 0.825797 | − | 1.43032i | −0.0755124 | − | 0.997145i | \(-0.524059\pi\) |
0.901309 | − | 0.433177i | \(-0.142607\pi\) | |||||||
\(420\) | −731.901 | − | 422.563i | −1.74262 | − | 1.00610i | ||||
\(421\) | 240.035 | − | 415.752i | 0.570153 | − | 0.987535i | −0.426396 | − | 0.904536i | \(-0.640217\pi\) |
0.996550 | − | 0.0829982i | \(-0.0264496\pi\) | |||||||
\(422\) | 92.0531 | − | 53.1469i | 0.218135 | − | 0.125941i | ||||
\(423\) | 23.5331 | + | 40.7606i | 0.0556339 | + | 0.0963607i | ||||
\(424\) | 527.121 | 1.24321 | ||||||||
\(425\) | −245.950 | + | 425.999i | −0.578707 | + | 1.00235i | ||||
\(426\) | −607.323 | −1.42564 | ||||||||
\(427\) | −207.059 | −0.484916 | ||||||||
\(428\) | −330.389 | − | 572.250i | −0.771937 | − | 1.33703i | ||||
\(429\) | − | 489.858i | − | 1.14186i | ||||||
\(430\) | −14.6324 | − | 8.44802i | −0.0340288 | − | 0.0196465i | ||||
\(431\) | 101.699 | + | 176.148i | 0.235960 | + | 0.408696i | 0.959551 | − | 0.281534i | \(-0.0908431\pi\) |
−0.723591 | + | 0.690229i | \(0.757510\pi\) | |||||||
\(432\) | 5.58718 | + | 3.22576i | 0.0129333 | + | 0.00746703i | ||||
\(433\) | 340.885 | − | 196.810i | 0.787264 | − | 0.454527i | −0.0517347 | − | 0.998661i | \(-0.516475\pi\) |
0.838998 | + | 0.544134i | \(0.183142\pi\) | |||||||
\(434\) | 1182.45 | − | 682.686i | 2.72453 | − | 1.57301i | ||||
\(435\) | −40.7013 | − | 70.4967i | −0.0935662 | − | 0.162061i | ||||
\(436\) | −659.878 | + | 380.981i | −1.51348 | + | 0.873809i | ||||
\(437\) | 68.9090 | + | 119.354i | 0.157687 | + | 0.273121i | ||||
\(438\) | −228.533 | − | 395.832i | −0.521766 | − | 0.903725i | ||||
\(439\) | 110.091 | − | 190.684i | 0.250778 | − | 0.434359i | −0.712963 | − | 0.701202i | \(-0.752647\pi\) |
0.963740 | + | 0.266843i | \(0.0859804\pi\) | |||||||
\(440\) | −727.486 | + | 420.014i | −1.65338 | + | 0.954578i | ||||
\(441\) | −119.164 | + | 206.397i | −0.270212 | + | 0.468021i | ||||
\(442\) | −1276.70 | −2.88847 | ||||||||
\(443\) | −584.626 | + | 337.534i | −1.31970 | + | 0.761927i | −0.983680 | − | 0.179929i | \(-0.942413\pi\) |
−0.336017 | + | 0.941856i | \(0.609080\pi\) | |||||||
\(444\) | 292.216i | 0.658144i | ||||||||
\(445\) | 890.129i | 2.00029i | ||||||||
\(446\) | 30.7648 | + | 17.7621i | 0.0689794 | + | 0.0398253i | ||||
\(447\) | 114.628i | 0.256438i | ||||||||
\(448\) | 1022.63 | − | 590.416i | 2.28266 | − | 1.31789i | ||||
\(449\) | −52.5589 | − | 91.0347i | −0.117058 | − | 0.202750i | 0.801543 | − | 0.597937i | \(-0.204013\pi\) |
−0.918600 | + | 0.395188i | \(0.870680\pi\) | |||||||
\(450\) | −177.404 | − | 102.424i | −0.394231 | − | 0.227609i | ||||
\(451\) | 152.696 | − | 264.477i | 0.338571 | − | 0.586423i | ||||
\(452\) | −157.436 | − | 90.8960i | −0.348311 | − | 0.201097i | ||||
\(453\) | −65.9559 | − | 38.0796i | −0.145598 | − | 0.0840610i | ||||
\(454\) | − | 495.026i | − | 1.09037i | ||||||
\(455\) | − | 1322.09i | − | 2.90568i | ||||||
\(456\) | −21.9444 | + | 38.0088i | −0.0481236 | + | 0.0833526i | ||||
\(457\) | −123.339 | − | 213.629i | −0.269888 | − | 0.467460i | 0.698945 | − | 0.715176i | \(-0.253653\pi\) |
−0.968833 | + | 0.247716i | \(0.920320\pi\) | |||||||
\(458\) | 161.005 | + | 278.869i | 0.351539 | + | 0.608883i | ||||
\(459\) | 104.196 | + | 60.1577i | 0.227007 | + | 0.131063i | ||||
\(460\) | 1754.50i | 3.81414i | ||||||||
\(461\) | 1.23362 | 0.00267597 | 0.00133799 | − | 0.999999i | \(-0.499574\pi\) | ||||
0.00133799 | + | 0.999999i | \(0.499574\pi\) | |||||||
\(462\) | 520.104 | + | 900.846i | 1.12577 | + | 1.94988i | ||||
\(463\) | 365.044 | + | 210.758i | 0.788433 | + | 0.455202i | 0.839410 | − | 0.543498i | \(-0.182900\pi\) |
−0.0509779 | + | 0.998700i | \(0.516234\pi\) | |||||||
\(464\) | 8.58083 | 0.0184932 | ||||||||
\(465\) | 382.334 | − | 220.741i | 0.822224 | − | 0.474711i | ||||
\(466\) | −1422.43 | −3.05243 | ||||||||
\(467\) | 54.0189 | − | 93.5635i | 0.115672 | − | 0.200350i | −0.802376 | − | 0.596819i | \(-0.796431\pi\) |
0.918048 | + | 0.396469i | \(0.129764\pi\) | |||||||
\(468\) | − | 325.820i | − | 0.696197i | ||||||
\(469\) | 734.377 | − | 193.051i | 1.56584 | − | 0.411622i | ||||
\(470\) | 342.918 | 0.729612 | ||||||||
\(471\) | 136.706 | + | 78.9275i | 0.290247 | + | 0.167574i | ||||
\(472\) | 39.1594i | 0.0829649i | ||||||||
\(473\) | 6.37214 | + | 11.0369i | 0.0134718 | + | 0.0233338i | ||||
\(474\) | 642.251i | 1.35496i | ||||||||
\(475\) | −35.9225 | + | 62.2197i | −0.0756264 | + | 0.130989i | ||||
\(476\) | 1438.81 | − | 830.697i | 3.02271 | − | 1.74516i | ||||
\(477\) | − | 211.056i | − | 0.442466i | ||||||
\(478\) | −235.794 | −0.493293 | ||||||||
\(479\) | 120.613 | − | 208.908i | 0.251802 | − | 0.436134i | −0.712220 | − | 0.701956i | \(-0.752310\pi\) |
0.964022 | + | 0.265822i | \(0.0856434\pi\) | |||||||
\(480\) | 346.420 | − | 200.006i | 0.721708 | − | 0.416678i | ||||
\(481\) | −395.888 | + | 228.566i | −0.823052 | + | 0.475190i | ||||
\(482\) | 251.860 | + | 145.411i | 0.522530 | + | 0.301683i | ||||
\(483\) | 799.948 | 1.65621 | ||||||||
\(484\) | 954.788 | 1.97270 | ||||||||
\(485\) | −194.790 | + | 337.385i | −0.401628 | + | 0.695640i | ||||
\(486\) | −25.0522 | + | 43.3917i | −0.0515478 | + | 0.0892834i | ||||
\(487\) | −365.377 | − | 210.951i | −0.750261 | − | 0.433163i | 0.0755273 | − | 0.997144i | \(-0.475936\pi\) |
−0.825788 | + | 0.563980i | \(0.809269\pi\) | |||||||
\(488\) | −68.4453 | + | 118.551i | −0.140257 | + | 0.242932i | ||||
\(489\) | −337.403 | + | 194.800i | −0.689986 | + | 0.398364i | ||||
\(490\) | 868.207 | + | 1503.78i | 1.77185 | + | 3.06894i | ||||
\(491\) | −606.351 | −1.23493 | −0.617466 | − | 0.786598i | \(-0.711841\pi\) | ||||
−0.617466 | + | 0.786598i | \(0.711841\pi\) | |||||||
\(492\) | 101.563 | − | 175.912i | 0.206428 | − | 0.357544i | ||||
\(493\) | 160.025 | 0.324595 | ||||||||
\(494\) | −186.470 | −0.377470 | ||||||||
\(495\) | 168.171 | + | 291.281i | 0.339740 | + | 0.588447i | ||||
\(496\) | 46.5375i | 0.0938257i | ||||||||
\(497\) | 1070.71 | + | 618.173i | 2.15434 | + | 1.24381i | ||||
\(498\) | −268.945 | − | 465.826i | −0.540050 | − | 0.935395i | ||||
\(499\) | 266.956 | + | 154.127i | 0.534983 | + | 0.308872i | 0.743043 | − | 0.669244i | \(-0.233382\pi\) |
−0.208060 | + | 0.978116i | \(0.566715\pi\) | |||||||
\(500\) | 140.040 | − | 80.8521i | 0.280080 | − | 0.161704i | ||||
\(501\) | −115.348 | + | 66.5964i | −0.230236 | + | 0.132927i | ||||
\(502\) | 389.274 | + | 674.242i | 0.775446 | + | 1.34311i | ||||
\(503\) | 596.189 | − | 344.210i | 1.18527 | − | 0.684314i | 0.228040 | − | 0.973652i | \(-0.426768\pi\) |
0.957227 | + | 0.289338i | \(0.0934351\pi\) | |||||||
\(504\) | 127.373 | + | 220.617i | 0.252725 | + | 0.437733i | ||||
\(505\) | 185.784 | + | 321.787i | 0.367889 | + | 0.637203i | ||||
\(506\) | 1079.75 | − | 1870.18i | 2.13389 | − | 3.69601i | ||||
\(507\) | 187.914 | − | 108.492i | 0.370639 | − | 0.213989i | ||||
\(508\) | −489.172 | + | 847.270i | −0.962937 | + | 1.66786i | ||||
\(509\) | −968.452 | −1.90266 | −0.951328 | − | 0.308179i | \(-0.900280\pi\) | ||||
−0.951328 | + | 0.308179i | \(0.900280\pi\) | |||||||
\(510\) | 759.158 | − | 438.300i | 1.48854 | − | 0.859411i | ||||
\(511\) | 930.465i | 1.82087i | ||||||||
\(512\) | 79.3772i | 0.155034i | ||||||||
\(513\) | 15.2185 | + | 8.78640i | 0.0296657 | + | 0.0171275i | ||||
\(514\) | 4.66476i | 0.00907541i | ||||||||
\(515\) | −800.282 | + | 462.043i | −1.55395 | + | 0.897171i | ||||
\(516\) | 4.23831 | + | 7.34097i | 0.00821378 | + | 0.0142267i | ||||
\(517\) | −224.002 | − | 129.327i | −0.433272 | − | 0.250150i | ||||
\(518\) | 485.358 | − | 840.664i | 0.936984 | − | 1.62290i | ||||
\(519\) | −55.6170 | − | 32.1105i | −0.107162 | − | 0.0618699i | ||||
\(520\) | −756.955 | − | 437.028i | −1.45568 | − | 0.840439i | ||||
\(521\) | 309.480i | 0.594012i | 0.954876 | + | 0.297006i | \(0.0959881\pi\) | ||||
−0.954876 | + | 0.297006i | \(0.904012\pi\) | |||||||
\(522\) | 66.6414i | 0.127666i | ||||||||
\(523\) | −105.945 | + | 183.502i | −0.202571 | + | 0.350864i | −0.949356 | − | 0.314202i | \(-0.898263\pi\) |
0.746785 | + | 0.665066i | \(0.231596\pi\) | |||||||
\(524\) | 150.808 | + | 261.207i | 0.287802 | + | 0.498488i | ||||
\(525\) | 208.508 | + | 361.147i | 0.397158 | + | 0.687898i | ||||
\(526\) | −1043.78 | − | 602.627i | −1.98438 | − | 1.14568i | ||||
\(527\) | 867.886i | 1.64684i | ||||||||
\(528\) | −35.4546 | −0.0671489 | ||||||||
\(529\) | −565.856 | − | 980.091i | −1.06967 | − | 1.85272i | ||||
\(530\) | −1331.71 | − | 768.862i | −2.51266 | − | 1.45068i | ||||
\(531\) | 15.6792 | 0.0295277 | ||||||||
\(532\) | 210.147 | − | 121.328i | 0.395013 | − | 0.228061i | ||||
\(533\) | 317.762 | 0.596177 | ||||||||
\(534\) | 364.358 | − | 631.087i | 0.682319 | − | 1.18181i | ||||
\(535\) | 709.749i | 1.32663i | ||||||||
\(536\) | 132.225 | − | 484.279i | 0.246688 | − | 0.903506i | ||||
\(537\) | −108.337 | −0.201744 | ||||||||
\(538\) | 672.965 | + | 388.536i | 1.25086 | + | 0.722187i | ||||
\(539\) | − | 1309.74i | − | 2.42994i | ||||||
\(540\) | 111.856 | + | 193.740i | 0.207141 | + | 0.358778i | ||||
\(541\) | − | 892.800i | − | 1.65028i | −0.564930 | − | 0.825139i | \(-0.691097\pi\) | ||
0.564930 | − | 0.825139i | \(-0.308903\pi\) | |||||||
\(542\) | −321.929 | + | 557.597i | −0.593964 | + | 1.02878i | ||||
\(543\) | 169.557 | − | 97.8941i | 0.312261 | − | 0.180284i | ||||
\(544\) | 786.362i | 1.44552i | ||||||||
\(545\) | 818.431 | 1.50171 | ||||||||
\(546\) | −541.172 | + | 937.338i | −0.991158 | + | 1.71674i | ||||
\(547\) | 84.4185 | − | 48.7390i | 0.154330 | − | 0.0891024i | −0.420846 | − | 0.907132i | \(-0.638267\pi\) |
0.575176 | + | 0.818030i | \(0.304933\pi\) | |||||||
\(548\) | −1363.82 | + | 787.405i | −2.48873 | + | 1.43687i | ||||
\(549\) | 47.4670 | + | 27.4051i | 0.0864608 | + | 0.0499182i | ||||
\(550\) | 1125.75 | 2.04683 | ||||||||
\(551\) | 23.3727 | 0.0424186 | ||||||||
\(552\) | 264.430 | − | 458.007i | 0.479041 | − | 0.829723i | ||||
\(553\) | 653.725 | − | 1132.28i | 1.18214 | − | 2.04753i | ||||
\(554\) | 741.940 | + | 428.360i | 1.33924 | + | 0.773212i | ||||
\(555\) | 156.936 | − | 271.822i | 0.282768 | − | 0.489769i | ||||
\(556\) | 530.142 | − | 306.078i | 0.953493 | − | 0.550499i | ||||
\(557\) | 121.049 | + | 209.662i | 0.217322 | + | 0.376414i | 0.953989 | − | 0.299843i | \(-0.0969344\pi\) |
−0.736666 | + | 0.676257i | \(0.763601\pi\) | |||||||
\(558\) | −361.425 | −0.647715 | ||||||||
\(559\) | −6.63026 | + | 11.4840i | −0.0118609 | + | 0.0205437i | ||||
\(560\) | −95.6890 | −0.170873 | ||||||||
\(561\) | −661.199 | −1.17861 | ||||||||
\(562\) | −242.013 | − | 419.178i | −0.430628 | − | 0.745869i | ||||
\(563\) | − | 580.795i | − | 1.03161i | −0.856707 | − | 0.515804i | \(-0.827493\pi\) | ||
0.856707 | − | 0.515804i | \(-0.172507\pi\) | |||||||
\(564\) | −148.991 | − | 86.0197i | −0.264168 | − | 0.152517i | ||||
\(565\) | 97.6324 | + | 169.104i | 0.172801 | + | 0.299300i | ||||
\(566\) | −275.124 | − | 158.843i | −0.486086 | − | 0.280642i | ||||
\(567\) | 88.3339 | − | 50.9996i | 0.155792 | − | 0.0899464i | ||||
\(568\) | 707.865 | − | 408.686i | 1.24624 | − | 0.719518i | ||||
\(569\) | −136.627 | − | 236.645i | −0.240118 | − | 0.415896i | 0.720630 | − | 0.693320i | \(-0.243853\pi\) |
−0.960748 | + | 0.277424i | \(0.910519\pi\) | |||||||
\(570\) | 110.880 | − | 64.0163i | 0.194526 | − | 0.112309i | ||||
\(571\) | 535.822 | + | 928.070i | 0.938392 | + | 1.62534i | 0.768471 | + | 0.639884i | \(0.221018\pi\) |
0.169920 | + | 0.985458i | \(0.445649\pi\) | |||||||
\(572\) | 895.280 | + | 1550.67i | 1.56517 | + | 2.71096i | ||||
\(573\) | 62.1550 | − | 107.656i | 0.108473 | − | 0.187881i | ||||
\(574\) | −584.363 | + | 337.382i | −1.01805 | + | 0.587774i | ||||
\(575\) | 432.868 | − | 749.749i | 0.752814 | − | 1.30391i | ||||
\(576\) | −312.576 | −0.542666 | ||||||||
\(577\) | 50.9787 | − | 29.4325i | 0.0883512 | − | 0.0510096i | −0.455173 | − | 0.890403i | \(-0.650423\pi\) |
0.543525 | + | 0.839393i | \(0.317089\pi\) | |||||||
\(578\) | 794.359i | 1.37432i | ||||||||
\(579\) | 262.855i | 0.453982i | ||||||||
\(580\) | 257.684 | + | 148.774i | 0.444283 | + | 0.256507i | ||||
\(581\) | 1095.00i | 1.88468i | ||||||||
\(582\) | 276.205 | − | 159.467i | 0.474579 | − | 0.273999i | ||||
\(583\) | 579.935 | + | 1004.48i | 0.994742 | + | 1.72294i | ||||
\(584\) | 532.734 | + | 307.574i | 0.912215 | + | 0.526668i | ||||
\(585\) | −174.983 | + | 303.080i | −0.299117 | + | 0.518086i | ||||
\(586\) | −891.223 | − | 514.548i | −1.52086 | − | 0.878068i | ||||
\(587\) | 165.196 | + | 95.3762i | 0.281425 | + | 0.162481i | 0.634068 | − | 0.773277i | \(-0.281384\pi\) |
−0.352643 | + | 0.935758i | \(0.614717\pi\) | |||||||
\(588\) | − | 871.147i | − | 1.48154i | ||||||
\(589\) | 126.760i | 0.215212i | ||||||||
\(590\) | 57.1181 | − | 98.9315i | 0.0968104 | − | 0.167681i | ||||
\(591\) | 125.610 | + | 217.563i | 0.212539 | + | 0.368128i | ||||
\(592\) | 16.5430 | + | 28.6533i | 0.0279443 | + | 0.0484009i | ||||
\(593\) | −126.224 | − | 72.8755i | −0.212857 | − | 0.122893i | 0.389782 | − | 0.920907i | \(-0.372551\pi\) |
−0.602638 | + | 0.798014i | \(0.705884\pi\) | |||||||
\(594\) | − | 275.351i | − | 0.463555i | ||||||
\(595\) | −1784.52 | −2.99919 | ||||||||
\(596\) | −209.497 | − | 362.859i | −0.351505 | − | 0.608824i | ||||
\(597\) | −233.175 | − | 134.623i | −0.390577 | − | 0.225500i | ||||
\(598\) | 2246.97 | 3.75748 | ||||||||
\(599\) | 795.482 | − | 459.272i | 1.32802 | − | 0.766730i | 0.343023 | − | 0.939327i | \(-0.388549\pi\) |
0.984993 | + | 0.172596i | \(0.0552156\pi\) | |||||||
\(600\) | 275.697 | 0.459496 | ||||||||
\(601\) | 523.024 | − | 905.904i | 0.870256 | − | 1.50733i | 0.00852498 | − | 0.999964i | \(-0.497286\pi\) |
0.861731 | − | 0.507365i | \(-0.169380\pi\) | |||||||
\(602\) | − | 28.1586i | − | 0.0467750i | ||||||
\(603\) | −193.902 | − | 52.9420i | −0.321563 | − | 0.0877977i | ||||
\(604\) | 278.382 | 0.460897 | ||||||||
\(605\) | −888.151 | − | 512.774i | −1.46802 | − | 0.847561i | ||||
\(606\) | − | 304.189i | − | 0.501963i | ||||||
\(607\) | −202.335 | − | 350.455i | −0.333337 | − | 0.577356i | 0.649827 | − | 0.760082i | \(-0.274841\pi\) |
−0.983164 | + | 0.182726i | \(0.941508\pi\) | |||||||
\(608\) | 114.853i | 0.188903i | ||||||||
\(609\) | 67.8320 | − | 117.488i | 0.111383 | − | 0.192920i | ||||
\(610\) | 345.837 | − | 199.669i | 0.566947 | − | 0.327327i | ||||
\(611\) | − | 269.132i | − | 0.440479i | ||||||
\(612\) | −439.784 | −0.718602 | ||||||||
\(613\) | −80.8320 | + | 140.005i | −0.131863 | + | 0.228393i | −0.924395 | − | 0.381437i | \(-0.875429\pi\) |
0.792532 | + | 0.609831i | \(0.208763\pi\) | |||||||
\(614\) | 459.561 | − | 265.328i | 0.748471 | − | 0.432130i | ||||
\(615\) | −188.949 | + | 109.090i | −0.307234 | + | 0.177382i | ||||
\(616\) | −1212.41 | − | 699.987i | −1.96820 | − | 1.13634i | ||||
\(617\) | −551.295 | −0.893510 | −0.446755 | − | 0.894656i | \(-0.647420\pi\) | ||||
−0.446755 | + | 0.894656i | \(0.647420\pi\) | |||||||
\(618\) | 756.516 | 1.22414 | ||||||||
\(619\) | 342.641 | − | 593.471i | 0.553539 | − | 0.958758i | −0.444476 | − | 0.895791i | \(-0.646610\pi\) |
0.998016 | − | 0.0629674i | \(-0.0200564\pi\) | |||||||
\(620\) | −806.865 | + | 1397.53i | −1.30139 | + | 2.25408i | ||||
\(621\) | −183.383 | − | 105.876i | −0.295303 | − | 0.170493i | ||||
\(622\) | −942.333 | + | 1632.17i | −1.51500 | + | 2.62406i | ||||
\(623\) | −1284.72 | + | 741.735i | −2.06215 | + | 1.19059i | ||||
\(624\) | −18.4454 | − | 31.9484i | −0.0295599 | − | 0.0511993i | ||||
\(625\) | −704.791 | −1.12767 | ||||||||
\(626\) | 372.280 | − | 644.807i | 0.594696 | − | 1.03004i | ||||
\(627\) | −96.5721 | −0.154022 | ||||||||
\(628\) | −577.001 | −0.918791 | ||||||||
\(629\) | 308.513 | + | 534.361i | 0.490482 | + | 0.849540i | ||||
\(630\) | − | 743.150i | − | 1.17960i | ||||||
\(631\) | −451.547 | − | 260.701i | −0.715606 | − | 0.413155i | 0.0975275 | − | 0.995233i | \(-0.468907\pi\) |
−0.813133 | + | 0.582078i | \(0.802240\pi\) | |||||||
\(632\) | −432.190 | − | 748.575i | −0.683845 | − | 1.18445i | ||||
\(633\) | 49.6051 | + | 28.6395i | 0.0783650 | + | 0.0452441i | ||||
\(634\) | −489.358 | + | 282.531i | −0.771857 | + | 0.445632i | ||||
\(635\) | 910.062 | − | 525.425i | 1.43317 | − | 0.827441i | ||||
\(636\) | 385.733 | + | 668.109i | 0.606498 | + | 1.05049i | ||||
\(637\) | 1180.21 | − | 681.396i | 1.85277 | − | 1.06970i | ||||
\(638\) | −183.115 | − | 317.165i | −0.287015 | − | 0.497124i | ||||
\(639\) | −163.635 | − | 283.425i | −0.256081 | − | 0.443545i | ||||
\(640\) | −676.796 | + | 1172.24i | −1.05749 | + | 1.83163i | ||||
\(641\) | 599.562 | − | 346.158i | 0.935355 | − | 0.540027i | 0.0468537 | − | 0.998902i | \(-0.485081\pi\) |
0.888501 | + | 0.458874i | \(0.151747\pi\) | |||||||
\(642\) | 290.523 | − | 503.200i | 0.452528 | − | 0.783801i | ||||
\(643\) | 312.843 | 0.486536 | 0.243268 | − | 0.969959i | \(-0.421781\pi\) | ||||
0.243268 | + | 0.969959i | \(0.421781\pi\) | |||||||
\(644\) | −2532.27 | + | 1462.01i | −3.93210 | + | 2.27020i | ||||
\(645\) | − | 9.10484i | − | 0.0141160i | ||||||
\(646\) | 251.693i | 0.389618i | ||||||||
\(647\) | −285.962 | − | 165.100i | −0.441981 | − | 0.255178i | 0.262456 | − | 0.964944i | \(-0.415467\pi\) |
−0.704438 | + | 0.709766i | \(0.748801\pi\) | |||||||
\(648\) | − | 67.4336i | − | 0.104064i | ||||||
\(649\) | −74.6218 | + | 43.0829i | −0.114980 | + | 0.0663835i | ||||
\(650\) | 585.678 | + | 1014.42i | 0.901043 | + | 1.56065i | ||||
\(651\) | 637.190 | + | 367.882i | 0.978786 | + | 0.565103i | ||||
\(652\) | 712.044 | − | 1233.30i | 1.09209 | − | 1.89156i | ||||
\(653\) | 1017.16 | + | 587.257i | 1.55767 | + | 0.899321i | 0.997479 | + | 0.0709581i | \(0.0226057\pi\) |
0.560191 | + | 0.828363i | \(0.310728\pi\) | |||||||
\(654\) | −580.254 | − | 335.010i | −0.887239 | − | 0.512248i | ||||
\(655\) | − | 323.970i | − | 0.494610i | ||||||
\(656\) | − | 22.9988i | − | 0.0350591i | ||||||
\(657\) | 123.151 | − | 213.303i | 0.187444 | − | 0.324663i | ||||
\(658\) | 285.750 | + | 494.933i | 0.434270 | + | 0.752178i | ||||
\(659\) | −563.305 | − | 975.673i | −0.854788 | − | 1.48054i | −0.876842 | − | 0.480780i | \(-0.840354\pi\) |
0.0220535 | − | 0.999757i | \(-0.492980\pi\) | |||||||
\(660\) | −1064.71 | − | 614.710i | −1.61319 | − | 0.931378i | ||||
\(661\) | − | 958.202i | − | 1.44963i | −0.688946 | − | 0.724813i | \(-0.741926\pi\) | ||
0.688946 | − | 0.724813i | \(-0.258074\pi\) | |||||||
\(662\) | −431.443 | −0.651726 | ||||||||
\(663\) | −343.991 | − | 595.810i | −0.518841 | − | 0.898658i | ||||
\(664\) | 626.937 | + | 361.962i | 0.944182 | + | 0.545124i | ||||
\(665\) | −260.640 | −0.391940 | ||||||||
\(666\) | −222.531 | + | 128.478i | −0.334130 | + | 0.192910i | ||||
\(667\) | −281.642 | −0.422251 | ||||||||
\(668\) | 243.427 | − | 421.628i | 0.364412 | − | 0.631180i | ||||
\(669\) | 19.1431i | 0.0286144i | ||||||||
\(670\) | −1040.42 | + | 1030.61i | −1.55287 | + | 1.53822i | ||||
\(671\) | −301.212 | −0.448900 | ||||||||
\(672\) | 577.336 | + | 333.325i | 0.859131 | + | 0.496019i | ||||
\(673\) | 67.6336i | 0.100496i | 0.998737 | + | 0.0502479i | \(0.0160011\pi\) | ||||
−0.998737 | + | 0.0502479i | \(0.983999\pi\) | |||||||
\(674\) | 345.799 | + | 598.941i | 0.513054 | + | 0.888636i | ||||
\(675\) | − | 110.388i | − | 0.163537i | ||||||
\(676\) | −396.568 | + | 686.875i | −0.586638 | + | 1.01609i | ||||
\(677\) | −385.373 | + | 222.495i | −0.569237 | + | 0.328649i | −0.756845 | − | 0.653595i | \(-0.773260\pi\) |
0.187608 | + | 0.982244i | \(0.439927\pi\) | |||||||
\(678\) | − | 159.856i | − | 0.235776i | ||||||
\(679\) | −649.264 | −0.956207 | ||||||||
\(680\) | −589.890 | + | 1021.72i | −0.867485 | + | 1.50253i | ||||
\(681\) | 231.018 | − | 133.378i | 0.339234 | − | 0.195857i | ||||
\(682\) | 1720.12 | − | 993.114i | 2.52217 | − | 1.45618i | ||||
\(683\) | −805.498 | − | 465.054i | −1.17935 | − | 0.680900i | −0.223488 | − | 0.974707i | \(-0.571744\pi\) |
−0.955865 | + | 0.293807i | \(0.905078\pi\) | |||||||
\(684\) | −64.2331 | −0.0939081 | ||||||||
\(685\) | 1691.52 | 2.46937 | ||||||||
\(686\) | −554.467 | + | 960.364i | −0.808260 | + | 1.39995i | ||||
\(687\) | −86.7614 | + | 150.275i | −0.126290 | + | 0.218741i | ||||
\(688\) | 0.831178 | + | 0.479881i | 0.00120811 | + | 0.000697501i | ||||
\(689\) | −603.426 | + | 1045.17i | −0.875800 | + | 1.51693i | ||||
\(690\) | −1336.10 | + | 771.399i | −1.93638 | + | 1.11797i | ||||
\(691\) | −470.697 | − | 815.271i | −0.681182 | − | 1.17984i | −0.974620 | − | 0.223864i | \(-0.928133\pi\) |
0.293438 | − | 0.955978i | \(-0.405200\pi\) | |||||||
\(692\) | 234.744 | 0.339226 | ||||||||
\(693\) | −280.271 | + | 485.443i | −0.404431 | + | 0.700495i | ||||
\(694\) | −242.726 | −0.349749 | ||||||||
\(695\) | −657.523 | −0.946076 | ||||||||
\(696\) | −44.8450 | − | 77.6738i | −0.0644324 | − | 0.111600i | ||||
\(697\) | − | 428.908i | − | 0.615363i | ||||||
\(698\) | 837.335 | + | 483.436i | 1.19962 | + | 0.692602i | ||||
\(699\) | −383.256 | − | 663.819i | −0.548292 | − | 0.949670i | ||||
\(700\) | −1320.09 | − | 762.152i | −1.88584 | − | 1.08879i | ||||
\(701\) | −692.304 | + | 399.702i | −0.987594 | + | 0.570188i | −0.904554 | − | 0.426358i | \(-0.859796\pi\) |
−0.0830401 | + | 0.996546i | \(0.526463\pi\) | |||||||
\(702\) | 248.121 | − | 143.253i | 0.353448 | − | 0.204064i | ||||
\(703\) | 45.0602 | + | 78.0466i | 0.0640970 | + | 0.111019i | ||||
\(704\) | 1487.64 | − | 858.887i | 2.11312 | − | 1.22001i | ||||
\(705\) | 92.3947 | + | 160.032i | 0.131056 | + | 0.226996i | ||||
\(706\) | 198.448 | + | 343.722i | 0.281088 | + | 0.486859i | ||||
\(707\) | −309.624 | + | 536.284i | −0.437940 | + | 0.758535i | ||||
\(708\) | −49.6333 | + | 28.6558i | −0.0701035 | + | 0.0404743i | ||||
\(709\) | −213.454 | + | 369.713i | −0.301063 | + | 0.521457i | −0.976377 | − | 0.216073i | \(-0.930675\pi\) |
0.675314 | + | 0.737531i | \(0.264008\pi\) | |||||||
\(710\) | −2384.45 | −3.35838 | ||||||||
\(711\) | −299.725 | + | 173.046i | −0.421554 | + | 0.243384i | ||||
\(712\) | 980.750i | 1.37746i | ||||||||
\(713\) | − | 1527.46i | − | 2.14230i | ||||||
\(714\) | 1265.20 | + | 730.461i | 1.77198 | + | 1.02306i | ||||
\(715\) | − | 1923.26i | − | 2.68987i | ||||||
\(716\) | 342.945 | − | 197.999i | 0.478973 | − | 0.276535i | ||||
\(717\) | −63.5317 | − | 110.040i | −0.0886077 | − | 0.153473i | ||||
\(718\) | −1979.16 | − | 1142.67i | −2.75649 | − | 1.59146i | ||||
\(719\) | −277.432 | + | 480.526i | −0.385858 | + | 0.668325i | −0.991888 | − | 0.127117i | \(-0.959428\pi\) |
0.606030 | + | 0.795442i | \(0.292761\pi\) | |||||||
\(720\) | 21.9361 | + | 12.6648i | 0.0304668 | + | 0.0175900i | ||||
\(721\) | −1333.73 | − | 770.032i | −1.84984 | − | 1.06800i | ||||
\(722\) | − | 1123.57i | − | 1.55619i | ||||||
\(723\) | 156.717i | 0.216759i | ||||||||
\(724\) | −357.828 | + | 619.777i | −0.494238 | + | 0.856045i | ||||
\(725\) | −73.4104 | − | 127.151i | −0.101256 | − | 0.175380i | ||||
\(726\) | 419.790 | + | 727.098i | 0.578223 | + | 1.00151i | ||||
\(727\) | 1130.73 | + | 652.830i | 1.55534 | + | 0.897978i | 0.997692 | + | 0.0679030i | \(0.0216308\pi\) |
0.557652 | + | 0.830075i | \(0.311702\pi\) | |||||||
\(728\) | − | 1456.68i | − | 2.00094i | ||||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | −897.258 | − | 1554.10i | −1.22912 | − | 2.12890i | ||||
\(731\) | 15.5008 | + | 8.94937i | 0.0212049 | + | 0.0122426i | ||||
\(732\) | −200.345 | −0.273696 | ||||||||
\(733\) | −1014.46 | + | 585.697i | −1.38398 | + | 0.799041i | −0.992628 | − | 0.121200i | \(-0.961326\pi\) |
−0.391352 | + | 0.920241i | \(0.627993\pi\) | |||||||
\(734\) | 2068.61 | 2.81826 | ||||||||
\(735\) | −467.855 | + | 810.348i | −0.636537 | + | 1.10251i | ||||
\(736\) | − | 1383.98i | − | 1.88041i | ||||||
\(737\) | 1068.31 | − | 280.834i | 1.44954 | − | 0.381050i | ||||
\(738\) | 178.616 | 0.242026 | ||||||||
\(739\) | 1144.11 | + | 660.552i | 1.54819 | + | 0.893845i | 0.998281 | + | 0.0586176i | \(0.0186693\pi\) |
0.549905 | + | 0.835227i | \(0.314664\pi\) | |||||||
\(740\) | 1147.29i | 1.55039i | ||||||||
\(741\) | −50.2420 | − | 87.0217i | −0.0678030 | − | 0.117438i | ||||
\(742\) | − | 2562.74i | − | 3.45382i | ||||||
\(743\) | −290.026 | + | 502.339i | −0.390344 | + | 0.676095i | −0.992495 | − | 0.122287i | \(-0.960977\pi\) |
0.602151 | + | 0.798382i | \(0.294311\pi\) | |||||||
\(744\) | 421.258 | − | 243.214i | 0.566207 | − | 0.326900i | ||||
\(745\) | 450.046i | 0.604088i | ||||||||
\(746\) | 1554.06 | 2.08320 | ||||||||
\(747\) | 144.928 | − | 251.022i | 0.194013 | − | 0.336040i | ||||
\(748\) | 2093.06 | − | 1208.43i | 2.79820 | − | 1.61554i | ||||
\(749\) | −1024.38 | + | 591.426i | −1.36766 | + | 0.789621i | ||||
\(750\) | 123.142 | + | 71.0962i | 0.164190 | + | 0.0947949i | ||||
\(751\) | −1493.65 | −1.98889 | −0.994443 | − | 0.105278i | \(-0.966427\pi\) | ||||
−0.994443 | + | 0.105278i | \(0.966427\pi\) | |||||||
\(752\) | −19.4791 | −0.0259030 | ||||||||
\(753\) | −209.770 | + | 363.332i | −0.278579 | + | 0.482512i | ||||
\(754\) | 190.533 | − | 330.013i | 0.252696 | − | 0.437683i | ||||
\(755\) | −258.953 | − | 149.507i | −0.342984 | − | 0.198022i | ||||
\(756\) | −186.417 | + | 322.883i | −0.246583 | + | 0.427094i | ||||
\(757\) | −784.724 | + | 453.061i | −1.03662 | + | 0.598495i | −0.918875 | − | 0.394548i | \(-0.870901\pi\) |
−0.117749 | + | 0.993043i | \(0.537568\pi\) | |||||||
\(758\) | 263.880 | + | 457.054i | 0.348127 | + | 0.602974i | ||||
\(759\) | 1163.70 | 1.53320 | ||||||||
\(760\) | −86.1570 | + | 149.228i | −0.113364 | + | 0.196353i | ||||
\(761\) | −244.482 | −0.321264 | −0.160632 | − | 0.987014i | \(-0.551353\pi\) | ||||
−0.160632 | + | 0.987014i | \(0.551353\pi\) | |||||||
\(762\) | −860.293 | −1.12899 | ||||||||
\(763\) | 681.990 | + | 1181.24i | 0.893827 | + | 1.54815i | ||||
\(764\) | 454.385i | 0.594745i | ||||||||
\(765\) | 409.090 | + | 236.188i | 0.534759 | + | 0.308743i | ||||
\(766\) | −539.783 | − | 934.931i | −0.704677 | − | 1.22054i | ||||
\(767\) | −77.6445 | − | 44.8281i | −0.101231 | − | 0.0584460i | ||||
\(768\) | 334.524 | − | 193.137i | 0.435578 | − | 0.251481i | ||||
\(769\) | −1269.32 | + | 732.841i | −1.65061 | + | 0.952979i | −0.673787 | + | 0.738926i | \(0.735333\pi\) |
−0.976822 | + | 0.214053i | \(0.931333\pi\) | |||||||
\(770\) | 2042.01 | + | 3536.86i | 2.65196 | + | 4.59333i | ||||
\(771\) | −2.17694 | + | 1.25686i | −0.00282353 | + | 0.00163017i | ||||
\(772\) | −480.402 | − | 832.081i | −0.622283 | − | 1.07783i | ||||
\(773\) | 341.531 | + | 591.550i | 0.441826 | + | 0.765265i | 0.997825 | − | 0.0659182i | \(-0.0209976\pi\) |
−0.555999 | + | 0.831183i | \(0.687664\pi\) | |||||||
\(774\) | −3.72690 | + | 6.45518i | −0.00481512 | + | 0.00834003i | ||||
\(775\) | 689.592 | − | 398.136i | 0.889797 | − | 0.513724i | ||||
\(776\) | −214.620 | + | 371.734i | −0.276573 | + | 0.479038i | ||||
\(777\) | 523.093 | 0.673222 | ||||||||
\(778\) | −8.08236 | + | 4.66636i | −0.0103886 | + | 0.00599789i | ||||
\(779\) | − | 62.6446i | − | 0.0804167i | ||||||
\(780\) | − | 1279.22i | − | 1.64003i | ||||||
\(781\) | 1557.58 | + | 899.266i | 1.99433 | + | 1.15143i | ||||
\(782\) | − | 3032.91i | − | 3.87840i | ||||||
\(783\) | −31.1001 | + | 17.9557i | −0.0397192 | + | 0.0229319i | ||||
\(784\) | −49.3176 | − | 85.4206i | −0.0629051 | − | 0.108955i | ||||
\(785\) | 536.731 | + | 309.882i | 0.683733 | + | 0.394754i | ||||
\(786\) | −132.611 | + | 229.689i | −0.168716 | + | 0.292225i | ||||
\(787\) | −1053.73 | − | 608.369i | −1.33892 | − | 0.773023i | −0.352269 | − | 0.935899i | \(-0.614590\pi\) |
−0.986647 | + | 0.162876i | \(0.947923\pi\) | |||||||
\(788\) | −795.251 | − | 459.138i | −1.00920 | − | 0.582663i | ||||
\(789\) | − | 649.481i | − | 0.823169i | ||||||
\(790\) | 2521.58i | 3.19187i | ||||||||
\(791\) | −162.712 | + | 281.826i | −0.205704 | + | 0.356290i | ||||
\(792\) | 185.292 | + | 320.935i | 0.233955 | + | 0.405222i | ||||
\(793\) | −156.707 | − | 271.424i | −0.197612 | − | 0.342275i | ||||
\(794\) | −1001.52 | − | 578.230i | −1.26137 | − | 0.728249i | ||||
\(795\) | − | 828.639i | − | 1.04231i | ||||||
\(796\) | 984.168 | 1.23639 | ||||||||
\(797\) | 26.9413 | + | 46.6637i | 0.0338034 | + | 0.0585491i | 0.882432 | − | 0.470440i | \(-0.155905\pi\) |
−0.848629 | + | 0.528989i | \(0.822571\pi\) | |||||||
\(798\) | 184.790 | + | 106.688i | 0.231566 | + | 0.133695i | ||||
\(799\) | −363.269 | −0.454654 | ||||||||
\(800\) | 624.816 | − | 360.738i | 0.781020 | − | 0.450922i | ||||
\(801\) | 392.686 | 0.490245 | ||||||||
\(802\) | −637.597 | + | 1104.35i | −0.795008 | + | 1.37699i | ||||
\(803\) | 1353.56i | 1.68563i | ||||||||
\(804\) | 710.566 | − | 186.792i | 0.883788 | − | 0.232328i | ||||
\(805\) | 3140.72 | 3.90152 | ||||||||
\(806\) | 1789.80 | + | 1033.34i | 2.22060 | + | 1.28206i | ||||
\(807\) | 418.745i | 0.518890i | ||||||||
\(808\) | 204.698 | + | 354.548i | 0.253339 | + | 0.438797i | ||||
\(809\) | − | 225.703i | − | 0.278990i | −0.990223 | − | 0.139495i | \(-0.955452\pi\) | ||
0.990223 | − | 0.139495i | \(-0.0445480\pi\) | |||||||
\(810\) | −98.3590 | + | 170.363i | −0.121431 | + | 0.210324i | ||||
\(811\) | 902.051 | − | 520.799i | 1.11227 | − | 0.642169i | 0.172853 | − | 0.984948i | \(-0.444701\pi\) |
0.939416 | + | 0.342778i | \(0.111368\pi\) | |||||||
\(812\) | 495.887i | 0.610698i | ||||||||
\(813\) | −346.958 | −0.426763 | ||||||||
\(814\) | 706.057 | − | 1222.93i | 0.867392 | − | 1.50237i | ||||
\(815\) | −1324.70 | + | 764.814i | −1.62540 | + | 0.938423i | ||||
\(816\) | −43.1231 | + | 24.8972i | −0.0528470 | + | 0.0305112i | ||||
\(817\) | 2.26398 | + | 1.30711i | 0.00277109 | + | 0.00159989i | ||||
\(818\) | 1235.68 | 1.51061 | ||||||||
\(819\) | −583.247 | −0.712146 | ||||||||
\(820\) | 398.751 | − | 690.657i | 0.486282 | − | 0.842265i | ||||
\(821\) | −663.627 | + | 1149.43i | −0.808315 | + | 1.40004i | 0.105715 | + | 0.994396i | \(0.466287\pi\) |
−0.914030 | + | 0.405646i | \(0.867047\pi\) | |||||||
\(822\) | −1199.26 | − | 692.393i | −1.45895 | − | 0.842327i | ||||
\(823\) | 413.401 | − | 716.032i | 0.502310 | − | 0.870027i | −0.497686 | − | 0.867357i | \(-0.665817\pi\) |
0.999996 | − | 0.00266982i | \(-0.000849831\pi\) | |||||||
\(824\) | −881.757 | + | 509.082i | −1.07009 | + | 0.617818i | ||||
\(825\) | 303.320 | + | 525.366i | 0.367661 | + | 0.636807i | ||||
\(826\) | 190.384 | 0.230489 | ||||||||
\(827\) | 200.826 | − | 347.840i | 0.242836 | − | 0.420605i | −0.718685 | − | 0.695336i | \(-0.755256\pi\) |
0.961521 | + | 0.274731i | \(0.0885889\pi\) | |||||||
\(828\) | 774.011 | 0.934796 | ||||||||
\(829\) | 915.170 | 1.10394 | 0.551972 | − | 0.833863i | \(-0.313875\pi\) | ||||
0.551972 | + | 0.833863i | \(0.313875\pi\) | |||||||
\(830\) | −1055.92 | − | 1828.91i | −1.27219 | − | 2.20350i | ||||
\(831\) | 461.664i | 0.555552i | ||||||||
\(832\) | 1547.90 | + | 893.678i | 1.86045 | + | 1.07413i | ||||
\(833\) | −919.732 | − | 1593.02i | −1.10412 | − | 1.91239i | ||||
\(834\) | 466.173 | + | 269.145i | 0.558960 | + | 0.322716i | ||||
\(835\) | −452.875 | + | 261.468i | −0.542366 | + | 0.313135i | ||||
\(836\) | 305.704 | − | 176.498i | 0.365674 | − | 0.211122i | ||||
\(837\) | −97.3813 | − | 168.669i | −0.116346 | − | 0.201516i | ||||
\(838\) | −1926.29 | + | 1112.14i | −2.29867 | + | 1.32714i | ||||
\(839\) | −97.9570 | − | 169.666i | −0.116754 | − | 0.202225i | 0.801725 | − | 0.597693i | \(-0.203916\pi\) |
−0.918480 | + | 0.395468i | \(0.870582\pi\) | |||||||
\(840\) | 500.088 | + | 866.178i | 0.595343 | + | 1.03116i | ||||
\(841\) | 396.618 | − | 686.963i | 0.471603 | − | 0.816840i | ||||
\(842\) | −1336.31 | + | 771.520i | −1.58707 | + | 0.916294i | ||||
\(843\) | 130.414 | − | 225.884i | 0.154703 | − | 0.267953i | ||||
\(844\) | −209.370 | −0.248068 | ||||||||
\(845\) | 737.780 | − | 425.958i | 0.873113 | − | 0.504092i | ||||
\(846\) | − | 151.281i | − | 0.178819i | ||||||
\(847\) | − | 1709.16i | − | 2.01790i | ||||||
\(848\) | 75.6462 | + | 43.6744i | 0.0892055 | + | 0.0515028i | ||||
\(849\) | − | 171.193i | − | 0.201641i | ||||||
\(850\) | 1369.25 | − | 790.534i | 1.61088 | − | 0.930041i | ||||
\(851\) | −542.977 | − | 940.464i | −0.638046 | − | 1.10513i | ||||
\(852\) | 1035.99 | + | 598.130i | 1.21595 | + | 0.702031i | ||||
\(853\) | 154.090 | − | 266.891i | 0.180644 | − | 0.312885i | −0.761456 | − | 0.648217i | \(-0.775515\pi\) |
0.942100 | + | 0.335332i | \(0.108848\pi\) | |||||||
\(854\) | 576.365 | + | 332.765i | 0.674901 | + | 0.389654i | ||||
\(855\) | 59.7501 | + | 34.4968i | 0.0698832 | + | 0.0403471i | ||||
\(856\) | 782.006i | 0.913558i | ||||||||
\(857\) | 816.318i | 0.952529i | 0.879302 | + | 0.476265i | \(0.158010\pi\) | ||||
−0.879302 | + | 0.476265i | \(0.841990\pi\) | |||||||
\(858\) | −787.252 | + | 1363.56i | −0.917543 | + | 1.58923i | ||||
\(859\) | 212.191 | + | 367.525i | 0.247021 | + | 0.427852i | 0.962698 | − | 0.270579i | \(-0.0872151\pi\) |
−0.715677 | + | 0.698431i | \(0.753882\pi\) | |||||||
\(860\) | 16.6403 | + | 28.8218i | 0.0193492 | + | 0.0335137i | ||||
\(861\) | −314.898 | − | 181.807i | −0.365735 | − | 0.211157i | ||||
\(862\) | − | 653.762i | − | 0.758425i | ||||||
\(863\) | 1106.57 | 1.28224 | 0.641119 | − | 0.767442i | \(-0.278471\pi\) | ||||
0.641119 | + | 0.767442i | \(0.278471\pi\) | |||||||
\(864\) | −88.2338 | − | 152.825i | −0.102122 | − | 0.176881i | ||||
\(865\) | −218.361 | − | 126.071i | −0.252440 | − | 0.145747i | ||||
\(866\) | −1265.18 | −1.46094 | ||||||||
\(867\) | −370.711 | + | 214.030i | −0.427579 | + | 0.246863i | ||||
\(868\) | −2689.41 | −3.09840 | ||||||||
\(869\) | 950.983 | − | 1647.15i | 1.09434 | − | 1.89546i | ||||
\(870\) | 261.644i | 0.300741i | ||||||||
\(871\) | 808.853 | + | 816.555i | 0.928649 | + | 0.937491i | ||||
\(872\) | 901.753 | 1.03412 | ||||||||
\(873\) | 148.840 | + | 85.9327i | 0.170492 | + | 0.0984338i | ||||
\(874\) | − | 442.975i | − | 0.506836i | ||||||
\(875\) | −144.733 | − | 250.684i | −0.165409 | − | 0.286496i | ||||
\(876\) | 900.296i | 1.02774i | ||||||||
\(877\) | 392.140 | − | 679.207i | 0.447138 | − | 0.774466i | −0.551060 | − | 0.834466i | \(-0.685777\pi\) |
0.998198 | + | 0.0599993i | \(0.0191099\pi\) | |||||||
\(878\) | −612.896 | + | 353.856i | −0.698060 | + | 0.403025i | ||||
\(879\) | − | 554.553i | − | 0.630891i | ||||||
\(880\) | −139.200 | −0.158182 | ||||||||
\(881\) | −90.0678 | + | 156.002i | −0.102234 | + | 0.177074i | −0.912605 | − | 0.408843i | \(-0.865932\pi\) |
0.810371 | + | 0.585917i | \(0.199266\pi\) | |||||||
\(882\) | 663.403 | − | 383.016i | 0.752157 | − | 0.434258i | ||||
\(883\) | −810.408 | + | 467.889i | −0.917789 | + | 0.529886i | −0.882929 | − | 0.469506i | \(-0.844432\pi\) |
−0.0348602 | + | 0.999392i | \(0.511099\pi\) | |||||||
\(884\) | 2177.84 | + | 1257.38i | 2.46362 | + | 1.42237i | ||||
\(885\) | 61.5590 | 0.0695582 | ||||||||
\(886\) | 2169.80 | 2.44899 | ||||||||
\(887\) | 621.001 | − | 1075.60i | 0.700114 | − | 1.21263i | −0.268313 | − | 0.963332i | \(-0.586466\pi\) |
0.968426 | − | 0.249300i | \(-0.0802006\pi\) | |||||||
\(888\) | 172.913 | − | 299.495i | 0.194722 | − | 0.337269i | ||||
\(889\) | 1516.69 | + | 875.662i | 1.70606 | + | 0.984997i | ||||
\(890\) | 1430.53 | − | 2477.74i | 1.60733 | − | 2.78398i | ||||
\(891\) | 128.501 | − | 74.1899i | 0.144221 | − | 0.0832659i | ||||
\(892\) | −34.9864 | − | 60.5983i | −0.0392224 | − | 0.0679353i | ||||
\(893\) | −53.0576 | −0.0594150 | ||||||||
\(894\) | 184.218 | − | 319.075i | 0.206061 | − | 0.356907i | ||||
\(895\) | −425.346 | −0.475247 | ||||||||
\(896\) | −2255.87 | −2.51771 | ||||||||
\(897\) | 605.418 | + | 1048.61i | 0.674936 | + | 1.16902i | ||||
\(898\) | 337.870i | 0.376247i | ||||||||
\(899\) | −224.338 | − | 129.522i | −0.249542 | − | 0.144073i | ||||
\(900\) | 201.748 | + | 349.437i | 0.224164 | + | 0.388264i | ||||
\(901\) | 1410.74 | + | 814.491i | 1.56575 | + | 0.903985i | ||||
\(902\) | −850.082 | + | 490.795i | −0.942441 | + | 0.544119i | ||||
\(903\) | 13.1410 | − | 7.58697i | 0.0145526 | − | 0.00840195i | ||||
\(904\) | 107.572 | + | 186.320i | 0.118996 | + | 0.206106i | ||||
\(905\) | 665.709 | − | 384.347i | 0.735590 | − | 0.424693i | ||||
\(906\) | 122.396 | + | 211.996i | 0.135095 | + | 0.233991i | ||||
\(907\) | −95.8075 | − | 165.944i | −0.105631 | − | 0.182959i | 0.808365 | − | 0.588682i | \(-0.200353\pi\) |
−0.913996 | + | 0.405723i | \(0.867020\pi\) | |||||||
\(908\) | −487.533 | + | 844.432i | −0.536931 | + | 0.929991i | ||||
\(909\) | 141.959 | − | 81.9599i | 0.156170 | − | 0.0901649i | ||||
\(910\) | −2124.73 | + | 3680.13i | −2.33486 | + | 4.04410i | ||||
\(911\) | −151.188 | −0.165958 | −0.0829790 | − | 0.996551i | \(-0.526443\pi\) | ||||
−0.0829790 | + | 0.996551i | \(0.526443\pi\) | |||||||
\(912\) | −6.29840 | + | 3.63638i | −0.00690614 | + | 0.00398726i | ||||
\(913\) | 1592.91i | 1.74470i | ||||||||
\(914\) | 792.872i | 0.867474i | ||||||||
\(915\) | 186.363 | + | 107.597i | 0.203675 | + | 0.117592i | ||||
\(916\) | − | 634.271i | − | 0.692435i | ||||||
\(917\) | 467.585 | − | 269.960i | 0.509907 | − | 0.294395i | ||||
\(918\) | −193.359 | − | 334.908i | −0.210631 | − | 0.364823i | ||||
\(919\) | −337.561 | − | 194.891i | −0.367314 | − | 0.212069i | 0.304971 | − | 0.952362i | \(-0.401353\pi\) |
−0.672284 | + | 0.740293i | \(0.734687\pi\) | |||||||
\(920\) | 1038.20 | − | 1798.21i | 1.12847 | − | 1.95457i | ||||
\(921\) | 247.646 | + | 142.978i | 0.268888 | + | 0.155242i | ||||
\(922\) | −3.43389 | − | 1.98256i | −0.00372439 | − | 0.00215028i | ||||
\(923\) | 1871.39i | 2.02751i | ||||||||
\(924\) | − | 2048.92i | − | 2.21745i | ||||||
\(925\) | 283.056 | − | 490.268i | 0.306007 | − | 0.530019i | ||||
\(926\) | −677.420 | − | 1173.33i | −0.731555 | − | 1.26709i | ||||
\(927\) | 203.834 | + | 353.050i | 0.219885 | + | 0.380852i | ||||
\(928\) | −203.265 | − | 117.355i | −0.219036 | − | 0.126460i | ||||
\(929\) | 708.991i | 0.763177i | 0.924332 | + | 0.381588i | \(0.124623\pi\) | ||||
−0.924332 | + | 0.381588i | \(0.875377\pi\) | |||||||
\(930\) | −1419.01 | −1.52582 | ||||||||
\(931\) | −134.332 | − | 232.671i | −0.144288 | − | 0.249915i | ||||
\(932\) | 2426.43 | + | 1400.90i | 2.60347 | + | 1.50311i | ||||
\(933\) | −1015.60 | −1.08853 | ||||||||
\(934\) | −300.732 | + | 173.628i | −0.321983 | + | 0.185897i | ||||
\(935\) | −2595.97 | −2.77644 | ||||||||
\(936\) | −192.798 | + | 333.936i | −0.205981 | + | 0.356769i | ||||
\(937\) | 453.304i | 0.483782i | 0.970303 | + | 0.241891i | \(0.0777677\pi\) | ||||
−0.970303 | + | 0.241891i | \(0.922232\pi\) | |||||||
\(938\) | −2354.45 | − | 642.845i | −2.51007 | − | 0.685336i | ||||
\(939\) | 401.224 | 0.427288 | ||||||||
\(940\) | −584.960 | − | 337.727i | −0.622298 | − | 0.359284i | ||||
\(941\) | 809.567i | 0.860327i | 0.902751 | + | 0.430163i | \(0.141544\pi\) | ||||
−0.902751 | + | 0.430163i | \(0.858456\pi\) | |||||||
\(942\) | −253.689 | − | 439.402i | −0.269309 | − | 0.466456i | ||||
\(943\) | 754.869i | 0.800498i | ||||||||
\(944\) | −3.24454 | + | 5.61970i | −0.00343701 | + | 0.00595307i | ||||
\(945\) | 346.813 | − | 200.232i | 0.366997 | − | 0.211886i | ||||
\(946\) | − | 40.9627i | − | 0.0433010i | ||||||
\(947\) | −1086.01 | −1.14679 | −0.573395 | − | 0.819279i | \(-0.694374\pi\) | ||||
−0.573395 | + | 0.819279i | \(0.694374\pi\) | |||||||
\(948\) | 632.529 | − | 1095.57i | 0.667225 | − | 1.15567i | ||||
\(949\) | −1219.70 | + | 704.196i | −1.28525 | + | 0.742040i | ||||
\(950\) | 199.987 | − | 115.462i | 0.210512 | − | 0.121539i | ||||
\(951\) | −263.702 | − | 152.249i | −0.277289 | − | 0.160093i | ||||
\(952\) | −1966.20 | −2.06533 | ||||||||
\(953\) | −997.180 | −1.04636 | −0.523179 | − | 0.852223i | \(-0.675254\pi\) | ||||
−0.523179 | + | 0.852223i | \(0.675254\pi\) | |||||||
\(954\) | −339.189 | + | 587.492i | −0.355544 | + | 0.615820i | ||||
\(955\) | 244.030 | − | 422.673i | 0.255529 | − | 0.442589i | ||||
\(956\) | 402.226 | + | 232.225i | 0.420738 | + | 0.242913i | ||||
\(957\) | 98.6762 | − | 170.912i | 0.103110 | − | 0.178592i | ||||
\(958\) | −671.474 | + | 387.675i | −0.700912 | + | 0.404672i | ||||
\(959\) | 1409.53 | + | 2441.37i | 1.46979 | + | 2.54575i | ||||
\(960\) | −1227.22 | −1.27835 | ||||||||
\(961\) | 221.953 | − | 384.433i | 0.230960 | − | 0.400035i | ||||
\(962\) | 1469.32 | 1.52736 | ||||||||
\(963\) | 313.111 | 0.325141 | ||||||||
\(964\) | −286.420 | − | 496.094i | −0.297116 | − | 0.514621i | ||||
\(965\) | 1032.01i | 1.06944i | ||||||||
\(966\) | −2226.72 | − | 1285.60i | −2.30509 | − | 1.33085i | ||||
\(967\) | 62.3061 | + | 107.917i | 0.0644324 | + | 0.111600i | 0.896442 | − | 0.443161i | \(-0.146143\pi\) |
−0.832010 | + | 0.554761i | \(0.812810\pi\) | |||||||
\(968\) | −978.571 | − | 564.978i | −1.01092 | − | 0.583655i | ||||
\(969\) | −117.460 | + | 67.8155i | −0.121218 | + | 0.0699850i | ||||
\(970\) | 1084.42 | − | 626.093i | 1.11796 | − | 0.645457i | ||||
\(971\) | 761.387 | + | 1318.76i | 0.784127 | + | 1.35815i | 0.929519 | + | 0.368774i | \(0.120222\pi\) |
−0.145392 | + | 0.989374i | \(0.546444\pi\) | |||||||
\(972\) | 85.4698 | − | 49.3460i | 0.0879319 | − | 0.0507675i | ||||
\(973\) | −547.907 | − | 949.003i | −0.563111 | − | 0.975337i | ||||
\(974\) | 678.038 | + | 1174.40i | 0.696137 | + | 1.20575i | ||||
\(975\) | −315.607 | + | 546.647i | −0.323699 | + | 0.560664i | ||||
\(976\) | −19.6449 | + | 11.3420i | −0.0201280 | + | 0.0116209i | ||||
\(977\) | 226.051 | − | 391.532i | 0.231373 | − | 0.400749i | −0.726840 | − | 0.686807i | \(-0.759012\pi\) |
0.958212 | + | 0.286058i | \(0.0923450\pi\) | |||||||
\(978\) | 1252.25 | 1.28042 | ||||||||
\(979\) | −1868.91 | + | 1079.01i | −1.90899 | + | 1.10216i | ||||
\(980\) | − | 3420.26i | − | 3.49006i | ||||||
\(981\) | − | 361.057i | − | 0.368049i | ||||||
\(982\) | 1687.83 | + | 974.468i | 1.71877 | + | 0.992330i | ||||
\(983\) | − | 670.533i | − | 0.682130i | −0.940040 | − | 0.341065i | \(-0.889212\pi\) | ||
0.940040 | − | 0.341065i | \(-0.110788\pi\) | |||||||
\(984\) | −208.185 | + | 120.196i | −0.211570 | + | 0.122150i | ||||
\(985\) | 493.166 | + | 854.188i | 0.500676 | + | 0.867196i | ||||
\(986\) | −445.444 | − | 257.177i | −0.451768 | − | 0.260829i | ||||
\(987\) | −153.983 | + | 266.707i | −0.156011 | + | 0.270220i | ||||
\(988\) | 318.087 | + | 183.648i | 0.321950 | + | 0.185878i | ||||
\(989\) | −27.2811 | − | 15.7507i | −0.0275845 | − | 0.0159259i | ||||
\(990\) | − | 1081.07i | − | 1.09199i | ||||||
\(991\) | 1498.42i | 1.51202i | 0.654558 | + | 0.756012i | \(0.272855\pi\) | ||||
−0.654558 | + | 0.756012i | \(0.727145\pi\) | |||||||
\(992\) | 636.468 | − | 1102.40i | 0.641601 | − | 1.11129i | ||||
\(993\) | −116.247 | − | 201.345i | −0.117066 | − | 0.202765i | ||||
\(994\) | −1986.93 | − | 3441.47i | −1.99893 | − | 3.46224i | ||||
\(995\) | −915.480 | − | 528.553i | −0.920080 | − | 0.531209i | ||||
\(996\) | 1059.50i | 1.06375i | ||||||||
\(997\) | 314.997 | 0.315945 | 0.157972 | − | 0.987444i | \(-0.449504\pi\) | ||||
0.157972 | + | 0.987444i | \(0.449504\pi\) | |||||||
\(998\) | −495.396 | − | 858.052i | −0.496389 | − | 0.859771i | ||||
\(999\) | −119.916 | − | 69.2335i | −0.120036 | − | 0.0693028i |
(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 | 201.3.h.b.172.3 | yes | 24 | |
67.30 | odd | 6 | inner | 201.3.h.b.97.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.h.b.97.3 | ✓ | 24 | 67.30 | odd | 6 | inner | |
201.3.h.b.172.3 | yes | 24 | 1.1 | even | 1 | trivial |