Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [243,3,Mod(26,243)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(243, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("243.26");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 243 = 3^{5} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 243.f (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.62127042396\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 53.2 | ||
Character | \(\chi\) | \(=\) | 243.53 |
Dual form | 243.3.f.c.188.2 |
$q$-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 \(\left(\mathbb{Z}/243\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.397073 | + | 1.09095i | −0.198536 | + | 0.545474i | −0.998510 | − | 0.0545605i | \(-0.982624\pi\) |
0.799974 | + | 0.600034i | \(0.204846\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.03168 | + | 1.70478i | 0.507919 | + | 0.426195i | ||||
\(5\) | 5.30122 | + | 0.934749i | 1.06024 | + | 0.186950i | 0.676465 | − | 0.736475i | \(-0.263511\pi\) |
0.383780 | + | 0.923425i | \(0.374622\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −8.06979 | + | 6.77136i | −1.15283 | + | 0.967337i | −0.999782 | − | 0.0208820i | \(-0.993353\pi\) |
−0.153046 | + | 0.988219i | \(0.548908\pi\) | |||||||
\(8\) | −6.68824 | + | 3.86146i | −0.836030 | + | 0.482682i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.12473 | + | 5.41219i | −0.312473 | + | 0.541219i | ||||
\(11\) | 11.5656 | − | 2.03932i | 1.05141 | − | 0.185393i | 0.378870 | − | 0.925450i | \(-0.376313\pi\) |
0.672544 | + | 0.740057i | \(0.265202\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −10.5554 | + | 3.84187i | −0.811957 | + | 0.295528i | −0.714432 | − | 0.699705i | \(-0.753315\pi\) |
−0.0975252 | + | 0.995233i | \(0.531093\pi\) | |||||||
\(14\) | −4.18291 | − | 11.4924i | −0.298779 | − | 0.820889i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.285244 | + | 1.61770i | 0.0178277 | + | 0.101106i | ||||
\(17\) | 2.73630 | + | 1.57980i | 0.160959 | + | 0.0929296i | 0.578316 | − | 0.815813i | \(-0.303710\pi\) |
−0.417357 | + | 0.908743i | \(0.637044\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.26051 | + | 3.91532i | 0.118974 | + | 0.206069i | 0.919361 | − | 0.393414i | \(-0.128706\pi\) |
−0.800387 | + | 0.599483i | \(0.795373\pi\) | |||||||
\(20\) | 9.17683 | + | 10.9365i | 0.458842 | + | 0.546826i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.36757 | + | 13.4272i | −0.107617 | + | 0.610326i | ||||
\(23\) | 12.7964 | − | 15.2501i | 0.556364 | − | 0.663048i | −0.412409 | − | 0.910999i | \(-0.635313\pi\) |
0.968773 | + | 0.247950i | \(0.0797570\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.73689 | + | 1.36012i | 0.149476 | + | 0.0544047i | ||||
\(26\) | − | 13.0409i | − | 0.501575i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −27.9389 | −0.997818 | ||||||||
\(29\) | −8.67353 | + | 23.8303i | −0.299087 | + | 0.821735i | 0.695566 | + | 0.718462i | \(0.255154\pi\) |
−0.994653 | + | 0.103273i | \(0.967069\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 16.9460 | + | 14.2194i | 0.546646 | + | 0.458690i | 0.873803 | − | 0.486280i | \(-0.161646\pi\) |
−0.327158 | + | 0.944970i | \(0.606091\pi\) | |||||||
\(32\) | −32.3004 | − | 5.69544i | −1.00939 | − | 0.177982i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.80999 | + | 2.35786i | −0.0826468 | + | 0.0693489i | ||||
\(35\) | −49.1093 | + | 28.3533i | −1.40312 | + | 0.810093i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.82807 | + | 15.2907i | −0.238596 | + | 0.413261i | −0.960312 | − | 0.278929i | \(-0.910021\pi\) |
0.721715 | + | 0.692190i | \(0.243354\pi\) | |||||||
\(38\) | −5.16899 | + | 0.911433i | −0.136026 | + | 0.0239851i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −39.0653 | + | 14.2186i | −0.976634 | + | 0.355466i | ||||
\(41\) | 4.25636 | + | 11.6943i | 0.103814 | + | 0.285226i | 0.980715 | − | 0.195446i | \(-0.0626153\pi\) |
−0.876901 | + | 0.480671i | \(0.840393\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.32921 | + | 35.8947i | 0.147191 | + | 0.834761i | 0.965582 | + | 0.260099i | \(0.0837552\pi\) |
−0.818391 | + | 0.574662i | \(0.805134\pi\) | |||||||
\(44\) | 26.9741 | + | 15.5735i | 0.613047 | + | 0.353943i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 11.5560 | + | 20.0156i | 0.251217 | + | 0.435121i | ||||
\(47\) | −7.97030 | − | 9.49863i | −0.169581 | − | 0.202098i | 0.674560 | − | 0.738220i | \(-0.264333\pi\) |
−0.844141 | + | 0.536121i | \(0.819889\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 10.7615 | − | 61.0314i | 0.219622 | − | 1.24554i | ||||
\(50\) | −2.96764 | + | 3.53669i | −0.0593527 | + | 0.0707338i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −27.9948 | − | 10.1893i | −0.538362 | − | 0.195948i | ||||
\(53\) | − | 84.6210i | − | 1.59662i | −0.602245 | − | 0.798311i | \(-0.705727\pi\) | ||
0.602245 | − | 0.798311i | \(-0.294273\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 63.2178 | 1.14942 | ||||||||
\(56\) | 27.8254 | − | 76.4496i | 0.496882 | − | 1.36517i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −22.5536 | − | 18.9247i | −0.388855 | − | 0.326288i | ||||
\(59\) | 67.2363 | + | 11.8556i | 1.13960 | + | 0.200942i | 0.711430 | − | 0.702757i | \(-0.248048\pi\) |
0.428169 | + | 0.903699i | \(0.359159\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 59.8066 | − | 50.1837i | 0.980437 | − | 0.822684i | −0.00371858 | − | 0.999993i | \(-0.501184\pi\) |
0.984155 | + | 0.177309i | \(0.0567392\pi\) | |||||||
\(62\) | −22.2414 | + | 12.8411i | −0.358733 | + | 0.207114i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 15.7537 | − | 27.2863i | 0.246152 | − | 0.426348i | ||||
\(65\) | −59.5480 | + | 10.4999i | −0.916122 | + | 0.161537i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 91.2665 | − | 33.2183i | 1.36219 | − | 0.495795i | 0.445457 | − | 0.895303i | \(-0.353041\pi\) |
0.916730 | + | 0.399508i | \(0.130819\pi\) | |||||||
\(68\) | 2.86606 | + | 7.87443i | 0.0421479 | + | 0.115801i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −11.4320 | − | 64.8340i | −0.163314 | − | 0.926200i | ||||
\(71\) | 105.364 | + | 60.8322i | 1.48401 | + | 0.856791i | 0.999835 | − | 0.0181820i | \(-0.00578784\pi\) |
0.484171 | + | 0.874973i | \(0.339121\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −45.5705 | − | 78.9304i | −0.624254 | − | 1.08124i | −0.988685 | − | 0.150009i | \(-0.952070\pi\) |
0.364431 | − | 0.931230i | \(-0.381263\pi\) | |||||||
\(74\) | −13.1759 | − | 15.7025i | −0.178053 | − | 0.212195i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.08213 | + | 11.8083i | −0.0273964 | + | 0.155373i | ||||
\(77\) | −79.5227 | + | 94.7714i | −1.03276 | + | 1.23080i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 19.1583 | + | 6.97307i | 0.242511 | + | 0.0882667i | 0.460416 | − | 0.887703i | \(-0.347700\pi\) |
−0.217905 | + | 0.975970i | \(0.569922\pi\) | |||||||
\(80\) | 8.84240i | 0.110530i | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −14.4479 | −0.176194 | ||||||||
\(83\) | −10.8085 | + | 29.6962i | −0.130223 | + | 0.357785i | −0.987619 | − | 0.156872i | \(-0.949859\pi\) |
0.857396 | + | 0.514658i | \(0.172081\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 13.0290 | + | 10.9326i | 0.153282 | + | 0.128619i | ||||
\(86\) | −41.6724 | − | 7.34797i | −0.484563 | − | 0.0854415i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −69.4785 | + | 58.2994i | −0.789528 | + | 0.662493i | ||||
\(89\) | 59.7756 | − | 34.5114i | 0.671636 | − | 0.387769i | −0.125060 | − | 0.992149i | \(-0.539912\pi\) |
0.796696 | + | 0.604380i | \(0.206579\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 59.1656 | − | 102.478i | 0.650171 | − | 1.12613i | ||||
\(92\) | 51.9962 | − | 9.16833i | 0.565176 | − | 0.0996557i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 13.5273 | − | 4.92353i | 0.143907 | − | 0.0523780i | ||||
\(95\) | 8.32363 | + | 22.8690i | 0.0876171 | + | 0.240726i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −13.8579 | − | 78.5918i | −0.142864 | − | 0.810224i | −0.969057 | − | 0.246837i | \(-0.920609\pi\) |
0.826193 | − | 0.563388i | \(-0.190502\pi\) | |||||||
\(98\) | 62.3089 | + | 35.9741i | 0.635806 | + | 0.367083i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.27346 | + | 9.13390i | 0.0527346 | + | 0.0913390i | ||||
\(101\) | −3.07039 | − | 3.65915i | −0.0303999 | − | 0.0362292i | 0.750630 | − | 0.660722i | \(-0.229750\pi\) |
−0.781030 | + | 0.624493i | \(0.785306\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.5535 | + | 71.1945i | −0.121879 | + | 0.691209i | 0.861234 | + | 0.508208i | \(0.169692\pi\) |
−0.983113 | + | 0.183000i | \(0.941419\pi\) | |||||||
\(104\) | 55.7621 | − | 66.4547i | 0.536175 | − | 0.638988i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 92.3171 | + | 33.6007i | 0.870916 | + | 0.316987i | ||||
\(107\) | − | 158.133i | − | 1.47788i | −0.673773 | − | 0.738938i | \(-0.735328\pi\) | ||
0.673773 | − | 0.738938i | \(-0.264672\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −18.5788 | −0.170448 | −0.0852240 | − | 0.996362i | \(-0.527161\pi\) | ||||
−0.0852240 | + | 0.996362i | \(0.527161\pi\) | |||||||
\(110\) | −25.1021 | + | 68.9674i | −0.228201 | + | 0.626976i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −13.2559 | − | 11.1230i | −0.118356 | − | 0.0993124i | ||||
\(113\) | 17.7424 | + | 3.12847i | 0.157013 | + | 0.0276856i | 0.251602 | − | 0.967831i | \(-0.419043\pi\) |
−0.0945892 | + | 0.995516i | \(0.530154\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 82.0914 | − | 68.8829i | 0.713838 | − | 0.598981i | ||||
\(116\) | −58.2473 | + | 33.6291i | −0.502131 | + | 0.289906i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −39.6315 | + | 68.6438i | −0.335860 | + | 0.581727i | ||||
\(119\) | −32.7788 | + | 5.77978i | −0.275452 | + | 0.0485696i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 15.9004 | − | 5.78728i | 0.131408 | − | 0.0478287i | ||||
\(122\) | 31.0003 | + | 85.1725i | 0.254100 | + | 0.698135i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 10.1879 | + | 57.7785i | 0.0821605 | + | 0.465955i | ||||
\(125\) | −98.0067 | − | 56.5842i | −0.784054 | − | 0.452674i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 78.1067 | + | 135.285i | 0.615013 | + | 1.06523i | 0.990382 | + | 0.138359i | \(0.0441827\pi\) |
−0.375369 | + | 0.926876i | \(0.622484\pi\) | |||||||
\(128\) | −60.8179 | − | 72.4800i | −0.475140 | − | 0.566250i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 12.1900 | − | 69.1329i | 0.0937692 | − | 0.531792i | ||||
\(131\) | 63.3268 | − | 75.4699i | 0.483411 | − | 0.576106i | −0.468118 | − | 0.883666i | \(-0.655068\pi\) |
0.951529 | + | 0.307559i | \(0.0995123\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −44.7539 | − | 16.2891i | −0.336495 | − | 0.122474i | ||||
\(134\) | 112.757i | 0.841471i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −24.4014 | −0.179422 | ||||||||
\(137\) | 22.4558 | − | 61.6969i | 0.163911 | − | 0.450342i | −0.830360 | − | 0.557227i | \(-0.811865\pi\) |
0.994271 | + | 0.106885i | \(0.0340876\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −95.9859 | − | 80.5417i | −0.690546 | − | 0.579437i | 0.228521 | − | 0.973539i | \(-0.426611\pi\) |
−0.919067 | + | 0.394102i | \(0.871056\pi\) | |||||||
\(140\) | −148.110 | − | 26.1158i | −1.05793 | − | 0.186542i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −108.202 | + | 90.7923i | −0.761986 | + | 0.639382i | ||||
\(143\) | −114.245 | + | 65.9593i | −0.798915 | + | 0.461254i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −68.2557 | + | 118.222i | −0.470729 | + | 0.815326i | ||||
\(146\) | 104.204 | − | 18.3739i | 0.713725 | − | 0.125849i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −44.0030 | + | 16.0158i | −0.297317 | + | 0.108215i | ||||
\(149\) | −69.0048 | − | 189.589i | −0.463119 | − | 1.27241i | −0.923127 | − | 0.384495i | \(-0.874376\pi\) |
0.460008 | − | 0.887915i | \(-0.347847\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 22.2514 | + | 126.194i | 0.147360 | + | 0.835720i | 0.965442 | + | 0.260619i | \(0.0839265\pi\) |
−0.818082 | + | 0.575102i | \(0.804962\pi\) | |||||||
\(152\) | −30.2377 | − | 17.4577i | −0.198932 | − | 0.114853i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −71.8144 | − | 124.386i | −0.466327 | − | 0.807703i | ||||
\(155\) | 76.5431 | + | 91.2205i | 0.493826 | + | 0.588519i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −24.1278 | + | 136.835i | −0.153680 | + | 0.871563i | 0.806303 | + | 0.591503i | \(0.201465\pi\) |
−0.959983 | + | 0.280059i | \(0.909646\pi\) | |||||||
\(158\) | −15.2145 | + | 18.1319i | −0.0962943 | + | 0.114759i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −165.908 | − | 60.3856i | −1.03692 | − | 0.377410i | ||||
\(161\) | 209.714i | 1.30257i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 39.8569 | 0.244521 | 0.122261 | − | 0.992498i | \(-0.460986\pi\) | ||||
0.122261 | + | 0.992498i | \(0.460986\pi\) | |||||||
\(164\) | −11.2886 | + | 31.0151i | −0.0688328 | + | 0.189117i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −28.1052 | − | 23.5831i | −0.169309 | − | 0.142067i | ||||
\(167\) | 163.432 | + | 28.8174i | 0.978633 | + | 0.172559i | 0.640013 | − | 0.768364i | \(-0.278929\pi\) |
0.338620 | + | 0.940923i | \(0.390040\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −32.8040 | + | 27.5258i | −0.194107 | + | 0.162875i | ||||
\(170\) | −17.1004 | + | 9.87292i | −0.100591 | + | 0.0580760i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −48.3337 | + | 83.7164i | −0.281010 | + | 0.486723i | ||||
\(173\) | 10.7247 | − | 1.89106i | 0.0619925 | − | 0.0109310i | −0.142566 | − | 0.989785i | \(-0.545535\pi\) |
0.204558 | + | 0.978854i | \(0.434424\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −39.3658 | + | 14.3280i | −0.224947 | + | 0.0818742i | ||||
\(176\) | 6.59800 | + | 18.1279i | 0.0374886 | + | 0.102999i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 13.9149 | + | 78.9156i | 0.0781739 | + | 0.443346i | ||||
\(179\) | −244.720 | − | 141.289i | −1.36715 | − | 0.789326i | −0.376590 | − | 0.926380i | \(-0.622903\pi\) |
−0.990564 | + | 0.137054i | \(0.956237\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 54.3996 | + | 94.2228i | 0.300550 | + | 0.520568i | 0.976261 | − | 0.216599i | \(-0.0694964\pi\) |
−0.675711 | + | 0.737167i | \(0.736163\pi\) | |||||||
\(182\) | 88.3049 | + | 105.238i | 0.485192 | + | 0.578229i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −26.6975 | + | 151.409i | −0.145095 | + | 0.822875i | ||||
\(185\) | −61.0925 | + | 72.8072i | −0.330230 | + | 0.393552i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 34.8685 | + | 12.6911i | 0.186463 | + | 0.0678669i | ||||
\(188\) | − | 32.8857i | − | 0.174924i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −28.2539 | −0.148705 | ||||||||
\(191\) | −37.1534 | + | 102.078i | −0.194521 | + | 0.534441i | −0.998157 | − | 0.0606793i | \(-0.980673\pi\) |
0.803637 | + | 0.595120i | \(0.202896\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 153.292 | + | 128.627i | 0.794258 | + | 0.666461i | 0.946795 | − | 0.321836i | \(-0.104300\pi\) |
−0.152538 | + | 0.988298i | \(0.548745\pi\) | |||||||
\(194\) | 91.2421 | + | 16.0884i | 0.470320 | + | 0.0829301i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 125.909 | − | 105.650i | 0.642392 | − | 0.539031i | ||||
\(197\) | 253.494 | − | 146.355i | 1.28677 | − | 0.742918i | 0.308694 | − | 0.951161i | \(-0.400108\pi\) |
0.978077 | + | 0.208243i | \(0.0667746\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 41.1548 | − | 71.2822i | 0.206808 | − | 0.358202i | −0.743899 | − | 0.668292i | \(-0.767026\pi\) |
0.950707 | + | 0.310090i | \(0.100359\pi\) | |||||||
\(200\) | −30.2453 | + | 5.33306i | −0.151226 | + | 0.0266653i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 5.21111 | − | 1.89669i | 0.0257976 | − | 0.00938956i | ||||
\(203\) | −91.3701 | − | 251.037i | −0.450099 | − | 1.23664i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.6327 | + | 65.9725i | 0.0567450 | + | 0.321817i | ||||
\(206\) | −72.6848 | − | 41.9646i | −0.352839 | − | 0.203712i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −9.22585 | − | 15.9796i | −0.0443550 | − | 0.0768252i | ||||
\(209\) | 34.1286 | + | 40.6729i | 0.163295 | + | 0.194607i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 20.1163 | − | 114.085i | 0.0953379 | − | 0.540688i | −0.899305 | − | 0.437321i | \(-0.855927\pi\) |
0.994643 | − | 0.103367i | \(-0.0329616\pi\) | |||||||
\(212\) | 144.260 | − | 171.923i | 0.680472 | − | 0.810955i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 172.515 | + | 62.7902i | 0.806143 | + | 0.293412i | ||||
\(215\) | 196.202i | 0.912568i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −233.036 | −1.07390 | ||||||||
\(218\) | 7.37714 | − | 20.2685i | 0.0338401 | − | 0.0929749i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 128.438 | + | 107.772i | 0.583810 | + | 0.489875i | ||||
\(221\) | −34.9522 | − | 6.16302i | −0.158155 | − | 0.0278870i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −151.858 | + | 127.424i | −0.680976 | + | 0.571407i | −0.916291 | − | 0.400512i | \(-0.868832\pi\) |
0.235315 | + | 0.971919i | \(0.424388\pi\) | |||||||
\(224\) | 299.224 | − | 172.757i | 1.33582 | − | 0.771236i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.4580 | + | 18.1138i | −0.0462745 | + | 0.0801498i | ||||
\(227\) | 5.07359 | − | 0.894610i | 0.0223506 | − | 0.00394102i | −0.162462 | − | 0.986715i | \(-0.551943\pi\) |
0.184812 | + | 0.982774i | \(0.440832\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −332.038 | + | 120.852i | −1.44995 | + | 0.527737i | −0.942576 | − | 0.333991i | \(-0.891604\pi\) |
−0.507370 | + | 0.861728i | \(0.669382\pi\) | |||||||
\(230\) | 42.5514 | + | 116.909i | 0.185006 | + | 0.508300i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −34.0091 | − | 192.875i | −0.146591 | − | 0.831359i | ||||
\(233\) | 121.729 | + | 70.2803i | 0.522442 | + | 0.301632i | 0.737933 | − | 0.674874i | \(-0.235802\pi\) |
−0.215491 | + | 0.976506i | \(0.569135\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −33.3735 | − | 57.8046i | −0.142015 | − | 0.245977i | ||||
\(236\) | 116.391 | + | 138.710i | 0.493184 | + | 0.587754i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 6.71011 | − | 38.0549i | 0.0281937 | − | 0.159895i | ||||
\(239\) | −94.9229 | + | 113.125i | −0.397167 | + | 0.473325i | −0.927154 | − | 0.374681i | \(-0.877752\pi\) |
0.529987 | + | 0.848006i | \(0.322197\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −286.055 | − | 104.116i | −1.18695 | − | 0.432015i | −0.328299 | − | 0.944574i | \(-0.606475\pi\) |
−0.858652 | + | 0.512559i | \(0.828698\pi\) | |||||||
\(242\) | 19.6445i | 0.0811755i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 207.060 | 0.848606 | ||||||||
\(245\) | 114.098 | − | 313.482i | 0.465706 | − | 1.27952i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −38.9028 | − | 32.6433i | −0.157501 | − | 0.132159i | ||||
\(248\) | −168.247 | − | 29.6664i | −0.678414 | − | 0.119623i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 100.646 | − | 84.4522i | 0.402585 | − | 0.337809i | ||||
\(251\) | −108.072 | + | 62.3955i | −0.430567 | + | 0.248588i | −0.699588 | − | 0.714546i | \(-0.746633\pi\) |
0.269021 | + | 0.963134i | \(0.413300\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 116.897 | − | 202.472i | 0.462044 | − | 0.800284i | ||||
\(254\) | −178.603 | + | 31.4925i | −0.703160 | + | 0.123986i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 221.650 | − | 80.6741i | 0.865822 | − | 0.315133i | ||||
\(257\) | 156.314 | + | 429.469i | 0.608225 | + | 1.67109i | 0.734102 | + | 0.679039i | \(0.237603\pi\) |
−0.125876 | + | 0.992046i | \(0.540174\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −32.2979 | − | 183.170i | −0.124702 | − | 0.707222i | ||||
\(260\) | −138.882 | − | 80.1837i | −0.534163 | − | 0.308399i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 57.1884 | + | 99.0533i | 0.218276 | + | 0.378066i | ||||
\(263\) | −300.790 | − | 358.468i | −1.14369 | − | 1.36300i | −0.921679 | − | 0.387952i | \(-0.873183\pi\) |
−0.222010 | − | 0.975044i | \(-0.571262\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 79.0994 | − | 448.595i | 0.298488 | − | 1.69281i | ||||
\(266\) | 35.5411 | − | 42.3562i | 0.133613 | − | 0.159234i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 242.054 | + | 88.1004i | 0.903187 | + | 0.328733i | ||||
\(269\) | 317.049i | 1.17862i | 0.807907 | + | 0.589310i | \(0.200601\pi\) | ||||
−0.807907 | + | 0.589310i | \(0.799399\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 115.698 | 0.426931 | 0.213465 | − | 0.976951i | \(-0.431525\pi\) | ||||
0.213465 | + | 0.976951i | \(0.431525\pi\) | |||||||
\(272\) | −1.77513 | + | 4.87713i | −0.00652621 | + | 0.0179306i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 58.3915 | + | 48.9963i | 0.213108 | + | 0.178818i | ||||
\(275\) | 45.9930 | + | 8.10980i | 0.167247 | + | 0.0294902i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −88.3295 | + | 74.1172i | −0.318879 | + | 0.267571i | −0.788150 | − | 0.615483i | \(-0.788961\pi\) |
0.469271 | + | 0.883054i | \(0.344517\pi\) | |||||||
\(278\) | 125.980 | − | 72.7347i | 0.453166 | − | 0.261635i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 218.970 | − | 379.267i | 0.782035 | − | 1.35452i | ||||
\(281\) | 80.3524 | − | 14.1683i | 0.285952 | − | 0.0504210i | −0.0288326 | − | 0.999584i | \(-0.509179\pi\) |
0.314784 | + | 0.949163i | \(0.398068\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 391.983 | − | 142.670i | 1.38510 | − | 0.504134i | 0.461378 | − | 0.887204i | \(-0.347355\pi\) |
0.923720 | + | 0.383069i | \(0.125133\pi\) | |||||||
\(284\) | 110.361 | + | 303.214i | 0.388595 | + | 1.06766i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −26.5946 | − | 150.826i | −0.0929883 | − | 0.527363i | ||||
\(287\) | −113.534 | − | 65.5489i | −0.395589 | − | 0.228393i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −139.508 | − | 241.636i | −0.482728 | − | 0.836110i | ||||
\(290\) | −101.872 | − | 121.406i | −0.351282 | − | 0.418642i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 41.9744 | − | 238.049i | 0.143748 | − | 0.815236i | ||||
\(293\) | −222.297 | + | 264.924i | −0.758694 | + | 0.904176i | −0.997765 | − | 0.0668261i | \(-0.978713\pi\) |
0.239071 | + | 0.971002i | \(0.423157\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 345.353 | + | 125.698i | 1.17069 | + | 0.426095i | ||||
\(296\) | − | 136.357i | − | 0.460665i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 234.232 | 0.786012 | ||||||||
\(299\) | −76.4824 | + | 210.134i | −0.255794 | + | 0.702788i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −294.131 | − | 246.806i | −0.977181 | − | 0.819952i | ||||
\(302\) | −146.506 | − | 25.8330i | −0.485120 | − | 0.0855397i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.68900 | + | 4.77364i | −0.0187138 | + | 0.0157028i | ||||
\(305\) | 363.957 | − | 210.131i | 1.19330 | − | 0.688954i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −288.668 | + | 499.988i | −0.940286 | + | 1.62862i | −0.175362 | + | 0.984504i | \(0.556110\pi\) |
−0.764925 | + | 0.644120i | \(0.777224\pi\) | |||||||
\(308\) | −323.129 | + | 56.9763i | −1.04912 | + | 0.184988i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −129.910 | + | 47.2833i | −0.419064 | + | 0.152527i | ||||
\(311\) | −153.602 | − | 422.019i | −0.493898 | − | 1.35697i | −0.897086 | − | 0.441856i | \(-0.854320\pi\) |
0.403188 | − | 0.915117i | \(-0.367902\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.88192 | + | 10.6729i | 0.00601253 | + | 0.0340988i | 0.987666 | − | 0.156573i | \(-0.0500446\pi\) |
−0.981654 | + | 0.190672i | \(0.938933\pi\) | |||||||
\(314\) | −139.700 | − | 80.6557i | −0.444904 | − | 0.256865i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 27.0360 | + | 46.8278i | 0.0855570 | + | 0.148189i | ||||
\(317\) | −140.278 | − | 167.176i | −0.442516 | − | 0.527370i | 0.497974 | − | 0.867192i | \(-0.334078\pi\) |
−0.940490 | + | 0.339822i | \(0.889633\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −51.7165 | + | 293.299i | −0.162121 | + | 0.919432i | ||||
\(320\) | 109.020 | − | 129.925i | 0.340687 | − | 0.406015i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −228.787 | − | 83.2717i | −0.710519 | − | 0.258608i | ||||
\(323\) | 14.2846i | 0.0442249i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −44.6700 | −0.137446 | ||||||||
\(326\) | −15.8261 | + | 43.4818i | −0.0485463 | + | 0.133380i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −73.6244 | − | 61.7782i | −0.224465 | − | 0.188348i | ||||
\(329\) | 128.637 | + | 22.6822i | 0.390995 | + | 0.0689429i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 460.146 | − | 386.109i | 1.39017 | − | 1.16649i | 0.424899 | − | 0.905241i | \(-0.360310\pi\) |
0.965271 | − | 0.261250i | \(-0.0841348\pi\) | |||||||
\(332\) | −72.5849 | + | 41.9069i | −0.218629 | + | 0.126226i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −96.3325 | + | 166.853i | −0.288421 | + | 0.499559i | ||||
\(335\) | 514.875 | − | 90.7863i | 1.53694 | − | 0.271004i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −422.175 | + | 153.659i | −1.25274 | + | 0.455961i | −0.881328 | − | 0.472505i | \(-0.843350\pi\) |
−0.371416 | + | 0.928467i | \(0.621128\pi\) | |||||||
\(338\) | −17.0037 | − | 46.7172i | −0.0503068 | − | 0.138217i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 7.83300 | + | 44.4232i | 0.0230382 | + | 0.130656i | ||||
\(341\) | 224.988 | + | 129.897i | 0.659789 | + | 0.380929i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 68.3305 | + | 118.352i | 0.199214 | + | 0.345049i | ||||
\(344\) | −180.937 | − | 215.633i | −0.525980 | − | 0.626839i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.19544 | + | 12.4510i | −0.00634522 | + | 0.0359855i | ||||
\(347\) | −151.801 | + | 180.909i | −0.437467 | + | 0.521353i | −0.939061 | − | 0.343750i | \(-0.888303\pi\) |
0.501594 | + | 0.865103i | \(0.332747\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −225.323 | − | 82.0110i | −0.645625 | − | 0.234988i | −0.00160737 | − | 0.999999i | \(-0.500512\pi\) |
−0.644018 | + | 0.765010i | \(0.722734\pi\) | |||||||
\(350\) | − | 48.6353i | − | 0.138958i | ||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −385.187 | −1.09428 | ||||||||
\(353\) | −8.75255 | + | 24.0474i | −0.0247948 | + | 0.0681231i | −0.951472 | − | 0.307734i | \(-0.900429\pi\) |
0.926678 | + | 0.375857i | \(0.122652\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 501.697 | + | 420.974i | 1.41323 | + | 1.18584i | ||||
\(356\) | 180.279 | + | 31.7881i | 0.506402 | + | 0.0892923i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 251.311 | − | 210.875i | 0.701986 | − | 0.589037i | ||||
\(359\) | 16.7796 | − | 9.68773i | 0.0467399 | − | 0.0269853i | −0.476448 | − | 0.879203i | \(-0.658076\pi\) |
0.523188 | + | 0.852217i | \(0.324743\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 170.280 | − | 294.934i | 0.471690 | − | 0.816992i | ||||
\(362\) | −124.393 | + | 21.9338i | −0.343626 | + | 0.0605906i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 294.907 | − | 107.338i | 0.810185 | − | 0.294883i | ||||
\(365\) | −167.799 | − | 461.025i | −0.459724 | − | 1.26308i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 67.8469 | + | 384.779i | 0.184869 | + | 1.04844i | 0.926124 | + | 0.377220i | \(0.123120\pi\) |
−0.741254 | + | 0.671224i | \(0.765769\pi\) | |||||||
\(368\) | 28.3201 | + | 16.3506i | 0.0769569 | + | 0.0444311i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −55.1707 | − | 95.5584i | −0.149110 | − | 0.258266i | ||||
\(371\) | 572.999 | + | 682.874i | 1.54447 | + | 1.84063i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −31.0522 | + | 176.106i | −0.0832500 | + | 0.472134i | 0.914471 | + | 0.404653i | \(0.132608\pi\) |
−0.997721 | + | 0.0674817i | \(0.978504\pi\) | |||||||
\(374\) | −27.6907 | + | 33.0005i | −0.0740392 | + | 0.0882365i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 89.9858 | + | 32.7522i | 0.239324 | + | 0.0871068i | ||||
\(377\) | − | 284.862i | − | 0.755603i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.48118 | 0.00918518 | 0.00459259 | − | 0.999989i | \(-0.498538\pi\) | ||||
0.00459259 | + | 0.999989i | \(0.498538\pi\) | |||||||
\(380\) | −22.0756 | + | 60.6523i | −0.0580938 | + | 0.159611i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −96.6094 | − | 81.0649i | −0.252904 | − | 0.212212i | ||||
\(383\) | −16.9648 | − | 2.99135i | −0.0442945 | − | 0.00781031i | 0.151457 | − | 0.988464i | \(-0.451603\pi\) |
−0.195752 | + | 0.980654i | \(0.562715\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −510.155 | + | 428.071i | −1.32508 | + | 1.11187i | ||||
\(386\) | −201.193 | + | 116.159i | −0.521226 | + | 0.300930i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 105.827 | − | 183.298i | 0.272750 | − | 0.472417i | ||||
\(389\) | −311.960 | + | 55.0070i | −0.801955 | + | 0.141406i | −0.559580 | − | 0.828776i | \(-0.689037\pi\) |
−0.242375 | + | 0.970183i | \(0.577926\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 59.1068 | − | 21.5131i | 0.151168 | − | 0.0550208i | ||||
\(392\) | 163.695 | + | 449.747i | 0.417588 | + | 1.14731i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 59.0100 | + | 334.662i | 0.149771 | + | 0.849396i | ||||
\(395\) | 95.0446 | + | 54.8740i | 0.240619 | + | 0.138922i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −134.041 | − | 232.165i | −0.337634 | − | 0.584800i | 0.646353 | − | 0.763039i | \(-0.276293\pi\) |
−0.983987 | + | 0.178239i | \(0.942960\pi\) | |||||||
\(398\) | 61.4238 | + | 73.2020i | 0.154331 | + | 0.183925i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.13433 | + | 6.43312i | −0.00283583 | + | 0.0160828i | ||||
\(401\) | 62.6504 | − | 74.6638i | 0.156235 | − | 0.186194i | −0.682249 | − | 0.731120i | \(-0.738998\pi\) |
0.838484 | + | 0.544926i | \(0.183442\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −233.502 | − | 84.9877i | −0.579409 | − | 0.210888i | ||||
\(404\) | − | 12.6686i | − | 0.0313578i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 310.149 | 0.763914 | ||||||||
\(407\) | −70.9189 | + | 194.848i | −0.174248 | + | 0.478742i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −310.511 | − | 260.550i | −0.759196 | − | 0.637041i | 0.178721 | − | 0.983900i | \(-0.442804\pi\) |
−0.937917 | + | 0.346859i | \(0.887248\pi\) | |||||||
\(410\) | −76.5916 | − | 13.5052i | −0.186809 | − | 0.0329394i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −146.876 | + | 123.243i | −0.356494 | + | 0.299134i | ||||
\(413\) | −622.862 | + | 359.609i | −1.50814 | + | 0.870725i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −85.0569 | + | 147.323i | −0.204956 | + | 0.354995i | ||||
\(416\) | 362.827 | − | 63.9761i | 0.872179 | − | 0.153789i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −57.9236 | + | 21.0825i | −0.138573 | + | 0.0504365i | ||||
\(419\) | −40.1309 | − | 110.259i | −0.0957778 | − | 0.263147i | 0.882547 | − | 0.470225i | \(-0.155827\pi\) |
−0.978325 | + | 0.207077i | \(0.933605\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −90.5287 | − | 513.414i | −0.215032 | − | 1.21951i | −0.880850 | − | 0.473395i | \(-0.843028\pi\) |
0.665818 | − | 0.746115i | \(-0.268083\pi\) | |||||||
\(422\) | 116.473 | + | 67.2459i | 0.276003 | + | 0.159351i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 326.760 | + | 565.966i | 0.770661 | + | 1.33482i | ||||
\(425\) | 8.07654 | + | 9.62524i | 0.0190036 | + | 0.0226476i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −142.815 | + | 809.945i | −0.334462 | + | 1.89683i | ||||
\(428\) | 269.582 | − | 321.275i | 0.629863 | − | 0.750642i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −214.046 | − | 77.9065i | −0.497782 | − | 0.181178i | ||||
\(431\) | 263.580i | 0.611555i | 0.952103 | + | 0.305777i | \(0.0989163\pi\) | ||||
−0.952103 | + | 0.305777i | \(0.901084\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −702.013 | −1.62128 | −0.810639 | − | 0.585547i | \(-0.800880\pi\) | ||||
−0.810639 | + | 0.585547i | \(0.800880\pi\) | |||||||
\(434\) | 92.5320 | − | 254.230i | 0.213207 | − | 0.585782i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −37.7462 | − | 31.6728i | −0.0865738 | − | 0.0726440i | ||||
\(437\) | 88.6353 | + | 15.6288i | 0.202827 | + | 0.0357638i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −339.293 | + | 284.700i | −0.772876 | + | 0.648520i | −0.941444 | − | 0.337170i | \(-0.890530\pi\) |
0.168567 | + | 0.985690i | \(0.446086\pi\) | |||||||
\(440\) | −422.816 | + | 244.113i | −0.960946 | + | 0.554802i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 20.6021 | − | 35.6839i | 0.0466111 | − | 0.0807328i | ||||
\(443\) | 597.623 | − | 105.377i | 1.34904 | − | 0.237871i | 0.547995 | − | 0.836482i | \(-0.315391\pi\) |
0.801040 | + | 0.598610i | \(0.204280\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 349.143 | − | 127.078i | 0.784591 | − | 0.285568i | ||||
\(446\) | −78.7141 | − | 216.265i | −0.176489 | − | 0.484900i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 57.6358 | + | 326.869i | 0.128651 | + | 0.729618i | ||||
\(449\) | 347.745 | + | 200.771i | 0.774488 | + | 0.447151i | 0.834473 | − | 0.551048i | \(-0.185772\pi\) |
−0.0599853 | + | 0.998199i | \(0.519105\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 73.0755 | + | 126.570i | 0.162030 | + | 0.280644i | ||||
\(452\) | 30.7136 | + | 36.6030i | 0.0679504 | + | 0.0809801i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.03861 | + | 5.89024i | −0.00228769 | + | 0.0129741i | ||||
\(455\) | 409.441 | − | 487.953i | 0.899870 | − | 1.07242i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 138.241 | + | 50.3155i | 0.302496 | + | 0.110099i | 0.488809 | − | 0.872391i | \(-0.337432\pi\) |
−0.186313 | + | 0.982490i | \(0.559654\pi\) | |||||||
\(458\) | − | 410.223i | − | 0.895683i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 284.213 | 0.617855 | ||||||||
\(461\) | 268.627 | − | 738.046i | 0.582705 | − | 1.60097i | −0.200834 | − | 0.979625i | \(-0.564365\pi\) |
0.783539 | − | 0.621343i | \(-0.213412\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −274.591 | − | 230.409i | −0.593069 | − | 0.497644i | 0.296141 | − | 0.955144i | \(-0.404300\pi\) |
−0.889209 | + | 0.457501i | \(0.848745\pi\) | |||||||
\(464\) | −41.0243 | − | 7.23369i | −0.0884144 | − | 0.0155898i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −125.007 | + | 104.894i | −0.268256 | + | 0.225094i | ||||
\(467\) | −88.2727 | + | 50.9643i | −0.189021 | + | 0.109131i | −0.591524 | − | 0.806287i | \(-0.701474\pi\) |
0.402503 | + | 0.915419i | \(0.368140\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −511.569 | + | 886.063i | −1.09077 | + | 1.88926i | ||||
\(470\) | 76.3135 | − | 13.4561i | 0.162369 | − | 0.0286300i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −495.473 | + | 180.337i | −1.04973 | + | 0.382071i | ||||
\(473\) | 146.402 | + | 402.235i | 0.309517 | + | 0.850391i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.12199 | + | 17.7057i | 0.00657261 | + | 0.0372751i | ||||
\(476\) | −76.4491 | − | 44.1379i | −0.160607 | − | 0.0927267i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −85.7219 | − | 148.475i | −0.179334 | − | 0.310616i | ||||
\(479\) | 81.2290 | + | 96.8049i | 0.169580 | + | 0.202098i | 0.844141 | − | 0.536122i | \(-0.180111\pi\) |
−0.674560 | + | 0.738220i | \(0.735667\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 34.4395 | − | 195.316i | 0.0715997 | − | 0.406062i | ||||
\(482\) | 227.169 | − | 270.730i | 0.471306 | − | 0.561680i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 42.1705 | + | 15.3488i | 0.0871292 | + | 0.0317124i | ||||
\(485\) | − | 429.586i | − | 0.885745i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 454.010 | 0.932258 | 0.466129 | − | 0.884717i | \(-0.345648\pi\) | ||||
0.466129 | + | 0.884717i | \(0.345648\pi\) | |||||||
\(488\) | −206.219 | + | 566.582i | −0.422580 | + | 1.16103i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 296.687 | + | 248.950i | 0.605483 | + | 0.508061i | ||||
\(491\) | −311.285 | − | 54.8880i | −0.633982 | − | 0.111788i | −0.152585 | − | 0.988290i | \(-0.548760\pi\) |
−0.481398 | + | 0.876502i | \(0.659871\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −61.3806 | + | 51.5044i | −0.124504 | + | 0.104471i | ||||
\(494\) | 51.0594 | − | 29.4792i | 0.103359 | − | 0.0596744i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −18.1689 | + | 31.4695i | −0.0366309 | + | 0.0634466i | ||||
\(497\) | −1262.19 | + | 222.557i | −2.53961 | + | 0.447802i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −114.898 | + | 41.8195i | −0.230257 | + | 0.0838066i | −0.454572 | − | 0.890710i | \(-0.650208\pi\) |
0.224315 | + | 0.974517i | \(0.427986\pi\) | |||||||
\(500\) | −102.654 | − | 282.041i | −0.205309 | − | 0.564081i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −25.1577 | − | 142.677i | −0.0501150 | − | 0.284217i | ||||
\(503\) | −391.041 | − | 225.768i | −0.777418 | − | 0.448843i | 0.0580963 | − | 0.998311i | \(-0.481497\pi\) |
−0.835515 | + | 0.549468i | \(0.814830\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.8565 | − | 22.2680i | −0.0254583 | − | 0.0440951i | ||||
\(506\) | 174.470 | + | 207.925i | 0.344802 | + | 0.410918i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −71.9431 | + | 408.010i | −0.141620 | + | 0.803169i | ||||
\(509\) | −321.207 | + | 382.800i | −0.631055 | + | 0.752063i | −0.982929 | − | 0.183985i | \(-0.941100\pi\) |
0.351874 | + | 0.936047i | \(0.385545\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 902.211 | + | 328.378i | 1.76558 | + | 0.642618i | ||||
\(512\) | − | 104.621i | − | 0.204338i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −530.596 | −1.03229 | ||||||||
\(515\) | −133.098 | + | 365.684i | −0.258443 | + | 0.710065i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −111.552 | − | 93.6029i | −0.215767 | − | 0.181050i | ||||
\(518\) | 212.654 | + | 37.4966i | 0.410529 | + | 0.0723873i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 357.726 | − | 300.168i | 0.687935 | − | 0.577246i | ||||
\(521\) | −595.632 | + | 343.888i | −1.14325 | + | 0.660054i | −0.947233 | − | 0.320546i | \(-0.896133\pi\) |
−0.196015 | + | 0.980601i | \(0.562800\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 260.218 | − | 450.711i | 0.497549 | − | 0.861780i | −0.502447 | − | 0.864608i | \(-0.667567\pi\) |
0.999996 | + | 0.00282784i | \(0.000900130\pi\) | |||||||
\(524\) | 257.319 | − | 45.3723i | 0.491067 | − | 0.0865884i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 510.506 | − | 185.809i | 0.970543 | − | 0.353249i | ||||
\(527\) | 23.9055 | + | 65.6799i | 0.0453615 | + | 0.124630i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 23.0409 | + | 130.671i | 0.0435555 | + | 0.247016i | ||||
\(530\) | 457.985 | + | 264.418i | 0.864123 | + | 0.498902i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −63.1561 | − | 109.390i | −0.118715 | − | 0.205620i | ||||
\(533\) | −89.8556 | − | 107.086i | −0.168585 | − | 0.200911i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 147.814 | − | 838.297i | 0.276289 | − | 1.56691i | ||||
\(536\) | −482.141 | + | 574.594i | −0.899518 | + | 1.07200i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −345.884 | − | 125.891i | −0.642907 | − | 0.233999i | ||||
\(539\) | − | 727.808i | − | 1.35029i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 803.120 | 1.48451 | 0.742255 | − | 0.670117i | \(-0.233756\pi\) | ||||
0.742255 | + | 0.670117i | \(0.233756\pi\) | |||||||
\(542\) | −45.9406 | + | 126.221i | −0.0847613 | + | 0.232880i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −79.3859 | − | 66.6127i | −0.145930 | − | 0.122450i | ||||
\(545\) | −98.4905 | − | 17.3665i | −0.180717 | − | 0.0318652i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −52.6185 | + | 44.1522i | −0.0961947 | + | 0.0807169i | −0.689617 | − | 0.724175i | \(-0.742221\pi\) |
0.593422 | + | 0.804891i | \(0.297777\pi\) | |||||||
\(548\) | 150.803 | − | 87.0659i | 0.275187 | − | 0.158879i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −27.1099 | + | 46.9557i | −0.0492907 | + | 0.0853741i | ||||
\(551\) | −112.910 | + | 19.9091i | −0.204918 | + | 0.0361326i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −201.821 | + | 73.4568i | −0.364957 | + | 0.132833i | ||||
\(554\) | −45.7848 | − | 125.793i | −0.0826441 | − | 0.227063i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −57.7064 | − | 327.269i | −0.103789 | − | 0.588614i | ||||
\(557\) | 575.120 | + | 332.045i | 1.03253 | + | 0.596132i | 0.917709 | − | 0.397254i | \(-0.130037\pi\) |
0.114822 | + | 0.993386i | \(0.463370\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −204.710 | − | 354.569i | −0.366208 | − | 0.634291i | ||||
\(560\) | −59.8751 | − | 71.3563i | −0.106920 | − | 0.127422i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −16.4489 | + | 93.2861i | −0.0292684 | + | 0.165990i | ||||
\(563\) | −223.468 | + | 266.319i | −0.396924 | + | 0.473036i | −0.927080 | − | 0.374865i | \(-0.877689\pi\) |
0.530155 | + | 0.847901i | \(0.322134\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 91.1323 | + | 33.1694i | 0.161296 | + | 0.0587070i | ||||
\(566\) | 484.283i | 0.855623i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −939.603 | −1.65423 | ||||||||
\(569\) | 133.736 | − | 367.437i | 0.235037 | − | 0.645760i | −0.764961 | − | 0.644076i | \(-0.777242\pi\) |
0.999999 | − | 0.00168357i | \(-0.000535897\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 655.523 | + | 550.049i | 1.14803 | + | 0.963309i | 0.999672 | − | 0.0256252i | \(-0.00815764\pi\) |
0.148355 | + | 0.988934i | \(0.452602\pi\) | |||||||
\(572\) | −344.555 | − | 60.7543i | −0.602368 | − | 0.106214i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 116.592 | − | 97.8320i | 0.203121 | − | 0.170439i | ||||
\(575\) | 68.5606 | − | 39.5835i | 0.119236 | − | 0.0688408i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 313.746 | − | 543.423i | 0.543753 | − | 0.941808i | −0.454931 | − | 0.890527i | \(-0.650336\pi\) |
0.998684 | − | 0.0512815i | \(-0.0163306\pi\) | |||||||
\(578\) | 319.007 | − | 56.2495i | 0.551915 | − | 0.0973175i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −340.216 | + | 123.829i | −0.586580 | + | 0.213498i | ||||
\(581\) | −113.861 | − | 312.831i | −0.195974 | − | 0.538435i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −172.569 | − | 978.689i | −0.296002 | − | 1.67871i | ||||
\(584\) | 609.573 | + | 351.937i | 1.04379 | + | 0.602632i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −200.750 | − | 347.709i | −0.342576 | − | 0.593359i | ||||
\(587\) | −478.592 | − | 570.364i | −0.815319 | − | 0.971659i | 0.184619 | − | 0.982810i | \(-0.440895\pi\) |
−0.999938 | + | 0.0111512i | \(0.996450\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −17.3668 | + | 98.4921i | −0.0294853 | + | 0.167219i | ||||
\(590\) | −274.260 | + | 326.851i | −0.464848 | + | 0.553984i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −27.2538 | − | 9.91957i | −0.0460368 | − | 0.0167560i | ||||
\(593\) | − | 625.722i | − | 1.05518i | −0.849499 | − | 0.527591i | \(-0.823096\pi\) | ||
0.849499 | − | 0.527591i | \(-0.176904\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −179.170 | −0.301126 | ||||||||
\(596\) | 183.012 | − | 502.822i | 0.307067 | − | 0.843661i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −198.876 | − | 166.877i | −0.332568 | − | 0.279058i | ||||
\(599\) | 564.336 | + | 99.5077i | 0.942130 | + | 0.166123i | 0.623559 | − | 0.781776i | \(-0.285686\pi\) |
0.318571 | + | 0.947899i | \(0.396797\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 866.763 | − | 727.301i | 1.44220 | − | 1.21015i | 0.504169 | − | 0.863605i | \(-0.331799\pi\) |
0.938033 | − | 0.346546i | \(-0.112645\pi\) | |||||||
\(602\) | 386.043 | − | 222.882i | 0.641268 | − | 0.370236i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −169.925 | + | 294.319i | −0.281333 | + | 0.487283i | ||||
\(605\) | 89.7013 | − | 15.8168i | 0.148267 | − | 0.0261434i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 218.454 | − | 79.5107i | 0.359891 | − | 0.130990i | −0.155745 | − | 0.987797i | \(-0.549778\pi\) |
0.515636 | + | 0.856808i | \(0.327556\pi\) | |||||||
\(608\) | −50.7160 | − | 139.341i | −0.0834144 | − | 0.229179i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 84.7244 | + | 480.496i | 0.138892 | + | 0.787698i | ||||
\(611\) | 120.623 | + | 69.6414i | 0.197418 | + | 0.113979i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 533.889 | + | 924.724i | 0.870945 | + | 1.50852i | 0.861020 | + | 0.508571i | \(0.169826\pi\) |
0.00992514 | + | 0.999951i | \(0.496841\pi\) | |||||||
\(614\) | −430.838 | − | 513.453i | −0.701691 | − | 0.836243i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 165.911 | − | 940.927i | 0.269336 | − | 1.52748i | ||||
\(617\) | 271.097 | − | 323.080i | 0.439378 | − | 0.523631i | −0.500225 | − | 0.865895i | \(-0.666749\pi\) |
0.939604 | + | 0.342264i | \(0.111194\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −564.604 | − | 205.499i | −0.912123 | − | 0.331986i | −0.157023 | − | 0.987595i | \(-0.550190\pi\) |
−0.755100 | + | 0.655609i | \(0.772412\pi\) | |||||||
\(620\) | 315.820i | 0.509386i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 521.392 | 0.838250 | ||||||||
\(623\) | −248.687 | + | 683.262i | −0.399177 | + | 1.09673i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −542.822 | − | 455.482i | −0.868515 | − | 0.728771i | ||||
\(626\) | −12.3909 | − | 2.18484i | −0.0197937 | − | 0.00349016i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −282.294 | + | 236.873i | −0.449513 | + | 0.377186i | ||||
\(629\) | −48.3124 | + | 27.8932i | −0.0768083 | + | 0.0443453i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 554.621 | − | 960.632i | 0.878956 | − | 1.52240i | 0.0264679 | − | 0.999650i | \(-0.491574\pi\) |
0.852488 | − | 0.522747i | \(-0.175093\pi\) | |||||||
\(632\) | −155.062 | + | 27.3416i | −0.245351 | + | 0.0432620i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 238.081 | − | 86.6545i | 0.375522 | − | 0.136679i | ||||
\(635\) | 287.604 | + | 790.185i | 0.452919 | + | 1.24439i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 120.882 | + | 685.557i | 0.189768 | + | 1.07623i | ||||
\(638\) | −299.439 | − | 172.881i | −0.469340 | − | 0.270973i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −254.659 | − | 441.082i | −0.397904 | − | 0.689191i | ||||
\(641\) | −106.234 | − | 126.604i | −0.165731 | − | 0.197511i | 0.676787 | − | 0.736179i | \(-0.263372\pi\) |
−0.842518 | + | 0.538669i | \(0.818928\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 137.985 | − | 782.552i | 0.214596 | − | 1.21703i | −0.667011 | − | 0.745048i | \(-0.732427\pi\) |
0.881607 | − | 0.471985i | \(-0.156462\pi\) | |||||||
\(644\) | −357.516 | + | 426.071i | −0.555149 | + | 0.661601i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −15.5838 | − | 5.67204i | −0.0241235 | − | 0.00878024i | ||||
\(647\) | − | 222.504i | − | 0.343900i | −0.985106 | − | 0.171950i | \(-0.944993\pi\) | ||
0.985106 | − | 0.171950i | \(-0.0550068\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 801.803 | 1.23544 | ||||||||
\(650\) | 17.7372 | − | 48.7326i | 0.0272880 | − | 0.0749732i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 80.9765 | + | 67.9473i | 0.124197 | + | 0.104214i | ||||
\(653\) | 459.398 | + | 81.0043i | 0.703520 | + | 0.124050i | 0.513953 | − | 0.857818i | \(-0.328181\pi\) |
0.189567 | + | 0.981868i | \(0.439292\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 406.255 | − | 340.888i | 0.620237 | − | 0.520440i | ||||
\(656\) | −17.7037 | + | 10.2212i | −0.0269873 | + | 0.0155811i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −75.8234 | + | 131.330i | −0.115233 | + | 0.199590i | ||||
\(659\) | 205.109 | − | 36.1663i | 0.311244 | − | 0.0548806i | −0.0158446 | − | 0.999874i | \(-0.505044\pi\) |
0.327088 | + | 0.944994i | \(0.393933\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 595.560 | − | 216.766i | 0.900999 | − | 0.327937i | 0.150346 | − | 0.988633i | \(-0.451961\pi\) |
0.750653 | + | 0.660697i | \(0.229739\pi\) | |||||||
\(662\) | 238.513 | + | 655.309i | 0.360291 | + | 0.989892i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −42.3805 | − | 240.352i | −0.0638261 | − | 0.361976i | ||||
\(665\) | −222.024 | − | 128.186i | −0.333871 | − | 0.192760i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 252.425 | + | 437.214i | 0.378449 | + | 0.655493i | ||||
\(668\) | 282.913 | + | 337.163i | 0.423523 | + | 0.504735i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −105.400 | + | 597.750i | −0.157313 | + | 0.892165i | ||||
\(671\) | 589.356 | − | 702.367i | 0.878325 | − | 1.04675i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −103.386 | − | 37.6293i | −0.153619 | − | 0.0559128i | 0.264066 | − | 0.964505i | \(-0.414936\pi\) |
−0.417685 | + | 0.908592i | \(0.637159\pi\) | |||||||
\(674\) | − | 521.584i | − | 0.773864i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −113.573 | −0.168007 | ||||||||
\(677\) | 48.9221 | − | 134.412i | 0.0722631 | − | 0.198541i | −0.898303 | − | 0.439377i | \(-0.855199\pi\) |
0.970566 | + | 0.240836i | \(0.0774215\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 644.003 | + | 540.383i | 0.948458 | + | 0.795851i | ||||
\(680\) | −129.357 | − | 22.8091i | −0.190231 | − | 0.0335429i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −231.047 | + | 193.872i | −0.338779 | + | 0.284269i | ||||
\(683\) | 784.050 | − | 452.671i | 1.14795 | − | 0.662769i | 0.199563 | − | 0.979885i | \(-0.436048\pi\) |
0.948387 | + | 0.317116i | \(0.102714\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 176.714 | − | 306.078i | 0.257977 | − | 0.446830i | ||||
\(686\) | −156.248 | + | 27.5507i | −0.227767 | + | 0.0401614i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −56.2614 | + | 20.4775i | −0.0817753 | + | 0.0297638i | ||||
\(689\) | 325.103 | + | 893.212i | 0.471847 | + | 1.29639i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 92.3826 | + | 523.928i | 0.133694 | + | 0.758217i | 0.975760 | + | 0.218842i | \(0.0702280\pi\) |
−0.842066 | + | 0.539374i | \(0.818661\pi\) | |||||||
\(692\) | 25.0130 | + | 14.4413i | 0.0361459 | + | 0.0208689i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −137.087 | − | 237.441i | −0.197531 | − | 0.342134i | ||||
\(695\) | −433.556 | − | 516.692i | −0.623822 | − | 0.743442i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.82794 | + | 38.7232i | −0.00979618 | + | 0.0555569i | ||||
\(698\) | 178.939 | − | 213.252i | 0.256360 | − | 0.305518i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −104.405 | − | 38.0002i | −0.149150 | − | 0.0542860i | ||||
\(701\) | 905.026i | 1.29105i | 0.763739 | + | 0.645525i | \(0.223361\pi\) | ||||
−0.763739 | + | 0.645525i | \(0.776639\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −79.8237 | −0.113547 | ||||||||
\(704\) | 126.555 | − | 347.708i | 0.179766 | − | 0.493903i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −22.7591 | − | 19.0972i | −0.0322367 | − | 0.0270498i | ||||
\(707\) | 49.5549 | + | 8.73786i | 0.0700918 | + | 0.0123591i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −278.738 | + | 233.889i | −0.393142 | + | 0.329885i | −0.817836 | − | 0.575452i | \(-0.804826\pi\) |
0.424694 | + | 0.905337i | \(0.360382\pi\) | |||||||
\(710\) | −658.471 | + | 380.168i | −0.927424 | + | 0.535449i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −266.529 | + | 461.642i | −0.374338 | + | 0.648373i | ||||
\(713\) | 433.695 | − | 76.4721i | 0.608268 | − | 0.107254i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −667.292 | + | 242.875i | −0.933276 | + | 0.339685i | ||||
\(716\) | −256.326 | − | 704.249i | −0.357997 | − | 0.983588i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.90607 | + | 22.1524i | 0.00544021 | + | 0.0308530i | ||||
\(719\) | −389.328 | − | 224.778i | −0.541485 | − | 0.312626i | 0.204196 | − | 0.978930i | \(-0.434542\pi\) |
−0.745680 | + | 0.666304i | \(0.767875\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −380.779 | − | 659.529i | −0.528127 | − | 0.914742i | ||||
\(722\) | 254.144 | + | 302.877i | 0.352000 | + | 0.419497i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −50.1068 | + | 284.170i | −0.0692083 | + | 0.392500i | ||||
\(725\) | −64.8241 | + | 77.2544i | −0.0894126 | + | 0.106558i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −544.426 | − | 198.155i | −0.748866 | − | 0.272565i | −0.0607376 | − | 0.998154i | \(-0.519345\pi\) |
−0.688129 | + | 0.725589i | \(0.741568\pi\) | |||||||
\(728\) | 913.862i | 1.25530i | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 569.582 | 0.780250 | ||||||||
\(731\) | −39.3880 | + | 108.218i | −0.0538823 | + | 0.148040i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 717.264 | + | 601.856i | 0.978532 | + | 0.821086i | 0.983867 | − | 0.178900i | \(-0.0572538\pi\) |
−0.00533530 | + | 0.999986i | \(0.501698\pi\) | |||||||
\(734\) | −446.714 | − | 78.7677i | −0.608602 | − | 0.107313i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −500.184 | + | 419.704i | −0.679598 | + | 0.570250i | ||||
\(737\) | 987.805 | − | 570.310i | 1.34031 | − | 0.773826i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −263.918 | + | 457.119i | −0.357128 | + | 0.618564i | −0.987480 | − | 0.157746i | \(-0.949577\pi\) |
0.630352 | + | 0.776310i | \(0.282911\pi\) | |||||||
\(740\) | −248.240 | + | 43.7715i | −0.335460 | + | 0.0591506i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −972.502 | + | 353.962i | −1.31065 | + | 0.477037i | ||||
\(743\) | 12.5973 | + | 34.6108i | 0.0169547 | + | 0.0465825i | 0.947881 | − | 0.318624i | \(-0.103221\pi\) |
−0.930927 | + | 0.365206i | \(0.880998\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −188.592 | − | 1069.56i | −0.253143 | − | 1.43565i | ||||
\(746\) | −179.793 | − | 103.803i | −0.241009 | − | 0.139146i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 49.2061 | + | 85.2274i | 0.0657835 | + | 0.113940i | ||||
\(749\) | 1070.77 | + | 1276.10i | 1.42960 | + | 1.70374i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 17.1046 | − | 97.0050i | 0.0227758 | − | 0.129168i | −0.971300 | − | 0.237858i | \(-0.923555\pi\) |
0.994076 | + | 0.108691i | \(0.0346657\pi\) | |||||||
\(752\) | 13.0924 | − | 15.6029i | 0.0174101 | − | 0.0207486i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 310.770 | + | 113.111i | 0.412161 | + | 0.150015i | ||||
\(755\) | 689.781i | 0.913617i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1385.09 | −1.82971 | −0.914857 | − | 0.403779i | \(-0.867697\pi\) | ||||
−0.914857 | + | 0.403779i | \(0.867697\pi\) | |||||||
\(758\) | −1.38228 | + | 3.79779i | −0.00182359 | + | 0.00501027i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −143.978 | − | 120.812i | −0.189445 | − | 0.158963i | ||||
\(761\) | −1432.82 | − | 252.644i | −1.88281 | − | 0.331990i | −0.890419 | − | 0.455142i | \(-0.849589\pi\) |
−0.992388 | + | 0.123152i | \(0.960700\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 149.927 | − | 125.804i | 0.196497 | − | 0.164881i | ||||
\(764\) | −249.505 | + | 144.052i | −0.326577 | + | 0.188549i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.99966 | − | 17.3199i | 0.0130544 | − | 0.0226109i | ||||
\(767\) | −755.257 | + | 133.172i | −0.984690 | + | 0.173627i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 94.0313 | − | 34.2246i | 0.122277 | − | 0.0445053i | −0.280157 | − | 0.959954i | \(-0.590386\pi\) |
0.402434 | + | 0.915449i | \(0.368164\pi\) | |||||||
\(770\) | −264.434 | − | 726.527i | −0.343421 | − | 0.943542i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 92.1586 | + | 522.657i | 0.119376 | + | 0.677017i | ||||
\(773\) | −547.928 | − | 316.347i | −0.708834 | − | 0.409245i | 0.101795 | − | 0.994805i | \(-0.467541\pi\) |
−0.810629 | + | 0.585560i | \(0.800875\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 43.9854 | + | 76.1850i | 0.0567554 | + | 0.0983032i | ||||
\(776\) | 396.163 | + | 472.129i | 0.510520 | + | 0.608414i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 63.8611 | − | 362.174i | 0.0820837 | − | 0.465520i | ||||
\(779\) | −36.1652 | + | 43.1000i | −0.0464251 | + | 0.0553273i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1342.65 | + | 488.686i | 1.71915 | + | 0.625718i | ||||
\(782\) | 73.0247i | 0.0933820i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 101.800 | 0.129847 | ||||||||
\(785\) | −255.813 | + | 702.841i | −0.325877 | + | 0.895339i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −624.837 | − | 524.300i | −0.793948 | − | 0.666201i | 0.152771 | − | 0.988262i | \(-0.451180\pi\) |
−0.946719 | + | 0.322060i | \(0.895625\pi\) | |||||||
\(788\) | 764.521 | + | 134.806i | 0.970204 | + | 0.171073i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −97.6043 | + | 81.8997i | −0.123550 | + | 0.103671i | ||||
\(791\) | −164.362 | + | 94.8944i | −0.207790 | + | 0.119968i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −438.486 | + | 759.481i | −0.552946 | + | 0.957731i | ||||
\(794\) | 306.504 | − | 54.0450i | 0.386026 | − | 0.0680667i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 205.134 | − | 74.6626i | 0.257706 | − | 0.0937973i | ||||
\(797\) | −428.448 | − | 1177.15i | −0.537576 | − | 1.47698i | −0.849870 | − | 0.526992i | \(-0.823320\pi\) |
0.312295 | − | 0.949985i | \(-0.398902\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.80315 | − | 38.5826i | −0.00851458 | − | 0.0482886i | ||||
\(800\) | −112.957 | − | 65.2156i | −0.141196 | − | 0.0815196i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 56.5776 | + | 97.9952i | 0.0705456 | + | 0.122189i | ||||
\(803\) | −688.013 | − | 819.941i | −0.856803 | − | 1.02110i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −196.030 | + | 1111.74i | −0.243515 | + | 1.38104i | ||||
\(806\) | 185.434 | − | 220.992i | 0.230067 | − | 0.274184i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 34.6652 | + | 12.6171i | 0.0429025 | + | 0.0156152i | ||||
\(809\) | − | 1021.88i | − | 1.26313i | −0.775321 | − | 0.631567i | \(-0.782412\pi\) | ||
0.775321 | − | 0.631567i | \(-0.217588\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −365.788 | −0.451034 | −0.225517 | − | 0.974239i | \(-0.572407\pi\) | ||||
−0.225517 | + | 0.974239i | \(0.572407\pi\) | |||||||
\(812\) | 242.329 | − | 665.793i | 0.298434 | − | 0.819942i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −184.409 | − | 154.738i | −0.226547 | − | 0.190095i | ||||
\(815\) | 211.291 | + | 37.2562i | 0.259252 | + | 0.0457132i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −126.232 | + | 105.921i | −0.154507 | + | 0.129647i | ||||
\(818\) | 407.542 | − | 235.294i | 0.498217 | − | 0.287646i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −88.8346 | + | 153.866i | −0.108335 | + | 0.187641i | ||||
\(821\) | 9.54867 | − | 1.68369i | 0.0116305 | − | 0.00205078i | −0.167830 | − | 0.985816i | \(-0.553676\pi\) |
0.179460 | + | 0.983765i | \(0.442565\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.839980 | + | 0.305728i | −0.00102063 | + | 0.000371480i | −0.342530 | − | 0.939507i | \(-0.611284\pi\) |
0.341510 | + | 0.939878i | \(0.389062\pi\) | |||||||
\(824\) | −190.954 | − | 524.641i | −0.231740 | − | 0.636700i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −144.994 | − | 822.301i | −0.175537 | − | 0.995521i | ||||
\(827\) | −583.611 | − | 336.948i | −0.705696 | − | 0.407434i | 0.103769 | − | 0.994601i | \(-0.466910\pi\) |
−0.809465 | + | 0.587168i | \(0.800243\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.4804 | − | 25.0808i | −0.0174673 | − | 0.0302542i | 0.857160 | − | 0.515051i | \(-0.172227\pi\) |
−0.874627 | + | 0.484797i | \(0.838894\pi\) | |||||||
\(830\) | −126.948 | − | 151.291i | −0.152949 | − | 0.182278i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −61.4574 | + | 348.542i | −0.0738671 | + | 0.418921i | ||||
\(833\) | 125.864 | − | 149.999i | 0.151097 | − | 0.180071i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 839.451 | + | 305.535i | 1.00533 | + | 0.365910i | ||||
\(836\) | 140.816i | 0.168440i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 136.221 | 0.162555 | ||||||||
\(839\) | −218.453 | + | 600.196i | −0.260374 | + | 0.715371i | 0.738769 | + | 0.673959i | \(0.235408\pi\) |
−0.999142 | + | 0.0414115i | \(0.986815\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 151.589 | + | 127.199i | 0.180249 | + | 0.151247i | ||||
\(842\) | 596.054 | + | 105.100i | 0.707903 | + | 0.124822i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 235.360 | − | 197.490i | 0.278862 | − | 0.233993i | ||||
\(845\) | −199.631 | + | 115.257i | −0.236250 | + | 0.136399i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −89.1253 | + | 154.370i | −0.105225 | + | 0.182254i | ||||
\(848\) | 136.891 | − | 24.1376i | 0.161428 | − | 0.0284641i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −13.7076 | + | 4.98916i | −0.0161266 | + | 0.00586960i | ||||
\(851\) | 120.217 | + | 330.294i | 0.141266 | + | 0.388124i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 134.939 | + | 765.276i | 0.158193 | + | 0.897158i | 0.955808 | + | 0.293991i | \(0.0949836\pi\) |
−0.797615 | + | 0.603167i | \(0.793905\pi\) | |||||||
\(854\) | −826.899 | − | 477.410i | −0.968266 | − | 0.559029i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 610.623 | + | 1057.63i | 0.713345 | + | 1.23555i | ||||
\(857\) | 692.170 | + | 824.896i | 0.807666 | + | 0.962539i | 0.999823 | − | 0.0188256i | \(-0.00599273\pi\) |
−0.192157 | + | 0.981364i | \(0.561548\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.0627 | + | 79.7538i | −0.0163711 | + | 0.0928449i | −0.991899 | − | 0.127033i | \(-0.959455\pi\) |
0.975527 | + | 0.219878i | \(0.0705658\pi\) | |||||||
\(860\) | −334.481 | + | 398.619i | −0.388932 | + | 0.463511i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −287.552 | − | 104.660i | −0.333587 | − | 0.121416i | ||||
\(863\) | 1599.17i | 1.85304i | 0.376244 | + | 0.926520i | \(0.377215\pi\) | ||||
−0.376244 | + | 0.926520i | \(0.622785\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 58.6217 | 0.0677708 | ||||||||
\(866\) | 278.750 | − | 765.860i | 0.321882 | − | 0.884365i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −473.453 | − | 397.274i | −0.545453 | − | 0.457689i | ||||
\(869\) | 235.797 | + | 41.5774i | 0.271343 | + | 0.0478451i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −835.738 | + | 701.268i | −0.959516 | + | 0.805130i | ||||
\(872\) | 124.260 | − | 71.7413i | 0.142500 | − | 0.0822722i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −52.2449 | + | 90.4908i | −0.0597767 | + | 0.103536i | ||||
\(875\) | 1174.05 | − | 207.016i | 1.34177 | − | 0.236590i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 355.751 | − | 129.483i | 0.405646 | − | 0.147643i | −0.131135 | − | 0.991364i | \(-0.541862\pi\) |
0.536781 | + | 0.843721i | \(0.319640\pi\) | |||||||
\(878\) | −175.869 | − | 483.197i | −0.200307 | − | 0.550339i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 18.0325 | + | 102.267i | 0.0204915 | + | 0.116213i | ||||
\(881\) | −1046.81 | − | 604.374i | −1.18820 | − | 0.686009i | −0.230305 | − | 0.973119i | \(-0.573972\pi\) |
−0.957898 | + | 0.287109i | \(0.907306\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 298.144 | + | 516.401i | 0.337649 | + | 0.584826i | 0.983990 | − | 0.178223i | \(-0.0570349\pi\) |
−0.646341 | + | 0.763049i | \(0.723702\pi\) | |||||||
\(884\) | −60.5051 | − | 72.1071i | −0.0684447 | − | 0.0815692i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −122.339 | + | 693.818i | −0.138080 | + | 0.783090i | ||||
\(887\) | 65.2823 | − | 77.8005i | 0.0735990 | − | 0.0877119i | −0.727989 | − | 0.685589i | \(-0.759545\pi\) |
0.801588 | + | 0.597877i | \(0.203989\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1546.37 | − | 562.831i | −1.73945 | − | 0.633106i | ||||
\(890\) | 431.356i | 0.484670i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −525.755 | −0.589412 | ||||||||
\(893\) | 19.1732 | − | 52.6780i | 0.0214706 | − | 0.0589899i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1165.25 | − | 977.759i | −1.30195 | − | 1.09247i | ||||
\(896\) | 981.576 | + | 173.078i | 1.09551 | + | 0.193168i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −357.110 | + | 299.651i | −0.397673 | + | 0.333687i | ||||
\(899\) | −485.835 | + | 280.497i | −0.540417 | + | 0.312010i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 133.684 | − | 231.548i | 0.148373 | − | 0.256990i | ||||
\(902\) | −167.098 | + | 29.4639i | −0.185253 | + | 0.0326651i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −130.746 | + | 47.5877i | −0.144631 | + | 0.0526413i | ||||
\(905\) | 200.310 | + | 550.346i | 0.221337 | + | 0.608117i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 299.653 | + | 1699.41i | 0.330378 | + | 1.87367i | 0.468818 | + | 0.883295i | \(0.344680\pi\) |
−0.138440 | + | 0.990371i | \(0.544209\pi\) | |||||||
\(908\) | 11.8330 | + | 6.83179i | 0.0130319 | + | 0.00752400i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 369.753 | + | 640.431i | 0.406322 | + | 0.703771i | ||||
\(911\) | 201.005 | + | 239.549i | 0.220642 | + | 0.262951i | 0.864999 | − | 0.501774i | \(-0.167319\pi\) |
−0.644356 | + | 0.764725i | \(0.722875\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −64.4466 | + | 365.495i | −0.0705878 | + | 0.400323i | ||||
\(914\) | −109.783 | + | 130.834i | −0.120113 | + | 0.143145i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −880.619 | − | 320.519i | −0.961375 | − | 0.349912i | ||||
\(917\) | 1037.84i | 1.13177i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 198.504 | 0.216000 | 0.108000 | − | 0.994151i | \(-0.465555\pi\) | ||||
0.108000 | + | 0.994151i | \(0.465555\pi\) | |||||||
\(920\) | −283.059 | + | 777.698i | −0.307673 | + | 0.845324i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 698.505 | + | 586.116i | 0.757598 | + | 0.635700i | ||||
\(923\) | −1345.88 | − | 237.315i | −1.45816 | − | 0.257112i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −53.7866 | + | 45.1324i | −0.0581477 | + | 0.0487917i | ||||
\(926\) | 360.397 | − | 208.075i | 0.389197 | − | 0.224703i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 415.883 | − | 720.330i | 0.448149 | − | 0.776218i | ||||
\(929\) | −1309.55 | + | 230.908i | −1.40963 | + | 0.248556i | −0.826095 | − | 0.563531i | \(-0.809442\pi\) |
−0.583536 | + | 0.812087i | \(0.698331\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 263.284 | − | 95.8274i | 0.282797 | − | 0.102930i | ||||
\(932\) | 127.502 | + | 350.308i | 0.136804 | + | 0.375867i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −20.5487 | − | 116.537i | −0.0220008 | − | 0.124772i | ||||
\(935\) | 172.983 | + | 99.8717i | 0.185008 | + | 0.106815i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −675.671 | − | 1170.30i | −0.721100 | − | 1.24898i | −0.960559 | − | 0.278076i | \(-0.910303\pi\) |
0.239459 | − | 0.970906i | \(-0.423030\pi\) | |||||||
\(938\) | −763.519 | − | 909.926i | −0.813986 | − | 0.970071i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 30.7399 | − | 174.335i | 0.0327020 | − | 0.185462i | ||||
\(941\) | 499.617 | − | 595.420i | 0.530942 | − | 0.632752i | −0.432189 | − | 0.901783i | \(-0.642259\pi\) |
0.963132 | + | 0.269031i | \(0.0867033\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 232.805 | + | 84.7340i | 0.246877 | + | 0.0898557i | ||||
\(944\) | 112.150i | 0.118803i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −496.949 | −0.525316 | ||||||||
\(947\) | 93.8130 | − | 257.749i | 0.0990634 | − | 0.272174i | −0.880255 | − | 0.474502i | \(-0.842628\pi\) |
0.979318 | + | 0.202327i | \(0.0648505\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 784.257 | + | 658.070i | 0.826404 | + | 0.693435i | ||||
\(950\) | −20.5556 | − | 3.62451i | −0.0216375 | − | 0.00381528i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 196.914 | − | 165.230i | 0.206842 | − | 0.173561i | ||||
\(953\) | 858.313 | − | 495.548i | 0.900644 | − | 0.519987i | 0.0232347 | − | 0.999730i | \(-0.492603\pi\) |
0.877409 | + | 0.479743i | \(0.159270\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −292.376 | + | 506.410i | −0.306153 | + | 0.530272i | ||||
\(956\) | −385.705 | + | 68.0103i | −0.403457 | + | 0.0711404i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −137.863 | + | 50.1780i | −0.143907 | + | 0.0523779i | ||||
\(959\) | 236.558 | + | 649.937i | 0.246671 | + | 0.677724i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −81.8996 | − | 464.476i | −0.0852233 | − | 0.483326i | ||||
\(962\) | 199.405 | + | 115.126i | 0.207281 | + | 0.119674i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −403.678 | − | 699.190i | −0.418753 | − | 0.725301i | ||||
\(965\) | 692.400 | + | 825.170i | 0.717512 | + | 0.855098i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 54.2567 | − | 307.705i | 0.0561083 | − | 0.318206i | −0.943817 | − | 0.330470i | \(-0.892793\pi\) |
0.999925 | + | 0.0122640i | \(0.00390387\pi\) | |||||||
\(968\) | −83.9984 | + | 100.105i | −0.0867752 | + | 0.103415i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 468.656 | + | 170.577i | 0.483151 | + | 0.175852i | ||||
\(971\) | − | 487.838i | − | 0.502407i | −0.967934 | − | 0.251204i | \(-0.919174\pi\) | ||
0.967934 | − | 0.251204i | \(-0.0808264\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1319.96 | 1.35659 | ||||||||
\(974\) | −180.275 | + | 495.301i | −0.185087 | + | 0.508522i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 98.2415 | + | 82.4344i | 0.100657 | + | 0.0844615i | ||||
\(977\) | 634.038 | + | 111.798i | 0.648965 | + | 0.114430i | 0.488434 | − | 0.872601i | \(-0.337568\pi\) |
0.160531 | + | 0.987031i | \(0.448679\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 620.958 | − | 521.046i | 0.634278 | − | 0.532222i | ||||
\(980\) | 766.227 | − | 442.382i | 0.781865 | − | 0.451410i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 183.483 | − | 317.802i | 0.186846 | − | 0.323627i | ||||
\(983\) | 1516.43 | − | 267.387i | 1.54265 | − | 0.272012i | 0.663364 | − | 0.748297i | \(-0.269128\pi\) |
0.879291 | + | 0.476286i | \(0.158017\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1480.63 | − | 538.906i | 1.50318 | − | 0.547113i | ||||
\(986\) | −31.8161 | − | 87.4140i | −0.0322678 | − | 0.0886551i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −23.3883 | − | 132.641i | −0.0236723 | − | 0.134252i | ||||
\(989\) | 628.389 | + | 362.801i | 0.635378 | + | 0.366836i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −155.571 | − | 269.456i | −0.156984 | − | 0.271903i | 0.776796 | − | 0.629752i | \(-0.216844\pi\) |
−0.933780 | + | 0.357849i | \(0.883510\pi\) | |||||||
\(992\) | −466.378 | − | 555.808i | −0.470139 | − | 0.560290i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 258.381 | − | 1465.35i | 0.259940 | − | 1.47420i | ||||
\(995\) | 284.802 | − | 339.414i | 0.286233 | − | 0.341119i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 45.3212 | + | 16.4956i | 0.0454576 | + | 0.0165452i | 0.364649 | − | 0.931145i | \(-0.381189\pi\) |
−0.319191 | + | 0.947690i | \(0.603411\pi\) | |||||||
\(998\) | − | 141.953i | − | 0.142238i | ||||||
\(999\) | 0 | 0 |
(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 | 243.3.f.c.53.2 | 30 | ||
3.2 | odd | 2 | 243.3.f.b.53.4 | 30 | |||
9.2 | odd | 6 | 81.3.f.a.71.2 | 30 | |||
9.4 | even | 3 | 243.3.f.d.134.2 | 30 | |||
9.5 | odd | 6 | 243.3.f.a.134.4 | 30 | |||
9.7 | even | 3 | 27.3.f.a.14.4 | yes | 30 | ||
27.2 | odd | 18 | 243.3.f.d.107.2 | 30 | |||
27.7 | even | 9 | 243.3.f.b.188.4 | 30 | |||
27.11 | odd | 18 | 27.3.f.a.2.4 | ✓ | 30 | ||
27.13 | even | 9 | 729.3.b.a.728.12 | 30 | |||
27.14 | odd | 18 | 729.3.b.a.728.19 | 30 | |||
27.16 | even | 9 | 81.3.f.a.8.2 | 30 | |||
27.20 | odd | 18 | inner | 243.3.f.c.188.2 | 30 | ||
27.25 | even | 9 | 243.3.f.a.107.4 | 30 | |||
36.7 | odd | 6 | 432.3.bc.a.257.3 | 30 | |||
108.11 | even | 18 | 432.3.bc.a.353.3 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.3.f.a.2.4 | ✓ | 30 | 27.11 | odd | 18 | ||
27.3.f.a.14.4 | yes | 30 | 9.7 | even | 3 | ||
81.3.f.a.8.2 | 30 | 27.16 | even | 9 | |||
81.3.f.a.71.2 | 30 | 9.2 | odd | 6 | |||
243.3.f.a.107.4 | 30 | 27.25 | even | 9 | |||
243.3.f.a.134.4 | 30 | 9.5 | odd | 6 | |||
243.3.f.b.53.4 | 30 | 3.2 | odd | 2 | |||
243.3.f.b.188.4 | 30 | 27.7 | even | 9 | |||
243.3.f.c.53.2 | 30 | 1.1 | even | 1 | trivial | ||
243.3.f.c.188.2 | 30 | 27.20 | odd | 18 | inner | ||
243.3.f.d.107.2 | 30 | 27.2 | odd | 18 | |||
243.3.f.d.134.2 | 30 | 9.4 | even | 3 | |||
432.3.bc.a.257.3 | 30 | 36.7 | odd | 6 | |||
432.3.bc.a.353.3 | 30 | 108.11 | even | 18 | |||
729.3.b.a.728.12 | 30 | 27.13 | even | 9 | |||
729.3.b.a.728.19 | 30 | 27.14 | odd | 18 |