Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 47.88 | ||
Character | \(\chi\) | \(=\) | 300.47 |
Dual form | 300.3.u.a.83.88 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{17}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41582 | − | 1.41260i | 0.707912 | − | 0.706301i | ||||
\(3\) | 1.99269 | + | 2.24259i | 0.664230 | + | 0.747529i | ||||
\(4\) | 0.00911459 | − | 3.99999i | 0.00227865 | − | 0.999997i | ||||
\(5\) | −2.76818 | − | 4.16380i | −0.553635 | − | 0.832759i | ||||
\(6\) | 5.98918 | + | 0.360232i | 0.998196 | + | 0.0600387i | ||||
\(7\) | 2.17959 | − | 2.17959i | 0.311370 | − | 0.311370i | −0.534070 | − | 0.845440i | \(-0.679338\pi\) |
0.845440 | + | 0.534070i | \(0.179338\pi\) | |||||||
\(8\) | −5.63749 | − | 5.67616i | −0.704686 | − | 0.709520i | ||||
\(9\) | −1.05838 | + | 8.93755i | −0.117598 | + | 0.993061i | ||||
\(10\) | −9.80103 | − | 1.98488i | −0.980103 | − | 0.198488i | ||||
\(11\) | 5.18256 | − | 15.9503i | 0.471142 | − | 1.45003i | −0.379949 | − | 0.925007i | \(-0.624059\pi\) |
0.851091 | − | 0.525018i | \(-0.175941\pi\) | |||||||
\(12\) | 8.98848 | − | 7.95029i | 0.749040 | − | 0.662524i | ||||
\(13\) | 5.69035 | + | 2.89938i | 0.437719 | + | 0.223029i | 0.658941 | − | 0.752195i | \(-0.271005\pi\) |
−0.221222 | + | 0.975223i | \(0.571005\pi\) | |||||||
\(14\) | 0.00702372 | − | 6.16480i | 0.000501694 | − | 0.440343i | ||||
\(15\) | 3.82156 | − | 14.5050i | 0.254771 | − | 0.967001i | ||||
\(16\) | −15.9998 | − | 0.0729166i | −0.999990 | − | 0.00455729i | ||||
\(17\) | 2.94865 | − | 18.6170i | 0.173450 | − | 1.09512i | −0.735289 | − | 0.677754i | \(-0.762954\pi\) |
0.908739 | − | 0.417365i | \(-0.137046\pi\) | |||||||
\(18\) | 11.1267 | + | 14.1491i | 0.618151 | + | 0.786060i | ||||
\(19\) | −0.956694 | + | 0.695079i | −0.0503523 | + | 0.0365831i | −0.612677 | − | 0.790334i | \(-0.709907\pi\) |
0.562324 | + | 0.826917i | \(0.309907\pi\) | |||||||
\(20\) | −16.6804 | + | 11.0347i | −0.834019 | + | 0.551736i | ||||
\(21\) | 9.23116 | + | 0.544674i | 0.439579 | + | 0.0259368i | ||||
\(22\) | −15.1938 | − | 29.9037i | −0.690627 | − | 1.35926i | ||||
\(23\) | 3.62519 | + | 7.11483i | 0.157617 | + | 0.309340i | 0.956288 | − | 0.292428i | \(-0.0944631\pi\) |
−0.798671 | + | 0.601768i | \(0.794463\pi\) | |||||||
\(24\) | 1.49551 | − | 23.9534i | 0.0623131 | − | 0.998057i | ||||
\(25\) | −9.67441 | + | 23.0522i | −0.386976 | + | 0.922090i | ||||
\(26\) | 12.1522 | − | 3.93318i | 0.467392 | − | 0.151276i | ||||
\(27\) | −22.1523 | + | 15.4362i | −0.820454 | + | 0.571713i | ||||
\(28\) | −8.69847 | − | 8.73820i | −0.310660 | − | 0.312079i | ||||
\(29\) | 28.2236 | + | 20.5057i | 0.973229 | + | 0.707092i | 0.956185 | − | 0.292763i | \(-0.0945746\pi\) |
0.0170435 | + | 0.999855i | \(0.494575\pi\) | |||||||
\(30\) | −15.0792 | − | 25.9349i | −0.502639 | − | 0.864497i | ||||
\(31\) | −2.12066 | − | 2.91884i | −0.0684085 | − | 0.0941562i | 0.773442 | − | 0.633867i | \(-0.218533\pi\) |
−0.841850 | + | 0.539711i | \(0.818533\pi\) | |||||||
\(32\) | −22.7559 | + | 22.4982i | −0.711123 | + | 0.703067i | ||||
\(33\) | 46.0971 | − | 20.1616i | 1.39688 | − | 0.610958i | ||||
\(34\) | −22.1237 | − | 30.5237i | −0.650696 | − | 0.897755i | ||||
\(35\) | −15.1089 | − | 3.04188i | −0.431681 | − | 0.0869109i | ||||
\(36\) | 35.7405 | + | 4.31499i | 0.992791 | + | 0.119861i | ||||
\(37\) | 9.94115 | − | 19.5106i | 0.268680 | − | 0.527314i | −0.716764 | − | 0.697316i | \(-0.754377\pi\) |
0.985444 | + | 0.170002i | \(0.0543775\pi\) | |||||||
\(38\) | −0.372641 | + | 2.33554i | −0.00980634 | + | 0.0614615i | ||||
\(39\) | 4.83699 | + | 18.5386i | 0.124025 | + | 0.475350i | ||||
\(40\) | −8.02881 | + | 39.1859i | −0.200720 | + | 0.979649i | ||||
\(41\) | 55.8084 | − | 18.1332i | 1.36118 | − | 0.442274i | 0.464743 | − | 0.885446i | \(-0.346147\pi\) |
0.896437 | + | 0.443172i | \(0.146147\pi\) | |||||||
\(42\) | 13.8391 | − | 12.2688i | 0.329502 | − | 0.292114i | ||||
\(43\) | −14.0645 | − | 14.0645i | −0.327082 | − | 0.327082i | 0.524394 | − | 0.851476i | \(-0.324292\pi\) |
−0.851476 | + | 0.524394i | \(0.824292\pi\) | |||||||
\(44\) | −63.7537 | − | 20.8756i | −1.44895 | − | 0.474445i | ||||
\(45\) | 40.1439 | − | 20.3338i | 0.892088 | − | 0.451862i | ||||
\(46\) | 15.1830 | + | 4.95240i | 0.330066 | + | 0.107661i | ||||
\(47\) | 4.21566 | + | 26.6166i | 0.0896948 | + | 0.566311i | 0.991077 | + | 0.133287i | \(0.0425533\pi\) |
−0.901383 | + | 0.433024i | \(0.857447\pi\) | |||||||
\(48\) | −31.7192 | − | 36.0263i | −0.660816 | − | 0.750548i | ||||
\(49\) | 39.4988i | 0.806098i | ||||||||
\(50\) | 18.8664 | + | 46.3040i | 0.377327 | + | 0.926080i | ||||
\(51\) | 47.6260 | − | 30.4853i | 0.933843 | − | 0.597752i | ||||
\(52\) | 11.6493 | − | 22.7349i | 0.224026 | − | 0.437210i | ||||
\(53\) | 7.38747 | + | 46.6427i | 0.139386 | + | 0.880050i | 0.953948 | + | 0.299973i | \(0.0969777\pi\) |
−0.814561 | + | 0.580077i | \(0.803022\pi\) | |||||||
\(54\) | −9.55844 | + | 53.1473i | −0.177008 | + | 0.984209i | ||||
\(55\) | −80.7600 | + | 22.5740i | −1.46836 | + | 0.410437i | ||||
\(56\) | −24.6591 | − | 0.0842845i | −0.440341 | − | 0.00150508i | ||||
\(57\) | −3.46517 | − | 0.760393i | −0.0607924 | − | 0.0133402i | ||||
\(58\) | 68.9260 | − | 10.8363i | 1.18838 | − | 0.186833i | ||||
\(59\) | −94.7509 | + | 30.7864i | −1.60595 | + | 0.521804i | −0.968568 | − | 0.248747i | \(-0.919981\pi\) |
−0.637378 | + | 0.770551i | \(0.719981\pi\) | |||||||
\(60\) | −57.9851 | − | 15.4184i | −0.966418 | − | 0.256974i | ||||
\(61\) | −24.4629 | + | 75.2889i | −0.401030 | + | 1.23424i | 0.523134 | + | 0.852250i | \(0.324763\pi\) |
−0.924165 | + | 0.381994i | \(0.875237\pi\) | |||||||
\(62\) | −7.12565 | − | 1.13692i | −0.114930 | − | 0.0183373i | ||||
\(63\) | 17.1733 | + | 21.7870i | 0.272593 | + | 0.345826i | ||||
\(64\) | −0.437497 | + | 63.9985i | −0.00683590 | + | 0.999977i | ||||
\(65\) | −3.67946 | − | 31.7194i | −0.0566071 | − | 0.487991i | ||||
\(66\) | 36.7851 | − | 93.6621i | 0.557350 | − | 1.41912i | ||||
\(67\) | 3.32405 | − | 20.9872i | 0.0496127 | − | 0.313242i | −0.950385 | − | 0.311076i | \(-0.899311\pi\) |
0.999998 | − | 0.00216599i | \(-0.000689455\pi\) | |||||||
\(68\) | −74.4410 | − | 11.9642i | −1.09472 | − | 0.175945i | ||||
\(69\) | −8.73175 | + | 22.3074i | −0.126547 | + | 0.323296i | ||||
\(70\) | −25.6884 | + | 17.0360i | −0.366978 | + | 0.243372i | ||||
\(71\) | 65.5003 | + | 47.5888i | 0.922540 | + | 0.670264i | 0.944155 | − | 0.329502i | \(-0.106881\pi\) |
−0.0216151 | + | 0.999766i | \(0.506881\pi\) | |||||||
\(72\) | 56.6976 | − | 44.3778i | 0.787466 | − | 0.616358i | ||||
\(73\) | 20.7394 | + | 40.7033i | 0.284101 | + | 0.557579i | 0.988318 | − | 0.152405i | \(-0.0487019\pi\) |
−0.704217 | + | 0.709984i | \(0.748702\pi\) | |||||||
\(74\) | −13.4858 | − | 41.6665i | −0.182240 | − | 0.563060i | ||||
\(75\) | −70.9747 | + | 24.2402i | −0.946330 | + | 0.323203i | ||||
\(76\) | 2.77159 | + | 3.83310i | 0.0364683 | + | 0.0504355i | ||||
\(77\) | −23.4692 | − | 46.0609i | −0.304795 | − | 0.598194i | ||||
\(78\) | 33.0360 | + | 19.4147i | 0.423539 | + | 0.248907i | ||||
\(79\) | −13.2556 | − | 9.63079i | −0.167793 | − | 0.121909i | 0.500720 | − | 0.865609i | \(-0.333069\pi\) |
−0.668513 | + | 0.743701i | \(0.733069\pi\) | |||||||
\(80\) | 43.9867 | + | 66.8219i | 0.549834 | + | 0.835274i | ||||
\(81\) | −78.7596 | − | 18.9187i | −0.972341 | − | 0.233565i | ||||
\(82\) | 53.3998 | − | 104.508i | 0.651217 | − | 1.27449i | ||||
\(83\) | 22.3634 | − | 141.197i | 0.269439 | − | 1.70117i | −0.367309 | − | 0.930099i | \(-0.619721\pi\) |
0.636748 | − | 0.771072i | \(-0.280279\pi\) | |||||||
\(84\) | 2.26283 | − | 36.9196i | 0.0269384 | − | 0.439519i | ||||
\(85\) | −85.6799 | + | 39.2576i | −1.00800 | + | 0.461854i | ||||
\(86\) | −39.7805 | − | 0.0453230i | −0.462564 | − | 0.000527011i | ||||
\(87\) | 10.2552 | + | 104.155i | 0.117876 | + | 1.19719i | ||||
\(88\) | −119.753 | + | 60.5025i | −1.36083 | + | 0.687528i | ||||
\(89\) | 35.3586 | − | 108.823i | 0.397288 | − | 1.22273i | −0.529877 | − | 0.848074i | \(-0.677762\pi\) |
0.927165 | − | 0.374653i | \(-0.122238\pi\) | |||||||
\(90\) | 28.1132 | − | 85.4965i | 0.312369 | − | 0.949961i | ||||
\(91\) | 18.7221 | − | 6.08317i | 0.205737 | − | 0.0668480i | ||||
\(92\) | 28.4923 | − | 14.4359i | 0.309699 | − | 0.156911i | ||||
\(93\) | 2.31993 | − | 10.5721i | 0.0249455 | − | 0.113679i | ||||
\(94\) | 43.5673 | + | 31.7294i | 0.463482 | + | 0.337547i | ||||
\(95\) | 5.54246 | + | 2.05938i | 0.0583417 | + | 0.0216777i | ||||
\(96\) | −95.7996 | − | 6.20037i | −0.997912 | − | 0.0645871i | ||||
\(97\) | 14.4379 | + | 91.1575i | 0.148845 | + | 0.939768i | 0.943178 | + | 0.332287i | \(0.107820\pi\) |
−0.794334 | + | 0.607482i | \(0.792180\pi\) | |||||||
\(98\) | 55.7960 | + | 55.9233i | 0.569347 | + | 0.570646i | ||||
\(99\) | 137.071 | + | 63.2009i | 1.38456 | + | 0.638393i | ||||
\(100\) | 92.1205 | + | 38.9077i | 0.921205 | + | 0.389077i | ||||
\(101\) | 73.1689i | 0.724444i | 0.932092 | + | 0.362222i | \(0.117982\pi\) | ||||
−0.932092 | + | 0.362222i | \(0.882018\pi\) | |||||||
\(102\) | 24.3664 | − | 110.438i | 0.238886 | − | 1.08273i | ||||
\(103\) | 30.0134 | + | 189.497i | 0.291392 | + | 1.83978i | 0.505323 | + | 0.862930i | \(0.331373\pi\) |
−0.213931 | + | 0.976849i | \(0.568627\pi\) | |||||||
\(104\) | −15.6219 | − | 48.6445i | −0.150211 | − | 0.467735i | ||||
\(105\) | −23.2856 | − | 39.9444i | −0.221767 | − | 0.380423i | ||||
\(106\) | 76.3469 | + | 55.6022i | 0.720253 | + | 0.524549i | ||||
\(107\) | −78.9141 | − | 78.9141i | −0.737515 | − | 0.737515i | 0.234582 | − | 0.972096i | \(-0.424628\pi\) |
−0.972096 | + | 0.234582i | \(0.924628\pi\) | |||||||
\(108\) | 61.5429 | + | 88.7495i | 0.569842 | + | 0.821755i | ||||
\(109\) | 190.355 | − | 61.8502i | 1.74638 | − | 0.567433i | 0.750729 | − | 0.660610i | \(-0.229702\pi\) |
0.995650 | + | 0.0931770i | \(0.0297022\pi\) | |||||||
\(110\) | −82.4538 | + | 146.043i | −0.749580 | + | 1.32766i | ||||
\(111\) | 63.5638 | − | 16.5847i | 0.572647 | − | 0.149411i | ||||
\(112\) | −35.0320 | + | 34.7141i | −0.312786 | + | 0.309948i | ||||
\(113\) | −65.5584 | + | 128.666i | −0.580163 | + | 1.13863i | 0.395317 | + | 0.918545i | \(0.370635\pi\) |
−0.975480 | + | 0.220089i | \(0.929365\pi\) | |||||||
\(114\) | −5.98020 | + | 3.81832i | −0.0524579 | + | 0.0334940i | ||||
\(115\) | 19.5895 | − | 34.7896i | 0.170344 | − | 0.302518i | ||||
\(116\) | 82.2797 | − | 112.707i | 0.709308 | − | 0.971615i | ||||
\(117\) | −31.9359 | + | 47.7891i | −0.272956 | + | 0.408454i | ||||
\(118\) | −90.6616 | + | 177.433i | −0.768319 | + | 1.50367i | ||||
\(119\) | −34.1506 | − | 47.0043i | −0.286980 | − | 0.394994i | ||||
\(120\) | −103.877 | + | 60.0801i | −0.865640 | + | 0.500667i | ||||
\(121\) | −129.661 | − | 94.2046i | −1.07158 | − | 0.778550i | ||||
\(122\) | 71.7182 | + | 141.152i | 0.587854 | + | 1.15698i | ||||
\(123\) | 151.874 | + | 89.0212i | 1.23475 | + | 0.723749i | ||||
\(124\) | −11.6947 | + | 8.45603i | −0.0943118 | + | 0.0681938i | ||||
\(125\) | 122.765 | − | 23.5304i | 0.982123 | − | 0.188243i | ||||
\(126\) | 55.0908 | + | 6.58751i | 0.437229 | + | 0.0522818i | ||||
\(127\) | −10.0823 | − | 19.7875i | −0.0793878 | − | 0.155807i | 0.847900 | − | 0.530156i | \(-0.177866\pi\) |
−0.927288 | + | 0.374348i | \(0.877866\pi\) | |||||||
\(128\) | 89.7850 | + | 91.2286i | 0.701445 | + | 0.712724i | ||||
\(129\) | 3.51469 | − | 59.5672i | 0.0272457 | − | 0.461761i | ||||
\(130\) | −50.0164 | − | 39.7115i | −0.384741 | − | 0.305473i | ||||
\(131\) | 84.6261 | − | 61.4844i | 0.646001 | − | 0.469347i | −0.215906 | − | 0.976414i | \(-0.569270\pi\) |
0.861906 | + | 0.507067i | \(0.169270\pi\) | |||||||
\(132\) | −80.2261 | − | 184.572i | −0.607773 | − | 1.39827i | ||||
\(133\) | −0.570213 | + | 3.60019i | −0.00428732 | + | 0.0270691i | ||||
\(134\) | −24.9403 | − | 34.4098i | −0.186122 | − | 0.256789i | ||||
\(135\) | 125.595 | + | 49.5073i | 0.930331 | + | 0.366721i | ||||
\(136\) | −122.296 | + | 88.2162i | −0.899236 | + | 0.648649i | ||||
\(137\) | −51.4204 | − | 26.2000i | −0.375331 | − | 0.191241i | 0.256141 | − | 0.966640i | \(-0.417549\pi\) |
−0.631472 | + | 0.775399i | \(0.717549\pi\) | |||||||
\(138\) | 19.1489 | + | 43.9179i | 0.138760 | + | 0.318245i | ||||
\(139\) | 33.0322 | − | 101.663i | 0.237642 | − | 0.731386i | −0.759118 | − | 0.650953i | \(-0.774370\pi\) |
0.996760 | − | 0.0804335i | \(-0.0256305\pi\) | |||||||
\(140\) | −12.3052 | + | 60.4075i | −0.0878943 | + | 0.431482i | ||||
\(141\) | −51.2895 | + | 62.4926i | −0.363756 | + | 0.443210i | ||||
\(142\) | 159.961 | − | 25.1485i | 1.12649 | − | 0.177102i | ||||
\(143\) | 75.7364 | − | 75.7364i | 0.529625 | − | 0.529625i | ||||
\(144\) | 17.5857 | − | 142.922i | 0.122123 | − | 0.992515i | ||||
\(145\) | 7.25348 | − | 174.281i | 0.0500240 | − | 1.20194i | ||||
\(146\) | 86.8608 | + | 28.3322i | 0.594937 | + | 0.194056i | ||||
\(147\) | −88.5794 | + | 78.7088i | −0.602581 | + | 0.535434i | ||||
\(148\) | −77.9516 | − | 39.9423i | −0.526700 | − | 0.269881i | ||||
\(149\) | 98.5283 | 0.661264 | 0.330632 | − | 0.943760i | \(-0.392738\pi\) | ||||
0.330632 | + | 0.943760i | \(0.392738\pi\) | |||||||
\(150\) | −66.2459 | + | 134.579i | −0.441639 | + | 0.897193i | ||||
\(151\) | − | 183.847i | − | 1.21753i | −0.793350 | − | 0.608766i | \(-0.791665\pi\) | ||
0.793350 | − | 0.608766i | \(-0.208335\pi\) | |||||||
\(152\) | 9.33873 | + | 1.51185i | 0.0614390 | + | 0.00994636i | ||||
\(153\) | 163.270 | + | 46.0576i | 1.06712 | + | 0.301030i | ||||
\(154\) | −98.2940 | − | 32.0615i | −0.638272 | − | 0.208192i | ||||
\(155\) | −6.28310 | + | 16.9099i | −0.0405361 | + | 0.109096i | ||||
\(156\) | 74.1985 | − | 19.1789i | 0.475631 | − | 0.122942i | ||||
\(157\) | 159.097 | + | 159.097i | 1.01335 | + | 1.01335i | 0.999910 | + | 0.0134442i | \(0.00427954\pi\) |
0.0134442 | + | 0.999910i | \(0.495720\pi\) | |||||||
\(158\) | −32.3721 | + | 5.08944i | −0.204887 | + | 0.0322116i | ||||
\(159\) | −89.8793 | + | 109.511i | −0.565278 | + | 0.688751i | ||||
\(160\) | 156.670 | + | 32.4723i | 0.979189 | + | 0.202952i | ||||
\(161\) | 23.4088 | + | 7.60598i | 0.145396 | + | 0.0472421i | ||||
\(162\) | −138.234 | + | 84.4704i | −0.853299 | + | 0.521422i | ||||
\(163\) | −22.5280 | + | 44.2136i | −0.138208 | + | 0.271249i | −0.949728 | − | 0.313076i | \(-0.898641\pi\) |
0.811520 | + | 0.584325i | \(0.198641\pi\) | |||||||
\(164\) | −72.0241 | − | 223.398i | −0.439171 | − | 1.36218i | ||||
\(165\) | −211.554 | − | 136.128i | −1.28214 | − | 0.825019i | ||||
\(166\) | −167.793 | − | 231.501i | −1.01080 | − | 1.39458i | ||||
\(167\) | −284.229 | − | 45.0175i | −1.70197 | − | 0.269566i | −0.771580 | − | 0.636132i | \(-0.780533\pi\) |
−0.930392 | + | 0.366566i | \(0.880533\pi\) | |||||||
\(168\) | −48.9489 | − | 55.4681i | −0.291362 | − | 0.330167i | ||||
\(169\) | −75.3621 | − | 103.727i | −0.445929 | − | 0.613769i | ||||
\(170\) | −65.8522 | + | 176.613i | −0.387366 | + | 1.03890i | ||||
\(171\) | −5.19975 | − | 9.28616i | −0.0304079 | − | 0.0543050i | ||||
\(172\) | −56.3862 | + | 56.1298i | −0.327827 | + | 0.326336i | ||||
\(173\) | −74.9154 | + | 38.1713i | −0.433037 | + | 0.220643i | −0.656901 | − | 0.753977i | \(-0.728133\pi\) |
0.223864 | + | 0.974620i | \(0.428133\pi\) | |||||||
\(174\) | 161.649 | + | 132.979i | 0.929020 | + | 0.764248i | ||||
\(175\) | 29.1582 | + | 71.3306i | 0.166618 | + | 0.407604i | ||||
\(176\) | −84.0831 | + | 254.824i | −0.477745 | + | 1.44786i | ||||
\(177\) | −257.850 | − | 151.139i | −1.45678 | − | 0.853894i | ||||
\(178\) | −103.661 | − | 204.021i | −0.582368 | − | 1.14619i | ||||
\(179\) | 144.076 | − | 198.304i | 0.804894 | − | 1.10784i | −0.187198 | − | 0.982322i | \(-0.559940\pi\) |
0.992091 | − | 0.125519i | \(-0.0400595\pi\) | |||||||
\(180\) | −80.9691 | − | 160.761i | −0.449829 | − | 0.893115i | ||||
\(181\) | −159.549 | + | 115.919i | −0.881486 | + | 0.640437i | −0.933644 | − | 0.358202i | \(-0.883390\pi\) |
0.0521582 | + | 0.998639i | \(0.483390\pi\) | |||||||
\(182\) | 17.9141 | − | 35.0595i | 0.0984289 | − | 0.192635i | ||||
\(183\) | −217.589 | + | 95.1673i | −1.18901 | + | 0.520040i | ||||
\(184\) | 19.9479 | − | 60.6869i | 0.108413 | − | 0.329820i | ||||
\(185\) | −108.757 | + | 12.6158i | −0.587876 | + | 0.0681938i | ||||
\(186\) | −11.6496 | − | 18.2454i | −0.0626321 | − | 0.0980935i | ||||
\(187\) | −281.665 | − | 143.516i | −1.50623 | − | 0.767463i | ||||
\(188\) | 106.505 | − | 16.6200i | 0.566514 | − | 0.0884042i | ||||
\(189\) | −14.6382 | + | 81.9275i | −0.0774506 | + | 0.433479i | ||||
\(190\) | 10.7562 | − | 4.91357i | 0.0566118 | − | 0.0258609i | ||||
\(191\) | −75.2637 | − | 231.638i | −0.394051 | − | 1.21276i | −0.929698 | − | 0.368322i | \(-0.879932\pi\) |
0.535647 | − | 0.844442i | \(-0.320068\pi\) | |||||||
\(192\) | −144.394 | + | 126.548i | −0.752052 | + | 0.659104i | ||||
\(193\) | −44.6628 | + | 44.6628i | −0.231413 | + | 0.231413i | −0.813282 | − | 0.581869i | \(-0.802322\pi\) |
0.581869 | + | 0.813282i | \(0.302322\pi\) | |||||||
\(194\) | 149.211 | + | 108.668i | 0.769128 | + | 0.560144i | ||||
\(195\) | 63.8015 | − | 71.4584i | 0.327187 | − | 0.366454i | ||||
\(196\) | 157.995 | + | 0.360015i | 0.806096 | + | 0.00183681i | ||||
\(197\) | −148.228 | + | 23.4770i | −0.752426 | + | 0.119173i | −0.520854 | − | 0.853645i | \(-0.674387\pi\) |
−0.231571 | + | 0.972818i | \(0.574387\pi\) | |||||||
\(198\) | 283.347 | − | 104.146i | 1.43104 | − | 0.525989i | ||||
\(199\) | 66.3921 | 0.333628 | 0.166814 | − | 0.985988i | \(-0.446652\pi\) | ||||
0.166814 | + | 0.985988i | \(0.446652\pi\) | |||||||
\(200\) | 185.387 | − | 75.0432i | 0.926937 | − | 0.375216i | ||||
\(201\) | 53.6895 | − | 34.3665i | 0.267112 | − | 0.170978i | ||||
\(202\) | 103.358 | + | 103.594i | 0.511675 | + | 0.512843i | ||||
\(203\) | 106.210 | − | 16.8220i | 0.523201 | − | 0.0828669i | ||||
\(204\) | −121.507 | − | 190.781i | −0.595622 | − | 0.935203i | ||||
\(205\) | −229.990 | − | 182.179i | −1.12190 | − | 0.888677i | ||||
\(206\) | 310.178 | + | 225.898i | 1.50572 | + | 1.09659i | ||||
\(207\) | −67.4260 | + | 24.8701i | −0.325729 | + | 0.120145i | ||||
\(208\) | −90.8332 | − | 46.8044i | −0.436698 | − | 0.225021i | ||||
\(209\) | 6.12858 | + | 18.8618i | 0.0293233 | + | 0.0902480i | ||||
\(210\) | −89.3938 | − | 23.6611i | −0.425685 | − | 0.112672i | ||||
\(211\) | 227.475 | + | 73.9112i | 1.07808 | + | 0.350290i | 0.793631 | − | 0.608400i | \(-0.208188\pi\) |
0.284452 | + | 0.958690i | \(0.408188\pi\) | |||||||
\(212\) | 186.638 | − | 29.1247i | 0.880366 | − | 0.137381i | ||||
\(213\) | 23.7998 | + | 241.720i | 0.111736 | + | 1.13483i | ||||
\(214\) | −223.203 | − | 0.254300i | −1.04300 | − | 0.00118832i | ||||
\(215\) | −19.6288 | + | 97.4950i | −0.0912967 | + | 0.453465i | ||||
\(216\) | 212.502 | + | 38.7181i | 0.983803 | + | 0.179250i | ||||
\(217\) | −10.9841 | − | 1.73970i | −0.0506177 | − | 0.00801706i | ||||
\(218\) | 182.140 | − | 356.465i | 0.835504 | − | 1.63516i | ||||
\(219\) | −49.9535 | + | 127.619i | −0.228098 | + | 0.582734i | ||||
\(220\) | 89.5598 | + | 323.245i | 0.407090 | + | 1.46929i | ||||
\(221\) | 70.7566 | − | 97.3880i | 0.320165 | − | 0.440670i | ||||
\(222\) | 66.5676 | − | 113.271i | 0.299854 | − | 0.510231i | ||||
\(223\) | −178.181 | + | 90.7880i | −0.799020 | + | 0.407121i | −0.805306 | − | 0.592859i | \(-0.797999\pi\) |
0.00628630 | + | 0.999980i | \(0.497999\pi\) | |||||||
\(224\) | −0.561895 | + | 98.6353i | −0.00250846 | + | 0.440336i | ||||
\(225\) | −195.791 | − | 110.864i | −0.870184 | − | 0.492727i | ||||
\(226\) | 88.9341 | + | 274.776i | 0.393514 | + | 1.21582i | ||||
\(227\) | 139.963 | − | 71.3148i | 0.616578 | − | 0.314162i | −0.117660 | − | 0.993054i | \(-0.537539\pi\) |
0.734238 | + | 0.678892i | \(0.237539\pi\) | |||||||
\(228\) | −3.07315 | + | 13.8537i | −0.0134787 | + | 0.0607619i | ||||
\(229\) | 232.073 | − | 319.421i | 1.01342 | − | 1.39485i | 0.0966999 | − | 0.995314i | \(-0.469171\pi\) |
0.916718 | − | 0.399536i | \(-0.130829\pi\) | |||||||
\(230\) | −21.4085 | − | 76.9282i | −0.0930805 | − | 0.334470i | ||||
\(231\) | 56.5287 | − | 144.417i | 0.244713 | − | 0.625181i | ||||
\(232\) | −42.7170 | − | 275.802i | −0.184125 | − | 1.18880i | ||||
\(233\) | 149.393 | + | 23.6616i | 0.641173 | + | 0.101552i | 0.468551 | − | 0.883436i | \(-0.344776\pi\) |
0.172622 | + | 0.984988i | \(0.444776\pi\) | |||||||
\(234\) | 22.2913 | + | 112.774i | 0.0952622 | + | 0.481939i | ||||
\(235\) | 99.1565 | − | 91.2326i | 0.421943 | − | 0.388224i | ||||
\(236\) | 122.282 | + | 379.283i | 0.518143 | + | 1.60713i | ||||
\(237\) | −4.81650 | − | 48.9181i | −0.0203228 | − | 0.206405i | ||||
\(238\) | −114.750 | − | 18.3086i | −0.482141 | − | 0.0769268i | ||||
\(239\) | −19.3151 | − | 6.27587i | −0.0808164 | − | 0.0262589i | 0.268330 | − | 0.963327i | \(-0.413528\pi\) |
−0.349146 | + | 0.937068i | \(0.613528\pi\) | |||||||
\(240\) | −62.2020 | + | 231.799i | −0.259175 | + | 0.965830i | ||||
\(241\) | −55.1634 | − | 169.775i | −0.228894 | − | 0.704463i | −0.997873 | − | 0.0651887i | \(-0.979235\pi\) |
0.768979 | − | 0.639274i | \(-0.220765\pi\) | |||||||
\(242\) | −316.651 | + | 49.7829i | −1.30848 | + | 0.205714i | ||||
\(243\) | −114.517 | − | 214.324i | −0.471262 | − | 0.881993i | ||||
\(244\) | 300.932 | + | 98.5374i | 1.23333 | + | 0.403842i | ||||
\(245\) | 164.465 | − | 109.340i | 0.671285 | − | 0.446284i | ||||
\(246\) | 340.778 | − | 88.4992i | 1.38528 | − | 0.359753i | ||||
\(247\) | −7.45921 | + | 1.18142i | −0.0301992 | + | 0.00478309i | ||||
\(248\) | −4.61260 | + | 28.4921i | −0.0185992 | + | 0.114888i | ||||
\(249\) | 361.210 | − | 231.210i | 1.45064 | − | 0.928555i | ||||
\(250\) | 140.575 | − | 206.733i | 0.562300 | − | 0.826933i | ||||
\(251\) | −313.031 | −1.24713 | −0.623567 | − | 0.781770i | \(-0.714317\pi\) | ||||
−0.623567 | + | 0.781770i | \(0.714317\pi\) | |||||||
\(252\) | 87.3044 | − | 68.4946i | 0.346446 | − | 0.271804i | ||||
\(253\) | 132.271 | − | 20.9497i | 0.522811 | − | 0.0828052i | ||||
\(254\) | −42.2266 | − | 13.7735i | −0.166246 | − | 0.0542262i | ||||
\(255\) | −258.772 | − | 113.916i | −1.01479 | − | 0.446730i | ||||
\(256\) | 255.989 | + | 2.33331i | 0.999958 | + | 0.00911448i | ||||
\(257\) | −320.038 | + | 320.038i | −1.24528 | + | 1.24528i | −0.287504 | + | 0.957779i | \(0.592825\pi\) |
−0.957779 | + | 0.287504i | \(0.907175\pi\) | |||||||
\(258\) | −79.1685 | − | 89.3016i | −0.306855 | − | 0.346130i | ||||
\(259\) | −20.8575 | − | 64.1927i | −0.0805308 | − | 0.247848i | ||||
\(260\) | −126.911 | + | 14.4287i | −0.488119 | + | 0.0554950i | ||||
\(261\) | −213.142 | + | 230.547i | −0.816636 | + | 0.883323i | ||||
\(262\) | 32.9626 | − | 206.594i | 0.125811 | − | 0.788527i | ||||
\(263\) | −300.822 | − | 153.276i | −1.14381 | − | 0.582800i | −0.223776 | − | 0.974641i | \(-0.571838\pi\) |
−0.920033 | + | 0.391841i | \(0.871838\pi\) | |||||||
\(264\) | −374.312 | − | 147.994i | −1.41785 | − | 0.560582i | ||||
\(265\) | 173.761 | − | 159.875i | 0.655701 | − | 0.603302i | ||||
\(266\) | 4.27831 | + | 5.90271i | 0.0160839 | + | 0.0221907i | ||||
\(267\) | 314.503 | − | 137.555i | 1.17791 | − | 0.515187i | ||||
\(268\) | −83.9184 | − | 13.4875i | −0.313128 | − | 0.0503263i | ||||
\(269\) | −104.996 | + | 76.2842i | −0.390320 | + | 0.283584i | −0.765587 | − | 0.643333i | \(-0.777551\pi\) |
0.375266 | + | 0.926917i | \(0.377551\pi\) | |||||||
\(270\) | 247.754 | − | 107.322i | 0.917608 | − | 0.397488i | ||||
\(271\) | −263.327 | + | 362.439i | −0.971688 | + | 1.33741i | −0.0304986 | + | 0.999535i | \(0.509710\pi\) |
−0.941190 | + | 0.337879i | \(0.890290\pi\) | |||||||
\(272\) | −48.5353 | + | 297.654i | −0.178439 | + | 1.09432i | ||||
\(273\) | 50.9493 | + | 29.8640i | 0.186627 | + | 0.109392i | ||||
\(274\) | −109.812 | + | 35.5419i | −0.400775 | + | 0.129715i | ||||
\(275\) | 317.551 | + | 273.779i | 1.15473 | + | 0.995561i | ||||
\(276\) | 89.1499 | + | 35.1302i | 0.323007 | + | 0.127283i | ||||
\(277\) | 269.833 | − | 137.487i | 0.974125 | − | 0.496341i | 0.106906 | − | 0.994269i | \(-0.465906\pi\) |
0.867219 | + | 0.497928i | \(0.165906\pi\) | |||||||
\(278\) | −96.8411 | − | 190.598i | −0.348349 | − | 0.685604i | ||||
\(279\) | 28.3318 | − | 15.8643i | 0.101548 | − | 0.0568612i | ||||
\(280\) | 67.9097 | + | 102.909i | 0.242535 | + | 0.367531i | ||||
\(281\) | −141.333 | − | 194.528i | −0.502963 | − | 0.692270i | 0.479750 | − | 0.877405i | \(-0.340728\pi\) |
−0.982713 | + | 0.185136i | \(0.940728\pi\) | |||||||
\(282\) | 15.6602 | + | 160.930i | 0.0555325 | + | 0.570674i | ||||
\(283\) | 438.471 | + | 69.4470i | 1.54937 | + | 0.245396i | 0.871725 | − | 0.489996i | \(-0.163002\pi\) |
0.677642 | + | 0.735392i | \(0.263002\pi\) | |||||||
\(284\) | 190.952 | − | 261.567i | 0.672365 | − | 0.921010i | ||||
\(285\) | 6.42607 | + | 16.5332i | 0.0225476 | + | 0.0580111i | ||||
\(286\) | 0.244060 | − | 214.215i | 0.000853358 | − | 0.749003i | ||||
\(287\) | 82.1163 | − | 161.162i | 0.286119 | − | 0.561541i | ||||
\(288\) | −176.994 | − | 227.194i | −0.614562 | − | 0.788869i | ||||
\(289\) | −63.0436 | − | 20.4841i | −0.218144 | − | 0.0708793i | ||||
\(290\) | −235.920 | − | 256.997i | −0.813516 | − | 0.886197i | ||||
\(291\) | −175.658 | + | 214.027i | −0.603637 | + | 0.735488i | ||||
\(292\) | 163.002 | − | 82.5862i | 0.558225 | − | 0.282829i | ||||
\(293\) | −365.083 | − | 365.083i | −1.24602 | − | 1.24602i | −0.957464 | − | 0.288553i | \(-0.906826\pi\) |
−0.288553 | − | 0.957464i | \(-0.593174\pi\) | |||||||
\(294\) | −14.2287 | + | 236.565i | −0.0483971 | + | 0.804643i | ||||
\(295\) | 390.475 | + | 309.301i | 1.32365 | + | 1.04848i | ||||
\(296\) | −166.788 | + | 53.5632i | −0.563474 | + | 0.180957i | ||||
\(297\) | 131.407 | + | 433.334i | 0.442448 | + | 1.45904i | ||||
\(298\) | 139.499 | − | 139.181i | 0.468117 | − | 0.467051i | ||||
\(299\) | 50.9966i | 0.170557i | ||||||||
\(300\) | 96.3138 | + | 284.119i | 0.321046 | + | 0.947064i | ||||
\(301\) | −61.3099 | −0.203687 | ||||||||
\(302\) | −259.703 | − | 260.295i | −0.859943 | − | 0.861905i | ||||
\(303\) | −164.087 | + | 145.803i | −0.541543 | + | 0.481197i | ||||
\(304\) | 15.3576 | − | 11.0514i | 0.0505185 | − | 0.0363532i | ||||
\(305\) | 381.205 | − | 106.555i | 1.24985 | − | 0.349359i | ||||
\(306\) | 296.222 | − | 165.426i | 0.968047 | − | 0.540607i | ||||
\(307\) | −118.940 | + | 118.940i | −0.387428 | + | 0.387428i | −0.873769 | − | 0.486341i | \(-0.838331\pi\) |
0.486341 | + | 0.873769i | \(0.338331\pi\) | |||||||
\(308\) | −184.457 | + | 93.4567i | −0.598887 | + | 0.303431i | ||||
\(309\) | −365.156 | + | 444.917i | −1.18174 | + | 1.43986i | ||||
\(310\) | 14.9912 | + | 32.8169i | 0.0483586 | + | 0.105861i | ||||
\(311\) | −23.7306 | + | 73.0352i | −0.0763041 | + | 0.234840i | −0.981932 | − | 0.189233i | \(-0.939400\pi\) |
0.905628 | + | 0.424073i | \(0.139400\pi\) | |||||||
\(312\) | 77.9598 | − | 131.967i | 0.249871 | − | 0.422971i | ||||
\(313\) | 124.226 | + | 63.2963i | 0.396888 | + | 0.202225i | 0.641032 | − | 0.767515i | \(-0.278507\pi\) |
−0.244143 | + | 0.969739i | \(0.578507\pi\) | |||||||
\(314\) | 449.993 | + | 0.512688i | 1.43310 | + | 0.00163277i | ||||
\(315\) | 43.1779 | − | 131.817i | 0.137073 | − | 0.418466i | ||||
\(316\) | −38.6439 | + | 52.9346i | −0.122291 | + | 0.167515i | ||||
\(317\) | −35.7917 | + | 225.980i | −0.112908 | + | 0.712871i | 0.864677 | + | 0.502328i | \(0.167523\pi\) |
−0.977585 | + | 0.210543i | \(0.932477\pi\) | |||||||
\(318\) | 27.4427 | + | 282.012i | 0.0862978 | + | 0.886831i | ||||
\(319\) | 473.342 | − | 343.903i | 1.48383 | − | 1.07807i | ||||
\(320\) | 267.688 | − | 175.337i | 0.836525 | − | 0.547929i | ||||
\(321\) | 19.7204 | − | 334.223i | 0.0614343 | − | 1.04119i | ||||
\(322\) | 43.8870 | − | 22.2986i | 0.136295 | − | 0.0692503i | ||||
\(323\) | 10.1193 | + | 19.8603i | 0.0313292 | + | 0.0614871i | ||||
\(324\) | −76.3926 | + | 314.865i | −0.235780 | + | 0.971807i | ||||
\(325\) | −121.888 | + | 103.125i | −0.375040 | + | 0.317309i | ||||
\(326\) | 30.5606 | + | 94.4217i | 0.0937441 | + | 0.289637i | ||||
\(327\) | 518.023 | + | 303.640i | 1.58417 | + | 0.928563i | ||||
\(328\) | −417.546 | − | 214.551i | −1.27301 | − | 0.654119i | ||||
\(329\) | 67.2017 | + | 48.8249i | 0.204260 | + | 0.148404i | ||||
\(330\) | −491.818 | + | 106.108i | −1.49036 | + | 0.321538i | ||||
\(331\) | 57.1886 | + | 78.7134i | 0.172775 | + | 0.237805i | 0.886619 | − | 0.462500i | \(-0.153047\pi\) |
−0.713844 | + | 0.700305i | \(0.753047\pi\) | |||||||
\(332\) | −564.583 | − | 90.7405i | −1.70055 | − | 0.273315i | ||||
\(333\) | 163.855 | + | 109.499i | 0.492058 | + | 0.328827i | ||||
\(334\) | −466.010 | + | 337.766i | −1.39524 | + | 1.01128i | ||||
\(335\) | −96.5881 | + | 44.2557i | −0.288323 | + | 0.132106i | ||||
\(336\) | −147.657 | − | 9.38779i | −0.439456 | − | 0.0279399i | ||||
\(337\) | −177.847 | + | 349.044i | −0.527736 | + | 1.03574i | 0.461186 | + | 0.887303i | \(0.347424\pi\) |
−0.988922 | + | 0.148436i | \(0.952576\pi\) | |||||||
\(338\) | −253.224 | − | 40.4026i | −0.749184 | − | 0.119534i | ||||
\(339\) | −419.181 | + | 109.370i | −1.23652 | + | 0.322626i | ||||
\(340\) | 156.249 | + | 343.076i | 0.459556 | + | 1.00905i | ||||
\(341\) | −57.5468 | + | 18.6981i | −0.168759 | + | 0.0548331i | ||||
\(342\) | −20.4796 | − | 5.80239i | −0.0598818 | − | 0.0169661i | ||||
\(343\) | 192.891 | + | 192.891i | 0.562364 | + | 0.562364i | ||||
\(344\) | −0.543875 | + | 159.121i | −0.00158103 | + | 0.462562i | ||||
\(345\) | 117.055 | − | 25.3936i | 0.339289 | − | 0.0736048i | ||||
\(346\) | −52.1462 | + | 159.870i | −0.150712 | + | 0.462051i | ||||
\(347\) | 14.5334 | + | 91.7601i | 0.0418829 | + | 0.264438i | 0.999740 | − | 0.0228073i | \(-0.00726042\pi\) |
−0.957857 | + | 0.287246i | \(0.907260\pi\) | |||||||
\(348\) | 416.714 | − | 40.0713i | 1.19745 | − | 0.115147i | ||||
\(349\) | − | 188.986i | − | 0.541507i | −0.962649 | − | 0.270753i | \(-0.912727\pi\) | ||
0.962649 | − | 0.270753i | \(-0.0872728\pi\) | |||||||
\(350\) | 142.045 | + | 59.8028i | 0.405842 | + | 0.170865i | ||||
\(351\) | −170.809 | + | 23.6098i | −0.486637 | + | 0.0672644i | ||||
\(352\) | 240.918 | + | 479.562i | 0.684425 | + | 1.36239i | ||||
\(353\) | 12.6824 | + | 80.0736i | 0.0359275 | + | 0.226838i | 0.999118 | − | 0.0419809i | \(-0.0133669\pi\) |
−0.963191 | + | 0.268818i | \(0.913367\pi\) | |||||||
\(354\) | −578.570 | + | 150.253i | −1.63438 | + | 0.424443i | ||||
\(355\) | 16.8336 | − | 404.464i | 0.0474186 | − | 1.13934i | ||||
\(356\) | −434.967 | − | 142.426i | −1.22182 | − | 0.400073i | ||||
\(357\) | 37.3596 | − | 170.251i | 0.104649 | − | 0.476892i | ||||
\(358\) | −76.1377 | − | 484.285i | −0.212675 | − | 1.35275i | ||||
\(359\) | 120.518 | − | 39.1586i | 0.335704 | − | 0.109077i | −0.136314 | − | 0.990666i | \(-0.543526\pi\) |
0.472018 | + | 0.881589i | \(0.343526\pi\) | |||||||
\(360\) | −341.729 | − | 113.232i | −0.949247 | − | 0.314533i | ||||
\(361\) | −111.123 | + | 342.001i | −0.307820 | + | 0.947372i | ||||
\(362\) | −62.1457 | + | 389.500i | −0.171673 | + | 1.07597i | ||||
\(363\) | −47.1131 | − | 478.497i | −0.129788 | − | 1.31817i | ||||
\(364\) | −24.1620 | − | 74.9435i | −0.0663790 | − | 0.205889i | ||||
\(365\) | 112.070 | − | 199.028i | 0.307041 | − | 0.545283i | ||||
\(366\) | −173.634 | + | 442.106i | −0.474409 | + | 1.20794i | ||||
\(367\) | 45.7739 | − | 289.005i | 0.124725 | − | 0.787480i | −0.843451 | − | 0.537207i | \(-0.819479\pi\) |
0.968175 | − | 0.250273i | \(-0.0805205\pi\) | |||||||
\(368\) | −57.4836 | − | 114.100i | −0.156205 | − | 0.310055i | ||||
\(369\) | 103.000 | + | 517.982i | 0.279133 | + | 1.40375i | ||||
\(370\) | −136.160 | + | 171.492i | −0.367999 | + | 0.463492i | ||||
\(371\) | 117.763 | + | 85.5602i | 0.317422 | + | 0.230620i | ||||
\(372\) | −42.2672 | − | 9.37607i | −0.113622 | − | 0.0252045i | ||||
\(373\) | −50.4133 | − | 98.9416i | −0.135156 | − | 0.265259i | 0.813502 | − | 0.581562i | \(-0.197558\pi\) |
−0.948658 | + | 0.316303i | \(0.897558\pi\) | |||||||
\(374\) | −601.519 | + | 194.688i | −1.60834 | + | 0.520556i | ||||
\(375\) | 297.402 | + | 228.423i | 0.793072 | + | 0.609128i | ||||
\(376\) | 127.314 | − | 173.980i | 0.338602 | − | 0.462711i | ||||
\(377\) | 101.149 | + | 198.515i | 0.268299 | + | 0.526566i | ||||
\(378\) | 95.0058 | + | 136.673i | 0.251338 | + | 0.361568i | ||||
\(379\) | −420.270 | − | 305.344i | −1.10889 | − | 0.805657i | −0.126403 | − | 0.991979i | \(-0.540343\pi\) |
−0.982489 | + | 0.186322i | \(0.940343\pi\) | |||||||
\(380\) | 8.28801 | − | 22.1510i | 0.0218106 | − | 0.0582922i | ||||
\(381\) | 24.2845 | − | 62.0407i | 0.0637388 | − | 0.162837i | ||||
\(382\) | −433.772 | − | 221.641i | −1.13553 | − | 0.580212i | ||||
\(383\) | −70.3288 | + | 444.039i | −0.183626 | + | 1.15937i | 0.707870 | + | 0.706342i | \(0.249656\pi\) |
−0.891497 | + | 0.453027i | \(0.850344\pi\) | |||||||
\(384\) | −25.6746 | + | 383.141i | −0.0668609 | + | 0.997762i | ||||
\(385\) | −126.821 | + | 225.226i | −0.329406 | + | 0.585002i | ||||
\(386\) | −0.143926 | + | 126.325i | −0.000372865 | + | 0.327268i | ||||
\(387\) | 140.588 | − | 110.817i | 0.363277 | − | 0.286349i | ||||
\(388\) | 364.761 | − | 56.9207i | 0.940105 | − | 0.146703i | ||||
\(389\) | 215.239 | − | 662.438i | 0.553314 | − | 1.70293i | −0.147041 | − | 0.989130i | \(-0.546975\pi\) |
0.700355 | − | 0.713795i | \(-0.253025\pi\) | |||||||
\(390\) | −10.6106 | − | 191.299i | −0.0272066 | − | 0.490509i | ||||
\(391\) | 143.146 | − | 46.5110i | 0.366103 | − | 0.118954i | ||||
\(392\) | 224.201 | − | 222.674i | 0.571942 | − | 0.568046i | ||||
\(393\) | 306.518 | + | 67.2619i | 0.779943 | + | 0.171150i | ||||
\(394\) | −176.701 | + | 242.626i | −0.448479 | + | 0.615802i | ||||
\(395\) | −3.40670 | + | 81.8535i | −0.00862457 | + | 0.207224i | ||||
\(396\) | 254.052 | − | 547.708i | 0.641546 | − | 1.38310i | ||||
\(397\) | 62.1540 | + | 392.425i | 0.156559 | + | 0.988476i | 0.933415 | + | 0.358798i | \(0.116813\pi\) |
−0.776856 | + | 0.629678i | \(0.783187\pi\) | |||||||
\(398\) | 93.9995 | − | 93.7855i | 0.236180 | − | 0.235642i | ||||
\(399\) | −9.20998 | + | 5.89530i | −0.0230827 | + | 0.0147752i | ||||
\(400\) | 156.470 | − | 368.127i | 0.391175 | − | 0.920316i | ||||
\(401\) | − | 106.578i | − | 0.265781i | −0.991131 | − | 0.132891i | \(-0.957574\pi\) | ||
0.991131 | − | 0.132891i | \(-0.0424259\pi\) | |||||||
\(402\) | 27.4686 | − | 124.499i | 0.0683299 | − | 0.309698i | ||||
\(403\) | −3.60448 | − | 22.7578i | −0.00894413 | − | 0.0564710i | ||||
\(404\) | 292.675 | + | 0.666904i | 0.724442 | + | 0.00165075i | ||||
\(405\) | 139.247 | + | 380.310i | 0.343819 | + | 0.939036i | ||||
\(406\) | 126.612 | − | 173.849i | 0.311851 | − | 0.428200i | ||||
\(407\) | −259.679 | − | 259.679i | −0.638032 | − | 0.638032i | ||||
\(408\) | −441.530 | − | 98.4720i | −1.08218 | − | 0.241353i | ||||
\(409\) | 274.286 | − | 89.1208i | 0.670625 | − | 0.217899i | 0.0461387 | − | 0.998935i | \(-0.485308\pi\) |
0.624486 | + | 0.781036i | \(0.285308\pi\) | |||||||
\(410\) | −582.972 | + | 66.9518i | −1.42188 | + | 0.163297i | ||||
\(411\) | −43.7091 | − | 167.523i | −0.106348 | − | 0.407599i | ||||
\(412\) | 758.261 | − | 118.326i | 1.84044 | − | 0.287199i | ||||
\(413\) | −139.416 | + | 273.620i | −0.337569 | + | 0.662517i | ||||
\(414\) | −60.3318 | + | 130.458i | −0.145729 | + | 0.315115i | ||||
\(415\) | −649.822 | + | 297.742i | −1.56584 | + | 0.717450i | ||||
\(416\) | −194.720 | + | 62.0442i | −0.468076 | + | 0.149145i | ||||
\(417\) | 293.810 | − | 128.505i | 0.704581 | − | 0.308164i | ||||
\(418\) | 35.3212 | + | 18.0478i | 0.0845005 | + | 0.0431765i | ||||
\(419\) | 308.199 | + | 424.200i | 0.735559 | + | 1.01241i | 0.998862 | + | 0.0476973i | \(0.0151883\pi\) |
−0.263302 | + | 0.964713i | \(0.584812\pi\) | |||||||
\(420\) | −159.989 | + | 92.7779i | −0.380927 | + | 0.220900i | ||||
\(421\) | 181.099 | + | 131.576i | 0.430163 | + | 0.312532i | 0.781714 | − | 0.623637i | \(-0.214346\pi\) |
−0.351551 | + | 0.936169i | \(0.614346\pi\) | |||||||
\(422\) | 426.472 | − | 216.687i | 1.01060 | − | 0.513476i | ||||
\(423\) | −242.349 | + | 9.50705i | −0.572929 | + | 0.0224753i | ||||
\(424\) | 223.104 | − | 304.880i | 0.526189 | − | 0.719056i | ||||
\(425\) | 400.638 | + | 248.082i | 0.942677 | + | 0.583721i | ||||
\(426\) | 375.150 | + | 308.613i | 0.880634 | + | 0.724443i | ||||
\(427\) | 110.780 | + | 217.418i | 0.259438 | + | 0.509175i | ||||
\(428\) | −316.375 | + | 314.936i | −0.739193 | + | 0.735832i | ||||
\(429\) | 320.765 | + | 18.9263i | 0.747703 | + | 0.0441173i | ||||
\(430\) | 109.931 | + | 165.763i | 0.255653 | + | 0.385496i | ||||
\(431\) | −460.978 | + | 334.920i | −1.06956 | + | 0.777078i | −0.975832 | − | 0.218521i | \(-0.929877\pi\) |
−0.0937232 | + | 0.995598i | \(0.529877\pi\) | |||||||
\(432\) | 355.558 | − | 245.362i | 0.823051 | − | 0.567968i | ||||
\(433\) | −96.8426 | + | 611.440i | −0.223655 | + | 1.41210i | 0.578839 | + | 0.815442i | \(0.303506\pi\) |
−0.802494 | + | 0.596660i | \(0.796494\pi\) | |||||||
\(434\) | −18.0090 | + | 13.0530i | −0.0414954 | + | 0.0300760i | ||||
\(435\) | 405.293 | − | 331.021i | 0.931709 | − | 0.760967i | ||||
\(436\) | −245.665 | − | 761.983i | −0.563452 | − | 1.74767i | ||||
\(437\) | −8.41356 | − | 4.28692i | −0.0192530 | − | 0.00980989i | ||||
\(438\) | 109.549 | + | 251.250i | 0.250112 | + | 0.573630i | ||||
\(439\) | −249.881 | + | 769.055i | −0.569205 | + | 1.75183i | 0.0859096 | + | 0.996303i | \(0.472620\pi\) |
−0.655114 | + | 0.755530i | \(0.727380\pi\) | |||||||
\(440\) | 583.417 | + | 331.145i | 1.32595 | + | 0.752603i | ||||
\(441\) | −353.022 | − | 41.8049i | −0.800504 | − | 0.0947957i | ||||
\(442\) | −37.3917 | − | 237.835i | −0.0845965 | − | 0.538089i | ||||
\(443\) | −323.348 | + | 323.348i | −0.729904 | + | 0.729904i | −0.970601 | − | 0.240696i | \(-0.922624\pi\) |
0.240696 | + | 0.970601i | \(0.422624\pi\) | |||||||
\(444\) | −65.7592 | − | 254.406i | −0.148106 | − | 0.572986i | ||||
\(445\) | −550.995 | + | 154.014i | −1.23819 | + | 0.346099i | ||||
\(446\) | −124.026 | + | 380.239i | −0.278086 | + | 0.852554i | ||||
\(447\) | 196.336 | + | 220.958i | 0.439231 | + | 0.494314i | ||||
\(448\) | 138.537 | + | 140.444i | 0.309234 | + | 0.313491i | ||||
\(449\) | 175.927 | 0.391819 | 0.195909 | − | 0.980622i | \(-0.437234\pi\) | ||||
0.195909 | + | 0.980622i | \(0.437234\pi\) | |||||||
\(450\) | −433.812 | + | 119.612i | −0.964027 | + | 0.265804i | ||||
\(451\) | − | 984.136i | − | 2.18212i | ||||||
\(452\) | 514.064 | + | 263.406i | 1.13731 | + | 0.582756i | ||||
\(453\) | 412.293 | − | 366.350i | 0.910140 | − | 0.808720i | ||||
\(454\) | 97.4238 | − | 298.681i | 0.214590 | − | 0.657888i | ||||
\(455\) | −77.1550 | − | 61.1156i | −0.169571 | − | 0.134320i | ||||
\(456\) | 15.2187 | + | 23.9555i | 0.0333744 | + | 0.0525341i | ||||
\(457\) | −518.387 | − | 518.387i | −1.13433 | − | 1.13433i | −0.989450 | − | 0.144877i | \(-0.953721\pi\) |
−0.144877 | − | 0.989450i | \(-0.546279\pi\) | |||||||
\(458\) | −122.640 | − | 780.069i | −0.267773 | − | 1.70321i | ||||
\(459\) | 222.058 | + | 457.925i | 0.483786 | + | 0.997658i | ||||
\(460\) | −138.980 | − | 78.6751i | −0.302130 | − | 0.171033i | ||||
\(461\) | 595.031 | + | 193.337i | 1.29074 | + | 0.419387i | 0.872351 | − | 0.488881i | \(-0.162595\pi\) |
0.418390 | + | 0.908268i | \(0.362595\pi\) | |||||||
\(462\) | −123.969 | − | 284.321i | −0.268330 | − | 0.615414i | ||||
\(463\) | −15.4450 | + | 30.3125i | −0.0333586 | + | 0.0654699i | −0.907084 | − | 0.420949i | \(-0.861697\pi\) |
0.873726 | + | 0.486419i | \(0.161697\pi\) | |||||||
\(464\) | −450.078 | − | 330.145i | −0.969996 | − | 0.711520i | ||||
\(465\) | −50.4421 | + | 19.6057i | −0.108478 | + | 0.0421629i | ||||
\(466\) | 244.939 | − | 177.533i | 0.525620 | − | 0.380971i | ||||
\(467\) | 565.119 | + | 89.5061i | 1.21011 | + | 0.191662i | 0.728698 | − | 0.684835i | \(-0.240126\pi\) |
0.481407 | + | 0.876497i | \(0.340126\pi\) | |||||||
\(468\) | 190.865 | + | 128.179i | 0.407831 | + | 0.273886i | ||||
\(469\) | −38.4985 | − | 52.9886i | −0.0820863 | − | 0.112982i | ||||
\(470\) | 11.5128 | − | 269.238i | 0.0244954 | − | 0.572847i | ||||
\(471\) | −39.7578 | + | 673.818i | −0.0844115 | + | 1.43061i | ||||
\(472\) | 708.905 | + | 364.263i | 1.50192 | + | 0.771743i | ||||
\(473\) | −297.224 | + | 151.443i | −0.628380 | + | 0.320176i | ||||
\(474\) | −75.9210 | − | 62.4556i | −0.160171 | − | 0.131763i | ||||
\(475\) | −6.76767 | − | 28.7784i | −0.0142477 | − | 0.0605861i | ||||
\(476\) | −188.328 | + | 136.174i | −0.395647 | + | 0.286079i | ||||
\(477\) | −424.690 | + | 16.6601i | −0.890335 | + | 0.0349267i | ||||
\(478\) | −36.2121 | + | 18.3991i | −0.0757576 | + | 0.0384917i | ||||
\(479\) | 120.378 | − | 165.687i | 0.251312 | − | 0.345901i | −0.664658 | − | 0.747147i | \(-0.731423\pi\) |
0.915970 | + | 0.401246i | \(0.131423\pi\) | |||||||
\(480\) | 239.373 | + | 416.054i | 0.498694 | + | 0.866778i | ||||
\(481\) | 113.137 | − | 82.1989i | 0.235212 | − | 0.170892i | ||||
\(482\) | −317.927 | − | 162.448i | −0.659599 | − | 0.337030i | ||||
\(483\) | 29.5894 | + | 67.6526i | 0.0612617 | + | 0.140068i | ||||
\(484\) | −377.999 | + | 517.786i | −0.780990 | + | 1.06981i | ||||
\(485\) | 339.595 | − | 312.457i | 0.700195 | − | 0.644241i | ||||
\(486\) | −464.890 | − | 141.679i | −0.956564 | − | 0.291521i | ||||
\(487\) | −558.012 | − | 284.321i | −1.14581 | − | 0.583822i | −0.225207 | − | 0.974311i | \(-0.572306\pi\) |
−0.920607 | + | 0.390489i | \(0.872306\pi\) | |||||||
\(488\) | 565.261 | − | 285.585i | 1.15832 | − | 0.585216i | ||||
\(489\) | −144.044 | + | 37.5831i | −0.294569 | + | 0.0768570i | ||||
\(490\) | 78.4002 | − | 387.129i | 0.160000 | − | 0.790059i | ||||
\(491\) | 80.6454 | + | 248.201i | 0.164247 | + | 0.505501i | 0.998980 | − | 0.0451542i | \(-0.0143779\pi\) |
−0.834733 | + | 0.550655i | \(0.814378\pi\) | |||||||
\(492\) | 357.468 | − | 606.683i | 0.726561 | − | 1.23310i | ||||
\(493\) | 464.976 | − | 464.976i | 0.943156 | − | 0.943156i | ||||
\(494\) | −8.89205 | + | 12.2096i | −0.0180001 | + | 0.0247158i | ||||
\(495\) | −116.282 | − | 745.688i | −0.234912 | − | 1.50644i | ||||
\(496\) | 33.7174 | + | 46.8556i | 0.0679787 | + | 0.0944670i | ||||
\(497\) | 246.488 | − | 39.0398i | 0.495951 | − | 0.0785510i | ||||
\(498\) | 184.802 | − | 837.599i | 0.371089 | − | 1.68193i | ||||
\(499\) | −561.217 | −1.12468 | −0.562342 | − | 0.826905i | \(-0.690099\pi\) | ||||
−0.562342 | + | 0.826905i | \(0.690099\pi\) | |||||||
\(500\) | −93.0022 | − | 491.274i | −0.186004 | − | 0.982549i | ||||
\(501\) | −465.425 | − | 727.115i | −0.928992 | − | 1.45133i | ||||
\(502\) | −443.196 | + | 442.188i | −0.882861 | + | 0.880852i | ||||
\(503\) | 347.980 | − | 55.1147i | 0.691810 | − | 0.109572i | 0.199378 | − | 0.979923i | \(-0.436108\pi\) |
0.492432 | + | 0.870351i | \(0.336108\pi\) | |||||||
\(504\) | 26.8521 | − | 220.303i | 0.0532780 | − | 0.437108i | ||||
\(505\) | 304.660 | − | 202.544i | 0.603288 | − | 0.401078i | ||||
\(506\) | 157.679 | − | 216.508i | 0.311619 | − | 0.427881i | ||||
\(507\) | 82.4436 | − | 375.701i | 0.162611 | − | 0.741029i | ||||
\(508\) | −79.2419 | + | 40.1486i | −0.155988 | + | 0.0790326i | ||||
\(509\) | 126.449 | + | 389.169i | 0.248426 | + | 0.764575i | 0.995054 | + | 0.0993340i | \(0.0316712\pi\) |
−0.746629 | + | 0.665241i | \(0.768329\pi\) | |||||||
\(510\) | −527.294 | + | 204.256i | −1.03391 | + | 0.400502i | ||||
\(511\) | 133.920 | + | 43.5131i | 0.262074 | + | 0.0851529i | ||||
\(512\) | 365.732 | − | 358.307i | 0.714320 | − | 0.699819i | ||||
\(513\) | 10.4635 | − | 30.1653i | 0.0203967 | − | 0.0588018i | ||||
\(514\) | −1.03132 | + | 905.203i | −0.00200646 | + | 1.76110i | ||||
\(515\) | 705.946 | − | 649.531i | 1.37077 | − | 1.26123i | ||||
\(516\) | −238.236 | − | 14.6017i | −0.461698 | − | 0.0282978i | ||||
\(517\) | 446.390 | + | 70.7013i | 0.863424 | + | 0.136753i | ||||
\(518\) | −120.209 | − | 61.4223i | −0.232064 | − | 0.118576i | ||||
\(519\) | −234.886 | − | 91.9408i | −0.452573 | − | 0.177150i | ||||
\(520\) | −159.301 | + | 199.703i | −0.306349 | + | 0.384044i | ||||
\(521\) | −331.050 | + | 455.652i | −0.635414 | + | 0.874572i | −0.998361 | − | 0.0572380i | \(-0.981771\pi\) |
0.362947 | + | 0.931810i | \(0.381771\pi\) | |||||||
\(522\) | 23.9000 | + | 627.499i | 0.0457854 | + | 1.20211i | ||||
\(523\) | −518.988 | + | 264.438i | −0.992329 | + | 0.505617i | −0.873252 | − | 0.487268i | \(-0.837993\pi\) |
−0.119077 | + | 0.992885i | \(0.537993\pi\) | |||||||
\(524\) | −245.166 | − | 339.064i | −0.467874 | − | 0.647068i | ||||
\(525\) | −101.862 | + | 207.529i | −0.194023 | + | 0.395294i | ||||
\(526\) | −642.429 | + | 207.929i | −1.22135 | + | 0.395302i | ||||
\(527\) | −60.5932 | + | 30.8738i | −0.114978 | + | 0.0585841i | ||||
\(528\) | −739.016 | + | 319.221i | −1.39965 | + | 0.604585i | ||||
\(529\) | 273.460 | − | 376.385i | 0.516937 | − | 0.711503i | ||||
\(530\) | 20.1750 | − | 471.810i | 0.0380660 | − | 0.890207i | ||||
\(531\) | −174.872 | − | 879.424i | −0.329327 | − | 1.65617i | ||||
\(532\) | 14.3955 | + | 2.31366i | 0.0270592 | + | 0.00434899i | ||||
\(533\) | 370.144 | + | 58.6250i | 0.694454 | + | 0.109991i | ||||
\(534\) | 250.971 | − | 639.021i | 0.469982 | − | 1.19667i | ||||
\(535\) | −110.134 | + | 547.030i | −0.205858 | + | 1.02249i | ||||
\(536\) | −137.866 | + | 99.4474i | −0.257213 | + | 0.185536i | ||||
\(537\) | 731.811 | − | 72.0545i | 1.36278 | − | 0.134180i | ||||
\(538\) | −40.8969 | + | 256.323i | −0.0760166 | + | 0.476436i | ||||
\(539\) | 630.017 | + | 204.705i | 1.16886 | + | 0.379786i | ||||
\(540\) | 199.173 | − | 501.926i | 0.368840 | − | 0.929493i | ||||
\(541\) | 28.2370 | + | 86.9046i | 0.0521941 | + | 0.160637i | 0.973756 | − | 0.227595i | \(-0.0730861\pi\) |
−0.921562 | + | 0.388232i | \(0.873086\pi\) | |||||||
\(542\) | 139.157 | + | 885.127i | 0.256747 | + | 1.63308i | ||||
\(543\) | −577.890 | − | 126.812i | −1.06425 | − | 0.233539i | ||||
\(544\) | 351.749 | + | 489.987i | 0.646598 | + | 0.900712i | ||||
\(545\) | −784.468 | − | 621.389i | −1.43939 | − | 1.14016i | ||||
\(546\) | 114.321 | − | 29.6889i | 0.209379 | − | 0.0543752i | ||||
\(547\) | −4.17712 | + | 0.661591i | −0.00763642 | + | 0.00120949i | −0.160252 | − | 0.987076i | \(-0.551231\pi\) |
0.152615 | + | 0.988286i | \(0.451231\pi\) | |||||||
\(548\) | −105.268 | + | 205.442i | −0.192096 | + | 0.374895i | ||||
\(549\) | −647.008 | − | 298.323i | −1.17852 | − | 0.543393i | ||||
\(550\) | 836.338 | − | 60.9505i | 1.52061 | − | 0.110819i | ||||
\(551\) | −41.2544 | −0.0748719 | ||||||||
\(552\) | 175.846 | − | 76.1951i | 0.318561 | − | 0.138035i | ||||
\(553\) | −49.8830 | + | 7.90069i | −0.0902043 | + | 0.0142870i | ||||
\(554\) | 187.822 | − | 575.823i | 0.339028 | − | 1.03939i | ||||
\(555\) | −245.011 | − | 218.758i | −0.441461 | − | 0.394158i | ||||
\(556\) | −406.349 | − | 133.055i | −0.730843 | − | 0.239308i | ||||
\(557\) | 278.916 | − | 278.916i | 0.500747 | − | 0.500747i | −0.410923 | − | 0.911670i | \(-0.634794\pi\) |
0.911670 | + | 0.410923i | \(0.134794\pi\) | |||||||
\(558\) | 17.7029 | − | 62.4825i | 0.0317256 | − | 0.111976i | ||||
\(559\) | −39.2537 | − | 120.811i | −0.0702213 | − | 0.216119i | ||||
\(560\) | 241.517 | + | 49.7713i | 0.431281 | + | 0.0888773i | ||||
\(561\) | −239.425 | − | 917.640i | −0.426782 | − | 1.63572i | ||||
\(562\) | −474.892 | − | 75.7703i | −0.845004 | − | 0.134823i | ||||
\(563\) | −358.482 | − | 182.656i | −0.636735 | − | 0.324433i | 0.105653 | − | 0.994403i | \(-0.466307\pi\) |
−0.742388 | + | 0.669970i | \(0.766307\pi\) | |||||||
\(564\) | 249.502 | + | 205.727i | 0.442380 | + | 0.364765i | ||||
\(565\) | 717.215 | − | 83.1971i | 1.26941 | − | 0.147251i | ||||
\(566\) | 718.898 | − | 521.060i | 1.27014 | − | 0.920600i | ||||
\(567\) | −212.899 | + | 130.429i | −0.375483 | + | 0.230033i | ||||
\(568\) | −99.1359 | − | 640.071i | −0.174535 | − | 1.12689i | ||||
\(569\) | −427.932 | + | 310.911i | −0.752078 | + | 0.546416i | −0.896470 | − | 0.443104i | \(-0.853877\pi\) |
0.144392 | + | 0.989520i | \(0.453877\pi\) | |||||||
\(570\) | 32.4529 | + | 14.3306i | 0.0569350 | + | 0.0251413i | ||||
\(571\) | 249.306 | − | 343.140i | 0.436613 | − | 0.600947i | −0.532842 | − | 0.846215i | \(-0.678876\pi\) |
0.969455 | + | 0.245268i | \(0.0788760\pi\) | |||||||
\(572\) | −302.255 | − | 303.635i | −0.528417 | − | 0.530831i | ||||
\(573\) | 369.491 | − | 630.368i | 0.644836 | − | 1.10012i | ||||
\(574\) | −111.396 | − | 344.175i | −0.194069 | − | 0.599608i | ||||
\(575\) | −199.084 | + | 14.7369i | −0.346233 | + | 0.0256294i | ||||
\(576\) | −571.527 | − | 71.6452i | −0.992234 | − | 0.124384i | ||||
\(577\) | −416.923 | + | 212.433i | −0.722570 | + | 0.368168i | −0.776279 | − | 0.630389i | \(-0.782895\pi\) |
0.0537098 | + | 0.998557i | \(0.482895\pi\) | |||||||
\(578\) | −118.195 | + | 60.0536i | −0.204489 | + | 0.103899i | ||||
\(579\) | −189.159 | − | 11.1611i | −0.326700 | − | 0.0192765i | ||||
\(580\) | −697.055 | − | 30.6024i | −1.20182 | − | 0.0527627i | ||||
\(581\) | −259.009 | − | 356.495i | −0.445798 | − | 0.613588i | ||||
\(582\) | 53.6335 | + | 551.160i | 0.0921537 | + | 0.947010i | ||||
\(583\) | 782.250 | + | 123.896i | 1.34177 | + | 0.212515i | ||||
\(584\) | 114.120 | − | 347.184i | 0.195412 | − | 0.594493i | ||||
\(585\) | 287.388 | + | 0.685966i | 0.491262 | + | 0.00117259i | ||||
\(586\) | −1032.61 | − | 1.17648i | −1.76213 | − | 0.00200764i | ||||
\(587\) | −136.846 | + | 268.574i | −0.233127 | + | 0.457537i | −0.977701 | − | 0.210003i | \(-0.932653\pi\) |
0.744574 | + | 0.667540i | \(0.232653\pi\) | |||||||
\(588\) | 314.027 | + | 355.034i | 0.534059 | + | 0.603800i | ||||
\(589\) | 4.05765 | + | 1.31841i | 0.00688905 | + | 0.00223839i | ||||
\(590\) | 989.764 | − | 113.670i | 1.67757 | − | 0.192661i | ||||
\(591\) | −348.021 | − | 285.631i | −0.588868 | − | 0.483302i | ||||
\(592\) | −160.479 | + | 311.442i | −0.271080 | + | 0.526084i | ||||
\(593\) | −94.1094 | − | 94.1094i | −0.158700 | − | 0.158700i | 0.623290 | − | 0.781991i | \(-0.285796\pi\) |
−0.781991 | + | 0.623290i | \(0.785796\pi\) | |||||||
\(594\) | 798.177 | + | 427.899i | 1.34373 | + | 0.720369i | ||||
\(595\) | −101.181 | + | 272.312i | −0.170053 | + | 0.457668i | ||||
\(596\) | 0.898046 | − | 394.112i | 0.00150679 | − | 0.661262i | ||||
\(597\) | 132.299 | + | 148.890i | 0.221606 | + | 0.249397i | ||||
\(598\) | 72.0379 | + | 72.2022i | 0.120465 | + | 0.120739i | ||||
\(599\) | 350.031i | 0.584359i | 0.956364 | + | 0.292179i | \(0.0943804\pi\) | ||||
−0.956364 | + | 0.292179i | \(0.905620\pi\) | |||||||
\(600\) | 537.710 | + | 266.210i | 0.896184 | + | 0.443683i | ||||
\(601\) | −500.921 | −0.833479 | −0.416739 | − | 0.909026i | \(-0.636827\pi\) | ||||
−0.416739 | + | 0.909026i | \(0.636827\pi\) | |||||||
\(602\) | −86.8040 | + | 86.6064i | −0.144193 | + | 0.143864i | ||||
\(603\) | 184.056 | + | 51.9214i | 0.305234 | + | 0.0861052i | ||||
\(604\) | −735.387 | − | 1.67569i | −1.21753 | − | 0.00277433i | ||||
\(605\) | −33.3230 | + | 800.659i | −0.0550794 | + | 1.32340i | ||||
\(606\) | −26.3578 | + | 438.221i | −0.0434947 | + | 0.723137i | ||||
\(607\) | −169.671 | + | 169.671i | −0.279524 | + | 0.279524i | −0.832919 | − | 0.553395i | \(-0.813332\pi\) |
0.553395 | + | 0.832919i | \(0.313332\pi\) | |||||||
\(608\) | 6.13249 | − | 37.3410i | 0.0100863 | − | 0.0614162i | ||||
\(609\) | 249.368 | + | 204.664i | 0.409471 | + | 0.336065i | ||||
\(610\) | 389.200 | − | 689.354i | 0.638033 | − | 1.13009i | ||||
\(611\) | −53.1830 | + | 163.680i | −0.0870426 | + | 0.267889i | ||||
\(612\) | 185.718 | − | 652.658i | 0.303461 | − | 1.06643i | ||||
\(613\) | 63.8685 | + | 32.5427i | 0.104190 | + | 0.0530875i | 0.505309 | − | 0.862939i | \(-0.331379\pi\) |
−0.401119 | + | 0.916026i | \(0.631379\pi\) | |||||||
\(614\) | −0.383285 | + | 336.414i | −0.000624242 | + | 0.547905i | ||||
\(615\) | −49.7479 | − | 878.799i | −0.0808909 | − | 1.42894i | ||||
\(616\) | −129.142 | + | 392.883i | −0.209645 | + | 0.637796i | ||||
\(617\) | −122.623 | + | 774.210i | −0.198741 | + | 1.25480i | 0.663453 | + | 0.748218i | \(0.269090\pi\) |
−0.862193 | + | 0.506580i | \(0.830910\pi\) | |||||||
\(618\) | 111.493 | + | 1145.74i | 0.180409 | + | 1.85396i | ||||
\(619\) | 932.506 | − | 677.506i | 1.50647 | − | 1.09452i | 0.538760 | − | 0.842459i | \(-0.318893\pi\) |
0.967712 | − | 0.252057i | \(-0.0811070\pi\) | |||||||
\(620\) | 67.5821 | + | 25.2865i | 0.109003 | + | 0.0407846i | ||||
\(621\) | −190.132 | − | 101.650i | −0.306171 | − | 0.163688i | ||||
\(622\) | 69.5714 | + | 136.927i | 0.111851 | + | 0.220140i | ||||
\(623\) | −160.121 | − | 314.256i | −0.257017 | − | 0.504424i | ||||
\(624\) | −76.0392 | − | 296.968i | −0.121858 | − | 0.475910i | ||||
\(625\) | −437.812 | − | 446.034i | −0.700498 | − | 0.713654i | ||||
\(626\) | 265.294 | − | 85.8654i | 0.423793 | − | 0.137165i | ||||
\(627\) | −30.0869 | + | 51.3296i | −0.0479855 | + | 0.0818654i | ||||
\(628\) | 637.835 | − | 634.934i | 1.01566 | − | 1.01104i | ||||
\(629\) | −333.916 | − | 242.604i | −0.530869 | − | 0.385699i | ||||
\(630\) | −125.072 | − | 247.622i | −0.198527 | − | 0.393051i | ||||
\(631\) | 133.329 | + | 183.511i | 0.211297 | + | 0.290826i | 0.901490 | − | 0.432800i | \(-0.142474\pi\) |
−0.690193 | + | 0.723626i | \(0.742474\pi\) | |||||||
\(632\) | 20.0626 | + | 129.534i | 0.0317447 | + | 0.204960i | ||||
\(633\) | 287.535 | + | 657.415i | 0.454242 | + | 1.03857i | ||||
\(634\) | 268.545 | + | 370.507i | 0.423572 | + | 0.584396i | ||||
\(635\) | −54.4819 | + | 96.7559i | −0.0857982 | + | 0.152371i | ||||
\(636\) | 437.225 | + | 360.514i | 0.687461 | + | 0.566846i | ||||
\(637\) | −114.522 | + | 224.762i | −0.179783 | + | 0.352844i | ||||
\(638\) | 184.371 | − | 1155.55i | 0.288983 | − | 1.81121i | ||||
\(639\) | −494.652 | + | 535.045i | −0.774103 | + | 0.837317i | ||||
\(640\) | 131.317 | − | 626.383i | 0.205183 | − | 0.978724i | ||||
\(641\) | −175.446 | + | 57.0057i | −0.273706 | + | 0.0889325i | −0.442654 | − | 0.896692i | \(-0.645963\pi\) |
0.168948 | + | 0.985625i | \(0.445963\pi\) | |||||||
\(642\) | −444.203 | − | 501.058i | −0.691905 | − | 0.780464i | ||||
\(643\) | −84.8609 | − | 84.8609i | −0.131976 | − | 0.131976i | 0.638033 | − | 0.770009i | \(-0.279748\pi\) |
−0.770009 | + | 0.638033i | \(0.779748\pi\) | |||||||
\(644\) | 30.6372 | − | 93.5657i | 0.0475733 | − | 0.145288i | ||||
\(645\) | −257.755 | + | 150.258i | −0.399620 | + | 0.232958i | ||||
\(646\) | 42.3819 | + | 13.8241i | 0.0656067 | + | 0.0213996i | ||||
\(647\) | 26.0576 | + | 164.521i | 0.0402745 | + | 0.254283i | 0.999608 | − | 0.0279914i | \(-0.00891110\pi\) |
−0.959334 | + | 0.282275i | \(0.908911\pi\) | |||||||
\(648\) | 336.621 | + | 553.706i | 0.519476 | + | 0.854485i | ||||
\(649\) | 1670.86i | 2.57451i | ||||||||
\(650\) | −26.8966 | + | 318.186i | −0.0413793 | + | 0.489518i | ||||
\(651\) | −17.9864 | − | 28.0994i | −0.0276288 | − | 0.0431634i | ||||
\(652\) | 176.649 | + | 90.5146i | 0.270934 | + | 0.138826i | ||||
\(653\) | −144.435 | − | 911.928i | −0.221187 | − | 1.39652i | −0.809135 | − | 0.587622i | \(-0.800064\pi\) |
0.587948 | − | 0.808899i | \(-0.299936\pi\) | |||||||
\(654\) | 1162.35 | − | 301.860i | 1.77730 | − | 0.461559i | ||||
\(655\) | −490.268 | − | 182.166i | −0.748502 | − | 0.278116i | ||||
\(656\) | −894.247 | + | 286.059i | −1.36318 | + | 0.436066i | ||||
\(657\) | −385.738 | + | 142.279i | −0.587120 | + | 0.216559i | ||||
\(658\) | 164.116 | − | 25.8018i | 0.249416 | − | 0.0392124i | ||||
\(659\) | −481.105 | + | 156.320i | −0.730053 | + | 0.237208i | −0.650376 | − | 0.759612i | \(-0.725389\pi\) |
−0.0796765 | + | 0.996821i | \(0.525389\pi\) | |||||||
\(660\) | −546.439 | + | 844.972i | −0.827938 | + | 1.28026i | ||||
\(661\) | −153.265 | + | 471.700i | −0.231868 | + | 0.713616i | 0.765654 | + | 0.643253i | \(0.222416\pi\) |
−0.997521 | + | 0.0703628i | \(0.977584\pi\) | |||||||
\(662\) | 192.160 | + | 30.6596i | 0.290272 | + | 0.0463136i | ||||
\(663\) | 359.397 | − | 35.3864i | 0.542077 | − | 0.0533731i | ||||
\(664\) | −927.531 | + | 669.059i | −1.39688 | + | 1.00762i | ||||
\(665\) | 16.5689 | − | 7.59169i | 0.0249156 | − | 0.0114161i | ||||
\(666\) | 386.669 | − | 76.4308i | 0.580585 | − | 0.114761i | ||||
\(667\) | −43.5784 | + | 275.143i | −0.0653349 | + | 0.412508i | ||||
\(668\) | −182.660 | + | 1136.50i | −0.273443 | + | 1.70135i | ||||
\(669\) | −558.660 | − | 218.675i | −0.835067 | − | 0.326868i | ||||
\(670\) | −74.2362 | + | 199.099i | −0.110800 | + | 0.297162i | ||||
\(671\) | 1074.10 | + | 780.379i | 1.60074 | + | 1.16301i | ||||
\(672\) | −222.318 | + | 195.289i | −0.330830 | + | 0.290609i | ||||
\(673\) | −22.6330 | − | 44.4199i | −0.0336301 | − | 0.0660028i | 0.873580 | − | 0.486680i | \(-0.161792\pi\) |
−0.907210 | + | 0.420678i | \(0.861792\pi\) | |||||||
\(674\) | 241.260 | + | 745.412i | 0.357953 | + | 1.10595i | ||||
\(675\) | −141.530 | − | 659.996i | −0.209674 | − | 0.977771i | ||||
\(676\) | −415.594 | + | 300.502i | −0.614784 | + | 0.444530i | ||||
\(677\) | −279.282 | − | 548.122i | −0.412529 | − | 0.809634i | −1.00000 | 0.000388497i | \(-0.999876\pi\) | |
0.587471 | − | 0.809245i | \(-0.300124\pi\) | |||||||
\(678\) | −438.990 | + | 746.985i | −0.647478 | + | 1.10175i | ||||
\(679\) | 230.155 | + | 167.217i | 0.338961 | + | 0.246270i | ||||
\(680\) | 705.851 | + | 265.018i | 1.03802 | + | 0.389732i | ||||
\(681\) | 438.833 | + | 171.771i | 0.644394 | + | 0.252234i | ||||
\(682\) | −55.0632 | + | 107.764i | −0.0807378 | + | 0.158012i | ||||
\(683\) | 171.460 | − | 1082.55i | 0.251039 | − | 1.58500i | −0.463949 | − | 0.885862i | \(-0.653568\pi\) |
0.714988 | − | 0.699137i | \(-0.246432\pi\) | |||||||
\(684\) | −37.1919 | + | 20.7143i | −0.0543742 | + | 0.0302841i | ||||
\(685\) | 33.2492 | + | 286.630i | 0.0485390 | + | 0.418438i | ||||
\(686\) | 545.578 | + | 0.621591i | 0.795303 | + | 0.000906109i | ||||
\(687\) | 1178.78 | − | 116.063i | 1.71583 | − | 0.168942i | ||||
\(688\) | 224.005 | + | 226.056i | 0.325588 | + | 0.328570i | ||||
\(689\) | −93.1973 | + | 286.832i | −0.135265 | + | 0.416302i | ||||
\(690\) | 129.858 | − | 201.304i | 0.188199 | − | 0.291746i | ||||
\(691\) | 602.145 | − | 195.649i | 0.871411 | − | 0.283138i | 0.161024 | − | 0.986950i | \(-0.448520\pi\) |
0.710386 | + | 0.703812i | \(0.248520\pi\) | |||||||
\(692\) | 152.002 | + | 300.009i | 0.219656 | + | 0.433539i | ||||
\(693\) | 436.511 | − | 161.007i | 0.629886 | − | 0.232333i | ||||
\(694\) | 150.197 | + | 109.386i | 0.216422 | + | 0.157617i | ||||
\(695\) | −514.742 | + | 143.881i | −0.740636 | + | 0.207023i | ||||
\(696\) | 533.388 | − | 645.384i | 0.766363 | − | 0.927276i | ||||
\(697\) | −173.028 | − | 1092.45i | −0.248246 | − | 1.56737i | ||||
\(698\) | −266.962 | − | 267.571i | −0.382467 | − | 0.383339i | ||||
\(699\) | 244.631 | + | 382.177i | 0.349973 | + | 0.546749i | ||||
\(700\) | 285.588 | − | 115.982i | 0.407982 | − | 0.165689i | ||||
\(701\) | 917.097i | 1.30827i | 0.756378 | + | 0.654135i | \(0.226967\pi\) | ||||
−0.756378 | + | 0.654135i | \(0.773033\pi\) | |||||||
\(702\) | −208.485 | + | 274.713i | −0.296987 | + | 0.391329i | ||||
\(703\) | 4.05077 | + | 25.5756i | 0.00576212 | + | 0.0363806i | ||||
\(704\) | 1018.53 | + | 338.654i | 1.44677 | + | 0.481043i | ||||
\(705\) | 402.185 | + | 40.5688i | 0.570475 | + | 0.0575444i | ||||
\(706\) | 131.068 | + | 95.4550i | 0.185649 | + | 0.135205i | ||||
\(707\) | 159.478 | + | 159.478i | 0.225570 | + | 0.225570i | ||||
\(708\) | −606.905 | + | 1030.02i | −0.857211 | + | 1.45483i | ||||
\(709\) | −1194.52 | + | 388.124i | −1.68480 | + | 0.547425i | −0.985833 | − | 0.167729i | \(-0.946357\pi\) |
−0.698967 | + | 0.715154i | \(0.746357\pi\) | |||||||
\(710\) | −547.513 | − | 596.429i | −0.771145 | − | 0.840041i | ||||
\(711\) | 100.105 | − | 108.280i | 0.140795 | − | 0.152292i | ||||
\(712\) | −817.029 | + | 412.785i | −1.14751 | + | 0.579755i | ||||
\(713\) | 13.0793 | − | 25.6695i | 0.0183440 | − | 0.0360021i | ||||
\(714\) | −187.602 | − | 293.819i | −0.262747 | − | 0.411511i | ||||
\(715\) | −525.003 | − | 105.699i | −0.734270 | − | 0.147831i | ||||
\(716\) | −791.899 | − | 578.110i | −1.10600 | − | 0.807416i | ||||
\(717\) | −24.4149 | − | 55.8217i | −0.0340514 | − | 0.0778545i | ||||
\(718\) | 115.316 | − | 225.685i | 0.160608 | − | 0.314325i | ||||
\(719\) | 184.679 | + | 254.188i | 0.256855 | + | 0.353530i | 0.917897 | − | 0.396818i | \(-0.129886\pi\) |
−0.661042 | + | 0.750348i | \(0.729886\pi\) | |||||||
\(720\) | −643.779 | + | 322.410i | −0.894138 | + | 0.447792i | ||||
\(721\) | 478.443 | + | 347.609i | 0.663583 | + | 0.482121i | ||||
\(722\) | 325.781 | + | 641.186i | 0.451220 | + | 0.888070i | ||||
\(723\) | 270.813 | − | 462.018i | 0.374568 | − | 0.639029i | ||||
\(724\) | 462.221 | + | 639.251i | 0.638427 | + | 0.882943i | ||||
\(725\) | −745.749 | + | 452.238i | −1.02862 | + | 0.623776i | ||||
\(726\) | −742.630 | − | 610.916i | −1.02291 | − | 0.841482i | ||||
\(727\) | 180.840 | + | 354.919i | 0.248748 | + | 0.488196i | 0.981292 | − | 0.192524i | \(-0.0616672\pi\) |
−0.732544 | + | 0.680720i | \(0.761667\pi\) | |||||||
\(728\) | −140.074 | − | 71.9756i | −0.192410 | − | 0.0988675i | ||||
\(729\) | 252.445 | − | 683.895i | 0.346290 | − | 0.938128i | ||||
\(730\) | −122.476 | − | 440.099i | −0.167776 | − | 0.602876i | ||||
\(731\) | −303.311 | + | 220.369i | −0.414927 | + | 0.301462i | ||||
\(732\) | 378.685 | + | 871.220i | 0.517329 | + | 1.19019i | ||||
\(733\) | 14.9604 | − | 94.4564i | 0.0204098 | − | 0.128863i | −0.975380 | − | 0.220533i | \(-0.929220\pi\) |
0.995789 | + | 0.0916699i | \(0.0292205\pi\) | |||||||
\(734\) | −343.441 | − | 473.841i | −0.467904 | − | 0.645560i | ||||
\(735\) | 572.931 | + | 150.947i | 0.779498 | + | 0.205370i | ||||
\(736\) | −242.565 | − | 80.3447i | −0.329572 | − | 0.109164i | ||||
\(737\) | −317.525 | − | 161.787i | −0.430835 | − | 0.219521i | ||||
\(738\) | 877.532 | + | 587.873i | 1.18907 | + | 0.796576i | ||||
\(739\) | 129.280 | − | 397.884i | 0.174940 | − | 0.538409i | −0.824691 | − | 0.565583i | \(-0.808651\pi\) |
0.999631 | + | 0.0271747i | \(0.00865104\pi\) | |||||||
\(740\) | 49.4720 | + | 435.142i | 0.0668540 | + | 0.588030i | ||||
\(741\) | −17.5133 | − | 14.3737i | −0.0236347 | − | 0.0193977i | ||||
\(742\) | 287.595 | − | 45.2147i | 0.387594 | − | 0.0609363i | ||||
\(743\) | 79.3562 | − | 79.3562i | 0.106805 | − | 0.106805i | −0.651685 | − | 0.758490i | \(-0.725938\pi\) |
0.758490 | + | 0.651685i | \(0.225938\pi\) | |||||||
\(744\) | −73.0876 | + | 46.4318i | −0.0982360 | + | 0.0624084i | ||||
\(745\) | −272.744 | − | 410.252i | −0.366099 | − | 0.550674i | ||||
\(746\) | −211.141 | − | 68.8700i | −0.283031 | − | 0.0923191i | ||||
\(747\) | 1238.29 | + | 349.315i | 1.65768 | + | 0.467624i | ||||
\(748\) | −576.628 | + | 1125.35i | −0.770893 | + | 1.50448i | ||||
\(749\) | −344.000 | −0.459280 | ||||||||
\(750\) | 743.740 | − | 96.7034i | 0.991653 | − | 0.128938i | ||||
\(751\) | 331.529i | 0.441450i | 0.975336 | + | 0.220725i | \(0.0708423\pi\) | ||||
−0.975336 | + | 0.220725i | \(0.929158\pi\) | |||||||
\(752\) | −65.5090 | − | 426.169i | −0.0871131 | − | 0.566714i | ||||
\(753\) | −623.773 | − | 701.998i | −0.828384 | − | 0.932269i | ||||
\(754\) | 423.631 | + | 138.180i | 0.561845 | + | 0.183263i | ||||
\(755\) | −765.503 | + | 508.921i | −1.01391 | + | 0.674068i | ||||
\(756\) | 327.576 | + | 59.2992i | 0.433301 | + | 0.0784381i | ||||
\(757\) | −472.747 | − | 472.747i | −0.624501 | − | 0.624501i | 0.322178 | − | 0.946679i | \(-0.395585\pi\) |
−0.946679 | + | 0.322178i | \(0.895585\pi\) | |||||||
\(758\) | −1026.36 | + | 161.361i | −1.35403 | + | 0.212877i | ||||
\(759\) | 310.557 | + | 254.883i | 0.409166 | + | 0.335815i | ||||
\(760\) | −19.5562 | − | 43.0696i | −0.0257318 | − | 0.0566705i | ||||
\(761\) | 267.322 | + | 86.8583i | 0.351278 | + | 0.114137i | 0.479341 | − | 0.877629i | \(-0.340876\pi\) |
−0.128063 | + | 0.991766i | \(0.540876\pi\) | |||||||
\(762\) | −53.2563 | − | 122.143i | −0.0698902 | − | 0.160293i | ||||
\(763\) | 280.088 | − | 549.704i | 0.367088 | − | 0.720451i | ||||
\(764\) | −927.235 | + | 298.943i | −1.21366 | + | 0.391286i | ||||
\(765\) | −260.185 | − | 807.318i | −0.340111 | − | 1.05532i | ||||
\(766\) | 527.676 | + | 728.027i | 0.688873 | + | 0.950427i | ||||
\(767\) | −628.426 | − | 99.5330i | −0.819330 | − | 0.129769i | ||||
\(768\) | 504.874 | + | 578.728i | 0.657389 | + | 0.753552i | ||||
\(769\) | 193.017 | + | 265.666i | 0.250998 | + | 0.345469i | 0.915860 | − | 0.401497i | \(-0.131510\pi\) |
−0.664862 | + | 0.746966i | \(0.731510\pi\) | |||||||
\(770\) | 138.597 | + | 498.028i | 0.179997 | + | 0.646790i | ||||
\(771\) | −1355.45 | − | 79.9766i | −1.75804 | − | 0.103731i | ||||
\(772\) | 178.244 | + | 179.058i | 0.230885 | + | 0.231940i | ||||
\(773\) | −1057.61 | + | 538.881i | −1.36819 | + | 0.697129i | −0.974975 | − | 0.222316i | \(-0.928638\pi\) |
−0.393218 | + | 0.919445i | \(0.628638\pi\) | |||||||
\(774\) | 42.5082 | − | 355.492i | 0.0549201 | − | 0.459293i | ||||
\(775\) | 87.8020 | − | 20.6480i | 0.113293 | − | 0.0266425i | ||||
\(776\) | 436.031 | − | 595.851i | 0.561895 | − | 0.767850i | ||||
\(777\) | 102.395 | − | 174.691i | 0.131783 | − | 0.224827i | ||||
\(778\) | −631.020 | − | 1241.94i | −0.811080 | − | 1.59633i | ||||
\(779\) | −40.7875 | + | 56.1392i | −0.0523588 | + | 0.0720657i | ||||
\(780\) | −285.251 | − | 255.857i | −0.365707 | − | 0.328021i | ||||
\(781\) | 1098.51 | − | 798.117i | 1.40655 | − | 1.02192i | ||||
\(782\) | 136.968 | − | 268.060i | 0.175151 | − | 0.342788i | ||||
\(783\) | −941.747 | − | 18.5801i | −1.20274 | − | 0.0237294i | ||||
\(784\) | 2.88012 | − | 631.974i | 0.00367362 | − | 0.806089i | ||||
\(785\) | 222.039 | − | 1102.85i | 0.282852 | − | 1.40491i | ||||
\(786\) | 528.989 | − | 337.756i | 0.673014 | − | 0.429715i | ||||
\(787\) | −832.152 | − | 424.003i | −1.05737 | − | 0.538758i | −0.163252 | − | 0.986584i | \(-0.552198\pi\) |
−0.894121 | + | 0.447826i | \(0.852198\pi\) | |||||||
\(788\) | 92.5567 | + | 593.124i | 0.117458 | + | 0.752695i | ||||
\(789\) | −255.709 | − | 980.051i | −0.324092 | − | 1.24214i | ||||
\(790\) | 110.803 | + | 120.702i | 0.140257 | + | 0.152788i | ||||
\(791\) | 137.548 | + | 423.329i | 0.173891 | + | 0.535182i | ||||
\(792\) | −413.999 | − | 1134.33i | −0.522726 | − | 1.43224i | ||||
\(793\) | −357.493 | + | 357.493i | −0.450811 | + | 0.450811i | ||||
\(794\) | 642.339 | + | 467.806i | 0.808991 | + | 0.589176i | ||||
\(795\) | 704.785 | + | 71.0924i | 0.886521 | + | 0.0894244i | ||||
\(796\) | 0.605137 | − | 265.568i | 0.000760222 | − | 0.333628i | ||||
\(797\) | −866.798 | + | 137.287i | −1.08758 | + | 0.172255i | −0.674378 | − | 0.738386i | \(-0.735588\pi\) |
−0.413198 | + | 0.910641i | \(0.635588\pi\) | |||||||
\(798\) | −4.71201 | + | 21.3567i | −0.00590478 | + | 0.0267628i | ||||
\(799\) | 507.952 | 0.635735 | ||||||||
\(800\) | −298.482 | − | 742.232i | −0.373103 | − | 0.927790i | ||||
\(801\) | 935.185 | + | 431.196i | 1.16752 | + | 0.538322i | ||||
\(802\) | −150.553 | − | 150.896i | −0.187721 | − | 0.188150i | ||||
\(803\) | 756.712 | − | 119.851i | 0.942356 | − | 0.149254i | ||||
\(804\) | −136.976 | − | 215.071i | −0.170369 | − | 0.267501i | ||||
\(805\) | −33.1299 | − | 118.524i | −0.0411552 | − | 0.147235i | ||||
\(806\) | −37.2510 | − | 27.1294i | −0.0462172 | − | 0.0336593i | ||||
\(807\) | −380.298 | − | 83.4523i | −0.471250 | − | 0.103411i | ||||
\(808\) | 415.318 | − | 412.488i | 0.514007 | − | 0.510506i | ||||
\(809\) | −385.397 | − | 1186.13i | −0.476387 | − | 1.46617i | −0.844078 | − | 0.536221i | \(-0.819851\pi\) |
0.367690 | − | 0.929948i | \(-0.380149\pi\) | |||||||
\(810\) | 734.375 | + | 341.751i | 0.906635 | + | 0.421915i | ||||
\(811\) | 1006.29 | + | 326.962i | 1.24080 | + | 0.403159i | 0.854614 | − | 0.519263i | \(-0.173794\pi\) |
0.386182 | + | 0.922422i | \(0.373794\pi\) | |||||||
\(812\) | −66.3197 | − | 424.992i | −0.0816745 | − | 0.523389i | ||||
\(813\) | −1337.53 | + | 131.694i | −1.64518 | + | 0.161985i | ||||
\(814\) | −734.483 | − | 0.836815i | −0.902313 | − | 0.00102803i | ||||
\(815\) | 246.458 | − | 28.5892i | 0.302402 | − | 0.0350787i | ||||
\(816\) | −764.231 | + | 484.288i | −0.936558 | + | 0.593490i | ||||
\(817\) | 23.2314 | + | 3.67950i | 0.0284351 | + | 0.00450367i | ||||
\(818\) | 262.448 | − | 513.636i | 0.320841 | − | 0.627916i | ||||
\(819\) | 34.5535 | + | 173.768i | 0.0421898 | + | 0.212171i | ||||
\(820\) | −730.809 | + | 918.299i | −0.891231 | + | 1.11988i | ||||
\(821\) | −125.786 | + | 173.130i | −0.153211 | + | 0.210877i | −0.878722 | − | 0.477334i | \(-0.841603\pi\) |
0.725511 | + | 0.688210i | \(0.241603\pi\) | |||||||
\(822\) | −298.528 | − | 175.440i | −0.363172 | − | 0.213430i | ||||
\(823\) | 96.0032 | − | 48.9161i | 0.116650 | − | 0.0594363i | −0.394692 | − | 0.918814i | \(-0.629149\pi\) |
0.511342 | + | 0.859377i | \(0.329149\pi\) | |||||||
\(824\) | 906.416 | − | 1238.65i | 1.10002 | − | 1.50321i | ||||
\(825\) | 18.8078 | + | 1257.69i | 0.0227973 | + | 1.52448i | ||||
\(826\) | 189.127 | + | 584.337i | 0.228967 | + | 0.707429i | ||||
\(827\) | −531.346 | + | 270.734i | −0.642498 | + | 0.327369i | −0.744705 | − | 0.667394i | \(-0.767410\pi\) |
0.102207 | + | 0.994763i | \(0.467410\pi\) | |||||||
\(828\) | 98.8654 | + | 269.930i | 0.119403 | + | 0.326002i | ||||
\(829\) | 94.1734 | − | 129.619i | 0.113599 | − | 0.156355i | −0.748431 | − | 0.663212i | \(-0.769193\pi\) |
0.862030 | + | 0.506857i | \(0.169193\pi\) | |||||||
\(830\) | −499.444 | + | 1339.49i | −0.601739 | + | 1.61384i | ||||
\(831\) | 846.018 | + | 331.155i | 1.01807 | + | 0.398502i | ||||
\(832\) | −188.045 | + | 362.905i | −0.226016 | + | 0.436184i | ||||
\(833\) | 735.350 | + | 116.468i | 0.882773 | + | 0.139817i | ||||
\(834\) | 234.458 | − | 596.977i | 0.281125 | − | 0.715799i | ||||
\(835\) | 599.353 | + | 1308.09i | 0.717788 | + | 1.56657i | ||||
\(836\) | 75.5030 | − | 24.3423i | 0.0903146 | − | 0.0291176i | ||||
\(837\) | 92.0334 | + | 31.9239i | 0.109956 | + | 0.0381408i | ||||
\(838\) | 1035.58 | + | 165.230i | 1.23578 | + | 0.197171i | ||||
\(839\) | −746.797 | − | 242.649i | −0.890104 | − | 0.289212i | −0.171958 | − | 0.985104i | \(-0.555009\pi\) |
−0.718146 | + | 0.695892i | \(0.755009\pi\) | |||||||
\(840\) | −95.4588 | + | 357.359i | −0.113641 | + | 0.425427i | ||||
\(841\) | 116.208 | + | 357.650i | 0.138178 | + | 0.425268i | ||||
\(842\) | 442.268 | − | 69.5319i | 0.525259 | − | 0.0825794i | ||||
\(843\) | 154.613 | − | 704.584i | 0.183408 | − | 0.835806i | ||||
\(844\) | 297.718 | − | 909.226i | 0.352746 | − | 1.07728i | ||||
\(845\) | −223.283 | + | 600.927i | −0.264240 | + | 0.711156i | ||||
\(846\) | −329.694 | + | 355.803i | −0.389709 | + | 0.420571i | ||||
\(847\) | −487.936 | + | 77.2815i | −0.576076 | + | 0.0912414i | ||||
\(848\) | −114.797 | − | 746.814i | −0.135374 | − | 0.880676i | ||||
\(849\) | 717.995 | + | 1121.69i | 0.845695 | + | 1.32120i | ||||
\(850\) | 917.673 | − | 214.701i | 1.07962 | − | 0.252590i | ||||
\(851\) | 174.853 | 0.205468 | ||||||||
\(852\) | 967.093 | − | 92.9959i | 1.13509 | − | 0.109150i | ||||
\(853\) | −25.4379 | + | 4.02897i | −0.0298217 | + | 0.00472330i | −0.171328 | − | 0.985214i | \(-0.554806\pi\) |
0.141506 | + | 0.989937i | \(0.454806\pi\) | |||||||
\(854\) | 463.970 | + | 151.338i | 0.543290 | + | 0.177210i | ||||
\(855\) | −24.2719 | + | 47.3564i | −0.0283881 | + | 0.0553876i | ||||
\(856\) | −3.05160 | + | 892.806i | −0.00356495 | + | 1.04300i | ||||
\(857\) | 650.648 | − | 650.648i | 0.759216 | − | 0.759216i | −0.216964 | − | 0.976180i | \(-0.569615\pi\) |
0.976180 | + | 0.216964i | \(0.0696153\pi\) | |||||||
\(858\) | 480.881 | − | 426.316i | 0.560468 | − | 0.496872i | ||||
\(859\) | −295.281 | − | 908.782i | −0.343750 | − | 1.05795i | −0.962250 | − | 0.272169i | \(-0.912259\pi\) |
0.618500 | − | 0.785785i | \(-0.287741\pi\) | |||||||
\(860\) | 389.800 | + | 79.4036i | 0.453256 | + | 0.0923297i | ||||
\(861\) | 525.053 | − | 136.993i | 0.609817 | − | 0.159110i | ||||
\(862\) | −179.555 | + | 1125.37i | −0.208301 | + | 1.30553i | ||||
\(863\) | 858.585 | + | 437.471i | 0.994884 | + | 0.506919i | 0.874093 | − | 0.485759i | \(-0.161457\pi\) |
0.120792 | + | 0.992678i | \(0.461457\pi\) | |||||||
\(864\) | 156.809 | − | 849.651i | 0.181492 | − | 0.983392i | ||||
\(865\) | 366.317 | + | 206.268i | 0.423487 | + | 0.238460i | ||||
\(866\) | 726.609 | + | 1002.49i | 0.839041 | + | 1.15761i | ||||
\(867\) | −79.6889 | − | 182.199i | −0.0919134 | − | 0.210149i | ||||
\(868\) | −7.05891 | + | 43.9202i | −0.00813238 | + | 0.0505993i | ||||
\(869\) | −222.312 | + | 161.519i | −0.255825 | + | 0.185868i | ||||
\(870\) | 106.224 | − | 1041.19i | 0.122096 | − | 1.19676i | ||||
\(871\) | 79.7649 | − | 109.787i | 0.0915785 | − | 0.126047i | ||||
\(872\) | −1424.20 | − | 731.807i | −1.63325 | − | 0.839228i | ||||
\(873\) | −830.006 | + | 32.5601i | −0.950752 | + | 0.0372968i | ||||
\(874\) | −17.9678 | + | 5.81548i | −0.0205582 | + | 0.00665387i | ||||
\(875\) | 216.291 | − | 318.864i | 0.247190 | − | 0.364416i | ||||
\(876\) | 510.018 | + | 200.977i | 0.582213 | + | 0.229426i | ||||
\(877\) | 961.385 | − | 489.850i | 1.09622 | − | 0.558552i | 0.190182 | − | 0.981749i | \(-0.439092\pi\) |
0.906038 | + | 0.423197i | \(0.139092\pi\) | |||||||
\(878\) | 732.580 | + | 1441.83i | 0.834374 | + | 1.64217i | ||||
\(879\) | 91.2333 | − | 1546.23i | 0.103792 | − | 1.75908i | ||||
\(880\) | 1293.79 | − | 355.292i | 1.47022 | − | 0.403741i | ||||
\(881\) | 145.961 | + | 200.898i | 0.165677 | + | 0.228035i | 0.883781 | − | 0.467901i | \(-0.154990\pi\) |
−0.718104 | + | 0.695936i | \(0.754990\pi\) | |||||||
\(882\) | −558.871 | + | 439.492i | −0.633641 | + | 0.498290i | ||||
\(883\) | −826.194 | − | 130.856i | −0.935667 | − | 0.148195i | −0.330061 | − | 0.943960i | \(-0.607069\pi\) |
−0.605606 | + | 0.795764i | \(0.707069\pi\) | |||||||
\(884\) | −388.906 | − | 283.913i | −0.439939 | − | 0.321169i | ||||
\(885\) | 84.4614 | + | 1492.02i | 0.0954367 | + | 1.68589i | ||||
\(886\) | −1.04199 | + | 914.565i | −0.00117606 | + | 1.03224i | ||||
\(887\) | 73.4581 | − | 144.170i | 0.0828164 | − | 0.162536i | −0.845884 | − | 0.533366i | \(-0.820927\pi\) |
0.928701 | + | 0.370830i | \(0.120927\pi\) | |||||||
\(888\) | −452.477 | − | 267.302i | −0.509547 | − | 0.301016i | ||||
\(889\) | −65.1039 | − | 21.1535i | −0.0732327 | − | 0.0237948i | ||||
\(890\) | −562.551 | + | 996.393i | −0.632079 | + | 1.11954i | ||||
\(891\) | −709.936 | + | 1158.19i | −0.796785 | + | 1.29988i | ||||
\(892\) | 361.527 | + | 713.551i | 0.405299 | + | 0.799945i | ||||
\(893\) | −22.5337 | − | 22.5337i | −0.0252337 | − | 0.0252337i | ||||
\(894\) | 590.104 | + | 35.4931i | 0.660071 | + | 0.0397014i | ||||
\(895\) | −1224.52 | − | 50.9641i | −1.36818 | − | 0.0569431i | ||||
\(896\) | 394.535 | + | 3.14659i | 0.440329 | + | 0.00351182i | ||||
\(897\) | −114.364 | + | 101.620i | −0.127496 | + | 0.113289i | ||||
\(898\) | 249.081 | − | 248.514i | 0.277373 | − | 0.276742i | ||||
\(899\) | − | 125.866i | − | 0.140007i | ||||||
\(900\) | −445.238 | + | 782.153i | −0.494709 | + | 0.869059i | ||||
\(901\) | 890.131 | 0.987936 | ||||||||
\(902\) | −1390.19 | − | 1393.36i | −1.54123 | − | 1.54475i | ||||
\(903\) | −122.171 | − | 137.493i | −0.135295 | − | 0.152262i | ||||
\(904\) | 1099.91 | − | 353.231i | 1.21672 | − | 0.390742i | ||||
\(905\) | 924.323 | + | 343.445i | 1.02135 | + | 0.379497i | ||||
\(906\) | 66.2277 | − | 1101.09i | 0.0730990 | − | 1.21533i | ||||
\(907\) | −265.336 | + | 265.336i | −0.292542 | + | 0.292542i | −0.838084 | − | 0.545542i | \(-0.816324\pi\) |
0.545542 | + | 0.838084i | \(0.316324\pi\) | |||||||
\(908\) | −283.983 | − | 560.501i | −0.312756 | − | 0.617292i | ||||
\(909\) | −653.950 | − | 77.4408i | −0.719417 | − | 0.0851934i | ||||
\(910\) | −195.570 | + | 22.4604i | −0.214912 | + | 0.0246817i | ||||
\(911\) | 384.973 | − | 1184.82i | 0.422583 | − | 1.30058i | −0.482708 | − | 0.875782i | \(-0.660347\pi\) |
0.905290 | − | 0.424794i | \(-0.139653\pi\) | |||||||
\(912\) | 55.3867 | + | 12.4188i | 0.0607310 | + | 0.0136171i | ||||
\(913\) | −2136.23 | − | 1088.47i | −2.33980 | − | 1.19219i | ||||
\(914\) | −1466.22 | − | 1.67050i | −1.60418 | − | 0.00182768i | ||||
\(915\) | 998.581 | + | 642.556i | 1.09135 | + | 0.702247i | ||||
\(916\) | −1275.56 | − | 931.199i | −1.39254 | − | 1.01659i | ||||
\(917\) | 50.4392 | − | 318.461i | 0.0550046 | − | 0.347286i | ||||
\(918\) | 961.260 | + | 334.662i | 1.04712 | + | 0.364556i | ||||
\(919\) | 312.229 | − | 226.847i | 0.339748 | − | 0.246842i | −0.404807 | − | 0.914402i | \(-0.632661\pi\) |
0.744556 | + | 0.667560i | \(0.232661\pi\) | |||||||
\(920\) | −307.907 | + | 84.9327i | −0.334682 | + | 0.0923182i | ||||
\(921\) | −503.745 | − | 29.7229i | −0.546954 | − | 0.0322724i | ||||
\(922\) | 1115.57 | − | 566.810i | 1.20994 | − | 0.614762i | ||||
\(923\) | 234.742 | + | 460.707i | 0.254325 | + | 0.499140i | ||||
\(924\) | −577.150 | − | 227.431i | −0.624622 | − | 0.246137i | ||||
\(925\) | 353.588 | + | 417.919i | 0.382258 | + | 0.451805i | ||||
\(926\) | 20.9521 | + | 64.7349i | 0.0226265 | + | 0.0699081i | ||||
\(927\) | −1725.41 | + | 67.6855i | −1.86128 | + | 0.0730157i | ||||
\(928\) | −1103.60 | + | 168.354i | −1.18922 | + | 0.181415i | ||||
\(929\) | −768.374 | − | 558.257i | −0.827098 | − | 0.600922i | 0.0916387 | − | 0.995792i | \(-0.470790\pi\) |
−0.918737 | + | 0.394870i | \(0.870790\pi\) | |||||||
\(930\) | −43.7221 | + | 99.0129i | −0.0470130 | + | 0.106465i | ||||
\(931\) | −27.4548 | − | 37.7882i | −0.0294895 | − | 0.0405889i | ||||
\(932\) | 96.0077 | − | 597.356i | 0.103013 | − | 0.640940i | ||||
\(933\) | −211.075 | + | 92.3186i | −0.226233 | + | 0.0989481i | ||||
\(934\) | 926.546 | − | 671.563i | 0.992019 | − | 0.719019i | ||||
\(935\) | 182.129 | + | 1570.07i | 0.194790 | + | 1.67922i | ||||
\(936\) | 451.297 | − | 88.1373i | 0.482154 | − | 0.0941638i | ||||
\(937\) | 522.672 | − | 1025.80i | 0.557814 | − | 1.09477i | −0.424130 | − | 0.905601i | \(-0.639420\pi\) |
0.981944 | − | 0.189171i | \(-0.0605799\pi\) | |||||||
\(938\) | −129.359 | − | 20.6395i | −0.137909 | − | 0.0220038i | ||||
\(939\) | 105.596 | + | 404.717i | 0.112456 | + | 0.431009i | ||||
\(940\) | −364.026 | − | 397.456i | −0.387261 | − | 0.422826i | ||||
\(941\) | 1219.66 | − | 396.290i | 1.29613 | − | 0.421137i | 0.421894 | − | 0.906645i | \(-0.361365\pi\) |
0.874232 | + | 0.485508i | \(0.161365\pi\) | |||||||
\(942\) | 895.546 | + | 1010.17i | 0.950685 | + | 1.07237i | ||||
\(943\) | 331.331 | + | 331.331i | 0.351358 | + | 0.351358i | ||||
\(944\) | 1518.24 | − | 485.669i | 1.60831 | − | 0.514480i | ||||
\(945\) | 381.650 | − | 165.839i | 0.403863 | − | 0.175491i | ||||
\(946\) | −206.888 | + | 634.276i | −0.218698 | + | 0.670482i | ||||
\(947\) | −56.4117 | − | 356.170i | −0.0595689 | − | 0.376103i | −0.999405 | − | 0.0344787i | \(-0.989023\pi\) |
0.939837 | − | 0.341624i | \(-0.110977\pi\) | |||||||
\(948\) | −195.716 | + | 18.8201i | −0.206451 | + | 0.0198524i | ||||
\(949\) | 291.747i | 0.307426i | ||||||||
\(950\) | −50.2343 | − | 31.1851i | −0.0528782 | − | 0.0328265i | ||||
\(951\) | −578.101 | + | 370.042i | −0.607888 | + | 0.389108i | ||||
\(952\) | −74.2801 | + | 458.830i | −0.0780253 | + | 0.481965i | ||||
\(953\) | −186.945 | − | 1180.33i | −0.196165 | − | 1.23854i | −0.867521 | − | 0.497401i | \(-0.834288\pi\) |
0.671356 | − | 0.741135i | \(-0.265712\pi\) | |||||||
\(954\) | −577.752 | + | 623.505i | −0.605610 | + | 0.653570i | ||||
\(955\) | −756.150 | + | 954.597i | −0.791780 | + | 0.999578i | ||||
\(956\) | −25.2794 | + | 77.2031i | −0.0264429 | + | 0.0807564i | ||||
\(957\) | 1714.45 | + | 376.218i | 1.79149 | + | 0.393123i | ||||
\(958\) | −63.6146 | − | 404.630i | −0.0664035 | − | 0.422369i | ||||
\(959\) | −169.181 | + | 54.9701i | −0.176414 | + | 0.0573202i | ||||
\(960\) | 926.628 | + | 250.920i | 0.965237 | + | 0.261375i | ||||
\(961\) | 292.943 | − | 901.586i | 0.304831 | − | 0.938174i | ||||
\(962\) | 44.0679 | − | 276.197i | 0.0458087 | − | 0.287107i | ||||
\(963\) | 788.820 | − | 621.777i | 0.819128 | − | 0.645667i | ||||
\(964\) | −679.603 | + | 219.106i | −0.704982 | + | 0.227288i | ||||
\(965\) | 309.601 | + | 62.3323i | 0.320830 | + | 0.0645931i | ||||
\(966\) | 137.460 | + | 53.9862i | 0.142298 | + | 0.0558863i | ||||
\(967\) | 124.218 | − | 784.280i | 0.128457 | − | 0.811045i | −0.836371 | − | 0.548163i | \(-0.815327\pi\) |
0.964828 | − | 0.262881i | \(-0.0846728\pi\) | |||||||
\(968\) | 196.245 | + | 1267.06i | 0.202732 | + | 1.30894i | ||||
\(969\) | −24.3738 | + | 62.2690i | −0.0251536 | + | 0.0642611i | ||||
\(970\) | 39.4296 | − | 922.096i | 0.0406491 | − | 0.950614i | ||||
\(971\) | −1331.26 | − | 967.215i | −1.37102 | − | 0.996102i | −0.997657 | − | 0.0684151i | \(-0.978206\pi\) |
−0.373360 | − | 0.927687i | \(-0.621794\pi\) | |||||||
\(972\) | −858.339 | + | 456.112i | −0.883065 | + | 0.469251i | ||||
\(973\) | −149.586 | − | 293.580i | −0.153737 | − | 0.301726i | ||||
\(974\) | −1191.68 | + | 385.699i | −1.22349 | + | 0.395995i | ||||
\(975\) | −474.152 | − | 67.8471i | −0.486310 | − | 0.0695867i | ||||
\(976\) | 396.891 | − | 1202.83i | 0.406651 | − | 1.23240i | ||||
\(977\) | 364.032 | + | 714.452i | 0.372601 | + | 0.731271i | 0.998830 | − | 0.0483684i | \(-0.0154021\pi\) |
−0.626228 | + | 0.779640i | \(0.715402\pi\) | |||||||
\(978\) | −150.851 | + | 256.688i | −0.154245 | + | 0.262462i | ||||
\(979\) | −1552.50 | − | 1127.96i | −1.58581 | − | 1.15216i | ||||
\(980\) | −435.858 | − | 658.855i | −0.444753 | − | 0.672301i | ||||
\(981\) | 351.320 | + | 1766.77i | 0.358125 | + | 1.80099i | ||||
\(982\) | 464.789 | + | 237.489i | 0.473308 | + | 0.241842i | ||||
\(983\) | −130.425 | + | 823.471i | −0.132681 | + | 0.837712i | 0.828136 | + | 0.560527i | \(0.189401\pi\) |
−0.960817 | + | 0.277185i | \(0.910599\pi\) | |||||||
\(984\) | −350.890 | − | 1363.92i | −0.356595 | − | 1.38609i | ||||
\(985\) | 508.074 | + | 552.202i | 0.515811 | + | 0.560611i | ||||
\(986\) | 1.49838 | − | 1315.15i | 0.00151966 | − | 1.33382i | ||||
\(987\) | 24.4180 | + | 247.998i | 0.0247396 | + | 0.251265i | ||||
\(988\) | 4.65769 | + | 29.8475i | 0.00471426 | + | 0.0302101i | ||||
\(989\) | 49.0802 | − | 151.053i | 0.0496261 | − | 0.152733i | ||||
\(990\) | −1217.99 | − | 891.504i | −1.23030 | − | 0.900509i | ||||
\(991\) | 699.711 | − | 227.350i | 0.706066 | − | 0.229415i | 0.0660945 | − | 0.997813i | \(-0.478946\pi\) |
0.639972 | + | 0.768399i | \(0.278946\pi\) | |||||||
\(992\) | 113.926 | + | 18.7100i | 0.114845 | + | 0.0188609i | ||||
\(993\) | −62.5625 | + | 285.102i | −0.0630035 | + | 0.287112i | ||||
\(994\) | 293.836 | − | 403.462i | 0.295609 | − | 0.405898i | ||||
\(995\) | −183.785 | − | 276.443i | −0.184708 | − | 0.277832i | ||||
\(996\) | −921.546 | − | 1446.94i | −0.925247 | − | 1.45276i | ||||
\(997\) | −141.592 | − | 893.979i | −0.142018 | − | 0.896669i | −0.951080 | − | 0.308945i | \(-0.900024\pi\) |
0.809061 | − | 0.587724i | \(-0.199976\pi\) | |||||||
\(998\) | −794.585 | + | 792.776i | −0.796177 | + | 0.794365i | ||||
\(999\) | 80.9514 | + | 585.658i | 0.0810325 | + | 0.586244i |
(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 | 300.3.u.a.47.88 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.47.29 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.47.7 | ✓ | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.47.110 | yes | 928 | |
25.8 | odd | 20 | inner | 300.3.u.a.83.110 | yes | 928 | |
75.8 | even | 20 | inner | 300.3.u.a.83.7 | yes | 928 | |
100.83 | even | 20 | inner | 300.3.u.a.83.29 | yes | 928 | |
300.83 | odd | 20 | inner | 300.3.u.a.83.88 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.47.7 | ✓ | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.47.29 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.47.88 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.47.110 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.83.7 | yes | 928 | 75.8 | even | 20 | inner | |
300.3.u.a.83.29 | yes | 928 | 100.83 | even | 20 | inner | |
300.3.u.a.83.88 | yes | 928 | 300.83 | odd | 20 | inner | |
300.3.u.a.83.110 | yes | 928 | 25.8 | odd | 20 | inner |