Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(64,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.u (of order \(7\), degree \(6\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{7})\) |
Twist minimal: | no (minimal twist has level 147) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 253.1 | ||
Character | \(\chi\) | \(=\) | 441.253 |
Dual form | 441.2.u.c.190.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{6}{7}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18466 | − | 1.48552i | −0.837684 | − | 1.05042i | −0.997991 | − | 0.0633551i | \(-0.979820\pi\) |
0.160307 | − | 0.987067i | \(-0.448751\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.358304 | + | 1.56983i | −0.179152 | + | 0.784915i | ||||
\(5\) | 0.295313 | − | 0.142215i | 0.132068 | − | 0.0636005i | −0.366683 | − | 0.930346i | \(-0.619507\pi\) |
0.498751 | + | 0.866745i | \(0.333792\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.01260 | + | 1.71740i | −0.760690 | + | 0.649115i | ||||
\(8\) | −0.667291 | + | 0.321350i | −0.235923 | + | 0.113614i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.561110 | − | 0.270216i | −0.177438 | − | 0.0854499i | ||||
\(11\) | 0.320589 | + | 0.402005i | 0.0966611 | + | 0.121209i | 0.827810 | − | 0.561009i | \(-0.189587\pi\) |
−0.731148 | + | 0.682218i | \(0.761015\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.333248 | − | 0.417880i | −0.0924264 | − | 0.115899i | 0.733468 | − | 0.679724i | \(-0.237901\pi\) |
−0.825894 | + | 0.563825i | \(0.809329\pi\) | |||||||
\(14\) | 4.93548 | + | 0.955219i | 1.31906 | + | 0.255293i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.16937 | + | 2.00786i | 1.04234 | + | 0.501966i | ||||
\(17\) | 1.75860 | + | 7.70492i | 0.426522 | + | 1.86872i | 0.491576 | + | 0.870835i | \(0.336421\pi\) |
−0.0650535 | + | 0.997882i | \(0.520722\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.08389 | −1.16632 | −0.583162 | − | 0.812356i | \(-0.698185\pi\) | ||||
−0.583162 | + | 0.812356i | \(0.698185\pi\) | |||||||
\(20\) | 0.117442 | + | 0.514547i | 0.0262608 | + | 0.115056i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.217398 | − | 0.952482i | 0.0463494 | − | 0.203070i | ||||
\(23\) | 0.0438964 | − | 0.192322i | 0.00915302 | − | 0.0401020i | −0.970145 | − | 0.242525i | \(-0.922024\pi\) |
0.979298 | + | 0.202423i | \(0.0648815\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.05046 | + | 3.82516i | −0.610093 | + | 0.765032i | ||||
\(26\) | −0.225983 | + | 0.990094i | −0.0443188 | + | 0.194173i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.97490 | − | 3.77479i | −0.373221 | − | 0.713368i | ||||
\(29\) | 0.477947 | + | 2.09402i | 0.0887525 | + | 0.388850i | 0.999721 | − | 0.0236262i | \(-0.00752115\pi\) |
−0.910968 | + | 0.412476i | \(0.864664\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.48475 | 0.446274 | 0.223137 | − | 0.974787i | \(-0.428370\pi\) | ||||
0.223137 | + | 0.974787i | \(0.428370\pi\) | |||||||
\(32\) | −1.62696 | − | 7.12820i | −0.287609 | − | 1.26010i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 9.36247 | − | 11.7402i | 1.60565 | − | 2.01342i | ||||
\(35\) | −0.350106 | + | 0.793391i | −0.0591787 | + | 0.134107i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.18663 | + | 5.19896i | 0.195081 | + | 0.854704i | 0.973813 | + | 0.227348i | \(0.0730056\pi\) |
−0.778733 | + | 0.627356i | \(0.784137\pi\) | |||||||
\(38\) | 6.02270 | + | 7.55223i | 0.977011 | + | 1.22513i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.151359 | + | 0.189798i | −0.0239319 | + | 0.0300096i | ||||
\(41\) | 1.92273 | − | 0.925936i | 0.300279 | − | 0.144607i | −0.277677 | − | 0.960674i | \(-0.589565\pi\) |
0.577957 | + | 0.816067i | \(0.303850\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 9.46803 | + | 4.55956i | 1.44386 | + | 0.695327i | 0.981517 | − | 0.191374i | \(-0.0612945\pi\) |
0.462343 | + | 0.886701i | \(0.347009\pi\) | |||||||
\(44\) | −0.745949 | + | 0.359230i | −0.112456 | + | 0.0541559i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.337702 | + | 0.162629i | −0.0497914 | + | 0.0239783i | ||||
\(47\) | −5.00777 | − | 6.27955i | −0.730459 | − | 0.915966i | 0.268420 | − | 0.963302i | \(-0.413498\pi\) |
−0.998879 | + | 0.0473355i | \(0.984927\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.10110 | − | 6.91286i | 0.157299 | − | 0.987551i | ||||
\(50\) | 9.29613 | 1.31467 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.775405 | − | 0.373415i | 0.107529 | − | 0.0517834i | ||||
\(53\) | −1.18664 | + | 5.19903i | −0.162998 | + | 0.714141i | 0.825686 | + | 0.564130i | \(0.190788\pi\) |
−0.988684 | + | 0.150011i | \(0.952069\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.151845 | + | 0.0731247i | 0.0204748 | + | 0.00986014i | ||||
\(56\) | 0.791102 | − | 1.79275i | 0.105715 | − | 0.239567i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.54451 | − | 3.19071i | 0.334110 | − | 0.418961i | ||||
\(59\) | 0.263805 | + | 0.127042i | 0.0343444 | + | 0.0165394i | 0.450977 | − | 0.892535i | \(-0.351076\pi\) |
−0.416633 | + | 0.909075i | \(0.636790\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.889807 | + | 3.89850i | 0.113928 | + | 0.499151i | 0.999406 | + | 0.0344695i | \(0.0109742\pi\) |
−0.885478 | + | 0.464682i | \(0.846169\pi\) | |||||||
\(62\) | −2.94359 | − | 3.69115i | −0.373836 | − | 0.468776i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.89110 | + | 3.62532i | −0.361387 | + | 0.453165i | ||||
\(65\) | −0.157841 | − | 0.0760123i | −0.0195778 | − | 0.00942816i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.4502 | −1.27670 | −0.638350 | − | 0.769746i | \(-0.720383\pi\) | ||||
−0.638350 | + | 0.769746i | \(0.720383\pi\) | |||||||
\(68\) | −12.7255 | −1.54320 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.59336 | − | 0.419812i | 0.190443 | − | 0.0501771i | ||||
\(71\) | 2.09042 | − | 9.15871i | 0.248087 | − | 1.08694i | −0.685355 | − | 0.728209i | \(-0.740353\pi\) |
0.933441 | − | 0.358730i | \(-0.116790\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.25159 | + | 7.83924i | −0.731693 | + | 0.917514i | −0.998936 | − | 0.0461151i | \(-0.985316\pi\) |
0.267243 | + | 0.963629i | \(0.413887\pi\) | |||||||
\(74\) | 6.31741 | − | 7.92178i | 0.734384 | − | 0.920889i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.82158 | − | 7.98085i | 0.208949 | − | 0.915466i | ||||
\(77\) | −1.33562 | − | 0.258497i | −0.152208 | − | 0.0294585i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.83303 | 0.431249 | 0.215625 | − | 0.976476i | \(-0.430821\pi\) | ||||
0.215625 | + | 0.976476i | \(0.430821\pi\) | |||||||
\(80\) | 1.51682 | 0.169585 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.65328 | − | 1.75933i | −0.403438 | − | 0.194285i | ||||
\(83\) | 5.28762 | − | 6.63047i | 0.580392 | − | 0.727789i | −0.401788 | − | 0.915733i | \(-0.631611\pi\) |
0.982180 | + | 0.187944i | \(0.0601824\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.61509 | + | 2.02526i | 0.175181 | + | 0.219670i | ||||
\(86\) | −4.44310 | − | 19.4665i | −0.479112 | − | 2.09913i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.343110 | − | 0.165233i | −0.0365757 | − | 0.0176139i | ||||
\(89\) | −8.30354 | + | 10.4123i | −0.880173 | + | 1.10370i | 0.113737 | + | 0.993511i | \(0.463718\pi\) |
−0.993910 | + | 0.110191i | \(0.964854\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.38836 | + | 0.268705i | 0.145540 | + | 0.0281679i | ||||
\(92\) | 0.286186 | + | 0.137820i | 0.0298369 | + | 0.0143687i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.39588 | + | 14.8783i | −0.350258 | + | 1.53458i | ||||
\(95\) | −1.50134 | + | 0.723006i | −0.154034 | + | 0.0741788i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.62539 | −0.977310 | −0.488655 | − | 0.872477i | \(-0.662512\pi\) | ||||
−0.488655 | + | 0.872477i | \(0.662512\pi\) | |||||||
\(98\) | −11.5736 | + | 6.55371i | −1.16911 | + | 0.662025i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.91186 | − | 6.15928i | −0.491186 | − | 0.615928i | ||||
\(101\) | −15.8484 | + | 7.63217i | −1.57697 | + | 0.759430i | −0.998419 | − | 0.0562147i | \(-0.982097\pi\) |
−0.578553 | + | 0.815644i | \(0.696383\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.531663 | − | 0.256036i | 0.0523863 | − | 0.0252279i | −0.407507 | − | 0.913202i | \(-0.633602\pi\) |
0.459894 | + | 0.887974i | \(0.347888\pi\) | |||||||
\(104\) | 0.356659 | + | 0.171758i | 0.0349733 | + | 0.0168423i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 9.12904 | − | 4.39631i | 0.886690 | − | 0.427008i | ||||
\(107\) | −12.5074 | + | 15.6837i | −1.20913 | + | 1.51620i | −0.413409 | + | 0.910545i | \(0.635662\pi\) |
−0.795724 | + | 0.605660i | \(0.792909\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.37438 | − | 7.99322i | −0.610555 | − | 0.765611i | 0.376427 | − | 0.926446i | \(-0.377153\pi\) |
−0.986981 | + | 0.160835i | \(0.948581\pi\) | |||||||
\(110\) | −0.0712570 | − | 0.312197i | −0.00679409 | − | 0.0297668i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −11.8396 | + | 3.11944i | −1.11873 | + | 0.294760i | ||||
\(113\) | 5.97655 | − | 7.49436i | 0.562226 | − | 0.705010i | −0.416741 | − | 0.909025i | \(-0.636828\pi\) |
0.978968 | + | 0.204016i | \(0.0653993\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.0143880 | − | 0.0630380i | −0.00134169 | − | 0.00587832i | ||||
\(116\) | −3.45851 | −0.321115 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.123797 | − | 0.542389i | −0.0113964 | − | 0.0499310i | ||||
\(119\) | −16.7717 | − | 12.4867i | −1.53746 | − | 1.14465i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.38890 | − | 10.4665i | 0.217173 | − | 0.951495i | ||||
\(122\) | 4.73718 | − | 5.94024i | 0.428884 | − | 0.537804i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.890294 | + | 3.90063i | −0.0799508 | + | 0.350287i | ||||
\(125\) | −0.721526 | + | 3.16121i | −0.0645353 | + | 0.282747i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.55336 | + | 11.1870i | 0.226574 | + | 0.992686i | 0.952410 | + | 0.304819i | \(0.0985959\pi\) |
−0.725836 | + | 0.687868i | \(0.758547\pi\) | |||||||
\(128\) | −5.81256 | −0.513763 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0740708 | + | 0.324525i | 0.00649644 | + | 0.0284628i | ||||
\(131\) | 3.18909 | + | 1.53578i | 0.278632 | + | 0.134182i | 0.567981 | − | 0.823041i | \(-0.307725\pi\) |
−0.289349 | + | 0.957224i | \(0.593439\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.2318 | − | 8.73106i | 0.887211 | − | 0.757079i | ||||
\(134\) | 12.3800 | + | 15.5241i | 1.06947 | + | 1.34107i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.64947 | − | 4.57629i | −0.312940 | − | 0.392414i | ||||
\(137\) | 8.70890 | + | 4.19399i | 0.744052 | + | 0.358316i | 0.767193 | − | 0.641416i | \(-0.221653\pi\) |
−0.0231417 | + | 0.999732i | \(0.507367\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −17.7360 | + | 8.54120i | −1.50435 | + | 0.724455i | −0.991017 | − | 0.133736i | \(-0.957302\pi\) |
−0.513330 | + | 0.858191i | \(0.671588\pi\) | |||||||
\(140\) | −1.12005 | − | 0.833882i | −0.0946611 | − | 0.0704759i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −16.0819 | + | 7.74464i | −1.34956 | + | 0.649915i | ||||
\(143\) | 0.0611544 | − | 0.267935i | 0.00511399 | − | 0.0224058i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.438945 | + | 0.550420i | 0.0364524 | + | 0.0457099i | ||||
\(146\) | 19.0514 | 1.57670 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −8.58666 | −0.705819 | ||||||||
\(149\) | 11.7308 | + | 14.7100i | 0.961027 | + | 1.20509i | 0.978710 | + | 0.205246i | \(0.0657995\pi\) |
−0.0176835 | + | 0.999844i | \(0.505629\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.15178 | − | 22.5714i | 0.419246 | − | 1.83684i | −0.117473 | − | 0.993076i | \(-0.537479\pi\) |
0.536719 | − | 0.843761i | \(-0.319663\pi\) | |||||||
\(152\) | 3.39243 | − | 1.63371i | 0.275163 | − | 0.132511i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.19826 | + | 2.29032i | 0.0965582 | + | 0.184559i | ||||
\(155\) | 0.733777 | − | 0.353368i | 0.0589384 | − | 0.0283832i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.88772 | + | 4.76168i | 0.789126 | + | 0.380023i | 0.784628 | − | 0.619967i | \(-0.212854\pi\) |
0.00449801 | + | 0.999990i | \(0.498568\pi\) | |||||||
\(158\) | −4.54085 | − | 5.69405i | −0.361251 | − | 0.452994i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.49420 | − | 1.87367i | −0.118127 | − | 0.148126i | ||||
\(161\) | 0.241948 | + | 0.462455i | 0.0190682 | + | 0.0364466i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.5307 | + | 5.07133i | 0.824830 | + | 0.397217i | 0.798174 | − | 0.602428i | \(-0.205800\pi\) |
0.0266563 | + | 0.999645i | \(0.491514\pi\) | |||||||
\(164\) | 0.764643 | + | 3.35012i | 0.0597086 | + | 0.261601i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −16.1138 | −1.25067 | ||||||||
\(167\) | −2.28991 | − | 10.0328i | −0.177199 | − | 0.776358i | −0.982916 | − | 0.184057i | \(-0.941077\pi\) |
0.805717 | − | 0.592301i | \(-0.201780\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.82920 | − | 12.3955i | 0.217631 | − | 0.953504i | ||||
\(170\) | 1.09523 | − | 4.79850i | 0.0840001 | − | 0.368028i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −10.5502 | + | 13.2295i | −0.804443 | + | 1.00874i | ||||
\(173\) | −2.56254 | + | 11.2272i | −0.194826 | + | 0.853589i | 0.779132 | + | 0.626860i | \(0.215660\pi\) |
−0.973958 | + | 0.226729i | \(0.927197\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.429964 | − | 12.9374i | −0.0325022 | − | 0.977973i | ||||
\(176\) | 0.529481 | + | 2.31981i | 0.0399111 | + | 0.174862i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 25.3046 | 1.89666 | ||||||||
\(179\) | −4.43478 | − | 19.4300i | −0.331471 | − | 1.45227i | −0.816284 | − | 0.577651i | \(-0.803970\pi\) |
0.484813 | − | 0.874618i | \(-0.338888\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.18299 | − | 11.5151i | 0.682566 | − | 0.855911i | −0.313022 | − | 0.949746i | \(-0.601341\pi\) |
0.995588 | + | 0.0938352i | \(0.0299127\pi\) | |||||||
\(182\) | −1.24557 | − | 2.38076i | −0.0923280 | − | 0.176474i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.0325113 | + | 0.142441i | 0.00239676 | + | 0.0105009i | ||||
\(185\) | 1.08980 | + | 1.36656i | 0.0801235 | + | 0.100472i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.53363 | + | 3.17707i | −0.185277 | + | 0.232331i | ||||
\(188\) | 11.6521 | − | 5.61137i | 0.849819 | − | 0.409251i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.85262 | + | 1.37375i | 0.206951 | + | 0.0996622i | ||||
\(191\) | 9.92319 | − | 4.77876i | 0.718017 | − | 0.345779i | −0.0389417 | − | 0.999241i | \(-0.512399\pi\) |
0.756959 | + | 0.653463i | \(0.226684\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.4067 | − | 5.01160i | 0.749090 | − | 0.360743i | −0.0200702 | − | 0.999799i | \(-0.506389\pi\) |
0.769160 | + | 0.639056i | \(0.220675\pi\) | |||||||
\(194\) | 11.4029 | + | 14.2987i | 0.818677 | + | 1.02659i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.4575 | + | 4.20544i | 0.746964 | + | 0.300388i | ||||
\(197\) | −0.252349 | −0.0179791 | −0.00898956 | − | 0.999960i | \(-0.502862\pi\) | ||||
−0.00898956 | + | 0.999960i | \(0.502862\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −15.8123 | + | 7.61481i | −1.12090 | + | 0.539799i | −0.900172 | − | 0.435535i | \(-0.856559\pi\) |
−0.220733 | + | 0.975334i | \(0.570845\pi\) | |||||||
\(200\) | 0.806330 | − | 3.53276i | 0.0570161 | − | 0.249804i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 30.1128 | + | 14.5015i | 2.11873 | + | 1.02032i | ||||
\(203\) | −4.55818 | − | 3.39360i | −0.319921 | − | 0.238184i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.436123 | − | 0.546881i | 0.0304602 | − | 0.0381958i | ||||
\(206\) | −1.01019 | − | 0.486481i | −0.0703832 | − | 0.0338947i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.550389 | − | 2.41141i | −0.0381626 | − | 0.167201i | ||||
\(209\) | −1.62984 | − | 2.04375i | −0.112738 | − | 0.141369i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.1869 | − | 12.7740i | 0.701295 | − | 0.879396i | −0.295825 | − | 0.955242i | \(-0.595594\pi\) |
0.997120 | + | 0.0758464i | \(0.0241659\pi\) | |||||||
\(212\) | −7.73641 | − | 3.72566i | −0.531339 | − | 0.255879i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 38.1156 | 2.60553 | ||||||||
\(215\) | 3.44447 | 0.234911 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.00080 | + | 4.26730i | −0.339476 | + | 0.289683i | ||||
\(218\) | −4.32260 | + | 18.9385i | −0.292763 | + | 1.28268i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.169200 | + | 0.212170i | −0.0114075 | + | 0.0143045i | ||||
\(221\) | 2.63368 | − | 3.30253i | 0.177160 | − | 0.222152i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.90788 | + | 21.5028i | −0.328656 | + | 1.43994i | 0.493038 | + | 0.870008i | \(0.335886\pi\) |
−0.821694 | + | 0.569928i | \(0.806971\pi\) | |||||||
\(224\) | 15.5164 | + | 11.5521i | 1.03673 | + | 0.771854i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −18.2132 | −1.21153 | ||||||||
\(227\) | −4.74850 | −0.315169 | −0.157585 | − | 0.987505i | \(-0.550371\pi\) | ||||
−0.157585 | + | 0.987505i | \(0.550371\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 21.3927 | + | 10.3022i | 1.41367 | + | 0.680786i | 0.975883 | − | 0.218293i | \(-0.0700490\pi\) |
0.437785 | + | 0.899080i | \(0.355763\pi\) | |||||||
\(230\) | −0.0765993 | + | 0.0960525i | −0.00505081 | + | 0.00633351i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.991844 | − | 1.24373i | −0.0651177 | − | 0.0816550i | ||||
\(233\) | −1.13282 | − | 4.96319i | −0.0742132 | − | 0.325149i | 0.924171 | − | 0.381980i | \(-0.124758\pi\) |
−0.998384 | + | 0.0568307i | \(0.981900\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.37191 | − | 1.14225i | −0.154726 | − | 0.0745121i | ||||
\(236\) | −0.293956 | + | 0.368609i | −0.0191349 | + | 0.0239944i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.31964 | + | 39.7073i | 0.0855397 | + | 2.57384i | ||||
\(239\) | 13.3073 | + | 6.40844i | 0.860775 | + | 0.414527i | 0.811566 | − | 0.584261i | \(-0.198616\pi\) |
0.0492093 | + | 0.998788i | \(0.484330\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.526528 | − | 2.30687i | 0.0339166 | − | 0.148598i | −0.955134 | − | 0.296173i | \(-0.904290\pi\) |
0.989051 | + | 0.147575i | \(0.0471466\pi\) | |||||||
\(242\) | −18.3782 | + | 8.85046i | −1.18139 | + | 0.568929i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.43880 | −0.412202 | ||||||||
\(245\) | −0.657945 | − | 2.19805i | −0.0420346 | − | 0.140428i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.69420 | + | 2.12445i | 0.107799 | + | 0.135176i | ||||
\(248\) | −1.65805 | + | 0.798474i | −0.105286 | + | 0.0507032i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 5.55081 | − | 2.67313i | 0.351064 | − | 0.169064i | ||||
\(251\) | −8.31054 | − | 4.00214i | −0.524556 | − | 0.252613i | 0.152814 | − | 0.988255i | \(-0.451166\pi\) |
−0.677371 | + | 0.735642i | \(0.736881\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0913873 | − | 0.0440098i | 0.00574547 | − | 0.00276687i | ||||
\(254\) | 13.5937 | − | 17.0459i | 0.852942 | − | 1.06956i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.6681 | + | 15.8853i | 0.791758 | + | 0.992833i | ||||
\(257\) | 1.05484 | + | 4.62156i | 0.0657992 | + | 0.288285i | 0.997113 | − | 0.0759328i | \(-0.0241935\pi\) |
−0.931314 | + | 0.364218i | \(0.881336\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −11.3169 | − | 8.42550i | −0.703197 | − | 0.523535i | ||||
\(260\) | 0.175882 | − | 0.220548i | 0.0109077 | − | 0.0136778i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.49656 | − | 6.55685i | −0.0924577 | − | 0.405084i | ||||
\(263\) | 9.30500 | 0.573771 | 0.286886 | − | 0.957965i | \(-0.407380\pi\) | ||||
0.286886 | + | 0.957965i | \(0.407380\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.388949 | + | 1.70410i | 0.0238929 | + | 0.104682i | ||||
\(266\) | −25.0914 | − | 4.85623i | −1.53845 | − | 0.297754i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.74436 | − | 16.4051i | 0.228723 | − | 1.00210i | ||||
\(269\) | 17.5997 | − | 22.0694i | 1.07307 | − | 1.34559i | 0.138285 | − | 0.990393i | \(-0.455841\pi\) |
0.934790 | − | 0.355201i | \(-0.115587\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.83323 | − | 12.4132i | 0.172107 | − | 0.754048i | −0.813023 | − | 0.582232i | \(-0.802179\pi\) |
0.985129 | − | 0.171816i | \(-0.0549634\pi\) | |||||||
\(272\) | −8.13818 | + | 35.6557i | −0.493449 | + | 2.16194i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.08686 | − | 17.9057i | −0.246897 | − | 1.08172i | ||||
\(275\) | −2.51568 | −0.151701 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.42279 | + | 10.6149i | 0.145571 | + | 0.637789i | 0.994084 | + | 0.108614i | \(0.0346412\pi\) |
−0.848513 | + | 0.529175i | \(0.822502\pi\) | |||||||
\(278\) | 33.6993 | + | 16.2287i | 2.02115 | + | 0.973335i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.0213340 | − | 0.641929i | −0.00127495 | − | 0.0383626i | ||||
\(281\) | 15.1508 | + | 18.9985i | 0.903819 | + | 1.13335i | 0.990554 | + | 0.137122i | \(0.0437851\pi\) |
−0.0867354 | + | 0.996231i | \(0.527643\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.25543 | − | 5.33615i | −0.252959 | − | 0.317201i | 0.639096 | − | 0.769127i | \(-0.279309\pi\) |
−0.892055 | + | 0.451926i | \(0.850737\pi\) | |||||||
\(284\) | 13.6286 | + | 6.56320i | 0.808710 | + | 0.389454i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.470471 | + | 0.226567i | −0.0278195 | + | 0.0133972i | ||||
\(287\) | −2.27947 | + | 5.16562i | −0.134553 | + | 0.304917i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −40.9566 | + | 19.7237i | −2.40921 | + | 1.16021i | ||||
\(290\) | 0.297658 | − | 1.30412i | 0.0174791 | − | 0.0765808i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.0663 | − | 12.6228i | −0.589087 | − | 0.738692i | ||||
\(293\) | 11.8677 | 0.693319 | 0.346660 | − | 0.937991i | \(-0.387316\pi\) | ||||
0.346660 | + | 0.937991i | \(0.387316\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.0959721 | 0.00558771 | ||||||||
\(296\) | −2.46251 | − | 3.08790i | −0.143131 | − | 0.179480i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.95492 | − | 34.8528i | 0.460816 | − | 2.01897i | ||||
\(299\) | −0.0949961 | + | 0.0457477i | −0.00549376 | + | 0.00264566i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −26.8859 | + | 7.08380i | −1.54968 | + | 0.408303i | ||||
\(302\) | −39.6335 | + | 19.0865i | −2.28065 | + | 1.09830i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −21.1966 | − | 10.2078i | −1.21571 | − | 0.585455i | ||||
\(305\) | 0.817196 | + | 1.02473i | 0.0467925 | + | 0.0586760i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.29108 | + | 6.63480i | 0.301978 | + | 0.378668i | 0.909549 | − | 0.415597i | \(-0.136427\pi\) |
−0.607571 | + | 0.794265i | \(0.707856\pi\) | |||||||
\(308\) | 0.884354 | − | 2.00407i | 0.0503907 | − | 0.114193i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.39422 | − | 0.671419i | −0.0791861 | − | 0.0381340i | ||||
\(311\) | 3.95571 | + | 17.3311i | 0.224308 | + | 0.982756i | 0.954194 | + | 0.299188i | \(0.0967157\pi\) |
−0.729887 | + | 0.683568i | \(0.760427\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.25433 | 0.183946 | 0.0919729 | − | 0.995762i | \(-0.470683\pi\) | ||||
0.0919729 | + | 0.995762i | \(0.470683\pi\) | |||||||
\(314\) | −4.64005 | − | 20.3294i | −0.261853 | − | 1.14725i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.37339 | + | 6.01721i | −0.0772591 | + | 0.338494i | ||||
\(317\) | 6.42965 | − | 28.1701i | 0.361125 | − | 1.58219i | −0.389219 | − | 0.921145i | \(-0.627255\pi\) |
0.750344 | − | 0.661048i | \(-0.229888\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.688584 | + | 0.863456i | −0.0385533 | + | 0.0483443i | ||||
\(320\) | −0.338202 | + | 1.48176i | −0.0189061 | + | 0.0828329i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.400360 | − | 0.907273i | 0.0223112 | − | 0.0505604i | ||||
\(323\) | −8.94051 | − | 39.1709i | −0.497463 | − | 2.17953i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.61502 | 0.145055 | ||||||||
\(326\) | −4.94180 | − | 21.6514i | −0.273701 | − | 1.19916i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.985468 | + | 1.23574i | −0.0544133 | + | 0.0682322i | ||||
\(329\) | 20.8631 | + | 4.03787i | 1.15022 | + | 0.222615i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.09581 | − | 22.3262i | −0.280091 | − | 1.22716i | −0.897676 | − | 0.440656i | \(-0.854746\pi\) |
0.617585 | − | 0.786504i | \(-0.288111\pi\) | |||||||
\(332\) | 8.51414 | + | 10.6764i | 0.467274 | + | 0.585943i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −12.1911 | + | 15.2872i | −0.667067 | + | 0.836476i | ||||
\(335\) | −3.08609 | + | 1.48618i | −0.168611 | + | 0.0811987i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −19.3276 | − | 9.30767i | −1.05284 | − | 0.507021i | −0.174301 | − | 0.984692i | \(-0.555767\pi\) |
−0.878539 | + | 0.477671i | \(0.841481\pi\) | |||||||
\(338\) | −21.7655 | + | 10.4817i | −1.18389 | + | 0.570130i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.75801 | + | 1.80976i | −0.203807 | + | 0.0981481i | ||||
\(341\) | 0.796582 | + | 0.998882i | 0.0431373 | + | 0.0540925i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.65606 | + | 15.8038i | 0.521378 | + | 0.853326i | ||||
\(344\) | −7.78314 | −0.419639 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 19.7140 | − | 9.49377i | 1.05983 | − | 0.510388i | ||||
\(347\) | −3.51346 | + | 15.3935i | −0.188612 | + | 0.826365i | 0.788737 | + | 0.614731i | \(0.210736\pi\) |
−0.977349 | + | 0.211634i | \(0.932122\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 7.67393 | + | 3.69557i | 0.410776 | + | 0.197819i | 0.627848 | − | 0.778336i | \(-0.283936\pi\) |
−0.217071 | + | 0.976156i | \(0.569650\pi\) | |||||||
\(350\) | −18.7094 | + | 15.9652i | −1.00006 | + | 0.853373i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.34399 | − | 2.93927i | 0.124935 | − | 0.156664i | ||||
\(353\) | −16.2883 | − | 7.84405i | −0.866941 | − | 0.417497i | −0.0531031 | − | 0.998589i | \(-0.516911\pi\) |
−0.813838 | + | 0.581092i | \(0.802625\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.685181 | − | 3.00197i | −0.0363656 | − | 0.159328i | ||||
\(356\) | −13.3704 | − | 16.7659i | −0.708628 | − | 0.888592i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −23.6100 | + | 29.6060i | −1.24783 | + | 1.56473i | ||||
\(359\) | 20.8538 | + | 10.0426i | 1.10062 | + | 0.530030i | 0.893853 | − | 0.448360i | \(-0.147992\pi\) |
0.206766 | + | 0.978390i | \(0.433706\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.84593 | 0.360312 | ||||||||
\(362\) | −27.9847 | −1.47084 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.919275 | + | 2.08321i | −0.0481831 | + | 0.109190i | ||||
\(365\) | −0.731314 | + | 3.20410i | −0.0382787 | + | 0.167710i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.1961 | − | 14.0395i | 0.584433 | − | 0.732856i | −0.398429 | − | 0.917199i | \(-0.630444\pi\) |
0.982862 | + | 0.184343i | \(0.0590158\pi\) | |||||||
\(368\) | 0.569178 | − | 0.713726i | 0.0296704 | − | 0.0372055i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.739015 | − | 3.23783i | 0.0384195 | − | 0.168327i | ||||
\(371\) | −6.54055 | − | 12.5015i | −0.339569 | − | 0.649045i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.3809 | 0.744617 | 0.372309 | − | 0.928109i | \(-0.378566\pi\) | ||||
0.372309 | + | 0.928109i | \(0.378566\pi\) | |||||||
\(374\) | 7.72111 | 0.399249 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.35958 | + | 2.58104i | 0.276399 | + | 0.133107i | ||||
\(377\) | 0.715774 | − | 0.897553i | 0.0368643 | − | 0.0462263i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.78120 | − | 4.74147i | −0.194227 | − | 0.243553i | 0.675176 | − | 0.737657i | \(-0.264068\pi\) |
−0.869403 | + | 0.494104i | \(0.835496\pi\) | |||||||
\(380\) | −0.597062 | − | 2.61590i | −0.0306286 | − | 0.134193i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −18.8546 | − | 9.07989i | −0.964685 | − | 0.464568i | ||||
\(383\) | 8.67188 | − | 10.8742i | 0.443112 | − | 0.555645i | −0.509248 | − | 0.860620i | \(-0.670077\pi\) |
0.952360 | + | 0.304975i | \(0.0986480\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.431187 | + | 0.113608i | −0.0219753 | + | 0.00578998i | ||||
\(386\) | −19.7733 | − | 9.52231i | −1.00643 | − | 0.484673i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.44881 | − | 15.1102i | 0.175087 | − | 0.767106i | ||||
\(389\) | −12.0895 | + | 5.82199i | −0.612962 | + | 0.295187i | −0.714490 | − | 0.699646i | \(-0.753341\pi\) |
0.101528 | + | 0.994833i | \(0.467627\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.55902 | 0.0788433 | ||||||||
\(392\) | 1.48670 | + | 4.96672i | 0.0750895 | + | 0.250857i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.298949 | + | 0.374870i | 0.0150608 | + | 0.0188857i | ||||
\(395\) | 1.13194 | − | 0.545114i | 0.0569542 | − | 0.0274277i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.8469 | − | 7.63147i | 0.795333 | − | 0.383012i | 0.00833333 | − | 0.999965i | \(-0.497347\pi\) |
0.787000 | + | 0.616953i | \(0.211633\pi\) | |||||||
\(398\) | 30.0442 | + | 14.4685i | 1.50598 | + | 0.725242i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −20.3989 | + | 9.82360i | −1.01995 | + | 0.491180i | ||||
\(401\) | −4.23137 | + | 5.30597i | −0.211305 | + | 0.264968i | −0.876177 | − | 0.481989i | \(-0.839914\pi\) |
0.664873 | + | 0.746957i | \(0.268486\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.828037 | − | 1.03833i | −0.0412475 | − | 0.0517227i | ||||
\(404\) | −6.30269 | − | 27.6139i | −0.313571 | − | 1.37384i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.358649 | + | 10.7915i | 0.0177994 | + | 0.535575i | ||||
\(407\) | −1.70959 | + | 2.14376i | −0.0847413 | + | 0.106262i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.22689 | + | 14.1379i | 0.159560 | + | 0.699077i | 0.989894 | + | 0.141811i | \(0.0452924\pi\) |
−0.830334 | + | 0.557266i | \(0.811850\pi\) | |||||||
\(410\) | −1.32906 | −0.0656378 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.211436 | + | 0.926360i | 0.0104167 | + | 0.0456385i | ||||
\(413\) | −0.749113 | + | 0.197374i | −0.0368615 | + | 0.00971212i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.618549 | − | 2.71004i | 0.0303634 | − | 0.133031i | ||||
\(416\) | −2.43655 | + | 3.05533i | −0.119462 | + | 0.149800i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.10523 | + | 4.84232i | −0.0540584 | + | 0.236845i | ||||
\(419\) | −3.31218 | + | 14.5116i | −0.161811 | + | 0.708939i | 0.827300 | + | 0.561761i | \(0.189876\pi\) |
−0.989110 | + | 0.147177i | \(0.952981\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.36984 | + | 27.9081i | 0.310447 | + | 1.36016i | 0.853777 | + | 0.520639i | \(0.174306\pi\) |
−0.543330 | + | 0.839519i | \(0.682837\pi\) | |||||||
\(422\) | −31.0440 | −1.51120 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.878872 | − | 3.85059i | −0.0426818 | − | 0.187001i | ||||
\(425\) | −34.8371 | − | 16.7767i | −1.68985 | − | 0.813787i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −8.48609 | − | 6.31795i | −0.410671 | − | 0.305747i | ||||
\(428\) | −20.1394 | − | 25.2540i | −0.973474 | − | 1.22070i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.08053 | − | 5.11683i | −0.196781 | − | 0.246755i | ||||
\(431\) | 13.4527 | + | 6.47850i | 0.647996 | + | 0.312058i | 0.728856 | − | 0.684667i | \(-0.240052\pi\) |
−0.0808602 | + | 0.996725i | \(0.525767\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −21.6689 | + | 10.4352i | −1.04134 | + | 0.501484i | −0.874767 | − | 0.484544i | \(-0.838985\pi\) |
−0.166576 | + | 0.986029i | \(0.553271\pi\) | |||||||
\(434\) | 12.2634 | + | 2.37348i | 0.588663 | + | 0.113931i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.8320 | − | 7.14270i | 0.710322 | − | 0.342073i | ||||
\(437\) | −0.223164 | + | 0.977746i | −0.0106754 | + | 0.0467719i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.8638 | + | 13.6227i | 0.518499 | + | 0.650177i | 0.970289 | − | 0.241947i | \(-0.0777860\pi\) |
−0.451790 | + | 0.892124i | \(0.649215\pi\) | |||||||
\(440\) | −0.124823 | −0.00595073 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −8.02600 | −0.381758 | ||||||||
\(443\) | 1.21877 | + | 1.52829i | 0.0579055 | + | 0.0726112i | 0.809941 | − | 0.586512i | \(-0.199499\pi\) |
−0.752035 | + | 0.659123i | \(0.770928\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.971353 | + | 4.25577i | −0.0460465 | + | 0.201743i | ||||
\(446\) | 37.7571 | − | 18.1829i | 1.78785 | − | 0.860983i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.407501 | − | 12.2615i | −0.0192526 | − | 0.579300i | ||||
\(449\) | 25.9202 | − | 12.4825i | 1.22325 | − | 0.589086i | 0.293035 | − | 0.956102i | \(-0.405335\pi\) |
0.930215 | + | 0.367016i | \(0.119621\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.988635 | + | 0.476102i | 0.0465530 | + | 0.0224188i | ||||
\(452\) | 9.62345 | + | 12.0674i | 0.452649 | + | 0.567604i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5.62538 | + | 7.05400i | 0.264012 | + | 0.331061i | ||||
\(455\) | 0.448214 | − | 0.118094i | 0.0210126 | − | 0.00553632i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 16.6268 | + | 8.00702i | 0.777767 | + | 0.374553i | 0.780269 | − | 0.625444i | \(-0.215082\pi\) |
−0.00250222 | + | 0.999997i | \(0.500796\pi\) | |||||||
\(458\) | −10.0390 | − | 43.9839i | −0.469093 | − | 2.05523i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.104114 | 0.00485435 | ||||||||
\(461\) | 4.30219 | + | 18.8491i | 0.200373 | + | 0.877891i | 0.970710 | + | 0.240254i | \(0.0772308\pi\) |
−0.770337 | + | 0.637637i | \(0.779912\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.84121 | − | 25.5920i | 0.271464 | − | 1.18936i | −0.636822 | − | 0.771011i | \(-0.719751\pi\) |
0.908286 | − | 0.418350i | \(-0.137391\pi\) | |||||||
\(464\) | −2.21177 | + | 9.69040i | −0.102679 | + | 0.449866i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.03092 | + | 7.56253i | −0.279377 | + | 0.350327i | ||||
\(467\) | −0.974650 | + | 4.27022i | −0.0451014 | + | 0.197602i | −0.992459 | − | 0.122574i | \(-0.960885\pi\) |
0.947358 | + | 0.320176i | \(0.103742\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 21.0321 | − | 17.9472i | 0.971173 | − | 0.828725i | ||||
\(470\) | 1.11307 | + | 4.87670i | 0.0513423 | + | 0.224945i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.216859 | −0.00998176 | ||||||||
\(473\) | 1.20237 | + | 5.26794i | 0.0552852 | + | 0.242220i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 15.5082 | − | 19.4467i | 0.711566 | − | 0.892276i | ||||
\(476\) | 25.6114 | − | 21.8548i | 1.17389 | − | 1.00171i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.24476 | − | 27.3601i | −0.285628 | − | 1.25142i | ||||
\(479\) | −10.9526 | − | 13.7341i | −0.500436 | − | 0.627527i | 0.465891 | − | 0.884842i | \(-0.345734\pi\) |
−0.966328 | + | 0.257315i | \(0.917162\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.77710 | − | 2.22841i | 0.0810288 | − | 0.101607i | ||||
\(482\) | −4.05066 | + | 1.95069i | −0.184502 | + | 0.0888517i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 15.5746 | + | 7.50034i | 0.707937 | + | 0.340924i | ||||
\(485\) | −2.84250 | + | 1.36888i | −0.129071 | + | 0.0621574i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.4867 | + | 5.53169i | −0.520511 | + | 0.250665i | −0.675643 | − | 0.737229i | \(-0.736134\pi\) |
0.155132 | + | 0.987894i | \(0.450420\pi\) | |||||||
\(488\) | −1.84654 | − | 2.31549i | −0.0835891 | − | 0.104817i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.48580 | + | 3.58134i | −0.112297 | + | 0.161788i | ||||
\(491\) | −6.03979 | −0.272572 | −0.136286 | − | 0.990670i | \(-0.543517\pi\) | ||||
−0.136286 | + | 0.990670i | \(0.543517\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.2937 | + | 7.36508i | −0.688795 | + | 0.331706i | ||||
\(494\) | 1.14887 | − | 5.03353i | 0.0516901 | − | 0.226469i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 10.3598 | + | 4.98903i | 0.465170 | + | 0.224014i | ||||
\(497\) | 11.5220 | + | 22.0229i | 0.516831 | + | 0.987861i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.19012 | − | 1.49236i | 0.0532769 | − | 0.0668072i | −0.754479 | − | 0.656324i | \(-0.772110\pi\) |
0.807756 | + | 0.589517i | \(0.200682\pi\) | |||||||
\(500\) | −4.70404 | − | 2.26535i | −0.210371 | − | 0.101309i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.89992 | + | 17.0867i | 0.174062 | + | 0.762616i | ||||
\(503\) | −15.1640 | − | 19.0150i | −0.676127 | − | 0.847837i | 0.318864 | − | 0.947801i | \(-0.396699\pi\) |
−0.994991 | + | 0.0999637i | \(0.968127\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.59481 | + | 4.50776i | −0.159967 | + | 0.200592i | ||||
\(506\) | −0.173641 | − | 0.0836210i | −0.00771928 | − | 0.00371741i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −18.4766 | −0.819766 | ||||||||
\(509\) | −32.9072 | −1.45858 | −0.729292 | − | 0.684202i | \(-0.760150\pi\) | ||||
−0.729292 | + | 0.684202i | \(0.760150\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.881163 | − | 26.5137i | −0.0389803 | − | 1.17290i | ||||
\(512\) | 6.00369 | − | 26.3039i | 0.265328 | − | 1.16248i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.61580 | − | 7.04199i | 0.247702 | − | 0.310609i | ||||
\(515\) | 0.120595 | − | 0.151221i | 0.00531404 | − | 0.00666359i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.918978 | − | 4.02630i | 0.0404166 | − | 0.177077i | ||||
\(518\) | 0.890441 | + | 26.7929i | 0.0391237 | + | 1.17721i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.129752 | 0.00569002 | ||||||||
\(521\) | 38.1074 | 1.66952 | 0.834759 | − | 0.550616i | \(-0.185607\pi\) | ||||
0.834759 | + | 0.550616i | \(0.185607\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 32.6614 | + | 15.7289i | 1.42818 | + | 0.687777i | 0.978659 | − | 0.205491i | \(-0.0658790\pi\) |
0.449525 | + | 0.893268i | \(0.351593\pi\) | |||||||
\(524\) | −3.55358 | + | 4.45605i | −0.155239 | + | 0.194664i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.0233 | − | 13.8228i | −0.480639 | − | 0.602702i | ||||
\(527\) | 4.36967 | + | 19.1448i | 0.190346 | + | 0.833959i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.6872 | + | 9.96244i | 0.899444 | + | 0.433150i | ||||
\(530\) | 2.07070 | − | 2.59657i | 0.0899454 | − | 0.112788i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 10.0402 | + | 19.1906i | 0.435297 | + | 0.832018i | ||||
\(533\) | −1.02767 | − | 0.494902i | −0.0445135 | − | 0.0214366i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.46312 | + | 6.41034i | −0.0632562 | + | 0.277143i | ||||
\(536\) | 6.97335 | − | 3.35819i | 0.301203 | − | 0.145052i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −53.6343 | −2.31234 | ||||||||
\(539\) | 3.13200 | − | 1.77354i | 0.134905 | − | 0.0763916i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 23.7907 | + | 29.8326i | 1.02284 | + | 1.28260i | 0.958626 | + | 0.284667i | \(0.0918830\pi\) |
0.0642154 | + | 0.997936i | \(0.479546\pi\) | |||||||
\(542\) | −21.7965 | + | 10.4966i | −0.936240 | + | 0.450869i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 52.0610 | − | 25.0713i | 2.23210 | − | 1.07492i | ||||
\(545\) | −3.01919 | − | 1.45397i | −0.129328 | − | 0.0622810i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.84460 | + | 1.36989i | −0.121626 | + | 0.0585721i | −0.493707 | − | 0.869628i | \(-0.664359\pi\) |
0.372081 | + | 0.928200i | \(0.378644\pi\) | |||||||
\(548\) | −9.70428 | + | 12.1688i | −0.414546 | + | 0.519825i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.98023 | + | 3.73710i | 0.127078 | + | 0.159350i | ||||
\(551\) | −2.42983 | − | 10.6458i | −0.103514 | − | 0.453525i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.71434 | + | 6.58283i | −0.328047 | + | 0.279930i | ||||
\(554\) | 12.8985 | − | 16.1742i | 0.548005 | − | 0.687176i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.05337 | − | 30.9028i | −0.299130 | − | 1.31057i | ||||
\(557\) | −25.7487 | −1.09101 | −0.545505 | − | 0.838108i | \(-0.683662\pi\) | ||||
−0.545505 | + | 0.838108i | \(0.683662\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.24985 | − | 5.47596i | −0.0528631 | − | 0.231608i | ||||
\(560\) | −3.05274 | + | 2.60498i | −0.129002 | + | 0.110080i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 10.2741 | − | 45.0136i | 0.433385 | − | 1.89878i | ||||
\(563\) | −7.15266 | + | 8.96915i | −0.301449 | + | 0.378005i | −0.909367 | − | 0.415995i | \(-0.863433\pi\) |
0.607918 | + | 0.794000i | \(0.292005\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.699140 | − | 3.06313i | 0.0294130 | − | 0.128867i | ||||
\(566\) | −2.88570 | + | 12.6431i | −0.121295 | + | 0.531428i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.54824 | + | 6.78328i | 0.0649627 | + | 0.284620i | ||||
\(569\) | 31.2990 | 1.31212 | 0.656061 | − | 0.754708i | \(-0.272221\pi\) | ||||
0.656061 | + | 0.754708i | \(0.272221\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.87936 | − | 8.23403i | −0.0786489 | − | 0.344583i | 0.920259 | − | 0.391310i | \(-0.127978\pi\) |
−0.998908 | + | 0.0467269i | \(0.985121\pi\) | |||||||
\(572\) | 0.398701 | + | 0.192004i | 0.0166705 | + | 0.00802810i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 10.3741 | − | 2.73332i | 0.433005 | − | 0.114086i | ||||
\(575\) | 0.601760 | + | 0.754584i | 0.0250951 | + | 0.0314683i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 14.6164 | + | 18.3284i | 0.608488 | + | 0.763019i | 0.986674 | − | 0.162710i | \(-0.0520236\pi\) |
−0.378186 | + | 0.925729i | \(0.623452\pi\) | |||||||
\(578\) | 77.8197 | + | 37.4760i | 3.23687 | + | 1.55880i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.02134 | + | 0.491852i | −0.0424089 | + | 0.0204230i | ||||
\(581\) | 0.745292 | + | 22.4254i | 0.0309199 | + | 0.930363i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.47046 | + | 1.18971i | −0.102316 | + | 0.0492728i | ||||
\(584\) | 1.65248 | − | 7.24000i | 0.0683803 | − | 0.299593i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.0592 | − | 17.6297i | −0.580782 | − | 0.728278i | ||||
\(587\) | −12.2705 | −0.506457 | −0.253229 | − | 0.967406i | \(-0.581493\pi\) | ||||
−0.253229 | + | 0.967406i | \(0.581493\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.6322 | −0.520500 | ||||||||
\(590\) | −0.113695 | − | 0.142569i | −0.00468073 | − | 0.00586946i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.49131 | + | 24.0590i | −0.225691 | + | 0.988819i | ||||
\(593\) | 20.0451 | − | 9.65322i | 0.823154 | − | 0.396410i | 0.0256109 | − | 0.999672i | \(-0.491847\pi\) |
0.797543 | + | 0.603262i | \(0.206133\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.72870 | − | 1.30228i | −0.275850 | − | 0.0533883i | ||||
\(596\) | −27.2954 | + | 13.1448i | −1.11806 | + | 0.538431i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.180498 | + | 0.0869230i | 0.00738109 | + | 0.00355455i | ||||
\(599\) | −9.92694 | − | 12.4480i | −0.405604 | − | 0.508611i | 0.536515 | − | 0.843891i | \(-0.319741\pi\) |
−0.942119 | + | 0.335280i | \(0.891169\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.2966 | − | 17.9273i | −0.583169 | − | 0.731271i | 0.399481 | − | 0.916742i | \(-0.369190\pi\) |
−0.982650 | + | 0.185471i | \(0.940619\pi\) | |||||||
\(602\) | 42.3739 | + | 31.5477i | 1.72703 | + | 1.28579i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 33.5874 | + | 16.1749i | 1.36665 | + | 0.658145i | ||||
\(605\) | −0.783015 | − | 3.43061i | −0.0318341 | − | 0.139474i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −41.1112 | −1.66865 | −0.834325 | − | 0.551273i | \(-0.814142\pi\) | ||||
−0.834325 | + | 0.551273i | \(0.814142\pi\) | |||||||
\(608\) | 8.27131 | + | 36.2390i | 0.335446 | + | 1.46968i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.554158 | − | 2.42792i | 0.0224372 | − | 0.0983038i | ||||
\(611\) | −0.955266 | + | 4.18529i | −0.0386459 | + | 0.169319i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.48740 | + | 10.6429i | −0.342803 | + | 0.429861i | −0.923110 | − | 0.384537i | \(-0.874361\pi\) |
0.580307 | + | 0.814398i | \(0.302933\pi\) | |||||||
\(614\) | 3.58799 | − | 15.7200i | 0.144799 | − | 0.634408i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.974314 | − | 0.256709i | 0.0392562 | − | 0.0103431i | ||||
\(617\) | 1.73617 | + | 7.60665i | 0.0698955 | + | 0.306232i | 0.997777 | − | 0.0666434i | \(-0.0212290\pi\) |
−0.927881 | + | 0.372876i | \(0.878372\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −37.1189 | −1.49193 | −0.745967 | − | 0.665983i | \(-0.768012\pi\) | ||||
−0.745967 | + | 0.665983i | \(0.768012\pi\) | |||||||
\(620\) | 0.291814 | + | 1.27852i | 0.0117195 | + | 0.0513466i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 21.0595 | − | 26.4078i | 0.844410 | − | 1.05886i | ||||
\(623\) | −1.17039 | − | 35.2163i | −0.0468905 | − | 1.41091i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.20699 | − | 22.8133i | −0.208280 | − | 0.912533i | ||||
\(626\) | −3.85529 | − | 4.83438i | −0.154088 | − | 0.193221i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.0178 | + | 13.8159i | −0.439659 | + | 0.551315i | ||||
\(629\) | −37.9708 | + | 18.2858i | −1.51399 | + | 0.729101i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.1280 | + | 6.32213i | 0.522619 | + | 0.251680i | 0.676544 | − | 0.736403i | \(-0.263477\pi\) |
−0.153925 | + | 0.988083i | \(0.549191\pi\) | |||||||
\(632\) | −2.55774 | + | 1.23174i | −0.101742 | + | 0.0489962i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −49.4643 | + | 23.8208i | −1.96448 | + | 0.946043i | ||||
\(635\) | 2.34500 | + | 2.94054i | 0.0930585 | + | 0.116692i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.25568 | + | 1.84357i | −0.128995 | + | 0.0730449i | ||||
\(638\) | 2.09842 | 0.0830774 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.71652 | + | 0.826634i | −0.0678515 | + | 0.0326756i | ||||
\(641\) | 3.72154 | − | 16.3051i | 0.146992 | − | 0.644014i | −0.846719 | − | 0.532040i | \(-0.821426\pi\) |
0.993711 | − | 0.111974i | \(-0.0357173\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.18720 | + | 1.53487i | 0.125691 | + | 0.0605295i | 0.495672 | − | 0.868510i | \(-0.334922\pi\) |
−0.369981 | + | 0.929039i | \(0.620636\pi\) | |||||||
\(644\) | −0.812667 | + | 0.214119i | −0.0320236 | + | 0.00843746i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −47.5978 | + | 59.6857i | −1.87271 | + | 2.34830i | ||||
\(647\) | 6.03571 | + | 2.90664i | 0.237288 | + | 0.114272i | 0.548749 | − | 0.835987i | \(-0.315104\pi\) |
−0.311461 | + | 0.950259i | \(0.600818\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.0335013 | + | 0.146779i | 0.00131504 | + | 0.00576158i | ||||
\(650\) | −3.09792 | − | 3.88467i | −0.121510 | − | 0.152369i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −11.7343 | + | 14.7144i | −0.459552 | + | 0.576260i | ||||
\(653\) | 11.2811 | + | 5.43269i | 0.441464 | + | 0.212598i | 0.641393 | − | 0.767213i | \(-0.278357\pi\) |
−0.199929 | + | 0.979810i | \(0.564071\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.16019 | 0.0453324 | ||||||||
\(656\) | 9.87571 | 0.385582 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −18.7174 | − | 35.7761i | −0.729681 | − | 1.39470i | ||||
\(659\) | −2.40074 | + | 10.5183i | −0.0935195 | + | 0.409736i | −0.999920 | − | 0.0126846i | \(-0.995962\pi\) |
0.906400 | + | 0.422420i | \(0.138819\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.56257 | − | 11.9911i | 0.371941 | − | 0.466399i | −0.560272 | − | 0.828308i | \(-0.689304\pi\) |
0.932213 | + | 0.361909i | \(0.117875\pi\) | |||||||
\(662\) | −27.1293 | + | 34.0190i | −1.05441 | + | 1.32219i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.39768 | + | 6.12363i | −0.0542405 | + | 0.237643i | ||||
\(665\) | 1.77990 | − | 4.03351i | 0.0690215 | − | 0.156413i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.423707 | 0.0164060 | ||||||||
\(668\) | 16.5702 | 0.641121 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.86373 | + | 2.82382i | 0.226536 | + | 0.109094i | ||||
\(671\) | −1.28196 | + | 1.60752i | −0.0494893 | + | 0.0620577i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.28909 | + | 9.14023i | 0.280974 | + | 0.352330i | 0.902213 | − | 0.431291i | \(-0.141942\pi\) |
−0.621239 | + | 0.783621i | \(0.713370\pi\) | |||||||
\(674\) | 9.06994 | + | 39.7380i | 0.349361 | + | 1.53065i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 18.4452 | + | 8.88274i | 0.709431 | + | 0.341644i | ||||
\(677\) | 4.93508 | − | 6.18839i | 0.189670 | − | 0.237839i | −0.677899 | − | 0.735155i | \(-0.737109\pi\) |
0.867570 | + | 0.497316i | \(0.165681\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 19.3720 | − | 16.5306i | 0.743430 | − | 0.634387i | ||||
\(680\) | −1.72855 | − | 0.832427i | −0.0662870 | − | 0.0319221i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.540179 | − | 2.36668i | 0.0206845 | − | 0.0906248i | ||||
\(683\) | −20.2309 | + | 9.74268i | −0.774113 | + | 0.372793i | −0.778862 | − | 0.627195i | \(-0.784203\pi\) |
0.00474857 | + | 0.999989i | \(0.498488\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.16830 | 0.121054 | ||||||||
\(686\) | 12.0377 | − | 33.0665i | 0.459603 | − | 1.26248i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 30.3207 | + | 38.0210i | 1.15597 | + | 1.44954i | ||||
\(689\) | 2.56801 | − | 1.23669i | 0.0978335 | − | 0.0471142i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −30.2885 | + | 14.5862i | −1.15223 | + | 0.554884i | −0.909703 | − | 0.415260i | \(-0.863691\pi\) |
−0.242527 | + | 0.970145i | \(0.577976\pi\) | |||||||
\(692\) | −16.7067 | − | 8.04551i | −0.635092 | − | 0.305844i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 27.0296 | − | 13.0168i | 1.02603 | − | 0.494110i | ||||
\(695\) | −4.02297 | + | 5.04465i | −0.152600 | + | 0.191354i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.5156 | + | 13.1861i | 0.398305 | + | 0.499459i | ||||
\(698\) | −3.60118 | − | 15.7778i | −0.136307 | − | 0.597198i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 20.4635 | + | 3.96054i | 0.773449 | + | 0.149694i | ||||
\(701\) | 0.340419 | − | 0.426872i | 0.0128575 | − | 0.0161227i | −0.775361 | − | 0.631518i | \(-0.782432\pi\) |
0.788219 | + | 0.615395i | \(0.211004\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.03269 | − | 26.4309i | −0.227527 | − | 0.996862i | ||||
\(704\) | −2.38425 | −0.0898598 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 7.64370 | + | 33.4892i | 0.287674 | + | 1.26038i | ||||
\(707\) | 18.7889 | − | 42.5784i | 0.706630 | − | 1.60133i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −10.2575 | + | 44.9409i | −0.385227 | + | 1.68779i | 0.295572 | + | 0.955321i | \(0.404490\pi\) |
−0.680799 | + | 0.732470i | \(0.738367\pi\) | |||||||
\(710\) | −3.64779 | + | 4.57418i | −0.136899 | + | 0.171666i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.19488 | − | 9.61638i | 0.0822564 | − | 0.360389i | ||||
\(713\) | 0.109071 | − | 0.477873i | 0.00408475 | − | 0.0178965i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0200447 | − | 0.0878217i | −0.000749630 | − | 0.00328434i | ||||
\(716\) | 32.0909 | 1.19929 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.78613 | − | 42.8758i | −0.365215 | − | 1.60011i | ||||
\(719\) | 38.4386 | + | 18.5110i | 1.43352 | + | 0.690345i | 0.979648 | − | 0.200723i | \(-0.0643291\pi\) |
0.453869 | + | 0.891068i | \(0.350043\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.630309 | + | 1.42837i | −0.0234739 | + | 0.0531954i | ||||
\(722\) | −8.11012 | − | 10.1698i | −0.301828 | − | 0.378480i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 14.7865 | + | 18.5416i | 0.549535 | + | 0.689095i | ||||
\(725\) | −9.46793 | − | 4.55951i | −0.351630 | − | 0.169336i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −11.4063 | + | 5.49300i | −0.423037 | + | 0.203724i | −0.633276 | − | 0.773926i | \(-0.718290\pi\) |
0.210239 | + | 0.977650i | \(0.432576\pi\) | |||||||
\(728\) | −1.01279 | + | 0.266846i | −0.0375364 | + | 0.00988995i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5.62612 | − | 2.70940i | 0.208232 | − | 0.100279i | ||||
\(731\) | −18.4806 | + | 80.9688i | −0.683529 | + | 2.99474i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.6768 | − | 13.3883i | −0.394358 | − | 0.494509i | 0.544525 | − | 0.838744i | \(-0.316710\pi\) |
−0.938884 | + | 0.344235i | \(0.888138\pi\) | |||||||
\(734\) | −34.1196 | −1.25938 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.44233 | −0.0531650 | ||||||||
\(737\) | −3.35023 | − | 4.20105i | −0.123407 | − | 0.154748i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.06165 | + | 22.1765i | −0.186196 | + | 0.815777i | 0.792403 | + | 0.609998i | \(0.208830\pi\) |
−0.978599 | + | 0.205778i | \(0.934027\pi\) | |||||||
\(740\) | −2.53575 | + | 1.22115i | −0.0932160 | + | 0.0448905i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.8229 | + | 24.5262i | −0.397320 | + | 0.900385i | ||||
\(743\) | 34.6362 | − | 16.6799i | 1.27068 | − | 0.611927i | 0.327701 | − | 0.944781i | \(-0.393726\pi\) |
0.942978 | + | 0.332854i | \(0.108012\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.55624 | + | 2.67575i | 0.203565 | + | 0.0980318i | ||||
\(746\) | −17.0366 | − | 21.3632i | −0.623754 | − | 0.782162i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −4.07966 | − | 5.11573i | −0.149167 | − | 0.187050i | ||||
\(749\) | −1.76292 | − | 53.0452i | −0.0644156 | − | 1.93823i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 37.9127 | + | 18.2578i | 1.38346 | + | 0.666237i | 0.969733 | − | 0.244166i | \(-0.0785142\pi\) |
0.413722 | + | 0.910403i | \(0.364228\pi\) | |||||||
\(752\) | −8.27079 | − | 36.2367i | −0.301605 | − | 1.32142i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.18129 | −0.0794377 | ||||||||
\(755\) | −1.68861 | − | 7.39829i | −0.0614549 | − | 0.269251i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.561069 | + | 2.45820i | −0.0203924 | + | 0.0893449i | −0.984100 | − | 0.177615i | \(-0.943162\pi\) |
0.963708 | + | 0.266960i | \(0.0860190\pi\) | |||||||
\(758\) | −2.56411 | + | 11.2341i | −0.0931326 | + | 0.408041i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.769490 | − | 0.964910i | 0.0279123 | − | 0.0350010i | ||||
\(761\) | −8.95304 | + | 39.2258i | −0.324548 | + | 1.42194i | 0.504816 | + | 0.863227i | \(0.331560\pi\) |
−0.829364 | + | 0.558709i | \(0.811297\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 26.5566 | + | 5.13979i | 0.961413 | + | 0.186073i | ||||
\(764\) | 3.94633 | + | 17.2900i | 0.142773 | + | 0.625530i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −26.4271 | −0.954850 | ||||||||
\(767\) | −0.0348242 | − | 0.152575i | −0.00125743 | − | 0.00550916i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 21.8800 | − | 27.4366i | 0.789012 | − | 0.989389i | −0.210918 | − | 0.977504i | \(-0.567645\pi\) |
0.999929 | − | 0.0118856i | \(-0.00378340\pi\) | |||||||
\(770\) | 0.679578 | + | 0.505951i | 0.0244903 | + | 0.0182332i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.13861 | + | 18.1324i | 0.148952 | + | 0.652600i | ||||
\(773\) | −7.01272 | − | 8.79367i | −0.252230 | − | 0.316286i | 0.639555 | − | 0.768745i | \(-0.279118\pi\) |
−0.891785 | + | 0.452459i | \(0.850547\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.57963 | + | 9.50456i | −0.272268 | + | 0.341414i | ||||
\(776\) | 6.42293 | − | 3.09312i | 0.230570 | − | 0.111037i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 22.9707 | + | 11.0621i | 0.823539 | + | 0.396595i | ||||
\(779\) | −9.77493 | + | 4.70736i | −0.350223 | + | 0.168659i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.35202 | − | 2.09582i | 0.155727 | − | 0.0749943i | ||||
\(782\) | −1.84692 | − | 2.31596i | −0.0660457 | − | 0.0828187i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 18.4710 | − | 26.6114i | 0.659677 | − | 0.950408i | ||||
\(785\) | 3.59715 | 0.128388 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −22.2589 | + | 10.7193i | −0.793443 | + | 0.382102i | −0.786278 | − | 0.617872i | \(-0.787995\pi\) |
−0.00716462 | + | 0.999974i | \(0.502281\pi\) | |||||||
\(788\) | 0.0904175 | − | 0.396145i | 0.00322099 | − | 0.0141121i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.15075 | − | 1.03575i | −0.0765202 | − | 0.0368502i | ||||
\(791\) | 0.842396 | + | 25.3472i | 0.0299522 | + | 0.901244i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.33258 | − | 1.67100i | 0.0473212 | − | 0.0593389i | ||||
\(794\) | −30.1100 | − | 14.5002i | −1.06856 | − | 0.514593i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.28835 | − | 27.5511i | −0.222885 | − | 0.976521i | ||||
\(797\) | −20.8274 | − | 26.1168i | −0.737746 | − | 0.925104i | 0.261449 | − | 0.965217i | \(-0.415800\pi\) |
−0.999195 | + | 0.0401132i | \(0.987228\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 39.5767 | − | 49.6277i | 1.40012 | − | 1.75570i | ||||
\(800\) | 32.2295 | + | 15.5209i | 1.13949 | + | 0.548747i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 12.8949 | 0.455334 | ||||||||
\(803\) | −5.15561 | −0.181937 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.137218 | + | 0.102160i | 0.00483632 | + | 0.00360067i | ||||
\(806\) | −0.561509 | + | 2.46013i | −0.0197783 | + | 0.0866545i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.12287 | − | 10.1858i | 0.285762 | − | 0.358334i | ||||
\(809\) | −26.4431 | + | 33.1586i | −0.929689 | + | 1.16579i | 0.0562047 | + | 0.998419i | \(0.482100\pi\) |
−0.985894 | + | 0.167374i | \(0.946471\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.04624 | + | 4.58390i | −0.0367386 | + | 0.160962i | −0.989970 | − | 0.141280i | \(-0.954878\pi\) |
0.953231 | + | 0.302243i | \(0.0977353\pi\) | |||||||
\(812\) | 6.96059 | − | 5.93963i | 0.244269 | − | 0.208440i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 5.20989 | 0.182607 | ||||||||
\(815\) | 3.83107 | 0.134197 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −48.1344 | − | 23.1803i | −1.68401 | − | 0.810976i | ||||
\(818\) | 17.1794 | − | 21.5423i | 0.600665 | − | 0.753210i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.702247 | + | 0.880589i | 0.0245235 | + | 0.0307515i | ||||
\(821\) | −4.86304 | − | 21.3064i | −0.169721 | − | 0.743598i | −0.986110 | − | 0.166095i | \(-0.946884\pi\) |
0.816389 | − | 0.577503i | \(-0.195973\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.6167 | − | 10.4100i | −0.753509 | − | 0.362871i | 0.0173727 | − | 0.999849i | \(-0.494470\pi\) |
−0.770882 | + | 0.636978i | \(0.780184\pi\) | |||||||
\(824\) | −0.272497 | + | 0.341700i | −0.00949288 | + | 0.0119037i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.18065 | + | 0.879003i | 0.0410801 | + | 0.0305844i | ||||
\(827\) | −43.1281 | − | 20.7694i | −1.49971 | − | 0.722223i | −0.509328 | − | 0.860572i | \(-0.670106\pi\) |
−0.990383 | + | 0.138349i | \(0.955820\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.91724 | − | 8.39999i | 0.0665886 | − | 0.291744i | −0.930659 | − | 0.365888i | \(-0.880765\pi\) |
0.997248 | + | 0.0741441i | \(0.0236225\pi\) | |||||||
\(830\) | −4.75860 | + | 2.29162i | −0.165173 | + | 0.0795433i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.47840 | 0.0859231 | ||||||||
\(833\) | 55.1994 | − | 3.67308i | 1.91254 | − | 0.127265i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.10305 | − | 2.63714i | −0.0727790 | − | 0.0912620i | ||||
\(836\) | 3.79232 | − | 1.82629i | 0.131160 | − | 0.0631634i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 25.4811 | − | 12.2711i | 0.880231 | − | 0.423897i | ||||
\(839\) | −0.287710 | − | 0.138554i | −0.00993285 | − | 0.00478341i | 0.428911 | − | 0.903347i | \(-0.358897\pi\) |
−0.438844 | + | 0.898563i | \(0.644612\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.9716 | − | 10.5810i | 0.757642 | − | 0.364861i | ||||
\(842\) | 33.9120 | − | 42.5243i | 1.16868 | − | 1.46548i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 16.4030 | + | 20.5687i | 0.564613 | + | 0.708003i | ||||
\(845\) | −0.927334 | − | 4.06292i | −0.0319013 | − | 0.139769i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.1672 | + | 25.1674i | 0.452429 | + | 0.864763i | ||||
\(848\) | −15.3865 | + | 19.2940i | −0.528374 | + | 0.662560i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 16.3482 | + | 71.6259i | 0.560737 | + | 2.45675i | ||||
\(851\) | 1.05197 | 0.0360609 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.86772 | − | 34.4707i | −0.269385 | − | 1.18025i | −0.910730 | − | 0.413002i | \(-0.864480\pi\) |
0.641345 | − | 0.767253i | \(-0.278377\pi\) | |||||||
\(854\) | 0.667707 | + | 20.0909i | 0.0228484 | + | 0.687497i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.30608 | − | 14.4849i | 0.112999 | − | 0.495082i | ||||
\(857\) | 4.14028 | − | 5.19175i | 0.141429 | − | 0.177347i | −0.706072 | − | 0.708140i | \(-0.749535\pi\) |
0.847501 | + | 0.530793i | \(0.178106\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.00372 | − | 35.0666i | 0.273083 | − | 1.19646i | −0.633268 | − | 0.773932i | \(-0.718287\pi\) |
0.906352 | − | 0.422524i | \(-0.138856\pi\) | |||||||
\(860\) | −1.23416 | + | 5.40723i | −0.0420847 | + | 0.184385i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.31303 | − | 27.6592i | −0.215023 | − | 0.942075i | ||||
\(863\) | 6.01001 | 0.204583 | 0.102292 | − | 0.994754i | \(-0.467383\pi\) | ||||
0.102292 | + | 0.994754i | \(0.467383\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.839929 | + | 3.67997i | 0.0285584 | + | 0.125123i | ||||
\(866\) | 41.1721 | + | 19.8275i | 1.39909 | + | 0.673764i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.90713 | − | 9.37939i | −0.166559 | − | 0.318357i | ||||
\(869\) | 1.22883 | + | 1.54090i | 0.0416850 | + | 0.0522714i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.48252 | + | 4.36694i | 0.118001 | + | 0.147968i | ||||
\(872\) | 6.82218 | + | 3.28539i | 0.231028 | + | 0.111257i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.71684 | − | 0.826785i | 0.0580729 | − | 0.0279664i | ||||
\(875\) | −3.97691 | − | 7.60139i | −0.134444 | − | 0.256974i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 10.2960 | − | 4.95831i | 0.347673 | − | 0.167430i | −0.251895 | − | 0.967755i | \(-0.581054\pi\) |
0.599567 | + | 0.800324i | \(0.295339\pi\) | |||||||
\(878\) | 7.36695 | − | 32.2767i | 0.248622 | − | 1.08929i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.486274 | + | 0.609768i | 0.0163923 | + | 0.0205553i | ||||
\(881\) | −11.0685 | −0.372907 | −0.186453 | − | 0.982464i | \(-0.559699\pi\) | ||||
−0.186453 | + | 0.982464i | \(0.559699\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 23.0593 | 0.776006 | 0.388003 | − | 0.921658i | \(-0.373165\pi\) | ||||
0.388003 | + | 0.921658i | \(0.373165\pi\) | |||||||
\(884\) | 4.24076 | + | 5.31774i | 0.142632 | + | 0.178855i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.826474 | − | 3.62102i | 0.0277659 | − | 0.121650i | ||||
\(887\) | 50.9661 | − | 24.5440i | 1.71127 | − | 0.824106i | 0.719741 | − | 0.694242i | \(-0.244260\pi\) |
0.991532 | − | 0.129863i | \(-0.0414538\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −24.3514 | − | 18.1298i | −0.816720 | − | 0.608054i | ||||
\(890\) | 7.47277 | − | 3.59870i | 0.250488 | − | 0.120629i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −31.9973 | − | 15.4091i | −1.07135 | − | 0.515934i | ||||
\(893\) | 25.4590 | + | 31.9245i | 0.851952 | + | 1.06831i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.07289 | − | 5.10724i | −0.136142 | − | 0.170716i | ||||
\(896\) | 11.6983 | − | 9.98247i | 0.390814 | − | 0.333491i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −49.2497 | − | 23.7174i | −1.64348 | − | 0.791461i | ||||
\(899\) | 1.18758 | + | 5.20311i | 0.0396079 | + | 0.173534i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −42.1449 | −1.40405 | ||||||||
\(902\) | −0.463941 | − | 2.03266i | −0.0154476 | − | 0.0676802i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.57978 | + | 6.92148i | −0.0525428 | + | 0.230205i | ||||
\(905\) | 1.07423 | − | 4.70651i | 0.0357087 | − | 0.156450i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.95738 | + | 9.97824i | −0.264220 | + | 0.331322i | −0.896189 | − | 0.443672i | \(-0.853676\pi\) |
0.631969 | + | 0.774994i | \(0.282247\pi\) | |||||||
\(908\) | 1.70141 | − | 7.45435i | 0.0564632 | − | 0.247381i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.706414 | − | 0.525930i | −0.0234174 | − | 0.0174344i | ||||
\(911\) | 6.31313 | + | 27.6596i | 0.209163 | + | 0.916405i | 0.965125 | + | 0.261789i | \(0.0843124\pi\) |
−0.755962 | + | 0.654616i | \(0.772830\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.36064 | 0.144316 | ||||||||
\(914\) | −7.80251 | − | 34.1850i | −0.258084 | − | 1.13074i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −23.8377 | + | 29.8916i | −0.787621 | + | 0.987645i | ||||
\(917\) | −9.05590 | + | 2.38602i | −0.299052 | + | 0.0787932i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.51006 | + | 6.61601i | 0.0498123 | + | 0.218242i | 0.993708 | − | 0.112002i | \(-0.0357262\pi\) |
−0.943896 | + | 0.330244i | \(0.892869\pi\) | |||||||
\(920\) | 0.0298583 | + | 0.0374411i | 0.000984397 | + | 0.00123440i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 22.9041 | − | 28.7209i | 0.754307 | − | 0.945871i | ||||
\(923\) | −4.52387 | + | 2.17858i | −0.148905 | + | 0.0717088i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −23.5066 | − | 11.3202i | −0.772894 | − | 0.372206i | ||||
\(926\) | −44.9373 | + | 21.6407i | −1.47673 | + | 0.711157i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 14.1490 | − | 6.81380i | 0.464464 | − | 0.223674i | ||||
\(929\) | −28.4597 | − | 35.6873i | −0.933733 | − | 1.17086i | −0.985065 | − | 0.172182i | \(-0.944918\pi\) |
0.0513324 | − | 0.998682i | \(-0.483653\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.59785 | + | 35.1442i | −0.183462 | + | 1.15180i | ||||
\(932\) | 8.19726 | 0.268510 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 7.49814 | − | 3.61091i | 0.245347 | − | 0.118153i | ||||
\(935\) | −0.296386 | + | 1.29855i | −0.00969285 | + | 0.0424671i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −21.6888 | − | 10.4448i | −0.708541 | − | 0.341216i | 0.0446629 | − | 0.999002i | \(-0.485779\pi\) |
−0.753204 | + | 0.657787i | \(0.771493\pi\) | |||||||
\(938\) | −51.5769 | − | 9.98226i | −1.68405 | − | 0.325932i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.64300 | − | 3.31422i | 0.0862052 | − | 0.108098i | ||||
\(941\) | 4.29691 | + | 2.06928i | 0.140075 | + | 0.0674567i | 0.502608 | − | 0.864514i | \(-0.332374\pi\) |
−0.362533 | + | 0.931971i | \(0.618088\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.0936777 | − | 0.410429i | −0.00305056 | − | 0.0133654i | ||||
\(944\) | 0.844817 | + | 1.05937i | 0.0274965 | + | 0.0344795i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.40123 | − | 8.02689i | 0.208122 | − | 0.260977i | ||||
\(947\) | 28.3835 | + | 13.6688i | 0.922340 | + | 0.444175i | 0.833906 | − | 0.551907i | \(-0.186100\pi\) |
0.0884337 | + | 0.996082i | \(0.471814\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.35919 | 0.173967 | ||||||||
\(950\) | −47.2605 | −1.53333 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 15.2042 | + | 2.94264i | 0.492772 | + | 0.0953716i | ||||
\(953\) | −5.03286 | + | 22.0504i | −0.163030 | + | 0.714283i | 0.825642 | + | 0.564194i | \(0.190813\pi\) |
−0.988673 | + | 0.150089i | \(0.952044\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.25083 | − | 2.82246i | 0.0728352 | − | 0.0913325i | ||||
\(956\) | −14.8282 | + | 18.5940i | −0.479578 | + | 0.601372i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −7.42718 | + | 32.5406i | −0.239961 | + | 1.05134i | ||||
\(959\) | −24.7303 | + | 6.51584i | −0.798582 | + | 0.210407i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −24.8260 | −0.800840 | ||||||||
\(962\) | −5.41562 | −0.174607 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 3.43274 | + | 1.65312i | 0.110561 | + | 0.0532434i | ||||
\(965\) | 2.36050 | − | 2.95998i | 0.0759873 | − | 0.0952850i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −25.1694 | − | 31.5614i | −0.809393 | − | 1.01495i | −0.999450 | − | 0.0331737i | \(-0.989439\pi\) |
0.190056 | − | 0.981773i | \(-0.439133\pi\) | |||||||
\(968\) | 1.76931 | + | 7.75184i | 0.0568677 | + | 0.249154i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.40090 | + | 2.60094i | 0.173412 | + | 0.0835110i | ||||
\(971\) | −23.0758 | + | 28.9361i | −0.740537 | + | 0.928604i | −0.999303 | − | 0.0373364i | \(-0.988113\pi\) |
0.258766 | + | 0.965940i | \(0.416684\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 21.0268 | − | 47.6497i | 0.674087 | − | 1.52758i | ||||
\(974\) | 21.8253 | + | 10.5105i | 0.699328 | + | 0.336778i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.11772 | + | 18.0409i | −0.131805 | + | 0.577475i | ||||
\(977\) | −34.7378 | + | 16.7288i | −1.11136 | + | 0.535203i | −0.897213 | − | 0.441598i | \(-0.854412\pi\) |
−0.214148 | + | 0.976801i | \(0.568697\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.84782 | −0.218857 | ||||||||
\(980\) | 3.68631 | − | 0.245294i | 0.117755 | − | 0.00783563i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 7.15512 | + | 8.97224i | 0.228329 | + | 0.286316i | ||||
\(983\) | 4.12278 | − | 1.98543i | 0.131496 | − | 0.0633252i | −0.366979 | − | 0.930229i | \(-0.619608\pi\) |
0.498475 | + | 0.866904i | \(0.333894\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.0745218 | + | 0.0358878i | −0.00237446 | + | 0.00114348i | ||||
\(986\) | 29.0589 | + | 13.9940i | 0.925425 | + | 0.445661i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.94207 | + | 1.89840i | −0.125414 | + | 0.0603962i | ||||
\(989\) | 1.29252 | − | 1.62077i | 0.0410997 | − | 0.0515374i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.71436 | + | 7.16558i | 0.181523 | + | 0.227622i | 0.864265 | − | 0.503037i | \(-0.167784\pi\) |
−0.682742 | + | 0.730659i | \(0.739213\pi\) | |||||||
\(992\) | −4.04260 | − | 17.7118i | −0.128353 | − | 0.562349i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 19.0658 | − | 43.2058i | 0.604730 | − | 1.37041i | ||||
\(995\) | −3.58663 | + | 4.49750i | −0.113704 | + | 0.142580i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.150867 | + | 0.660992i | 0.00477801 | + | 0.0209338i | 0.977261 | − | 0.212041i | \(-0.0680111\pi\) |
−0.972483 | + | 0.232975i | \(0.925154\pi\) | |||||||
\(998\) | −3.62682 | −0.114805 | ||||||||
\(999\) | 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 | 441.2.u.c.253.1 | 24 | ||
3.2 | odd | 2 | 147.2.i.a.106.4 | yes | 24 | ||
49.43 | even | 7 | inner | 441.2.u.c.190.1 | 24 | ||
147.71 | odd | 14 | 7203.2.a.a.1.11 | 12 | |||
147.92 | odd | 14 | 147.2.i.a.43.4 | ✓ | 24 | ||
147.125 | even | 14 | 7203.2.a.b.1.11 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.i.a.43.4 | ✓ | 24 | 147.92 | odd | 14 | ||
147.2.i.a.106.4 | yes | 24 | 3.2 | odd | 2 | ||
441.2.u.c.190.1 | 24 | 49.43 | even | 7 | inner | ||
441.2.u.c.253.1 | 24 | 1.1 | even | 1 | trivial | ||
7203.2.a.a.1.11 | 12 | 147.71 | odd | 14 | |||
7203.2.a.b.1.11 | 12 | 147.125 | even | 14 |