Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(49,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 12, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bq (of order \(30\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 49.3 | ||
Character | \(\chi\) | \(=\) | 572.49 |
Dual form | 572.2.bq.a.537.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.228377 | + | 2.17287i | −0.131854 | + | 1.25450i | 0.705843 | + | 0.708369i | \(0.250568\pi\) |
−0.837697 | + | 0.546136i | \(0.816098\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.96627 | − | 0.638880i | −0.879344 | − | 0.285716i | −0.165659 | − | 0.986183i | \(-0.552975\pi\) |
−0.713685 | + | 0.700467i | \(0.752975\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.214213 | − | 0.0225147i | 0.0809649 | − | 0.00850976i | −0.0639594 | − | 0.997953i | \(-0.520373\pi\) |
0.144924 | + | 0.989443i | \(0.453706\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.73475 | − | 0.368732i | −0.578249 | − | 0.122911i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.60415 | + | 2.05387i | −0.785181 | + | 0.619266i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.55220 | − | 0.617985i | −0.985202 | − | 0.171398i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.83725 | − | 4.12654i | 0.474377 | − | 1.06547i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.14172 | − | 3.48924i | −0.761980 | − | 0.846264i | 0.229930 | − | 0.973207i | \(-0.426150\pi\) |
−0.991910 | + | 0.126943i | \(0.959484\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.28304 | + | 2.88176i | 0.294350 | + | 0.661122i | 0.998818 | − | 0.0486147i | \(-0.0154806\pi\) |
−0.704467 | + | 0.709737i | \(0.748814\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.470598i | 0.102693i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.14916 | − | 5.45450i | −0.656644 | − | 1.13734i | −0.981479 | − | 0.191570i | \(-0.938642\pi\) |
0.324835 | − | 0.945771i | \(-0.394691\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.587028 | − | 0.426501i | −0.117406 | − | 0.0853002i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.828072 | + | 2.54854i | −0.159362 | + | 0.490467i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.874739 | + | 0.389459i | 0.162435 | + | 0.0723207i | 0.486344 | − | 0.873768i | \(-0.338330\pi\) |
−0.323909 | + | 0.946088i | \(0.604997\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.14922 | − | 0.373404i | 0.206406 | − | 0.0670654i | −0.203989 | − | 0.978973i | \(-0.565391\pi\) |
0.410395 | + | 0.911908i | \(0.365391\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.86806 | − | 6.12753i | −0.673343 | − | 1.06667i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.435585 | − | 0.0925865i | −0.0736273 | − | 0.0156500i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.25197 | + | 2.81197i | −0.205823 | + | 0.462286i | −0.986732 | − | 0.162359i | \(-0.948090\pi\) |
0.780909 | + | 0.624645i | \(0.214756\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.15404 | − | 7.57731i | 0.344922 | − | 1.21334i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.26163 | − | 0.447915i | −0.665554 | − | 0.0699526i | −0.234274 | − | 0.972171i | \(-0.575271\pi\) |
−0.431280 | + | 0.902218i | \(0.641938\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.22456 | − | 2.12100i | 0.186744 | − | 0.323449i | −0.757419 | − | 0.652929i | \(-0.773540\pi\) |
0.944163 | + | 0.329480i | \(0.106873\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.17541 | + | 1.83332i | 0.473362 | + | 0.273296i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.68927 | − | 5.07784i | 0.538135 | − | 0.740680i | −0.450208 | − | 0.892924i | \(-0.648650\pi\) |
0.988343 | + | 0.152244i | \(0.0486501\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.80165 | + | 1.44574i | −0.971665 | + | 0.206534i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 8.29914 | − | 6.02968i | 1.16211 | − | 0.844324i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.27940 | − | 3.93759i | −0.175739 | − | 0.540870i | 0.823927 | − | 0.566696i | \(-0.191779\pi\) |
−0.999666 | + | 0.0258257i | \(0.991779\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.43265 | − | 2.37473i | 0.867378 | − | 0.320209i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.55470 | + | 2.12975i | −0.868192 | + | 0.282093i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.807588 | − | 0.0848809i | 0.105139 | − | 0.0110505i | −0.0518129 | − | 0.998657i | \(-0.516500\pi\) |
0.156952 | + | 0.987606i | \(0.449833\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.94746 | + | 2.16287i | 0.249346 | + | 0.276927i | 0.854805 | − | 0.518950i | \(-0.173677\pi\) |
−0.605458 | + | 0.795877i | \(0.707010\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.379907 | − | 0.0399298i | −0.0478638 | − | 0.00503069i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 6.58976 | + | 3.48455i | 0.817360 | + | 0.432206i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.02583 | + | 4.05637i | −0.858342 | + | 0.495564i | −0.863457 | − | 0.504423i | \(-0.831705\pi\) |
0.00511480 | + | 0.999987i | \(0.498372\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 12.5711 | − | 5.59701i | 1.51338 | − | 0.673801i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.90772 | + | 8.02055i | −1.05715 | + | 0.951864i | −0.998921 | − | 0.0464395i | \(-0.985213\pi\) |
−0.0582306 | + | 0.998303i | \(0.518546\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.70946 | + | 11.9875i | 1.01937 | + | 1.40304i | 0.912648 | + | 0.408747i | \(0.134034\pi\) |
0.106718 | + | 0.994289i | \(0.465966\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.06079 | − | 1.17813i | 0.122490 | − | 0.136039i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.511601 | + | 0.498598i | −0.0583023 | + | 0.0568205i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.81378 | + | 5.58224i | 0.204066 | + | 0.628051i | 0.999750 | + | 0.0223392i | \(0.00711139\pi\) |
−0.795684 | + | 0.605711i | \(0.792889\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −10.2091 | − | 4.54536i | −1.13434 | − | 0.505040i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 8.54045 | + | 2.77496i | 0.937436 | + | 0.304591i | 0.737600 | − | 0.675238i | \(-0.235959\pi\) |
0.199836 | + | 0.979829i | \(0.435959\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.94828 | + | 8.86797i | 0.428251 | + | 0.961867i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.04601 | + | 1.81175i | −0.112144 | + | 0.194240i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −13.6365 | + | 7.87302i | −1.44546 | + | 0.834539i | −0.998206 | − | 0.0598665i | \(-0.980933\pi\) |
−0.447257 | + | 0.894405i | \(0.647599\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.774840 | − | 0.0524038i | −0.0812253 | − | 0.00549341i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.548901 | + | 2.58238i | 0.0569184 | + | 0.267780i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.681710 | − | 6.48604i | −0.0699420 | − | 0.665454i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.98727 | + | 9.34936i | −0.201777 | + | 0.949284i | 0.754382 | + | 0.656435i | \(0.227937\pi\) |
−0.956159 | + | 0.292849i | \(0.905397\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.27487 | − | 2.60272i | 0.530144 | − | 0.261583i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.0804 | + | 11.1954i | −1.00303 | + | 1.11398i | −0.00955647 | + | 0.999954i | \(0.503042\pi\) |
−0.993478 | + | 0.114028i | \(0.963625\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.93002 | − | 5.76150i | 0.781368 | − | 0.567697i | −0.124021 | − | 0.992280i | \(-0.539579\pi\) |
0.905389 | + | 0.424582i | \(0.139579\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.300656 | − | 0.925324i | 0.0293410 | − | 0.0903023i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.433830 | − | 4.12761i | 0.0419399 | − | 0.399031i | −0.953334 | − | 0.301919i | \(-0.902373\pi\) |
0.995273 | − | 0.0971122i | \(-0.0309606\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 0.584563i | − | 0.0559909i | −0.999608 | − | 0.0279955i | \(-0.991088\pi\) | ||
0.999608 | − | 0.0279955i | \(-0.00891240\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.82412 | − | 3.36256i | −0.552801 | − | 0.319160i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.96356 | − | 2.20992i | 0.466932 | − | 0.207892i | −0.159764 | − | 0.987155i | \(-0.551073\pi\) |
0.626696 | + | 0.779264i | \(0.284407\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.70732 | + | 12.7370i | 0.252459 | + | 1.18773i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 5.93429 | + | 2.38185i | 0.548625 | + | 0.220202i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.751557 | − | 0.676705i | −0.0688951 | − | 0.0620335i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.56321 | − | 10.6972i | 0.233019 | − | 0.972472i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.94652 | − | 9.15765i | 0.175512 | − | 0.825717i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.95789 | + | 9.57671i | 0.622332 | + | 0.856567i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.88501 | − | 1.03834i | 0.433475 | − | 0.0921379i | 0.0139940 | − | 0.999902i | \(-0.495545\pi\) |
0.419481 | + | 0.907764i | \(0.362212\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 4.32898 | + | 3.14519i | 0.381146 | + | 0.276919i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −14.6262 | −1.27790 | −0.638949 | − | 0.769249i | \(-0.720630\pi\) | ||||
−0.638949 | + | 0.769249i | \(0.720630\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.339727 | + | 0.588424i | 0.0294580 | + | 0.0510228i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.25643 | − | 4.48209i | 0.280269 | − | 0.385757i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.71667 | + | 7.84852i | −0.744715 | + | 0.670544i | −0.951433 | − | 0.307856i | \(-0.900388\pi\) |
0.206718 | + | 0.978401i | \(0.433722\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.21669 | + | 21.0904i | 0.188017 | + | 1.78887i | 0.528823 | + | 0.848732i | \(0.322634\pi\) |
−0.340806 | + | 0.940134i | \(0.610700\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.1909 | + | 9.17595i | 0.858231 | + | 0.772754i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 10.5197 | − | 5.68643i | 0.879703 | − | 0.475524i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.47116 | − | 1.32464i | −0.122173 | − | 0.110005i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.58805 | − | 15.1093i | −0.130980 | − | 1.24619i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.31303 | + | 5.68428i | −0.517183 | + | 0.465674i | −0.885906 | − | 0.463866i | \(-0.846462\pi\) |
0.368722 | + | 0.929540i | \(0.379795\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.83548 | + | 3.90271i | −0.230748 | + | 0.317598i | −0.908653 | − | 0.417552i | \(-0.862888\pi\) |
0.677905 | + | 0.735150i | \(0.262888\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.16350 | + | 7.21139i | 0.336599 | + | 0.583007i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.49824 | −0.200663 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.63395 | + | 1.91367i | 0.210212 | + | 0.152728i | 0.687909 | − | 0.725797i | \(-0.258529\pi\) |
−0.477698 | + | 0.878524i | \(0.658529\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 8.84805 | − | 1.88071i | 0.701696 | − | 0.149150i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.797396 | − | 1.09752i | −0.0628436 | − | 0.0864969i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.25989 | − | 15.3366i | 0.255334 | − | 1.20125i | −0.644357 | − | 0.764725i | \(-0.722875\pi\) |
0.899691 | − | 0.436527i | \(-0.143792\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.69090 | + | 14.5196i | 0.287336 | + | 1.13035i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 5.15982 | + | 4.64593i | 0.399279 | + | 0.359513i | 0.844173 | − | 0.536071i | \(-0.180092\pi\) |
−0.444894 | + | 0.895583i | \(0.646759\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.2362 | + | 4.39041i | 0.941245 | + | 0.337724i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.16316 | − | 5.47223i | −0.0889489 | − | 0.418472i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 16.6900 | − | 7.43088i | 1.26892 | − | 0.564960i | 0.341817 | − | 0.939767i | \(-0.388958\pi\) |
0.927103 | + | 0.374807i | \(0.122291\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.135352 | − | 0.0781453i | −0.0102316 | − | 0.00590723i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.77416i | 0.133354i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.29917 | − | 12.3608i | 0.0971046 | − | 0.923888i | −0.832176 | − | 0.554512i | \(-0.812905\pi\) |
0.929280 | − | 0.369376i | \(-0.120429\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.95237 | − | 18.3195i | 0.442436 | − | 1.36168i | −0.442835 | − | 0.896603i | \(-0.646027\pi\) |
0.885271 | − | 0.465075i | \(-0.153973\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.14438 | + | 3.73761i | −0.380284 | + | 0.276292i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 4.25823 | − | 4.72925i | 0.313071 | − | 0.347701i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 15.3480 | + | 2.63380i | 1.12236 | + | 0.192603i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.120004 | + | 0.564575i | −0.00872901 | + | 0.0410668i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.88876 | − | 17.9704i | −0.136666 | − | 1.30029i | −0.820918 | − | 0.571046i | \(-0.806538\pi\) |
0.684252 | − | 0.729246i | \(-0.260129\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.05196 | − | 9.65373i | −0.147704 | − | 0.694891i | −0.988212 | − | 0.153092i | \(-0.951077\pi\) |
0.840508 | − | 0.541799i | \(-0.182256\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −9.07642 | + | 13.5229i | −0.649976 | + | 0.968393i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 13.2502 | − | 7.65003i | 0.944041 | − | 0.545042i | 0.0528160 | − | 0.998604i | \(-0.483180\pi\) |
0.891225 | + | 0.453562i | \(0.149847\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.31325 | − | 5.73872i | 0.234870 | − | 0.406807i | −0.724365 | − | 0.689417i | \(-0.757867\pi\) |
0.959235 | + | 0.282610i | \(0.0912002\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.20940 | − | 16.1926i | −0.508512 | − | 1.14214i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.196149 | + | 0.0637327i | 0.0137670 | + | 0.00447316i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.09335 | + | 3.60339i | 0.565264 | + | 0.251672i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.45174 | + | 10.6234i | 0.239912 | + | 0.738375i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.26002 | − | 4.86934i | −0.640529 | − | 0.336819i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −17.2282 | + | 19.1339i | −1.18604 | + | 1.31723i | −0.248799 | + | 0.968555i | \(0.580036\pi\) |
−0.937243 | + | 0.348677i | \(0.886631\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −15.3932 | − | 21.1870i | −1.05473 | − | 1.45171i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.76288 | + | 3.38811i | −0.256626 | + | 0.231067i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.237771 | − | 0.105862i | 0.0161409 | − | 0.00718641i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −28.0364 | + | 16.1868i | −1.89452 | + | 1.09380i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 9.00372 | + | 14.3360i | 0.605656 | + | 0.964343i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.22435 | − | 0.654206i | −0.416813 | − | 0.0438088i | −0.106199 | − | 0.994345i | \(-0.533868\pi\) |
−0.310614 | + | 0.950536i | \(0.600535\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.861080 | + | 0.956326i | 0.0574053 | + | 0.0637551i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 12.5031 | − | 1.31413i | 0.829860 | − | 0.0872218i | 0.319934 | − | 0.947440i | \(-0.396339\pi\) |
0.509926 | + | 0.860218i | \(0.329673\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.88744 | + | 3.21262i | −0.653380 | + | 0.212296i | −0.616904 | − | 0.787038i | \(-0.711613\pi\) |
−0.0364763 | + | 0.999335i | \(0.511613\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.966549 | − | 1.22551i | −0.0635942 | − | 0.0806325i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.37768 | − | 7.31776i | −0.155767 | − | 0.479402i | 0.842471 | − | 0.538742i | \(-0.181100\pi\) |
−0.998238 | + | 0.0593402i | \(0.981100\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.4982 | + | 7.62742i | −0.684830 | + | 0.497558i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −12.5437 | + | 2.66624i | −0.814799 | + | 0.173191i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.9578 | − | 15.0822i | 0.708804 | − | 0.975584i | −0.291018 | − | 0.956717i | \(-0.593994\pi\) |
0.999822 | − | 0.0188670i | \(-0.00600590\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.41176 | − | 4.27918i | −0.477433 | − | 0.275646i | 0.241913 | − | 0.970298i | \(-0.422225\pi\) |
−0.719346 | + | 0.694652i | \(0.755558\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 8.18843 | − | 14.1828i | 0.525288 | − | 0.909826i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 14.2976 | + | 1.50273i | 0.913437 | + | 0.0960061i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.77674 | − | 11.0295i | −0.176680 | − | 0.701790i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −7.98006 | + | 17.9235i | −0.505716 | + | 1.13586i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −10.5811 | − | 2.24907i | −0.667870 | − | 0.141960i | −0.138515 | − | 0.990360i | \(-0.544233\pi\) |
−0.529355 | + | 0.848400i | \(0.677566\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 19.4037 | + | 7.73637i | 1.21990 | + | 0.486381i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −20.1706 | + | 6.55383i | −1.26313 | + | 0.410417i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −17.0590 | − | 7.59516i | −1.06411 | − | 0.473773i | −0.201421 | − | 0.979505i | \(-0.564556\pi\) |
−0.862691 | + | 0.505732i | \(0.831223\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.204878 | + | 0.630549i | −0.0127305 | + | 0.0391804i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.37384 | − | 0.998156i | −0.0850388 | − | 0.0617843i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 7.07115 | + | 12.2476i | 0.436026 | + | 0.755219i | 0.997379 | − | 0.0723577i | \(-0.0230523\pi\) |
−0.561353 | + | 0.827577i | \(0.689719\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.55977i | 0.525822i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −13.9928 | − | 31.4283i | −0.856343 | − | 1.92338i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −8.54114 | − | 9.48590i | −0.520763 | − | 0.578365i | 0.424190 | − | 0.905573i | \(-0.360559\pi\) |
−0.944952 | + | 0.327208i | \(0.893892\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.70380 | + | 3.82679i | −0.103498 | + | 0.232461i | −0.957870 | − | 0.287201i | \(-0.907275\pi\) |
0.854372 | + | 0.519662i | \(0.173942\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.290822 | − | 1.67166i | 0.0176014 | − | 0.101173i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.40469 | − | 0.0950084i | 0.145008 | − | 0.00572922i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −24.6696 | − | 5.24369i | −1.48225 | − | 0.315063i | −0.605439 | − | 0.795891i | \(-0.707003\pi\) |
−0.876815 | + | 0.480829i | \(0.840336\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.13129 | + | 0.224008i | −0.127597 | + | 0.0134110i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −8.51290 | − | 2.76601i | −0.507837 | − | 0.165006i | 0.0438812 | − | 0.999037i | \(-0.486028\pi\) |
−0.551718 | + | 0.834030i | \(0.686028\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.29630 | + | 21.8478i | −0.136501 | + | 1.29872i | 0.685014 | + | 0.728530i | \(0.259796\pi\) |
−0.821515 | + | 0.570187i | \(0.806871\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 14.2490 | 0.844037 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.922980 | −0.0544818 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.527367 | + | 5.01756i | −0.0310216 | + | 0.295151i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −19.8611 | − | 6.45325i | −1.16428 | − | 0.378296i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −23.7125 | + | 2.49229i | −1.38530 | + | 0.145601i | −0.767658 | − | 0.640859i | \(-0.778578\pi\) |
−0.617641 | + | 0.786460i | \(0.711912\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.64217 | − | 0.349053i | −0.0956106 | − | 0.0203227i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.07796 | − | 8.33755i | −0.178601 | − | 0.483794i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 7.81562 | + | 21.3216i | 0.451989 | + | 1.23306i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.214563 | − | 0.481916i | 0.0123672 | − | 0.0277772i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −22.0239 | − | 24.4601i | −1.26524 | − | 1.40519i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.44741 | − | 5.49698i | −0.140139 | − | 0.314756i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.4606i | 1.16775i | 0.811843 | + | 0.583875i | \(0.198464\pi\) | ||||
−0.811843 | + | 0.583875i | \(0.801536\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.7079 | + | 18.5467i | 0.609152 | + | 1.05508i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 10.2191 | + | 7.42463i | 0.579473 | + | 0.421012i | 0.838534 | − | 0.544849i | \(-0.183413\pi\) |
−0.259061 | + | 0.965861i | \(0.583413\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.78493 | − | 27.0372i | 0.496554 | − | 1.52823i | −0.317968 | − | 0.948101i | \(-0.603000\pi\) |
0.814521 | − | 0.580133i | \(-0.197000\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.721490 | + | 0.321228i | 0.0406514 | + | 0.0180992i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −6.33817 | + | 2.05940i | −0.355987 | + | 0.115667i | −0.481550 | − | 0.876418i | \(-0.659926\pi\) |
0.125563 | + | 0.992086i | \(0.459926\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.07785 | + | 0.782393i | −0.172327 | + | 0.0438056i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 8.86967 | + | 1.88531i | 0.495057 | + | 0.105228i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 6.02419 | − | 13.5305i | 0.335195 | − | 0.752860i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.82167 | + | 1.87779i | 0.101048 | + | 0.104161i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.27018 | + | 0.133501i | 0.0702409 | + | 0.00738261i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.675963 | − | 1.17080i | 0.0372671 | − | 0.0645485i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 24.9410 | + | 14.3997i | 1.37088 | + | 0.791479i | 0.991039 | − | 0.133573i | \(-0.0426450\pi\) |
0.379842 | + | 0.925051i | \(0.375978\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.20872 | − | 4.41642i | 0.175837 | − | 0.242018i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 16.4062 | − | 3.48725i | 0.896368 | − | 0.190529i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.20243 | − | 5.23287i | 0.392341 | − | 0.285053i | −0.374073 | − | 0.927399i | \(-0.622039\pi\) |
0.766414 | + | 0.642347i | \(0.222039\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.66829 | + | 11.2898i | 0.199234 | + | 0.613180i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.22582 | + | 3.33275i | −0.120535 | + | 0.180479i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.85841 | + | 0.928753i | −0.154340 | + | 0.0501480i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −28.2940 | + | 2.97382i | −1.52330 | + | 0.160105i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −16.4999 | − | 18.3250i | −0.885761 | − | 0.983738i | 0.114191 | − | 0.993459i | \(-0.463572\pi\) |
−0.999953 | + | 0.00972116i | \(0.996906\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −14.5353 | − | 1.52772i | −0.778055 | − | 0.0817769i | −0.292828 | − | 0.956165i | \(-0.594596\pi\) |
−0.485227 | + | 0.874388i | \(0.661263\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.51643 | − | 8.54119i | 0.241069 | − | 0.455895i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −22.0809 | + | 12.7484i | −1.17525 | + | 0.678531i | −0.954911 | − | 0.296893i | \(-0.904050\pi\) |
−0.220339 | + | 0.975423i | \(0.570716\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 22.6392 | − | 10.0796i | 1.20156 | − | 0.534970i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.64203 | − | 1.47849i | 0.0869053 | − | 0.0782499i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 11.4586 | + | 15.7714i | 0.604761 | + | 0.832382i | 0.996134 | − | 0.0878505i | \(-0.0279998\pi\) |
−0.391373 | + | 0.920232i | \(0.628000\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.05512 | − | 6.72490i | 0.318691 | − | 0.353942i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 22.6582 | + | 8.01251i | 1.18925 | + | 0.420548i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.46656 | − | 29.1351i | −0.495503 | − | 1.52500i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 15.0458 | + | 6.69881i | 0.785383 | + | 0.349675i | 0.759933 | − | 0.650001i | \(-0.225232\pi\) |
0.0254499 | + | 0.999676i | \(0.491898\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 7.22768 | + | 2.34841i | 0.376258 | + | 0.122254i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.362718 | − | 0.814679i | −0.0188314 | − | 0.0422960i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.3712 | − | 26.6238i | 0.795892 | − | 1.37853i | −0.126379 | − | 0.991982i | \(-0.540335\pi\) |
0.922271 | − | 0.386544i | \(-0.126331\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −22.3979 | + | 12.9315i | −1.15662 | + | 0.667777i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.86656 | − | 1.92401i | −0.147636 | − | 0.0990915i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.828625 | + | 3.89837i | 0.0425636 | + | 0.200246i | 0.994292 | − | 0.106697i | \(-0.0340274\pi\) |
−0.951728 | + | 0.306943i | \(0.900694\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.14055 | + | 10.8516i | 0.0584322 | + | 0.555945i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 3.48240 | − | 16.3834i | 0.177943 | − | 0.837154i | −0.795091 | − | 0.606490i | \(-0.792577\pi\) |
0.973034 | − | 0.230664i | \(-0.0740897\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.32449 | − | 0.653528i | 0.0675023 | − | 0.0333069i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.90638 | + | 3.22786i | −0.147740 | + | 0.164081i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −18.0210 | + | 13.0930i | −0.913699 | + | 0.663841i | −0.941948 | − | 0.335760i | \(-0.891007\pi\) |
0.0282489 | + | 0.999601i | \(0.491007\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.13826 | + | 28.1247i | −0.462142 | + | 1.42233i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.34030 | − | 31.7808i | 0.168496 | − | 1.60313i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | − | 12.1350i | − | 0.610577i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.48520 | + | 4.32158i | 0.375671 | + | 0.216894i | 0.675933 | − | 0.736963i | \(-0.263741\pi\) |
−0.300262 | + | 0.953857i | \(0.597074\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.35615 | + | 0.603798i | −0.0678925 | + | 0.0302277i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.95020 | − | 23.2889i | −0.247201 | − | 1.16299i | −0.910135 | − | 0.414312i | \(-0.864022\pi\) |
0.662934 | − | 0.748678i | \(-0.269311\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.31301 | + | 0.616204i | −0.214846 | + | 0.0306953i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 17.1698 | + | 15.4598i | 0.853176 | + | 0.768203i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.51511 | − | 9.89420i | −0.124670 | − | 0.490437i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.41574 | − | 30.1837i | 0.317238 | − | 1.49249i | −0.473753 | − | 0.880658i | \(-0.657101\pi\) |
0.790990 | − | 0.611829i | \(-0.209566\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −15.0631 | − | 20.7326i | −0.743008 | − | 1.02266i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.171085 | − | 0.0363652i | 0.00841853 | − | 0.00178941i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −15.0200 | − | 10.9127i | −0.737302 | − | 0.535681i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −46.3329 | −2.26893 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.8114 | + | 22.1899i | 0.625876 | + | 1.08405i | 0.988371 | + | 0.152064i | \(0.0485918\pi\) |
−0.362494 | + | 0.931986i | \(0.618075\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.8422 | − | 17.6758i | 0.625892 | − | 0.861466i | −0.371874 | − | 0.928283i | \(-0.621285\pi\) |
0.997765 | + | 0.0668176i | \(0.0212846\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −8.27231 | + | 7.44842i | −0.402213 | + | 0.362154i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.356117 | + | 3.38823i | 0.0172742 | + | 0.164353i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.465867 | + | 0.419469i | 0.0225449 | + | 0.0202995i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 9.95339 | + | 24.1566i | 0.480554 | + | 1.16629i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.0743 | − | 12.6726i | −0.677936 | − | 0.610417i | 0.256501 | − | 0.966544i | \(-0.417430\pi\) |
−0.934437 | + | 0.356127i | \(0.884097\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.862143 | + | 8.20274i | 0.0414319 | + | 0.394199i | 0.995511 | + | 0.0946442i | \(0.0301713\pi\) |
−0.954079 | + | 0.299554i | \(0.903162\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.21423 | − | 2.89411i | 0.154111 | − | 0.138762i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 11.6781 | − | 16.0735i | 0.558638 | − | 0.768899i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 18.6127 | + | 32.2381i | 0.888335 | + | 1.53864i | 0.841843 | + | 0.539722i | \(0.181471\pi\) |
0.0464914 | + | 0.998919i | \(0.485196\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 12.3322 | 0.587249 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 13.3791 | + | 9.72045i | 0.635658 | + | 0.461833i | 0.858356 | − | 0.513055i | \(-0.171486\pi\) |
−0.222698 | + | 0.974888i | \(0.571486\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 31.8429 | − | 6.76843i | 1.50950 | − | 0.320854i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −10.9094 | − | 15.0155i | −0.515998 | − | 0.710210i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 1.98423 | − | 9.33509i | 0.0936418 | − | 0.440550i | −0.906201 | − | 0.422846i | \(-0.861031\pi\) |
0.999843 | − | 0.0177039i | \(-0.00563561\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.0179 | − | 7.58640i | 0.565900 | − | 0.357230i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −7.83250 | − | 7.05241i | −0.368003 | − | 0.331351i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.49007 | + | 0.598070i | 0.0698554 | + | 0.0280380i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.75610 | + | 41.1942i | 0.409593 | + | 1.92698i | 0.373487 | + | 0.927636i | \(0.378162\pi\) |
0.0361065 | + | 0.999348i | \(0.488504\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 11.4940 | − | 5.11748i | 0.536496 | − | 0.238863i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 8.56300 | + | 4.94385i | 0.398819 | + | 0.230258i | 0.685974 | − | 0.727626i | \(-0.259376\pi\) |
−0.287155 | + | 0.957884i | \(0.592710\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 18.0734i | − | 0.839944i | −0.907537 | − | 0.419972i | \(-0.862040\pi\) | ||
0.907537 | − | 0.419972i | \(-0.137960\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.570541 | − | 5.42834i | 0.0264582 | − | 0.251733i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −3.32979 | + | 10.2480i | −0.154084 | + | 0.474222i | −0.998067 | − | 0.0621480i | \(-0.980205\pi\) |
0.843983 | + | 0.536370i | \(0.180205\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.41370 | + | 1.02711i | −0.0652785 | + | 0.0474276i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.75969 | + | 5.28617i | −0.219315 | + | 0.243574i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.16733 | + | 8.03849i | 0.0536737 | + | 0.369610i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.475892 | − | 2.23890i | 0.0218354 | − | 0.102728i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.767522 | + | 7.30248i | 0.0351424 | + | 0.334358i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3.51879 | + | 16.5546i | 0.160778 | + | 0.756400i | 0.982463 | + | 0.186458i | \(0.0597009\pi\) |
−0.821685 | + | 0.569942i | \(0.806966\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.18501 | − | 9.21498i | 0.282012 | − | 0.420167i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.56688 | − | 1.48199i | 0.116797 | − | 0.0674327i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 9.88064 | − | 17.1138i | 0.448657 | − | 0.777096i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.19878 | + | 7.18458i | 0.144951 | + | 0.325564i | 0.971401 | − | 0.237445i | \(-0.0763100\pi\) |
−0.826450 | + | 0.563010i | \(0.809643\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 32.5798 | + | 10.5858i | 1.47331 | + | 0.478707i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 24.5903 | + | 10.9483i | 1.10975 | + | 0.494091i | 0.877988 | − | 0.478682i | \(-0.158885\pi\) |
0.231759 | + | 0.972773i | \(0.425552\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.38927 | − | 4.27574i | −0.0625697 | − | 0.192570i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −12.0347 | + | 1.74764i | −0.540917 | + | 0.0785504i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.72757 | + | 1.91866i | −0.0774921 | + | 0.0860637i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −22.2023 | − | 30.5588i | −0.993912 | − | 1.36800i | −0.928987 | − | 0.370112i | \(-0.879319\pi\) |
−0.0649243 | − | 0.997890i | \(-0.520681\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −11.2734 | + | 10.1506i | −0.503657 | + | 0.453494i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −16.4832 | + | 7.33881i | −0.734951 | + | 0.327221i | −0.739855 | − | 0.672767i | \(-0.765106\pi\) |
0.00490373 | + | 0.999988i | \(0.498439\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 26.9733 | − | 15.5730i | 1.20029 | − | 0.692990i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −12.3342 | + | 25.5849i | −0.547782 | + | 1.13627i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −14.2783 | − | 1.50071i | −0.632876 | − | 0.0665180i | −0.217342 | − | 0.976096i | \(-0.569739\pi\) |
−0.415534 | + | 0.909578i | \(0.636405\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.13558 | + | 2.37180i | 0.0944723 | + | 0.104922i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −8.40675 | + | 0.883585i | −0.371167 | + | 0.0390112i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −19.2735 | + | 6.26234i | −0.849291 | + | 0.275951i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.821831 | + | 20.8008i | 0.0361441 | + | 0.914817i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 12.3347 | + | 37.9622i | 0.541432 | + | 1.66636i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.3672 | + | 7.53218i | −0.454194 | + | 0.329991i | −0.791249 | − | 0.611494i | \(-0.790569\pi\) |
0.337056 | + | 0.941485i | \(0.390569\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.2098 | + | 2.38271i | −0.490169 | + | 0.104189i | −0.446364 | − | 0.894851i | \(-0.647281\pi\) |
−0.0438052 | + | 0.999040i | \(0.513948\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.200710 | − | 0.276254i | 0.00875972 | − | 0.0120567i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −4.91343 | − | 2.83677i | −0.214032 | − | 0.123572i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.33436 | + | 14.4355i | −0.362363 | + | 0.627632i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.43226 | − | 0.150536i | −0.0621547 | − | 0.00653272i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 14.8613 | + | 4.22470i | 0.643715 | + | 0.182992i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.49008 | + | 7.83884i | −0.150889 | + | 0.338903i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 26.5616 | + | 5.64585i | 1.14622 | + | 0.243636i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 14.7432 | − | 17.7346i | 0.635034 | − | 0.763885i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.58844 | + | 2.79055i | −0.369246 | + | 0.119975i | −0.487761 | − | 0.872977i | \(-0.662186\pi\) |
0.118516 | + | 0.992952i | \(0.462186\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 38.4464 | + | 17.1175i | 1.64989 | + | 0.734580i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.373466 | + | 1.14941i | −0.0159975 | + | 0.0492353i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.275694 | − | 0.200303i | −0.0117878 | − | 0.00856435i | 0.581876 | − | 0.813278i | \(-0.302319\pi\) |
−0.593664 | + | 0.804713i | \(0.702319\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.58082 | − | 4.47012i | −0.110147 | − | 0.190780i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.02048i | 0.128677i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.514217 | + | 1.15495i | 0.0218667 | + | 0.0491135i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 9.30353 | + | 10.3326i | 0.394913 | + | 0.438595i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4.46111 | − | 10.0198i | 0.189023 | − | 0.424553i | −0.794029 | − | 0.607880i | \(-0.792020\pi\) |
0.983052 | + | 0.183327i | \(0.0586867\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.66062 | + | 6.77745i | −0.239419 | + | 0.286655i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.22803 | + | 32.7476i | −0.389608 | + | 1.38260i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 10.6624 | + | 2.26636i | 0.449365 | + | 0.0955156i | 0.427035 | − | 0.904235i | \(-0.359558\pi\) |
0.0223304 | + | 0.999751i | \(0.492891\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.1716 | + | 1.17418i | −0.469992 | + | 0.0493981i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.28925 | − | 0.743822i | −0.0961394 | − | 0.0312376i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.84012 | − | 17.5075i | 0.0771417 | − | 0.733954i | −0.885768 | − | 0.464129i | \(-0.846367\pi\) |
0.962909 | − | 0.269825i | \(-0.0869659\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.3911 | −0.853339 | −0.426670 | − | 0.904408i | \(-0.640313\pi\) | ||||
−0.426670 | + | 0.904408i | \(0.640313\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 39.4786 | 1.64924 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.477705 | + | 4.54506i | −0.0199217 | + | 0.189542i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −25.8649 | − | 8.40400i | −1.07677 | − | 0.349863i | −0.283648 | − | 0.958928i | \(-0.591545\pi\) |
−0.793120 | + | 0.609065i | \(0.791545\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 21.4449 | − | 2.25395i | 0.891219 | − | 0.0936709i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.89195 | + | 0.402147i | 0.0784914 | + | 0.0166839i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.4191 | + | 7.62636i | 0.472930 | + | 0.315852i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −10.1467 | − | 8.47467i | −0.419514 | − | 0.350385i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 10.2237 | − | 22.9628i | 0.421977 | − | 0.947776i | −0.570033 | − | 0.821621i | \(-0.693070\pi\) |
0.992011 | − | 0.126155i | \(-0.0402636\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.55056 | + | 2.83269i | 0.105094 | + | 0.116719i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 13.5964 | + | 30.5381i | 0.559283 | + | 1.25617i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 19.1843i | 0.787803i | 0.919153 | + | 0.393901i | \(0.128875\pi\) | ||||
−0.919153 | + | 0.393901i | \(0.871125\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.04543 | + | 1.81074i | 0.0428585 | + | 0.0742332i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 11.7128 | + | 8.50984i | 0.479373 | + | 0.348285i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −12.5142 | + | 38.5148i | −0.511318 | + | 1.57367i | 0.278566 | + | 0.960417i | \(0.410141\pi\) |
−0.789884 | + | 0.613257i | \(0.789859\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.5346 | + | 7.80689i | 0.715249 | + | 0.318450i | 0.731900 | − | 0.681412i | \(-0.238634\pi\) |
−0.0166508 | + | 0.999861i | \(0.505300\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 13.6837 | − | 4.44612i | 0.557245 | − | 0.181060i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −11.8742 | + | 19.3960i | −0.482755 | + | 0.788560i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.49204 | + | 1.16737i | 0.222915 | + | 0.0473821i | 0.318015 | − | 0.948086i | \(-0.396984\pi\) |
−0.0950999 | + | 0.995468i | \(0.530317\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.183279 | + | 0.411650i | −0.00742682 | + | 0.0166809i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −16.2430 | + | 15.7576i | −0.657123 | + | 0.637483i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −28.6966 | − | 3.01613i | −1.15904 | − | 0.121820i | −0.494574 | − | 0.869136i | \(-0.664676\pi\) |
−0.664470 | + | 0.747315i | \(0.731342\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −9.67802 | + | 16.7628i | −0.390256 | + | 0.675943i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 38.6065 | + | 22.2895i | 1.55424 | + | 0.897341i | 0.997789 | + | 0.0664604i | \(0.0211706\pi\) |
0.556451 | + | 0.830880i | \(0.312163\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.499541 | + | 0.687559i | −0.0200783 | + | 0.0276353i | −0.818938 | − | 0.573882i | \(-0.805437\pi\) |
0.798860 | + | 0.601517i | \(0.205437\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 16.5087 | − | 3.50904i | 0.662473 | − | 0.140813i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −2.74385 | + | 1.99353i | −0.109930 | + | 0.0798689i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.44160 | − | 19.8252i | −0.257664 | − | 0.793008i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 12.6952 | − | 19.0087i | 0.506997 | − | 0.759135i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 13.7450 | − | 4.46602i | 0.548049 | − | 0.178072i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −24.0708 | + | 2.52995i | −0.958245 | + | 0.100716i | −0.570721 | − | 0.821144i | \(-0.693336\pi\) |
−0.387524 | + | 0.921860i | \(0.626670\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −37.6409 | − | 41.8044i | −1.49609 | − | 1.66158i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −10.2686 | − | 1.07928i | −0.407499 | − | 0.0428298i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 25.0542 | − | 0.932219i | 0.992685 | − | 0.0369359i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 18.4101 | − | 10.6291i | 0.728291 | − | 0.420479i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 12.3791 | − | 5.51154i | 0.488946 | − | 0.217693i | −0.147429 | − | 0.989073i | \(-0.547100\pi\) |
0.636375 | + | 0.771380i | \(0.280433\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −32.2152 | + | 29.0067i | −1.27044 | + | 1.14391i | −0.287943 | + | 0.957647i | \(0.592971\pi\) |
−0.982500 | + | 0.186264i | \(0.940362\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.50256 | − | 8.95000i | −0.256038 | − | 0.352406i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 28.2189 | − | 31.3402i | 1.10940 | − | 1.23211i | 0.139079 | − | 0.990281i | \(-0.455586\pi\) |
0.970319 | − | 0.241829i | \(-0.0777475\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.92875 | + | 1.87973i | −0.0757099 | + | 0.0737857i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.175723 | + | 0.540821i | 0.00688714 | + | 0.0211964i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −28.6767 | − | 12.7677i | −1.12220 | − | 0.499638i | −0.240127 | − | 0.970741i | \(-0.577189\pi\) |
−0.882078 | + | 0.471104i | \(0.843856\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 28.7591 | + | 9.34440i | 1.12371 | + | 0.365116i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −10.6885 | − | 24.0068i | −0.416999 | − | 0.936595i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.38651 | − | 4.13356i | 0.0929653 | − | 0.161021i | −0.815792 | − | 0.578345i | \(-0.803699\pi\) |
0.908758 | + | 0.417324i | \(0.137032\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 24.4782 | − | 14.1325i | 0.952090 | − | 0.549690i | 0.0583608 | − | 0.998296i | \(-0.481413\pi\) |
0.893730 | + | 0.448606i | \(0.148079\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −33.2064 | + | 16.2899i | −1.28963 | + | 0.632646i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.292063 | − | 1.37405i | −0.0113257 | − | 0.0532832i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.630387 | − | 5.99773i | −0.0244087 | − | 0.232233i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.84300 | − | 13.3753i | 0.109917 | − | 0.517118i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.51373 | − | 1.63261i | −0.367274 | − | 0.0630263i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.00264 | + | 1.11355i | −0.0386490 | + | 0.0429241i | −0.762159 | − | 0.647389i | \(-0.775861\pi\) |
0.723510 | + | 0.690314i | \(0.242527\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.57306 | − | 1.14289i | 0.0605470 | − | 0.0439900i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −9.62285 | + | 29.6161i | −0.369836 | + | 1.13824i | 0.577061 | + | 0.816701i | \(0.304200\pi\) |
−0.946897 | + | 0.321537i | \(0.895800\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.215201 | + | 2.04750i | −0.00825865 | + | 0.0785758i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 27.4677i | 1.05256i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −22.2923 | − | 12.8705i | −0.852992 | − | 0.492475i | 0.00866729 | − | 0.999962i | \(-0.497241\pi\) |
−0.861659 | + | 0.507487i | \(0.830574\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 22.1536 | − | 9.86342i | 0.846446 | − | 0.376862i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −4.72253 | − | 22.2178i | −0.180176 | − | 0.847661i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.11131 | + | 14.7778i | 0.0804346 | + | 0.562988i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.9580 | − | 17.9702i | −0.759236 | − | 0.683619i | 0.195623 | − | 0.980679i | \(-0.437327\pi\) |
−0.954859 | + | 0.297060i | \(0.903994\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.07135 | − | 0.676298i | 0.0406971 | − | 0.0256904i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 9.11564 | − | 42.8857i | 0.345776 | − | 1.62675i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 11.8260 | + | 16.2770i | 0.447940 | + | 0.616537i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 16.4435 | − | 3.49518i | 0.621951 | − | 0.132200i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −20.8123 | − | 15.1210i | −0.786069 | − | 0.571112i | 0.120726 | − | 0.992686i | \(-0.461478\pi\) |
−0.906794 | + | 0.421574i | \(0.861478\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −9.70978 | −0.366211 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −14.1758 | − | 24.5532i | −0.533891 | − | 0.924727i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.90729 | + | 2.62515i | −0.0717309 | + | 0.0987290i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.67842 | − | 3.31207i | 0.138146 | − | 0.124387i | −0.597161 | − | 0.802121i | \(-0.703705\pi\) |
0.735307 | + | 0.677734i | \(0.237038\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.08810 | − | 10.3526i | −0.0408069 | − | 0.388251i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −5.65580 | − | 5.09251i | −0.211812 | − | 0.190716i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −24.3176 | + | 4.46023i | −0.909426 | + | 0.166803i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 30.2690 | + | 27.2543i | 1.13042 | + | 1.01783i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.60868 | + | 24.8200i | 0.0972875 | + | 0.925629i | 0.928915 | + | 0.370294i | \(0.120743\pi\) |
−0.831627 | + | 0.555335i | \(0.812590\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.56900 | − | 1.41273i | 0.0584325 | − | 0.0526128i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 10.9908 | − | 15.1275i | 0.408751 | − | 0.562597i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.347392 | − | 0.601700i | −0.0129018 | − | 0.0223466i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −44.9405 | −1.66675 | −0.833375 | − | 0.552709i | \(-0.813594\pi\) | ||||
−0.833375 | + | 0.552709i | \(0.813594\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.82445 | + | 1.32554i | 0.0675723 | + | 0.0490941i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −11.2479 | + | 2.39081i | −0.416018 | + | 0.0884275i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.5586 | − | 24.1673i | −0.648541 | − | 0.892641i | 0.350494 | − | 0.936565i | \(-0.386014\pi\) |
−0.999035 | + | 0.0439246i | \(0.986014\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −6.53047 | + | 30.7235i | −0.240880 | + | 1.13325i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 9.96507 | − | 24.9936i | 0.367068 | − | 0.920649i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.8088 | + | 16.0351i | 0.655106 | + | 0.589860i | 0.928179 | − | 0.372133i | \(-0.121374\pi\) |
−0.273073 | + | 0.961993i | \(0.588040\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 24.5997 | − | 3.51459i | 0.903694 | − | 0.129112i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.22980 | − | 19.8996i | −0.155176 | − | 0.730046i | −0.985074 | − | 0.172131i | \(-0.944935\pi\) |
0.829898 | − | 0.557915i | \(-0.188399\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 16.0447 | − | 7.14356i | 0.587832 | − | 0.261720i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −13.7923 | − | 7.96299i | −0.504634 | − | 0.291350i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 0.893956i | − | 0.0326644i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.03681 | − | 28.8933i | 0.110815 | − | 1.05433i | −0.787902 | − | 0.615801i | \(-0.788833\pi\) |
0.898716 | − | 0.438530i | \(-0.144501\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 7.30341 | − | 22.4776i | 0.266151 | − | 0.819128i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.06869 | − | 5.86225i | 0.293650 | − | 0.213349i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.2597 | + | 22.5007i | −0.736353 | + | 0.817803i | −0.988712 | − | 0.149831i | \(-0.952127\pi\) |
0.252359 | + | 0.967634i | \(0.418794\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −21.2415 | + | 40.3949i | −0.771016 | + | 1.46624i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 0.898128 | − | 4.22536i | 0.0325571 | − | 0.153169i | −0.958866 | − | 0.283858i | \(-0.908386\pi\) |
0.991423 | + | 0.130689i | \(0.0417189\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.0131612 | − | 0.125221i | −0.000476469 | − | 0.00453330i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.57935 | − | 16.8395i | −0.129412 | − | 0.608835i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.92116 | − | 0.197563i | −0.105477 | − | 0.00713360i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.429491 | − | 0.247967i | 0.0154879 | − | 0.00894192i | −0.492236 | − | 0.870462i | \(-0.663820\pi\) |
0.507724 | + | 0.861520i | \(0.330487\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 20.3992 | − | 35.3324i | 0.734658 | − | 1.27246i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 13.4898 | + | 30.2986i | 0.485195 | + | 1.08977i | 0.975856 | + | 0.218415i | \(0.0700887\pi\) |
−0.490661 | + | 0.871351i | \(0.663245\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.833882 | − | 0.270945i | −0.0299539 | − | 0.00973262i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.32331 | − | 0.589175i | −0.0474735 | − | 0.0211365i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −4.17707 | − | 12.8557i | −0.149659 | − | 0.460603i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.72386 | − | 39.1820i | 0.240599 | − | 1.40204i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.71690 | + | 1.90681i | −0.0613570 | + | 0.0681438i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −3.95644 | − | 5.44558i | −0.141212 | − | 0.194361i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 35.1060 | − | 31.6096i | 1.25139 | − | 1.12676i | 0.264671 | − | 0.964339i | \(-0.414737\pi\) |
0.986722 | − | 0.162420i | \(-0.0519299\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −28.2273 | + | 12.5676i | −1.00492 | + | 0.447418i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.01350 | − | 0.585146i | 0.0360360 | − | 0.0208054i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.58113 | − | 8.88644i | −0.198192 | − | 0.315567i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −18.5992 | − | 1.95486i | −0.659646 | − | 0.0693316i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 34.2092 | + | 37.9932i | 1.21175 | + | 1.34579i | 0.921278 | + | 0.388905i | \(0.127146\pi\) |
0.290475 | + | 0.956883i | \(0.406187\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −29.3085 | + | 3.08044i | −1.03686 | + | 0.108978i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 26.5589 | − | 8.62950i | 0.938411 | − | 0.304908i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −47.3017 | − | 13.3293i | −1.66924 | − | 0.470379i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.866713 | + | 2.66747i | 0.0305476 | + | 0.0940159i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 22.5622 | − | 16.3924i | 0.794226 | − | 0.577039i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 32.0415 | − | 6.81064i | 1.12652 | − | 0.239449i | 0.393280 | − | 0.919419i | \(-0.371340\pi\) |
0.733240 | + | 0.679970i | \(0.238007\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.64333 | + | 3.63824i | −0.0928200 | + | 0.127756i | −0.852901 | − | 0.522072i | \(-0.825159\pi\) |
0.760081 | + | 0.649828i | \(0.225159\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −7.92599 | − | 4.57607i | −0.277976 | − | 0.160490i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −16.2081 | + | 28.0732i | −0.567743 | + | 0.983360i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.68338 | + | 0.807556i | 0.268807 | + | 0.0282528i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.32483 | + | 0.376615i | 0.0462932 | + | 0.0131600i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 1.40040 | − | 3.14534i | 0.0488742 | − | 0.109773i | −0.887458 | − | 0.460889i | \(-0.847531\pi\) |
0.936332 | + | 0.351115i | \(0.114197\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −39.9231 | − | 8.48591i | −1.39163 | − | 0.295800i | −0.549689 | − | 0.835369i | \(-0.685254\pi\) |
−0.841941 | + | 0.539569i | \(0.818587\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.342736 | + | 5.24676i | −0.0119325 | + | 0.182669i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −40.7562 | + | 13.2425i | −1.41723 | + | 0.460487i | −0.914722 | − | 0.404084i | \(-0.867590\pi\) |
−0.502511 | + | 0.864571i | \(0.667590\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.52264 | + | 2.90407i | 0.226541 | + | 0.100862i | 0.516868 | − | 0.856065i | \(-0.327098\pi\) |
−0.290328 | + | 0.956927i | \(0.593764\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 17.0278 | − | 52.4062i | 0.590688 | − | 1.81795i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 26.4134 | + | 19.1905i | 0.915171 | + | 0.664911i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −7.17743 | − | 12.4317i | −0.248385 | − | 0.430216i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 3.23804i | 0.111923i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 21.3721 | + | 48.0025i | 0.737846 | + | 1.65723i | 0.753582 | + | 0.657354i | \(0.228324\pi\) |
−0.0157356 | + | 0.999876i | \(0.505009\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −18.7913 | − | 20.8699i | −0.647976 | − | 0.719650i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 7.95432 | − | 17.8657i | 0.273961 | − | 0.615327i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −21.2547 | − | 16.4502i | −0.731185 | − | 0.565904i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.308229 | − | 2.34919i | 0.0105909 | − | 0.0807191i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −46.9479 | − | 9.97909i | −1.61125 | − | 0.342481i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 19.2806 | − | 2.02647i | 0.660929 | − | 0.0694664i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.43928 | − | 2.74209i | −0.288955 | − | 0.0938873i | 0.160953 | − | 0.986962i | \(-0.448543\pi\) |
−0.449908 | + | 0.893075i | \(0.648543\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.20901 | + | 11.5030i | −0.0413474 | + | 0.393394i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 35.1714 | 1.20143 | 0.600715 | − | 0.799463i | \(-0.294883\pi\) | ||||
0.600715 | + | 0.799463i | \(0.294883\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −43.6032 | −1.48772 | −0.743861 | − | 0.668335i | \(-0.767007\pi\) | ||||
−0.743861 | + | 0.668335i | \(0.767007\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.210788 | − | 2.00551i | 0.00718363 | − | 0.0683477i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −39.6363 | − | 12.8786i | −1.34924 | − | 0.438393i | −0.456801 | − | 0.889569i | \(-0.651005\pi\) |
−0.892435 | + | 0.451176i | \(0.851005\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −37.5646 | + | 3.94820i | −1.27723 | + | 0.134243i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −10.7821 | − | 2.29180i | −0.366178 | − | 0.0778335i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −16.1886 | − | 10.8117i | −0.549159 | − | 0.366762i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 27.4639 | − | 10.0671i | 0.930579 | − | 0.341112i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 6.89481 | − | 15.4860i | 0.233354 | − | 0.524122i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1.70609 | + | 1.89480i | 0.0576763 | + | 0.0640560i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 19.1089 | + | 42.9193i | 0.645261 | + | 1.44928i | 0.878923 | + | 0.476963i | \(0.158262\pi\) |
−0.233662 | + | 0.972318i | \(0.575071\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 52.0933i | − | 1.75706i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −7.39032 | − | 12.8004i | −0.248986 | − | 0.431257i | 0.714259 | − | 0.699882i | \(-0.246764\pi\) |
−0.963245 | + | 0.268625i | \(0.913431\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 18.1323 | + | 13.1739i | 0.610200 | + | 0.443336i | 0.849485 | − | 0.527613i | \(-0.176913\pi\) |
−0.239285 | + | 0.970949i | \(0.576913\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.13348 | − | 3.48849i | 0.0381015 | − | 0.117264i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 28.6818 | + | 12.7699i | 0.963040 | + | 0.428773i | 0.827169 | − | 0.561954i | \(-0.189950\pi\) |
0.135871 | + | 0.990727i | \(0.456617\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.02306 | − | 0.332411i | 0.0343122 | − | 0.0111487i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 35.9215 | − | 9.13128i | 1.20342 | − | 0.305910i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 19.3666 | + | 4.11651i | 0.648080 | + | 0.137754i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.4516 | + | 23.4746i | −0.349358 | + | 0.784671i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −48.1138 | + | 12.1129i | −1.60647 | + | 0.404439i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.15069 | + | 0.120943i | 0.0383778 | + | 0.00403366i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −9.71967 | + | 16.8350i | −0.323809 | + | 0.560854i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.998138 | + | 0.576275i | 0.0332160 | + | 0.0191772i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −23.4079 | + | 32.2183i | −0.778106 | + | 1.07097i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.78079 | + | 0.803631i | −0.125539 | + | 0.0266841i | −0.270253 | − | 0.962789i | \(-0.587107\pi\) |
0.144714 | + | 0.989474i | \(0.453774\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 21.6150 | − | 15.7042i | 0.716923 | − | 0.520875i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 8.80623 | + | 27.1028i | 0.291763 | + | 0.897955i | 0.984289 | + | 0.176562i | \(0.0564977\pi\) |
−0.692526 | + | 0.721393i | \(0.743502\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −27.9400 | + | 10.3146i | −0.924680 | + | 0.341363i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 12.5031 | − | 4.06252i | 0.413341 | − | 0.134303i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −3.13312 | + | 0.329305i | −0.103465 | + | 0.0108746i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 35.0013 | + | 38.8729i | 1.15459 | + | 1.28230i | 0.953049 | + | 0.302817i | \(0.0979272\pi\) |
0.201538 | + | 0.979481i | \(0.435406\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −44.4582 | − | 4.67275i | −1.46495 | − | 0.153972i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 36.5985 | − | 22.9857i | 1.20466 | − | 0.756584i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.93425 | − | 1.11674i | 0.0635978 | − | 0.0367182i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −15.8810 | + | 7.07069i | −0.521601 | + | 0.232232i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −33.6318 | + | 30.2822i | −1.10342 | + | 0.993528i | −0.999999 | − | 0.00110966i | \(-0.999647\pi\) |
−0.103425 | + | 0.994637i | \(0.532980\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.8931 | − | 17.7458i | −0.422554 | − | 0.581595i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −18.4665 | + | 20.5092i | −0.604567 | + | 0.671440i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −28.4956 | − | 14.9843i | −0.931906 | − | 0.490039i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.07826 | − | 6.39622i | −0.0678937 | − | 0.208955i | 0.911354 | − | 0.411624i | \(-0.135038\pi\) |
−0.979247 | + | 0.202669i | \(0.935038\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 56.7420 | + | 25.2632i | 1.85171 | + | 0.824432i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.2430 | + | 4.62783i | 0.464308 | + | 0.150863i | 0.531823 | − | 0.846855i | \(-0.321507\pi\) |
−0.0675152 | + | 0.997718i | \(0.521507\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.9774 | + | 24.6556i | 0.357472 | + | 0.802896i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.596657 | − | 1.03344i | 0.0194092 | − | 0.0336178i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −3.00661 | + | 1.73587i | −0.0977016 | + | 0.0564080i | −0.548055 | − | 0.836442i | \(-0.684631\pi\) |
0.450353 | + | 0.892851i | \(0.351298\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −23.5296 | − | 47.9644i | −0.763803 | − | 1.55699i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.02730 | − | 14.2423i | −0.0981668 | − | 0.461838i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 0.232052 | + | 2.20783i | 0.00751691 | + | 0.0715186i | 0.997637 | − | 0.0687016i | \(-0.0218856\pi\) |
−0.990120 | + | 0.140220i | \(0.955219\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.76711 | + | 36.5414i | −0.251338 | + | 1.18245i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.997123 | − | 6.86644i | −0.0322324 | − | 0.221960i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1.69052 | + | 1.87751i | −0.0545896 | + | 0.0606279i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.8983 | + | 17.3631i | −0.770911 | + | 0.560100i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.27457 | + | 7.00039i | −0.0732968 | + | 0.225584i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −2.13286 | + | 20.2928i | −0.0686592 | + | 0.653249i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 6.98874i | − | 0.224743i | −0.993666 | − | 0.112371i | \(-0.964155\pi\) | ||
0.993666 | − | 0.112371i | \(-0.0358446\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 28.0243 | + | 16.1798i | 0.900269 | + | 0.519771i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −23.3317 | + | 10.3879i | −0.748749 | + | 0.333364i | −0.745389 | − | 0.666630i | \(-0.767736\pi\) |
−0.00335992 | + | 0.999994i | \(0.501069\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.949689 | + | 4.46793i | 0.0304456 | + | 0.143235i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −4.49621 | + | 3.52939i | −0.143994 | + | 0.113031i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −7.91651 | − | 7.12806i | −0.253272 | − | 0.228047i | 0.532708 | − | 0.846299i | \(-0.321174\pi\) |
−0.785980 | + | 0.618252i | \(0.787841\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 19.3413 | − | 48.5101i | 0.618149 | − | 1.55039i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.215547 | + | 1.01407i | −0.00688188 | + | 0.0323767i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 10.7573 | + | 14.8062i | 0.343105 | + | 0.472244i | 0.945345 | − | 0.326071i | \(-0.105725\pi\) |
−0.602240 | + | 0.798315i | \(0.705725\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −30.9410 | + | 6.57672i | −0.985863 | + | 0.209552i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 2.38962 | + | 1.73616i | 0.0760625 | + | 0.0552627i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −15.4253 | −0.490496 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −29.5502 | − | 51.1824i | −0.938692 | − | 1.62586i | −0.767914 | − | 0.640553i | \(-0.778705\pi\) |
−0.170779 | − | 0.985309i | \(-0.554628\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −36.9846 | + | 50.9049i | −1.17367 | + | 1.61542i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −10.1811 | + | 9.16711i | −0.322763 | + | 0.290617i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.91760 | − | 27.7591i | −0.0924013 | − | 0.879140i | −0.938306 | − | 0.345806i | \(-0.887606\pi\) |
0.845905 | − | 0.533334i | \(-0.179061\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −6.12971 | − | 5.51922i | −0.193936 | − | 0.174620i |
(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 | 572.2.bq.a.49.3 | ✓ | 112 | |
11.9 | even | 5 | inner | 572.2.bq.a.361.12 | yes | 112 | |
13.4 | even | 6 | inner | 572.2.bq.a.225.12 | yes | 112 | |
143.108 | even | 30 | inner | 572.2.bq.a.537.3 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bq.a.49.3 | ✓ | 112 | 1.1 | even | 1 | trivial | |
572.2.bq.a.225.12 | yes | 112 | 13.4 | even | 6 | inner | |
572.2.bq.a.361.12 | yes | 112 | 11.9 | even | 5 | inner | |
572.2.bq.a.537.3 | yes | 112 | 143.108 | even | 30 | inner |