Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(17,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bs (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 431.7 | ||
Character | \(\chi\) | \(=\) | 666.431 |
Dual form | 666.2.bs.b.17.7 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{29}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.573576 | + | 0.819152i | 0.405580 | + | 0.579228i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.342020 | + | 0.939693i | −0.171010 | + | 0.469846i | ||||
\(5\) | 1.60885 | + | 0.140756i | 0.719498 | + | 0.0629479i | 0.441023 | − | 0.897496i | \(-0.354616\pi\) |
0.278474 | + | 0.960444i | \(0.410171\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.53998 | − | 1.29220i | 0.582058 | − | 0.488405i | −0.303564 | − | 0.952811i | \(-0.598177\pi\) |
0.885622 | + | 0.464406i | \(0.153732\pi\) | |||||||
\(8\) | −0.965926 | + | 0.258819i | −0.341506 | + | 0.0915064i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.807495 | + | 1.39862i | 0.255352 | + | 0.442283i | ||||
\(11\) | 2.64381 | − | 4.57920i | 0.797137 | − | 1.38068i | −0.124336 | − | 0.992240i | \(-0.539680\pi\) |
0.921473 | − | 0.388442i | \(-0.126987\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.54133 | − | 2.11766i | 1.25954 | − | 0.587332i | 0.325851 | − | 0.945421i | \(-0.394349\pi\) |
0.933687 | + | 0.358089i | \(0.116572\pi\) | |||||||
\(14\) | 1.94180 | + | 0.520305i | 0.518969 | + | 0.139057i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.766044 | − | 0.642788i | −0.191511 | − | 0.160697i | ||||
\(17\) | −5.07820 | − | 2.36800i | −1.23164 | − | 0.574325i | −0.305752 | − | 0.952111i | \(-0.598908\pi\) |
−0.925893 | + | 0.377786i | \(0.876686\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.363361 | − | 0.254428i | −0.0833608 | − | 0.0583698i | 0.531153 | − | 0.847276i | \(-0.321759\pi\) |
−0.614514 | + | 0.788906i | \(0.710648\pi\) | |||||||
\(20\) | −0.682525 | + | 1.46368i | −0.152617 | + | 0.327289i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.26749 | − | 0.460846i | 1.12303 | − | 0.0982526i | ||||
\(23\) | −1.51364 | + | 5.64898i | −0.315616 | + | 1.17789i | 0.607800 | + | 0.794090i | \(0.292052\pi\) |
−0.923415 | + | 0.383803i | \(0.874614\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.35547 | − | 0.415332i | −0.471093 | − | 0.0830665i | ||||
\(26\) | 4.33948 | + | 2.50540i | 0.851042 | + | 0.491350i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.687564 | + | 1.88907i | 0.129937 | + | 0.357000i | ||||
\(29\) | 1.91829 | + | 7.15914i | 0.356217 | + | 1.32942i | 0.878946 | + | 0.476921i | \(0.158247\pi\) |
−0.522729 | + | 0.852499i | \(0.675086\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.12102 | + | 5.12102i | 0.919762 | + | 0.919762i | 0.997012 | − | 0.0772495i | \(-0.0246138\pi\) |
−0.0772495 | + | 0.997012i | \(0.524614\pi\) | |||||||
\(32\) | 0.0871557 | − | 0.996195i | 0.0154071 | − | 0.176104i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.972981 | − | 5.51805i | −0.166865 | − | 0.946338i | ||||
\(35\) | 2.65948 | − | 1.86218i | 0.449533 | − | 0.314767i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.05499 | + | 0.580588i | 0.995434 | + | 0.0954481i | ||||
\(38\) | − | 0.443582i | − | 0.0719585i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.59046 | + | 0.280440i | −0.251473 | + | 0.0443415i | ||||
\(41\) | −6.41507 | − | 2.33489i | −1.00186 | − | 0.364649i | −0.211561 | − | 0.977365i | \(-0.567855\pi\) |
−0.790303 | + | 0.612716i | \(0.790077\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.63098 | − | 7.63098i | 1.16371 | − | 1.16371i | 0.180057 | − | 0.983656i | \(-0.442372\pi\) |
0.983656 | − | 0.180057i | \(-0.0576281\pi\) | |||||||
\(44\) | 3.39881 | + | 4.05054i | 0.512390 | + | 0.610643i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.49556 | + | 2.00022i | −0.810276 | + | 0.294916i | ||||
\(47\) | −4.34681 | + | 2.50963i | −0.634047 | + | 0.366067i | −0.782318 | − | 0.622880i | \(-0.785963\pi\) |
0.148271 | + | 0.988947i | \(0.452629\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.513770 | + | 2.91374i | −0.0733957 | + | 0.416248i | ||||
\(50\) | −1.01082 | − | 2.16771i | −0.142952 | − | 0.306561i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.436720 | + | 4.99173i | 0.0605622 | + | 0.692229i | ||||
\(53\) | −7.64299 | + | 9.10856i | −1.04985 | + | 1.25116i | −0.0827960 | + | 0.996567i | \(0.526385\pi\) |
−0.967049 | + | 0.254590i | \(0.918059\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.89802 | − | 6.99510i | 0.660449 | − | 0.943219i | ||||
\(56\) | −1.15306 | + | 1.64674i | −0.154084 | + | 0.220055i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.76414 | + | 5.67769i | −0.625563 | + | 0.745517i | ||||
\(59\) | −0.615917 | − | 7.03996i | −0.0801855 | − | 0.916525i | −0.924626 | − | 0.380876i | \(-0.875623\pi\) |
0.844441 | − | 0.535649i | \(-0.179933\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.86510 | − | 6.14423i | −0.366839 | − | 0.786688i | −0.999921 | − | 0.0126035i | \(-0.995988\pi\) |
0.633082 | − | 0.774085i | \(-0.281790\pi\) | |||||||
\(62\) | −1.25760 | + | 7.13219i | −0.159715 | + | 0.905789i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.866025 | − | 0.500000i | 0.108253 | − | 0.0625000i | ||||
\(65\) | 7.60437 | − | 2.76776i | 0.943206 | − | 0.343299i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.96674 | − | 4.72738i | −0.484615 | − | 0.577541i | 0.467224 | − | 0.884139i | \(-0.345254\pi\) |
−0.951839 | + | 0.306597i | \(0.900810\pi\) | |||||||
\(68\) | 3.96204 | − | 3.96204i | 0.480468 | − | 0.480468i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.05082 | + | 1.11041i | 0.364643 | + | 0.132719i | ||||
\(71\) | 1.49231 | − | 0.263135i | 0.177105 | − | 0.0312284i | −0.0843922 | − | 0.996433i | \(-0.526895\pi\) |
0.261497 | + | 0.965204i | \(0.415784\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.32062i | 0.973855i | 0.873442 | + | 0.486928i | \(0.161882\pi\) | ||||
−0.873442 | + | 0.486928i | \(0.838118\pi\) | |||||||
\(74\) | 2.99741 | + | 5.29297i | 0.348442 | + | 0.615295i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.363361 | − | 0.254428i | 0.0416804 | − | 0.0291849i | ||||
\(77\) | −1.84583 | − | 10.4682i | −0.210352 | − | 1.19296i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.28011 | + | 14.6317i | −0.144023 | + | 1.64620i | 0.489160 | + | 0.872194i | \(0.337303\pi\) |
−0.633184 | + | 0.774002i | \(0.718252\pi\) | |||||||
\(80\) | −1.14197 | − | 1.14197i | −0.127676 | − | 0.127676i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.76690 | − | 6.59415i | −0.195121 | − | 0.728202i | ||||
\(83\) | 4.01232 | + | 11.0238i | 0.440409 | + | 1.21002i | 0.939224 | + | 0.343306i | \(0.111547\pi\) |
−0.498814 | + | 0.866709i | \(0.666231\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.83673 | − | 4.52454i | −0.850013 | − | 0.490755i | ||||
\(86\) | 10.6279 | + | 1.87398i | 1.14603 | + | 0.202077i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.36853 | + | 5.10744i | −0.145886 | + | 0.544455i | ||||
\(89\) | 0.608784 | − | 0.0532617i | 0.0645310 | − | 0.00564573i | −0.0548445 | − | 0.998495i | \(-0.517466\pi\) |
0.119376 | + | 0.992849i | \(0.461911\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.25713 | − | 9.12944i | 0.446268 | − | 0.957026i | ||||
\(92\) | −4.79061 | − | 3.35442i | −0.499455 | − | 0.349722i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.54900 | − | 2.12123i | −0.469193 | − | 0.218788i | ||||
\(95\) | −0.548780 | − | 0.460481i | −0.0563036 | − | 0.0472443i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.0241 | − | 2.68596i | −1.01780 | − | 0.272717i | −0.288912 | − | 0.957356i | \(-0.593294\pi\) |
−0.728883 | + | 0.684638i | \(0.759960\pi\) | |||||||
\(98\) | −2.68148 | + | 1.25039i | −0.270870 | + | 0.126309i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.19590 | − | 2.07136i | 0.119590 | − | 0.207136i | ||||
\(101\) | 2.03594 | + | 3.52635i | 0.202584 | + | 0.350885i | 0.949360 | − | 0.314190i | \(-0.101733\pi\) |
−0.746777 | + | 0.665075i | \(0.768400\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.60559 | + | 1.23406i | −0.453802 | + | 0.121596i | −0.478478 | − | 0.878100i | \(-0.658811\pi\) |
0.0246758 | + | 0.999696i | \(0.492145\pi\) | |||||||
\(104\) | −3.83850 | + | 3.22088i | −0.376396 | + | 0.315833i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −11.8451 | − | 1.03631i | −1.15050 | − | 0.100656i | ||||
\(107\) | 3.50758 | − | 9.63701i | 0.339091 | − | 0.931645i | −0.646562 | − | 0.762861i | \(-0.723794\pi\) |
0.985653 | − | 0.168783i | \(-0.0539838\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.38772 | − | 4.83817i | −0.324485 | − | 0.463412i | 0.623456 | − | 0.781858i | \(-0.285728\pi\) |
−0.947941 | + | 0.318446i | \(0.896839\pi\) | |||||||
\(110\) | 8.53944 | 0.814204 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.01030 | −0.189956 | ||||||||
\(113\) | −11.1455 | − | 15.9174i | −1.04848 | − | 1.49738i | −0.856614 | − | 0.515957i | \(-0.827436\pi\) |
−0.191862 | − | 0.981422i | \(-0.561453\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.23034 | + | 8.87528i | −0.301231 | + | 0.827624i | ||||
\(116\) | −7.38349 | − | 0.645972i | −0.685540 | − | 0.0599770i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.41352 | − | 4.54249i | 0.498355 | − | 0.418170i | ||||
\(119\) | −10.8803 | + | 2.91536i | −0.997392 | + | 0.267250i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.47941 | − | 14.6868i | −0.770856 | − | 1.33516i | ||||
\(122\) | 3.38971 | − | 5.87114i | 0.306890 | − | 0.531548i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.56368 | + | 3.06069i | −0.589436 | + | 0.274858i | ||||
\(125\) | −11.5309 | − | 3.08970i | −1.03136 | − | 0.276351i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.17105 | + | 0.982631i | 0.103914 | + | 0.0871944i | 0.693265 | − | 0.720683i | \(-0.256172\pi\) |
−0.589350 | + | 0.807878i | \(0.700616\pi\) | |||||||
\(128\) | 0.906308 | + | 0.422618i | 0.0801070 | + | 0.0373545i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.62891 | + | 4.64161i | 0.581394 | + | 0.407096i | ||||
\(131\) | −1.85023 | + | 3.96782i | −0.161655 | + | 0.346670i | −0.970405 | − | 0.241482i | \(-0.922367\pi\) |
0.808750 | + | 0.588152i | \(0.200144\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.888341 | + | 0.0777197i | −0.0770289 | + | 0.00673916i | ||||
\(134\) | 1.59721 | − | 5.96088i | 0.137978 | − | 0.514942i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.51805 | + | 0.972981i | 0.473169 | + | 0.0834324i | ||||
\(137\) | −3.32296 | − | 1.91851i | −0.283899 | − | 0.163909i | 0.351288 | − | 0.936267i | \(-0.385744\pi\) |
−0.635187 | + | 0.772358i | \(0.719077\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.92800 | + | 13.5396i | 0.417987 | + | 1.14841i | 0.952842 | + | 0.303467i | \(0.0981442\pi\) |
−0.534854 | + | 0.844944i | \(0.679634\pi\) | |||||||
\(140\) | 0.840287 | + | 3.13599i | 0.0710172 | + | 0.265040i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.07150 | + | 1.07150i | 0.0899186 | + | 0.0899186i | ||||
\(143\) | 2.30921 | − | 26.3943i | 0.193106 | − | 2.20721i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.07854 | + | 11.7880i | 0.172613 | + | 0.978937i | ||||
\(146\) | −6.81586 | + | 4.77251i | −0.564084 | + | 0.394976i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.61650 | + | 5.49126i | −0.215075 | + | 0.451379i | ||||
\(149\) | − | 2.83869i | − | 0.232555i | −0.993217 | − | 0.116277i | \(-0.962904\pi\) | ||
0.993217 | − | 0.116277i | \(-0.0370962\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.603963 | + | 0.106495i | −0.0491499 | + | 0.00866644i | −0.198169 | − | 0.980168i | \(-0.563499\pi\) |
0.149019 | + | 0.988834i | \(0.452388\pi\) | |||||||
\(152\) | 0.416831 | + | 0.151714i | 0.0338094 | + | 0.0123056i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 7.51633 | − | 7.51633i | 0.605683 | − | 0.605683i | ||||
\(155\) | 7.51812 | + | 8.95974i | 0.603870 | + | 0.719664i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.70235 | − | 2.43946i | 0.534906 | − | 0.194690i | −0.0604216 | − | 0.998173i | \(-0.519245\pi\) |
0.595328 | + | 0.803483i | \(0.297022\pi\) | |||||||
\(158\) | −12.7198 | + | 7.34380i | −1.01194 | + | 0.584241i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.280440 | − | 1.59046i | 0.0221707 | − | 0.125737i | ||||
\(161\) | 4.96862 | + | 10.6552i | 0.391582 | + | 0.839750i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.866710 | + | 9.90654i | 0.0678860 | + | 0.775940i | 0.951485 | + | 0.307696i | \(0.0995578\pi\) |
−0.883599 | + | 0.468245i | \(0.844887\pi\) | |||||||
\(164\) | 4.38816 | − | 5.22961i | 0.342658 | − | 0.408364i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.72876 | + | 9.60967i | −0.522253 | + | 0.745855i | ||||
\(167\) | 13.7572 | − | 19.6474i | 1.06457 | − | 1.52036i | 0.227102 | − | 0.973871i | \(-0.427075\pi\) |
0.837466 | − | 0.546489i | \(-0.184036\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.78296 | − | 9.27537i | 0.598689 | − | 0.713490i | ||||
\(170\) | −0.788679 | − | 9.01464i | −0.0604889 | − | 0.691392i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.56082 | + | 9.78072i | 0.347760 | + | 0.745773i | ||||
\(173\) | −2.14248 | + | 12.1506i | −0.162890 | + | 0.923795i | 0.788323 | + | 0.615261i | \(0.210949\pi\) |
−0.951213 | + | 0.308534i | \(0.900162\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.16407 | + | 2.40412i | −0.314774 | + | 0.181735i | ||||
\(176\) | −4.96873 | + | 1.80847i | −0.374532 | + | 0.136318i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.392814 | + | 0.468137i | 0.0294426 | + | 0.0350884i | ||||
\(179\) | 7.15607 | − | 7.15607i | 0.534870 | − | 0.534870i | −0.387148 | − | 0.922018i | \(-0.626540\pi\) |
0.922018 | + | 0.387148i | \(0.126540\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −22.2657 | − | 8.10406i | −1.65500 | − | 0.602370i | −0.665433 | − | 0.746457i | \(-0.731753\pi\) |
−0.989565 | + | 0.144087i | \(0.953975\pi\) | |||||||
\(182\) | 9.92019 | − | 1.74920i | 0.735334 | − | 0.129659i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | − | 5.84825i | − | 0.431139i | ||||||
\(185\) | 9.65982 | + | 1.78635i | 0.710204 | + | 0.131335i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −24.2694 | + | 16.9936i | −1.77475 | + | 1.24269i | ||||
\(188\) | −0.871586 | − | 4.94301i | −0.0635669 | − | 0.360506i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.0624367 | − | 0.713655i | 0.00452964 | − | 0.0517740i | ||||
\(191\) | −3.04841 | − | 3.04841i | −0.220575 | − | 0.220575i | 0.588165 | − | 0.808741i | \(-0.299850\pi\) |
−0.808741 | + | 0.588165i | \(0.799850\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.77230 | − | 10.3464i | −0.199555 | − | 0.744748i | −0.991041 | − | 0.133561i | \(-0.957359\pi\) |
0.791486 | − | 0.611187i | \(-0.209308\pi\) | |||||||
\(194\) | −3.54939 | − | 9.75188i | −0.254832 | − | 0.700144i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.56230 | − | 1.47934i | −0.183021 | − | 0.105667i | ||||
\(197\) | 4.08537 | + | 0.720361i | 0.291070 | + | 0.0513236i | 0.317277 | − | 0.948333i | \(-0.397232\pi\) |
−0.0262063 | + | 0.999657i | \(0.508343\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.91327 | + | 10.8725i | −0.206516 | + | 0.770729i | 0.782466 | + | 0.622694i | \(0.213962\pi\) |
−0.988982 | + | 0.148036i | \(0.952705\pi\) | |||||||
\(200\) | 2.38270 | − | 0.208459i | 0.168483 | − | 0.0147403i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.72085 | + | 3.69038i | −0.121079 | + | 0.259654i | ||||
\(203\) | 12.2052 | + | 8.54614i | 0.856634 | + | 0.599821i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.99220 | − | 4.65944i | −0.697885 | − | 0.325429i | ||||
\(206\) | −3.65254 | − | 3.06485i | −0.254485 | − | 0.213538i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.84006 | − | 1.29689i | −0.335598 | − | 0.0899232i | ||||
\(209\) | −2.12573 | + | 0.991246i | −0.147040 | + | 0.0685660i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.28518 | + | 2.22600i | −0.0884757 | + | 0.153244i | −0.906867 | − | 0.421417i | \(-0.861533\pi\) |
0.818391 | + | 0.574661i | \(0.194866\pi\) | |||||||
\(212\) | −5.94519 | − | 10.2974i | −0.408317 | − | 0.707226i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 9.90604 | − | 2.65432i | 0.677163 | − | 0.181445i | ||||
\(215\) | 13.3512 | − | 11.2030i | 0.910542 | − | 0.764035i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 14.5036 | + | 1.26890i | 0.984571 | + | 0.0861388i | ||||
\(218\) | 2.02008 | − | 5.55012i | 0.136817 | − | 0.375901i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.89802 | + | 6.99510i | 0.330225 | + | 0.471610i | ||||
\(221\) | −28.0764 | −1.88862 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.99214 | 0.602158 | 0.301079 | − | 0.953599i | \(-0.402653\pi\) | ||||
0.301079 | + | 0.953599i | \(0.402653\pi\) | |||||||
\(224\) | −1.15306 | − | 1.64674i | −0.0770422 | − | 0.110028i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.64597 | − | 18.2596i | 0.442083 | − | 1.21461i | ||||
\(227\) | 15.0112 | + | 1.31331i | 0.996331 | + | 0.0871677i | 0.573641 | − | 0.819107i | \(-0.305530\pi\) |
0.422690 | + | 0.906274i | \(0.361086\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.5108 | − | 16.3715i | 1.28931 | − | 1.08186i | 0.297424 | − | 0.954745i | \(-0.403872\pi\) |
0.991888 | − | 0.127116i | \(-0.0405720\pi\) | |||||||
\(230\) | −9.12305 | + | 2.44451i | −0.601556 | + | 0.161186i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.70585 | − | 6.41871i | −0.243301 | − | 0.421409i | ||||
\(233\) | −6.34621 | + | 10.9920i | −0.415754 | + | 0.720107i | −0.995507 | − | 0.0946850i | \(-0.969816\pi\) |
0.579753 | + | 0.814792i | \(0.303149\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7.34659 | + | 3.42577i | −0.479238 | + | 0.223473i | ||||
\(236\) | 6.82606 | + | 1.82904i | 0.444338 | + | 0.119060i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −8.62878 | − | 7.24041i | −0.559321 | − | 0.469326i | ||||
\(239\) | 15.0355 | + | 7.01117i | 0.972565 | + | 0.453515i | 0.842916 | − | 0.538045i | \(-0.180837\pi\) |
0.129649 | + | 0.991560i | \(0.458615\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.85829 | + | 3.40181i | 0.312950 | + | 0.219130i | 0.719490 | − | 0.694503i | \(-0.244376\pi\) |
−0.406540 | + | 0.913633i | \(0.633265\pi\) | |||||||
\(242\) | 7.16711 | − | 15.3699i | 0.460719 | − | 0.988015i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.75361 | − | 0.590865i | 0.432356 | − | 0.0378262i | ||||
\(245\) | −1.23670 | + | 4.61543i | −0.0790100 | + | 0.294869i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.18893 | − | 0.385968i | −0.139279 | − | 0.0245586i | ||||
\(248\) | −6.27194 | − | 3.62111i | −0.398269 | − | 0.229941i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.08293 | − | 11.2178i | −0.258227 | − | 0.709474i | ||||
\(251\) | −3.60918 | − | 13.4696i | −0.227809 | − | 0.850195i | −0.981260 | − | 0.192691i | \(-0.938279\pi\) |
0.753450 | − | 0.657505i | \(-0.228388\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 21.8661 | + | 21.8661i | 1.37471 | + | 1.37471i | ||||
\(254\) | −0.133235 | + | 1.52289i | −0.00835992 | + | 0.0955543i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −14.2192 | + | 9.95637i | −0.886967 | + | 0.621061i | −0.925729 | − | 0.378187i | \(-0.876548\pi\) |
0.0387618 | + | 0.999248i | \(0.487659\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.0748 | − | 6.93015i | 0.626018 | − | 0.430618i | ||||
\(260\) | 8.09240i | 0.501869i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.31150 | + | 0.760233i | −0.266365 | + | 0.0469674i | ||||
\(263\) | 17.1405 | + | 6.23863i | 1.05693 | + | 0.384690i | 0.811273 | − | 0.584667i | \(-0.198775\pi\) |
0.245655 | + | 0.969357i | \(0.420997\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −13.5785 | + | 13.5785i | −0.834119 | + | 0.834119i | ||||
\(266\) | −0.573196 | − | 0.683108i | −0.0351449 | − | 0.0418840i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.79899 | − | 2.11066i | 0.354230 | − | 0.128929i | ||||
\(269\) | −18.3513 | + | 10.5952i | −1.11890 | + | 0.645998i | −0.941120 | − | 0.338072i | \(-0.890225\pi\) |
−0.177781 | + | 0.984070i | \(0.556892\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.33346 | + | 7.56242i | −0.0810018 | + | 0.459384i | 0.917146 | + | 0.398551i | \(0.130487\pi\) |
−0.998148 | + | 0.0608331i | \(0.980624\pi\) | |||||||
\(272\) | 2.36800 | + | 5.07820i | 0.143581 | + | 0.307911i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.334418 | − | 3.82242i | −0.0202029 | − | 0.230921i | ||||
\(275\) | −8.12929 | + | 9.68811i | −0.490215 | + | 0.584215i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.1625 | + | 18.7980i | −0.790858 | + | 1.12946i | 0.197941 | + | 0.980214i | \(0.436574\pi\) |
−0.988800 | + | 0.149249i | \(0.952314\pi\) | |||||||
\(278\) | −8.26438 | + | 11.8028i | −0.495665 | + | 0.707882i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.08689 | + | 2.48706i | −0.124715 | + | 0.148630i | ||||
\(281\) | 1.50538 | + | 17.2066i | 0.0898037 | + | 1.02646i | 0.898716 | + | 0.438532i | \(0.144501\pi\) |
−0.808912 | + | 0.587930i | \(0.799943\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.9844 | − | 25.7006i | −0.712398 | − | 1.52774i | −0.843944 | − | 0.536432i | \(-0.819772\pi\) |
0.131546 | − | 0.991310i | \(-0.458006\pi\) | |||||||
\(284\) | −0.263135 | + | 1.49231i | −0.0156142 | + | 0.0885525i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 22.9455 | − | 13.2476i | 1.35680 | − | 0.783346i | ||||
\(287\) | −12.8962 | + | 4.69384i | −0.761240 | + | 0.277069i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.25330 | + | 11.0276i | 0.544311 | + | 0.648685i | ||||
\(290\) | −8.46394 | + | 8.46394i | −0.497020 | + | 0.497020i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.81883 | − | 2.84582i | −0.457562 | − | 0.166539i | ||||
\(293\) | 7.60493 | − | 1.34096i | 0.444285 | − | 0.0783394i | 0.0529698 | − | 0.998596i | \(-0.483131\pi\) |
0.391315 | + | 0.920257i | \(0.372020\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 11.4129i | − | 0.664485i | ||||||
\(296\) | −5.99894 | + | 1.00634i | −0.348681 | + | 0.0584924i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.32532 | − | 1.62821i | 0.134702 | − | 0.0943195i | ||||
\(299\) | 5.08866 | + | 28.8592i | 0.294285 | + | 1.66897i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.89083 | − | 21.6123i | 0.108986 | − | 1.24571i | ||||
\(302\) | −0.433655 | − | 0.433655i | −0.0249540 | − | 0.0249540i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.114807 | + | 0.428467i | 0.00658466 | + | 0.0245743i | ||||
\(305\) | −3.74467 | − | 10.2884i | −0.214419 | − | 0.589112i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −21.0086 | − | 12.1293i | −1.19902 | − | 0.692256i | −0.238685 | − | 0.971097i | \(-0.576716\pi\) |
−0.960337 | + | 0.278841i | \(0.910050\pi\) | |||||||
\(308\) | 10.4682 | + | 1.84583i | 0.596481 | + | 0.105176i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.02718 | + | 11.2976i | −0.171932 | + | 0.641659i | ||||
\(311\) | 1.90821 | − | 0.166946i | 0.108204 | − | 0.00946667i | −0.0329249 | − | 0.999458i | \(-0.510482\pi\) |
0.141129 | + | 0.989991i | \(0.454927\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.60147 | − | 16.3014i | 0.429661 | − | 0.921410i | −0.565647 | − | 0.824648i | \(-0.691373\pi\) |
0.995307 | − | 0.0967626i | \(-0.0308488\pi\) | |||||||
\(314\) | 5.84260 | + | 4.09103i | 0.329717 | + | 0.230870i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −13.3115 | − | 6.20725i | −0.748830 | − | 0.349185i | ||||
\(317\) | 14.1675 | + | 11.8879i | 0.795725 | + | 0.667693i | 0.947155 | − | 0.320775i | \(-0.103943\pi\) |
−0.151430 | + | 0.988468i | \(0.548388\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 37.8548 | + | 10.1432i | 2.11946 | + | 0.567908i | ||||
\(320\) | 1.46368 | − | 0.682525i | 0.0818221 | − | 0.0381543i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.87838 | + | 10.1816i | −0.327589 | + | 0.567401i | ||||
\(323\) | 1.24273 | + | 2.15248i | 0.0691476 | + | 0.119767i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −11.5765 | + | 3.10191i | −0.642148 | + | 0.172063i | ||||
\(326\) | −7.61784 | + | 6.39213i | −0.421913 | + | 0.354027i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.80079 | + | 0.594992i | 0.375511 | + | 0.0328529i | ||||
\(329\) | −3.45106 | + | 9.48172i | −0.190263 | + | 0.522744i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.39020 | + | 10.5543i | 0.406202 | + | 0.580117i | 0.969180 | − | 0.246356i | \(-0.0792331\pi\) |
−0.562977 | + | 0.826472i | \(0.690344\pi\) | |||||||
\(332\) | −11.7312 | −0.643836 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 23.9850 | 1.31240 | ||||||||
\(335\) | −5.71647 | − | 8.16397i | −0.312324 | − | 0.446045i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.77550 | − | 4.87816i | 0.0967179 | − | 0.265730i | −0.881893 | − | 0.471449i | \(-0.843731\pi\) |
0.978611 | + | 0.205719i | \(0.0659533\pi\) | |||||||
\(338\) | 12.0621 | + | 1.05529i | 0.656090 | + | 0.0574004i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 6.93200 | − | 5.81663i | 0.375940 | − | 0.315451i | ||||
\(341\) | 36.9892 | − | 9.91122i | 2.00308 | − | 0.536723i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0100 | + | 17.3378i | 0.540488 | + | 0.936153i | ||||
\(344\) | −5.39591 | + | 9.34600i | −0.290928 | + | 0.503902i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.1821 | + | 5.21430i | −0.601153 | + | 0.280322i | ||||
\(347\) | −3.93518 | − | 1.05443i | −0.211252 | − | 0.0566047i | 0.151641 | − | 0.988436i | \(-0.451544\pi\) |
−0.362893 | + | 0.931831i | \(0.618211\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.4267 | + | 8.74905i | 0.558129 | + | 0.468326i | 0.877683 | − | 0.479242i | \(-0.159088\pi\) |
−0.319554 | + | 0.947568i | \(0.603533\pi\) | |||||||
\(350\) | −4.35775 | − | 2.03205i | −0.232932 | − | 0.108618i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.33136 | − | 3.03285i | −0.230862 | − | 0.161651i | ||||
\(353\) | 0.684424 | − | 1.46775i | 0.0364282 | − | 0.0781205i | −0.887252 | − | 0.461286i | \(-0.847388\pi\) |
0.923680 | + | 0.383165i | \(0.125166\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.43794 | − | 0.213292i | 0.129392 | − | 0.0113204i | ||||
\(356\) | −0.158167 | + | 0.590287i | −0.00838283 | + | 0.0312851i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.96647 | + | 1.75736i | 0.526744 | + | 0.0928792i | ||||
\(359\) | −2.36755 | − | 1.36690i | −0.124954 | − | 0.0721424i | 0.436220 | − | 0.899840i | \(-0.356317\pi\) |
−0.561174 | + | 0.827698i | \(0.689650\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.43109 | − | 17.6693i | −0.338478 | − | 0.929961i | ||||
\(362\) | −6.13264 | − | 22.8873i | −0.322324 | − | 1.20293i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.12285 | + | 7.12285i | 0.373339 | + | 0.373339i | ||||
\(365\) | −1.17118 | + | 13.3866i | −0.0613021 | + | 0.700687i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.766502 | + | 4.34705i | 0.0400111 | + | 0.226914i | 0.998256 | − | 0.0590349i | \(-0.0188023\pi\) |
−0.958245 | + | 0.285949i | \(0.907691\pi\) | |||||||
\(368\) | 4.79061 | − | 3.35442i | 0.249728 | − | 0.174861i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.07735 | + | 8.93747i | 0.211972 | + | 0.464637i | ||||
\(371\) | 23.9033i | 1.24100i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −35.6634 | + | 6.28842i | −1.84658 | + | 0.325602i | −0.983702 | − | 0.179808i | \(-0.942452\pi\) |
−0.862879 | + | 0.505410i | \(0.831341\pi\) | |||||||
\(374\) | −27.8407 | − | 10.1332i | −1.43961 | − | 0.523974i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.54915 | − | 3.54915i | 0.183034 | − | 0.183034i | ||||
\(377\) | 23.8722 | + | 28.4498i | 1.22948 | + | 1.46524i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.36262 | − | 3.04374i | 0.429559 | − | 0.156347i | −0.118187 | − | 0.992991i | \(-0.537708\pi\) |
0.547746 | + | 0.836645i | \(0.315486\pi\) | |||||||
\(380\) | 0.620404 | − | 0.358190i | 0.0318261 | − | 0.0183748i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.748615 | − | 4.24561i | 0.0383025 | − | 0.217224i | ||||
\(383\) | −5.29342 | − | 11.3518i | −0.270481 | − | 0.580049i | 0.723409 | − | 0.690419i | \(-0.242574\pi\) |
−0.993890 | + | 0.110371i | \(0.964796\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.49619 | − | 17.1015i | −0.0762529 | − | 0.871575i | ||||
\(386\) | 6.88513 | − | 8.20537i | 0.350444 | − | 0.417643i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.95242 | − | 8.50094i | 0.302189 | − | 0.431570i | ||||
\(389\) | 6.09399 | − | 8.70312i | 0.308978 | − | 0.441266i | −0.634391 | − | 0.773012i | \(-0.718749\pi\) |
0.943369 | + | 0.331747i | \(0.107638\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 21.0634 | − | 25.1023i | 1.06522 | − | 1.26948i | ||||
\(392\) | −0.257866 | − | 2.94743i | −0.0130242 | − | 0.148868i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.75319 | + | 3.75972i | 0.0883243 | + | 0.189412i | ||||
\(395\) | −4.11899 | + | 23.3600i | −0.207249 | + | 1.17537i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.58110 | − | 2.64490i | 0.229919 | − | 0.132744i | −0.380616 | − | 0.924733i | \(-0.624288\pi\) |
0.610535 | + | 0.791990i | \(0.290955\pi\) | |||||||
\(398\) | −10.5772 | + | 3.84978i | −0.530187 | + | 0.192972i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.53742 | + | 1.83223i | 0.0768711 | + | 0.0916114i | ||||
\(401\) | −13.9354 | + | 13.9354i | −0.695899 | + | 0.695899i | −0.963523 | − | 0.267624i | \(-0.913761\pi\) |
0.267624 | + | 0.963523i | \(0.413761\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 34.1008 | + | 12.4117i | 1.69868 | + | 0.618270i | ||||
\(404\) | −4.01002 | + | 0.707074i | −0.199506 | + | 0.0351783i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 14.8997i | 0.739462i | ||||||||
\(407\) | 18.6668 | − | 26.1921i | 0.925281 | − | 1.29829i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 15.7440 | − | 11.0240i | 0.778489 | − | 0.545104i | −0.115439 | − | 0.993315i | \(-0.536827\pi\) |
0.893928 | + | 0.448211i | \(0.147939\pi\) | |||||||
\(410\) | −1.91450 | − | 10.8577i | −0.0945505 | − | 0.536222i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.415563 | − | 4.74991i | 0.0204733 | − | 0.234011i | ||||
\(413\) | −10.0455 | − | 10.0455i | −0.494308 | − | 0.494308i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.90355 | + | 18.3003i | 0.240706 | + | 0.898326i | ||||
\(416\) | −1.71380 | − | 4.70861i | −0.0840257 | − | 0.230859i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.03125 | − | 1.17274i | −0.0993518 | − | 0.0573608i | ||||
\(419\) | 3.04843 | + | 0.537521i | 0.148926 | + | 0.0262596i | 0.247614 | − | 0.968859i | \(-0.420354\pi\) |
−0.0986883 | + | 0.995118i | \(0.531465\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.45077 | + | 31.5387i | −0.411865 | + | 1.53710i | 0.379167 | + | 0.925328i | \(0.376211\pi\) |
−0.791033 | + | 0.611774i | \(0.790456\pi\) | |||||||
\(422\) | −2.56059 | + | 0.224022i | −0.124647 | + | 0.0109052i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.02509 | − | 10.7763i | 0.244040 | − | 0.523345i | ||||
\(425\) | 10.9780 | + | 7.68690i | 0.532513 | + | 0.372869i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.3518 | − | 5.75972i | −0.597744 | − | 0.278733i | ||||
\(428\) | 7.85616 | + | 6.59210i | 0.379742 | + | 0.318641i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 16.8348 | + | 4.51088i | 0.811848 | + | 0.217534i | ||||
\(431\) | −30.9774 | + | 14.4450i | −1.49213 | + | 0.695791i | −0.986012 | − | 0.166674i | \(-0.946697\pi\) |
−0.506117 | + | 0.862465i | \(0.668919\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.983226 | + | 1.70300i | −0.0472508 | + | 0.0818408i | −0.888684 | − | 0.458521i | \(-0.848379\pi\) |
0.841433 | + | 0.540362i | \(0.181713\pi\) | |||||||
\(434\) | 7.27952 | + | 12.6085i | 0.349428 | + | 0.605227i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.70506 | − | 1.52867i | 0.273223 | − | 0.0732098i | ||||
\(437\) | 1.98726 | − | 1.66751i | 0.0950634 | − | 0.0797677i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −36.2043 | − | 3.16747i | −1.72794 | − | 0.151175i | −0.820579 | − | 0.571532i | \(-0.806349\pi\) |
−0.907359 | + | 0.420357i | \(0.861905\pi\) | |||||||
\(440\) | −2.92066 | + | 8.02445i | −0.139237 | + | 0.382551i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −16.1040 | − | 22.9988i | −0.765987 | − | 1.09394i | ||||
\(443\) | −2.18977 | −0.104039 | −0.0520196 | − | 0.998646i | \(-0.516566\pi\) | ||||
−0.0520196 | + | 0.998646i | \(0.516566\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.986937 | 0.0467853 | ||||||||
\(446\) | 5.15768 | + | 7.36593i | 0.244223 | + | 0.348787i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.687564 | − | 1.88907i | 0.0324843 | − | 0.0892500i | ||||
\(449\) | 18.5664 | + | 1.62435i | 0.876200 | + | 0.0766576i | 0.516376 | − | 0.856362i | \(-0.327281\pi\) |
0.359825 | + | 0.933020i | \(0.382836\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −27.6521 | + | 23.2029i | −1.30209 | + | 1.09258i | ||||
\(452\) | 18.7694 | − | 5.02924i | 0.882838 | − | 0.236556i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.53429 | + | 13.0498i | 0.353602 | + | 0.612456i | ||||
\(455\) | 8.13409 | − | 14.0886i | 0.381332 | − | 0.660486i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −18.1151 | + | 8.44721i | −0.847388 | + | 0.395144i | −0.797287 | − | 0.603600i | \(-0.793732\pi\) |
−0.0501015 | + | 0.998744i | \(0.515954\pi\) | |||||||
\(458\) | 24.6017 | + | 6.59201i | 1.14956 | + | 0.308025i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −7.23519 | − | 6.07105i | −0.337343 | − | 0.283064i | ||||
\(461\) | 5.36047 | + | 2.49963i | 0.249662 | + | 0.116419i | 0.543421 | − | 0.839460i | \(-0.317129\pi\) |
−0.293759 | + | 0.955879i | \(0.594906\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.4573 | + | 9.42294i | 0.625416 | + | 0.437921i | 0.842846 | − | 0.538155i | \(-0.180878\pi\) |
−0.217430 | + | 0.976076i | \(0.569767\pi\) | |||||||
\(464\) | 3.13232 | − | 6.71727i | 0.145414 | − | 0.311842i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.6441 | + | 1.10622i | −0.585728 | + | 0.0512445i | ||||
\(467\) | −1.64833 | + | 6.15166i | −0.0762757 | + | 0.284665i | −0.993520 | − | 0.113661i | \(-0.963742\pi\) |
0.917244 | + | 0.398326i | \(0.130409\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.2174 | − | 2.15426i | −0.564148 | − | 0.0994745i | ||||
\(470\) | −7.02006 | − | 4.05303i | −0.323811 | − | 0.186952i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.41701 | + | 6.64067i | 0.111252 | + | 0.305662i | ||||
\(473\) | −14.7690 | − | 55.1186i | −0.679079 | − | 2.53436i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.750213 | + | 0.750213i | 0.0344221 | + | 0.0344221i | ||||
\(476\) | 0.981729 | − | 11.2212i | 0.0449975 | − | 0.514323i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.88079 | + | 16.3378i | 0.131764 | + | 0.747273i | ||||
\(479\) | 14.9805 | − | 10.4895i | 0.684478 | − | 0.479276i | −0.178879 | − | 0.983871i | \(-0.557247\pi\) |
0.863356 | + | 0.504595i | \(0.168358\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 28.7272 | − | 10.1857i | 1.30985 | − | 0.464430i | ||||
\(482\) | 5.93088i | 0.270144i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.7012 | − | 2.94487i | 0.759145 | − | 0.133858i | ||||
\(485\) | −15.7492 | − | 5.73224i | −0.715134 | − | 0.260288i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 26.0608 | − | 26.0608i | 1.18093 | − | 1.18093i | 0.201423 | − | 0.979504i | \(-0.435443\pi\) |
0.979504 | − | 0.201423i | \(-0.0645566\pi\) | |||||||
\(488\) | 4.35772 | + | 5.19333i | 0.197265 | + | 0.235091i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.49009 | + | 1.63426i | −0.202841 | + | 0.0738282i | ||||
\(491\) | 13.1272 | − | 7.57897i | 0.592421 | − | 0.342034i | −0.173633 | − | 0.984810i | \(-0.555551\pi\) |
0.766054 | + | 0.642776i | \(0.222217\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.21144 | − | 40.8981i | 0.324787 | − | 1.84196i | ||||
\(494\) | −0.939354 | − | 2.01445i | −0.0422636 | − | 0.0906345i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.631201 | − | 7.21466i | −0.0283417 | − | 0.323948i | ||||
\(497\) | 1.95811 | − | 2.33359i | 0.0878333 | − | 0.104676i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −15.9973 | + | 22.8465i | −0.716136 | + | 1.02275i | 0.281859 | + | 0.959456i | \(0.409049\pi\) |
−0.997995 | + | 0.0632929i | \(0.979840\pi\) | |||||||
\(500\) | 6.84718 | − | 9.77879i | 0.306215 | − | 0.437321i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 8.96354 | − | 10.6823i | 0.400062 | − | 0.476776i | ||||
\(503\) | 0.167644 | + | 1.91618i | 0.00747490 | + | 0.0854385i | 0.999016 | − | 0.0443563i | \(-0.0141237\pi\) |
−0.991541 | + | 0.129795i | \(0.958568\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.77916 | + | 5.95992i | 0.123671 | + | 0.265213i | ||||
\(506\) | −5.36977 | + | 30.4535i | −0.238715 | + | 1.35382i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.32390 | + | 0.764351i | −0.0587384 | + | 0.0339126i | ||||
\(509\) | 1.24147 | − | 0.451859i | 0.0550273 | − | 0.0200283i | −0.314360 | − | 0.949304i | \(-0.601790\pi\) |
0.369387 | + | 0.929276i | \(0.379568\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.7519 | + | 12.8136i | 0.475636 | + | 0.566840i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −16.3116 | − | 5.93692i | −0.719472 | − | 0.261866i | ||||
\(515\) | −7.58338 | + | 1.33715i | −0.334164 | + | 0.0589221i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 26.5399i | 1.16722i | ||||||||
\(518\) | 11.4555 | + | 4.27783i | 0.503326 | + | 0.187957i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −6.62891 | + | 4.64161i | −0.290697 | + | 0.203548i | ||||
\(521\) | −2.36376 | − | 13.4055i | −0.103558 | − | 0.587308i | −0.991786 | − | 0.127905i | \(-0.959175\pi\) |
0.888228 | − | 0.459402i | \(-0.151936\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.09092 | − | 35.3294i | 0.135156 | − | 1.54485i | −0.561522 | − | 0.827462i | \(-0.689784\pi\) |
0.696679 | − | 0.717383i | \(-0.254660\pi\) | |||||||
\(524\) | −3.09572 | − | 3.09572i | −0.135237 | − | 0.135237i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.72100 | + | 17.6190i | 0.205845 | + | 0.768225i | ||||
\(527\) | −13.8790 | − | 38.1322i | −0.604578 | − | 1.66106i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.70126 | − | 5.60103i | −0.421794 | − | 0.243523i | ||||
\(530\) | −18.9111 | − | 3.33454i | −0.821446 | − | 0.144843i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.230798 | − | 0.861349i | 0.0100064 | − | 0.0373442i | ||||
\(533\) | −34.0774 | + | 2.98139i | −1.47606 | + | 0.129138i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.99962 | − | 15.0107i | 0.302620 | − | 0.648971i | ||||
\(536\) | 5.05512 | + | 3.53963i | 0.218348 | + | 0.152889i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −19.2049 | − | 8.95541i | −0.827984 | − | 0.386095i | ||||
\(539\) | 11.9843 | + | 10.0560i | 0.516200 | + | 0.433143i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 30.1363 | + | 8.07499i | 1.29566 | + | 0.347171i | 0.839807 | − | 0.542884i | \(-0.182668\pi\) |
0.455852 | + | 0.890055i | \(0.349334\pi\) | |||||||
\(542\) | −6.95961 | + | 3.24532i | −0.298941 | + | 0.139398i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.80159 | + | 4.85249i | −0.120117 | + | 0.208049i | ||||
\(545\) | −4.76932 | − | 8.26070i | −0.204295 | − | 0.353850i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −16.0232 | + | 4.29339i | −0.685101 | + | 0.183572i | −0.584547 | − | 0.811360i | \(-0.698728\pi\) |
−0.100553 | + | 0.994932i | \(0.532061\pi\) | |||||||
\(548\) | 2.93933 | − | 2.46639i | 0.125562 | − | 0.105359i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −12.5988 | − | 1.10225i | −0.537215 | − | 0.0470002i | ||||
\(551\) | 1.12446 | − | 3.08942i | 0.0479035 | − | 0.131614i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 16.9357 | + | 24.1867i | 0.720180 | + | 1.02852i | ||||
\(554\) | −22.9481 | −0.974972 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −14.4085 | −0.611057 | ||||||||
\(557\) | −10.3351 | − | 14.7600i | −0.437910 | − | 0.625401i | 0.538163 | − | 0.842841i | \(-0.319118\pi\) |
−0.976074 | + | 0.217440i | \(0.930229\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.4950 | − | 50.8146i | 0.782255 | − | 2.14923i | ||||
\(560\) | −3.23427 | − | 0.282962i | −0.136673 | − | 0.0119573i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −13.2314 | + | 11.1025i | −0.558132 | + | 0.468329i | ||||
\(563\) | −25.8416 | + | 6.92423i | −1.08909 | + | 0.291822i | −0.758316 | − | 0.651887i | \(-0.773978\pi\) |
−0.330777 | + | 0.943709i | \(0.607311\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15.6909 | − | 27.1774i | −0.660119 | − | 1.14336i | ||||
\(566\) | 14.1787 | − | 24.5583i | 0.595977 | − | 1.03226i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.37336 | + | 0.640408i | −0.0576249 | + | 0.0268709i | ||||
\(569\) | −7.98458 | − | 2.13946i | −0.334731 | − | 0.0896909i | 0.0875387 | − | 0.996161i | \(-0.472100\pi\) |
−0.422270 | + | 0.906470i | \(0.638767\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.51840 | − | 4.63049i | −0.230938 | − | 0.193780i | 0.519974 | − | 0.854182i | \(-0.325941\pi\) |
−0.750912 | + | 0.660402i | \(0.770386\pi\) | |||||||
\(572\) | 24.0128 | + | 11.1973i | 1.00402 | + | 0.468184i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −11.2419 | − | 7.87169i | −0.469229 | − | 0.328558i | ||||
\(575\) | 5.91153 | − | 12.6773i | 0.246528 | − | 0.528681i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −39.9468 | + | 3.49489i | −1.66301 | + | 0.145494i | −0.879504 | − | 0.475892i | \(-0.842125\pi\) |
−0.783504 | + | 0.621387i | \(0.786570\pi\) | |||||||
\(578\) | −3.72585 | + | 13.9051i | −0.154975 | + | 0.578374i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −11.7880 | − | 2.07854i | −0.489469 | − | 0.0863065i | ||||
\(581\) | 20.4238 | + | 11.7917i | 0.847321 | + | 0.489201i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 21.5034 | + | 59.0801i | 0.890579 | + | 2.44685i | ||||
\(584\) | −2.15354 | − | 8.03711i | −0.0891140 | − | 0.332578i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.46046 | + | 5.46046i | 0.225569 | + | 0.225569i | ||||
\(587\) | 2.16060 | − | 24.6958i | 0.0891776 | − | 1.01930i | −0.811366 | − | 0.584539i | \(-0.801276\pi\) |
0.900544 | − | 0.434766i | \(-0.143169\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.557848 | − | 3.16371i | −0.0229857 | − | 0.130358i | ||||
\(590\) | 9.34890 | − | 6.54617i | 0.384888 | − | 0.269502i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.26520 | − | 4.33683i | −0.175299 | − | 0.178243i | ||||
\(593\) | 5.96828i | 0.245088i | 0.992463 | + | 0.122544i | \(0.0391052\pi\) | ||||
−0.992463 | + | 0.122544i | \(0.960895\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −17.9150 | + | 3.15890i | −0.734444 | + | 0.129502i | ||||
\(596\) | 2.66750 | + | 0.970890i | 0.109265 | + | 0.0397692i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −20.7214 | + | 20.7214i | −0.847360 | + | 0.847360i | ||||
\(599\) | 23.8933 | + | 28.4749i | 0.976252 | + | 1.16345i | 0.986543 | + | 0.163505i | \(0.0522799\pi\) |
−0.0102905 | + | 0.999947i | \(0.503276\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −42.7015 | + | 15.5421i | −1.74183 | + | 0.633974i | −0.999355 | − | 0.0359013i | \(-0.988570\pi\) |
−0.742474 | + | 0.669875i | \(0.766348\pi\) | |||||||
\(602\) | 18.7883 | − | 10.8474i | 0.765753 | − | 0.442108i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.106495 | − | 0.603963i | 0.00433322 | − | 0.0245749i | ||||
\(605\) | −11.5748 | − | 24.8223i | −0.470583 | − | 1.00917i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −1.76803 | − | 20.2086i | −0.0717620 | − | 0.820243i | −0.943738 | − | 0.330695i | \(-0.892717\pi\) |
0.871976 | − | 0.489549i | \(-0.162839\pi\) | |||||||
\(608\) | −0.285129 | + | 0.339804i | −0.0115635 | + | 0.0137809i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.27991 | − | 8.96864i | 0.254266 | − | 0.363130i | ||||
\(611\) | −14.4257 | + | 20.6021i | −0.583603 | + | 0.833472i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.10272 | + | 9.65644i | −0.327266 | + | 0.390020i | −0.904440 | − | 0.426601i | \(-0.859711\pi\) |
0.577174 | + | 0.816621i | \(0.304155\pi\) | |||||||
\(614\) | −2.11428 | − | 24.1663i | −0.0853253 | − | 0.975272i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.49230 | + | 9.63378i | 0.181000 | + | 0.388156i | ||||
\(617\) | 5.34176 | − | 30.2946i | 0.215051 | − | 1.21962i | −0.665767 | − | 0.746160i | \(-0.731895\pi\) |
0.880818 | − | 0.473456i | \(-0.156994\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.52235 | − | 2.61098i | 0.181768 | − | 0.104944i | −0.406355 | − | 0.913715i | \(-0.633200\pi\) |
0.588123 | + | 0.808771i | \(0.299867\pi\) | |||||||
\(620\) | −10.9908 | + | 4.00031i | −0.441399 | + | 0.160656i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.23126 | + | 1.46736i | 0.0493689 | + | 0.0588356i | ||||
\(623\) | 0.868691 | − | 0.868691i | 0.0348034 | − | 0.0348034i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.87879 | − | 2.50367i | −0.275151 | − | 0.100147i | ||||
\(626\) | 17.7134 | − | 3.12334i | 0.707968 | − | 0.124834i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.13250i | 0.284618i | ||||||||
\(629\) | −29.3736 | − | 17.2866i | −1.17120 | − | 0.689261i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.1428 | + | 8.50250i | −0.483399 | + | 0.338479i | −0.789739 | − | 0.613443i | \(-0.789784\pi\) |
0.306341 | + | 0.951922i | \(0.400895\pi\) | |||||||
\(632\) | −2.55047 | − | 14.4645i | −0.101452 | − | 0.575365i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.61189 | + | 18.4240i | −0.0640162 | + | 0.731709i | ||||
\(635\) | 1.74573 | + | 1.74573i | 0.0692773 | + | 0.0692773i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.83709 | + | 14.3202i | 0.152031 | + | 0.567388i | ||||
\(638\) | 13.4038 | + | 36.8267i | 0.530662 | + | 1.45798i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.39862 | + | 0.807495i | 0.0552854 | + | 0.0319191i | ||||
\(641\) | 13.0347 | + | 2.29837i | 0.514839 | + | 0.0907801i | 0.425031 | − | 0.905179i | \(-0.360263\pi\) |
0.0898087 | + | 0.995959i | \(0.471374\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.97118 | + | 7.35655i | −0.0777358 | + | 0.290114i | −0.993840 | − | 0.110827i | \(-0.964650\pi\) |
0.916104 | + | 0.400941i | \(0.131317\pi\) | |||||||
\(644\) | −11.7120 | + | 1.02467i | −0.461518 | + | 0.0403776i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.05040 | + | 2.25260i | −0.0413276 | + | 0.0886273i | ||||
\(647\) | −21.2126 | − | 14.8532i | −0.833952 | − | 0.583939i | 0.0767281 | − | 0.997052i | \(-0.475553\pi\) |
−0.910680 | + | 0.413113i | \(0.864442\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −33.8658 | − | 15.7919i | −1.32935 | − | 0.619885i | ||||
\(650\) | −9.18093 | − | 7.70372i | −0.360106 | − | 0.302165i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.60554 | − | 2.57380i | −0.376182 | − | 0.100798i | ||||
\(653\) | −3.17955 | + | 1.48265i | −0.124425 | + | 0.0580205i | −0.483834 | − | 0.875160i | \(-0.660756\pi\) |
0.359409 | + | 0.933180i | \(0.382978\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.53522 | + | 6.12319i | −0.138133 | + | 0.239253i | ||||
\(656\) | 3.41338 | + | 5.91216i | 0.133270 | + | 0.230831i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −9.74642 | + | 2.61154i | −0.379955 | + | 0.101809i | ||||
\(659\) | 29.4951 | − | 24.7493i | 1.14896 | − | 0.964096i | 0.149270 | − | 0.988797i | \(-0.452308\pi\) |
0.999695 | + | 0.0247007i | \(0.00786329\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 29.0548 | + | 2.54197i | 1.13010 | + | 0.0988711i | 0.636830 | − | 0.771004i | \(-0.280245\pi\) |
0.493272 | + | 0.869875i | \(0.335801\pi\) | |||||||
\(662\) | −4.40673 | + | 12.1074i | −0.171272 | + | 0.470567i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.72876 | − | 9.60967i | −0.261127 | − | 0.372928i | ||||
\(665\) | −1.44014 | −0.0558463 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −43.3454 | −1.67834 | ||||||||
\(668\) | 13.7572 | + | 19.6474i | 0.532284 | + | 0.760180i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.40870 | − | 9.36532i | 0.131689 | − | 0.361814i | ||||
\(671\) | −35.7105 | − | 3.12426i | −1.37859 | − | 0.120611i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31.4280 | − | 26.3713i | 1.21146 | − | 1.01654i | 0.212235 | − | 0.977219i | \(-0.431926\pi\) |
0.999227 | − | 0.0393187i | \(-0.0125188\pi\) | |||||||
\(674\) | 5.01434 | − | 1.34359i | 0.193145 | − | 0.0517531i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.05407 | + | 10.4860i | 0.232849 | + | 0.403306i | ||||
\(677\) | 8.58666 | − | 14.8725i | 0.330012 | − | 0.571598i | −0.652502 | − | 0.757787i | \(-0.726281\pi\) |
0.982514 | + | 0.186190i | \(0.0596138\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −18.9077 | + | 8.81683i | −0.725613 | + | 0.338359i | ||||
\(680\) | 8.74074 | + | 2.34207i | 0.335192 | + | 0.0898144i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 29.3349 | + | 24.6149i | 1.12329 | + | 0.942554i | ||||
\(683\) | 38.9760 | + | 18.1748i | 1.49138 | + | 0.695440i | 0.985890 | − | 0.167394i | \(-0.0535352\pi\) |
0.505487 | + | 0.862834i | \(0.331313\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.07608 | − | 3.55431i | −0.193947 | − | 0.135803i | ||||
\(686\) | −8.46080 | + | 18.1443i | −0.323035 | + | 0.692751i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.7508 | + | 0.940570i | −0.409869 | + | 0.0358589i | ||||
\(689\) | −15.4205 | + | 57.5502i | −0.587475 | + | 2.19249i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 35.7513 | + | 6.30392i | 1.36004 | + | 0.239813i | 0.805626 | − | 0.592425i | \(-0.201829\pi\) |
0.554419 | + | 0.832238i | \(0.312940\pi\) | |||||||
\(692\) | −10.6851 | − | 6.16904i | −0.406186 | − | 0.234512i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.39339 | − | 3.82831i | −0.0528924 | − | 0.145321i | ||||
\(695\) | 6.02262 | + | 22.4767i | 0.228451 | + | 0.852590i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 27.0480 | + | 27.0480i | 1.02451 | + | 1.02451i | ||||
\(698\) | −1.18629 | + | 13.5593i | −0.0449016 | + | 0.513227i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.834944 | − | 4.73520i | −0.0315579 | − | 0.178974i | ||||
\(701\) | 11.9407 | − | 8.36099i | 0.450995 | − | 0.315790i | −0.325918 | − | 0.945398i | \(-0.605673\pi\) |
0.776913 | + | 0.629608i | \(0.216784\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.05243 | − | 1.75152i | −0.0774089 | − | 0.0660600i | ||||
\(704\) | − | 5.28761i | − | 0.199284i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.59488 | − | 0.281221i | 0.0600241 | − | 0.0105839i | ||||
\(707\) | 7.69205 | + | 2.79968i | 0.289289 | + | 0.105293i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.98129 | − | 7.98129i | 0.299744 | − | 0.299744i | −0.541170 | − | 0.840913i | \(-0.682018\pi\) |
0.840913 | + | 0.541170i | \(0.182018\pi\) | |||||||
\(710\) | 1.57306 | + | 1.87470i | 0.0590360 | + | 0.0703564i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.574255 | + | 0.209012i | −0.0215211 | + | 0.00783305i | ||||
\(713\) | −36.6799 | + | 21.1772i | −1.37367 | + | 0.793091i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.43031 | − | 42.1394i | 0.277878 | − | 1.57592i | ||||
\(716\) | 4.27699 | + | 9.17203i | 0.159839 | + | 0.342775i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.238267 | − | 2.72340i | −0.00889205 | − | 0.101637i | ||||
\(719\) | 16.3215 | − | 19.4512i | 0.608690 | − | 0.725408i | −0.370392 | − | 0.928876i | \(-0.620777\pi\) |
0.979082 | + | 0.203467i | \(0.0652211\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.49786 | + | 7.85176i | −0.204751 | + | 0.292415i | ||||
\(722\) | 10.7851 | − | 15.4027i | 0.401380 | − | 0.573229i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 15.2307 | − | 18.1512i | 0.566043 | − | 0.674583i | ||||
\(725\) | −1.54504 | − | 17.6599i | −0.0573812 | − | 0.655871i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.73661 | − | 8.01319i | −0.138583 | − | 0.297193i | 0.824751 | − | 0.565496i | \(-0.191315\pi\) |
−0.963335 | + | 0.268303i | \(0.913537\pi\) | |||||||
\(728\) | −1.74920 | + | 9.92019i | −0.0648296 | + | 0.367667i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −11.6374 | + | 6.71887i | −0.430720 | + | 0.248676i | ||||
\(731\) | −56.8218 | + | 20.6814i | −2.10163 | + | 0.764931i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −24.2840 | − | 28.9405i | −0.896948 | − | 1.06894i | −0.997259 | − | 0.0739853i | \(-0.976428\pi\) |
0.100311 | − | 0.994956i | \(-0.468016\pi\) | |||||||
\(734\) | −3.12125 | + | 3.12125i | −0.115207 | + | 0.115207i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.49556 | + | 2.00022i | 0.202569 | + | 0.0737291i | ||||
\(737\) | −32.1349 | + | 5.66626i | −1.18371 | + | 0.208719i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 50.6865i | 1.86453i | 0.361773 | + | 0.932266i | \(0.382171\pi\) | ||||
−0.361773 | + | 0.932266i | \(0.617829\pi\) | |||||||
\(740\) | −4.98248 | + | 8.46630i | −0.183159 | + | 0.311227i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −19.5804 | + | 13.7103i | −0.718819 | + | 0.503322i | ||||
\(743\) | −5.53715 | − | 31.4028i | −0.203139 | − | 1.15206i | −0.900342 | − | 0.435183i | \(-0.856684\pi\) |
0.697204 | − | 0.716873i | \(-0.254427\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.399562 | − | 4.56702i | 0.0146388 | − | 0.167323i | ||||
\(746\) | −25.6069 | − | 25.6069i | −0.937534 | − | 0.937534i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −7.66814 | − | 28.6179i | −0.280375 | − | 1.04637i | ||||
\(749\) | −7.05130 | − | 19.3733i | −0.257649 | − | 0.707885i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −31.0917 | − | 17.9508i | −1.13455 | − | 0.655034i | −0.189476 | − | 0.981885i | \(-0.560679\pi\) |
−0.945076 | + | 0.326851i | \(0.894012\pi\) | |||||||
\(752\) | 4.94301 | + | 0.871586i | 0.180253 | + | 0.0317835i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −9.61216 | + | 35.8731i | −0.350054 | + | 1.30642i | ||||
\(755\) | −0.986674 | + | 0.0863228i | −0.0359087 | + | 0.00314161i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −16.9967 | + | 36.4495i | −0.617754 | + | 1.32478i | 0.309697 | + | 0.950835i | \(0.399772\pi\) |
−0.927452 | + | 0.373943i | \(0.878006\pi\) | |||||||
\(758\) | 7.28989 | + | 5.10443i | 0.264781 | + | 0.185401i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.649262 | + | 0.302756i | 0.0235512 | + | 0.0109821i | ||||
\(761\) | −0.414396 | − | 0.347720i | −0.0150219 | − | 0.0126048i | 0.635246 | − | 0.772310i | \(-0.280899\pi\) |
−0.650268 | + | 0.759705i | \(0.725343\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.4689 | − | 3.07308i | −0.415202 | − | 0.111253i | ||||
\(764\) | 3.90719 | − | 1.82195i | 0.141357 | − | 0.0659159i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.26265 | − | 10.8472i | 0.226279 | − | 0.391926i | ||||
\(767\) | −17.7053 | − | 30.6665i | −0.639301 | − | 1.10730i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 38.3997 | − | 10.2892i | 1.38473 | − | 0.371037i | 0.511891 | − | 0.859050i | \(-0.328945\pi\) |
0.872836 | + | 0.488013i | \(0.162278\pi\) | |||||||
\(770\) | 13.1506 | − | 11.0346i | 0.473914 | − | 0.397661i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.6706 | + | 0.933556i | 0.384043 | + | 0.0335994i | ||||
\(773\) | 3.27444 | − | 8.99645i | 0.117773 | − | 0.323580i | −0.866773 | − | 0.498703i | \(-0.833810\pi\) |
0.984547 | + | 0.175123i | \(0.0560322\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9.93547 | − | 14.1893i | −0.356893 | − | 0.509695i | ||||
\(776\) | 10.3777 | 0.372539 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 10.6246 | 0.380909 | ||||||||
\(779\) | 1.73692 | + | 2.48058i | 0.0622317 | + | 0.0888761i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.74044 | − | 7.52929i | 0.0980605 | − | 0.269419i | ||||
\(782\) | 32.6441 | + | 2.85599i | 1.16735 | + | 0.102130i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 2.26648 | − | 1.90181i | 0.0809459 | − | 0.0679216i | ||||
\(785\) | 11.1264 | − | 2.98131i | 0.397119 | − | 0.106408i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.2930 | − | 33.4164i | −0.687720 | − | 1.19117i | −0.972574 | − | 0.232595i | \(-0.925278\pi\) |
0.284854 | − | 0.958571i | \(-0.408055\pi\) | |||||||
\(788\) | −2.07420 | + | 3.59261i | −0.0738902 | + | 0.127982i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −21.4979 | + | 10.0246i | −0.764862 | + | 0.356661i | ||||
\(791\) | −37.7322 | − | 10.1103i | −1.34160 | − | 0.359481i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −26.0228 | − | 21.8357i | −0.924095 | − | 0.775408i | ||||
\(794\) | 4.79419 | + | 2.23557i | 0.170139 | + | 0.0793373i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.22039 | − | 6.45619i | −0.326808 | − | 0.228833i | ||||
\(797\) | 10.7437 | − | 23.0399i | 0.380560 | − | 0.816114i | −0.618968 | − | 0.785416i | \(-0.712449\pi\) |
0.999529 | − | 0.0306983i | \(-0.00977309\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 28.0168 | − | 2.45115i | 0.991162 | − | 0.0867155i | ||||
\(800\) | −0.619044 | + | 2.31031i | −0.0218865 | + | 0.0816816i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −19.4082 | − | 3.42219i | −0.685327 | − | 0.120842i | ||||
\(803\) | 38.1018 | + | 21.9981i | 1.34458 | + | 0.776296i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.49395 | + | 17.8420i | 0.228882 | + | 0.628848i | ||||
\(806\) | 9.39236 | + | 35.0528i | 0.330832 | + | 1.23468i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.87925 | − | 2.87925i | −0.101292 | − | 0.101292i | ||||
\(809\) | −3.50975 | + | 40.1166i | −0.123396 | + | 1.41042i | 0.641921 | + | 0.766771i | \(0.278138\pi\) |
−0.765317 | + | 0.643653i | \(0.777418\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 3.64567 | + | 20.6756i | 0.128017 | + | 0.726019i | 0.979470 | + | 0.201589i | \(0.0646104\pi\) |
−0.851454 | + | 0.524430i | \(0.824278\pi\) | |||||||
\(812\) | −12.2052 | + | 8.54614i | −0.428317 | + | 0.299911i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 32.1622 | + | 0.267827i | 1.12728 | + | 0.00938733i | ||||
\(815\) | 16.0601i | 0.562560i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.71434 | + | 0.831265i | −0.164934 | + | 0.0290823i | ||||
\(818\) | 18.0607 | + | 6.57357i | 0.631479 | + | 0.229840i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 7.79597 | − | 7.79597i | 0.272247 | − | 0.272247i | ||||
\(821\) | 16.7207 | + | 19.9269i | 0.583556 | + | 0.695454i | 0.974354 | − | 0.225022i | \(-0.0722454\pi\) |
−0.390798 | + | 0.920476i | \(0.627801\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.26998 | − | 1.19018i | 0.113984 | − | 0.0414869i | −0.284398 | − | 0.958706i | \(-0.591794\pi\) |
0.398383 | + | 0.917219i | \(0.369572\pi\) | |||||||
\(824\) | 4.12926 | − | 2.38403i | 0.143850 | − | 0.0830515i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.46693 | − | 13.9907i | 0.0858356 | − | 0.486798i | ||||
\(827\) | −20.3961 | − | 43.7397i | −0.709243 | − | 1.52098i | −0.847624 | − | 0.530598i | \(-0.821968\pi\) |
0.138381 | − | 0.990379i | \(-0.455810\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.92322 | + | 33.4125i | 0.101528 | + | 1.16047i | 0.860538 | + | 0.509387i | \(0.170128\pi\) |
−0.759010 | + | 0.651079i | \(0.774317\pi\) | |||||||
\(830\) | −12.1782 | + | 14.5134i | −0.422710 | + | 0.503766i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.87408 | − | 4.10461i | 0.0996407 | − | 0.142302i | ||||
\(833\) | 9.50877 | − | 13.5799i | 0.329459 | − | 0.470517i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 24.8988 | − | 29.6732i | 0.861657 | − | 1.02688i | ||||
\(836\) | −0.204423 | − | 2.33656i | −0.00707011 | − | 0.0808117i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1.30820 | + | 2.80544i | 0.0451909 | + | 0.0969123i | ||||
\(839\) | −2.81254 | + | 15.9507i | −0.0970997 | + | 0.550680i | 0.896984 | + | 0.442063i | \(0.145753\pi\) |
−0.994084 | + | 0.108617i | \(0.965358\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −22.4588 | + | 12.9666i | −0.774441 | + | 0.447124i | ||||
\(842\) | −30.6822 | + | 11.1674i | −1.05738 | + | 0.384854i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.65220 | − | 1.96902i | −0.0568711 | − | 0.0677764i | ||||
\(845\) | 13.8271 | − | 13.8271i | 0.475668 | − | 0.475668i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −32.0363 | − | 11.6603i | −1.10078 | − | 0.400652i | ||||
\(848\) | 11.7097 | − | 2.06474i | 0.402114 | − | 0.0709035i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 13.4017i | 0.459674i | ||||||||
\(851\) | −12.4448 | + | 33.3257i | −0.426602 | + | 1.14239i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 36.1467 | − | 25.3102i | 1.23764 | − | 0.866605i | 0.243003 | − | 0.970026i | \(-0.421867\pi\) |
0.994638 | + | 0.103420i | \(0.0329786\pi\) | |||||||
\(854\) | −2.36659 | − | 13.4216i | −0.0809831 | − | 0.459278i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.893825 | + | 10.2165i | −0.0305503 | + | 0.349191i | ||||
\(857\) | −25.1749 | − | 25.1749i | −0.859959 | − | 0.859959i | 0.131374 | − | 0.991333i | \(-0.458061\pi\) |
−0.991333 | + | 0.131374i | \(0.958061\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.8608 | − | 44.2652i | −0.404686 | − | 1.51031i | −0.804635 | − | 0.593770i | \(-0.797639\pi\) |
0.399949 | − | 0.916537i | \(-0.369028\pi\) | |||||||
\(860\) | 5.96097 | + | 16.3776i | 0.203267 | + | 0.558472i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −29.6006 | − | 17.0899i | −1.00820 | − | 0.582084i | ||||
\(863\) | 17.7169 | + | 3.12397i | 0.603090 | + | 0.106341i | 0.466852 | − | 0.884335i | \(-0.345388\pi\) |
0.136237 | + | 0.990676i | \(0.456499\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.15720 | + | 19.2469i | −0.175350 | + | 0.654415i | ||||
\(866\) | −1.95897 | + | 0.171388i | −0.0665685 | + | 0.00582398i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −6.15292 | + | 13.1950i | −0.208844 | + | 0.447867i | ||||
\(869\) | 63.6172 | + | 44.5453i | 2.15807 | + | 1.51109i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −28.0253 | − | 13.0684i | −0.949600 | − | 0.442806i | ||||
\(872\) | 4.52450 | + | 3.79650i | 0.153219 | + | 0.128566i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.50579 | + | 0.671423i | 0.0847594 | + | 0.0227112i | ||||
\(875\) | −21.7499 | + | 10.1422i | −0.735281 | + | 0.342867i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.37127 | − | 11.0354i | 0.215143 | − | 0.372638i | −0.738174 | − | 0.674610i | \(-0.764312\pi\) |
0.953317 | + | 0.301972i | \(0.0976451\pi\) | |||||||
\(878\) | −18.1713 | − | 31.4736i | −0.613252 | − | 1.06218i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.24847 | + | 2.21017i | −0.278056 | + | 0.0745048i | ||||
\(881\) | 38.9554 | − | 32.6875i | 1.31244 | − | 1.10127i | 0.324592 | − | 0.945854i | \(-0.394773\pi\) |
0.987849 | − | 0.155415i | \(-0.0496714\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −39.7065 | − | 3.47387i | −1.33623 | − | 0.116905i | −0.603467 | − | 0.797388i | \(-0.706214\pi\) |
−0.732764 | + | 0.680483i | \(0.761770\pi\) | |||||||
\(884\) | 9.60270 | − | 26.3832i | 0.322974 | − | 0.887363i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.25600 | − | 1.79376i | −0.0421962 | − | 0.0602625i | ||||
\(887\) | 28.3940 | 0.953378 | 0.476689 | − | 0.879072i | \(-0.341837\pi\) | ||||
0.476689 | + | 0.879072i | \(0.341837\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.07315 | 0.103070 | ||||||||
\(890\) | 0.566084 | + | 0.808451i | 0.0189752 | + | 0.0270993i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.07549 | + | 8.44985i | −0.102975 | + | 0.282922i | ||||
\(893\) | 2.21798 | + | 0.194048i | 0.0742219 | + | 0.00649358i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 12.5203 | − | 10.5058i | 0.418507 | − | 0.351169i | ||||
\(896\) | 1.94180 | − | 0.520305i | 0.0648711 | − | 0.0173822i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 9.31864 | + | 16.1404i | 0.310967 | + | 0.538611i | ||||
\(899\) | −26.8385 | + | 46.4857i | −0.895115 | + | 1.55039i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 60.3817 | − | 28.1565i | 2.01161 | − | 0.938028i | ||||
\(902\) | −34.8673 | − | 9.34267i | −1.16095 | − | 0.311077i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 14.8854 | + | 12.4903i | 0.495081 | + | 0.415422i | ||||
\(905\) | −34.6814 | − | 16.1722i | −1.15285 | − | 0.537582i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 46.2137 | + | 32.3592i | 1.53450 | + | 1.07447i | 0.968171 | + | 0.250289i | \(0.0805256\pi\) |
0.566329 | + | 0.824179i | \(0.308363\pi\) | |||||||
\(908\) | −6.36826 | + | 13.6568i | −0.211338 | + | 0.453216i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 16.2063 | − | 1.41786i | 0.537232 | − | 0.0470018i | ||||
\(911\) | −2.07080 | + | 7.72832i | −0.0686086 | + | 0.256051i | −0.991708 | − | 0.128510i | \(-0.958980\pi\) |
0.923100 | + | 0.384561i | \(0.125647\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 61.0879 | + | 10.7714i | 2.02171 | + | 0.356483i | ||||
\(914\) | −17.3099 | − | 9.99390i | −0.572562 | − | 0.330569i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.71111 | + | 23.9336i | 0.287823 | + | 0.790788i | ||||
\(917\) | 2.27790 | + | 8.50123i | 0.0752228 | + | 0.280735i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 34.0204 | + | 34.0204i | 1.12223 | + | 1.12223i | 0.991406 | + | 0.130823i | \(0.0417620\pi\) |
0.130823 | + | 0.991406i | \(0.458238\pi\) | |||||||
\(920\) | 0.823175 | − | 9.40893i | 0.0271393 | − | 0.310203i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.02706 | + | 5.82477i | 0.0338246 | + | 0.191829i | ||||
\(923\) | 6.21986 | − | 4.35519i | 0.204729 | − | 0.143353i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.0212 | − | 3.88239i | −0.461014 | − | 0.127652i | ||||
\(926\) | 16.4284i | 0.539870i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 7.29909 | − | 1.28703i | 0.239604 | − | 0.0422487i | ||||
\(929\) | 48.6559 | + | 17.7093i | 1.59635 | + | 0.581023i | 0.978675 | − | 0.205413i | \(-0.0658538\pi\) |
0.617672 | + | 0.786436i | \(0.288076\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.928021 | − | 0.928021i | 0.0304147 | − | 0.0304147i | ||||
\(932\) | −8.15853 | − | 9.72296i | −0.267242 | − | 0.318486i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −5.98459 | + | 2.17821i | −0.195822 | + | 0.0712733i | ||||
\(935\) | −41.4376 | + | 23.9240i | −1.35515 | + | 0.782398i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.99876 | − | 39.6919i | 0.228640 | − | 1.29668i | −0.626964 | − | 0.779048i | \(-0.715703\pi\) |
0.855604 | − | 0.517631i | \(-0.173186\pi\) | |||||||
\(938\) | −5.24296 | − | 11.2436i | −0.171189 | − | 0.367115i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.706490 | − | 8.07522i | −0.0230432 | − | 0.263384i | ||||
\(941\) | −4.06282 | + | 4.84188i | −0.132444 | + | 0.157841i | −0.828190 | − | 0.560447i | \(-0.810629\pi\) |
0.695746 | + | 0.718288i | \(0.255074\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 22.8999 | − | 32.7044i | 0.745722 | − | 1.06500i | ||||
\(944\) | −4.05338 | + | 5.78883i | −0.131926 | + | 0.188410i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 36.6794 | − | 43.7128i | 1.19255 | − | 1.42123i | ||||
\(947\) | −3.87291 | − | 44.2676i | −0.125853 | − | 1.43850i | −0.752187 | − | 0.658949i | \(-0.771001\pi\) |
0.626335 | − | 0.779554i | \(-0.284554\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.6202 | + | 37.7867i | 0.571977 | + | 1.22661i | ||||
\(950\) | −0.184234 | + | 1.04484i | −0.00597734 | + | 0.0338992i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 9.75498 | − | 5.63204i | 0.316161 | − | 0.182535i | ||||
\(953\) | 25.8223 | − | 9.39854i | 0.836465 | − | 0.304448i | 0.111956 | − | 0.993713i | \(-0.464289\pi\) |
0.724510 | + | 0.689265i | \(0.242066\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.47534 | − | 5.33350i | −0.144819 | − | 0.172588i | ||||
\(956\) | −11.7308 | + | 11.7308i | −0.379401 | + | 0.379401i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 17.1850 | + | 6.25481i | 0.555221 | + | 0.202084i | ||||
\(959\) | −7.59638 | + | 1.33945i | −0.245300 | + | 0.0432530i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 21.4497i | 0.691925i | ||||||||
\(962\) | 24.8209 | + | 17.6896i | 0.800259 | + | 0.570337i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −4.85829 | + | 3.40181i | −0.156475 | + | 0.109565i | ||||
\(965\) | −3.00390 | − | 17.0359i | −0.0966988 | − | 0.548406i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.54538 | − | 40.5239i | 0.114012 | − | 1.30316i | −0.696550 | − | 0.717508i | \(-0.745282\pi\) |
0.810562 | − | 0.585653i | \(-0.199162\pi\) | |||||||
\(968\) | 11.9917 | + | 11.9917i | 0.385428 | + | 0.385428i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.33779 | − | 16.1889i | −0.139278 | − | 0.519793i | ||||
\(971\) | −0.0161464 | − | 0.0443619i | −0.000518162 | − | 0.00142364i | 0.939433 | − | 0.342732i | \(-0.111352\pi\) |
−0.939951 | + | 0.341308i | \(0.889130\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 25.0848 | + | 14.4827i | 0.804182 | + | 0.464295i | ||||
\(974\) | 36.2956 | + | 6.39990i | 1.16299 | + | 0.205066i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.75464 | + | 6.54841i | −0.0561647 | + | 0.209609i | ||||
\(977\) | 50.8959 | − | 4.45281i | 1.62830 | − | 0.142458i | 0.763927 | − | 0.645303i | \(-0.223269\pi\) |
0.864377 | + | 0.502845i | \(0.167713\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.36561 | − | 2.92856i | 0.0436451 | − | 0.0935972i | ||||
\(980\) | −3.91411 | − | 2.74069i | −0.125032 | − | 0.0875482i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 13.7378 | + | 6.40602i | 0.438390 | + | 0.204424i | ||||
\(983\) | −35.1130 | − | 29.4633i | −1.11993 | − | 0.939734i | −0.121331 | − | 0.992612i | \(-0.538716\pi\) |
−0.998601 | + | 0.0528776i | \(0.983161\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.47133 | + | 1.73399i | 0.206194 | + | 0.0552495i | ||||
\(986\) | 37.6381 | − | 17.5509i | 1.19864 | − | 0.558935i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.11135 | − | 1.92492i | 0.0353568 | − | 0.0612397i | ||||
\(989\) | 31.5567 | + | 54.6578i | 1.00344 | + | 1.73802i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 14.9237 | − | 3.99880i | 0.474067 | − | 0.127026i | −0.0138715 | − | 0.999904i | \(-0.504416\pi\) |
0.487939 | + | 0.872878i | \(0.337749\pi\) | |||||||
\(992\) | 5.54786 | − | 4.65521i | 0.176145 | − | 0.147803i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.03469 | + | 0.265501i | 0.0962545 | + | 0.00842118i | ||||
\(995\) | −6.21737 | + | 17.0821i | −0.197104 | + | 0.541538i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.17999 | − | 3.11335i | −0.0690409 | − | 0.0986007i | 0.783147 | − | 0.621837i | \(-0.213613\pi\) |
−0.852188 | + | 0.523236i | \(0.824724\pi\) | |||||||
\(998\) | −27.8904 | −0.882855 | ||||||||
\(999\) | 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 | 666.2.bs.b.431.7 | yes | 96 | |
3.2 | odd | 2 | inner | 666.2.bs.b.431.2 | yes | 96 | |
37.17 | odd | 36 | inner | 666.2.bs.b.17.2 | ✓ | 96 | |
111.17 | even | 36 | inner | 666.2.bs.b.17.7 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.b.17.2 | ✓ | 96 | 37.17 | odd | 36 | inner | |
666.2.bs.b.17.7 | yes | 96 | 111.17 | even | 36 | inner | |
666.2.bs.b.431.2 | yes | 96 | 3.2 | odd | 2 | inner | |
666.2.bs.b.431.7 | yes | 96 | 1.1 | even | 1 | trivial |