Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 164.4 | ||
Character | \(\chi\) | \(=\) | 441.164 |
Dual form | 441.2.bn.a.320.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{25}{42}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.05598 | + | 2.19277i | −0.746693 | + | 1.55052i | 0.0856891 | + | 0.996322i | \(0.472691\pi\) |
−0.832382 | + | 0.554202i | \(0.813023\pi\) | |||||||
\(3\) | 1.37134 | − | 1.05803i | 0.791743 | − | 0.610855i | ||||
\(4\) | −2.44617 | − | 3.06740i | −1.22308 | − | 1.53370i | ||||
\(5\) | −3.22503 | − | 0.994791i | −1.44228 | − | 0.444884i | −0.527748 | − | 0.849401i | \(-0.676964\pi\) |
−0.914531 | + | 0.404517i | \(0.867440\pi\) | |||||||
\(6\) | 0.871911 | + | 4.12430i | 0.355956 | + | 1.68374i | ||||
\(7\) | −0.531380 | + | 2.59184i | −0.200843 | + | 0.979623i | ||||
\(8\) | 4.56367 | − | 1.04163i | 1.61350 | − | 0.368271i | ||||
\(9\) | 0.761139 | − | 2.90184i | 0.253713 | − | 0.967280i | ||||
\(10\) | 5.58693 | − | 6.02128i | 1.76674 | − | 1.90410i | ||||
\(11\) | 2.38848 | − | 0.178992i | 0.720154 | − | 0.0539681i | 0.290389 | − | 0.956909i | \(-0.406215\pi\) |
0.429765 | + | 0.902941i | \(0.358596\pi\) | |||||||
\(12\) | −6.59993 | − | 1.61832i | −1.90524 | − | 0.467168i | ||||
\(13\) | 5.81737 | − | 0.435952i | 1.61345 | − | 0.120911i | 0.762796 | − | 0.646640i | \(-0.223826\pi\) |
0.850652 | + | 0.525728i | \(0.176207\pi\) | |||||||
\(14\) | −5.12219 | − | 3.90214i | −1.36896 | − | 1.04289i | ||||
\(15\) | −5.47513 | + | 2.04799i | −1.41367 | + | 0.528789i | ||||
\(16\) | −0.789054 | + | 3.45707i | −0.197264 | + | 0.864268i | ||||
\(17\) | −1.47076 | − | 3.74743i | −0.356712 | − | 0.908886i | −0.990764 | − | 0.135596i | \(-0.956705\pi\) |
0.634053 | − | 0.773290i | \(-0.281390\pi\) | |||||||
\(18\) | 5.55932 | + | 4.73330i | 1.31034 | + | 1.11565i | ||||
\(19\) | 3.32577 | − | 1.92013i | 0.762984 | − | 0.440509i | −0.0673821 | − | 0.997727i | \(-0.521465\pi\) |
0.830366 | + | 0.557218i | \(0.188131\pi\) | |||||||
\(20\) | 4.83756 | + | 12.3259i | 1.08171 | + | 2.75615i | ||||
\(21\) | 2.01355 | + | 4.11651i | 0.439392 | + | 0.898295i | ||||
\(22\) | −2.12971 | + | 5.42641i | −0.454055 | + | 1.15691i | ||||
\(23\) | 0.156184 | + | 1.03621i | 0.0325667 | + | 0.216066i | 0.999195 | − | 0.0401172i | \(-0.0127731\pi\) |
−0.966628 | + | 0.256183i | \(0.917535\pi\) | |||||||
\(24\) | 5.15627 | − | 6.25694i | 1.05252 | − | 1.27719i | ||||
\(25\) | 5.28004 | + | 3.59987i | 1.05601 | + | 0.719974i | ||||
\(26\) | −5.18710 | + | 13.2165i | −1.01727 | + | 2.59197i | ||||
\(27\) | −2.02646 | − | 4.78471i | −0.389992 | − | 0.920818i | ||||
\(28\) | 9.25005 | − | 4.71012i | 1.74810 | − | 0.890130i | ||||
\(29\) | 5.17115 | − | 2.02953i | 0.960258 | − | 0.376874i | 0.167135 | − | 0.985934i | \(-0.446549\pi\) |
0.793124 | + | 0.609060i | \(0.208453\pi\) | |||||||
\(30\) | 1.29087 | − | 14.1684i | 0.235680 | − | 2.58678i | ||||
\(31\) | − | 2.94815i | − | 0.529504i | −0.964317 | − | 0.264752i | \(-0.914710\pi\) | ||
0.964317 | − | 0.264752i | \(-0.0852900\pi\) | |||||||
\(32\) | 0.572221 | + | 0.456331i | 0.101155 | + | 0.0806688i | ||||
\(33\) | 3.08604 | − | 2.77255i | 0.537210 | − | 0.482639i | ||||
\(34\) | 9.77037 | + | 0.732188i | 1.67560 | + | 0.125569i | ||||
\(35\) | 4.29206 | − | 7.83016i | 0.725490 | − | 1.32354i | ||||
\(36\) | −10.7630 | + | 4.76367i | −1.79383 | + | 0.793945i | ||||
\(37\) | 11.0077 | + | 1.65914i | 1.80965 | + | 0.272761i | 0.964942 | − | 0.262464i | \(-0.0845352\pi\) |
0.844709 | + | 0.535225i | \(0.179773\pi\) | |||||||
\(38\) | 0.698459 | + | 9.32029i | 0.113305 | + | 1.51195i | ||||
\(39\) | 7.51633 | − | 6.75280i | 1.20358 | − | 1.08131i | ||||
\(40\) | −15.7542 | − | 1.18061i | −2.49096 | − | 0.186672i | ||||
\(41\) | −3.77830 | + | 3.50575i | −0.590071 | + | 0.547506i | −0.917687 | − | 0.397305i | \(-0.869945\pi\) |
0.327616 | + | 0.944811i | \(0.393755\pi\) | |||||||
\(42\) | −11.1528 | + | 0.0682852i | −1.72092 | + | 0.0105366i | ||||
\(43\) | −2.94822 | − | 2.73554i | −0.449599 | − | 0.417167i | 0.422602 | − | 0.906316i | \(-0.361117\pi\) |
−0.872200 | + | 0.489149i | \(0.837307\pi\) | |||||||
\(44\) | −6.39167 | − | 6.88858i | −0.963581 | − | 1.03849i | ||||
\(45\) | −5.34142 | + | 8.60135i | −0.796252 | + | 1.28221i | ||||
\(46\) | −2.43711 | − | 0.751749i | −0.359332 | − | 0.110839i | ||||
\(47\) | −2.68897 | − | 1.29494i | −0.392226 | − | 0.188886i | 0.227367 | − | 0.973809i | \(-0.426988\pi\) |
−0.619593 | + | 0.784923i | \(0.712702\pi\) | |||||||
\(48\) | 2.57563 | + | 5.57566i | 0.371760 | + | 0.804777i | ||||
\(49\) | −6.43527 | − | 2.75451i | −0.919324 | − | 0.393501i | ||||
\(50\) | −13.4693 | + | 7.77652i | −1.90485 | + | 1.09977i | ||||
\(51\) | −5.98181 | − | 3.58289i | −0.837621 | − | 0.501705i | ||||
\(52\) | −15.5675 | − | 16.7778i | −2.15882 | − | 2.32666i | ||||
\(53\) | 1.05930 | + | 7.02802i | 0.145506 | + | 0.965372i | 0.935771 | + | 0.352607i | \(0.114705\pi\) |
−0.790265 | + | 0.612765i | \(0.790057\pi\) | |||||||
\(54\) | 12.6317 | + | 0.609015i | 1.71896 | + | 0.0828764i | ||||
\(55\) | −7.88100 | − | 1.79879i | −1.06267 | − | 0.242548i | ||||
\(56\) | 0.274689 | + | 12.3818i | 0.0367069 | + | 1.65459i | ||||
\(57\) | 2.52919 | − | 6.15192i | 0.335000 | − | 0.814842i | ||||
\(58\) | −1.01036 | + | 13.4823i | −0.132667 | + | 1.77031i | ||||
\(59\) | −0.112564 | + | 0.493175i | −0.0146546 | + | 0.0642059i | −0.981727 | − | 0.190297i | \(-0.939055\pi\) |
0.967072 | + | 0.254503i | \(0.0819119\pi\) | |||||||
\(60\) | 19.6751 | + | 11.7847i | 2.54005 | + | 1.52140i | ||||
\(61\) | −5.84045 | − | 4.65761i | −0.747794 | − | 0.596345i | 0.173673 | − | 0.984803i | \(-0.444436\pi\) |
−0.921466 | + | 0.388458i | \(0.873008\pi\) | |||||||
\(62\) | 6.46463 | + | 3.11320i | 0.821008 | + | 0.395377i | ||||
\(63\) | 7.11665 | + | 3.51473i | 0.896613 | + | 0.442814i | ||||
\(64\) | −7.99452 | + | 3.84996i | −0.999315 | + | 0.481245i | ||||
\(65\) | −19.1949 | − | 4.38111i | −2.38083 | − | 0.543410i | ||||
\(66\) | 2.82076 | + | 9.69474i | 0.347212 | + | 1.19334i | ||||
\(67\) | −1.32842 | −0.162293 | −0.0811463 | − | 0.996702i | \(-0.525858\pi\) | ||||
−0.0811463 | + | 0.996702i | \(0.525858\pi\) | |||||||
\(68\) | −7.89715 | + | 13.6783i | −0.957670 | + | 1.65873i | ||||
\(69\) | 1.31053 | + | 1.25575i | 0.157769 | + | 0.151175i | ||||
\(70\) | 12.6374 | + | 17.6800i | 1.51046 | + | 2.11317i | ||||
\(71\) | 8.15167 | − | 6.50074i | 0.967426 | − | 0.771496i | −0.00612169 | − | 0.999981i | \(-0.501949\pi\) |
0.973547 | + | 0.228485i | \(0.0733772\pi\) | |||||||
\(72\) | 0.450949 | − | 14.0359i | 0.0531449 | − | 1.65414i | ||||
\(73\) | 9.25157 | + | 0.693309i | 1.08281 | + | 0.0811457i | 0.604164 | − | 0.796860i | \(-0.293507\pi\) |
0.478650 | + | 0.878006i | \(0.341126\pi\) | |||||||
\(74\) | −15.2620 | + | 22.3853i | −1.77418 | + | 2.60224i | ||||
\(75\) | 11.0495 | − | 0.649808i | 1.27589 | − | 0.0750334i | ||||
\(76\) | −14.0252 | − | 5.50449i | −1.60880 | − | 0.631408i | ||||
\(77\) | −0.805274 | + | 6.28568i | −0.0917694 | + | 0.716319i | ||||
\(78\) | 6.87022 | + | 23.6124i | 0.777900 | + | 2.67358i | ||||
\(79\) | −6.76236 | −0.760825 | −0.380412 | − | 0.924817i | \(-0.624218\pi\) | ||||
−0.380412 | + | 0.924817i | \(0.624218\pi\) | |||||||
\(80\) | 5.98379 | − | 10.3642i | 0.669008 | − | 1.15876i | ||||
\(81\) | −7.84134 | − | 4.41740i | −0.871260 | − | 0.490823i | ||||
\(82\) | −3.69749 | − | 11.9870i | −0.408319 | − | 1.32374i | ||||
\(83\) | 1.27459 | − | 17.0082i | 0.139904 | − | 1.86689i | −0.280896 | − | 0.959738i | \(-0.590632\pi\) |
0.420800 | − | 0.907153i | \(-0.361749\pi\) | |||||||
\(84\) | 7.70149 | − | 16.2460i | 0.840302 | − | 1.77259i | ||||
\(85\) | 1.01533 | + | 13.5487i | 0.110129 | + | 1.46956i | ||||
\(86\) | 9.11169 | − | 3.57608i | 0.982539 | − | 0.385618i | ||||
\(87\) | 4.94409 | − | 8.25441i | 0.530062 | − | 0.884965i | ||||
\(88\) | 10.7138 | − | 3.30477i | 1.14210 | − | 0.352290i | ||||
\(89\) | −4.11475 | − | 2.80539i | −0.436162 | − | 0.297370i | 0.325262 | − | 0.945624i | \(-0.394547\pi\) |
−0.761425 | + | 0.648253i | \(0.775500\pi\) | |||||||
\(90\) | −13.2204 | − | 20.7954i | −1.39355 | − | 2.19203i | ||||
\(91\) | −1.96132 | + | 15.3093i | −0.205602 | + | 1.60486i | ||||
\(92\) | 2.79643 | − | 3.01384i | 0.291548 | − | 0.314214i | ||||
\(93\) | −3.11924 | − | 4.04291i | −0.323450 | − | 0.419231i | ||||
\(94\) | 5.67901 | − | 4.52886i | 0.585745 | − | 0.467116i | ||||
\(95\) | −12.6359 | + | 2.88405i | −1.29641 | + | 0.295897i | ||||
\(96\) | 1.26752 | + | 0.0203564i | 0.129366 | + | 0.00207762i | ||||
\(97\) | −4.19458 | − | 2.42174i | −0.425895 | − | 0.245891i | 0.271701 | − | 0.962382i | \(-0.412414\pi\) |
−0.697596 | + | 0.716491i | \(0.745747\pi\) | |||||||
\(98\) | 12.8355 | − | 11.2024i | 1.29659 | − | 1.13161i | ||||
\(99\) | 1.29856 | − | 7.06723i | 0.130510 | − | 0.710283i | ||||
\(100\) | −1.87363 | − | 25.0019i | −0.187363 | − | 2.50019i | ||||
\(101\) | 8.30631 | − | 7.70713i | 0.826509 | − | 0.766888i | −0.148533 | − | 0.988907i | \(-0.547455\pi\) |
0.975042 | + | 0.222019i | \(0.0712647\pi\) | |||||||
\(102\) | 14.1732 | − | 9.33328i | 1.40335 | − | 0.924132i | ||||
\(103\) | −2.93553 | + | 9.51676i | −0.289247 | + | 0.937714i | 0.688018 | + | 0.725693i | \(0.258481\pi\) |
−0.977265 | + | 0.212021i | \(0.931995\pi\) | |||||||
\(104\) | 26.0945 | − | 8.04908i | 2.55877 | − | 0.789277i | ||||
\(105\) | −2.39869 | − | 15.2789i | −0.234088 | − | 1.49107i | ||||
\(106\) | −16.5294 | − | 5.09866i | −1.60548 | − | 0.495226i | ||||
\(107\) | −9.73519 | + | 14.2789i | −0.941136 | + | 1.38039i | −0.0163661 | + | 0.999866i | \(0.505210\pi\) |
−0.924770 | + | 0.380527i | \(0.875743\pi\) | |||||||
\(108\) | −9.71956 | + | 17.9202i | −0.935265 | + | 1.72437i | ||||
\(109\) | −4.90010 | + | 3.34083i | −0.469345 | + | 0.319994i | −0.774793 | − | 0.632215i | \(-0.782146\pi\) |
0.305448 | + | 0.952209i | \(0.401194\pi\) | |||||||
\(110\) | 12.2665 | − | 15.3817i | 1.16957 | − | 1.46659i | ||||
\(111\) | 16.8507 | − | 9.37123i | 1.59940 | − | 0.889477i | ||||
\(112\) | −8.54089 | − | 3.88212i | −0.807038 | − | 0.366826i | ||||
\(113\) | 5.95114 | − | 8.72872i | 0.559836 | − | 0.821129i | −0.437095 | − | 0.899415i | \(-0.643993\pi\) |
0.996931 | + | 0.0782868i | \(0.0249450\pi\) | |||||||
\(114\) | 10.8190 | + | 12.0423i | 1.01329 | + | 1.12786i | ||||
\(115\) | 0.527118 | − | 3.49720i | 0.0491540 | − | 0.326116i | ||||
\(116\) | −18.8749 | − | 10.8974i | −1.75249 | − | 1.01180i | ||||
\(117\) | 3.16276 | − | 17.2129i | 0.292398 | − | 1.59133i | ||||
\(118\) | −0.962554 | − | 0.767611i | −0.0886103 | − | 0.0706643i | ||||
\(119\) | 10.4943 | − | 1.82066i | 0.962009 | − | 0.166900i | ||||
\(120\) | −22.8535 | + | 15.0494i | −2.08623 | + | 1.37382i | ||||
\(121\) | −5.20433 | + | 0.784427i | −0.473121 | + | 0.0713115i | ||||
\(122\) | 16.3805 | − | 7.88843i | 1.48302 | − | 0.714185i | ||||
\(123\) | −1.47213 | + | 8.80513i | −0.132738 | + | 0.793931i | ||||
\(124\) | −9.04316 | + | 7.21168i | −0.812100 | + | 0.647628i | ||||
\(125\) | −2.92588 | − | 3.66894i | −0.261699 | − | 0.328160i | ||||
\(126\) | −15.2221 | + | 11.8937i | −1.35609 | + | 1.05957i | ||||
\(127\) | 3.67686 | − | 4.61063i | 0.326268 | − | 0.409128i | −0.591461 | − | 0.806334i | \(-0.701449\pi\) |
0.917730 | + | 0.397206i | \(0.130020\pi\) | |||||||
\(128\) | − | 20.1318i | − | 1.77942i | ||||||
\(129\) | −6.93730 | − | 0.632052i | −0.610795 | − | 0.0556491i | ||||
\(130\) | 29.8763 | − | 37.4637i | 2.62032 | − | 3.28578i | ||||
\(131\) | 14.2662 | + | 13.2371i | 1.24644 | + | 1.15653i | 0.981334 | + | 0.192310i | \(0.0615979\pi\) |
0.265107 | + | 0.964219i | \(0.414593\pi\) | |||||||
\(132\) | −16.0535 | − | 2.68399i | −1.39728 | − | 0.233611i | ||||
\(133\) | 3.20943 | + | 9.64019i | 0.278293 | + | 0.835910i | ||||
\(134\) | 1.40279 | − | 2.91293i | 0.121183 | − | 0.251639i | ||||
\(135\) | 1.77561 | + | 17.4468i | 0.152820 | + | 1.50158i | ||||
\(136\) | −10.6155 | − | 15.5701i | −0.910272 | − | 1.33512i | ||||
\(137\) | 5.56891 | + | 18.0540i | 0.475784 | + | 1.54245i | 0.802098 | + | 0.597193i | \(0.203717\pi\) |
−0.326314 | + | 0.945262i | \(0.605807\pi\) | |||||||
\(138\) | −4.13748 | + | 1.54764i | −0.352206 | + | 0.131744i | ||||
\(139\) | −10.9195 | − | 11.7684i | −0.926177 | − | 0.998181i | −1.00000 | 0.000910049i | \(-0.999710\pi\) | |
0.0738226 | − | 0.997271i | \(-0.476480\pi\) | |||||||
\(140\) | −34.5173 | + | 5.98844i | −2.91725 | + | 0.506115i | ||||
\(141\) | −5.05757 | + | 1.06921i | −0.425924 | + | 0.0900439i | ||||
\(142\) | 5.64662 | + | 24.7394i | 0.473853 | + | 2.07609i | ||||
\(143\) | 13.8167 | − | 2.08253i | 1.15541 | − | 0.174150i | ||||
\(144\) | 9.43129 | + | 4.92102i | 0.785941 | + | 0.410085i | ||||
\(145\) | −18.6961 | + | 1.40108i | −1.55263 | + | 0.116353i | ||||
\(146\) | −11.2898 | + | 19.5545i | −0.934348 | + | 1.61834i | ||||
\(147\) | −11.7393 | + | 3.03136i | −0.968240 | + | 0.250022i | ||||
\(148\) | −21.8374 | − | 37.8235i | −1.79502 | − | 3.10907i | ||||
\(149\) | −0.789582 | − | 1.15810i | −0.0646851 | − | 0.0948756i | 0.792533 | − | 0.609829i | \(-0.208762\pi\) |
−0.857218 | + | 0.514953i | \(0.827809\pi\) | |||||||
\(150\) | −10.2432 | + | 24.9152i | −0.836354 | + | 2.03432i | ||||
\(151\) | −4.34575 | + | 11.0728i | −0.353652 | + | 0.901091i | 0.637750 | + | 0.770243i | \(0.279865\pi\) |
−0.991402 | + | 0.130848i | \(0.958230\pi\) | |||||||
\(152\) | 13.1777 | − | 12.2271i | 1.06885 | − | 0.991748i | ||||
\(153\) | −11.9939 | + | 1.41559i | −0.969649 | + | 0.114444i | ||||
\(154\) | −12.9327 | − | 8.40335i | −1.04215 | − | 0.677161i | ||||
\(155\) | −2.93280 | + | 9.50789i | −0.235568 | + | 0.763692i | ||||
\(156\) | −39.0997 | − | 6.53711i | −3.13049 | − | 0.523387i | ||||
\(157\) | 19.9522 | + | 4.55396i | 1.59236 | + | 0.363445i | 0.924602 | − | 0.380934i | \(-0.124398\pi\) |
0.667757 | + | 0.744380i | \(0.267255\pi\) | |||||||
\(158\) | 7.14094 | − | 14.8283i | 0.568103 | − | 1.17968i | ||||
\(159\) | 8.88853 | + | 8.51701i | 0.704906 | + | 0.675443i | ||||
\(160\) | −1.39148 | − | 2.04093i | −0.110006 | − | 0.161349i | ||||
\(161\) | −2.76870 | − | 0.145819i | −0.218204 | − | 0.0114922i | ||||
\(162\) | 17.9667 | − | 12.5296i | 1.41160 | − | 0.984415i | ||||
\(163\) | −1.23034 | + | 0.379509i | −0.0963675 | + | 0.0297255i | −0.342564 | − | 0.939494i | \(-0.611295\pi\) |
0.246196 | + | 0.969220i | \(0.420819\pi\) | |||||||
\(164\) | 19.9959 | + | 3.01389i | 1.56142 | + | 0.235346i | ||||
\(165\) | −12.7107 | + | 5.87160i | −0.989525 | + | 0.457103i | ||||
\(166\) | 35.9491 | + | 20.7553i | 2.79019 | + | 1.61092i | ||||
\(167\) | 13.9914 | + | 2.10887i | 1.08269 | + | 0.163189i | 0.666068 | − | 0.745891i | \(-0.267976\pi\) |
0.416621 | + | 0.909080i | \(0.363214\pi\) | |||||||
\(168\) | 13.4770 | + | 16.6890i | 1.03978 | + | 1.28759i | ||||
\(169\) | 20.7969 | − | 3.13463i | 1.59976 | − | 0.241126i | ||||
\(170\) | −30.7814 | − | 12.0808i | −2.36082 | − | 0.926555i | ||||
\(171\) | −3.04055 | − | 11.1123i | −0.232517 | − | 0.849782i | ||||
\(172\) | −1.17917 | + | 15.7350i | −0.0899110 | + | 1.19978i | ||||
\(173\) | 0.604747 | + | 0.758329i | 0.0459781 | + | 0.0576547i | 0.804289 | − | 0.594239i | \(-0.202546\pi\) |
−0.758311 | + | 0.651893i | \(0.773975\pi\) | |||||||
\(174\) | 12.8792 | + | 19.5578i | 0.976366 | + | 1.48267i | ||||
\(175\) | −12.1360 | + | 11.7721i | −0.917395 | + | 0.889889i | ||||
\(176\) | −1.26585 | + | 8.39839i | −0.0954173 | + | 0.633052i | ||||
\(177\) | 0.367431 | + | 0.795405i | 0.0276178 | + | 0.0597863i | ||||
\(178\) | 10.4967 | − | 6.06026i | 0.786759 | − | 0.454236i | ||||
\(179\) | 3.18168 | − | 1.24872i | 0.237810 | − | 0.0933336i | −0.243443 | − | 0.969915i | \(-0.578277\pi\) |
0.481253 | + | 0.876582i | \(0.340182\pi\) | |||||||
\(180\) | 39.4498 | − | 4.65610i | 2.94041 | − | 0.347045i | ||||
\(181\) | 8.19476 | + | 17.0166i | 0.609112 | + | 1.26483i | 0.946268 | + | 0.323385i | \(0.104821\pi\) |
−0.337156 | + | 0.941449i | \(0.609465\pi\) | |||||||
\(182\) | −31.4988 | − | 20.4671i | −2.33485 | − | 1.51713i | ||||
\(183\) | −12.9371 | − | 0.207771i | −0.956340 | − | 0.0153589i | ||||
\(184\) | 1.79213 | + | 4.56626i | 0.132117 | + | 0.336629i | ||||
\(185\) | −33.8496 | − | 16.3011i | −2.48867 | − | 1.19848i | ||||
\(186\) | 12.1591 | − | 2.57053i | 0.891545 | − | 0.188480i | ||||
\(187\) | −4.18364 | − | 8.68742i | −0.305938 | − | 0.635287i | ||||
\(188\) | 2.60557 | + | 11.4158i | 0.190031 | + | 0.832580i | ||||
\(189\) | 13.4780 | − | 2.70975i | 0.980382 | − | 0.197106i | ||||
\(190\) | 7.01919 | − | 30.7531i | 0.509225 | − | 2.23106i | ||||
\(191\) | −17.3709 | + | 3.96480i | −1.25691 | + | 0.286883i | −0.798575 | − | 0.601895i | \(-0.794413\pi\) |
−0.458339 | + | 0.888777i | \(0.651556\pi\) | |||||||
\(192\) | −6.88981 | + | 13.7380i | −0.497229 | + | 0.991458i | ||||
\(193\) | 1.49613 | + | 6.55499i | 0.107694 | + | 0.471839i | 0.999800 | + | 0.0200118i | \(0.00637038\pi\) |
−0.892106 | + | 0.451827i | \(0.850772\pi\) | |||||||
\(194\) | 9.73974 | − | 6.64044i | 0.699272 | − | 0.476756i | ||||
\(195\) | −30.9581 | + | 14.3008i | −2.21695 | + | 1.02410i | ||||
\(196\) | 7.29259 | + | 26.4775i | 0.520899 | + | 1.89125i | ||||
\(197\) | 8.28891i | 0.590561i | 0.955411 | + | 0.295280i | \(0.0954130\pi\) | ||||
−0.955411 | + | 0.295280i | \(0.904587\pi\) | |||||||
\(198\) | 14.1256 | + | 10.3103i | 1.00386 | + | 0.732723i | ||||
\(199\) | 2.43911 | − | 7.90739i | 0.172904 | − | 0.560540i | −0.827095 | − | 0.562062i | \(-0.810008\pi\) |
0.999999 | + | 0.00152198i | \(0.000484460\pi\) | |||||||
\(200\) | 27.8461 | + | 10.9288i | 1.96902 | + | 0.772782i | ||||
\(201\) | −1.82172 | + | 1.40551i | −0.128494 | + | 0.0991372i | ||||
\(202\) | 8.12866 | + | 26.3525i | 0.571930 | + | 1.85415i | ||||
\(203\) | 2.51236 | + | 14.4812i | 0.176333 | + | 1.01638i | ||||
\(204\) | 3.64237 | + | 27.1130i | 0.255017 | + | 1.89829i | ||||
\(205\) | 15.6726 | − | 7.54754i | 1.09462 | − | 0.527143i | ||||
\(206\) | −17.7682 | − | 16.4865i | −1.23797 | − | 1.14867i | ||||
\(207\) | 3.12581 | + | 0.335482i | 0.217259 | + | 0.0233176i | ||||
\(208\) | −3.08310 | + | 20.4551i | −0.213775 | + | 1.41830i | ||||
\(209\) | 7.59985 | − | 5.18149i | 0.525693 | − | 0.358411i | ||||
\(210\) | 36.0362 | + | 10.8745i | 2.48673 | + | 0.750413i | ||||
\(211\) | −8.09922 | − | 5.52196i | −0.557574 | − | 0.380147i | 0.251498 | − | 0.967858i | \(-0.419077\pi\) |
−0.809071 | + | 0.587711i | \(0.800029\pi\) | |||||||
\(212\) | 18.9665 | − | 20.4410i | 1.30262 | − | 1.40390i | ||||
\(213\) | 4.30071 | − | 17.5394i | 0.294680 | − | 1.20178i | ||||
\(214\) | −21.0302 | − | 36.4253i | −1.43759 | − | 2.48998i | ||||
\(215\) | 6.78680 | + | 11.7551i | 0.462856 | + | 0.801690i | ||||
\(216\) | −14.2320 | − | 19.7250i | −0.968364 | − | 1.34212i | ||||
\(217\) | 7.64114 | + | 1.56659i | 0.518714 | + | 0.106347i | ||||
\(218\) | −2.15126 | − | 14.2727i | −0.145702 | − | 0.966667i | ||||
\(219\) | 13.4206 | − | 8.83769i | 0.906878 | − | 0.597196i | ||||
\(220\) | 13.7607 | + | 28.5743i | 0.927743 | + | 1.92648i | ||||
\(221\) | −10.1897 | − | 21.1590i | −0.685430 | − | 1.42331i | ||||
\(222\) | 2.75493 | + | 46.8455i | 0.184899 | + | 3.14407i | ||||
\(223\) | 0.809201 | + | 5.36870i | 0.0541881 | + | 0.359515i | 0.999449 | + | 0.0331984i | \(0.0105693\pi\) |
−0.945261 | + | 0.326316i | \(0.894193\pi\) | |||||||
\(224\) | −1.48681 | + | 1.24062i | −0.0993413 | + | 0.0828925i | ||||
\(225\) | 14.4651 | − | 12.5818i | 0.964339 | − | 0.838788i | ||||
\(226\) | 12.8558 | + | 22.2669i | 0.855154 | + | 1.48117i | ||||
\(227\) | −7.91492 | − | 13.7090i | −0.525332 | − | 0.909901i | −0.999565 | − | 0.0295017i | \(-0.990608\pi\) |
0.474233 | − | 0.880399i | \(-0.342725\pi\) | |||||||
\(228\) | −25.0572 | + | 7.29060i | −1.65946 | + | 0.482832i | ||||
\(229\) | −11.3290 | + | 12.2098i | −0.748642 | + | 0.806844i | −0.986379 | − | 0.164486i | \(-0.947404\pi\) |
0.237738 | + | 0.971329i | \(0.423594\pi\) | |||||||
\(230\) | 7.11193 | + | 4.84883i | 0.468947 | + | 0.319723i | ||||
\(231\) | 5.54614 | + | 9.47179i | 0.364909 | + | 0.623198i | ||||
\(232\) | 21.4854 | − | 14.6485i | 1.41059 | − | 0.961722i | ||||
\(233\) | 1.55186 | − | 10.2959i | 0.101666 | − | 0.674507i | −0.878708 | − | 0.477359i | \(-0.841594\pi\) |
0.980374 | − | 0.197148i | \(-0.0631679\pi\) | |||||||
\(234\) | 34.4041 | + | 25.1117i | 2.24907 | + | 1.64161i | ||||
\(235\) | 7.38381 | + | 6.85118i | 0.481667 | + | 0.446921i | ||||
\(236\) | 1.78811 | − | 0.861110i | 0.116396 | − | 0.0560535i | ||||
\(237\) | −9.27348 | + | 7.15479i | −0.602377 | + | 0.464753i | ||||
\(238\) | −7.08949 | + | 24.9342i | −0.459544 | + | 1.61624i | ||||
\(239\) | 3.39727 | + | 11.0137i | 0.219751 | + | 0.712416i | 0.996575 | + | 0.0826974i | \(0.0263535\pi\) |
−0.776824 | + | 0.629718i | \(0.783170\pi\) | |||||||
\(240\) | −2.75988 | − | 20.5439i | −0.178149 | − | 1.32610i | ||||
\(241\) | −9.02510 | − | 3.54209i | −0.581358 | − | 0.228166i | 0.0563933 | − | 0.998409i | \(-0.482040\pi\) |
−0.637751 | + | 0.770243i | \(0.720135\pi\) | |||||||
\(242\) | 3.77562 | − | 12.2403i | 0.242706 | − | 0.786833i | ||||
\(243\) | −15.4269 | + | 2.23863i | −0.989635 | + | 0.143608i | ||||
\(244\) | 29.3083i | 1.87627i | ||||||||
\(245\) | 18.0138 | + | 15.2851i | 1.15086 | + | 0.976531i | ||||
\(246\) | −17.7531 | − | 12.5261i | −1.13190 | − | 0.798636i | ||||
\(247\) | 18.5102 | − | 12.6200i | 1.17777 | − | 0.802992i | ||||
\(248\) | −3.07088 | − | 13.4544i | −0.195001 | − | 0.854356i | ||||
\(249\) | −16.2473 | − | 24.6725i | −1.02963 | − | 1.56356i | ||||
\(250\) | 11.1348 | − | 2.54145i | 0.704228 | − | 0.160735i | ||||
\(251\) | 0.0790384 | − | 0.346290i | 0.00498886 | − | 0.0218576i | −0.972372 | − | 0.233436i | \(-0.925003\pi\) |
0.977361 | + | 0.211578i | \(0.0678603\pi\) | |||||||
\(252\) | −6.62745 | − | 30.4272i | −0.417490 | − | 1.91673i | ||||
\(253\) | 0.558518 | + | 2.44703i | 0.0351137 | + | 0.153843i | ||||
\(254\) | 6.22737 | + | 12.9313i | 0.390740 | + | 0.811380i | ||||
\(255\) | 15.7273 | + | 17.5056i | 0.984883 | + | 1.09624i | ||||
\(256\) | 28.1555 | + | 13.5590i | 1.75972 | + | 0.847436i | ||||
\(257\) | 5.32283 | + | 13.5623i | 0.332029 | + | 0.845996i | 0.995230 | + | 0.0975547i | \(0.0311021\pi\) |
−0.663201 | + | 0.748441i | \(0.730803\pi\) | |||||||
\(258\) | 8.71162 | − | 14.5445i | 0.542361 | − | 0.905499i | ||||
\(259\) | −10.1495 | + | 27.6485i | −0.630659 | + | 1.71799i | ||||
\(260\) | 33.5153 | + | 69.5953i | 2.07853 | + | 4.31612i | ||||
\(261\) | −1.95340 | − | 16.5506i | −0.120912 | − | 1.02446i | ||||
\(262\) | −44.0907 | + | 17.3043i | −2.72393 | + | 1.06907i | ||||
\(263\) | −20.3496 | + | 11.7488i | −1.25481 | + | 0.724465i | −0.972061 | − | 0.234729i | \(-0.924580\pi\) |
−0.282749 | + | 0.959194i | \(0.591246\pi\) | |||||||
\(264\) | 11.1957 | − | 15.8675i | 0.689048 | − | 0.976578i | ||||
\(265\) | 3.57512 | − | 23.7194i | 0.219618 | − | 1.45707i | ||||
\(266\) | −24.5278 | − | 3.14232i | −1.50390 | − | 0.192668i | ||||
\(267\) | −8.61090 | + | 0.506397i | −0.526978 | + | 0.0309910i | ||||
\(268\) | 3.24954 | + | 4.07480i | 0.198498 | + | 0.248908i | ||||
\(269\) | 0.661142 | − | 8.82233i | 0.0403106 | − | 0.537907i | −0.940094 | − | 0.340914i | \(-0.889263\pi\) |
0.980405 | − | 0.196993i | \(-0.0631176\pi\) | |||||||
\(270\) | −40.1318 | − | 14.5300i | −2.44234 | − | 0.884267i | ||||
\(271\) | 8.20495 | + | 3.22021i | 0.498415 | + | 0.195614i | 0.601213 | − | 0.799089i | \(-0.294684\pi\) |
−0.102798 | + | 0.994702i | \(0.532779\pi\) | |||||||
\(272\) | 14.1157 | − | 2.12759i | 0.855888 | − | 0.129004i | ||||
\(273\) | 13.5081 | + | 23.0694i | 0.817550 | + | 1.39623i | ||||
\(274\) | −45.4689 | − | 6.85334i | −2.74688 | − | 0.414025i | ||||
\(275\) | 13.2556 | + | 7.65314i | 0.799345 | + | 0.461502i | ||||
\(276\) | 0.646120 | − | 7.09170i | 0.0388919 | − | 0.426870i | ||||
\(277\) | −8.59885 | − | 1.29607i | −0.516655 | − | 0.0778732i | −0.114461 | − | 0.993428i | \(-0.536514\pi\) |
−0.402194 | + | 0.915554i | \(0.631752\pi\) | |||||||
\(278\) | 37.3362 | − | 11.5167i | 2.23927 | − | 0.690725i | ||||
\(279\) | −8.55506 | − | 2.24395i | −0.512178 | − | 0.134342i | ||||
\(280\) | 11.4314 | − | 40.2050i | 0.683159 | − | 2.40271i | ||||
\(281\) | 5.40252 | + | 7.92405i | 0.322288 | + | 0.472709i | 0.952855 | − | 0.303425i | \(-0.0981303\pi\) |
−0.630568 | + | 0.776134i | \(0.717178\pi\) | |||||||
\(282\) | 2.99617 | − | 12.2192i | 0.178419 | − | 0.727640i | ||||
\(283\) | −8.34524 | + | 17.3291i | −0.496073 | + | 1.03011i | 0.491196 | + | 0.871049i | \(0.336560\pi\) |
−0.987269 | + | 0.159057i | \(0.949155\pi\) | |||||||
\(284\) | −39.8807 | − | 9.10252i | −2.36649 | − | 0.540135i | ||||
\(285\) | −14.2766 | + | 17.3241i | −0.845674 | + | 1.02619i | ||||
\(286\) | −10.0237 | + | 32.4959i | −0.592711 | + | 1.92152i | ||||
\(287\) | −7.07863 | − | 11.6556i | −0.417838 | − | 0.688010i | ||||
\(288\) | 1.75974 | − | 1.31316i | 0.103694 | − | 0.0773789i | ||||
\(289\) | 0.581754 | − | 0.539789i | 0.0342208 | − | 0.0317523i | ||||
\(290\) | 16.6705 | − | 42.4758i | 0.978926 | − | 2.49426i | ||||
\(291\) | −8.31447 | + | 1.11697i | −0.487403 | + | 0.0654779i | ||||
\(292\) | −20.5042 | − | 30.0742i | −1.19992 | − | 1.75996i | ||||
\(293\) | −11.6475 | − | 20.1740i | −0.680453 | − | 1.17858i | −0.974843 | − | 0.222894i | \(-0.928450\pi\) |
0.294390 | − | 0.955685i | \(-0.404884\pi\) | |||||||
\(294\) | 5.74941 | − | 28.9426i | 0.335312 | − | 1.68797i | ||||
\(295\) | 0.853628 | − | 1.47853i | 0.0497002 | − | 0.0860832i | ||||
\(296\) | 51.9637 | − | 3.89414i | 3.02033 | − | 0.226342i | ||||
\(297\) | −5.69658 | − | 11.0655i | −0.330549 | − | 0.642084i | ||||
\(298\) | 3.37324 | − | 0.508435i | 0.195407 | − | 0.0294528i | ||||
\(299\) | 1.36032 | + | 5.95996i | 0.0786694 | + | 0.344673i | ||||
\(300\) | −29.0222 | − | 32.3037i | −1.67560 | − | 1.86505i | ||||
\(301\) | 8.65672 | − | 6.18769i | 0.498965 | − | 0.356653i | ||||
\(302\) | −19.6911 | − | 21.2219i | −1.13309 | − | 1.22118i | ||||
\(303\) | 3.23638 | − | 19.3574i | 0.185925 | − | 1.11206i | ||||
\(304\) | 4.01383 | + | 13.0125i | 0.230209 | + | 0.746319i | ||||
\(305\) | 14.2023 | + | 20.8310i | 0.813222 | + | 1.19278i | ||||
\(306\) | 9.56129 | − | 27.7947i | 0.546583 | − | 1.58892i | ||||
\(307\) | 0.264541 | − | 0.549326i | 0.0150982 | − | 0.0313517i | −0.893283 | − | 0.449494i | \(-0.851604\pi\) |
0.908382 | + | 0.418142i | \(0.137319\pi\) | |||||||
\(308\) | 21.2505 | − | 12.9057i | 1.21086 | − | 0.735372i | ||||
\(309\) | 6.04343 | + | 16.1566i | 0.343799 | + | 0.919116i | ||||
\(310\) | −17.7517 | − | 16.4711i | −1.00823 | − | 0.935497i | ||||
\(311\) | −14.4346 | + | 18.1004i | −0.818510 | + | 1.02638i | 0.180572 | + | 0.983562i | \(0.442205\pi\) |
−0.999083 | + | 0.0428179i | \(0.986366\pi\) | |||||||
\(312\) | 27.2682 | − | 38.6468i | 1.54376 | − | 2.18794i | ||||
\(313\) | − | 26.9852i | − | 1.52530i | −0.646814 | − | 0.762648i | \(-0.723899\pi\) | ||
0.646814 | − | 0.762648i | \(-0.276101\pi\) | |||||||
\(314\) | −31.0550 | + | 38.9417i | −1.75253 | + | 2.19761i | ||||
\(315\) | −19.4550 | − | 18.4147i | −1.09617 | − | 1.03755i | ||||
\(316\) | 16.5419 | + | 20.7429i | 0.930553 | + | 1.16688i | ||||
\(317\) | −4.53612 | + | 3.61744i | −0.254774 | + | 0.203175i | −0.742545 | − | 0.669796i | \(-0.766381\pi\) |
0.487771 | + | 0.872972i | \(0.337810\pi\) | |||||||
\(318\) | −28.0620 | + | 10.4967i | −1.57364 | + | 0.588625i | ||||
\(319\) | 11.9879 | − | 5.77308i | 0.671195 | − | 0.323231i | ||||
\(320\) | 29.6125 | − | 4.46337i | 1.65539 | − | 0.249510i | ||||
\(321\) | 1.75729 | + | 29.8813i | 0.0980822 | + | 1.66781i | ||||
\(322\) | 3.24345 | − | 5.91714i | 0.180750 | − | 0.329749i | ||||
\(323\) | −12.0870 | − | 9.63905i | −0.672538 | − | 0.536331i | ||||
\(324\) | 5.63130 | + | 34.8582i | 0.312850 | + | 1.93657i | ||||
\(325\) | 32.2853 | + | 18.6399i | 1.79087 | + | 1.03396i | ||||
\(326\) | 0.467040 | − | 3.09861i | 0.0258669 | − | 0.171616i | ||||
\(327\) | −3.18499 | + | 9.76588i | −0.176130 | + | 0.540054i | ||||
\(328\) | −13.5912 | + | 19.9347i | −0.750450 | + | 1.10071i | ||||
\(329\) | 4.78513 | − | 6.28126i | 0.263813 | − | 0.346297i | ||||
\(330\) | 0.547196 | − | 34.0719i | 0.0301222 | − | 1.87560i | ||||
\(331\) | −17.2656 | + | 21.6503i | −0.949001 | + | 1.19001i | 0.0326779 | + | 0.999466i | \(0.489596\pi\) |
−0.981679 | + | 0.190544i | \(0.938975\pi\) | |||||||
\(332\) | −55.2888 | + | 37.6952i | −3.03437 | + | 2.06880i | ||||
\(333\) | 13.1929 | − | 30.6797i | 0.722968 | − | 1.68124i | ||||
\(334\) | −19.3990 | + | 28.4531i | −1.06147 | + | 1.55688i | ||||
\(335\) | 4.28421 | + | 1.32150i | 0.234071 | + | 0.0722014i | ||||
\(336\) | −15.8199 | + | 3.71283i | −0.863044 | + | 0.202551i | ||||
\(337\) | 28.7321 | − | 8.86267i | 1.56514 | − | 0.482780i | 0.613418 | − | 0.789758i | \(-0.289794\pi\) |
0.951717 | + | 0.306978i | \(0.0993177\pi\) | |||||||
\(338\) | −15.0877 | + | 48.9131i | −0.820662 | + | 2.66052i | ||||
\(339\) | −1.07423 | − | 18.2665i | −0.0583443 | − | 0.992101i | ||||
\(340\) | 39.0756 | − | 36.2568i | 2.11917 | − | 1.96630i | ||||
\(341\) | −0.527696 | − | 7.04161i | −0.0285763 | − | 0.381324i | ||||
\(342\) | 27.5776 | + | 5.06721i | 1.49123 | + | 0.274004i | ||||
\(343\) | 10.5588 | − | 15.2155i | 0.570122 | − | 0.821560i | ||||
\(344\) | −16.3041 | − | 9.41319i | −0.879059 | − | 0.507525i | ||||
\(345\) | −2.97729 | − | 5.35355i | −0.160292 | − | 0.288226i | ||||
\(346\) | −2.30144 | + | 0.525290i | −0.123726 | + | 0.0282397i | ||||
\(347\) | −1.47662 | + | 1.17757i | −0.0792694 | + | 0.0632152i | −0.662323 | − | 0.749219i | \(-0.730429\pi\) |
0.583053 | + | 0.812434i | \(0.301858\pi\) | |||||||
\(348\) | −37.4137 | + | 5.02617i | −2.00558 | + | 0.269431i | ||||
\(349\) | −0.133869 | + | 0.144277i | −0.00716586 | + | 0.00772296i | −0.736625 | − | 0.676302i | \(-0.763582\pi\) |
0.729459 | + | 0.684025i | \(0.239772\pi\) | |||||||
\(350\) | −12.9982 | − | 39.0426i | −0.694781 | − | 2.08692i | ||||
\(351\) | −13.8746 | − | 26.9510i | −0.740569 | − | 1.43854i | ||||
\(352\) | 1.44842 | + | 0.987516i | 0.0772011 | + | 0.0526348i | ||||
\(353\) | 31.3965 | − | 9.68455i | 1.67107 | − | 0.515457i | 0.692508 | − | 0.721410i | \(-0.256506\pi\) |
0.978562 | + | 0.205954i | \(0.0660296\pi\) | |||||||
\(354\) | −2.13214 | − | 0.0342423i | −0.113322 | − | 0.00181996i | ||||
\(355\) | −32.7563 | + | 12.8559i | −1.73852 | + | 0.682321i | ||||
\(356\) | 1.46013 | + | 19.4840i | 0.0773865 | + | 1.03265i | ||||
\(357\) | 12.4649 | − | 13.6000i | 0.659712 | − | 0.719790i | ||||
\(358\) | −0.621649 | + | 8.29533i | −0.0328552 | + | 0.438422i | ||||
\(359\) | 5.75568 | + | 18.6594i | 0.303773 | + | 0.984808i | 0.970823 | + | 0.239795i | \(0.0770803\pi\) |
−0.667051 | + | 0.745012i | \(0.732443\pi\) | |||||||
\(360\) | −15.4171 | + | 44.8176i | −0.812552 | + | 2.36209i | ||||
\(361\) | −2.12617 | + | 3.68263i | −0.111904 | + | 0.193823i | ||||
\(362\) | −45.9670 | −2.41597 | ||||||||
\(363\) | −6.30695 | + | 6.58206i | −0.331029 | + | 0.345469i | ||||
\(364\) | 51.7576 | − | 31.4331i | 2.71284 | − | 1.64754i | ||||
\(365\) | −29.1469 | − | 11.4393i | −1.52562 | − | 0.598762i | ||||
\(366\) | 14.1170 | − | 28.1488i | 0.737907 | − | 1.47136i | ||||
\(367\) | 4.95159 | − | 7.26265i | 0.258471 | − | 0.379107i | −0.674966 | − | 0.737849i | \(-0.735842\pi\) |
0.933437 | + | 0.358742i | \(0.116794\pi\) | |||||||
\(368\) | −3.70551 | − | 0.277689i | −0.193163 | − | 0.0144756i | ||||
\(369\) | 7.29731 | + | 13.6324i | 0.379883 | + | 0.709673i | ||||
\(370\) | 71.4893 | − | 57.0108i | 3.71655 | − | 2.96385i | ||||
\(371\) | −18.7784 | − | 0.989005i | −0.974925 | − | 0.0513466i | ||||
\(372\) | −4.77105 | + | 19.4576i | −0.247367 | + | 1.00883i | ||||
\(373\) | 2.80972 | − | 4.86658i | 0.145482 | − | 0.251982i | −0.784071 | − | 0.620672i | \(-0.786860\pi\) |
0.929553 | + | 0.368689i | \(0.120193\pi\) | |||||||
\(374\) | 23.4674 | 1.21347 | ||||||||
\(375\) | −7.89422 | − | 1.93568i | −0.407656 | − | 0.0999582i | ||||
\(376\) | −13.6204 | − | 3.10877i | −0.702419 | − | 0.160322i | ||||
\(377\) | 29.1977 | − | 14.0609i | 1.50376 | − | 0.724172i | ||||
\(378\) | −8.29070 | + | 32.4157i | −0.426428 | + | 1.66728i | ||||
\(379\) | −25.6515 | − | 12.3531i | −1.31763 | − | 0.634538i | −0.362850 | − | 0.931848i | \(-0.618196\pi\) |
−0.954781 | + | 0.297310i | \(0.903911\pi\) | |||||||
\(380\) | 39.7560 | + | 31.7043i | 2.03944 | + | 1.62640i | ||||
\(381\) | 0.164021 | − | 10.2130i | 0.00840303 | − | 0.523226i | ||||
\(382\) | 9.64949 | − | 42.2772i | 0.493711 | − | 2.16309i | ||||
\(383\) | 0.778433 | − | 10.3875i | 0.0397761 | − | 0.530775i | −0.941353 | − | 0.337422i | \(-0.890445\pi\) |
0.981129 | − | 0.193352i | \(-0.0619360\pi\) | |||||||
\(384\) | −21.3001 | − | 27.6076i | −1.08697 | − | 1.40884i | ||||
\(385\) | 8.84997 | − | 19.4704i | 0.451036 | − | 0.992306i | ||||
\(386\) | −15.9535 | − | 3.64128i | −0.812012 | − | 0.185336i | ||||
\(387\) | −10.1821 | + | 6.47312i | −0.517586 | + | 0.329047i | ||||
\(388\) | 2.83220 | + | 18.7904i | 0.143783 | + | 0.953940i | ||||
\(389\) | −5.21912 | − | 5.62487i | −0.264620 | − | 0.285192i | 0.586739 | − | 0.809776i | \(-0.300411\pi\) |
−0.851359 | + | 0.524584i | \(0.824221\pi\) | |||||||
\(390\) | 1.33275 | − | 82.9854i | 0.0674863 | − | 4.20213i | ||||
\(391\) | 3.65344 | − | 2.10931i | 0.184762 | − | 0.106673i | ||||
\(392\) | −32.2376 | − | 5.86750i | −1.62825 | − | 0.296354i | ||||
\(393\) | 33.5690 | + | 3.05845i | 1.69333 | + | 0.154278i | ||||
\(394\) | −18.1757 | − | 8.75296i | −0.915679 | − | 0.440968i | ||||
\(395\) | 21.8088 | + | 6.72714i | 1.09732 | + | 0.338479i | ||||
\(396\) | −24.8545 | + | 13.3044i | −1.24899 | + | 0.668573i | ||||
\(397\) | −13.9909 | − | 15.0786i | −0.702184 | − | 0.756775i | 0.276752 | − | 0.960941i | \(-0.410742\pi\) |
−0.978936 | + | 0.204167i | \(0.934552\pi\) | |||||||
\(398\) | 14.7634 | + | 13.6985i | 0.740025 | + | 0.686643i | ||||
\(399\) | 14.6008 | + | 9.82428i | 0.730956 | + | 0.491829i | ||||
\(400\) | −16.6113 | + | 15.4130i | −0.830563 | + | 0.770649i | ||||
\(401\) | 2.70535 | + | 0.202738i | 0.135099 | + | 0.0101242i | 0.142108 | − | 0.989851i | \(-0.454612\pi\) |
−0.00700913 | + | 0.999975i | \(0.502231\pi\) | |||||||
\(402\) | −1.15827 | − | 5.47881i | −0.0577691 | − | 0.273258i | ||||
\(403\) | −1.28525 | − | 17.1505i | −0.0640229 | − | 0.854327i | ||||
\(404\) | −43.9595 | − | 6.62583i | −2.18707 | − | 0.329647i | ||||
\(405\) | 20.8942 | + | 22.0468i | 1.03824 | + | 1.09551i | ||||
\(406\) | −34.4071 | − | 9.78292i | −1.70759 | − | 0.485518i | ||||
\(407\) | 26.5886 | + | 1.99254i | 1.31795 | + | 0.0987666i | ||||
\(408\) | −31.0311 | − | 10.1203i | −1.53627 | − | 0.501030i | ||||
\(409\) | −10.2074 | − | 8.14017i | −0.504726 | − | 0.402505i | 0.337753 | − | 0.941235i | \(-0.390333\pi\) |
−0.842479 | + | 0.538729i | \(0.818905\pi\) | |||||||
\(410\) | 42.3366i | 2.09085i | ||||||||
\(411\) | 26.7385 | + | 18.8660i | 1.31891 | + | 0.930592i | ||||
\(412\) | 36.3725 | − | 14.2752i | 1.79195 | − | 0.703287i | ||||
\(413\) | −1.21842 | − | 0.553811i | −0.0599543 | − | 0.0272512i | ||||
\(414\) | −4.03643 | + | 6.49992i | −0.198380 | + | 0.319454i | ||||
\(415\) | −21.0302 | + | 53.5841i | −1.03233 | + | 2.63034i | ||||
\(416\) | 3.52776 | + | 2.40519i | 0.172963 | + | 0.117924i | ||||
\(417\) | −27.4256 | − | 4.58530i | −1.34304 | − | 0.224543i | ||||
\(418\) | 3.33651 | + | 22.1363i | 0.163194 | + | 1.08272i | ||||
\(419\) | −10.5015 | + | 26.7574i | −0.513033 | + | 1.30719i | 0.406312 | + | 0.913734i | \(0.366815\pi\) |
−0.919345 | + | 0.393452i | \(0.871281\pi\) | |||||||
\(420\) | −40.9990 | + | 44.7326i | −2.00055 | + | 2.18273i | ||||
\(421\) | 1.54996 | + | 3.94923i | 0.0755403 | + | 0.192474i | 0.963656 | − | 0.267147i | \(-0.0860808\pi\) |
−0.888116 | + | 0.459620i | \(0.847986\pi\) | |||||||
\(422\) | 20.6610 | − | 11.9287i | 1.00576 | − | 0.580678i | ||||
\(423\) | −5.80437 | + | 6.81732i | −0.282218 | + | 0.331469i | ||||
\(424\) | 12.1549 | + | 30.9702i | 0.590294 | + | 1.50404i | ||||
\(425\) | 5.72461 | − | 25.0811i | 0.277684 | − | 1.21661i | ||||
\(426\) | 33.9185 | + | 27.9518i | 1.64336 | + | 1.35427i | ||||
\(427\) | 15.1753 | − | 12.6626i | 0.734383 | − | 0.612784i | ||||
\(428\) | 67.6130 | − | 5.06689i | 3.26820 | − | 0.244917i | ||||
\(429\) | 16.7439 | − | 17.4743i | 0.808405 | − | 0.843667i | ||||
\(430\) | −32.9430 | + | 2.46873i | −1.58865 | + | 0.119053i | ||||
\(431\) | 22.5985 | − | 24.3553i | 1.08853 | − | 1.17316i | 0.104615 | − | 0.994513i | \(-0.466639\pi\) |
0.983914 | − | 0.178643i | \(-0.0571706\pi\) | |||||||
\(432\) | 18.1401 | − | 3.23022i | 0.872765 | − | 0.155414i | ||||
\(433\) | −36.5641 | + | 8.34553i | −1.75716 | + | 0.401060i | −0.975033 | − | 0.222059i | \(-0.928722\pi\) |
−0.782127 | + | 0.623119i | \(0.785865\pi\) | |||||||
\(434\) | −11.5041 | + | 15.1010i | −0.552214 | + | 0.724870i | ||||
\(435\) | −24.1563 | + | 21.7024i | −1.15821 | + | 1.04055i | ||||
\(436\) | 22.2341 | + | 6.85833i | 1.06482 | + | 0.328454i | ||||
\(437\) | 2.50910 | + | 3.14632i | 0.120027 | + | 0.150509i | ||||
\(438\) | 5.20713 | + | 38.7607i | 0.248807 | + | 1.85206i | ||||
\(439\) | 7.12425 | − | 14.7937i | 0.340022 | − | 0.706063i | −0.658912 | − | 0.752220i | \(-0.728983\pi\) |
0.998934 | + | 0.0461570i | \(0.0146974\pi\) | |||||||
\(440\) | −37.8400 | −1.80395 | ||||||||
\(441\) | −12.8913 | + | 16.5776i | −0.613870 | + | 0.789407i | ||||
\(442\) | 57.1570 | 2.71868 | ||||||||
\(443\) | 1.10341 | − | 2.29126i | 0.0524248 | − | 0.108861i | −0.873111 | − | 0.487522i | \(-0.837901\pi\) |
0.925536 | + | 0.378661i | \(0.123615\pi\) | |||||||
\(444\) | −69.9649 | − | 28.7641i | −3.32039 | − | 1.36509i | ||||
\(445\) | 10.4794 | + | 13.1408i | 0.496772 | + | 0.622933i | ||||
\(446\) | −12.6268 | − | 3.89486i | −0.597898 | − | 0.184427i | ||||
\(447\) | −2.30809 | − | 0.752750i | −0.109169 | − | 0.0356039i | ||||
\(448\) | −5.73034 | − | 22.7663i | −0.270733 | − | 1.07561i | ||||
\(449\) | −0.968849 | + | 0.221134i | −0.0457228 | + | 0.0104359i | −0.245321 | − | 0.969442i | \(-0.578893\pi\) |
0.199598 | + | 0.979878i | \(0.436036\pi\) | |||||||
\(450\) | 12.3142 | + | 45.0048i | 0.580496 | + | 2.12155i | ||||
\(451\) | −8.39690 | + | 9.04970i | −0.395394 | + | 0.426134i | ||||
\(452\) | −41.3319 | + | 3.09740i | −1.94409 | + | 0.145689i | ||||
\(453\) | 5.75587 | + | 19.7825i | 0.270434 | + | 0.929462i | ||||
\(454\) | 38.4188 | − | 2.87909i | 1.80308 | − | 0.135123i | ||||
\(455\) | 21.5549 | − | 47.4221i | 1.01051 | − | 2.22318i | ||||
\(456\) | 5.13440 | − | 30.7099i | 0.240440 | − | 1.43812i | ||||
\(457\) | 0.0584121 | − | 0.255920i | 0.00273240 | − | 0.0119714i | −0.973543 | − | 0.228502i | \(-0.926617\pi\) |
0.976276 | + | 0.216531i | \(0.0694742\pi\) | |||||||
\(458\) | −14.8100 | − | 37.7352i | −0.692025 | − | 1.76325i | ||||
\(459\) | −14.9500 | + | 14.6312i | −0.697804 | + | 0.682925i | ||||
\(460\) | −12.0167 | + | 6.93786i | −0.560283 | + | 0.323479i | ||||
\(461\) | 3.89576 | + | 9.92624i | 0.181444 | + | 0.462311i | 0.992439 | − | 0.122742i | \(-0.0391688\pi\) |
−0.810995 | + | 0.585053i | \(0.801074\pi\) | |||||||
\(462\) | −26.6261 | + | 2.15937i | −1.23876 | + | 0.100463i | ||||
\(463\) | −8.95646 | + | 22.8207i | −0.416242 | + | 1.06057i | 0.556944 | + | 0.830550i | \(0.311974\pi\) |
−0.973186 | + | 0.230018i | \(0.926122\pi\) | |||||||
\(464\) | 2.93590 | + | 19.4784i | 0.136296 | + | 0.904264i | ||||
\(465\) | 6.03779 | + | 16.1415i | 0.279996 | + | 0.748545i | ||||
\(466\) | 20.9378 | + | 14.2752i | 0.969927 | + | 0.661285i | ||||
\(467\) | 6.83896 | − | 17.4254i | 0.316469 | − | 0.806351i | −0.680798 | − | 0.732471i | \(-0.738367\pi\) |
0.997267 | − | 0.0738794i | \(-0.0235380\pi\) | |||||||
\(468\) | −60.5355 | + | 32.4042i | −2.79825 | + | 1.49788i | ||||
\(469\) | 0.705897 | − | 3.44306i | 0.0325953 | − | 0.158986i | ||||
\(470\) | −22.8203 | + | 8.95629i | −1.05262 | + | 0.413123i | ||||
\(471\) | 32.1794 | − | 14.8650i | 1.48275 | − | 0.684945i | ||||
\(472\) | 2.36794i | 0.108993i | ||||||||
\(473\) | −7.53140 | − | 6.00609i | −0.346294 | − | 0.276160i | ||||
\(474\) | −5.89618 | − | 27.8900i | −0.270820 | − | 1.28103i | ||||
\(475\) | 24.4724 | + | 1.83396i | 1.12287 | + | 0.0841477i | ||||
\(476\) | −31.2555 | − | 27.7365i | −1.43259 | − | 1.27130i | ||||
\(477\) | 21.2004 | + | 2.27537i | 0.970702 | + | 0.104182i | ||||
\(478\) | −27.7380 | − | 4.18082i | −1.26870 | − | 0.191226i | ||||
\(479\) | 2.41244 | + | 32.1918i | 0.110227 | + | 1.47088i | 0.728569 | + | 0.684973i | \(0.240186\pi\) |
−0.618341 | + | 0.785910i | \(0.712195\pi\) | |||||||
\(480\) | −4.06755 | − | 1.32657i | −0.185657 | − | 0.0605494i | ||||
\(481\) | 64.7590 | + | 4.85302i | 2.95276 | + | 0.221279i | ||||
\(482\) | 17.2974 | − | 16.0496i | 0.787873 | − | 0.731039i | ||||
\(483\) | −3.95110 | + | 2.72940i | −0.179781 | + | 0.124192i | ||||
\(484\) | 15.1368 | + | 14.0449i | 0.688037 | + | 0.638405i | ||||
\(485\) | 11.1185 | + | 11.9829i | 0.504867 | + | 0.544117i | ||||
\(486\) | 11.3817 | − | 36.1916i | 0.516286 | − | 1.64168i | ||||
\(487\) | −11.0800 | − | 3.41774i | −0.502084 | − | 0.154872i | 0.0333595 | − | 0.999443i | \(-0.489379\pi\) |
−0.535444 | + | 0.844571i | \(0.679856\pi\) | |||||||
\(488\) | −31.5054 | − | 15.1722i | −1.42618 | − | 0.686814i | ||||
\(489\) | −1.28568 | + | 1.82217i | −0.0581404 | + | 0.0824015i | ||||
\(490\) | −52.5391 | + | 23.3593i | −2.37347 | + | 1.05527i | ||||
\(491\) | −0.559753 | + | 0.323174i | −0.0252613 | + | 0.0145846i | −0.512577 | − | 0.858641i | \(-0.671309\pi\) |
0.487316 | + | 0.873226i | \(0.337976\pi\) | |||||||
\(492\) | 30.6099 | − | 17.0232i | 1.38000 | − | 0.767465i | ||||
\(493\) | −15.2110 | − | 16.3936i | −0.685071 | − | 0.738330i | ||||
\(494\) | 8.12639 | + | 53.9151i | 0.365623 | + | 2.42575i | ||||
\(495\) | −11.2183 | + | 21.5003i | −0.504226 | + | 0.966365i | ||||
\(496\) | 10.1920 | + | 2.32625i | 0.457633 | + | 0.104452i | ||||
\(497\) | 12.5172 | + | 24.5822i | 0.561475 | + | 1.10266i | ||||
\(498\) | 71.2582 | − | 9.57286i | 3.19315 | − | 0.428970i | ||||
\(499\) | −1.32456 | + | 17.6750i | −0.0592953 | + | 0.791241i | 0.885721 | + | 0.464218i | \(0.153664\pi\) |
−0.945016 | + | 0.327023i | \(0.893955\pi\) | |||||||
\(500\) | −4.09690 | + | 17.9497i | −0.183219 | + | 0.802734i | ||||
\(501\) | 21.4182 | − | 11.9114i | 0.956896 | − | 0.532162i | ||||
\(502\) | 0.675872 | + | 0.538990i | 0.0301656 | + | 0.0240563i | ||||
\(503\) | −10.0157 | − | 4.82330i | −0.446578 | − | 0.215061i | 0.197059 | − | 0.980392i | \(-0.436861\pi\) |
−0.643637 | + | 0.765331i | \(0.722575\pi\) | |||||||
\(504\) | 36.1391 | + | 8.62717i | 1.60976 | + | 0.384285i | ||||
\(505\) | −34.4551 | + | 16.5927i | −1.53323 | + | 0.738366i | ||||
\(506\) | −5.95555 | − | 1.35932i | −0.264757 | − | 0.0604290i | ||||
\(507\) | 25.2031 | − | 26.3025i | 1.11931 | − | 1.16813i | ||||
\(508\) | −23.1369 | −1.02653 | ||||||||
\(509\) | −6.27382 | + | 10.8666i | −0.278082 | + | 0.481652i | −0.970908 | − | 0.239452i | \(-0.923032\pi\) |
0.692826 | + | 0.721105i | \(0.256365\pi\) | |||||||
\(510\) | −54.9936 | + | 16.0008i | −2.43516 | + | 0.708528i | ||||
\(511\) | −6.71305 | + | 23.6102i | −0.296968 | + | 1.04445i | ||||
\(512\) | −27.9841 | + | 22.3166i | −1.23673 | + | 0.986262i | ||||
\(513\) | −15.9268 | − | 12.0218i | −0.703186 | − | 0.530775i | ||||
\(514\) | −35.3599 | − | 2.64986i | −1.55966 | − | 0.116880i | ||||
\(515\) | 18.9344 | − | 27.7716i | 0.834349 | − | 1.22376i | ||||
\(516\) | 15.0310 | + | 22.8256i | 0.661705 | + | 1.00484i | ||||
\(517\) | −6.65433 | − | 2.61163i | −0.292657 | − | 0.114859i | ||||
\(518\) | −49.9092 | − | 51.4519i | −2.19288 | − | 2.26067i | ||||
\(519\) | 1.63165 | + | 0.400084i | 0.0716214 | + | 0.0175617i | ||||
\(520\) | −92.1627 | −4.04160 | ||||||||
\(521\) | −12.4877 | + | 21.6294i | −0.547097 | + | 0.947599i | 0.451375 | + | 0.892334i | \(0.350934\pi\) |
−0.998472 | + | 0.0552650i | \(0.982400\pi\) | |||||||
\(522\) | 38.3544 | + | 13.1938i | 1.67873 | + | 0.577477i | ||||
\(523\) | 3.88554 | + | 12.5966i | 0.169903 | + | 0.550811i | 0.999977 | − | 0.00684222i | \(-0.00217796\pi\) |
−0.830074 | + | 0.557654i | \(0.811702\pi\) | |||||||
\(524\) | 5.70592 | − | 76.1402i | 0.249264 | − | 3.32620i | ||||
\(525\) | −4.18729 | + | 28.9838i | −0.182748 | + | 1.26496i | ||||
\(526\) | −4.27370 | − | 57.0286i | −0.186342 | − | 2.48657i | ||||
\(527\) | −11.0480 | + | 4.33602i | −0.481259 | + | 0.188880i | ||||
\(528\) | 7.14985 | + | 12.8563i | 0.311157 | + | 0.559501i | ||||
\(529\) | 20.9288 | − | 6.45569i | 0.909949 | − | 0.280682i | ||||
\(530\) | 48.2359 | + | 32.8867i | 2.09523 | + | 1.42851i | ||||
\(531\) | 1.34544 | + | 0.702016i | 0.0583870 | + | 0.0304649i | ||||
\(532\) | 21.7195 | − | 33.4261i | 0.941659 | − | 1.44921i | ||||
\(533\) | −20.4514 | + | 22.0414i | −0.885849 | + | 0.954719i | ||||
\(534\) | 7.98255 | − | 19.4165i | 0.345439 | − | 0.840233i | ||||
\(535\) | 45.6008 | − | 36.3654i | 1.97150 | − | 1.57222i | ||||
\(536\) | −6.06249 | + | 1.38372i | −0.261859 | + | 0.0597677i | ||||
\(537\) | 3.04198 | − | 5.07874i | 0.131271 | − | 0.219164i | ||||
\(538\) | 18.6472 | + | 10.7660i | 0.803938 | + | 0.464154i | ||||
\(539\) | −15.8636 | − | 5.42722i | −0.683292 | − | 0.233767i | ||||
\(540\) | 49.1727 | − | 48.1242i | 2.11606 | − | 2.07094i | ||||
\(541\) | 0.784599 | + | 10.4697i | 0.0337325 | + | 0.450129i | 0.988340 | + | 0.152263i | \(0.0486560\pi\) |
−0.954607 | + | 0.297867i | \(0.903725\pi\) | |||||||
\(542\) | −15.7255 | + | 14.5911i | −0.675467 | + | 0.626742i | ||||
\(543\) | 29.2419 | + | 14.6652i | 1.25489 | + | 0.629344i | ||||
\(544\) | 0.868472 | − | 2.81552i | 0.0372354 | − | 0.120714i | ||||
\(545\) | 19.1264 | − | 5.89972i | 0.819286 | − | 0.252716i | ||||
\(546\) | −64.8504 | + | 5.25934i | −2.77534 | + | 0.225079i | ||||
\(547\) | −15.2096 | − | 4.69153i | −0.650315 | − | 0.200596i | −0.0479914 | − | 0.998848i | \(-0.515282\pi\) |
−0.602323 | + | 0.798252i | \(0.705758\pi\) | |||||||
\(548\) | 41.7562 | − | 61.2451i | 1.78374 | − | 2.61626i | ||||
\(549\) | −17.9610 | + | 13.4030i | −0.766558 | + | 0.572025i | ||||
\(550\) | −30.7793 | + | 20.9850i | −1.31243 | + | 0.894803i | ||||
\(551\) | 13.3011 | − | 16.6790i | 0.566646 | − | 0.710551i | ||||
\(552\) | 7.28886 | + | 4.36576i | 0.310234 | + | 0.185819i | ||||
\(553\) | 3.59338 | − | 17.5270i | 0.152806 | − | 0.745322i | ||||
\(554\) | 11.9222 | − | 17.4867i | 0.506527 | − | 0.742939i | ||||
\(555\) | −63.6664 | + | 13.4596i | −2.70249 | + | 0.571329i | ||||
\(556\) | −9.38747 | + | 62.2818i | −0.398118 | + | 2.64134i | ||||
\(557\) | 25.1387 | + | 14.5138i | 1.06516 | + | 0.614970i | 0.926855 | − | 0.375420i | \(-0.122502\pi\) |
0.138304 | + | 0.990390i | \(0.455835\pi\) | |||||||
\(558\) | 13.9545 | − | 16.3897i | 0.590740 | − | 0.693832i | ||||
\(559\) | −18.3434 | − | 14.6284i | −0.775844 | − | 0.618715i | ||||
\(560\) | 23.6828 | + | 21.0164i | 1.00078 | + | 0.888104i | ||||
\(561\) | −14.9288 | − | 7.48697i | −0.630293 | − | 0.316100i | ||||
\(562\) | −23.0806 | + | 3.47884i | −0.973596 | + | 0.146746i | ||||
\(563\) | −11.5520 | + | 5.56317i | −0.486861 | + | 0.234460i | −0.661177 | − | 0.750230i | \(-0.729943\pi\) |
0.174316 | + | 0.984690i | \(0.444228\pi\) | |||||||
\(564\) | 15.6514 | + | 12.8981i | 0.659041 | + | 0.543108i | ||||
\(565\) | −27.8759 | + | 22.2303i | −1.17275 | + | 0.935234i | ||||
\(566\) | −29.1863 | − | 36.5984i | −1.22679 | − | 1.53835i | ||||
\(567\) | 15.6159 | − | 17.9762i | 0.655808 | − | 0.754928i | ||||
\(568\) | 30.4302 | − | 38.1583i | 1.27682 | − | 1.60109i | ||||
\(569\) | 1.33458i | 0.0559486i | 0.999609 | + | 0.0279743i | \(0.00890566\pi\) | ||||
−0.999609 | + | 0.0279743i | \(0.991094\pi\) | |||||||
\(570\) | −22.9120 | − | 49.5994i | −0.959679 | − | 2.07749i | ||||
\(571\) | −20.9491 | + | 26.2693i | −0.876691 | + | 1.09934i | 0.117645 | + | 0.993056i | \(0.462466\pi\) |
−0.994336 | + | 0.106280i | \(0.966106\pi\) | |||||||
\(572\) | −40.1858 | − | 37.2870i | −1.68025 | − | 1.55905i | ||||
\(573\) | −19.6265 | + | 23.8160i | −0.819909 | + | 0.994929i | ||||
\(574\) | 33.0330 | − | 3.21366i | 1.37877 | − | 0.134136i | ||||
\(575\) | −2.90558 | + | 6.03350i | −0.121171 | + | 0.251614i | ||||
\(576\) | 5.08702 | + | 26.1292i | 0.211959 | + | 1.08871i | ||||
\(577\) | 14.9766 | + | 21.9666i | 0.623483 | + | 0.914482i | 0.999929 | − | 0.0119569i | \(-0.00380608\pi\) |
−0.376445 | + | 0.926439i | \(0.622854\pi\) | |||||||
\(578\) | 0.569311 | + | 1.84566i | 0.0236802 | + | 0.0767694i | ||||
\(579\) | 8.98709 | + | 7.40616i | 0.373491 | + | 0.307789i | ||||
\(580\) | 50.0315 | + | 53.9211i | 2.07744 | + | 2.23895i | ||||
\(581\) | 43.4052 | + | 12.3413i | 1.80075 | + | 0.512005i | ||||
\(582\) | 6.33068 | − | 19.4112i | 0.262415 | − | 0.804622i | ||||
\(583\) | 3.78809 | + | 16.5967i | 0.156886 | + | 0.687365i | ||||
\(584\) | 42.9433 | − | 6.47266i | 1.77701 | − | 0.267841i | ||||
\(585\) | −27.3233 | + | 52.3659i | −1.12968 | + | 2.16506i | ||||
\(586\) | 56.5366 | − | 4.23683i | 2.33550 | − | 0.175022i | ||||
\(587\) | 9.56148 | − | 16.5610i | 0.394645 | − | 0.683545i | −0.598411 | − | 0.801189i | \(-0.704201\pi\) |
0.993056 | + | 0.117645i | \(0.0375344\pi\) | |||||||
\(588\) | 38.0147 | + | 28.5939i | 1.56770 | + | 1.17919i | ||||
\(589\) | −5.66085 | − | 9.80488i | −0.233251 | − | 0.404003i | ||||
\(590\) | 2.34066 | + | 3.43311i | 0.0963633 | + | 0.141339i | ||||
\(591\) | 8.76993 | + | 11.3669i | 0.360747 | + | 0.467572i | ||||
\(592\) | −14.4214 | + | 36.7452i | −0.592717 | + | 1.51022i | ||||
\(593\) | 6.76974 | − | 6.28140i | 0.278000 | − | 0.257946i | −0.528833 | − | 0.848726i | \(-0.677370\pi\) |
0.806833 | + | 0.590780i | \(0.201180\pi\) | |||||||
\(594\) | 30.2796 | − | 0.806350i | 1.24239 | − | 0.0330849i | ||||
\(595\) | −35.6556 | − | 4.56793i | −1.46174 | − | 0.187267i | ||||
\(596\) | −1.62092 | + | 5.25488i | −0.0663953 | + | 0.215248i | ||||
\(597\) | −5.02143 | − | 13.4244i | −0.205513 | − | 0.549422i | ||||
\(598\) | −14.5053 | − | 3.31074i | −0.593166 | − | 0.135386i | ||||
\(599\) | −3.79969 | + | 7.89014i | −0.155251 | + | 0.322382i | −0.964058 | − | 0.265692i | \(-0.914400\pi\) |
0.808807 | + | 0.588075i | \(0.200114\pi\) | |||||||
\(600\) | 49.7495 | − | 14.4750i | 2.03101 | − | 0.590939i | ||||
\(601\) | −18.1034 | − | 26.5529i | −0.738455 | − | 1.08311i | −0.993236 | − | 0.116116i | \(-0.962956\pi\) |
0.254781 | − | 0.966999i | \(-0.417997\pi\) | |||||||
\(602\) | 4.42684 | + | 25.5163i | 0.180425 | + | 1.03997i | ||||
\(603\) | −1.01111 | + | 3.85487i | −0.0411757 | + | 0.156982i | ||||
\(604\) | 44.5951 | − | 13.7558i | 1.81455 | − | 0.559714i | ||||
\(605\) | 17.5645 | + | 2.64742i | 0.714098 | + | 0.107633i | ||||
\(606\) | 39.0289 | + | 27.5378i | 1.58544 | + | 1.11865i | ||||
\(607\) | −13.1392 | − | 7.58594i | −0.533305 | − | 0.307904i | 0.209056 | − | 0.977904i | \(-0.432961\pi\) |
−0.742361 | + | 0.670000i | \(0.766294\pi\) | |||||||
\(608\) | 2.77929 | + | 0.418911i | 0.112715 | + | 0.0169891i | ||||
\(609\) | 18.7669 | + | 17.2005i | 0.760474 | + | 0.697001i | ||||
\(610\) | −60.6750 | + | 9.14528i | −2.45666 | + | 0.370282i | ||||
\(611\) | −16.2072 | − | 6.36087i | −0.655675 | − | 0.257333i | ||||
\(612\) | 33.6813 | + | 33.3273i | 1.36149 | + | 1.34718i | ||||
\(613\) | −1.33515 | + | 17.8164i | −0.0539263 | + | 0.719596i | 0.903069 | + | 0.429495i | \(0.141308\pi\) |
−0.956996 | + | 0.290102i | \(0.906311\pi\) | |||||||
\(614\) | 0.925195 | + | 1.16016i | 0.0373378 | + | 0.0468201i | ||||
\(615\) | 13.5069 | − | 26.9324i | 0.544652 | − | 1.08602i | ||||
\(616\) | 2.87234 | + | 29.5246i | 0.115730 | + | 1.18958i | ||||
\(617\) | 3.62309 | − | 24.0377i | 0.145860 | − | 0.967719i | −0.789431 | − | 0.613840i | \(-0.789624\pi\) |
0.935291 | − | 0.353880i | \(-0.115138\pi\) | |||||||
\(618\) | −41.8095 | − | 3.80923i | −1.68182 | − | 0.153230i | ||||
\(619\) | −9.08053 | + | 5.24264i | −0.364977 | + | 0.210720i | −0.671262 | − | 0.741220i | \(-0.734247\pi\) |
0.306285 | + | 0.951940i | \(0.400914\pi\) | |||||||
\(620\) | 36.3386 | − | 14.2619i | 1.45939 | − | 0.572770i | ||||
\(621\) | 4.64149 | − | 2.84714i | 0.186257 | − | 0.114252i | ||||
\(622\) | −24.4474 | − | 50.7655i | −0.980250 | − | 2.03551i | ||||
\(623\) | 9.45761 | − | 9.17404i | 0.378911 | − | 0.367550i | ||||
\(624\) | 17.4141 | + | 31.3128i | 0.697123 | + | 1.25352i | ||||
\(625\) | −5.88724 | − | 15.0004i | −0.235490 | − | 0.600018i | ||||
\(626\) | 59.1725 | + | 28.4960i | 2.36501 | + | 1.13893i | ||||
\(627\) | 4.93979 | − | 15.1465i | 0.197276 | − | 0.604892i | ||||
\(628\) | −34.8376 | − | 72.3411i | −1.39017 | − | 2.88672i | ||||
\(629\) | −9.97213 | − | 43.6907i | −0.397615 | − | 1.74206i | ||||
\(630\) | 60.9234 | − | 23.2148i | 2.42725 | − | 0.924899i | ||||
\(631\) | −4.52819 | + | 19.8393i | −0.180265 | + | 0.789790i | 0.801239 | + | 0.598345i | \(0.204175\pi\) |
−0.981503 | + | 0.191446i | \(0.938682\pi\) | |||||||
\(632\) | −30.8612 | + | 7.04387i | −1.22759 | + | 0.280190i | ||||
\(633\) | −16.9492 | + | 0.996762i | −0.673669 | + | 0.0396177i | ||||
\(634\) | −3.14214 | − | 13.7666i | −0.124790 | − | 0.546743i | ||||
\(635\) | −16.4446 | + | 11.2117i | −0.652584 | + | 0.444925i | ||||
\(636\) | 4.38224 | − | 48.0987i | 0.173767 | − | 1.90724i | ||||
\(637\) | −38.6372 | − | 13.2185i | −1.53086 | − | 0.523736i | ||||
\(638\) | 32.3831i | 1.28206i | ||||||||
\(639\) | −12.6596 | − | 28.6028i | −0.500804 | − | 1.13151i | ||||
\(640\) | −20.0270 | + | 64.9259i | −0.791636 | + | 2.56642i | ||||
\(641\) | 17.8653 | + | 7.01163i | 0.705638 | + | 0.276943i | 0.690902 | − | 0.722949i | \(-0.257214\pi\) |
0.0147367 | + | 0.999891i | \(0.495309\pi\) | |||||||
\(642\) | −67.3786 | − | 27.7009i | −2.65922 | − | 1.09327i | ||||
\(643\) | 3.29582 | + | 10.6848i | 0.129974 | + | 0.421367i | 0.997045 | − | 0.0768185i | \(-0.0244762\pi\) |
−0.867071 | + | 0.498185i | \(0.834000\pi\) | |||||||
\(644\) | 6.32541 | + | 8.84940i | 0.249256 | + | 0.348715i | ||||
\(645\) | 21.7443 | + | 8.93955i | 0.856179 | + | 0.351994i | ||||
\(646\) | 33.8999 | − | 16.3253i | 1.33377 | − | 0.642311i | ||||
\(647\) | −5.40583 | − | 5.01588i | −0.212525 | − | 0.197195i | 0.566726 | − | 0.823906i | \(-0.308210\pi\) |
−0.779251 | + | 0.626712i | \(0.784400\pi\) | |||||||
\(648\) | −40.3866 | − | 11.9918i | −1.58654 | − | 0.471083i | ||||
\(649\) | −0.180583 | + | 1.19809i | −0.00708848 | + | 0.0470290i | ||||
\(650\) | −74.9659 | + | 51.1109i | −2.94040 | + | 2.00473i | ||||
\(651\) | 12.1361 | − | 5.93624i | 0.475651 | − | 0.232660i | ||||
\(652\) | 4.17372 | + | 2.84560i | 0.163456 | + | 0.111442i | ||||
\(653\) | 20.0462 | − | 21.6046i | 0.784467 | − | 0.845454i | −0.206654 | − | 0.978414i | \(-0.566258\pi\) |
0.991121 | + | 0.132960i | \(0.0424481\pi\) | |||||||
\(654\) | −18.0510 | − | 17.2966i | −0.705852 | − | 0.676349i | ||||
\(655\) | −32.8408 | − | 56.8819i | −1.28320 | − | 2.22256i | ||||
\(656\) | −9.13834 | − | 15.8281i | −0.356792 | − | 0.617982i | ||||
\(657\) | 9.05360 | − | 26.3189i | 0.353214 | − | 1.02680i | ||||
\(658\) | 8.72036 | + | 17.1256i | 0.339955 | + | 0.667626i | ||||
\(659\) | −1.47196 | − | 9.76584i | −0.0573395 | − | 0.380423i | −0.999034 | − | 0.0439527i | \(-0.986005\pi\) |
0.941694 | − | 0.336470i | \(-0.109233\pi\) | |||||||
\(660\) | 49.1030 | + | 24.6258i | 1.91133 | + | 0.958559i | ||||
\(661\) | −10.9269 | − | 22.6900i | −0.425008 | − | 0.882539i | −0.998014 | − | 0.0629876i | \(-0.979937\pi\) |
0.573006 | − | 0.819551i | \(-0.305777\pi\) | |||||||
\(662\) | −29.2421 | − | 60.7218i | −1.13653 | − | 2.36002i | ||||
\(663\) | −36.3604 | − | 18.2352i | −1.41212 | − | 0.708197i | ||||
\(664\) | −11.8994 | − | 78.9475i | −0.461787 | − | 3.06376i | ||||
\(665\) | −0.760557 | − | 34.2826i | −0.0294931 | − | 1.32942i | ||||
\(666\) | 53.3420 | + | 61.3263i | 2.06696 | + | 2.37635i | ||||
\(667\) | 2.91068 | + | 5.04144i | 0.112702 | + | 0.195205i | ||||
\(668\) | −27.7567 | − | 48.0759i | −1.07394 | − | 1.86011i | ||||
\(669\) | 6.78994 | + | 6.50614i | 0.262514 | + | 0.251542i | ||||
\(670\) | −7.42181 | + | 7.99880i | −0.286729 | + | 0.309021i | ||||
\(671\) | −14.7835 | − | 10.0792i | −0.570710 | − | 0.389104i | ||||
\(672\) | −0.726297 | + | 3.27440i | −0.0280175 | + | 0.126313i | ||||
\(673\) | 26.2441 | − | 17.8929i | 1.01163 | − | 0.689721i | 0.0603955 | − | 0.998175i | \(-0.480764\pi\) |
0.951239 | + | 0.308454i | \(0.0998114\pi\) | |||||||
\(674\) | −10.9068 | + | 72.3617i | −0.420113 | + | 2.78727i | ||||
\(675\) | 6.52456 | − | 32.5585i | 0.251130 | − | 1.25318i | ||||
\(676\) | −60.4880 | − | 56.1247i | −2.32646 | − | 2.15864i | ||||
\(677\) | −26.4904 | + | 12.7571i | −1.01811 | + | 0.490295i | −0.867045 | − | 0.498230i | \(-0.833984\pi\) |
−0.151062 | + | 0.988524i | \(0.548269\pi\) | |||||||
\(678\) | 41.1887 | + | 16.9336i | 1.58184 | + | 0.650331i | ||||
\(679\) | 8.50568 | − | 9.58482i | 0.326418 | − | 0.367831i | ||||
\(680\) | 18.7464 | + | 60.7743i | 0.718891 | + | 2.33059i | ||||
\(681\) | −25.3586 | − | 10.4255i | −0.971745 | − | 0.399506i | ||||
\(682\) | 15.9979 | + | 6.27871i | 0.612590 | + | 0.240424i | ||||
\(683\) | −4.30178 | + | 13.9460i | −0.164603 | + | 0.533631i | −0.999869 | − | 0.0162166i | \(-0.994838\pi\) |
0.835265 | + | 0.549847i | \(0.185314\pi\) | |||||||
\(684\) | −26.6483 | + | 36.5092i | −1.01892 | + | 1.39597i | ||||
\(685\) | − | 63.7646i | − | 2.43632i | ||||||
\(686\) | 22.2142 | + | 39.2204i | 0.848142 | + | 1.49744i | ||||
\(687\) | −2.61759 | + | 28.7302i | −0.0998671 | + | 1.09612i | ||||
\(688\) | 11.7833 | − | 8.03370i | 0.449233 | − | 0.306282i | ||||
\(689\) | 9.22623 | + | 40.4228i | 0.351492 | + | 1.53999i | ||||
\(690\) | 14.8831 | − | 0.875257i | 0.566589 | − | 0.0333205i | ||||
\(691\) | 37.7080 | − | 8.60660i | 1.43448 | − | 0.327411i | 0.566521 | − | 0.824047i | \(-0.308289\pi\) |
0.867958 | + | 0.496637i | \(0.165432\pi\) | |||||||
\(692\) | 0.846783 | − | 3.71000i | 0.0321899 | − | 0.141033i | ||||
\(693\) | 17.6271 | + | 7.12104i | 0.669598 | + | 0.270506i | ||||
\(694\) | −1.02285 | − | 4.48139i | −0.0388268 | − | 0.170111i | ||||
\(695\) | 23.5086 | + | 48.8160i | 0.891731 | + | 1.85170i | ||||
\(696\) | 13.9652 | − | 42.8203i | 0.529350 | − | 1.62310i | ||||
\(697\) | 18.6945 | + | 9.00281i | 0.708106 | + | 0.341006i | ||||
\(698\) | −0.175002 | − | 0.445899i | −0.00662394 | − | 0.0168775i | ||||
\(699\) | −8.76527 | − | 15.7611i | −0.331533 | − | 0.596139i | ||||
\(700\) | 65.7965 | + | 8.42935i | 2.48687 | + | 0.318600i | ||||
\(701\) | −9.90780 | − | 20.5737i | −0.374212 | − | 0.777060i | 0.625783 | − | 0.779997i | \(-0.284779\pi\) |
−0.999996 | + | 0.00293710i | \(0.999065\pi\) | |||||||
\(702\) | 73.7487 | − | 1.96394i | 2.78347 | − | 0.0741242i | ||||
\(703\) | 39.7948 | − | 15.6183i | 1.50089 | − | 0.589055i | ||||
\(704\) | −18.4056 | + | 10.6265i | −0.693689 | + | 0.400502i | ||||
\(705\) | 17.3745 | + | 1.58298i | 0.654360 | + | 0.0596183i | ||||
\(706\) | −11.9182 | + | 79.0722i | −0.448548 | + | 2.97592i | ||||
\(707\) | 15.5618 | + | 25.6241i | 0.585263 | + | 0.963692i | ||||
\(708\) | 1.54103 | − | 3.07275i | 0.0579154 | − | 0.115481i | ||||
\(709\) | 4.78149 | + | 5.99580i | 0.179573 | + | 0.225177i | 0.863469 | − | 0.504402i | \(-0.168287\pi\) |
−0.683896 | + | 0.729580i | \(0.739716\pi\) | |||||||
\(710\) | 6.40005 | − | 85.4027i | 0.240190 | − | 3.20511i | ||||
\(711\) | −5.14709 | + | 19.6233i | −0.193031 | + | 0.735930i | ||||
\(712\) | −21.7005 | − | 8.51683i | −0.813262 | − | 0.319182i | ||||
\(713\) | 3.05492 | − | 0.460455i | 0.114408 | − | 0.0172442i | ||||
\(714\) | 16.6590 | + | 41.6941i | 0.623449 | + | 1.56036i | ||||
\(715\) | −46.6309 | − | 7.02847i | −1.74389 | − | 0.262850i | ||||
\(716\) | −11.6133 | − | 6.70491i | −0.434008 | − | 0.250574i | ||||
\(717\) | 16.3116 | + | 11.5091i | 0.609169 | + | 0.429814i | ||||
\(718\) | −46.9938 | − | 7.08318i | −1.75379 | − | 0.264342i | ||||
\(719\) | 3.03747 | − | 0.936937i | 0.113279 | − | 0.0349419i | −0.237598 | − | 0.971364i | \(-0.576360\pi\) |
0.350876 | + | 0.936422i | \(0.385884\pi\) | |||||||
\(720\) | −25.5208 | − | 25.2526i | −0.951105 | − | 0.941109i | ||||
\(721\) | −23.1060 | − | 12.6655i | −0.860514 | − | 0.471686i | ||||
\(722\) | −5.82997 | − | 8.55100i | −0.216969 | − | 0.318235i | ||||
\(723\) | −16.1241 | + | 4.69143i | −0.599662 | + | 0.174476i | ||||
\(724\) | 32.1509 | − | 66.7621i | 1.19488 | − | 2.48119i | ||||
\(725\) | 34.6099 | + | 7.89949i | 1.28538 | + | 0.293380i | ||||
\(726\) | −7.77292 | − | 20.7803i | −0.288480 | − | 0.771227i | ||||
\(727\) | −7.02974 | + | 22.7899i | −0.260719 | + | 0.845229i | 0.726680 | + | 0.686976i | \(0.241062\pi\) |
−0.987399 | + | 0.158253i | \(0.949414\pi\) | |||||||
\(728\) | 6.99584 | + | 71.9098i | 0.259283 | + | 2.66516i | ||||
\(729\) | −18.7869 | + | 19.3920i | −0.695812 | + | 0.718224i | ||||
\(730\) | 55.8625 | − | 51.8328i | 2.06756 | − | 1.91842i | ||||
\(731\) | −5.91516 | + | 15.0716i | −0.218780 | + | 0.557442i | ||||
\(732\) | 31.0091 | + | 40.1916i | 1.14613 | + | 1.48552i | ||||
\(733\) | 10.3512 | + | 15.1825i | 0.382331 | + | 0.560777i | 0.968374 | − | 0.249503i | \(-0.0802673\pi\) |
−0.586043 | + | 0.810280i | \(0.699315\pi\) | |||||||
\(734\) | 10.6965 | + | 18.5270i | 0.394817 | + | 0.683842i | ||||
\(735\) | 40.8752 | + | 1.90190i | 1.50770 | + | 0.0701527i | ||||
\(736\) | −0.383485 | + | 0.664216i | −0.0141355 | + | 0.0244833i | ||||
\(737\) | −3.17291 | + | 0.237777i | −0.116876 | + | 0.00875863i | ||||
\(738\) | −37.5985 | + | 1.60577i | −1.38402 | + | 0.0591094i | ||||
\(739\) | −19.5965 | + | 2.95370i | −0.720869 | + | 0.108654i | −0.499223 | − | 0.866474i | \(-0.666381\pi\) |
−0.221646 | + | 0.975127i | \(0.571143\pi\) | |||||||
\(740\) | 32.7999 | + | 143.706i | 1.20575 | + | 5.28272i | ||||
\(741\) | 12.0313 | − | 36.8906i | 0.441981 | − | 1.35521i | ||||
\(742\) | 21.9983 | − | 40.1324i | 0.807584 | − | 1.47331i | ||||
\(743\) | −16.9810 | − | 18.3012i | −0.622973 | − | 0.671405i | 0.340180 | − | 0.940360i | \(-0.389512\pi\) |
−0.963153 | + | 0.268955i | \(0.913322\pi\) | |||||||
\(744\) | −18.4464 | − | 15.2015i | −0.676278 | − | 0.557312i | ||||
\(745\) | 1.39436 | + | 4.52039i | 0.0510853 | + | 0.165614i | ||||
\(746\) | 7.70429 | + | 11.3001i | 0.282074 | + | 0.413727i | ||||
\(747\) | −48.3849 | − | 16.6442i | −1.77031 | − | 0.608981i | ||||
\(748\) | −16.4139 | + | 34.0838i | −0.600152 | + | 1.24623i | ||||
\(749\) | −31.8355 | − | 32.8196i | −1.16324 | − | 1.19920i | ||||
\(750\) | 12.5807 | − | 15.2662i | 0.459381 | − | 0.557442i | ||||
\(751\) | −13.1409 | − | 12.1930i | −0.479520 | − | 0.444929i | 0.403003 | − | 0.915198i | \(-0.367966\pi\) |
−0.882523 | + | 0.470269i | \(0.844157\pi\) | |||||||
\(752\) | 6.59843 | − | 8.27417i | 0.240620 | − | 0.301728i | ||||
\(753\) | −0.257997 | − | 0.558506i | −0.00940195 | − | 0.0203531i | ||||
\(754\) | 78.8720i | 2.87235i | ||||||||
\(755\) | 25.0303 | − | 31.3870i | 0.910946 | − | 1.14229i | ||||
\(756\) | −41.2814 | − | 34.7140i | −1.50139 | − | 1.26253i | ||||
\(757\) | 17.7807 | + | 22.2962i | 0.646249 | + | 0.810371i | 0.991769 | − | 0.128041i | \(-0.0408688\pi\) |
−0.345520 | + | 0.938412i | \(0.612297\pi\) | |||||||
\(758\) | 54.1752 | − | 43.2033i | 1.96773 | − | 1.56921i | ||||
\(759\) | 3.35495 | + | 2.76477i | 0.121777 | + | 0.100355i | ||||
\(760\) | −54.6618 | + | 26.3237i | −1.98279 | + | 0.954862i | ||||
\(761\) | 12.0797 | − | 1.82072i | 0.437888 | − | 0.0660010i | 0.0736010 | − | 0.997288i | \(-0.476551\pi\) |
0.364287 | + | 0.931287i | \(0.381313\pi\) | |||||||
\(762\) | 22.2215 | + | 11.1444i | 0.805001 | + | 0.403719i | ||||
\(763\) | −6.05509 | − | 14.4755i | −0.219209 | − | 0.524050i | ||||
\(764\) | 54.6538 | + | 43.5849i | 1.97730 | + | 1.57685i | ||||
\(765\) | 40.0890 | + | 7.36610i | 1.44942 | + | 0.266322i | ||||
\(766\) | 21.9553 | + | 12.6759i | 0.793279 | + | 0.458000i | ||||
\(767\) | −0.439826 | + | 2.91805i | −0.0158812 | + | 0.105365i | ||||
\(768\) | 52.9566 | − | 11.1955i | 1.91091 | − | 0.403982i | ||||
\(769\) | −7.59702 | + | 11.1428i | −0.273955 | + | 0.401819i | −0.938418 | − | 0.345503i | \(-0.887708\pi\) |
0.664462 | + | 0.747322i | \(0.268661\pi\) | |||||||
\(770\) | 33.3488 | + | 39.9664i | 1.20181 | + | 1.44029i | ||||
\(771\) | 21.6488 | + | 12.9668i | 0.779662 | + | 0.466989i | ||||
\(772\) | 16.4470 | − | 20.6239i | 0.591940 | − | 0.742269i | ||||
\(773\) | −33.8616 | + | 23.0864i | −1.21792 | + | 0.830361i | −0.989687 | − | 0.143246i | \(-0.954246\pi\) |
−0.228229 | + | 0.973607i | \(0.573294\pi\) | |||||||
\(774\) | −3.44194 | − | 29.1626i | −0.123718 | − | 1.04823i | ||||
\(775\) | 10.6130 | − | 15.5664i | 0.381229 | − | 0.559160i | ||||
\(776\) | −21.6653 | − | 6.68285i | −0.777737 | − | 0.239900i | ||||
\(777\) | 15.3346 | + | 48.6539i | 0.550126 | + | 1.74545i | ||||
\(778\) | 17.8454 | − | 5.50456i | 0.639787 | − | 0.197348i | ||||
\(779\) | −5.83424 | + | 18.9142i | −0.209033 | + | 0.677670i | ||||
\(780\) | 119.595 | + | 59.9785i | 4.28219 | + | 2.14757i | ||||
\(781\) | 18.3065 | − | 16.9860i | 0.655060 | − | 0.607807i | ||||
\(782\) | 0.767274 | + | 10.2386i | 0.0274377 | + | 0.366130i | ||||
\(783\) | −20.1898 | − | 20.6297i | −0.721525 | − | 0.737246i | ||||
\(784\) | 14.6003 | − | 20.0737i | 0.521439 | − | 0.716919i | ||||
\(785\) | −59.8163 | − | 34.5349i | −2.13493 | − | 1.23261i | ||||
\(786\) | −42.1548 | + | 70.3795i | −1.50361 | + | 2.51035i | ||||
\(787\) | 1.77535 | − | 0.405211i | 0.0632843 | − | 0.0144442i | −0.190762 | − | 0.981636i | \(-0.561096\pi\) |
0.254046 | + | 0.967192i | \(0.418239\pi\) | |||||||
\(788\) | 25.4254 | − | 20.2761i | 0.905743 | − | 0.722306i | ||||
\(789\) | −15.4755 | + | 37.6421i | −0.550944 | + | 1.34010i | ||||
\(790\) | −37.7808 | + | 40.7181i | −1.34418 | + | 1.44868i | ||||
\(791\) | 19.4611 | + | 20.0627i | 0.691958 | + | 0.713346i | ||||
\(792\) | −1.43522 | − | 33.6051i | −0.0509985 | − | 1.19411i | ||||
\(793\) | −36.0066 | − | 24.5489i | −1.27863 | − | 0.871756i | ||||
\(794\) | 47.8382 | − | 14.7561i | 1.69771 | − | 0.523675i | ||||
\(795\) | −20.1932 | − | 36.3099i | −0.716177 | − | 1.28778i | ||||
\(796\) | −30.2216 | + | 11.8611i | −1.07118 | + | 0.420405i | ||||
\(797\) | 0.810894 | + | 10.8206i | 0.0287234 | + | 0.383287i | 0.992977 | + | 0.118306i | \(0.0377464\pi\) |
−0.964254 | + | 0.264980i | \(0.914635\pi\) | |||||||
\(798\) | −36.9606 | + | 21.6420i | −1.30839 | + | 0.766120i | ||||
\(799\) | −0.897871 | + | 11.9813i | −0.0317644 | + | 0.423867i | ||||
\(800\) | 1.37862 | + | 4.46937i | 0.0487415 | + | 0.158016i | ||||
\(801\) | −11.2727 | + | 9.80504i | −0.398300 | + | 0.346444i | ||||
\(802\) | −3.30136 | + | 5.71812i | −0.116575 | + | 0.201914i | ||||
\(803\) | 22.2213 | 0.784173 | ||||||||
\(804\) | 8.76749 | + | 2.14981i | 0.309206 | + | 0.0758179i | ||||
\(805\) | 8.78408 | + | 3.22455i | 0.309598 | + | 0.113650i | ||||
\(806\) | 38.9643 | + | 15.2924i | 1.37246 | + | 0.538651i | ||||
\(807\) | −8.42766 | − | 12.7979i | −0.296668 | − | 0.450508i | ||||
\(808\) | 29.8793 | − | 43.8249i | 1.05115 | − | 1.54176i | ||||
\(809\) | −43.0527 | − | 3.22635i | −1.51365 | − | 0.113433i | −0.708166 | − | 0.706046i | \(-0.750477\pi\) |
−0.805487 | + | 0.592614i | \(0.798096\pi\) | |||||||
\(810\) | −70.4074 | + | 22.5352i | −2.47387 | + | 0.791805i | ||||
\(811\) | 0.903800 | − | 0.720757i | 0.0317367 | − | 0.0253092i | −0.607493 | − | 0.794325i | \(-0.707825\pi\) |
0.639230 | + | 0.769016i | \(0.279253\pi\) | |||||||
\(812\) | 38.2741 | − | 43.1300i | 1.34316 | − | 1.51357i | ||||
\(813\) | 14.6588 | − | 4.26510i | 0.514108 | − | 0.149584i | ||||
\(814\) | −32.4463 | + | 56.1987i | −1.13724 | + | 1.96976i | ||||
\(815\) | 4.34542 | 0.152213 | ||||||||
\(816\) | 17.1063 | − | 17.8525i | 0.598840 | − | 0.624961i | ||||
\(817\) | −15.0577 | − | 3.43682i | −0.526802 | − | 0.120239i | ||||
\(818\) | 28.6284 | − | 13.7867i | 1.00097 | − | 0.482041i | ||||
\(819\) | 42.9324 | + | 17.3440i | 1.50018 | + | 0.606047i | ||||
\(820\) | −61.4892 | − | 29.6116i | −2.14730 | − | 1.03408i | ||||
\(821\) | −14.5984 | − | 11.6418i | −0.509487 | − | 0.406302i | 0.334722 | − | 0.942317i | \(-0.391358\pi\) |
−0.844209 | + | 0.536015i | \(0.819929\pi\) | |||||||
\(822\) | −69.6043 | + | 38.7093i | −2.42773 | + | 1.35014i | ||||
\(823\) | −12.4615 | + | 54.5976i | −0.434382 | + | 1.90315i | −0.00509022 | + | 0.999987i | \(0.501620\pi\) |
−0.429292 | + | 0.903166i | \(0.641237\pi\) | |||||||
\(824\) | −3.48388 | + | 46.4891i | −0.121367 | + | 1.61953i | ||||
\(825\) | 26.2752 | − | 3.52983i | 0.914786 | − | 0.122893i | ||||
\(826\) | 2.50101 | − | 2.08689i | 0.0870212 | − | 0.0726123i | ||||
\(827\) | 7.13812 | + | 1.62923i | 0.248217 | + | 0.0566539i | 0.344819 | − | 0.938669i | \(-0.387940\pi\) |
−0.0966022 | + | 0.995323i | \(0.530797\pi\) | |||||||
\(828\) | −6.61720 | − | 10.4087i | −0.229963 | − | 0.361729i | ||||
\(829\) | 0.103292 | + | 0.685295i | 0.00358747 | + | 0.0238013i | 0.990553 | − | 0.137131i | \(-0.0437881\pi\) |
−0.986965 | + | 0.160932i | \(0.948550\pi\) | |||||||
\(830\) | −95.2901 | − | 102.698i | −3.30757 | − | 3.56471i | ||||
\(831\) | −13.1632 | + | 7.32051i | −0.456627 | + | 0.253946i | ||||
\(832\) | −44.8287 | + | 25.8818i | −1.55415 | + | 0.897292i | ||||
\(833\) | −0.857592 | + | 28.1670i | −0.0297138 | + | 0.975927i | ||||
\(834\) | 39.0155 | − | 55.2961i | 1.35100 | − | 1.91475i | ||||
\(835\) | −43.0250 | − | 20.7197i | −1.48894 | − | 0.717036i | ||||
\(836\) | −34.4842 | − | 10.6370i | −1.19266 | − | 0.367888i | ||||
\(837\) | −14.1061 | + | 5.97431i | −0.487577 | + | 0.206502i | ||||
\(838\) | −47.5836 | − | 51.2829i | −1.64375 | − | 1.77154i | ||||
\(839\) | 15.4708 | + | 14.3548i | 0.534112 | + | 0.495583i | 0.900486 | − | 0.434884i | \(-0.143211\pi\) |
−0.366375 | + | 0.930467i | \(0.619401\pi\) | |||||||
\(840\) | −26.8618 | − | 67.2295i | −0.926821 | − | 2.31964i | ||||
\(841\) | 1.36331 | − | 1.26497i | 0.0470107 | − | 0.0436195i | ||||
\(842\) | −10.2965 | − | 0.771615i | −0.354840 | − | 0.0265916i | ||||
\(843\) | 15.7926 | + | 5.15051i | 0.543925 | + | 0.177393i | ||||
\(844\) | 2.87402 | + | 38.3512i | 0.0989280 | + | 1.32010i | ||||
\(845\) | −70.1891 | − | 10.5793i | −2.41458 | − | 0.363939i | ||||
\(846\) | −8.81950 | − | 19.9266i | −0.303221 | − | 0.685092i | ||||
\(847\) | 0.732370 | − | 13.9056i | 0.0251645 | − | 0.477803i | ||||
\(848\) | −25.1322 | − | 1.88340i | −0.863044 | − | 0.0646762i | ||||
\(849\) | 6.89055 | + | 32.5935i | 0.236483 | + | 1.11861i | ||||
\(850\) | 48.9521 | + | 39.0380i | 1.67904 | + | 1.33899i | ||||
\(851\) | 11.6655i | 0.399887i | ||||||||
\(852\) | −64.3208 | + | 29.7124i | −2.20359 | + | 1.01793i | ||||
\(853\) | −18.9964 | + | 7.45555i | −0.650425 | + | 0.255273i | −0.667533 | − | 0.744581i | \(-0.732650\pi\) |
0.0171073 | + | 0.999854i | \(0.494554\pi\) | |||||||
\(854\) | 11.7413 | + | 46.6474i | 0.401778 | + | 1.59624i | ||||
\(855\) | −1.24858 | + | 38.8624i | −0.0427007 | + | 1.32907i | ||||
\(856\) | −29.5549 | + | 75.3047i | −1.01017 | + | 2.57386i | ||||
\(857\) | −9.30292 | − | 6.34262i | −0.317782 | − | 0.216660i | 0.393915 | − | 0.919147i | \(-0.371120\pi\) |
−0.711696 | + | 0.702487i | \(0.752073\pi\) | |||||||
\(858\) | 20.6358 | + | 55.1682i | 0.704496 | + | 1.88341i | ||||
\(859\) | −4.98716 | − | 33.0876i | −0.170160 | − | 1.12894i | −0.896968 | − | 0.442095i | \(-0.854235\pi\) |
0.726808 | − | 0.686840i | \(-0.241003\pi\) | |||||||
\(860\) | 19.4559 | − | 49.5728i | 0.663440 | − | 1.69042i | ||||
\(861\) | −22.0392 | − | 8.49440i | −0.751094 | − | 0.289488i | ||||
\(862\) | 29.5421 | + | 75.2721i | 1.00621 | + | 2.56378i | ||||
\(863\) | −25.1188 | + | 14.5023i | −0.855054 | + | 0.493666i | −0.862353 | − | 0.506308i | \(-0.831010\pi\) |
0.00729885 | + | 0.999973i | \(0.497677\pi\) | |||||||
\(864\) | 1.02383 | − | 3.66265i | 0.0348314 | − | 0.124606i | ||||
\(865\) | −1.19595 | − | 3.04723i | −0.0406635 | − | 0.103609i | ||||
\(866\) | 20.3113 | − | 88.9896i | 0.690206 | − | 3.02399i | ||||
\(867\) | 0.226668 | − | 1.35575i | 0.00769805 | − | 0.0460436i | ||||
\(868\) | −13.8862 | − | 27.2706i | −0.471327 | − | 0.925623i | ||||
\(869\) | −16.1518 | + | 1.21041i | −0.547911 | + | 0.0410603i | ||||
\(870\) | −22.0798 | − | 75.8866i | −0.748575 | − | 2.57280i | ||||
\(871\) | −7.72792 | + | 0.579128i | −0.261851 | + | 0.0196230i | ||||
\(872\) | −18.8826 | + | 20.3506i | −0.639444 | + | 0.689157i | ||||
\(873\) | −10.2202 | + | 10.3287i | −0.345900 | + | 0.349574i | ||||
\(874\) | −9.54873 | + | 2.17944i | −0.322991 | + | 0.0737205i | ||||
\(875\) | 11.0641 | − | 5.63381i | 0.374033 | − | 0.190458i | ||||
\(876\) | −59.9377 | − | 19.5478i | −2.02511 | − | 0.660458i | ||||
\(877\) | −13.4530 | − | 4.14969i | −0.454275 | − | 0.140125i | 0.0591698 | − | 0.998248i | \(-0.481155\pi\) |
−0.513445 | + | 0.858123i | \(0.671631\pi\) | |||||||
\(878\) | 24.9160 | + | 31.2437i | 0.840875 | + | 1.05442i | ||||
\(879\) | −37.3174 | − | 15.3420i | −1.25868 | − | 0.517473i | ||||
\(880\) | 12.4371 | − | 25.8258i | 0.419253 | − | 0.870589i | ||||
\(881\) | 6.69568 | 0.225583 | 0.112792 | − | 0.993619i | \(-0.464021\pi\) | ||||
0.112792 | + | 0.993619i | \(0.464021\pi\) | |||||||
\(882\) | −22.7378 | − | 45.7732i | −0.765623 | − | 1.54126i | ||||
\(883\) | 26.6995 | 0.898510 | 0.449255 | − | 0.893403i | \(-0.351689\pi\) | ||||
0.449255 | + | 0.893403i | \(0.351689\pi\) | |||||||
\(884\) | −39.9776 | + | 83.0143i | −1.34459 | + | 2.79207i | ||||
\(885\) | −0.393715 | − | 2.93073i | −0.0132346 | − | 0.0985153i | ||||
\(886\) | 3.85903 | + | 4.83907i | 0.129647 | + | 0.162572i | ||||
\(887\) | 20.7905 | + | 6.41301i | 0.698075 | + | 0.215328i | 0.623426 | − | 0.781882i | \(-0.285740\pi\) |
0.0746490 | + | 0.997210i | \(0.476216\pi\) | |||||||
\(888\) | 67.1396 | − | 60.3194i | 2.25306 | − | 2.02419i | ||||
\(889\) | 9.99622 | + | 11.9798i | 0.335262 | + | 0.401791i | ||||
\(890\) | −39.8808 | + | 9.10254i | −1.33681 | + | 0.305118i | ||||
\(891\) | −19.5196 | − | 9.14735i | −0.653930 | − | 0.306448i | ||||
\(892\) | 14.4885 | − | 15.6149i | 0.485111 | − | 0.522825i | ||||
\(893\) | −11.4293 | + | 0.856510i | −0.382468 | + | 0.0286620i | ||||
\(894\) | 4.08792 | − | 4.26623i | 0.136720 | − | 0.142684i | ||||
\(895\) | −11.5032 | + | 0.862049i | −0.384511 | + | 0.0288151i | ||||
\(896\) | 52.1785 | + | 10.6977i | 1.74316 | + | 0.357384i | ||||
\(897\) | 8.17128 | + | 6.73386i | 0.272831 | + | 0.224837i | ||||
\(898\) | 0.538193 | − | 2.35798i | 0.0179597 | − | 0.0786868i | ||||
\(899\) | −5.98335 | − | 15.2453i | −0.199556 | − | 0.508460i | ||||
\(900\) | −73.9775 | − | 13.5929i | −2.46592 | − | 0.453097i | ||||
\(901\) | 24.7791 | − | 14.3062i | 0.825510 | − | 0.476608i | ||||
\(902\) | −10.9770 | − | 27.9688i | −0.365492 | − | 0.931260i | ||||
\(903\) | 5.32452 | − | 17.6445i | 0.177189 | − | 0.587172i | ||||
\(904\) | 18.0670 | − | 46.0339i | 0.600899 | − | 1.53106i | ||||
\(905\) | −9.50042 | − | 63.0312i | −0.315805 | − | 2.09523i | ||||
\(906\) | −49.4566 | − | 8.26867i | −1.64309 | − | 0.274708i | ||||
\(907\) | 37.1564 | + | 25.3328i | 1.23376 | + | 0.841163i | 0.991634 | − | 0.129082i | \(-0.0412032\pi\) |
0.242125 | + | 0.970245i | \(0.422156\pi\) | |||||||
\(908\) | −22.6899 | + | 57.8128i | −0.752990 | + | 1.91859i | ||||
\(909\) | −16.0426 | − | 29.9698i | −0.532099 | − | 0.994035i | ||||
\(910\) | 81.2241 | + | 97.3420i | 2.69255 | + | 3.22685i | ||||
\(911\) | −13.8943 | + | 5.45310i | −0.460338 | + | 0.180669i | −0.584166 | − | 0.811634i | \(-0.698578\pi\) |
0.123828 | + | 0.992304i | \(0.460483\pi\) | |||||||
\(912\) | 19.2720 | + | 13.5978i | 0.638159 | + | 0.450268i | ||||
\(913\) | − | 40.8519i | − | 1.35200i | ||||||
\(914\) | 0.499492 | + | 0.398332i | 0.0165217 | + | 0.0131756i | ||||
\(915\) | 41.5160 | + | 13.5398i | 1.37248 | + | 0.447612i | ||||
\(916\) | 65.1649 | + | 4.88343i | 2.15311 | + | 0.161353i | ||||
\(917\) | −41.8892 | + | 29.9417i | −1.38330 | + | 0.988763i | ||||
\(918\) | −16.2959 | − | 48.2321i | −0.537846 | − | 1.59190i | ||||
\(919\) | 52.1037 | + | 7.85336i | 1.71874 | + | 0.259059i | 0.933098 | − | 0.359622i | \(-0.117094\pi\) |
0.785643 | + | 0.618680i | \(0.212332\pi\) | |||||||
\(920\) | −1.23719 | − | 16.5091i | −0.0407889 | − | 0.544290i | ||||
\(921\) | −0.218428 | − | 1.03320i | −0.00719745 | − | 0.0340452i | ||||
\(922\) | −25.8798 | − | 1.93943i | −0.852307 | − | 0.0638716i | ||||
\(923\) | 44.5873 | − | 41.3710i | 1.46761 | − | 1.36174i | ||||
\(924\) | 15.4870 | − | 40.1818i | 0.509484 | − | 1.32189i | ||||
\(925\) | 52.1483 | + | 48.3865i | 1.71463 | + | 1.59094i | ||||
\(926\) | −40.5827 | − | 43.7377i | −1.33363 | − | 1.43731i | ||||
\(927\) | 25.3818 | + | 15.7620i | 0.833646 | + | 0.517693i | ||||
\(928\) | 3.88518 | + | 1.19842i | 0.127537 | + | 0.0393400i | ||||
\(929\) | −14.8011 | − | 7.12781i | −0.485607 | − | 0.233856i | 0.175028 | − | 0.984563i | \(-0.443998\pi\) |
−0.660635 | + | 0.750708i | \(0.729713\pi\) | |||||||
\(930\) | −41.7705 | − | 3.80568i | −1.36971 | − | 0.124793i | ||||
\(931\) | −26.6913 | + | 3.19573i | −0.874770 | + | 0.104736i | ||||
\(932\) | −35.3778 | + | 20.4254i | −1.15884 | + | 0.669055i | ||||
\(933\) | −0.643911 | + | 40.0940i | −0.0210807 | + | 1.31262i | ||||
\(934\) | 30.9881 | + | 33.3972i | 1.01396 | + | 1.09279i | ||||
\(935\) | 4.85022 | + | 32.1791i | 0.158619 | + | 1.05237i | ||||
\(936\) | −3.49562 | − | 81.8484i | −0.114258 | − | 2.67530i | ||||
\(937\) | −26.2856 | − | 5.99951i | −0.858712 | − | 0.195995i | −0.229576 | − | 0.973291i | \(-0.573734\pi\) |
−0.629136 | + | 0.777295i | \(0.716591\pi\) | |||||||
\(938\) | 6.80443 | + | 5.18368i | 0.222172 | + | 0.169253i | ||||
\(939\) | −28.5512 | − | 37.0059i | −0.931734 | − | 1.20764i | ||||
\(940\) | 2.95324 | − | 39.4082i | 0.0963240 | − | 1.28535i | ||||
\(941\) | 5.86774 | − | 25.7082i | 0.191283 | − | 0.838064i | −0.784641 | − | 0.619951i | \(-0.787153\pi\) |
0.975923 | − | 0.218114i | \(-0.0699903\pi\) | |||||||
\(942\) | −1.38533 | + | 86.2594i | −0.0451365 | + | 2.81048i | ||||
\(943\) | −4.22282 | − | 3.36759i | −0.137514 | − | 0.109664i | ||||
\(944\) | −1.61612 | − | 0.778283i | −0.0526003 | − | 0.0253310i | ||||
\(945\) | −46.1627 | − | 4.66877i | −1.50167 | − | 0.151875i | ||||
\(946\) | 21.1230 | − | 10.1723i | 0.686769 | − | 0.330730i | ||||
\(947\) | 11.4096 | + | 2.60416i | 0.370761 | + | 0.0846237i | 0.403842 | − | 0.914829i | \(-0.367675\pi\) |
−0.0330807 | + | 0.999453i | \(0.510532\pi\) | |||||||
\(948\) | 44.6311 | + | 10.9436i | 1.44955 | + | 0.355433i | ||||
\(949\) | 54.1220 | 1.75688 | ||||||||
\(950\) | −29.8639 | + | 51.7259i | −0.968914 | + | 1.67821i | ||||
\(951\) | −2.39320 | + | 9.76009i | −0.0776047 | + | 0.316493i | ||||
\(952\) | 45.9960 | − | 19.2400i | 1.49074 | − | 0.623574i | ||||
\(953\) | −1.82010 | + | 1.45148i | −0.0589590 | + | 0.0470182i | −0.652526 | − | 0.757766i | \(-0.726291\pi\) |
0.593567 | + | 0.804785i | \(0.297719\pi\) | |||||||
\(954\) | −27.3767 | + | 44.0850i | −0.886353 | + | 1.42730i | ||||
\(955\) | 59.9659 | + | 4.49382i | 1.94045 | + | 0.145417i | ||||
\(956\) | 25.4731 | − | 37.3621i | 0.823857 | − | 1.20838i | ||||
\(957\) | 10.3314 | − | 20.6005i | 0.333967 | − | 0.665918i | ||||
\(958\) | −73.1369 | − | 28.7041i | −2.36294 | − | 0.927387i | ||||
\(959\) | −49.7522 | + | 4.84021i | −1.60658 | + | 0.156298i | ||||
\(960\) | 35.8864 | − | 37.4517i | 1.15823 | − | 1.20875i | ||||
\(961\) | 22.3084 | 0.719626 | ||||||||
\(962\) | −79.0260 | + | 136.877i | −2.54790 | + | 4.41309i | ||||
\(963\) | 34.0252 | + | 39.1182i | 1.09645 | + | 1.26056i | ||||
\(964\) | 11.2119 | + | 36.3481i | 0.361111 | + | 1.17069i | ||||
\(965\) | 1.69577 | − | 22.6284i | 0.0545886 | − | 0.728434i | ||||
\(966\) | −1.81266 | − | 11.5461i | −0.0583212 | − | 0.371489i | ||||
\(967\) | 0.665113 | + | 8.87531i | 0.0213886 | + | 0.285411i | 0.997634 | + | 0.0687445i | \(0.0218993\pi\) |
−0.976246 | + | 0.216666i | \(0.930482\pi\) | |||||||
\(968\) | −22.9338 | + | 9.00085i | −0.737120 | + | 0.289298i | ||||
\(969\) | −26.7738 | − | 0.429987i | −0.860097 | − | 0.0138132i | ||||
\(970\) | −38.0168 | + | 11.7266i | −1.22065 | + | 0.376520i | ||||
\(971\) | 11.9462 | + | 8.14479i | 0.383372 | + | 0.261379i | 0.739637 | − | 0.673006i | \(-0.234997\pi\) |
−0.356264 | + | 0.934385i | \(0.615950\pi\) | |||||||
\(972\) | 44.6035 | + | 41.8443i | 1.43066 | + | 1.34216i | ||||
\(973\) | 36.3042 | − | 22.0480i | 1.16386 | − | 0.706827i | ||||
\(974\) | 19.1946 | − | 20.6869i | 0.615036 | − | 0.662851i | ||||
\(975\) | 63.9957 | − | 8.59722i | 2.04950 | − | 0.275331i | ||||
\(976\) | 20.7101 | − | 16.5158i | 0.662915 | − | 0.528657i | ||||
\(977\) | 33.8547 | − | 7.72711i | 1.08311 | − | 0.247212i | 0.356521 | − | 0.934287i | \(-0.383963\pi\) |
0.726586 | + | 0.687075i | \(0.241106\pi\) | |||||||
\(978\) | −2.63795 | − | 4.74338i | −0.0843525 | − | 0.151677i | ||||
\(979\) | −10.3301 | − | 5.96411i | −0.330153 | − | 0.190614i | ||||
\(980\) | 2.82075 | − | 92.6455i | 0.0901056 | − | 2.95945i | ||||
\(981\) | 5.96490 | + | 16.7621i | 0.190445 | + | 0.535174i | ||||
\(982\) | −0.117556 | − | 1.56868i | −0.00375136 | − | 0.0500585i | ||||
\(983\) | −20.3808 | + | 18.9106i | −0.650047 | + | 0.603156i | −0.934684 | − | 0.355480i | \(-0.884318\pi\) |
0.284637 | + | 0.958635i | \(0.408127\pi\) | |||||||
\(984\) | 2.45334 | + | 41.7171i | 0.0782095 | + | 1.32989i | ||||
\(985\) | 8.24574 | − | 26.7320i | 0.262731 | − | 0.851753i | ||||
\(986\) | 52.0100 | − | 16.0430i | 1.65634 | − | 0.510912i | ||||
\(987\) | −0.0837372 | − | 13.6766i | −0.00266538 | − | 0.435330i | ||||
\(988\) | −83.9896 | − | 25.9073i | −2.67206 | − | 0.824222i | ||||
\(989\) | 2.37415 | − | 3.48223i | 0.0754935 | − | 0.110729i | ||||
\(990\) | −35.2988 | − | 47.3031i | −1.12187 | − | 1.50339i | ||||
\(991\) | 32.0220 | − | 21.8322i | 1.01721 | − | 0.693524i | 0.0646628 | − | 0.997907i | \(-0.479403\pi\) |
0.952550 | + | 0.304384i | \(0.0984505\pi\) | |||||||
\(992\) | 1.34533 | − | 1.68700i | 0.0427144 | − | 0.0535622i | ||||
\(993\) | −0.770198 | + | 47.9574i | −0.0244415 | + | 1.52188i | ||||
\(994\) | −67.1212 | + | 1.48908i | −2.12895 | + | 0.0472306i | ||||
\(995\) | −15.7324 | + | 23.0752i | −0.498751 | + | 0.731533i | ||||
\(996\) | −35.9369 | + | 110.190i | −1.13870 | + | 3.49151i | ||||
\(997\) | 6.70757 | − | 44.5018i | 0.212431 | − | 1.40939i | −0.587466 | − | 0.809249i | \(-0.699875\pi\) |
0.799897 | − | 0.600137i | \(-0.204887\pi\) | |||||||
\(998\) | −37.3585 | − | 21.5689i | −1.18256 | − | 0.682753i | ||||
\(999\) | −14.3681 | − | 56.0307i | −0.454586 | − | 1.77273i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.bn.a.164.4 | yes | 648 | |
9.5 | odd | 6 | 441.2.bd.a.311.51 | yes | 648 | ||
49.26 | odd | 42 | 441.2.bd.a.173.51 | ✓ | 648 | ||
441.320 | even | 42 | inner | 441.2.bn.a.320.4 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.173.51 | ✓ | 648 | 49.26 | odd | 42 | ||
441.2.bd.a.311.51 | yes | 648 | 9.5 | odd | 6 | ||
441.2.bn.a.164.4 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.320.4 | yes | 648 | 441.320 | even | 42 | inner |