Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [825,2,Mod(479,825)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(825, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("825.479");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 825 = 3 \cdot 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 825.s (of order \(10\), degree \(4\), 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: | \(6.58765816676\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 479.19 | ||
Character | \(\chi\) | \(=\) | 825.479 |
Dual form | 825.2.s.a.794.98 |
$q$-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 \(\left(\mathbb{Z}/825\mathbb{Z}\right)^\times\).
\(n\) | \(376\) | \(551\) | \(727\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.11925i | − | 1.49853i | −0.662268 | − | 0.749267i | \(-0.730406\pi\) | ||
0.662268 | − | 0.749267i | \(-0.269594\pi\) | |||||||
\(3\) | 1.16832 | − | 1.27868i | 0.674532 | − | 0.738245i | ||||
\(4\) | −2.49121 | −1.24561 | ||||||||
\(5\) | 0.713406 | − | 2.11921i | 0.319045 | − | 0.947740i | ||||
\(6\) | −2.70984 | − | 2.47597i | −1.10629 | − | 1.01081i | ||||
\(7\) | −4.07113 | + | 2.95785i | −1.53874 | + | 1.11796i | −0.587622 | + | 0.809136i | \(0.699936\pi\) |
−0.951119 | + | 0.308825i | \(0.900064\pi\) | |||||||
\(8\) | 1.04100i | 0.368050i | ||||||||
\(9\) | −0.270036 | − | 2.98782i | −0.0900119 | − | 0.995941i | ||||
\(10\) | −4.49113 | − | 1.51189i | −1.42022 | − | 0.478100i | ||||
\(11\) | −3.05198 | + | 1.29825i | −0.920205 | + | 0.391436i | ||||
\(12\) | −2.91055 | + | 3.18546i | −0.840202 | + | 0.919563i | ||||
\(13\) | 1.02337 | − | 0.743519i | 0.283831 | − | 0.206215i | −0.436756 | − | 0.899580i | \(-0.643873\pi\) |
0.720587 | + | 0.693365i | \(0.243873\pi\) | |||||||
\(14\) | 6.26841 | + | 8.62773i | 1.67530 | + | 2.30586i | ||||
\(15\) | −1.87630 | − | 3.38814i | −0.484458 | − | 0.874815i | ||||
\(16\) | −2.77628 | −0.694071 | ||||||||
\(17\) | 1.21991 | − | 0.396374i | 0.295873 | − | 0.0961348i | −0.157319 | − | 0.987548i | \(-0.550285\pi\) |
0.453192 | + | 0.891413i | \(0.350285\pi\) | |||||||
\(18\) | −6.33194 | + | 0.572273i | −1.49245 | + | 0.134886i | ||||
\(19\) | − | 3.25014i | − | 0.745633i | −0.927905 | − | 0.372817i | \(-0.878392\pi\) | ||
0.927905 | − | 0.372817i | \(-0.121608\pi\) | |||||||
\(20\) | −1.77725 | + | 5.27940i | −0.397405 | + | 1.18051i | ||||
\(21\) | −0.974263 | + | 8.66138i | −0.212602 | + | 1.89007i | ||||
\(22\) | 2.75131 | + | 6.46789i | 0.586580 | + | 1.37896i | ||||
\(23\) | −0.243965 | + | 0.750847i | −0.0508702 | + | 0.156562i | −0.973264 | − | 0.229687i | \(-0.926230\pi\) |
0.922394 | + | 0.386250i | \(0.126230\pi\) | |||||||
\(24\) | 1.33111 | + | 1.21623i | 0.271711 | + | 0.248262i | ||||
\(25\) | −3.98210 | − | 3.02372i | −0.796421 | − | 0.604743i | ||||
\(26\) | −1.57570 | − | 2.16877i | −0.309021 | − | 0.425330i | ||||
\(27\) | −4.13595 | − | 3.14546i | −0.795964 | − | 0.605343i | ||||
\(28\) | 10.1420 | − | 7.36862i | 1.91667 | − | 1.39254i | ||||
\(29\) | −0.339242 | −0.0629956 | −0.0314978 | − | 0.999504i | \(-0.510028\pi\) | ||||
−0.0314978 | + | 0.999504i | \(0.510028\pi\) | |||||||
\(30\) | −7.18031 | + | 3.97634i | −1.31094 | + | 0.725977i | ||||
\(31\) | 7.05670 | + | 5.12699i | 1.26742 | + | 0.920835i | 0.999097 | − | 0.0424944i | \(-0.0135305\pi\) |
0.268323 | + | 0.963329i | \(0.413530\pi\) | |||||||
\(32\) | 7.96564i | 1.40814i | ||||||||
\(33\) | −1.90566 | + | 5.41927i | −0.331733 | + | 0.943373i | ||||
\(34\) | −0.840015 | − | 2.58530i | −0.144061 | − | 0.443375i | ||||
\(35\) | 3.36393 | + | 10.7377i | 0.568608 | + | 1.81501i | ||||
\(36\) | 0.672716 | + | 7.44330i | 0.112119 | + | 1.24055i | ||||
\(37\) | 2.14684 | − | 2.95488i | 0.352939 | − | 0.485779i | −0.595225 | − | 0.803559i | \(-0.702937\pi\) |
0.948165 | + | 0.317780i | \(0.102937\pi\) | |||||||
\(38\) | −6.88785 | −1.11736 | ||||||||
\(39\) | 0.244902 | − | 2.17723i | 0.0392157 | − | 0.348635i | ||||
\(40\) | 2.20610 | + | 0.742658i | 0.348816 | + | 0.117425i | ||||
\(41\) | 0.721915 | − | 2.22182i | 0.112744 | − | 0.346991i | −0.878726 | − | 0.477327i | \(-0.841606\pi\) |
0.991470 | + | 0.130336i | \(0.0416057\pi\) | |||||||
\(42\) | 18.3556 | + | 2.06470i | 2.83233 | + | 0.318591i | ||||
\(43\) | −7.35902 | −1.12224 | −0.561120 | − | 0.827734i | \(-0.689629\pi\) | ||||
−0.561120 | + | 0.827734i | \(0.689629\pi\) | |||||||
\(44\) | 7.60312 | − | 3.23421i | 1.14621 | − | 0.487575i | ||||
\(45\) | −6.52447 | − | 1.55927i | −0.972610 | − | 0.232442i | ||||
\(46\) | 1.59123 | + | 0.517022i | 0.234614 | + | 0.0762308i | ||||
\(47\) | −3.64021 | − | 11.2034i | −0.530979 | − | 1.63418i | −0.752181 | − | 0.658956i | \(-0.770998\pi\) |
0.221203 | − | 0.975228i | \(-0.429002\pi\) | |||||||
\(48\) | −3.24360 | + | 3.54997i | −0.468173 | + | 0.512394i | ||||
\(49\) | 5.66209 | − | 17.4261i | 0.808870 | − | 2.48945i | ||||
\(50\) | −6.40800 | + | 8.43906i | −0.906229 | + | 1.19346i | ||||
\(51\) | 0.918420 | − | 2.02297i | 0.128605 | − | 0.283272i | ||||
\(52\) | −2.54942 | + | 1.85226i | −0.353541 | + | 0.256863i | ||||
\(53\) | 3.16468 | − | 9.73989i | 0.434702 | − | 1.33788i | −0.458689 | − | 0.888597i | \(-0.651681\pi\) |
0.893391 | − | 0.449279i | \(-0.148319\pi\) | |||||||
\(54\) | −6.66600 | + | 8.76511i | −0.907128 | + | 1.19278i | ||||
\(55\) | 0.573957 | + | 7.39396i | 0.0773924 | + | 0.997001i | ||||
\(56\) | −3.07913 | − | 4.23805i | −0.411466 | − | 0.566334i | ||||
\(57\) | −4.15588 | − | 3.79722i | −0.550460 | − | 0.502954i | ||||
\(58\) | 0.718938i | 0.0944012i | ||||||||
\(59\) | −2.29302 | + | 3.15606i | −0.298525 | + | 0.410885i | −0.931760 | − | 0.363075i | \(-0.881727\pi\) |
0.633235 | + | 0.773960i | \(0.281727\pi\) | |||||||
\(60\) | 4.67426 | + | 8.44059i | 0.603444 | + | 1.08967i | ||||
\(61\) | −4.00161 | + | 5.50775i | −0.512354 | + | 0.705195i | −0.984314 | − | 0.176425i | \(-0.943547\pi\) |
0.471960 | + | 0.881620i | \(0.343547\pi\) | |||||||
\(62\) | 10.8654 | − | 14.9549i | 1.37990 | − | 1.89927i | ||||
\(63\) | 9.93687 | + | 11.3651i | 1.25193 | + | 1.43186i | ||||
\(64\) | 11.3286 | 1.41608 | ||||||||
\(65\) | −0.845597 | − | 2.69916i | −0.104883 | − | 0.334790i | ||||
\(66\) | 11.4848 | + | 4.03857i | 1.41368 | + | 0.497113i | ||||
\(67\) | −4.52611 | − | 6.22966i | −0.552953 | − | 0.761074i | 0.437457 | − | 0.899240i | \(-0.355879\pi\) |
−0.990409 | + | 0.138166i | \(0.955879\pi\) | |||||||
\(68\) | −3.03907 | + | 0.987452i | −0.368541 | + | 0.119746i | ||||
\(69\) | 0.675061 | + | 1.18919i | 0.0812678 | + | 0.143161i | ||||
\(70\) | 22.7559 | − | 7.12900i | 2.71985 | − | 0.852079i | ||||
\(71\) | 1.26036 | + | 1.73473i | 0.149577 | + | 0.205875i | 0.877230 | − | 0.480071i | \(-0.159389\pi\) |
−0.727653 | + | 0.685945i | \(0.759389\pi\) | |||||||
\(72\) | 3.11033 | − | 0.281108i | 0.366556 | − | 0.0331289i | ||||
\(73\) | 1.21526 | + | 3.74019i | 0.142236 | + | 0.437756i | 0.996645 | − | 0.0818438i | \(-0.0260809\pi\) |
−0.854409 | + | 0.519600i | \(0.826081\pi\) | |||||||
\(74\) | −6.26212 | − | 4.54970i | −0.727957 | − | 0.528891i | ||||
\(75\) | −8.51875 | + | 1.55915i | −0.983660 | + | 0.180035i | ||||
\(76\) | 8.09679i | 0.928766i | ||||||||
\(77\) | 8.58497 | − | 14.3126i | 0.978348 | − | 1.63107i | ||||
\(78\) | −4.61409 | − | 0.519009i | −0.522442 | − | 0.0587662i | ||||
\(79\) | −2.82110 | − | 0.916631i | −0.317399 | − | 0.103129i | 0.145985 | − | 0.989287i | \(-0.453365\pi\) |
−0.463384 | + | 0.886158i | \(0.653365\pi\) | |||||||
\(80\) | −1.98062 | + | 5.88353i | −0.221440 | + | 0.657798i | ||||
\(81\) | −8.85416 | + | 1.61364i | −0.983796 | + | 0.179293i | ||||
\(82\) | −4.70860 | − | 1.52992i | −0.519978 | − | 0.168951i | ||||
\(83\) | 1.45544 | − | 0.472902i | 0.159756 | − | 0.0519077i | −0.228047 | − | 0.973650i | \(-0.573234\pi\) |
0.387803 | + | 0.921742i | \(0.373234\pi\) | |||||||
\(84\) | 2.42710 | − | 21.5774i | 0.264818 | − | 2.35428i | ||||
\(85\) | 0.0302944 | − | 2.86803i | 0.00328588 | − | 0.311081i | ||||
\(86\) | 15.5956i | 1.68172i | ||||||||
\(87\) | −0.396345 | + | 0.433781i | −0.0424926 | + | 0.0465062i | ||||
\(88\) | −1.35148 | − | 3.17712i | −0.144068 | − | 0.338682i | ||||
\(89\) | 2.78752 | + | 0.905721i | 0.295477 | + | 0.0960062i | 0.453004 | − | 0.891508i | \(-0.350352\pi\) |
−0.157527 | + | 0.987515i | \(0.550352\pi\) | |||||||
\(90\) | −3.30448 | + | 13.8270i | −0.348323 | + | 1.45749i | ||||
\(91\) | −1.96704 | + | 6.05392i | −0.206202 | + | 0.634623i | ||||
\(92\) | 0.607769 | − | 1.87052i | 0.0633643 | − | 0.195015i | ||||
\(93\) | 14.8003 | − | 3.03326i | 1.53472 | − | 0.314534i | ||||
\(94\) | −23.7428 | + | 7.71450i | −2.44888 | + | 0.795690i | ||||
\(95\) | −6.88773 | − | 2.31867i | −0.706666 | − | 0.237891i | ||||
\(96\) | 10.1855 | + | 9.30645i | 1.03955 | + | 0.949836i | ||||
\(97\) | 15.6153 | + | 5.07373i | 1.58550 | + | 0.515159i | 0.963465 | − | 0.267834i | \(-0.0863078\pi\) |
0.622031 | + | 0.782993i | \(0.286308\pi\) | |||||||
\(98\) | −36.9303 | − | 11.9994i | −3.73052 | − | 1.21212i | ||||
\(99\) | 4.70307 | + | 8.76819i | 0.472676 | + | 0.881236i | ||||
\(100\) | 9.92027 | + | 7.53272i | 0.992027 | + | 0.753272i | ||||
\(101\) | 0.0462410 | + | 0.142315i | 0.00460115 | + | 0.0141609i | 0.953331 | − | 0.301928i | \(-0.0976302\pi\) |
−0.948730 | + | 0.316089i | \(0.897630\pi\) | |||||||
\(102\) | −4.28718 | − | 1.94636i | −0.424494 | − | 0.192718i | ||||
\(103\) | − | 7.69851i | − | 0.758557i | −0.925283 | − | 0.379279i | \(-0.876172\pi\) | ||
0.925283 | − | 0.379279i | \(-0.123828\pi\) | |||||||
\(104\) | 0.774006 | + | 1.06533i | 0.0758975 | + | 0.104464i | ||||
\(105\) | 17.6602 | + | 8.24375i | 1.72346 | + | 0.804508i | ||||
\(106\) | −20.6412 | − | 6.70675i | −2.00485 | − | 0.651417i | ||||
\(107\) | 9.18947 | − | 12.6482i | 0.888380 | − | 1.22275i | −0.0856491 | − | 0.996325i | \(-0.527296\pi\) |
0.974029 | − | 0.226424i | \(-0.0727036\pi\) | |||||||
\(108\) | 10.3035 | + | 7.83600i | 0.991459 | + | 0.754020i | ||||
\(109\) | 15.0703 | − | 4.89665i | 1.44348 | − | 0.469014i | 0.520498 | − | 0.853863i | \(-0.325746\pi\) |
0.922980 | + | 0.384849i | \(0.125746\pi\) | |||||||
\(110\) | 15.6696 | − | 1.21636i | 1.49404 | − | 0.115975i | ||||
\(111\) | −1.27013 | − | 6.19738i | −0.120555 | − | 0.588229i | ||||
\(112\) | 11.3026 | − | 8.21182i | 1.06799 | − | 0.775944i | ||||
\(113\) | 4.71855 | − | 14.5222i | 0.443884 | − | 1.36613i | −0.439820 | − | 0.898086i | \(-0.644958\pi\) |
0.883703 | − | 0.468047i | \(-0.155042\pi\) | |||||||
\(114\) | −8.04725 | + | 8.80735i | −0.753694 | + | 0.824884i | ||||
\(115\) | 1.41716 | + | 1.05267i | 0.132150 | + | 0.0981621i | ||||
\(116\) | 0.845124 | 0.0784678 | ||||||||
\(117\) | −2.49785 | − | 2.85686i | −0.230926 | − | 0.264117i | ||||
\(118\) | 6.68849 | + | 4.85947i | 0.615725 | + | 0.447350i | ||||
\(119\) | −3.79401 | + | 5.22200i | −0.347796 | + | 0.478700i | ||||
\(120\) | 3.52707 | − | 1.95323i | 0.321976 | − | 0.178305i | ||||
\(121\) | 7.62911 | − | 7.92443i | 0.693556 | − | 0.720403i | ||||
\(122\) | 11.6723 | + | 8.48041i | 1.05676 | + | 0.767780i | ||||
\(123\) | −1.99757 | − | 3.51891i | −0.180115 | − | 0.317289i | ||||
\(124\) | −17.5797 | − | 12.7724i | −1.57871 | − | 1.14700i | ||||
\(125\) | −9.24875 | + | 6.28177i | −0.827233 | + | 0.561859i | ||||
\(126\) | 24.0854 | − | 21.0587i | 2.14570 | − | 1.87606i | ||||
\(127\) | 7.97888 | + | 5.79700i | 0.708011 | + | 0.514400i | 0.882531 | − | 0.470253i | \(-0.155837\pi\) |
−0.174520 | + | 0.984654i | \(0.555837\pi\) | |||||||
\(128\) | − | 8.07684i | − | 0.713899i | ||||||
\(129\) | −8.59773 | + | 9.40982i | −0.756988 | + | 0.828489i | ||||
\(130\) | −5.72019 | + | 1.79203i | −0.501694 | + | 0.157171i | ||||
\(131\) | −12.6981 | + | 9.22574i | −1.10944 | + | 0.806057i | −0.982576 | − | 0.185863i | \(-0.940492\pi\) |
−0.126866 | + | 0.991920i | \(0.540492\pi\) | |||||||
\(132\) | 4.74740 | − | 13.5006i | 0.413209 | − | 1.17507i | ||||
\(133\) | 9.61341 | + | 13.2317i | 0.833588 | + | 1.14734i | ||||
\(134\) | −13.2022 | + | 9.59196i | −1.14050 | + | 0.828619i | ||||
\(135\) | −9.61650 | + | 6.52096i | −0.827656 | + | 0.561235i | ||||
\(136\) | 0.412627 | + | 1.26993i | 0.0353824 | + | 0.108896i | ||||
\(137\) | −6.22548 | −0.531879 | −0.265939 | − | 0.963990i | \(-0.585682\pi\) | ||||
−0.265939 | + | 0.963990i | \(0.585682\pi\) | |||||||
\(138\) | 2.52018 | − | 1.43062i | 0.214532 | − | 0.121783i | ||||
\(139\) | −7.55529 | + | 2.45486i | −0.640831 | + | 0.208219i | −0.611367 | − | 0.791347i | \(-0.709380\pi\) |
−0.0294642 | + | 0.999566i | \(0.509380\pi\) | |||||||
\(140\) | −8.38027 | − | 26.7499i | −0.708262 | − | 2.26078i | ||||
\(141\) | −18.5785 | − | 8.43456i | −1.56459 | − | 0.710318i | ||||
\(142\) | 3.67633 | − | 2.67101i | 0.308511 | − | 0.224146i | ||||
\(143\) | −2.15802 | + | 3.59778i | −0.180463 | + | 0.300862i | ||||
\(144\) | 0.749695 | + | 8.29504i | 0.0624746 | + | 0.691253i | ||||
\(145\) | −0.242017 | + | 0.718925i | −0.0200984 | + | 0.0597035i | ||||
\(146\) | 7.92640 | − | 2.57544i | 0.655993 | − | 0.213145i | ||||
\(147\) | −15.6672 | − | 27.5994i | −1.29221 | − | 2.27636i | ||||
\(148\) | −5.34825 | + | 7.36123i | −0.439623 | + | 0.605089i | ||||
\(149\) | 1.32304 | − | 4.07190i | 0.108388 | − | 0.333583i | −0.882123 | − | 0.471019i | \(-0.843886\pi\) |
0.990511 | + | 0.137436i | \(0.0438862\pi\) | |||||||
\(150\) | 3.30422 | + | 18.0533i | 0.269788 | + | 1.47405i | ||||
\(151\) | −2.49628 | + | 3.43584i | −0.203145 | + | 0.279604i | −0.898418 | − | 0.439140i | \(-0.855283\pi\) |
0.695274 | + | 0.718745i | \(0.255283\pi\) | |||||||
\(152\) | 3.38341 | 0.274430 | ||||||||
\(153\) | −1.51372 | − | 3.53785i | −0.122377 | − | 0.286018i | ||||
\(154\) | −30.3319 | − | 18.1937i | −2.44422 | − | 1.46609i | ||||
\(155\) | 15.8995 | − | 11.2970i | 1.27708 | − | 0.907396i | ||||
\(156\) | −0.610104 | + | 5.42394i | −0.0488474 | + | 0.434263i | ||||
\(157\) | 1.78230 | − | 2.45313i | 0.142243 | − | 0.195781i | −0.731951 | − | 0.681357i | \(-0.761390\pi\) |
0.874194 | + | 0.485576i | \(0.161390\pi\) | |||||||
\(158\) | −1.94257 | + | 5.97861i | −0.154542 | + | 0.475633i | ||||
\(159\) | −8.75681 | − | 15.4260i | −0.694460 | − | 1.22336i | ||||
\(160\) | 16.8809 | + | 5.68274i | 1.33455 | + | 0.449260i | ||||
\(161\) | −1.22768 | − | 3.77840i | −0.0967545 | − | 0.297780i | ||||
\(162\) | 3.41970 | + | 18.7642i | 0.268677 | + | 1.47425i | ||||
\(163\) | −4.16642 | − | 5.73459i | −0.326339 | − | 0.449168i | 0.614050 | − | 0.789267i | \(-0.289539\pi\) |
−0.940389 | + | 0.340099i | \(0.889539\pi\) | |||||||
\(164\) | −1.79844 | + | 5.53504i | −0.140435 | + | 0.432214i | ||||
\(165\) | 10.1251 | + | 7.90463i | 0.788235 | + | 0.615375i | ||||
\(166\) | −1.00220 | − | 3.08444i | −0.0777855 | − | 0.239399i | ||||
\(167\) | −7.71008 | + | 10.6120i | −0.596624 | + | 0.821182i | −0.995394 | − | 0.0958687i | \(-0.969437\pi\) |
0.398770 | + | 0.917051i | \(0.369437\pi\) | |||||||
\(168\) | −9.01653 | − | 1.01421i | −0.695640 | − | 0.0782480i | ||||
\(169\) | −3.52276 | + | 10.8419i | −0.270982 | + | 0.833996i | ||||
\(170\) | −6.07807 | − | 0.0642013i | −0.466166 | − | 0.00492401i | ||||
\(171\) | −9.71084 | + | 0.877654i | −0.742606 | + | 0.0671158i | ||||
\(172\) | 18.3329 | 1.39787 | ||||||||
\(173\) | −6.98951 | − | 9.62024i | −0.531403 | − | 0.731413i | 0.455940 | − | 0.890010i | \(-0.349303\pi\) |
−0.987343 | + | 0.158597i | \(0.949303\pi\) | |||||||
\(174\) | 0.919290 | + | 0.839953i | 0.0696912 | + | 0.0636766i | ||||
\(175\) | 25.1553 | + | 0.531480i | 1.90156 | + | 0.0401761i | ||||
\(176\) | 8.47315 | − | 3.60430i | 0.638688 | − | 0.271684i | ||||
\(177\) | 1.35661 | + | 6.61934i | 0.101969 | + | 0.497540i | ||||
\(178\) | 1.91945 | − | 5.90745i | 0.143869 | − | 0.442782i | ||||
\(179\) | −16.2782 | + | 5.28910i | −1.21669 | + | 0.395326i | −0.845875 | − | 0.533382i | \(-0.820921\pi\) |
−0.370813 | + | 0.928708i | \(0.620921\pi\) | |||||||
\(180\) | 16.2538 | + | 3.88447i | 1.21149 | + | 0.289531i | ||||
\(181\) | 4.61454 | + | 14.2021i | 0.342996 | + | 1.05563i | 0.962648 | + | 0.270757i | \(0.0872739\pi\) |
−0.619652 | + | 0.784877i | \(0.712726\pi\) | |||||||
\(182\) | 12.8298 | + | 4.16864i | 0.951005 | + | 0.309000i | ||||
\(183\) | 2.36745 | + | 11.5516i | 0.175007 | + | 0.853919i | ||||
\(184\) | −0.781634 | − | 0.253968i | −0.0576228 | − | 0.0187228i | ||||
\(185\) | −4.73043 | − | 6.65764i | −0.347788 | − | 0.489480i | ||||
\(186\) | −6.42822 | − | 31.3655i | −0.471340 | − | 2.29983i | ||||
\(187\) | −3.20856 | + | 2.79347i | −0.234633 | + | 0.204279i | ||||
\(188\) | 9.06853 | + | 27.9101i | 0.661391 | + | 2.03555i | ||||
\(189\) | 26.1418 | + | 0.572042i | 1.90153 | + | 0.0416099i | ||||
\(190\) | −4.91384 | + | 14.5968i | −0.356487 | + | 1.05896i | ||||
\(191\) | 2.38593 | − | 3.28396i | 0.172640 | − | 0.237619i | −0.713925 | − | 0.700222i | \(-0.753084\pi\) |
0.886566 | + | 0.462603i | \(0.153084\pi\) | |||||||
\(192\) | 13.2355 | − | 14.4856i | 0.955189 | − | 1.04541i | ||||
\(193\) | 4.71497 | − | 14.5112i | 0.339391 | − | 1.04454i | −0.625128 | − | 0.780522i | \(-0.714953\pi\) |
0.964519 | − | 0.264015i | \(-0.0850468\pi\) | |||||||
\(194\) | 10.7525 | − | 33.0928i | 0.771984 | − | 2.37592i | ||||
\(195\) | −4.43929 | − | 2.07225i | −0.317904 | − | 0.148397i | ||||
\(196\) | −14.1055 | + | 43.4122i | −1.00753 | + | 3.10087i | ||||
\(197\) | 4.22156 | − | 5.81048i | 0.300774 | − | 0.413979i | −0.631703 | − | 0.775211i | \(-0.717644\pi\) |
0.932476 | + | 0.361231i | \(0.117644\pi\) | |||||||
\(198\) | 18.5820 | − | 9.96697i | 1.32056 | − | 0.708322i | ||||
\(199\) | 13.0530 | 0.925303 | 0.462651 | − | 0.886540i | \(-0.346898\pi\) | ||||
0.462651 | + | 0.886540i | \(0.346898\pi\) | |||||||
\(200\) | 3.14770 | − | 4.14538i | 0.222576 | − | 0.293123i | ||||
\(201\) | −13.2537 | − | 1.49082i | −0.934844 | − | 0.105155i | ||||
\(202\) | 0.301601 | − | 0.0979962i | 0.0212206 | − | 0.00689499i | ||||
\(203\) | 1.38110 | − | 1.00343i | 0.0969340 | − | 0.0704266i | ||||
\(204\) | −2.28798 | + | 5.03965i | −0.160191 | + | 0.352846i | ||||
\(205\) | −4.19349 | − | 3.11495i | −0.292886 | − | 0.217558i | ||||
\(206\) | −16.3151 | −1.13672 | ||||||||
\(207\) | 2.30928 | + | 0.526168i | 0.160506 | + | 0.0365712i | ||||
\(208\) | −2.84115 | + | 2.06422i | −0.196999 | + | 0.143128i | ||||
\(209\) | 4.21948 | + | 9.91935i | 0.291868 | + | 0.686136i | ||||
\(210\) | 17.4706 | − | 37.4264i | 1.20558 | − | 2.58267i | ||||
\(211\) | 23.0370i | 1.58593i | 0.609267 | + | 0.792965i | \(0.291464\pi\) | ||||
−0.609267 | + | 0.792965i | \(0.708536\pi\) | |||||||
\(212\) | −7.88390 | + | 24.2641i | −0.541468 | + | 1.66647i | ||||
\(213\) | 3.69067 | + | 0.415139i | 0.252880 | + | 0.0284449i | ||||
\(214\) | −26.8047 | − | 19.4748i | −1.83233 | − | 1.33127i | ||||
\(215\) | −5.24997 | + | 15.5953i | −0.358045 | + | 1.06359i | ||||
\(216\) | 3.27443 | − | 4.30554i | 0.222797 | − | 0.292955i | ||||
\(217\) | −43.8935 | −2.97969 | ||||||||
\(218\) | −10.3772 | − | 31.9378i | −0.702834 | − | 2.16310i | ||||
\(219\) | 6.20232 | + | 2.81583i | 0.419114 | + | 0.190276i | ||||
\(220\) | −1.42985 | − | 18.4199i | −0.0964004 | − | 1.24187i | ||||
\(221\) | 0.953707 | − | 1.31266i | 0.0641533 | − | 0.0882994i | ||||
\(222\) | −13.1338 | + | 2.69171i | −0.881482 | + | 0.180656i | ||||
\(223\) | −15.8111 | − | 21.7621i | −1.05879 | − | 1.45730i | −0.880934 | − | 0.473240i | \(-0.843084\pi\) |
−0.177854 | − | 0.984057i | \(-0.556916\pi\) | |||||||
\(224\) | −23.5611 | − | 32.4291i | −1.57424 | − | 2.16676i | ||||
\(225\) | −7.95901 | + | 12.7143i | −0.530601 | + | 0.847622i | ||||
\(226\) | −30.7761 | − | 9.99977i | −2.04720 | − | 0.665175i | ||||
\(227\) | 23.5648 | − | 7.65668i | 1.56405 | − | 0.508192i | 0.606166 | − | 0.795338i | \(-0.292707\pi\) |
0.957887 | + | 0.287146i | \(0.0927066\pi\) | |||||||
\(228\) | 10.3532 | + | 9.45968i | 0.685657 | + | 0.626483i | ||||
\(229\) | 7.91387 | − | 24.3564i | 0.522963 | − | 1.60952i | −0.245345 | − | 0.969436i | \(-0.578901\pi\) |
0.768308 | − | 0.640080i | \(-0.221099\pi\) | |||||||
\(230\) | 2.23087 | − | 3.00331i | 0.147099 | − | 0.198032i | ||||
\(231\) | −8.27118 | − | 27.6992i | −0.544204 | − | 1.82247i | ||||
\(232\) | − | 0.353152i | − | 0.0231856i | ||||||
\(233\) | −7.82006 | + | 10.7634i | −0.512309 | + | 0.705133i | −0.984307 | − | 0.176467i | \(-0.943533\pi\) |
0.471998 | + | 0.881600i | \(0.343533\pi\) | |||||||
\(234\) | −6.05440 | + | 5.29356i | −0.395788 | + | 0.346051i | ||||
\(235\) | −26.3393 | − | 0.278216i | −1.71819 | − | 0.0181488i | ||||
\(236\) | 5.71239 | − | 7.86243i | 0.371845 | − | 0.511801i | ||||
\(237\) | −4.46804 | + | 2.53636i | −0.290230 | + | 0.164754i | ||||
\(238\) | 11.0667 | + | 8.04045i | 0.717349 | + | 0.521185i | ||||
\(239\) | 19.6089 | − | 14.2467i | 1.26840 | − | 0.921543i | 0.269258 | − | 0.963068i | \(-0.413221\pi\) |
0.999137 | + | 0.0415245i | \(0.0132215\pi\) | |||||||
\(240\) | 5.20913 | + | 9.40644i | 0.336248 | + | 0.607183i | ||||
\(241\) | −15.8560 | + | 5.15193i | −1.02138 | + | 0.331865i | −0.771375 | − | 0.636381i | \(-0.780431\pi\) |
−0.250000 | + | 0.968246i | \(0.580431\pi\) | |||||||
\(242\) | −16.7938 | − | 16.1680i | −1.07955 | − | 1.03932i | ||||
\(243\) | −8.28121 | + | 13.2069i | −0.531240 | + | 0.847221i | ||||
\(244\) | 9.96887 | − | 13.7210i | 0.638191 | − | 0.878395i | ||||
\(245\) | −32.8902 | − | 24.4311i | −2.10128 | − | 1.56084i | ||||
\(246\) | −7.45744 | + | 4.23334i | −0.475469 | + | 0.269908i | ||||
\(247\) | −2.41654 | − | 3.32608i | −0.153761 | − | 0.211634i | ||||
\(248\) | −5.33721 | + | 7.34604i | −0.338913 | + | 0.466474i | ||||
\(249\) | 1.09574 | − | 2.41355i | 0.0694397 | − | 0.152952i | ||||
\(250\) | 13.3126 | + | 19.6004i | 0.841965 | + | 1.23964i | ||||
\(251\) | 10.8130 | − | 3.51335i | 0.682510 | − | 0.221761i | 0.0528160 | − | 0.998604i | \(-0.483180\pi\) |
0.629694 | + | 0.776843i | \(0.283180\pi\) | |||||||
\(252\) | −24.7549 | − | 28.3128i | −1.55941 | − | 1.78354i | ||||
\(253\) | −0.230209 | − | 2.60829i | −0.0144731 | − | 0.163982i | ||||
\(254\) | 12.2853 | − | 16.9092i | 0.770847 | − | 1.06098i | ||||
\(255\) | −3.63189 | − | 3.38953i | −0.227438 | − | 0.212260i | ||||
\(256\) | 5.54037 | 0.346273 | ||||||||
\(257\) | −21.6018 | + | 15.6947i | −1.34749 | + | 0.979006i | −0.348353 | + | 0.937363i | \(0.613259\pi\) |
−0.999133 | + | 0.0416423i | \(0.986741\pi\) | |||||||
\(258\) | 19.9417 | + | 18.2207i | 1.24152 | + | 1.13437i | ||||
\(259\) | 18.3797i | 1.14206i | ||||||||
\(260\) | 2.10656 | + | 6.72418i | 0.130644 | + | 0.417016i | ||||
\(261\) | 0.0916074 | + | 1.01359i | 0.00567036 | + | 0.0627399i | ||||
\(262\) | 19.5516 | + | 26.9105i | 1.20790 | + | 1.66254i | ||||
\(263\) | −22.3677 | + | 7.26771i | −1.37925 | + | 0.448146i | −0.902423 | − | 0.430851i | \(-0.858214\pi\) |
−0.476828 | + | 0.878997i | \(0.658214\pi\) | |||||||
\(264\) | −5.64147 | − | 1.98380i | −0.347209 | − | 0.122094i | ||||
\(265\) | −18.3832 | − | 13.6551i | −1.12927 | − | 0.838827i | ||||
\(266\) | 28.0413 | − | 20.3732i | 1.71932 | − | 1.24916i | ||||
\(267\) | 4.41486 | − | 2.50617i | 0.270185 | − | 0.153375i | ||||
\(268\) | 11.2755 | + | 15.5194i | 0.688761 | + | 0.947999i | ||||
\(269\) | −2.68761 | + | 0.873258i | −0.163867 | + | 0.0532435i | −0.389801 | − | 0.920899i | \(-0.627456\pi\) |
0.225935 | + | 0.974142i | \(0.427456\pi\) | |||||||
\(270\) | 13.8195 | + | 20.3797i | 0.841030 | + | 1.24027i | ||||
\(271\) | − | 25.1337i | − | 1.52676i | −0.645948 | − | 0.763382i | \(-0.723538\pi\) | ||
0.645948 | − | 0.763382i | \(-0.276462\pi\) | |||||||
\(272\) | −3.38683 | + | 1.10045i | −0.205356 | + | 0.0667243i | ||||
\(273\) | 5.44288 | + | 9.58815i | 0.329418 | + | 0.580301i | ||||
\(274\) | 13.1933i | 0.797039i | ||||||||
\(275\) | 16.0788 | + | 4.05856i | 0.969589 | + | 0.244740i | ||||
\(276\) | −1.68172 | − | 2.96251i | −0.101228 | − | 0.178322i | ||||
\(277\) | 9.55216 | 0.573934 | 0.286967 | − | 0.957941i | \(-0.407353\pi\) | ||||
0.286967 | + | 0.957941i | \(0.407353\pi\) | |||||||
\(278\) | 5.20246 | + | 16.0115i | 0.312023 | + | 0.960308i | ||||
\(279\) | 13.4130 | − | 22.4686i | 0.803014 | − | 1.34516i | ||||
\(280\) | −11.1780 | + | 3.50186i | −0.668013 | + | 0.209276i | ||||
\(281\) | 4.53614 | + | 13.9608i | 0.270604 | + | 0.832832i | 0.990349 | + | 0.138594i | \(0.0442584\pi\) |
−0.719746 | + | 0.694238i | \(0.755742\pi\) | |||||||
\(282\) | −17.8749 | + | 39.3724i | −1.06444 | + | 2.34459i | ||||
\(283\) | 6.95639 | 0.413515 | 0.206757 | − | 0.978392i | \(-0.433709\pi\) | ||||
0.206757 | + | 0.978392i | \(0.433709\pi\) | |||||||
\(284\) | −3.13982 | − | 4.32159i | −0.186314 | − | 0.256439i | ||||
\(285\) | −11.0119 | + | 6.09823i | −0.652291 | + | 0.361228i | ||||
\(286\) | 7.62460 | + | 4.57338i | 0.450852 | + | 0.270429i | ||||
\(287\) | 3.63281 | + | 11.1806i | 0.214438 | + | 0.659972i | ||||
\(288\) | 23.7999 | − | 2.15101i | 1.40242 | − | 0.126749i | ||||
\(289\) | −12.4222 | + | 9.02527i | −0.730718 | + | 0.530898i | ||||
\(290\) | 1.52358 | + | 0.512895i | 0.0894677 | + | 0.0301182i | ||||
\(291\) | 24.7314 | − | 14.0392i | 1.44978 | − | 0.822993i | ||||
\(292\) | −3.02748 | − | 9.31762i | −0.177170 | − | 0.545272i | ||||
\(293\) | 7.81485 | + | 10.7562i | 0.456549 | + | 0.628385i | 0.973789 | − | 0.227455i | \(-0.0730405\pi\) |
−0.517240 | + | 0.855840i | \(0.673041\pi\) | |||||||
\(294\) | −58.4899 | + | 33.2028i | −3.41120 | + | 1.93643i | ||||
\(295\) | 5.05251 | + | 7.11094i | 0.294169 | + | 0.414015i | ||||
\(296\) | 3.07604 | + | 2.23487i | 0.178791 | + | 0.129899i | ||||
\(297\) | 16.7064 | + | 4.23038i | 0.969404 | + | 0.245471i | ||||
\(298\) | −8.62938 | − | 2.80385i | −0.499886 | − | 0.162423i | ||||
\(299\) | 0.308603 | + | 0.949784i | 0.0178470 | + | 0.0549274i | ||||
\(300\) | 21.2220 | − | 3.88417i | 1.22525 | − | 0.224253i | ||||
\(301\) | 29.9595 | − | 21.7669i | 1.72684 | − | 1.25462i | ||||
\(302\) | 7.28139 | + | 5.29024i | 0.418997 | + | 0.304419i | ||||
\(303\) | 0.236000 | + | 0.107143i | 0.0135578 | + | 0.00615521i | ||||
\(304\) | 9.02331i | 0.517522i | ||||||||
\(305\) | 8.81730 | + | 12.4095i | 0.504877 | + | 0.710567i | ||||
\(306\) | −7.49758 | + | 3.20794i | −0.428608 | + | 0.183386i | ||||
\(307\) | 32.5707 | 1.85891 | 0.929454 | − | 0.368937i | \(-0.120278\pi\) | ||||
0.929454 | + | 0.368937i | \(0.120278\pi\) | |||||||
\(308\) | −21.3870 | + | 35.6557i | −1.21864 | + | 2.03167i | ||||
\(309\) | −9.84392 | − | 8.99436i | −0.560001 | − | 0.511671i | ||||
\(310\) | −23.9411 | − | 33.6949i | −1.35977 | − | 1.91374i | ||||
\(311\) | 10.0235 | + | 13.7962i | 0.568382 | + | 0.782310i | 0.992362 | − | 0.123361i | \(-0.0393674\pi\) |
−0.423980 | + | 0.905671i | \(0.639367\pi\) | |||||||
\(312\) | 2.26650 | + | 0.254944i | 0.128315 | + | 0.0144334i | ||||
\(313\) | − | 0.905791i | − | 0.0511983i | −0.999672 | − | 0.0255992i | \(-0.991851\pi\) | ||
0.999672 | − | 0.0255992i | \(-0.00814936\pi\) | |||||||
\(314\) | −5.19878 | − | 3.77714i | −0.293384 | − | 0.213156i | ||||
\(315\) | 31.1740 | − | 12.9504i | 1.75646 | − | 0.729672i | ||||
\(316\) | 7.02796 | + | 2.28352i | 0.395354 | + | 0.128458i | ||||
\(317\) | −8.84756 | − | 6.42813i | −0.496928 | − | 0.361039i | 0.310914 | − | 0.950438i | \(-0.399365\pi\) |
−0.807842 | + | 0.589398i | \(0.799365\pi\) | |||||||
\(318\) | −32.6914 | + | 18.5578i | −1.83324 | + | 1.04067i | ||||
\(319\) | 1.03536 | − | 0.440419i | 0.0579689 | − | 0.0246588i | ||||
\(320\) | 8.08190 | − | 24.0077i | 0.451792 | − | 1.34207i | ||||
\(321\) | −5.43672 | − | 26.5276i | −0.303448 | − | 1.48063i | ||||
\(322\) | −8.00737 | + | 2.60175i | −0.446233 | + | 0.144990i | ||||
\(323\) | −1.28827 | − | 3.96489i | −0.0716813 | − | 0.220612i | ||||
\(324\) | 22.0576 | − | 4.01991i | 1.22542 | − | 0.223329i | ||||
\(325\) | −6.32334 | − | 0.133599i | −0.350756 | − | 0.00741074i | ||||
\(326\) | −12.1530 | + | 8.82968i | −0.673093 | + | 0.489031i | ||||
\(327\) | 11.3458 | − | 24.9910i | 0.627425 | − | 1.38201i | ||||
\(328\) | 2.31293 | + | 0.751515i | 0.127710 | + | 0.0414955i | ||||
\(329\) | 47.9577 | + | 34.8433i | 2.64399 | + | 1.92097i | ||||
\(330\) | 16.7519 | − | 21.4575i | 0.922161 | − | 1.18120i | ||||
\(331\) | 21.5459 | − | 15.6540i | 1.18427 | − | 0.860421i | 0.191621 | − | 0.981469i | \(-0.438625\pi\) |
0.992647 | + | 0.121048i | \(0.0386255\pi\) | |||||||
\(332\) | −3.62582 | + | 1.17810i | −0.198993 | + | 0.0646566i | ||||
\(333\) | −9.40837 | − | 5.61647i | −0.515576 | − | 0.307780i | ||||
\(334\) | 22.4895 | + | 16.3396i | 1.23057 | + | 0.894062i | ||||
\(335\) | −16.4309 | + | 5.14750i | −0.897717 | + | 0.281238i | ||||
\(336\) | 2.70483 | − | 24.0464i | 0.147561 | − | 1.31184i | ||||
\(337\) | 6.83356 | + | 4.96487i | 0.372248 | + | 0.270454i | 0.758142 | − | 0.652089i | \(-0.226107\pi\) |
−0.385895 | + | 0.922543i | \(0.626107\pi\) | |||||||
\(338\) | 22.9768 | + | 7.46561i | 1.24977 | + | 0.406076i | ||||
\(339\) | −13.0564 | − | 23.0001i | −0.709127 | − | 1.24920i | ||||
\(340\) | −0.0754697 | + | 7.14487i | −0.00409292 | + | 0.387485i | ||||
\(341\) | −28.1930 | − | 6.48612i | −1.52673 | − | 0.351243i | ||||
\(342\) | 1.85997 | + | 20.5797i | 0.100575 | + | 1.11282i | ||||
\(343\) | 17.6075 | + | 54.1903i | 0.950715 | + | 2.92600i | ||||
\(344\) | − | 7.66077i | − | 0.413041i | ||||||
\(345\) | 3.00173 | − | 0.582224i | 0.161608 | − | 0.0313459i | ||||
\(346\) | −20.3877 | + | 14.8125i | −1.09605 | + | 0.796326i | ||||
\(347\) | 5.58715 | + | 7.69006i | 0.299934 | + | 0.412824i | 0.932209 | − | 0.361920i | \(-0.117879\pi\) |
−0.632275 | + | 0.774744i | \(0.717879\pi\) | |||||||
\(348\) | 0.987379 | − | 1.08064i | 0.0529291 | − | 0.0579285i | ||||
\(349\) | 1.86993 | − | 2.57374i | 0.100095 | − | 0.137769i | −0.756031 | − | 0.654535i | \(-0.772864\pi\) |
0.856127 | + | 0.516766i | \(0.172864\pi\) | |||||||
\(350\) | 1.12634 | − | 53.3104i | 0.0602053 | − | 2.84956i | ||||
\(351\) | −6.57130 | − | 0.143795i | −0.350750 | − | 0.00767522i | ||||
\(352\) | −10.3414 | − | 24.3109i | −0.551196 | − | 1.29578i | ||||
\(353\) | −0.0352068 | − | 0.0255793i | −0.00187387 | − | 0.00136145i | 0.586848 | − | 0.809697i | \(-0.300369\pi\) |
−0.588722 | + | 0.808336i | \(0.700369\pi\) | |||||||
\(354\) | 14.0280 | − | 2.87498i | 0.745581 | − | 0.152804i | ||||
\(355\) | 4.57541 | − | 1.43339i | 0.242837 | − | 0.0760765i | ||||
\(356\) | −6.94431 | − | 2.25634i | −0.368048 | − | 0.119586i | ||||
\(357\) | 2.24463 | + | 10.9523i | 0.118798 | + | 0.579658i | ||||
\(358\) | 11.2089 | + | 34.4975i | 0.592409 | + | 1.82325i | ||||
\(359\) | 13.2361 | + | 9.61660i | 0.698576 | + | 0.507545i | 0.879468 | − | 0.475958i | \(-0.157899\pi\) |
−0.180892 | + | 0.983503i | \(0.557899\pi\) | |||||||
\(360\) | 1.62320 | − | 6.79199i | 0.0855503 | − | 0.357969i | ||||
\(361\) | 8.43659 | 0.444031 | ||||||||
\(362\) | 30.0978 | − | 9.77936i | 1.58190 | − | 0.513992i | ||||
\(363\) | −1.21952 | − | 19.0135i | −0.0640079 | − | 0.997949i | ||||
\(364\) | 4.90031 | − | 15.0816i | 0.256846 | − | 0.790491i | ||||
\(365\) | 8.79323 | + | 0.0928810i | 0.460259 | + | 0.00486161i | ||||
\(366\) | 24.4807 | − | 5.01722i | 1.27963 | − | 0.262254i | ||||
\(367\) | 9.28098 | + | 3.01557i | 0.484463 | + | 0.157412i | 0.541057 | − | 0.840986i | \(-0.318024\pi\) |
−0.0565942 | + | 0.998397i | \(0.518024\pi\) | |||||||
\(368\) | 0.677316 | − | 2.08456i | 0.0353075 | − | 0.108665i | ||||
\(369\) | −6.83336 | − | 1.55698i | −0.355730 | − | 0.0810532i | ||||
\(370\) | −14.1092 | + | 10.0250i | −0.733502 | + | 0.521173i | ||||
\(371\) | 15.9253 | + | 49.0129i | 0.826799 | + | 2.54463i | ||||
\(372\) | −36.8707 | + | 7.55649i | −1.91165 | + | 0.391786i | ||||
\(373\) | 4.88230 | − | 15.0262i | 0.252796 | − | 0.778026i | −0.741460 | − | 0.670997i | \(-0.765866\pi\) |
0.994256 | − | 0.107029i | \(-0.0341337\pi\) | |||||||
\(374\) | 5.92006 | + | 6.79973i | 0.306119 | + | 0.351606i | ||||
\(375\) | −2.77317 | + | 19.1653i | −0.143206 | + | 0.989693i | ||||
\(376\) | 11.6628 | − | 3.78947i | 0.601462 | − | 0.195427i | ||||
\(377\) | −0.347169 | + | 0.252233i | −0.0178801 | + | 0.0129907i | ||||
\(378\) | 1.21230 | − | 55.4009i | 0.0623539 | − | 2.84951i | ||||
\(379\) | −4.64733 | + | 3.37648i | −0.238717 | + | 0.173438i | −0.700712 | − | 0.713445i | \(-0.747134\pi\) |
0.461994 | + | 0.886883i | \(0.347134\pi\) | |||||||
\(380\) | 17.1588 | + | 5.77630i | 0.880228 | + | 0.296318i | ||||
\(381\) | 16.7344 | − | 3.42965i | 0.857330 | − | 0.175706i | ||||
\(382\) | −6.95952 | − | 5.05639i | −0.356080 | − | 0.258707i | ||||
\(383\) | 15.9965 | + | 11.6221i | 0.817383 | + | 0.593863i | 0.915962 | − | 0.401266i | \(-0.131430\pi\) |
−0.0985789 | + | 0.995129i | \(0.531430\pi\) | |||||||
\(384\) | −10.3277 | − | 9.43637i | −0.527032 | − | 0.481548i | ||||
\(385\) | −24.2068 | − | 28.4040i | −1.23369 | − | 1.44760i | ||||
\(386\) | −30.7528 | − | 9.99218i | −1.56528 | − | 0.508589i | ||||
\(387\) | 1.98720 | + | 21.9875i | 0.101015 | + | 1.11768i | ||||
\(388\) | −38.9011 | − | 12.6397i | −1.97490 | − | 0.641685i | ||||
\(389\) | 27.4920 | − | 8.93268i | 1.39390 | − | 0.452905i | 0.486685 | − | 0.873577i | \(-0.338206\pi\) |
0.907213 | + | 0.420672i | \(0.138206\pi\) | |||||||
\(390\) | −4.39161 | + | 9.40795i | −0.222378 | + | 0.476390i | ||||
\(391\) | 1.01267i | 0.0512129i | ||||||||
\(392\) | 18.1406 | + | 5.89425i | 0.916241 | + | 0.297705i | ||||
\(393\) | −3.03880 | + | 27.0155i | −0.153287 | + | 1.36275i | ||||
\(394\) | −12.3138 | − | 8.94653i | −0.620363 | − | 0.450720i | ||||
\(395\) | −3.95512 | + | 5.32457i | −0.199004 | + | 0.267908i | ||||
\(396\) | −11.7164 | − | 21.8434i | −0.588769 | − | 1.09767i | ||||
\(397\) | −15.2683 | + | 21.0150i | −0.766292 | + | 1.05471i | 0.230372 | + | 0.973103i | \(0.426006\pi\) |
−0.996664 | + | 0.0816082i | \(0.973994\pi\) | |||||||
\(398\) | − | 27.6625i | − | 1.38660i | ||||||
\(399\) | 28.1507 | + | 3.16649i | 1.40930 | + | 0.158523i | ||||
\(400\) | 11.0554 | + | 8.39469i | 0.552772 | + | 0.419734i | ||||
\(401\) | −33.1794 | − | 10.7807i | −1.65690 | − | 0.538360i | −0.676683 | − | 0.736275i | \(-0.736583\pi\) |
−0.980219 | + | 0.197915i | \(0.936583\pi\) | |||||||
\(402\) | −3.15942 | + | 28.0879i | −0.157578 | + | 1.40090i | ||||
\(403\) | 11.0336 | 0.549623 | ||||||||
\(404\) | −0.115196 | − | 0.354538i | −0.00573123 | − | 0.0176389i | ||||
\(405\) | −2.89698 | + | 19.9150i | −0.143952 | + | 0.989585i | ||||
\(406\) | −2.12651 | − | 2.92689i | −0.105537 | − | 0.145259i | ||||
\(407\) | −2.71596 | + | 11.8053i | −0.134625 | + | 0.585169i | ||||
\(408\) | 2.10592 | + | 0.956078i | 0.104258 | + | 0.0473329i | ||||
\(409\) | 0.171494 | + | 0.236041i | 0.00847984 | + | 0.0116715i | 0.813236 | − | 0.581934i | \(-0.197704\pi\) |
−0.804756 | + | 0.593606i | \(0.797704\pi\) | |||||||
\(410\) | −6.60136 | + | 8.88706i | −0.326018 | + | 0.438900i | ||||
\(411\) | −7.27338 | + | 7.96039i | −0.358770 | + | 0.392657i | ||||
\(412\) | 19.1786i | 0.944864i | ||||||||
\(413\) | − | 19.6311i | − | 0.965984i | ||||||
\(414\) | 1.11508 | − | 4.89393i | 0.0548033 | − | 0.240523i | ||||
\(415\) | 0.0361433 | − | 3.42176i | 0.00177420 | − | 0.167968i | ||||
\(416\) | 5.92260 | + | 8.15177i | 0.290380 | + | 0.399673i | ||||
\(417\) | −5.68805 | + | 12.5289i | −0.278545 | + | 0.613541i | ||||
\(418\) | 21.0216 | − | 8.94213i | 1.02820 | − | 0.437374i | ||||
\(419\) | 21.0112 | + | 28.9194i | 1.02646 | + | 1.41280i | 0.907572 | + | 0.419897i | \(0.137934\pi\) |
0.118891 | + | 0.992907i | \(0.462066\pi\) | |||||||
\(420\) | −43.9954 | − | 20.5369i | −2.14676 | − | 1.00210i | ||||
\(421\) | 4.20310 | + | 12.9358i | 0.204847 | + | 0.630453i | 0.999720 | + | 0.0236773i | \(0.00753743\pi\) |
−0.794873 | + | 0.606776i | \(0.792463\pi\) | |||||||
\(422\) | 48.8211 | 2.37657 | ||||||||
\(423\) | −32.4908 | + | 13.9016i | −1.57976 | + | 0.675919i | ||||
\(424\) | 10.1393 | + | 3.29444i | 0.492406 | + | 0.159992i | ||||
\(425\) | −6.05634 | − | 2.11027i | −0.293776 | − | 0.102363i | ||||
\(426\) | 0.879783 | − | 7.82144i | 0.0426256 | − | 0.378950i | ||||
\(427\) | − | 34.2589i | − | 1.65790i | ||||||
\(428\) | −22.8929 | + | 31.5094i | −1.10657 | + | 1.52307i | ||||
\(429\) | 2.07914 | + | 6.96279i | 0.100382 | + | 0.336167i | ||||
\(430\) | 33.0503 | + | 11.1260i | 1.59383 | + | 0.536543i | ||||
\(431\) | −7.07319 | − | 5.13897i | −0.340703 | − | 0.247536i | 0.404255 | − | 0.914646i | \(-0.367531\pi\) |
−0.744959 | + | 0.667111i | \(0.767531\pi\) | |||||||
\(432\) | 11.4826 | + | 8.73268i | 0.552456 | + | 0.420151i | ||||
\(433\) | −11.3903 | − | 3.70094i | −0.547384 | − | 0.177856i | 0.0222529 | − | 0.999752i | \(-0.492916\pi\) |
−0.569637 | + | 0.821897i | \(0.692916\pi\) | |||||||
\(434\) | 93.0213i | 4.46517i | ||||||||
\(435\) | 0.636519 | + | 1.14940i | 0.0305187 | + | 0.0551095i | ||||
\(436\) | −37.5434 | + | 12.1986i | −1.79801 | + | 0.584207i | ||||
\(437\) | 2.44036 | + | 0.792920i | 0.116738 | + | 0.0379305i | ||||
\(438\) | 5.96744 | − | 13.1443i | 0.285135 | − | 0.628057i | ||||
\(439\) | −15.1361 | − | 4.91802i | −0.722407 | − | 0.234724i | −0.0753404 | − | 0.997158i | \(-0.524004\pi\) |
−0.647066 | + | 0.762434i | \(0.724004\pi\) | |||||||
\(440\) | −7.69713 | + | 0.597491i | −0.366946 | + | 0.0284843i | ||||
\(441\) | −53.5951 | − | 12.2116i | −2.55215 | − | 0.581507i | ||||
\(442\) | −2.78186 | − | 2.02114i | −0.132320 | − | 0.0961359i | ||||
\(443\) | 29.6541 | + | 21.5450i | 1.40891 | + | 1.02363i | 0.993480 | + | 0.114006i | \(0.0363682\pi\) |
0.415428 | + | 0.909626i | \(0.363632\pi\) | |||||||
\(444\) | 3.16416 | + | 15.4390i | 0.150164 | + | 0.732702i | ||||
\(445\) | 3.90805 | − | 5.26120i | 0.185259 | − | 0.249405i | ||||
\(446\) | −46.1192 | + | 33.5076i | −2.18381 | + | 1.58663i | ||||
\(447\) | −3.66091 | − | 6.44905i | −0.173155 | − | 0.305030i | ||||
\(448\) | −46.1202 | + | 33.5083i | −2.17897 | + | 1.58312i | ||||
\(449\) | −1.09839 | + | 0.356888i | −0.0518362 | + | 0.0168426i | −0.334820 | − | 0.942282i | \(-0.608676\pi\) |
0.282984 | + | 0.959125i | \(0.408676\pi\) | |||||||
\(450\) | 26.9448 | + | 16.8671i | 1.27019 | + | 0.795124i | ||||
\(451\) | 0.681209 | + | 7.71818i | 0.0320769 | + | 0.363435i | ||||
\(452\) | −11.7549 | + | 36.1779i | −0.552904 | + | 1.70166i | ||||
\(453\) | 1.47686 | + | 7.20611i | 0.0693891 | + | 0.338573i | ||||
\(454\) | −16.2264 | − | 49.9397i | −0.761543 | − | 2.34379i | ||||
\(455\) | 11.4262 | + | 8.48747i | 0.535670 | + | 0.397899i | ||||
\(456\) | 3.95292 | − | 4.32629i | 0.185112 | − | 0.202597i | ||||
\(457\) | 11.0596 | − | 34.0380i | 0.517347 | − | 1.59223i | −0.261624 | − | 0.965170i | \(-0.584258\pi\) |
0.778971 | − | 0.627060i | \(-0.215742\pi\) | |||||||
\(458\) | −51.6172 | − | 16.7715i | −2.41192 | − | 0.783679i | ||||
\(459\) | −6.29228 | − | 2.19780i | −0.293699 | − | 0.102585i | ||||
\(460\) | −3.53044 | − | 2.62243i | −0.164608 | − | 0.122271i | ||||
\(461\) | 0.349247 | − | 1.07487i | 0.0162660 | − | 0.0500617i | −0.942594 | − | 0.333941i | \(-0.891621\pi\) |
0.958860 | + | 0.283879i | \(0.0916214\pi\) | |||||||
\(462\) | −58.7014 | + | 17.5287i | −2.73104 | + | 0.815508i | ||||
\(463\) | 25.1012 | − | 8.15588i | 1.16655 | − | 0.379036i | 0.339198 | − | 0.940715i | \(-0.389844\pi\) |
0.827355 | + | 0.561679i | \(0.189844\pi\) | |||||||
\(464\) | 0.941831 | 0.0437234 | ||||||||
\(465\) | 4.13051 | − | 33.5288i | 0.191548 | − | 1.55486i | ||||
\(466\) | 22.8103 | + | 16.5726i | 1.05667 | + | 0.767713i | ||||
\(467\) | −0.0210667 | − | 0.0648368i | −0.000974853 | − | 0.00300029i | 0.950568 | − | 0.310517i | \(-0.100502\pi\) |
−0.951543 | + | 0.307516i | \(0.900502\pi\) | |||||||
\(468\) | 6.22267 | + | 7.11705i | 0.287643 | + | 0.328986i | ||||
\(469\) | 36.8527 | + | 11.9742i | 1.70170 | + | 0.552916i | ||||
\(470\) | −0.589610 | + | 55.8195i | −0.0271967 | + | 2.57476i | ||||
\(471\) | −1.05445 | − | 5.14504i | −0.0485866 | − | 0.237071i | ||||
\(472\) | −3.28547 | − | 2.38704i | −0.151226 | − | 0.109872i | ||||
\(473\) | 22.4596 | − | 9.55382i | 1.03269 | − | 0.439285i | ||||
\(474\) | 5.37517 | + | 9.46888i | 0.246890 | + | 0.434920i | ||||
\(475\) | −9.82750 | + | 12.9424i | −0.450917 | + | 0.593838i | ||||
\(476\) | 9.45168 | − | 13.0091i | 0.433217 | − | 0.596272i | ||||
\(477\) | −29.9556 | − | 6.82539i | −1.37157 | − | 0.312513i | ||||
\(478\) | −30.1923 | − | 41.5562i | −1.38097 | − | 1.90074i | ||||
\(479\) | 15.1456 | − | 11.0039i | 0.692020 | − | 0.502782i | −0.185304 | − | 0.982681i | \(-0.559327\pi\) |
0.877323 | + | 0.479900i | \(0.159327\pi\) | |||||||
\(480\) | 26.9887 | − | 14.9459i | 1.23186 | − | 0.682184i | ||||
\(481\) | − | 4.62014i | − | 0.210660i | ||||||
\(482\) | 10.9182 | + | 33.6028i | 0.497311 | + | 1.53057i | ||||
\(483\) | −6.26569 | − | 2.84460i | −0.285099 | − | 0.129434i | ||||
\(484\) | −19.0058 | + | 19.7414i | −0.863898 | + | 0.897339i | ||||
\(485\) | 21.8924 | − | 29.4725i | 0.994081 | − | 1.33828i | ||||
\(486\) | 27.9886 | + | 17.5499i | 1.26959 | + | 0.796082i | ||||
\(487\) | −7.87384 | − | 2.55837i | −0.356798 | − | 0.115931i | 0.125133 | − | 0.992140i | \(-0.460064\pi\) |
−0.481931 | + | 0.876209i | \(0.660064\pi\) | |||||||
\(488\) | −5.73358 | − | 4.16569i | −0.259547 | − | 0.188572i | ||||
\(489\) | −12.2004 | − | 1.37235i | −0.551722 | − | 0.0620597i | ||||
\(490\) | −51.7755 | + | 69.7026i | −2.33898 | + | 3.14884i | ||||
\(491\) | −5.38185 | − | 3.91014i | −0.242879 | − | 0.176462i | 0.459686 | − | 0.888082i | \(-0.347962\pi\) |
−0.702565 | + | 0.711619i | \(0.747962\pi\) | |||||||
\(492\) | 4.97637 | + | 8.76635i | 0.224352 | + | 0.395218i | ||||
\(493\) | −0.413846 | + | 0.134467i | −0.0186387 | + | 0.00605607i | ||||
\(494\) | −7.04880 | + | 5.12125i | −0.317140 | + | 0.230416i | ||||
\(495\) | 21.9368 | − | 3.71151i | 0.985987 | − | 0.166820i | ||||
\(496\) | −19.5914 | − | 14.2340i | −0.879679 | − | 0.639124i | ||||
\(497\) | −10.2621 | − | 3.33437i | −0.460320 | − | 0.149567i | ||||
\(498\) | −5.11490 | − | 2.32214i | −0.229204 | − | 0.104058i | ||||
\(499\) | −12.8170 | + | 9.31210i | −0.573768 | + | 0.416867i | −0.836472 | − | 0.548010i | \(-0.815386\pi\) |
0.262704 | + | 0.964876i | \(0.415386\pi\) | |||||||
\(500\) | 23.0406 | − | 15.6492i | 1.03041 | − | 0.699855i | ||||
\(501\) | 4.56148 | + | 22.2570i | 0.203792 | + | 0.994369i | ||||
\(502\) | −7.44567 | − | 22.9154i | −0.332316 | − | 1.02276i | ||||
\(503\) | −13.1023 | + | 4.25719i | −0.584202 | + | 0.189819i | −0.586182 | − | 0.810179i | \(-0.699370\pi\) |
0.00198025 | + | 0.999998i | \(0.499370\pi\) | |||||||
\(504\) | −11.8311 | + | 10.3443i | −0.526998 | + | 0.460772i | ||||
\(505\) | 0.334585 | + | 0.00353414i | 0.0148888 | + | 0.000157267i | ||||
\(506\) | −5.52762 | + | 0.487870i | −0.245733 | + | 0.0216884i | ||||
\(507\) | 9.74763 | + | 17.1714i | 0.432908 | + | 0.762608i | ||||
\(508\) | −19.8771 | − | 14.4416i | −0.881903 | − | 0.640740i | ||||
\(509\) | 14.9002 | + | 4.84138i | 0.660441 | + | 0.214590i | 0.620012 | − | 0.784592i | \(-0.287128\pi\) |
0.0404288 | + | 0.999182i | \(0.487128\pi\) | |||||||
\(510\) | −7.18325 | + | 7.69688i | −0.318079 | + | 0.340824i | ||||
\(511\) | −16.0104 | − | 11.6322i | −0.708258 | − | 0.514580i | ||||
\(512\) | − | 27.8951i | − | 1.23280i | ||||||
\(513\) | −10.2232 | + | 13.4424i | −0.451364 | + | 0.593497i | ||||
\(514\) | 33.2609 | + | 45.7797i | 1.46707 | + | 2.01925i | ||||
\(515\) | −16.3148 | − | 5.49217i | −0.718914 | − | 0.242014i | ||||
\(516\) | 21.4188 | − | 23.4419i | 0.942909 | − | 1.03197i | ||||
\(517\) | 25.6546 | + | 29.4666i | 1.12829 | + | 1.29594i | ||||
\(518\) | 38.9512 | 1.71142 | ||||||||
\(519\) | −20.4672 | − | 2.30222i | −0.898411 | − | 0.101056i | ||||
\(520\) | 2.80983 | − | 0.880269i | 0.123219 | − | 0.0386024i | ||||
\(521\) | 36.7712i | 1.61098i | 0.592612 | + | 0.805488i | \(0.298097\pi\) | ||||
−0.592612 | + | 0.805488i | \(0.701903\pi\) | |||||||
\(522\) | 2.14806 | − | 0.194139i | 0.0940180 | − | 0.00849723i | ||||
\(523\) | 1.31491 | + | 0.955335i | 0.0574968 | + | 0.0417739i | 0.616162 | − | 0.787619i | \(-0.288686\pi\) |
−0.558666 | + | 0.829393i | \(0.688686\pi\) | |||||||
\(524\) | 31.6338 | − | 22.9833i | 1.38193 | − | 1.00403i | ||||
\(525\) | 30.0692 | − | 31.5446i | 1.31233 | − | 1.37672i | ||||
\(526\) | 15.4021 | + | 47.4027i | 0.671562 | + | 2.06686i | ||||
\(527\) | 10.6408 | + | 3.45739i | 0.463519 | + | 0.150606i | ||||
\(528\) | 5.29065 | − | 15.0454i | 0.230246 | − | 0.654768i | ||||
\(529\) | 18.1031 | + | 13.1527i | 0.787093 | + | 0.571857i | ||||
\(530\) | −28.9386 | + | 38.9585i | −1.25701 | + | 1.69225i | ||||
\(531\) | 10.0490 | + | 5.99887i | 0.436088 | + | 0.260329i | ||||
\(532\) | −23.9491 | − | 32.9631i | −1.03832 | − | 1.42913i | ||||
\(533\) | −0.913186 | − | 2.81050i | −0.0395545 | − | 0.121736i | ||||
\(534\) | −5.31119 | − | 9.35617i | −0.229838 | − | 0.404881i | ||||
\(535\) | −20.2484 | − | 28.4977i | −0.875415 | − | 1.23206i | ||||
\(536\) | 6.48509 | − | 4.71170i | 0.280113 | − | 0.203514i | ||||
\(537\) | −12.2551 | + | 26.9939i | −0.528848 | + | 1.16487i | ||||
\(538\) | 1.85065 | + | 5.69572i | 0.0797872 | + | 0.245560i | ||||
\(539\) | 5.34283 | + | 60.5349i | 0.230132 | + | 2.60742i | ||||
\(540\) | 23.9568 | − | 16.2451i | 1.03093 | − | 0.699078i | ||||
\(541\) | −5.63811 | − | 7.76019i | −0.242401 | − | 0.333636i | 0.670431 | − | 0.741972i | \(-0.266109\pi\) |
−0.912832 | + | 0.408336i | \(0.866109\pi\) | |||||||
\(542\) | −53.2646 | −2.28791 | ||||||||
\(543\) | 23.5512 | + | 10.6921i | 1.01068 | + | 0.458844i | ||||
\(544\) | 3.15737 | + | 9.71739i | 0.135371 | + | 0.416630i | ||||
\(545\) | 0.374245 | − | 35.4305i | 0.0160309 | − | 1.51768i | ||||
\(546\) | 20.3197 | − | 11.5348i | 0.869602 | − | 0.493644i | ||||
\(547\) | −4.56583 | − | 14.0522i | −0.195221 | − | 0.600828i | −0.999974 | − | 0.00721810i | \(-0.997702\pi\) |
0.804753 | − | 0.593610i | \(-0.202298\pi\) | |||||||
\(548\) | 15.5090 | 0.662512 | ||||||||
\(549\) | 17.5367 | + | 10.4688i | 0.748450 | + | 0.446798i | ||||
\(550\) | 8.60109 | − | 34.0750i | 0.366752 | − | 1.45296i | ||||
\(551\) | 1.10258i | 0.0469716i | ||||||||
\(552\) | −1.23795 | + | 0.702741i | −0.0526905 | + | 0.0299106i | ||||
\(553\) | 14.1963 | − | 4.61266i | 0.603688 | − | 0.196150i | ||||
\(554\) | − | 20.2434i | − | 0.860059i | ||||||
\(555\) | −14.0397 | − | 1.72958i | −0.595951 | − | 0.0734167i | ||||
\(556\) | 18.8218 | − | 6.11559i | 0.798224 | − | 0.259359i | ||||
\(557\) | −22.0234 | − | 30.3126i | −0.933161 | − | 1.28439i | −0.958614 | − | 0.284710i | \(-0.908103\pi\) |
0.0254530 | − | 0.999676i | \(-0.491897\pi\) | |||||||
\(558\) | −47.6166 | − | 28.4254i | −2.01577 | − | 1.20334i | ||||
\(559\) | −7.53098 | + | 5.47157i | −0.318526 | + | 0.231423i | ||||
\(560\) | −9.33922 | − | 29.8109i | −0.394654 | − | 1.25974i | ||||
\(561\) | −0.176684 | + | 7.36639i | −0.00745958 | + | 0.311009i | ||||
\(562\) | 29.5864 | − | 9.61321i | 1.24803 | − | 0.405509i | ||||
\(563\) | 2.21411 | + | 3.04747i | 0.0933138 | + | 0.128435i | 0.853121 | − | 0.521713i | \(-0.174707\pi\) |
−0.759807 | + | 0.650148i | \(0.774707\pi\) | |||||||
\(564\) | 46.2830 | + | 21.0123i | 1.94887 | + | 0.884777i | ||||
\(565\) | −27.4093 | − | 20.3598i | −1.15312 | − | 0.856544i | ||||
\(566\) | − | 14.7423i | − | 0.619666i | ||||||
\(567\) | 31.2735 | − | 32.7586i | 1.31336 | − | 1.37573i | ||||
\(568\) | −1.80586 | + | 1.31203i | −0.0757722 | + | 0.0550518i | ||||
\(569\) | −38.0237 | −1.59404 | −0.797019 | − | 0.603954i | \(-0.793591\pi\) | ||||
−0.797019 | + | 0.603954i | \(0.793591\pi\) | |||||||
\(570\) | 12.9237 | + | 23.3370i | 0.541313 | + | 0.977480i | ||||
\(571\) | 1.70531 | − | 2.34715i | 0.0713649 | − | 0.0982253i | −0.771842 | − | 0.635814i | \(-0.780665\pi\) |
0.843207 | + | 0.537589i | \(0.180665\pi\) | |||||||
\(572\) | 5.37609 | − | 8.96285i | 0.224785 | − | 0.374755i | ||||
\(573\) | −1.41158 | − | 6.88757i | −0.0589695 | − | 0.287732i | ||||
\(574\) | 23.6945 | − | 7.69883i | 0.988991 | − | 0.321343i | ||||
\(575\) | 3.24184 | − | 2.25227i | 0.135194 | − | 0.0939261i | ||||
\(576\) | −3.05913 | − | 33.8478i | −0.127464 | − | 1.41033i | ||||
\(577\) | 0.119441 | − | 0.164397i | 0.00497241 | − | 0.00684393i | −0.806524 | − | 0.591202i | \(-0.798654\pi\) |
0.811496 | + | 0.584358i | \(0.198654\pi\) | |||||||
\(578\) | 19.1268 | + | 26.3258i | 0.795569 | + | 1.09501i | ||||
\(579\) | −13.0465 | − | 22.9827i | −0.542195 | − | 0.955128i | ||||
\(580\) | 0.602917 | − | 1.79100i | 0.0250348 | − | 0.0743670i | ||||
\(581\) | −4.52652 | + | 6.23022i | −0.187792 | + | 0.258473i | ||||
\(582\) | −29.7526 | − | 52.4120i | −1.23328 | − | 2.17255i | ||||
\(583\) | 2.98624 | + | 33.8344i | 0.123677 | + | 1.40128i | ||||
\(584\) | −3.89355 | + | 1.26509i | −0.161116 | + | 0.0523499i | ||||
\(585\) | −7.83627 | + | 3.25536i | −0.323990 | + | 0.134593i | ||||
\(586\) | 22.7951 | − | 16.5616i | 0.941657 | − | 0.684154i | ||||
\(587\) | −12.1636 | − | 8.83736i | −0.502045 | − | 0.364757i | 0.307753 | − | 0.951466i | \(-0.400423\pi\) |
−0.809797 | + | 0.586710i | \(0.800423\pi\) | |||||||
\(588\) | 39.0305 | + | 68.7559i | 1.60959 | + | 2.83545i | ||||
\(589\) | 16.6634 | − | 22.9352i | 0.686605 | − | 0.945030i | ||||
\(590\) | 15.0698 | − | 10.7075i | 0.620416 | − | 0.440822i | ||||
\(591\) | −2.49758 | − | 12.1865i | −0.102737 | − | 0.501287i | ||||
\(592\) | −5.96025 | + | 8.20358i | −0.244965 | + | 0.337165i | ||||
\(593\) | − | 6.97966i | − | 0.286620i | −0.989678 | − | 0.143310i | \(-0.954225\pi\) | ||
0.989678 | − | 0.143310i | \(-0.0457746\pi\) | |||||||
\(594\) | 8.96522 | − | 35.4050i | 0.367847 | − | 1.45269i | ||||
\(595\) | 8.35985 | + | 11.7657i | 0.342721 | + | 0.482347i | ||||
\(596\) | −3.29598 | + | 10.1440i | −0.135009 | + | 0.415514i | ||||
\(597\) | 15.2501 | − | 16.6906i | 0.624147 | − | 0.683100i | ||||
\(598\) | 2.01283 | − | 0.654007i | 0.0823107 | − | 0.0267444i | ||||
\(599\) | −11.2452 | − | 3.65377i | −0.459465 | − | 0.149289i | 0.0701338 | − | 0.997538i | \(-0.477657\pi\) |
−0.529598 | + | 0.848249i | \(0.677657\pi\) | |||||||
\(600\) | −1.62308 | − | 8.86804i | −0.0662618 | − | 0.362036i | ||||
\(601\) | 20.0070 | + | 27.5372i | 0.816101 | + | 1.12327i | 0.990353 | + | 0.138566i | \(0.0442492\pi\) |
−0.174252 | + | 0.984701i | \(0.555751\pi\) | |||||||
\(602\) | −46.1294 | − | 63.4916i | −1.88009 | − | 2.58773i | ||||
\(603\) | −17.3909 | + | 15.2054i | −0.708212 | + | 0.619214i | ||||
\(604\) | 6.21877 | − | 8.55940i | 0.253038 | − | 0.348277i | ||||
\(605\) | −11.3509 | − | 21.8210i | −0.461479 | − | 0.887151i | ||||
\(606\) | 0.227063 | − | 0.500142i | 0.00922379 | − | 0.0203169i | ||||
\(607\) | −5.33284 | − | 16.4128i | −0.216453 | − | 0.666175i | −0.999047 | − | 0.0436423i | \(-0.986104\pi\) |
0.782594 | − | 0.622533i | \(-0.213896\pi\) | |||||||
\(608\) | 25.8894 | 1.04996 | ||||||||
\(609\) | 0.330511 | − | 2.93830i | 0.0133930 | − | 0.119066i | ||||
\(610\) | 26.2988 | − | 18.6860i | 1.06481 | − | 0.756576i | ||||
\(611\) | −12.0552 | − | 8.75862i | −0.487702 | − | 0.354336i | ||||
\(612\) | 3.77099 | + | 8.81354i | 0.152433 | + | 0.356266i | ||||
\(613\) | −10.6407 | + | 32.7488i | −0.429774 | + | 1.32271i | 0.468573 | + | 0.883425i | \(0.344768\pi\) |
−0.898348 | + | 0.439285i | \(0.855232\pi\) | |||||||
\(614\) | − | 69.0254i | − | 2.78564i | ||||||
\(615\) | −8.88238 | + | 1.72285i | −0.358172 | + | 0.0694722i | ||||
\(616\) | 14.8995 | + | 8.93698i | 0.600316 | + | 0.360081i | ||||
\(617\) | −4.85188 | + | 3.52510i | −0.195329 | + | 0.141915i | −0.681151 | − | 0.732143i | \(-0.738520\pi\) |
0.485822 | + | 0.874058i | \(0.338520\pi\) | |||||||
\(618\) | −19.0613 | + | 20.8617i | −0.766757 | + | 0.839181i | ||||
\(619\) | 13.0102 | 0.522924 | 0.261462 | − | 0.965214i | \(-0.415795\pi\) | ||||
0.261462 | + | 0.965214i | \(0.415795\pi\) | |||||||
\(620\) | −39.6089 | + | 28.1432i | −1.59073 | + | 1.13026i | ||||
\(621\) | 3.37078 | − | 2.33809i | 0.135265 | − | 0.0938241i | ||||
\(622\) | 29.2376 | − | 21.2423i | 1.17232 | − | 0.851740i | ||||
\(623\) | −14.0273 | + | 4.55776i | −0.561993 | + | 0.182603i | ||||
\(624\) | −0.679918 | + | 6.04460i | −0.0272185 | + | 0.241978i | ||||
\(625\) | 6.71429 | + | 24.0815i | 0.268571 | + | 0.963260i | ||||
\(626\) | −1.91960 | −0.0767225 | ||||||||
\(627\) | 17.6134 | + | 6.19366i | 0.703410 | + | 0.247351i | ||||
\(628\) | −4.44009 | + | 6.11126i | −0.177179 | + | 0.243866i | ||||
\(629\) | 1.44773 | − | 4.45565i | 0.0577247 | − | 0.177658i | ||||
\(630\) | −27.4451 | − | 66.0655i | −1.09344 | − | 2.63211i | ||||
\(631\) | 11.1213 | − | 34.2279i | 0.442733 | − | 1.36259i | −0.442218 | − | 0.896908i | \(-0.645808\pi\) |
0.884951 | − | 0.465684i | \(-0.154192\pi\) | |||||||
\(632\) | 0.954216 | − | 2.93677i | 0.0379567 | − | 0.116819i | ||||
\(633\) | 29.4569 | + | 26.9147i | 1.17081 | + | 1.06976i | ||||
\(634\) | −13.6228 | + | 18.7502i | −0.541030 | + | 0.744664i | ||||
\(635\) | 17.9772 | − | 12.7733i | 0.713405 | − | 0.506893i | ||||
\(636\) | 21.8151 | + | 38.4294i | 0.865024 | + | 1.52382i | ||||
\(637\) | −7.16226 | − | 22.0432i | −0.283779 | − | 0.873383i | ||||
\(638\) | −0.933358 | − | 2.19418i | −0.0369520 | − | 0.0868685i | ||||
\(639\) | 4.84273 | − | 4.23416i | 0.191575 | − | 0.167501i | ||||
\(640\) | −17.1165 | − | 5.76207i | −0.676590 | − | 0.227766i | ||||
\(641\) | 0.870660 | + | 0.282895i | 0.0343890 | + | 0.0111737i | 0.326161 | − | 0.945314i | \(-0.394245\pi\) |
−0.291772 | + | 0.956488i | \(0.594245\pi\) | |||||||
\(642\) | −56.2186 | + | 11.5218i | −2.21877 | + | 0.454728i | ||||
\(643\) | −9.93447 | − | 3.22790i | −0.391777 | − | 0.127296i | 0.106503 | − | 0.994312i | \(-0.466035\pi\) |
−0.498280 | + | 0.867016i | \(0.666035\pi\) | |||||||
\(644\) | 3.05841 | + | 9.41281i | 0.120518 | + | 0.370916i | ||||
\(645\) | 13.8077 | + | 24.9334i | 0.543678 | + | 0.981752i | ||||
\(646\) | −8.40259 | + | 2.73017i | −0.330595 | + | 0.107417i | ||||
\(647\) | −9.52277 | + | 29.3081i | −0.374379 | + | 1.15222i | 0.569518 | + | 0.821979i | \(0.307130\pi\) |
−0.943897 | + | 0.330240i | \(0.892870\pi\) | |||||||
\(648\) | −1.67980 | − | 9.21721i | −0.0659888 | − | 0.362086i | ||||
\(649\) | 2.90088 | − | 12.6091i | 0.113869 | − | 0.494952i | ||||
\(650\) | −0.283129 | + | 13.4007i | −0.0111053 | + | 0.525620i | ||||
\(651\) | −51.2819 | + | 56.1257i | −2.00990 | + | 2.19974i | ||||
\(652\) | 10.3794 | + | 14.2861i | 0.406490 | + | 0.559486i | ||||
\(653\) | 19.7713 | 0.773712 | 0.386856 | − | 0.922140i | \(-0.373561\pi\) | ||||
0.386856 | + | 0.922140i | \(0.373561\pi\) | |||||||
\(654\) | −52.9621 | − | 24.0446i | −2.07098 | − | 0.940218i | ||||
\(655\) | 10.4923 | + | 33.4917i | 0.409970 | + | 1.30863i | ||||
\(656\) | −2.00424 | + | 6.16841i | −0.0782524 | + | 0.240836i | ||||
\(657\) | 10.8469 | − | 4.64097i | 0.423177 | − | 0.181062i | ||||
\(658\) | 73.8416 | − | 101.634i | 2.87864 | − | 3.96211i | ||||
\(659\) | −10.2129 | − | 31.4319i | −0.397837 | − | 1.22441i | −0.926730 | − | 0.375727i | \(-0.877393\pi\) |
0.528894 | − | 0.848688i | \(-0.322607\pi\) | |||||||
\(660\) | −25.2237 | − | 19.6921i | −0.981830 | − | 0.766515i | ||||
\(661\) | −8.95450 | + | 27.5591i | −0.348290 | + | 1.07193i | 0.611509 | + | 0.791237i | \(0.290563\pi\) |
−0.959799 | + | 0.280688i | \(0.909437\pi\) | |||||||
\(662\) | −33.1747 | − | 45.6610i | −1.28937 | − | 1.77467i | ||||
\(663\) | −0.564237 | − | 2.75310i | −0.0219131 | − | 0.106922i | ||||
\(664\) | 0.492292 | + | 1.51512i | 0.0191046 | + | 0.0587981i | ||||
\(665\) | 34.8991 | − | 10.9332i | 1.35333 | − | 0.423973i | ||||
\(666\) | −11.9027 | + | 19.9387i | −0.461220 | + | 0.772608i | ||||
\(667\) | 0.0827631 | − | 0.254719i | 0.00320460 | − | 0.00986275i | ||||
\(668\) | 19.2075 | − | 26.4368i | 0.743159 | − | 1.02287i | ||||
\(669\) | −46.2992 | − | 5.20789i | −1.79003 | − | 0.201349i | ||||
\(670\) | 10.9088 | + | 34.8212i | 0.421445 | + | 1.34526i | ||||
\(671\) | 5.06241 | − | 22.0046i | 0.195432 | − | 0.849478i | ||||
\(672\) | −68.9934 | − | 7.76063i | −2.66148 | − | 0.299373i | ||||
\(673\) | −3.42849 | −0.132158 | −0.0660792 | − | 0.997814i | \(-0.521049\pi\) | ||||
−0.0660792 | + | 0.997814i | \(0.521049\pi\) | |||||||
\(674\) | 10.5218 | − | 14.4820i | 0.405284 | − | 0.557826i | ||||
\(675\) | 6.95882 | + | 25.0315i | 0.267845 | + | 0.963462i | ||||
\(676\) | 8.77595 | − | 27.0096i | 0.337537 | − | 1.03883i | ||||
\(677\) | 2.61033 | − | 3.59282i | 0.100323 | − | 0.138083i | −0.755904 | − | 0.654683i | \(-0.772802\pi\) |
0.856227 | + | 0.516599i | \(0.172802\pi\) | |||||||
\(678\) | −48.7430 | + | 27.6698i | −1.87196 | + | 1.06265i | ||||
\(679\) | −78.5792 | + | 25.5319i | −3.01559 | + | 0.979826i | ||||
\(680\) | 2.98563 | + | 0.0315365i | 0.114494 | + | 0.00120937i | ||||
\(681\) | 17.7409 | − | 39.0773i | 0.679834 | − | 1.49745i | ||||
\(682\) | −13.7457 | + | 59.7479i | −0.526350 | + | 2.28786i | ||||
\(683\) | 1.09099 | − | 0.792649i | 0.0417455 | − | 0.0303299i | −0.566717 | − | 0.823913i | \(-0.691787\pi\) |
0.608462 | + | 0.793583i | \(0.291787\pi\) | |||||||
\(684\) | 24.1918 | − | 2.18642i | 0.924996 | − | 0.0835999i | ||||
\(685\) | −4.44130 | + | 13.1931i | −0.169693 | + | 0.504083i | ||||
\(686\) | 114.843 | − | 37.3146i | 4.38471 | − | 1.42468i | ||||
\(687\) | −21.8980 | − | 38.5755i | −0.835461 | − | 1.47175i | ||||
\(688\) | 20.4307 | 0.778914 | ||||||||
\(689\) | −4.00316 | − | 12.3205i | −0.152508 | − | 0.469373i | ||||
\(690\) | −1.23388 | − | 6.36140i | −0.0469729 | − | 0.242174i | ||||
\(691\) | 25.1249 | − | 18.2543i | 0.955798 | − | 0.694428i | 0.00362661 | − | 0.999993i | \(-0.498846\pi\) |
0.952171 | + | 0.305566i | \(0.0988456\pi\) | |||||||
\(692\) | 17.4124 | + | 23.9661i | 0.661919 | + | 0.911053i | ||||
\(693\) | −45.0817 | − | 21.7854i | −1.71251 | − | 0.827560i | ||||
\(694\) | 16.2971 | − | 11.8406i | 0.618631 | − | 0.449462i | ||||
\(695\) | −0.187622 | + | 17.7626i | −0.00711691 | + | 0.673772i | ||||
\(696\) | −0.451568 | − | 0.412596i | −0.0171166 | − | 0.0156394i | ||||
\(697\) | − | 2.99658i | − | 0.113504i | ||||||
\(698\) | −5.45440 | − | 3.96286i | −0.206452 | − | 0.149996i | ||||
\(699\) | 4.62654 | + | 22.5745i | 0.174992 | + | 0.853844i | ||||
\(700\) | −62.6673 | − | 1.32403i | −2.36860 | − | 0.0500436i | ||||
\(701\) | −5.71829 | − | 4.15458i | −0.215977 | − | 0.156916i | 0.474537 | − | 0.880236i | \(-0.342615\pi\) |
−0.690514 | + | 0.723319i | \(0.742615\pi\) | |||||||
\(702\) | −0.304738 | + | 13.9262i | −0.0115016 | + | 0.525611i | ||||
\(703\) | −9.60377 | − | 6.97754i | −0.362213 | − | 0.263163i | ||||
\(704\) | −34.5746 | + | 14.7073i | −1.30308 | + | 0.554303i | ||||
\(705\) | −31.1286 | + | 33.3545i | −1.17237 | + | 1.25620i | ||||
\(706\) | −0.0542088 | + | 0.0746120i | −0.00204018 | + | 0.00280806i | ||||
\(707\) | −0.609200 | − | 0.442609i | −0.0229113 | − | 0.0166460i | ||||
\(708\) | −3.37959 | − | 16.4902i | −0.127013 | − | 0.619739i | ||||
\(709\) | 43.7522 | 1.64315 | 0.821573 | − | 0.570103i | \(-0.193097\pi\) | ||||
0.821573 | + | 0.570103i | \(0.193097\pi\) | |||||||
\(710\) | −3.03771 | − | 9.69642i | −0.114003 | − | 0.363900i | ||||
\(711\) | −1.97693 | + | 8.67647i | −0.0741408 | + | 0.325393i | ||||
\(712\) | −0.942858 | + | 2.90182i | −0.0353351 | + | 0.108750i | ||||
\(713\) | −5.57117 | + | 4.04769i | −0.208642 | + | 0.151587i | ||||
\(714\) | 23.2107 | − | 4.75693i | 0.868637 | − | 0.178024i | ||||
\(715\) | 6.08492 | + | 7.13998i | 0.227563 | + | 0.267020i | ||||
\(716\) | 40.5524 | − | 13.1763i | 1.51551 | − | 0.492420i | ||||
\(717\) | 4.69262 | − | 41.7183i | 0.175249 | − | 1.55800i | ||||
\(718\) | 20.3800 | − | 28.0506i | 0.760574 | − | 1.04684i | ||||
\(719\) | 23.4473 | + | 7.61849i | 0.874437 | + | 0.284122i | 0.711646 | − | 0.702539i | \(-0.247950\pi\) |
0.162791 | + | 0.986661i | \(0.447950\pi\) | |||||||
\(720\) | 18.1138 | + | 4.32897i | 0.675060 | + | 0.161331i | ||||
\(721\) | 22.7710 | + | 31.3416i | 0.848037 | + | 1.16722i | ||||
\(722\) | − | 17.8792i | − | 0.665396i | ||||||
\(723\) | −11.9373 | + | 26.2939i | −0.443953 | + | 0.977879i | ||||
\(724\) | −11.4958 | − | 35.3805i | −0.427238 | − | 1.31490i | ||||
\(725\) | 1.35090 | + | 1.02577i | 0.0501710 | + | 0.0380962i | ||||
\(726\) | −40.2943 | + | 2.58446i | −1.49546 | + | 0.0959181i | ||||
\(727\) | −14.1608 | − | 4.60114i | −0.525196 | − | 0.170647i | 0.0344059 | − | 0.999408i | \(-0.489046\pi\) |
−0.559602 | + | 0.828761i | \(0.689046\pi\) | |||||||
\(728\) | −6.30215 | − | 2.04769i | −0.233573 | − | 0.0758925i | ||||
\(729\) | 7.21220 | + | 26.0189i | 0.267118 | + | 0.963664i | ||||
\(730\) | 0.196838 | − | 18.6350i | 0.00728529 | − | 0.689714i | ||||
\(731\) | −8.97737 | + | 2.91692i | −0.332040 | + | 0.107886i | ||||
\(732\) | −5.89783 | − | 28.7775i | −0.217990 | − | 1.06365i | ||||
\(733\) | 11.1904 | − | 34.4404i | 0.413326 | − | 1.27209i | −0.500414 | − | 0.865786i | \(-0.666819\pi\) |
0.913740 | − | 0.406300i | \(-0.133181\pi\) | |||||||
\(734\) | 6.39075 | − | 19.6687i | 0.235887 | − | 0.725985i | ||||
\(735\) | −69.6660 | + | 13.5126i | −2.56967 | + | 0.498421i | ||||
\(736\) | −5.98097 | − | 1.94334i | −0.220462 | − | 0.0716323i | ||||
\(737\) | 21.9012 | + | 13.1368i | 0.806742 | + | 0.483899i | ||||
\(738\) | −3.29963 | + | 14.4816i | −0.121461 | + | 0.533075i | ||||
\(739\) | − | 42.1967i | − | 1.55223i | −0.630592 | − | 0.776115i | \(-0.717188\pi\) | ||
0.630592 | − | 0.776115i | \(-0.282812\pi\) | |||||||
\(740\) | 11.7845 | + | 16.5856i | 0.433208 | + | 0.609699i | ||||
\(741\) | −7.07629 | − | 0.795967i | −0.259954 | − | 0.0292406i | ||||
\(742\) | 103.871 | − | 33.7496i | 3.81321 | − | 1.23899i | ||||
\(743\) | −38.4993 | − | 12.5092i | −1.41240 | − | 0.458917i | −0.499222 | − | 0.866474i | \(-0.666381\pi\) |
−0.913180 | + | 0.407557i | \(0.866381\pi\) | |||||||
\(744\) | 3.15763 | + | 15.4071i | 0.115764 | + | 0.564853i | ||||
\(745\) | −7.68535 | − | 5.70873i | −0.281570 | − | 0.209152i | ||||
\(746\) | −31.8442 | − | 10.3468i | −1.16590 | − | 0.378823i | ||||
\(747\) | −1.80597 | − | 4.22090i | −0.0660769 | − | 0.154435i | ||||
\(748\) | 7.99320 | − | 6.95913i | 0.292260 | − | 0.254451i | ||||
\(749\) | 78.6735i | 2.87467i | ||||||||
\(750\) | 40.6161 | + | 5.87703i | 1.48309 | + | 0.214599i | ||||
\(751\) | −14.9482 | − | 10.8605i | −0.545466 | − | 0.396304i | 0.280645 | − | 0.959812i | \(-0.409452\pi\) |
−0.826111 | + | 0.563507i | \(0.809452\pi\) | |||||||
\(752\) | 10.1062 | + | 31.1038i | 0.368537 | + | 1.13424i | ||||
\(753\) | 8.14063 | − | 17.9311i | 0.296661 | − | 0.653445i | ||||
\(754\) | 0.534544 | + | 0.735737i | 0.0194669 | + | 0.0267940i | ||||
\(755\) | 5.50040 | + | 7.74129i | 0.200180 | + | 0.281735i | ||||
\(756\) | −65.1247 | − | 1.42508i | −2.36856 | − | 0.0518296i | ||||
\(757\) | 11.7963 | − | 3.83286i | 0.428745 | − | 0.139308i | −0.0866921 | − | 0.996235i | \(-0.527630\pi\) |
0.515437 | + | 0.856928i | \(0.327630\pi\) | |||||||
\(758\) | 7.15561 | + | 9.84885i | 0.259903 | + | 0.357726i | ||||
\(759\) | −3.60413 | − | 2.75297i | −0.130821 | − | 0.0999265i | ||||
\(760\) | 2.41374 | − | 7.17015i | 0.0875557 | − | 0.260089i | ||||
\(761\) | −26.8546 | −0.973479 | −0.486739 | − | 0.873547i | \(-0.661814\pi\) | ||||
−0.486739 | + | 0.873547i | \(0.661814\pi\) | |||||||
\(762\) | −7.26828 | − | 35.4644i | −0.263302 | − | 1.28474i | ||||
\(763\) | −46.8697 | + | 64.5106i | −1.69680 | + | 2.33544i | ||||
\(764\) | −5.94387 | + | 8.18104i | −0.215042 | + | 0.295980i | ||||
\(765\) | −8.57734 | + | 0.683956i | −0.310114 | + | 0.0247285i | ||||
\(766\) | 24.6302 | − | 33.9005i | 0.889925 | − | 1.22488i | ||||
\(767\) | 4.93471i | 0.178182i | ||||||||
\(768\) | 6.47295 | − | 7.08435i | 0.233572 | − | 0.255634i | ||||
\(769\) | 6.04642 | + | 8.32218i | 0.218040 | + | 0.300106i | 0.903999 | − | 0.427534i | \(-0.140617\pi\) |
−0.685960 | + | 0.727639i | \(0.740617\pi\) | |||||||
\(770\) | −60.1952 | + | 51.3003i | −2.16929 | + | 1.84873i | ||||
\(771\) | −5.16955 | + | 45.9583i | −0.186177 | + | 1.65515i | ||||
\(772\) | −11.7460 | + | 36.1504i | −0.422747 | + | 1.30108i | ||||
\(773\) | 43.2805 | − | 31.4451i | 1.55669 | − | 1.13100i | 0.618032 | − | 0.786153i | \(-0.287930\pi\) |
0.938658 | − | 0.344848i | \(-0.112070\pi\) | |||||||
\(774\) | 46.5969 | − | 4.21137i | 1.67489 | − | 0.151374i | ||||
\(775\) | −12.5979 | − | 41.7536i | −0.452531 | − | 1.49984i | ||||
\(776\) | −5.28177 | + | 16.2556i | −0.189604 | + | 0.583542i | ||||
\(777\) | 23.5017 | + | 21.4735i | 0.843120 | + | 0.770356i | ||||
\(778\) | −18.9306 | − | 58.2623i | −0.678694 | − | 2.08880i | ||||
\(779\) | −7.22124 | − | 2.34632i | −0.258728 | − | 0.0840658i | ||||
\(780\) | 11.0592 | + | 5.16241i | 0.395983 | + | 0.184844i | ||||
\(781\) | −6.09869 | − | 3.65811i | −0.218228 | − | 0.130897i | ||||
\(782\) | 2.14610 | 0.0767443 | ||||||||
\(783\) | 1.40309 | + | 1.06707i | 0.0501423 | + | 0.0381340i | ||||
\(784\) | −15.7196 | + | 48.3798i | −0.561413 | + | 1.72785i | ||||
\(785\) | −3.92718 | − | 5.52714i | −0.140167 | − | 0.197272i | ||||
\(786\) | 57.2525 | + | 6.43997i | 2.04213 | + | 0.229706i | ||||
\(787\) | 8.21858 | 0.292961 | 0.146480 | − | 0.989214i | \(-0.453205\pi\) | ||||
0.146480 | + | 0.989214i | \(0.453205\pi\) | |||||||
\(788\) | −10.5168 | + | 14.4751i | −0.374646 | + | 0.515656i | ||||
\(789\) | −16.8397 | + | 37.0921i | −0.599508 | + | 1.32051i | ||||
\(790\) | 11.2841 | + | 8.38189i | 0.401470 | + | 0.298214i | ||||
\(791\) | 23.7446 | + | 73.0784i | 0.844261 | + | 2.59837i | ||||
\(792\) | −9.12771 | + | 4.89591i | −0.324339 | + | 0.173969i | ||||
\(793\) | 8.61172i | 0.305811i | ||||||||
\(794\) | 44.5359 | + | 32.3572i | 1.58052 | + | 1.14832i | ||||
\(795\) | −38.9380 | + | 7.55254i | −1.38099 | + | 0.267861i | ||||
\(796\) | −32.5178 | −1.15256 | ||||||||
\(797\) | 1.44091 | − | 1.04688i | 0.0510397 | − | 0.0370825i | −0.561973 | − | 0.827156i | \(-0.689957\pi\) |
0.613013 | + | 0.790073i | \(0.289957\pi\) | |||||||
\(798\) | 6.71058 | − | 59.6583i | 0.237552 | − | 2.11188i | ||||
\(799\) | −8.88147 | − | 12.2243i | −0.314204 | − | 0.432465i | ||||
\(800\) | 24.0858 | − | 31.7200i | 0.851563 | − | 1.12147i | ||||
\(801\) | 1.95340 | − | 8.57320i | 0.0690201 | − | 0.302919i | ||||
\(802\) | −22.8469 | + | 70.3155i | −0.806751 | + | 2.48293i | ||||
\(803\) | −8.56464 | − | 9.83727i | −0.302240 | − | 0.347150i | ||||
\(804\) | 33.0178 | + | 3.71396i | 1.16445 | + | 0.130981i | ||||
\(805\) | −8.88306 | − | 0.0938298i | −0.313087 | − | 0.00330707i | ||||
\(806\) | − | 23.3829i | − | 0.823629i | ||||||
\(807\) | −2.02339 | + | 4.45684i | −0.0712266 | + | 0.156888i | ||||
\(808\) | −0.148151 | + | 0.0481371i | −0.00521192 | + | 0.00169346i | ||||
\(809\) | −40.6477 | −1.42910 | −0.714549 | − | 0.699585i | \(-0.753368\pi\) | ||||
−0.714549 | + | 0.699585i | \(0.753368\pi\) | |||||||
\(810\) | 42.2048 | + | 6.13942i | 1.48293 | + | 0.215717i | ||||
\(811\) | −16.6144 | − | 22.8678i | −0.583411 | − | 0.802997i | 0.410653 | − | 0.911792i | \(-0.365301\pi\) |
−0.994064 | + | 0.108795i | \(0.965301\pi\) | |||||||
\(812\) | −3.44061 | + | 2.49975i | −0.120742 | + | 0.0877239i | ||||
\(813\) | −32.1379 | − | 29.3643i | −1.12713 | − | 1.02985i | ||||
\(814\) | 25.0185 | + | 5.75579i | 0.876897 | + | 0.201740i | ||||
\(815\) | −15.1251 | + | 4.73843i | −0.529811 | + | 0.165980i | ||||
\(816\) | −2.54979 | + | 5.61634i | −0.0892607 | + | 0.196611i | ||||
\(817\) | 23.9179i | 0.836780i | ||||||||
\(818\) | 0.500230 | − | 0.363438i | 0.0174901 | − | 0.0127073i | ||||
\(819\) | 18.6192 | + | 4.24238i | 0.650608 | + | 0.148241i | ||||
\(820\) | 10.4469 | + | 7.76001i | 0.364821 | + | 0.270991i | ||||
\(821\) | −2.38128 | −0.0831073 | −0.0415536 | − | 0.999136i | \(-0.513231\pi\) | ||||
−0.0415536 | + | 0.999136i | \(0.513231\pi\) | |||||||
\(822\) | 16.8700 | + | 15.4141i | 0.588410 | + | 0.537629i | ||||
\(823\) | − | 25.3819i | − | 0.884756i | −0.896829 | − | 0.442378i | \(-0.854135\pi\) | ||
0.896829 | − | 0.442378i | \(-0.145865\pi\) | |||||||
\(824\) | 8.01418 | 0.279187 | ||||||||
\(825\) | 23.9749 | − | 15.8179i | 0.834697 | − | 0.550709i | ||||
\(826\) | −41.6032 | −1.44756 | ||||||||
\(827\) | 38.8467i | 1.35083i | 0.737438 | + | 0.675415i | \(0.236036\pi\) | ||||
−0.737438 | + | 0.675415i | \(0.763964\pi\) | |||||||
\(828\) | −5.75290 | − | 1.31080i | −0.199927 | − | 0.0455534i | ||||
\(829\) | 10.3589 | 0.359780 | 0.179890 | − | 0.983687i | \(-0.442426\pi\) | ||||
0.179890 | + | 0.983687i | \(0.442426\pi\) | |||||||
\(830\) | −7.25156 | − | 0.0765966i | −0.251705 | − | 0.00265871i | ||||
\(831\) | 11.1600 | − | 12.2141i | 0.387137 | − | 0.423704i | ||||
\(832\) | 11.5933 | − | 8.42303i | 0.401926 | − | 0.292016i | ||||
\(833\) | − | 23.5027i | − | 0.814319i | ||||||
\(834\) | 26.5518 | + | 12.0544i | 0.919412 | + | 0.417409i | ||||
\(835\) | 16.9887 | + | 23.9100i | 0.587917 | + | 0.827438i | ||||
\(836\) | −10.5116 | − | 24.7112i | −0.363552 | − | 0.854655i | ||||
\(837\) | −13.0594 | − | 43.4015i | −0.451400 | − | 1.50018i | ||||
\(838\) | 61.2874 | − | 44.5279i | 2.11714 | − | 1.53819i | ||||
\(839\) | −15.4933 | − | 21.3247i | −0.534888 | − | 0.736210i | 0.452977 | − | 0.891522i | \(-0.350362\pi\) |
−0.987866 | + | 0.155312i | \(0.950362\pi\) | |||||||
\(840\) | −8.58177 | + | 18.3844i | −0.296099 | + | 0.634321i | ||||
\(841\) | −28.8849 | −0.996032 | ||||||||
\(842\) | 27.4142 | − | 8.90742i | 0.944756 | − | 0.306970i | ||||
\(843\) | 23.1511 | + | 10.5105i | 0.797365 | + | 0.362001i | ||||
\(844\) | − | 57.3900i | − | 1.97545i | ||||||
\(845\) | 20.4632 | + | 15.2002i | 0.703956 | + | 0.522902i | ||||
\(846\) | 29.4610 | + | 68.8560i | 1.01289 | + | 2.36732i | ||||
\(847\) | −7.61984 | + | 54.8271i | −0.261821 | + | 1.88388i | ||||
\(848\) | −8.78605 | + | 27.0407i | −0.301714 | + | 0.928581i | ||||
\(849\) | 8.12732 | − | 8.89499i | 0.278929 | − | 0.305275i | ||||
\(850\) | −4.47219 | + | 12.8349i | −0.153395 | + | 0.440233i | ||||
\(851\) | 1.69491 | + | 2.33284i | 0.0581006 | + | 0.0799686i | ||||
\(852\) | −9.19424 | − | 1.03420i | −0.314990 | − | 0.0354311i | ||||
\(853\) | 24.9947 | − | 18.1597i | 0.855803 | − | 0.621777i | −0.0709372 | − | 0.997481i | \(-0.522599\pi\) |
0.926740 | + | 0.375704i | \(0.122599\pi\) | |||||||
\(854\) | −72.6031 | −2.48443 | ||||||||
\(855\) | −5.06784 | + | 21.2054i | −0.173317 | + | 0.725210i | ||||
\(856\) | 13.1668 | + | 9.56627i | 0.450033 | + | 0.326968i | ||||
\(857\) | − | 4.54844i | − | 0.155372i | −0.996978 | − | 0.0776859i | \(-0.975247\pi\) | ||
0.996978 | − | 0.0776859i | \(-0.0247531\pi\) | |||||||
\(858\) | 14.7559 | − | 4.40622i | 0.503758 | − | 0.150426i | ||||
\(859\) | −1.25755 | − | 3.87035i | −0.0429072 | − | 0.132055i | 0.927308 | − | 0.374299i | \(-0.122117\pi\) |
−0.970215 | + | 0.242244i | \(0.922117\pi\) | |||||||
\(860\) | 13.0788 | − | 38.8513i | 0.445983 | − | 1.32482i | ||||
\(861\) | 18.5407 | + | 8.41742i | 0.631867 | + | 0.286865i | ||||
\(862\) | −10.8908 | + | 14.9898i | −0.370941 | + | 0.510556i | ||||
\(863\) | 35.5231 | 1.20922 | 0.604610 | − | 0.796521i | \(-0.293329\pi\) | ||||
0.604610 | + | 0.796521i | \(0.293329\pi\) | |||||||
\(864\) | 25.0556 | − | 32.9455i | 0.852408 | − | 1.12083i | ||||
\(865\) | −25.3737 | + | 7.94911i | −0.862731 | + | 0.270278i | ||||
\(866\) | −7.84321 | + | 24.1389i | −0.266523 | + | 0.820274i | ||||
\(867\) | −2.97277 | + | 26.4284i | −0.100960 | + | 0.897557i | ||||
\(868\) | 109.348 | 3.71152 | ||||||||
\(869\) | 9.79994 | − | 0.864946i | 0.332440 | − | 0.0293413i | ||||
\(870\) | 2.43586 | − | 1.34894i | 0.0825835 | − | 0.0457334i | ||||
\(871\) | −9.26374 | − | 3.00997i | −0.313890 | − | 0.101989i | ||||
\(872\) | 5.09743 | + | 15.6883i | 0.172621 | + | 0.531272i | ||||
\(873\) | 10.9427 | − | 48.0259i | 0.370354 | − | 1.62543i | ||||
\(874\) | 1.68039 | − | 5.17172i | 0.0568402 | − | 0.174936i | ||||
\(875\) | 19.0723 | − | 52.9303i | 0.644761 | − | 1.78937i | ||||
\(876\) | −15.4513 | − | 7.01483i | −0.522051 | − | 0.237009i | ||||
\(877\) | −8.83152 | + | 6.41648i | −0.298219 | + | 0.216669i | −0.726825 | − | 0.686823i | \(-0.759005\pi\) |
0.428606 | + | 0.903492i | \(0.359005\pi\) | |||||||
\(878\) | −10.4225 | + | 32.0772i | −0.351742 | + | 1.08255i | ||||
\(879\) | 22.8840 | + | 2.57408i | 0.771859 | + | 0.0868214i | ||||
\(880\) | −1.59347 | − | 20.5277i | −0.0537158 | − | 0.691989i | ||||
\(881\) | 3.14050 | + | 4.32253i | 0.105806 | + | 0.145630i | 0.858637 | − | 0.512585i | \(-0.171312\pi\) |
−0.752830 | + | 0.658215i | \(0.771312\pi\) | |||||||
\(882\) | −25.8795 | + | 113.581i | −0.871408 | + | 3.82448i | ||||
\(883\) | 20.5036i | 0.690001i | 0.938603 | + | 0.345000i | \(0.112121\pi\) | ||||
−0.938603 | + | 0.345000i | \(0.887879\pi\) | |||||||
\(884\) | −2.37589 | + | 3.27013i | −0.0799097 | + | 0.109986i | ||||
\(885\) | 14.9956 | + | 1.84735i | 0.504071 | + | 0.0620978i | ||||
\(886\) | 45.6591 | − | 62.8444i | 1.53395 | − | 2.11130i | ||||
\(887\) | 3.63727 | − | 5.00627i | 0.122128 | − | 0.168094i | −0.743576 | − | 0.668652i | \(-0.766872\pi\) |
0.865703 | + | 0.500558i | \(0.166872\pi\) | |||||||
\(888\) | 6.45149 | − | 1.32221i | 0.216498 | − | 0.0443703i | ||||
\(889\) | −49.6296 | −1.66452 | ||||||||
\(890\) | −11.1498 | − | 8.28212i | −0.373742 | − | 0.277617i | ||||
\(891\) | 24.9278 | − | 16.4197i | 0.835112 | − | 0.550079i | ||||
\(892\) | 39.3888 | + | 54.2140i | 1.31883 | + | 1.81522i | ||||
\(893\) | −36.4126 | + | 11.8312i | −1.21850 | + | 0.395915i | ||||
\(894\) | −13.6671 | + | 7.75838i | −0.457097 | + | 0.259479i | ||||
\(895\) | −0.404239 | + | 38.2701i | −0.0135122 | + | 1.27923i | ||||
\(896\) | 23.8900 | + | 32.8818i | 0.798110 | + | 1.09850i | ||||
\(897\) | 1.57502 | + | 0.715051i | 0.0525883 | + | 0.0238749i | ||||
\(898\) | 0.756335 | + | 2.32776i | 0.0252392 | + | 0.0776783i | ||||
\(899\) | −2.39393 | − | 1.73929i | −0.0798419 | − | 0.0580086i | ||||
\(900\) | 19.8276 | − | 31.6741i | 0.660920 | − | 1.05580i | ||||
\(901\) | − | 13.1362i | − | 0.437631i | ||||||
\(902\) | 16.3567 | − | 1.44365i | 0.544620 | − | 0.0480683i | ||||
\(903\) | 7.16962 | − | 63.7393i | 0.238590 | − | 2.12111i | ||||
\(904\) | 15.1176 | + | 4.91202i | 0.502806 | + | 0.163371i | ||||
\(905\) | 33.3893 | + | 0.352684i | 1.10990 | + | 0.0117236i | ||||
\(906\) | 15.2715 | − | 3.12984i | 0.507363 | − | 0.103982i | ||||
\(907\) | −20.0135 | − | 6.50277i | −0.664537 | − | 0.215921i | −0.0427238 | − | 0.999087i | \(-0.513604\pi\) |
−0.621813 | + | 0.783166i | \(0.713604\pi\) | |||||||
\(908\) | −58.7050 | + | 19.0744i | −1.94819 | + | 0.633007i | ||||
\(909\) | 0.412726 | − | 0.176590i | 0.0136893 | − | 0.00585713i | ||||
\(910\) | 17.9871 | − | 24.2150i | 0.596265 | − | 0.802720i | ||||
\(911\) | − | 27.2463i | − | 0.902709i | −0.892345 | − | 0.451354i | \(-0.850941\pi\) | ||
0.892345 | − | 0.451354i | \(-0.149059\pi\) | |||||||
\(912\) | 11.5379 | + | 10.5422i | 0.382058 | + | 0.349085i | ||||
\(913\) | −3.82803 | + | 3.33281i | −0.126689 | + | 0.110300i | ||||
\(914\) | −72.1350 | − | 23.4381i | −2.38601 | − | 0.775263i | ||||
\(915\) | 26.1692 | + | 3.22386i | 0.865128 | + | 0.106577i | ||||
\(916\) | −19.7151 | + | 60.6770i | −0.651407 | + | 2.00482i | ||||
\(917\) | 24.4074 | − | 75.1183i | 0.806004 | − | 2.48062i | ||||
\(918\) | −4.65769 | + | 13.3349i | −0.153727 | + | 0.440118i | ||||
\(919\) | −34.9657 | + | 11.3610i | −1.15341 | + | 0.374766i | −0.822427 | − | 0.568871i | \(-0.807381\pi\) |
−0.330984 | + | 0.943636i | \(0.607381\pi\) | |||||||
\(920\) | −1.09583 | + | 1.47526i | −0.0361286 | + | 0.0486380i | ||||
\(921\) | 38.0532 | − | 41.6475i | 1.25389 | − | 1.37233i | ||||
\(922\) | −2.27792 | − | 0.740141i | −0.0750193 | − | 0.0243752i | ||||
\(923\) | 2.57961 | + | 0.838167i | 0.0849090 | + | 0.0275886i | ||||
\(924\) | 20.6053 | + | 69.0045i | 0.677864 | + | 2.27008i | ||||
\(925\) | −17.4837 | + | 5.27518i | −0.574859 | + | 0.173447i | ||||
\(926\) | −17.2843 | − | 53.1957i | −0.567999 | − | 1.74812i | ||||
\(927\) | −23.0018 | + | 2.07887i | −0.755478 | + | 0.0682791i | ||||
\(928\) | − | 2.70228i | − | 0.0887066i | ||||||
\(929\) | −19.5688 | − | 26.9342i | −0.642032 | − | 0.883681i | 0.356690 | − | 0.934223i | \(-0.383905\pi\) |
−0.998722 | + | 0.0505418i | \(0.983905\pi\) | |||||||
\(930\) | −71.0560 | − | 8.75357i | −2.33002 | − | 0.287041i | ||||
\(931\) | −56.6373 | − | 18.4026i | −1.85621 | − | 0.603120i | ||||
\(932\) | 19.4814 | − | 26.8139i | 0.638135 | − | 0.878318i | ||||
\(933\) | 29.3516 | + | 3.30157i | 0.960929 | + | 0.108089i | ||||
\(934\) | −0.137405 | + | 0.0446457i | −0.00449604 | + | 0.00146085i | ||||
\(935\) | 3.63095 | + | 8.79248i | 0.118745 | + | 0.287545i | ||||
\(936\) | 2.97400 | − | 2.60027i | 0.0972082 | − | 0.0849924i | ||||
\(937\) | 0.881543 | − | 0.640478i | 0.0287987 | − | 0.0209235i | −0.573293 | − | 0.819351i | \(-0.694334\pi\) |
0.602092 | + | 0.798427i | \(0.294334\pi\) | |||||||
\(938\) | 25.3763 | − | 78.1001i | 0.828564 | − | 2.55006i | ||||
\(939\) | −1.15822 | − | 1.05826i | −0.0377969 | − | 0.0345349i | ||||
\(940\) | 65.6168 | + | 0.693096i | 2.14019 | + | 0.0226063i | ||||
\(941\) | 19.3512 | 0.630833 | 0.315416 | − | 0.948953i | \(-0.397856\pi\) | ||||
0.315416 | + | 0.948953i | \(0.397856\pi\) | |||||||
\(942\) | −10.9036 | + | 2.23465i | −0.355259 | + | 0.0728088i | ||||
\(943\) | 1.49213 | + | 1.08409i | 0.0485904 | + | 0.0353030i | ||||
\(944\) | 6.36606 | − | 8.76213i | 0.207198 | − | 0.285183i | ||||
\(945\) | 19.8620 | − | 54.9918i | 0.646110 | − | 1.78888i | ||||
\(946\) | −20.2469 | − | 47.5974i | −0.658284 | − | 1.54752i | ||||
\(947\) | 30.2795 | + | 21.9994i | 0.983953 | + | 0.714884i | 0.958589 | − | 0.284795i | \(-0.0919254\pi\) |
0.0253643 | + | 0.999678i | \(0.491925\pi\) | |||||||
\(948\) | 11.1308 | − | 6.31861i | 0.361513 | − | 0.205219i | ||||
\(949\) | 4.02456 | + | 2.92402i | 0.130643 | + | 0.0949176i | ||||
\(950\) | 27.4281 | + | 20.8269i | 0.889886 | + | 0.675714i | ||||
\(951\) | −18.5563 | + | 3.80304i | −0.601730 | + | 0.123322i | ||||
\(952\) | −5.43612 | − | 3.94957i | −0.176186 | − | 0.128006i | ||||
\(953\) | 15.7481i | 0.510132i | 0.966924 | + | 0.255066i | \(0.0820973\pi\) | ||||
−0.966924 | + | 0.255066i | \(0.917903\pi\) | |||||||
\(954\) | −14.4647 | + | 63.4834i | −0.468312 | + | 2.05535i | ||||
\(955\) | −5.25725 | − | 7.39909i | −0.170121 | − | 0.239429i | ||||
\(956\) | −48.8500 | + | 35.4916i | −1.57992 | + | 1.14788i | ||||
\(957\) | 0.646480 | − | 1.83844i | 0.0208977 | − | 0.0594284i | ||||
\(958\) | −23.3200 | − | 32.0973i | −0.753436 | − | 1.03702i | ||||
\(959\) | 25.3447 | − | 18.4140i | 0.818424 | − | 0.594620i | ||||
\(960\) | −21.2558 | − | 38.3829i | −0.686029 | − | 1.23880i | ||||
\(961\) | 13.9314 | + | 42.8765i | 0.449400 | + | 1.38311i | ||||
\(962\) | −9.79123 | −0.315682 | ||||||||
\(963\) | −40.2721 | − | 24.0410i | −1.29775 | − | 0.774711i | ||||
\(964\) | 39.5007 | − | 12.8346i | 1.27223 | − | 0.413373i | ||||
\(965\) | −27.3885 | − | 20.3444i | −0.881668 | − | 0.654908i | ||||
\(966\) | −6.02840 | + | 13.2785i | −0.193961 | + | 0.427230i | ||||
\(967\) | −39.7903 | + | 28.9093i | −1.27957 | + | 0.929661i | −0.999540 | − | 0.0303303i | \(-0.990344\pi\) |
−0.280029 | + | 0.959992i | \(0.590344\pi\) | |||||||
\(968\) | 8.24936 | + | 7.94193i | 0.265144 | + | 0.255263i | ||||
\(969\) | −6.57494 | − | 2.98499i | −0.211217 | − | 0.0958918i | ||||
\(970\) | −62.4596 | − | 46.3954i | −2.00546 | − | 1.48967i | ||||
\(971\) | 36.9053 | − | 11.9912i | 1.18435 | − | 0.384817i | 0.350366 | − | 0.936613i | \(-0.386057\pi\) |
0.833980 | + | 0.551795i | \(0.186057\pi\) | |||||||
\(972\) | 20.6303 | − | 32.9011i | 0.661716 | − | 1.05530i | ||||
\(973\) | 23.4974 | − | 32.3414i | 0.753293 | − | 1.03682i | ||||
\(974\) | −5.42181 | + | 16.6866i | −0.173726 | + | 0.534674i | ||||
\(975\) | −7.55854 | + | 7.92943i | −0.242067 | + | 0.253945i | ||||
\(976\) | 11.1096 | − | 15.2911i | 0.355610 | − | 0.489455i | ||||
\(977\) | −50.0818 | −1.60226 | −0.801129 | − | 0.598492i | \(-0.795767\pi\) | ||||
−0.801129 | + | 0.598492i | \(0.795767\pi\) | |||||||
\(978\) | −2.90834 | + | 25.8557i | −0.0929986 | + | 0.826775i | ||||
\(979\) | −9.68330 | + | 0.854651i | −0.309480 | + | 0.0273148i | ||||
\(980\) | 81.9366 | + | 60.8630i | 2.61737 | + | 1.94420i | ||||
\(981\) | −18.6999 | − | 43.7052i | −0.597040 | − | 1.39540i | ||||
\(982\) | −8.28656 | + | 11.4055i | −0.264435 | + | 0.363963i | ||||
\(983\) | −3.62985 | + | 11.1715i | −0.115774 | + | 0.356317i | −0.992108 | − | 0.125388i | \(-0.959982\pi\) |
0.876333 | + | 0.481705i | \(0.159982\pi\) | |||||||
\(984\) | 3.66319 | − | 2.07947i | 0.116778 | − | 0.0662912i | ||||
\(985\) | −9.30194 | − | 13.0916i | −0.296384 | − | 0.417133i | ||||
\(986\) | 0.284968 | + | 0.877042i | 0.00907524 | + | 0.0279307i | ||||
\(987\) | 100.583 | − | 20.6142i | 3.20161 | − | 0.656156i | ||||
\(988\) | 6.02012 | + | 8.28598i | 0.191526 | + | 0.263612i | ||||
\(989\) | 1.79534 | − | 5.52550i | 0.0570886 | − | 0.175701i | ||||
\(990\) | −7.86562 | − | 46.4896i | −0.249986 | − | 1.47754i | ||||
\(991\) | 11.6938 | + | 35.9899i | 0.371466 | + | 1.14326i | 0.945832 | + | 0.324657i | \(0.105249\pi\) |
−0.574365 | + | 0.818599i | \(0.694751\pi\) | |||||||
\(992\) | −40.8397 | + | 56.2111i | −1.29666 | + | 1.78470i | ||||
\(993\) | 5.15615 | − | 45.8392i | 0.163626 | − | 1.45466i | ||||
\(994\) | −7.06636 | + | 21.7480i | −0.224131 | + | 0.689805i | ||||
\(995\) | 9.31209 | − | 27.6621i | 0.295213 | − | 0.876946i | ||||
\(996\) | −2.72972 | + | 6.01266i | −0.0864945 | + | 0.190518i | ||||
\(997\) | −33.2016 | −1.05151 | −0.525753 | − | 0.850637i | \(-0.676216\pi\) | ||||
−0.525753 | + | 0.850637i | \(0.676216\pi\) | |||||||
\(998\) | 19.7347 | + | 27.1624i | 0.624690 | + | 0.859812i | ||||
\(999\) | −18.1737 | + | 5.46843i | −0.574990 | + | 0.173013i |
(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 | 825.2.s.a.479.19 | ✓ | 464 | |
3.2 | odd | 2 | inner | 825.2.s.a.479.98 | yes | 464 | |
11.2 | odd | 10 | 825.2.bu.a.629.98 | yes | 464 | ||
25.19 | even | 10 | 825.2.bu.a.644.19 | yes | 464 | ||
33.2 | even | 10 | 825.2.bu.a.629.19 | yes | 464 | ||
75.44 | odd | 10 | 825.2.bu.a.644.98 | yes | 464 | ||
275.244 | odd | 10 | inner | 825.2.s.a.794.19 | yes | 464 | |
825.794 | even | 10 | inner | 825.2.s.a.794.98 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
825.2.s.a.479.19 | ✓ | 464 | 1.1 | even | 1 | trivial | |
825.2.s.a.479.98 | yes | 464 | 3.2 | odd | 2 | inner | |
825.2.s.a.794.19 | yes | 464 | 275.244 | odd | 10 | inner | |
825.2.s.a.794.98 | yes | 464 | 825.794 | even | 10 | inner | |
825.2.bu.a.629.19 | yes | 464 | 33.2 | even | 10 | ||
825.2.bu.a.629.98 | yes | 464 | 11.2 | odd | 10 | ||
825.2.bu.a.644.19 | yes | 464 | 25.19 | even | 10 | ||
825.2.bu.a.644.98 | yes | 464 | 75.44 | odd | 10 |