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 | 794.19 | ||
Character | \(\chi\) | \(=\) | 825.794 |
Dual form | 825.2.s.a.479.98 |
$q$-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 \(\left(\mathbb{Z}/825\mathbb{Z}\right)^\times\).
\(n\) | \(376\) | \(551\) | \(727\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) |
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 | \(-0.269594\pi\) | |||||||
\(3\) | 1.69678 | − | 0.347748i | 0.979638 | − | 0.200773i | ||||
\(4\) | −2.49121 | −1.24561 | ||||||||
\(5\) | −0.713406 | − | 2.11921i | −0.319045 | − | 0.947740i | ||||
\(6\) | −0.736965 | − | 3.59590i | −0.300865 | − | 1.46802i | ||||
\(7\) | −4.07113 | − | 2.95785i | −1.53874 | − | 1.11796i | −0.951119 | − | 0.308825i | \(-0.900064\pi\) |
−0.587622 | − | 0.809136i | \(-0.699936\pi\) | |||||||
\(8\) | 1.04100i | 0.368050i | ||||||||
\(9\) | 2.75814 | − | 1.18011i | 0.919381 | − | 0.393369i | ||||
\(10\) | −4.49113 | + | 1.51189i | −1.42022 | + | 0.478100i | ||||
\(11\) | 3.05198 | + | 1.29825i | 0.920205 | + | 0.391436i | ||||
\(12\) | −4.22705 | + | 0.866316i | −1.22024 | + | 0.250084i | ||||
\(13\) | 1.02337 | + | 0.743519i | 0.283831 | + | 0.206215i | 0.720587 | − | 0.693365i | \(-0.243873\pi\) |
−0.436756 | + | 0.899580i | \(0.643873\pi\) | |||||||
\(14\) | −6.26841 | + | 8.62773i | −1.67530 | + | 2.30586i | ||||
\(15\) | −1.94745 | − | 3.34775i | −0.502829 | − | 0.864386i | ||||
\(16\) | −2.77628 | −0.694071 | ||||||||
\(17\) | −1.21991 | − | 0.396374i | −0.295873 | − | 0.0961348i | 0.157319 | − | 0.987548i | \(-0.449715\pi\) |
−0.453192 | + | 0.891413i | \(0.649715\pi\) | |||||||
\(18\) | −2.50094 | − | 5.84519i | −0.589477 | − | 1.37772i | ||||
\(19\) | 3.25014i | 0.745633i | 0.927905 | + | 0.372817i | \(0.121608\pi\) | ||||
−0.927905 | + | 0.372817i | \(0.878392\pi\) | |||||||
\(20\) | 1.77725 | + | 5.27940i | 0.397405 | + | 1.18051i | ||||
\(21\) | −7.93640 | − | 3.60309i | −1.73186 | − | 0.786259i | ||||
\(22\) | 2.75131 | − | 6.46789i | 0.586580 | − | 1.37896i | ||||
\(23\) | 0.243965 | + | 0.750847i | 0.0508702 | + | 0.156562i | 0.973264 | − | 0.229687i | \(-0.0737703\pi\) |
−0.922394 | + | 0.386250i | \(0.873770\pi\) | |||||||
\(24\) | 0.362007 | + | 1.76636i | 0.0738944 | + | 0.360556i | ||||
\(25\) | −3.98210 | + | 3.02372i | −0.796421 | + | 0.604743i | ||||
\(26\) | 1.57570 | − | 2.16877i | 0.309021 | − | 0.425330i | ||||
\(27\) | 4.26959 | − | 2.96152i | 0.821682 | − | 0.569946i | ||||
\(28\) | 10.1420 | + | 7.36862i | 1.91667 | + | 1.39254i | ||||
\(29\) | 0.339242 | 0.0629956 | 0.0314978 | − | 0.999504i | \(-0.489972\pi\) | ||||
0.0314978 | + | 0.999504i | \(0.489972\pi\) | |||||||
\(30\) | −7.09472 | + | 4.12712i | −1.29531 | + | 0.753506i | ||||
\(31\) | 7.05670 | − | 5.12699i | 1.26742 | − | 0.920835i | 0.268323 | − | 0.963329i | \(-0.413530\pi\) |
0.999097 | + | 0.0424944i | \(0.0135305\pi\) | |||||||
\(32\) | 7.96564i | 1.40814i | ||||||||
\(33\) | 5.63000 | + | 1.14152i | 0.980058 | + | 0.198713i | ||||
\(34\) | −0.840015 | + | 2.58530i | −0.144061 | + | 0.443375i | ||||
\(35\) | −3.36393 | + | 10.7377i | −0.568608 | + | 1.81501i | ||||
\(36\) | −6.87112 | + | 2.93990i | −1.14519 | + | 0.489983i | ||||
\(37\) | 2.14684 | + | 2.95488i | 0.352939 | + | 0.485779i | 0.948165 | − | 0.317780i | \(-0.102937\pi\) |
−0.595225 | + | 0.803559i | \(0.702937\pi\) | |||||||
\(38\) | 6.88785 | 1.11736 | ||||||||
\(39\) | 1.99499 | + | 0.905716i | 0.319454 | + | 0.145031i | ||||
\(40\) | 2.20610 | − | 0.742658i | 0.348816 | − | 0.117425i | ||||
\(41\) | −0.721915 | − | 2.22182i | −0.112744 | − | 0.346991i | 0.878726 | − | 0.477327i | \(-0.158394\pi\) |
−0.991470 | + | 0.130336i | \(0.958394\pi\) | |||||||
\(42\) | −7.63585 | + | 16.8192i | −1.17824 | + | 2.59526i | ||||
\(43\) | −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 | ||||
\(45\) | −4.46857 | − | 5.00319i | −0.666135 | − | 0.745831i | ||||
\(46\) | 1.59123 | − | 0.517022i | 0.234614 | − | 0.0762308i | ||||
\(47\) | 3.64021 | − | 11.2034i | 0.530979 | − | 1.63418i | −0.221203 | − | 0.975228i | \(-0.570998\pi\) |
0.752181 | − | 0.658956i | \(-0.229002\pi\) | |||||||
\(48\) | −4.71075 | + | 0.965448i | −0.679938 | + | 0.139350i | ||||
\(49\) | 5.66209 | + | 17.4261i | 0.808870 | + | 2.48945i | ||||
\(50\) | 6.40800 | + | 8.43906i | 0.906229 | + | 1.19346i | ||||
\(51\) | −2.20777 | − | 0.248337i | −0.309149 | − | 0.0347742i | ||||
\(52\) | −2.54942 | − | 1.85226i | −0.353541 | − | 0.256863i | ||||
\(53\) | −3.16468 | − | 9.73989i | −0.434702 | − | 1.33788i | −0.893391 | − | 0.449279i | \(-0.851681\pi\) |
0.458689 | − | 0.888597i | \(-0.348319\pi\) | |||||||
\(54\) | −6.27621 | − | 9.04831i | −0.854083 | − | 1.23132i | ||||
\(55\) | 0.573957 | − | 7.39396i | 0.0773924 | − | 0.997001i | ||||
\(56\) | 3.07913 | − | 4.23805i | 0.411466 | − | 0.566334i | ||||
\(57\) | 1.13023 | + | 5.51478i | 0.149703 | + | 0.730450i | ||||
\(58\) | − | 0.718938i | − | 0.0944012i | ||||||
\(59\) | 2.29302 | + | 3.15606i | 0.298525 | + | 0.410885i | 0.931760 | − | 0.363075i | \(-0.118273\pi\) |
−0.633235 | + | 0.773960i | \(0.718273\pi\) | |||||||
\(60\) | 4.85151 | + | 8.33997i | 0.626327 | + | 1.07669i | ||||
\(61\) | −4.00161 | − | 5.50775i | −0.512354 | − | 0.705195i | 0.471960 | − | 0.881620i | \(-0.343547\pi\) |
−0.984314 | + | 0.176425i | \(0.943547\pi\) | |||||||
\(62\) | −10.8654 | − | 14.9549i | −1.37990 | − | 1.89927i | ||||
\(63\) | −14.7193 | − | 3.35380i | −1.85446 | − | 0.422538i | ||||
\(64\) | 11.3286 | 1.41608 | ||||||||
\(65\) | 0.845597 | − | 2.69916i | 0.104883 | − | 0.334790i | ||||
\(66\) | 2.41917 | − | 11.9314i | 0.297779 | − | 1.46865i | ||||
\(67\) | −4.52611 | + | 6.22966i | −0.552953 | + | 0.761074i | −0.990409 | − | 0.138166i | \(-0.955879\pi\) |
0.437457 | + | 0.899240i | \(0.355879\pi\) | |||||||
\(68\) | 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 | \(-0.840611\pi\) |
0.727653 | + | 0.685945i | \(0.240611\pi\) | |||||||
\(72\) | 1.22849 | + | 2.87123i | 0.144780 | + | 0.338378i | ||||
\(73\) | 1.21526 | − | 3.74019i | 0.142236 | − | 0.437756i | −0.854409 | − | 0.519600i | \(-0.826081\pi\) |
0.996645 | + | 0.0818438i | \(0.0260809\pi\) | |||||||
\(74\) | 6.26212 | − | 4.54970i | 0.727957 | − | 0.528891i | ||||
\(75\) | −5.70527 | + | 6.51536i | −0.658788 | + | 0.752329i | ||||
\(76\) | − | 8.09679i | − | 0.928766i | ||||||
\(77\) | −8.58497 | − | 14.3126i | −0.978348 | − | 1.63107i | ||||
\(78\) | 1.91944 | − | 4.22787i | 0.217334 | − | 0.478713i | ||||
\(79\) | −2.82110 | + | 0.916631i | −0.317399 | + | 0.103129i | −0.463384 | − | 0.886158i | \(-0.653365\pi\) |
0.145985 | + | 0.989287i | \(0.453365\pi\) | |||||||
\(80\) | 1.98062 | + | 5.88353i | 0.221440 | + | 0.657798i | ||||
\(81\) | 6.21470 | − | 6.50981i | 0.690522 | − | 0.723312i | ||||
\(82\) | −4.70860 | + | 1.52992i | −0.519978 | + | 0.168951i | ||||
\(83\) | −1.45544 | − | 0.472902i | −0.159756 | − | 0.0519077i | 0.228047 | − | 0.973650i | \(-0.426766\pi\) |
−0.387803 | + | 0.921742i | \(0.626766\pi\) | |||||||
\(84\) | 19.7713 | + | 8.97607i | 2.15722 | + | 0.979370i | ||||
\(85\) | 0.0302944 | + | 2.86803i | 0.00328588 | + | 0.311081i | ||||
\(86\) | 15.5956i | 1.68172i | ||||||||
\(87\) | 0.575620 | − | 0.117971i | 0.0617129 | − | 0.0126478i | ||||
\(88\) | −1.35148 | + | 3.17712i | −0.144068 | + | 0.338682i | ||||
\(89\) | −2.78752 | + | 0.905721i | −0.295477 | + | 0.0960062i | −0.453004 | − | 0.891508i | \(-0.649648\pi\) |
0.157527 | + | 0.987515i | \(0.449648\pi\) | |||||||
\(90\) | −10.6030 | + | 9.47001i | −1.11765 | + | 0.998227i | ||||
\(91\) | −1.96704 | − | 6.05392i | −0.206202 | − | 0.634623i | ||||
\(92\) | −0.607769 | − | 1.87052i | −0.0633643 | − | 0.195015i | ||||
\(93\) | 10.1908 | − | 11.1533i | 1.05673 | − | 1.15655i | ||||
\(94\) | −23.7428 | − | 7.71450i | −2.44888 | − | 0.795690i | ||||
\(95\) | 6.88773 | − | 2.31867i | 0.706666 | − | 0.237891i | ||||
\(96\) | 2.77004 | + | 13.5160i | 0.282716 | + | 1.37947i | ||||
\(97\) | 15.6153 | − | 5.07373i | 1.58550 | − | 0.515159i | 0.622031 | − | 0.782993i | \(-0.286308\pi\) |
0.963465 | + | 0.267834i | \(0.0863078\pi\) | |||||||
\(98\) | 36.9303 | − | 11.9994i | 3.73052 | − | 1.21212i | ||||
\(99\) | 9.94985 | − | 0.0209113i | 0.999998 | − | 0.00210166i | ||||
\(100\) | 9.92027 | − | 7.53272i | 0.992027 | − | 0.753272i | ||||
\(101\) | −0.0462410 | + | 0.142315i | −0.00460115 | + | 0.0141609i | −0.953331 | − | 0.301928i | \(-0.902370\pi\) |
0.948730 | + | 0.316089i | \(0.102370\pi\) | |||||||
\(102\) | −0.526289 | + | 4.67881i | −0.0521103 | + | 0.463271i | ||||
\(103\) | 7.69851i | 0.758557i | 0.925283 | + | 0.379279i | \(0.123828\pi\) | ||||
−0.925283 | + | 0.379279i | \(0.876172\pi\) | |||||||
\(104\) | −0.774006 | + | 1.06533i | −0.0758975 | + | 0.104464i | ||||
\(105\) | −1.97383 | + | 19.3894i | −0.192626 | + | 1.89221i | ||||
\(106\) | −20.6412 | + | 6.70675i | −2.00485 | + | 0.651417i | ||||
\(107\) | −9.18947 | − | 12.6482i | −0.888380 | − | 1.22275i | −0.974029 | − | 0.226424i | \(-0.927296\pi\) |
0.0856491 | − | 0.996325i | \(-0.472704\pi\) | |||||||
\(108\) | −10.6365 | + | 7.37779i | −1.02349 | + | 0.709928i | ||||
\(109\) | 15.0703 | + | 4.89665i | 1.44348 | + | 0.469014i | 0.922980 | − | 0.384849i | \(-0.125746\pi\) |
0.520498 | + | 0.853863i | \(0.325746\pi\) | |||||||
\(110\) | −15.6696 | − | 1.21636i | −1.49404 | − | 0.115975i | ||||
\(111\) | 4.67028 | + | 4.26722i | 0.443284 | + | 0.405027i | ||||
\(112\) | 11.3026 | + | 8.21182i | 1.06799 | + | 0.775944i | ||||
\(113\) | −4.71855 | − | 14.5222i | −0.443884 | − | 1.36613i | −0.883703 | − | 0.468047i | \(-0.844958\pi\) |
0.439820 | − | 0.898086i | \(-0.355042\pi\) | |||||||
\(114\) | 11.6872 | − | 2.39524i | 1.09461 | − | 0.224335i | ||||
\(115\) | 1.41716 | − | 1.05267i | 0.132150 | − | 0.0981621i | ||||
\(116\) | −0.845124 | −0.0784678 | ||||||||
\(117\) | 3.70002 | + | 0.843050i | 0.342067 | + | 0.0779400i | ||||
\(118\) | 6.68849 | − | 4.85947i | 0.615725 | − | 0.447350i | ||||
\(119\) | 3.79401 | + | 5.22200i | 0.347796 | + | 0.478700i | ||||
\(120\) | 3.48502 | − | 2.02730i | 0.318137 | − | 0.185066i | ||||
\(121\) | 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 | ||||
\(126\) | −7.10752 | + | 31.1939i | −0.633189 | + | 2.77897i | ||||
\(127\) | 7.97888 | − | 5.79700i | 0.708011 | − | 0.514400i | −0.174520 | − | 0.984654i | \(-0.555837\pi\) |
0.882531 | + | 0.470253i | \(0.155837\pi\) | |||||||
\(128\) | − | 8.07684i | − | 0.713899i | ||||||
\(129\) | −12.4867 | + | 2.55909i | −1.09939 | + | 0.225315i | ||||
\(130\) | −5.72019 | − | 1.79203i | −0.501694 | − | 0.157171i | ||||
\(131\) | 12.6981 | + | 9.22574i | 1.10944 | + | 0.806057i | 0.982576 | − | 0.185863i | \(-0.0595082\pi\) |
0.126866 | + | 0.991920i | \(0.459508\pi\) | |||||||
\(132\) | −14.0255 | − | 2.84377i | −1.22077 | − | 0.247519i | ||||
\(133\) | 9.61341 | − | 13.2317i | 0.833588 | − | 1.14734i | ||||
\(134\) | 13.2022 | + | 9.59196i | 1.14050 | + | 0.828619i | ||||
\(135\) | −9.32204 | − | 6.93538i | −0.802314 | − | 0.596903i | ||||
\(136\) | 0.412627 | − | 1.26993i | 0.0353824 | − | 0.108896i | ||||
\(137\) | 6.22548 | 0.531879 | 0.265939 | − | 0.963990i | \(-0.414318\pi\) | ||||
0.265939 | + | 0.963990i | \(0.414318\pi\) | |||||||
\(138\) | 2.52018 | − | 1.43062i | 0.214532 | − | 0.121783i | ||||
\(139\) | −7.55529 | − | 2.45486i | −0.640831 | − | 0.208219i | −0.0294642 | − | 0.999566i | \(-0.509380\pi\) |
−0.611367 | + | 0.791347i | \(0.709380\pi\) | |||||||
\(140\) | 8.38027 | − | 26.7499i | 0.708262 | − | 2.26078i | ||||
\(141\) | 2.28067 | − | 20.2756i | 0.192067 | − | 1.70751i | ||||
\(142\) | 3.67633 | + | 2.67101i | 0.308511 | + | 0.224146i | ||||
\(143\) | 2.15802 | + | 3.59778i | 0.180463 | + | 0.300862i | ||||
\(144\) | −7.65738 | + | 3.27631i | −0.638115 | + | 0.273026i | ||||
\(145\) | −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 | \(-0.156114\pi\) |
−0.990511 | + | 0.137436i | \(0.956114\pi\) | |||||||
\(150\) | 13.8077 | + | 12.0909i | 1.12739 | + | 0.987217i | ||||
\(151\) | −2.49628 | − | 3.43584i | −0.203145 | − | 0.279604i | 0.695274 | − | 0.718745i | \(-0.255283\pi\) |
−0.898418 | + | 0.439140i | \(0.855283\pi\) | |||||||
\(152\) | −3.38341 | −0.274430 | ||||||||
\(153\) | −3.83246 | + | 0.346373i | −0.309836 | + | 0.0280026i | ||||
\(154\) | −30.3319 | + | 18.1937i | −2.44422 | + | 1.46609i | ||||
\(155\) | −15.8995 | − | 11.2970i | −1.27708 | − | 0.907396i | ||||
\(156\) | −4.96994 | − | 2.25633i | −0.397914 | − | 0.180651i | ||||
\(157\) | 1.78230 | + | 2.45313i | 0.142243 | + | 0.195781i | 0.874194 | − | 0.485576i | \(-0.161390\pi\) |
−0.731951 | + | 0.681357i | \(0.761390\pi\) | |||||||
\(158\) | 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 | ||||
\(162\) | −13.7959 | − | 13.1705i | −1.08391 | − | 1.03477i | ||||
\(163\) | −4.16642 | + | 5.73459i | −0.326339 | + | 0.449168i | −0.940389 | − | 0.340099i | \(-0.889539\pi\) |
0.614050 | + | 0.789267i | \(0.289539\pi\) | |||||||
\(164\) | 1.79844 | + | 5.53504i | 0.140435 | + | 0.432214i | ||||
\(165\) | −1.59736 | − | 12.7455i | −0.124354 | − | 0.992238i | ||||
\(166\) | −1.00220 | + | 3.08444i | −0.0777855 | + | 0.239399i | ||||
\(167\) | 7.71008 | + | 10.6120i | 0.596624 | + | 0.821182i | 0.995394 | − | 0.0958687i | \(-0.0305629\pi\) |
−0.398770 | + | 0.917051i | \(0.630563\pi\) | |||||||
\(168\) | 3.75083 | − | 8.26182i | 0.289383 | − | 0.637413i | ||||
\(169\) | −3.52276 | − | 10.8419i | −0.270982 | − | 0.833996i | ||||
\(170\) | 6.07807 | − | 0.0642013i | 0.466166 | − | 0.00492401i | ||||
\(171\) | 3.83551 | + | 8.96435i | 0.293309 | + | 0.685521i | ||||
\(172\) | 18.3329 | 1.39787 | ||||||||
\(173\) | 6.98951 | − | 9.62024i | 0.531403 | − | 0.731413i | −0.455940 | − | 0.890010i | \(-0.650697\pi\) |
0.987343 | + | 0.158597i | \(0.0506970\pi\) | |||||||
\(174\) | −0.250009 | − | 1.21988i | −0.0189532 | − | 0.0924789i | ||||
\(175\) | 25.1553 | − | 0.531480i | 1.90156 | − | 0.0401761i | ||||
\(176\) | −8.47315 | − | 3.60430i | −0.638688 | − | 0.271684i | ||||
\(177\) | 4.98827 | + | 4.55776i | 0.374941 | + | 0.342582i | ||||
\(178\) | 1.91945 | + | 5.90745i | 0.143869 | + | 0.442782i | ||||
\(179\) | 16.2782 | + | 5.28910i | 1.21669 | + | 0.395326i | 0.845875 | − | 0.533382i | \(-0.179079\pi\) |
0.370813 | + | 0.928708i | \(0.379079\pi\) | |||||||
\(180\) | 11.1322 | + | 12.4640i | 0.829742 | + | 0.929012i | ||||
\(181\) | 4.61454 | − | 14.2021i | 0.342996 | − | 1.05563i | −0.619652 | − | 0.784877i | \(-0.712726\pi\) |
0.962648 | − | 0.270757i | \(-0.0872739\pi\) | |||||||
\(182\) | −12.8298 | + | 4.16864i | −0.951005 | + | 0.309000i | ||||
\(183\) | −8.70517 | − | 7.95389i | −0.643505 | − | 0.587969i | ||||
\(184\) | −0.781634 | + | 0.253968i | −0.0576228 | + | 0.0187228i | ||||
\(185\) | 4.73043 | − | 6.65764i | 0.347788 | − | 0.489480i | ||||
\(186\) | −23.6367 | − | 21.5968i | −1.73313 | − | 1.58355i | ||||
\(187\) | −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 | \(-0.246916\pi\) |
−0.886566 | + | 0.462603i | \(0.846916\pi\) | |||||||
\(192\) | 19.2222 | − | 3.93950i | 1.38724 | − | 0.284309i | ||||
\(193\) | 4.71497 | + | 14.5112i | 0.339391 | + | 1.04454i | 0.964519 | + | 0.264015i | \(0.0850468\pi\) |
−0.625128 | + | 0.780522i | \(0.714953\pi\) | |||||||
\(194\) | −10.7525 | − | 33.0928i | −0.771984 | − | 2.37592i | ||||
\(195\) | 0.496166 | − | 4.87394i | 0.0355312 | − | 0.349030i | ||||
\(196\) | −14.1055 | − | 43.4122i | −1.00753 | − | 3.10087i | ||||
\(197\) | −4.22156 | − | 5.81048i | −0.300774 | − | 0.413979i | 0.631703 | − | 0.775211i | \(-0.282356\pi\) |
−0.932476 | + | 0.361231i | \(0.882356\pi\) | |||||||
\(198\) | −0.0443162 | − | 21.0862i | −0.00314942 | − | 1.49853i | ||||
\(199\) | 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 | ||||
\(201\) | −5.51347 | + | 12.1443i | −0.388890 | + | 0.856595i | ||||
\(202\) | 0.301601 | + | 0.0979962i | 0.0212206 | + | 0.00689499i | ||||
\(203\) | −1.38110 | − | 1.00343i | −0.0969340 | − | 0.0704266i | ||||
\(204\) | 5.50002 | + | 0.618661i | 0.385078 | + | 0.0433150i | ||||
\(205\) | −4.19349 | + | 3.11495i | −0.292886 | + | 0.217558i | ||||
\(206\) | 16.3151 | 1.13672 | ||||||||
\(207\) | 1.55897 | + | 1.78304i | 0.108356 | + | 0.123930i | ||||
\(208\) | −2.84115 | − | 2.06422i | −0.196999 | − | 0.143128i | ||||
\(209\) | −4.21948 | + | 9.91935i | −0.291868 | + | 0.686136i | ||||
\(210\) | 41.0909 | + | 4.18304i | 2.83554 | + | 0.288657i | ||||
\(211\) | − | 23.0370i | − | 1.58593i | −0.609267 | − | 0.792965i | \(-0.708536\pi\) | ||
0.609267 | − | 0.792965i | \(-0.291464\pi\) | |||||||
\(212\) | 7.88390 | + | 24.2641i | 0.541468 | + | 1.66647i | ||||
\(213\) | −1.53530 | + | 3.38175i | −0.105197 | + | 0.231714i | ||||
\(214\) | −26.8047 | + | 19.4748i | −1.83233 | + | 1.33127i | ||||
\(215\) | 5.24997 | + | 15.5953i | 0.358045 | + | 1.06359i | ||||
\(216\) | 3.08296 | + | 4.44465i | 0.209769 | + | 0.302420i | ||||
\(217\) | −43.8935 | −2.97969 | ||||||||
\(218\) | 10.3772 | − | 31.9378i | 0.702834 | − | 2.16310i | ||||
\(219\) | 0.761390 | − | 6.76890i | 0.0514499 | − | 0.457400i | ||||
\(220\) | −1.42985 | + | 18.4199i | −0.0964004 | + | 1.24187i | ||||
\(221\) | −0.953707 | − | 1.31266i | −0.0641533 | − | 0.0882994i | ||||
\(222\) | 9.04331 | − | 9.89749i | 0.606947 | − | 0.664276i | ||||
\(223\) | −15.8111 | + | 21.7621i | −1.05879 | + | 1.45730i | −0.177854 | + | 0.984057i | \(0.556916\pi\) |
−0.880934 | + | 0.473240i | \(0.843084\pi\) | |||||||
\(224\) | 23.5611 | − | 32.4291i | 1.57424 | − | 2.16676i | ||||
\(225\) | −7.41490 | + | 13.0391i | −0.494327 | + | 0.869276i | ||||
\(226\) | −30.7761 | + | 9.99977i | −2.04720 | + | 0.665175i | ||||
\(227\) | −23.5648 | − | 7.65668i | −1.56405 | − | 0.508192i | −0.606166 | − | 0.795338i | \(-0.707293\pi\) |
−0.957887 | + | 0.287146i | \(0.907293\pi\) | |||||||
\(228\) | −2.81565 | − | 13.7385i | −0.186471 | − | 0.909854i | ||||
\(229\) | 7.91387 | + | 24.3564i | 0.522963 | + | 1.60952i | 0.768308 | + | 0.640080i | \(0.221099\pi\) |
−0.245345 | + | 0.969436i | \(0.578901\pi\) | |||||||
\(230\) | −2.23087 | − | 3.00331i | −0.147099 | − | 0.198032i | ||||
\(231\) | −19.5440 | − | 21.3000i | −1.28590 | − | 1.40143i | ||||
\(232\) | 0.353152i | 0.0231856i | ||||||||
\(233\) | 7.82006 | + | 10.7634i | 0.512309 | + | 0.705133i | 0.984307 | − | 0.176467i | \(-0.0564669\pi\) |
−0.471998 | + | 0.881600i | \(0.656467\pi\) | |||||||
\(234\) | 1.78663 | − | 7.84127i | 0.116796 | − | 0.512600i | ||||
\(235\) | −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 | \(-0.586779\pi\) |
−0.999137 | + | 0.0415245i | \(0.986779\pi\) | |||||||
\(240\) | 5.40666 | + | 9.29431i | 0.348999 | + | 0.599945i | ||||
\(241\) | −15.8560 | − | 5.15193i | −1.02138 | − | 0.331865i | −0.250000 | − | 0.968246i | \(-0.580431\pi\) |
−0.771375 | + | 0.636381i | \(0.780431\pi\) | |||||||
\(242\) | 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 | ||||
\(249\) | −2.63402 | − | 0.296284i | −0.166924 | − | 0.0187762i | ||||
\(250\) | 13.3126 | − | 19.6004i | 0.841965 | − | 1.23964i | ||||
\(251\) | −10.8130 | − | 3.51335i | −0.682510 | − | 0.221761i | −0.0528160 | − | 0.998604i | \(-0.516820\pi\) |
−0.629694 | + | 0.776843i | \(0.716820\pi\) | |||||||
\(252\) | 36.6690 | + | 8.35502i | 2.30993 | + | 0.526317i | ||||
\(253\) | −0.230209 | + | 2.60829i | −0.0144731 | + | 0.163982i | ||||
\(254\) | −12.2853 | − | 16.9092i | −0.770847 | − | 1.06098i | ||||
\(255\) | 1.04876 | + | 4.85589i | 0.0656756 | + | 0.304087i | ||||
\(256\) | 5.54037 | 0.346273 | ||||||||
\(257\) | 21.6018 | + | 15.6947i | 1.34749 | + | 0.979006i | 0.999133 | + | 0.0416423i | \(0.0132590\pi\) |
0.348353 | + | 0.937363i | \(0.386741\pi\) | |||||||
\(258\) | 5.42334 | + | 26.4623i | 0.337643 | + | 1.64747i | ||||
\(259\) | − | 18.3797i | − | 1.14206i | ||||||
\(260\) | −2.10656 | + | 6.72418i | −0.130644 | + | 0.417016i | ||||
\(261\) | 0.935677 | − | 0.400342i | 0.0579170 | − | 0.0247805i | ||||
\(262\) | 19.5516 | − | 26.9105i | 1.20790 | − | 1.66254i | ||||
\(263\) | 22.3677 | + | 7.26771i | 1.37925 | + | 0.448146i | 0.902423 | − | 0.430851i | \(-0.141786\pi\) |
0.476828 | + | 0.878997i | \(0.341786\pi\) | |||||||
\(264\) | −1.18833 | + | 5.86085i | −0.0731365 | + | 0.360710i | ||||
\(265\) | −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 | \(-0.372544\pi\) |
−0.225935 | + | 0.974142i | \(0.572544\pi\) | |||||||
\(270\) | −14.6978 | + | 19.7557i | −0.894479 | + | 1.20230i | ||||
\(271\) | 25.1337i | 1.52676i | 0.645948 | + | 0.763382i | \(0.276462\pi\) | ||||
−0.645948 | + | 0.763382i | \(0.723538\pi\) | |||||||
\(272\) | 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 | 0.719746 | + | 0.694238i | \(0.244258\pi\) |
−0.990349 | + | 0.138594i | \(0.955742\pi\) | |||||||
\(282\) | −42.9691 | − | 4.83331i | −2.55877 | − | 0.287820i | ||||
\(283\) | 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 | ||||
\(285\) | 10.8807 | − | 6.32948i | 0.644515 | − | 0.374926i | ||||
\(286\) | 7.62460 | − | 4.57338i | 0.450852 | − | 0.270429i | ||||
\(287\) | −3.63281 | + | 11.1806i | −0.214438 | + | 0.659972i | ||||
\(288\) | 9.40031 | + | 21.9704i | 0.553918 | + | 1.29462i | ||||
\(289\) | −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 | \(-0.926959\pi\) |
0.517240 | + | 0.855840i | \(0.326959\pi\) | |||||||
\(294\) | 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 | ||||
\(297\) | 16.8755 | − | 3.49553i | 0.979214 | − | 0.202831i | ||||
\(298\) | −8.62938 | + | 2.80385i | −0.499886 | + | 0.162423i | ||||
\(299\) | −0.308603 | + | 0.949784i | −0.0178470 | + | 0.0549274i | ||||
\(300\) | 14.2130 | − | 16.2311i | 0.820591 | − | 0.937106i | ||||
\(301\) | 29.9595 | + | 21.7669i | 1.72684 | + | 1.25462i | ||||
\(302\) | −7.28139 | + | 5.29024i | −0.418997 | + | 0.304419i | ||||
\(303\) | −0.0289711 | + | 0.257558i | −0.00166434 | + | 0.0147963i | ||||
\(304\) | − | 9.02331i | − | 0.517522i | ||||||
\(305\) | −8.81730 | + | 12.4095i | −0.504877 | + | 0.710567i | ||||
\(306\) | 0.734050 | + | 8.12193i | 0.0419629 | + | 0.464300i | ||||
\(307\) | 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 | ||||
\(309\) | 2.67715 | + | 13.0627i | 0.152298 | + | 0.743111i | ||||
\(310\) | −23.9411 | + | 33.6949i | −1.35977 | + | 1.91374i | ||||
\(311\) | −10.0235 | + | 13.7962i | −0.568382 | + | 0.782310i | −0.992362 | − | 0.123361i | \(-0.960633\pi\) |
0.423980 | + | 0.905671i | \(0.360633\pi\) | |||||||
\(312\) | −0.942853 | + | 2.07679i | −0.0533786 | + | 0.117575i | ||||
\(313\) | 0.905791i | 0.0511983i | 0.999672 | + | 0.0255992i | \(0.00814936\pi\) | ||||
−0.999672 | + | 0.0255992i | \(0.991851\pi\) | |||||||
\(314\) | 5.19878 | − | 3.77714i | 0.293384 | − | 0.213156i | ||||
\(315\) | 3.39346 | + | 33.5859i | 0.191200 | + | 1.89235i | ||||
\(316\) | 7.02796 | − | 2.28352i | 0.395354 | − | 0.128458i | ||||
\(317\) | 8.84756 | − | 6.42813i | 0.496928 | − | 0.361039i | −0.310914 | − | 0.950438i | \(-0.600635\pi\) |
0.807842 | + | 0.589398i | \(0.200635\pi\) | |||||||
\(318\) | −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 | ||||
\(321\) | −19.9909 | − | 18.2657i | −1.11579 | − | 1.01949i | ||||
\(322\) | −8.00737 | − | 2.60175i | −0.446233 | − | 0.144990i | ||||
\(323\) | 1.28827 | − | 3.96489i | 0.0716813 | − | 0.220612i | ||||
\(324\) | −15.4821 | + | 16.2173i | −0.860118 | + | 0.900962i | ||||
\(325\) | −6.32334 | + | 0.133599i | −0.350756 | + | 0.00741074i | ||||
\(326\) | 12.1530 | + | 8.82968i | 0.673093 | + | 0.489031i | ||||
\(327\) | 27.2739 | + | 3.06786i | 1.50825 | + | 0.169653i | ||||
\(328\) | 2.31293 | − | 0.751515i | 0.127710 | − | 0.0414955i | ||||
\(329\) | −47.9577 | + | 34.8433i | −2.64399 | + | 1.92097i | ||||
\(330\) | −27.0109 | + | 3.38519i | −1.48690 | + | 0.186349i | ||||
\(331\) | 21.5459 | + | 15.6540i | 1.18427 | + | 0.860421i | 0.992647 | − | 0.121048i | \(-0.0386255\pi\) |
0.191621 | + | 0.981469i | \(0.438625\pi\) | |||||||
\(332\) | 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 | ||||
\(336\) | 22.0337 | + | 10.0032i | 1.20204 | + | 0.545720i | ||||
\(337\) | 6.83356 | − | 4.96487i | 0.372248 | − | 0.270454i | −0.385895 | − | 0.922543i | \(-0.626107\pi\) |
0.758142 | + | 0.652089i | \(0.226107\pi\) | |||||||
\(338\) | −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 | ||||
\(342\) | 18.9977 | − | 8.12840i | 1.02728 | − | 0.439534i | ||||
\(343\) | 17.6075 | − | 54.1903i | 0.950715 | − | 2.92600i | ||||
\(344\) | − | 7.66077i | − | 0.413041i | ||||||
\(345\) | 2.03854 | − | 2.27897i | 0.109751 | − | 0.122696i | ||||
\(346\) | −20.3877 | − | 14.8125i | −1.09605 | − | 0.796326i | ||||
\(347\) | −5.58715 | + | 7.69006i | −0.299934 | + | 0.412824i | −0.932209 | − | 0.361920i | \(-0.882121\pi\) |
0.632275 | + | 0.774744i | \(0.282121\pi\) | |||||||
\(348\) | −1.43399 | + | 0.293891i | −0.0768700 | + | 0.0157542i | ||||
\(349\) | 1.86993 | + | 2.57374i | 0.100095 | + | 0.137769i | 0.856127 | − | 0.516766i | \(-0.172864\pi\) |
−0.756031 | + | 0.654535i | \(0.772864\pi\) | |||||||
\(350\) | −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 | \(-0.699631\pi\) |
0.588722 | + | 0.808336i | \(0.299631\pi\) | |||||||
\(354\) | 9.65903 | − | 10.5714i | 0.513372 | − | 0.561862i | ||||
\(355\) | 4.57541 | + | 1.43339i | 0.242837 | + | 0.0760765i | ||||
\(356\) | 6.94431 | − | 2.25634i | 0.368048 | − | 0.119586i | ||||
\(357\) | 8.25355 | + | 7.54125i | 0.436824 | + | 0.399125i | ||||
\(358\) | 11.2089 | − | 34.4975i | 0.592409 | − | 1.82325i | ||||
\(359\) | −13.2361 | + | 9.61660i | −0.698576 | + | 0.507545i | −0.879468 | − | 0.475958i | \(-0.842101\pi\) |
0.180892 | + | 0.983503i | \(0.442101\pi\) | |||||||
\(360\) | 5.20833 | − | 4.65180i | 0.274503 | − | 0.245171i | ||||
\(361\) | 8.43659 | 0.444031 | ||||||||
\(362\) | −30.0978 | − | 9.77936i | −1.58190 | − | 0.513992i | ||||
\(363\) | 15.7007 | + | 10.7930i | 0.824071 | + | 0.566487i | ||||
\(364\) | 4.90031 | + | 15.0816i | 0.256846 | + | 0.790491i | ||||
\(365\) | −8.79323 | + | 0.0928810i | −0.460259 | + | 0.00486161i | ||||
\(366\) | −16.8563 | + | 18.4484i | −0.881092 | + | 0.964315i | ||||
\(367\) | 9.28098 | − | 3.01557i | 0.484463 | − | 0.157412i | −0.0565942 | − | 0.998397i | \(-0.518024\pi\) |
0.541057 | + | 0.840986i | \(0.318024\pi\) | |||||||
\(368\) | −0.677316 | − | 2.08456i | −0.0353075 | − | 0.108665i | ||||
\(369\) | −4.61313 | − | 5.27617i | −0.240150 | − | 0.274667i | ||||
\(370\) | −14.1092 | − | 10.0250i | −0.733502 | − | 0.521173i | ||||
\(371\) | −15.9253 | + | 49.0129i | −0.826799 | + | 2.54463i | ||||
\(372\) | −25.3874 | + | 27.7854i | −1.31628 | + | 1.44060i | ||||
\(373\) | 4.88230 | + | 15.0262i | 0.252796 | + | 0.778026i | 0.994256 | + | 0.107029i | \(0.0341337\pi\) |
−0.741460 | + | 0.670997i | \(0.765866\pi\) | |||||||
\(374\) | −5.92006 | + | 6.79973i | −0.306119 | + | 0.351606i | ||||
\(375\) | 17.8776 | + | 7.44257i | 0.923195 | + | 0.384333i | ||||
\(376\) | 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 | 0.461994 | − | 0.886883i | \(-0.347134\pi\) |
−0.700712 | + | 0.713445i | \(0.747134\pi\) | |||||||
\(380\) | −17.1588 | + | 5.77630i | −0.880228 | + | 0.296318i | ||||
\(381\) | 11.5225 | − | 12.6109i | 0.590317 | − | 0.646075i | ||||
\(382\) | −6.95952 | + | 5.05639i | −0.356080 | + | 0.258707i | ||||
\(383\) | −15.9965 | + | 11.6221i | −0.817383 | + | 0.593863i | −0.915962 | − | 0.401266i | \(-0.868570\pi\) |
0.0985789 | + | 0.995129i | \(0.468570\pi\) | |||||||
\(384\) | −2.80871 | − | 13.7046i | −0.143331 | − | 0.699362i | ||||
\(385\) | −24.2068 | + | 28.4040i | −1.23369 | + | 1.44760i | ||||
\(386\) | 30.7528 | − | 9.99218i | 1.56528 | − | 0.508589i | ||||
\(387\) | −20.2972 | + | 8.68443i | −1.03177 | + | 0.441455i | ||||
\(388\) | −38.9011 | + | 12.6397i | −1.97490 | + | 0.641685i | ||||
\(389\) | −27.4920 | − | 8.93268i | −1.39390 | − | 0.452905i | −0.486685 | − | 0.873577i | \(-0.661794\pi\) |
−0.907213 | + | 0.420672i | \(0.861794\pi\) | |||||||
\(390\) | −10.3291 | − | 1.05150i | −0.523034 | − | 0.0532447i | ||||
\(391\) | − | 1.01267i | − | 0.0512129i | ||||||
\(392\) | −18.1406 | + | 5.89425i | −0.916241 | + | 0.297705i | ||||
\(393\) | 24.7542 | + | 11.2383i | 1.24869 | + | 0.566898i | ||||
\(394\) | −12.3138 | + | 8.94653i | −0.620363 | + | 0.450720i | ||||
\(395\) | 3.95512 | + | 5.32457i | 0.199004 | + | 0.267908i | ||||
\(396\) | −24.7872 | + | 0.0520945i | −1.24560 | + | 0.00261785i | ||||
\(397\) | −15.2683 | − | 21.0150i | −0.766292 | − | 1.05471i | −0.996664 | − | 0.0816082i | \(-0.973994\pi\) |
0.230372 | − | 0.973103i | \(-0.426006\pi\) | |||||||
\(398\) | − | 27.6625i | − | 1.38660i | ||||||
\(399\) | 11.7106 | − | 25.7944i | 0.586261 | − | 1.29134i | ||||
\(400\) | 11.0554 | − | 8.39469i | 0.552772 | − | 0.419734i | ||||
\(401\) | 33.1794 | − | 10.7807i | 1.65690 | − | 0.538360i | 0.676683 | − | 0.736275i | \(-0.263417\pi\) |
0.980219 | + | 0.197915i | \(0.0634169\pi\) | |||||||
\(402\) | 25.7368 | + | 11.6844i | 1.28364 | + | 0.582766i | ||||
\(403\) | 11.0336 | 0.549623 | ||||||||
\(404\) | 0.115196 | − | 0.354538i | 0.00573123 | − | 0.0176389i | ||||
\(405\) | −18.2292 | − | 8.52611i | −0.905819 | − | 0.423666i | ||||
\(406\) | −2.12651 | + | 2.92689i | −0.105537 | + | 0.145259i | ||||
\(407\) | 2.71596 | + | 11.8053i | 0.134625 | + | 0.585169i | ||||
\(408\) | 0.258520 | − | 2.29829i | 0.0127986 | − | 0.113782i | ||||
\(409\) | 0.171494 | − | 0.236041i | 0.00847984 | − | 0.0116715i | −0.804756 | − | 0.593606i | \(-0.797704\pi\) |
0.813236 | + | 0.581934i | \(0.197704\pi\) | |||||||
\(410\) | 6.60136 | + | 8.88706i | 0.326018 | + | 0.438900i | ||||
\(411\) | 10.5633 | − | 2.16490i | 0.521049 | − | 0.106787i | ||||
\(412\) | − | 19.1786i | − | 0.944864i | ||||||
\(413\) | − | 19.6311i | − | 0.965984i | ||||||
\(414\) | 3.77870 | − | 3.30384i | 0.185713 | − | 0.162375i | ||||
\(415\) | 0.0361433 | + | 3.42176i | 0.00177420 | + | 0.167968i | ||||
\(416\) | −5.92260 | + | 8.15177i | −0.290380 | + | 0.399673i | ||||
\(417\) | −13.6734 | − | 1.53803i | −0.669587 | − | 0.0753175i | ||||
\(418\) | 21.0216 | + | 8.94213i | 1.02820 | + | 0.437374i | ||||
\(419\) | −21.0112 | + | 28.9194i | −1.02646 | + | 1.41280i | −0.118891 | + | 0.992907i | \(0.537934\pi\) |
−0.907572 | + | 0.419897i | \(0.862066\pi\) | |||||||
\(420\) | 4.91724 | − | 48.3031i | 0.239937 | − | 2.35695i | ||||
\(421\) | 4.20310 | − | 12.9358i | 0.204847 | − | 0.630453i | −0.794873 | − | 0.606776i | \(-0.792463\pi\) |
0.999720 | − | 0.0236773i | \(-0.00753743\pi\) | |||||||
\(422\) | −48.8211 | −2.37657 | ||||||||
\(423\) | −3.18101 | − | 35.1964i | −0.154666 | − | 1.71131i | ||||
\(424\) | 10.1393 | − | 3.29444i | 0.492406 | − | 0.159992i | ||||
\(425\) | 6.05634 | − | 2.11027i | 0.293776 | − | 0.102363i | ||||
\(426\) | 7.16677 | + | 3.25368i | 0.347231 | + | 0.157641i | ||||
\(427\) | 34.2589i | 1.65790i | ||||||||
\(428\) | 22.8929 | + | 31.5094i | 1.10657 | + | 1.52307i | ||||
\(429\) | 4.91281 | + | 5.35421i | 0.237193 | + | 0.258504i | ||||
\(430\) | 33.0503 | − | 11.1260i | 1.59383 | − | 0.536543i | ||||
\(431\) | 7.07319 | − | 5.13897i | 0.340703 | − | 0.247536i | −0.404255 | − | 0.914646i | \(-0.632469\pi\) |
0.744959 | + | 0.667111i | \(0.232469\pi\) | |||||||
\(432\) | −11.8536 | + | 8.22203i | −0.570306 | + | 0.395583i | ||||
\(433\) | −11.3903 | + | 3.70094i | −0.547384 | + | 0.177856i | −0.569637 | − | 0.821897i | \(-0.692916\pi\) |
0.0222529 | + | 0.999752i | \(0.492916\pi\) | |||||||
\(434\) | 93.0213i | 4.46517i | ||||||||
\(435\) | −0.660656 | − | 1.13570i | −0.0316760 | − | 0.0544526i | ||||
\(436\) | −37.5434 | − | 12.1986i | −1.79801 | − | 0.584207i | ||||
\(437\) | −2.44036 | + | 0.792920i | −0.116738 | + | 0.0379305i | ||||
\(438\) | −14.3450 | − | 1.61357i | −0.685430 | − | 0.0770995i | ||||
\(439\) | −15.1361 | + | 4.91802i | −0.722407 | + | 0.234724i | −0.647066 | − | 0.762434i | \(-0.724004\pi\) |
−0.0753404 | + | 0.997158i | \(0.524004\pi\) | |||||||
\(440\) | 7.69713 | + | 0.597491i | 0.366946 | + | 0.0284843i | ||||
\(441\) | 36.1815 | + | 41.3819i | 1.72293 | + | 1.97056i | ||||
\(442\) | −2.78186 | + | 2.02114i | −0.132320 | + | 0.0961359i | ||||
\(443\) | −29.6541 | + | 21.5450i | −1.40891 | + | 1.02363i | −0.415428 | + | 0.909626i | \(0.636368\pi\) |
−0.993480 | + | 0.114006i | \(0.963632\pi\) | |||||||
\(444\) | −11.6347 | − | 10.6306i | −0.552157 | − | 0.504504i | ||||
\(445\) | 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 | \(-0.391324\pi\) |
−0.282984 | + | 0.959125i | \(0.591324\pi\) | |||||||
\(450\) | 27.6332 | + | 15.7140i | 1.30264 | + | 0.740765i | ||||
\(451\) | 0.681209 | − | 7.71818i | 0.0320769 | − | 0.363435i | ||||
\(452\) | 11.7549 | + | 36.1779i | 0.552904 | + | 1.70166i | ||||
\(453\) | −5.43045 | − | 4.96179i | −0.255145 | − | 0.233125i | ||||
\(454\) | −16.2264 | + | 49.9397i | −0.761543 | + | 2.34379i | ||||
\(455\) | −11.4262 | + | 8.48747i | −0.535670 | + | 0.397899i | ||||
\(456\) | −5.74090 | + | 1.17657i | −0.268842 | + | 0.0550981i | ||||
\(457\) | 11.0596 | + | 34.0380i | 0.517347 | + | 1.59223i | 0.778971 | + | 0.627060i | \(0.215742\pi\) |
−0.261624 | + | 0.965170i | \(0.584258\pi\) | |||||||
\(458\) | 51.6172 | − | 16.7715i | 2.41192 | − | 0.783679i | ||||
\(459\) | −6.38240 | + | 1.92045i | −0.297905 | + | 0.0896390i | ||||
\(460\) | −3.53044 | + | 2.62243i | −0.164608 | + | 0.122271i | ||||
\(461\) | −0.349247 | − | 1.07487i | −0.0162660 | − | 0.0500617i | 0.942594 | − | 0.333941i | \(-0.108379\pi\) |
−0.958860 | + | 0.283879i | \(0.908379\pi\) | |||||||
\(462\) | −45.1399 | + | 41.4186i | −2.10010 | + | 1.92697i | ||||
\(463\) | 25.1012 | + | 8.15588i | 1.16655 | + | 0.379036i | 0.827355 | − | 0.561679i | \(-0.189844\pi\) |
0.339198 | + | 0.940715i | \(0.389844\pi\) | |||||||
\(464\) | −0.941831 | −0.0437234 | ||||||||
\(465\) | −30.9064 | − | 13.6395i | −1.43325 | − | 0.632518i | ||||
\(466\) | 22.8103 | − | 16.5726i | 1.05667 | − | 0.767713i | ||||
\(467\) | 0.0210667 | − | 0.0648368i | 0.000974853 | − | 0.00300029i | −0.950568 | − | 0.310517i | \(-0.899498\pi\) |
0.951543 | + | 0.307516i | \(0.0994979\pi\) | |||||||
\(468\) | −9.21754 | − | 2.10022i | −0.426081 | − | 0.0970826i | ||||
\(469\) | 36.8527 | − | 11.9742i | 1.70170 | − | 0.552916i | ||||
\(470\) | 0.589610 | + | 55.8195i | 0.0271967 | + | 2.57476i | ||||
\(471\) | 3.87725 | + | 3.54263i | 0.178654 | + | 0.163236i | ||||
\(472\) | −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 | ||||
\(477\) | −20.2227 | − | 23.1293i | −0.925936 | − | 1.05902i | ||||
\(478\) | −30.1923 | + | 41.5562i | −1.38097 | + | 1.90074i | ||||
\(479\) | −15.1456 | − | 11.0039i | −0.692020 | − | 0.502782i | 0.185304 | − | 0.982681i | \(-0.440673\pi\) |
−0.877323 | + | 0.479900i | \(0.840673\pi\) | |||||||
\(480\) | 26.6670 | − | 15.5127i | 1.21718 | − | 0.708053i | ||||
\(481\) | 4.62014i | 0.210660i | ||||||||
\(482\) | −10.9182 | + | 33.6028i | −0.497311 | + | 1.53057i | ||||
\(483\) | 0.769168 | − | 6.83805i | 0.0349984 | − | 0.311142i | ||||
\(484\) | −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 | −0.481931 | − | 0.876209i | \(-0.660064\pi\) |
0.125133 | + | 0.992140i | \(0.460064\pi\) | |||||||
\(488\) | 5.73358 | − | 4.16569i | 0.259547 | − | 0.188572i | ||||
\(489\) | −5.07532 | + | 11.1792i | −0.229514 | + | 0.505542i | ||||
\(490\) | −51.7755 | − | 69.7026i | −2.33898 | − | 3.14884i | ||||
\(491\) | 5.38185 | − | 3.91014i | 0.242879 | − | 0.176462i | −0.459686 | − | 0.888082i | \(-0.652038\pi\) |
0.702565 | + | 0.711619i | \(0.252038\pi\) | |||||||
\(492\) | 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 | ||||
\(495\) | −7.14260 | − | 21.0709i | −0.321036 | − | 0.947067i | ||||
\(496\) | −19.5914 | + | 14.2340i | −0.879679 | + | 0.639124i | ||||
\(497\) | 10.2621 | − | 3.33437i | 0.460320 | − | 0.149567i | ||||
\(498\) | −0.627899 | + | 5.58214i | −0.0281368 | + | 0.250142i | ||||
\(499\) | −12.8170 | − | 9.31210i | −0.573768 | − | 0.416867i | 0.262704 | − | 0.964876i | \(-0.415386\pi\) |
−0.836472 | + | 0.548010i | \(0.815386\pi\) | |||||||
\(500\) | −23.0406 | − | 15.6492i | −1.03041 | − | 0.699855i | ||||
\(501\) | 16.7726 | + | 15.3251i | 0.749346 | + | 0.684675i | ||||
\(502\) | −7.44567 | + | 22.9154i | −0.332316 | + | 1.02276i | ||||
\(503\) | 13.1023 | + | 4.25719i | 0.584202 | + | 0.189819i | 0.586182 | − | 0.810179i | \(-0.300630\pi\) |
−0.00198025 | + | 0.999998i | \(0.500630\pi\) | |||||||
\(504\) | 3.49131 | − | 15.3229i | 0.155515 | − | 0.682534i | ||||
\(505\) | 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 | \(-0.712872\pi\) |
−0.0404288 | + | 0.999182i | \(0.512872\pi\) | |||||||
\(510\) | 10.2908 | − | 2.22257i | 0.455686 | − | 0.0984172i | ||||
\(511\) | −16.0104 | + | 11.6322i | −0.708258 | + | 0.514580i | ||||
\(512\) | − | 27.8951i | − | 1.23280i | ||||||
\(513\) | 9.62537 | + | 13.8768i | 0.424970 | + | 0.612674i | ||||
\(514\) | 33.2609 | − | 45.7797i | 1.46707 | − | 2.01925i | ||||
\(515\) | 16.3148 | − | 5.49217i | 0.718914 | − | 0.242014i | ||||
\(516\) | 31.1069 | − | 6.37524i | 1.36941 | − | 0.280654i | ||||
\(517\) | 25.6546 | − | 29.4666i | 1.12829 | − | 1.29594i | ||||
\(518\) | −38.9512 | −1.71142 | ||||||||
\(519\) | 8.51426 | − | 18.7541i | 0.373735 | − | 0.823211i | ||||
\(520\) | 2.80983 | + | 0.880269i | 0.123219 | + | 0.0386024i | ||||
\(521\) | 36.7712i | 1.61098i | 0.592612 | + | 0.805488i | \(0.298097\pi\) | ||||
−0.592612 | + | 0.805488i | \(0.701903\pi\) | |||||||
\(522\) | −0.848424 | − | 1.98293i | −0.0371345 | − | 0.0867906i | ||||
\(523\) | 1.31491 | − | 0.955335i | 0.0574968 | − | 0.0417739i | −0.558666 | − | 0.829393i | \(-0.688686\pi\) |
0.616162 | + | 0.787619i | \(0.288686\pi\) | |||||||
\(524\) | −31.6338 | − | 22.9833i | −1.38193 | − | 1.00403i | ||||
\(525\) | 42.4983 | − | 9.64953i | 1.85478 | − | 0.421140i | ||||
\(526\) | 15.4021 | − | 47.4027i | 0.671562 | − | 2.06686i | ||||
\(527\) | −10.6408 | + | 3.45739i | −0.463519 | + | 0.150606i | ||||
\(528\) | −15.6305 | − | 3.16919i | −0.680229 | − | 0.137921i | ||||
\(529\) | 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 | ||||
\(537\) | 29.4598 | + | 3.31374i | 1.27128 | + | 0.142999i | ||||
\(538\) | 1.85065 | − | 5.69572i | 0.0797872 | − | 0.245560i | ||||
\(539\) | −5.34283 | + | 60.5349i | −0.230132 | + | 2.60742i | ||||
\(540\) | 23.2232 | + | 17.2775i | 0.999367 | + | 0.743506i | ||||
\(541\) | −5.63811 | + | 7.76019i | −0.242401 | + | 0.333636i | −0.912832 | − | 0.408336i | \(-0.866109\pi\) |
0.670431 | + | 0.741972i | \(0.266109\pi\) | |||||||
\(542\) | 53.2646 | 2.28791 | ||||||||
\(543\) | 2.89112 | − | 25.7026i | 0.124070 | − | 1.10300i | ||||
\(544\) | 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 | 0.804753 | + | 0.593610i | \(0.202298\pi\) |
−0.999974 | + | 0.00721810i | \(0.997702\pi\) | |||||||
\(548\) | −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 | ||||||
\(555\) | 5.71133 | − | 12.9416i | 0.242433 | − | 0.549339i | ||||
\(556\) | 18.8218 | + | 6.11559i | 0.798224 | + | 0.259359i | ||||
\(557\) | 22.0234 | − | 30.3126i | 0.933161 | − | 1.28439i | −0.0254530 | − | 0.999676i | \(-0.508103\pi\) |
0.958614 | − | 0.284710i | \(-0.0918972\pi\) | |||||||
\(558\) | −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 | ||||
\(561\) | −6.41565 | − | 3.62414i | −0.270869 | − | 0.153011i | ||||
\(562\) | 29.5864 | + | 9.61321i | 1.24803 | + | 0.405509i | ||||
\(563\) | −2.21411 | + | 3.04747i | −0.0933138 | + | 0.128435i | −0.853121 | − | 0.521713i | \(-0.825293\pi\) |
0.759807 | + | 0.650148i | \(0.225293\pi\) | |||||||
\(564\) | −5.68164 | + | 50.5109i | −0.239240 | + | 2.12689i | ||||
\(565\) | −27.4093 | + | 20.3598i | −1.15312 | + | 0.856544i | ||||
\(566\) | − | 14.7423i | − | 0.619666i | ||||||
\(567\) | −44.5558 | + | 8.12012i | −1.87117 | + | 0.341013i | ||||
\(568\) | −1.80586 | − | 1.31203i | −0.0757722 | − | 0.0550518i | ||||
\(569\) | 38.0237 | 1.59404 | 0.797019 | − | 0.603954i | \(-0.206409\pi\) | ||||
0.797019 | + | 0.603954i | \(0.206409\pi\) | |||||||
\(570\) | −13.4137 | − | 23.0588i | −0.561839 | − | 0.965828i | ||||
\(571\) | 1.70531 | + | 2.34715i | 0.0713649 | + | 0.0982253i | 0.843207 | − | 0.537589i | \(-0.180665\pi\) |
−0.771842 | + | 0.635814i | \(0.780665\pi\) | |||||||
\(572\) | −5.37609 | − | 8.96285i | −0.224785 | − | 0.374755i | ||||
\(573\) | −5.19040 | − | 4.74246i | −0.216832 | − | 0.198119i | ||||
\(574\) | 23.6945 | + | 7.69883i | 0.988991 | + | 0.321343i | ||||
\(575\) | −3.24184 | − | 2.25227i | −0.135194 | − | 0.0939261i | ||||
\(576\) | 31.2459 | − | 13.3690i | 1.30191 | − | 0.557040i | ||||
\(577\) | 0.119441 | + | 0.164397i | 0.00497241 | + | 0.00684393i | 0.811496 | − | 0.584358i | \(-0.198654\pi\) |
−0.806524 | + | 0.591202i | \(0.798654\pi\) | |||||||
\(578\) | −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 | ||||
\(585\) | −0.853019 | − | 8.44256i | −0.0352680 | − | 0.349057i | ||||
\(586\) | 22.7951 | + | 16.5616i | 0.941657 | + | 0.684154i | ||||
\(587\) | 12.1636 | − | 8.83736i | 0.502045 | − | 0.364757i | −0.307753 | − | 0.951466i | \(-0.599577\pi\) |
0.809797 | + | 0.586710i | \(0.199577\pi\) | |||||||
\(588\) | −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 | ||||
\(591\) | −9.18365 | − | 8.39108i | −0.377765 | − | 0.345163i | ||||
\(592\) | −5.96025 | − | 8.20358i | −0.244965 | − | 0.337165i | ||||
\(593\) | − | 6.97966i | − | 0.286620i | −0.989678 | − | 0.143310i | \(-0.954225\pi\) | ||
0.989678 | − | 0.143310i | \(-0.0457746\pi\) | |||||||
\(594\) | −7.40789 | − | 35.7633i | −0.303949 | − | 1.46739i | ||||
\(595\) | 8.35985 | − | 11.7657i | 0.342721 | − | 0.482347i | ||||
\(596\) | 3.29598 | + | 10.1440i | 0.135009 | + | 0.415514i | ||||
\(597\) | 22.1481 | − | 4.53916i | 0.906462 | − | 0.185775i | ||||
\(598\) | 2.01283 | + | 0.654007i | 0.0823107 | + | 0.0267444i | ||||
\(599\) | 11.2452 | − | 3.65377i | 0.459465 | − | 0.149289i | −0.0701338 | − | 0.997538i | \(-0.522343\pi\) |
0.529598 | + | 0.848249i | \(0.322343\pi\) | |||||||
\(600\) | −6.78251 | − | 5.93920i | −0.276895 | − | 0.242467i | ||||
\(601\) | 20.0070 | − | 27.5372i | 0.816101 | − | 1.12327i | −0.174252 | − | 0.984701i | \(-0.555751\pi\) |
0.990353 | − | 0.138566i | \(-0.0442492\pi\) | |||||||
\(602\) | 46.1294 | − | 63.4916i | 1.88009 | − | 2.58773i | ||||
\(603\) | −5.13200 | + | 22.5236i | −0.208991 | + | 0.917231i | ||||
\(604\) | 6.21877 | + | 8.55940i | 0.253038 | + | 0.348277i | ||||
\(605\) | 11.3509 | − | 21.8210i | 0.461479 | − | 0.887151i | ||||
\(606\) | 0.545830 | + | 0.0613969i | 0.0221728 | + | 0.00249408i | ||||
\(607\) | −5.33284 | + | 16.4128i | −0.216453 | + | 0.666175i | 0.782594 | + | 0.622533i | \(0.213896\pi\) |
−0.999047 | + | 0.0436423i | \(0.986104\pi\) | |||||||
\(608\) | −25.8894 | −1.04996 | ||||||||
\(609\) | −2.69236 | − | 1.22232i | −0.109100 | − | 0.0495309i | ||||
\(610\) | 26.2988 | + | 18.6860i | 1.06481 | + | 0.756576i | ||||
\(611\) | 12.0552 | − | 8.75862i | 0.487702 | − | 0.354336i | ||||
\(612\) | 9.54747 | − | 0.862889i | 0.385934 | − | 0.0348802i | ||||
\(613\) | −10.6407 | − | 32.7488i | −0.429774 | − | 1.32271i | −0.898348 | − | 0.439285i | \(-0.855232\pi\) |
0.468573 | − | 0.883425i | \(-0.344768\pi\) | |||||||
\(614\) | − | 69.0254i | − | 2.78564i | ||||||
\(615\) | −6.03223 | + | 6.74368i | −0.243243 | + | 0.271931i | ||||
\(616\) | 14.8995 | − | 8.93698i | 0.600316 | − | 0.360081i | ||||
\(617\) | 4.85188 | + | 3.52510i | 0.195329 | + | 0.141915i | 0.681151 | − | 0.732143i | \(-0.261480\pi\) |
−0.485822 | + | 0.874058i | \(0.661480\pi\) | |||||||
\(618\) | 27.6831 | − | 5.67354i | 1.11358 | − | 0.228223i | ||||
\(619\) | 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 | ||||
\(621\) | 3.26528 | + | 2.48330i | 0.131031 | + | 0.0996513i | ||||
\(622\) | 29.2376 | + | 21.2423i | 1.17232 | + | 0.851740i | ||||
\(623\) | 14.0273 | + | 4.55776i | 0.561993 | + | 0.182603i | ||||
\(624\) | −5.53865 | − | 2.51452i | −0.221723 | − | 0.100662i | ||||
\(625\) | 6.71429 | − | 24.0815i | 0.268571 | − | 0.963260i | ||||
\(626\) | 1.91960 | 0.0767225 | ||||||||
\(627\) | −3.71010 | + | 18.2983i | −0.148167 | + | 0.730763i | ||||
\(628\) | −4.44009 | − | 6.11126i | −0.177179 | − | 0.243866i | ||||
\(629\) | −1.44773 | − | 4.45565i | −0.0577247 | − | 0.177658i | ||||
\(630\) | 71.1770 | − | 7.19158i | 2.83576 | − | 0.286519i | ||||
\(631\) | 11.1213 | + | 34.2279i | 0.442733 | + | 1.36259i | 0.884951 | + | 0.465684i | \(0.154192\pi\) |
−0.442218 | + | 0.896908i | \(0.645808\pi\) | |||||||
\(632\) | −0.954216 | − | 2.93677i | −0.0379567 | − | 0.116819i | ||||
\(633\) | −8.01107 | − | 39.0887i | −0.318411 | − | 1.55364i | ||||
\(634\) | −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 | ||||
\(639\) | −1.42907 | + | 6.27199i | −0.0565332 | + | 0.248116i | ||||
\(640\) | −17.1165 | + | 5.76207i | −0.676590 | + | 0.227766i | ||||
\(641\) | −0.870660 | + | 0.282895i | −0.0343890 | + | 0.0111737i | −0.326161 | − | 0.945314i | \(-0.605755\pi\) |
0.291772 | + | 0.956488i | \(0.405755\pi\) | |||||||
\(642\) | −38.7095 | + | 42.3657i | −1.52774 | + | 1.67204i | ||||
\(643\) | −9.93447 | + | 3.22790i | −0.391777 | + | 0.127296i | −0.498280 | − | 0.867016i | \(-0.666035\pi\) |
0.106503 | + | 0.994312i | \(0.466035\pi\) | |||||||
\(644\) | −3.05841 | + | 9.41281i | −0.120518 | + | 0.370916i | ||||
\(645\) | 14.3313 | + | 24.6362i | 0.564295 | + | 0.970049i | ||||
\(646\) | −8.40259 | − | 2.73017i | −0.330595 | − | 0.107417i | ||||
\(647\) | 9.52277 | + | 29.3081i | 0.374379 | + | 1.15222i | 0.943897 | + | 0.330240i | \(0.107130\pi\) |
−0.569518 | + | 0.821979i | \(0.692870\pi\) | |||||||
\(648\) | 6.77673 | + | 6.46952i | 0.266215 | + | 0.254147i | ||||
\(649\) | 2.90088 | + | 12.6091i | 0.113869 | + | 0.494952i | ||||
\(650\) | 0.283129 | + | 13.4007i | 0.0111053 | + | 0.525620i | ||||
\(651\) | −74.4778 | + | 15.2639i | −2.91901 | + | 0.598240i | ||||
\(652\) | 10.3794 | − | 14.2861i | 0.406490 | − | 0.559486i | ||||
\(653\) | −19.7713 | −0.773712 | −0.386856 | − | 0.922140i | \(-0.626439\pi\) | ||||
−0.386856 | + | 0.922140i | \(0.626439\pi\) | |||||||
\(654\) | 6.50157 | − | 57.8002i | 0.254231 | − | 2.26017i | ||||
\(655\) | 10.4923 | − | 33.4917i | 0.409970 | − | 1.30863i | ||||
\(656\) | 2.00424 | + | 6.16841i | 0.0782524 | + | 0.240836i | ||||
\(657\) | −1.06196 | − | 11.7501i | −0.0414311 | − | 0.458416i | ||||
\(658\) | 73.8416 | + | 101.634i | 2.87864 | + | 3.96211i | ||||
\(659\) | 10.2129 | − | 31.4319i | 0.397837 | − | 1.22441i | −0.528894 | − | 0.848688i | \(-0.677393\pi\) |
0.926730 | − | 0.375727i | \(-0.122607\pi\) | |||||||
\(660\) | 3.97935 | + | 31.7518i | 0.154896 | + | 1.23594i | ||||
\(661\) | −8.95450 | − | 27.5591i | −0.348290 | − | 1.07193i | −0.959799 | − | 0.280688i | \(-0.909437\pi\) |
0.611509 | − | 0.791237i | \(-0.290563\pi\) | |||||||
\(662\) | 33.1747 | − | 45.6610i | 1.28937 | − | 1.77467i | ||||
\(663\) | −2.07471 | − | 1.89566i | −0.0805751 | − | 0.0736212i | ||||
\(664\) | 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 | ||||
\(669\) | −19.2602 | + | 42.4238i | −0.744643 | + | 1.64020i | ||||
\(670\) | 10.9088 | − | 34.8212i | 0.421445 | − | 1.34526i | ||||
\(671\) | −5.06241 | − | 22.0046i | −0.195432 | − | 0.849478i | ||||
\(672\) | 28.7009 | − | 63.2185i | 1.10716 | − | 2.43871i | ||||
\(673\) | −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 | ||||
\(675\) | −8.04713 | + | 24.7031i | −0.309734 | + | 0.950823i | ||||
\(676\) | 8.77595 | + | 27.0096i | 0.337537 | + | 1.03883i | ||||
\(677\) | −2.61033 | − | 3.59282i | −0.100323 | − | 0.138083i | 0.755904 | − | 0.654683i | \(-0.227198\pi\) |
−0.856227 | + | 0.516599i | \(0.827198\pi\) | |||||||
\(678\) | −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 | ||||
\(681\) | −42.6470 | − | 4.79708i | −1.63424 | − | 0.183825i | ||||
\(682\) | −13.7457 | − | 59.7479i | −0.526350 | − | 2.28786i | ||||
\(683\) | −1.09099 | − | 0.792649i | −0.0417455 | − | 0.0303299i | 0.566717 | − | 0.823913i | \(-0.308213\pi\) |
−0.608462 | + | 0.793583i | \(0.708213\pi\) | |||||||
\(684\) | −9.55508 | − | 22.3321i | −0.365348 | − | 0.853889i | ||||
\(685\) | −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 | ||||
\(690\) | −4.82970 | − | 4.32017i | −0.183864 | − | 0.164466i | ||||
\(691\) | 25.1249 | + | 18.2543i | 0.955798 | + | 0.694428i | 0.952171 | − | 0.305566i | \(-0.0988456\pi\) |
0.00362661 | + | 0.999993i | \(0.498846\pi\) | |||||||
\(692\) | −17.4124 | + | 23.9661i | −0.661919 | + | 0.911053i | ||||
\(693\) | −40.5689 | − | 29.3450i | −1.54109 | − | 1.11472i | ||||
\(694\) | 16.2971 | + | 11.8406i | 0.618631 | + | 0.449462i | ||||
\(695\) | 0.187622 | + | 17.7626i | 0.00711691 | + | 0.673772i | ||||
\(696\) | 0.122808 | + | 0.599222i | 0.00465503 | + | 0.0227134i | ||||
\(697\) | 2.99658i | 0.113504i | ||||||||
\(698\) | 5.45440 | − | 3.96286i | 0.206452 | − | 0.149996i | ||||
\(699\) | 17.0119 | + | 15.5437i | 0.643449 | + | 0.587917i | ||||
\(700\) | −62.6673 | + | 1.32403i | −2.36860 | + | 0.0500436i | ||||
\(701\) | 5.71829 | − | 4.15458i | 0.215977 | − | 0.156916i | −0.474537 | − | 0.880236i | \(-0.657385\pi\) |
0.690514 | + | 0.723319i | \(0.257385\pi\) | |||||||
\(702\) | 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 | ||||
\(705\) | −44.5953 | + | 9.63153i | −1.67956 | + | 0.362744i | ||||
\(706\) | −0.0542088 | − | 0.0746120i | −0.00204018 | − | 0.00280806i | ||||
\(707\) | 0.609200 | − | 0.442609i | 0.0229113 | − | 0.0166460i | ||||
\(708\) | −12.4268 | − | 11.3544i | −0.467029 | − | 0.426723i | ||||
\(709\) | 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 | ||||
\(711\) | −6.69927 | + | 5.85740i | −0.251242 | + | 0.219670i | ||||
\(712\) | −0.942858 | − | 2.90182i | −0.0353351 | − | 0.108750i | ||||
\(713\) | 5.57117 | + | 4.04769i | 0.208642 | + | 0.151587i | ||||
\(714\) | 15.9818 | − | 17.4913i | 0.598103 | − | 0.654596i | ||||
\(715\) | 6.08492 | − | 7.13998i | 0.227563 | − | 0.267020i | ||||
\(716\) | −40.5524 | − | 13.1763i | −1.51551 | − | 0.492420i | ||||
\(717\) | −38.2264 | − | 17.3546i | −1.42759 | − | 0.648120i | ||||
\(718\) | 20.3800 | + | 28.0506i | 0.760574 | + | 1.04684i | ||||
\(719\) | −23.4473 | + | 7.61849i | −0.874437 | + | 0.284122i | −0.711646 | − | 0.702539i | \(-0.752050\pi\) |
−0.162791 | + | 0.986661i | \(0.552050\pi\) | |||||||
\(720\) | 12.4060 | + | 13.8903i | 0.462345 | + | 0.517659i | ||||
\(721\) | 22.7710 | − | 31.3416i | 0.848037 | − | 1.16722i | ||||
\(722\) | − | 17.8792i | − | 0.665396i | ||||||
\(723\) | −28.6958 | − | 3.22780i | −1.06721 | − | 0.120043i | ||||
\(724\) | −11.4958 | + | 35.3805i | −0.427238 | + | 1.31490i | ||||
\(725\) | −1.35090 | + | 1.02577i | −0.0501710 | + | 0.0380962i | ||||
\(726\) | 22.8731 | − | 33.2736i | 0.848900 | − | 1.23490i | ||||
\(727\) | −14.1608 | + | 4.60114i | −0.525196 | + | 0.170647i | −0.559602 | − | 0.828761i | \(-0.689046\pi\) |
0.0344059 | + | 0.999408i | \(0.489046\pi\) | |||||||
\(728\) | 6.30215 | − | 2.04769i | 0.233573 | − | 0.0758925i | ||||
\(729\) | 9.45875 | − | 25.2890i | 0.350324 | − | 0.936629i | ||||
\(730\) | 0.196838 | + | 18.6350i | 0.00728529 | + | 0.689714i | ||||
\(731\) | 8.97737 | + | 2.91692i | 0.332040 | + | 0.107886i | ||||
\(732\) | 21.6864 | + | 19.8148i | 0.801554 | + | 0.732378i | ||||
\(733\) | 11.1904 | + | 34.4404i | 0.413326 | + | 1.27209i | 0.913740 | + | 0.406300i | \(0.133181\pi\) |
−0.500414 | + | 0.865786i | \(0.666819\pi\) | |||||||
\(734\) | −6.39075 | − | 19.6687i | −0.235887 | − | 0.725985i | ||||
\(735\) | 47.3117 | − | 52.8917i | 1.74512 | − | 1.95094i | ||||
\(736\) | −5.98097 | + | 1.94334i | −0.220462 | + | 0.0716323i | ||||
\(737\) | −21.9012 | + | 13.1368i | −0.806742 | + | 0.483899i | ||||
\(738\) | −11.1815 | + | 9.77638i | −0.411597 | + | 0.359873i | ||||
\(739\) | 42.1967i | 1.55223i | 0.630592 | + | 0.776115i | \(0.282812\pi\) | ||||
−0.630592 | + | 0.776115i | \(0.717188\pi\) | |||||||
\(740\) | −11.7845 | + | 16.5856i | −0.433208 | + | 0.609699i | ||||
\(741\) | −2.94370 | + | 6.48399i | −0.108140 | + | 0.238195i | ||||
\(742\) | 103.871 | + | 33.7496i | 3.81321 | + | 1.23899i | ||||
\(743\) | 38.4993 | − | 12.5092i | 1.41240 | − | 0.458917i | 0.499222 | − | 0.866474i | \(-0.333619\pi\) |
0.913180 | + | 0.407557i | \(0.133619\pi\) | |||||||
\(744\) | 11.6107 | + | 10.6086i | 0.425668 | + | 0.388931i | ||||
\(745\) | −7.68535 | + | 5.70873i | −0.281570 | + | 0.209152i | ||||
\(746\) | 31.8442 | − | 10.3468i | 1.16590 | − | 0.378823i | ||||
\(747\) | −4.57239 | + | 0.413247i | −0.167295 | + | 0.0151199i | ||||
\(748\) | 7.99320 | + | 6.95913i | 0.292260 | + | 0.254451i | ||||
\(749\) | 78.6735i | 2.87467i | ||||||||
\(750\) | 15.7727 | − | 37.8870i | 0.575936 | − | 1.38344i | ||||
\(751\) | −14.9482 | + | 10.8605i | −0.545466 | + | 0.396304i | −0.826111 | − | 0.563507i | \(-0.809452\pi\) |
0.280645 | + | 0.959812i | \(0.409452\pi\) | |||||||
\(752\) | −10.1062 | + | 31.1038i | −0.368537 | + | 1.13424i | ||||
\(753\) | −19.5691 | − | 2.20120i | −0.713136 | − | 0.0802161i | ||||
\(754\) | 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 | 0.515437 | − | 0.856928i | \(-0.327630\pi\) |
−0.0866921 | + | 0.996235i | \(0.527630\pi\) | |||||||
\(758\) | −7.15561 | + | 9.84885i | −0.259903 | + | 0.357726i | ||||
\(759\) | 0.516416 | + | 4.50576i | 0.0187447 | + | 0.163549i | ||||
\(760\) | 2.41374 | + | 7.17015i | 0.0875557 | + | 0.260089i | ||||
\(761\) | 26.8546 | 0.973479 | 0.486739 | − | 0.873547i | \(-0.338186\pi\) | ||||
0.486739 | + | 0.873547i | \(0.338186\pi\) | |||||||
\(762\) | −26.7256 | − | 24.4191i | −0.968166 | − | 0.884611i | ||||
\(763\) | −46.8697 | − | 64.5106i | −1.69680 | − | 2.33544i | ||||
\(764\) | 5.94387 | + | 8.18104i | 0.215042 | + | 0.295980i | ||||
\(765\) | 3.46814 | + | 7.87468i | 0.125391 | + | 0.284710i | ||||
\(766\) | 24.6302 | + | 33.9005i | 0.889925 | + | 1.22488i | ||||
\(767\) | 4.93471i | 0.178182i | ||||||||
\(768\) | 9.40080 | − | 1.92666i | 0.339222 | − | 0.0695222i | ||||
\(769\) | 6.04642 | − | 8.32218i | 0.218040 | − | 0.300106i | −0.685960 | − | 0.727639i | \(-0.740617\pi\) |
0.903999 | + | 0.427534i | \(0.140617\pi\) | |||||||
\(770\) | 60.1952 | + | 51.3003i | 2.16929 | + | 1.84873i | ||||
\(771\) | 42.1114 | + | 19.1184i | 1.51661 | + | 0.688533i | ||||
\(772\) | −11.7460 | − | 36.1504i | −0.422747 | − | 1.30108i | ||||
\(773\) | −43.2805 | − | 31.4451i | −1.55669 | − | 1.13100i | −0.938658 | − | 0.344848i | \(-0.887930\pi\) |
−0.618032 | − | 0.786153i | \(-0.712070\pi\) | |||||||
\(774\) | 18.4045 | + | 43.0149i | 0.661535 | + | 1.54614i | ||||
\(775\) | −12.5979 | + | 41.7536i | −0.452531 | + | 1.49984i | ||||
\(776\) | 5.28177 | + | 16.2556i | 0.189604 | + | 0.583542i | ||||
\(777\) | −6.39152 | − | 31.1864i | −0.229294 | − | 1.11880i | ||||
\(778\) | −18.9306 | + | 58.2623i | −0.678694 | + | 2.08880i | ||||
\(779\) | 7.22124 | − | 2.34632i | 0.258728 | − | 0.0840658i | ||||
\(780\) | −1.23606 | + | 12.1420i | −0.0442579 | + | 0.434754i | ||||
\(781\) | −6.09869 | + | 3.65811i | −0.218228 | + | 0.130897i | ||||
\(782\) | −2.14610 | −0.0767443 | ||||||||
\(783\) | 1.44842 | − | 1.00467i | 0.0517624 | − | 0.0359041i | ||||
\(784\) | −15.7196 | − | 48.3798i | −0.561413 | − | 1.72785i | ||||
\(785\) | 3.92718 | − | 5.52714i | 0.140167 | − | 0.197272i | ||||
\(786\) | 23.8168 | − | 52.4603i | 0.849516 | − | 1.87120i | ||||
\(787\) | 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 | ||||
\(789\) | 40.4805 | + | 4.55338i | 1.44114 | + | 0.162105i | ||||
\(790\) | 11.2841 | − | 8.38189i | 0.401470 | − | 0.298214i | ||||
\(791\) | −23.7446 | + | 73.0784i | −0.844261 | + | 2.59837i | ||||
\(792\) | 0.0217687 | + | 10.3578i | 0.000773518 | + | 0.368049i | ||||
\(793\) | − | 8.61172i | − | 0.305811i | ||||||
\(794\) | −44.5359 | + | 32.3572i | −1.58052 | + | 1.14832i | ||||
\(795\) | −26.4437 | + | 29.5625i | −0.937861 | + | 1.04847i | ||||
\(796\) | −32.5178 | −1.15256 | ||||||||
\(797\) | −1.44091 | − | 1.04688i | −0.0510397 | − | 0.0370825i | 0.561973 | − | 0.827156i | \(-0.310043\pi\) |
−0.613013 | + | 0.790073i | \(0.710043\pi\) | |||||||
\(798\) | −54.6648 | − | 24.8176i | −1.93511 | − | 0.878533i | ||||
\(799\) | −8.88147 | + | 12.2243i | −0.314204 | + | 0.432465i | ||||
\(800\) | −24.0858 | − | 31.7200i | −0.851563 | − | 1.12147i | ||||
\(801\) | −6.61953 | + | 5.78768i | −0.233890 | + | 0.204498i | ||||
\(802\) | −22.8469 | − | 70.3155i | −0.806751 | − | 2.48293i | ||||
\(803\) | 8.56464 | − | 9.83727i | 0.302240 | − | 0.347150i | ||||
\(804\) | 13.7352 | − | 30.2541i | 0.484405 | − | 1.06698i | ||||
\(805\) | −8.88306 | + | 0.0938298i | −0.313087 | + | 0.00330707i | ||||
\(806\) | − | 23.3829i | − | 0.823629i | ||||||
\(807\) | 4.86397 | + | 0.547116i | 0.171220 | + | 0.0192594i | ||||
\(808\) | −0.148151 | − | 0.0481371i | −0.00521192 | − | 0.00169346i | ||||
\(809\) | 40.6477 | 1.42910 | 0.714549 | − | 0.699585i | \(-0.246632\pi\) | ||||
0.714549 | + | 0.699585i | \(0.246632\pi\) | |||||||
\(810\) | −18.0689 | + | 38.6323i | −0.634878 | + | 1.35740i | ||||
\(811\) | −16.6144 | + | 22.8678i | −0.583411 | + | 0.802997i | −0.994064 | − | 0.108795i | \(-0.965301\pi\) |
0.410653 | + | 0.911792i | \(0.365301\pi\) | |||||||
\(812\) | 3.44061 | + | 2.49975i | 0.120742 | + | 0.0877239i | ||||
\(813\) | 8.74021 | + | 42.6464i | 0.306532 | + | 1.49568i | ||||
\(814\) | 25.0185 | − | 5.75579i | 0.876897 | − | 0.201740i | ||||
\(815\) | 15.1251 | + | 4.73843i | 0.529811 | + | 0.165980i | ||||
\(816\) | 6.12938 | + | 0.689455i | 0.214571 | + | 0.0241357i | ||||
\(817\) | − | 23.9179i | − | 0.836780i | ||||||
\(818\) | −0.500230 | − | 0.363438i | −0.0174901 | − | 0.0127073i | ||||
\(819\) | −12.5696 | − | 14.3763i | −0.439219 | − | 0.502347i | ||||
\(820\) | 10.4469 | − | 7.76001i | 0.364821 | − | 0.270991i | ||||
\(821\) | 2.38128 | 0.0831073 | 0.0415536 | − | 0.999136i | \(-0.486769\pi\) | ||||
0.0415536 | + | 0.999136i | \(0.486769\pi\) | |||||||
\(822\) | −4.58796 | − | 22.3862i | −0.160024 | − | 0.780810i | ||||
\(823\) | 25.3819i | 0.884756i | 0.896829 | + | 0.442378i | \(0.145865\pi\) | ||||
−0.896829 | + | 0.442378i | \(0.854135\pi\) | |||||||
\(824\) | −8.01418 | −0.279187 | ||||||||
\(825\) | −25.8709 | + | 12.4779i | −0.900709 | + | 0.434424i | ||||
\(826\) | −41.6032 | −1.44756 | ||||||||
\(827\) | 38.8467i | 1.35083i | 0.737438 | + | 0.675415i | \(0.236036\pi\) | ||||
−0.737438 | + | 0.675415i | \(0.763964\pi\) | |||||||
\(828\) | −3.88373 | − | 4.44193i | −0.134969 | − | 0.154368i | ||||
\(829\) | 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 | ||||
\(831\) | 16.2079 | − | 3.32175i | 0.562247 | − | 0.115230i | ||||
\(832\) | 11.5933 | + | 8.42303i | 0.401926 | + | 0.292016i | ||||
\(833\) | − | 23.5027i | − | 0.814319i | ||||||
\(834\) | −3.25946 | + | 28.9772i | −0.112866 | + | 1.00340i | ||||
\(835\) | 16.9887 | − | 23.9100i | 0.587917 | − | 0.827438i | ||||
\(836\) | 10.5116 | − | 24.7112i | 0.363552 | − | 0.854655i | ||||
\(837\) | 14.9455 | − | 42.7887i | 0.516591 | − | 1.47899i | ||||
\(838\) | 61.2874 | + | 44.5279i | 2.11714 | + | 1.53819i | ||||
\(839\) | 15.4933 | − | 21.3247i | 0.534888 | − | 0.736210i | −0.452977 | − | 0.891522i | \(-0.649638\pi\) |
0.987866 | + | 0.155312i | \(0.0496381\pi\) | |||||||
\(840\) | −20.1844 | − | 2.05477i | −0.696428 | − | 0.0708962i | ||||
\(841\) | −28.8849 | −0.996032 | ||||||||
\(842\) | −27.4142 | − | 8.90742i | −0.944756 | − | 0.306970i | ||||
\(843\) | −2.84200 | + | 25.2659i | −0.0978836 | + | 0.870204i | ||||
\(844\) | 57.3900i | 1.97545i | ||||||||
\(845\) | −20.4632 | + | 15.2002i | −0.703956 | + | 0.522902i | ||||
\(846\) | −74.5899 | + | 6.74135i | −2.56445 | + | 0.231772i | ||||
\(847\) | −7.61984 | − | 54.8271i | −0.261821 | − | 1.88388i | ||||
\(848\) | 8.78605 | + | 27.0407i | 0.301714 | + | 0.928581i | ||||
\(849\) | 11.8035 | − | 2.41907i | 0.405095 | − | 0.0830224i | ||||
\(850\) | −4.47219 | − | 12.8349i | −0.153395 | − | 0.440233i | ||||
\(851\) | −1.69491 | + | 2.33284i | −0.0581006 | + | 0.0799686i | ||||
\(852\) | 3.82476 | − | 8.42466i | 0.131034 | − | 0.288624i | ||||
\(853\) | 24.9947 | + | 18.1597i | 0.855803 | + | 0.621777i | 0.926740 | − | 0.375704i | \(-0.122599\pi\) |
−0.0709372 | + | 0.997481i | \(0.522599\pi\) | |||||||
\(854\) | 72.6031 | 2.48443 | ||||||||
\(855\) | 16.2611 | − | 14.5235i | 0.556116 | − | 0.496692i | ||||
\(856\) | 13.1668 | − | 9.56627i | 0.450033 | − | 0.326968i | ||||
\(857\) | − | 4.54844i | − | 0.155372i | −0.996978 | − | 0.0776859i | \(-0.975247\pi\) | ||
0.996978 | − | 0.0776859i | \(-0.0247531\pi\) | |||||||
\(858\) | 11.3469 | − | 10.4115i | 0.387377 | − | 0.355442i | ||||
\(859\) | −1.25755 | + | 3.87035i | −0.0429072 | + | 0.132055i | −0.970215 | − | 0.242244i | \(-0.922117\pi\) |
0.927308 | + | 0.374299i | \(0.122117\pi\) | |||||||
\(860\) | −13.0788 | − | 38.8513i | −0.445983 | − | 1.32482i | ||||
\(861\) | −2.27604 | + | 20.2344i | −0.0775672 | + | 0.689587i | ||||
\(862\) | −10.8908 | − | 14.9898i | −0.370941 | − | 0.510556i | ||||
\(863\) | −35.5231 | −1.20922 | −0.604610 | − | 0.796521i | \(-0.706671\pi\) | ||||
−0.604610 | + | 0.796521i | \(0.706671\pi\) | |||||||
\(864\) | 23.5904 | + | 34.0100i | 0.802563 | + | 1.15704i | ||||
\(865\) | −25.3737 | − | 7.94911i | −0.862731 | − | 0.270278i | ||||
\(866\) | 7.84321 | + | 24.1389i | 0.266523 | + | 0.820274i | ||||
\(867\) | −24.2163 | − | 10.9941i | −0.822429 | − | 0.373379i | ||||
\(868\) | 109.348 | 3.71152 | ||||||||
\(869\) | −9.79994 | − | 0.864946i | −0.332440 | − | 0.0293413i | ||||
\(870\) | −2.40683 | + | 1.40009i | −0.0815990 | + | 0.0474676i | ||||
\(871\) | −9.26374 | + | 3.00997i | −0.313890 | + | 0.101989i | ||||
\(872\) | −5.09743 | + | 15.6883i | −0.172621 | + | 0.531272i | ||||
\(873\) | 37.0817 | − | 32.4218i | 1.25503 | − | 1.09731i | ||||
\(874\) | 1.68039 | + | 5.17172i | 0.0568402 | + | 0.174936i | ||||
\(875\) | −19.0723 | − | 52.9303i | −0.644761 | − | 1.78937i | ||||
\(876\) | −1.89678 | + | 16.8628i | −0.0640864 | + | 0.569740i | ||||
\(877\) | −8.83152 | − | 6.41648i | −0.298219 | − | 0.216669i | 0.428606 | − | 0.903492i | \(-0.359005\pi\) |
−0.726825 | + | 0.686823i | \(0.759005\pi\) | |||||||
\(878\) | 10.4225 | + | 32.0772i | 0.351742 | + | 1.08255i | ||||
\(879\) | −9.51965 | + | 20.9686i | −0.321090 | + | 0.707252i | ||||
\(880\) | −1.59347 | + | 20.5277i | −0.0537158 | + | 0.691989i | ||||
\(881\) | −3.14050 | + | 4.32253i | −0.105806 | + | 0.145630i | −0.858637 | − | 0.512585i | \(-0.828688\pi\) |
0.752830 | + | 0.658215i | \(0.228688\pi\) | |||||||
\(882\) | 87.6984 | − | 76.6777i | 2.95296 | − | 2.58187i | ||||
\(883\) | − | 20.5036i | − | 0.690001i | −0.938603 | − | 0.345000i | \(-0.887879\pi\) | ||
0.938603 | − | 0.345000i | \(-0.112121\pi\) | |||||||
\(884\) | 2.37589 | + | 3.27013i | 0.0799097 | + | 0.109986i | ||||
\(885\) | 6.10020 | − | 13.8227i | 0.205056 | − | 0.464646i | ||||
\(886\) | 45.6591 | + | 62.8444i | 1.53395 | + | 2.11130i | ||||
\(887\) | −3.63727 | − | 5.00627i | −0.122128 | − | 0.168094i | 0.743576 | − | 0.668652i | \(-0.233128\pi\) |
−0.865703 | + | 0.500558i | \(0.833128\pi\) | |||||||
\(888\) | −4.44219 | + | 4.86178i | −0.149070 | + | 0.163151i | ||||
\(889\) | −49.6296 | −1.66452 | ||||||||
\(890\) | 11.1498 | − | 8.28212i | 0.373742 | − | 0.277617i | ||||
\(891\) | 27.4184 | − | 11.7996i | 0.918552 | − | 0.395300i | ||||
\(892\) | 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 | ||||
\(897\) | −0.193347 | + | 1.71889i | −0.00645567 | + | 0.0573922i | ||||
\(898\) | 0.756335 | − | 2.32776i | 0.0252392 | − | 0.0776783i | ||||
\(899\) | 2.39393 | − | 1.73929i | 0.0798419 | − | 0.0580086i | ||||
\(900\) | 18.4721 | − | 32.4833i | 0.615736 | − | 1.08278i | ||||
\(901\) | 13.1362i | 0.437631i | ||||||||
\(902\) | −16.3567 | − | 1.44365i | −0.544620 | − | 0.0480683i | ||||
\(903\) | 58.4042 | + | 26.5152i | 1.94357 | + | 0.882372i | ||||
\(904\) | 15.1176 | − | 4.91202i | 0.502806 | − | 0.163371i | ||||
\(905\) | −33.3893 | + | 0.352684i | −1.10990 | + | 0.0117236i | ||||
\(906\) | −10.5153 | + | 11.5085i | −0.349346 | + | 0.382344i | ||||
\(907\) | −20.0135 | + | 6.50277i | −0.664537 | + | 0.215921i | −0.621813 | − | 0.783166i | \(-0.713604\pi\) |
−0.0427238 | + | 0.999087i | \(0.513604\pi\) | |||||||
\(908\) | 58.7050 | + | 19.0744i | 1.94819 | + | 0.633007i | ||||
\(909\) | 0.0404079 | + | 0.447095i | 0.00134025 | + | 0.0148292i | ||||
\(910\) | 17.9871 | + | 24.2150i | 0.596265 | + | 0.802720i | ||||
\(911\) | − | 27.2463i | − | 0.902709i | −0.892345 | − | 0.451354i | \(-0.850941\pi\) | ||
0.892345 | − | 0.451354i | \(-0.149059\pi\) | |||||||
\(912\) | −3.13784 | − | 15.3106i | −0.103904 | − | 0.506984i | ||||
\(913\) | −3.82803 | − | 3.33281i | −0.126689 | − | 0.110300i | ||||
\(914\) | 72.1350 | − | 23.4381i | 2.38601 | − | 0.775263i | ||||
\(915\) | −10.6456 | + | 24.1225i | −0.351934 | + | 0.797464i | ||||
\(916\) | −19.7151 | − | 60.6770i | −0.651407 | − | 2.00482i | ||||
\(917\) | −24.4074 | − | 75.1183i | −0.806004 | − | 2.48062i | ||||
\(918\) | 4.06991 | + | 13.5259i | 0.134327 | + | 0.446421i | ||||
\(919\) | −34.9657 | − | 11.3610i | −1.15341 | − | 0.374766i | −0.330984 | − | 0.943636i | \(-0.607381\pi\) |
−0.822427 | + | 0.568871i | \(0.807381\pi\) | |||||||
\(920\) | 1.09583 | + | 1.47526i | 0.0361286 | + | 0.0486380i | ||||
\(921\) | 55.2654 | − | 11.3264i | 1.82106 | − | 0.373218i | ||||
\(922\) | −2.27792 | + | 0.740141i | −0.0750193 | + | 0.0243752i | ||||
\(923\) | −2.57961 | + | 0.838167i | −0.0849090 | + | 0.0275886i | ||||
\(924\) | 48.6883 | + | 53.0627i | 1.60173 | + | 1.74564i | ||||
\(925\) | −17.4837 | − | 5.27518i | −0.574859 | − | 0.173447i | ||||
\(926\) | 17.2843 | − | 53.1957i | 0.567999 | − | 1.74812i | ||||
\(927\) | 9.08507 | + | 21.2336i | 0.298393 | + | 0.697403i | ||||
\(928\) | 2.70228i | 0.0887066i | ||||||||
\(929\) | 19.5688 | − | 26.9342i | 0.642032 | − | 0.883681i | −0.356690 | − | 0.934223i | \(-0.616095\pi\) |
0.998722 | + | 0.0505418i | \(0.0160948\pi\) | |||||||
\(930\) | −28.9056 | + | 65.4984i | −0.947850 | + | 2.14778i | ||||
\(931\) | −56.6373 | + | 18.4026i | −1.85621 | + | 0.603120i | ||||
\(932\) | −19.4814 | − | 26.8139i | −0.638135 | − | 0.878318i | ||||
\(933\) | −12.2101 | + | 26.8948i | −0.399742 | + | 0.880496i | ||||
\(934\) | −0.137405 | − | 0.0446457i | −0.00449604 | − | 0.00146085i | ||||
\(935\) | −3.63095 | + | 8.79248i | −0.118745 | + | 0.287545i | ||||
\(936\) | −0.877617 | + | 3.85173i | −0.0286858 | + | 0.125898i | ||||
\(937\) | 0.881543 | + | 0.640478i | 0.0287987 | + | 0.0209235i | 0.602092 | − | 0.798427i | \(-0.294334\pi\) |
−0.573293 | + | 0.819351i | \(0.694334\pi\) | |||||||
\(938\) | −25.3763 | − | 78.1001i | −0.828564 | − | 2.55006i | ||||
\(939\) | 0.314987 | + | 1.53693i | 0.0102792 | + | 0.0501558i | ||||
\(940\) | 65.6168 | − | 0.693096i | 2.14019 | − | 0.0226063i | ||||
\(941\) | −19.3512 | −0.630833 | −0.315416 | − | 0.948953i | \(-0.602144\pi\) | ||||
−0.315416 | + | 0.948953i | \(0.602144\pi\) | |||||||
\(942\) | 7.50771 | − | 8.21685i | 0.244614 | − | 0.267719i | ||||
\(943\) | 1.49213 | − | 1.08409i | 0.0485904 | − | 0.0353030i | ||||
\(944\) | −6.36606 | − | 8.76213i | −0.207198 | − | 0.285183i | ||||
\(945\) | 17.4374 | + | 55.8080i | 0.567239 | + | 1.81543i | ||||
\(946\) | −20.2469 | + | 47.5974i | −0.658284 | + | 1.54752i | ||||
\(947\) | −30.2795 | + | 21.9994i | −0.983953 | + | 0.714884i | −0.958589 | − | 0.284795i | \(-0.908075\pi\) |
−0.0253643 | + | 0.999678i | \(0.508075\pi\) | |||||||
\(948\) | 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 | ||||
\(951\) | 12.7770 | − | 13.9839i | 0.414323 | − | 0.453458i | ||||
\(952\) | −5.43612 | + | 3.94957i | −0.176186 | + | 0.128006i | ||||
\(953\) | 15.7481i | 0.510132i | 0.966924 | + | 0.255066i | \(0.0820973\pi\) | ||||
−0.966924 | + | 0.255066i | \(0.917903\pi\) | |||||||
\(954\) | −49.0168 | + | 42.8570i | −1.58698 | + | 1.38755i | ||||
\(955\) | −5.25725 | + | 7.39909i | −0.170121 | + | 0.239429i | ||||
\(956\) | 48.8500 | + | 35.4916i | 1.57992 | + | 1.14788i | ||||
\(957\) | 1.90993 | + | 0.387252i | 0.0617394 | + | 0.0125181i | ||||
\(958\) | −23.3200 | + | 32.0973i | −0.753436 | + | 1.03702i | ||||
\(959\) | −25.3447 | − | 18.4140i | −0.818424 | − | 0.594620i | ||||
\(960\) | −22.0619 | − | 37.9254i | −0.712043 | − | 1.22404i | ||||
\(961\) | 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 | ||||
\(966\) | −14.4915 | − | 1.63006i | −0.466257 | − | 0.0524462i | ||||
\(967\) | −39.7903 | − | 28.9093i | −1.27957 | − | 0.929661i | −0.280029 | − | 0.959992i | \(-0.590344\pi\) |
−0.999540 | + | 0.0303303i | \(0.990344\pi\) | |||||||
\(968\) | −8.24936 | + | 7.94193i | −0.265144 | + | 0.255263i | ||||
\(969\) | 0.807131 | − | 7.17555i | 0.0259288 | − | 0.230512i | ||||
\(970\) | −62.4596 | + | 46.3954i | −2.00546 | + | 1.48967i | ||||
\(971\) | −36.9053 | − | 11.9912i | −1.18435 | − | 0.384817i | −0.350366 | − | 0.936613i | \(-0.613943\pi\) |
−0.833980 | + | 0.551795i | \(0.813943\pi\) | |||||||
\(972\) | −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 | ||||
\(975\) | −10.6829 | + | 2.42562i | −0.342126 | + | 0.0776820i | ||||
\(976\) | 11.1096 | + | 15.2911i | 0.355610 | + | 0.489455i | ||||
\(977\) | 50.0818 | 1.60226 | 0.801129 | − | 0.598492i | \(-0.204233\pi\) | ||||
0.801129 | + | 0.598492i | \(0.204233\pi\) | |||||||
\(978\) | 23.6915 | + | 10.7559i | 0.757572 | + | 0.343934i | ||||
\(979\) | −9.68330 | − | 0.854651i | −0.309480 | − | 0.0273148i | ||||
\(980\) | −81.9366 | + | 60.8630i | −2.61737 | + | 1.94420i | ||||
\(981\) | 47.3447 | − | 4.27896i | 1.51160 | − | 0.136617i | ||||
\(982\) | −8.28656 | − | 11.4055i | −0.264435 | − | 0.363963i | ||||
\(983\) | 3.62985 | + | 11.1715i | 0.115774 | + | 0.356317i | 0.992108 | − | 0.125388i | \(-0.0400177\pi\) |
−0.876333 | + | 0.481705i | \(0.840018\pi\) | |||||||
\(984\) | 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 | ||||
\(987\) | −69.2570 | + | 75.7987i | −2.20448 | + | 2.41270i | ||||
\(988\) | 6.02012 | − | 8.28598i | 0.191526 | − | 0.263612i | ||||
\(989\) | −1.79534 | − | 5.52550i | −0.0570886 | − | 0.175701i | ||||
\(990\) | −44.6545 | + | 15.1369i | −1.41921 | + | 0.481084i | ||||
\(991\) | 11.6938 | − | 35.9899i | 0.371466 | − | 1.14326i | −0.574365 | − | 0.818599i | \(-0.694751\pi\) |
0.945832 | − | 0.324657i | \(-0.105249\pi\) | |||||||
\(992\) | 40.8397 | + | 56.2111i | 1.29666 | + | 1.78470i | ||||
\(993\) | 42.0023 | + | 19.0689i | 1.33290 | + | 0.605132i | ||||
\(994\) | −7.06636 | − | 21.7480i | −0.224131 | − | 0.689805i | ||||
\(995\) | −9.31209 | − | 27.6621i | −0.295213 | − | 0.876946i | ||||
\(996\) | 6.56191 | + | 0.738106i | 0.207922 | + | 0.0233878i | ||||
\(997\) | −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 | ||||
\(999\) | 17.9171 | + | 6.25818i | 0.566871 | + | 0.198000i |
(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.794.19 | yes | 464 | |
3.2 | odd | 2 | inner | 825.2.s.a.794.98 | yes | 464 | |
11.6 | odd | 10 | 825.2.bu.a.644.19 | yes | 464 | ||
25.4 | even | 10 | 825.2.bu.a.629.98 | yes | 464 | ||
33.17 | even | 10 | 825.2.bu.a.644.98 | yes | 464 | ||
75.29 | odd | 10 | 825.2.bu.a.629.19 | yes | 464 | ||
275.204 | odd | 10 | inner | 825.2.s.a.479.19 | ✓ | 464 | |
825.479 | even | 10 | inner | 825.2.s.a.479.98 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
825.2.s.a.479.19 | ✓ | 464 | 275.204 | odd | 10 | inner | |
825.2.s.a.479.98 | yes | 464 | 825.479 | even | 10 | inner | |
825.2.s.a.794.19 | yes | 464 | 1.1 | even | 1 | trivial | |
825.2.s.a.794.98 | yes | 464 | 3.2 | odd | 2 | inner | |
825.2.bu.a.629.19 | yes | 464 | 75.29 | odd | 10 | ||
825.2.bu.a.629.98 | yes | 464 | 25.4 | even | 10 | ||
825.2.bu.a.644.19 | yes | 464 | 11.6 | odd | 10 | ||
825.2.bu.a.644.98 | yes | 464 | 33.17 | even | 10 |