Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [471,2,Mod(50,471)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(471, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("471.50");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 471 = 3 \cdot 157 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 471.l (of order \(12\), 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: | \(3.76095393520\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 50.6 | ||
Character | \(\chi\) | \(=\) | 471.50 |
Dual form | 471.2.l.b.179.6 |
$q$-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 \(\left(\mathbb{Z}/471\mathbb{Z}\right)^\times\).
\(n\) | \(158\) | \(319\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.59659 | + | 1.59659i | −1.12896 | + | 1.12896i | −0.138616 | + | 0.990346i | \(0.544265\pi\) |
−0.990346 | + | 0.138616i | \(0.955735\pi\) | |||||||
\(3\) | −1.63950 | − | 0.558616i | −0.946564 | − | 0.322517i | ||||
\(4\) | − | 3.09822i | − | 1.54911i | ||||||
\(5\) | 0.704955 | + | 2.63093i | 0.315265 | + | 1.17659i | 0.923742 | + | 0.383015i | \(0.125114\pi\) |
−0.608477 | + | 0.793572i | \(0.708219\pi\) | |||||||
\(6\) | 3.50949 | − | 1.72573i | 1.43274 | − | 0.704525i | ||||
\(7\) | −1.39752 | + | 1.39752i | −0.528214 | + | 0.528214i | −0.920040 | − | 0.391825i | \(-0.871844\pi\) |
0.391825 | + | 0.920040i | \(0.371844\pi\) | |||||||
\(8\) | 1.75342 | + | 1.75342i | 0.619926 | + | 0.619926i | ||||
\(9\) | 2.37590 | + | 1.83170i | 0.791965 | + | 0.610566i | ||||
\(10\) | −5.32605 | − | 3.07500i | −1.68424 | − | 0.972399i | ||||
\(11\) | 4.02694 | + | 2.32495i | 1.21417 | + | 0.701000i | 0.963664 | − | 0.267116i | \(-0.0860706\pi\) |
0.250503 | + | 0.968116i | \(0.419404\pi\) | |||||||
\(12\) | −1.73072 | + | 5.07952i | −0.499615 | + | 1.46633i | ||||
\(13\) | 4.50650 | − | 2.60183i | 1.24988 | − | 0.721617i | 0.278792 | − | 0.960351i | \(-0.410066\pi\) |
0.971085 | + | 0.238734i | \(0.0767326\pi\) | |||||||
\(14\) | − | 4.46255i | − | 1.19267i | ||||||
\(15\) | 0.313908 | − | 4.70719i | 0.0810507 | − | 1.21539i | ||||
\(16\) | 0.597461 | 0.149365 | ||||||||
\(17\) | −0.558662 | − | 0.322544i | −0.135496 | − | 0.0782284i | 0.430720 | − | 0.902486i | \(-0.358260\pi\) |
−0.566215 | + | 0.824257i | \(0.691593\pi\) | |||||||
\(18\) | −6.71782 | + | 0.868862i | −1.58340 | + | 0.204793i | ||||
\(19\) | −2.80533 | + | 4.85898i | −0.643587 | + | 1.11473i | 0.341039 | + | 0.940049i | \(0.389221\pi\) |
−0.984626 | + | 0.174676i | \(0.944112\pi\) | |||||||
\(20\) | 8.15120 | − | 2.18411i | 1.82266 | − | 0.488381i | ||||
\(21\) | 3.07191 | − | 1.51055i | 0.670346 | − | 0.329630i | ||||
\(22\) | −10.1414 | + | 2.71738i | −2.16215 | + | 0.579347i | ||||
\(23\) | 2.97703 | + | 2.97703i | 0.620754 | + | 0.620754i | 0.945724 | − | 0.324971i | \(-0.105354\pi\) |
−0.324971 | + | 0.945724i | \(0.605354\pi\) | |||||||
\(24\) | −1.89523 | − | 3.85420i | −0.386863 | − | 0.786736i | ||||
\(25\) | −2.09469 | + | 1.20937i | −0.418938 | + | 0.241874i | ||||
\(26\) | −3.04098 | + | 11.3491i | −0.596386 | + | 2.22574i | ||||
\(27\) | −2.87206 | − | 4.33028i | −0.552727 | − | 0.833362i | ||||
\(28\) | 4.32984 | + | 4.32984i | 0.818263 | + | 0.818263i | ||||
\(29\) | −6.05852 | + | 6.05852i | −1.12504 | + | 1.12504i | −0.134067 | + | 0.990972i | \(0.542804\pi\) |
−0.990972 | + | 0.134067i | \(0.957196\pi\) | |||||||
\(30\) | 7.01429 | + | 8.01666i | 1.28063 | + | 1.46364i | ||||
\(31\) | −2.30047 | + | 1.32818i | −0.413177 | + | 0.238548i | −0.692154 | − | 0.721750i | \(-0.743338\pi\) |
0.278977 | + | 0.960298i | \(0.410005\pi\) | |||||||
\(32\) | −4.46073 | + | 4.46073i | −0.788554 | + | 0.788554i | ||||
\(33\) | −5.30339 | − | 6.06127i | −0.923202 | − | 1.05513i | ||||
\(34\) | 1.40693 | − | 0.376985i | 0.241286 | − | 0.0646524i | ||||
\(35\) | −4.66197 | − | 2.69159i | −0.788017 | − | 0.454962i | ||||
\(36\) | 5.67501 | − | 7.36105i | 0.945835 | − | 1.22684i | ||||
\(37\) | −3.88246 | − | 6.72463i | −0.638273 | − | 1.10552i | −0.985812 | − | 0.167856i | \(-0.946316\pi\) |
0.347538 | − | 0.937666i | \(-0.387018\pi\) | |||||||
\(38\) | −3.27884 | − | 12.2368i | −0.531898 | − | 1.98507i | ||||
\(39\) | −8.84181 | + | 1.74828i | −1.41582 | + | 0.279949i | ||||
\(40\) | −3.37703 | + | 5.84919i | −0.533955 | + | 0.924838i | ||||
\(41\) | 5.56610 | − | 5.56610i | 0.869279 | − | 0.869279i | −0.123113 | − | 0.992393i | \(-0.539288\pi\) |
0.992393 | + | 0.123113i | \(0.0392879\pi\) | |||||||
\(42\) | −2.49285 | + | 7.31634i | −0.384656 | + | 1.12894i | ||||
\(43\) | 0.280617 | − | 1.04728i | 0.0427937 | − | 0.159708i | −0.941223 | − | 0.337787i | \(-0.890322\pi\) |
0.984016 | + | 0.178079i | \(0.0569883\pi\) | |||||||
\(44\) | 7.20322 | − | 12.4764i | 1.08593 | − | 1.88088i | ||||
\(45\) | −3.14417 | + | 7.54207i | −0.468705 | + | 1.12431i | ||||
\(46\) | −9.50621 | −1.40161 | ||||||||
\(47\) | −7.16378 | + | 4.13601i | −1.04494 | + | 0.603299i | −0.921230 | − | 0.389019i | \(-0.872814\pi\) |
−0.123715 | + | 0.992318i | \(0.539481\pi\) | |||||||
\(48\) | −0.979535 | − | 0.333751i | −0.141384 | − | 0.0481729i | ||||
\(49\) | 3.09386i | 0.441980i | ||||||||
\(50\) | 1.41350 | − | 5.27524i | 0.199898 | − | 0.746031i | ||||
\(51\) | 0.735747 | + | 0.840887i | 0.103025 | + | 0.117748i | ||||
\(52\) | −8.06104 | − | 13.9621i | −1.11787 | − | 1.93620i | ||||
\(53\) | −0.654755 | + | 2.44358i | −0.0899376 | + | 0.335652i | −0.996203 | − | 0.0870567i | \(-0.972254\pi\) |
0.906266 | + | 0.422708i | \(0.138921\pi\) | |||||||
\(54\) | 11.4992 | + | 2.32819i | 1.56484 | + | 0.316826i | ||||
\(55\) | −3.27797 | + | 12.2336i | −0.442002 | + | 1.64957i | ||||
\(56\) | −4.90088 | −0.654907 | ||||||||
\(57\) | 7.31363 | − | 6.39917i | 0.968714 | − | 0.847591i | ||||
\(58\) | − | 19.3460i | − | 2.54025i | ||||||
\(59\) | −1.29552 | + | 1.29552i | −0.168662 | + | 0.168662i | −0.786391 | − | 0.617729i | \(-0.788053\pi\) |
0.617729 | + | 0.786391i | \(0.288053\pi\) | |||||||
\(60\) | −14.5839 | − | 0.972557i | −1.88278 | − | 0.125557i | ||||
\(61\) | 13.3430 | − | 3.57525i | 1.70840 | − | 0.457764i | 0.733368 | − | 0.679832i | \(-0.237947\pi\) |
0.975031 | + | 0.222068i | \(0.0712805\pi\) | |||||||
\(62\) | 1.55236 | − | 5.79349i | 0.197150 | − | 0.735773i | ||||
\(63\) | −5.88021 | + | 0.760528i | −0.740837 | + | 0.0958176i | ||||
\(64\) | − | 13.0490i | − | 1.63113i | ||||||
\(65\) | 10.0221 | + | 10.0221i | 1.24309 | + | 1.24309i | ||||
\(66\) | 18.1447 | + | 1.21002i | 2.23346 | + | 0.148943i | ||||
\(67\) | −10.9325 | −1.33562 | −0.667811 | − | 0.744331i | \(-0.732769\pi\) | ||||
−0.667811 | + | 0.744331i | \(0.732769\pi\) | |||||||
\(68\) | −0.999313 | + | 1.73086i | −0.121184 | + | 0.209898i | ||||
\(69\) | −3.21781 | − | 6.54385i | −0.387379 | − | 0.787787i | ||||
\(70\) | 11.7407 | − | 3.14590i | 1.40328 | − | 0.376007i | ||||
\(71\) | −6.71764 | + | 3.87843i | −0.797237 | + | 0.460285i | −0.842504 | − | 0.538690i | \(-0.818919\pi\) |
0.0452671 | + | 0.998975i | \(0.485586\pi\) | |||||||
\(72\) | 0.954204 | + | 7.37766i | 0.112454 | + | 0.869466i | ||||
\(73\) | −7.69676 | + | 2.06234i | −0.900838 | + | 0.241379i | −0.679376 | − | 0.733790i | \(-0.737749\pi\) |
−0.221462 | + | 0.975169i | \(0.571083\pi\) | |||||||
\(74\) | 16.9352 | + | 4.53778i | 1.96868 | + | 0.527506i | ||||
\(75\) | 4.10981 | − | 0.812629i | 0.474560 | − | 0.0938343i | ||||
\(76\) | 15.0542 | + | 8.69154i | 1.72683 | + | 0.996988i | ||||
\(77\) | −8.87692 | + | 2.37856i | −1.01162 | + | 0.271062i | ||||
\(78\) | 11.3255 | − | 16.9081i | 1.28236 | − | 1.91446i | ||||
\(79\) | 4.80864 | − | 4.80864i | 0.541014 | − | 0.541014i | −0.382812 | − | 0.923826i | \(-0.625044\pi\) |
0.923826 | + | 0.382812i | \(0.125044\pi\) | |||||||
\(80\) | 0.421183 | + | 1.57188i | 0.0470897 | + | 0.175741i | ||||
\(81\) | 2.28976 | + | 8.70385i | 0.254418 | + | 0.967094i | ||||
\(82\) | 17.7736i | 1.96277i | ||||||||
\(83\) | −1.07444 | + | 4.00986i | −0.117935 | + | 0.440140i | −0.999490 | − | 0.0319423i | \(-0.989831\pi\) |
0.881555 | + | 0.472082i | \(0.156497\pi\) | |||||||
\(84\) | −4.68004 | − | 9.51747i | −0.510634 | − | 1.03844i | ||||
\(85\) | 0.454758 | − | 1.69718i | 0.0493254 | − | 0.184085i | ||||
\(86\) | 1.22404 | + | 2.12011i | 0.131992 | + | 0.228617i | ||||
\(87\) | 13.3173 | − | 6.54853i | 1.42777 | − | 0.702077i | ||||
\(88\) | 2.98429 | + | 11.1375i | 0.318126 | + | 1.18726i | ||||
\(89\) | 3.02683 | + | 1.74754i | 0.320843 | + | 0.185239i | 0.651768 | − | 0.758418i | \(-0.274027\pi\) |
−0.330925 | + | 0.943657i | \(0.607361\pi\) | |||||||
\(90\) | −7.02167 | − | 17.0616i | −0.740149 | − | 1.79845i | ||||
\(91\) | −2.66182 | + | 9.93405i | −0.279035 | + | 1.04137i | ||||
\(92\) | 9.22350 | − | 9.22350i | 0.961617 | − | 0.961617i | ||||
\(93\) | 4.51356 | − | 0.892463i | 0.468034 | − | 0.0925441i | ||||
\(94\) | 4.83412 | − | 18.0412i | 0.498601 | − | 1.86081i | ||||
\(95\) | −14.7612 | − | 3.95526i | −1.51447 | − | 0.405801i | ||||
\(96\) | 9.80519 | − | 4.82152i | 1.00074 | − | 0.492094i | ||||
\(97\) | 9.04604 | + | 2.42388i | 0.918486 | + | 0.246108i | 0.686938 | − | 0.726716i | \(-0.258954\pi\) |
0.231548 | + | 0.972823i | \(0.425621\pi\) | |||||||
\(98\) | −4.93963 | − | 4.93963i | −0.498978 | − | 0.498978i | ||||
\(99\) | 5.30897 | + | 12.9000i | 0.533572 | + | 1.29650i | ||||
\(100\) | 3.74689 | + | 6.48981i | 0.374689 | + | 0.648981i | ||||
\(101\) | − | 7.78595i | − | 0.774731i | −0.921926 | − | 0.387366i | \(-0.873385\pi\) | ||
0.921926 | − | 0.387366i | \(-0.126615\pi\) | |||||||
\(102\) | −2.51724 | − | 0.167867i | −0.249244 | − | 0.0166213i | ||||
\(103\) | 10.1525 | + | 10.1525i | 1.00035 | + | 1.00035i | 1.00000 | 0.000352195i | \(0.000112107\pi\) | |
0.000352195 | 1.00000i | \(0.499888\pi\) | ||||||||
\(104\) | 12.4638 | + | 3.33968i | 1.22218 | + | 0.327482i | ||||
\(105\) | 6.13972 | + | 7.01711i | 0.599175 | + | 0.684799i | ||||
\(106\) | −2.85603 | − | 4.94678i | −0.277402 | − | 0.480474i | ||||
\(107\) | −18.1296 | − | 4.85780i | −1.75265 | − | 0.469621i | −0.767462 | − | 0.641094i | \(-0.778481\pi\) |
−0.985189 | + | 0.171473i | \(0.945147\pi\) | |||||||
\(108\) | −13.4162 | + | 8.89827i | −1.29097 | + | 0.856236i | ||||
\(109\) | −2.47834 | + | 4.29261i | −0.237382 | + | 0.411157i | −0.959962 | − | 0.280130i | \(-0.909623\pi\) |
0.722580 | + | 0.691287i | \(0.242956\pi\) | |||||||
\(110\) | −14.2984 | − | 24.7656i | −1.36330 | − | 2.36131i | ||||
\(111\) | 2.60880 | + | 13.1938i | 0.247616 | + | 1.25230i | ||||
\(112\) | −0.834965 | + | 0.834965i | −0.0788968 | + | 0.0788968i | ||||
\(113\) | −2.91868 | − | 1.68510i | −0.274567 | − | 0.158521i | 0.356394 | − | 0.934336i | \(-0.384006\pi\) |
−0.630961 | + | 0.775814i | \(0.717339\pi\) | |||||||
\(114\) | −1.46003 | + | 21.8938i | −0.136744 | + | 2.05054i | ||||
\(115\) | −5.73368 | + | 9.93102i | −0.534668 | + | 0.926072i | ||||
\(116\) | 18.7707 | + | 18.7707i | 1.74281 | + | 1.74281i | ||||
\(117\) | 15.4727 | + | 2.07287i | 1.43045 | + | 0.191637i | ||||
\(118\) | − | 4.13684i | − | 0.380827i | ||||||
\(119\) | 1.23151 | − | 0.329981i | 0.112892 | − | 0.0302493i | ||||
\(120\) | 8.80408 | − | 7.70326i | 0.803699 | − | 0.703208i | ||||
\(121\) | 5.31082 | + | 9.19861i | 0.482802 | + | 0.836237i | ||||
\(122\) | −15.5952 | + | 27.0116i | −1.41192 | + | 2.44552i | ||||
\(123\) | −12.2349 | + | 6.01629i | −1.10319 | + | 0.542471i | ||||
\(124\) | 4.11500 | + | 7.12738i | 0.369538 | + | 0.640058i | ||||
\(125\) | 4.97144 | + | 4.97144i | 0.444659 | + | 0.444659i | ||||
\(126\) | 8.17405 | − | 10.6026i | 0.728202 | − | 0.944551i | ||||
\(127\) | 7.40524 | − | 4.27542i | 0.657109 | − | 0.379382i | −0.134066 | − | 0.990972i | \(-0.542803\pi\) |
0.791175 | + | 0.611590i | \(0.209470\pi\) | |||||||
\(128\) | 11.9125 | + | 11.9125i | 1.05293 | + | 1.05293i | ||||
\(129\) | −1.04510 | + | 1.56025i | −0.0920156 | + | 0.137372i | ||||
\(130\) | −32.0024 | −2.80680 | ||||||||
\(131\) | 8.62368 | + | 2.31071i | 0.753454 | + | 0.201887i | 0.615050 | − | 0.788488i | \(-0.289136\pi\) |
0.138404 | + | 0.990376i | \(0.455803\pi\) | |||||||
\(132\) | −18.7792 | + | 16.4311i | −1.63452 | + | 1.43014i | ||||
\(133\) | −2.87002 | − | 10.7110i | −0.248862 | − | 0.928766i | ||||
\(134\) | 17.4548 | − | 17.4548i | 1.50787 | − | 1.50787i | ||||
\(135\) | 9.36797 | − | 10.6088i | 0.806267 | − | 0.913062i | ||||
\(136\) | −0.414014 | − | 1.54512i | −0.0355014 | − | 0.132493i | ||||
\(137\) | −1.82121 | − | 6.79686i | −0.155597 | − | 0.580695i | −0.999054 | − | 0.0434977i | \(-0.986150\pi\) |
0.843457 | − | 0.537197i | \(-0.180517\pi\) | |||||||
\(138\) | 15.5854 | + | 5.31033i | 1.32672 | + | 0.452045i | ||||
\(139\) | 17.1953 | + | 4.60748i | 1.45849 | + | 0.390801i | 0.898968 | − | 0.438015i | \(-0.144318\pi\) |
0.559522 | + | 0.828816i | \(0.310985\pi\) | |||||||
\(140\) | −8.33915 | + | 14.4438i | −0.704787 | + | 1.22073i | ||||
\(141\) | 14.0554 | − | 2.77917i | 1.18368 | − | 0.234048i | ||||
\(142\) | 4.53306 | − | 16.9176i | 0.380406 | − | 1.41969i | ||||
\(143\) | 24.1965 | 2.02341 | ||||||||
\(144\) | 1.41950 | + | 1.09437i | 0.118292 | + | 0.0911973i | ||||
\(145\) | −20.2105 | − | 11.6685i | −1.67839 | − | 0.969020i | ||||
\(146\) | 8.99588 | − | 15.5813i | 0.744504 | − | 1.28952i | ||||
\(147\) | 1.72828 | − | 5.07237i | 0.142546 | − | 0.418362i | ||||
\(148\) | −20.8344 | + | 12.0287i | −1.71258 | + | 0.988756i | ||||
\(149\) | −8.54583 | + | 8.54583i | −0.700102 | + | 0.700102i | −0.964432 | − | 0.264330i | \(-0.914849\pi\) |
0.264330 | + | 0.964432i | \(0.414849\pi\) | |||||||
\(150\) | −5.26425 | + | 7.85913i | −0.429825 | + | 0.641695i | ||||
\(151\) | −2.57209 | + | 0.689189i | −0.209314 | + | 0.0560854i | −0.361952 | − | 0.932197i | \(-0.617890\pi\) |
0.152639 | + | 0.988282i | \(0.451223\pi\) | |||||||
\(152\) | −13.4387 | + | 3.60089i | −1.09002 | + | 0.292071i | ||||
\(153\) | −0.736520 | − | 1.78963i | −0.0595441 | − | 0.144683i | ||||
\(154\) | 10.3752 | − | 17.9704i | 0.836060 | − | 1.44810i | ||||
\(155\) | −5.11607 | − | 5.11607i | −0.410933 | − | 0.410933i | ||||
\(156\) | 5.41657 | + | 27.3939i | 0.433673 | + | 2.19327i | ||||
\(157\) | 9.58346 | + | 8.07201i | 0.764843 | + | 0.644217i | ||||
\(158\) | 15.3549i | 1.22157i | ||||||||
\(159\) | 2.43849 | − | 3.64048i | 0.193385 | − | 0.288709i | ||||
\(160\) | −14.8805 | − | 8.59125i | −1.17641 | − | 0.679198i | ||||
\(161\) | −8.32094 | −0.655782 | ||||||||
\(162\) | −17.5523 | − | 10.2407i | −1.37904 | − | 0.804585i | ||||
\(163\) | 1.70278 | + | 6.35486i | 0.133372 | + | 0.497751i | 0.999999 | − | 0.00120512i | \(-0.000383600\pi\) |
−0.866627 | + | 0.498956i | \(0.833717\pi\) | |||||||
\(164\) | −17.2450 | − | 17.2450i | −1.34661 | − | 1.34661i | ||||
\(165\) | 12.2081 | − | 18.2258i | 0.950399 | − | 1.41887i | ||||
\(166\) | −4.68668 | − | 8.11757i | −0.363757 | − | 0.630045i | ||||
\(167\) | 2.49267 | − | 4.31744i | 0.192889 | − | 0.334093i | −0.753318 | − | 0.657657i | \(-0.771548\pi\) |
0.946206 | + | 0.323564i | \(0.104881\pi\) | |||||||
\(168\) | 8.03497 | + | 2.73771i | 0.619912 | + | 0.211219i | ||||
\(169\) | 7.03901 | − | 12.1919i | 0.541462 | − | 0.937840i | ||||
\(170\) | 1.98364 | + | 3.43577i | 0.152138 | + | 0.263511i | ||||
\(171\) | −15.5654 | + | 6.40590i | −1.19031 | + | 0.489871i | ||||
\(172\) | −3.24470 | − | 0.869414i | −0.247406 | − | 0.0662922i | ||||
\(173\) | − | 22.9914i | − | 1.74800i | −0.485922 | − | 0.874002i | \(-0.661516\pi\) | ||
0.485922 | − | 0.874002i | \(-0.338484\pi\) | |||||||
\(174\) | −10.8070 | + | 31.7177i | −0.819276 | + | 2.40451i | ||||
\(175\) | 1.23725 | − | 4.61750i | 0.0935277 | − | 0.349050i | ||||
\(176\) | 2.40594 | + | 1.38907i | 0.181354 | + | 0.104705i | ||||
\(177\) | 2.84770 | − | 1.40030i | 0.214046 | − | 0.105253i | ||||
\(178\) | −7.62273 | + | 2.04251i | −0.571348 | + | 0.153092i | ||||
\(179\) | −2.15621 | − | 8.04708i | −0.161163 | − | 0.601467i | −0.998499 | − | 0.0547784i | \(-0.982555\pi\) |
0.837336 | − | 0.546689i | \(-0.184112\pi\) | |||||||
\(180\) | 23.3670 | + | 9.74133i | 1.74168 | + | 0.726076i | ||||
\(181\) | −23.6117 | + | 6.32673i | −1.75504 | + | 0.470262i | −0.985691 | − | 0.168563i | \(-0.946087\pi\) |
−0.769352 | + | 0.638825i | \(0.779421\pi\) | |||||||
\(182\) | −11.6108 | − | 20.1105i | −0.860649 | − | 1.49069i | ||||
\(183\) | −23.8730 | − | 1.59202i | −1.76475 | − | 0.117685i | ||||
\(184\) | 10.4399i | 0.769643i | ||||||||
\(185\) | 14.9550 | − | 14.9550i | 1.09952 | − | 1.09952i | ||||
\(186\) | −5.78142 | + | 8.63122i | −0.423914 | + | 0.632872i | ||||
\(187\) | −1.49980 | − | 2.59773i | −0.109676 | − | 0.189965i | ||||
\(188\) | 12.8143 | + | 22.1950i | 0.934578 | + | 1.61874i | ||||
\(189\) | 10.0654 | + | 2.03790i | 0.732152 | + | 0.148235i | ||||
\(190\) | 29.8827 | − | 17.2528i | 2.16792 | − | 1.25165i | ||||
\(191\) | −2.41042 | − | 8.99582i | −0.174412 | − | 0.650915i | −0.996651 | − | 0.0817723i | \(-0.973942\pi\) |
0.822239 | − | 0.569142i | \(-0.192725\pi\) | |||||||
\(192\) | −7.28940 | + | 21.3938i | −0.526067 | + | 1.54397i | ||||
\(193\) | 10.2193 | − | 5.90011i | 0.735601 | − | 0.424700i | −0.0848666 | − | 0.996392i | \(-0.527046\pi\) |
0.820468 | + | 0.571693i | \(0.193713\pi\) | |||||||
\(194\) | −18.3128 | + | 10.5729i | −1.31478 | + | 0.759090i | ||||
\(195\) | −10.8327 | − | 22.0297i | −0.775744 | − | 1.57758i | ||||
\(196\) | 9.58546 | 0.684676 | ||||||||
\(197\) | 11.9259 | + | 6.88543i | 0.849686 | + | 0.490566i | 0.860545 | − | 0.509375i | \(-0.170123\pi\) |
−0.0108588 | + | 0.999941i | \(0.503457\pi\) | |||||||
\(198\) | −29.0723 | − | 12.1198i | −2.06608 | − | 0.861314i | ||||
\(199\) | −19.2885 | − | 11.1362i | −1.36733 | − | 0.789426i | −0.376740 | − | 0.926319i | \(-0.622955\pi\) |
−0.990586 | + | 0.136894i | \(0.956288\pi\) | |||||||
\(200\) | −5.79339 | − | 1.55233i | −0.409654 | − | 0.109767i | ||||
\(201\) | 17.9239 | + | 6.10709i | 1.26425 | + | 0.430761i | ||||
\(202\) | 12.4310 | + | 12.4310i | 0.874642 | + | 0.874642i | ||||
\(203\) | − | 16.9338i | − | 1.18852i | ||||||
\(204\) | 2.60526 | − | 2.27951i | 0.182404 | − | 0.159597i | ||||
\(205\) | 18.5679 | + | 10.7202i | 1.29684 | + | 0.748728i | ||||
\(206\) | −32.4187 | −2.25872 | ||||||||
\(207\) | 1.62009 | + | 12.5261i | 0.112604 | + | 0.870626i | ||||
\(208\) | 2.69245 | − | 1.55449i | 0.186688 | − | 0.107784i | ||||
\(209\) | −22.5938 | + | 13.0445i | −1.56285 | + | 0.902309i | ||||
\(210\) | −21.0061 | − | 1.40083i | −1.44956 | − | 0.0966665i | ||||
\(211\) | −8.99810 | + | 8.99810i | −0.619455 | + | 0.619455i | −0.945392 | − | 0.325937i | \(-0.894320\pi\) |
0.325937 | + | 0.945392i | \(0.394320\pi\) | |||||||
\(212\) | 7.57076 | + | 2.02858i | 0.519962 | + | 0.139323i | ||||
\(213\) | 13.1801 | − | 2.60609i | 0.903085 | − | 0.178566i | ||||
\(214\) | 36.7015 | − | 21.1896i | 2.50886 | − | 1.44849i | ||||
\(215\) | 2.95313 | 0.201402 | ||||||||
\(216\) | 2.55687 | − | 12.6287i | 0.173973 | − | 0.859273i | ||||
\(217\) | 1.35880 | − | 5.07113i | 0.0922417 | − | 0.344251i | ||||
\(218\) | −2.89665 | − | 10.8105i | −0.196186 | − | 0.732176i | ||||
\(219\) | 13.7709 | + | 0.918336i | 0.930549 | + | 0.0620554i | ||||
\(220\) | 37.9023 | + | 10.1559i | 2.55537 | + | 0.684710i | ||||
\(221\) | −3.35681 | −0.225804 | ||||||||
\(222\) | −25.2303 | − | 16.9000i | −1.69335 | − | 1.13425i | ||||
\(223\) | −15.1807 | − | 4.06765i | −1.01657 | − | 0.272390i | −0.288200 | − | 0.957570i | \(-0.593057\pi\) |
−0.728373 | + | 0.685180i | \(0.759723\pi\) | |||||||
\(224\) | − | 12.4680i | − | 0.833050i | ||||||
\(225\) | −7.19196 | − | 0.963503i | −0.479464 | − | 0.0642335i | ||||
\(226\) | 7.35038 | − | 1.96953i | 0.488940 | − | 0.131011i | ||||
\(227\) | 0.392404 | + | 1.46447i | 0.0260448 | + | 0.0972005i | 0.977725 | − | 0.209891i | \(-0.0673109\pi\) |
−0.951680 | + | 0.307091i | \(0.900644\pi\) | |||||||
\(228\) | −19.8261 | − | 22.6593i | −1.31301 | − | 1.50065i | ||||
\(229\) | 6.44473 | + | 1.72686i | 0.425879 | + | 0.114114i | 0.465391 | − | 0.885105i | \(-0.345914\pi\) |
−0.0395118 | + | 0.999219i | \(0.512580\pi\) | |||||||
\(230\) | −6.70145 | − | 25.0102i | −0.441881 | − | 1.64912i | ||||
\(231\) | 15.8824 | + | 1.05915i | 1.04498 | + | 0.0696866i | ||||
\(232\) | −21.2462 | −1.39488 | ||||||||
\(233\) | −0.180566 | + | 0.312750i | −0.0118293 | + | 0.0204889i | −0.871879 | − | 0.489721i | \(-0.837099\pi\) |
0.860050 | + | 0.510209i | \(0.170432\pi\) | |||||||
\(234\) | −28.0132 | + | 21.3941i | −1.83128 | + | 1.39858i | ||||
\(235\) | −15.9317 | − | 15.9317i | −1.03927 | − | 1.03927i | ||||
\(236\) | 4.01381 | + | 4.01381i | 0.261277 | + | 0.261277i | ||||
\(237\) | −10.5699 | + | 5.19756i | −0.686591 | + | 0.337618i | ||||
\(238\) | −1.43937 | + | 2.49306i | −0.0933004 | + | 0.161601i | ||||
\(239\) | −17.5188 | −1.13320 | −0.566599 | − | 0.823993i | \(-0.691741\pi\) | ||||
−0.566599 | + | 0.823993i | \(0.691741\pi\) | |||||||
\(240\) | 0.187548 | − | 2.81236i | 0.0121061 | − | 0.181537i | ||||
\(241\) | 2.04719 | + | 7.64023i | 0.131871 | + | 0.492150i | 0.999991 | − | 0.00420434i | \(-0.00133829\pi\) |
−0.868120 | + | 0.496355i | \(0.834672\pi\) | |||||||
\(242\) | −23.1657 | − | 6.20722i | −1.48915 | − | 0.399015i | ||||
\(243\) | 1.10806 | − | 15.5490i | 0.0710818 | − | 0.997470i | ||||
\(244\) | −11.0769 | − | 41.3397i | −0.709128 | − | 2.64650i | ||||
\(245\) | −8.13971 | + | 2.18103i | −0.520027 | + | 0.139341i | ||||
\(246\) | 9.92863 | − | 29.1398i | 0.633026 | − | 1.85788i | ||||
\(247\) | 29.1959i | 1.85769i | ||||||||
\(248\) | −6.36254 | − | 1.70484i | −0.404022 | − | 0.108257i | ||||
\(249\) | 4.00152 | − | 5.97396i | 0.253586 | − | 0.378584i | ||||
\(250\) | −15.8747 | −1.00401 | ||||||||
\(251\) | 22.5901 | + | 6.05299i | 1.42587 | + | 0.382062i | 0.887563 | − | 0.460685i | \(-0.152396\pi\) |
0.538310 | + | 0.842747i | \(0.319063\pi\) | |||||||
\(252\) | 2.35629 | + | 18.2182i | 0.148432 | + | 1.14764i | ||||
\(253\) | 5.06686 | + | 18.9098i | 0.318551 | + | 1.18885i | ||||
\(254\) | −4.99706 | + | 18.6493i | −0.313543 | + | 1.17016i | ||||
\(255\) | −1.69365 | + | 2.52848i | −0.106060 | + | 0.158340i | ||||
\(256\) | −11.9409 | −0.746307 | ||||||||
\(257\) | −5.78201 | + | 3.33825i | −0.360672 | + | 0.208234i | −0.669376 | − | 0.742924i | \(-0.733438\pi\) |
0.308703 | + | 0.951158i | \(0.400105\pi\) | |||||||
\(258\) | −0.822490 | − | 4.15968i | −0.0512060 | − | 0.258970i | ||||
\(259\) | 14.8237 | + | 3.97199i | 0.921097 | + | 0.246807i | ||||
\(260\) | 31.0507 | − | 31.0507i | 1.92568 | − | 1.92568i | ||||
\(261\) | −25.4918 | + | 3.29703i | −1.57790 | + | 0.204081i | ||||
\(262\) | −17.4578 | + | 10.0792i | −1.07854 | + | 0.622698i | ||||
\(263\) | 19.5169 | − | 11.2681i | 1.20346 | − | 0.694818i | 0.242138 | − | 0.970242i | \(-0.422151\pi\) |
0.961323 | + | 0.275424i | \(0.0888181\pi\) | |||||||
\(264\) | 1.32887 | − | 19.9270i | 0.0817861 | − | 1.22642i | ||||
\(265\) | −6.89045 | −0.423277 | ||||||||
\(266\) | 21.6834 | + | 12.5189i | 1.32950 | + | 0.767586i | ||||
\(267\) | −3.98627 | − | 4.55592i | −0.243956 | − | 0.278818i | ||||
\(268\) | 33.8714i | 2.06903i | ||||||||
\(269\) | 6.81407 | + | 6.81407i | 0.415461 | + | 0.415461i | 0.883636 | − | 0.468175i | \(-0.155088\pi\) |
−0.468175 | + | 0.883636i | \(0.655088\pi\) | |||||||
\(270\) | 1.98113 | + | 31.8948i | 0.120567 | + | 1.94106i | ||||
\(271\) | 8.70980 | + | 2.33378i | 0.529082 | + | 0.141767i | 0.513465 | − | 0.858111i | \(-0.328362\pi\) |
0.0156179 | + | 0.999878i | \(0.495028\pi\) | |||||||
\(272\) | −0.333779 | − | 0.192707i | −0.0202383 | − | 0.0116846i | ||||
\(273\) | 9.91336 | − | 14.7999i | 0.599984 | − | 0.895730i | ||||
\(274\) | 13.7596 | + | 7.94408i | 0.831245 | + | 0.479919i | ||||
\(275\) | −11.2469 | −0.678214 | ||||||||
\(276\) | −20.2743 | + | 9.96950i | −1.22037 | + | 0.600093i | ||||
\(277\) | 3.74046 | − | 2.15955i | 0.224742 | − | 0.129755i | −0.383402 | − | 0.923582i | \(-0.625248\pi\) |
0.608144 | + | 0.793827i | \(0.291914\pi\) | |||||||
\(278\) | −34.8102 | + | 20.0977i | −2.08778 | + | 1.20538i | ||||
\(279\) | −7.89851 | − | 1.05816i | −0.472871 | − | 0.0633503i | ||||
\(280\) | −3.45490 | − | 12.8939i | −0.206470 | − | 0.770555i | ||||
\(281\) | 8.76932 | − | 5.06297i | 0.523134 | − | 0.302031i | −0.215082 | − | 0.976596i | \(-0.569002\pi\) |
0.738216 | + | 0.674565i | \(0.235669\pi\) | |||||||
\(282\) | −18.0036 | + | 26.8780i | −1.07210 | + | 1.60056i | ||||
\(283\) | 9.48136 | + | 16.4222i | 0.563609 | + | 0.976199i | 0.997178 | + | 0.0750783i | \(0.0239207\pi\) |
−0.433569 | + | 0.901120i | \(0.642746\pi\) | |||||||
\(284\) | 12.0162 | + | 20.8127i | 0.713033 | + | 1.23501i | ||||
\(285\) | 21.9915 | + | 14.7305i | 1.30267 | + | 0.872560i | ||||
\(286\) | −38.6320 | + | 38.6320i | −2.28436 | + | 2.28436i | ||||
\(287\) | 15.5575i | 0.918331i | ||||||||
\(288\) | −18.7690 | + | 2.42752i | −1.10597 | + | 0.143043i | ||||
\(289\) | −8.29193 | − | 14.3620i | −0.487761 | − | 0.844826i | ||||
\(290\) | 50.8979 | − | 13.6381i | 2.98883 | − | 0.800854i | ||||
\(291\) | −13.4769 | − | 9.02720i | −0.790032 | − | 0.529184i | ||||
\(292\) | 6.38959 | + | 23.8463i | 0.373923 | + | 1.39550i | ||||
\(293\) | −21.5111 | + | 5.76389i | −1.25669 | + | 0.336730i | −0.824918 | − | 0.565252i | \(-0.808779\pi\) |
−0.431774 | + | 0.901982i | \(0.642112\pi\) | |||||||
\(294\) | 5.33915 | + | 10.8579i | 0.311386 | + | 0.633244i | ||||
\(295\) | −4.32170 | − | 2.49513i | −0.251619 | − | 0.145272i | ||||
\(296\) | 4.98349 | − | 18.5986i | 0.289660 | − | 1.08102i | ||||
\(297\) | −1.49790 | − | 24.1152i | −0.0869168 | − | 1.39930i | ||||
\(298\) | − | 27.2884i | − | 1.58078i | ||||||
\(299\) | 21.1617 | + | 5.67026i | 1.22381 | + | 0.327919i | ||||
\(300\) | −2.51771 | − | 12.7331i | −0.145360 | − | 0.735146i | ||||
\(301\) | 1.07142 | + | 1.85576i | 0.0617559 | + | 0.106964i | ||||
\(302\) | 3.00623 | − | 5.20694i | 0.172989 | − | 0.299626i | ||||
\(303\) | −4.34936 | + | 12.7650i | −0.249864 | + | 0.733332i | ||||
\(304\) | −1.67608 | + | 2.90305i | −0.0961295 | + | 0.166501i | ||||
\(305\) | 18.8125 | + | 32.5841i | 1.07720 | + | 1.86576i | ||||
\(306\) | 4.03324 | + | 1.68139i | 0.230565 | + | 0.0961187i | ||||
\(307\) | 7.99553 | + | 7.99553i | 0.456329 | + | 0.456329i | 0.897448 | − | 0.441120i | \(-0.145419\pi\) |
−0.441120 | + | 0.897448i | \(0.645419\pi\) | |||||||
\(308\) | 7.36932 | + | 27.5027i | 0.419906 | + | 1.56711i | ||||
\(309\) | −10.9736 | − | 22.3163i | −0.624266 | − | 1.26953i | ||||
\(310\) | 16.3366 | 0.927855 | ||||||||
\(311\) | −9.95010 | − | 5.74469i | −0.564218 | − | 0.325751i | 0.190619 | − | 0.981664i | \(-0.438951\pi\) |
−0.754837 | + | 0.655913i | \(0.772284\pi\) | |||||||
\(312\) | −18.5688 | − | 12.4379i | −1.05125 | − | 0.704157i | ||||
\(313\) | 17.6463i | 0.997427i | 0.866767 | + | 0.498714i | \(0.166194\pi\) | ||||
−0.866767 | + | 0.498714i | \(0.833806\pi\) | |||||||
\(314\) | −28.1886 | + | 2.41316i | −1.59078 | + | 0.136183i | ||||
\(315\) | −6.14618 | − | 14.9343i | −0.346298 | − | 0.841451i | ||||
\(316\) | −14.8982 | − | 14.8982i | −0.838091 | − | 0.838091i | ||||
\(317\) | −14.0234 | + | 24.2892i | −0.787631 | + | 1.36422i | 0.139784 | + | 0.990182i | \(0.455359\pi\) |
−0.927415 | + | 0.374035i | \(0.877974\pi\) | |||||||
\(318\) | 1.91909 | + | 9.70566i | 0.107617 | + | 0.544266i | ||||
\(319\) | −38.4831 | + | 10.3115i | −2.15464 | + | 0.577334i | ||||
\(320\) | 34.3311 | − | 9.19898i | 1.91916 | − | 0.514239i | ||||
\(321\) | 27.0097 | + | 18.0918i | 1.50753 | + | 1.00979i | ||||
\(322\) | 13.2852 | − | 13.2852i | 0.740353 | − | 0.740353i | ||||
\(323\) | 3.13447 | − | 1.80968i | 0.174406 | − | 0.100694i | ||||
\(324\) | 26.9665 | − | 7.09419i | 1.49814 | − | 0.394122i | ||||
\(325\) | −6.29314 | + | 10.9000i | −0.349080 | + | 0.604625i | ||||
\(326\) | −12.8648 | − | 7.42748i | −0.712514 | − | 0.411370i | ||||
\(327\) | 6.46115 | − | 5.65328i | 0.357302 | − | 0.312627i | ||||
\(328\) | 19.5194 | 1.07778 | ||||||||
\(329\) | 4.23138 | − | 15.7917i | 0.233283 | − | 0.870626i | ||||
\(330\) | 9.60776 | + | 48.5905i | 0.528890 | + | 2.67482i | ||||
\(331\) | 15.5519 | − | 26.9368i | 0.854812 | − | 1.48058i | −0.0220067 | − | 0.999758i | \(-0.507006\pi\) |
0.876819 | − | 0.480821i | \(-0.159661\pi\) | |||||||
\(332\) | 12.4235 | + | 3.32885i | 0.681826 | + | 0.182695i | ||||
\(333\) | 3.09316 | − | 23.0885i | 0.169504 | − | 1.26524i | ||||
\(334\) | 2.91341 | + | 10.8730i | 0.159415 | + | 0.594943i | ||||
\(335\) | −7.70694 | − | 28.7627i | −0.421075 | − | 1.57147i | ||||
\(336\) | 1.83535 | − | 0.902497i | 0.100126 | − | 0.0492353i | ||||
\(337\) | 12.4344 | − | 12.4344i | 0.677346 | − | 0.677346i | −0.282053 | − | 0.959399i | \(-0.591015\pi\) |
0.959399 | + | 0.282053i | \(0.0910154\pi\) | |||||||
\(338\) | 8.22710 | + | 30.7040i | 0.447495 | + | 1.67008i | ||||
\(339\) | 3.84385 | + | 4.39315i | 0.208769 | + | 0.238603i | ||||
\(340\) | −5.25824 | − | 1.40894i | −0.285168 | − | 0.0764105i | ||||
\(341\) | −12.3518 | −0.668889 | ||||||||
\(342\) | 14.6239 | − | 35.0792i | 0.790771 | − | 1.89686i | ||||
\(343\) | −14.1064 | − | 14.1064i | −0.761674 | − | 0.761674i | ||||
\(344\) | 2.32835 | − | 1.34427i | 0.125536 | − | 0.0724783i | ||||
\(345\) | 14.9480 | − | 13.0789i | 0.804772 | − | 0.704147i | ||||
\(346\) | 36.7079 | + | 36.7079i | 1.97343 | + | 1.97343i | ||||
\(347\) | 7.80575 | + | 13.5200i | 0.419035 | + | 0.725789i | 0.995843 | − | 0.0910904i | \(-0.0290352\pi\) |
−0.576808 | + | 0.816880i | \(0.695702\pi\) | |||||||
\(348\) | −20.2888 | − | 41.2600i | −1.08759 | − | 2.21177i | ||||
\(349\) | 0.997117 | − | 1.72706i | 0.0533745 | − | 0.0924473i | −0.838104 | − | 0.545511i | \(-0.816336\pi\) |
0.891478 | + | 0.453064i | \(0.149669\pi\) | |||||||
\(350\) | 5.39687 | + | 9.34766i | 0.288475 | + | 0.499653i | ||||
\(351\) | −24.2095 | − | 12.0418i | −1.29221 | − | 0.642743i | ||||
\(352\) | −28.3341 | + | 7.59210i | −1.51021 | + | 0.404660i | ||||
\(353\) | − | 11.6157i | − | 0.618244i | −0.951022 | − | 0.309122i | \(-0.899965\pi\) | ||
0.951022 | − | 0.309122i | \(-0.100035\pi\) | |||||||
\(354\) | −2.31090 | + | 6.78233i | −0.122823 | + | 0.360477i | ||||
\(355\) | −14.9395 | − | 14.9395i | −0.792906 | − | 0.792906i | ||||
\(356\) | 5.41427 | − | 9.37780i | 0.286956 | − | 0.497022i | ||||
\(357\) | −2.20338 | − | 0.146937i | −0.116615 | − | 0.00777671i | ||||
\(358\) | 16.2905 | + | 9.40533i | 0.860980 | + | 0.497087i | ||||
\(359\) | 15.0789 | − | 15.0789i | 0.795835 | − | 0.795835i | −0.186600 | − | 0.982436i | \(-0.559747\pi\) |
0.982436 | + | 0.186600i | \(0.0597470\pi\) | |||||||
\(360\) | −18.7374 | + | 7.71136i | −0.987549 | + | 0.406424i | ||||
\(361\) | −6.23977 | − | 10.8076i | −0.328409 | − | 0.568821i | ||||
\(362\) | 27.5970 | − | 47.7995i | 1.45047 | − | 2.51229i | ||||
\(363\) | −3.56858 | − | 18.0478i | −0.187302 | − | 0.947264i | ||||
\(364\) | 30.7779 | + | 8.24691i | 1.61320 | + | 0.432256i | ||||
\(365\) | −10.8517 | − | 18.7958i | −0.568006 | − | 0.983815i | ||||
\(366\) | 40.6573 | − | 35.5737i | 2.12519 | − | 1.85947i | ||||
\(367\) | −4.91062 | − | 1.31580i | −0.256332 | − | 0.0686840i | 0.128364 | − | 0.991727i | \(-0.459027\pi\) |
−0.384697 | + | 0.923043i | \(0.625694\pi\) | |||||||
\(368\) | 1.77866 | + | 1.77866i | 0.0927190 | + | 0.0927190i | ||||
\(369\) | 23.4199 | − | 3.02906i | 1.21919 | − | 0.157686i | ||||
\(370\) | 47.7542i | 2.48262i | ||||||||
\(371\) | −2.49992 | − | 4.33000i | −0.129790 | − | 0.224802i | ||||
\(372\) | −2.76505 | − | 13.9840i | −0.143361 | − | 0.725038i | ||||
\(373\) | 0.549281 | + | 0.549281i | 0.0284407 | + | 0.0284407i | 0.721184 | − | 0.692743i | \(-0.243598\pi\) |
−0.692743 | + | 0.721184i | \(0.743598\pi\) | |||||||
\(374\) | 6.54209 | + | 1.75295i | 0.338283 | + | 0.0906427i | ||||
\(375\) | −5.37353 | − | 10.9278i | −0.277488 | − | 0.564308i | ||||
\(376\) | −19.8132 | − | 5.30894i | −1.02179 | − | 0.273788i | ||||
\(377\) | −11.5395 | + | 43.0659i | −0.594314 | + | 2.21801i | ||||
\(378\) | −19.3241 | + | 12.8167i | −0.993924 | + | 0.659220i | ||||
\(379\) | 9.97830 | − | 9.97830i | 0.512551 | − | 0.512551i | −0.402756 | − | 0.915307i | \(-0.631948\pi\) |
0.915307 | + | 0.402756i | \(0.131948\pi\) | |||||||
\(380\) | −12.2543 | + | 45.7336i | −0.628632 | + | 2.34609i | ||||
\(381\) | −14.5292 | + | 2.87284i | −0.744353 | + | 0.147180i | ||||
\(382\) | 18.2111 | + | 10.5142i | 0.931763 | + | 0.537953i | ||||
\(383\) | 6.07272 | + | 22.6637i | 0.310302 | + | 1.15806i | 0.928285 | + | 0.371870i | \(0.121283\pi\) |
−0.617983 | + | 0.786191i | \(0.712050\pi\) | |||||||
\(384\) | −12.8760 | − | 26.1851i | −0.657077 | − | 1.33625i | ||||
\(385\) | −12.5156 | − | 21.6777i | −0.637857 | − | 1.10480i | ||||
\(386\) | −6.89598 | + | 25.7362i | −0.350996 | + | 1.30994i | ||||
\(387\) | 2.58501 | − | 1.97421i | 0.131403 | − | 0.100355i | ||||
\(388\) | 7.50972 | − | 28.0266i | 0.381248 | − | 1.42284i | ||||
\(389\) | 17.4515i | 0.884825i | 0.896812 | + | 0.442412i | \(0.145877\pi\) | ||||
−0.896812 | + | 0.442412i | \(0.854123\pi\) | |||||||
\(390\) | 52.4678 | + | 17.8771i | 2.65681 | + | 0.905241i | ||||
\(391\) | −0.702932 | − | 2.62338i | −0.0355488 | − | 0.132670i | ||||
\(392\) | −5.42482 | + | 5.42482i | −0.273995 | + | 0.273995i | ||||
\(393\) | −12.8477 | − | 8.60572i | −0.648080 | − | 0.434101i | ||||
\(394\) | −30.0341 | + | 8.04760i | −1.51309 | + | 0.405432i | ||||
\(395\) | 16.0411 | + | 9.26131i | 0.807113 | + | 0.465987i | ||||
\(396\) | 39.9670 | − | 16.4484i | 2.00842 | − | 0.826562i | ||||
\(397\) | 23.9523 | + | 6.41799i | 1.20213 | + | 0.322110i | 0.803669 | − | 0.595076i | \(-0.202878\pi\) |
0.398460 | + | 0.917186i | \(0.369545\pi\) | |||||||
\(398\) | 48.5759 | − | 13.0159i | 2.43489 | − | 0.652427i | ||||
\(399\) | −1.27798 | + | 19.1640i | −0.0639792 | + | 0.959398i | ||||
\(400\) | −1.25149 | + | 0.722550i | −0.0625747 | + | 0.0361275i | ||||
\(401\) | 12.2236 | − | 3.27530i | 0.610416 | − | 0.163561i | 0.0596489 | − | 0.998219i | \(-0.481002\pi\) |
0.550767 | + | 0.834659i | \(0.314335\pi\) | |||||||
\(402\) | −38.3677 | + | 18.8666i | −1.91360 | + | 0.940979i | ||||
\(403\) | −6.91139 | + | 11.9709i | −0.344281 | + | 0.596312i | ||||
\(404\) | −24.1226 | −1.20015 | ||||||||
\(405\) | −21.2850 | + | 12.1600i | −1.05766 | + | 0.604236i | ||||
\(406\) | 27.0365 | + | 27.0365i | 1.34180 | + | 1.34180i | ||||
\(407\) | − | 36.1062i | − | 1.78972i | ||||||
\(408\) | −0.184355 | + | 2.76449i | −0.00912695 | + | 0.136863i | ||||
\(409\) | 6.62390 | − | 24.7207i | 0.327531 | − | 1.22236i | −0.584212 | − | 0.811601i | \(-0.698596\pi\) |
0.911743 | − | 0.410761i | \(-0.134737\pi\) | |||||||
\(410\) | −46.7611 | + | 12.5296i | −2.30936 | + | 0.618792i | ||||
\(411\) | −0.810964 | + | 12.1608i | −0.0400019 | + | 0.599847i | ||||
\(412\) | 31.4546 | − | 31.4546i | 1.54966 | − | 1.54966i | ||||
\(413\) | − | 3.62104i | − | 0.178180i | ||||||
\(414\) | −22.5858 | − | 17.4125i | −1.11003 | − | 0.855779i | ||||
\(415\) | −11.3071 | −0.555043 | ||||||||
\(416\) | −8.49622 | + | 31.7083i | −0.416562 | + | 1.55463i | ||||
\(417\) | −25.6179 | − | 17.1595i | −1.25451 | − | 0.840306i | ||||
\(418\) | 15.2463 | − | 56.8999i | 0.745720 | − | 2.78307i | ||||
\(419\) | 0.636517 | + | 1.10248i | 0.0310959 | + | 0.0538597i | 0.881155 | − | 0.472828i | \(-0.156767\pi\) |
−0.850059 | + | 0.526688i | \(0.823434\pi\) | |||||||
\(420\) | 21.7406 | − | 19.0222i | 1.06083 | − | 0.928189i | ||||
\(421\) | −5.51047 | + | 20.5654i | −0.268564 | + | 1.00229i | 0.691469 | + | 0.722406i | \(0.256964\pi\) |
−0.960033 | + | 0.279888i | \(0.909703\pi\) | |||||||
\(422\) | − | 28.7326i | − | 1.39868i | ||||||
\(423\) | −24.5963 | − | 3.29516i | −1.19591 | − | 0.160216i | ||||
\(424\) | −5.43267 | + | 3.13655i | −0.263834 | + | 0.152325i | ||||
\(425\) | 1.56030 | 0.0756856 | ||||||||
\(426\) | −16.8824 | + | 25.2041i | −0.817955 | + | 1.22114i | ||||
\(427\) | −13.6507 | + | 23.6437i | −0.660603 | + | 1.14420i | ||||
\(428\) | −15.0506 | + | 56.1694i | −0.727496 | + | 2.71505i | ||||
\(429\) | −39.6701 | − | 13.5166i | −1.91529 | − | 0.652586i | ||||
\(430\) | −4.71495 | + | 4.71495i | −0.227375 | + | 0.227375i | ||||
\(431\) | −10.0318 | + | 17.3755i | −0.483212 | + | 0.836948i | −0.999814 | − | 0.0192774i | \(-0.993863\pi\) |
0.516602 | + | 0.856226i | \(0.327197\pi\) | |||||||
\(432\) | −1.71594 | − | 2.58717i | −0.0825582 | − | 0.124475i | ||||
\(433\) | 4.66270 | + | 17.4014i | 0.224075 | + | 0.836260i | 0.982773 | + | 0.184817i | \(0.0591693\pi\) |
−0.758698 | + | 0.651443i | \(0.774164\pi\) | |||||||
\(434\) | 5.92707 | + | 10.2660i | 0.284509 | + | 0.492783i | ||||
\(435\) | 26.6168 | + | 30.4205i | 1.27618 | + | 1.45855i | ||||
\(436\) | 13.2995 | + | 7.67845i | 0.636929 | + | 0.367731i | ||||
\(437\) | −22.8169 | + | 6.11376i | −1.09148 | + | 0.292461i | ||||
\(438\) | −23.4527 | + | 20.5203i | −1.12061 | + | 0.980496i | ||||
\(439\) | 15.3273 | − | 15.3273i | 0.731530 | − | 0.731530i | −0.239393 | − | 0.970923i | \(-0.576948\pi\) |
0.970923 | + | 0.239393i | \(0.0769483\pi\) | |||||||
\(440\) | −27.1982 | + | 15.7029i | −1.29662 | + | 0.748605i | ||||
\(441\) | −5.66701 | + | 7.35068i | −0.269858 | + | 0.350033i | ||||
\(442\) | 5.35947 | − | 5.35947i | 0.254924 | − | 0.254924i | ||||
\(443\) | −1.59972 | − | 1.59972i | −0.0760049 | − | 0.0760049i | 0.668082 | − | 0.744087i | \(-0.267115\pi\) |
−0.744087 | + | 0.668082i | \(0.767115\pi\) | |||||||
\(444\) | 40.8774 | − | 8.08265i | 1.93995 | − | 0.383585i | ||||
\(445\) | −2.46388 | + | 9.19531i | −0.116799 | + | 0.435899i | ||||
\(446\) | 30.7318 | − | 17.7430i | 1.45519 | − | 0.840155i | ||||
\(447\) | 18.7847 | − | 9.23702i | 0.888486 | − | 0.436896i | ||||
\(448\) | 18.2363 | + | 18.2363i | 0.861586 | + | 0.861586i | ||||
\(449\) | 21.6345 | − | 5.79694i | 1.02099 | − | 0.273574i | 0.290777 | − | 0.956791i | \(-0.406086\pi\) |
0.730216 | + | 0.683216i | \(0.239419\pi\) | |||||||
\(450\) | 13.0210 | − | 9.94432i | 0.613814 | − | 0.468780i | ||||
\(451\) | 35.3553 | − | 9.47342i | 1.66482 | − | 0.446086i | ||||
\(452\) | −5.22083 | + | 9.04274i | −0.245567 | + | 0.425335i | ||||
\(453\) | 4.60192 | + | 0.306888i | 0.216217 | + | 0.0144188i | ||||
\(454\) | −2.96468 | − | 1.71166i | −0.139139 | − | 0.0803321i | ||||
\(455\) | −28.0122 | −1.31323 | ||||||||
\(456\) | 24.0442 | + | 1.60343i | 1.12597 | + | 0.0750877i | ||||
\(457\) | − | 21.9552i | − | 1.02702i | −0.858083 | − | 0.513511i | \(-0.828344\pi\) | ||
0.858083 | − | 0.513511i | \(-0.171656\pi\) | |||||||
\(458\) | −13.0467 | + | 7.53252i | −0.609632 | + | 0.351971i | ||||
\(459\) | 0.207805 | + | 3.34553i | 0.00969952 | + | 0.156156i | ||||
\(460\) | 30.7685 | + | 17.7642i | 1.43459 | + | 0.828260i | ||||
\(461\) | 31.3522 | + | 18.1012i | 1.46022 | + | 0.843056i | 0.999021 | − | 0.0442431i | \(-0.0140876\pi\) |
0.461195 | + | 0.887299i | \(0.347421\pi\) | |||||||
\(462\) | −27.0487 | + | 23.6667i | −1.25842 | + | 1.10107i | ||||
\(463\) | 27.9569 | + | 27.9569i | 1.29927 | + | 1.29927i | 0.928877 | + | 0.370388i | \(0.120775\pi\) |
0.370388 | + | 0.928877i | \(0.379225\pi\) | |||||||
\(464\) | −3.61973 | + | 3.61973i | −0.168042 | + | 0.168042i | ||||
\(465\) | 5.52986 | + | 11.2457i | 0.256441 | + | 0.521507i | ||||
\(466\) | −0.211044 | − | 0.787626i | −0.00977641 | − | 0.0364861i | ||||
\(467\) | − | 27.2916i | − | 1.26290i | −0.775415 | − | 0.631452i | \(-0.782459\pi\) | ||
0.775415 | − | 0.631452i | \(-0.217541\pi\) | |||||||
\(468\) | 6.42222 | − | 47.9380i | 0.296867 | − | 2.21593i | ||||
\(469\) | 15.2785 | − | 15.2785i | 0.705494 | − | 0.705494i | ||||
\(470\) | 50.8729 | 2.34659 | ||||||||
\(471\) | −11.2029 | − | 18.5875i | −0.516202 | − | 0.856467i | ||||
\(472\) | −4.54317 | −0.209116 | ||||||||
\(473\) | 3.56490 | − | 3.56490i | 0.163914 | − | 0.163914i | ||||
\(474\) | 8.57749 | − | 25.1743i | 0.393977 | − | 1.15629i | ||||
\(475\) | − | 13.5707i | − | 0.622667i | ||||||
\(476\) | −1.02235 | − | 3.81548i | −0.0468596 | − | 0.174882i | ||||
\(477\) | −6.03153 | + | 4.60638i | −0.276165 | + | 0.210912i | ||||
\(478\) | 27.9705 | − | 27.9705i | 1.27934 | − | 1.27934i | ||||
\(479\) | −9.50574 | − | 9.50574i | −0.434328 | − | 0.434328i | 0.455770 | − | 0.890098i | \(-0.349364\pi\) |
−0.890098 | + | 0.455770i | \(0.849364\pi\) | |||||||
\(480\) | 19.5973 | + | 22.3978i | 0.894489 | + | 1.02231i | ||||
\(481\) | −34.9926 | − | 20.2030i | −1.59553 | − | 0.921178i | ||||
\(482\) | −15.4669 | − | 8.92980i | −0.704497 | − | 0.406741i | ||||
\(483\) | 13.6421 | + | 4.64821i | 0.620739 | + | 0.211501i | ||||
\(484\) | 28.4993 | − | 16.4541i | 1.29542 | − | 0.747914i | ||||
\(485\) | 25.5082i | 1.15827i | ||||||||
\(486\) | 23.0564 | + | 26.5946i | 1.04586 | + | 1.20636i | ||||
\(487\) | 14.1760 | 0.642376 | 0.321188 | − | 0.947015i | \(-0.395918\pi\) | ||||
0.321188 | + | 0.947015i | \(0.395918\pi\) | |||||||
\(488\) | 29.6648 | + | 17.1270i | 1.34286 | + | 0.775301i | ||||
\(489\) | 0.758227 | − | 11.3700i | 0.0342882 | − | 0.514168i | ||||
\(490\) | 9.51360 | − | 16.4780i | 0.429781 | − | 0.744402i | ||||
\(491\) | 30.4689 | − | 8.16411i | 1.37504 | − | 0.368441i | 0.505724 | − | 0.862695i | \(-0.331226\pi\) |
0.869317 | + | 0.494254i | \(0.164559\pi\) | |||||||
\(492\) | 18.6398 | + | 37.9065i | 0.840347 | + | 1.70896i | ||||
\(493\) | 5.33881 | − | 1.43053i | 0.240448 | − | 0.0644278i | ||||
\(494\) | −46.6141 | − | 46.6141i | −2.09727 | − | 2.09727i | ||||
\(495\) | −30.1963 | + | 23.0614i | −1.35722 | + | 1.03653i | ||||
\(496\) | −1.37444 | + | 0.793535i | −0.0617143 | + | 0.0356308i | ||||
\(497\) | 3.96786 | − | 14.8083i | 0.177983 | − | 0.664241i | ||||
\(498\) | 3.14919 | + | 15.9268i | 0.141119 | + | 0.713696i | ||||
\(499\) | −26.4882 | − | 26.4882i | −1.18578 | − | 1.18578i | −0.978224 | − | 0.207552i | \(-0.933450\pi\) |
−0.207552 | − | 0.978224i | \(-0.566550\pi\) | |||||||
\(500\) | 15.4026 | − | 15.4026i | 0.688826 | − | 0.688826i | ||||
\(501\) | −6.49852 | + | 5.68598i | −0.290332 | + | 0.254031i | ||||
\(502\) | −45.7314 | + | 26.4030i | −2.04109 | + | 1.17842i | ||||
\(503\) | 15.5095 | − | 15.5095i | 0.691533 | − | 0.691533i | −0.271036 | − | 0.962569i | \(-0.587366\pi\) |
0.962569 | + | 0.271036i | \(0.0873664\pi\) | |||||||
\(504\) | −11.6440 | − | 8.97693i | −0.518664 | − | 0.399864i | ||||
\(505\) | 20.4843 | − | 5.48874i | 0.911538 | − | 0.244246i | ||||
\(506\) | −38.2809 | − | 22.1015i | −1.70180 | − | 0.982532i | ||||
\(507\) | −18.3510 | + | 16.0565i | −0.814998 | + | 0.713094i | ||||
\(508\) | −13.2462 | − | 22.9431i | −0.587705 | − | 1.01794i | ||||
\(509\) | 7.41134 | + | 27.6595i | 0.328502 | + | 1.22599i | 0.910745 | + | 0.412970i | \(0.135509\pi\) |
−0.582243 | + | 0.813015i | \(0.697825\pi\) | |||||||
\(510\) | −1.33290 | − | 6.74102i | −0.0590217 | − | 0.298498i | ||||
\(511\) | 7.87423 | − | 13.6386i | 0.348336 | − | 0.603335i | ||||
\(512\) | −4.76031 | + | 4.76031i | −0.210378 | + | 0.210378i | ||||
\(513\) | 29.0978 | − | 1.80739i | 1.28470 | − | 0.0797982i | ||||
\(514\) | 3.90170 | − | 14.5614i | 0.172097 | − | 0.642274i | ||||
\(515\) | −19.5534 | + | 33.8674i | −0.861624 | + | 1.49238i | ||||
\(516\) | 4.83400 | + | 3.23794i | 0.212805 | + | 0.142542i | ||||
\(517\) | −38.4641 | −1.69165 | ||||||||
\(518\) | −30.0090 | + | 17.3257i | −1.31852 | + | 0.761248i | ||||
\(519\) | −12.8434 | + | 37.6943i | −0.563761 | + | 1.65460i | ||||
\(520\) | 35.1458i | 1.54124i | ||||||||
\(521\) | 6.77129 | − | 25.2708i | 0.296656 | − | 1.10713i | −0.643238 | − | 0.765666i | \(-0.722409\pi\) |
0.939894 | − | 0.341468i | \(-0.110924\pi\) | |||||||
\(522\) | 35.4360 | − | 45.9641i | 1.55099 | − | 2.01179i | ||||
\(523\) | 12.5095 | + | 21.6672i | 0.547004 | + | 0.947439i | 0.998478 | + | 0.0551546i | \(0.0175652\pi\) |
−0.451474 | + | 0.892284i | \(0.649102\pi\) | |||||||
\(524\) | 7.15909 | − | 26.7181i | 0.312746 | − | 1.16718i | ||||
\(525\) | −4.60788 | + | 6.87922i | −0.201104 | + | 0.300234i | ||||
\(526\) | −13.1700 | + | 49.1510i | −0.574238 | + | 2.14309i | ||||
\(527\) | 1.71358 | 0.0746449 | ||||||||
\(528\) | −3.16857 | − | 3.62137i | −0.137894 | − | 0.157600i | ||||
\(529\) | − | 5.27459i | − | 0.229330i | ||||||
\(530\) | 11.0013 | − | 11.0013i | 0.477864 | − | 0.477864i | ||||
\(531\) | −5.45102 | + | 0.705018i | −0.236554 | + | 0.0305952i | ||||
\(532\) | −33.1852 | + | 8.89195i | −1.43876 | + | 0.385515i | ||||
\(533\) | 10.6016 | − | 39.5657i | 0.459206 | − | 1.71378i | ||||
\(534\) | 13.6384 | + | 0.909503i | 0.590192 | + | 0.0393580i | ||||
\(535\) | − | 51.1221i | − | 2.21020i | ||||||
\(536\) | −19.1693 | − | 19.1693i | −0.827987 | − | 0.827987i | ||||
\(537\) | −0.960134 | + | 14.3977i | −0.0414328 | + | 0.621305i | ||||
\(538\) | −21.7586 | −0.938079 | ||||||||
\(539\) | −7.19308 | + | 12.4588i | −0.309828 | + | 0.536637i | ||||
\(540\) | −32.8685 | − | 29.0241i | −1.41443 | − | 1.24900i | ||||
\(541\) | −18.0563 | + | 4.83817i | −0.776302 | + | 0.208009i | −0.625154 | − | 0.780502i | \(-0.714964\pi\) |
−0.151148 | + | 0.988511i | \(0.548297\pi\) | |||||||
\(542\) | −17.6321 | + | 10.1799i | −0.757364 | + | 0.437264i | ||||
\(543\) | 42.2455 | + | 2.81722i | 1.81293 | + | 0.120898i | ||||
\(544\) | 3.93083 | − | 1.05326i | 0.168533 | − | 0.0451582i | ||||
\(545\) | −13.0407 | − | 3.49423i | −0.558600 | − | 0.149677i | ||||
\(546\) | 7.80181 | + | 39.4570i | 0.333887 | + | 1.68861i | ||||
\(547\) | 23.3471 | + | 13.4794i | 0.998248 | + | 0.576339i | 0.907729 | − | 0.419556i | \(-0.137814\pi\) |
0.0905184 | + | 0.995895i | \(0.471148\pi\) | |||||||
\(548\) | −21.0582 | + | 5.64252i | −0.899561 | + | 0.241037i | ||||
\(549\) | 38.2504 | + | 15.9460i | 1.63249 | + | 0.680557i | ||||
\(550\) | 17.9567 | − | 17.9567i | 0.765678 | − | 0.765678i | ||||
\(551\) | −12.4421 | − | 46.4344i | −0.530049 | − | 1.97817i | ||||
\(552\) | 5.83192 | − | 17.1162i | 0.248223 | − | 0.728516i | ||||
\(553\) | 13.4404i | 0.571543i | ||||||||
\(554\) | −2.52406 | + | 9.41992i | −0.107237 | + | 0.400214i | ||||
\(555\) | −32.8729 | + | 16.1646i | −1.39538 | + | 0.686149i | ||||
\(556\) | 14.2750 | − | 53.2750i | 0.605394 | − | 2.25936i | ||||
\(557\) | 8.41287 | + | 14.5715i | 0.356465 | + | 0.617415i | 0.987367 | − | 0.158447i | \(-0.0506487\pi\) |
−0.630903 | + | 0.775862i | \(0.717315\pi\) | |||||||
\(558\) | 14.3002 | − | 10.9213i | 0.605374 | − | 0.462334i | ||||
\(559\) | −1.46023 | − | 5.44966i | −0.0617613 | − | 0.230496i | ||||
\(560\) | −2.78535 | − | 1.60812i | −0.117702 | − | 0.0679555i | ||||
\(561\) | 1.00778 | + | 5.09678i | 0.0425486 | + | 0.215186i | ||||
\(562\) | −5.91753 | + | 22.0845i | −0.249616 | + | 0.931580i | ||||
\(563\) | −1.19179 | + | 1.19179i | −0.0502279 | + | 0.0502279i | −0.731775 | − | 0.681547i | \(-0.761308\pi\) |
0.681547 | + | 0.731775i | \(0.261308\pi\) | |||||||
\(564\) | −8.61049 | − | 43.5469i | −0.362567 | − | 1.83365i | ||||
\(565\) | 2.37584 | − | 8.86677i | 0.0999525 | − | 0.373028i | ||||
\(566\) | −41.3575 | − | 11.0817i | −1.73838 | − | 0.465799i | ||||
\(567\) | −15.3638 | − | 8.96384i | −0.645220 | − | 0.376446i | ||||
\(568\) | −18.5793 | − | 4.97831i | −0.779571 | − | 0.208885i | ||||
\(569\) | 9.89810 | + | 9.89810i | 0.414950 | + | 0.414950i | 0.883459 | − | 0.468509i | \(-0.155209\pi\) |
−0.468509 | + | 0.883459i | \(0.655209\pi\) | |||||||
\(570\) | −58.6302 | + | 11.5929i | −2.45575 | + | 0.485573i | ||||
\(571\) | −3.11435 | − | 5.39422i | −0.130332 | − | 0.225741i | 0.793473 | − | 0.608606i | \(-0.208271\pi\) |
−0.923804 | + | 0.382865i | \(0.874938\pi\) | |||||||
\(572\) | − | 74.9662i | − | 3.13449i | ||||||
\(573\) | −1.07333 | + | 16.0951i | −0.0448391 | + | 0.672383i | ||||
\(574\) | −24.8390 | − | 24.8390i | −1.03676 | − | 1.03676i | ||||
\(575\) | −9.83628 | − | 2.63562i | −0.410201 | − | 0.109913i | ||||
\(576\) | 23.9019 | − | 31.0032i | 0.995913 | − | 1.29180i | ||||
\(577\) | 10.4715 | + | 18.1371i | 0.435934 | + | 0.755059i | 0.997371 | − | 0.0724597i | \(-0.0230849\pi\) |
−0.561438 | + | 0.827519i | \(0.689752\pi\) | |||||||
\(578\) | 36.1692 | + | 9.69151i | 1.50444 | + | 0.403114i | ||||
\(579\) | −20.0504 | + | 3.96455i | −0.833266 | + | 0.164761i | ||||
\(580\) | −36.1518 | + | 62.6167i | −1.50112 | + | 2.60002i | ||||
\(581\) | −4.10232 | − | 7.10543i | −0.170193 | − | 0.294783i | ||||
\(582\) | 35.9300 | − | 7.10440i | 1.48934 | − | 0.294487i | ||||
\(583\) | −8.31787 | + | 8.31787i | −0.344491 | + | 0.344491i | ||||
\(584\) | −17.1118 | − | 9.87948i | −0.708090 | − | 0.408816i | ||||
\(585\) | 5.45400 | + | 42.1689i | 0.225495 | + | 1.74347i | ||||
\(586\) | 25.1419 | − | 43.5471i | 1.03860 | − | 1.79891i | ||||
\(587\) | 1.12613 | + | 1.12613i | 0.0464804 | + | 0.0464804i | 0.729965 | − | 0.683485i | \(-0.239536\pi\) |
−0.683485 | + | 0.729965i | \(0.739536\pi\) | |||||||
\(588\) | −15.7153 | − | 5.35459i | −0.648089 | − | 0.220820i | ||||
\(589\) | − | 14.9039i | − | 0.614106i | ||||||
\(590\) | 10.8837 | − | 2.91628i | 0.448075 | − | 0.120061i | ||||
\(591\) | −15.7062 | − | 17.9506i | −0.646066 | − | 0.738391i | ||||
\(592\) | −2.31962 | − | 4.01770i | −0.0953358 | − | 0.165126i | ||||
\(593\) | −4.00397 | + | 6.93507i | −0.164423 | + | 0.284789i | −0.936450 | − | 0.350800i | \(-0.885910\pi\) |
0.772027 | + | 0.635590i | \(0.219243\pi\) | |||||||
\(594\) | 40.8936 | + | 36.1106i | 1.67789 | + | 1.48163i | ||||
\(595\) | 1.73631 | + | 3.00738i | 0.0711819 | + | 0.123291i | ||||
\(596\) | 26.4769 | + | 26.4769i | 1.08454 | + | 1.08454i | ||||
\(597\) | 25.4025 | + | 29.0327i | 1.03966 | + | 1.18823i | ||||
\(598\) | −42.8397 | + | 24.7335i | −1.75185 | + | 1.01143i | ||||
\(599\) | 14.6658 | + | 14.6658i | 0.599229 | + | 0.599229i | 0.940107 | − | 0.340878i | \(-0.110724\pi\) |
−0.340878 | + | 0.940107i | \(0.610724\pi\) | |||||||
\(600\) | 8.63108 | + | 5.78132i | 0.352362 | + | 0.236022i | ||||
\(601\) | 19.8730 | 0.810635 | 0.405318 | − | 0.914176i | \(-0.367161\pi\) | ||||
0.405318 | + | 0.914176i | \(0.367161\pi\) | |||||||
\(602\) | −4.67353 | − | 1.25227i | −0.190479 | − | 0.0510386i | ||||
\(603\) | −25.9746 | − | 20.0251i | −1.05777 | − | 0.815486i | ||||
\(604\) | 2.13526 | + | 7.96891i | 0.0868826 | + | 0.324250i | ||||
\(605\) | −20.4570 | + | 20.4570i | −0.831695 | + | 0.831695i | ||||
\(606\) | −13.4364 | − | 27.3247i | −0.545817 | − | 1.10999i | ||||
\(607\) | −7.29536 | − | 27.2267i | −0.296110 | − | 1.10510i | −0.940332 | − | 0.340258i | \(-0.889486\pi\) |
0.644222 | − | 0.764838i | \(-0.277181\pi\) | |||||||
\(608\) | −9.16076 | − | 34.1884i | −0.371518 | − | 1.38652i | ||||
\(609\) | −9.45952 | + | 27.7630i | −0.383319 | + | 1.12501i | ||||
\(610\) | −82.0595 | − | 21.9878i | −3.32249 | − | 0.890259i | ||||
\(611\) | −21.5224 | + | 37.2778i | −0.870702 | + | 1.50810i | ||||
\(612\) | −5.54468 | + | 2.28190i | −0.224130 | + | 0.0922405i | ||||
\(613\) | 1.36150 | − | 5.08118i | 0.0549904 | − | 0.205227i | −0.932965 | − | 0.359968i | \(-0.882788\pi\) |
0.987955 | + | 0.154741i | \(0.0494543\pi\) | |||||||
\(614\) | −25.5312 | −1.03036 | ||||||||
\(615\) | −24.4535 | − | 27.9480i | −0.986060 | − | 1.12697i | ||||
\(616\) | −19.7355 | − | 11.3943i | −0.795167 | − | 0.459090i | ||||
\(617\) | 10.9639 | − | 18.9900i | 0.441390 | − | 0.764510i | −0.556403 | − | 0.830913i | \(-0.687819\pi\) |
0.997793 | + | 0.0664029i | \(0.0211523\pi\) | |||||||
\(618\) | 53.1504 | + | 18.1096i | 2.13802 | + | 0.728476i | ||||
\(619\) | −16.7777 | + | 9.68659i | −0.674351 | + | 0.389337i | −0.797723 | − | 0.603024i | \(-0.793963\pi\) |
0.123372 | + | 0.992360i | \(0.460629\pi\) | |||||||
\(620\) | −15.8507 | + | 15.8507i | −0.636581 | + | 0.636581i | ||||
\(621\) | 4.34117 | − | 21.4416i | 0.174205 | − | 0.860420i | ||||
\(622\) | 25.0582 | − | 6.71432i | 1.00474 | − | 0.269220i | ||||
\(623\) | −6.67230 | + | 1.78784i | −0.267320 | + | 0.0716282i | ||||
\(624\) | −5.28263 | + | 1.04453i | −0.211475 | + | 0.0418147i | ||||
\(625\) | −15.6217 | + | 27.0576i | −0.624868 | + | 1.08230i | ||||
\(626\) | −28.1740 | − | 28.1740i | −1.12606 | − | 1.12606i | ||||
\(627\) | 44.3293 | − | 8.76520i | 1.77034 | − | 0.350048i | ||||
\(628\) | 25.0089 | − | 29.6917i | 0.997963 | − | 1.18483i | ||||
\(629\) | 5.00906i | 0.199724i | ||||||||
\(630\) | 33.6569 | + | 14.0310i | 1.34092 | + | 0.559009i | ||||
\(631\) | −32.8997 | − | 18.9947i | −1.30972 | − | 0.756166i | −0.327669 | − | 0.944792i | \(-0.606263\pi\) |
−0.982049 | + | 0.188626i | \(0.939597\pi\) | |||||||
\(632\) | 16.8631 | 0.670778 | ||||||||
\(633\) | 19.7788 | − | 9.72586i | 0.786138 | − | 0.386568i | ||||
\(634\) | −16.3903 | − | 61.1696i | −0.650944 | − | 2.42935i | ||||
\(635\) | 16.4687 | + | 16.4687i | 0.653539 | + | 0.653539i | ||||
\(636\) | −11.2790 | − | 7.55499i | −0.447243 | − | 0.299575i | ||||
\(637\) | 8.04968 | + | 13.9425i | 0.318940 | + | 0.552420i | ||||
\(638\) | 44.9785 | − | 77.9051i | 1.78072 | − | 3.08429i | ||||
\(639\) | −23.0645 | − | 3.08994i | −0.912419 | − | 0.122236i | ||||
\(640\) | −22.9432 | + | 39.7388i | −0.906911 | + | 1.57082i | ||||
\(641\) | −20.4735 | − | 35.4611i | −0.808654 | − | 1.40063i | −0.913797 | − | 0.406172i | \(-0.866863\pi\) |
0.105143 | − | 0.994457i | \(-0.466470\pi\) | |||||||
\(642\) | −72.0088 | + | 14.2382i | −2.84196 | + | 0.561939i | ||||
\(643\) | 19.4463 | + | 5.21061i | 0.766886 | + | 0.205486i | 0.620995 | − | 0.783814i | \(-0.286729\pi\) |
0.145890 | + | 0.989301i | \(0.453395\pi\) | |||||||
\(644\) | 25.7801i | 1.01588i | ||||||||
\(645\) | −4.84165 | − | 1.64967i | −0.190640 | − | 0.0649555i | ||||
\(646\) | −2.11514 | + | 7.89380i | −0.0832190 | + | 0.310577i | ||||
\(647\) | 6.70450 | + | 3.87084i | 0.263581 | + | 0.152179i | 0.625967 | − | 0.779850i | \(-0.284704\pi\) |
−0.362386 | + | 0.932028i | \(0.618038\pi\) | |||||||
\(648\) | −11.2466 | + | 19.2764i | −0.441807 | + | 0.757247i | ||||
\(649\) | −8.22900 | + | 2.20495i | −0.323016 | + | 0.0865520i | ||||
\(650\) | −7.35534 | − | 27.4505i | −0.288500 | − | 1.07670i | ||||
\(651\) | −5.06057 | + | 7.55504i | −0.198339 | + | 0.296106i | ||||
\(652\) | 19.6888 | − | 5.27559i | 0.771072 | − | 0.206608i | ||||
\(653\) | −11.5045 | − | 19.9264i | −0.450207 | − | 0.779782i | 0.548191 | − | 0.836353i | \(-0.315317\pi\) |
−0.998399 | + | 0.0565710i | \(0.981983\pi\) | |||||||
\(654\) | −1.28984 | + | 19.3418i | −0.0504369 | + | 0.756325i | ||||
\(655\) | 24.3172i | 0.950152i | ||||||||
\(656\) | 3.32553 | − | 3.32553i | 0.129840 | − | 0.129840i | ||||
\(657\) | −22.0643 | − | 9.19824i | −0.860810 | − | 0.358857i | ||||
\(658\) | 18.4572 | + | 31.9688i | 0.719535 | + | 1.24627i | ||||
\(659\) | 3.07249 | + | 5.32170i | 0.119687 | + | 0.207304i | 0.919644 | − | 0.392754i | \(-0.128478\pi\) |
−0.799957 | + | 0.600058i | \(0.795144\pi\) | |||||||
\(660\) | −56.4675 | − | 37.8234i | −2.19799 | − | 1.47227i | ||||
\(661\) | −0.618145 | + | 0.356886i | −0.0240431 | + | 0.0138813i | −0.511973 | − | 0.859001i | \(-0.671085\pi\) |
0.487930 | + | 0.872883i | \(0.337752\pi\) | |||||||
\(662\) | 18.1769 | + | 67.8372i | 0.706466 | + | 2.63657i | ||||
\(663\) | 5.50348 | + | 1.87517i | 0.213738 | + | 0.0728256i | ||||
\(664\) | −8.91490 | + | 5.14702i | −0.345965 | + | 0.199743i | ||||
\(665\) | 26.1568 | − | 15.1016i | 1.01432 | − | 0.585615i | ||||
\(666\) | 31.9245 | + | 41.8015i | 1.23705 | + | 1.61977i | ||||
\(667\) | −36.0728 | −1.39674 | ||||||||
\(668\) | −13.3764 | − | 7.72286i | −0.517548 | − | 0.298806i | ||||
\(669\) | 22.6164 | + | 15.1491i | 0.874401 | + | 0.585697i | ||||
\(670\) | 58.2272 | + | 33.6175i | 2.24951 | + | 1.29876i | ||||
\(671\) | 62.0438 | + | 16.6246i | 2.39518 | + | 0.641785i | ||||
\(672\) | −6.96480 | + | 20.4412i | −0.268673 | + | 0.788535i | ||||
\(673\) | 28.0872 | + | 28.0872i | 1.08268 | + | 1.08268i | 0.996258 | + | 0.0864251i | \(0.0275443\pi\) |
0.0864251 | + | 0.996258i | \(0.472456\pi\) | |||||||
\(674\) | 39.7054i | 1.52940i | ||||||||
\(675\) | 11.2530 | + | 5.59721i | 0.433127 | + | 0.215437i | ||||
\(676\) | −37.7733 | − | 21.8084i | −1.45282 | − | 0.838785i | ||||
\(677\) | 41.5696 | 1.59765 | 0.798825 | − | 0.601563i | \(-0.205455\pi\) | ||||
0.798825 | + | 0.601563i | \(0.205455\pi\) | |||||||
\(678\) | −13.1511 | − | 0.877007i | −0.505066 | − | 0.0336813i | ||||
\(679\) | −16.0295 | + | 9.25462i | −0.615155 | + | 0.355160i | ||||
\(680\) | 3.77324 | − | 2.17848i | 0.144697 | − | 0.0835409i | ||||
\(681\) | 0.174733 | − | 2.62020i | 0.00669578 | − | 0.100406i | ||||
\(682\) | 19.7208 | − | 19.7208i | 0.755150 | − | 0.755150i | ||||
\(683\) | 39.3366 | + | 10.5402i | 1.50517 | + | 0.403309i | 0.914828 | − | 0.403843i | \(-0.132326\pi\) |
0.590343 | + | 0.807152i | \(0.298992\pi\) | |||||||
\(684\) | 19.8469 | + | 48.2249i | 0.758866 | + | 1.84393i | ||||
\(685\) | 16.5982 | − | 9.58295i | 0.634183 | − | 0.366146i | ||||
\(686\) | 45.0444 | 1.71980 | ||||||||
\(687\) | −9.60145 | − | 6.43131i | −0.366318 | − | 0.245370i | ||||
\(688\) | 0.167658 | − | 0.625707i | 0.00639189 | − | 0.0238548i | ||||
\(689\) | 3.40712 | + | 12.7155i | 0.129801 | + | 0.484424i | ||||
\(690\) | −2.98408 | + | 44.7476i | −0.113602 | + | 1.70351i | ||||
\(691\) | 8.32595 | + | 2.23093i | 0.316734 | + | 0.0848686i | 0.413684 | − | 0.910421i | \(-0.364242\pi\) |
−0.0969497 | + | 0.995289i | \(0.530909\pi\) | |||||||
\(692\) | −71.2325 | −2.70785 | ||||||||
\(693\) | −25.4474 | − | 10.6086i | −0.966668 | − | 0.402988i | ||||
\(694\) | −34.0485 | − | 9.12327i | −1.29246 | − | 0.346315i | ||||
\(695\) | 48.4877i | 1.83924i | ||||||||
\(696\) | 34.8331 | + | 11.8685i | 1.32034 | + | 0.449874i | ||||
\(697\) | −4.90488 | + | 1.31426i | −0.185786 | + | 0.0497811i | ||||
\(698\) | 1.16542 | + | 4.34940i | 0.0441117 | + | 0.164627i | ||||
\(699\) | 0.470745 | − | 0.411885i | 0.0178052 | − | 0.0155789i | ||||
\(700\) | −14.3060 | − | 3.83329i | −0.540717 | − | 0.144885i | ||||
\(701\) | −11.0783 | − | 41.3447i | −0.418421 | − | 1.56157i | −0.777884 | − | 0.628408i | \(-0.783707\pi\) |
0.359463 | − | 0.933159i | \(-0.382960\pi\) | |||||||
\(702\) | 57.8786 | − | 19.4270i | 2.18449 | − | 0.733223i | ||||
\(703\) | 43.5664 | 1.64314 | ||||||||
\(704\) | 30.3384 | − | 52.5477i | 1.14342 | − | 1.98046i | ||||
\(705\) | 17.2202 | + | 35.0196i | 0.648552 | + | 1.31892i | ||||
\(706\) | 18.5456 | + | 18.5456i | 0.697974 | + | 0.697974i | ||||
\(707\) | 10.8811 | + | 10.8811i | 0.409224 | + | 0.409224i | ||||
\(708\) | −4.33844 | − | 8.82280i | −0.163049 | − | 0.331581i | ||||
\(709\) | −22.3302 | + | 38.6770i | −0.838628 | + | 1.45255i | 0.0524136 | + | 0.998625i | \(0.483309\pi\) |
−0.891042 | + | 0.453921i | \(0.850025\pi\) | |||||||
\(710\) | 47.7046 | 1.79032 | ||||||||
\(711\) | 20.2328 | − | 2.61685i | 0.758789 | − | 0.0981395i | ||||
\(712\) | 2.24313 | + | 8.37146i | 0.0840647 | + | 0.313734i | ||||
\(713\) | −10.8026 | − | 2.89455i | −0.404561 | − | 0.108402i | ||||
\(714\) | 3.75250 | − | 3.28331i | 0.140434 | − | 0.122875i | ||||
\(715\) | 17.0574 | + | 63.6592i | 0.637912 | + | 2.38072i | ||||
\(716\) | −24.9317 | + | 6.68042i | −0.931740 | + | 0.249659i | ||||
\(717\) | 28.7221 | + | 9.78630i | 1.07264 | + | 0.365476i | ||||
\(718\) | 48.1498i | 1.79694i | ||||||||
\(719\) | −30.4885 | − | 8.16938i | −1.13703 | − | 0.304666i | −0.359274 | − | 0.933232i | \(-0.616976\pi\) |
−0.777756 | + | 0.628566i | \(0.783642\pi\) | |||||||
\(720\) | −1.87852 | + | 4.50609i | −0.0700081 | + | 0.167932i | ||||
\(721\) | −28.3766 | −1.05680 | ||||||||
\(722\) | 27.2177 | + | 7.29297i | 1.01294 | + | 0.271416i | ||||
\(723\) | 0.911590 | − | 13.6697i | 0.0339024 | − | 0.508382i | ||||
\(724\) | 19.6016 | + | 73.1543i | 0.728489 | + | 2.71876i | ||||
\(725\) | 5.36373 | − | 20.0177i | 0.199204 | − | 0.743439i | ||||
\(726\) | 34.5126 | + | 23.1174i | 1.28088 | + | 0.857968i | ||||
\(727\) | 21.0439 | 0.780474 | 0.390237 | − | 0.920715i | \(-0.372393\pi\) | ||||
0.390237 | + | 0.920715i | \(0.372393\pi\) | |||||||
\(728\) | −22.0858 | + | 12.7512i | −0.818554 | + | 0.472592i | ||||
\(729\) | −10.5026 | + | 24.8736i | −0.388985 | + | 0.921244i | ||||
\(730\) | 47.3350 | + | 12.6834i | 1.75195 | + | 0.469433i | ||||
\(731\) | −0.494563 | + | 0.494563i | −0.0182921 | + | 0.0182921i | ||||
\(732\) | −4.93242 | + | 73.9640i | −0.182308 | + | 2.73379i | ||||
\(733\) | −42.0991 | + | 24.3059i | −1.55496 | + | 0.897759i | −0.557239 | + | 0.830352i | \(0.688139\pi\) |
−0.997726 | + | 0.0674065i | \(0.978528\pi\) | |||||||
\(734\) | 9.94106 | − | 5.73947i | 0.366931 | − | 0.211848i | ||||
\(735\) | 14.5634 | + | 0.971186i | 0.537179 | + | 0.0358227i | ||||
\(736\) | −26.5595 | −0.978995 | ||||||||
\(737\) | −44.0246 | − | 25.4176i | −1.62167 | − | 0.936271i | ||||
\(738\) | −32.5559 | + | 42.2282i | −1.19840 | + | 1.55444i | ||||
\(739\) | 6.89162i | 0.253512i | 0.991934 | + | 0.126756i | \(0.0404566\pi\) | ||||
−0.991934 | + | 0.126756i | \(0.959543\pi\) | |||||||
\(740\) | −46.3340 | − | 46.3340i | −1.70327 | − | 1.70327i | ||||
\(741\) | 16.3093 | − | 47.8666i | 0.599138 | − | 1.75843i | ||||
\(742\) | 10.9046 | + | 2.92188i | 0.400321 | + | 0.107266i | ||||
\(743\) | −20.1316 | − | 11.6230i | −0.738557 | − | 0.426406i | 0.0829874 | − | 0.996551i | \(-0.473554\pi\) |
−0.821544 | + | 0.570145i | \(0.806887\pi\) | |||||||
\(744\) | 9.47901 | + | 6.34929i | 0.347517 | + | 0.232776i | ||||
\(745\) | −28.5079 | − | 16.4590i | −1.04445 | − | 0.603012i | ||||
\(746\) | −1.75396 | −0.0642169 | ||||||||
\(747\) | −9.89762 | + | 7.55897i | −0.362135 | + | 0.276568i | ||||
\(748\) | −8.04834 | + | 4.64671i | −0.294276 | + | 0.169901i | ||||
\(749\) | 32.1254 | − | 18.5476i | 1.17384 | − | 0.677714i | ||||
\(750\) | 26.0266 | + | 8.86789i | 0.950356 | + | 0.323809i | ||||
\(751\) | −6.20651 | − | 23.1630i | −0.226479 | − | 0.845230i | −0.981807 | − | 0.189883i | \(-0.939189\pi\) |
0.755328 | − | 0.655347i | \(-0.227478\pi\) | |||||||
\(752\) | −4.28008 | + | 2.47110i | −0.156078 | + | 0.0901119i | ||||
\(753\) | −33.6551 | − | 22.5430i | −1.22646 | − | 0.821514i | ||||
\(754\) | −50.3349 | − | 87.1827i | −1.83309 | − | 3.17501i | ||||
\(755\) | −3.62641 | − | 6.28113i | −0.131979 | − | 0.228594i | ||||
\(756\) | 6.31386 | − | 31.1849i | 0.229633 | − | 1.13419i | ||||
\(757\) | −33.2603 | + | 33.2603i | −1.20887 | + | 1.20887i | −0.237471 | + | 0.971395i | \(0.576319\pi\) |
−0.971395 | + | 0.237471i | \(0.923681\pi\) | |||||||
\(758\) | 31.8626i | 1.15730i | ||||||||
\(759\) | 2.25621 | − | 33.8329i | 0.0818953 | − | 1.22806i | ||||
\(760\) | −18.9474 | − | 32.8178i | −0.687294 | − | 1.19043i | ||||
\(761\) | 11.4059 | − | 3.05620i | 0.413464 | − | 0.110787i | −0.0460899 | − | 0.998937i | \(-0.514676\pi\) |
0.459554 | + | 0.888150i | \(0.348009\pi\) | |||||||
\(762\) | 18.6104 | − | 27.7840i | 0.674185 | − | 1.00651i | ||||
\(763\) | −2.53548 | − | 9.46256i | −0.0917907 | − | 0.342568i | ||||
\(764\) | −27.8711 | + | 7.46803i | −1.00834 | + | 0.270184i | ||||
\(765\) | 4.18918 | − | 3.19934i | 0.151460 | − | 0.115672i | ||||
\(766\) | −45.8804 | − | 26.4891i | −1.65773 | − | 0.957089i | ||||
\(767\) | −2.46754 | + | 9.20897i | −0.0890976 | + | 0.332517i | ||||
\(768\) | 19.5771 | + | 6.67038i | 0.706427 | + | 0.240697i | ||||
\(769\) | − | 24.9805i | − | 0.900819i | −0.892822 | − | 0.450410i | \(-0.851278\pi\) | ||
0.892822 | − | 0.450410i | \(-0.148722\pi\) | |||||||
\(770\) | 54.5929 | + | 14.6281i | 1.96739 | + | 0.527161i | ||||
\(771\) | 11.3444 | − | 2.24312i | 0.408558 | − | 0.0807839i | ||||
\(772\) | −18.2799 | − | 31.6617i | −0.657907 | − | 1.13953i | ||||
\(773\) | 7.26402 | − | 12.5817i | 0.261269 | − | 0.452531i | −0.705311 | − | 0.708898i | \(-0.749192\pi\) |
0.966579 | + | 0.256368i | \(0.0825258\pi\) | |||||||
\(774\) | −0.975194 | + | 7.27923i | −0.0350526 | + | 0.261647i | ||||
\(775\) | 3.21252 | − | 5.56424i | 0.115397 | − | 0.199874i | ||||
\(776\) | 11.6114 | + | 20.1115i | 0.416825 | + | 0.721962i | ||||
\(777\) | −22.0845 | − | 14.7928i | −0.792277 | − | 0.530688i | ||||
\(778\) | −27.8629 | − | 27.8629i | −0.998934 | − | 0.998934i | ||||
\(779\) | 11.4308 | + | 42.6603i | 0.409551 | + | 1.52846i | ||||
\(780\) | −68.2529 | + | 33.5621i | −2.44385 | + | 1.20171i | ||||
\(781\) | −36.0687 | −1.29064 | ||||||||
\(782\) | 5.31076 | + | 3.06617i | 0.189913 | + | 0.109646i | ||||
\(783\) | 43.6355 | + | 8.83466i | 1.55941 | + | 0.315725i | ||||
\(784\) | 1.84846i | 0.0660164i | ||||||||
\(785\) | −14.4810 | + | 30.9038i | −0.516848 | + | 1.10300i | ||||
\(786\) | 34.2524 | − | 6.77270i | 1.22174 | − | 0.241574i | ||||
\(787\) | 1.77045 | + | 1.77045i | 0.0631096 | + | 0.0631096i | 0.737957 | − | 0.674848i | \(-0.235791\pi\) |
−0.674848 | + | 0.737957i | \(0.735791\pi\) | |||||||
\(788\) | 21.3326 | − | 36.9491i | 0.759942 | − | 1.31626i | ||||
\(789\) | −38.2923 | + | 7.57151i | −1.36324 | + | 0.269553i | ||||
\(790\) | −40.3976 | + | 10.8245i | −1.43728 | + | 0.385118i | ||||
\(791\) | 6.43390 | − | 1.72396i | 0.228763 | − | 0.0612969i | ||||
\(792\) | −13.3102 | + | 31.9279i | −0.472957 | + | 1.13451i | ||||
\(793\) | 50.8281 | − | 50.8281i | 1.80496 | − | 1.80496i | ||||
\(794\) | −48.4889 | + | 27.9951i | −1.72081 | + | 0.993509i | ||||
\(795\) | 11.2969 | + | 3.84912i | 0.400659 | + | 0.136514i | ||||
\(796\) | −34.5025 | + | 59.7601i | −1.22291 | + | 2.11814i | ||||
\(797\) | −9.38140 | − | 5.41635i | −0.332306 | − | 0.191857i | 0.324558 | − | 0.945866i | \(-0.394784\pi\) |
−0.656864 | + | 0.754009i | \(0.728118\pi\) | |||||||
\(798\) | −28.5566 | − | 32.6375i | −1.01089 | − | 1.15535i | ||||
\(799\) | 5.33618 | 0.188780 | ||||||||
\(800\) | 3.94917 | − | 14.7385i | 0.139624 | − | 0.521085i | ||||
\(801\) | 3.99047 | + | 9.69622i | 0.140996 | + | 0.342599i | ||||
\(802\) | −14.2868 | + | 24.7454i | −0.504483 | + | 0.873790i | ||||
\(803\) | −35.7892 | − | 9.58969i | −1.26297 | − | 0.338413i | ||||
\(804\) | 18.9211 | − | 55.5321i | 0.667297 | − | 1.95847i | ||||
\(805\) | −5.86588 | − | 21.8918i | −0.206745 | − | 0.771584i | ||||
\(806\) | −8.07794 | − | 30.1473i | −0.284533 | − | 1.06189i | ||||
\(807\) | −7.36519 | − | 14.9781i | −0.259267 | − | 0.527253i | ||||
\(808\) | 13.6520 | − | 13.6520i | 0.480276 | − | 0.480276i | ||||
\(809\) | −4.30614 | − | 16.0708i | −0.151396 | − | 0.565018i | −0.999387 | − | 0.0350070i | \(-0.988855\pi\) |
0.847991 | − | 0.530010i | \(-0.177812\pi\) | |||||||
\(810\) | 14.5689 | − | 53.3981i | 0.511899 | − | 1.87622i | ||||
\(811\) | 15.1417 | + | 4.05721i | 0.531697 | + | 0.142468i | 0.514672 | − | 0.857387i | \(-0.327914\pi\) |
0.0170251 | + | 0.999855i | \(0.494580\pi\) | |||||||
\(812\) | −52.4648 | −1.84115 | ||||||||
\(813\) | −12.9760 | − | 8.69166i | −0.455088 | − | 0.304830i | ||||
\(814\) | 57.6469 | + | 57.6469i | 2.02052 | + | 2.02052i | ||||
\(815\) | −15.5188 | + | 8.95977i | −0.543599 | + | 0.313847i | ||||
\(816\) | 0.439580 | + | 0.502397i | 0.0153884 | + | 0.0175874i | ||||
\(817\) | 4.30147 | + | 4.30147i | 0.150489 | + | 0.150489i | ||||
\(818\) | 28.8933 | + | 50.0447i | 1.01023 | + | 1.74977i | ||||
\(819\) | −24.5204 | + | 18.7266i | −0.856812 | + | 0.654361i | ||||
\(820\) | 33.2134 | − | 57.5274i | 1.15986 | − | 2.00894i | ||||
\(821\) | −8.89171 | − | 15.4009i | −0.310323 | − | 0.537495i | 0.668110 | − | 0.744063i | \(-0.267104\pi\) |
−0.978432 | + | 0.206568i | \(0.933770\pi\) | |||||||
\(822\) | −18.1210 | − | 20.7106i | −0.632044 | − | 0.722365i | ||||
\(823\) | −20.5528 | + | 5.50710i | −0.716425 | + | 0.191966i | −0.598576 | − | 0.801066i | \(-0.704267\pi\) |
−0.117849 | + | 0.993032i | \(0.537600\pi\) | |||||||
\(824\) | 35.6030i | 1.24029i | ||||||||
\(825\) | 18.4393 | + | 6.28271i | 0.641973 | + | 0.218736i | ||||
\(826\) | 5.78132 | + | 5.78132i | 0.201158 | + | 0.201158i | ||||
\(827\) | −8.01702 | + | 13.8859i | −0.278779 | + | 0.482860i | −0.971082 | − | 0.238748i | \(-0.923263\pi\) |
0.692303 | + | 0.721607i | \(0.256596\pi\) | |||||||
\(828\) | 38.8088 | − | 5.01941i | 1.34870 | − | 0.174436i | ||||
\(829\) | 34.8884 | + | 20.1428i | 1.21172 | + | 0.699589i | 0.963135 | − | 0.269020i | \(-0.0866997\pi\) |
0.248589 | + | 0.968609i | \(0.420033\pi\) | |||||||
\(830\) | 18.0528 | − | 18.0528i | 0.626623 | − | 0.626623i | ||||
\(831\) | −7.33882 | + | 1.45110i | −0.254581 | + | 0.0503381i | ||||
\(832\) | −33.9513 | − | 58.8054i | −1.17705 | − | 2.03871i | ||||
\(833\) | 0.997905 | − | 1.72842i | 0.0345754 | − | 0.0598863i | ||||
\(834\) | 68.2981 | − | 13.5045i | 2.36497 | − | 0.467624i | ||||
\(835\) | 13.1161 | + | 3.51444i | 0.453901 | + | 0.121622i | ||||
\(836\) | 40.4149 | + | 70.0006i | 1.39778 | + | 2.42102i | ||||
\(837\) | 12.3585 | + | 6.14708i | 0.427171 | + | 0.212474i | ||||
\(838\) | −2.77647 | − | 0.743954i | −0.0959117 | − | 0.0256995i | ||||
\(839\) | 27.5389 | + | 27.5389i | 0.950747 | + | 0.950747i | 0.998843 | − | 0.0480957i | \(-0.0153152\pi\) |
−0.0480957 | + | 0.998843i | \(0.515315\pi\) | |||||||
\(840\) | −1.53842 | + | 23.0694i | −0.0530807 | + | 0.795969i | ||||
\(841\) | − | 44.4114i | − | 1.53143i | ||||||
\(842\) | −24.0365 | − | 41.6325i | −0.828354 | − | 1.43475i | ||||
\(843\) | −17.2055 | + | 3.40203i | −0.592590 | + | 0.117172i | ||||
\(844\) | 27.8781 | + | 27.8781i | 0.959604 | + | 0.959604i | ||||
\(845\) | 37.0382 | + | 9.92436i | 1.27415 | + | 0.341408i | ||||
\(846\) | 44.5314 | − | 34.0093i | 1.53102 | − | 1.16926i | ||||
\(847\) | −20.2773 | − | 5.43328i | −0.696735 | − | 0.186690i | ||||
\(848\) | −0.391191 | + | 1.45994i | −0.0134335 | + | 0.0501347i | ||||
\(849\) | −6.37095 | − | 32.2206i | −0.218650 | − | 1.10581i | ||||
\(850\) | −2.49116 | + | 2.49116i | −0.0854462 | + | 0.0854462i | ||||
\(851\) | 8.46120 | − | 31.5776i | 0.290046 | − | 1.08247i | ||||
\(852\) | −8.07425 | − | 40.8349i | −0.276619 | − | 1.39898i | ||||
\(853\) | −10.8141 | − | 6.24354i | −0.370269 | − | 0.213775i | 0.303307 | − | 0.952893i | \(-0.401909\pi\) |
−0.673576 | + | 0.739118i | \(0.735243\pi\) | |||||||
\(854\) | −15.9548 | − | 59.5440i | −0.545961 | − | 2.03755i | ||||
\(855\) | −27.8263 | − | 36.4354i | −0.951640 | − | 1.24607i | ||||
\(856\) | −23.2709 | − | 40.3064i | −0.795384 | − | 1.37764i | ||||
\(857\) | 0.963180 | − | 3.59464i | 0.0329016 | − | 0.122790i | −0.947522 | − | 0.319691i | \(-0.896421\pi\) |
0.980423 | + | 0.196901i | \(0.0630876\pi\) | |||||||
\(858\) | 84.9175 | − | 41.7565i | 2.89903 | − | 1.42555i | ||||
\(859\) | −4.32624 | + | 16.1457i | −0.147609 | + | 0.550886i | 0.852016 | + | 0.523516i | \(0.175380\pi\) |
−0.999625 | + | 0.0273698i | \(0.991287\pi\) | |||||||
\(860\) | − | 9.14945i | − | 0.311994i | ||||||
\(861\) | 8.69068 | − | 25.5065i | 0.296178 | − | 0.869259i | ||||
\(862\) | −11.7250 | − | 43.7582i | −0.399355 | − | 1.49041i | ||||
\(863\) | −11.2849 | + | 11.2849i | −0.384142 | + | 0.384142i | −0.872592 | − | 0.488450i | \(-0.837563\pi\) |
0.488450 | + | 0.872592i | \(0.337563\pi\) | |||||||
\(864\) | 32.1277 | + | 6.50474i | 1.09301 | + | 0.221296i | ||||
\(865\) | 60.4887 | − | 16.2079i | 2.05668 | − | 0.551085i | ||||
\(866\) | −35.2275 | − | 20.3386i | −1.19708 | − | 0.691134i | ||||
\(867\) | 5.57172 | + | 28.1785i | 0.189225 | + | 0.956993i | ||||
\(868\) | −15.7115 | − | 4.20988i | −0.533282 | − | 0.142893i | ||||
\(869\) | 30.5440 | − | 8.18423i | 1.03613 | − | 0.277631i | ||||
\(870\) | −91.0654 | − | 6.07286i | −3.08740 | − | 0.205889i | ||||
\(871\) | −49.2674 | + | 28.4446i | −1.66936 | + | 0.963807i | ||||
\(872\) | −11.8723 | + | 3.18117i | −0.402046 | + | 0.107728i | ||||
\(873\) | 17.0526 | + | 22.3285i | 0.577144 | + | 0.755705i | ||||
\(874\) | 26.6681 | − | 46.1905i | 0.902061 | − | 1.56242i | ||||
\(875\) | −13.8954 | −0.469750 | ||||||||
\(876\) | 2.84521 | − | 42.6652i | 0.0961307 | − | 1.44152i | ||||
\(877\) | 10.3191 | + | 10.3191i | 0.348450 | + | 0.348450i | 0.859532 | − | 0.511082i | \(-0.170755\pi\) |
−0.511082 | + | 0.859532i | \(0.670755\pi\) | |||||||
\(878\) | 48.9428i | 1.65174i | ||||||||
\(879\) | 38.4872 | + | 2.56659i | 1.29814 | + | 0.0865689i | ||||
\(880\) | −1.95846 | + | 7.30908i | −0.0660197 | + | 0.246389i | ||||
\(881\) | 30.8493 | − | 8.26605i | 1.03934 | − | 0.278490i | 0.301500 | − | 0.953466i | \(-0.402513\pi\) |
0.737840 | + | 0.674976i | \(0.235846\pi\) | |||||||
\(882\) | −2.68814 | − | 20.7840i | −0.0905142 | − | 0.699833i | ||||
\(883\) | 17.0985 | − | 17.0985i | 0.575410 | − | 0.575410i | −0.358225 | − | 0.933635i | \(-0.616618\pi\) |
0.933635 | + | 0.358225i | \(0.116618\pi\) | |||||||
\(884\) | 10.4002i | 0.349795i | ||||||||
\(885\) | 5.69159 | + | 6.50493i | 0.191321 | + | 0.218661i | ||||
\(886\) | 5.10820 | 0.171613 | ||||||||
\(887\) | 14.7582 | − | 55.0782i | 0.495530 | − | 1.84934i | −0.0315097 | − | 0.999503i | \(-0.510032\pi\) |
0.527040 | − | 0.849841i | \(-0.323302\pi\) | |||||||
\(888\) | −18.5599 | + | 27.7085i | −0.622830 | + | 0.929838i | ||||
\(889\) | −4.37400 | + | 16.3240i | −0.146699 | + | 0.547489i | ||||
\(890\) | −10.7474 | − | 18.6150i | −0.360252 | − | 0.623976i | ||||
\(891\) | −11.0153 | + | 40.3735i | −0.369027 | + | 1.35256i | ||||
\(892\) | −12.6025 | + | 47.0331i | −0.421962 | + | 1.57479i | ||||
\(893\) | − | 46.4115i | − | 1.55310i | ||||||
\(894\) | −15.2438 | + | 44.7393i | −0.509828 | + | 1.49631i | ||||
\(895\) | 19.6513 | − | 11.3457i | 0.656869 | − | 0.379244i | ||||
\(896\) | −33.2961 | −1.11234 | ||||||||
\(897\) | −31.5270 | − | 21.1176i | −1.05266 | − | 0.705097i | ||||
\(898\) | −25.2861 | + | 43.7968i | −0.843808 | + | 1.46152i | ||||
\(899\) | 5.89067 | − | 21.9843i | 0.196465 | − | 0.733217i | ||||
\(900\) | −2.98515 | + | 22.2823i | −0.0995049 | + | 0.742743i | ||||
\(901\) | 1.15395 | − | 1.15395i | 0.0384436 | − | 0.0384436i | ||||
\(902\) | −41.3228 | + | 71.5732i | −1.37590 | + | 2.38313i | ||||
\(903\) | −0.719938 | − | 3.64103i | −0.0239580 | − | 0.121166i | ||||
\(904\) | −2.16298 | − | 8.07235i | −0.0719397 | − | 0.268483i | ||||
\(905\) | −33.2903 | − | 57.6606i | −1.10661 | − | 1.91670i | ||||
\(906\) | −7.83738 | + | 6.85743i | −0.260379 | + | 0.227823i | ||||
\(907\) | −0.626017 | − | 0.361431i | −0.0207866 | − | 0.0120011i | 0.489571 | − | 0.871964i | \(-0.337154\pi\) |
−0.510357 | + | 0.859962i | \(0.670487\pi\) | |||||||
\(908\) | 4.53727 | − | 1.21576i | 0.150574 | − | 0.0403463i | ||||
\(909\) | 14.2615 | − | 18.4986i | 0.473025 | − | 0.613560i | ||||
\(910\) | 44.7241 | − | 44.7241i | 1.48259 | − | 1.48259i | ||||
\(911\) | −7.51180 | + | 4.33694i | −0.248877 | + | 0.143689i | −0.619250 | − | 0.785194i | \(-0.712563\pi\) |
0.370373 | + | 0.928883i | \(0.379230\pi\) | |||||||
\(912\) | 4.36961 | − | 3.82325i | 0.144692 | − | 0.126601i | ||||
\(913\) | −13.6495 | + | 13.6495i | −0.451731 | + | 0.451731i | ||||
\(914\) | 35.0536 | + | 35.0536i | 1.15947 | + | 1.15947i | ||||
\(915\) | −12.6409 | − | 63.9305i | −0.417896 | − | 2.11348i | ||||
\(916\) | 5.35019 | − | 19.9672i | 0.176775 | − | 0.659735i | ||||
\(917\) | −15.2811 | + | 8.82252i | −0.504625 | + | 0.291345i | ||||
\(918\) | −5.67323 | − | 5.00967i | −0.187244 | − | 0.165344i | ||||
\(919\) | 19.7424 | + | 19.7424i | 0.651242 | + | 0.651242i | 0.953292 | − | 0.302050i | \(-0.0976710\pi\) |
−0.302050 | + | 0.953292i | \(0.597671\pi\) | |||||||
\(920\) | −27.4667 | + | 7.35969i | −0.905551 | + | 0.242642i | ||||
\(921\) | −8.64220 | − | 17.5751i | −0.284770 | − | 0.579118i | ||||
\(922\) | −78.9569 | + | 21.1564i | −2.60031 | + | 0.696750i | ||||
\(923\) | −20.1820 | + | 34.9563i | −0.664299 | + | 1.15060i | ||||
\(924\) | 3.28147 | − | 49.2071i | 0.107952 | − | 1.61880i | ||||
\(925\) | 16.2651 | + | 9.39066i | 0.534793 | + | 0.308763i | ||||
\(926\) | −89.2715 | −2.93364 | ||||||||
\(927\) | 5.52494 | + | 42.7175i | 0.181463 | + | 1.40303i | ||||
\(928\) | − | 54.0509i | − | 1.77431i | ||||||
\(929\) | −11.0821 | + | 6.39825i | −0.363592 | + | 0.209920i | −0.670655 | − | 0.741769i | \(-0.733987\pi\) |
0.307063 | + | 0.951689i | \(0.400654\pi\) | |||||||
\(930\) | −26.7838 | − | 9.12588i | −0.878274 | − | 0.299249i | ||||
\(931\) | −15.0330 | − | 8.67930i | −0.492686 | − | 0.284452i | ||||
\(932\) | 0.968969 | + | 0.559435i | 0.0317396 | + | 0.0183249i | ||||
\(933\) | 13.1041 | + | 14.9767i | 0.429008 | + | 0.490315i | ||||
\(934\) | 43.5735 | + | 43.5735i | 1.42577 | + | 1.42577i | ||||
\(935\) | 5.77714 | − | 5.77714i | 0.188933 | − | 0.188933i | ||||
\(936\) | 23.4955 | + | 30.7647i | 0.767975 | + | 1.00558i | ||||
\(937\) | −6.82397 | − | 25.4674i | −0.222929 | − | 0.831984i | −0.983224 | − | 0.182405i | \(-0.941612\pi\) |
0.760294 | − | 0.649579i | \(-0.225055\pi\) | |||||||
\(938\) | 48.7870i | 1.59295i | ||||||||
\(939\) | 9.85750 | − | 28.9310i | 0.321687 | − | 0.944128i | ||||
\(940\) | −49.3599 | + | 49.3599i | −1.60994 | + | 1.60994i | ||||
\(941\) | −41.5295 | −1.35382 | −0.676912 | − | 0.736064i | \(-0.736682\pi\) | ||||
−0.676912 | + | 0.736064i | \(0.736682\pi\) | |||||||
\(942\) | 47.5631 | + | 11.7902i | 1.54969 | + | 0.384147i | ||||
\(943\) | 33.1409 | 1.07922 | ||||||||
\(944\) | −0.774022 | + | 0.774022i | −0.0251923 | + | 0.0251923i | ||||
\(945\) | 1.73411 | + | 27.9180i | 0.0564106 | + | 0.908174i | ||||
\(946\) | 11.3834i | 0.370106i | ||||||||
\(947\) | −2.93395 | − | 10.9496i | −0.0953404 | − | 0.355815i | 0.901730 | − | 0.432299i | \(-0.142297\pi\) |
−0.997071 | + | 0.0764835i | \(0.975631\pi\) | |||||||
\(948\) | 16.1032 | + | 32.7480i | 0.523008 | + | 1.06361i | ||||
\(949\) | −29.3196 | + | 29.3196i | −0.951754 | + | 0.951754i | ||||
\(950\) | 21.6669 | + | 21.6669i | 0.702968 | + | 0.702968i | ||||
\(951\) | 36.5596 | − | 31.9883i | 1.18553 | − | 1.03729i | ||||
\(952\) | 2.73794 | + | 1.58075i | 0.0887370 | + | 0.0512323i | ||||
\(953\) | 15.9146 | + | 9.18830i | 0.515525 | + | 0.297638i | 0.735102 | − | 0.677957i | \(-0.237134\pi\) |
−0.219577 | + | 0.975595i | \(0.570468\pi\) | |||||||
\(954\) | 2.27539 | − | 16.9844i | 0.0736686 | − | 0.549891i | ||||
\(955\) | 21.9681 | − | 12.6833i | 0.710871 | − | 0.410422i | ||||
\(956\) | 54.2772i | 1.75545i | ||||||||
\(957\) | 68.8530 | + | 4.59159i | 2.22570 | + | 0.148425i | ||||
\(958\) | 30.3536 | 0.980680 | ||||||||
\(959\) | 12.0439 | + | 6.95358i | 0.388919 | + | 0.224543i | ||||
\(960\) | −61.4243 | − | 4.09620i | −1.98246 | − | 0.132204i | ||||
\(961\) | −11.9719 | + | 20.7359i | −0.386190 | + | 0.668900i | ||||
\(962\) | 88.1250 | − | 23.6130i | 2.84126 | − | 0.761314i | ||||
\(963\) | −34.1759 | − | 44.7495i | −1.10130 | − | 1.44203i | ||||
\(964\) | 23.6711 | − | 6.34266i | 0.762395 | − | 0.204283i | ||||
\(965\) | 22.7269 | + | 22.7269i | 0.731605 | + | 0.731605i | ||||
\(966\) | −29.2023 | + | 14.3597i | −0.939567 | + | 0.462014i | ||||
\(967\) | 33.9468 | − | 19.5992i | 1.09166 | − | 0.630268i | 0.157640 | − | 0.987497i | \(-0.449612\pi\) |
0.934017 | + | 0.357228i | \(0.116278\pi\) | |||||||
\(968\) | −6.81691 | + | 25.4411i | −0.219104 | + | 0.817707i | ||||
\(969\) | −6.14986 | + | 1.21601i | −0.197562 | + | 0.0390638i | ||||
\(970\) | −40.7262 | − | 40.7262i | −1.30764 | − | 1.30764i | ||||
\(971\) | 2.75128 | − | 2.75128i | 0.0882927 | − | 0.0882927i | −0.661581 | − | 0.749874i | \(-0.730114\pi\) |
0.749874 | + | 0.661581i | \(0.230114\pi\) | |||||||
\(972\) | −48.1743 | − | 3.43300i | −1.54519 | − | 0.110114i | ||||
\(973\) | −30.4699 | + | 17.5918i | −0.976821 | + | 0.563968i | ||||
\(974\) | −22.6333 | + | 22.6333i | −0.725218 | + | 0.725218i | ||||
\(975\) | 16.4065 | − | 14.3551i | 0.525429 | − | 0.459732i | ||||
\(976\) | 7.97193 | − | 2.13607i | 0.255175 | − | 0.0683740i | ||||
\(977\) | −24.9482 | − | 14.4038i | −0.798164 | − | 0.460820i | 0.0446650 | − | 0.999002i | \(-0.485778\pi\) |
−0.842829 | + | 0.538182i | \(0.819111\pi\) | |||||||
\(978\) | 16.9426 | + | 19.3638i | 0.541766 | + | 0.619186i | ||||
\(979\) | 8.12591 | + | 14.0745i | 0.259705 | + | 0.449822i | ||||
\(980\) | 6.75732 | + | 25.2186i | 0.215855 | + | 0.805580i | ||||
\(981\) | −13.7510 | + | 5.65922i | −0.439037 | + | 0.180685i | ||||
\(982\) | −35.6116 | + | 61.6812i | −1.13641 | + | 1.96833i | ||||
\(983\) | 2.13967 | − | 2.13967i | 0.0682448 | − | 0.0682448i | −0.672161 | − | 0.740405i | \(-0.734634\pi\) |
0.740405 | + | 0.672161i | \(0.234634\pi\) | |||||||
\(984\) | −32.0020 | − | 10.9038i | −1.02019 | − | 0.347602i | ||||
\(985\) | −9.70783 | + | 36.2301i | −0.309317 | + | 1.15439i | ||||
\(986\) | −6.23993 | + | 10.8079i | −0.198720 | + | 0.344193i | ||||
\(987\) | −15.7588 | + | 23.5268i | −0.501609 | + | 0.748865i | ||||
\(988\) | 90.4556 | 2.87777 | ||||||||
\(989\) | 3.95318 | − | 2.28237i | 0.125704 | − | 0.0725751i | ||||
\(990\) | 11.3916 | − | 85.0310i | 0.362047 | − | 2.70246i | ||||
\(991\) | 10.8201i | 0.343711i | 0.985122 | + | 0.171855i | \(0.0549762\pi\) | ||||
−0.985122 | + | 0.171855i | \(0.945024\pi\) | |||||||
\(992\) | 4.33715 | − | 16.1865i | 0.137705 | − | 0.513921i | ||||
\(993\) | −40.5447 | + | 35.4752i | −1.28665 | + | 1.12577i | ||||
\(994\) | 17.3077 | + | 29.9778i | 0.548967 | + | 0.950839i | ||||
\(995\) | 15.7011 | − | 58.5972i | 0.497757 | − | 1.85765i | ||||
\(996\) | −18.5087 | − | 12.3976i | −0.586469 | − | 0.392833i | ||||
\(997\) | −4.16012 | + | 15.5258i | −0.131752 | + | 0.491706i | −0.999990 | − | 0.00444189i | \(-0.998586\pi\) |
0.868238 | + | 0.496148i | \(0.165253\pi\) | |||||||
\(998\) | 84.5819 | 2.67739 | ||||||||
\(999\) | −17.9688 | + | 36.1256i | −0.568509 | + | 1.14296i |
(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 | 471.2.l.b.50.6 | ✓ | 200 | |
3.2 | odd | 2 | inner | 471.2.l.b.50.45 | yes | 200 | |
157.22 | odd | 12 | inner | 471.2.l.b.179.45 | yes | 200 | |
471.179 | even | 12 | inner | 471.2.l.b.179.6 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
471.2.l.b.50.6 | ✓ | 200 | 1.1 | even | 1 | trivial | |
471.2.l.b.50.45 | yes | 200 | 3.2 | odd | 2 | inner | |
471.2.l.b.179.6 | yes | 200 | 471.179 | even | 12 | inner | |
471.2.l.b.179.45 | yes | 200 | 157.22 | odd | 12 | inner |