Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 139.20 | ||
Character | \(\chi\) | \(=\) | 588.139 |
Dual form | 588.2.x.a.55.20 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.745941 | + | 1.20149i | 0.527460 | + | 0.849580i | ||||
\(3\) | −0.900969 | + | 0.433884i | −0.520175 | + | 0.250503i | ||||
\(4\) | −0.887143 | + | 1.79248i | −0.443571 | + | 0.896239i | ||||
\(5\) | 0.0475607 | + | 0.0987608i | 0.0212698 | + | 0.0441672i | 0.911333 | − | 0.411670i | \(-0.135054\pi\) |
−0.890063 | + | 0.455837i | \(0.849340\pi\) | |||||||
\(6\) | −1.19338 | − | 0.758851i | −0.487194 | − | 0.309799i | ||||
\(7\) | −1.69059 | − | 2.03517i | −0.638981 | − | 0.769222i | ||||
\(8\) | −2.81540 | + | 0.271193i | −0.995393 | + | 0.0958812i | ||||
\(9\) | 0.623490 | − | 0.781831i | 0.207830 | − | 0.260610i | ||||
\(10\) | −0.0831823 | + | 0.130813i | −0.0263046 | + | 0.0413668i | ||||
\(11\) | −0.607046 | + | 0.484103i | −0.183031 | + | 0.145963i | −0.710719 | − | 0.703476i | \(-0.751630\pi\) |
0.527688 | + | 0.849438i | \(0.323059\pi\) | |||||||
\(12\) | 0.0215610 | − | 1.99988i | 0.00622411 | − | 0.577317i | ||||
\(13\) | −3.65889 | + | 2.91786i | −1.01479 | + | 0.809270i | −0.981748 | − | 0.190184i | \(-0.939092\pi\) |
−0.0330441 | + | 0.999454i | \(0.510520\pi\) | |||||||
\(14\) | 1.18415 | − | 3.54933i | 0.316479 | − | 0.948600i | ||||
\(15\) | −0.0857014 | − | 0.0683446i | −0.0221280 | − | 0.0176465i | ||||
\(16\) | −2.42596 | − | 3.18037i | −0.606489 | − | 0.795092i | ||||
\(17\) | −1.57832 | + | 0.360242i | −0.382799 | + | 0.0873715i | −0.409590 | − | 0.912270i | \(-0.634328\pi\) |
0.0267908 | + | 0.999641i | \(0.491471\pi\) | |||||||
\(18\) | 1.40445 | + | 0.165915i | 0.331031 | + | 0.0391064i | ||||
\(19\) | −6.49070 | −1.48907 | −0.744534 | − | 0.667585i | \(-0.767328\pi\) | ||||
−0.744534 | + | 0.667585i | \(0.767328\pi\) | |||||||
\(20\) | −0.219220 | − | 0.00236343i | −0.0490190 | − | 0.000528479i | ||||
\(21\) | 2.40619 | + | 1.10011i | 0.525074 | + | 0.240063i | ||||
\(22\) | −1.03446 | − | 0.368245i | −0.220548 | − | 0.0785102i | ||||
\(23\) | −3.61344 | − | 0.824745i | −0.753455 | − | 0.171971i | −0.171491 | − | 0.985186i | \(-0.554858\pi\) |
−0.581964 | + | 0.813214i | \(0.697716\pi\) | |||||||
\(24\) | 2.41892 | − | 1.46589i | 0.493760 | − | 0.299224i | ||||
\(25\) | 3.10996 | − | 3.89976i | 0.621991 | − | 0.779953i | ||||
\(26\) | −6.23509 | − | 2.21955i | −1.22280 | − | 0.435289i | ||||
\(27\) | −0.222521 | + | 0.974928i | −0.0428242 | + | 0.187625i | ||||
\(28\) | 5.14779 | − | 1.22485i | 0.972841 | − | 0.231475i | ||||
\(29\) | −1.30614 | − | 5.72258i | −0.242544 | − | 1.06266i | −0.938692 | − | 0.344758i | \(-0.887961\pi\) |
0.696147 | − | 0.717899i | \(-0.254896\pi\) | |||||||
\(30\) | 0.0181869 | − | 0.153950i | 0.00332046 | − | 0.0281073i | ||||
\(31\) | 4.12388 | 0.740670 | 0.370335 | − | 0.928898i | \(-0.379243\pi\) | ||||
0.370335 | + | 0.928898i | \(0.379243\pi\) | |||||||
\(32\) | 2.01155 | − | 5.28712i | 0.355595 | − | 0.934640i | ||||
\(33\) | 0.336885 | − | 0.699549i | 0.0586442 | − | 0.121776i | ||||
\(34\) | −1.61016 | − | 1.62762i | −0.276141 | − | 0.279134i | ||||
\(35\) | 0.120590 | − | 0.263758i | 0.0203834 | − | 0.0445832i | ||||
\(36\) | 0.848291 | + | 1.81119i | 0.141382 | + | 0.301865i | ||||
\(37\) | 1.29408 | + | 5.66975i | 0.212746 | + | 0.932101i | 0.962691 | + | 0.270602i | \(0.0872226\pi\) |
−0.749945 | + | 0.661500i | \(0.769920\pi\) | |||||||
\(38\) | −4.84168 | − | 7.79849i | −0.785424 | − | 1.26508i | ||||
\(39\) | 2.03053 | − | 4.21644i | 0.325145 | − | 0.675170i | ||||
\(40\) | −0.160685 | − | 0.265153i | −0.0254066 | − | 0.0419243i | ||||
\(41\) | 2.18982 | + | 4.54720i | 0.341992 | + | 0.710153i | 0.999045 | − | 0.0436909i | \(-0.0139117\pi\) |
−0.657053 | + | 0.753844i | \(0.728197\pi\) | |||||||
\(42\) | 0.473112 | + | 3.71163i | 0.0730028 | + | 0.572716i | ||||
\(43\) | −1.15768 | + | 2.40394i | −0.176544 | + | 0.366598i | −0.970398 | − | 0.241511i | \(-0.922357\pi\) |
0.793854 | + | 0.608109i | \(0.208071\pi\) | |||||||
\(44\) | −0.329208 | − | 1.51758i | −0.0496299 | − | 0.228785i | ||||
\(45\) | 0.106868 | + | 0.0243919i | 0.0159309 | + | 0.00363613i | ||||
\(46\) | −1.70450 | − | 4.95672i | −0.251314 | − | 0.730828i | ||||
\(47\) | 6.73395 | + | 8.44410i | 0.982247 | + | 1.23170i | 0.972777 | + | 0.231744i | \(0.0744431\pi\) |
0.00947034 | + | 0.999955i | \(0.496985\pi\) | |||||||
\(48\) | 3.56562 | + | 1.81283i | 0.514653 | + | 0.261659i | ||||
\(49\) | −1.28384 | + | 6.88126i | −0.183406 | + | 0.983037i | ||||
\(50\) | 7.00536 | + | 0.827579i | 0.990708 | + | 0.117037i | ||||
\(51\) | 1.26572 | − | 1.00938i | 0.177236 | − | 0.141341i | ||||
\(52\) | −1.98425 | − | 9.14704i | −0.275166 | − | 1.26847i | ||||
\(53\) | 2.17573 | − | 9.53250i | 0.298860 | − | 1.30939i | −0.572968 | − | 0.819577i | \(-0.694208\pi\) |
0.871828 | − | 0.489812i | \(-0.162935\pi\) | |||||||
\(54\) | −1.33735 | + | 0.459883i | −0.181990 | + | 0.0625822i | ||||
\(55\) | −0.0766819 | − | 0.0369280i | −0.0103398 | − | 0.00497938i | ||||
\(56\) | 5.31159 | + | 5.27134i | 0.709791 | + | 0.704412i | ||||
\(57\) | 5.84792 | − | 2.81621i | 0.774575 | − | 0.373016i | ||||
\(58\) | 5.90130 | − | 5.83802i | 0.774879 | − | 0.766570i | ||||
\(59\) | −6.47582 | − | 3.11859i | −0.843080 | − | 0.406006i | −0.0380759 | − | 0.999275i | \(-0.512123\pi\) |
−0.805004 | + | 0.593269i | \(0.797837\pi\) | |||||||
\(60\) | 0.198535 | − | 0.0929864i | 0.0256308 | − | 0.0120045i | ||||
\(61\) | −15.1080 | + | 3.44831i | −1.93439 | + | 0.441511i | −0.939218 | + | 0.343323i | \(0.888448\pi\) |
−0.995168 | + | 0.0981882i | \(0.968695\pi\) | |||||||
\(62\) | 3.07617 | + | 4.95479i | 0.390674 | + | 0.629258i | ||||
\(63\) | −2.64522 | + | 0.0528441i | −0.333267 | + | 0.00665773i | ||||
\(64\) | 7.85291 | − | 1.52703i | 0.981614 | − | 0.190879i | ||||
\(65\) | −0.462190 | − | 0.222579i | −0.0573276 | − | 0.0276075i | ||||
\(66\) | 1.09180 | − | 0.117060i | 0.134391 | − | 0.0144090i | ||||
\(67\) | 14.3784i | 1.75660i | 0.478110 | + | 0.878300i | \(0.341322\pi\) | ||||
−0.478110 | + | 0.878300i | \(0.658678\pi\) | |||||||
\(68\) | 0.754472 | − | 3.14869i | 0.0914932 | − | 0.381835i | ||||
\(69\) | 3.61344 | − | 0.824745i | 0.435008 | − | 0.0992877i | ||||
\(70\) | 0.406854 | − | 0.0518607i | 0.0486284 | − | 0.00619854i | ||||
\(71\) | −10.7246 | − | 2.44781i | −1.27277 | − | 0.290502i | −0.467811 | − | 0.883829i | \(-0.654957\pi\) |
−0.804962 | + | 0.593327i | \(0.797814\pi\) | |||||||
\(72\) | −1.54334 | + | 2.37025i | −0.181885 | + | 0.279337i | ||||
\(73\) | 3.95395 | + | 3.15317i | 0.462774 | + | 0.369050i | 0.826946 | − | 0.562282i | \(-0.190076\pi\) |
−0.364171 | + | 0.931332i | \(0.618648\pi\) | |||||||
\(74\) | −5.84682 | + | 5.78413i | −0.679679 | + | 0.672391i | ||||
\(75\) | −1.10993 | + | 4.86293i | −0.128164 | + | 0.561522i | ||||
\(76\) | 5.75817 | − | 11.6344i | 0.660508 | − | 1.33456i | ||||
\(77\) | 2.01150 | + | 0.417025i | 0.229231 | + | 0.0475244i | ||||
\(78\) | 6.58065 | − | 0.705560i | 0.745112 | − | 0.0798890i | ||||
\(79\) | − | 0.854048i | − | 0.0960879i | −0.998845 | − | 0.0480440i | \(-0.984701\pi\) | ||
0.998845 | − | 0.0480440i | \(-0.0152988\pi\) | |||||||
\(80\) | 0.198715 | − | 0.390850i | 0.0222171 | − | 0.0436983i | ||||
\(81\) | −0.222521 | − | 0.974928i | −0.0247245 | − | 0.108325i | ||||
\(82\) | −3.82993 | + | 6.02298i | −0.422945 | + | 0.665127i | ||||
\(83\) | −7.21987 | + | 9.05343i | −0.792484 | + | 0.993743i | 0.207396 | + | 0.978257i | \(0.433501\pi\) |
−0.999880 | + | 0.0154862i | \(0.995070\pi\) | |||||||
\(84\) | −4.10656 | + | 3.33709i | −0.448062 | + | 0.364107i | ||||
\(85\) | −0.110644 | − | 0.138743i | −0.0120010 | − | 0.0150488i | ||||
\(86\) | −3.75187 | + | 0.402266i | −0.404574 | + | 0.0433774i | ||||
\(87\) | 3.65973 | + | 4.58915i | 0.392364 | + | 0.492009i | ||||
\(88\) | 1.57779 | − | 1.52757i | 0.168193 | − | 0.162839i | ||||
\(89\) | −11.4673 | − | 9.14485i | −1.21553 | − | 0.969353i | −0.215555 | − | 0.976492i | \(-0.569156\pi\) |
−0.999975 | + | 0.00713912i | \(0.997728\pi\) | |||||||
\(90\) | 0.0504106 | + | 0.146595i | 0.00531375 | + | 0.0154525i | ||||
\(91\) | 12.1240 | + | 2.51356i | 1.27094 | + | 0.263493i | ||||
\(92\) | 4.68398 | − | 5.74535i | 0.488339 | − | 0.598995i | ||||
\(93\) | −3.71548 | + | 1.78928i | −0.385278 | + | 0.185540i | ||||
\(94\) | −5.12235 | + | 14.3896i | −0.528330 | + | 1.48417i | ||||
\(95\) | −0.308702 | − | 0.641026i | −0.0316721 | − | 0.0657679i | ||||
\(96\) | 0.481652 | + | 5.63631i | 0.0491584 | + | 0.575254i | ||||
\(97\) | 3.64969i | 0.370569i | 0.982685 | + | 0.185285i | \(0.0593207\pi\) | ||||
−0.982685 | + | 0.185285i | \(0.940679\pi\) | |||||||
\(98\) | −9.22542 | + | 3.59049i | −0.931908 | + | 0.362695i | ||||
\(99\) | 0.776441i | 0.0780352i | ||||||||
\(100\) | 4.23126 | + | 9.03418i | 0.423126 | + | 0.903418i | ||||
\(101\) | −4.79759 | − | 9.96229i | −0.477378 | − | 0.991285i | −0.991074 | − | 0.133313i | \(-0.957438\pi\) |
0.513696 | − | 0.857972i | \(-0.328276\pi\) | |||||||
\(102\) | 2.15690 | + | 0.767807i | 0.213565 | + | 0.0760243i | ||||
\(103\) | −5.40810 | + | 2.60440i | −0.532876 | + | 0.256620i | −0.680916 | − | 0.732362i | \(-0.738418\pi\) |
0.148040 | + | 0.988981i | \(0.452704\pi\) | |||||||
\(104\) | 9.50991 | − | 9.20721i | 0.932523 | − | 0.902841i | ||||
\(105\) | 0.00579256 | + | 0.289959i | 0.000565296 | + | 0.0282971i | ||||
\(106\) | 13.0761 | − | 4.49657i | 1.27007 | − | 0.436746i | ||||
\(107\) | 9.41315 | + | 7.50674i | 0.910004 | + | 0.725704i | 0.962031 | − | 0.272942i | \(-0.0879966\pi\) |
−0.0520266 | + | 0.998646i | \(0.516568\pi\) | |||||||
\(108\) | −1.55013 | − | 1.26376i | −0.149161 | − | 0.121606i | ||||
\(109\) | 8.11846 | + | 10.1802i | 0.777608 | + | 0.975089i | 1.00000 | 0.000132066i | \(4.20378e-5\pi\) | |
−0.222392 | + | 0.974957i | \(0.571387\pi\) | |||||||
\(110\) | −0.0128316 | − | 0.119678i | −0.00122345 | − | 0.0114109i | ||||
\(111\) | −3.62594 | − | 4.54679i | −0.344159 | − | 0.431562i | ||||
\(112\) | −2.37131 | + | 10.3139i | −0.224068 | + | 0.974574i | ||||
\(113\) | 5.58992 | − | 7.00954i | 0.525855 | − | 0.659402i | −0.445985 | − | 0.895040i | \(-0.647147\pi\) |
0.971841 | + | 0.235638i | \(0.0757181\pi\) | |||||||
\(114\) | 7.74584 | + | 4.92547i | 0.725464 | + | 0.461312i | ||||
\(115\) | −0.0904054 | − | 0.396092i | −0.00843035 | − | 0.0369358i | ||||
\(116\) | 11.4163 | + | 2.73552i | 1.05998 | + | 0.253986i | ||||
\(117\) | 4.67989i | 0.432656i | ||||||||
\(118\) | −1.08364 | − | 10.1069i | −0.0997568 | − | 0.930416i | ||||
\(119\) | 3.40144 | + | 2.60314i | 0.311810 | + | 0.238629i | ||||
\(120\) | 0.259818 | + | 0.169175i | 0.0237180 | + | 0.0154435i | ||||
\(121\) | −2.31358 | + | 10.1365i | −0.210326 | + | 0.921497i | ||||
\(122\) | −15.4128 | − | 15.5799i | −1.39541 | − | 1.41054i | ||||
\(123\) | −3.94591 | − | 3.14676i | −0.355791 | − | 0.283734i | ||||
\(124\) | −3.65847 | + | 7.39196i | −0.328540 | + | 0.663818i | ||||
\(125\) | 1.06739 | + | 0.243626i | 0.0954707 | + | 0.0217906i | ||||
\(126\) | −2.03667 | − | 3.13878i | −0.181441 | − | 0.279625i | ||||
\(127\) | 7.38907 | − | 1.68651i | 0.655674 | − | 0.149653i | 0.118274 | − | 0.992981i | \(-0.462264\pi\) |
0.537400 | + | 0.843328i | \(0.319407\pi\) | |||||||
\(128\) | 7.69252 | + | 8.29609i | 0.679929 | + | 0.733278i | ||||
\(129\) | − | 2.66818i | − | 0.234920i | ||||||
\(130\) | −0.0773408 | − | 0.721346i | −0.00678324 | − | 0.0632662i | ||||
\(131\) | 1.29999 | + | 0.626040i | 0.113580 | + | 0.0546974i | 0.489811 | − | 0.871829i | \(-0.337066\pi\) |
−0.376231 | + | 0.926526i | \(0.622780\pi\) | |||||||
\(132\) | 0.955061 | + | 1.22446i | 0.0831274 | + | 0.106575i | ||||
\(133\) | 10.9731 | + | 13.2097i | 0.951486 | + | 1.14542i | ||||
\(134\) | −17.2754 | + | 10.7254i | −1.49237 | + | 0.926536i | ||||
\(135\) | −0.106868 | + | 0.0243919i | −0.00919772 | + | 0.00209932i | ||||
\(136\) | 4.34591 | − | 1.44225i | 0.372659 | − | 0.123672i | ||||
\(137\) | 4.37674 | + | 2.10773i | 0.373930 | + | 0.180075i | 0.611404 | − | 0.791319i | \(-0.290605\pi\) |
−0.237474 | + | 0.971394i | \(0.576319\pi\) | |||||||
\(138\) | 3.68634 | + | 3.72630i | 0.313802 | + | 0.317203i | ||||
\(139\) | 4.45120 | − | 2.14358i | 0.377546 | − | 0.181816i | −0.235480 | − | 0.971879i | \(-0.575666\pi\) |
0.613026 | + | 0.790063i | \(0.289952\pi\) | |||||||
\(140\) | 0.365799 | + | 0.450145i | 0.0309157 | + | 0.0380442i | ||||
\(141\) | −9.73084 | − | 4.68612i | −0.819484 | − | 0.394643i | ||||
\(142\) | −5.05888 | − | 14.7114i | −0.424532 | − | 1.23455i | ||||
\(143\) | 0.808565 | − | 3.54256i | 0.0676156 | − | 0.296243i | ||||
\(144\) | −3.99907 | − | 0.0862388i | −0.333256 | − | 0.00718657i | ||||
\(145\) | 0.503045 | − | 0.401165i | 0.0417756 | − | 0.0333150i | ||||
\(146\) | −0.839077 | + | 7.10269i | −0.0694425 | + | 0.587823i | ||||
\(147\) | −1.82896 | − | 6.75684i | −0.150850 | − | 0.557295i | ||||
\(148\) | −11.3109 | − | 2.71026i | −0.929754 | − | 0.222782i | ||||
\(149\) | −2.53180 | − | 3.17477i | −0.207413 | − | 0.260088i | 0.667234 | − | 0.744848i | \(-0.267478\pi\) |
−0.874647 | + | 0.484761i | \(0.838907\pi\) | |||||||
\(150\) | −6.67069 | + | 2.29389i | −0.544659 | + | 0.187295i | ||||
\(151\) | 1.29365 | + | 0.295268i | 0.105276 | + | 0.0240285i | 0.274834 | − | 0.961492i | \(-0.411377\pi\) |
−0.169558 | + | 0.985520i | \(0.554234\pi\) | |||||||
\(152\) | 18.2739 | − | 1.76023i | 1.48221 | − | 0.142774i | ||||
\(153\) | −0.702420 | + | 1.45859i | −0.0567873 | + | 0.117920i | ||||
\(154\) | 0.999407 | + | 2.72786i | 0.0805345 | + | 0.219817i | ||||
\(155\) | 0.196134 | + | 0.407277i | 0.0157539 | + | 0.0327133i | ||||
\(156\) | 5.75650 | + | 7.38026i | 0.460889 | + | 0.590894i | ||||
\(157\) | 4.12220 | − | 8.55983i | 0.328987 | − | 0.683149i | −0.669216 | − | 0.743068i | \(-0.733370\pi\) |
0.998203 | + | 0.0599188i | \(0.0190842\pi\) | |||||||
\(158\) | 1.02613 | − | 0.637070i | 0.0816344 | − | 0.0506826i | ||||
\(159\) | 2.17573 | + | 9.53250i | 0.172547 | + | 0.755976i | ||||
\(160\) | 0.617831 | − | 0.0527968i | 0.0488438 | − | 0.00417395i | ||||
\(161\) | 4.43034 | + | 8.74828i | 0.349160 | + | 0.689461i | ||||
\(162\) | 1.00538 | − | 0.994595i | 0.0789898 | − | 0.0781428i | ||||
\(163\) | −0.993052 | + | 2.06209i | −0.0777819 | + | 0.161516i | −0.936233 | − | 0.351379i | \(-0.885713\pi\) |
0.858451 | + | 0.512895i | \(0.171427\pi\) | |||||||
\(164\) | −10.0934 | − | 0.108818i | −0.788165 | − | 0.00849729i | ||||
\(165\) | 0.0851105 | 0.00662584 | ||||||||
\(166\) | −16.2632 | − | 1.92125i | −1.26227 | − | 0.149118i | ||||
\(167\) | −1.58304 | − | 6.93576i | −0.122499 | − | 0.536705i | −0.998518 | − | 0.0544273i | \(-0.982667\pi\) |
0.876018 | − | 0.482278i | \(-0.160190\pi\) | |||||||
\(168\) | −7.07273 | − | 2.44470i | −0.545673 | − | 0.188613i | ||||
\(169\) | 1.98074 | − | 8.67821i | 0.152365 | − | 0.667555i | ||||
\(170\) | 0.0841641 | − | 0.236431i | 0.00645509 | − | 0.0181335i | ||||
\(171\) | −4.04688 | + | 5.07463i | −0.309473 | + | 0.388067i | ||||
\(172\) | −3.28199 | − | 4.20775i | −0.250249 | − | 0.320838i | ||||
\(173\) | −20.8094 | − | 4.74962i | −1.58211 | − | 0.361107i | −0.660995 | − | 0.750390i | \(-0.729866\pi\) |
−0.921118 | + | 0.389283i | \(0.872723\pi\) | |||||||
\(174\) | −2.78387 | + | 7.82036i | −0.211044 | + | 0.592860i | ||||
\(175\) | −13.1943 | + | 0.263585i | −0.997398 | + | 0.0199252i | ||||
\(176\) | 3.01229 | + | 0.756217i | 0.227060 | + | 0.0570020i | ||||
\(177\) | 7.18762 | 0.540255 | ||||||||
\(178\) | 2.43350 | − | 20.5993i | 0.182399 | − | 1.54398i | ||||
\(179\) | 11.9681 | − | 2.73164i | 0.894538 | − | 0.204172i | 0.249547 | − | 0.968363i | \(-0.419718\pi\) |
0.644991 | + | 0.764190i | \(0.276861\pi\) | |||||||
\(180\) | −0.138529 | + | 0.169919i | −0.0103253 | + | 0.0126650i | ||||
\(181\) | 10.4869 | + | 8.36302i | 0.779484 | + | 0.621618i | 0.930239 | − | 0.366953i | \(-0.119599\pi\) |
−0.150755 | + | 0.988571i | \(0.548170\pi\) | |||||||
\(182\) | 6.02379 | + | 16.4418i | 0.446513 | + | 1.21875i | ||||
\(183\) | 12.1157 | − | 9.66195i | 0.895618 | − | 0.714232i | ||||
\(184\) | 10.3969 | + | 1.34204i | 0.766473 | + | 0.0989368i | ||||
\(185\) | −0.498401 | + | 0.397462i | −0.0366432 | + | 0.0292220i | ||||
\(186\) | −4.92133 | − | 3.12941i | −0.360850 | − | 0.229459i | ||||
\(187\) | 0.783720 | − | 0.982754i | 0.0573113 | − | 0.0718661i | ||||
\(188\) | −21.1098 | + | 4.57933i | −1.53959 | + | 0.333982i | ||||
\(189\) | 2.36034 | − | 1.19533i | 0.171689 | − | 0.0869475i | ||||
\(190\) | 0.539911 | − | 0.849069i | 0.0391693 | − | 0.0615980i | ||||
\(191\) | −9.23609 | − | 19.1789i | −0.668300 | − | 1.38774i | −0.908859 | − | 0.417105i | \(-0.863045\pi\) |
0.240559 | − | 0.970635i | \(-0.422669\pi\) | |||||||
\(192\) | −6.41267 | + | 4.78306i | −0.462795 | + | 0.345187i | ||||
\(193\) | 3.21301 | − | 1.54731i | 0.231278 | − | 0.111378i | −0.314656 | − | 0.949206i | \(-0.601889\pi\) |
0.545934 | + | 0.837828i | \(0.316175\pi\) | |||||||
\(194\) | −4.38505 | + | 2.72245i | −0.314828 | + | 0.195461i | ||||
\(195\) | 0.512992 | 0.0367361 | ||||||||
\(196\) | −11.1956 | − | 8.40592i | −0.799682 | − | 0.600423i | ||||
\(197\) | −0.624215 | −0.0444735 | −0.0222367 | − | 0.999753i | \(-0.507079\pi\) | ||||
−0.0222367 | + | 0.999753i | \(0.507079\pi\) | |||||||
\(198\) | −0.932884 | + | 0.579179i | −0.0662972 | + | 0.0411605i | ||||
\(199\) | 7.34694 | − | 3.53810i | 0.520811 | − | 0.250809i | −0.154961 | − | 0.987921i | \(-0.549525\pi\) |
0.675771 | + | 0.737112i | \(0.263811\pi\) | |||||||
\(200\) | −7.69817 | + | 11.8228i | −0.544343 | + | 0.835997i | ||||
\(201\) | −6.23855 | − | 12.9545i | −0.440033 | − | 0.913739i | ||||
\(202\) | 8.39085 | − | 13.1955i | 0.590378 | − | 0.928434i | ||||
\(203\) | −9.43829 | + | 12.3327i | −0.662438 | + | 0.865588i | ||||
\(204\) | 0.686412 | + | 3.16423i | 0.0480584 | + | 0.221540i | ||||
\(205\) | −0.344936 | + | 0.432536i | −0.0240914 | + | 0.0302096i | ||||
\(206\) | −7.16329 | − | 4.55503i | −0.499090 | − | 0.317364i | ||||
\(207\) | −2.89776 | + | 2.31088i | −0.201408 | + | 0.160618i | ||||
\(208\) | 18.1562 | + | 4.55800i | 1.25890 | + | 0.316040i | ||||
\(209\) | 3.94015 | − | 3.14217i | 0.272546 | − | 0.217348i | ||||
\(210\) | −0.344061 | + | 0.223252i | −0.0237425 | + | 0.0154059i | ||||
\(211\) | −16.9535 | − | 13.5199i | −1.16712 | − | 0.930751i | −0.168634 | − | 0.985679i | \(-0.553936\pi\) |
−0.998490 | + | 0.0549280i | \(0.982507\pi\) | |||||||
\(212\) | 15.1566 | + | 12.3566i | 1.04096 | + | 0.848657i | ||||
\(213\) | 10.7246 | − | 2.44781i | 0.734835 | − | 0.167721i | ||||
\(214\) | −1.99759 | + | 16.9094i | −0.136552 | + | 1.15590i | ||||
\(215\) | −0.292475 | −0.0199466 | ||||||||
\(216\) | 0.362091 | − | 2.80515i | 0.0246372 | − | 0.190867i | ||||
\(217\) | −6.97177 | − | 8.39280i | −0.473274 | − | 0.569740i | ||||
\(218\) | −6.17552 | + | 17.3481i | −0.418259 | + | 1.17496i | ||||
\(219\) | −4.93049 | − | 1.12535i | −0.333172 | − | 0.0760442i | ||||
\(220\) | 0.134220 | − | 0.104690i | 0.00904914 | − | 0.00705821i | ||||
\(221\) | 4.72377 | − | 5.92342i | 0.317755 | − | 0.398452i | ||||
\(222\) | 2.75817 | − | 7.74816i | 0.185116 | − | 0.520022i | ||||
\(223\) | −0.445651 | + | 1.95252i | −0.0298430 | + | 0.130751i | −0.987655 | − | 0.156645i | \(-0.949932\pi\) |
0.957812 | + | 0.287395i | \(0.0927894\pi\) | |||||||
\(224\) | −14.1609 | + | 4.84448i | −0.946165 | + | 0.323685i | ||||
\(225\) | −1.10993 | − | 4.86293i | −0.0739954 | − | 0.324195i | ||||
\(226\) | 12.5916 | + | 1.48751i | 0.837582 | + | 0.0989479i | ||||
\(227\) | 8.14688 | 0.540727 | 0.270364 | − | 0.962758i | \(-0.412856\pi\) | ||||
0.270364 | + | 0.962758i | \(0.412856\pi\) | |||||||
\(228\) | −0.139946 | + | 12.9806i | −0.00926813 | + | 0.859664i | ||||
\(229\) | −8.02421 | + | 16.6624i | −0.530254 | + | 1.10108i | 0.448068 | + | 0.893999i | \(0.352112\pi\) |
−0.978323 | + | 0.207085i | \(0.933602\pi\) | |||||||
\(230\) | 0.408462 | − | 0.404082i | 0.0269332 | − | 0.0266444i | ||||
\(231\) | −1.99323 | + | 0.497028i | −0.131145 | + | 0.0327021i | ||||
\(232\) | 5.22923 | + | 15.7571i | 0.343316 | + | 1.03451i | ||||
\(233\) | 3.59725 | + | 15.7606i | 0.235663 | + | 1.03251i | 0.944854 | + | 0.327492i | \(0.106203\pi\) |
−0.709191 | + | 0.705017i | \(0.750939\pi\) | |||||||
\(234\) | −5.62283 | + | 3.49093i | −0.367576 | + | 0.228209i | ||||
\(235\) | −0.513675 | + | 1.06666i | −0.0335085 | + | 0.0695810i | ||||
\(236\) | 11.3350 | − | 8.84114i | 0.737845 | − | 0.575509i | ||||
\(237\) | 0.370558 | + | 0.769471i | 0.0240703 | + | 0.0499825i | ||||
\(238\) | −0.590359 | + | 6.02858i | −0.0382673 | + | 0.390775i | ||||
\(239\) | −1.28518 | + | 2.66870i | −0.0831313 | + | 0.172624i | −0.938391 | − | 0.345576i | \(-0.887683\pi\) |
0.855259 | + | 0.518200i | \(0.173398\pi\) | |||||||
\(240\) | −0.00945317 | + | 0.438363i | −0.000610199 | + | 0.0282962i | ||||
\(241\) | −7.58264 | − | 1.73069i | −0.488441 | − | 0.111483i | −0.0287944 | − | 0.999585i | \(-0.509167\pi\) |
−0.459647 | + | 0.888102i | \(0.652024\pi\) | |||||||
\(242\) | −13.9046 | + | 4.78147i | −0.893823 | + | 0.307364i | ||||
\(243\) | 0.623490 | + | 0.781831i | 0.0399969 | + | 0.0501545i | ||||
\(244\) | 7.22196 | − | 30.1400i | 0.462339 | − | 1.92951i | ||||
\(245\) | −0.740659 | + | 0.200484i | −0.0473190 | + | 0.0128084i | ||||
\(246\) | 0.837372 | − | 7.08826i | 0.0533889 | − | 0.451931i | ||||
\(247\) | 23.7487 | − | 18.9390i | 1.51110 | − | 1.20506i | ||||
\(248\) | −11.6103 | + | 1.11837i | −0.737258 | + | 0.0710163i | ||||
\(249\) | 2.57674 | − | 11.2894i | 0.163294 | − | 0.715439i | ||||
\(250\) | 0.503500 | + | 1.46419i | 0.0318442 | + | 0.0926036i | ||||
\(251\) | 20.4080 | + | 9.82798i | 1.28814 | + | 0.620337i | 0.947470 | − | 0.319845i | \(-0.103631\pi\) |
0.340673 | + | 0.940182i | \(0.389345\pi\) | |||||||
\(252\) | 2.25197 | − | 4.78839i | 0.141861 | − | 0.301640i | ||||
\(253\) | 2.59279 | − | 1.24862i | 0.163007 | − | 0.0785001i | ||||
\(254\) | 7.53813 | + | 7.61984i | 0.472984 | + | 0.478111i | ||||
\(255\) | 0.159885 | + | 0.0769965i | 0.0100124 | + | 0.00482171i | ||||
\(256\) | −4.22948 | + | 15.4309i | −0.264343 | + | 0.964429i | ||||
\(257\) | 9.69339 | − | 2.21245i | 0.604657 | − | 0.138009i | 0.0907773 | − | 0.995871i | \(-0.471065\pi\) |
0.513880 | + | 0.857862i | \(0.328208\pi\) | |||||||
\(258\) | 3.20578 | − | 1.99030i | 0.199583 | − | 0.123911i | ||||
\(259\) | 9.35116 | − | 12.2189i | 0.581053 | − | 0.759244i | ||||
\(260\) | 0.808996 | − | 0.631006i | 0.0501718 | − | 0.0391333i | ||||
\(261\) | −5.28846 | − | 2.54679i | −0.327347 | − | 0.157642i | ||||
\(262\) | 0.217534 | + | 2.02890i | 0.0134393 | + | 0.125346i | ||||
\(263\) | − | 22.1915i | − | 1.36838i | −0.729302 | − | 0.684192i | \(-0.760155\pi\) | ||
0.729302 | − | 0.684192i | \(-0.239845\pi\) | |||||||
\(264\) | −0.758752 | + | 2.06087i | −0.0466980 | + | 0.126838i | ||||
\(265\) | 1.04492 | − | 0.238495i | 0.0641887 | − | 0.0146506i | ||||
\(266\) | −7.68599 | + | 23.0377i | −0.471258 | + | 1.41253i | ||||
\(267\) | 14.2995 | + | 3.26376i | 0.875113 | + | 0.199739i | ||||
\(268\) | −25.7729 | − | 12.7557i | −1.57433 | − | 0.779177i | ||||
\(269\) | 13.0458 | + | 10.4037i | 0.795415 | + | 0.634322i | 0.934502 | − | 0.355958i | \(-0.115845\pi\) |
−0.139087 | + | 0.990280i | \(0.544417\pi\) | |||||||
\(270\) | −0.109024 | − | 0.110205i | −0.00663497 | − | 0.00670689i | ||||
\(271\) | 3.58886 | − | 15.7238i | 0.218008 | − | 0.955155i | −0.740940 | − | 0.671571i | \(-0.765620\pi\) |
0.958948 | − | 0.283583i | \(-0.0915232\pi\) | |||||||
\(272\) | 4.97464 | + | 4.14572i | 0.301632 | + | 0.251371i | ||||
\(273\) | −12.0140 | + | 2.99577i | −0.727117 | + | 0.181312i | ||||
\(274\) | 0.732384 | + | 6.83083i | 0.0442450 | + | 0.412666i | ||||
\(275\) | 3.87287i | 0.233543i | ||||||||
\(276\) | −1.72730 | + | 7.20869i | −0.103971 | + | 0.433912i | ||||
\(277\) | −2.11058 | − | 9.24707i | −0.126813 | − | 0.555603i | −0.997917 | − | 0.0645052i | \(-0.979453\pi\) |
0.871105 | − | 0.491097i | \(-0.163404\pi\) | |||||||
\(278\) | 5.89582 | + | 3.74907i | 0.353608 | + | 0.224854i | ||||
\(279\) | 2.57120 | − | 3.22418i | 0.153933 | − | 0.193026i | ||||
\(280\) | −0.267979 | + | 0.775285i | −0.0160148 | + | 0.0463321i | ||||
\(281\) | −13.3405 | − | 16.7285i | −0.795830 | − | 0.997939i | −0.999820 | − | 0.0189665i | \(-0.993962\pi\) |
0.203990 | − | 0.978973i | \(-0.434609\pi\) | |||||||
\(282\) | −1.62832 | − | 15.1870i | −0.0969648 | − | 0.904376i | ||||
\(283\) | −1.47403 | − | 1.84838i | −0.0876221 | − | 0.109875i | 0.736088 | − | 0.676886i | \(-0.236671\pi\) |
−0.823710 | + | 0.567011i | \(0.808100\pi\) | |||||||
\(284\) | 13.9019 | − | 17.0520i | 0.824925 | − | 1.01185i | ||||
\(285\) | 0.556262 | + | 0.443604i | 0.0329501 | + | 0.0262768i | ||||
\(286\) | 4.85948 | − | 1.67106i | 0.287347 | − | 0.0988117i | ||||
\(287\) | 5.55226 | − | 12.1441i | 0.327740 | − | 0.716842i | ||||
\(288\) | −2.87946 | − | 4.86916i | −0.169674 | − | 0.286918i | ||||
\(289\) | −12.9551 | + | 6.23887i | −0.762067 | + | 0.366992i | ||||
\(290\) | 0.857237 | + | 0.305157i | 0.0503387 | + | 0.0179194i | ||||
\(291\) | −1.58354 | − | 3.28825i | −0.0928287 | − | 0.192761i | ||||
\(292\) | −9.15970 | + | 4.29005i | −0.536031 | + | 0.251056i | ||||
\(293\) | − | 0.0132877i | − | 0.000776276i | −1.00000 | 0.000388138i | \(-0.999876\pi\) | |||
1.00000 | 0.000388138i | \(-0.000123548\pi\) | ||||||||
\(294\) | 6.75396 | − | 7.23768i | 0.393899 | − | 0.422110i | ||||
\(295\) | − | 0.787880i | − | 0.0458721i | ||||||
\(296\) | −5.18095 | − | 15.6116i | −0.301137 | − | 0.907409i | ||||
\(297\) | −0.336885 | − | 0.699549i | −0.0195481 | − | 0.0405919i | ||||
\(298\) | 1.92588 | − | 5.41012i | 0.111563 | − | 0.313400i | ||||
\(299\) | 15.6277 | − | 7.52589i | 0.903772 | − | 0.435234i | ||||
\(300\) | −7.73202 | − | 6.30364i | −0.446408 | − | 0.363941i | ||||
\(301\) | 6.84959 | − | 1.70800i | 0.394804 | − | 0.0984474i | ||||
\(302\) | 0.610228 | + | 1.77456i | 0.0351147 | + | 0.102114i | ||||
\(303\) | 8.64495 | + | 6.89412i | 0.496640 | + | 0.396057i | ||||
\(304\) | 15.7461 | + | 20.6428i | 0.903103 | + | 1.18395i | ||||
\(305\) | −1.05911 | − | 1.32808i | −0.0606442 | − | 0.0760455i | ||||
\(306\) | −2.27644 | + | 0.244074i | −0.130135 | + | 0.0139528i | ||||
\(307\) | −12.4673 | − | 15.6335i | −0.711545 | − | 0.892250i | 0.286281 | − | 0.958146i | \(-0.407581\pi\) |
−0.997826 | + | 0.0658960i | \(0.979009\pi\) | |||||||
\(308\) | −2.53199 | + | 3.23560i | −0.144274 | + | 0.184365i | ||||
\(309\) | 3.74252 | − | 4.69297i | 0.212905 | − | 0.266974i | ||||
\(310\) | −0.343034 | + | 0.539458i | −0.0194830 | + | 0.0306391i | ||||
\(311\) | −2.29775 | − | 10.0671i | −0.130293 | − | 0.570853i | −0.997357 | − | 0.0726556i | \(-0.976853\pi\) |
0.867064 | − | 0.498197i | \(-0.166005\pi\) | |||||||
\(312\) | −4.57327 | + | 12.4216i | −0.258911 | + | 0.703235i | ||||
\(313\) | 2.12949i | 0.120366i | 0.998187 | + | 0.0601829i | \(0.0191684\pi\) | ||||
−0.998187 | + | 0.0601829i | \(0.980832\pi\) | |||||||
\(314\) | 13.3595 | − | 1.43237i | 0.753917 | − | 0.0808331i | ||||
\(315\) | −0.131028 | − | 0.258731i | −0.00738256 | − | 0.0145778i | ||||
\(316\) | 1.53086 | + | 0.757663i | 0.0861178 | + | 0.0426219i | ||||
\(317\) | −4.26922 | + | 18.7047i | −0.239783 | + | 1.05056i | 0.701427 | + | 0.712741i | \(0.252546\pi\) |
−0.941211 | + | 0.337819i | \(0.890311\pi\) | |||||||
\(318\) | −9.83021 | + | 9.72480i | −0.551251 | + | 0.545340i | ||||
\(319\) | 3.56321 | + | 2.84156i | 0.199501 | + | 0.159097i | ||||
\(320\) | 0.524300 | + | 0.702933i | 0.0293093 | + | 0.0392951i | ||||
\(321\) | −11.7380 | − | 2.67912i | −0.655152 | − | 0.149534i | ||||
\(322\) | −7.20618 | + | 11.8487i | −0.401584 | + | 0.660302i | ||||
\(323\) | 10.2444 | − | 2.33822i | 0.570014 | − | 0.130102i | ||||
\(324\) | 1.94494 | + | 0.466036i | 0.108052 | + | 0.0258909i | ||||
\(325\) | 23.3432i | 1.29485i | ||||||||
\(326\) | −3.21834 | + | 0.345062i | −0.178247 | + | 0.0191112i | ||||
\(327\) | −11.7315 | − | 5.64960i | −0.648755 | − | 0.312424i | ||||
\(328\) | −7.39837 | − | 12.2083i | −0.408506 | − | 0.674091i | ||||
\(329\) | 5.80089 | − | 27.9802i | 0.319813 | − | 1.54260i | ||||
\(330\) | 0.0634874 | + | 0.102259i | 0.00349487 | + | 0.00562918i | ||||
\(331\) | 9.82766 | − | 2.24310i | 0.540177 | − | 0.123292i | 0.0562770 | − | 0.998415i | \(-0.482077\pi\) |
0.483900 | + | 0.875123i | \(0.339220\pi\) | |||||||
\(332\) | −9.82302 | − | 20.9731i | −0.539108 | − | 1.15105i | ||||
\(333\) | 5.23964 | + | 2.52328i | 0.287130 | + | 0.138275i | ||||
\(334\) | 7.15237 | − | 7.07567i | 0.391360 | − | 0.387164i | ||||
\(335\) | −1.42002 | + | 0.683846i | −0.0775840 | + | 0.0373625i | ||||
\(336\) | −2.33856 | − | 10.3214i | −0.127579 | − | 0.563078i | ||||
\(337\) | −11.9187 | − | 5.73975i | −0.649253 | − | 0.312664i | 0.0801145 | − | 0.996786i | \(-0.474471\pi\) |
−0.729368 | + | 0.684122i | \(0.760186\pi\) | |||||||
\(338\) | 11.9043 | − | 4.09360i | 0.647507 | − | 0.222662i | ||||
\(339\) | −1.99502 | + | 8.74075i | −0.108355 | + | 0.474732i | ||||
\(340\) | 0.346851 | − | 0.0752418i | 0.0188106 | − | 0.00408056i | ||||
\(341\) | −2.50338 | + | 1.99638i | −0.135566 | + | 0.108110i | ||||
\(342\) | −9.11584 | − | 1.07690i | −0.492928 | − | 0.0582321i | ||||
\(343\) | 16.1750 | − | 9.02051i | 0.873367 | − | 0.487062i | ||||
\(344\) | 2.60739 | − | 7.08201i | 0.140581 | − | 0.381836i | ||||
\(345\) | 0.253310 | + | 0.317641i | 0.0136378 | + | 0.0171012i | ||||
\(346\) | −9.81602 | − | 28.5452i | −0.527713 | − | 1.53460i | ||||
\(347\) | −10.8720 | − | 2.48147i | −0.583642 | − | 0.133212i | −0.0795025 | − | 0.996835i | \(-0.525333\pi\) |
−0.504140 | + | 0.863622i | \(0.668190\pi\) | |||||||
\(348\) | −11.4727 | + | 2.48875i | −0.614999 | + | 0.133411i | ||||
\(349\) | −2.40729 | + | 4.99879i | −0.128859 | + | 0.267579i | −0.955410 | − | 0.295284i | \(-0.904586\pi\) |
0.826550 | + | 0.562863i | \(0.190300\pi\) | |||||||
\(350\) | −10.1589 | − | 15.6562i | −0.543016 | − | 0.836859i | ||||
\(351\) | −2.03053 | − | 4.21644i | −0.108382 | − | 0.225057i | ||||
\(352\) | 1.33841 | + | 4.18332i | 0.0713374 | + | 0.222972i | ||||
\(353\) | −9.39260 | + | 19.5039i | −0.499917 | + | 1.03809i | 0.486477 | + | 0.873693i | \(0.338282\pi\) |
−0.986394 | + | 0.164396i | \(0.947433\pi\) | |||||||
\(354\) | 5.36154 | + | 8.63584i | 0.284963 | + | 0.458989i | ||||
\(355\) | −0.268320 | − | 1.17559i | −0.0142409 | − | 0.0623936i | ||||
\(356\) | 26.5651 | − | 12.4421i | 1.40795 | − | 0.659428i | ||||
\(357\) | −4.19405 | − | 0.869515i | −0.221973 | − | 0.0460196i | ||||
\(358\) | 12.2095 | + | 12.3419i | 0.645294 | + | 0.652288i | ||||
\(359\) | −3.57176 | + | 7.41684i | −0.188510 | + | 0.391446i | −0.973708 | − | 0.227799i | \(-0.926847\pi\) |
0.785198 | + | 0.619245i | \(0.212561\pi\) | |||||||
\(360\) | −0.307490 | − | 0.0396910i | −0.0162062 | − | 0.00209190i | ||||
\(361\) | 23.1291 | 1.21732 | ||||||||
\(362\) | −2.22545 | + | 18.8382i | −0.116967 | + | 0.990113i | ||||
\(363\) | −2.31358 | − | 10.1365i | −0.121432 | − | 0.532026i | ||||
\(364\) | −15.2612 | + | 19.5021i | −0.799906 | + | 1.02219i | ||||
\(365\) | −0.123357 | + | 0.540461i | −0.00645679 | + | 0.0282890i | ||||
\(366\) | 20.6463 | + | 7.34961i | 1.07920 | + | 0.384170i | ||||
\(367\) | −6.21310 | + | 7.79099i | −0.324321 | + | 0.406686i | −0.917086 | − | 0.398690i | \(-0.869465\pi\) |
0.592765 | + | 0.805376i | \(0.298036\pi\) | |||||||
\(368\) | 6.14306 | + | 13.4929i | 0.320229 | + | 0.703365i | ||||
\(369\) | 4.92047 | + | 1.12307i | 0.256150 | + | 0.0584645i | ||||
\(370\) | −0.849323 | − | 0.302340i | −0.0441542 | − | 0.0157179i | ||||
\(371\) | −23.0785 | + | 11.6875i | −1.19818 | + | 0.606786i | ||||
\(372\) | 0.0889148 | − | 8.24728i | 0.00461002 | − | 0.427601i | ||||
\(373\) | −35.2119 | −1.82320 | −0.911601 | − | 0.411076i | \(-0.865153\pi\) | ||||
−0.911601 | + | 0.411076i | \(0.865153\pi\) | |||||||
\(374\) | 1.76538 | + | 0.208553i | 0.0912854 | + | 0.0107840i | ||||
\(375\) | −1.06739 | + | 0.243626i | −0.0551200 | + | 0.0125808i | ||||
\(376\) | −21.2487 | − | 21.9473i | −1.09582 | − | 1.13185i | ||||
\(377\) | 21.4767 | + | 17.1271i | 1.10611 | + | 0.882092i | ||||
\(378\) | 3.19685 | + | 1.94427i | 0.164428 | + | 0.100002i | ||||
\(379\) | −30.0899 | + | 23.9959i | −1.54562 | + | 1.23259i | −0.678353 | + | 0.734736i | \(0.737306\pi\) |
−0.867263 | + | 0.497851i | \(0.834123\pi\) | |||||||
\(380\) | 1.42289 | + | 0.0153403i | 0.0729926 | + | 0.000786941i | ||||
\(381\) | −5.92557 | + | 4.72549i | −0.303576 | + | 0.242094i | ||||
\(382\) | 16.1537 | − | 25.4034i | 0.826493 | − | 1.29975i | ||||
\(383\) | 16.1928 | − | 20.3051i | 0.827413 | − | 1.03754i | −0.171218 | − | 0.985233i | \(-0.554770\pi\) |
0.998631 | − | 0.0523102i | \(-0.0166584\pi\) | |||||||
\(384\) | −10.5303 | − | 4.13686i | −0.537370 | − | 0.211108i | ||||
\(385\) | 0.0544823 | + | 0.218491i | 0.00277668 | + | 0.0111353i | ||||
\(386\) | 4.25579 | + | 2.70620i | 0.216614 | + | 0.137742i | ||||
\(387\) | 1.15768 | + | 2.40394i | 0.0588481 | + | 0.122199i | ||||
\(388\) | −6.54198 | − | 3.23779i | −0.332119 | − | 0.164374i | ||||
\(389\) | 12.6410 | − | 6.08756i | 0.640922 | − | 0.308652i | −0.0850495 | − | 0.996377i | \(-0.527105\pi\) |
0.725971 | + | 0.687725i | \(0.241391\pi\) | |||||||
\(390\) | 0.382662 | + | 0.616353i | 0.0193768 | + | 0.0312102i | ||||
\(391\) | 6.00029 | 0.303448 | ||||||||
\(392\) | 1.74838 | − | 19.7216i | 0.0883066 | − | 0.996093i | ||||
\(393\) | −1.44287 | −0.0727834 | ||||||||
\(394\) | −0.465628 | − | 0.749986i | −0.0234580 | − | 0.0377838i | ||||
\(395\) | 0.0843464 | − | 0.0406191i | 0.00424393 | − | 0.00204377i | ||||
\(396\) | −1.39175 | − | 0.688814i | −0.0699382 | − | 0.0346142i | ||||
\(397\) | −7.90724 | − | 16.4195i | −0.396853 | − | 0.824074i | −0.999657 | − | 0.0261844i | \(-0.991664\pi\) |
0.602804 | − | 0.797889i | \(-0.294050\pi\) | |||||||
\(398\) | 9.73136 | + | 6.18804i | 0.487789 | + | 0.310178i | ||||
\(399\) | −15.6179 | − | 7.14047i | −0.781871 | − | 0.357471i | ||||
\(400\) | −19.9473 | − | 0.430158i | −0.997365 | − | 0.0215079i | ||||
\(401\) | −7.32304 | + | 9.18280i | −0.365695 | + | 0.458567i | −0.930303 | − | 0.366792i | \(-0.880456\pi\) |
0.564608 | + | 0.825359i | \(0.309027\pi\) | |||||||
\(402\) | 10.9110 | − | 17.1588i | 0.544194 | − | 0.855804i | ||||
\(403\) | −15.0888 | + | 12.0329i | −0.751627 | + | 0.599402i | ||||
\(404\) | 22.1133 | + | 0.238406i | 1.10018 | + | 0.0118612i | ||||
\(405\) | 0.0857014 | − | 0.0683446i | 0.00425854 | − | 0.00339607i | ||||
\(406\) | −21.8580 | − | 2.14049i | −1.08480 | − | 0.106231i | ||||
\(407\) | −3.53031 | − | 2.81533i | −0.174991 | − | 0.139551i | ||||
\(408\) | −3.28976 | + | 3.18504i | −0.162867 | + | 0.157683i | ||||
\(409\) | −14.3095 | + | 3.26605i | −0.707559 | + | 0.161496i | −0.561133 | − | 0.827726i | \(-0.689634\pi\) |
−0.146426 | + | 0.989222i | \(0.546777\pi\) | |||||||
\(410\) | −0.776988 | − | 0.0917895i | −0.0383727 | − | 0.00453316i | ||||
\(411\) | −4.85781 | −0.239618 | ||||||||
\(412\) | 0.129421 | − | 12.0044i | 0.00637609 | − | 0.591413i | ||||
\(413\) | 4.60106 | + | 18.4517i | 0.226403 | + | 0.907947i | ||||
\(414\) | −4.93806 | − | 1.75783i | −0.242692 | − | 0.0863928i | ||||
\(415\) | −1.23751 | − | 0.282453i | −0.0607468 | − | 0.0138651i | ||||
\(416\) | 8.06707 | + | 25.2144i | 0.395521 | + | 1.23624i | ||||
\(417\) | −3.08032 | + | 3.86260i | −0.150844 | + | 0.189153i | ||||
\(418\) | 6.71439 | + | 2.39017i | 0.328412 | + | 0.116907i | ||||
\(419\) | 0.691920 | − | 3.03150i | 0.0338025 | − | 0.148098i | −0.955210 | − | 0.295927i | \(-0.904371\pi\) |
0.989013 | + | 0.147829i | \(0.0472285\pi\) | |||||||
\(420\) | −0.524884 | − | 0.246852i | −0.0256117 | − | 0.0120452i | ||||
\(421\) | −6.37929 | − | 27.9495i | −0.310908 | − | 1.36217i | −0.853024 | − | 0.521872i | \(-0.825234\pi\) |
0.542117 | − | 0.840303i | \(-0.317623\pi\) | |||||||
\(422\) | 3.59774 | − | 30.4544i | 0.175135 | − | 1.48250i | ||||
\(423\) | 10.8004 | 0.525134 | ||||||||
\(424\) | −3.54040 | + | 27.4278i | −0.171937 | + | 1.33201i | ||||
\(425\) | −3.50366 | + | 7.27542i | −0.169952 | + | 0.352910i | ||||
\(426\) | 10.9409 | + | 11.0595i | 0.530089 | + | 0.535835i | ||||
\(427\) | 32.5593 | + | 24.9178i | 1.57566 | + | 1.20586i | ||||
\(428\) | −21.8065 | + | 10.2133i | −1.05406 | + | 0.493680i | ||||
\(429\) | 0.808565 | + | 3.54256i | 0.0390379 | + | 0.171036i | ||||
\(430\) | −0.218169 | − | 0.351405i | −0.0105211 | − | 0.0169463i | ||||
\(431\) | 15.1639 | − | 31.4882i | 0.730421 | − | 1.51673i | −0.121230 | − | 0.992624i | \(-0.538684\pi\) |
0.851651 | − | 0.524109i | \(-0.175602\pi\) | |||||||
\(432\) | 3.64046 | − | 1.65743i | 0.175151 | − | 0.0797433i | ||||
\(433\) | 2.32120 | + | 4.82003i | 0.111550 | + | 0.231636i | 0.949269 | − | 0.314466i | \(-0.101825\pi\) |
−0.837719 | + | 0.546102i | \(0.816111\pi\) | |||||||
\(434\) | 4.88331 | − | 14.6370i | 0.234406 | − | 0.702599i | ||||
\(435\) | −0.279169 | + | 0.579701i | −0.0133851 | + | 0.0277945i | ||||
\(436\) | −25.4501 | + | 5.52085i | −1.21884 | + | 0.264401i | ||||
\(437\) | 23.4538 | + | 5.35317i | 1.12195 | + | 0.256077i | ||||
\(438\) | −2.32576 | − | 6.76337i | −0.111129 | − | 0.323166i | ||||
\(439\) | −10.3729 | − | 13.0072i | −0.495072 | − | 0.620801i | 0.470038 | − | 0.882646i | \(-0.344240\pi\) |
−0.965110 | + | 0.261846i | \(0.915669\pi\) | |||||||
\(440\) | 0.225904 | + | 0.0831715i | 0.0107696 | + | 0.00396505i | ||||
\(441\) | 4.57952 | + | 5.29415i | 0.218072 | + | 0.252102i | ||||
\(442\) | 10.6406 | + | 1.25702i | 0.506120 | + | 0.0597905i | ||||
\(443\) | −22.2038 | + | 17.7070i | −1.05494 | + | 0.841283i | −0.987685 | − | 0.156453i | \(-0.949994\pi\) |
−0.0672502 | + | 0.997736i | \(0.521423\pi\) | |||||||
\(444\) | 11.3667 | − | 2.46577i | 0.539442 | − | 0.117020i | ||||
\(445\) | 0.357761 | − | 1.56745i | 0.0169595 | − | 0.0743044i | ||||
\(446\) | −2.67836 | + | 0.921025i | −0.126824 | + | 0.0436118i | ||||
\(447\) | 3.65855 | + | 1.76187i | 0.173044 | + | 0.0833334i | ||||
\(448\) | −16.3838 | − | 13.4004i | −0.774061 | − | 0.633111i | ||||
\(449\) | 15.1237 | − | 7.28321i | 0.713734 | − | 0.343716i | −0.0415298 | − | 0.999137i | \(-0.513223\pi\) |
0.755264 | + | 0.655421i | \(0.227509\pi\) | |||||||
\(450\) | 5.01480 | − | 4.96103i | 0.236400 | − | 0.233865i | ||||
\(451\) | −3.53063 | − | 1.70026i | −0.166251 | − | 0.0800622i | ||||
\(452\) | 7.60539 | + | 16.2383i | 0.357727 | + | 0.763784i | ||||
\(453\) | −1.29365 | + | 0.295268i | −0.0607811 | + | 0.0138729i | ||||
\(454\) | 6.07709 | + | 9.78837i | 0.285212 | + | 0.459391i | ||||
\(455\) | 0.328385 | + | 1.31692i | 0.0153949 | + | 0.0617383i | ||||
\(456\) | −15.7005 | + | 9.51465i | −0.735241 | + | 0.445564i | ||||
\(457\) | −0.533566 | − | 0.256952i | −0.0249592 | − | 0.0120197i | 0.421363 | − | 0.906892i | \(-0.361552\pi\) |
−0.446322 | + | 0.894873i | \(0.647266\pi\) | |||||||
\(458\) | −26.0053 | + | 2.78822i | −1.21515 | + | 0.130285i | ||||
\(459\) | − | 1.61891i | − | 0.0755643i | ||||||
\(460\) | 0.790189 | + | 0.189340i | 0.0368427 | + | 0.00882804i | ||||
\(461\) | −10.9438 | + | 2.49785i | −0.509703 | + | 0.116336i | −0.469635 | − | 0.882861i | \(-0.655615\pi\) |
−0.0400680 | + | 0.999197i | \(0.512757\pi\) | |||||||
\(462\) | −2.08401 | − | 2.02409i | −0.0969569 | − | 0.0941693i | ||||
\(463\) | −34.1004 | − | 7.78320i | −1.58478 | − | 0.361716i | −0.662752 | − | 0.748839i | \(-0.730612\pi\) |
−0.922028 | + | 0.387123i | \(0.873469\pi\) | |||||||
\(464\) | −15.0313 | + | 18.0367i | −0.697809 | + | 0.837335i | ||||
\(465\) | −0.353422 | − | 0.281845i | −0.0163895 | − | 0.0130702i | ||||
\(466\) | −16.2528 | + | 16.0785i | −0.752895 | + | 0.744822i | ||||
\(467\) | −5.84314 | + | 25.6005i | −0.270388 | + | 1.18465i | 0.639168 | + | 0.769067i | \(0.279279\pi\) |
−0.909556 | + | 0.415581i | \(0.863578\pi\) | |||||||
\(468\) | −8.38860 | − | 4.15173i | −0.387763 | − | 0.191914i | ||||
\(469\) | 29.2625 | − | 24.3079i | 1.35122 | − | 1.12243i | ||||
\(470\) | −1.66475 | + | 0.178490i | −0.0767890 | + | 0.00823312i | ||||
\(471\) | 9.50070i | 0.437769i | ||||||||
\(472\) | 19.0777 | + | 7.02387i | 0.878125 | + | 0.323300i | ||||
\(473\) | −0.460992 | − | 2.01974i | −0.0211965 | − | 0.0928677i | ||||
\(474\) | −0.648095 | + | 1.01920i | −0.0297680 | + | 0.0468134i | ||||
\(475\) | −20.1858 | + | 25.3122i | −0.926188 | + | 1.16140i | ||||
\(476\) | −7.68363 | + | 3.78766i | −0.352179 | + | 0.173607i | ||||
\(477\) | −6.09626 | − | 7.64447i | −0.279129 | − | 0.350016i | ||||
\(478\) | −4.16508 | + | 0.446569i | −0.190506 | + | 0.0204256i | ||||
\(479\) | −15.5133 | − | 19.4531i | −0.708822 | − | 0.888835i | 0.288826 | − | 0.957382i | \(-0.406735\pi\) |
−0.997648 | + | 0.0685468i | \(0.978164\pi\) | |||||||
\(480\) | −0.533739 | + | 0.315635i | −0.0243617 | + | 0.0144067i | ||||
\(481\) | −21.2785 | − | 16.9690i | −0.970215 | − | 0.773720i | ||||
\(482\) | −3.57681 | − | 10.4014i | −0.162919 | − | 0.473773i | ||||
\(483\) | −7.78733 | − | 5.95968i | −0.354336 | − | 0.271175i | ||||
\(484\) | −16.1169 | − | 13.1395i | −0.732587 | − | 0.597251i | ||||
\(485\) | −0.360446 | + | 0.173581i | −0.0163670 | + | 0.00788193i | ||||
\(486\) | −0.474274 | + | 1.33232i | −0.0215135 | + | 0.0604351i | ||||
\(487\) | 14.6999 | + | 30.5246i | 0.666116 | + | 1.38320i | 0.910494 | + | 0.413523i | \(0.135702\pi\) |
−0.244378 | + | 0.969680i | \(0.578584\pi\) | |||||||
\(488\) | 41.5999 | − | 13.8055i | 1.88314 | − | 0.624948i | ||||
\(489\) | − | 2.28875i | − | 0.103501i | ||||||
\(490\) | −0.793367 | − | 0.740343i | −0.0358407 | − | 0.0334453i | ||||
\(491\) | − | 0.619409i | − | 0.0279535i | −0.999902 | − | 0.0139768i | \(-0.995551\pi\) | ||
0.999902 | − | 0.0139768i | \(-0.00444909\pi\) | |||||||
\(492\) | 9.14109 | − | 4.28134i | 0.412112 | − | 0.193017i | ||||
\(493\) | 4.12303 | + | 8.56155i | 0.185692 | + | 0.385593i | ||||
\(494\) | 40.4701 | + | 14.4064i | 1.82084 | + | 0.648175i | ||||
\(495\) | −0.0766819 | + | 0.0369280i | −0.00344659 | + | 0.00165979i | ||||
\(496\) | −10.0043 | − | 13.1154i | −0.449208 | − | 0.588901i | ||||
\(497\) | 13.1491 | + | 25.9646i | 0.589817 | + | 1.16467i | ||||
\(498\) | 15.4862 | − | 5.32534i | 0.693954 | − | 0.238634i | ||||
\(499\) | 27.7477 | + | 22.1281i | 1.24216 | + | 0.990589i | 0.999792 | + | 0.0204041i | \(0.00649528\pi\) |
0.242367 | + | 0.970185i | \(0.422076\pi\) | |||||||
\(500\) | −1.38363 | + | 1.69715i | −0.0618776 | + | 0.0758989i | ||||
\(501\) | 4.43558 | + | 5.56205i | 0.198167 | + | 0.248494i | ||||
\(502\) | 3.41499 | + | 31.8511i | 0.152418 | + | 1.42158i | ||||
\(503\) | 9.47430 | + | 11.8804i | 0.422438 | + | 0.529721i | 0.946821 | − | 0.321762i | \(-0.104275\pi\) |
−0.524382 | + | 0.851483i | \(0.675704\pi\) | |||||||
\(504\) | 7.43302 | − | 0.866143i | 0.331093 | − | 0.0385811i | ||||
\(505\) | 0.755707 | − | 0.947627i | 0.0336285 | − | 0.0421688i | ||||
\(506\) | 3.43427 | + | 2.18380i | 0.152672 | + | 0.0970819i | ||||
\(507\) | 1.98074 | + | 8.67821i | 0.0879680 | + | 0.385413i | ||||
\(508\) | −3.53213 | + | 14.7409i | −0.156713 | + | 0.654022i | ||||
\(509\) | − | 37.9800i | − | 1.68344i | −0.539918 | − | 0.841718i | \(-0.681545\pi\) | ||
0.539918 | − | 0.841718i | \(-0.318455\pi\) | |||||||
\(510\) | 0.0267545 | + | 0.249535i | 0.00118471 | + | 0.0110496i | ||||
\(511\) | −0.267248 | − | 13.3777i | −0.0118223 | − | 0.591792i | ||||
\(512\) | −21.6949 | + | 6.42885i | −0.958789 | + | 0.284118i | ||||
\(513\) | 1.44432 | − | 6.32796i | 0.0637681 | − | 0.279386i | ||||
\(514\) | 9.88894 | + | 9.99612i | 0.436182 | + | 0.440910i | ||||
\(515\) | −0.514426 | − | 0.410241i | −0.0226683 | − | 0.0180774i | ||||
\(516\) | 4.78265 | + | 2.36705i | 0.210544 | + | 0.104204i | ||||
\(517\) | −8.17563 | − | 1.86603i | −0.359564 | − | 0.0820681i | ||||
\(518\) | 21.6562 | + | 2.12073i | 0.951520 | + | 0.0931794i | ||||
\(519\) | 20.8094 | − | 4.74962i | 0.913433 | − | 0.208485i | ||||
\(520\) | 1.36161 | + | 0.501305i | 0.0597105 | + | 0.0219837i | ||||
\(521\) | 0.862494i | 0.0377866i | 0.999822 | + | 0.0188933i | \(0.00601428\pi\) | ||||
−0.999822 | + | 0.0188933i | \(0.993986\pi\) | |||||||
\(522\) | −0.884948 | − | 8.25377i | −0.0387331 | − | 0.361258i | ||||
\(523\) | −10.6367 | − | 5.12238i | −0.465111 | − | 0.223986i | 0.186625 | − | 0.982431i | \(-0.440245\pi\) |
−0.651737 | + | 0.758445i | \(0.725959\pi\) | |||||||
\(524\) | −2.27543 | + | 1.77481i | −0.0994028 | + | 0.0775328i | ||||
\(525\) | 11.7733 | − | 5.96229i | 0.513830 | − | 0.260216i | ||||
\(526\) | 26.6628 | − | 16.5535i | 1.16255 | − | 0.721768i | ||||
\(527\) | −6.50881 | + | 1.48559i | −0.283528 | + | 0.0647135i | ||||
\(528\) | −3.04209 | + | 0.625656i | −0.132390 | + | 0.0272282i | ||||
\(529\) | −8.34550 | − | 4.01898i | −0.362848 | − | 0.174738i | ||||
\(530\) | 1.06600 | + | 1.07755i | 0.0463039 | + | 0.0468058i | ||||
\(531\) | −6.47582 | + | 3.11859i | −0.281027 | + | 0.135335i | ||||
\(532\) | −33.4127 | + | 7.95012i | −1.44863 | + | 0.344682i | ||||
\(533\) | −21.2804 | − | 10.2481i | −0.921756 | − | 0.443895i | ||||
\(534\) | 6.74520 | + | 19.6152i | 0.291893 | + | 0.848833i | ||||
\(535\) | −0.293675 | + | 1.28668i | −0.0126967 | + | 0.0556278i | ||||
\(536\) | −3.89932 | − | 40.4809i | −0.168425 | − | 1.74851i | ||||
\(537\) | −9.59767 | + | 7.65389i | −0.414170 | + | 0.330290i | ||||
\(538\) | −2.76848 | + | 23.4348i | −0.119358 | + | 1.01035i | ||||
\(539\) | −2.55189 | − | 4.79875i | −0.109918 | − | 0.206697i | ||||
\(540\) | 0.0510851 | − | 0.213197i | 0.00219835 | − | 0.00917455i | ||||
\(541\) | 10.4682 | + | 13.1267i | 0.450062 | + | 0.564360i | 0.954164 | − | 0.299284i | \(-0.0967477\pi\) |
−0.504102 | + | 0.863644i | \(0.668176\pi\) | |||||||
\(542\) | 21.5691 | − | 7.41709i | 0.926471 | − | 0.318591i | ||||
\(543\) | −13.0769 | − | 2.98473i | −0.561185 | − | 0.128087i | ||||
\(544\) | −1.27023 | + | 9.06943i | −0.0544608 | + | 0.388849i | ||||
\(545\) | −0.619288 | + | 1.28596i | −0.0265274 | + | 0.0550847i | ||||
\(546\) | −12.5611 | − | 12.1999i | −0.537565 | − | 0.522109i | ||||
\(547\) | 18.8623 | + | 39.1679i | 0.806493 | + | 1.67470i | 0.735798 | + | 0.677201i | \(0.236807\pi\) |
0.0706948 | + | 0.997498i | \(0.477478\pi\) | |||||||
\(548\) | −7.66084 | + | 5.97535i | −0.327255 | + | 0.255254i | ||||
\(549\) | −6.72371 | + | 13.9619i | −0.286961 | + | 0.595880i | ||||
\(550\) | −4.65321 | + | 2.88894i | −0.198413 | + | 0.123185i | ||||
\(551\) | 8.47777 | + | 37.1435i | 0.361165 | + | 1.58237i | ||||
\(552\) | −9.94961 | + | 3.30193i | −0.423484 | + | 0.140539i | ||||
\(553\) | −1.73813 | + | 1.44384i | −0.0739130 | + | 0.0613984i | ||||
\(554\) | 9.53586 | − | 9.43361i | 0.405140 | − | 0.400796i | ||||
\(555\) | 0.276592 | − | 0.574349i | 0.0117407 | − | 0.0243798i | ||||
\(556\) | −0.106521 | + | 9.88034i | −0.00451749 | + | 0.419020i | ||||
\(557\) | 21.0813 | 0.893243 | 0.446622 | − | 0.894723i | \(-0.352627\pi\) | ||||
0.446622 | + | 0.894723i | \(0.352627\pi\) | |||||||
\(558\) | 5.79177 | + | 0.684211i | 0.245185 | + | 0.0289650i | ||||
\(559\) | −2.77857 | − | 12.1737i | −0.117521 | − | 0.514893i | ||||
\(560\) | −1.13139 | + | 0.256344i | −0.0478100 | + | 0.0108325i | ||||
\(561\) | −0.279706 | + | 1.22547i | −0.0118092 | + | 0.0517396i | ||||
\(562\) | 10.1478 | − | 28.5070i | 0.428060 | − | 1.20249i | ||||
\(563\) | −15.5962 | + | 19.5570i | −0.657302 | + | 0.824231i | −0.993047 | − | 0.117722i | \(-0.962441\pi\) |
0.335744 | + | 0.941953i | \(0.391012\pi\) | |||||||
\(564\) | 17.0324 | − | 13.2850i | 0.717194 | − | 0.559401i | ||||
\(565\) | 0.958128 | + | 0.218686i | 0.0403087 | + | 0.00920020i | ||||
\(566\) | 1.12126 | − | 3.14981i | 0.0471301 | − | 0.132396i | ||||
\(567\) | −1.60795 | + | 2.10107i | −0.0675278 | + | 0.0882365i | ||||
\(568\) | 30.8577 | + | 3.98314i | 1.29476 | + | 0.167129i | ||||
\(569\) | −16.3811 | −0.686731 | −0.343365 | − | 0.939202i | \(-0.611567\pi\) | ||||
−0.343365 | + | 0.939202i | \(0.611567\pi\) | |||||||
\(570\) | −0.118046 | + | 0.999244i | −0.00494439 | + | 0.0418537i | ||||
\(571\) | 0.420582 | − | 0.0959951i | 0.0176008 | − | 0.00401727i | −0.213711 | − | 0.976897i | \(-0.568555\pi\) |
0.231312 | + | 0.972880i | \(0.425698\pi\) | |||||||
\(572\) | 5.63264 | + | 4.59209i | 0.235513 | + | 0.192005i | ||||
\(573\) | 16.6429 | + | 13.2722i | 0.695265 | + | 0.554456i | ||||
\(574\) | 18.7326 | − | 2.38780i | 0.781884 | − | 0.0996649i | ||||
\(575\) | −14.4540 | + | 11.5267i | −0.602772 | + | 0.480695i | ||||
\(576\) | 3.70233 | − | 7.09174i | 0.154264 | − | 0.295489i | ||||
\(577\) | 26.7418 | − | 21.3259i | 1.11328 | − | 0.887809i | 0.118816 | − | 0.992916i | \(-0.462090\pi\) |
0.994461 | + | 0.105108i | \(0.0335187\pi\) | |||||||
\(578\) | −17.1597 | − | 10.9116i | −0.713749 | − | 0.453863i | ||||
\(579\) | −2.22347 | + | 2.78815i | −0.0924044 | + | 0.115872i | ||||
\(580\) | 0.272807 | + | 1.25759i | 0.0113277 | + | 0.0522185i | ||||
\(581\) | 30.6311 | − | 0.611922i | 1.27079 | − | 0.0253868i | ||||
\(582\) | 2.76957 | − | 4.35545i | 0.114802 | − | 0.180539i | ||||
\(583\) | 3.29394 | + | 6.83994i | 0.136421 | + | 0.283281i | ||||
\(584\) | −11.9870 | − | 7.80513i | −0.496027 | − | 0.322979i | ||||
\(585\) | −0.462190 | + | 0.222579i | −0.0191092 | + | 0.00920250i | ||||
\(586\) | 0.0159650 | − | 0.00991186i | 0.000659509 | − | 0.000409455i | ||||
\(587\) | 46.3442 | 1.91283 | 0.956415 | − | 0.292012i | \(-0.0943247\pi\) | ||||
0.956415 | + | 0.292012i | \(0.0943247\pi\) | |||||||
\(588\) | 13.7340 | + | 2.71591i | 0.566382 | + | 0.112002i | ||||
\(589\) | −26.7668 | −1.10291 | ||||||||
\(590\) | 0.946627 | − | 0.587712i | 0.0389720 | − | 0.0241957i | ||||
\(591\) | 0.562398 | − | 0.270837i | 0.0231340 | − | 0.0111407i | ||||
\(592\) | 14.8925 | − | 17.8702i | 0.612078 | − | 0.734462i | ||||
\(593\) | 19.4710 | + | 40.4319i | 0.799577 | + | 1.66034i | 0.749879 | + | 0.661575i | \(0.230112\pi\) |
0.0496977 | + | 0.998764i | \(0.484174\pi\) | |||||||
\(594\) | 0.589203 | − | 0.926586i | 0.0241753 | − | 0.0380183i | ||||
\(595\) | −0.0953129 | + | 0.459736i | −0.00390745 | + | 0.0188473i | ||||
\(596\) | 7.93678 | − | 1.72171i | 0.325103 | − | 0.0705241i | ||||
\(597\) | −5.08424 | + | 6.37543i | −0.208084 | + | 0.260929i | ||||
\(598\) | 20.6996 | + | 13.1626i | 0.846470 | + | 0.538258i | ||||
\(599\) | −11.4603 | + | 9.13927i | −0.468254 | + | 0.373420i | −0.829004 | − | 0.559242i | \(-0.811092\pi\) |
0.360750 | + | 0.932663i | \(0.382521\pi\) | |||||||
\(600\) | 1.80610 | − | 13.9921i | 0.0737339 | − | 0.571224i | ||||
\(601\) | −7.27033 | + | 5.79790i | −0.296563 | + | 0.236501i | −0.760455 | − | 0.649391i | \(-0.775024\pi\) |
0.463892 | + | 0.885892i | \(0.346453\pi\) | |||||||
\(602\) | 7.16153 | + | 6.95563i | 0.291882 | + | 0.283490i | ||||
\(603\) | 11.2415 | + | 8.96478i | 0.457788 | + | 0.365074i | ||||
\(604\) | −1.67692 | + | 2.05690i | −0.0682327 | + | 0.0836940i | ||||
\(605\) | −1.11112 | + | 0.253606i | −0.0451735 | + | 0.0103105i | ||||
\(606\) | −1.83457 | + | 15.5294i | −0.0745242 | + | 0.630839i | ||||
\(607\) | −13.4308 | −0.545140 | −0.272570 | − | 0.962136i | \(-0.587874\pi\) | ||||
−0.272570 | + | 0.962136i | \(0.587874\pi\) | |||||||
\(608\) | −13.0564 | + | 34.3171i | −0.529506 | + | 1.39174i | ||||
\(609\) | 3.15263 | − | 15.2065i | 0.127751 | − | 0.616200i | ||||
\(610\) | 0.805636 | − | 2.26317i | 0.0326193 | − | 0.0916331i | ||||
\(611\) | −49.2775 | − | 11.2473i | −1.99355 | − | 0.455016i | ||||
\(612\) | −1.99134 | − | 2.55305i | −0.0804953 | − | 0.103201i | ||||
\(613\) | 21.6619 | − | 27.1632i | 0.874917 | − | 1.09711i | −0.119629 | − | 0.992819i | \(-0.538171\pi\) |
0.994547 | − | 0.104293i | \(-0.0332580\pi\) | |||||||
\(614\) | 9.48356 | − | 26.6409i | 0.382725 | − | 1.07514i | ||||
\(615\) | 0.123106 | − | 0.539363i | 0.00496412 | − | 0.0217492i | ||||
\(616\) | −5.77625 | − | 0.628588i | −0.232732 | − | 0.0253265i | ||||
\(617\) | 3.21604 | + | 14.0904i | 0.129473 | + | 0.567259i | 0.997495 | + | 0.0707332i | \(0.0225339\pi\) |
−0.868022 | + | 0.496525i | \(0.834609\pi\) | |||||||
\(618\) | 8.43025 | + | 0.995909i | 0.339114 | + | 0.0400613i | ||||
\(619\) | 13.8820 | 0.557963 | 0.278981 | − | 0.960297i | \(-0.410003\pi\) | ||||
0.278981 | + | 0.960297i | \(0.410003\pi\) | |||||||
\(620\) | −0.904035 | − | 0.00974649i | −0.0363069 | − | 0.000391429i | ||||
\(621\) | 1.60813 | − | 3.33933i | 0.0645322 | − | 0.134003i | ||||
\(622\) | 10.3815 | − | 10.2702i | 0.416261 | − | 0.411797i | ||||
\(623\) | 0.775075 | + | 38.7980i | 0.0310527 | + | 1.55441i | ||||
\(624\) | −18.3358 | + | 3.77106i | −0.734019 | + | 0.150963i | ||||
\(625\) | −5.52295 | − | 24.1976i | −0.220918 | − | 0.967905i | ||||
\(626\) | −2.55855 | + | 1.58847i | −0.102260 | + | 0.0634882i | ||||
\(627\) | −2.18662 | + | 4.54056i | −0.0873251 | + | 0.181333i | ||||
\(628\) | 11.6863 | + | 14.9827i | 0.466336 | + | 0.597877i | ||||
\(629\) | −4.08496 | − | 8.48251i | −0.162878 | − | 0.338220i | ||||
\(630\) | 0.213123 | − | 0.350426i | 0.00849103 | − | 0.0139613i | ||||
\(631\) | 0.587423 | − | 1.21980i | 0.0233849 | − | 0.0485593i | −0.888949 | − | 0.458006i | \(-0.848564\pi\) |
0.912334 | + | 0.409447i | \(0.134278\pi\) | |||||||
\(632\) | 0.231612 | + | 2.40448i | 0.00921302 | + | 0.0956452i | ||||
\(633\) | 21.1406 | + | 4.82521i | 0.840264 | + | 0.191785i | ||||
\(634\) | −25.6580 | + | 8.82319i | −1.01901 | + | 0.350413i | ||||
\(635\) | 0.517990 | + | 0.649539i | 0.0205558 | + | 0.0257762i | ||||
\(636\) | −19.0170 | − | 4.55674i | −0.754072 | − | 0.180686i | ||||
\(637\) | −15.3811 | − | 28.9238i | −0.609423 | − | 1.14600i | ||||
\(638\) | −0.756157 | + | 6.40079i | −0.0299366 | + | 0.253410i | ||||
\(639\) | −8.60044 | + | 6.85862i | −0.340228 | + | 0.271323i | ||||
\(640\) | −0.453467 | + | 1.15429i | −0.0179249 | + | 0.0456272i | ||||
\(641\) | −3.10376 | + | 13.5985i | −0.122591 | + | 0.537108i | 0.875915 | + | 0.482466i | \(0.160259\pi\) |
−0.998506 | + | 0.0546417i | \(0.982598\pi\) | |||||||
\(642\) | −5.53694 | − | 16.1015i | −0.218525 | − | 0.635477i | ||||
\(643\) | −5.51514 | − | 2.65595i | −0.217496 | − | 0.104740i | 0.321964 | − | 0.946752i | \(-0.395657\pi\) |
−0.539460 | + | 0.842012i | \(0.681371\pi\) | |||||||
\(644\) | −19.6114 | + | 0.180309i | −0.772799 | + | 0.00710518i | ||||
\(645\) | 0.263511 | − | 0.126900i | 0.0103757 | − | 0.00499669i | ||||
\(646\) | 10.4511 | + | 10.5644i | 0.411192 | + | 0.415649i | ||||
\(647\) | 38.9962 | + | 18.7796i | 1.53310 | + | 0.738301i | 0.994547 | − | 0.104292i | \(-0.0332578\pi\) |
0.538551 | + | 0.842593i | \(0.318972\pi\) | |||||||
\(648\) | 0.890878 | + | 2.68446i | 0.0349970 | + | 0.105456i | ||||
\(649\) | 5.44084 | − | 1.24184i | 0.213572 | − | 0.0487463i | ||||
\(650\) | −28.0466 | + | 17.4127i | −1.10008 | + | 0.682981i | ||||
\(651\) | 9.92284 | + | 4.53671i | 0.388907 | + | 0.177808i | ||||
\(652\) | −2.81528 | − | 3.60940i | −0.110255 | − | 0.141355i | ||||
\(653\) | −38.3827 | − | 18.4841i | −1.50203 | − | 0.723340i | −0.511329 | − | 0.859385i | \(-0.670847\pi\) |
−0.990703 | + | 0.136045i | \(0.956561\pi\) | |||||||
\(654\) | −1.96310 | − | 18.3095i | −0.0767634 | − | 0.715960i | ||||
\(655\) | 0.158162i | 0.00617992i | ||||||||
\(656\) | 9.14937 | − | 17.9957i | 0.357223 | − | 0.702615i | ||||
\(657\) | 4.93049 | − | 1.12535i | 0.192357 | − | 0.0439042i | ||||
\(658\) | 37.9450 | − | 13.9019i | 1.47925 | − | 0.541953i | ||||
\(659\) | 30.1174 | + | 6.87410i | 1.17321 | + | 0.267777i | 0.764338 | − | 0.644816i | \(-0.223066\pi\) |
0.408869 | + | 0.912593i | \(0.365923\pi\) | |||||||
\(660\) | −0.0755051 | + | 0.152559i | −0.00293903 | + | 0.00593834i | ||||
\(661\) | 37.7148 | + | 30.0766i | 1.46694 | + | 1.16984i | 0.949353 | + | 0.314212i | \(0.101740\pi\) |
0.517585 | + | 0.855632i | \(0.326831\pi\) | |||||||
\(662\) | 10.0259 | + | 10.1346i | 0.389668 | + | 0.393892i | ||||
\(663\) | −1.68589 | + | 7.38638i | −0.0654746 | + | 0.286863i | ||||
\(664\) | 17.8716 | − | 27.4470i | 0.693551 | − | 1.06515i | ||||
\(665\) | −0.782711 | + | 1.71197i | −0.0303522 | + | 0.0663874i | ||||
\(666\) | 0.876778 | + | 8.17757i | 0.0339745 | + | 0.316875i | ||||
\(667\) | 21.7555i | 0.842375i | ||||||||
\(668\) | 13.8366 | + | 3.31544i | 0.535353 | + | 0.128278i | ||||
\(669\) | −0.445651 | − | 1.95252i | −0.0172299 | − | 0.0754889i | ||||
\(670\) | −1.88088 | − | 1.19603i | −0.0726649 | − | 0.0462066i | ||||
\(671\) | 7.50193 | − | 9.40713i | 0.289609 | − | 0.363158i | ||||
\(672\) | 10.6566 | − | 10.5089i | 0.411087 | − | 0.405390i | ||||
\(673\) | 23.5570 | + | 29.5395i | 0.908055 | + | 1.13867i | 0.989864 | + | 0.142017i | \(0.0453588\pi\) |
−0.0818090 | + | 0.996648i | \(0.526070\pi\) | |||||||
\(674\) | −1.99443 | − | 18.6017i | −0.0768224 | − | 0.716510i | ||||
\(675\) | 3.10996 | + | 3.89976i | 0.119702 | + | 0.150102i | ||||
\(676\) | 13.7983 | + | 11.2493i | 0.530704 | + | 0.432664i | ||||
\(677\) | −12.1628 | − | 9.69953i | −0.467455 | − | 0.372783i | 0.361249 | − | 0.932469i | \(-0.382350\pi\) |
−0.828705 | + | 0.559686i | \(0.810922\pi\) | |||||||
\(678\) | −11.9901 | + | 4.12310i | −0.460476 | + | 0.158347i | ||||
\(679\) | 7.42773 | − | 6.17010i | 0.285050 | − | 0.236787i | ||||
\(680\) | 0.349132 | + | 0.360611i | 0.0133886 | + | 0.0138288i | ||||
\(681\) | −7.34008 | + | 3.53480i | −0.281273 | + | 0.135454i | ||||
\(682\) | −4.26600 | − | 1.51860i | −0.163354 | − | 0.0581502i | ||||
\(683\) | −12.9468 | − | 26.8844i | −0.495397 | − | 1.02870i | −0.987420 | − | 0.158120i | \(-0.949457\pi\) |
0.492023 | − | 0.870582i | \(-0.336258\pi\) | |||||||
\(684\) | −5.50600 | − | 11.7559i | −0.210527 | − | 0.449497i | ||||
\(685\) | 0.532495i | 0.0203456i | ||||||||
\(686\) | 22.9036 | + | 12.7053i | 0.874465 | + | 0.485089i | ||||
\(687\) | − | 18.4939i | − | 0.705587i | ||||||
\(688\) | 10.4539 | − | 2.15002i | 0.398551 | − | 0.0819686i | ||||
\(689\) | 19.8538 | + | 41.2268i | 0.756369 | + | 1.57062i | ||||
\(690\) | −0.192687 | + | 0.541291i | −0.00733547 | + | 0.0206066i | ||||
\(691\) | −3.18735 | + | 1.53495i | −0.121253 | + | 0.0583922i | −0.493527 | − | 0.869731i | \(-0.664292\pi\) |
0.372274 | + | 0.928123i | \(0.378578\pi\) | |||||||
\(692\) | 26.9745 | − | 33.0869i | 1.02542 | − | 1.25777i | ||||
\(693\) | 1.58019 | − | 1.31264i | 0.0600265 | − | 0.0498630i | ||||
\(694\) | −5.12845 | − | 14.9137i | −0.194673 | − | 0.566115i | ||||
\(695\) | 0.423404 | + | 0.337653i | 0.0160606 | + | 0.0128079i | ||||
\(696\) | −11.5481 | − | 11.9278i | −0.437731 | − | 0.452122i | ||||
\(697\) | −5.09433 | − | 6.38808i | −0.192961 | − | 0.241966i | ||||
\(698\) | −7.80168 | + | 0.836476i | −0.295298 | + | 0.0316611i | ||||
\(699\) | −10.0793 | − | 12.6390i | −0.381233 | − | 0.478051i | ||||
\(700\) | 11.2328 | − | 23.8844i | 0.424559 | − | 0.902745i | ||||
\(701\) | −1.98681 | + | 2.49139i | −0.0750409 | + | 0.0940984i | −0.817935 | − | 0.575311i | \(-0.804881\pi\) |
0.742894 | + | 0.669409i | \(0.233453\pi\) | |||||||
\(702\) | 3.55134 | − | 5.58487i | 0.134037 | − | 0.210787i | ||||
\(703\) | −8.39950 | − | 36.8006i | −0.316793 | − | 1.38796i | ||||
\(704\) | −4.02784 | + | 4.72859i | −0.151805 | + | 0.178216i | ||||
\(705\) | − | 1.18390i | − | 0.0445882i | ||||||
\(706\) | −30.4400 | + | 3.26370i | −1.14563 | + | 0.122831i | ||||
\(707\) | −12.1642 | + | 26.6060i | −0.457483 | + | 1.00062i | ||||
\(708\) | −6.37645 | + | 12.8837i | −0.239642 | + | 0.484197i | ||||
\(709\) | −3.66813 | + | 16.0711i | −0.137759 | + | 0.603564i | 0.858165 | + | 0.513374i | \(0.171605\pi\) |
−0.995925 | + | 0.0901900i | \(0.971253\pi\) | |||||||
\(710\) | 1.21230 | − | 1.19930i | 0.0454968 | − | 0.0450090i | ||||
\(711\) | −0.667722 | − | 0.532490i | −0.0250415 | − | 0.0199699i | ||||
\(712\) | 34.7650 | + | 22.6365i | 1.30287 | + | 0.848340i | ||||
\(713\) | −14.9014 | − | 3.40115i | −0.558062 | − | 0.127374i | ||||
\(714\) | −2.08381 | − | 5.68771i | −0.0779845 | − | 0.212857i | ||||
\(715\) | 0.388321 | − | 0.0886318i | 0.0145224 | − | 0.00331464i | ||||
\(716\) | −5.72101 | + | 23.8759i | −0.213804 | + | 0.892285i | ||||
\(717\) | − | 2.96204i | − | 0.110619i | ||||||
\(718\) | −11.5756 | + | 1.24110i | −0.431996 | + | 0.0463175i | ||||
\(719\) | −15.3666 | − | 7.40016i | −0.573077 | − | 0.275979i | 0.124818 | − | 0.992180i | \(-0.460165\pi\) |
−0.697895 | + | 0.716200i | \(0.745880\pi\) | |||||||
\(720\) | −0.181681 | − | 0.399053i | −0.00677087 | − | 0.0148718i | ||||
\(721\) | 14.4433 | + | 6.60345i | 0.537895 | + | 0.245925i | ||||
\(722\) | 17.2530 | + | 27.7894i | 0.642090 | + | 1.03421i | ||||
\(723\) | 7.58264 | − | 1.73069i | 0.282002 | − | 0.0643650i | ||||
\(724\) | −24.2939 | + | 11.3783i | −0.902875 | + | 0.422872i | ||||
\(725\) | −26.3788 | − | 12.7033i | −0.979682 | − | 0.471790i | ||||
\(726\) | 10.4530 | − | 10.3409i | 0.387948 | − | 0.383788i | ||||
\(727\) | −17.2483 | + | 8.30633i | −0.639703 | + | 0.308065i | −0.725473 | − | 0.688250i | \(-0.758379\pi\) |
0.0857704 | + | 0.996315i | \(0.472665\pi\) | |||||||
\(728\) | −34.8156 | − | 3.78873i | −1.29035 | − | 0.140420i | ||||
\(729\) | −0.900969 | − | 0.433884i | −0.0333692 | − | 0.0160698i | ||||
\(730\) | −0.741374 | + | 0.254941i | −0.0274395 | + | 0.00943579i | ||||
\(731\) | 0.961189 | − | 4.21124i | 0.0355509 | − | 0.155758i | ||||
\(732\) | 6.57048 | + | 30.2887i | 0.242852 | + | 1.11950i | ||||
\(733\) | 21.4561 | − | 17.1107i | 0.792498 | − | 0.631996i | −0.141231 | − | 0.989977i | \(-0.545106\pi\) |
0.933729 | + | 0.357980i | \(0.116535\pi\) | |||||||
\(734\) | −13.9954 | − | 1.65335i | −0.516579 | − | 0.0610261i | ||||
\(735\) | 0.580324 | − | 0.501990i | 0.0214056 | − | 0.0185162i | ||||
\(736\) | −11.6292 | + | 17.4457i | −0.428656 | + | 0.643057i | ||||
\(737\) | −6.96062 | − | 8.72834i | −0.256398 | − | 0.321513i | ||||
\(738\) | 2.32103 | + | 6.74962i | 0.0854385 | + | 0.248457i | ||||
\(739\) | −26.8992 | − | 6.13957i | −0.989504 | − | 0.225848i | −0.303013 | − | 0.952986i | \(-0.597993\pi\) |
−0.686491 | + | 0.727139i | \(0.740850\pi\) | |||||||
\(740\) | −0.270288 | − | 1.24598i | −0.00993600 | − | 0.0458031i | ||||
\(741\) | −13.1795 | + | 27.3676i | −0.484163 | + | 1.00537i | ||||
\(742\) | −31.2576 | − | 19.0104i | −1.14750 | − | 0.697892i | ||||
\(743\) | 19.2736 | + | 40.0221i | 0.707082 | + | 1.46827i | 0.875834 | + | 0.482612i | \(0.160312\pi\) |
−0.168753 | + | 0.985658i | \(0.553974\pi\) | |||||||
\(744\) | 9.97532 | − | 6.04515i | 0.365713 | − | 0.221626i | ||||
\(745\) | 0.193129 | − | 0.401037i | 0.00707570 | − | 0.0146928i | ||||
\(746\) | −26.2660 | − | 42.3066i | −0.961666 | − | 1.54896i | ||||
\(747\) | 2.57674 | + | 11.2894i | 0.0942781 | + | 0.413059i | ||||
\(748\) | 1.06629 | + | 2.27664i | 0.0389875 | + | 0.0832424i | ||||
\(749\) | −0.636236 | − | 31.8482i | −0.0232476 | − | 1.16371i | ||||
\(750\) | −1.08893 | − | 1.10073i | −0.0397620 | − | 0.0401930i | ||||
\(751\) | −13.8027 | + | 28.6616i | −0.503668 | + | 1.04588i | 0.481841 | + | 0.876259i | \(0.339968\pi\) |
−0.985510 | + | 0.169620i | \(0.945746\pi\) | |||||||
\(752\) | 10.5191 | − | 41.9014i | 0.383592 | − | 1.52799i | ||||
\(753\) | −22.6512 | −0.825455 | ||||||||
\(754\) | −4.55764 | + | 38.5799i | −0.165979 | + | 1.40500i | ||||
\(755\) | 0.0323661 | + | 0.141805i | 0.00117792 | + | 0.00516082i | ||||
\(756\) | 0.0486484 | + | 5.29128i | 0.00176933 | + | 0.192442i | ||||
\(757\) | 1.97938 | − | 8.67222i | 0.0719417 | − | 0.315197i | −0.926135 | − | 0.377193i | \(-0.876889\pi\) |
0.998076 | + | 0.0619958i | \(0.0197465\pi\) | |||||||
\(758\) | −51.2761 | − | 18.2531i | −1.86243 | − | 0.662983i | ||||
\(759\) | −1.79427 | + | 2.24994i | −0.0651277 | + | 0.0816676i | ||||
\(760\) | 1.04296 | + | 1.72102i | 0.0378321 | + | 0.0624281i | ||||
\(761\) | 10.6314 | + | 2.42654i | 0.385387 | + | 0.0879621i | 0.410825 | − | 0.911714i | \(-0.365241\pi\) |
−0.0254377 | + | 0.999676i | \(0.508098\pi\) | |||||||
\(762\) | −10.0977 | − | 3.59456i | −0.365803 | − | 0.130217i | ||||
\(763\) | 6.99356 | − | 33.7330i | 0.253184 | − | 1.22122i | ||||
\(764\) | 42.5716 | + | 0.458968i | 1.54018 | + | 0.0166049i | ||||
\(765\) | −0.177459 | −0.00641604 | ||||||||
\(766\) | 36.4752 | + | 4.30900i | 1.31790 | + | 0.155691i | ||||
\(767\) | 32.7939 | − | 7.48500i | 1.18412 | − | 0.270268i | ||||
\(768\) | −2.88457 | − | 15.7378i | −0.104088 | − | 0.567890i | ||||
\(769\) | −23.2610 | − | 18.5501i | −0.838814 | − | 0.668932i | 0.106779 | − | 0.994283i | \(-0.465946\pi\) |
−0.945593 | + | 0.325351i | \(0.894518\pi\) | |||||||
\(770\) | −0.221873 | + | 0.228441i | −0.00799576 | + | 0.00823245i | ||||
\(771\) | −7.77350 | + | 6.19916i | −0.279956 | + | 0.223257i | ||||
\(772\) | −0.0768902 | + | 7.13194i | −0.00276734 | + | 0.256684i | ||||
\(773\) | −2.21789 | + | 1.76871i | −0.0797719 | + | 0.0636160i | −0.662564 | − | 0.749005i | \(-0.730532\pi\) |
0.582792 | + | 0.812621i | \(0.301960\pi\) | |||||||
\(774\) | −2.02475 | + | 3.18414i | −0.0727780 | + | 0.114451i | ||||
\(775\) | 12.8251 | − | 16.0821i | 0.460691 | − | 0.577688i | ||||
\(776\) | −0.989769 | − | 10.2753i | −0.0355306 | − | 0.368862i | ||||
\(777\) | −3.12353 | + | 15.0661i | −0.112056 | + | 0.540495i | ||||
\(778\) | 16.7435 | + | 10.6470i | 0.600285 | + | 0.381713i | ||||
\(779\) | −14.2134 | − | 29.5145i | −0.509249 | − | 1.05747i | ||||
\(780\) | −0.455097 | + | 0.919527i | −0.0162951 | + | 0.0329243i | ||||
\(781\) | 7.69530 | − | 3.70586i | 0.275359 | − | 0.132606i | ||||
\(782\) | 4.47586 | + | 7.20927i | 0.160057 | + | 0.257803i | ||||
\(783\) | 5.86975 | 0.209768 | ||||||||
\(784\) | 24.9995 | − | 12.6105i | 0.892839 | − | 0.450376i | ||||
\(785\) | 1.04143 | 0.0371702 | ||||||||
\(786\) | −1.07630 | − | 1.73360i | −0.0383903 | − | 0.0618353i | ||||
\(787\) | −41.1088 | + | 19.7970i | −1.46537 | + | 0.705685i | −0.985187 | − | 0.171483i | \(-0.945144\pi\) |
−0.480183 | + | 0.877168i | \(0.659430\pi\) | |||||||
\(788\) | 0.553768 | − | 1.11889i | 0.0197272 | − | 0.0398589i | ||||
\(789\) | 9.62851 | + | 19.9938i | 0.342784 | + | 0.711799i | ||||
\(790\) | 0.111721 | + | 0.0710417i | 0.00397485 | + | 0.00252755i | ||||
\(791\) | −23.7158 | + | 0.473775i | −0.843238 | + | 0.0168455i | ||||
\(792\) | −0.210565 | − | 2.18599i | −0.00748211 | − | 0.0776757i | ||||
\(793\) | 45.2169 | − | 56.7002i | 1.60570 | − | 2.01348i | ||||
\(794\) | 13.8295 | − | 21.7485i | 0.490792 | − | 0.771824i | ||||
\(795\) | −0.837958 | + | 0.668249i | −0.0297193 | + | 0.0237003i | ||||
\(796\) | −0.175819 | + | 16.3080i | −0.00623172 | + | 0.578023i | ||||
\(797\) | −20.8605 | + | 16.6357i | −0.738917 | + | 0.589267i | −0.918941 | − | 0.394396i | \(-0.870954\pi\) |
0.180024 | + | 0.983662i | \(0.442383\pi\) | |||||||
\(798\) | −3.07083 | − | 24.0910i | −0.108706 | − | 0.852813i | ||||
\(799\) | −13.6703 | − | 10.9017i | −0.483619 | − | 0.385673i | ||||
\(800\) | −14.3627 | − | 24.2873i | −0.507798 | − | 0.858686i | ||||
\(801\) | −14.2995 | + | 3.26376i | −0.505247 | + | 0.115319i | ||||
\(802\) | −16.4956 | − | 1.94871i | −0.582479 | − | 0.0688112i | ||||
\(803\) | −3.92668 | −0.138570 | ||||||||
\(804\) | 28.7551 | + | 0.310012i | 1.01411 | + | 0.0109333i | ||||
\(805\) | −0.653277 | + | 0.853618i | −0.0230250 | + | 0.0300861i | ||||
\(806\) | −25.7128 | − | 9.15315i | −0.905693 | − | 0.322406i | ||||
\(807\) | −16.2678 | − | 3.71302i | −0.572654 | − | 0.130705i | ||||
\(808\) | 16.2088 | + | 26.7467i | 0.570224 | + | 0.940946i | ||||
\(809\) | −25.9943 | + | 32.5958i | −0.913910 | + | 1.14601i | 0.0749549 | + | 0.997187i | \(0.476119\pi\) |
−0.988864 | + | 0.148819i | \(0.952453\pi\) | |||||||
\(810\) | 0.146043 | + | 0.0519881i | 0.00513144 | + | 0.00182667i | ||||
\(811\) | −7.34892 | + | 32.1977i | −0.258056 | + | 1.13062i | 0.665272 | + | 0.746601i | \(0.268316\pi\) |
−0.923327 | + | 0.384014i | \(0.874541\pi\) | |||||||
\(812\) | −13.7330 | − | 27.8588i | −0.481935 | − | 0.977653i | ||||
\(813\) | 3.58886 | + | 15.7238i | 0.125867 | + | 0.551459i | ||||
\(814\) | 0.749177 | − | 6.34169i | 0.0262586 | − | 0.222276i | ||||
\(815\) | −0.250884 | −0.00878809 | ||||||||
\(816\) | −6.28076 | − | 1.57675i | −0.219870 | − | 0.0551971i | ||||
\(817\) | 7.51414 | − | 15.6033i | 0.262886 | − | 0.545889i | ||||
\(818\) | −14.5982 | − | 14.7564i | −0.510413 | − | 0.515945i | ||||
\(819\) | 9.52438 | − | 7.91175i | 0.332809 | − | 0.276459i | ||||
\(820\) | −0.469304 | − | 1.00201i | −0.0163888 | − | 0.0349917i | ||||
\(821\) | 4.75036 | + | 20.8127i | 0.165789 | + | 0.726367i | 0.987650 | + | 0.156679i | \(0.0500789\pi\) |
−0.821861 | + | 0.569688i | \(0.807064\pi\) | |||||||
\(822\) | −3.62364 | − | 5.83660i | −0.126389 | − | 0.203575i | ||||
\(823\) | −18.9541 | + | 39.3587i | −0.660700 | + | 1.37196i | 0.253755 | + | 0.967269i | \(0.418334\pi\) |
−0.914455 | + | 0.404688i | \(0.867380\pi\) | |||||||
\(824\) | 14.5197 | − | 8.79907i | 0.505816 | − | 0.306530i | ||||
\(825\) | −1.68038 | − | 3.48934i | −0.0585032 | − | 0.121483i | ||||
\(826\) | −18.7373 | + | 19.2920i | −0.651954 | + | 0.671253i | ||||
\(827\) | −10.9852 | + | 22.8109i | −0.381991 | + | 0.793213i | 0.617984 | + | 0.786190i | \(0.287950\pi\) |
−0.999975 | + | 0.00702223i | \(0.997765\pi\) | |||||||
\(828\) | −1.57149 | − | 7.24425i | −0.0546129 | − | 0.251755i | ||||
\(829\) | −14.3729 | − | 3.28052i | −0.499192 | − | 0.113937i | −0.0344909 | − | 0.999405i | \(-0.510981\pi\) |
−0.464701 | + | 0.885468i | \(0.653838\pi\) | |||||||
\(830\) | −0.583744 | − | 1.69754i | −0.0202620 | − | 0.0589225i | ||||
\(831\) | 5.91372 | + | 7.41557i | 0.205145 | + | 0.257243i | ||||
\(832\) | −24.2772 | + | 28.5010i | −0.841662 | + | 0.988093i | ||||
\(833\) | −0.452597 | − | 11.3233i | −0.0156816 | − | 0.392331i | ||||
\(834\) | −6.93861 | − | 0.819693i | −0.240264 | − | 0.0283837i | ||||
\(835\) | 0.609690 | − | 0.486212i | 0.0210992 | − | 0.0168261i | ||||
\(836\) | 2.13679 | + | 9.85018i | 0.0739023 | + | 0.340676i | ||||
\(837\) | −0.917649 | + | 4.02048i | −0.0317186 | + | 0.138968i | ||||
\(838\) | 4.15844 | − | 1.42999i | 0.143651 | − | 0.0493981i | ||||
\(839\) | −30.0133 | − | 14.4537i | −1.03618 | − | 0.498996i | −0.163115 | − | 0.986607i | \(-0.552154\pi\) |
−0.873061 | + | 0.487611i | \(0.837868\pi\) | |||||||
\(840\) | −0.0949433 | − | 0.814779i | −0.00327585 | − | 0.0281126i | ||||
\(841\) | −4.91383 | + | 2.36638i | −0.169442 | + | 0.0815992i | ||||
\(842\) | 28.8224 | − | 28.5133i | 0.993285 | − | 0.982634i | ||||
\(843\) | 19.2776 | + | 9.28362i | 0.663957 | + | 0.319745i | ||||
\(844\) | 39.2743 | − | 18.3946i | 1.35188 | − | 0.633168i | ||||
\(845\) | 0.951272 | − | 0.217122i | 0.0327248 | − | 0.00746921i | ||||
\(846\) | 8.05648 | + | 12.9766i | 0.276987 | + | 0.446143i | ||||
\(847\) | 24.5407 | − | 12.4280i | 0.843230 | − | 0.427032i | ||||
\(848\) | −35.5951 | + | 16.2058i | −1.22234 | + | 0.556509i | ||||
\(849\) | 2.13004 | + | 1.02577i | 0.0731027 | + | 0.0352044i | ||||
\(850\) | −11.3548 | + | 1.21744i | −0.389468 | + | 0.0417578i | ||||
\(851\) | − | 21.5546i | − | 0.738883i | ||||||
\(852\) | −5.12657 | + | 21.3951i | −0.175634 | + | 0.732985i | ||||
\(853\) | 1.15126 | − | 0.262768i | 0.0394184 | − | 0.00899699i | −0.202766 | − | 0.979227i | \(-0.564993\pi\) |
0.242185 | + | 0.970230i | \(0.422136\pi\) | |||||||
\(854\) | −5.65104 | + | 57.7068i | −0.193375 | + | 1.97469i | ||||
\(855\) | −0.693647 | − | 0.158320i | −0.0237222 | − | 0.00541444i | ||||
\(856\) | −28.5375 | − | 18.5817i | −0.975393 | − | 0.635108i | ||||
\(857\) | −40.5251 | − | 32.3177i | −1.38431 | − | 1.10395i | −0.982091 | − | 0.188407i | \(-0.939668\pi\) |
−0.402219 | − | 0.915543i | \(-0.631761\pi\) | |||||||
\(858\) | −3.65319 | + | 3.61402i | −0.124718 | + | 0.123381i | ||||
\(859\) | 12.7531 | − | 55.8749i | 0.435130 | − | 1.90643i | 0.0129471 | − | 0.999916i | \(-0.495879\pi\) |
0.422182 | − | 0.906511i | \(-0.361264\pi\) | |||||||
\(860\) | 0.259467 | − | 0.524256i | 0.00884776 | − | 0.0178770i | ||||
\(861\) | 0.266705 | + | 13.3505i | 0.00908927 | + | 0.454983i | ||||
\(862\) | 49.1441 | − | 5.26910i | 1.67385 | − | 0.179466i | ||||
\(863\) | − | 46.3661i | − | 1.57832i | −0.614187 | − | 0.789160i | \(-0.710516\pi\) | ||
0.614187 | − | 0.789160i | \(-0.289484\pi\) | |||||||
\(864\) | 4.70695 | + | 3.13761i | 0.160134 | + | 0.106744i | ||||
\(865\) | −0.520635 | − | 2.28105i | −0.0177021 | − | 0.0775581i | ||||
\(866\) | −4.05972 | + | 6.38435i | −0.137955 | + | 0.216949i | ||||
\(867\) | 8.96524 | − | 11.2421i | 0.304475 | − | 0.381800i | ||||
\(868\) | 21.2289 | − | 5.05113i | 0.720554 | − | 0.171446i | ||||
\(869\) | 0.413447 | + | 0.518446i | 0.0140252 | + | 0.0175871i | ||||
\(870\) | −0.904747 | + | 0.0970046i | −0.0306738 | + | 0.00328876i | ||||
\(871\) | −41.9542 | − | 52.6089i | −1.42156 | − | 1.78258i | ||||
\(872\) | −25.6175 | − | 26.4597i | −0.867518 | − | 0.896039i | ||||
\(873\) | 2.85344 | + | 2.27554i | 0.0965743 | + | 0.0770154i | ||||
\(874\) | 11.0634 | + | 32.1726i | 0.374224 | + | 1.08825i | ||||
\(875\) | −1.30870 | − | 2.58420i | −0.0442422 | − | 0.0873619i | ||||
\(876\) | 6.39122 | − | 7.83945i | 0.215939 | − | 0.264870i | ||||
\(877\) | 28.7604 | − | 13.8503i | 0.971169 | − | 0.467690i | 0.120110 | − | 0.992761i | \(-0.461675\pi\) |
0.851059 | + | 0.525070i | \(0.175961\pi\) | |||||||
\(878\) | 7.89042 | − | 22.1655i | 0.266289 | − | 0.748051i | ||||
\(879\) | 0.00576532 | + | 0.0119718i | 0.000194460 | + | 0.000403799i | ||||
\(880\) | 0.0685820 | + | 0.333462i | 0.00231190 | + | 0.0112410i | ||||
\(881\) | 15.1123i | 0.509147i | 0.967053 | + | 0.254573i | \(0.0819351\pi\) | ||||
−0.967053 | + | 0.254573i | \(0.918065\pi\) | |||||||
\(882\) | −2.94479 | + | 9.45136i | −0.0991563 | + | 0.318244i | ||||
\(883\) | − | 57.9874i | − | 1.95143i | −0.219039 | − | 0.975716i | \(-0.570292\pi\) | ||
0.219039 | − | 0.975716i | \(-0.429708\pi\) | |||||||
\(884\) | 6.42694 | + | 13.7222i | 0.216161 | + | 0.461526i | ||||
\(885\) | 0.341848 | + | 0.709855i | 0.0114911 | + | 0.0238615i | ||||
\(886\) | −37.8374 | − | 13.4693i | −1.27117 | − | 0.452509i | ||||
\(887\) | 26.9311 | − | 12.9693i | 0.904259 | − | 0.435468i | 0.0768335 | − | 0.997044i | \(-0.475519\pi\) |
0.827425 | + | 0.561576i | \(0.189805\pi\) | |||||||
\(888\) | 11.4415 | + | 11.8177i | 0.383952 | + | 0.396575i | ||||
\(889\) | −15.9242 | − | 12.1868i | −0.534080 | − | 0.408733i | ||||
\(890\) | 2.15014 | − | 0.739383i | 0.0720730 | − | 0.0247842i | ||||
\(891\) | 0.607046 | + | 0.484103i | 0.0203368 | + | 0.0162181i | ||||
\(892\) | −3.10450 | − | 2.53099i | −0.103946 | − | 0.0847437i | ||||
\(893\) | −43.7080 | − | 54.8081i | −1.46263 | − | 1.83408i | ||||
\(894\) | 0.612207 | + | 5.70995i | 0.0204752 | + | 0.190969i | ||||
\(895\) | 0.838990 | + | 1.05206i | 0.0280443 | + | 0.0351665i | ||||
\(896\) | 3.87912 | − | 29.6808i | 0.129592 | − | 0.991567i | ||||
\(897\) | −10.8147 | + | 13.5612i | −0.361092 | + | 0.452795i | ||||
\(898\) | 20.0321 | + | 12.7381i | 0.668480 | + | 0.425077i | ||||
\(899\) | −5.38637 | − | 23.5992i | −0.179645 | − | 0.787078i | ||||
\(900\) | 9.70135 | + | 2.32458i | 0.323378 | + | 0.0774861i | ||||
\(901\) | 15.8291i | 0.527345i | ||||||||
\(902\) | −0.590801 | − | 5.51030i | −0.0196715 | − | 0.183473i | ||||
\(903\) | −5.43020 | + | 4.51078i | −0.180706 | + | 0.150109i | ||||
\(904\) | −13.8369 | + | 21.2506i | −0.460208 | + | 0.706783i | ||||
\(905\) | −0.327174 | + | 1.43344i | −0.0108756 | + | 0.0476493i | ||||
\(906\) | −1.31975 | − | 1.33405i | −0.0438457 | − | 0.0443210i | ||||
\(907\) | 31.7003 | + | 25.2801i | 1.05259 | + | 0.839413i | 0.987366 | − | 0.158457i | \(-0.0506521\pi\) |
0.0652250 | + | 0.997871i | \(0.479223\pi\) | |||||||
\(908\) | −7.22744 | + | 14.6031i | −0.239851 | + | 0.484621i | ||||
\(909\) | −10.7801 | − | 2.46048i | −0.357553 | − | 0.0816091i | ||||
\(910\) | −1.33731 | + | 1.37690i | −0.0443314 | + | 0.0456437i | ||||
\(911\) | −34.2254 | + | 7.81173i | −1.13394 | + | 0.258814i | −0.747993 | − | 0.663707i | \(-0.768982\pi\) |
−0.385946 | + | 0.922521i | \(0.626125\pi\) | |||||||
\(912\) | −23.1434 | − | 11.7665i | −0.766353 | − | 0.389629i | ||||
\(913\) | − | 8.99101i | − | 0.297559i | ||||||
\(914\) | −0.0892847 | − | 0.832744i | −0.00295328 | − | 0.0275447i | ||||
\(915\) | 1.53045 | + | 0.737027i | 0.0505952 | + | 0.0243654i | ||||
\(916\) | −22.7484 | − | 29.1652i | −0.751629 | − | 0.963644i | ||||
\(917\) | −0.923637 | − | 3.70407i | −0.0305012 | − | 0.122319i | ||||
\(918\) | 1.94510 | − | 1.20761i | 0.0641979 | − | 0.0398572i | ||||
\(919\) | 39.1159 | − | 8.92794i | 1.29031 | − | 0.294506i | 0.478327 | − | 0.878182i | \(-0.341243\pi\) |
0.811986 | + | 0.583676i | \(0.198386\pi\) | |||||||
\(920\) | 0.361944 | + | 1.09064i | 0.0119330 | + | 0.0359573i | ||||
\(921\) | 18.0157 | + | 8.67593i | 0.593639 | + | 0.285881i | ||||
\(922\) | −11.1646 | − | 11.2856i | −0.367685 | − | 0.371671i | ||||
\(923\) | 46.3824 | − | 22.3366i | 1.52669 | − | 0.735217i | ||||
\(924\) | 0.877372 | − | 4.01376i | 0.0288634 | − | 0.132043i | ||||
\(925\) | 26.1352 | + | 12.5861i | 0.859321 | + | 0.413827i | ||||
\(926\) | −16.0855 | − | 46.7770i | −0.528602 | − | 1.53719i | ||||
\(927\) | −1.33569 | + | 5.85204i | −0.0438698 | + | 0.192206i | ||||
\(928\) | −32.8834 | − | 4.60553i | −1.07945 | − | 0.151184i | ||||
\(929\) | 19.0980 | − | 15.2302i | 0.626587 | − | 0.499686i | −0.257949 | − | 0.966158i | \(-0.583047\pi\) |
0.884536 | + | 0.466472i | \(0.154475\pi\) | |||||||
\(930\) | 0.0750006 | − | 0.634871i | 0.00245937 | − | 0.0208183i | ||||
\(931\) | 8.33304 | − | 44.6642i | 0.273104 | − | 1.46381i | ||||
\(932\) | −31.4417 | − | 7.53389i | −1.02991 | − | 0.246781i | ||||
\(933\) | 6.43815 | + | 8.07319i | 0.210776 | + | 0.264304i | ||||
\(934\) | −35.1173 | + | 12.0760i | −1.14907 | + | 0.395138i | ||||
\(935\) | 0.134332 | + | 0.0306603i | 0.00439312 | + | 0.00100270i | ||||
\(936\) | −1.26915 | − | 13.1757i | −0.0414836 | − | 0.430663i | ||||
\(937\) | −11.5408 | + | 23.9646i | −0.377020 | + | 0.782891i | 0.622980 | + | 0.782238i | \(0.285922\pi\) |
−1.00000 | 0.000652479i | \(0.999792\pi\) | ||||||||
\(938\) | 51.0337 | + | 17.0262i | 1.66631 | + | 0.555926i | ||||
\(939\) | −0.923951 | − | 1.91860i | −0.0301520 | − | 0.0626113i | ||||
\(940\) | −1.45626 | − | 1.86703i | −0.0474978 | − | 0.0608957i | ||||
\(941\) | 7.08218 | − | 14.7063i | 0.230873 | − | 0.479412i | −0.753060 | − | 0.657952i | \(-0.771423\pi\) |
0.983933 | + | 0.178540i | \(0.0571374\pi\) | |||||||
\(942\) | −11.4150 | + | 7.08697i | −0.371920 | + | 0.230906i | ||||
\(943\) | −4.16250 | − | 18.2371i | −0.135550 | − | 0.593882i | ||||
\(944\) | 5.79179 | + | 28.1611i | 0.188507 | + | 0.916565i | ||||
\(945\) | 0.230311 | + | 0.176258i | 0.00749201 | + | 0.00573367i | ||||
\(946\) | 2.08282 | − | 2.06048i | 0.0677183 | − | 0.0669921i | ||||
\(947\) | −15.8143 | + | 32.8388i | −0.513896 | + | 1.06712i | 0.469041 | + | 0.883176i | \(0.344600\pi\) |
−0.982937 | + | 0.183940i | \(0.941115\pi\) | |||||||
\(948\) | −1.70800 | − | 0.0184141i | −0.0554732 | − | 0.000598062i | ||||
\(949\) | −23.6676 | −0.768281 | ||||||||
\(950\) | −45.4697 | − | 5.37156i | −1.47523 | − | 0.174277i | ||||
\(951\) | −4.26922 | − | 18.7047i | −0.138439 | − | 0.606541i | ||||
\(952\) | −10.2824 | − | 6.40642i | −0.333253 | − | 0.207633i | ||||
\(953\) | −10.4977 | + | 45.9934i | −0.340054 | + | 1.48987i | 0.458904 | + | 0.888486i | \(0.348242\pi\) |
−0.798958 | + | 0.601387i | \(0.794615\pi\) | |||||||
\(954\) | 4.63728 | − | 13.0269i | 0.150137 | − | 0.421762i | ||||
\(955\) | 1.45485 | − | 1.82433i | 0.0470779 | − | 0.0590338i | ||||
\(956\) | −3.64345 | − | 4.67117i | −0.117838 | − | 0.151077i | ||||
\(957\) | −4.44325 | − | 1.01414i | −0.143630 | − | 0.0327825i | ||||
\(958\) | 11.8006 | − | 33.1499i | 0.381261 | − | 1.07103i | ||||
\(959\) | −3.10966 | − | 12.4707i | −0.100416 | − | 0.402700i | ||||
\(960\) | −0.777369 | − | 0.405835i | −0.0250895 | − | 0.0130983i | ||||
\(961\) | −13.9936 | −0.451408 | ||||||||
\(962\) | 4.51556 | − | 38.2237i | 0.145587 | − | 1.23238i | ||||
\(963\) | 11.7380 | − | 2.67912i | 0.378252 | − | 0.0863336i | ||||
\(964\) | 9.82911 | − | 12.0564i | 0.316574 | − | 0.388309i | ||||
\(965\) | 0.305626 | + | 0.243729i | 0.00983845 | + | 0.00784591i | ||||
\(966\) | 1.35158 | − | 13.8020i | 0.0434864 | − | 0.444071i | ||||
\(967\) | 33.5351 | − | 26.7433i | 1.07842 | − | 0.860008i | 0.0877253 | − | 0.996145i | \(-0.472040\pi\) |
0.990690 | + | 0.136137i | \(0.0434688\pi\) | |||||||
\(968\) | 3.76471 | − | 29.1656i | 0.121002 | − | 0.937417i | ||||
\(969\) | −8.21538 | + | 6.55155i | −0.263916 | + | 0.210466i | ||||
\(970\) | −0.477427 | − | 0.303589i | −0.0153293 | − | 0.00974766i | ||||
\(971\) | −14.3203 | + | 17.9571i | −0.459561 | + | 0.576271i | −0.956581 | − | 0.291468i | \(-0.905856\pi\) |
0.497020 | + | 0.867739i | \(0.334428\pi\) | |||||||
\(972\) | −1.95454 | + | 0.423996i | −0.0626919 | + | 0.0135997i | ||||
\(973\) | −11.8877 | − | 5.43504i | −0.381102 | − | 0.174239i | ||||
\(974\) | −25.7097 | + | 40.4313i | −0.823792 | + | 1.29550i | ||||
\(975\) | −10.1282 | − | 21.0315i | −0.324363 | − | 0.673548i | ||||
\(976\) | 47.6183 | + | 39.6837i | 1.52422 | + | 1.27024i | ||||
\(977\) | −17.0141 | + | 8.19358i | −0.544331 | + | 0.262136i | −0.685779 | − | 0.727810i | \(-0.740538\pi\) |
0.141448 | + | 0.989946i | \(0.454824\pi\) | |||||||
\(978\) | 2.74991 | − | 1.70727i | 0.0879323 | − | 0.0545926i | ||||
\(979\) | 11.3882 | 0.363969 | ||||||||
\(980\) | 0.297707 | − | 1.50547i | 0.00950991 | − | 0.0480906i | ||||
\(981\) | 13.0210 | 0.415729 | ||||||||
\(982\) | 0.744212 | − | 0.462043i | 0.0237488 | − | 0.0147444i | ||||
\(983\) | 14.4708 | − | 6.96879i | 0.461548 | − | 0.222270i | −0.188635 | − | 0.982047i | \(-0.560406\pi\) |
0.650183 | + | 0.759777i | \(0.274692\pi\) | |||||||
\(984\) | 11.9627 | + | 7.78927i | 0.381356 | + | 0.248313i | ||||
\(985\) | −0.0296881 | − | 0.0616479i | −0.000945941 | − | 0.00196427i | ||||
\(986\) | −7.21106 | + | 11.3402i | −0.229647 | + | 0.361145i | ||||
\(987\) | 6.91374 | + | 27.7262i | 0.220067 | + | 0.882535i | ||||
\(988\) | 12.8792 | + | 59.3706i | 0.409742 | + | 1.88883i | ||||
\(989\) | 6.16585 | − | 7.73173i | 0.196063 | − | 0.245855i | ||||
\(990\) | −0.101569 | − | 0.0645861i | −0.00322807 | − | 0.00205268i | ||||
\(991\) | −26.8126 | + | 21.3823i | −0.851729 | + | 0.679231i | −0.948742 | − | 0.316052i | \(-0.897643\pi\) |
0.0970130 | + | 0.995283i | \(0.469071\pi\) | |||||||
\(992\) | 8.29539 | − | 21.8034i | 0.263379 | − | 0.692260i | ||||
\(993\) | −7.88117 | + | 6.28502i | −0.250101 | + | 0.199449i | ||||
\(994\) | −21.3877 | + | 35.1665i | −0.678375 | + | 1.11541i | ||||
\(995\) | 0.698851 | + | 0.557315i | 0.0221551 | + | 0.0176681i | ||||
\(996\) | 17.9501 | + | 14.6341i | 0.568772 | + | 0.463699i | ||||
\(997\) | −1.52221 | + | 0.347434i | −0.0482088 | + | 0.0110033i | −0.246557 | − | 0.969128i | \(-0.579299\pi\) |
0.198349 | + | 0.980132i | \(0.436442\pi\) | |||||||
\(998\) | −5.88842 | + | 49.8448i | −0.186395 | + | 1.57781i | ||||
\(999\) | −5.81556 | −0.183996 |
(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 | 588.2.x.a.139.20 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.b.139.21 | yes | 168 | ||
49.6 | odd | 14 | 588.2.x.b.55.21 | yes | 168 | ||
196.55 | even | 14 | inner | 588.2.x.a.55.20 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.20 | ✓ | 168 | 196.55 | even | 14 | inner | |
588.2.x.a.139.20 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.55.21 | yes | 168 | 49.6 | odd | 14 | ||
588.2.x.b.139.21 | yes | 168 | 4.3 | odd | 2 |