Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 22.1 | ||
Character | \(\chi\) | \(=\) | 81.22 |
Dual form | 81.2.g.a.70.1 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.73514 | − | 1.83915i | −1.22693 | − | 1.30047i | −0.939450 | − | 0.342687i | \(-0.888663\pi\) |
−0.287483 | − | 0.957786i | \(-0.592818\pi\) | |||||||
\(3\) | 0.490818 | + | 1.66105i | 0.283374 | + | 0.959010i | ||||
\(4\) | −0.255441 | + | 4.38575i | −0.127721 | + | 2.19288i | ||||
\(5\) | 2.82084 | − | 0.329709i | 1.26152 | − | 0.147450i | 0.541080 | − | 0.840971i | \(-0.318016\pi\) |
0.720437 | + | 0.693521i | \(0.243941\pi\) | |||||||
\(6\) | 2.20328 | − | 3.78485i | 0.899485 | − | 1.54516i | ||||
\(7\) | 0.491668 | + | 0.246925i | 0.185833 | + | 0.0933288i | 0.539283 | − | 0.842125i | \(-0.318695\pi\) |
−0.353450 | + | 0.935453i | \(0.614992\pi\) | |||||||
\(8\) | 4.63542 | − | 3.88958i | 1.63887 | − | 1.37517i | ||||
\(9\) | −2.51820 | + | 1.63055i | −0.839399 | + | 0.543516i | ||||
\(10\) | −5.50094 | − | 4.61584i | −1.73955 | − | 1.45966i | ||||
\(11\) | −1.21498 | − | 2.81665i | −0.366331 | − | 0.849251i | −0.997299 | − | 0.0734426i | \(-0.976601\pi\) |
0.630968 | − | 0.775809i | \(-0.282658\pi\) | |||||||
\(12\) | −7.41034 | + | 1.72830i | −2.13918 | + | 0.498918i | ||||
\(13\) | 4.51913 | + | 1.07105i | 1.25338 | + | 0.297057i | 0.803108 | − | 0.595834i | \(-0.203178\pi\) |
0.450273 | + | 0.892891i | \(0.351327\pi\) | |||||||
\(14\) | −0.398984 | − | 1.33270i | −0.106633 | − | 0.356179i | ||||
\(15\) | 1.93218 | + | 4.52373i | 0.498887 | + | 1.16802i | ||||
\(16\) | −6.46966 | − | 0.756195i | −1.61742 | − | 0.189049i | ||||
\(17\) | −0.523880 | + | 2.97107i | −0.127060 | + | 0.720591i | 0.853004 | + | 0.521905i | \(0.174778\pi\) |
−0.980063 | + | 0.198686i | \(0.936333\pi\) | |||||||
\(18\) | 7.36825 | + | 1.80209i | 1.73671 | + | 0.424757i | ||||
\(19\) | −0.875112 | − | 4.96301i | −0.200765 | − | 1.13859i | −0.903967 | − | 0.427602i | \(-0.859358\pi\) |
0.703202 | − | 0.710990i | \(-0.251753\pi\) | |||||||
\(20\) | 0.725463 | + | 12.4557i | 0.162218 | + | 2.78518i | ||||
\(21\) | −0.168836 | + | 0.937881i | −0.0368430 | + | 0.204662i | ||||
\(22\) | −3.07205 | + | 7.12182i | −0.654964 | + | 1.51838i | ||||
\(23\) | −7.43891 | + | 3.73596i | −1.55112 | + | 0.779001i | −0.998517 | − | 0.0544439i | \(-0.982661\pi\) |
−0.552602 | + | 0.833445i | \(0.686365\pi\) | |||||||
\(24\) | 8.73594 | + | 5.79060i | 1.78322 | + | 1.18200i | ||||
\(25\) | 2.98319 | − | 0.707029i | 0.596638 | − | 0.141406i | ||||
\(26\) | −5.87152 | − | 10.1698i | −1.15150 | − | 1.99446i | ||||
\(27\) | −3.94440 | − | 3.38256i | −0.759101 | − | 0.650973i | ||||
\(28\) | −1.20854 | + | 2.09326i | −0.228393 | + | 0.395589i | ||||
\(29\) | 0.455914 | − | 1.52286i | 0.0846610 | − | 0.282788i | −0.905167 | − | 0.425056i | \(-0.860254\pi\) |
0.989828 | + | 0.142268i | \(0.0454396\pi\) | |||||||
\(30\) | 4.96719 | − | 11.4029i | 0.906882 | − | 2.08187i | ||||
\(31\) | −4.12061 | − | 2.71017i | −0.740083 | − | 0.486760i | 0.122631 | − | 0.992452i | \(-0.460867\pi\) |
−0.862714 | + | 0.505692i | \(0.831237\pi\) | |||||||
\(32\) | 2.60811 | + | 3.50329i | 0.461052 | + | 0.619301i | ||||
\(33\) | 4.08227 | − | 3.40061i | 0.710631 | − | 0.591971i | ||||
\(34\) | 6.37324 | − | 4.19175i | 1.09300 | − | 0.718879i | ||||
\(35\) | 1.46833 | + | 0.534427i | 0.248193 | + | 0.0903347i | ||||
\(36\) | −6.50793 | − | 11.4607i | −1.08466 | − | 1.91012i | ||||
\(37\) | −3.36770 | + | 1.22574i | −0.553646 | + | 0.201511i | −0.603666 | − | 0.797237i | \(-0.706294\pi\) |
0.0500195 | + | 0.998748i | \(0.484072\pi\) | |||||||
\(38\) | −7.60925 | + | 10.2210i | −1.23438 | + | 1.65806i | ||||
\(39\) | 0.438992 | + | 8.03221i | 0.0702950 | + | 1.28618i | ||||
\(40\) | 11.7933 | − | 12.5002i | 1.86469 | − | 1.97646i | ||||
\(41\) | 0.784492 | − | 0.831513i | 0.122517 | − | 0.129860i | −0.663211 | − | 0.748432i | \(-0.730807\pi\) |
0.785728 | + | 0.618572i | \(0.212288\pi\) | |||||||
\(42\) | 2.01786 | − | 1.31685i | 0.311362 | − | 0.203194i | ||||
\(43\) | −0.215297 | + | 0.289194i | −0.0328325 | + | 0.0441016i | −0.818236 | − | 0.574882i | \(-0.805048\pi\) |
0.785404 | + | 0.618984i | \(0.212455\pi\) | |||||||
\(44\) | 12.6635 | − | 4.60913i | 1.90909 | − | 0.694852i | ||||
\(45\) | −6.56582 | + | 5.42978i | −0.978774 | + | 0.809424i | ||||
\(46\) | 19.7786 | + | 7.19880i | 2.91619 | + | 1.06141i | ||||
\(47\) | 6.79107 | − | 4.46656i | 0.990580 | − | 0.651514i | 0.0527490 | − | 0.998608i | \(-0.483202\pi\) |
0.937831 | + | 0.347093i | \(0.112831\pi\) | |||||||
\(48\) | −1.91934 | − | 11.1176i | −0.277034 | − | 1.60469i | ||||
\(49\) | −3.99934 | − | 5.37205i | −0.571335 | − | 0.767436i | ||||
\(50\) | −6.47660 | − | 4.25972i | −0.915929 | − | 0.602416i | ||||
\(51\) | −5.19224 | + | 0.588062i | −0.727059 | + | 0.0823451i | ||||
\(52\) | −5.85175 | + | 19.5462i | −0.811491 | + | 2.71057i | ||||
\(53\) | −0.345591 | + | 0.598582i | −0.0474706 | + | 0.0822215i | −0.888784 | − | 0.458326i | \(-0.848449\pi\) |
0.841314 | + | 0.540547i | \(0.181783\pi\) | |||||||
\(54\) | 0.623097 | + | 13.1236i | 0.0847928 | + | 1.78589i | ||||
\(55\) | −4.35594 | − | 7.54471i | −0.587355 | − | 1.01733i | ||||
\(56\) | 3.23952 | − | 0.767780i | 0.432899 | − | 0.102599i | ||||
\(57\) | 7.81430 | − | 3.88954i | 1.03503 | − | 0.515182i | ||||
\(58\) | −3.59183 | + | 1.80389i | −0.471631 | + | 0.236862i | ||||
\(59\) | −0.234391 | + | 0.543379i | −0.0305151 | + | 0.0707419i | −0.932792 | − | 0.360415i | \(-0.882635\pi\) |
0.902277 | + | 0.431157i | \(0.141894\pi\) | |||||||
\(60\) | −20.3335 | + | 7.31852i | −2.62505 | + | 0.944817i | ||||
\(61\) | −0.202481 | − | 3.47647i | −0.0259251 | − | 0.445116i | −0.986147 | − | 0.165877i | \(-0.946955\pi\) |
0.960221 | − | 0.279240i | \(-0.0900824\pi\) | |||||||
\(62\) | 2.16546 | + | 12.2809i | 0.275014 | + | 1.55968i | ||||
\(63\) | −1.64074 | + | 0.179883i | −0.206714 | + | 0.0226631i | ||||
\(64\) | −0.344558 | + | 1.95409i | −0.0430698 | + | 0.244261i | ||||
\(65\) | 13.1009 | + | 1.53127i | 1.62496 | + | 0.189931i | ||||
\(66\) | −13.3375 | − | 1.60733i | −1.64174 | − | 0.197849i | ||||
\(67\) | 2.88303 | + | 9.63000i | 0.352219 | + | 1.17649i | 0.932225 | + | 0.361880i | \(0.117865\pi\) |
−0.580006 | + | 0.814612i | \(0.696950\pi\) | |||||||
\(68\) | −12.8966 | − | 3.05654i | −1.56394 | − | 0.370660i | ||||
\(69\) | −9.85677 | − | 10.5227i | −1.18662 | − | 1.26679i | ||||
\(70\) | −1.56487 | − | 3.62778i | −0.187038 | − | 0.433602i | ||||
\(71\) | 1.87423 | + | 1.57266i | 0.222430 | + | 0.186641i | 0.747192 | − | 0.664608i | \(-0.231401\pi\) |
−0.524762 | + | 0.851249i | \(0.675846\pi\) | |||||||
\(72\) | −5.33075 | + | 17.3530i | −0.628234 | + | 2.04507i | ||||
\(73\) | 3.96729 | − | 3.32895i | 0.464336 | − | 0.389624i | −0.380387 | − | 0.924827i | \(-0.624209\pi\) |
0.844724 | + | 0.535203i | \(0.179765\pi\) | |||||||
\(74\) | 8.09776 | + | 4.06685i | 0.941346 | + | 0.472762i | ||||
\(75\) | 2.63862 | + | 4.60822i | 0.304681 | + | 0.532111i | ||||
\(76\) | 21.9901 | − | 2.57027i | 2.52243 | − | 0.294830i | ||||
\(77\) | 0.0981321 | − | 1.68486i | 0.0111832 | − | 0.192008i | ||||
\(78\) | 14.0107 | − | 14.7444i | 1.58640 | − | 1.66948i | ||||
\(79\) | 1.54397 | + | 1.63651i | 0.173710 | + | 0.184122i | 0.808379 | − | 0.588662i | \(-0.200345\pi\) |
−0.634669 | + | 0.772784i | \(0.718864\pi\) | |||||||
\(80\) | −18.4992 | −2.06827 | ||||||||
\(81\) | 3.68262 | − | 8.21208i | 0.409180 | − | 0.912454i | ||||
\(82\) | −2.89048 | −0.319200 | ||||||||
\(83\) | −2.09027 | − | 2.21556i | −0.229437 | − | 0.243189i | 0.602420 | − | 0.798179i | \(-0.294203\pi\) |
−0.831857 | + | 0.554991i | \(0.812722\pi\) | |||||||
\(84\) | −4.07019 | − | 0.980046i | −0.444094 | − | 0.106932i | ||||
\(85\) | −0.498193 | + | 8.55364i | −0.0540366 | + | 0.927772i | ||||
\(86\) | 0.905441 | − | 0.105831i | 0.0976362 | − | 0.0114120i | ||||
\(87\) | 2.75332 | + | 0.00985140i | 0.295187 | + | 0.00105618i | ||||
\(88\) | −16.5875 | − | 8.33057i | −1.76824 | − | 0.888042i | ||||
\(89\) | −8.84763 | + | 7.42404i | −0.937846 | + | 0.786947i | −0.977209 | − | 0.212278i | \(-0.931912\pi\) |
0.0393628 | + | 0.999225i | \(0.487467\pi\) | |||||||
\(90\) | 21.3788 | + | 2.65403i | 2.25352 | + | 0.279760i | ||||
\(91\) | 1.95744 | + | 1.64249i | 0.205195 | + | 0.172179i | ||||
\(92\) | −14.4848 | − | 33.5795i | −1.51014 | − | 3.50091i | ||||
\(93\) | 2.47926 | − | 8.17475i | 0.257088 | − | 0.847682i | ||||
\(94\) | −19.9981 | − | 4.73965i | −2.06265 | − | 0.488857i | ||||
\(95\) | −4.10490 | − | 13.7113i | −0.421153 | − | 1.40675i | ||||
\(96\) | −4.53905 | + | 6.05168i | −0.463265 | + | 0.617647i | ||||
\(97\) | 4.17497 | + | 0.487985i | 0.423904 | + | 0.0495473i | 0.325371 | − | 0.945586i | \(-0.394511\pi\) |
0.0985334 | + | 0.995134i | \(0.468585\pi\) | |||||||
\(98\) | −2.94055 | + | 16.6767i | −0.297040 | + | 1.68460i | ||||
\(99\) | 7.65225 | + | 5.11178i | 0.769080 | + | 0.513753i | ||||
\(100\) | 2.33883 | + | 13.2641i | 0.233883 | + | 1.32641i | ||||
\(101\) | −0.223892 | − | 3.84408i | −0.0222781 | − | 0.382500i | −0.990957 | − | 0.134182i | \(-0.957159\pi\) |
0.968679 | − | 0.248318i | \(-0.0798777\pi\) | |||||||
\(102\) | 10.0908 | + | 8.52891i | 0.999140 | + | 0.844488i | ||||
\(103\) | −0.716099 | + | 1.66010i | −0.0705593 | + | 0.163575i | −0.949846 | − | 0.312718i | \(-0.898761\pi\) |
0.879287 | + | 0.476293i | \(0.158020\pi\) | |||||||
\(104\) | 25.1140 | − | 12.6127i | 2.46263 | − | 1.23678i | ||||
\(105\) | −0.167031 | + | 2.70128i | −0.0163006 | + | 0.263618i | ||||
\(106\) | 1.70053 | − | 0.403033i | 0.165170 | − | 0.0391460i | ||||
\(107\) | 6.20251 | + | 10.7431i | 0.599619 | + | 1.03857i | 0.992877 | + | 0.119143i | \(0.0380146\pi\) |
−0.393258 | + | 0.919428i | \(0.628652\pi\) | |||||||
\(108\) | 15.8426 | − | 16.4351i | 1.52446 | − | 1.58147i | ||||
\(109\) | 4.85004 | − | 8.40052i | 0.464550 | − | 0.804624i | −0.534631 | − | 0.845085i | \(-0.679550\pi\) |
0.999181 | + | 0.0404618i | \(0.0128829\pi\) | |||||||
\(110\) | −6.31764 | + | 21.1024i | −0.602363 | + | 2.01203i | ||||
\(111\) | −3.68895 | − | 4.99231i | −0.350140 | − | 0.473849i | ||||
\(112\) | −2.99420 | − | 1.96932i | −0.282925 | − | 0.186083i | ||||
\(113\) | 8.79223 | + | 11.8100i | 0.827104 | + | 1.11099i | 0.992193 | + | 0.124714i | \(0.0398014\pi\) |
−0.165089 | + | 0.986279i | \(0.552791\pi\) | |||||||
\(114\) | −20.7124 | − | 7.62272i | −1.93989 | − | 0.713934i | ||||
\(115\) | −19.7522 | + | 12.9912i | −1.84190 | + | 1.21144i | ||||
\(116\) | 6.56242 | + | 2.38852i | 0.609305 | + | 0.221769i | ||||
\(117\) | −13.1265 | + | 4.67154i | −1.21354 | + | 0.431884i | ||||
\(118\) | 1.40606 | − | 0.511762i | 0.129438 | − | 0.0471115i | ||||
\(119\) | −0.991206 | + | 1.33142i | −0.0908637 | + | 0.122051i | ||||
\(120\) | 26.5519 | + | 13.4540i | 2.42384 | + | 1.22818i | ||||
\(121\) | 1.09134 | − | 1.15675i | 0.0992125 | − | 0.105159i | ||||
\(122\) | −6.04240 | + | 6.40457i | −0.547053 | + | 0.579842i | ||||
\(123\) | 1.76623 | + | 0.894961i | 0.159256 | + | 0.0806960i | ||||
\(124\) | 12.9387 | − | 17.3797i | 1.16193 | − | 1.56074i | ||||
\(125\) | −5.16184 | + | 1.87876i | −0.461689 | + | 0.168041i | ||||
\(126\) | 3.17775 | + | 2.70543i | 0.283096 | + | 0.241019i | ||||
\(127\) | −15.1515 | − | 5.51470i | −1.34448 | − | 0.489350i | −0.433259 | − | 0.901270i | \(-0.642636\pi\) |
−0.911220 | + | 0.411919i | \(0.864859\pi\) | |||||||
\(128\) | 11.4897 | − | 7.55692i | 1.01556 | − | 0.667944i | ||||
\(129\) | −0.586038 | − | 0.215678i | −0.0515978 | − | 0.0189894i | ||||
\(130\) | −19.9157 | − | 26.7514i | −1.74672 | − | 2.34625i | ||||
\(131\) | 15.1704 | + | 9.97776i | 1.32545 | + | 0.871761i | 0.997341 | − | 0.0728798i | \(-0.0232190\pi\) |
0.328107 | + | 0.944641i | \(0.393589\pi\) | |||||||
\(132\) | 13.8715 | + | 18.7725i | 1.20736 | + | 1.63393i | ||||
\(133\) | 0.795225 | − | 2.65624i | 0.0689548 | − | 0.230325i | ||||
\(134\) | 12.7085 | − | 22.0118i | 1.09785 | − | 1.90153i | ||||
\(135\) | −12.2418 | − | 8.24114i | −1.05360 | − | 0.709284i | ||||
\(136\) | 9.12781 | + | 15.8098i | 0.782703 | + | 1.35568i | ||||
\(137\) | 4.78884 | − | 1.13498i | 0.409138 | − | 0.0969675i | −0.0208928 | − | 0.999782i | \(-0.506651\pi\) |
0.430031 | + | 0.902814i | \(0.358503\pi\) | |||||||
\(138\) | −2.24993 | + | 36.3865i | −0.191527 | + | 3.09743i | ||||
\(139\) | −7.59211 | + | 3.81290i | −0.643955 | + | 0.323406i | −0.740633 | − | 0.671909i | \(-0.765474\pi\) |
0.0966786 | + | 0.995316i | \(0.469178\pi\) | |||||||
\(140\) | −2.71894 | + | 6.30321i | −0.229792 | + | 0.532718i | ||||
\(141\) | 10.7524 | + | 9.08807i | 0.905513 | + | 0.765353i | ||||
\(142\) | −0.359698 | − | 6.17577i | −0.0301852 | − | 0.518259i | ||||
\(143\) | −2.47389 | − | 14.0301i | −0.206877 | − | 1.17326i | ||||
\(144\) | 17.5249 | − | 8.64485i | 1.46041 | − | 0.720405i | ||||
\(145\) | 0.783959 | − | 4.44605i | 0.0651042 | − | 0.369224i | ||||
\(146\) | −13.0063 | − | 1.52021i | −1.07641 | − | 0.125814i | ||||
\(147\) | 6.96032 | − | 9.27982i | 0.574077 | − | 0.765387i | ||||
\(148\) | −4.51555 | − | 15.0830i | −0.371176 | − | 1.23981i | ||||
\(149\) | −10.3084 | − | 2.44313i | −0.844496 | − | 0.200149i | −0.214477 | − | 0.976729i | \(-0.568805\pi\) |
−0.630019 | + | 0.776580i | \(0.716953\pi\) | |||||||
\(150\) | 3.89680 | − | 12.8487i | 0.318173 | − | 1.04909i | ||||
\(151\) | 5.16515 | + | 11.9742i | 0.420334 | + | 0.974443i | 0.988457 | + | 0.151500i | \(0.0484103\pi\) |
−0.568124 | + | 0.822943i | \(0.692330\pi\) | |||||||
\(152\) | −23.3605 | − | 19.6018i | −1.89479 | − | 1.58992i | ||||
\(153\) | −3.52524 | − | 8.33595i | −0.284999 | − | 0.673922i | ||||
\(154\) | −3.26898 | + | 2.74300i | −0.263422 | + | 0.221038i | ||||
\(155\) | −12.5171 | − | 6.28634i | −1.00540 | − | 0.504931i | ||||
\(156\) | −35.3394 | − | 0.126445i | −2.82942 | − | 0.0101237i | ||||
\(157\) | 21.9982 | − | 2.57122i | 1.75565 | − | 0.205206i | 0.823509 | − | 0.567304i | \(-0.192013\pi\) |
0.932140 | + | 0.362098i | \(0.117939\pi\) | |||||||
\(158\) | 0.330774 | − | 5.67916i | 0.0263149 | − | 0.451810i | ||||
\(159\) | −1.16390 | − | 0.280251i | −0.0923032 | − | 0.0222254i | ||||
\(160\) | 8.51211 | + | 9.02231i | 0.672941 | + | 0.713276i | ||||
\(161\) | −4.57997 | −0.360952 | ||||||||
\(162\) | −21.4931 | + | 7.47627i | −1.68866 | + | 0.587391i | ||||
\(163\) | −17.2006 | −1.34725 | −0.673626 | − | 0.739072i | \(-0.735264\pi\) | ||||
−0.673626 | + | 0.739072i | \(0.735264\pi\) | |||||||
\(164\) | 3.44642 | + | 3.65299i | 0.269120 | + | 0.285251i | ||||
\(165\) | 10.3942 | − | 10.9385i | 0.809187 | − | 0.851564i | ||||
\(166\) | −0.447811 | + | 7.68862i | −0.0347569 | + | 0.596753i | ||||
\(167\) | 11.6942 | − | 1.36686i | 0.904927 | − | 0.105771i | 0.349116 | − | 0.937080i | \(-0.386482\pi\) |
0.555811 | + | 0.831309i | \(0.312408\pi\) | |||||||
\(168\) | 2.86534 | + | 5.00417i | 0.221065 | + | 0.386080i | ||||
\(169\) | 7.65815 | + | 3.84607i | 0.589089 | + | 0.295852i | ||||
\(170\) | 16.5958 | − | 13.9255i | 1.27284 | − | 1.06804i | ||||
\(171\) | 10.2961 | + | 11.0709i | 0.787365 | + | 0.846614i | ||||
\(172\) | −1.21334 | − | 1.01811i | −0.0925161 | − | 0.0776302i | ||||
\(173\) | 4.73758 | + | 10.9829i | 0.360191 | + | 0.835018i | 0.997902 | + | 0.0647415i | \(0.0206223\pi\) |
−0.637711 | + | 0.770276i | \(0.720118\pi\) | |||||||
\(174\) | −4.75929 | − | 5.08085i | −0.360801 | − | 0.385178i | ||||
\(175\) | 1.64132 | + | 0.389000i | 0.124072 | + | 0.0294057i | ||||
\(176\) | 5.73060 | + | 19.1415i | 0.431960 | + | 1.44285i | ||||
\(177\) | −1.01762 | − | 0.122636i | −0.0764894 | − | 0.00921786i | ||||
\(178\) | 29.0058 | + | 3.39029i | 2.17408 | + | 0.254113i | ||||
\(179\) | 0.609280 | − | 3.45540i | 0.0455397 | − | 0.258268i | −0.953535 | − | 0.301283i | \(-0.902585\pi\) |
0.999074 | + | 0.0430146i | \(0.0136962\pi\) | |||||||
\(180\) | −22.1365 | − | 30.1830i | −1.64996 | − | 2.24971i | ||||
\(181\) | 3.84769 | + | 21.8214i | 0.285997 | + | 1.62197i | 0.701703 | + | 0.712470i | \(0.252423\pi\) |
−0.415706 | + | 0.909499i | \(0.636466\pi\) | |||||||
\(182\) | −0.375668 | − | 6.44997i | −0.0278464 | − | 0.478104i | ||||
\(183\) | 5.67522 | − | 2.04264i | 0.419524 | − | 0.150997i | ||||
\(184\) | −19.9511 | + | 46.2519i | −1.47082 | + | 3.40974i | ||||
\(185\) | −9.09559 | + | 4.56798i | −0.668721 | + | 0.335844i | ||||
\(186\) | −19.3364 | + | 9.62464i | −1.41782 | + | 0.705713i | ||||
\(187\) | 9.00497 | − | 2.13422i | 0.658508 | − | 0.156069i | ||||
\(188\) | 17.8545 | + | 30.9249i | 1.30217 | + | 2.25543i | ||||
\(189\) | −1.10410 | − | 2.63706i | −0.0803114 | − | 0.191818i | ||||
\(190\) | −18.0945 | + | 31.3406i | −1.31271 | + | 2.27369i | ||||
\(191\) | 0.750463 | − | 2.50672i | 0.0543016 | − | 0.181380i | −0.926536 | − | 0.376205i | \(-0.877229\pi\) |
0.980838 | + | 0.194825i | \(0.0624140\pi\) | |||||||
\(192\) | −3.41496 | + | 0.386771i | −0.246453 | + | 0.0279128i | ||||
\(193\) | −10.2963 | − | 6.77198i | −0.741144 | − | 0.487458i | 0.121928 | − | 0.992539i | \(-0.461092\pi\) |
−0.863072 | + | 0.505081i | \(0.831463\pi\) | |||||||
\(194\) | −6.34671 | − | 8.52511i | −0.455667 | − | 0.612067i | ||||
\(195\) | 3.88661 | + | 22.5128i | 0.278326 | + | 1.61218i | ||||
\(196\) | 24.5821 | − | 16.1679i | 1.75586 | − | 1.15485i | ||||
\(197\) | −25.6304 | − | 9.32871i | −1.82609 | − | 0.664643i | −0.993917 | − | 0.110129i | \(-0.964874\pi\) |
−0.832174 | − | 0.554514i | \(-0.812904\pi\) | |||||||
\(198\) | −3.87644 | − | 22.9433i | −0.275487 | − | 1.63051i | ||||
\(199\) | −0.718928 | + | 0.261668i | −0.0509634 | + | 0.0185492i | −0.367376 | − | 0.930072i | \(-0.619744\pi\) |
0.316413 | + | 0.948622i | \(0.397522\pi\) | |||||||
\(200\) | 11.0783 | − | 14.8807i | 0.783354 | − | 1.05223i | ||||
\(201\) | −14.5809 | + | 9.51545i | −1.02846 | + | 0.671168i | ||||
\(202\) | −6.68133 | + | 7.08180i | −0.470097 | + | 0.498274i | ||||
\(203\) | 0.600189 | − | 0.636163i | 0.0421250 | − | 0.0446499i | ||||
\(204\) | −1.25278 | − | 22.9221i | −0.0877124 | − | 1.60487i | ||||
\(205\) | 1.93877 | − | 2.60422i | 0.135409 | − | 0.181886i | ||||
\(206\) | 4.29571 | − | 1.56351i | 0.299296 | − | 0.108935i | ||||
\(207\) | 12.6410 | − | 21.5374i | 0.878607 | − | 1.49695i | ||||
\(208\) | −28.4273 | − | 10.3467i | −1.97108 | − | 0.717415i | ||||
\(209\) | −12.9158 | + | 8.49486i | −0.893405 | + | 0.587601i | ||||
\(210\) | 5.25787 | − | 4.37991i | 0.362827 | − | 0.302243i | ||||
\(211\) | 11.1918 | + | 15.0332i | 0.770477 | + | 1.03493i | 0.998126 | + | 0.0611865i | \(0.0194884\pi\) |
−0.227650 | + | 0.973743i | \(0.573104\pi\) | |||||||
\(212\) | −2.53695 | − | 1.66858i | −0.174239 | − | 0.114599i | ||||
\(213\) | −1.69237 | + | 3.88508i | −0.115959 | + | 0.266201i | ||||
\(214\) | 8.99581 | − | 30.0481i | 0.614941 | − | 2.05404i | ||||
\(215\) | −0.511968 | + | 0.886754i | −0.0349159 | + | 0.0604761i | ||||
\(216\) | −31.4407 | − | 0.337497i | −2.13927 | − | 0.0229637i | ||||
\(217\) | −1.35676 | − | 2.34998i | −0.0921030 | − | 0.159527i | ||||
\(218\) | −23.8653 | + | 5.65618i | −1.61636 | + | 0.383085i | ||||
\(219\) | 7.47678 | + | 4.95597i | 0.505234 | + | 0.334894i | ||||
\(220\) | 34.2019 | − | 17.1769i | 2.30589 | − | 1.15806i | ||||
\(221\) | −5.54966 | + | 12.8656i | −0.373310 | + | 0.865431i | ||||
\(222\) | −2.78073 | + | 15.4469i | −0.186630 | + | 1.03673i | ||||
\(223\) | 0.160702 | + | 2.75914i | 0.0107614 | + | 0.184766i | 0.999405 | + | 0.0344877i | \(0.0109799\pi\) |
−0.988644 | + | 0.150278i | \(0.951983\pi\) | |||||||
\(224\) | 0.417271 | + | 2.36646i | 0.0278801 | + | 0.158116i | ||||
\(225\) | −6.35941 | + | 6.64468i | −0.423961 | + | 0.442978i | ||||
\(226\) | 6.46455 | − | 36.6623i | 0.430015 | − | 2.43874i | ||||
\(227\) | 6.64796 | + | 0.777035i | 0.441240 | + | 0.0515736i | 0.333813 | − | 0.942639i | \(-0.391665\pi\) |
0.107427 | + | 0.994213i | \(0.465739\pi\) | |||||||
\(228\) | 15.0625 | + | 35.2651i | 0.997537 | + | 2.33549i | ||||
\(229\) | 3.76599 | + | 12.5793i | 0.248863 | + | 0.831262i | 0.987563 | + | 0.157226i | \(0.0502553\pi\) |
−0.738699 | + | 0.674035i | \(0.764560\pi\) | |||||||
\(230\) | 58.1656 | + | 13.7855i | 3.83532 | + | 0.908989i | ||||
\(231\) | 2.84681 | − | 0.663958i | 0.187307 | − | 0.0436852i | ||||
\(232\) | −3.80992 | − | 8.83239i | −0.250134 | − | 0.579875i | ||||
\(233\) | 10.3133 | + | 8.65393i | 0.675650 | + | 0.566938i | 0.914732 | − | 0.404062i | \(-0.132402\pi\) |
−0.239082 | + | 0.970999i | \(0.576846\pi\) | |||||||
\(234\) | 31.3679 | + | 16.0357i | 2.05059 | + | 1.04829i | ||||
\(235\) | 17.6838 | − | 14.8385i | 1.15357 | − | 0.967957i | ||||
\(236\) | −2.32325 | − | 1.16678i | −0.151231 | − | 0.0759510i | ||||
\(237\) | −1.96052 | + | 3.36784i | −0.127350 | + | 0.218765i | ||||
\(238\) | 4.16856 | − | 0.487235i | 0.270208 | − | 0.0315828i | ||||
\(239\) | 0.868872 | − | 14.9180i | 0.0562027 | − | 0.964963i | −0.845873 | − | 0.533385i | \(-0.820920\pi\) |
0.902076 | − | 0.431578i | \(-0.142043\pi\) | |||||||
\(240\) | −9.07973 | − | 30.7281i | −0.586094 | − | 1.98349i | ||||
\(241\) | −13.2063 | − | 13.9979i | −0.850693 | − | 0.901682i | 0.145455 | − | 0.989365i | \(-0.453535\pi\) |
−0.996148 | + | 0.0876827i | \(0.972054\pi\) | |||||||
\(242\) | −4.02106 | −0.258484 | ||||||||
\(243\) | 15.4482 | + | 2.08640i | 0.991003 | + | 0.133842i | ||||
\(244\) | 15.2987 | 0.979396 | ||||||||
\(245\) | −13.0527 | − | 13.8351i | −0.833907 | − | 0.883890i | ||||
\(246\) | −1.41870 | − | 4.80124i | −0.0904529 | − | 0.306116i | ||||
\(247\) | 1.36090 | − | 23.3658i | 0.0865921 | − | 1.48673i | ||||
\(248\) | −29.6421 | + | 3.46467i | −1.88228 | + | 0.220007i | ||||
\(249\) | 2.65421 | − | 4.55948i | 0.168204 | − | 0.288945i | ||||
\(250\) | 12.4119 | + | 6.23347i | 0.784995 | + | 0.394239i | ||||
\(251\) | 12.4058 | − | 10.4097i | 0.783047 | − | 0.657054i | −0.160967 | − | 0.986960i | \(-0.551461\pi\) |
0.944014 | + | 0.329905i | \(0.107017\pi\) | |||||||
\(252\) | −0.369811 | − | 7.24182i | −0.0232959 | − | 0.456192i | ||||
\(253\) | 19.5610 | + | 16.4136i | 1.22979 | + | 1.03192i | ||||
\(254\) | 16.1477 | + | 37.4346i | 1.01320 | + | 2.34886i | ||||
\(255\) | −14.4526 | + | 3.37075i | −0.905055 | + | 0.211085i | ||||
\(256\) | −29.9732 | − | 7.10377i | −1.87332 | − | 0.443985i | ||||
\(257\) | 6.33901 | + | 21.1738i | 0.395416 | + | 1.32078i | 0.891702 | + | 0.452624i | \(0.149512\pi\) |
−0.496285 | + | 0.868160i | \(0.665303\pi\) | |||||||
\(258\) | 0.620197 | + | 1.45204i | 0.0386118 | + | 0.0904002i | ||||
\(259\) | −1.95845 | − | 0.228910i | −0.121692 | − | 0.0142238i | ||||
\(260\) | −10.0623 | + | 57.0660i | −0.624036 | + | 3.53908i | ||||
\(261\) | 1.33501 | + | 4.57824i | 0.0826352 | + | 0.283386i | ||||
\(262\) | −7.97236 | − | 45.2135i | −0.492534 | − | 2.79330i | ||||
\(263\) | −0.924643 | − | 15.8755i | −0.0570159 | − | 0.978926i | −0.898591 | − | 0.438786i | \(-0.855408\pi\) |
0.841575 | − | 0.540140i | \(-0.181629\pi\) | |||||||
\(264\) | 5.69607 | − | 31.6416i | 0.350569 | − | 1.94740i | ||||
\(265\) | −0.777499 | + | 1.80245i | −0.0477614 | + | 0.110723i | ||||
\(266\) | −6.26504 | + | 3.14642i | −0.384134 | + | 0.192919i | ||||
\(267\) | −16.6743 | − | 11.0525i | −1.02045 | − | 0.676404i | ||||
\(268\) | −42.9713 | + | 10.1844i | −2.62489 | + | 0.622110i | ||||
\(269\) | −9.83880 | − | 17.0413i | −0.599882 | − | 1.03903i | −0.992838 | − | 0.119469i | \(-0.961881\pi\) |
0.392956 | − | 0.919557i | \(-0.371453\pi\) | |||||||
\(270\) | 6.08461 | + | 36.8140i | 0.370297 | + | 2.24043i | ||||
\(271\) | 4.61312 | − | 7.99016i | 0.280227 | − | 0.485367i | −0.691214 | − | 0.722651i | \(-0.742924\pi\) |
0.971441 | + | 0.237283i | \(0.0762569\pi\) | |||||||
\(272\) | 5.63604 | − | 18.8257i | 0.341735 | − | 1.14147i | ||||
\(273\) | −1.76751 | + | 4.05757i | −0.106975 | + | 0.245576i | ||||
\(274\) | −10.3967 | − | 6.83802i | −0.628088 | − | 0.413100i | ||||
\(275\) | −5.61598 | − | 7.54357i | −0.338656 | − | 0.454894i | ||||
\(276\) | 48.6680 | − | 40.5414i | 2.92947 | − | 2.44031i | ||||
\(277\) | −25.1143 | + | 16.5179i | −1.50897 | + | 0.992467i | −0.518452 | + | 0.855107i | \(0.673491\pi\) |
−0.990521 | + | 0.137360i | \(0.956138\pi\) | |||||||
\(278\) | 20.1859 | + | 7.34707i | 1.21067 | + | 0.440648i | ||||
\(279\) | 14.7956 | + | 0.105879i | 0.885787 | + | 0.00633879i | ||||
\(280\) | 8.88501 | − | 3.23388i | 0.530981 | − | 0.193261i | ||||
\(281\) | 5.13623 | − | 6.89916i | 0.306402 | − | 0.411569i | −0.622076 | − | 0.782957i | \(-0.713710\pi\) |
0.928478 | + | 0.371388i | \(0.121118\pi\) | |||||||
\(282\) | −1.94264 | − | 35.5443i | −0.115682 | − | 2.11663i | ||||
\(283\) | 19.7757 | − | 20.9611i | 1.17555 | − | 1.24601i | 0.212353 | − | 0.977193i | \(-0.431887\pi\) |
0.963193 | − | 0.268813i | \(-0.0866312\pi\) | |||||||
\(284\) | −7.37606 | + | 7.81817i | −0.437689 | + | 0.463923i | ||||
\(285\) | 20.7605 | − | 13.5482i | 1.22974 | − | 0.802526i | ||||
\(286\) | −21.5109 | + | 28.8941i | −1.27196 | + | 1.70854i | ||||
\(287\) | 0.591030 | − | 0.215117i | 0.0348874 | − | 0.0126980i | ||||
\(288\) | −12.2800 | − | 4.56934i | −0.723607 | − | 0.269251i | ||||
\(289\) | 7.42196 | + | 2.70137i | 0.436586 | + | 0.158904i | ||||
\(290\) | −9.53722 | + | 6.27273i | −0.560045 | + | 0.368347i | ||||
\(291\) | 1.23858 | + | 7.17437i | 0.0726070 | + | 0.420569i | ||||
\(292\) | 13.5866 | + | 18.2499i | 0.795093 | + | 1.06800i | ||||
\(293\) | −7.63086 | − | 5.01889i | −0.445799 | − | 0.293207i | 0.306692 | − | 0.951809i | \(-0.400778\pi\) |
−0.752492 | + | 0.658602i | \(0.771148\pi\) | |||||||
\(294\) | −29.1441 | + | 3.30080i | −1.69972 | + | 0.192507i | ||||
\(295\) | −0.482022 | + | 1.61006i | −0.0280644 | + | 0.0937416i | ||||
\(296\) | −10.8431 | + | 18.7808i | −0.630241 | + | 1.09161i | ||||
\(297\) | −4.73508 | + | 15.2197i | −0.274757 | + | 0.883139i | ||||
\(298\) | 13.3933 | + | 23.1978i | 0.775852 | + | 1.34381i | ||||
\(299\) | −37.6188 | + | 8.91582i | −2.17555 | + | 0.515615i | ||||
\(300\) | −20.8845 | + | 10.3952i | −1.20577 | + | 0.600167i | ||||
\(301\) | −0.177264 | + | 0.0890251i | −0.0102173 | + | 0.00513132i | ||||
\(302\) | 13.0599 | − | 30.2764i | 0.751515 | − | 1.74221i | ||||
\(303\) | 6.27533 | − | 2.25864i | 0.360508 | − | 0.129755i | ||||
\(304\) | 1.90868 | + | 32.7708i | 0.109470 | + | 1.87953i | ||||
\(305\) | −1.71739 | − | 9.73979i | −0.0983373 | − | 0.557699i | ||||
\(306\) | −9.21422 | + | 20.9475i | −0.526742 | + | 1.19749i | ||||
\(307\) | −5.83738 | + | 33.1054i | −0.333157 | + | 1.88943i | 0.111564 | + | 0.993757i | \(0.464414\pi\) |
−0.444721 | + | 0.895669i | \(0.646697\pi\) | |||||||
\(308\) | 7.36433 | + | 0.860767i | 0.419622 | + | 0.0490467i | ||||
\(309\) | −3.10899 | − | 0.374670i | −0.176864 | − | 0.0213142i | ||||
\(310\) | 10.1575 | + | 33.9285i | 0.576909 | + | 1.92701i | ||||
\(311\) | −20.0684 | − | 4.75629i | −1.13797 | − | 0.269704i | −0.381907 | − | 0.924201i | \(-0.624732\pi\) |
−0.756065 | + | 0.654497i | \(0.772881\pi\) | |||||||
\(312\) | 33.2768 | + | 35.5252i | 1.88393 | + | 2.01122i | ||||
\(313\) | −13.3936 | − | 31.0498i | −0.757049 | − | 1.75504i | −0.648863 | − | 0.760905i | \(-0.724755\pi\) |
−0.108186 | − | 0.994131i | \(-0.534504\pi\) | |||||||
\(314\) | −42.8989 | − | 35.9965i | −2.42093 | − | 2.03140i | ||||
\(315\) | −4.56895 | + | 1.04839i | −0.257431 | + | 0.0590699i | ||||
\(316\) | −7.57172 | + | 6.35343i | −0.425943 | + | 0.357408i | ||||
\(317\) | 7.51681 | + | 3.77508i | 0.422186 | + | 0.212030i | 0.647191 | − | 0.762328i | \(-0.275944\pi\) |
−0.225005 | + | 0.974358i | \(0.572240\pi\) | |||||||
\(318\) | 1.50411 | + | 2.62686i | 0.0843463 | + | 0.147307i | ||||
\(319\) | −4.84328 | + | 0.566098i | −0.271172 | + | 0.0316954i | ||||
\(320\) | −0.327663 | + | 5.62576i | −0.0183169 | + | 0.314490i | ||||
\(321\) | −14.8005 | + | 15.5756i | −0.826083 | + | 0.869344i | ||||
\(322\) | 7.94691 | + | 8.42323i | 0.442864 | + | 0.469408i | ||||
\(323\) | 15.2039 | 0.845968 | ||||||||
\(324\) | 35.0755 | + | 18.2488i | 1.94864 | + | 1.01382i | ||||
\(325\) | 14.2387 | 0.789820 | ||||||||
\(326\) | 29.8455 | + | 31.6344i | 1.65299 | + | 1.75207i | ||||
\(327\) | 16.3342 | + | 3.93305i | 0.903283 | + | 0.217498i | ||||
\(328\) | 0.402214 | − | 6.90575i | 0.0222086 | − | 0.381306i | ||||
\(329\) | 4.44185 | − | 0.519178i | 0.244887 | − | 0.0286232i | ||||
\(330\) | −38.1530 | − | 0.136512i | −2.10025 | − | 0.00751473i | ||||
\(331\) | 5.81429 | + | 2.92004i | 0.319582 | + | 0.160500i | 0.601357 | − | 0.798980i | \(-0.294627\pi\) |
−0.281775 | + | 0.959480i | \(0.590923\pi\) | |||||||
\(332\) | 10.2508 | − | 8.60146i | 0.562587 | − | 0.472066i | ||||
\(333\) | 6.48189 | − | 8.57786i | 0.355206 | − | 0.470064i | ||||
\(334\) | −22.8050 | − | 19.1357i | −1.24784 | − | 1.04706i | ||||
\(335\) | 11.3077 | + | 26.2141i | 0.617804 | + | 1.43223i | ||||
\(336\) | 1.80153 | − | 5.94010i | 0.0982817 | − | 0.324059i | ||||
\(337\) | 3.33165 | + | 0.789615i | 0.181486 | + | 0.0430131i | 0.320354 | − | 0.947298i | \(-0.396198\pi\) |
−0.138868 | + | 0.990311i | \(0.544346\pi\) | |||||||
\(338\) | −6.21452 | − | 20.7580i | −0.338026 | − | 1.12908i | ||||
\(339\) | −15.3017 | + | 20.4009i | −0.831073 | + | 1.10803i | ||||
\(340\) | −37.3869 | − | 4.36990i | −2.02759 | − | 0.236991i | ||||
\(341\) | −2.62711 | + | 14.8991i | −0.142266 | + | 0.806832i | ||||
\(342\) | 2.49575 | − | 38.1457i | 0.134955 | − | 2.06268i | ||||
\(343\) | −1.30863 | − | 7.42162i | −0.0706595 | − | 0.400730i | ||||
\(344\) | 0.126851 | + | 2.17795i | 0.00683935 | + | 0.117427i | ||||
\(345\) | −31.2738 | − | 26.4331i | −1.68372 | − | 1.42311i | ||||
\(346\) | 11.9788 | − | 27.7701i | 0.643987 | − | 1.49293i | ||||
\(347\) | 22.6477 | − | 11.3741i | 1.21579 | − | 0.610594i | 0.278937 | − | 0.960309i | \(-0.410018\pi\) |
0.936856 | + | 0.349715i | \(0.113722\pi\) | |||||||
\(348\) | −0.746516 | + | 12.0729i | −0.0400175 | + | 0.647173i | ||||
\(349\) | 10.2053 | − | 2.41871i | 0.546278 | − | 0.129470i | 0.0517955 | − | 0.998658i | \(-0.483506\pi\) |
0.494483 | + | 0.869187i | \(0.335357\pi\) | |||||||
\(350\) | −2.13250 | − | 3.69360i | −0.113987 | − | 0.197431i | ||||
\(351\) | −14.2024 | − | 19.5109i | −0.758067 | − | 1.04141i | ||||
\(352\) | 6.69874 | − | 11.6026i | 0.357044 | − | 0.618419i | ||||
\(353\) | 3.26747 | − | 10.9141i | 0.173910 | − | 0.580900i | −0.825943 | − | 0.563754i | \(-0.809357\pi\) |
0.999853 | − | 0.0171464i | \(-0.00545813\pi\) | |||||||
\(354\) | 1.54018 | + | 2.08435i | 0.0818597 | + | 0.110782i | ||||
\(355\) | 5.80541 | + | 3.81828i | 0.308119 | + | 0.202653i | ||||
\(356\) | −30.3000 | − | 40.6999i | −1.60589 | − | 2.15709i | ||||
\(357\) | −2.69806 | − | 0.992961i | −0.142797 | − | 0.0525531i | ||||
\(358\) | −7.41217 | + | 4.87506i | −0.391745 | + | 0.257655i | ||||
\(359\) | −15.7087 | − | 5.71751i | −0.829075 | − | 0.301759i | −0.107596 | − | 0.994195i | \(-0.534315\pi\) |
−0.721479 | + | 0.692436i | \(0.756537\pi\) | |||||||
\(360\) | −9.31574 | + | 50.7076i | −0.490982 | + | 2.67252i | ||||
\(361\) | −6.01147 | + | 2.18800i | −0.316393 | + | 0.115158i | ||||
\(362\) | 33.4564 | − | 44.9397i | 1.75843 | − | 2.36198i | ||||
\(363\) | 2.45707 | + | 1.24502i | 0.128963 | + | 0.0653464i | ||||
\(364\) | −7.70355 | + | 8.16529i | −0.403776 | + | 0.427977i | ||||
\(365\) | 10.0935 | − | 10.6985i | 0.528318 | − | 0.559984i | ||||
\(366\) | −13.6040 | − | 6.89327i | −0.711095 | − | 0.360317i | ||||
\(367\) | −13.1514 | + | 17.6654i | −0.686497 | + | 0.922125i | −0.999619 | − | 0.0275875i | \(-0.991218\pi\) |
0.313123 | + | 0.949713i | \(0.398625\pi\) | |||||||
\(368\) | 50.9523 | − | 18.5451i | 2.65607 | − | 0.966732i | ||||
\(369\) | −0.619682 | + | 3.37306i | −0.0322594 | + | 0.175595i | ||||
\(370\) | 24.1833 | + | 8.80202i | 1.25723 | + | 0.457595i | ||||
\(371\) | −0.317721 | + | 0.208968i | −0.0164952 | + | 0.0108491i | ||||
\(372\) | 35.2191 | + | 12.9616i | 1.82603 | + | 0.672028i | ||||
\(373\) | −18.1613 | − | 24.3948i | −0.940355 | − | 1.26312i | −0.964683 | − | 0.263412i | \(-0.915152\pi\) |
0.0243282 | − | 0.999704i | \(-0.492255\pi\) | |||||||
\(374\) | −19.5501 | − | 12.8583i | −1.01091 | − | 0.664886i | ||||
\(375\) | −5.65424 | − | 7.65197i | −0.291984 | − | 0.395146i | ||||
\(376\) | 14.1064 | − | 47.1188i | 0.727484 | − | 2.42996i | ||||
\(377\) | 3.69139 | − | 6.39368i | 0.190116 | − | 0.329291i | ||||
\(378\) | −2.93417 | + | 6.60629i | −0.150918 | + | 0.339791i | ||||
\(379\) | 6.15029 | + | 10.6526i | 0.315919 | + | 0.547189i | 0.979633 | − | 0.200799i | \(-0.0643537\pi\) |
−0.663713 | + | 0.747987i | \(0.731020\pi\) | |||||||
\(380\) | 61.1830 | − | 14.5006i | 3.13862 | − | 0.743867i | ||||
\(381\) | 1.72358 | − | 27.8742i | 0.0883016 | − | 1.42804i | ||||
\(382\) | −5.91239 | + | 2.96931i | −0.302504 | + | 0.151923i | ||||
\(383\) | 2.87800 | − | 6.67196i | 0.147059 | − | 0.340921i | −0.828725 | − | 0.559655i | \(-0.810933\pi\) |
0.975785 | + | 0.218734i | \(0.0701927\pi\) | |||||||
\(384\) | 18.1918 | + | 15.3760i | 0.928347 | + | 0.784653i | ||||
\(385\) | −0.278699 | − | 4.78508i | −0.0142038 | − | 0.243870i | ||||
\(386\) | 5.41091 | + | 30.6868i | 0.275408 | + | 1.56192i | ||||
\(387\) | 0.0706150 | − | 1.07930i | 0.00358956 | − | 0.0548638i | ||||
\(388\) | −3.20664 | + | 18.1858i | −0.162792 | + | 0.923242i | ||||
\(389\) | −19.0599 | − | 2.22778i | −0.966375 | − | 0.112953i | −0.381758 | − | 0.924262i | \(-0.624681\pi\) |
−0.584617 | + | 0.811309i | \(0.698755\pi\) | |||||||
\(390\) | 34.6605 | − | 46.2110i | 1.75510 | − | 2.33999i | ||||
\(391\) | −7.20271 | − | 24.0587i | −0.364257 | − | 1.21670i | ||||
\(392\) | −39.4337 | − | 9.34595i | −1.99170 | − | 0.472042i | ||||
\(393\) | −9.12766 | + | 30.0962i | −0.460430 | + | 1.51815i | ||||
\(394\) | 27.3156 | + | 63.3247i | 1.37614 | + | 3.19025i | ||||
\(395\) | 4.89485 | + | 4.10727i | 0.246287 | + | 0.206659i | ||||
\(396\) | −24.3737 | + | 32.2551i | −1.22483 | + | 1.62088i | ||||
\(397\) | −20.5339 | + | 17.2300i | −1.03057 | + | 0.864749i | −0.990918 | − | 0.134465i | \(-0.957069\pi\) |
−0.0396493 | + | 0.999214i | \(0.512624\pi\) | |||||||
\(398\) | 1.72869 | + | 0.868181i | 0.0866514 | + | 0.0435180i | ||||
\(399\) | 4.80246 | + | 0.0171833i | 0.240424 | + | 0.000860239i | ||||
\(400\) | −19.8349 | + | 2.31837i | −0.991745 | + | 0.115918i | ||||
\(401\) | −1.20883 | + | 20.7548i | −0.0603660 | + | 1.03644i | 0.823085 | + | 0.567919i | \(0.192251\pi\) |
−0.883450 | + | 0.468525i | \(0.844786\pi\) | |||||||
\(402\) | 42.8003 | + | 10.3057i | 2.13468 | + | 0.514003i | ||||
\(403\) | −15.7188 | − | 16.6610i | −0.783010 | − | 0.829943i | ||||
\(404\) | 16.9164 | 0.841620 | ||||||||
\(405\) | 7.68048 | − | 24.3791i | 0.381646 | − | 1.21141i | ||||
\(406\) | −2.21141 | −0.109751 | ||||||||
\(407\) | 7.54418 | + | 7.99637i | 0.373951 | + | 0.396365i | ||||
\(408\) | −21.7809 | + | 22.9215i | −1.07831 | + | 1.13478i | ||||
\(409\) | 0.0979225 | − | 1.68126i | 0.00484195 | − | 0.0831331i | −0.995021 | − | 0.0996610i | \(-0.968224\pi\) |
0.999863 | + | 0.0165278i | \(0.00526121\pi\) | |||||||
\(410\) | −8.15357 | + | 0.953016i | −0.402676 | + | 0.0470661i | ||||
\(411\) | 4.23570 | + | 7.39745i | 0.208932 | + | 0.364889i | ||||
\(412\) | −7.09788 | − | 3.56469i | −0.349687 | − | 0.175620i | ||||
\(413\) | −0.249416 | + | 0.209285i | −0.0122730 | + | 0.0102982i | ||||
\(414\) | −61.5443 | + | 14.1219i | −3.02474 | + | 0.694053i | ||||
\(415\) | −6.62680 | − | 5.56054i | −0.325297 | − | 0.272956i | ||||
\(416\) | 8.03416 | + | 18.6253i | 0.393907 | + | 0.913179i | ||||
\(417\) | −10.0598 | − | 10.7395i | −0.492629 | − | 0.525914i | ||||
\(418\) | 38.0341 | + | 9.01424i | 1.86031 | + | 0.440901i | ||||
\(419\) | 2.18722 | + | 7.30584i | 0.106853 | + | 0.356914i | 0.994648 | − | 0.103326i | \(-0.0329486\pi\) |
−0.887795 | + | 0.460240i | \(0.847763\pi\) | |||||||
\(420\) | −11.8045 | − | 1.42258i | −0.575999 | − | 0.0694146i | ||||
\(421\) | 32.2670 | + | 3.77147i | 1.57260 | + | 0.183810i | 0.857228 | − | 0.514937i | \(-0.172185\pi\) |
0.715369 | + | 0.698747i | \(0.246259\pi\) | |||||||
\(422\) | 8.22886 | − | 46.6682i | 0.400575 | − | 2.27177i | ||||
\(423\) | −9.81831 | + | 22.3208i | −0.477383 | + | 1.08528i | ||||
\(424\) | 0.726270 | + | 4.11888i | 0.0352708 | + | 0.200031i | ||||
\(425\) | 0.537800 | + | 9.23367i | 0.0260871 | + | 0.447899i | ||||
\(426\) | 10.0817 | − | 3.62866i | 0.488462 | − | 0.175809i | ||||
\(427\) | 0.758873 | − | 1.75926i | 0.0367244 | − | 0.0851368i | ||||
\(428\) | −48.7008 | + | 24.4585i | −2.35404 | + | 1.18224i | ||||
\(429\) | 22.0905 | − | 10.9955i | 1.06654 | − | 0.530867i | ||||
\(430\) | 2.51921 | − | 0.597063i | 0.121487 | − | 0.0287929i | ||||
\(431\) | 4.62511 | + | 8.01093i | 0.222784 | + | 0.385873i | 0.955652 | − | 0.294497i | \(-0.0951523\pi\) |
−0.732868 | + | 0.680370i | \(0.761819\pi\) | |||||||
\(432\) | 22.9611 | + | 24.8667i | 1.10472 | + | 1.19640i | ||||
\(433\) | 3.78051 | − | 6.54803i | 0.181680 | − | 0.314678i | −0.760773 | − | 0.649018i | \(-0.775180\pi\) |
0.942453 | + | 0.334340i | \(0.108513\pi\) | |||||||
\(434\) | −1.96778 | + | 6.57284i | −0.0944564 | + | 0.315506i | ||||
\(435\) | 7.76991 | − | 0.880003i | 0.372539 | − | 0.0421929i | ||||
\(436\) | 35.6037 | + | 23.4169i | 1.70511 | + | 1.12147i | ||||
\(437\) | 25.0515 | + | 33.6500i | 1.19837 | + | 1.60970i | ||||
\(438\) | −3.85855 | − | 22.3502i | −0.184368 | − | 1.06794i | ||||
\(439\) | −18.0275 | + | 11.8569i | −0.860406 | + | 0.565898i | −0.901266 | − | 0.433267i | \(-0.857361\pi\) |
0.0408596 | + | 0.999165i | \(0.486990\pi\) | |||||||
\(440\) | −49.5374 | − | 18.0301i | −2.36160 | − | 0.859553i | ||||
\(441\) | 18.8305 | + | 7.00675i | 0.896692 | + | 0.333655i | ||||
\(442\) | 33.2911 | − | 12.1170i | 1.58350 | − | 0.576345i | ||||
\(443\) | −7.94435 | + | 10.6711i | −0.377447 | + | 0.507000i | −0.949736 | − | 0.313053i | \(-0.898648\pi\) |
0.572288 | + | 0.820052i | \(0.306056\pi\) | |||||||
\(444\) | 22.8374 | − | 14.9036i | 1.08381 | − | 0.707293i | ||||
\(445\) | −22.5099 | + | 23.8591i | −1.06707 | + | 1.13103i | ||||
\(446\) | 4.79563 | − | 5.08307i | 0.227080 | − | 0.240690i | ||||
\(447\) | −1.00137 | − | 18.3219i | −0.0473630 | − | 0.866597i | ||||
\(448\) | −0.651920 | + | 0.875681i | −0.0308003 | + | 0.0413720i | ||||
\(449\) | 17.4340 | − | 6.34547i | 0.822763 | − | 0.299461i | 0.103878 | − | 0.994590i | \(-0.466875\pi\) |
0.718885 | + | 0.695129i | \(0.244653\pi\) | |||||||
\(450\) | 23.2550 | + | 0.166416i | 1.09625 | + | 0.00784490i | ||||
\(451\) | −3.29522 | − | 1.19936i | −0.155166 | − | 0.0564758i | ||||
\(452\) | −54.0417 | + | 35.5438i | −2.54191 | + | 1.67184i | ||||
\(453\) | −17.3546 | + | 14.4567i | −0.815389 | + | 0.679236i | ||||
\(454\) | −10.1061 | − | 13.5748i | −0.474302 | − | 0.637098i | ||||
\(455\) | 6.06316 | + | 3.98780i | 0.284245 | + | 0.186951i | ||||
\(456\) | 21.0939 | − | 48.4240i | 0.987812 | − | 2.26766i | ||||
\(457\) | −9.57234 | + | 31.9739i | −0.447775 | + | 1.49567i | 0.374848 | + | 0.927086i | \(0.377695\pi\) |
−0.822623 | + | 0.568587i | \(0.807490\pi\) | |||||||
\(458\) | 16.6006 | − | 28.7531i | 0.775694 | − | 1.34354i | ||||
\(459\) | 12.1162 | − | 9.94705i | 0.565536 | − | 0.464289i | ||||
\(460\) | −51.9307 | − | 89.9466i | −2.42128 | − | 4.19378i | ||||
\(461\) | 24.3219 | − | 5.76441i | 1.13279 | − | 0.268475i | 0.378872 | − | 0.925449i | \(-0.376312\pi\) |
0.753914 | + | 0.656974i | \(0.228164\pi\) | |||||||
\(462\) | −6.16075 | − | 4.08364i | −0.286624 | − | 0.189988i | ||||
\(463\) | 9.91796 | − | 4.98099i | 0.460927 | − | 0.231486i | −0.203154 | − | 0.979147i | \(-0.565119\pi\) |
0.664081 | + | 0.747661i | \(0.268823\pi\) | |||||||
\(464\) | −4.10119 | + | 9.50762i | −0.190393 | + | 0.441380i | ||||
\(465\) | 4.29831 | − | 23.8771i | 0.199330 | − | 1.10727i | ||||
\(466\) | −1.97932 | − | 33.9836i | −0.0916901 | − | 1.57426i | ||||
\(467\) | 2.57679 | + | 14.6137i | 0.119240 | + | 0.676242i | 0.984563 | + | 0.175028i | \(0.0560017\pi\) |
−0.865324 | + | 0.501213i | \(0.832887\pi\) | |||||||
\(468\) | −17.1352 | − | 58.7627i | −0.792074 | − | 2.71631i | ||||
\(469\) | −0.960392 | + | 5.44665i | −0.0443468 | + | 0.251503i | ||||
\(470\) | −57.9742 | − | 6.77621i | −2.67415 | − | 0.312563i | ||||
\(471\) | 15.0681 | + | 35.2782i | 0.694299 | + | 1.62553i | ||||
\(472\) | 1.02702 | + | 3.43047i | 0.0472722 | + | 0.157900i | ||||
\(473\) | 1.07614 | + | 0.255050i | 0.0494809 | + | 0.0117272i | ||||
\(474\) | 9.59574 | − | 2.23800i | 0.440747 | − | 0.102795i | ||||
\(475\) | −6.11962 | − | 14.1869i | −0.280787 | − | 0.650938i | ||||
\(476\) | −5.58609 | − | 4.68728i | −0.256038 | − | 0.214841i | ||||
\(477\) | −0.105750 | − | 2.07085i | −0.00484196 | − | 0.0948177i | ||||
\(478\) | −28.9439 | + | 24.2868i | −1.32386 | + | 1.11085i | ||||
\(479\) | 24.0865 | + | 12.0967i | 1.10054 | + | 0.552711i | 0.903891 | − | 0.427763i | \(-0.140698\pi\) |
0.196648 | + | 0.980474i | \(0.436994\pi\) | |||||||
\(480\) | −10.8086 | + | 18.5674i | −0.493345 | + | 0.847481i | ||||
\(481\) | −16.5319 | + | 1.93230i | −0.753790 | + | 0.0881054i | ||||
\(482\) | −2.82927 | + | 48.5767i | −0.128870 | + | 2.21261i | ||||
\(483\) | −2.24793 | − | 7.60757i | −0.102284 | − | 0.346157i | ||||
\(484\) | 4.79445 | + | 5.08182i | 0.217929 | + | 0.230992i | ||||
\(485\) | 11.9378 | 0.542068 | ||||||||
\(486\) | −22.9677 | − | 32.0317i | −1.04184 | − | 1.45299i | ||||
\(487\) | −0.903717 | −0.0409513 | −0.0204757 | − | 0.999790i | \(-0.506518\pi\) | ||||
−0.0204757 | + | 0.999790i | \(0.506518\pi\) | |||||||
\(488\) | −14.4606 | − | 15.3273i | −0.654600 | − | 0.693835i | ||||
\(489\) | −8.44235 | − | 28.5711i | −0.381776 | − | 1.29203i | ||||
\(490\) | −2.79636 | + | 48.0117i | −0.126327 | + | 2.16895i | ||||
\(491\) | −11.5872 | + | 1.35435i | −0.522923 | + | 0.0611209i | −0.373460 | − | 0.927646i | \(-0.621829\pi\) |
−0.149463 | + | 0.988767i | \(0.547755\pi\) | |||||||
\(492\) | −4.37625 | + | 7.51764i | −0.197296 | + | 0.338921i | ||||
\(493\) | 4.28567 | + | 2.15235i | 0.193017 | + | 0.0969368i | ||||
\(494\) | −45.3344 | + | 38.0401i | −2.03969 | + | 1.71151i | ||||
\(495\) | 23.2711 | + | 11.8965i | 1.04596 | + | 0.534708i | ||||
\(496\) | 24.6095 | + | 20.6498i | 1.10500 | + | 0.927205i | ||||
\(497\) | 0.533167 | + | 1.23602i | 0.0239158 | + | 0.0554431i | ||||
\(498\) | −12.9910 | + | 3.02987i | −0.582141 | + | 0.135772i | ||||
\(499\) | 26.5110 | + | 6.28323i | 1.18680 | + | 0.281276i | 0.776168 | − | 0.630526i | \(-0.217161\pi\) |
0.410629 | + | 0.911802i | \(0.365309\pi\) | |||||||
\(500\) | −6.92122 | − | 23.1185i | −0.309526 | − | 1.03389i | ||||
\(501\) | 8.01016 | + | 18.7539i | 0.357868 | + | 0.837861i | ||||
\(502\) | −40.6708 | − | 4.75374i | −1.81523 | − | 0.212170i | ||||
\(503\) | 2.64245 | − | 14.9861i | 0.117821 | − | 0.668197i | −0.867493 | − | 0.497449i | \(-0.834270\pi\) |
0.985315 | − | 0.170749i | \(-0.0546186\pi\) | |||||||
\(504\) | −6.90584 | + | 7.21561i | −0.307611 | + | 0.321409i | ||||
\(505\) | −1.89899 | − | 10.7697i | −0.0845039 | − | 0.479245i | ||||
\(506\) | −3.75411 | − | 64.4556i | −0.166891 | − | 2.86540i | ||||
\(507\) | −2.62977 | + | 14.6083i | −0.116792 | + | 0.648778i | ||||
\(508\) | 28.0564 | − | 65.0421i | 1.24480 | − | 2.88578i | ||||
\(509\) | 4.76420 | − | 2.39267i | 0.211170 | − | 0.106053i | −0.340071 | − | 0.940400i | \(-0.610451\pi\) |
0.551240 | + | 0.834347i | \(0.314155\pi\) | |||||||
\(510\) | 31.2766 | + | 20.7316i | 1.38495 | + | 0.918012i | ||||
\(511\) | 2.77259 | − | 0.657116i | 0.122652 | − | 0.0290691i | ||||
\(512\) | 25.1908 | + | 43.6317i | 1.11328 | + | 1.92827i | ||||
\(513\) | −13.3359 | + | 22.5362i | −0.588792 | + | 0.994999i | ||||
\(514\) | 27.9425 | − | 48.3979i | 1.23249 | − | 2.13474i | ||||
\(515\) | −1.47265 | + | 4.91898i | −0.0648926 | + | 0.216756i | ||||
\(516\) | 1.09561 | − | 2.51512i | 0.0482315 | − | 0.110722i | ||||
\(517\) | −20.8318 | − | 13.7013i | −0.916180 | − | 0.602581i | ||||
\(518\) | 2.97720 | + | 3.99908i | 0.130811 | + | 0.175709i | ||||
\(519\) | −15.9180 | + | 13.2600i | −0.698721 | + | 0.582049i | ||||
\(520\) | 66.6840 | − | 43.8588i | 2.92429 | − | 1.92333i | ||||
\(521\) | 28.8252 | + | 10.4915i | 1.26286 | + | 0.459642i | 0.884727 | − | 0.466110i | \(-0.154345\pi\) |
0.378130 | + | 0.925752i | \(0.376567\pi\) | |||||||
\(522\) | 6.10362 | − | 10.3992i | 0.267148 | − | 0.455161i | ||||
\(523\) | −10.5116 | + | 3.82592i | −0.459641 | + | 0.167296i | −0.561454 | − | 0.827508i | \(-0.689758\pi\) |
0.101813 | + | 0.994804i | \(0.467536\pi\) | |||||||
\(524\) | −47.6351 | + | 63.9851i | −2.08095 | + | 2.79520i | ||||
\(525\) | 0.159439 | + | 2.91725i | 0.00695850 | + | 0.127319i | ||||
\(526\) | −27.5930 | + | 29.2469i | −1.20311 | + | 1.27522i | ||||
\(527\) | 10.2108 | − | 10.8228i | 0.444789 | − | 0.471449i | ||||
\(528\) | −28.9824 | + | 18.9138i | −1.26130 | + | 0.823119i | ||||
\(529\) | 27.6453 | − | 37.1341i | 1.20197 | − | 1.61452i | ||||
\(530\) | 4.66404 | − | 1.69757i | 0.202593 | − | 0.0737377i | ||||
\(531\) | −0.295764 | − | 1.75052i | −0.0128351 | − | 0.0759661i | ||||
\(532\) | 11.4465 | + | 4.16617i | 0.496267 | + | 0.180627i | ||||
\(533\) | 4.43581 | − | 2.91748i | 0.192136 | − | 0.126370i | ||||
\(534\) | 8.60511 | + | 49.8442i | 0.372379 | + | 2.15697i | ||||
\(535\) | 21.0383 | + | 28.2594i | 0.909567 | + | 1.22176i | ||||
\(536\) | 50.8207 | + | 33.4253i | 2.19512 | + | 1.44375i | ||||
\(537\) | 6.03864 | − | 0.683924i | 0.260587 | − | 0.0295135i | ||||
\(538\) | −14.2697 | + | 47.6641i | −0.615210 | + | 2.05495i | ||||
\(539\) | −10.2720 | + | 17.7917i | −0.442448 | + | 0.766343i | ||||
\(540\) | 39.2706 | − | 51.5843i | 1.68994 | − | 2.21983i | ||||
\(541\) | −15.8581 | − | 27.4670i | −0.681792 | − | 1.18090i | −0.974434 | − | 0.224676i | \(-0.927868\pi\) |
0.292642 | − | 0.956222i | \(-0.405466\pi\) | |||||||
\(542\) | −22.6995 | + | 5.37988i | −0.975027 | + | 0.231086i | ||||
\(543\) | −34.3579 | + | 17.1015i | −1.47444 | + | 0.733897i | ||||
\(544\) | −11.7749 | + | 5.91356i | −0.504844 | + | 0.253542i | ||||
\(545\) | 10.9115 | − | 25.2956i | 0.467395 | − | 1.08354i | ||||
\(546\) | 10.5294 | − | 3.78976i | 0.450615 | − | 0.162187i | ||||
\(547\) | −2.37854 | − | 40.8380i | −0.101699 | − | 1.74611i | −0.534996 | − | 0.844855i | \(-0.679687\pi\) |
0.433296 | − | 0.901251i | \(-0.357350\pi\) | |||||||
\(548\) | 3.75446 | + | 21.2926i | 0.160382 | + | 0.909574i | ||||
\(549\) | 6.17844 | + | 8.42427i | 0.263689 | + | 0.359539i | ||||
\(550\) | −4.12919 | + | 23.4178i | −0.176069 | + | 0.998538i | ||||
\(551\) | −7.95693 | − | 0.930032i | −0.338977 | − | 0.0396207i | ||||
\(552\) | −86.6193 | − | 10.4386i | −3.68676 | − | 0.444298i | ||||
\(553\) | 0.355024 | + | 1.18586i | 0.0150972 | + | 0.0504280i | ||||
\(554\) | 73.9559 | + | 17.5279i | 3.14208 | + | 0.744688i | ||||
\(555\) | −12.0519 | − | 12.8662i | −0.511576 | − | 0.546141i | ||||
\(556\) | −14.7831 | − | 34.2711i | −0.626944 | − | 1.45342i | ||||
\(557\) | −10.6022 | − | 8.89628i | −0.449229 | − | 0.376948i | 0.389921 | − | 0.920848i | \(-0.372502\pi\) |
−0.839150 | + | 0.543901i | \(0.816947\pi\) | |||||||
\(558\) | −25.4777 | − | 27.3949i | −1.07856 | − | 1.15972i | ||||
\(559\) | −1.28270 | + | 1.07631i | −0.0542523 | + | 0.0455231i | ||||
\(560\) | −9.09545 | − | 4.56791i | −0.384353 | − | 0.193029i | ||||
\(561\) | 7.96484 | + | 13.9102i | 0.336276 | + | 0.587290i | ||||
\(562\) | −21.6007 | + | 2.52476i | −0.911169 | + | 0.106500i | ||||
\(563\) | 1.52932 | − | 26.2573i | 0.0644530 | − | 1.10661i | −0.798719 | − | 0.601705i | \(-0.794488\pi\) |
0.863172 | − | 0.504910i | \(-0.168474\pi\) | |||||||
\(564\) | −42.6046 | + | 44.8358i | −1.79398 | + | 1.88793i | ||||
\(565\) | 28.6953 | + | 30.4153i | 1.20722 | + | 1.27958i | ||||
\(566\) | −72.8642 | −3.06271 | ||||||||
\(567\) | 3.83839 | − | 3.12828i | 0.161197 | − | 0.131376i | ||||
\(568\) | 14.8048 | 0.621196 | ||||||||
\(569\) | 3.92706 | + | 4.16244i | 0.164631 | + | 0.174499i | 0.804437 | − | 0.594037i | \(-0.202467\pi\) |
−0.639806 | + | 0.768536i | \(0.720985\pi\) | |||||||
\(570\) | −60.9395 | − | 14.6734i | −2.55248 | − | 0.614602i | ||||
\(571\) | −0.184594 | + | 3.16935i | −0.00772501 | + | 0.132633i | 0.992241 | + | 0.124333i | \(0.0396791\pi\) |
−0.999966 | + | 0.00830025i | \(0.997358\pi\) | |||||||
\(572\) | 62.1645 | − | 7.26599i | 2.59923 | − | 0.303806i | ||||
\(573\) | 4.53214 | + | 0.0162160i | 0.189333 | + | 0.000677435i | ||||
\(574\) | −1.42116 | − | 0.713731i | −0.0593179 | − | 0.0297906i | ||||
\(575\) | −19.5502 | + | 16.4046i | −0.815301 | + | 0.684119i | ||||
\(576\) | −2.31857 | − | 5.48259i | −0.0966070 | − | 0.228441i | ||||
\(577\) | 15.3813 | + | 12.9064i | 0.640332 | + | 0.537302i | 0.904120 | − | 0.427278i | \(-0.140528\pi\) |
−0.263788 | + | 0.964581i | \(0.584972\pi\) | |||||||
\(578\) | −7.90996 | − | 18.3373i | −0.329011 | − | 0.762733i | ||||
\(579\) | 6.19502 | − | 20.4265i | 0.257456 | − | 0.848897i | ||||
\(580\) | 19.2990 | + | 4.57395i | 0.801348 | + | 0.189923i | ||||
\(581\) | −0.480642 | − | 1.60546i | −0.0199404 | − | 0.0666055i | ||||
\(582\) | 11.0456 | − | 14.7265i | 0.457854 | − | 0.610433i | ||||
\(583\) | 2.10588 | + | 0.246142i | 0.0872167 | + | 0.0101942i | ||||
\(584\) | 5.44184 | − | 30.8622i | 0.225185 | − | 1.27709i | ||||
\(585\) | −35.4874 | + | 17.5056i | −1.46722 | + | 0.723766i | ||||
\(586\) | 4.01016 | + | 22.7428i | 0.165658 | + | 0.939495i | ||||
\(587\) | 1.87510 | + | 32.1943i | 0.0773938 | + | 1.32880i | 0.783808 | + | 0.621003i | \(0.213274\pi\) |
−0.706415 | + | 0.707798i | \(0.749689\pi\) | |||||||
\(588\) | 38.9211 | + | 32.8967i | 1.60508 | + | 1.35664i | ||||
\(589\) | −9.84458 | + | 22.8223i | −0.405639 | + | 0.940377i | ||||
\(590\) | 3.79752 | − | 1.90719i | 0.156341 | − | 0.0785176i | ||||
\(591\) | 2.91562 | − | 47.1522i | 0.119933 | − | 1.93958i | ||||
\(592\) | 22.7148 | − | 5.38350i | 0.933572 | − | 0.221261i | ||||
\(593\) | −7.37965 | − | 12.7819i | −0.303046 | − | 0.524891i | 0.673779 | − | 0.738933i | \(-0.264670\pi\) |
−0.976824 | + | 0.214043i | \(0.931337\pi\) | |||||||
\(594\) | 36.2074 | − | 17.6999i | 1.48561 | − | 0.726238i | ||||
\(595\) | −2.35705 | + | 4.08253i | −0.0966296 | + | 0.167367i | ||||
\(596\) | 13.3482 | − | 44.5860i | 0.546762 | − | 1.82631i | ||||
\(597\) | −0.787507 | − | 1.06575i | −0.0322305 | − | 0.0436181i | ||||
\(598\) | 81.6715 | + | 53.7162i | 3.33980 | + | 2.19662i | ||||
\(599\) | 0.189844 | + | 0.255005i | 0.00775683 | + | 0.0104192i | 0.805985 | − | 0.591936i | \(-0.201636\pi\) |
−0.798228 | + | 0.602356i | \(0.794229\pi\) | |||||||
\(600\) | 30.1551 | + | 11.0979i | 1.23108 | + | 0.453070i | ||||
\(601\) | 8.08703 | − | 5.31892i | 0.329877 | − | 0.216963i | −0.373756 | − | 0.927527i | \(-0.621930\pi\) |
0.703633 | + | 0.710564i | \(0.251560\pi\) | |||||||
\(602\) | 0.471308 | + | 0.171542i | 0.0192091 | + | 0.00699154i | ||||
\(603\) | −22.9622 | − | 19.5493i | −0.935094 | − | 0.796109i | ||||
\(604\) | −53.8351 | + | 19.5944i | −2.19052 | + | 0.797283i | ||||
\(605\) | 2.69709 | − | 3.62283i | 0.109652 | − | 0.147289i | ||||
\(606\) | −15.0426 | − | 7.62218i | −0.611062 | − | 0.309630i | ||||
\(607\) | −4.39221 | + | 4.65547i | −0.178274 | + | 0.188960i | −0.810349 | − | 0.585948i | \(-0.800722\pi\) |
0.632074 | + | 0.774908i | \(0.282204\pi\) | |||||||
\(608\) | 15.1045 | − | 16.0098i | 0.612568 | − | 0.649284i | ||||
\(609\) | 1.35128 | + | 0.684706i | 0.0547568 | + | 0.0277457i | ||||
\(610\) | −14.9330 | + | 20.0585i | −0.604619 | + | 0.812144i | ||||
\(611\) | 35.4737 | − | 12.9114i | 1.43511 | − | 0.522338i | ||||
\(612\) | 37.4599 | − | 13.3315i | 1.51423 | − | 0.538894i | ||||
\(613\) | 4.35986 | + | 1.58686i | 0.176093 | + | 0.0640927i | 0.428562 | − | 0.903512i | \(-0.359020\pi\) |
−0.252469 | + | 0.967605i | \(0.581243\pi\) | |||||||
\(614\) | 71.0144 | − | 46.7069i | 2.86591 | − | 1.88494i | ||||
\(615\) | 5.27732 | + | 1.94220i | 0.212802 | + | 0.0783171i | ||||
\(616\) | −6.09853 | − | 8.19174i | −0.245717 | − | 0.330055i | ||||
\(617\) | −16.5134 | − | 10.8611i | −0.664806 | − | 0.437250i | 0.171743 | − | 0.985142i | \(-0.445060\pi\) |
−0.836549 | + | 0.547892i | \(0.815430\pi\) | |||||||
\(618\) | 4.70548 | + | 6.36800i | 0.189282 | + | 0.256159i | ||||
\(619\) | −0.115818 | + | 0.386858i | −0.00465510 | + | 0.0155491i | −0.960286 | − | 0.279019i | \(-0.909991\pi\) |
0.955630 | + | 0.294568i | \(0.0951759\pi\) | |||||||
\(620\) | 30.7677 | − | 53.2912i | 1.23566 | − | 2.14023i | ||||
\(621\) | 41.9791 | + | 10.4264i | 1.68456 | + | 0.418396i | ||||
\(622\) | 26.0740 | + | 45.1615i | 1.04547 | + | 1.81081i | ||||
\(623\) | −6.18327 | + | 1.46546i | −0.247727 | + | 0.0587125i | ||||
\(624\) | 3.23379 | − | 52.2976i | 0.129455 | − | 2.09358i | ||||
\(625\) | −27.6399 | + | 13.8813i | −1.10560 | + | 0.555251i | ||||
\(626\) | −33.8653 | + | 78.5085i | −1.35353 | + | 3.13783i | ||||
\(627\) | −20.4497 | − | 17.2844i | −0.816683 | − | 0.690273i | ||||
\(628\) | 5.65750 | + | 97.1355i | 0.225759 | + | 3.87613i | ||||
\(629\) | −1.87750 | − | 10.6478i | −0.0748607 | − | 0.424556i | ||||
\(630\) | 9.85592 | + | 6.58386i | 0.392669 | + | 0.262307i | ||||
\(631\) | 5.92526 | − | 33.6038i | 0.235881 | − | 1.33775i | −0.604869 | − | 0.796325i | \(-0.706775\pi\) |
0.840750 | − | 0.541423i | \(-0.182114\pi\) | |||||||
\(632\) | 13.5223 | + | 1.58053i | 0.537887 | + | 0.0628700i | ||||
\(633\) | −19.4778 | + | 25.9688i | −0.774175 | + | 1.03217i | ||||
\(634\) | −6.09982 | − | 20.3748i | −0.242255 | − | 0.809188i | ||||
\(635\) | −44.5582 | − | 10.5605i | −1.76824 | − | 0.419080i | ||||
\(636\) | 1.52642 | − | 5.03298i | 0.0605265 | − | 0.199571i | ||||
\(637\) | −12.3198 | − | 28.5605i | −0.488128 | − | 1.13161i | ||||
\(638\) | 9.44493 | + | 7.92524i | 0.373928 | + | 0.313763i | ||||
\(639\) | −7.28397 | − | 0.904256i | −0.288149 | − | 0.0357718i | ||||
\(640\) | 29.9191 | − | 25.1051i | 1.18266 | − | 0.992367i | ||||
\(641\) | −25.2090 | − | 12.6604i | −0.995694 | − | 0.500056i | −0.125145 | − | 0.992138i | \(-0.539940\pi\) |
−0.870549 | + | 0.492082i | \(0.836236\pi\) | |||||||
\(642\) | 54.3268 | + | 0.194382i | 2.14411 | + | 0.00767163i | ||||
\(643\) | −32.1802 | + | 3.76132i | −1.26906 | + | 0.148332i | −0.723845 | − | 0.689962i | \(-0.757627\pi\) |
−0.545218 | + | 0.838295i | \(0.683553\pi\) | |||||||
\(644\) | 1.16991 | − | 20.0866i | 0.0461010 | − | 0.791523i | ||||
\(645\) | −1.72423 | − | 0.415171i | −0.0678914 | − | 0.0163473i | ||||
\(646\) | −26.3810 | − | 27.9622i | −1.03795 | − | 1.10016i | ||||
\(647\) | −3.64502 | −0.143300 | −0.0716502 | − | 0.997430i | \(-0.522827\pi\) | ||||
−0.0716502 | + | 0.997430i | \(0.522827\pi\) | |||||||
\(648\) | −14.8710 | − | 52.3903i | −0.584190 | − | 2.05808i | ||||
\(649\) | 1.81529 | 0.0712563 | ||||||||
\(650\) | −24.7062 | − | 26.1870i | −0.969057 | − | 1.02714i | ||||
\(651\) | 3.23752 | − | 3.40707i | 0.126888 | − | 0.133533i | ||||
\(652\) | 4.39373 | − | 75.4375i | 0.172072 | − | 2.95436i | ||||
\(653\) | −39.3235 | + | 4.59626i | −1.53885 | + | 0.179866i | −0.842838 | − | 0.538167i | \(-0.819117\pi\) |
−0.696010 | + | 0.718032i | \(0.745043\pi\) | |||||||
\(654\) | −21.1087 | − | 36.8654i | −0.825416 | − | 1.44155i | ||||
\(655\) | 46.0831 | + | 23.1438i | 1.80062 | + | 0.904303i | ||||
\(656\) | −5.70418 | + | 4.78638i | −0.222711 | + | 0.186877i | ||||
\(657\) | −4.56240 | + | 14.8518i | −0.177996 | + | 0.579425i | ||||
\(658\) | −8.66210 | − | 7.26837i | −0.337684 | − | 0.283350i | ||||
\(659\) | −8.30839 | − | 19.2610i | −0.323649 | − | 0.750302i | −0.999907 | − | 0.0136375i | \(-0.995659\pi\) |
0.676258 | − | 0.736665i | \(-0.263600\pi\) | |||||||
\(660\) | 45.3186 | + | 48.3805i | 1.76402 | + | 1.88321i | ||||
\(661\) | −31.5060 | − | 7.46705i | −1.22544 | − | 0.290435i | −0.433567 | − | 0.901121i | \(-0.642745\pi\) |
−0.791872 | + | 0.610687i | \(0.790894\pi\) | |||||||
\(662\) | −4.71824 | − | 15.7600i | −0.183380 | − | 0.612531i | ||||
\(663\) | −24.0942 | − | 2.90364i | −0.935743 | − | 0.112768i | ||||
\(664\) | −18.3068 | − | 2.13976i | −0.710443 | − | 0.0830389i | ||||
\(665\) | 1.36742 | − | 7.75501i | 0.0530261 | − | 0.300726i | ||||
\(666\) | −27.0230 | + | 2.96267i | −1.04712 | + | 0.114801i | ||||
\(667\) | 2.29783 | + | 13.0317i | 0.0889725 | + | 0.504588i | ||||
\(668\) | 3.00752 | + | 51.6372i | 0.116365 | + | 1.99790i | ||||
\(669\) | −4.50421 | + | 1.62117i | −0.174143 | + | 0.0626781i | ||||
\(670\) | 28.5911 | − | 66.2817i | 1.10457 | − | 2.56069i | ||||
\(671\) | −9.54598 | + | 4.79417i | −0.368518 | + | 0.185077i | ||||
\(672\) | −3.72602 | + | 1.85461i | −0.143734 | + | 0.0715432i | ||||
\(673\) | 40.9540 | − | 9.70628i | 1.57866 | − | 0.374150i | 0.654473 | − | 0.756085i | \(-0.272891\pi\) |
0.924189 | + | 0.381936i | \(0.124742\pi\) | |||||||
\(674\) | −4.32867 | − | 7.49748i | −0.166734 | − | 0.288792i | ||||
\(675\) | −14.1585 | − | 7.30200i | −0.544960 | − | 0.281054i | ||||
\(676\) | −18.8241 | + | 32.6043i | −0.724005 | + | 1.25401i | ||||
\(677\) | 1.85749 | − | 6.20445i | 0.0713891 | − | 0.238456i | −0.914847 | − | 0.403801i | \(-0.867689\pi\) |
0.986236 | + | 0.165345i | \(0.0528738\pi\) | |||||||
\(678\) | 64.0709 | − | 7.25654i | 2.46063 | − | 0.278686i | ||||
\(679\) | 1.93220 | + | 1.27083i | 0.0741512 | + | 0.0487700i | ||||
\(680\) | 30.9607 | + | 41.5874i | 1.18729 | + | 1.59481i | ||||
\(681\) | 1.97224 | + | 11.4240i | 0.0755764 | + | 0.437768i | ||||
\(682\) | 31.9601 | − | 21.0205i | 1.22381 | − | 0.804915i | ||||
\(683\) | 7.47167 | + | 2.71946i | 0.285895 | + | 0.104057i | 0.480987 | − | 0.876728i | \(-0.340278\pi\) |
−0.195092 | + | 0.980785i | \(0.562501\pi\) | |||||||
\(684\) | −51.1844 | + | 42.3283i | −1.95708 | + | 1.61846i | ||||
\(685\) | 13.1343 | − | 4.78050i | 0.501836 | − | 0.182654i | ||||
\(686\) | −11.3788 | + | 15.2843i | −0.434444 | + | 0.583559i | ||||
\(687\) | −19.0464 | + | 12.4296i | −0.726667 | + | 0.474220i | ||||
\(688\) | 1.61159 | − | 1.70818i | 0.0614411 | − | 0.0651238i | ||||
\(689\) | −2.20289 | + | 2.33492i | −0.0839233 | + | 0.0889535i | ||||
\(690\) | 5.65025 | + | 103.382i | 0.215101 | + | 3.93570i | ||||
\(691\) | −14.0260 | + | 18.8402i | −0.533576 | + | 0.716716i | −0.984410 | − | 0.175891i | \(-0.943719\pi\) |
0.450834 | + | 0.892608i | \(0.351127\pi\) | |||||||
\(692\) | −49.3786 | + | 17.9724i | −1.87709 | + | 0.683206i | ||||
\(693\) | 2.50014 | + | 4.40283i | 0.0949723 | + | 0.167250i | ||||
\(694\) | −60.2157 | − | 21.9167i | −2.28576 | − | 0.831948i | ||||
\(695\) | −20.1590 | + | 13.2588i | −0.764673 | + | 0.502934i | ||||
\(696\) | 12.8011 | − | 10.6636i | 0.485224 | − | 0.404202i | ||||
\(697\) | 2.05950 | + | 2.76639i | 0.0780093 | + | 0.104785i | ||||
\(698\) | −22.1561 | − | 14.5723i | −0.838619 | − | 0.551569i | ||||
\(699\) | −9.31266 | + | 21.3785i | −0.352237 | + | 0.808610i | ||||
\(700\) | −2.12532 | + | 7.09906i | −0.0803295 | + | 0.268319i | ||||
\(701\) | −1.42901 | + | 2.47512i | −0.0539731 | + | 0.0934841i | −0.891750 | − | 0.452529i | \(-0.850522\pi\) |
0.837777 | + | 0.546013i | \(0.183855\pi\) | |||||||
\(702\) | −11.2402 | + | 59.9744i | −0.424233 | + | 2.26359i | ||||
\(703\) | 9.03048 | + | 15.6413i | 0.340591 | + | 0.589921i | ||||
\(704\) | 5.92261 | − | 1.40368i | 0.223217 | − | 0.0529033i | ||||
\(705\) | 33.3271 | + | 22.0908i | 1.25517 | + | 0.831988i | ||||
\(706\) | −25.7422 | + | 12.9282i | −0.968821 | + | 0.486560i | ||||
\(707\) | 0.839117 | − | 1.94529i | 0.0315582 | − | 0.0731602i | ||||
\(708\) | 0.797793 | − | 4.43172i | 0.0299829 | − | 0.166554i | ||||
\(709\) | −2.59089 | − | 44.4838i | −0.0973028 | − | 1.67063i | −0.595343 | − | 0.803472i | \(-0.702984\pi\) |
0.498040 | − | 0.867154i | \(-0.334053\pi\) | |||||||
\(710\) | −3.05085 | − | 17.3023i | −0.114497 | − | 0.649342i | ||||
\(711\) | −6.55642 | − | 1.60354i | −0.245885 | − | 0.0601374i | ||||
\(712\) | −12.1361 | + | 68.8271i | −0.454818 | + | 2.57940i | ||||
\(713\) | 40.7779 | + | 4.76625i | 1.52714 | + | 0.178497i | ||||
\(714\) | 2.85533 | + | 6.68506i | 0.106858 | + | 0.250182i | ||||
\(715\) | −11.6043 | − | 38.7610i | −0.433975 | − | 1.44958i | ||||
\(716\) | 14.9989 | + | 3.55480i | 0.560534 | + | 0.132849i | ||||
\(717\) | 25.2060 | − | 5.87876i | 0.941335 | − | 0.219546i | ||||
\(718\) | 16.7416 | + | 38.8113i | 0.624790 | + | 1.44843i | ||||
\(719\) | 13.1209 | + | 11.0097i | 0.489327 | + | 0.410594i | 0.853785 | − | 0.520626i | \(-0.174301\pi\) |
−0.364458 | + | 0.931220i | \(0.618746\pi\) | |||||||
\(720\) | 46.5846 | − | 30.1638i | 1.73611 | − | 1.12414i | ||||
\(721\) | −0.762003 | + | 0.639396i | −0.0283785 | + | 0.0238124i | ||||
\(722\) | 14.4548 | + | 7.25949i | 0.537953 | + | 0.270170i | ||||
\(723\) | 16.7693 | − | 28.8068i | 0.623658 | − | 1.07134i | ||||
\(724\) | −96.6859 | + | 11.3010i | −3.59330 | + | 0.419997i | ||||
\(725\) | 0.283372 | − | 4.86532i | 0.0105242 | − | 0.180693i | ||||
\(726\) | −1.97361 | − | 6.67920i | −0.0732475 | − | 0.247888i | ||||
\(727\) | −5.40730 | − | 5.73140i | −0.200546 | − | 0.212566i | 0.619294 | − | 0.785159i | \(-0.287419\pi\) |
−0.819840 | + | 0.572593i | \(0.805937\pi\) | |||||||
\(728\) | 15.4621 | 0.573065 | ||||||||
\(729\) | 4.11664 | + | 26.6843i | 0.152468 | + | 0.988308i | ||||
\(730\) | −37.1898 | −1.37645 | ||||||||
\(731\) | −0.746426 | − | 0.791165i | −0.0276076 | − | 0.0292623i | ||||
\(732\) | 7.50885 | + | 25.4119i | 0.277535 | + | 0.939250i | ||||
\(733\) | −0.809996 | + | 13.9071i | −0.0299179 | + | 0.513670i | 0.949746 | + | 0.313023i | \(0.101342\pi\) |
−0.979664 | + | 0.200647i | \(0.935695\pi\) | |||||||
\(734\) | 55.3088 | − | 6.46467i | 2.04148 | − | 0.238615i | ||||
\(735\) | 16.5743 | − | 28.4717i | 0.611352 | − | 1.05020i | ||||
\(736\) | −32.4896 | − | 16.3169i | −1.19758 | − | 0.601449i | ||||
\(737\) | 23.6215 | − | 19.8208i | 0.870109 | − | 0.730108i | ||||
\(738\) | 7.27880 | − | 4.71307i | 0.267936 | − | 0.173490i | ||||
\(739\) | −14.0426 | − | 11.7832i | −0.516566 | − | 0.433450i | 0.346867 | − | 0.937914i | \(-0.387246\pi\) |
−0.863433 | + | 0.504464i | \(0.831690\pi\) | |||||||
\(740\) | −17.7106 | − | 41.0579i | −0.651056 | − | 1.50932i | ||||
\(741\) | 39.4797 | − | 9.20780i | 1.45032 | − | 0.338257i | ||||
\(742\) | 0.935615 | + | 0.221745i | 0.0343475 | + | 0.00814051i | ||||
\(743\) | 1.24333 | + | 4.15302i | 0.0456134 | + | 0.152360i | 0.977763 | − | 0.209715i | \(-0.0672537\pi\) |
−0.932149 | + | 0.362075i | \(0.882069\pi\) | |||||||
\(744\) | −20.3039 | − | 47.5367i | −0.744377 | − | 1.74278i | ||||
\(745\) | −29.8838 | − | 3.49292i | −1.09486 | − | 0.127971i | ||||
\(746\) | −13.3532 | + | 75.7298i | −0.488896 | + | 2.77266i | ||||
\(747\) | 8.87628 | + | 2.17092i | 0.324766 | + | 0.0794297i | ||||
\(748\) | 7.05991 | + | 40.0387i | 0.258136 | + | 1.46396i | ||||
\(749\) | 0.396845 | + | 6.81357i | 0.0145004 | + | 0.248962i | ||||
\(750\) | −4.26217 | + | 23.6763i | −0.155632 | + | 0.864535i | ||||
\(751\) | 7.24256 | − | 16.7901i | 0.264285 | − | 0.612681i | −0.733465 | − | 0.679727i | \(-0.762098\pi\) |
0.997750 | + | 0.0670461i | \(0.0213575\pi\) | |||||||
\(752\) | −47.3135 | + | 23.7618i | −1.72535 | + | 0.866502i | ||||
\(753\) | 23.3800 | + | 15.4974i | 0.852016 | + | 0.564758i | ||||
\(754\) | −18.1640 | + | 4.30495i | −0.661495 | + | 0.156777i | ||||
\(755\) | 18.5180 | + | 32.0742i | 0.673940 | + | 1.16730i | ||||
\(756\) | 11.8475 | − | 4.16869i | 0.430891 | − | 0.151614i | ||||
\(757\) | 3.24094 | − | 5.61347i | 0.117794 | − | 0.204025i | −0.801099 | − | 0.598532i | \(-0.795751\pi\) |
0.918893 | + | 0.394507i | \(0.129084\pi\) | |||||||
\(758\) | 8.92008 | − | 29.7951i | 0.323992 | − | 1.08221i | ||||
\(759\) | −17.6630 | + | 40.5480i | −0.641128 | + | 1.47180i | ||||
\(760\) | −72.3591 | − | 47.5913i | −2.62474 | − | 1.72632i | ||||
\(761\) | −18.1261 | − | 24.3476i | −0.657071 | − | 0.882599i | 0.341283 | − | 0.939961i | \(-0.389139\pi\) |
−0.998353 | + | 0.0573616i | \(0.981731\pi\) | |||||||
\(762\) | −54.2553 | + | 45.1958i | −1.96546 | + | 1.63727i | ||||
\(763\) | 4.45890 | − | 2.93267i | 0.161423 | − | 0.106170i | ||||
\(764\) | 10.8022 | + | 3.93167i | 0.390809 | + | 0.142243i | ||||
\(765\) | −12.6926 | − | 22.3521i | −0.458901 | − | 0.808140i | ||||
\(766\) | −17.2645 | + | 6.28375i | −0.623791 | + | 0.227041i | ||||
\(767\) | −1.64123 | + | 2.20456i | −0.0592614 | + | 0.0796019i | ||||
\(768\) | −2.91162 | − | 53.2737i | −0.105064 | − | 1.92235i | ||||
\(769\) | 33.6552 | − | 35.6724i | 1.21364 | − | 1.28638i | 0.267145 | − | 0.963656i | \(-0.413920\pi\) |
0.946493 | − | 0.322725i | \(-0.104599\pi\) | |||||||
\(770\) | −8.31688 | + | 8.81538i | −0.299720 | + | 0.317684i | ||||
\(771\) | −32.0595 | + | 20.9219i | −1.15459 | + | 0.753483i | ||||
\(772\) | 32.3304 | − | 43.4272i | 1.16359 | − | 1.56298i | ||||
\(773\) | −37.0514 | + | 13.4856i | −1.33265 | + | 0.485044i | −0.907489 | − | 0.420075i | \(-0.862004\pi\) |
−0.425158 | + | 0.905119i | \(0.639781\pi\) | |||||||
\(774\) | −2.10752 | + | 1.74287i | −0.0757531 | + | 0.0626461i | ||||
\(775\) | −14.2087 | − | 5.17155i | −0.510392 | − | 0.185768i | ||||
\(776\) | 21.2508 | − | 13.9769i | 0.762860 | − | 0.501741i | ||||
\(777\) | −0.581012 | − | 3.36545i | −0.0208437 | − | 0.120735i | ||||
\(778\) | 28.9745 | + | 38.9195i | 1.03878 | + | 1.39533i | ||||
\(779\) | −4.81332 | − | 3.16577i | −0.172455 | − | 0.113426i | ||||
\(780\) | −99.7284 | + | 11.2950i | −3.57085 | + | 0.404427i | ||||
\(781\) | 2.15248 | − | 7.18979i | 0.0770219 | − | 0.257271i | ||||
\(782\) | −31.7498 | + | 54.9922i | −1.13537 | + | 1.96652i | ||||
\(783\) | −6.94946 | + | 4.46461i | −0.248353 | + | 0.159552i | ||||
\(784\) | 21.8121 | + | 37.7797i | 0.779003 | + | 1.34927i | ||||
\(785\) | 61.2056 | − | 14.5060i | 2.18452 | − | 0.517741i | ||||
\(786\) | 71.1891 | − | 35.4341i | 2.53923 | − | 1.26389i | ||||
\(787\) | −1.10582 | + | 0.555364i | −0.0394182 | + | 0.0197966i | −0.468399 | − | 0.883517i | \(-0.655169\pi\) |
0.428981 | + | 0.903314i | \(0.358873\pi\) | |||||||
\(788\) | 47.4605 | − | 110.026i | 1.69071 | − | 3.91950i | ||||
\(789\) | 25.9162 | − | 9.32786i | 0.922642 | − | 0.332081i | ||||
\(790\) | −0.939410 | − | 16.1291i | −0.0334227 | − | 0.573846i | ||||
\(791\) | 1.40667 | + | 7.97762i | 0.0500154 | + | 0.283652i | ||||
\(792\) | 55.3540 | − | 6.06876i | 1.96692 | − | 0.215644i | ||||
\(793\) | 2.80844 | − | 15.9275i | 0.0997308 | − | 0.565601i | ||||
\(794\) | 67.3178 | + | 7.86832i | 2.38902 | + | 0.279236i | ||||
\(795\) | −3.37557 | − | 0.406796i | −0.119719 | − | 0.0144275i | ||||
\(796\) | −0.963969 | − | 3.21988i | −0.0341670 | − | 0.114126i | ||||
\(797\) | −25.7229 | − | 6.09644i | −0.911152 | − | 0.215947i | −0.251798 | − | 0.967780i | \(-0.581022\pi\) |
−0.659354 | + | 0.751833i | \(0.729170\pi\) | |||||||
\(798\) | −8.30136 | − | 8.86224i | −0.293865 | − | 0.313720i | ||||
\(799\) | 9.71276 | + | 22.5167i | 0.343613 | + | 0.796584i | ||||
\(800\) | 10.2574 | + | 8.60699i | 0.362654 | + | 0.304303i | ||||
\(801\) | 10.1748 | − | 33.1217i | 0.359509 | − | 1.17030i | ||||
\(802\) | 40.2685 | − | 33.7893i | 1.42193 | − | 1.19314i | ||||
\(803\) | −14.1967 | − | 7.12984i | −0.500990 | − | 0.251607i | ||||
\(804\) | −38.0078 | − | 66.3789i | −1.34043 | − | 2.34100i | ||||
\(805\) | −12.9193 | + | 1.51006i | −0.455347 | + | 0.0532225i | ||||
\(806\) | −3.36754 | + | 57.8184i | −0.118617 | + | 2.03657i | ||||
\(807\) | 23.4775 | − | 24.7069i | 0.826445 | − | 0.869726i | ||||
\(808\) | −15.9897 | − | 16.9481i | −0.562515 | − | 0.596231i | ||||
\(809\) | −51.6224 | −1.81495 | −0.907473 | − | 0.420110i | \(-0.861992\pi\) | ||||
−0.907473 | + | 0.420110i | \(0.861992\pi\) | |||||||
\(810\) | −58.1635 | + | 28.1758i | −2.04366 | + | 0.989997i | ||||
\(811\) | 29.2739 | 1.02795 | 0.513973 | − | 0.857806i | \(-0.328173\pi\) | ||||
0.513973 | + | 0.857806i | \(0.328173\pi\) | |||||||
\(812\) | 2.63674 | + | 2.79478i | 0.0925315 | + | 0.0980777i | ||||
\(813\) | 15.5363 | + | 3.74093i | 0.544881 | + | 0.131200i | ||||
\(814\) | 1.61624 | − | 27.7497i | 0.0566490 | − | 0.972627i | ||||
\(815\) | −48.5200 | + | 5.67118i | −1.69958 | + | 0.198653i | ||||
\(816\) | 34.0367 | + | 0.121784i | 1.19152 | + | 0.00426328i | ||||
\(817\) | 1.62368 | + | 0.815443i | 0.0568054 | + | 0.0285287i | ||||
\(818\) | −3.26200 | + | 2.73714i | −0.114053 | + | 0.0957019i | ||||
\(819\) | −7.60737 | − | 0.944403i | −0.265823 | − | 0.0330001i | ||||
\(820\) | 10.9262 | + | 9.16818i | 0.381560 | + | 0.320167i | ||||
\(821\) | −5.75223 | − | 13.3352i | −0.200754 | − | 0.465401i | 0.787863 | − | 0.615850i | \(-0.211187\pi\) |
−0.988618 | + | 0.150449i | \(0.951928\pi\) | |||||||
\(822\) | 6.25543 | − | 20.6257i | 0.218183 | − | 0.719404i | ||||
\(823\) | 32.1775 | + | 7.62621i | 1.12164 | + | 0.265833i | 0.749278 | − | 0.662255i | \(-0.230401\pi\) |
0.372360 | + | 0.928088i | \(0.378549\pi\) | |||||||
\(824\) | 3.13768 | + | 10.4806i | 0.109306 | + | 0.365109i | ||||
\(825\) | 9.77385 | − | 13.0310i | 0.340282 | − | 0.453680i | ||||
\(826\) | 0.817679 | + | 0.0955729i | 0.0284507 | + | 0.00332541i | ||||
\(827\) | 1.95177 | − | 11.0690i | 0.0678697 | − | 0.384908i | −0.931885 | − | 0.362754i | \(-0.881836\pi\) |
0.999755 | − | 0.0221541i | \(-0.00705243\pi\) | |||||||
\(828\) | 91.2286 | + | 60.9417i | 3.17041 | + | 2.11787i | ||||
\(829\) | 4.25374 | + | 24.1242i | 0.147739 | + | 0.837867i | 0.965127 | + | 0.261781i | \(0.0843097\pi\) |
−0.817389 | + | 0.576086i | \(0.804579\pi\) | |||||||
\(830\) | 1.27180 | + | 21.8360i | 0.0441449 | + | 0.757938i | ||||
\(831\) | −39.7637 | − | 33.6089i | −1.37939 | − | 1.16588i | ||||
\(832\) | −3.65003 | + | 8.46173i | −0.126542 | + | 0.293358i | ||||
\(833\) | 18.0559 | − | 9.06803i | 0.625601 | − | 0.314189i | ||||
\(834\) | −2.29627 | + | 37.1359i | −0.0795134 | + | 1.28591i | ||||
\(835\) | 32.5369 | − | 7.71138i | 1.12598 | − | 0.266863i | ||||
\(836\) | −33.9571 | − | 58.8154i | −1.17443 | − | 2.03417i | ||||
\(837\) | 7.08605 | + | 24.6282i | 0.244930 | + | 0.851274i | ||||
\(838\) | 9.64135 | − | 16.6993i | 0.333055 | − | 0.576868i | ||||
\(839\) | 0.102857 | − | 0.343566i | 0.00355102 | − | 0.0118612i | −0.956196 | − | 0.292728i | \(-0.905437\pi\) |
0.959747 | + | 0.280867i | \(0.0906220\pi\) | |||||||
\(840\) | 9.73257 | + | 13.1712i | 0.335805 | + | 0.454451i | ||||
\(841\) | 22.1179 | + | 14.5472i | 0.762687 | + | 0.501627i | ||||
\(842\) | −49.0516 | − | 65.8877i | −1.69043 | − | 2.27064i | ||||
\(843\) | 13.9808 | + | 5.14533i | 0.481525 | + | 0.177215i | ||||
\(844\) | −68.7908 | + | 45.2444i | −2.36788 | + | 1.55738i | ||||
\(845\) | 22.8705 | + | 8.32418i | 0.786769 | + | 0.286360i | ||||
\(846\) | 58.0875 | − | 20.6726i | 1.99709 | − | 0.710738i | ||||
\(847\) | 0.822205 | − | 0.299258i | 0.0282513 | − | 0.0102826i | ||||
\(848\) | 2.68851 | − | 3.61129i | 0.0923236 | − | 0.124012i | ||||
\(849\) | 44.5237 | + | 22.5605i | 1.52805 | + | 0.774274i | ||||
\(850\) | 16.0489 | − | 17.0108i | 0.550473 | − | 0.583467i | ||||
\(851\) | 20.4727 | − | 21.6998i | 0.701794 | − | 0.743858i | ||||
\(852\) | −16.6067 | − | 8.41474i | −0.568936 | − | 0.288284i | ||||
\(853\) | −30.9125 | + | 41.5227i | −1.05843 | + | 1.42171i | −0.157614 | + | 0.987501i | \(0.550380\pi\) |
−0.900811 | + | 0.434211i | \(0.857027\pi\) | |||||||
\(854\) | −4.55230 | + | 1.65690i | −0.155776 | + | 0.0566980i | ||||
\(855\) | 32.6939 | + | 27.8345i | 1.11811 | + | 0.951921i | ||||
\(856\) | 70.5372 | + | 25.6734i | 2.41091 | + | 0.877500i | ||||
\(857\) | −11.6514 | + | 7.66324i | −0.398004 | + | 0.261771i | −0.732696 | − | 0.680556i | \(-0.761738\pi\) |
0.334692 | + | 0.942328i | \(0.391368\pi\) | |||||||
\(858\) | −58.5526 | − | 21.5490i | −1.99895 | − | 0.735669i | ||||
\(859\) | 16.2767 | + | 21.8633i | 0.555352 | + | 0.745968i | 0.987806 | − | 0.155688i | \(-0.0497595\pi\) |
−0.432454 | + | 0.901656i | \(0.642352\pi\) | |||||||
\(860\) | −3.75831 | − | 2.47188i | −0.128157 | − | 0.0842903i | ||||
\(861\) | 0.647410 | + | 0.876149i | 0.0220637 | + | 0.0298591i | ||||
\(862\) | 6.70803 | − | 22.4064i | 0.228476 | − | 0.763164i | ||||
\(863\) | −22.6402 | + | 39.2140i | −0.770682 | + | 1.33486i | 0.166508 | + | 0.986040i | \(0.446751\pi\) |
−0.937190 | + | 0.348820i | \(0.886583\pi\) | |||||||
\(864\) | 1.56267 | − | 22.6405i | 0.0531630 | − | 0.770245i | ||||
\(865\) | 16.9851 | + | 29.4191i | 0.577511 | + | 1.00028i | ||||
\(866\) | −18.6025 | + | 4.40888i | −0.632139 | + | 0.149820i | ||||
\(867\) | −0.844294 | + | 13.6542i | −0.0286737 | + | 0.463719i | ||||
\(868\) | 10.6530 | − | 5.35014i | 0.361587 | − | 0.181596i | ||||
\(869\) | 2.73358 | − | 6.33714i | 0.0927303 | − | 0.214973i | ||||
\(870\) | −15.1004 | − | 12.7631i | −0.511951 | − | 0.432708i | ||||
\(871\) | 2.71456 | + | 46.6071i | 0.0919792 | + | 1.57922i | ||||
\(872\) | −10.1925 | − | 57.8045i | −0.345161 | − | 1.95751i | ||||
\(873\) | −11.3091 | + | 5.57866i | −0.382755 | + | 0.188809i | ||||
\(874\) | 18.4193 | − | 104.461i | 0.623041 | − | 3.53344i | ||||
\(875\) | −3.00182 | − | 0.350863i | −0.101480 | − | 0.0118613i | ||||
\(876\) | −23.6456 | + | 31.5254i | −0.798909 | + | 1.06514i | ||||
\(877\) | 8.22449 | + | 27.4717i | 0.277721 | + | 0.927654i | 0.977078 | + | 0.212881i | \(0.0682847\pi\) |
−0.699357 | + | 0.714773i | \(0.746530\pi\) | |||||||
\(878\) | 53.0869 | + | 12.5818i | 1.79160 | + | 0.424616i | ||||
\(879\) | 4.59129 | − | 15.1386i | 0.154860 | − | 0.510613i | ||||
\(880\) | 22.4762 | + | 52.1057i | 0.757673 | + | 1.75648i | ||||
\(881\) | −0.153779 | − | 0.129036i | −0.00518096 | − | 0.00434734i | 0.640193 | − | 0.768214i | \(-0.278854\pi\) |
−0.645374 | + | 0.763866i | \(0.723299\pi\) | |||||||
\(882\) | −19.7872 | − | 46.7898i | −0.666271 | − | 1.57550i | ||||
\(883\) | −20.9026 | + | 17.5394i | −0.703428 | + | 0.590247i | −0.922747 | − | 0.385407i | \(-0.874061\pi\) |
0.219318 | + | 0.975653i | \(0.429617\pi\) | |||||||
\(884\) | −55.0075 | − | 27.6258i | −1.85010 | − | 0.929157i | ||||
\(885\) | −2.91099 | − | 0.0104155i | −0.0978518 | − | 0.000350115i | ||||
\(886\) | 33.4103 | − | 3.90511i | 1.12244 | − | 0.131195i | ||||
\(887\) | 0.925530 | − | 15.8907i | 0.0310763 | − | 0.533559i | −0.946464 | − | 0.322810i | \(-0.895373\pi\) |
0.977540 | − | 0.210749i | \(-0.0675904\pi\) | |||||||
\(888\) | −36.5178 | − | 8.79300i | −1.22546 | − | 0.295074i | ||||
\(889\) | −6.08779 | − | 6.45268i | −0.204178 | − | 0.216416i | ||||
\(890\) | 82.9385 | 2.78010 | ||||||||
\(891\) | −27.6049 | − | 0.395107i | −0.924798 | − | 0.0132366i | ||||
\(892\) | −12.1420 | −0.406543 | ||||||||
\(893\) | −28.1105 | − | 29.7954i | −0.940683 | − | 0.997065i | ||||
\(894\) | −31.9592 | + | 33.6328i | −1.06887 | + | 1.12485i | ||||
\(895\) | 0.579405 | − | 9.94800i | 0.0193674 | − | 0.332525i | ||||
\(896\) | 7.51512 | − | 0.878392i | 0.251063 | − | 0.0293450i | ||||
\(897\) | −33.2736 | − | 58.1108i | −1.11097 | − | 1.94026i | ||||
\(898\) | −41.9208 | − | 21.0534i | −1.39892 | − | 0.702562i | ||||
\(899\) | −6.00584 | + | 5.03950i | −0.200306 | + | 0.168077i | ||||
\(900\) | −27.5174 | − | 29.5881i | −0.917248 | − | 0.986271i | ||||
\(901\) | −1.59738 | − | 1.34036i | −0.0532165 | − | 0.0446539i | ||||
\(902\) | 3.51188 | + | 8.14146i | 0.116933 | + | 0.271081i | ||||
\(903\) | −0.234880 | − | 0.250749i | −0.00781630 | − | 0.00834441i | ||||
\(904\) | 86.6917 | + | 20.5463i | 2.88332 | + | 0.683360i | ||||
\(905\) | 18.0484 | + | 60.2859i | 0.599949 | + | 2.00397i | ||||
\(906\) | 56.7007 | + | 6.83309i | 1.88375 | + | 0.227014i | ||||
\(907\) | 5.91104 | + | 0.690901i | 0.196273 | + | 0.0229410i | 0.213661 | − | 0.976908i | \(-0.431461\pi\) |
−0.0173885 | + | 0.999849i | \(0.505535\pi\) | |||||||
\(908\) | −5.10604 | + | 28.9578i | −0.169450 | + | 0.960999i | ||||
\(909\) | 6.83176 | + | 9.31507i | 0.226595 | + | 0.308961i | ||||
\(910\) | −3.18631 | − | 18.0705i | −0.105625 | − | 0.599030i | ||||
\(911\) | 0.920855 | + | 15.8105i | 0.0305093 | + | 0.523824i | 0.978593 | + | 0.205804i | \(0.0659809\pi\) |
−0.948084 | + | 0.318020i | \(0.896982\pi\) | |||||||
\(912\) | −53.4972 | + | 19.2549i | −1.77147 | + | 0.637593i | ||||
\(913\) | −3.70080 | + | 8.57941i | −0.122479 | + | 0.283937i | ||||
\(914\) | 75.4140 | − | 37.8743i | 2.49447 | − | 1.25277i | ||||
\(915\) | 15.3354 | − | 7.63313i | 0.506972 | − | 0.252344i | ||||
\(916\) | −56.1316 | + | 13.3034i | −1.85464 | + | 0.439558i | ||||
\(917\) | 4.99506 | + | 8.65170i | 0.164951 | + | 0.285704i | ||||
\(918\) | −39.3175 | − | 5.02390i | −1.29767 | − | 0.165814i | ||||
\(919\) | −8.54952 | + | 14.8082i | −0.282023 | + | 0.488477i | −0.971883 | − | 0.235465i | \(-0.924339\pi\) |
0.689860 | + | 0.723943i | \(0.257672\pi\) | |||||||
\(920\) | −41.0293 | + | 137.047i | −1.35269 | + | 4.51831i | ||||
\(921\) | −57.8550 | + | 6.55253i | −1.90639 | + | 0.215913i | ||||
\(922\) | −52.8037 | − | 34.7295i | −1.73900 | − | 1.14376i | ||||
\(923\) | 6.78547 | + | 9.11446i | 0.223346 | + | 0.300006i | ||||
\(924\) | 2.18476 | + | 12.6550i | 0.0718735 | + | 0.416320i | ||||
\(925\) | −9.17985 | + | 6.03768i | −0.301832 | + | 0.198518i | ||||
\(926\) | −26.3699 | − | 9.59784i | −0.866567 | − | 0.315405i | ||||
\(927\) | −0.903602 | − | 5.34810i | −0.0296782 | − | 0.175655i | ||||
\(928\) | 6.52409 | − | 2.37457i | 0.214164 | − | 0.0779492i | ||||
\(929\) | 16.9608 | − | 22.7823i | 0.556465 | − | 0.747462i | −0.431505 | − | 0.902111i | \(-0.642017\pi\) |
0.987970 | + | 0.154649i | \(0.0494245\pi\) | |||||||
\(930\) | −51.3716 | + | 33.5249i | −1.68454 | + | 1.09933i | ||||
\(931\) | −23.1617 | + | 24.5499i | −0.759093 | + | 0.804592i | ||||
\(932\) | −40.5884 | + | 43.0212i | −1.32952 | + | 1.40921i | ||||
\(933\) | −1.94946 | − | 35.6691i | −0.0638223 | − | 1.16775i | ||||
\(934\) | 22.4056 | − | 30.0960i | 0.733135 | − | 0.984771i | ||||
\(935\) | 24.6979 | − | 8.98929i | 0.807707 | − | 0.293981i | ||||
\(936\) | −42.6763 | + | 72.7109i | −1.39492 | + | 2.37663i | ||||
\(937\) | −28.6531 | − | 10.4289i | −0.936056 | − | 0.340696i | −0.171448 | − | 0.985193i | \(-0.554845\pi\) |
−0.764607 | + | 0.644497i | \(0.777067\pi\) | |||||||
\(938\) | 11.6836 | − | 7.68443i | 0.381483 | − | 0.250905i | ||||
\(939\) | 45.0015 | − | 37.4872i | 1.46857 | − | 1.22335i | ||||
\(940\) | 60.5608 | + | 81.3473i | 1.97528 | + | 2.65326i | ||||
\(941\) | −10.3569 | − | 6.81182i | −0.337624 | − | 0.222059i | 0.369363 | − | 0.929285i | \(-0.379576\pi\) |
−0.706987 | + | 0.707226i | \(0.749946\pi\) | |||||||
\(942\) | 38.7365 | − | 88.9251i | 1.26210 | − | 2.89734i | ||||
\(943\) | −2.72926 | + | 9.11637i | −0.0888770 | + | 0.296870i | ||||
\(944\) | 1.92733 | − | 3.33824i | 0.0627293 | − | 0.108650i | ||||
\(945\) | −3.98394 | − | 7.07470i | −0.129598 | − | 0.230140i | ||||
\(946\) | −1.39818 | − | 2.42173i | −0.0454589 | − | 0.0787371i | ||||
\(947\) | 4.96760 | − | 1.17734i | 0.161425 | − | 0.0382585i | −0.149108 | − | 0.988821i | \(-0.547640\pi\) |
0.310534 | + | 0.950562i | \(0.399492\pi\) | |||||||
\(948\) | −14.2697 | − | 9.45866i | −0.463459 | − | 0.307203i | ||||
\(949\) | 21.4942 | − | 10.7948i | 0.697731 | − | 0.350414i | ||||
\(950\) | −15.4733 | + | 35.8711i | −0.502020 | + | 1.16381i | ||||
\(951\) | −2.58123 | + | 14.3387i | −0.0837022 | + | 0.464964i | ||||
\(952\) | 0.584010 | + | 10.0271i | 0.0189279 | + | 0.324979i | ||||
\(953\) | 1.39463 | + | 7.90935i | 0.0451766 | + | 0.256209i | 0.999029 | − | 0.0440683i | \(-0.0140319\pi\) |
−0.953852 | + | 0.300277i | \(0.902921\pi\) | |||||||
\(954\) | −3.62510 | + | 3.78771i | −0.117367 | + | 0.122632i | ||||
\(955\) | 1.29045 | − | 7.31849i | 0.0417579 | − | 0.236821i | ||||
\(956\) | 65.2045 | + | 7.62132i | 2.10887 | + | 0.246491i | ||||
\(957\) | −3.31749 | − | 7.76710i | −0.107239 | − | 0.251075i | ||||
\(958\) | −19.5460 | − | 65.2880i | −0.631501 | − | 2.10936i | ||||
\(959\) | 2.63477 | + | 0.624452i | 0.0850811 | + | 0.0201646i | ||||
\(960\) | −9.50552 | + | 2.21696i | −0.306789 | + | 0.0715520i | ||||
\(961\) | −2.64407 | − | 6.12964i | −0.0852926 | − | 0.197730i | ||||
\(962\) | 32.2390 | + | 27.0518i | 1.03943 | + | 0.872184i | ||||
\(963\) | −33.1362 | − | 16.9396i | −1.06780 | − | 0.545872i | ||||
\(964\) | 64.7646 | − | 54.3440i | 2.08593 | − | 1.75030i | ||||
\(965\) | −31.2770 | − | 15.7079i | −1.00684 | − | 0.505655i | ||||
\(966\) | −10.0910 | + | 17.3345i | −0.324671 | + | 0.557729i | ||||
\(967\) | −1.56910 | + | 0.183401i | −0.0504588 | + | 0.00589778i | −0.141285 | − | 0.989969i | \(-0.545123\pi\) |
0.0908261 | + | 0.995867i | \(0.471049\pi\) | |||||||
\(968\) | 0.559536 | − | 9.60686i | 0.0179842 | − | 0.308776i | ||||
\(969\) | 7.46235 | + | 25.2545i | 0.239725 | + | 0.811291i | ||||
\(970\) | −20.7138 | − | 21.9554i | −0.665081 | − | 0.704945i | ||||
\(971\) | 2.19584 | 0.0704678 | 0.0352339 | − | 0.999379i | \(-0.488782\pi\) | ||||
0.0352339 | + | 0.999379i | \(0.488782\pi\) | |||||||
\(972\) | −13.0965 | + | 67.2190i | −0.420071 | + | 2.15605i | ||||
\(973\) | −4.67430 | −0.149851 | ||||||||
\(974\) | 1.56808 | + | 1.66207i | 0.0502445 | + | 0.0532561i | ||||
\(975\) | 6.98860 | + | 23.6512i | 0.223814 | + | 0.757445i | ||||
\(976\) | −1.31890 | + | 22.6447i | −0.0422171 | + | 0.724839i | ||||
\(977\) | 43.4307 | − | 5.07633i | 1.38947 | − | 0.162406i | 0.611769 | − | 0.791037i | \(-0.290458\pi\) |
0.777704 | + | 0.628631i | \(0.216384\pi\) | |||||||
\(978\) | −37.8977 | + | 65.1016i | −1.21183 | + | 2.08172i | ||||
\(979\) | 31.6606 | + | 15.9006i | 1.01188 | + | 0.508184i | ||||
\(980\) | 64.0114 | − | 53.7119i | 2.04477 | − | 1.71576i | ||||
\(981\) | 1.48410 | + | 29.0624i | 0.0473836 | + | 0.927890i | ||||
\(982\) | 22.5963 | + | 18.9606i | 0.721077 | + | 0.605055i | ||||
\(983\) | −20.0583 | − | 46.5003i | −0.639760 | − | 1.48313i | −0.861361 | − | 0.507993i | \(-0.830388\pi\) |
0.221601 | − | 0.975137i | \(-0.428872\pi\) | |||||||
\(984\) | 11.6682 | − | 2.72137i | 0.371970 | − | 0.0867540i | ||||
\(985\) | −75.3750 | − | 17.8642i | −2.40165 | − | 0.569201i | ||||
\(986\) | −3.47779 | − | 11.6166i | −0.110755 | − | 0.369948i | ||||
\(987\) | 3.04252 | + | 7.12333i | 0.0968446 | + | 0.226738i | ||||
\(988\) | 102.129 | + | 11.9372i | 3.24915 | + | 0.379771i | ||||
\(989\) | 0.521157 | − | 2.95563i | 0.0165718 | − | 0.0939834i | ||||
\(990\) | −18.4994 | − | 63.4412i | −0.587950 | − | 2.01629i | ||||
\(991\) | −9.22768 | − | 52.3328i | −0.293127 | − | 1.66241i | −0.674719 | − | 0.738075i | \(-0.735735\pi\) |
0.381592 | − | 0.924331i | \(-0.375376\pi\) | |||||||
\(992\) | −1.25247 | − | 21.5041i | −0.0397660 | − | 0.682756i | ||||
\(993\) | −1.99659 | + | 11.0910i | −0.0633600 | + | 0.351964i | ||||
\(994\) | 1.34810 | − | 3.12525i | 0.0427591 | − | 0.0991268i | ||||
\(995\) | −1.94170 | + | 0.975160i | −0.0615561 | + | 0.0309147i | ||||
\(996\) | 19.3188 | + | 12.8054i | 0.612138 | + | 0.405755i | ||||
\(997\) | −24.6035 | + | 5.83114i | −0.779201 | + | 0.184674i | −0.600924 | − | 0.799306i | \(-0.705200\pi\) |
−0.178277 | + | 0.983980i | \(0.557052\pi\) | |||||||
\(998\) | −34.4447 | − | 59.6600i | −1.09033 | − | 1.88850i | ||||
\(999\) | 17.4297 | + | 6.55661i | 0.551451 | + | 0.207442i |
(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 | 81.2.g.a.22.1 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.199.8 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.352.8 | 144 | |||
9.4 | even | 3 | 729.2.g.c.595.8 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.595.1 | 144 | |||
9.7 | even | 3 | 729.2.g.d.352.1 | 144 | |||
81.11 | odd | 54 | 243.2.g.a.127.8 | 144 | |||
81.16 | even | 27 | 729.2.g.d.379.1 | 144 | |||
81.31 | even | 27 | 6561.2.a.c.1.69 | 72 | |||
81.38 | odd | 54 | 729.2.g.b.136.1 | 144 | |||
81.43 | even | 27 | 729.2.g.c.136.8 | 144 | |||
81.50 | odd | 54 | 6561.2.a.d.1.4 | 72 | |||
81.65 | odd | 54 | 729.2.g.a.379.8 | 144 | |||
81.70 | even | 27 | inner | 81.2.g.a.70.1 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.22.1 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.70.1 | yes | 144 | 81.70 | even | 27 | inner | |
243.2.g.a.127.8 | 144 | 81.11 | odd | 54 | |||
243.2.g.a.199.8 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.352.8 | 144 | 9.2 | odd | 6 | |||
729.2.g.a.379.8 | 144 | 81.65 | odd | 54 | |||
729.2.g.b.136.1 | 144 | 81.38 | odd | 54 | |||
729.2.g.b.595.1 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.136.8 | 144 | 81.43 | even | 27 | |||
729.2.g.c.595.8 | 144 | 9.4 | even | 3 | |||
729.2.g.d.352.1 | 144 | 9.7 | even | 3 | |||
729.2.g.d.379.1 | 144 | 81.16 | even | 27 | |||
6561.2.a.c.1.69 | 72 | 81.31 | even | 27 | |||
6561.2.a.d.1.4 | 72 | 81.50 | odd | 54 |