Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 9 x^{19} + 41 x^{18} - 119 x^{17} + 245 x^{16} - 404 x^{15} + 623 x^{14} - 898 x^{13} + 1048 x^{12} - 693 x^{11} + 859 x^{10} - 935 x^{9} + 620 x^{8} + 679 x^{7} + 1220 x^{6} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 239.2 | ||
Root | \(0.988210 + 2.16388i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 322.239 |
Dual form | 322.2.i.c.225.2 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | + | 0.281733i | −0.678464 | + | 0.199215i | ||||
\(3\) | 2.21268 | + | 2.55356i | 1.27749 | + | 1.47430i | 0.805377 | + | 0.592762i | \(0.201963\pi\) |
0.472112 | + | 0.881539i | \(0.343492\pi\) | |||||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | −0.212341 | − | 1.47686i | −0.0949616 | − | 0.660473i | −0.980589 | − | 0.196076i | \(-0.937180\pi\) |
0.885627 | − | 0.464397i | \(-0.153729\pi\) | |||||||
\(6\) | −2.84247 | − | 1.82674i | −1.16043 | − | 0.745765i | ||||
\(7\) | 0.415415 | − | 0.909632i | 0.157012 | − | 0.343809i | ||||
\(8\) | −0.654861 | + | 0.755750i | −0.231528 | + | 0.267198i | ||||
\(9\) | −1.19781 | + | 8.33096i | −0.399270 | + | 2.77699i | ||||
\(10\) | 0.619820 | + | 1.35722i | 0.196004 | + | 0.429189i | ||||
\(11\) | 1.05545 | + | 0.309909i | 0.318231 | + | 0.0934411i | 0.436947 | − | 0.899487i | \(-0.356060\pi\) |
−0.118716 | + | 0.992928i | \(0.537878\pi\) | |||||||
\(12\) | 3.24198 | + | 0.951932i | 0.935880 | + | 0.274799i | ||||
\(13\) | 1.15860 | + | 2.53698i | 0.321337 | + | 0.703631i | 0.999511 | − | 0.0312709i | \(-0.00995547\pi\) |
−0.678173 | + | 0.734902i | \(0.737228\pi\) | |||||||
\(14\) | −0.142315 | + | 0.989821i | −0.0380352 | + | 0.264541i | ||||
\(15\) | 3.30142 | − | 3.81004i | 0.852423 | − | 0.983749i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | 3.49530 | + | 2.24629i | 0.847734 | + | 0.544806i | 0.890867 | − | 0.454264i | \(-0.150098\pi\) |
−0.0431330 | + | 0.999069i | \(0.513734\pi\) | |||||||
\(18\) | −1.19781 | − | 8.33096i | −0.282327 | − | 1.96363i | ||||
\(19\) | −1.19006 | + | 0.764804i | −0.273018 | + | 0.175458i | −0.669985 | − | 0.742375i | \(-0.733699\pi\) |
0.396966 | + | 0.917833i | \(0.370063\pi\) | |||||||
\(20\) | −0.977084 | − | 1.12762i | −0.218483 | − | 0.252142i | ||||
\(21\) | 3.24198 | − | 0.951932i | 0.707459 | − | 0.207729i | ||||
\(22\) | −1.10001 | −0.234523 | ||||||||
\(23\) | −4.78153 | − | 0.370091i | −0.997018 | − | 0.0771693i | ||||
\(24\) | −3.37885 | −0.689705 | ||||||||
\(25\) | 2.66143 | − | 0.781467i | 0.532286 | − | 0.156293i | ||||
\(26\) | −1.82642 | − | 2.10780i | −0.358190 | − | 0.413373i | ||||
\(27\) | −15.3966 | + | 9.89479i | −2.96308 | + | 1.90425i | ||||
\(28\) | −0.142315 | − | 0.989821i | −0.0268950 | − | 0.187059i | ||||
\(29\) | −7.47158 | − | 4.80169i | −1.38744 | − | 0.891652i | −0.387889 | − | 0.921706i | \(-0.626796\pi\) |
−0.999548 | + | 0.0300543i | \(0.990432\pi\) | |||||||
\(30\) | −2.09428 | + | 4.58583i | −0.382361 | + | 0.837254i | ||||
\(31\) | 3.71898 | − | 4.29193i | 0.667948 | − | 0.770854i | −0.316105 | − | 0.948724i | \(-0.602375\pi\) |
0.984054 | + | 0.177870i | \(0.0569208\pi\) | |||||||
\(32\) | −0.142315 | + | 0.989821i | −0.0251579 | + | 0.174977i | ||||
\(33\) | 1.54400 | + | 3.38090i | 0.268777 | + | 0.588539i | ||||
\(34\) | −3.98657 | − | 1.17056i | −0.683691 | − | 0.200750i | ||||
\(35\) | −1.43161 | − | 0.420359i | −0.241986 | − | 0.0710536i | ||||
\(36\) | 3.49639 | + | 7.65603i | 0.582732 | + | 1.27601i | ||||
\(37\) | 1.17774 | − | 8.19133i | 0.193619 | − | 1.34665i | −0.628713 | − | 0.777638i | \(-0.716418\pi\) |
0.822331 | − | 0.569009i | \(-0.192673\pi\) | |||||||
\(38\) | 0.926383 | − | 1.06910i | 0.150279 | − | 0.173431i | ||||
\(39\) | −3.91473 | + | 8.57207i | −0.626859 | + | 1.37263i | ||||
\(40\) | 1.25519 | + | 0.806663i | 0.198463 | + | 0.127545i | ||||
\(41\) | −0.816490 | − | 5.67881i | −0.127514 | − | 0.886881i | −0.948690 | − | 0.316207i | \(-0.897591\pi\) |
0.821176 | − | 0.570675i | \(-0.193318\pi\) | |||||||
\(42\) | −2.84247 | + | 1.82674i | −0.438603 | + | 0.281873i | ||||
\(43\) | 7.23064 | + | 8.34460i | 1.10266 | + | 1.27254i | 0.959152 | + | 0.282891i | \(0.0912934\pi\) |
0.143510 | + | 0.989649i | \(0.454161\pi\) | |||||||
\(44\) | 1.05545 | − | 0.309909i | 0.159116 | − | 0.0467206i | ||||
\(45\) | 12.5580 | 1.87204 | ||||||||
\(46\) | 4.69211 | − | 0.992013i | 0.691814 | − | 0.146264i | ||||
\(47\) | −0.764916 | −0.111575 | −0.0557873 | − | 0.998443i | \(-0.517767\pi\) | ||||
−0.0557873 | + | 0.998443i | \(0.517767\pi\) | |||||||
\(48\) | 3.24198 | − | 0.951932i | 0.467940 | − | 0.137400i | ||||
\(49\) | −0.654861 | − | 0.755750i | −0.0935515 | − | 0.107964i | ||||
\(50\) | −2.33346 | + | 1.49962i | −0.330001 | + | 0.212079i | ||||
\(51\) | 1.99791 | + | 13.8958i | 0.279764 | + | 1.94580i | ||||
\(52\) | 2.34627 | + | 1.50786i | 0.325369 | + | 0.209102i | ||||
\(53\) | 0.307454 | − | 0.673230i | 0.0422320 | − | 0.0924752i | −0.887340 | − | 0.461116i | \(-0.847449\pi\) |
0.929572 | + | 0.368640i | \(0.120177\pi\) | |||||||
\(54\) | 11.9852 | − | 13.8317i | 1.63098 | − | 1.88226i | ||||
\(55\) | 0.233577 | − | 1.62457i | 0.0314956 | − | 0.219056i | ||||
\(56\) | 0.415415 | + | 0.909632i | 0.0555122 | + | 0.121555i | ||||
\(57\) | −4.58619 | − | 1.34663i | −0.607456 | − | 0.178365i | ||||
\(58\) | 8.52172 | + | 2.50220i | 1.11896 | + | 0.328555i | ||||
\(59\) | −4.37255 | − | 9.57454i | −0.569257 | − | 1.24650i | −0.947192 | − | 0.320667i | \(-0.896093\pi\) |
0.377935 | − | 0.925832i | \(-0.376634\pi\) | |||||||
\(60\) | 0.717467 | − | 4.99010i | 0.0926246 | − | 0.644219i | ||||
\(61\) | 5.00517 | − | 5.77628i | 0.640847 | − | 0.739576i | −0.338678 | − | 0.940902i | \(-0.609980\pi\) |
0.979524 | + | 0.201326i | \(0.0645251\pi\) | |||||||
\(62\) | −2.35916 | + | 5.16584i | −0.299613 | + | 0.656062i | ||||
\(63\) | 7.08052 | + | 4.55037i | 0.892061 | + | 0.573293i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | 3.50075 | − | 2.24979i | 0.434214 | − | 0.279053i | ||||
\(66\) | −2.43397 | − | 2.80895i | −0.299601 | − | 0.345758i | ||||
\(67\) | −2.44665 | + | 0.718401i | −0.298906 | + | 0.0877667i | −0.427747 | − | 0.903899i | \(-0.640693\pi\) |
0.128841 | + | 0.991665i | \(0.458874\pi\) | |||||||
\(68\) | 4.15487 | 0.503852 | ||||||||
\(69\) | −9.63493 | − | 13.0288i | −1.15991 | − | 1.56849i | ||||
\(70\) | 1.49205 | 0.178334 | ||||||||
\(71\) | −6.38134 | + | 1.87373i | −0.757326 | + | 0.222371i | −0.637528 | − | 0.770427i | \(-0.720043\pi\) |
−0.119798 | + | 0.992798i | \(0.538225\pi\) | |||||||
\(72\) | −5.51172 | − | 6.36086i | −0.649562 | − | 0.749635i | ||||
\(73\) | −2.62668 | + | 1.68807i | −0.307430 | + | 0.197573i | −0.685254 | − | 0.728304i | \(-0.740309\pi\) |
0.377824 | + | 0.925877i | \(0.376672\pi\) | |||||||
\(74\) | 1.17774 | + | 8.19133i | 0.136909 | + | 0.952223i | ||||
\(75\) | 7.88441 | + | 5.06700i | 0.910414 | + | 0.585087i | ||||
\(76\) | −0.587657 | + | 1.28679i | −0.0674089 | + | 0.147605i | ||||
\(77\) | 0.720355 | − | 0.831333i | 0.0820920 | − | 0.0947392i | ||||
\(78\) | 1.34113 | − | 9.32774i | 0.151853 | − | 1.05616i | ||||
\(79\) | 1.79853 | + | 3.93823i | 0.202350 | + | 0.443085i | 0.983416 | − | 0.181363i | \(-0.0580510\pi\) |
−0.781066 | + | 0.624449i | \(0.785324\pi\) | |||||||
\(80\) | −1.43161 | − | 0.420359i | −0.160059 | − | 0.0469975i | ||||
\(81\) | −35.1076 | − | 10.3085i | −3.90084 | − | 1.14539i | ||||
\(82\) | 2.38332 | + | 5.21875i | 0.263194 | + | 0.576314i | ||||
\(83\) | 1.53316 | − | 10.6633i | 0.168286 | − | 1.17045i | −0.714140 | − | 0.700003i | \(-0.753182\pi\) |
0.882426 | − | 0.470451i | \(-0.155909\pi\) | |||||||
\(84\) | 2.21268 | − | 2.55356i | 0.241423 | − | 0.278617i | ||||
\(85\) | 2.57527 | − | 5.63905i | 0.279327 | − | 0.611641i | ||||
\(86\) | −9.28869 | − | 5.96948i | −1.00163 | − | 0.643706i | ||||
\(87\) | −4.27075 | − | 29.7037i | −0.457873 | − | 3.18458i | ||||
\(88\) | −0.925389 | + | 0.594711i | −0.0986468 | + | 0.0633964i | ||||
\(89\) | 5.18059 | + | 5.97872i | 0.549141 | + | 0.633743i | 0.960683 | − | 0.277648i | \(-0.0895550\pi\) |
−0.411542 | + | 0.911391i | \(0.635010\pi\) | |||||||
\(90\) | −12.0493 | + | 3.53800i | −1.27011 | + | 0.372938i | ||||
\(91\) | 2.78902 | 0.292368 | ||||||||
\(92\) | −4.22257 | + | 2.27375i | −0.440233 | + | 0.237055i | ||||
\(93\) | 19.1886 | 1.98977 | ||||||||
\(94\) | 0.733932 | − | 0.215502i | 0.0756993 | − | 0.0222273i | ||||
\(95\) | 1.38221 | + | 1.59515i | 0.141812 | + | 0.163659i | ||||
\(96\) | −2.84247 | + | 1.82674i | −0.290108 | + | 0.186441i | ||||
\(97\) | −0.915675 | − | 6.36866i | −0.0929727 | − | 0.646640i | −0.982013 | − | 0.188811i | \(-0.939537\pi\) |
0.889041 | − | 0.457828i | \(-0.151373\pi\) | |||||||
\(98\) | 0.841254 | + | 0.540641i | 0.0849794 | + | 0.0546130i | ||||
\(99\) | −3.84607 | + | 8.42173i | −0.386545 | + | 0.846415i | ||||
\(100\) | 1.81645 | − | 2.09629i | 0.181645 | − | 0.209629i | ||||
\(101\) | −1.50296 | + | 10.4533i | −0.149550 | + | 1.04015i | 0.767407 | + | 0.641160i | \(0.221547\pi\) |
−0.916957 | + | 0.398985i | \(0.869363\pi\) | |||||||
\(102\) | −5.83188 | − | 12.7700i | −0.577442 | − | 1.26442i | ||||
\(103\) | −11.4094 | − | 3.35012i | −1.12421 | − | 0.330097i | −0.333778 | − | 0.942652i | \(-0.608324\pi\) |
−0.790428 | + | 0.612555i | \(0.790142\pi\) | |||||||
\(104\) | −2.67604 | − | 0.785756i | −0.262407 | − | 0.0770497i | ||||
\(105\) | −2.09428 | − | 4.58583i | −0.204381 | − | 0.447531i | ||||
\(106\) | −0.105329 | + | 0.732579i | −0.0102305 | + | 0.0711544i | ||||
\(107\) | 5.27302 | − | 6.08539i | 0.509762 | − | 0.588297i | −0.441276 | − | 0.897372i | \(-0.645474\pi\) |
0.951038 | + | 0.309075i | \(0.100019\pi\) | |||||||
\(108\) | −7.60291 | + | 16.6481i | −0.731591 | + | 1.60196i | ||||
\(109\) | 10.6880 | + | 6.86875i | 1.02372 | + | 0.657907i | 0.940909 | − | 0.338658i | \(-0.109973\pi\) |
0.0828134 | + | 0.996565i | \(0.473609\pi\) | |||||||
\(110\) | 0.233577 | + | 1.62457i | 0.0222707 | + | 0.154896i | ||||
\(111\) | 23.5230 | − | 15.1173i | 2.23271 | − | 1.43487i | ||||
\(112\) | −0.654861 | − | 0.755750i | −0.0618785 | − | 0.0714116i | ||||
\(113\) | 16.5971 | − | 4.87336i | 1.56133 | − | 0.458447i | 0.616865 | − | 0.787069i | \(-0.288402\pi\) |
0.944462 | + | 0.328622i | \(0.106584\pi\) | |||||||
\(114\) | 4.77981 | 0.447670 | ||||||||
\(115\) | 0.468740 | + | 7.14025i | 0.0437103 | + | 0.665831i | ||||
\(116\) | −8.88148 | −0.824625 | ||||||||
\(117\) | −22.5232 | + | 6.61342i | −2.08227 | + | 0.611411i | ||||
\(118\) | 6.89289 | + | 7.95482i | 0.634542 | + | 0.732300i | ||||
\(119\) | 3.49530 | − | 2.24629i | 0.320413 | − | 0.205917i | ||||
\(120\) | 0.717467 | + | 4.99010i | 0.0654955 | + | 0.455531i | ||||
\(121\) | −8.23585 | − | 5.29286i | −0.748714 | − | 0.481169i | ||||
\(122\) | −3.17506 | + | 6.95242i | −0.287457 | + | 0.629442i | ||||
\(123\) | 12.6946 | − | 14.6503i | 1.14463 | − | 1.32098i | ||||
\(124\) | 0.808212 | − | 5.62123i | 0.0725795 | − | 0.504802i | ||||
\(125\) | −4.81835 | − | 10.5507i | −0.430966 | − | 0.943684i | ||||
\(126\) | −8.07569 | − | 2.37124i | −0.719440 | − | 0.211247i | ||||
\(127\) | 6.25714 | + | 1.83726i | 0.555232 | + | 0.163031i | 0.547298 | − | 0.836938i | \(-0.315656\pi\) |
0.00793372 | + | 0.999969i | \(0.497475\pi\) | |||||||
\(128\) | 0.415415 | + | 0.909632i | 0.0367178 | + | 0.0804009i | ||||
\(129\) | −5.30942 | + | 36.9278i | −0.467468 | + | 3.25131i | ||||
\(130\) | −2.72510 | + | 3.14494i | −0.239007 | + | 0.275829i | ||||
\(131\) | −4.90645 | + | 10.7436i | −0.428678 | + | 0.938674i | 0.564861 | + | 0.825186i | \(0.308930\pi\) |
−0.993539 | + | 0.113488i | \(0.963798\pi\) | |||||||
\(132\) | 3.12675 | + | 2.00944i | 0.272149 | + | 0.174899i | ||||
\(133\) | 0.201322 | + | 1.40023i | 0.0174569 | + | 0.121415i | ||||
\(134\) | 2.14515 | − | 1.37860i | 0.185312 | − | 0.119093i | ||||
\(135\) | 17.8826 | + | 20.6376i | 1.53909 | + | 1.77620i | ||||
\(136\) | −3.98657 | + | 1.17056i | −0.341845 | + | 0.100375i | ||||
\(137\) | −18.3082 | −1.56418 | −0.782090 | − | 0.623166i | \(-0.785846\pi\) | ||||
−0.782090 | + | 0.623166i | \(0.785846\pi\) | |||||||
\(138\) | 12.9153 | + | 9.78660i | 1.09942 | + | 0.833091i | ||||
\(139\) | −7.13208 | −0.604935 | −0.302467 | − | 0.953160i | \(-0.597810\pi\) | ||||
−0.302467 | + | 0.953160i | \(0.597810\pi\) | |||||||
\(140\) | −1.43161 | + | 0.420359i | −0.120993 | + | 0.0355268i | ||||
\(141\) | −1.69251 | − | 1.95326i | −0.142535 | − | 0.164494i | ||||
\(142\) | 5.59496 | − | 3.59566i | 0.469519 | − | 0.301741i | ||||
\(143\) | 0.436615 | + | 3.03672i | 0.0365116 | + | 0.253943i | ||||
\(144\) | 7.08052 | + | 4.55037i | 0.590043 | + | 0.379198i | ||||
\(145\) | −5.50492 | + | 12.0541i | −0.457158 | + | 1.00104i | ||||
\(146\) | 2.04470 | − | 2.35971i | 0.169221 | − | 0.195291i | ||||
\(147\) | 0.480860 | − | 3.34446i | 0.0396607 | − | 0.275846i | ||||
\(148\) | −3.43779 | − | 7.52772i | −0.282585 | − | 0.618775i | ||||
\(149\) | 0.657972 | + | 0.193198i | 0.0539032 | + | 0.0158274i | 0.308573 | − | 0.951201i | \(-0.400149\pi\) |
−0.254670 | + | 0.967028i | \(0.581967\pi\) | |||||||
\(150\) | −8.99258 | − | 2.64046i | −0.734241 | − | 0.215593i | ||||
\(151\) | 6.57269 | + | 14.3922i | 0.534878 | + | 1.17122i | 0.963493 | + | 0.267733i | \(0.0862744\pi\) |
−0.428615 | + | 0.903487i | \(0.640998\pi\) | |||||||
\(152\) | 0.201322 | − | 1.40023i | 0.0163294 | − | 0.113573i | ||||
\(153\) | −22.9005 | + | 26.4285i | −1.85139 | + | 2.13662i | ||||
\(154\) | −0.456961 | + | 1.00061i | −0.0368230 | + | 0.0806311i | ||||
\(155\) | −7.12828 | − | 4.58107i | −0.572557 | − | 0.367960i | ||||
\(156\) | 1.34113 | + | 9.32774i | 0.107376 | + | 0.746817i | ||||
\(157\) | 12.9323 | − | 8.31107i | 1.03211 | − | 0.663296i | 0.0890855 | − | 0.996024i | \(-0.471606\pi\) |
0.943023 | + | 0.332728i | \(0.107969\pi\) | |||||||
\(158\) | −2.83520 | − | 3.27200i | −0.225556 | − | 0.260306i | ||||
\(159\) | 2.39943 | − | 0.704537i | 0.190287 | − | 0.0558734i | ||||
\(160\) | 1.49205 | 0.117957 | ||||||||
\(161\) | −2.32297 | + | 4.19569i | −0.183075 | + | 0.330667i | ||||
\(162\) | 36.5897 | 2.87476 | ||||||||
\(163\) | 14.0589 | − | 4.12807i | 1.10118 | − | 0.323336i | 0.319859 | − | 0.947465i | \(-0.396364\pi\) |
0.781321 | + | 0.624129i | \(0.214546\pi\) | |||||||
\(164\) | −3.75707 | − | 4.33589i | −0.293378 | − | 0.338576i | ||||
\(165\) | 4.66526 | − | 2.99818i | 0.363190 | − | 0.233408i | ||||
\(166\) | 1.53316 | + | 10.6633i | 0.118996 | + | 0.827636i | ||||
\(167\) | 4.49165 | + | 2.88661i | 0.347574 | + | 0.223372i | 0.702766 | − | 0.711421i | \(-0.251948\pi\) |
−0.355192 | + | 0.934793i | \(0.615584\pi\) | |||||||
\(168\) | −1.40362 | + | 3.07351i | −0.108292 | + | 0.237126i | ||||
\(169\) | 3.41929 | − | 3.94607i | 0.263022 | − | 0.303544i | ||||
\(170\) | −0.882248 | + | 6.13617i | −0.0676653 | + | 0.470623i | ||||
\(171\) | −4.94609 | − | 10.8304i | −0.378237 | − | 0.828223i | ||||
\(172\) | 10.5942 | + | 3.11075i | 0.807803 | + | 0.237192i | ||||
\(173\) | −8.67612 | − | 2.54754i | −0.659633 | − | 0.193686i | −0.0652515 | − | 0.997869i | \(-0.520785\pi\) |
−0.594382 | + | 0.804183i | \(0.702603\pi\) | |||||||
\(174\) | 12.4663 | + | 27.2973i | 0.945066 | + | 2.06940i | ||||
\(175\) | 0.394751 | − | 2.74556i | 0.0298404 | − | 0.207545i | ||||
\(176\) | 0.720355 | − | 0.831333i | 0.0542988 | − | 0.0626641i | ||||
\(177\) | 14.7742 | − | 32.3509i | 1.11050 | − | 2.43165i | ||||
\(178\) | −6.65513 | − | 4.27700i | −0.498823 | − | 0.320574i | ||||
\(179\) | 2.32587 | + | 16.1768i | 0.173844 | + | 1.20911i | 0.870670 | + | 0.491868i | \(0.163686\pi\) |
−0.696826 | + | 0.717240i | \(0.745405\pi\) | |||||||
\(180\) | 10.5645 | − | 6.78938i | 0.787430 | − | 0.506050i | ||||
\(181\) | −16.6960 | − | 19.2682i | −1.24100 | − | 1.43219i | −0.862087 | − | 0.506761i | \(-0.830843\pi\) |
−0.378915 | − | 0.925431i | \(-0.623703\pi\) | |||||||
\(182\) | −2.67604 | + | 0.785756i | −0.198361 | + | 0.0582441i | ||||
\(183\) | 25.8249 | 1.90903 | ||||||||
\(184\) | 3.41093 | − | 3.37128i | 0.251457 | − | 0.248534i | ||||
\(185\) | −12.3475 | −0.907810 | ||||||||
\(186\) | −18.4113 | + | 5.40606i | −1.34999 | + | 0.396391i | ||||
\(187\) | 2.99298 | + | 3.45408i | 0.218868 | + | 0.252587i | ||||
\(188\) | −0.643489 | + | 0.413545i | −0.0469312 | + | 0.0301609i | ||||
\(189\) | 2.60464 | + | 18.1157i | 0.189460 | + | 1.31772i | ||||
\(190\) | −1.77563 | − | 1.14113i | −0.128817 | − | 0.0827860i | ||||
\(191\) | −6.36188 | + | 13.9306i | −0.460329 | + | 1.00798i | 0.527083 | + | 0.849814i | \(0.323286\pi\) |
−0.987412 | + | 0.158167i | \(0.949442\pi\) | |||||||
\(192\) | 2.21268 | − | 2.55356i | 0.159686 | − | 0.184288i | ||||
\(193\) | −2.20537 | + | 15.3387i | −0.158746 | + | 1.10410i | 0.742201 | + | 0.670177i | \(0.233782\pi\) |
−0.900948 | + | 0.433928i | \(0.857127\pi\) | |||||||
\(194\) | 2.67284 | + | 5.85271i | 0.191899 | + | 0.420200i | ||||
\(195\) | 13.4910 | + | 3.96132i | 0.966112 | + | 0.283676i | ||||
\(196\) | −0.959493 | − | 0.281733i | −0.0685352 | − | 0.0201238i | ||||
\(197\) | −0.595792 | − | 1.30460i | −0.0424484 | − | 0.0929491i | 0.887220 | − | 0.461347i | \(-0.152634\pi\) |
−0.929668 | + | 0.368398i | \(0.879906\pi\) | |||||||
\(198\) | 1.31761 | − | 9.16415i | 0.0936382 | − | 0.651268i | ||||
\(199\) | −12.1950 | + | 14.0737i | −0.864479 | + | 0.997661i | 0.135498 | + | 0.990778i | \(0.456737\pi\) |
−0.999976 | + | 0.00688374i | \(0.997809\pi\) | |||||||
\(200\) | −1.15227 | + | 2.52313i | −0.0814781 | + | 0.178412i | ||||
\(201\) | −7.24813 | − | 4.65809i | −0.511243 | − | 0.328556i | ||||
\(202\) | −1.50296 | − | 10.4533i | −0.105748 | − | 0.735494i | ||||
\(203\) | −7.47158 | + | 4.80169i | −0.524402 | + | 0.337013i | ||||
\(204\) | 9.19338 | + | 10.6097i | 0.643665 | + | 0.742829i | ||||
\(205\) | −8.21345 | + | 2.41169i | −0.573652 | + | 0.168439i | ||||
\(206\) | 11.8911 | 0.828493 | ||||||||
\(207\) | 8.81058 | − | 39.3914i | 0.612378 | − | 2.73789i | ||||
\(208\) | 2.78902 | 0.193383 | ||||||||
\(209\) | −1.49307 | + | 0.438405i | −0.103278 | + | 0.0303251i | ||||
\(210\) | 3.30142 | + | 3.81004i | 0.227820 | + | 0.262918i | ||||
\(211\) | −13.7004 | + | 8.80469i | −0.943172 | + | 0.606140i | −0.919293 | − | 0.393575i | \(-0.871238\pi\) |
−0.0238795 | + | 0.999715i | \(0.507602\pi\) | |||||||
\(212\) | −0.105329 | − | 0.732579i | −0.00723402 | − | 0.0503137i | ||||
\(213\) | −18.9045 | − | 12.1492i | −1.29532 | − | 0.832450i | ||||
\(214\) | −3.34497 | + | 7.32447i | −0.228658 | + | 0.500690i | ||||
\(215\) | 10.7885 | − | 12.4506i | 0.735767 | − | 0.849121i | ||||
\(216\) | 2.60464 | − | 18.1157i | 0.177223 | − | 1.23262i | ||||
\(217\) | −2.35916 | − | 5.16584i | −0.160150 | − | 0.350680i | ||||
\(218\) | −12.1902 | − | 3.57936i | −0.825624 | − | 0.242425i | ||||
\(219\) | −10.1226 | − | 2.97226i | −0.684021 | − | 0.200847i | ||||
\(220\) | −0.681809 | − | 1.49295i | −0.0459675 | − | 0.100655i | ||||
\(221\) | −1.64914 | + | 11.4700i | −0.110933 | + | 0.771559i | ||||
\(222\) | −18.3111 | + | 21.1322i | −1.22896 | + | 1.41830i | ||||
\(223\) | −3.88003 | + | 8.49607i | −0.259826 | + | 0.568939i | −0.993920 | − | 0.110109i | \(-0.964880\pi\) |
0.734094 | + | 0.679048i | \(0.237607\pi\) | |||||||
\(224\) | 0.841254 | + | 0.540641i | 0.0562086 | + | 0.0361231i | ||||
\(225\) | 3.32248 | + | 23.1083i | 0.221498 | + | 1.54056i | ||||
\(226\) | −14.5518 | + | 9.35191i | −0.967975 | + | 0.622079i | ||||
\(227\) | −7.43420 | − | 8.57953i | −0.493425 | − | 0.569443i | 0.453352 | − | 0.891331i | \(-0.350228\pi\) |
−0.946778 | + | 0.321888i | \(0.895683\pi\) | |||||||
\(228\) | −4.58619 | + | 1.34663i | −0.303728 | + | 0.0891826i | ||||
\(229\) | −9.51259 | −0.628609 | −0.314305 | − | 0.949322i | \(-0.601771\pi\) | ||||
−0.314305 | + | 0.949322i | \(0.601771\pi\) | |||||||
\(230\) | −2.46139 | − | 6.71896i | −0.162299 | − | 0.443035i | ||||
\(231\) | 3.71677 | 0.244546 | ||||||||
\(232\) | 8.52172 | − | 2.50220i | 0.559478 | − | 0.164278i | ||||
\(233\) | −6.07878 | − | 7.01528i | −0.398234 | − | 0.459586i | 0.520850 | − | 0.853648i | \(-0.325615\pi\) |
−0.919084 | + | 0.394062i | \(0.871070\pi\) | |||||||
\(234\) | 19.7477 | − | 12.6911i | 1.29095 | − | 0.829640i | ||||
\(235\) | 0.162423 | + | 1.12968i | 0.0105953 | + | 0.0736919i | ||||
\(236\) | −8.85481 | − | 5.69064i | −0.576399 | − | 0.370429i | ||||
\(237\) | −6.07696 | + | 13.3067i | −0.394741 | + | 0.864361i | ||||
\(238\) | −2.72086 | + | 3.14004i | −0.176367 | + | 0.203539i | ||||
\(239\) | 0.839416 | − | 5.83827i | 0.0542973 | − | 0.377646i | −0.944495 | − | 0.328524i | \(-0.893449\pi\) |
0.998793 | − | 0.0491217i | \(-0.0156422\pi\) | |||||||
\(240\) | −2.09428 | − | 4.58583i | −0.135185 | − | 0.296014i | ||||
\(241\) | −11.1659 | − | 3.27860i | −0.719258 | − | 0.211193i | −0.0984343 | − | 0.995144i | \(-0.531383\pi\) |
−0.620823 | + | 0.783950i | \(0.713202\pi\) | |||||||
\(242\) | 9.39341 | + | 2.75815i | 0.603831 | + | 0.177301i | ||||
\(243\) | −28.5495 | − | 62.5147i | −1.83145 | − | 4.01032i | ||||
\(244\) | 1.08773 | − | 7.56531i | 0.0696346 | − | 0.484320i | ||||
\(245\) | −0.977084 | + | 1.12762i | −0.0624236 | + | 0.0720407i | ||||
\(246\) | −8.05289 | + | 17.6334i | −0.513433 | + | 1.12426i | ||||
\(247\) | −3.31909 | − | 2.13305i | −0.211189 | − | 0.135723i | ||||
\(248\) | 0.808212 | + | 5.62123i | 0.0513215 | + | 0.356949i | ||||
\(249\) | 30.6219 | − | 19.6795i | 1.94058 | − | 1.24714i | ||||
\(250\) | 7.59565 | + | 8.76584i | 0.480391 | + | 0.554401i | ||||
\(251\) | −11.2997 | + | 3.31788i | −0.713228 | + | 0.209423i | −0.618165 | − | 0.786049i | \(-0.712124\pi\) |
−0.0950633 | + | 0.995471i | \(0.530305\pi\) | |||||||
\(252\) | 8.41663 | 0.530198 | ||||||||
\(253\) | −4.93199 | − | 1.87245i | −0.310071 | − | 0.117720i | ||||
\(254\) | −6.52130 | −0.409183 | ||||||||
\(255\) | 20.0979 | − | 5.90128i | 1.25858 | − | 0.369553i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 6.13434 | − | 3.94230i | 0.382650 | − | 0.245914i | −0.335148 | − | 0.942165i | \(-0.608786\pi\) |
0.717798 | + | 0.696251i | \(0.245150\pi\) | |||||||
\(258\) | −5.30942 | − | 36.9278i | −0.330550 | − | 2.29902i | ||||
\(259\) | −6.96185 | − | 4.47411i | −0.432588 | − | 0.278008i | ||||
\(260\) | 1.72869 | − | 3.78529i | 0.107209 | − | 0.234754i | ||||
\(261\) | 48.9522 | − | 56.4939i | 3.03007 | − | 3.49688i | ||||
\(262\) | 1.68087 | − | 11.6907i | 0.103845 | − | 0.722256i | ||||
\(263\) | 11.1061 | + | 24.3190i | 0.684832 | + | 1.49957i | 0.857441 | + | 0.514582i | \(0.172053\pi\) |
−0.172609 | + | 0.984990i | \(0.555220\pi\) | |||||||
\(264\) | −3.56622 | − | 1.04714i | −0.219486 | − | 0.0644468i | ||||
\(265\) | −1.05955 | − | 0.311113i | −0.0650878 | − | 0.0191115i | ||||
\(266\) | −0.587657 | − | 1.28679i | −0.0360316 | − | 0.0788981i | ||||
\(267\) | −3.80407 | + | 26.4579i | −0.232806 | + | 1.61920i | ||||
\(268\) | −1.66986 | + | 1.92712i | −0.102003 | + | 0.117717i | ||||
\(269\) | 4.11522 | − | 9.01108i | 0.250910 | − | 0.549415i | −0.741705 | − | 0.670726i | \(-0.765983\pi\) |
0.992615 | + | 0.121311i | \(0.0387098\pi\) | |||||||
\(270\) | −22.9725 | − | 14.7635i | −1.39806 | − | 0.898479i | ||||
\(271\) | 2.66740 | + | 18.5522i | 0.162033 | + | 1.12696i | 0.894795 | + | 0.446478i | \(0.147322\pi\) |
−0.732762 | + | 0.680485i | \(0.761769\pi\) | |||||||
\(272\) | 3.49530 | − | 2.24629i | 0.211934 | − | 0.136201i | ||||
\(273\) | 6.17119 | + | 7.12193i | 0.373497 | + | 0.431039i | ||||
\(274\) | 17.5666 | − | 5.15803i | 1.06124 | − | 0.311608i | ||||
\(275\) | 3.05120 | 0.183994 | ||||||||
\(276\) | −15.1493 | − | 5.75152i | −0.911883 | − | 0.346201i | ||||
\(277\) | −15.1351 | −0.909382 | −0.454691 | − | 0.890649i | \(-0.650250\pi\) | ||||
−0.454691 | + | 0.890649i | \(0.650250\pi\) | |||||||
\(278\) | 6.84318 | − | 2.00934i | 0.410427 | − | 0.120512i | ||||
\(279\) | 31.3013 | + | 36.1236i | 1.87396 | + | 2.16266i | ||||
\(280\) | 1.25519 | − | 0.806663i | 0.0750120 | − | 0.0482073i | ||||
\(281\) | 1.60683 | + | 11.1757i | 0.0958552 | + | 0.666687i | 0.979930 | + | 0.199342i | \(0.0638804\pi\) |
−0.884075 | + | 0.467345i | \(0.845210\pi\) | |||||||
\(282\) | 2.17425 | + | 1.39731i | 0.129475 | + | 0.0832084i | ||||
\(283\) | 3.66052 | − | 8.01542i | 0.217595 | − | 0.476467i | −0.769083 | − | 0.639148i | \(-0.779287\pi\) |
0.986679 | + | 0.162681i | \(0.0520142\pi\) | |||||||
\(284\) | −4.35531 | + | 5.02630i | −0.258440 | + | 0.298256i | ||||
\(285\) | −1.01495 | + | 7.05912i | −0.0601203 | + | 0.418146i | ||||
\(286\) | −1.27447 | − | 2.79070i | −0.0753611 | − | 0.165018i | ||||
\(287\) | −5.50481 | − | 1.61636i | −0.324939 | − | 0.0954106i | ||||
\(288\) | −8.07569 | − | 2.37124i | −0.475865 | − | 0.139727i | ||||
\(289\) | 0.109227 | + | 0.239175i | 0.00642514 | + | 0.0140691i | ||||
\(290\) | 1.88590 | − | 13.1167i | 0.110744 | − | 0.770241i | ||||
\(291\) | 14.2367 | − | 16.4300i | 0.834570 | − | 0.963145i | ||||
\(292\) | −1.29707 | + | 2.84019i | −0.0759053 | + | 0.166209i | ||||
\(293\) | 13.6619 | + | 8.77999i | 0.798139 | + | 0.512933i | 0.875008 | − | 0.484109i | \(-0.160856\pi\) |
−0.0768693 | + | 0.997041i | \(0.524492\pi\) | |||||||
\(294\) | 0.480860 | + | 3.34446i | 0.0280444 | + | 0.195053i | ||||
\(295\) | −13.2118 | + | 8.49071i | −0.769221 | + | 0.494348i | ||||
\(296\) | 5.41934 | + | 6.25426i | 0.314993 | + | 0.363521i | ||||
\(297\) | −19.3169 | + | 5.67195i | −1.12088 | + | 0.329120i | ||||
\(298\) | −0.685750 | −0.0397244 | ||||||||
\(299\) | −4.60096 | − | 12.5594i | −0.266081 | − | 0.726330i | ||||
\(300\) | 9.37222 | 0.541105 | ||||||||
\(301\) | 10.5942 | − | 3.11075i | 0.610641 | − | 0.179300i | ||||
\(302\) | −10.3612 | − | 11.9575i | −0.596220 | − | 0.688075i | ||||
\(303\) | −30.0188 | + | 19.2919i | −1.72454 | + | 1.10829i | ||||
\(304\) | 0.201322 | + | 1.40023i | 0.0115466 | + | 0.0803085i | ||||
\(305\) | −9.59357 | − | 6.16541i | −0.549326 | − | 0.353030i | ||||
\(306\) | 14.5271 | − | 31.8098i | 0.830456 | − | 1.81845i | ||||
\(307\) | −18.5539 | + | 21.4123i | −1.05892 | + | 1.22206i | −0.0847180 | + | 0.996405i | \(0.526999\pi\) |
−0.974206 | + | 0.225659i | \(0.927547\pi\) | |||||||
\(308\) | 0.156548 | − | 1.08882i | 0.00892015 | − | 0.0620410i | ||||
\(309\) | −16.6907 | − | 36.5475i | −0.949499 | − | 2.07911i | ||||
\(310\) | 8.13017 | + | 2.38723i | 0.461763 | + | 0.135586i | ||||
\(311\) | 13.2049 | + | 3.87732i | 0.748783 | + | 0.219862i | 0.633791 | − | 0.773504i | \(-0.281498\pi\) |
0.114991 | + | 0.993366i | \(0.463316\pi\) | |||||||
\(312\) | −3.91473 | − | 8.57207i | −0.221628 | − | 0.485298i | ||||
\(313\) | 1.24023 | − | 8.62596i | 0.0701017 | − | 0.487568i | −0.924280 | − | 0.381715i | \(-0.875334\pi\) |
0.994382 | − | 0.105853i | \(-0.0337574\pi\) | |||||||
\(314\) | −10.0669 | + | 11.6179i | −0.568110 | + | 0.655634i | ||||
\(315\) | 5.21679 | − | 11.4232i | 0.293933 | − | 0.643623i | ||||
\(316\) | 3.64218 | + | 2.34069i | 0.204889 | + | 0.131674i | ||||
\(317\) | 3.50519 | + | 24.3792i | 0.196871 | + | 1.36927i | 0.813293 | + | 0.581854i | \(0.197672\pi\) |
−0.616422 | + | 0.787416i | \(0.711419\pi\) | |||||||
\(318\) | −2.10375 | + | 1.35200i | −0.117972 | + | 0.0758162i | ||||
\(319\) | −6.39782 | − | 7.38347i | −0.358209 | − | 0.413395i | ||||
\(320\) | −1.43161 | + | 0.420359i | −0.0800295 | + | 0.0234988i | ||||
\(321\) | 27.2069 | 1.51854 | ||||||||
\(322\) | 1.04681 | − | 4.68019i | 0.0583363 | − | 0.260817i | ||||
\(323\) | −5.87758 | −0.327038 | ||||||||
\(324\) | −35.1076 | + | 10.3085i | −1.95042 | + | 0.572695i | ||||
\(325\) | 5.06610 | + | 5.84659i | 0.281016 | + | 0.324310i | ||||
\(326\) | −12.3264 | + | 7.92172i | −0.682698 | + | 0.438743i | ||||
\(327\) | 6.10925 | + | 42.4908i | 0.337842 | + | 2.34974i | ||||
\(328\) | 4.82645 | + | 3.10177i | 0.266496 | + | 0.171267i | ||||
\(329\) | −0.317758 | + | 0.695792i | −0.0175186 | + | 0.0383603i | ||||
\(330\) | −3.63160 | + | 4.19109i | −0.199913 | + | 0.230712i | ||||
\(331\) | 3.36878 | − | 23.4304i | 0.185165 | − | 1.28785i | −0.659154 | − | 0.752008i | \(-0.729085\pi\) |
0.844319 | − | 0.535841i | \(-0.180006\pi\) | |||||||
\(332\) | −4.47526 | − | 9.79946i | −0.245612 | − | 0.537815i | ||||
\(333\) | 66.8309 | + | 19.6233i | 3.66231 | + | 1.07535i | ||||
\(334\) | −5.12296 | − | 1.50424i | −0.280316 | − | 0.0823081i | ||||
\(335\) | 1.58050 | + | 3.46082i | 0.0863521 | + | 0.189085i | ||||
\(336\) | 0.480860 | − | 3.34446i | 0.0262331 | − | 0.182455i | ||||
\(337\) | 15.4441 | − | 17.8234i | 0.841292 | − | 0.970903i | −0.158572 | − | 0.987347i | \(-0.550689\pi\) |
0.999865 | + | 0.0164442i | \(0.00523458\pi\) | |||||||
\(338\) | −2.16905 | + | 4.74955i | −0.117981 | + | 0.258341i | ||||
\(339\) | 49.1685 | + | 31.5987i | 2.67047 | + | 1.71620i | ||||
\(340\) | −0.882248 | − | 6.13617i | −0.0478466 | − | 0.332780i | ||||
\(341\) | 5.25532 | − | 3.37739i | 0.284591 | − | 0.182896i | ||||
\(342\) | 7.79702 | + | 8.99824i | 0.421615 | + | 0.486569i | ||||
\(343\) | −0.959493 | + | 0.281733i | −0.0518078 | + | 0.0152121i | ||||
\(344\) | −11.0415 | −0.595317 | ||||||||
\(345\) | −17.1959 | + | 16.9960i | −0.925797 | + | 0.915034i | ||||
\(346\) | 9.04240 | 0.486122 | ||||||||
\(347\) | 19.7797 | − | 5.80785i | 1.06183 | − | 0.311782i | 0.296243 | − | 0.955113i | \(-0.404266\pi\) |
0.765588 | + | 0.643331i | \(0.222448\pi\) | |||||||
\(348\) | −19.6518 | − | 22.6794i | −1.05345 | − | 1.21575i | ||||
\(349\) | 1.61881 | − | 1.04035i | 0.0866529 | − | 0.0556884i | −0.496597 | − | 0.867981i | \(-0.665417\pi\) |
0.583250 | + | 0.812293i | \(0.301781\pi\) | |||||||
\(350\) | 0.394751 | + | 2.74556i | 0.0211004 | + | 0.146756i | ||||
\(351\) | −42.9413 | − | 27.5967i | −2.29204 | − | 1.47300i | ||||
\(352\) | −0.456961 | + | 1.00061i | −0.0243561 | + | 0.0533325i | ||||
\(353\) | −14.3637 | + | 16.5766i | −0.764502 | + | 0.882282i | −0.995889 | − | 0.0905793i | \(-0.971128\pi\) |
0.231387 | + | 0.972862i | \(0.425674\pi\) | |||||||
\(354\) | −5.06141 | + | 35.2029i | −0.269011 | + | 1.87101i | ||||
\(355\) | 4.12226 | + | 9.02649i | 0.218787 | + | 0.479076i | ||||
\(356\) | 7.59052 | + | 2.22878i | 0.402297 | + | 0.118125i | ||||
\(357\) | 13.4700 | + | 3.95515i | 0.712909 | + | 0.209329i | ||||
\(358\) | −6.78918 | − | 14.8662i | −0.358819 | − | 0.785704i | ||||
\(359\) | −4.89683 | + | 34.0582i | −0.258445 | + | 1.79752i | 0.285477 | + | 0.958385i | \(0.407848\pi\) |
−0.543922 | + | 0.839136i | \(0.683061\pi\) | |||||||
\(360\) | −8.22375 | + | 9.49072i | −0.433430 | + | 0.500205i | ||||
\(361\) | −7.06157 | + | 15.4627i | −0.371662 | + | 0.813825i | ||||
\(362\) | 21.4481 | + | 13.7839i | 1.12729 | + | 0.724465i | ||||
\(363\) | −4.70761 | − | 32.7422i | −0.247086 | − | 1.71852i | ||||
\(364\) | 2.34627 | − | 1.50786i | 0.122978 | − | 0.0790331i | ||||
\(365\) | 3.05080 | + | 3.52081i | 0.159686 | + | 0.184287i | ||||
\(366\) | −24.7788 | + | 7.27572i | −1.29521 | + | 0.380308i | ||||
\(367\) | −10.8440 | −0.566051 | −0.283026 | − | 0.959112i | \(-0.591338\pi\) | ||||
−0.283026 | + | 0.959112i | \(0.591338\pi\) | |||||||
\(368\) | −2.32297 | + | 4.19569i | −0.121093 | + | 0.218716i | ||||
\(369\) | 48.2879 | 2.51377 | ||||||||
\(370\) | 11.8474 | − | 3.47871i | 0.615916 | − | 0.180849i | ||||
\(371\) | −0.484670 | − | 0.559339i | −0.0251628 | − | 0.0290395i | ||||
\(372\) | 16.1425 | − | 10.3742i | 0.836949 | − | 0.537875i | ||||
\(373\) | −3.85236 | − | 26.7938i | −0.199468 | − | 1.38733i | −0.805833 | − | 0.592142i | \(-0.798282\pi\) |
0.606366 | − | 0.795186i | \(-0.292627\pi\) | |||||||
\(374\) | −3.84487 | − | 2.47095i | −0.198813 | − | 0.127770i | ||||
\(375\) | 16.2805 | − | 35.6493i | 0.840720 | − | 1.84092i | ||||
\(376\) | 0.500914 | − | 0.578085i | 0.0258326 | − | 0.0298125i | ||||
\(377\) | 3.52522 | − | 24.5185i | 0.181558 | − | 1.26276i | ||||
\(378\) | −7.60291 | − | 16.6481i | −0.391052 | − | 0.856284i | ||||
\(379\) | 18.1134 | + | 5.31858i | 0.930424 | + | 0.273197i | 0.711614 | − | 0.702571i | \(-0.247964\pi\) |
0.218810 | + | 0.975768i | \(0.429783\pi\) | |||||||
\(380\) | 2.02519 | + | 0.594650i | 0.103890 | + | 0.0305049i | ||||
\(381\) | 9.15346 | + | 20.0433i | 0.468946 | + | 1.02685i | ||||
\(382\) | 2.17948 | − | 15.1586i | 0.111512 | − | 0.775583i | ||||
\(383\) | 23.0501 | − | 26.6012i | 1.17780 | − | 1.35926i | 0.258355 | − | 0.966050i | \(-0.416820\pi\) |
0.919449 | − | 0.393208i | \(-0.128635\pi\) | |||||||
\(384\) | −1.40362 | + | 3.07351i | −0.0716284 | + | 0.156844i | ||||
\(385\) | −1.38073 | − | 0.887338i | −0.0703683 | − | 0.0452229i | ||||
\(386\) | −2.20537 | − | 15.3387i | −0.112251 | − | 0.780720i | ||||
\(387\) | −78.1795 | + | 50.2429i | −3.97409 | + | 2.55399i | ||||
\(388\) | −4.21347 | − | 4.86261i | −0.213907 | − | 0.246861i | ||||
\(389\) | −0.649667 | + | 0.190760i | −0.0329394 | + | 0.00967189i | −0.298161 | − | 0.954516i | \(-0.596373\pi\) |
0.265221 | + | 0.964188i | \(0.414555\pi\) | |||||||
\(390\) | −14.0606 | −0.711984 | ||||||||
\(391\) | −15.8815 | − | 12.0343i | −0.803164 | − | 0.608600i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | −38.2909 | + | 11.2432i | −1.93152 | + | 0.567145i | ||||
\(394\) | 0.939207 | + | 1.08390i | 0.0473166 | + | 0.0546063i | ||||
\(395\) | 5.43432 | − | 3.49242i | 0.273430 | − | 0.175723i | ||||
\(396\) | 1.31761 | + | 9.16415i | 0.0662122 | + | 0.460516i | ||||
\(397\) | −6.89104 | − | 4.42860i | −0.345852 | − | 0.222265i | 0.356170 | − | 0.934421i | \(-0.384083\pi\) |
−0.702021 | + | 0.712156i | \(0.747719\pi\) | |||||||
\(398\) | 7.73596 | − | 16.9394i | 0.387768 | − | 0.849094i | ||||
\(399\) | −3.13011 | + | 3.61234i | −0.156701 | + | 0.180843i | ||||
\(400\) | 0.394751 | − | 2.74556i | 0.0197376 | − | 0.137278i | ||||
\(401\) | −1.50454 | − | 3.29449i | −0.0751333 | − | 0.164519i | 0.868338 | − | 0.495972i | \(-0.165188\pi\) |
−0.943472 | + | 0.331453i | \(0.892461\pi\) | |||||||
\(402\) | 8.26686 | + | 2.42737i | 0.412314 | + | 0.121066i | ||||
\(403\) | 15.1973 | + | 4.46234i | 0.757033 | + | 0.222285i | ||||
\(404\) | 4.38713 | + | 9.60646i | 0.218268 | + | 0.477939i | ||||
\(405\) | −7.76949 | + | 54.0380i | −0.386069 | + | 2.68517i | ||||
\(406\) | 5.81613 | − | 6.71218i | 0.288650 | − | 0.333120i | ||||
\(407\) | 3.78161 | − | 8.28058i | 0.187448 | − | 0.410453i | ||||
\(408\) | −11.8101 | − | 7.58988i | −0.584686 | − | 0.375755i | ||||
\(409\) | 0.572415 | + | 3.98123i | 0.0283041 | + | 0.196859i | 0.999067 | − | 0.0431799i | \(-0.0137488\pi\) |
−0.970763 | + | 0.240039i | \(0.922840\pi\) | |||||||
\(410\) | 7.20130 | − | 4.62799i | 0.355647 | − | 0.228560i | ||||
\(411\) | −40.5102 | − | 46.7513i | −1.99822 | − | 2.30607i | ||||
\(412\) | −11.4094 | + | 3.35012i | −0.562103 | + | 0.165048i | ||||
\(413\) | −10.5257 | −0.517937 | ||||||||
\(414\) | 2.64416 | + | 40.2780i | 0.129953 | + | 1.97956i | ||||
\(415\) | −16.0738 | −0.789034 | ||||||||
\(416\) | −2.67604 | + | 0.785756i | −0.131204 | + | 0.0385249i | ||||
\(417\) | −15.7810 | − | 18.2122i | −0.772798 | − | 0.891856i | ||||
\(418\) | 1.30908 | − | 0.841294i | 0.0640291 | − | 0.0411490i | ||||
\(419\) | −3.53657 | − | 24.5974i | −0.172773 | − | 1.20166i | −0.872992 | − | 0.487734i | \(-0.837823\pi\) |
0.700219 | − | 0.713928i | \(-0.253086\pi\) | |||||||
\(420\) | −4.24110 | − | 2.72559i | −0.206945 | − | 0.132995i | ||||
\(421\) | −7.18632 | + | 15.7358i | −0.350240 | + | 0.766918i | 0.649737 | + | 0.760159i | \(0.274879\pi\) |
−0.999977 | + | 0.00675930i | \(0.997848\pi\) | |||||||
\(422\) | 10.6648 | − | 12.3079i | 0.519156 | − | 0.599138i | ||||
\(423\) | 0.916225 | − | 6.37249i | 0.0445484 | − | 0.309841i | ||||
\(424\) | 0.307454 | + | 0.673230i | 0.0149313 | + | 0.0326949i | ||||
\(425\) | 11.0579 | + | 3.24689i | 0.536387 | + | 0.157497i | ||||
\(426\) | 21.5616 | + | 6.33106i | 1.04466 | + | 0.306741i | ||||
\(427\) | −3.17506 | − | 6.95242i | −0.153652 | − | 0.336451i | ||||
\(428\) | 1.14594 | − | 7.97016i | 0.0553909 | − | 0.385252i | ||||
\(429\) | −6.78838 | + | 7.83421i | −0.327746 | + | 0.378239i | ||||
\(430\) | −6.84373 | + | 14.9857i | −0.330034 | + | 0.722674i | ||||
\(431\) | 13.7833 | + | 8.85796i | 0.663916 | + | 0.426673i | 0.828728 | − | 0.559652i | \(-0.189065\pi\) |
−0.164812 | + | 0.986325i | \(0.552702\pi\) | |||||||
\(432\) | 2.60464 | + | 18.1157i | 0.125316 | + | 0.871591i | ||||
\(433\) | −10.7191 | + | 6.88874i | −0.515126 | + | 0.331052i | −0.772241 | − | 0.635329i | \(-0.780864\pi\) |
0.257115 | + | 0.966381i | \(0.417228\pi\) | |||||||
\(434\) | 3.71898 | + | 4.29193i | 0.178517 | + | 0.206019i | ||||
\(435\) | −42.9615 | + | 12.6146i | −2.05985 | + | 0.604825i | ||||
\(436\) | 12.7048 | 0.608451 | ||||||||
\(437\) | 5.97335 | − | 3.21651i | 0.285744 | − | 0.153866i | ||||
\(438\) | 10.5499 | 0.504096 | ||||||||
\(439\) | −12.5127 | + | 3.67405i | −0.597197 | + | 0.175353i | −0.566341 | − | 0.824171i | \(-0.691642\pi\) |
−0.0308561 | + | 0.999524i | \(0.509823\pi\) | |||||||
\(440\) | 1.07480 | + | 1.24039i | 0.0512393 | + | 0.0591333i | ||||
\(441\) | 7.08052 | − | 4.55037i | 0.337167 | − | 0.216684i | ||||
\(442\) | −1.64914 | − | 11.4700i | −0.0784417 | − | 0.545574i | ||||
\(443\) | 4.42056 | + | 2.84092i | 0.210027 | + | 0.134976i | 0.641425 | − | 0.767185i | \(-0.278343\pi\) |
−0.431399 | + | 0.902161i | \(0.641980\pi\) | |||||||
\(444\) | 11.6158 | − | 25.4350i | 0.551261 | − | 1.20709i | ||||
\(445\) | 7.72969 | − | 8.92054i | 0.366422 | − | 0.422874i | ||||
\(446\) | 1.32924 | − | 9.24505i | 0.0629412 | − | 0.437766i | ||||
\(447\) | 0.962535 | + | 2.10766i | 0.0455264 | + | 0.0996888i | ||||
\(448\) | −0.959493 | − | 0.281733i | −0.0453318 | − | 0.0133106i | ||||
\(449\) | 37.5468 | + | 11.0247i | 1.77194 | + | 0.520289i | 0.994129 | − | 0.108205i | \(-0.0345103\pi\) |
0.777814 | + | 0.628494i | \(0.216328\pi\) | |||||||
\(450\) | −9.69826 | − | 21.2362i | −0.457180 | − | 1.00109i | ||||
\(451\) | 0.898149 | − | 6.24676i | 0.0422922 | − | 0.294148i | ||||
\(452\) | 11.3277 | − | 13.0728i | 0.532808 | − | 0.614894i | ||||
\(453\) | −22.2081 | + | 48.6291i | −1.04343 | + | 2.28479i | ||||
\(454\) | 9.55020 | + | 6.13754i | 0.448213 | + | 0.288049i | ||||
\(455\) | −0.592221 | − | 4.11899i | −0.0277638 | − | 0.193101i | ||||
\(456\) | 4.02103 | − | 2.58416i | 0.188302 | − | 0.121014i | ||||
\(457\) | −3.26814 | − | 3.77163i | −0.152877 | − | 0.176429i | 0.674145 | − | 0.738599i | \(-0.264512\pi\) |
−0.827022 | + | 0.562170i | \(0.809967\pi\) | |||||||
\(458\) | 9.12726 | − | 2.68001i | 0.426489 | − | 0.125228i | ||||
\(459\) | −76.0423 | −3.54935 | ||||||||
\(460\) | 4.25464 | + | 5.75334i | 0.198374 | + | 0.268251i | ||||
\(461\) | −5.11545 | −0.238250 | −0.119125 | − | 0.992879i | \(-0.538009\pi\) | ||||
−0.119125 | + | 0.992879i | \(0.538009\pi\) | |||||||
\(462\) | −3.56622 | + | 1.04714i | −0.165916 | + | 0.0487172i | ||||
\(463\) | −6.46589 | − | 7.46204i | −0.300495 | − | 0.346790i | 0.585342 | − | 0.810787i | \(-0.300960\pi\) |
−0.885837 | + | 0.463997i | \(0.846415\pi\) | |||||||
\(464\) | −7.47158 | + | 4.80169i | −0.346859 | + | 0.222913i | ||||
\(465\) | −4.07453 | − | 28.3389i | −0.188952 | − | 1.31419i | ||||
\(466\) | 7.80898 | + | 5.01853i | 0.361744 | + | 0.232479i | ||||
\(467\) | −4.17865 | + | 9.14996i | −0.193365 | + | 0.423410i | −0.981336 | − | 0.192303i | \(-0.938404\pi\) |
0.787971 | + | 0.615713i | \(0.211132\pi\) | |||||||
\(468\) | −15.3723 | + | 17.7405i | −0.710583 | + | 0.820057i | ||||
\(469\) | −0.362894 | + | 2.52399i | −0.0167569 | + | 0.116547i | ||||
\(470\) | −0.474110 | − | 1.03816i | −0.0218691 | − | 0.0478866i | ||||
\(471\) | 49.8378 | + | 14.6337i | 2.29640 | + | 0.674285i | ||||
\(472\) | 10.0994 | + | 2.96544i | 0.464861 | + | 0.136495i | ||||
\(473\) | 5.04553 | + | 11.0482i | 0.231994 | + | 0.507996i | ||||
\(474\) | 2.08187 | − | 14.4797i | 0.0956235 | − | 0.665076i | ||||
\(475\) | −2.56959 | + | 2.96547i | −0.117901 | + | 0.136065i | ||||
\(476\) | 1.72599 | − | 3.77940i | 0.0791108 | − | 0.173229i | ||||
\(477\) | 5.24038 | + | 3.36779i | 0.239940 | + | 0.154200i | ||||
\(478\) | 0.839416 | + | 5.83827i | 0.0383940 | + | 0.267036i | ||||
\(479\) | 1.06809 | − | 0.686418i | 0.0488022 | − | 0.0313632i | −0.516012 | − | 0.856581i | \(-0.672584\pi\) |
0.564814 | + | 0.825218i | \(0.308948\pi\) | |||||||
\(480\) | 3.30142 | + | 3.81004i | 0.150689 | + | 0.173904i | ||||
\(481\) | 22.1457 | − | 6.50258i | 1.00976 | − | 0.296492i | ||||
\(482\) | 11.6373 | 0.530063 | ||||||||
\(483\) | −15.8539 | + | 3.35186i | −0.721379 | + | 0.152515i | ||||
\(484\) | −9.78997 | −0.444999 | ||||||||
\(485\) | −9.21120 | + | 2.70465i | −0.418259 | + | 0.122812i | ||||
\(486\) | 45.0055 | + | 51.9391i | 2.04149 | + | 2.35601i | ||||
\(487\) | 5.22673 | − | 3.35902i | 0.236846 | − | 0.152212i | −0.416834 | − | 0.908982i | \(-0.636861\pi\) |
0.653680 | + | 0.756771i | \(0.273224\pi\) | |||||||
\(488\) | 1.08773 | + | 7.56531i | 0.0492391 | + | 0.342466i | ||||
\(489\) | 41.6492 | + | 26.7663i | 1.88344 | + | 1.21041i | ||||
\(490\) | 0.619820 | − | 1.35722i | 0.0280006 | − | 0.0613127i | ||||
\(491\) | −6.52515 | + | 7.53042i | −0.294476 | + | 0.339843i | −0.883637 | − | 0.468172i | \(-0.844913\pi\) |
0.589162 | + | 0.808015i | \(0.299458\pi\) | |||||||
\(492\) | 2.75880 | − | 19.1879i | 0.124376 | − | 0.865055i | ||||
\(493\) | −15.3294 | − | 33.5667i | −0.690401 | − | 1.51177i | ||||
\(494\) | 3.78560 | + | 1.11155i | 0.170322 | + | 0.0500111i | ||||
\(495\) | 13.2544 | + | 3.89184i | 0.595741 | + | 0.174925i | ||||
\(496\) | −2.35916 | − | 5.16584i | −0.105929 | − | 0.231953i | ||||
\(497\) | −0.946499 | + | 6.58305i | −0.0424563 | + | 0.295290i | ||||
\(498\) | −23.8372 | + | 27.5095i | −1.06817 | + | 1.23273i | ||||
\(499\) | −9.35514 | + | 20.4849i | −0.418794 | + | 0.917030i | 0.576220 | + | 0.817294i | \(0.304527\pi\) |
−0.995014 | + | 0.0997356i | \(0.968200\pi\) | |||||||
\(500\) | −9.75759 | − | 6.27083i | −0.436373 | − | 0.280440i | ||||
\(501\) | 2.56743 | + | 17.8568i | 0.114704 | + | 0.797785i | ||||
\(502\) | 9.90719 | − | 6.36696i | 0.442179 | − | 0.284171i | ||||
\(503\) | −7.21771 | − | 8.32969i | −0.321822 | − | 0.371402i | 0.571668 | − | 0.820485i | \(-0.306296\pi\) |
−0.893490 | + | 0.449082i | \(0.851751\pi\) | |||||||
\(504\) | −8.07569 | + | 2.37124i | −0.359720 | + | 0.105623i | ||||
\(505\) | 15.7573 | 0.701189 | ||||||||
\(506\) | 5.25974 | + | 0.407104i | 0.233824 | + | 0.0180980i | ||||
\(507\) | 17.6423 | 0.783522 | ||||||||
\(508\) | 6.25714 | − | 1.83726i | 0.277616 | − | 0.0815154i | ||||
\(509\) | −18.6082 | − | 21.4750i | −0.824792 | − | 0.951861i | 0.174671 | − | 0.984627i | \(-0.444114\pi\) |
−0.999463 | + | 0.0327657i | \(0.989568\pi\) | |||||||
\(510\) | −17.6212 | + | 11.3245i | −0.780281 | + | 0.501456i | ||||
\(511\) | 0.444356 | + | 3.09057i | 0.0196572 | + | 0.136719i | ||||
\(512\) | 0.841254 | + | 0.540641i | 0.0371785 | + | 0.0238932i | ||||
\(513\) | 10.7553 | − | 23.5508i | 0.474857 | − | 1.03979i | ||||
\(514\) | −4.77518 | + | 5.51085i | −0.210624 | + | 0.243073i | ||||
\(515\) | −2.52497 | + | 17.5615i | −0.111263 | + | 0.773854i | ||||
\(516\) | 15.4981 | + | 33.9361i | 0.682266 | + | 1.49395i | ||||
\(517\) | −0.807334 | − | 0.237055i | −0.0355065 | − | 0.0104256i | ||||
\(518\) | 7.94035 | + | 2.33150i | 0.348879 | + | 0.102440i | ||||
\(519\) | −12.6921 | − | 27.7919i | −0.557123 | − | 1.21993i | ||||
\(520\) | −0.592221 | + | 4.11899i | −0.0259706 | + | 0.180630i | ||||
\(521\) | 26.5130 | − | 30.5977i | 1.16156 | − | 1.34051i | 0.231613 | − | 0.972808i | \(-0.425600\pi\) |
0.929944 | − | 0.367700i | \(-0.119855\pi\) | |||||||
\(522\) | −31.0532 | + | 67.9969i | −1.35916 | + | 2.97614i | ||||
\(523\) | 22.2209 | + | 14.2805i | 0.971652 | + | 0.624443i | 0.927199 | − | 0.374568i | \(-0.122209\pi\) |
0.0444532 | + | 0.999011i | \(0.485845\pi\) | |||||||
\(524\) | 1.68087 | + | 11.6907i | 0.0734293 | + | 0.510712i | ||||
\(525\) | 7.88441 | − | 5.06700i | 0.344104 | − | 0.221142i | ||||
\(526\) | −17.5077 | − | 20.2049i | −0.763371 | − | 0.880977i | ||||
\(527\) | 22.6399 | − | 6.64767i | 0.986208 | − | 0.289577i | ||||
\(528\) | 3.71677 | 0.161752 | ||||||||
\(529\) | 22.7261 | + | 3.53920i | 0.988090 | + | 0.153878i | ||||
\(530\) | 1.10428 | 0.0479670 | ||||||||
\(531\) | 85.0026 | − | 24.9590i | 3.68880 | − | 1.08313i | ||||
\(532\) | 0.926383 | + | 1.06910i | 0.0401638 | + | 0.0463515i | ||||
\(533\) | 13.4610 | − | 8.65088i | 0.583062 | − | 0.374711i | ||||
\(534\) | −3.80407 | − | 26.4579i | −0.164618 | − | 1.14495i | ||||
\(535\) | −10.1070 | − | 6.49535i | −0.436962 | − | 0.280818i | ||||
\(536\) | 1.05928 | − | 2.31951i | 0.0457541 | − | 0.100187i | ||||
\(537\) | −36.1620 | + | 41.7332i | −1.56051 | + | 1.80092i | ||||
\(538\) | −1.40981 | + | 9.80546i | −0.0607813 | + | 0.422743i | ||||
\(539\) | −0.456961 | − | 1.00061i | −0.0196827 | − | 0.0430991i | ||||
\(540\) | 26.2013 | + | 7.69339i | 1.12752 | + | 0.331071i | ||||
\(541\) | 1.42532 | + | 0.418513i | 0.0612795 | + | 0.0179933i | 0.312229 | − | 0.950007i | \(-0.398925\pi\) |
−0.250949 | + | 0.968000i | \(0.580743\pi\) | |||||||
\(542\) | −7.78610 | − | 17.0492i | −0.334441 | − | 0.732325i | ||||
\(543\) | 12.2598 | − | 85.2685i | 0.526116 | − | 3.65922i | ||||
\(544\) | −2.72086 | + | 3.14004i | −0.116656 | + | 0.134628i | ||||
\(545\) | 7.87470 | − | 17.2432i | 0.337315 | − | 0.738617i | ||||
\(546\) | −7.92769 | − | 5.09482i | −0.339274 | − | 0.218038i | ||||
\(547\) | 1.53131 | + | 10.6505i | 0.0654742 | + | 0.455383i | 0.996014 | + | 0.0891932i | \(0.0284288\pi\) |
−0.930540 | + | 0.366190i | \(0.880662\pi\) | |||||||
\(548\) | −15.4019 | + | 9.89819i | −0.657936 | + | 0.422830i | ||||
\(549\) | 42.1267 | + | 48.6168i | 1.79792 | + | 2.07491i | ||||
\(550\) | −2.92761 | + | 0.859623i | −0.124834 | + | 0.0366544i | ||||
\(551\) | 12.5640 | 0.535243 | ||||||||
\(552\) | 16.1561 | + | 1.25048i | 0.687648 | + | 0.0532240i | ||||
\(553\) | 4.32947 | 0.184108 | ||||||||
\(554\) | 14.5220 | − | 4.26406i | 0.616983 | − | 0.181162i | ||||
\(555\) | −27.3211 | − | 31.5303i | −1.15972 | − | 1.33839i | ||||
\(556\) | −5.99989 | + | 3.85589i | −0.254452 | + | 0.163526i | ||||
\(557\) | 0.192660 | + | 1.33998i | 0.00816325 | + | 0.0567766i | 0.993496 | − | 0.113868i | \(-0.0363241\pi\) |
−0.985333 | + | 0.170645i | \(0.945415\pi\) | |||||||
\(558\) | −40.2105 | − | 25.8417i | −1.70225 | − | 1.09397i | ||||
\(559\) | −12.7927 | + | 28.0120i | −0.541072 | + | 1.18478i | ||||
\(560\) | −0.977084 | + | 1.12762i | −0.0412893 | + | 0.0476504i | ||||
\(561\) | −2.19773 | + | 15.2855i | −0.0927881 | + | 0.645355i | ||||
\(562\) | −4.69030 | − | 10.2703i | −0.197848 | − | 0.433228i | ||||
\(563\) | −9.39237 | − | 2.75785i | −0.395841 | − | 0.116230i | 0.0777529 | − | 0.996973i | \(-0.475225\pi\) |
−0.473594 | + | 0.880743i | \(0.657044\pi\) | |||||||
\(564\) | −2.47985 | − | 0.728148i | −0.104420 | − | 0.0306606i | ||||
\(565\) | −10.7215 | − | 23.4769i | −0.451058 | − | 0.987679i | ||||
\(566\) | −1.25404 | + | 8.72203i | −0.0527112 | + | 0.366614i | ||||
\(567\) | −23.9612 | + | 27.6527i | −1.00627 | + | 1.16130i | ||||
\(568\) | 2.76282 | − | 6.04973i | 0.115925 | − | 0.253841i | ||||
\(569\) | 12.4758 | + | 8.01773i | 0.523014 | + | 0.336121i | 0.775363 | − | 0.631516i | \(-0.217567\pi\) |
−0.252349 | + | 0.967636i | \(0.581203\pi\) | |||||||
\(570\) | −1.01495 | − | 7.05912i | −0.0425115 | − | 0.295674i | ||||
\(571\) | −29.4214 | + | 18.9080i | −1.23125 | + | 0.791274i | −0.984085 | − | 0.177700i | \(-0.943134\pi\) |
−0.247162 | + | 0.968974i | \(0.579498\pi\) | |||||||
\(572\) | 2.00908 | + | 2.31860i | 0.0840038 | + | 0.0969456i | ||||
\(573\) | −49.6494 | + | 14.5784i | −2.07413 | + | 0.609020i | ||||
\(574\) | 5.73721 | 0.239466 | ||||||||
\(575\) | −13.0149 | + | 2.75164i | −0.542760 | + | 0.114751i | ||||
\(576\) | 8.41663 | 0.350693 | ||||||||
\(577\) | 33.1050 | − | 9.72052i | 1.37818 | − | 0.404670i | 0.493045 | − | 0.870004i | \(-0.335884\pi\) |
0.885136 | + | 0.465333i | \(0.154065\pi\) | |||||||
\(578\) | −0.172186 | − | 0.198713i | −0.00716200 | − | 0.00826539i | ||||
\(579\) | −44.0482 | + | 28.3080i | −1.83058 | + | 1.17644i | ||||
\(580\) | 1.88590 | + | 13.1167i | 0.0783077 | + | 0.544642i | ||||
\(581\) | −9.06282 | − | 5.82432i | −0.375989 | − | 0.241634i | ||||
\(582\) | −9.03114 | + | 19.7754i | −0.374353 | + | 0.819718i | ||||
\(583\) | 0.533143 | − | 0.615280i | 0.0220805 | − | 0.0254823i | ||||
\(584\) | 0.444356 | − | 3.09057i | 0.0183876 | − | 0.127889i | ||||
\(585\) | 14.5497 | + | 31.8594i | 0.601556 | + | 1.31722i | ||||
\(586\) | −15.5821 | − | 4.57533i | −0.643692 | − | 0.189005i | ||||
\(587\) | 24.9845 | + | 7.33611i | 1.03122 | + | 0.302794i | 0.753207 | − | 0.657784i | \(-0.228506\pi\) |
0.278013 | + | 0.960577i | \(0.410324\pi\) | |||||||
\(588\) | −1.40362 | − | 3.07351i | −0.0578845 | − | 0.126749i | ||||
\(589\) | −1.14332 | + | 7.95194i | −0.0471096 | + | 0.327654i | ||||
\(590\) | 10.2845 | − | 11.8690i | 0.423407 | − | 0.488638i | ||||
\(591\) | 2.01309 | − | 4.40806i | 0.0828075 | − | 0.181323i | ||||
\(592\) | −6.96185 | − | 4.47411i | −0.286130 | − | 0.183885i | ||||
\(593\) | −0.377148 | − | 2.62312i | −0.0154876 | − | 0.107719i | 0.980611 | − | 0.195963i | \(-0.0627834\pi\) |
−0.996099 | + | 0.0882446i | \(0.971874\pi\) | |||||||
\(594\) | 16.9364 | − | 10.8844i | 0.694910 | − | 0.446592i | ||||
\(595\) | −4.05966 | − | 4.68509i | −0.166430 | − | 0.192070i | ||||
\(596\) | 0.657972 | − | 0.193198i | 0.0269516 | − | 0.00791370i | ||||
\(597\) | −62.9217 | −2.57522 | ||||||||
\(598\) | 7.95299 | + | 10.7544i | 0.325222 | + | 0.439782i | ||||
\(599\) | −0.0575911 | −0.00235311 | −0.00117655 | − | 0.999999i | \(-0.500375\pi\) | ||||
−0.00117655 | + | 0.999999i | \(0.500375\pi\) | |||||||
\(600\) | −8.99258 | + | 2.64046i | −0.367121 | + | 0.107796i | ||||
\(601\) | 15.7154 | + | 18.1366i | 0.641046 | + | 0.739806i | 0.979559 | − | 0.201155i | \(-0.0644696\pi\) |
−0.338514 | + | 0.940961i | \(0.609924\pi\) | |||||||
\(602\) | −9.28869 | + | 5.96948i | −0.378579 | + | 0.243298i | ||||
\(603\) | −3.05435 | − | 21.2434i | −0.124383 | − | 0.865100i | ||||
\(604\) | 13.3103 | + | 8.55402i | 0.541589 | + | 0.348058i | ||||
\(605\) | −6.06802 | + | 13.2871i | −0.246700 | + | 0.540198i | ||||
\(606\) | 23.3677 | − | 26.9677i | 0.949247 | − | 1.09549i | ||||
\(607\) | −2.80673 | + | 19.5213i | −0.113922 | + | 0.792343i | 0.850119 | + | 0.526590i | \(0.176530\pi\) |
−0.964041 | + | 0.265753i | \(0.914379\pi\) | |||||||
\(608\) | −0.587657 | − | 1.28679i | −0.0238326 | − | 0.0521862i | ||||
\(609\) | −28.7936 | − | 8.45457i | −1.16678 | − | 0.342596i | ||||
\(610\) | 10.9420 | + | 3.21285i | 0.443027 | + | 0.130084i | ||||
\(611\) | −0.886231 | − | 1.94058i | −0.0358531 | − | 0.0785073i | ||||
\(612\) | −4.97675 | + | 34.6140i | −0.201173 | + | 1.39919i | ||||
\(613\) | −17.7757 | + | 20.5142i | −0.717953 | + | 0.828561i | −0.991059 | − | 0.133422i | \(-0.957403\pi\) |
0.273107 | + | 0.961984i | \(0.411949\pi\) | |||||||
\(614\) | 11.7698 | − | 25.7722i | 0.474989 | − | 1.04008i | ||||
\(615\) | −24.3321 | − | 15.6373i | −0.981165 | − | 0.630556i | ||||
\(616\) | 0.156548 | + | 1.08882i | 0.00630750 | + | 0.0438696i | ||||
\(617\) | 19.9041 | − | 12.7916i | 0.801309 | − | 0.514970i | −0.0747335 | − | 0.997204i | \(-0.523811\pi\) |
0.876043 | + | 0.482233i | \(0.160174\pi\) | |||||||
\(618\) | 26.3112 | + | 30.3647i | 1.05839 | + | 1.22145i | ||||
\(619\) | −3.28671 | + | 0.965066i | −0.132104 | + | 0.0387893i | −0.347116 | − | 0.937822i | \(-0.612839\pi\) |
0.215012 | + | 0.976611i | \(0.431021\pi\) | |||||||
\(620\) | −8.47340 | −0.340300 | ||||||||
\(621\) | 77.2813 | − | 41.6141i | 3.10119 | − | 1.66992i | ||||
\(622\) | −13.7624 | −0.551822 | ||||||||
\(623\) | 7.59052 | − | 2.22878i | 0.304108 | − | 0.0892941i | ||||
\(624\) | 6.17119 | + | 7.12193i | 0.247045 | + | 0.285105i | ||||
\(625\) | −2.89151 | + | 1.85826i | −0.115660 | + | 0.0743303i | ||||
\(626\) | 1.24023 | + | 8.62596i | 0.0495694 | + | 0.344763i | ||||
\(627\) | −4.42318 | − | 2.84261i | −0.176645 | − | 0.113523i | ||||
\(628\) | 6.38602 | − | 13.9834i | 0.254830 | − | 0.558000i | ||||
\(629\) | 22.5167 | − | 25.9856i | 0.897798 | − | 1.03611i | ||||
\(630\) | −1.78719 | + | 12.4302i | −0.0712035 | + | 0.495231i | ||||
\(631\) | −0.0504098 | − | 0.110382i | −0.00200678 | − | 0.00439424i | 0.908626 | − | 0.417611i | \(-0.137132\pi\) |
−0.910633 | + | 0.413217i | \(0.864405\pi\) | |||||||
\(632\) | −4.15410 | − | 1.21975i | −0.165241 | − | 0.0485192i | ||||
\(633\) | −52.7978 | − | 15.5028i | −2.09852 | − | 0.616182i | ||||
\(634\) | −10.2316 | − | 22.4041i | −0.406349 | − | 0.889780i | ||||
\(635\) | 1.38474 | − | 9.63106i | 0.0549517 | − | 0.382197i | ||||
\(636\) | 1.63763 | − | 1.88992i | 0.0649362 | − | 0.0749404i | ||||
\(637\) | 1.15860 | − | 2.53698i | 0.0459054 | − | 0.100519i | ||||
\(638\) | 8.21882 | + | 5.28192i | 0.325386 | + | 0.209113i | ||||
\(639\) | −7.96633 | − | 55.4071i | −0.315143 | − | 2.19187i | ||||
\(640\) | 1.25519 | − | 0.806663i | 0.0496158 | − | 0.0318861i | ||||
\(641\) | 5.75397 | + | 6.64044i | 0.227268 | + | 0.262281i | 0.857919 | − | 0.513786i | \(-0.171757\pi\) |
−0.630650 | + | 0.776067i | \(0.717212\pi\) | |||||||
\(642\) | −26.1048 | + | 7.66507i | −1.03028 | + | 0.302516i | ||||
\(643\) | −0.0957894 | −0.00377757 | −0.00188878 | − | 0.999998i | \(-0.500601\pi\) | ||||
−0.00188878 | + | 0.999998i | \(0.500601\pi\) | |||||||
\(644\) | 0.314159 | + | 4.78553i | 0.0123796 | + | 0.188576i | ||||
\(645\) | 55.6647 | 2.19179 | ||||||||
\(646\) | 5.63950 | − | 1.65591i | 0.221883 | − | 0.0651508i | ||||
\(647\) | 12.2566 | + | 14.1449i | 0.481856 | + | 0.556092i | 0.943671 | − | 0.330885i | \(-0.107347\pi\) |
−0.461815 | + | 0.886976i | \(0.652802\pi\) | |||||||
\(648\) | 30.7812 | − | 19.7819i | 1.20920 | − | 0.777106i | ||||
\(649\) | −1.64778 | − | 11.4606i | −0.0646811 | − | 0.449867i | ||||
\(650\) | −6.50806 | − | 4.18247i | −0.255267 | − | 0.164050i | ||||
\(651\) | 7.97124 | − | 17.4546i | 0.312418 | − | 0.684099i | ||||
\(652\) | 9.59532 | − | 11.0736i | 0.375782 | − | 0.433675i | ||||
\(653\) | −0.249581 | + | 1.73587i | −0.00976686 | + | 0.0679300i | −0.994122 | − | 0.108266i | \(-0.965470\pi\) |
0.984355 | + | 0.176196i | \(0.0563793\pi\) | |||||||
\(654\) | −17.8328 | − | 39.0484i | −0.697318 | − | 1.52691i | ||||
\(655\) | 16.9087 | + | 4.96484i | 0.660677 | + | 0.193992i | ||||
\(656\) | −5.50481 | − | 1.61636i | −0.214927 | − | 0.0631082i | ||||
\(657\) | −10.9170 | − | 23.9048i | −0.425911 | − | 0.932615i | ||||
\(658\) | 0.108859 | − | 0.757131i | 0.00424376 | − | 0.0295160i | ||||
\(659\) | −10.1669 | + | 11.7333i | −0.396048 | + | 0.457064i | −0.918392 | − | 0.395671i | \(-0.870512\pi\) |
0.522345 | + | 0.852735i | \(0.325058\pi\) | |||||||
\(660\) | 2.30373 | − | 5.04446i | 0.0896726 | − | 0.196355i | ||||
\(661\) | −1.66410 | − | 1.06945i | −0.0647261 | − | 0.0415970i | 0.507878 | − | 0.861429i | \(-0.330430\pi\) |
−0.572604 | + | 0.819832i | \(0.694067\pi\) | |||||||
\(662\) | 3.36878 | + | 23.4304i | 0.130931 | + | 0.910647i | ||||
\(663\) | −32.9385 | + | 21.1683i | −1.27923 | + | 0.822109i | ||||
\(664\) | 7.05481 | + | 8.14169i | 0.273780 | + | 0.315959i | ||||
\(665\) | 2.02519 | − | 0.594650i | 0.0785336 | − | 0.0230596i | ||||
\(666\) | −69.6524 | −2.69897 | ||||||||
\(667\) | 33.9485 | + | 25.7246i | 1.31449 | + | 0.996060i | ||||
\(668\) | 5.33923 | 0.206581 | ||||||||
\(669\) | −30.2805 | + | 8.89116i | −1.17071 | + | 0.343752i | ||||
\(670\) | −2.49151 | − | 2.87535i | −0.0962553 | − | 0.111085i | ||||
\(671\) | 7.07285 | − | 4.54544i | 0.273044 | − | 0.175475i | ||||
\(672\) | 0.480860 | + | 3.34446i | 0.0185496 | + | 0.129015i | ||||
\(673\) | −7.36873 | − | 4.73560i | −0.284044 | − | 0.182544i | 0.390859 | − | 0.920451i | \(-0.372178\pi\) |
−0.674903 | + | 0.737907i | \(0.735814\pi\) | |||||||
\(674\) | −9.79705 | + | 21.4525i | −0.377368 | + | 0.826321i | ||||
\(675\) | −33.2445 | + | 38.3662i | −1.27958 | + | 1.47672i | ||||
\(676\) | 0.743082 | − | 5.16825i | 0.0285801 | − | 0.198779i | ||||
\(677\) | −13.5372 | − | 29.6424i | −0.520278 | − | 1.13925i | −0.969334 | − | 0.245746i | \(-0.920967\pi\) |
0.449057 | − | 0.893503i | \(-0.351760\pi\) | |||||||
\(678\) | −56.0792 | − | 16.4663i | −2.15371 | − | 0.632386i | ||||
\(679\) | −6.17352 | − | 1.81271i | −0.236918 | − | 0.0695654i | ||||
\(680\) | 2.57527 | + | 5.63905i | 0.0987571 | + | 0.216248i | ||||
\(681\) | 5.45889 | − | 37.9674i | 0.209185 | − | 1.45492i | ||||
\(682\) | −4.09092 | + | 4.72117i | −0.156649 | + | 0.180783i | ||||
\(683\) | −4.39724 | + | 9.62861i | −0.168256 | + | 0.368428i | −0.974911 | − | 0.222593i | \(-0.928548\pi\) |
0.806656 | + | 0.591021i | \(0.201275\pi\) | |||||||
\(684\) | −10.0163 | − | 6.43707i | −0.382982 | − | 0.246128i | ||||
\(685\) | 3.88759 | + | 27.0388i | 0.148537 | + | 1.03310i | ||||
\(686\) | 0.841254 | − | 0.540641i | 0.0321192 | − | 0.0206418i | ||||
\(687\) | −21.0483 | − | 24.2910i | −0.803042 | − | 0.926760i | ||||
\(688\) | 10.5942 | − | 3.11075i | 0.403901 | − | 0.118596i | ||||
\(689\) | 2.06418 | 0.0786392 | ||||||||
\(690\) | 11.7110 | − | 21.1522i | 0.445831 | − | 0.805250i | ||||
\(691\) | −42.5871 | −1.62009 | −0.810046 | − | 0.586367i | \(-0.800558\pi\) | ||||
−0.810046 | + | 0.586367i | \(0.800558\pi\) | |||||||
\(692\) | −8.67612 | + | 2.54754i | −0.329817 | + | 0.0968429i | ||||
\(693\) | 6.06296 | + | 6.99702i | 0.230313 | + | 0.265795i | ||||
\(694\) | −17.3422 | + | 11.1452i | −0.658302 | + | 0.423065i | ||||
\(695\) | 1.51443 | + | 10.5331i | 0.0574456 | + | 0.399543i | ||||
\(696\) | 25.2453 | + | 16.2242i | 0.956922 | + | 0.614977i | ||||
\(697\) | 9.90239 | − | 21.6832i | 0.375080 | − | 0.821310i | ||||
\(698\) | −1.26014 | + | 1.45428i | −0.0476969 | + | 0.0550452i | ||||
\(699\) | 4.46361 | − | 31.0451i | 0.168829 | − | 1.17423i | ||||
\(700\) | −1.15227 | − | 2.52313i | −0.0435519 | − | 0.0953653i | ||||
\(701\) | −29.5844 | − | 8.68677i | −1.11739 | − | 0.328095i | −0.329649 | − | 0.944104i | \(-0.606930\pi\) |
−0.787739 | + | 0.616009i | \(0.788749\pi\) | |||||||
\(702\) | 48.9768 | + | 14.3809i | 1.84851 | + | 0.542772i | ||||
\(703\) | 4.86319 | + | 10.6489i | 0.183419 | + | 0.401631i | ||||
\(704\) | 0.156548 | − | 1.08882i | 0.00590012 | − | 0.0410363i | ||||
\(705\) | −2.52531 | + | 2.91436i | −0.0951087 | + | 0.109761i | ||||
\(706\) | 9.11170 | − | 19.9518i | 0.342923 | − | 0.750897i | ||||
\(707\) | 8.88433 | + | 5.70961i | 0.334130 | + | 0.214732i | ||||
\(708\) | −5.06141 | − | 35.2029i | −0.190219 | − | 1.32300i | ||||
\(709\) | 40.7459 | − | 26.1858i | 1.53025 | − | 0.983429i | 0.540380 | − | 0.841421i | \(-0.318281\pi\) |
0.989866 | − | 0.142008i | \(-0.0453557\pi\) | |||||||
\(710\) | −6.49834 | − | 7.49948i | −0.243878 | − | 0.281450i | ||||
\(711\) | −34.9635 | + | 10.2662i | −1.31123 | + | 0.385013i | ||||
\(712\) | −7.91097 | −0.296476 | ||||||||
\(713\) | −19.3708 | + | 19.1456i | −0.725443 | + | 0.717010i | ||||
\(714\) | −14.0387 | −0.525384 | ||||||||
\(715\) | 4.39211 | − | 1.28964i | 0.164256 | − | 0.0482298i | ||||
\(716\) | 10.7025 | + | 12.3513i | 0.399970 | + | 0.461590i | ||||
\(717\) | 16.7657 | − | 10.7747i | 0.626128 | − | 0.402388i | ||||
\(718\) | −4.89683 | − | 34.0582i | −0.182748 | − | 1.27104i | ||||
\(719\) | 11.9800 | + | 7.69908i | 0.446779 | + | 0.287127i | 0.744621 | − | 0.667488i | \(-0.232630\pi\) |
−0.297842 | + | 0.954615i | \(0.596267\pi\) | |||||||
\(720\) | 5.21679 | − | 11.4232i | 0.194418 | − | 0.425717i | ||||
\(721\) | −7.78703 | + | 8.98671i | −0.290004 | + | 0.334682i | ||||
\(722\) | 2.41919 | − | 16.8258i | 0.0900328 | − | 0.626192i | ||||
\(723\) | −16.3344 | − | 35.7673i | −0.607482 | − | 1.33020i | ||||
\(724\) | −24.4627 | − | 7.18290i | −0.909149 | − | 0.266950i | ||||
\(725\) | −23.6375 | − | 6.94058i | −0.877873 | − | 0.257767i | ||||
\(726\) | 13.7415 | + | 30.0896i | 0.509993 | + | 1.11673i | ||||
\(727\) | −0.826131 | + | 5.74587i | −0.0306395 | + | 0.213103i | −0.999390 | − | 0.0349366i | \(-0.988877\pi\) |
0.968750 | + | 0.248039i | \(0.0797862\pi\) | |||||||
\(728\) | −1.82642 | + | 2.10780i | −0.0676915 | + | 0.0781202i | ||||
\(729\) | 50.8648 | − | 111.378i | 1.88388 | − | 4.12512i | ||||
\(730\) | −3.91914 | − | 2.51868i | −0.145054 | − | 0.0932205i | ||||
\(731\) | 6.52883 | + | 45.4090i | 0.241477 | + | 1.67951i | ||||
\(732\) | 21.7253 | − | 13.9620i | 0.802990 | − | 0.516051i | ||||
\(733\) | 4.53979 | + | 5.23920i | 0.167681 | + | 0.193514i | 0.833371 | − | 0.552715i | \(-0.186408\pi\) |
−0.665690 | + | 0.746229i | \(0.731863\pi\) | |||||||
\(734\) | 10.4047 | − | 3.05510i | 0.384046 | − | 0.112766i | ||||
\(735\) | −5.04141 | −0.185955 | ||||||||
\(736\) | 1.04681 | − | 4.68019i | 0.0385858 | − | 0.172514i | ||||
\(737\) | −2.80496 | −0.103322 | ||||||||
\(738\) | −46.3319 | + | 13.6043i | −1.70550 | + | 0.500781i | ||||
\(739\) | −28.0666 | − | 32.3906i | −1.03245 | − | 1.19151i | −0.981234 | − | 0.192818i | \(-0.938237\pi\) |
−0.0512115 | − | 0.998688i | \(-0.516308\pi\) | |||||||
\(740\) | −10.3874 | + | 6.67559i | −0.381849 | + | 0.245400i | ||||
\(741\) | −1.89719 | − | 13.1953i | −0.0696951 | − | 0.484740i | ||||
\(742\) | 0.622622 | + | 0.400135i | 0.0228572 | + | 0.0146894i | ||||
\(743\) | 8.94478 | − | 19.5863i | 0.328152 | − | 0.718553i | −0.671598 | − | 0.740916i | \(-0.734392\pi\) |
0.999750 | + | 0.0223629i | \(0.00711894\pi\) | |||||||
\(744\) | −12.5659 | + | 14.5018i | −0.460687 | + | 0.531661i | ||||
\(745\) | 0.145613 | − | 1.01276i | 0.00533483 | − | 0.0371046i | ||||
\(746\) | 11.2450 | + | 24.6231i | 0.411708 | + | 0.901515i | ||||
\(747\) | 86.9994 | + | 25.5453i | 3.18314 | + | 0.934655i | ||||
\(748\) | 4.38527 | + | 1.28763i | 0.160341 | + | 0.0470805i | ||||
\(749\) | −3.34497 | − | 7.32447i | −0.122223 | − | 0.267630i | ||||
\(750\) | −5.57744 | + | 38.7920i | −0.203659 | + | 1.41648i | ||||
\(751\) | 2.94664 | − | 3.40060i | 0.107524 | − | 0.124090i | −0.699436 | − | 0.714695i | \(-0.746566\pi\) |
0.806961 | + | 0.590605i | \(0.201111\pi\) | |||||||
\(752\) | −0.317758 | + | 0.695792i | −0.0115874 | + | 0.0253729i | ||||
\(753\) | −33.4749 | − | 21.5130i | −1.21989 | − | 0.783978i | ||||
\(754\) | 3.52522 | + | 24.5185i | 0.128381 | + | 0.892910i | ||||
\(755\) | 19.8596 | − | 12.7630i | 0.722766 | − | 0.464493i | ||||
\(756\) | 11.9852 | + | 13.8317i | 0.435899 | + | 0.503054i | ||||
\(757\) | −40.9236 | + | 12.0163i | −1.48739 | + | 0.436738i | −0.921709 | − | 0.387883i | \(-0.873206\pi\) |
−0.565685 | + | 0.824621i | \(0.691388\pi\) | |||||||
\(758\) | −18.8781 | −0.685684 | ||||||||
\(759\) | −6.13146 | − | 16.7373i | −0.222558 | − | 0.607525i | ||||
\(760\) | −2.11069 | −0.0765628 | ||||||||
\(761\) | 0.928916 | − | 0.272754i | 0.0336732 | − | 0.00988734i | −0.264853 | − | 0.964289i | \(-0.585323\pi\) |
0.298526 | + | 0.954402i | \(0.403505\pi\) | |||||||
\(762\) | −14.4295 | − | 16.6526i | −0.522727 | − | 0.603259i | ||||
\(763\) | 10.6880 | − | 6.86875i | 0.386931 | − | 0.248665i | ||||
\(764\) | 2.17948 | + | 15.1586i | 0.0788509 | + | 0.548420i | ||||
\(765\) | 43.8940 | + | 28.2090i | 1.58699 | + | 1.01990i | ||||
\(766\) | −14.6220 | + | 32.0176i | −0.528313 | + | 1.15684i | ||||
\(767\) | 19.2244 | − | 22.1861i | 0.694152 | − | 0.801094i | ||||
\(768\) | 0.480860 | − | 3.34446i | 0.0173516 | − | 0.120683i | ||||
\(769\) | −5.62795 | − | 12.3235i | −0.202949 | − | 0.444396i | 0.780602 | − | 0.625029i | \(-0.214913\pi\) |
−0.983551 | + | 0.180633i | \(0.942186\pi\) | |||||||
\(770\) | 1.57479 | + | 0.462400i | 0.0567514 | + | 0.0166637i | ||||
\(771\) | 23.6402 | + | 6.94140i | 0.851382 | + | 0.249988i | ||||
\(772\) | 6.43746 | + | 14.0961i | 0.231689 | + | 0.507328i | ||||
\(773\) | −7.38569 | + | 51.3686i | −0.265645 | + | 1.84760i | 0.222622 | + | 0.974905i | \(0.428539\pi\) |
−0.488266 | + | 0.872695i | \(0.662371\pi\) | |||||||
\(774\) | 60.8576 | − | 70.2334i | 2.18748 | − | 2.52449i | ||||
\(775\) | 6.54381 | − | 14.3289i | 0.235061 | − | 0.514711i | ||||
\(776\) | 5.41275 | + | 3.47856i | 0.194306 | + | 0.124873i | ||||
\(777\) | −3.97939 | − | 27.6773i | −0.142760 | − | 0.992917i | ||||
\(778\) | 0.569608 | − | 0.366065i | 0.0204214 | − | 0.0131241i | ||||
\(779\) | 5.31485 | + | 6.13367i | 0.190424 | + | 0.219761i | ||||
\(780\) | 13.4910 | − | 3.96132i | 0.483056 | − | 0.141838i | ||||
\(781\) | −7.31590 | −0.261783 | ||||||||
\(782\) | 18.6287 | + | 7.07247i | 0.666160 | + | 0.252911i | ||||
\(783\) | 162.549 | 5.80901 | ||||||||
\(784\) | −0.959493 | + | 0.281733i | −0.0342676 | + | 0.0100619i | ||||
\(785\) | −15.0204 | − | 17.3344i | −0.536099 | − | 0.618692i | ||||
\(786\) | 33.5723 | − | 21.5756i | 1.19748 | − | 0.769576i | ||||
\(787\) | −7.70008 | − | 53.5552i | −0.274478 | − | 1.90904i | −0.399231 | − | 0.916850i | \(-0.630723\pi\) |
0.124753 | − | 0.992188i | \(-0.460186\pi\) | |||||||
\(788\) | −1.20653 | − | 0.775392i | −0.0429810 | − | 0.0276222i | ||||
\(789\) | −37.5259 | + | 82.1702i | −1.33596 | + | 2.92534i | ||||
\(790\) | −4.23026 | + | 4.88198i | −0.150506 | + | 0.173693i | ||||
\(791\) | 2.46174 | − | 17.1217i | 0.0875293 | − | 0.608779i | ||||
\(792\) | −3.84607 | − | 8.42173i | −0.136664 | − | 0.299253i | ||||
\(793\) | 20.4533 | + | 6.00562i | 0.726317 | + | 0.213266i | ||||
\(794\) | 7.85959 | + | 2.30778i | 0.278926 | + | 0.0819002i | ||||
\(795\) | −1.55000 | − | 3.39403i | −0.0549728 | − | 0.120374i | ||||
\(796\) | −2.65022 | + | 18.4327i | −0.0939346 | + | 0.653329i | ||||
\(797\) | 15.0633 | − | 17.3840i | 0.533570 | − | 0.615773i | −0.423406 | − | 0.905940i | \(-0.639165\pi\) |
0.956976 | + | 0.290167i | \(0.0937109\pi\) | |||||||
\(798\) | 1.98560 | − | 4.34787i | 0.0702896 | − | 0.153913i | ||||
\(799\) | −2.67361 | − | 1.71823i | −0.0945855 | − | 0.0607864i | ||||
\(800\) | 0.394751 | + | 2.74556i | 0.0139566 | + | 0.0970701i | ||||
\(801\) | −56.0138 | + | 35.9979i | −1.97915 | + | 1.27192i | ||||
\(802\) | 2.37176 | + | 2.73716i | 0.0837499 | + | 0.0966525i | ||||
\(803\) | −3.29549 | + | 0.967644i | −0.116295 | + | 0.0341474i | ||||
\(804\) | −8.61586 | −0.303858 | ||||||||
\(805\) | 6.68972 | + | 2.53978i | 0.235782 | + | 0.0895156i | ||||
\(806\) | −15.8389 | −0.557902 | ||||||||
\(807\) | 32.1160 | − | 9.43012i | 1.13054 | − | 0.331956i | ||||
\(808\) | −6.91587 | − | 7.98134i | −0.243299 | − | 0.280783i | ||||
\(809\) | −6.57187 | + | 4.22348i | −0.231055 | + | 0.148490i | −0.651046 | − | 0.759038i | \(-0.725669\pi\) |
0.419991 | + | 0.907528i | \(0.362033\pi\) | |||||||
\(810\) | −7.76949 | − | 54.0380i | −0.272992 | − | 1.89870i | ||||
\(811\) | −32.8317 | − | 21.0996i | −1.15288 | − | 0.740909i | −0.182667 | − | 0.983175i | \(-0.558473\pi\) |
−0.970210 | + | 0.242266i | \(0.922109\pi\) | |||||||
\(812\) | −3.68950 | + | 8.07888i | −0.129476 | + | 0.283513i | ||||
\(813\) | −41.4720 | + | 47.8613i | −1.45449 | + | 1.67857i | ||||
\(814\) | −1.29552 | + | 9.01056i | −0.0454081 | + | 0.315820i | ||||
\(815\) | −9.08188 | − | 19.8865i | −0.318124 | − | 0.696595i | ||||
\(816\) | 13.4700 | + | 3.95515i | 0.471545 | + | 0.138458i | ||||
\(817\) | −14.9869 | − | 4.40054i | −0.524324 | − | 0.153956i | ||||
\(818\) | −1.67087 | − | 3.65869i | −0.0584206 | − | 0.127923i | ||||
\(819\) | −3.34071 | + | 23.2352i | −0.116734 | + | 0.811902i | ||||
\(820\) | −5.60574 | + | 6.46936i | −0.195761 | + | 0.225920i | ||||
\(821\) | −4.32742 | + | 9.47572i | −0.151028 | + | 0.330705i | −0.969991 | − | 0.243141i | \(-0.921822\pi\) |
0.818963 | + | 0.573846i | \(0.194549\pi\) | |||||||
\(822\) | 52.0406 | + | 33.4445i | 1.81513 | + | 1.16651i | ||||
\(823\) | 1.71891 | + | 11.9552i | 0.0599173 | + | 0.416734i | 0.997600 | + | 0.0692410i | \(0.0220578\pi\) |
−0.937683 | + | 0.347493i | \(0.887033\pi\) | |||||||
\(824\) | 10.0034 | − | 6.42882i | 0.348487 | − | 0.223959i | ||||
\(825\) | 6.75132 | + | 7.79144i | 0.235051 | + | 0.271263i | ||||
\(826\) | 10.0994 | − | 2.96544i | 0.351402 | − | 0.103181i | ||||
\(827\) | 54.1234 | 1.88206 | 0.941028 | − | 0.338328i | \(-0.109861\pi\) | ||||
0.941028 | + | 0.338328i | \(0.109861\pi\) | |||||||
\(828\) | −13.8847 | − | 37.9015i | −0.482526 | − | 1.31717i | ||||
\(829\) | 10.8509 | 0.376866 | 0.188433 | − | 0.982086i | \(-0.439659\pi\) | ||||
0.188433 | + | 0.982086i | \(0.439659\pi\) | |||||||
\(830\) | 15.4227 | − | 4.52852i | 0.535331 | − | 0.157187i | ||||
\(831\) | −33.4891 | − | 38.6485i | −1.16173 | − | 1.34070i | ||||
\(832\) | 2.34627 | − | 1.50786i | 0.0813422 | − | 0.0522755i | ||||
\(833\) | −0.591299 | − | 4.11258i | −0.0204873 | − | 0.142492i | ||||
\(834\) | 20.2727 | + | 13.0285i | 0.701987 | + | 0.451139i | ||||
\(835\) | 3.30936 | − | 7.24649i | 0.114525 | − | 0.250775i | ||||
\(836\) | −1.01903 | + | 1.17603i | −0.0352440 | + | 0.0406737i | ||||
\(837\) | −14.7919 | + | 102.880i | −0.511282 | + | 3.55604i | ||||
\(838\) | 10.3232 | + | 22.6047i | 0.356609 | + | 0.780866i | ||||
\(839\) | −18.6265 | − | 5.46923i | −0.643058 | − | 0.188819i | −0.0560855 | − | 0.998426i | \(-0.517862\pi\) |
−0.586972 | + | 0.809607i | \(0.699680\pi\) | |||||||
\(840\) | 4.83720 | + | 1.42033i | 0.166899 | + | 0.0490060i | ||||
\(841\) | 20.7212 | + | 45.3731i | 0.714524 | + | 1.56459i | ||||
\(842\) | 2.46192 | − | 17.1230i | 0.0848435 | − | 0.590099i | ||||
\(843\) | −24.9825 | + | 28.8314i | −0.860444 | + | 0.993005i | ||||
\(844\) | −6.76531 | + | 14.8140i | −0.232871 | + | 0.509917i | ||||
\(845\) | −6.55385 | − | 4.21190i | −0.225459 | − | 0.144894i | ||||
\(846\) | 0.916225 | + | 6.37249i | 0.0315005 | + | 0.219091i | ||||
\(847\) | −8.23585 | + | 5.29286i | −0.282987 | + | 0.181865i | ||||
\(848\) | −0.484670 | − | 0.559339i | −0.0166437 | − | 0.0192078i | ||||
\(849\) | 28.5674 | − | 8.38816i | 0.980432 | − | 0.287881i | ||||
\(850\) | −11.5247 | −0.395295 | ||||||||
\(851\) | −8.66292 | + | 38.7312i | −0.296961 | + | 1.32769i | ||||
\(852\) | −22.4719 | −0.769873 | ||||||||
\(853\) | 9.12862 | − | 2.68041i | 0.312558 | − | 0.0917753i | −0.121691 | − | 0.992568i | \(-0.538832\pi\) |
0.434249 | + | 0.900793i | \(0.357014\pi\) | |||||||
\(854\) | 5.00517 | + | 5.77628i | 0.171273 | + | 0.197660i | ||||
\(855\) | −14.9448 | + | 9.60443i | −0.511101 | + | 0.328465i | ||||
\(856\) | 1.14594 | + | 7.97016i | 0.0391673 | + | 0.272415i | ||||
\(857\) | 41.2725 | + | 26.5242i | 1.40984 | + | 0.906049i | 0.999981 | − | 0.00609987i | \(-0.00194166\pi\) |
0.409859 | + | 0.912149i | \(0.365578\pi\) | |||||||
\(858\) | 4.30625 | − | 9.42937i | 0.147013 | − | 0.321913i | ||||
\(859\) | 12.2487 | − | 14.1357i | 0.417919 | − | 0.482304i | −0.507283 | − | 0.861780i | \(-0.669350\pi\) |
0.925202 | + | 0.379475i | \(0.123895\pi\) | |||||||
\(860\) | 2.34456 | − | 16.3068i | 0.0799488 | − | 0.556056i | ||||
\(861\) | −8.05289 | − | 17.6334i | −0.274442 | − | 0.600944i | ||||
\(862\) | −15.7205 | − | 4.61596i | −0.535443 | − | 0.157220i | ||||
\(863\) | −23.5181 | − | 6.90554i | −0.800566 | − | 0.235067i | −0.144238 | − | 0.989543i | \(-0.546073\pi\) |
−0.656328 | + | 0.754476i | \(0.727891\pi\) | |||||||
\(864\) | −7.60291 | − | 16.6481i | −0.258656 | − | 0.566378i | ||||
\(865\) | −1.92007 | + | 13.3544i | −0.0652843 | + | 0.454062i | ||||
\(866\) | 8.34411 | − | 9.62961i | 0.283544 | − | 0.327228i | ||||
\(867\) | −0.369063 | + | 0.808135i | −0.0125340 | + | 0.0274457i | ||||
\(868\) | −4.77751 | − | 3.07032i | −0.162159 | − | 0.104213i | ||||
\(869\) | 0.677770 | + | 4.71399i | 0.0229918 | + | 0.159911i | ||||
\(870\) | 37.6673 | − | 24.2073i | 1.27704 | − | 0.820704i | ||||
\(871\) | −4.65725 | − | 5.37476i | −0.157805 | − | 0.182117i | ||||
\(872\) | −12.1902 | + | 3.57936i | −0.412812 | + | 0.121213i | ||||
\(873\) | 54.1538 | 1.83283 | ||||||||
\(874\) | −4.82519 | + | 4.76910i | −0.163215 | + | 0.161317i | ||||
\(875\) | −11.5989 | −0.392114 | ||||||||
\(876\) | −10.1226 | + | 2.97226i | −0.342011 | + | 0.100423i | ||||
\(877\) | 2.62247 | + | 3.02649i | 0.0885544 | + | 0.102197i | 0.798297 | − | 0.602264i | \(-0.205734\pi\) |
−0.709743 | + | 0.704461i | \(0.751189\pi\) | |||||||
\(878\) | 10.9707 | − | 7.05045i | 0.370244 | − | 0.237941i | ||||
\(879\) | 7.80916 | + | 54.3139i | 0.263396 | + | 1.83196i | ||||
\(880\) | −1.38073 | − | 0.887338i | −0.0465442 | − | 0.0299122i | ||||
\(881\) | −23.6777 | + | 51.8469i | −0.797721 | + | 1.74676i | −0.144629 | + | 0.989486i | \(0.546199\pi\) |
−0.653092 | + | 0.757279i | \(0.726528\pi\) | |||||||
\(882\) | −5.51172 | + | 6.36086i | −0.185589 | + | 0.214181i | ||||
\(883\) | −6.09211 | + | 42.3715i | −0.205016 | + | 1.42592i | 0.584105 | + | 0.811678i | \(0.301446\pi\) |
−0.789121 | + | 0.614238i | \(0.789464\pi\) | |||||||
\(884\) | 4.81383 | + | 10.5408i | 0.161906 | + | 0.354526i | ||||
\(885\) | −50.9150 | − | 14.9500i | −1.71149 | − | 0.502539i | ||||
\(886\) | −5.04187 | − | 1.48043i | −0.169385 | − | 0.0497359i | ||||
\(887\) | −15.3133 | − | 33.5315i | −0.514171 | − | 1.12588i | −0.971600 | − | 0.236631i | \(-0.923957\pi\) |
0.457428 | − | 0.889246i | \(-0.348771\pi\) | |||||||
\(888\) | −3.97939 | + | 27.6773i | −0.133540 | + | 0.928789i | ||||
\(889\) | 4.27055 | − | 4.92847i | 0.143229 | − | 0.165296i | ||||
\(890\) | −4.90338 | + | 10.7369i | −0.164362 | + | 0.359902i | ||||
\(891\) | −33.8597 | − | 21.7603i | −1.13434 | − | 0.728998i | ||||
\(892\) | 1.32924 | + | 9.24505i | 0.0445062 | + | 0.309547i | ||||
\(893\) | 0.910296 | − | 0.585011i | 0.0304619 | − | 0.0195767i | ||||
\(894\) | −1.51734 | − | 1.75111i | −0.0507475 | − | 0.0585657i | ||||
\(895\) | 23.3970 | − | 6.86997i | 0.782075 | − | 0.229638i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | 21.8909 | − | 39.5388i | 0.730914 | − | 1.32016i | ||||
\(898\) | −39.1319 | −1.30585 | ||||||||
\(899\) | −48.3952 | + | 14.2101i | −1.61407 | + | 0.473934i | ||||
\(900\) | 15.2883 | + | 17.6437i | 0.509612 | + | 0.588123i | ||||
\(901\) | 2.58691 | − | 1.66251i | 0.0861826 | − | 0.0553862i | ||||
\(902\) | 0.898149 | + | 6.24676i | 0.0299051 | + | 0.207994i | ||||
\(903\) | 31.3851 | + | 20.1700i | 1.04443 | + | 0.671215i | ||||
\(904\) | −7.18577 | + | 15.7346i | −0.238995 | + | 0.523327i | ||||
\(905\) | −24.9112 | + | 28.7491i | −0.828076 | + | 0.955651i | ||||
\(906\) | 7.60817 | − | 52.9160i | 0.252765 | − | 1.75802i | ||||
\(907\) | 2.17627 | + | 4.76536i | 0.0722618 | + | 0.158231i | 0.942316 | − | 0.334725i | \(-0.108643\pi\) |
−0.870054 | + | 0.492956i | \(0.835916\pi\) | |||||||
\(908\) | −10.8925 | − | 3.19832i | −0.361480 | − | 0.106140i | ||||
\(909\) | −85.2860 | − | 25.0422i | −2.82876 | − | 0.830598i | ||||
\(910\) | 1.72869 | + | 3.78529i | 0.0573054 | + | 0.125481i | ||||
\(911\) | −1.63951 | + | 11.4030i | −0.0543193 | + | 0.377799i | 0.944470 | + | 0.328599i | \(0.106576\pi\) |
−0.998789 | + | 0.0492005i | \(0.984333\pi\) | |||||||
\(912\) | −3.13011 | + | 3.61234i | −0.103648 | + | 0.119616i | ||||
\(913\) | 4.92284 | − | 10.7795i | 0.162922 | − | 0.356750i | ||||
\(914\) | 4.19834 | + | 2.69811i | 0.138869 | + | 0.0892456i | ||||
\(915\) | −5.48368 | − | 38.1398i | −0.181285 | − | 1.26086i | ||||
\(916\) | −8.00250 | + | 5.14289i | −0.264410 | + | 0.169926i | ||||
\(917\) | 7.73453 | + | 8.92612i | 0.255417 | + | 0.294766i | ||||
\(918\) | 72.9620 | − | 21.4236i | 2.40811 | − | 0.707084i | ||||
\(919\) | −27.6583 | −0.912362 | −0.456181 | − | 0.889887i | \(-0.650783\pi\) | ||||
−0.456181 | + | 0.889887i | \(0.650783\pi\) | |||||||
\(920\) | −5.70320 | − | 4.32162i | −0.188029 | − | 0.142479i | ||||
\(921\) | −95.7313 | −3.15445 | ||||||||
\(922\) | 4.90824 | − | 1.44119i | 0.161644 | − | 0.0474630i | ||||
\(923\) | −12.1470 | − | 14.0184i | −0.399824 | − | 0.461422i | ||||
\(924\) | 3.12675 | − | 2.00944i | 0.102863 | − | 0.0661057i | ||||
\(925\) | −3.26679 | − | 22.7210i | −0.107411 | − | 0.747063i | ||||
\(926\) | 8.30628 | + | 5.33812i | 0.272961 | + | 0.175421i | ||||
\(927\) | 41.5760 | − | 91.0388i | 1.36554 | − | 2.99011i | ||||
\(928\) | 5.81613 | − | 6.71218i | 0.190924 | − | 0.220338i | ||||
\(929\) | 3.76306 | − | 26.1727i | 0.123462 | − | 0.858697i | −0.830124 | − | 0.557578i | \(-0.811731\pi\) |
0.953587 | − | 0.301119i | \(-0.0973602\pi\) | |||||||
\(930\) | 11.8935 | + | 26.0431i | 0.390003 | + | 0.853987i | ||||
\(931\) | 1.35732 | + | 0.398546i | 0.0444845 | + | 0.0130618i | ||||
\(932\) | −8.90654 | − | 2.61520i | −0.291743 | − | 0.0856636i | ||||
\(933\) | 19.3173 | + | 42.2989i | 0.632418 | + | 1.38480i | ||||
\(934\) | 1.43154 | − | 9.95659i | 0.0468415 | − | 0.325790i | ||||
\(935\) | 4.46567 | − | 5.15366i | 0.146043 | − | 0.168543i | ||||
\(936\) | 9.75149 | − | 21.3528i | 0.318738 | − | 0.697938i | ||||
\(937\) | −2.82033 | − | 1.81251i | −0.0921361 | − | 0.0592123i | 0.493762 | − | 0.869597i | \(-0.335622\pi\) |
−0.585898 | + | 0.810385i | \(0.699258\pi\) | |||||||
\(938\) | −0.362894 | − | 2.52399i | −0.0118489 | − | 0.0824110i | ||||
\(939\) | 24.7712 | − | 15.9195i | 0.808377 | − | 0.519512i | ||||
\(940\) | 0.747388 | + | 0.862531i | 0.0243771 | + | 0.0281327i | ||||
\(941\) | −6.97894 | + | 2.04920i | −0.227507 | + | 0.0668020i | −0.393499 | − | 0.919325i | \(-0.628736\pi\) |
0.165992 | + | 0.986127i | \(0.446917\pi\) | |||||||
\(942\) | −51.9418 | −1.69236 | ||||||||
\(943\) | 1.80239 | + | 27.4556i | 0.0586940 | + | 0.894077i | ||||
\(944\) | −10.5257 | −0.342583 | ||||||||
\(945\) | 26.2013 | − | 7.69339i | 0.852328 | − | 0.250266i | ||||
\(946\) | −7.95379 | − | 9.17916i | −0.258600 | − | 0.298440i | ||||
\(947\) | −19.1117 | + | 12.2823i | −0.621046 | + | 0.399122i | −0.812985 | − | 0.582285i | \(-0.802159\pi\) |
0.191939 | + | 0.981407i | \(0.438522\pi\) | |||||||
\(948\) | 2.08187 | + | 14.4797i | 0.0676161 | + | 0.470280i | ||||
\(949\) | −7.32586 | − | 4.70805i | −0.237808 | − | 0.152830i | ||||
\(950\) | 1.63004 | − | 3.56928i | 0.0528854 | − | 0.115803i | ||||
\(951\) | −54.4979 | + | 62.8939i | −1.76721 | + | 2.03947i | ||||
\(952\) | −0.591299 | + | 4.11258i | −0.0191641 | + | 0.133289i | ||||
\(953\) | 10.1217 | + | 22.1634i | 0.327874 | + | 0.717945i | 0.999742 | − | 0.0227269i | \(-0.00723481\pi\) |
−0.671867 | + | 0.740671i | \(0.734508\pi\) | |||||||
\(954\) | −5.97692 | − | 1.75498i | −0.193510 | − | 0.0568196i | ||||
\(955\) | 21.9244 | + | 6.43759i | 0.709457 | + | 0.208316i | ||||
\(956\) | −2.45024 | − | 5.36528i | −0.0792465 | − | 0.173526i | ||||
\(957\) | 4.69788 | − | 32.6745i | 0.151861 | − | 1.05622i | ||||
\(958\) | −0.831436 | + | 0.959528i | −0.0268625 | + | 0.0310010i | ||||
\(959\) | −7.60552 | + | 16.6538i | −0.245595 | + | 0.537778i | ||||
\(960\) | −4.24110 | − | 2.72559i | −0.136881 | − | 0.0879681i | ||||
\(961\) | −0.178105 | − | 1.23875i | −0.00574532 | − | 0.0399596i | ||||
\(962\) | −19.4167 | + | 12.4784i | −0.626020 | + | 0.402318i | ||||
\(963\) | 44.3810 | + | 51.2184i | 1.43016 | + | 1.65049i | ||||
\(964\) | −11.1659 | + | 3.27860i | −0.359629 | + | 0.105597i | ||||
\(965\) | 23.1215 | 0.744306 | ||||||||
\(966\) | 14.2674 | − | 7.68266i | 0.459047 | − | 0.247186i | ||||
\(967\) | 24.3273 | 0.782314 | 0.391157 | − | 0.920324i | \(-0.372075\pi\) | ||||
0.391157 | + | 0.920324i | \(0.372075\pi\) | |||||||
\(968\) | 9.39341 | − | 2.75815i | 0.301916 | − | 0.0886504i | ||||
\(969\) | −13.0052 | − | 15.0088i | −0.417787 | − | 0.482152i | ||||
\(970\) | 8.07609 | − | 5.19019i | 0.259308 | − | 0.166647i | ||||
\(971\) | −4.70543 | − | 32.7270i | −0.151004 | − | 1.05026i | −0.914541 | − | 0.404494i | \(-0.867448\pi\) |
0.763537 | − | 0.645765i | \(-0.223461\pi\) | |||||||
\(972\) | −57.8154 | − | 37.1557i | −1.85443 | − | 1.19177i | ||||
\(973\) | −2.96277 | + | 6.48757i | −0.0949821 | + | 0.207982i | ||||
\(974\) | −4.06867 | + | 4.69549i | −0.130369 | + | 0.150453i | ||||
\(975\) | −3.72000 | + | 25.8732i | −0.119136 | + | 0.828606i | ||||
\(976\) | −3.17506 | − | 6.95242i | −0.101631 | − | 0.222541i | ||||
\(977\) | −11.8305 | − | 3.47375i | −0.378491 | − | 0.111135i | 0.0869528 | − | 0.996212i | \(-0.472287\pi\) |
−0.465444 | + | 0.885077i | \(0.654105\pi\) | |||||||
\(978\) | −47.5030 | − | 13.9481i | −1.51898 | − | 0.446012i | ||||
\(979\) | 3.61501 | + | 7.91577i | 0.115536 | + | 0.252989i | ||||
\(980\) | −0.212341 | + | 1.47686i | −0.00678297 | + | 0.0471766i | ||||
\(981\) | −70.0254 | + | 80.8136i | −2.23574 | + | 2.58018i | ||||
\(982\) | 4.13927 | − | 9.06373i | 0.132089 | − | 0.289235i | ||||
\(983\) | 8.07249 | + | 5.18787i | 0.257472 | + | 0.165468i | 0.663009 | − | 0.748611i | \(-0.269279\pi\) |
−0.405537 | + | 0.914079i | \(0.632915\pi\) | |||||||
\(984\) | 2.75880 | + | 19.1879i | 0.0879472 | + | 0.611686i | ||||
\(985\) | −1.80021 | + | 1.15692i | −0.0573594 | + | 0.0368626i | ||||
\(986\) | 24.1653 | + | 27.8882i | 0.769579 | + | 0.888142i | ||||
\(987\) | −2.47985 | + | 0.728148i | −0.0789344 | + | 0.0231772i | ||||
\(988\) | −3.94541 | −0.125520 | ||||||||
\(989\) | −31.4853 | − | 42.5760i | −1.00117 | − | 1.35384i | ||||
\(990\) | −13.8140 | −0.439037 | ||||||||
\(991\) | −0.917341 | + | 0.269356i | −0.0291403 | + | 0.00855637i | −0.296270 | − | 0.955104i | \(-0.595743\pi\) |
0.267130 | + | 0.963661i | \(0.413925\pi\) | |||||||
\(992\) | 3.71898 | + | 4.29193i | 0.118078 | + | 0.136269i | ||||
\(993\) | 67.2850 | − | 43.2414i | 2.13522 | − | 1.37223i | ||||
\(994\) | −0.946499 | − | 6.58305i | −0.0300211 | − | 0.208802i | ||||
\(995\) | 23.3745 | + | 15.0219i | 0.741020 | + | 0.476225i | ||||
\(996\) | 15.1212 | − | 33.1109i | 0.479135 | − | 1.04916i | ||||
\(997\) | 32.7201 | − | 37.7611i | 1.03626 | − | 1.19590i | 0.0559486 | − | 0.998434i | \(-0.482182\pi\) |
0.980309 | − | 0.197471i | \(-0.0632728\pi\) | |||||||
\(998\) | 3.20493 | − | 22.2908i | 0.101450 | − | 0.705602i | ||||
\(999\) | 62.9184 | + | 137.772i | 1.99065 | + | 4.35892i |
(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 | 322.2.i.c.239.2 | yes | 20 | |
23.8 | even | 11 | 7406.2.a.bp.1.1 | 10 | |||
23.15 | odd | 22 | 7406.2.a.bo.1.1 | 10 | |||
23.18 | even | 11 | inner | 322.2.i.c.225.2 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.c.225.2 | ✓ | 20 | 23.18 | even | 11 | inner | |
322.2.i.c.239.2 | yes | 20 | 1.1 | even | 1 | trivial | |
7406.2.a.bo.1.1 | 10 | 23.15 | odd | 22 | |||
7406.2.a.bp.1.1 | 10 | 23.8 | even | 11 |