Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(491,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.491");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.e (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 491.11 | ||
Character | \(\chi\) | \(=\) | 588.491 |
Dual form | 588.2.e.f.491.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.446802 | + | 1.34178i | −0.315937 | + | 0.948780i | ||||
\(3\) | −1.32740 | − | 1.11266i | −0.766374 | − | 0.642394i | ||||
\(4\) | −1.60074 | − | 1.19902i | −0.800368 | − | 0.599509i | ||||
\(5\) | 0.803124i | 0.359168i | 0.983743 | + | 0.179584i | \(0.0574752\pi\) | ||||
−0.983743 | + | 0.179584i | \(0.942525\pi\) | |||||||
\(6\) | 2.08603 | − | 1.28394i | 0.851617 | − | 0.524165i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.32403 | − | 1.61211i | 0.821668 | − | 0.569967i | ||||
\(9\) | 0.523976 | + | 2.95389i | 0.174659 | + | 0.984629i | ||||
\(10\) | −1.07761 | − | 0.358837i | −0.340771 | − | 0.113474i | ||||
\(11\) | 2.34545 | 0.707181 | 0.353590 | − | 0.935400i | \(-0.384961\pi\) | ||||
0.353590 | + | 0.935400i | \(0.384961\pi\) | |||||||
\(12\) | 0.790717 | + | 3.37265i | 0.228260 | + | 0.973600i | ||||
\(13\) | −5.26858 | −1.46124 | −0.730621 | − | 0.682784i | \(-0.760769\pi\) | ||||
−0.730621 | + | 0.682784i | \(0.760769\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.893604 | − | 1.06607i | 0.230727 | − | 0.275257i | ||||
\(16\) | 1.12471 | + | 3.83862i | 0.281178 | + | 0.959656i | ||||
\(17\) | 1.18543i | 0.287509i | 0.989613 | + | 0.143754i | \(0.0459176\pi\) | ||||
−0.989613 | + | 0.143754i | \(0.954082\pi\) | |||||||
\(18\) | −4.19757 | − | 0.616742i | −0.989378 | − | 0.145368i | ||||
\(19\) | − | 7.12430i | − | 1.63443i | −0.576336 | − | 0.817213i | \(-0.695518\pi\) | ||
0.576336 | − | 0.817213i | \(-0.304482\pi\) | |||||||
\(20\) | 0.962960 | − | 1.28559i | 0.215324 | − | 0.287467i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.04795 | + | 3.14708i | −0.223424 | + | 0.670959i | ||||
\(23\) | −7.88711 | −1.64458 | −0.822288 | − | 0.569071i | \(-0.807303\pi\) | ||||
−0.822288 | + | 0.569071i | \(0.807303\pi\) | |||||||
\(24\) | −4.87864 | − | 0.445940i | −0.995848 | − | 0.0910271i | ||||
\(25\) | 4.35499 | 0.870998 | ||||||||
\(26\) | 2.35401 | − | 7.06926i | 0.461660 | − | 1.38640i | ||||
\(27\) | 2.59115 | − | 4.50399i | 0.498666 | − | 0.866794i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 4.23132i | − | 0.785737i | −0.919595 | − | 0.392868i | \(-0.871483\pi\) | ||
0.919595 | − | 0.392868i | \(-0.128517\pi\) | |||||||
\(30\) | 1.03116 | + | 1.67534i | 0.188263 | + | 0.305873i | ||||
\(31\) | − | 4.89898i | − | 0.879883i | −0.898027 | − | 0.439941i | \(-0.854999\pi\) | ||
0.898027 | − | 0.439941i | \(-0.145001\pi\) | |||||||
\(32\) | −5.65310 | − | 0.205989i | −0.999337 | − | 0.0364141i | ||||
\(33\) | −3.11335 | − | 2.60969i | −0.541965 | − | 0.454289i | ||||
\(34\) | −1.59058 | − | 0.529652i | −0.272783 | − | 0.0908346i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.70302 | − | 5.35665i | 0.450503 | − | 0.892775i | ||||
\(37\) | 1.04795 | 0.172282 | 0.0861412 | − | 0.996283i | \(-0.472546\pi\) | ||||
0.0861412 | + | 0.996283i | \(0.472546\pi\) | |||||||
\(38\) | 9.55923 | + | 3.18315i | 1.55071 | + | 0.516375i | ||||
\(39\) | 6.99351 | + | 5.86214i | 1.11986 | + | 0.938693i | ||||
\(40\) | 1.29472 | + | 1.86648i | 0.204714 | + | 0.295117i | ||||
\(41\) | − | 7.16942i | − | 1.11968i | −0.828602 | − | 0.559838i | \(-0.810863\pi\) | ||
0.828602 | − | 0.559838i | \(-0.189137\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 7.94315i | − | 1.21132i | −0.795724 | − | 0.605659i | \(-0.792909\pi\) | ||
0.795724 | − | 0.605659i | \(-0.207091\pi\) | |||||||
\(44\) | −3.75445 | − | 2.81224i | −0.566005 | − | 0.423961i | ||||
\(45\) | −2.37234 | + | 0.420818i | −0.353647 | + | 0.0627318i | ||||
\(46\) | 3.52398 | − | 10.5828i | 0.519582 | − | 1.56034i | ||||
\(47\) | −6.09907 | −0.889641 | −0.444821 | − | 0.895620i | \(-0.646733\pi\) | ||||
−0.444821 | + | 0.895620i | \(0.646733\pi\) | |||||||
\(48\) | 2.77814 | − | 6.34681i | 0.400990 | − | 0.916083i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.94582 | + | 5.84343i | −0.275180 | + | 0.826386i | ||||
\(51\) | 1.31898 | − | 1.57354i | 0.184694 | − | 0.220339i | ||||
\(52\) | 8.43361 | + | 6.31712i | 1.16953 | + | 0.876027i | ||||
\(53\) | − | 8.72001i | − | 1.19779i | −0.800829 | − | 0.598893i | \(-0.795607\pi\) | ||
0.800829 | − | 0.598893i | \(-0.204393\pi\) | |||||||
\(54\) | 4.88563 | + | 5.48914i | 0.664850 | + | 0.746977i | ||||
\(55\) | 1.88369i | 0.253997i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −7.92692 | + | 9.45679i | −1.04995 | + | 1.25258i | ||||
\(58\) | 5.67750 | + | 1.89056i | 0.745492 | + | 0.248243i | ||||
\(59\) | −0.662173 | −0.0862076 | −0.0431038 | − | 0.999071i | \(-0.513725\pi\) | ||||
−0.0431038 | + | 0.999071i | \(0.513725\pi\) | |||||||
\(60\) | −2.70866 | + | 0.635044i | −0.349686 | + | 0.0819838i | ||||
\(61\) | −0.958124 | −0.122675 | −0.0613376 | − | 0.998117i | \(-0.519537\pi\) | ||||
−0.0613376 | + | 0.998117i | \(0.519537\pi\) | |||||||
\(62\) | 6.57334 | + | 2.18887i | 0.834815 | + | 0.277987i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.80221 | − | 7.49317i | 0.350276 | − | 0.936647i | ||||
\(65\) | − | 4.23132i | − | 0.524831i | ||||||
\(66\) | 4.89268 | − | 3.01141i | 0.602247 | − | 0.370679i | ||||
\(67\) | 8.42629i | 1.02943i | 0.857360 | + | 0.514717i | \(0.172103\pi\) | ||||
−0.857360 | + | 0.514717i | \(0.827897\pi\) | |||||||
\(68\) | 1.42135 | − | 1.89756i | 0.172364 | − | 0.230113i | ||||
\(69\) | 10.4693 | + | 8.77567i | 1.26036 | + | 1.05647i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.67432 | −1.14813 | −0.574065 | − | 0.818810i | \(-0.694634\pi\) | ||||
−0.574065 | + | 0.818810i | \(0.694634\pi\) | |||||||
\(72\) | 5.97972 | + | 6.02021i | 0.704717 | + | 0.709488i | ||||
\(73\) | 1.41421 | 0.165521 | 0.0827606 | − | 0.996569i | \(-0.473626\pi\) | ||||
0.0827606 | + | 0.996569i | \(0.473626\pi\) | |||||||
\(74\) | −0.468227 | + | 1.40612i | −0.0544303 | + | 0.163458i | ||||
\(75\) | −5.78081 | − | 4.84562i | −0.667511 | − | 0.559525i | ||||
\(76\) | −8.54216 | + | 11.4041i | −0.979853 | + | 1.30814i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −10.9904 | + | 6.76452i | −1.24442 | + | 0.765931i | ||||
\(79\) | − | 6.92820i | − | 0.779484i | −0.920924 | − | 0.389742i | \(-0.872564\pi\) | ||
0.920924 | − | 0.389742i | \(-0.127436\pi\) | |||||||
\(80\) | −3.08289 | + | 0.903284i | −0.344678 | + | 0.100990i | ||||
\(81\) | −8.45090 | + | 3.09553i | −0.938989 | + | 0.343948i | ||||
\(82\) | 9.61978 | + | 3.20331i | 1.06233 | + | 0.353747i | ||||
\(83\) | −5.18229 | −0.568830 | −0.284415 | − | 0.958701i | \(-0.591799\pi\) | ||||
−0.284415 | + | 0.958701i | \(0.591799\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.952047 | −0.103264 | ||||||||
\(86\) | 10.6579 | + | 3.54901i | 1.14928 | + | 0.382700i | ||||
\(87\) | −4.70802 | + | 5.61665i | −0.504753 | + | 0.602169i | ||||
\(88\) | 5.45090 | − | 3.78113i | 0.581068 | − | 0.403069i | ||||
\(89\) | 16.3659i | 1.73478i | 0.497626 | + | 0.867392i | \(0.334205\pi\) | ||||
−0.497626 | + | 0.867392i | \(0.665795\pi\) | |||||||
\(90\) | 0.495321 | − | 3.37117i | 0.0522114 | − | 0.355353i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 12.6252 | + | 9.45679i | 1.31627 | + | 0.985938i | ||||
\(93\) | −5.45090 | + | 6.50290i | −0.565232 | + | 0.674319i | ||||
\(94\) | 2.72508 | − | 8.18360i | 0.281070 | − | 0.844074i | ||||
\(95\) | 5.72170 | 0.587034 | ||||||||
\(96\) | 7.27473 | + | 6.56341i | 0.742474 | + | 0.669875i | ||||
\(97\) | 4.37827 | 0.444546 | 0.222273 | − | 0.974984i | \(-0.428652\pi\) | ||||
0.222273 | + | 0.974984i | \(0.428652\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.22896 | + | 6.92820i | 0.123515 | + | 0.696311i | ||||
\(100\) | −6.97119 | − | 5.22171i | −0.697119 | − | 0.522171i | ||||
\(101\) | − | 8.39337i | − | 0.835171i | −0.908638 | − | 0.417586i | \(-0.862876\pi\) | ||
0.908638 | − | 0.417586i | \(-0.137124\pi\) | |||||||
\(102\) | 1.52202 | + | 2.47284i | 0.150702 | + | 0.244848i | ||||
\(103\) | 2.56695i | 0.252929i | 0.991971 | + | 0.126465i | \(0.0403630\pi\) | ||||
−0.991971 | + | 0.126465i | \(0.959637\pi\) | |||||||
\(104\) | −12.2443 | + | 8.49353i | −1.20065 | + | 0.832859i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.7003 | + | 3.89612i | 1.13644 | + | 0.378424i | ||||
\(107\) | 6.09990 | 0.589700 | 0.294850 | − | 0.955544i | \(-0.404730\pi\) | ||||
0.294850 | + | 0.955544i | \(0.404730\pi\) | |||||||
\(108\) | −9.54811 | + | 4.10288i | −0.918767 | + | 0.394800i | ||||
\(109\) | 5.45090 | 0.522101 | 0.261051 | − | 0.965325i | \(-0.415931\pi\) | ||||
0.261051 | + | 0.965325i | \(0.415931\pi\) | |||||||
\(110\) | −2.52749 | − | 0.841636i | −0.240987 | − | 0.0802468i | ||||
\(111\) | −1.39105 | − | 1.16601i | −0.132033 | − | 0.110673i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 7.09803i | − | 0.667726i | −0.942622 | − | 0.333863i | \(-0.891648\pi\) | ||
0.942622 | − | 0.333863i | \(-0.108352\pi\) | |||||||
\(114\) | −9.14715 | − | 14.8615i | −0.856709 | − | 1.39190i | ||||
\(115\) | − | 6.33433i | − | 0.590679i | ||||||
\(116\) | −5.07343 | + | 6.77323i | −0.471056 | + | 0.628879i | ||||
\(117\) | −2.76061 | − | 15.5628i | −0.255219 | − | 1.43878i | ||||
\(118\) | 0.295860 | − | 0.888490i | 0.0272361 | − | 0.0817921i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0.358145 | − | 3.91815i | 0.0326940 | − | 0.357677i | ||||
\(121\) | −5.49885 | −0.499895 | ||||||||
\(122\) | 0.428092 | − | 1.28559i | 0.0387576 | − | 0.116392i | ||||
\(123\) | −7.97713 | + | 9.51669i | −0.719274 | + | 0.858091i | ||||
\(124\) | −5.87396 | + | 7.84197i | −0.527498 | + | 0.704230i | ||||
\(125\) | 7.51322i | 0.672003i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.16202i | 0.369320i | 0.982802 | + | 0.184660i | \(0.0591184\pi\) | ||||
−0.982802 | + | 0.184660i | \(0.940882\pi\) | |||||||
\(128\) | 8.80214 | + | 7.10790i | 0.778007 | + | 0.628256i | ||||
\(129\) | −8.83802 | + | 10.5437i | −0.778144 | + | 0.928323i | ||||
\(130\) | 5.67750 | + | 1.89056i | 0.497949 | + | 0.165813i | ||||
\(131\) | 10.4919 | 0.916680 | 0.458340 | − | 0.888777i | \(-0.348444\pi\) | ||||
0.458340 | + | 0.888777i | \(0.348444\pi\) | |||||||
\(132\) | 1.85459 | + | 7.91039i | 0.161421 | + | 0.688511i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −11.3062 | − | 3.76488i | −0.976707 | − | 0.325236i | ||||
\(135\) | 3.61727 | + | 2.08101i | 0.311325 | + | 0.179105i | ||||
\(136\) | 1.91104 | + | 2.75497i | 0.163871 | + | 0.236237i | ||||
\(137\) | 13.4920i | 1.15270i | 0.817203 | + | 0.576350i | \(0.195523\pi\) | ||||
−0.817203 | + | 0.576350i | \(0.804477\pi\) | |||||||
\(138\) | −16.4527 | + | 10.1265i | −1.40055 | + | 0.862029i | ||||
\(139\) | 7.57264i | 0.642303i | 0.947028 | + | 0.321151i | \(0.104070\pi\) | ||||
−0.947028 | + | 0.321151i | \(0.895930\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.09591 | + | 6.78619i | 0.681798 | + | 0.571501i | ||||
\(142\) | 4.32250 | − | 12.9808i | 0.362736 | − | 1.08932i | ||||
\(143\) | −12.3572 | −1.03336 | ||||||||
\(144\) | −10.7495 | + | 5.33362i | −0.895795 | + | 0.444468i | ||||
\(145\) | 3.39828 | 0.282212 | ||||||||
\(146\) | −0.631873 | + | 1.89756i | −0.0522942 | + | 0.157043i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.67750 | − | 1.25651i | −0.137889 | − | 0.103285i | ||||
\(149\) | − | 16.1013i | − | 1.31907i | −0.751673 | − | 0.659536i | \(-0.770753\pi\) | ||
0.751673 | − | 0.659536i | \(-0.229247\pi\) | |||||||
\(150\) | 9.08463 | − | 5.59153i | 0.741757 | − | 0.456547i | ||||
\(151\) | − | 17.3844i | − | 1.41472i | −0.706853 | − | 0.707360i | \(-0.749886\pi\) | ||
0.706853 | − | 0.707360i | \(-0.250114\pi\) | |||||||
\(152\) | −11.4851 | − | 16.5571i | −0.931568 | − | 1.34296i | ||||
\(153\) | −3.50163 | + | 0.621137i | −0.283090 | + | 0.0502160i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.93449 | 0.316026 | ||||||||
\(156\) | −4.16595 | − | 17.7691i | −0.333543 | − | 1.42266i | ||||
\(157\) | 3.92218 | 0.313024 | 0.156512 | − | 0.987676i | \(-0.449975\pi\) | ||||
0.156512 | + | 0.987676i | \(0.449975\pi\) | |||||||
\(158\) | 9.29611 | + | 3.09553i | 0.739559 | + | 0.246267i | ||||
\(159\) | −9.70241 | + | 11.5749i | −0.769451 | + | 0.917952i | ||||
\(160\) | 0.165435 | − | 4.54014i | 0.0130788 | − | 0.358930i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −0.377643 | − | 12.7223i | −0.0296704 | − | 0.999560i | ||||
\(163\) | − | 7.30910i | − | 0.572493i | −0.958156 | − | 0.286246i | \(-0.907592\pi\) | ||
0.958156 | − | 0.286246i | \(-0.0924076\pi\) | |||||||
\(164\) | −8.59627 | + | 11.4764i | −0.671256 | + | 0.896153i | ||||
\(165\) | 2.09591 | − | 2.50041i | 0.163166 | − | 0.194656i | ||||
\(166\) | 2.31546 | − | 6.95348i | 0.179714 | − | 0.539695i | ||||
\(167\) | −8.37196 | −0.647842 | −0.323921 | − | 0.946084i | \(-0.605001\pi\) | ||||
−0.323921 | + | 0.946084i | \(0.605001\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 14.7579 | 1.13523 | ||||||||
\(170\) | 0.425376 | − | 1.27744i | 0.0326249 | − | 0.0979749i | ||||
\(171\) | 21.0444 | − | 3.73296i | 1.60930 | − | 0.285467i | ||||
\(172\) | −9.52398 | + | 12.7149i | −0.726196 | + | 0.969501i | ||||
\(173\) | 12.7711i | 0.970970i | 0.874245 | + | 0.485485i | \(0.161357\pi\) | ||||
−0.874245 | + | 0.485485i | \(0.838643\pi\) | |||||||
\(174\) | −5.43275 | − | 8.82665i | −0.411856 | − | 0.669147i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.63796 | + | 9.00331i | 0.198844 | + | 0.678650i | ||||
\(177\) | 0.878968 | + | 0.736774i | 0.0660673 | + | 0.0553793i | ||||
\(178\) | −21.9594 | − | 7.31232i | −1.64593 | − | 0.548082i | ||||
\(179\) | −21.1177 | −1.57841 | −0.789206 | − | 0.614129i | \(-0.789508\pi\) | ||||
−0.789206 | + | 0.614129i | \(0.789508\pi\) | |||||||
\(180\) | 4.30205 | + | 2.17086i | 0.320656 | + | 0.161806i | ||||
\(181\) | −12.4075 | −0.922239 | −0.461120 | − | 0.887338i | \(-0.652552\pi\) | ||||
−0.461120 | + | 0.887338i | \(0.652552\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.27181 | + | 1.06607i | 0.0940151 | + | 0.0788059i | ||||
\(184\) | −18.3299 | + | 12.7149i | −1.35130 | + | 0.937354i | ||||
\(185\) | 0.841636i | 0.0618783i | ||||||||
\(186\) | −6.28998 | − | 10.2194i | −0.461204 | − | 0.749323i | ||||
\(187\) | 2.78037i | 0.203321i | ||||||||
\(188\) | 9.76301 | + | 7.31290i | 0.712041 | + | 0.533348i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.55646 | + | 7.67724i | −0.185465 | + | 0.556966i | ||||
\(191\) | 6.09990 | 0.441374 | 0.220687 | − | 0.975345i | \(-0.429170\pi\) | ||||
0.220687 | + | 0.975345i | \(0.429170\pi\) | |||||||
\(192\) | −12.0570 | + | 6.82852i | −0.870139 | + | 0.492806i | ||||
\(193\) | 0.645008 | 0.0464287 | 0.0232144 | − | 0.999731i | \(-0.492610\pi\) | ||||
0.0232144 | + | 0.999731i | \(0.492610\pi\) | |||||||
\(194\) | −1.95622 | + | 5.87467i | −0.140448 | + | 0.421777i | ||||
\(195\) | −4.70802 | + | 5.61665i | −0.337149 | + | 0.402217i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 14.9111i | − | 1.06237i | −0.847256 | − | 0.531185i | \(-0.821747\pi\) | ||
0.847256 | − | 0.531185i | \(-0.178253\pi\) | |||||||
\(198\) | −9.84521 | − | 1.44654i | −0.699669 | − | 0.102801i | ||||
\(199\) | 18.6992i | 1.32555i | 0.748817 | + | 0.662777i | \(0.230622\pi\) | ||||
−0.748817 | + | 0.662777i | \(0.769378\pi\) | |||||||
\(200\) | 10.1211 | − | 7.02072i | 0.715671 | − | 0.496440i | ||||
\(201\) | 9.37559 | − | 11.1850i | 0.661303 | − | 0.788932i | ||||
\(202\) | 11.2620 | + | 3.75017i | 0.792394 | + | 0.263861i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.99804 | + | 0.937339i | −0.279919 | + | 0.0656269i | ||||
\(205\) | 5.75794 | 0.402152 | ||||||||
\(206\) | −3.44428 | − | 1.14692i | −0.239974 | − | 0.0799096i | ||||
\(207\) | −4.13266 | − | 23.2976i | −0.287240 | − | 1.61930i | ||||
\(208\) | −5.92564 | − | 20.2241i | −0.410869 | − | 1.40229i | ||||
\(209\) | − | 16.7097i | − | 1.15583i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.7243i | 0.807132i | 0.914950 | + | 0.403566i | \(0.132229\pi\) | ||||
−0.914950 | + | 0.403566i | \(0.867771\pi\) | |||||||
\(212\) | −10.4555 | + | 13.9584i | −0.718083 | + | 0.958670i | ||||
\(213\) | 12.8417 | + | 10.7642i | 0.879898 | + | 0.737553i | ||||
\(214\) | −2.72545 | + | 8.18472i | −0.186308 | + | 0.559496i | ||||
\(215\) | 6.37933 | 0.435067 | ||||||||
\(216\) | −1.23904 | − | 14.6446i | −0.0843057 | − | 0.996440i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −2.43547 | + | 7.31389i | −0.164951 | + | 0.495359i | ||||
\(219\) | −1.87723 | − | 1.57354i | −0.126851 | − | 0.106330i | ||||
\(220\) | 2.25858 | − | 3.01529i | 0.152273 | − | 0.203291i | ||||
\(221\) | − | 6.24553i | − | 0.420120i | ||||||
\(222\) | 2.18606 | − | 1.34550i | 0.146719 | − | 0.0903044i | ||||
\(223\) | 0.683260i | 0.0457545i | 0.999738 | + | 0.0228772i | \(0.00728269\pi\) | ||||
−0.999738 | + | 0.0228772i | \(0.992717\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.28191 | + | 12.8642i | 0.152128 | + | 0.857610i | ||||
\(226\) | 9.52398 | + | 3.17141i | 0.633525 | + | 0.210959i | ||||
\(227\) | 8.75387 | 0.581015 | 0.290507 | − | 0.956873i | \(-0.406176\pi\) | ||||
0.290507 | + | 0.956873i | \(0.406176\pi\) | |||||||
\(228\) | 24.0278 | − | 5.63330i | 1.59128 | − | 0.373075i | ||||
\(229\) | 18.4985 | 1.22242 | 0.611209 | − | 0.791469i | \(-0.290684\pi\) | ||||
0.611209 | + | 0.791469i | \(0.290684\pi\) | |||||||
\(230\) | 8.49926 | + | 2.83019i | 0.560425 | + | 0.186617i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.82135 | − | 9.83371i | −0.447844 | − | 0.645615i | ||||
\(233\) | 10.1391i | 0.664234i | 0.943238 | + | 0.332117i | \(0.107763\pi\) | ||||
−0.943238 | + | 0.332117i | \(0.892237\pi\) | |||||||
\(234\) | 22.1153 | + | 3.24936i | 1.44572 | + | 0.212417i | ||||
\(235\) | − | 4.89831i | − | 0.319531i | ||||||
\(236\) | 1.05996 | + | 0.793958i | 0.0689978 | + | 0.0516822i | ||||
\(237\) | −7.70873 | + | 9.19649i | −0.500736 | + | 0.597376i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.49470 | 0.0966841 | 0.0483421 | − | 0.998831i | \(-0.484606\pi\) | ||||
0.0483421 | + | 0.998831i | \(0.484606\pi\) | |||||||
\(240\) | 5.09727 | + | 2.23119i | 0.329027 | + | 0.144023i | ||||
\(241\) | 10.3337 | 0.665653 | 0.332827 | − | 0.942988i | \(-0.391998\pi\) | ||||
0.332827 | + | 0.942988i | \(0.391998\pi\) | |||||||
\(242\) | 2.45690 | − | 7.37824i | 0.157935 | − | 0.474291i | ||||
\(243\) | 14.6620 | + | 5.29396i | 0.940567 | + | 0.339608i | ||||
\(244\) | 1.53370 | + | 1.14881i | 0.0981853 | + | 0.0735449i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −9.20508 | − | 14.9556i | −0.586895 | − | 0.953535i | ||||
\(247\) | 37.5349i | 2.38829i | ||||||||
\(248\) | −7.89769 | − | 11.3854i | −0.501504 | − | 0.722971i | ||||
\(249\) | 6.87897 | + | 5.76613i | 0.435937 | + | 0.365413i | ||||
\(250\) | −10.0811 | − | 3.35692i | −0.637583 | − | 0.212310i | ||||
\(251\) | 26.9555 | 1.70142 | 0.850709 | − | 0.525636i | \(-0.176173\pi\) | ||||
0.850709 | + | 0.525636i | \(0.176173\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −18.4989 | −1.16301 | ||||||||
\(254\) | −5.58451 | − | 1.85960i | −0.350403 | − | 0.116682i | ||||
\(255\) | 1.26375 | + | 1.05930i | 0.0791389 | + | 0.0663362i | ||||
\(256\) | −13.4700 | + | 8.63469i | −0.841878 | + | 0.539668i | ||||
\(257\) | − | 2.79168i | − | 0.174140i | −0.996202 | − | 0.0870700i | \(-0.972250\pi\) | ||
0.996202 | − | 0.0870700i | \(-0.0277504\pi\) | |||||||
\(258\) | −10.1985 | − | 16.5696i | −0.634931 | − | 1.03158i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −5.07343 | + | 6.77323i | −0.314641 | + | 0.420058i | ||||
\(261\) | 12.4989 | − | 2.21711i | 0.773659 | − | 0.137236i | ||||
\(262\) | −4.68779 | + | 14.0778i | −0.289613 | + | 0.869728i | ||||
\(263\) | 15.3103 | 0.944074 | 0.472037 | − | 0.881579i | \(-0.343519\pi\) | ||||
0.472037 | + | 0.881579i | \(0.343519\pi\) | |||||||
\(264\) | −11.4426 | − | 1.04593i | −0.704245 | − | 0.0643726i | ||||
\(265\) | 7.00325 | 0.430206 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 18.2097 | − | 21.7241i | 1.11442 | − | 1.32949i | ||||
\(268\) | 10.1033 | − | 13.4883i | 0.617155 | − | 0.823927i | ||||
\(269\) | − | 30.6864i | − | 1.87098i | −0.353347 | − | 0.935492i | \(-0.614956\pi\) | ||
0.353347 | − | 0.935492i | \(-0.385044\pi\) | |||||||
\(270\) | −4.40846 | + | 3.92377i | −0.268290 | + | 0.238793i | ||||
\(271\) | 19.6862i | 1.19585i | 0.801550 | + | 0.597927i | \(0.204009\pi\) | ||||
−0.801550 | + | 0.597927i | \(0.795991\pi\) | |||||||
\(272\) | −4.55042 | + | 1.33327i | −0.275910 | + | 0.0808412i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −18.1033 | − | 6.02825i | −1.09366 | − | 0.364180i | ||||
\(275\) | 10.2144 | 0.615953 | ||||||||
\(276\) | −6.23647 | − | 26.6005i | −0.375391 | − | 1.60116i | ||||
\(277\) | −13.1129 | −0.787880 | −0.393940 | − | 0.919136i | \(-0.628888\pi\) | ||||
−0.393940 | + | 0.919136i | \(0.628888\pi\) | |||||||
\(278\) | −10.1608 | − | 3.38347i | −0.609404 | − | 0.202927i | ||||
\(279\) | 14.4710 | − | 2.56695i | 0.866358 | − | 0.153679i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 2.86670i | − | 0.171013i | −0.996338 | − | 0.0855066i | \(-0.972749\pi\) | ||
0.996338 | − | 0.0855066i | \(-0.0272509\pi\) | |||||||
\(282\) | −12.7228 | + | 7.83082i | −0.757634 | + | 0.466319i | ||||
\(283\) | 1.99040i | 0.118317i | 0.998249 | + | 0.0591585i | \(0.0188417\pi\) | ||||
−0.998249 | + | 0.0591585i | \(0.981158\pi\) | |||||||
\(284\) | 15.4860 | + | 11.5997i | 0.918927 | + | 0.688314i | ||||
\(285\) | −7.59497 | − | 6.36630i | −0.449887 | − | 0.377107i | ||||
\(286\) | 5.52122 | − | 16.5806i | 0.326477 | − | 0.980433i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −2.35362 | − | 16.8066i | −0.138689 | − | 0.990336i | ||||
\(289\) | 15.5948 | 0.917339 | ||||||||
\(290\) | −1.51836 | + | 4.55973i | −0.0891610 | + | 0.267757i | ||||
\(291\) | −5.81171 | − | 4.87153i | −0.340689 | − | 0.285574i | ||||
\(292\) | −2.26378 | − | 1.69567i | −0.132478 | − | 0.0992314i | ||||
\(293\) | − | 16.7482i | − | 0.978441i | −0.872160 | − | 0.489221i | \(-0.837281\pi\) | ||
0.872160 | − | 0.489221i | \(-0.162719\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 0.531807i | − | 0.0309630i | ||||||
\(296\) | 2.43547 | − | 1.68941i | 0.141559 | − | 0.0981952i | ||||
\(297\) | 6.07741 | − | 10.5639i | 0.352647 | − | 0.612980i | ||||
\(298\) | 21.6044 | + | 7.19411i | 1.25151 | + | 0.416743i | ||||
\(299\) | 41.5539 | 2.40312 | ||||||||
\(300\) | 3.44356 | + | 14.6879i | 0.198814 | + | 0.848004i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 23.3260 | + | 7.76737i | 1.34226 | + | 0.446962i | ||||
\(303\) | −9.33896 | + | 11.1413i | −0.536509 | + | 0.640054i | ||||
\(304\) | 27.3475 | − | 8.01279i | 1.56849 | − | 0.459565i | ||||
\(305\) | − | 0.769492i | − | 0.0440610i | ||||||
\(306\) | 0.731105 | − | 4.97593i | 0.0417945 | − | 0.284455i | ||||
\(307\) | − | 15.4869i | − | 0.883885i | −0.897043 | − | 0.441942i | \(-0.854290\pi\) | ||
0.897043 | − | 0.441942i | \(-0.145710\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.85614 | − | 3.40737i | 0.162480 | − | 0.193838i | ||||
\(310\) | −1.75794 | + | 5.27921i | −0.0998441 | + | 0.299839i | ||||
\(311\) | 10.8995 | 0.618051 | 0.309026 | − | 0.951054i | \(-0.399997\pi\) | ||||
0.309026 | + | 0.951054i | \(0.399997\pi\) | |||||||
\(312\) | 25.7035 | + | 2.34947i | 1.45517 | + | 0.133013i | ||||
\(313\) | −33.8022 | −1.91062 | −0.955308 | − | 0.295613i | \(-0.904476\pi\) | ||||
−0.955308 | + | 0.295613i | \(0.904476\pi\) | |||||||
\(314\) | −1.75244 | + | 5.26270i | −0.0988958 | + | 0.296991i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.30704 | + | 11.0902i | −0.467307 | + | 0.623874i | ||||
\(317\) | 9.28660i | 0.521588i | 0.965395 | + | 0.260794i | \(0.0839843\pi\) | ||||
−0.965395 | + | 0.260794i | \(0.916016\pi\) | |||||||
\(318\) | −11.1959 | − | 18.1902i | −0.627837 | − | 1.02005i | ||||
\(319\) | − | 9.92437i | − | 0.555658i | ||||||
\(320\) | 6.01795 | + | 2.25052i | 0.336413 | + | 0.125808i | ||||
\(321\) | −8.09701 | − | 6.78712i | −0.451931 | − | 0.378820i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.44536 | 0.469912 | ||||||||
\(324\) | 17.2393 | + | 5.17764i | 0.957737 | + | 0.287647i | ||||
\(325\) | −22.9446 | −1.27274 | ||||||||
\(326\) | 9.80719 | + | 3.26572i | 0.543170 | + | 0.180871i | ||||
\(327\) | −7.23552 | − | 6.06499i | −0.400125 | − | 0.335395i | ||||
\(328\) | −11.5579 | − | 16.6619i | −0.638178 | − | 0.920002i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 2.41854 | + | 3.92943i | 0.133136 | + | 0.216308i | ||||
\(331\) | 1.01495i | 0.0557864i | 0.999611 | + | 0.0278932i | \(0.00887984\pi\) | ||||
−0.999611 | + | 0.0278932i | \(0.991120\pi\) | |||||||
\(332\) | 8.29548 | + | 6.21366i | 0.455274 | + | 0.341019i | ||||
\(333\) | 0.549103 | + | 3.09553i | 0.0300906 | + | 0.169634i | ||||
\(334\) | 3.74061 | − | 11.2333i | 0.204677 | − | 0.614659i | ||||
\(335\) | −6.76735 | −0.369740 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.6597 | −0.689620 | −0.344810 | − | 0.938673i | \(-0.612057\pi\) | ||||
−0.344810 | + | 0.938673i | \(0.612057\pi\) | |||||||
\(338\) | −6.59387 | + | 19.8019i | −0.358659 | + | 1.07708i | ||||
\(339\) | −7.89769 | + | 9.42191i | −0.428944 | + | 0.511728i | ||||
\(340\) | 1.52398 | + | 1.14152i | 0.0826492 | + | 0.0619077i | ||||
\(341\) | − | 11.4903i | − | 0.622236i | ||||||
\(342\) | −4.39386 | + | 29.9048i | −0.237593 | + | 1.61706i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −12.8052 | − | 18.4601i | −0.690411 | − | 0.995302i | ||||
\(345\) | −7.04795 | + | 8.40818i | −0.379449 | + | 0.452681i | ||||
\(346\) | −17.1360 | − | 5.70616i | −0.921237 | − | 0.306765i | ||||
\(347\) | −25.6286 | −1.37581 | −0.687907 | − | 0.725799i | \(-0.741470\pi\) | ||||
−0.687907 | + | 0.725799i | \(0.741470\pi\) | |||||||
\(348\) | 14.2708 | − | 3.34578i | 0.764994 | − | 0.179353i | ||||
\(349\) | 28.1235 | 1.50542 | 0.752709 | − | 0.658354i | \(-0.228747\pi\) | ||||
0.752709 | + | 0.658354i | \(0.228747\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −13.6517 | + | 23.7297i | −0.728672 | + | 1.26660i | ||||
\(352\) | −13.2591 | − | 0.483138i | −0.706712 | − | 0.0257513i | ||||
\(353\) | 10.3049i | 0.548474i | 0.961662 | + | 0.274237i | \(0.0884253\pi\) | ||||
−0.961662 | + | 0.274237i | \(0.911575\pi\) | |||||||
\(354\) | −1.38131 | + | 0.850188i | −0.0734159 | + | 0.0451870i | ||||
\(355\) | − | 7.76968i | − | 0.412372i | ||||||
\(356\) | 19.6230 | − | 26.1975i | 1.04002 | − | 1.38847i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.43543 | − | 28.3353i | 0.498678 | − | 1.49757i | ||||
\(359\) | −26.8394 | −1.41653 | −0.708265 | − | 0.705947i | \(-0.750522\pi\) | ||||
−0.708265 | + | 0.705947i | \(0.750522\pi\) | |||||||
\(360\) | −4.83497 | + | 4.80246i | −0.254825 | + | 0.253112i | ||||
\(361\) | −31.7556 | −1.67135 | ||||||||
\(362\) | 5.54368 | − | 16.6481i | 0.291369 | − | 0.875003i | ||||
\(363\) | 7.29917 | + | 6.11835i | 0.383107 | + | 0.321130i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.13579i | 0.0594499i | ||||||||
\(366\) | −1.99867 | + | 1.23017i | −0.104472 | + | 0.0643020i | ||||
\(367\) | 13.3519i | 0.696964i | 0.937315 | + | 0.348482i | \(0.113303\pi\) | ||||
−0.937315 | + | 0.348482i | \(0.886697\pi\) | |||||||
\(368\) | −8.87073 | − | 30.2756i | −0.462419 | − | 1.57823i | ||||
\(369\) | 21.1777 | − | 3.75661i | 1.10247 | − | 0.195561i | ||||
\(370\) | −1.12929 | − | 0.376045i | −0.0587089 | − | 0.0195496i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 16.5225 | − | 3.87371i | 0.856654 | − | 0.200842i | ||||
\(373\) | −22.8059 | −1.18084 | −0.590422 | − | 0.807095i | \(-0.701039\pi\) | ||||
−0.590422 | + | 0.807095i | \(0.701039\pi\) | |||||||
\(374\) | −3.73064 | − | 1.24227i | −0.192907 | − | 0.0642365i | ||||
\(375\) | 8.35966 | − | 9.97304i | 0.431691 | − | 0.515006i | ||||
\(376\) | −14.1744 | + | 9.83237i | −0.730990 | + | 0.507066i | ||||
\(377\) | 22.2931i | 1.14815i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 1.98122i | − | 0.101768i | −0.998705 | − | 0.0508842i | \(-0.983796\pi\) | ||
0.998705 | − | 0.0508842i | \(-0.0162040\pi\) | |||||||
\(380\) | −9.15892 | − | 6.86041i | −0.469843 | − | 0.351932i | ||||
\(381\) | 4.63091 | − | 5.52466i | 0.237249 | − | 0.283037i | ||||
\(382\) | −2.72545 | + | 8.18472i | −0.139446 | + | 0.418767i | ||||
\(383\) | −28.8209 | −1.47268 | −0.736339 | − | 0.676613i | \(-0.763447\pi\) | ||||
−0.736339 | + | 0.676613i | \(0.763447\pi\) | |||||||
\(384\) | −3.77527 | − | 19.2288i | −0.192656 | − | 0.981266i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −0.288191 | + | 0.865458i | −0.0146685 | + | 0.0440506i | ||||
\(387\) | 23.4632 | − | 4.16202i | 1.19270 | − | 0.211567i | ||||
\(388\) | −7.00846 | − | 5.24963i | −0.355801 | − | 0.266509i | ||||
\(389\) | 1.95975i | 0.0993630i | 0.998765 | + | 0.0496815i | \(0.0158206\pi\) | ||||
−0.998765 | + | 0.0496815i | \(0.984179\pi\) | |||||||
\(390\) | −5.43275 | − | 8.82665i | −0.275098 | − | 0.446955i | ||||
\(391\) | − | 9.34962i | − | 0.472831i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −13.9269 | − | 11.6739i | −0.702520 | − | 0.588870i | ||||
\(394\) | 20.0074 | + | 6.66230i | 1.00796 | + | 0.335642i | ||||
\(395\) | 5.56421 | 0.279966 | ||||||||
\(396\) | 6.33980 | − | 12.5638i | 0.318587 | − | 0.631353i | ||||
\(397\) | 4.56310 | 0.229015 | 0.114508 | − | 0.993422i | \(-0.463471\pi\) | ||||
0.114508 | + | 0.993422i | \(0.463471\pi\) | |||||||
\(398\) | −25.0902 | − | 8.35485i | −1.25766 | − | 0.418791i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.89811 | + | 16.7172i | 0.244906 | + | 0.835858i | ||||
\(401\) | − | 26.7811i | − | 1.33738i | −0.743539 | − | 0.668692i | \(-0.766854\pi\) | ||
0.743539 | − | 0.668692i | \(-0.233146\pi\) | |||||||
\(402\) | 10.8188 | + | 17.5775i | 0.539593 | + | 0.876684i | ||||
\(403\) | 25.8107i | 1.28572i | ||||||||
\(404\) | −10.0638 | + | 13.4356i | −0.500693 | + | 0.668444i | ||||
\(405\) | −2.48610 | − | 6.78712i | −0.123535 | − | 0.337255i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.45792 | 0.121835 | ||||||||
\(408\) | 0.528631 | − | 5.78329i | 0.0261711 | − | 0.286315i | ||||
\(409\) | −18.0424 | −0.892142 | −0.446071 | − | 0.894998i | \(-0.647177\pi\) | ||||
−0.446071 | + | 0.894998i | \(0.647177\pi\) | |||||||
\(410\) | −2.57266 | + | 7.72587i | −0.127054 | + | 0.381554i | ||||
\(411\) | 15.0120 | − | 17.9093i | 0.740488 | − | 0.883399i | ||||
\(412\) | 3.07782 | − | 4.10901i | 0.151633 | − | 0.202436i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 33.1067 | + | 4.86432i | 1.62711 | + | 0.239068i | ||||
\(415\) | − | 4.16202i | − | 0.204306i | ||||||
\(416\) | 29.7838 | + | 1.08527i | 1.46027 | + | 0.0532098i | ||||
\(417\) | 8.42577 | − | 10.0519i | 0.412612 | − | 0.492244i | ||||
\(418\) | 22.4207 | + | 7.46593i | 1.09663 | + | 0.365171i | ||||
\(419\) | −17.5395 | −0.856861 | −0.428430 | − | 0.903575i | \(-0.640933\pi\) | ||||
−0.428430 | + | 0.903575i | \(0.640933\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.4006 | 0.750582 | 0.375291 | − | 0.926907i | \(-0.377543\pi\) | ||||
0.375291 | + | 0.926907i | \(0.377543\pi\) | |||||||
\(422\) | −15.7314 | − | 5.23843i | −0.765791 | − | 0.255003i | ||||
\(423\) | −3.19577 | − | 18.0160i | −0.155384 | − | 0.875967i | ||||
\(424\) | −14.0576 | − | 20.2656i | −0.682698 | − | 0.984182i | ||||
\(425\) | 5.16254i | 0.250420i | ||||||||
\(426\) | −20.1809 | + | 12.4212i | −0.977767 | + | 0.601810i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −9.76434 | − | 7.31389i | −0.471977 | − | 0.353530i | ||||
\(429\) | 16.4029 | + | 13.7494i | 0.791942 | + | 0.663826i | ||||
\(430\) | −2.85030 | + | 8.55965i | −0.137454 | + | 0.412783i | ||||
\(431\) | 9.00360 | 0.433688 | 0.216844 | − | 0.976206i | \(-0.430424\pi\) | ||||
0.216844 | + | 0.976206i | \(0.430424\pi\) | |||||||
\(432\) | 20.2034 | + | 4.88073i | 0.972038 | + | 0.234824i | ||||
\(433\) | 6.15889 | 0.295977 | 0.147989 | − | 0.988989i | \(-0.452720\pi\) | ||||
0.147989 | + | 0.988989i | \(0.452720\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.51087 | − | 3.78113i | −0.216280 | − | 0.181291i | ||||
\(436\) | −8.72545 | − | 6.53572i | −0.417873 | − | 0.313004i | ||||
\(437\) | 56.1901i | 2.68794i | ||||||||
\(438\) | 2.95009 | − | 1.81576i | 0.140961 | − | 0.0867604i | ||||
\(439\) | 29.2493i | 1.39599i | 0.716102 | + | 0.697996i | \(0.245925\pi\) | ||||
−0.716102 | + | 0.697996i | \(0.754075\pi\) | |||||||
\(440\) | 3.03671 | + | 4.37775i | 0.144770 | + | 0.208701i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 8.38012 | + | 2.79052i | 0.398602 | + | 0.132731i | ||||
\(443\) | −7.21640 | −0.342861 | −0.171431 | − | 0.985196i | \(-0.554839\pi\) | ||||
−0.171431 | + | 0.985196i | \(0.554839\pi\) | |||||||
\(444\) | 0.828634 | + | 3.53438i | 0.0393252 | + | 0.167734i | ||||
\(445\) | −13.1439 | −0.623079 | ||||||||
\(446\) | −0.916783 | − | 0.305282i | −0.0434109 | − | 0.0144555i | ||||
\(447\) | −17.9153 | + | 21.3729i | −0.847365 | + | 1.01090i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 4.43423i | − | 0.209264i | −0.994511 | − | 0.104632i | \(-0.966634\pi\) | ||
0.994511 | − | 0.104632i | \(-0.0333665\pi\) | |||||||
\(450\) | −18.2804 | − | 2.68591i | −0.861746 | − | 0.126615i | ||||
\(451\) | − | 16.8155i | − | 0.791813i | ||||||
\(452\) | −8.51066 | + | 11.3621i | −0.400308 | + | 0.534427i | ||||
\(453\) | −19.3429 | + | 23.0760i | −0.908809 | + | 1.08421i | ||||
\(454\) | −3.91125 | + | 11.7458i | −0.183564 | + | 0.551256i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.17701 | + | 34.7569i | −0.148777 | + | 1.62764i | ||||
\(457\) | 13.6620 | 0.639083 | 0.319541 | − | 0.947572i | \(-0.396471\pi\) | ||||
0.319541 | + | 0.947572i | \(0.396471\pi\) | |||||||
\(458\) | −8.26518 | + | 24.8209i | −0.386207 | + | 1.15981i | ||||
\(459\) | 5.33917 | + | 3.07162i | 0.249211 | + | 0.143371i | ||||
\(460\) | −7.59497 | + | 10.1396i | −0.354117 | + | 0.472761i | ||||
\(461\) | 5.25789i | 0.244885i | 0.992476 | + | 0.122442i | \(0.0390726\pi\) | ||||
−0.992476 | + | 0.122442i | \(0.960927\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.8863i | 0.738299i | 0.929370 | + | 0.369149i | \(0.120351\pi\) | ||||
−0.929370 | + | 0.369149i | \(0.879649\pi\) | |||||||
\(464\) | 16.2425 | − | 4.75902i | 0.754037 | − | 0.220932i | ||||
\(465\) | −5.22264 | − | 4.37775i | −0.242194 | − | 0.203013i | ||||
\(466\) | −13.6044 | − | 4.53017i | −0.630212 | − | 0.209856i | ||||
\(467\) | −27.0767 | −1.25296 | −0.626481 | − | 0.779437i | \(-0.715505\pi\) | ||||
−0.626481 | + | 0.779437i | \(0.715505\pi\) | |||||||
\(468\) | −14.2411 | + | 28.2219i | −0.658293 | + | 1.30456i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 6.57245 | + | 2.18858i | 0.303164 | + | 0.100951i | ||||
\(471\) | −5.20630 | − | 4.36405i | −0.239894 | − | 0.201085i | ||||
\(472\) | −1.53891 | + | 1.06750i | −0.0708340 | + | 0.0491355i | ||||
\(473\) | − | 18.6303i | − | 0.856621i | ||||||
\(474\) | −8.89537 | − | 14.4524i | −0.408578 | − | 0.663822i | ||||
\(475\) | − | 31.0263i | − | 1.42358i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 25.7579 | − | 4.56908i | 1.17937 | − | 0.209204i | ||||
\(478\) | −0.667835 | + | 2.00556i | −0.0305461 | + | 0.0917320i | ||||
\(479\) | −15.2605 | −0.697271 | −0.348635 | − | 0.937258i | \(-0.613355\pi\) | ||||
−0.348635 | + | 0.937258i | \(0.613355\pi\) | |||||||
\(480\) | −5.27123 | + | 5.84251i | −0.240598 | + | 0.266673i | ||||
\(481\) | −5.52122 | −0.251746 | ||||||||
\(482\) | −4.61712 | + | 13.8655i | −0.210304 | + | 0.631558i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 8.80221 | + | 6.59322i | 0.400100 | + | 0.299692i | ||||
\(485\) | 3.51629i | 0.159667i | ||||||||
\(486\) | −13.6543 | + | 17.3078i | −0.619373 | + | 0.785097i | ||||
\(487\) | 6.06417i | 0.274794i | 0.990516 | + | 0.137397i | \(0.0438736\pi\) | ||||
−0.990516 | + | 0.137397i | \(0.956126\pi\) | |||||||
\(488\) | −2.22671 | + | 1.54460i | −0.100798 | + | 0.0699208i | ||||
\(489\) | −8.13254 | + | 9.70209i | −0.367766 | + | 0.438744i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4.03833 | −0.182247 | −0.0911235 | − | 0.995840i | \(-0.529046\pi\) | ||||
−0.0911235 | + | 0.995840i | \(0.529046\pi\) | |||||||
\(492\) | 24.1800 | − | 5.66898i | 1.09012 | − | 0.255578i | ||||
\(493\) | 5.01594 | 0.225906 | ||||||||
\(494\) | −50.3636 | − | 16.7707i | −2.26596 | − | 0.754549i | ||||
\(495\) | −5.56421 | + | 0.987009i | −0.250092 | + | 0.0443627i | ||||
\(496\) | 18.8053 | − | 5.50994i | 0.844384 | − | 0.247404i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −10.8104 | + | 6.65373i | −0.484426 | + | 0.298161i | ||||
\(499\) | − | 38.5012i | − | 1.72355i | −0.507290 | − | 0.861776i | \(-0.669353\pi\) | ||
0.507290 | − | 0.861776i | \(-0.330647\pi\) | |||||||
\(500\) | 9.00848 | − | 12.0267i | 0.402872 | − | 0.537849i | ||||
\(501\) | 11.1129 | + | 9.31514i | 0.496489 | + | 0.416170i | ||||
\(502\) | −12.0438 | + | 36.1684i | −0.537541 | + | 1.61427i | ||||
\(503\) | 14.3498 | 0.639827 | 0.319914 | − | 0.947447i | \(-0.396346\pi\) | ||||
0.319914 | + | 0.947447i | \(0.396346\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.74091 | 0.299967 | ||||||||
\(506\) | 8.26532 | − | 24.8213i | 0.367438 | − | 1.10344i | ||||
\(507\) | −19.5897 | − | 16.4206i | −0.870008 | − | 0.729263i | ||||
\(508\) | 4.99034 | − | 6.66230i | 0.221410 | − | 0.295592i | ||||
\(509\) | − | 12.0835i | − | 0.535593i | −0.963476 | − | 0.267796i | \(-0.913705\pi\) | ||
0.963476 | − | 0.267796i | \(-0.0862955\pi\) | |||||||
\(510\) | −1.98600 | + | 1.22237i | −0.0879414 | + | 0.0541274i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −5.56740 | − | 21.9318i | −0.246047 | − | 0.969258i | ||||
\(513\) | −32.0878 | − | 18.4601i | −1.41671 | − | 0.815033i | ||||
\(514\) | 3.74581 | + | 1.24733i | 0.165221 | + | 0.0550172i | ||||
\(515\) | −2.06158 | −0.0908440 | ||||||||
\(516\) | 26.7895 | − | 6.28078i | 1.17934 | − | 0.276496i | ||||
\(517\) | −14.3051 | −0.629137 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 14.2099 | − | 16.9524i | 0.623746 | − | 0.744126i | ||||
\(520\) | −6.82135 | − | 9.83371i | −0.299136 | − | 0.431237i | ||||
\(521\) | − | 31.8700i | − | 1.39625i | −0.715976 | − | 0.698125i | \(-0.754018\pi\) | ||
0.715976 | − | 0.698125i | \(-0.245982\pi\) | |||||||
\(522\) | −2.60964 | + | 17.7613i | −0.114221 | + | 0.777391i | ||||
\(523\) | − | 36.6085i | − | 1.60078i | −0.599481 | − | 0.800389i | \(-0.704626\pi\) | ||
0.599481 | − | 0.800389i | \(-0.295374\pi\) | |||||||
\(524\) | −16.7947 | − | 12.5800i | −0.733682 | − | 0.549558i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −6.84068 | + | 20.5430i | −0.298268 | + | 0.895719i | ||||
\(527\) | 5.80740 | 0.252974 | ||||||||
\(528\) | 6.51599 | − | 14.8861i | 0.283572 | − | 0.647836i | ||||
\(529\) | 39.2065 | 1.70463 | ||||||||
\(530\) | −3.12907 | + | 9.39681i | −0.135918 | + | 0.408171i | ||||
\(531\) | −0.346963 | − | 1.95599i | −0.0150569 | − | 0.0848825i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 37.7727i | 1.63612i | ||||||||
\(534\) | 21.0128 | + | 34.1397i | 0.909312 | + | 1.47737i | ||||
\(535\) | 4.89898i | 0.211801i | ||||||||
\(536\) | 13.5841 | + | 19.5829i | 0.586743 | + | 0.845853i | ||||
\(537\) | 28.0316 | + | 23.4968i | 1.20965 | + | 1.01396i | ||||
\(538\) | 41.1744 | + | 13.7108i | 1.77515 | + | 0.591113i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −3.29512 | − | 7.66832i | −0.141799 | − | 0.329992i | ||||
\(541\) | −36.2065 | −1.55664 | −0.778320 | − | 0.627867i | \(-0.783928\pi\) | ||||
−0.778320 | + | 0.627867i | \(0.783928\pi\) | |||||||
\(542\) | −26.4146 | − | 8.79585i | −1.13460 | − | 0.377814i | ||||
\(543\) | 16.4697 | + | 13.8053i | 0.706781 | + | 0.592442i | ||||
\(544\) | 0.244186 | − | 6.70136i | 0.0104694 | − | 0.287318i | ||||
\(545\) | 4.37775i | 0.187522i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 31.3917i | − | 1.34221i | −0.741361 | − | 0.671106i | \(-0.765820\pi\) | ||
0.741361 | − | 0.671106i | \(-0.234180\pi\) | |||||||
\(548\) | 16.1771 | − | 21.5971i | 0.691053 | − | 0.922584i | ||||
\(549\) | −0.502034 | − | 2.83019i | −0.0214263 | − | 0.120790i | ||||
\(550\) | −4.56383 | + | 13.7055i | −0.194602 | + | 0.584404i | ||||
\(551\) | −30.1452 | −1.28423 | ||||||||
\(552\) | 38.4784 | + | 3.51718i | 1.63775 | + | 0.149701i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 5.85888 | − | 17.5946i | 0.248920 | − | 0.747525i | ||||
\(555\) | 0.936455 | − | 1.11719i | 0.0397503 | − | 0.0474219i | ||||
\(556\) | 9.07973 | − | 12.1218i | 0.385066 | − | 0.514079i | ||||
\(557\) | 35.2982i | 1.49563i | 0.663906 | + | 0.747816i | \(0.268898\pi\) | ||||
−0.663906 | + | 0.747816i | \(0.731102\pi\) | |||||||
\(558\) | −3.02141 | + | 20.5638i | −0.127906 | + | 0.870536i | ||||
\(559\) | 41.8491i | 1.77003i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.09361 | − | 3.69066i | 0.130612 | − | 0.155820i | ||||
\(562\) | 3.84648 | + | 1.28085i | 0.162254 | + | 0.0540293i | ||||
\(563\) | 26.4463 | 1.11458 | 0.557290 | − | 0.830318i | \(-0.311841\pi\) | ||||
0.557290 | + | 0.830318i | \(0.311841\pi\) | |||||||
\(564\) | −4.82264 | − | 20.5700i | −0.203070 | − | 0.866155i | ||||
\(565\) | 5.70060 | 0.239826 | ||||||||
\(566\) | −2.67067 | − | 0.889314i | −0.112257 | − | 0.0373807i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −22.4834 | + | 15.5961i | −0.943382 | + | 0.654396i | ||||
\(569\) | 27.4048i | 1.14887i | 0.818551 | + | 0.574434i | \(0.194778\pi\) | ||||
−0.818551 | + | 0.574434i | \(0.805222\pi\) | |||||||
\(570\) | 11.9356 | − | 7.34629i | 0.499928 | − | 0.307702i | ||||
\(571\) | 28.0937i | 1.17569i | 0.808975 | + | 0.587843i | \(0.200023\pi\) | ||||
−0.808975 | + | 0.587843i | \(0.799977\pi\) | |||||||
\(572\) | 19.7806 | + | 14.8165i | 0.827070 | + | 0.619509i | ||||
\(573\) | −8.09701 | − | 6.78712i | −0.338257 | − | 0.283536i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −34.3483 | −1.43242 | ||||||||
\(576\) | 23.6023 | + | 4.35116i | 0.983428 | + | 0.181298i | ||||
\(577\) | 22.8309 | 0.950461 | 0.475231 | − | 0.879861i | \(-0.342365\pi\) | ||||
0.475231 | + | 0.879861i | \(0.342365\pi\) | |||||||
\(578\) | −6.96777 | + | 20.9247i | −0.289821 | + | 0.870353i | ||||
\(579\) | −0.856183 | − | 0.717675i | −0.0355818 | − | 0.0298255i | ||||
\(580\) | −5.43974 | − | 4.07459i | −0.225873 | − | 0.169188i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 9.13319 | − | 5.62142i | 0.378583 | − | 0.233015i | ||||
\(583\) | − | 20.4524i | − | 0.847051i | ||||||
\(584\) | 3.28667 | − | 2.27987i | 0.136003 | − | 0.0943415i | ||||
\(585\) | 12.4989 | − | 2.21711i | 0.516764 | − | 0.0916664i | ||||
\(586\) | 22.4724 | + | 7.48314i | 0.928326 | + | 0.309126i | ||||
\(587\) | −28.4011 | −1.17224 | −0.586119 | − | 0.810225i | \(-0.699345\pi\) | ||||
−0.586119 | + | 0.810225i | \(0.699345\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −34.9018 | −1.43810 | ||||||||
\(590\) | 0.713567 | + | 0.237612i | 0.0293771 | + | 0.00978235i | ||||
\(591\) | −16.5910 | + | 19.7930i | −0.682461 | + | 0.814173i | ||||
\(592\) | 1.17865 | + | 4.02270i | 0.0484420 | + | 0.165332i | ||||
\(593\) | − | 23.8791i | − | 0.980598i | −0.871554 | − | 0.490299i | \(-0.836887\pi\) | ||
0.871554 | − | 0.490299i | \(-0.163113\pi\) | |||||||
\(594\) | 11.4590 | + | 12.8745i | 0.470169 | + | 0.528247i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −19.3058 | + | 25.7740i | −0.790796 | + | 1.05574i | ||||
\(597\) | 20.8059 | − | 24.8213i | 0.851528 | − | 1.01587i | ||||
\(598\) | −18.5664 | + | 55.7561i | −0.759235 | + | 2.28004i | ||||
\(599\) | 39.1249 | 1.59860 | 0.799300 | − | 0.600932i | \(-0.205204\pi\) | ||||
0.799300 | + | 0.600932i | \(0.205204\pi\) | |||||||
\(600\) | −21.2464 | − | 1.94207i | −0.867382 | − | 0.0792845i | ||||
\(601\) | 4.88356 | 0.199204 | 0.0996022 | − | 0.995027i | \(-0.468243\pi\) | ||||
0.0996022 | + | 0.995027i | \(0.468243\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −24.8903 | + | 4.41518i | −1.01361 | + | 0.179800i | ||||
\(604\) | −20.8442 | + | 27.8278i | −0.848138 | + | 1.13230i | ||||
\(605\) | − | 4.41626i | − | 0.179546i | ||||||
\(606\) | −10.7765 | − | 17.5088i | −0.437767 | − | 0.711246i | ||||
\(607\) | − | 31.7259i | − | 1.28771i | −0.765145 | − | 0.643857i | \(-0.777333\pi\) | ||
0.765145 | − | 0.643857i | \(-0.222667\pi\) | |||||||
\(608\) | −1.46753 | + | 40.2744i | −0.0595161 | + | 1.63334i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.03249 | + | 0.343811i | 0.0418042 | + | 0.0139205i | ||||
\(611\) | 32.1335 | 1.29998 | ||||||||
\(612\) | 6.34993 | + | 3.20424i | 0.256681 | + | 0.129524i | ||||
\(613\) | 32.9668 | 1.33152 | 0.665758 | − | 0.746168i | \(-0.268108\pi\) | ||||
0.665758 | + | 0.746168i | \(0.268108\pi\) | |||||||
\(614\) | 20.7800 | + | 6.91958i | 0.838612 | + | 0.279252i | ||||
\(615\) | −7.64308 | − | 6.40662i | −0.308199 | − | 0.258340i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 14.3990i | 0.579680i | 0.957075 | + | 0.289840i | \(0.0936021\pi\) | ||||
−0.957075 | + | 0.289840i | \(0.906398\pi\) | |||||||
\(618\) | 3.29580 | + | 5.35473i | 0.132577 | + | 0.215399i | ||||
\(619\) | − | 24.6919i | − | 0.992453i | −0.868193 | − | 0.496226i | \(-0.834719\pi\) | ||
0.868193 | − | 0.496226i | \(-0.165281\pi\) | |||||||
\(620\) | −6.29808 | − | 4.71752i | −0.252937 | − | 0.189460i | ||||
\(621\) | −20.4367 | + | 35.5235i | −0.820095 | + | 1.42551i | ||||
\(622\) | −4.86990 | + | 14.6246i | −0.195265 | + | 0.586395i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −14.6368 | + | 33.4387i | −0.585943 | + | 1.33862i | ||||
\(625\) | 15.7409 | 0.629637 | ||||||||
\(626\) | 15.1029 | − | 45.3551i | 0.603634 | − | 1.81275i | ||||
\(627\) | −18.5922 | + | 22.1805i | −0.742502 | + | 0.885802i | ||||
\(628\) | −6.27838 | − | 4.70277i | −0.250535 | − | 0.187661i | ||||
\(629\) | 1.24227i | 0.0495327i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.8863i | 0.632423i | 0.948689 | + | 0.316212i | \(0.102411\pi\) | ||||
−0.948689 | + | 0.316212i | \(0.897589\pi\) | |||||||
\(632\) | −11.1690 | − | 16.1013i | −0.444280 | − | 0.640477i | ||||
\(633\) | 13.0451 | − | 15.5628i | 0.518497 | − | 0.618565i | ||||
\(634\) | −12.4606 | − | 4.14927i | −0.494872 | − | 0.164789i | ||||
\(635\) | −3.34262 | −0.132648 | ||||||||
\(636\) | 29.4096 | − | 6.89506i | 1.16616 | − | 0.273407i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 13.3163 | + | 4.43423i | 0.527197 | + | 0.175553i | ||||
\(639\) | −5.06912 | − | 28.5768i | −0.200531 | − | 1.13048i | ||||
\(640\) | −5.70853 | + | 7.06921i | −0.225649 | + | 0.279435i | ||||
\(641\) | − | 19.3998i | − | 0.766245i | −0.923698 | − | 0.383122i | \(-0.874849\pi\) | ||
0.923698 | − | 0.383122i | \(-0.125151\pi\) | |||||||
\(642\) | 12.7246 | − | 7.83189i | 0.502198 | − | 0.309100i | ||||
\(643\) | 37.0568i | 1.46138i | 0.682710 | + | 0.730690i | \(0.260801\pi\) | ||||
−0.682710 | + | 0.730690i | \(0.739199\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.46792 | − | 7.09803i | −0.333424 | − | 0.279485i | ||||
\(646\) | −3.77340 | + | 11.3318i | −0.148462 | + | 0.445843i | ||||
\(647\) | −45.4057 | −1.78508 | −0.892542 | − | 0.450965i | \(-0.851080\pi\) | ||||
−0.892542 | + | 0.450965i | \(0.851080\pi\) | |||||||
\(648\) | −14.6498 | + | 20.8179i | −0.575498 | + | 0.817803i | ||||
\(649\) | −1.55310 | −0.0609644 | ||||||||
\(650\) | 10.2517 | − | 30.7866i | 0.402105 | − | 1.20755i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −8.76374 | + | 11.6999i | −0.343215 | + | 0.458205i | ||||
\(653\) | − | 0.987349i | − | 0.0386380i | −0.999813 | − | 0.0193190i | \(-0.993850\pi\) | ||
0.999813 | − | 0.0193190i | \(-0.00614981\pi\) | |||||||
\(654\) | 11.3707 | − | 6.99861i | 0.444630 | − | 0.273667i | ||||
\(655\) | 8.42629i | 0.329242i | ||||||||
\(656\) | 27.5207 | − | 8.06354i | 1.07450 | − | 0.314828i | ||||
\(657\) | 0.741015 | + | 4.17743i | 0.0289097 | + | 0.162977i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.67629 | 0.260071 | 0.130036 | − | 0.991509i | \(-0.458491\pi\) | ||||
0.130036 | + | 0.991509i | \(0.458491\pi\) | |||||||
\(660\) | −6.35303 | + | 1.48946i | −0.247291 | + | 0.0579773i | ||||
\(661\) | −2.71141 | −0.105462 | −0.0527309 | − | 0.998609i | \(-0.516793\pi\) | ||||
−0.0527309 | + | 0.998609i | \(0.516793\pi\) | |||||||
\(662\) | −1.36183 | − | 0.453479i | −0.0529291 | − | 0.0176250i | ||||
\(663\) | −6.94915 | + | 8.29031i | −0.269883 | + | 0.321969i | ||||
\(664\) | −12.0438 | + | 8.35442i | −0.467390 | + | 0.324214i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.39886 | − | 0.646317i | −0.170452 | − | 0.0250443i | ||||
\(667\) | 33.3729i | 1.29220i | ||||||||
\(668\) | 13.4013 | + | 10.0381i | 0.518512 | + | 0.388387i | ||||
\(669\) | 0.760236 | − | 0.906959i | 0.0293924 | − | 0.0350651i | ||||
\(670\) | 3.02367 | − | 9.08028i | 0.116814 | − | 0.350802i | ||||
\(671\) | −2.24723 | −0.0867535 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 37.2088 | 1.43430 | 0.717148 | − | 0.696921i | \(-0.245447\pi\) | ||||
0.717148 | + | 0.696921i | \(0.245447\pi\) | |||||||
\(674\) | 5.65639 | − | 16.9865i | 0.217876 | − | 0.654297i | ||||
\(675\) | 11.2844 | − | 19.6149i | 0.434337 | − | 0.754976i | ||||
\(676\) | −23.6236 | − | 17.6950i | −0.908599 | − | 0.680578i | ||||
\(677\) | 11.1282i | 0.427691i | 0.976867 | + | 0.213846i | \(0.0685990\pi\) | ||||
−0.976867 | + | 0.213846i | \(0.931401\pi\) | |||||||
\(678\) | −9.11341 | − | 14.8067i | −0.349999 | − | 0.568647i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −2.21258 | + | 1.53480i | −0.0848487 | + | 0.0588570i | ||||
\(681\) | −11.6199 | − | 9.74008i | −0.445275 | − | 0.373241i | ||||
\(682\) | 15.4175 | + | 5.13390i | 0.590365 | + | 0.196587i | ||||
\(683\) | 9.67432 | 0.370178 | 0.185089 | − | 0.982722i | \(-0.440743\pi\) | ||||
0.185089 | + | 0.982722i | \(0.440743\pi\) | |||||||
\(684\) | −38.1624 | − | 19.2571i | −1.45918 | − | 0.736313i | ||||
\(685\) | −10.8357 | −0.414013 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −24.5549 | − | 20.5826i | −0.936829 | − | 0.785274i | ||||
\(688\) | 30.4907 | − | 8.93376i | 1.16245 | − | 0.340596i | ||||
\(689\) | 45.9421i | 1.75025i | ||||||||
\(690\) | −8.13287 | − | 13.2136i | −0.309613 | − | 0.503032i | ||||
\(691\) | 8.32473i | 0.316688i | 0.987384 | + | 0.158344i | \(0.0506154\pi\) | ||||
−0.987384 | + | 0.158344i | \(0.949385\pi\) | |||||||
\(692\) | 15.3128 | − | 20.4432i | 0.582105 | − | 0.777133i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 11.4509 | − | 34.3879i | 0.434670 | − | 1.30535i | ||||
\(695\) | −6.08177 | −0.230695 | ||||||||
\(696\) | −1.88692 | + | 20.6431i | −0.0715234 | + | 0.782475i | ||||
\(697\) | 8.49885 | 0.321917 | ||||||||
\(698\) | −12.5656 | + | 37.7355i | −0.475617 | + | 1.42831i | ||||
\(699\) | 11.2814 | − | 13.4586i | 0.426700 | − | 0.509052i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 34.0535i | 1.28618i | 0.765790 | + | 0.643091i | \(0.222348\pi\) | ||||
−0.765790 | + | 0.643091i | \(0.777652\pi\) | |||||||
\(702\) | −25.7403 | − | 28.9199i | −0.971507 | − | 1.09151i | ||||
\(703\) | − | 7.46593i | − | 0.281583i | ||||||
\(704\) | 6.57245 | − | 17.5749i | 0.247708 | − | 0.662378i | ||||
\(705\) | −5.45016 | + | 6.50202i | −0.205265 | + | 0.244880i | ||||
\(706\) | −13.8269 | − | 4.60425i | −0.520382 | − | 0.173283i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −0.523592 | − | 2.23328i | −0.0196778 | − | 0.0839318i | ||||
\(709\) | 9.64271 | 0.362140 | 0.181070 | − | 0.983470i | \(-0.442044\pi\) | ||||
0.181070 | + | 0.983470i | \(0.442044\pi\) | |||||||
\(710\) | 10.4252 | + | 3.47151i | 0.391250 | + | 0.130283i | ||||
\(711\) | 20.4651 | − | 3.63021i | 0.767502 | − | 0.136144i | ||||
\(712\) | 26.3836 | + | 38.0348i | 0.988769 | + | 1.42542i | ||||
\(713\) | 38.6388i | 1.44703i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 9.92437i | − | 0.371150i | ||||||
\(716\) | 33.8039 | + | 25.3205i | 1.26331 | + | 0.946272i | ||||
\(717\) | −1.98406 | − | 1.66309i | −0.0740962 | − | 0.0621093i | ||||
\(718\) | 11.9919 | − | 36.0125i | 0.447534 | − | 1.34398i | ||||
\(719\) | −8.09170 | −0.301769 | −0.150885 | − | 0.988551i | \(-0.548212\pi\) | ||||
−0.150885 | + | 0.988551i | \(0.548212\pi\) | |||||||
\(720\) | −4.28356 | − | 8.63321i | −0.159639 | − | 0.321741i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 14.1885 | − | 42.6090i | 0.528040 | − | 1.58574i | ||||
\(723\) | −13.7170 | − | 11.4979i | −0.510139 | − | 0.427612i | ||||
\(724\) | 19.8611 | + | 14.8768i | 0.738131 | + | 0.552891i | ||||
\(725\) | − | 18.4274i | − | 0.684376i | ||||||
\(726\) | −11.4707 | + | 7.06017i | −0.425719 | + | 0.262028i | ||||
\(727\) | − | 36.9501i | − | 1.37040i | −0.728353 | − | 0.685202i | \(-0.759714\pi\) | ||
0.728353 | − | 0.685202i | \(-0.240286\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −13.5719 | − | 23.3410i | −0.502664 | − | 0.864482i | ||||
\(730\) | −1.52398 | − | 0.507473i | −0.0564049 | − | 0.0187824i | ||||
\(731\) | 9.41605 | 0.348265 | ||||||||
\(732\) | −0.757605 | − | 3.23142i | −0.0280019 | − | 0.119437i | ||||
\(733\) | 37.9552 | 1.40191 | 0.700954 | − | 0.713207i | \(-0.252758\pi\) | ||||
0.700954 | + | 0.713207i | \(0.252758\pi\) | |||||||
\(734\) | −17.9153 | − | 5.96566i | −0.661266 | − | 0.220197i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 44.5867 | + | 1.62466i | 1.64349 | + | 0.0598857i | ||||
\(737\) | 19.7635i | 0.727996i | ||||||||
\(738\) | −4.42169 | + | 30.0942i | −0.162765 | + | 1.10778i | ||||
\(739\) | 22.1318i | 0.814131i | 0.913399 | + | 0.407065i | \(0.133448\pi\) | ||||
−0.913399 | + | 0.407065i | \(0.866552\pi\) | |||||||
\(740\) | 1.00914 | − | 1.34724i | 0.0370966 | − | 0.0495254i | ||||
\(741\) | 41.7636 | − | 49.8238i | 1.53422 | − | 1.83032i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 21.7884 | 0.799340 | 0.399670 | − | 0.916659i | \(-0.369125\pi\) | ||||
0.399670 | + | 0.916659i | \(0.369125\pi\) | |||||||
\(744\) | −2.18465 | + | 23.9004i | −0.0800932 | + | 0.876230i | ||||
\(745\) | 12.9314 | 0.473769 | ||||||||
\(746\) | 10.1897 | − | 30.6004i | 0.373072 | − | 1.12036i | ||||
\(747\) | −2.71540 | − | 15.3079i | −0.0993512 | − | 0.560087i | ||||
\(748\) | 3.33371 | − | 4.45064i | 0.121893 | − | 0.162731i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 9.64649 | + | 15.6728i | 0.352240 | + | 0.572289i | ||||
\(751\) | − | 5.12830i | − | 0.187134i | −0.995613 | − | 0.0935671i | \(-0.970173\pi\) | ||
0.995613 | − | 0.0935671i | \(-0.0298270\pi\) | |||||||
\(752\) | −6.85971 | − | 23.4120i | −0.250148 | − | 0.853749i | ||||
\(753\) | −35.7808 | − | 29.9923i | −1.30392 | − | 1.09298i | ||||
\(754\) | −29.9123 | − | 9.96058i | −1.08934 | − | 0.362743i | ||||
\(755\) | 13.9618 | 0.508122 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −30.4486 | −1.10667 | −0.553337 | − | 0.832958i | \(-0.686646\pi\) | ||||
−0.553337 | + | 0.832958i | \(0.686646\pi\) | |||||||
\(758\) | 2.65836 | + | 0.885213i | 0.0965559 | + | 0.0321524i | ||||
\(759\) | 24.5554 | + | 20.5829i | 0.891303 | + | 0.747113i | ||||
\(760\) | 13.2974 | − | 9.22400i | 0.482347 | − | 0.334590i | ||||
\(761\) | − | 42.7498i | − | 1.54968i | −0.632159 | − | 0.774839i | \(-0.717831\pi\) | ||
0.632159 | − | 0.774839i | \(-0.282169\pi\) | |||||||
\(762\) | 5.34377 | + | 8.68209i | 0.193584 | + | 0.314519i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −9.76434 | − | 7.31389i | −0.353261 | − | 0.264607i | ||||
\(765\) | −0.498850 | − | 2.81224i | −0.0180360 | − | 0.101677i | ||||
\(766\) | 12.8772 | − | 38.6712i | 0.465273 | − | 1.39725i | ||||
\(767\) | 3.48871 | 0.125970 | ||||||||
\(768\) | 27.4876 | + | 3.52589i | 0.991873 | + | 0.127230i | ||||
\(769\) | −7.77655 | −0.280430 | −0.140215 | − | 0.990121i | \(-0.544779\pi\) | ||||
−0.140215 | + | 0.990121i | \(0.544779\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.10619 | + | 3.70567i | −0.111867 | + | 0.133456i | ||||
\(772\) | −1.03249 | − | 0.773376i | −0.0371600 | − | 0.0278344i | ||||
\(773\) | − | 1.20376i | − | 0.0432963i | −0.999766 | − | 0.0216482i | \(-0.993109\pi\) | ||
0.999766 | − | 0.0216482i | \(-0.00689136\pi\) | |||||||
\(774\) | −4.89888 | + | 33.3420i | −0.176086 | + | 1.19845i | ||||
\(775\) | − | 21.3350i | − | 0.766376i | ||||||
\(776\) | 10.1752 | − | 7.05825i | 0.365269 | − | 0.253376i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.62954 | − | 0.875618i | −0.0942737 | − | 0.0313924i | ||||
\(779\) | −51.0771 | −1.83003 | ||||||||
\(780\) | 14.2708 | − | 3.34578i | 0.510976 | − | 0.119798i | ||||
\(781\) | −22.6907 | −0.811936 | ||||||||
\(782\) | 12.5451 | + | 4.17743i | 0.448612 | + | 0.149384i | ||||
\(783\) | −19.0579 | − | 10.9640i | −0.681072 | − | 0.391820i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 3.15000i | 0.112428i | ||||||||
\(786\) | 21.8864 | − | 13.4709i | 0.780661 | − | 0.480492i | ||||
\(787\) | 22.5045i | 0.802199i | 0.916035 | + | 0.401099i | \(0.131372\pi\) | ||||
−0.916035 | + | 0.401099i | \(0.868628\pi\) | |||||||
\(788\) | −17.8787 | + | 23.8687i | −0.636901 | + | 0.850288i | ||||
\(789\) | −20.3229 | − | 17.0352i | −0.723514 | − | 0.606468i | ||||
\(790\) | −2.48610 | + | 7.46593i | −0.0884514 | + | 0.265626i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 14.0252 | + | 14.1201i | 0.498362 | + | 0.501736i | ||||
\(793\) | 5.04795 | 0.179258 | ||||||||
\(794\) | −2.03880 | + | 6.12267i | −0.0723544 | + | 0.217285i | ||||
\(795\) | −9.29611 | − | 7.79224i | −0.329699 | − | 0.276362i | ||||
\(796\) | 22.4207 | − | 29.9325i | 0.794681 | − | 1.06093i | ||||
\(797\) | − | 18.3911i | − | 0.651447i | −0.945465 | − | 0.325724i | \(-0.894392\pi\) | ||
0.945465 | − | 0.325724i | \(-0.105608\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 7.23003i | − | 0.255780i | ||||||
\(800\) | −24.6192 | − | 0.897081i | −0.870421 | − | 0.0317166i | ||||
\(801\) | −48.3431 | + | 8.57535i | −1.70812 | + | 0.302995i | ||||
\(802\) | 35.9343 | + | 11.9658i | 1.26888 | + | 0.422529i | ||||
\(803\) | 3.31697 | 0.117053 | ||||||||
\(804\) | −28.4189 | + | 6.66281i | −1.00226 | + | 0.234979i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −34.6322 | − | 11.5323i | −1.21987 | − | 0.406206i | ||||
\(807\) | −34.1436 | + | 40.7331i | −1.20191 | + | 1.43387i | ||||
\(808\) | −13.5310 | − | 19.5064i | −0.476020 | − | 0.686233i | ||||
\(809\) | 13.2891i | 0.467220i | 0.972330 | + | 0.233610i | \(0.0750538\pi\) | ||||
−0.972330 | + | 0.233610i | \(0.924946\pi\) | |||||||
\(810\) | 10.2176 | − | 0.303294i | 0.359010 | − | 0.0106567i | ||||
\(811\) | − | 6.46254i | − | 0.226930i | −0.993542 | − | 0.113465i | \(-0.963805\pi\) | ||
0.993542 | − | 0.113465i | \(-0.0361950\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 21.9041 | − | 26.1315i | 0.768210 | − | 0.916472i | ||||
\(814\) | −1.09821 | + | 3.29799i | −0.0384921 | + | 0.115594i | ||||
\(815\) | 5.87011 | 0.205621 | ||||||||
\(816\) | 7.52369 | + | 3.29329i | 0.263382 | + | 0.115288i | ||||
\(817\) | −56.5894 | −1.97981 | ||||||||
\(818\) | 8.06140 | − | 24.2090i | 0.281860 | − | 0.846446i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.21694 | − | 6.90387i | −0.321869 | − | 0.241094i | ||||
\(821\) | 27.9169i | 0.974306i | 0.873317 | + | 0.487153i | \(0.161965\pi\) | ||||
−0.873317 | + | 0.487153i | \(0.838035\pi\) | |||||||
\(822\) | 17.3229 | + | 28.1447i | 0.604204 | + | 0.981658i | ||||
\(823\) | − | 44.9950i | − | 1.56843i | −0.620492 | − | 0.784213i | \(-0.713067\pi\) | ||
0.620492 | − | 0.784213i | \(-0.286933\pi\) | |||||||
\(824\) | 4.13820 | + | 5.96566i | 0.144161 | + | 0.207824i | ||||
\(825\) | −13.5586 | − | 11.3652i | −0.472051 | − | 0.395685i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 34.2989 | 1.19269 | 0.596344 | − | 0.802729i | \(-0.296619\pi\) | ||||
0.596344 | + | 0.802729i | \(0.296619\pi\) | |||||||
\(828\) | −21.3190 | + | 42.2485i | −0.740886 | + | 1.46824i | ||||
\(829\) | −23.0157 | −0.799368 | −0.399684 | − | 0.916653i | \(-0.630880\pi\) | ||||
−0.399684 | + | 0.916653i | \(0.630880\pi\) | |||||||
\(830\) | 5.58451 | + | 1.85960i | 0.193841 | + | 0.0645476i | ||||
\(831\) | 17.4061 | + | 14.5902i | 0.603811 | + | 0.506129i | ||||
\(832\) | −14.7637 | + | 39.4784i | −0.511838 | + | 1.36867i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 9.72279 | + | 15.7967i | 0.336673 | + | 0.546996i | ||||
\(835\) | − | 6.72372i | − | 0.232684i | ||||||
\(836\) | −20.0352 | + | 26.7478i | −0.692933 | + | 0.925093i | ||||
\(837\) | −22.0650 | − | 12.6940i | −0.762677 | − | 0.438768i | ||||
\(838\) | 7.83668 | − | 23.5341i | 0.270714 | − | 0.812972i | ||||
\(839\) | 46.9847 | 1.62209 | 0.811046 | − | 0.584983i | \(-0.198899\pi\) | ||||
0.811046 | + | 0.584983i | \(0.198899\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.0959 | 0.382617 | ||||||||
\(842\) | −6.88104 | + | 20.6642i | −0.237136 | + | 0.712137i | ||||
\(843\) | −3.18967 | + | 3.80526i | −0.109858 | + | 0.131060i | ||||
\(844\) | 14.0576 | − | 18.7675i | 0.483883 | − | 0.646003i | ||||
\(845\) | 11.8525i | 0.407737i | ||||||||
\(846\) | 25.6013 | + | 3.76156i | 0.880191 | + | 0.129325i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 33.4728 | − | 9.80751i | 1.14946 | − | 0.336791i | ||||
\(849\) | 2.21464 | − | 2.64205i | 0.0760062 | − | 0.0906751i | ||||
\(850\) | −6.92698 | − | 2.30663i | −0.237593 | − | 0.0791168i | ||||
\(851\) | −8.26532 | −0.283332 | ||||||||
\(852\) | −7.64965 | − | 32.6281i | −0.262073 | − | 1.11782i | ||||
\(853\) | −12.7498 | −0.436545 | −0.218272 | − | 0.975888i | \(-0.570042\pi\) | ||||
−0.218272 | + | 0.975888i | \(0.570042\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.99803 | + | 16.9012i | 0.102531 | + | 0.578010i | ||||
\(856\) | 14.1763 | − | 9.83371i | 0.484538 | − | 0.336109i | ||||
\(857\) | − | 30.2271i | − | 1.03254i | −0.856426 | − | 0.516269i | \(-0.827320\pi\) | ||
0.856426 | − | 0.516269i | \(-0.172680\pi\) | |||||||
\(858\) | −25.7775 | + | 15.8659i | −0.880028 | + | 0.541652i | ||||
\(859\) | − | 18.3576i | − | 0.626353i | −0.949695 | − | 0.313177i | \(-0.898607\pi\) | ||
0.949695 | − | 0.313177i | \(-0.101393\pi\) | |||||||
\(860\) | −10.2116 | − | 7.64893i | −0.348214 | − | 0.260826i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.02283 | + | 12.0808i | −0.137018 | + | 0.411475i | ||||
\(863\) | 26.3936 | 0.898450 | 0.449225 | − | 0.893419i | \(-0.351700\pi\) | ||||
0.449225 | + | 0.893419i | \(0.351700\pi\) | |||||||
\(864\) | −15.5758 | + | 24.9278i | −0.529899 | + | 0.848061i | ||||
\(865\) | −10.2568 | −0.348741 | ||||||||
\(866\) | −2.75180 | + | 8.26386i | −0.0935101 | + | 0.280817i | ||||
\(867\) | −20.7005 | − | 17.3517i | −0.703025 | − | 0.589293i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 16.2498i | − | 0.551236i | ||||||
\(870\) | 7.08890 | − | 4.36317i | 0.240336 | − | 0.147925i | ||||
\(871\) | − | 44.3946i | − | 1.50425i | ||||||
\(872\) | 12.6680 | − | 8.78744i | 0.428994 | − | 0.297580i | ||||
\(873\) | 2.29411 | + | 12.9329i | 0.0776439 | + | 0.437713i | ||||
\(874\) | −75.3947 | − | 25.1059i | −2.55026 | − | 0.849218i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 1.11824 | + | 4.76965i | 0.0377819 | + | 0.161151i | ||||
\(877\) | −0.937324 | −0.0316512 | −0.0158256 | − | 0.999875i | \(-0.505038\pi\) | ||||
−0.0158256 | + | 0.999875i | \(0.505038\pi\) | |||||||
\(878\) | −39.2460 | − | 13.0686i | −1.32449 | − | 0.441045i | ||||
\(879\) | −18.6351 | + | 22.2316i | −0.628545 | + | 0.749852i | ||||
\(880\) | −7.23077 | + | 2.11861i | −0.243749 | + | 0.0714183i | ||||
\(881\) | 37.1298i | 1.25093i | 0.780251 | + | 0.625467i | \(0.215091\pi\) | ||||
−0.780251 | + | 0.625467i | \(0.784909\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.76235i | 0.193918i | 0.995288 | + | 0.0969592i | \(0.0309116\pi\) | ||||
−0.995288 | + | 0.0969592i | \(0.969088\pi\) | |||||||
\(884\) | −7.48850 | + | 9.99745i | −0.251866 | + | 0.336251i | ||||
\(885\) | −0.591721 | + | 0.705920i | −0.0198905 | + | 0.0237293i | ||||
\(886\) | 3.22430 | − | 9.68280i | 0.108322 | − | 0.325300i | ||||
\(887\) | 26.1343 | 0.877504 | 0.438752 | − | 0.898608i | \(-0.355421\pi\) | ||||
0.438752 | + | 0.898608i | \(0.355421\pi\) | |||||||
\(888\) | −5.11259 | − | 0.467324i | −0.171567 | − | 0.0156824i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 5.87270 | − | 17.6361i | 0.196853 | − | 0.591165i | ||||
\(891\) | −19.8212 | + | 7.26043i | −0.664035 | + | 0.243234i | ||||
\(892\) | 0.819241 | − | 1.09372i | 0.0274302 | − | 0.0366204i | ||||
\(893\) | 43.4516i | 1.45405i | ||||||||
\(894\) | −20.6731 | − | 33.5878i | −0.691412 | − | 1.12334i | ||||
\(895\) | − | 16.9601i | − | 0.566915i | ||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −55.1586 | − | 46.2353i | −1.84169 | − | 1.54375i | ||||
\(898\) | 5.94975 | + | 1.98122i | 0.198546 | + | 0.0661142i | ||||
\(899\) | −20.7292 | −0.691356 | ||||||||
\(900\) | 11.7716 | − | 23.3282i | 0.392387 | − | 0.777606i | ||||
\(901\) | 10.3370 | 0.344374 | ||||||||
\(902\) | 22.5627 | + | 7.51322i | 0.751257 | + | 0.250163i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −11.4428 | − | 16.4960i | −0.380582 | − | 0.548649i | ||||
\(905\) | − | 9.96473i | − | 0.331239i | ||||||
\(906\) | −22.3204 | − | 36.2643i | −0.741547 | − | 1.20480i | ||||
\(907\) | − | 40.8329i | − | 1.35584i | −0.735138 | − | 0.677918i | \(-0.762883\pi\) | ||
0.735138 | − | 0.677918i | \(-0.237117\pi\) | |||||||
\(908\) | −14.0126 | − | 10.4960i | −0.465026 | − | 0.348324i | ||||
\(909\) | 24.7931 | − | 4.39793i | 0.822334 | − | 0.145870i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 4.31270 | 0.142886 | 0.0714430 | − | 0.997445i | \(-0.477240\pi\) | ||||
0.0714430 | + | 0.997445i | \(0.477240\pi\) | |||||||
\(912\) | −45.2165 | − | 19.7923i | −1.49727 | − | 0.655388i | ||||
\(913\) | −12.1548 | −0.402266 | ||||||||
\(914\) | −6.10422 | + | 18.3314i | −0.201910 | + | 0.606349i | ||||
\(915\) | −0.856183 | + | 1.02142i | −0.0283045 | + | 0.0337672i | ||||
\(916\) | −29.6113 | − | 22.1801i | −0.978384 | − | 0.732850i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −6.50699 | + | 5.79157i | −0.214763 | + | 0.191150i | ||||
\(919\) | 17.2821i | 0.570085i | 0.958515 | + | 0.285043i | \(0.0920077\pi\) | ||||
−0.958515 | + | 0.285043i | \(0.907992\pi\) | |||||||
\(920\) | −10.2116 | − | 14.7212i | −0.336667 | − | 0.485342i | ||||
\(921\) | −17.2317 | + | 20.5573i | −0.567803 | + | 0.677386i | ||||
\(922\) | −7.05493 | − | 2.34924i | −0.232342 | − | 0.0773680i | ||||
\(923\) | 50.9699 | 1.67770 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.56383 | 0.150058 | ||||||||
\(926\) | −21.3159 | − | 7.09803i | −0.700483 | − | 0.233256i | ||||
\(927\) | −7.58248 | + | 1.34502i | −0.249041 | + | 0.0441763i | ||||
\(928\) | −0.871607 | + | 23.9201i | −0.0286119 | + | 0.785216i | ||||
\(929\) | − | 23.1549i | − | 0.759687i | −0.925051 | − | 0.379843i | \(-0.875978\pi\) | ||
0.925051 | − | 0.379843i | \(-0.124022\pi\) | |||||||
\(930\) | 8.20745 | − | 5.05163i | 0.269133 | − | 0.165650i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 12.1570 | − | 16.2300i | 0.398214 | − | 0.531632i | ||||
\(933\) | −14.4679 | − | 12.1274i | −0.473658 | − | 0.397033i | ||||
\(934\) | 12.0979 | − | 36.3310i | 0.395857 | − | 1.18879i | ||||
\(935\) | −2.23298 | −0.0730263 | ||||||||
\(936\) | −31.5047 | − | 31.7179i | −1.02976 | − | 1.03673i | ||||
\(937\) | 3.10294 | 0.101369 | 0.0506843 | − | 0.998715i | \(-0.483860\pi\) | ||||
0.0506843 | + | 0.998715i | \(0.483860\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 44.8691 | + | 37.6104i | 1.46425 | + | 1.22737i | ||||
\(940\) | −5.87316 | + | 7.84091i | −0.191562 | + | 0.255742i | ||||
\(941\) | 23.6509i | 0.770996i | 0.922709 | + | 0.385498i | \(0.125970\pi\) | ||||
−0.922709 | + | 0.385498i | \(0.874030\pi\) | |||||||
\(942\) | 8.18178 | − | 5.03583i | 0.266577 | − | 0.164076i | ||||
\(943\) | 56.5461i | 1.84139i | ||||||||
\(944\) | −0.744755 | − | 2.54183i | −0.0242397 | − | 0.0827296i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 24.9977 | + | 8.32404i | 0.812745 | + | 0.270638i | ||||
\(947\) | 57.5371 | 1.86970 | 0.934852 | − | 0.355037i | \(-0.115532\pi\) | ||||
0.934852 | + | 0.355037i | \(0.115532\pi\) | |||||||
\(948\) | 23.3664 | − | 5.47825i | 0.758906 | − | 0.177925i | ||||
\(949\) | −7.45090 | −0.241866 | ||||||||
\(950\) | 41.6304 | + | 13.8626i | 1.35067 | + | 0.449762i | ||||
\(951\) | 10.3328 | − | 12.3270i | 0.335065 | − | 0.399731i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 14.1961i | 0.459855i | 0.973208 | + | 0.229928i | \(0.0738490\pi\) | ||||
−0.973208 | + | 0.229928i | \(0.926151\pi\) | |||||||
\(954\) | −5.37800 | + | 36.6029i | −0.174119 | + | 1.18506i | ||||
\(955\) | 4.89898i | 0.158527i | ||||||||
\(956\) | −2.39262 | − | 1.79217i | −0.0773829 | − | 0.0579630i | ||||
\(957\) | −11.0424 | + | 13.1736i | −0.356952 | + | 0.425842i | ||||
\(958\) | 6.81842 | − | 20.4762i | 0.220293 | − | 0.661557i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −5.48415 | − | 9.68327i | −0.177000 | − | 0.312526i | ||||
\(961\) | 7.00000 | 0.225806 | ||||||||
\(962\) | 2.46689 | − | 7.40826i | 0.0795358 | − | 0.238852i | ||||
\(963\) | 3.19621 | + | 18.0184i | 0.102996 | + | 0.580636i | ||||
\(964\) | −16.5415 | − | 12.3903i | −0.532767 | − | 0.399065i | ||||
\(965\) | 0.518021i | 0.0166757i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 31.5730i | − | 1.01532i | −0.861558 | − | 0.507660i | \(-0.830511\pi\) | ||
0.861558 | − | 0.507660i | \(-0.169489\pi\) | |||||||
\(968\) | −12.7795 | + | 8.86475i | −0.410748 | + | 0.284924i | ||||
\(969\) | −11.2104 | − | 9.39681i | −0.360129 | − | 0.301869i | ||||
\(970\) | −4.71809 | − | 1.57109i | −0.151489 | − | 0.0504446i | ||||
\(971\) | 29.3240 | 0.941051 | 0.470526 | − | 0.882386i | \(-0.344064\pi\) | ||||
0.470526 | + | 0.882386i | \(0.344064\pi\) | |||||||
\(972\) | −17.1224 | − | 26.0542i | −0.549202 | − | 0.835690i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −8.13677 | − | 2.70948i | −0.260719 | − | 0.0868174i | ||||
\(975\) | 30.4567 | + | 25.5296i | 0.975394 | + | 0.817600i | ||||
\(976\) | −1.07761 | − | 3.67788i | −0.0344936 | − | 0.117726i | ||||
\(977\) | − | 11.8959i | − | 0.380585i | −0.981727 | − | 0.190292i | \(-0.939056\pi\) | ||
0.981727 | − | 0.190292i | \(-0.0609436\pi\) | |||||||
\(978\) | −9.38442 | − | 15.2470i | −0.300081 | − | 0.487545i | ||||
\(979\) | 38.3855i | 1.22681i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.85614 | + | 16.1013i | 0.0911896 | + | 0.514076i | ||||
\(982\) | 1.80433 | − | 5.41854i | 0.0575785 | − | 0.172912i | ||||
\(983\) | 14.9803 | 0.477796 | 0.238898 | − | 0.971045i | \(-0.423214\pi\) | ||||
0.238898 | + | 0.971045i | \(0.423214\pi\) | |||||||
\(984\) | −3.19713 | + | 34.9770i | −0.101921 | + | 1.11503i | ||||
\(985\) | 11.9754 | 0.381569 | ||||||||
\(986\) | −2.24113 | + | 6.73027i | −0.0713721 | + | 0.214336i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 45.0051 | − | 60.0835i | 1.43180 | − | 1.91151i | ||||
\(989\) | 62.6485i | 1.99211i | ||||||||
\(990\) | 1.16175 | − | 7.90693i | 0.0369229 | − | 0.251299i | ||||
\(991\) | − | 20.7846i | − | 0.660245i | −0.943938 | − | 0.330122i | \(-0.892910\pi\) | ||
0.943938 | − | 0.330122i | \(-0.107090\pi\) | |||||||
\(992\) | −1.00914 | + | 27.6944i | −0.0320401 | + | 0.879299i | ||||
\(993\) | 1.12929 | − | 1.34724i | 0.0358369 | − | 0.0427533i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −15.0178 | −0.476096 | ||||||||
\(996\) | −4.09772 | − | 17.4781i | −0.129841 | − | 0.553813i | ||||
\(997\) | 19.6382 | 0.621949 | 0.310975 | − | 0.950418i | \(-0.399345\pi\) | ||||
0.310975 | + | 0.950418i | \(0.399345\pi\) | |||||||
\(998\) | 51.6601 | + | 17.2024i | 1.63527 | + | 0.544533i | ||||
\(999\) | 2.71540 | − | 4.71997i | 0.0859114 | − | 0.149333i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 588.2.e.f.491.11 | yes | 24 | |
3.2 | odd | 2 | inner | 588.2.e.f.491.14 | yes | 24 | |
4.3 | odd | 2 | inner | 588.2.e.f.491.16 | yes | 24 | |
7.2 | even | 3 | 588.2.n.h.263.12 | 24 | |||
7.3 | odd | 6 | 588.2.n.d.275.4 | 24 | |||
7.4 | even | 3 | 588.2.n.d.275.3 | 24 | |||
7.5 | odd | 6 | 588.2.n.h.263.11 | 24 | |||
7.6 | odd | 2 | inner | 588.2.e.f.491.12 | yes | 24 | |
12.11 | even | 2 | inner | 588.2.e.f.491.9 | ✓ | 24 | |
21.2 | odd | 6 | 588.2.n.h.263.2 | 24 | |||
21.5 | even | 6 | 588.2.n.h.263.1 | 24 | |||
21.11 | odd | 6 | 588.2.n.d.275.9 | 24 | |||
21.17 | even | 6 | 588.2.n.d.275.10 | 24 | |||
21.20 | even | 2 | inner | 588.2.e.f.491.13 | yes | 24 | |
28.3 | even | 6 | 588.2.n.h.275.1 | 24 | |||
28.11 | odd | 6 | 588.2.n.h.275.2 | 24 | |||
28.19 | even | 6 | 588.2.n.d.263.10 | 24 | |||
28.23 | odd | 6 | 588.2.n.d.263.9 | 24 | |||
28.27 | even | 2 | inner | 588.2.e.f.491.15 | yes | 24 | |
84.11 | even | 6 | 588.2.n.h.275.12 | 24 | |||
84.23 | even | 6 | 588.2.n.d.263.3 | 24 | |||
84.47 | odd | 6 | 588.2.n.d.263.4 | 24 | |||
84.59 | odd | 6 | 588.2.n.h.275.11 | 24 | |||
84.83 | odd | 2 | inner | 588.2.e.f.491.10 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.e.f.491.9 | ✓ | 24 | 12.11 | even | 2 | inner | |
588.2.e.f.491.10 | yes | 24 | 84.83 | odd | 2 | inner | |
588.2.e.f.491.11 | yes | 24 | 1.1 | even | 1 | trivial | |
588.2.e.f.491.12 | yes | 24 | 7.6 | odd | 2 | inner | |
588.2.e.f.491.13 | yes | 24 | 21.20 | even | 2 | inner | |
588.2.e.f.491.14 | yes | 24 | 3.2 | odd | 2 | inner | |
588.2.e.f.491.15 | yes | 24 | 28.27 | even | 2 | inner | |
588.2.e.f.491.16 | yes | 24 | 4.3 | odd | 2 | inner | |
588.2.n.d.263.3 | 24 | 84.23 | even | 6 | |||
588.2.n.d.263.4 | 24 | 84.47 | odd | 6 | |||
588.2.n.d.263.9 | 24 | 28.23 | odd | 6 | |||
588.2.n.d.263.10 | 24 | 28.19 | even | 6 | |||
588.2.n.d.275.3 | 24 | 7.4 | even | 3 | |||
588.2.n.d.275.4 | 24 | 7.3 | odd | 6 | |||
588.2.n.d.275.9 | 24 | 21.11 | odd | 6 | |||
588.2.n.d.275.10 | 24 | 21.17 | even | 6 | |||
588.2.n.h.263.1 | 24 | 21.5 | even | 6 | |||
588.2.n.h.263.2 | 24 | 21.2 | odd | 6 | |||
588.2.n.h.263.11 | 24 | 7.5 | odd | 6 | |||
588.2.n.h.263.12 | 24 | 7.2 | even | 3 | |||
588.2.n.h.275.1 | 24 | 28.3 | even | 6 | |||
588.2.n.h.275.2 | 24 | 28.11 | odd | 6 | |||
588.2.n.h.275.11 | 24 | 84.59 | odd | 6 | |||
588.2.n.h.275.12 | 24 | 84.11 | even | 6 |