Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(16,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.p (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 594.10 | ||
Character | \(\chi\) | \(=\) | 731.594 |
Dual form | 731.2.p.a.16.10 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.501288 | + | 2.19629i | −0.354464 | + | 1.55301i | 0.412280 | + | 0.911057i | \(0.364732\pi\) |
−0.766745 | + | 0.641952i | \(0.778125\pi\) | |||||||
\(3\) | 1.02764 | − | 0.234553i | 0.593310 | − | 0.135419i | 0.0846858 | − | 0.996408i | \(-0.473011\pi\) |
0.508624 | + | 0.860989i | \(0.330154\pi\) | |||||||
\(4\) | −2.77045 | − | 1.33418i | −1.38522 | − | 0.667089i | ||||
\(5\) | −1.62476 | − | 1.29571i | −0.726617 | − | 0.579457i | 0.188776 | − | 0.982020i | \(-0.439548\pi\) |
−0.915392 | + | 0.402563i | \(0.868119\pi\) | |||||||
\(6\) | 2.37458i | 0.969418i | ||||||||
\(7\) | 4.11644i | 1.55587i | 0.628345 | + | 0.777934i | \(0.283732\pi\) | ||||
−0.628345 | + | 0.777934i | \(0.716268\pi\) | |||||||
\(8\) | 1.50987 | − | 1.89332i | 0.533821 | − | 0.669391i | ||||
\(9\) | −1.70187 | + | 0.819578i | −0.567290 | + | 0.273193i | ||||
\(10\) | 3.66022 | − | 2.91893i | 1.15746 | − | 0.923045i | ||||
\(11\) | 0.236630 | + | 0.491367i | 0.0713466 | + | 0.148153i | 0.933592 | − | 0.358338i | \(-0.116657\pi\) |
−0.862245 | + | 0.506491i | \(0.830942\pi\) | |||||||
\(12\) | −3.15997 | − | 0.721242i | −0.912204 | − | 0.208205i | ||||
\(13\) | 2.43613 | − | 3.05481i | 0.675662 | − | 0.847253i | −0.319285 | − | 0.947659i | \(-0.603443\pi\) |
0.994947 | + | 0.100406i | \(0.0320141\pi\) | |||||||
\(14\) | −9.04089 | − | 2.06352i | −2.41628 | − | 0.551500i | ||||
\(15\) | −1.97359 | − | 0.950431i | −0.509579 | − | 0.245400i | ||||
\(16\) | −0.433022 | − | 0.542993i | −0.108256 | − | 0.135748i | ||||
\(17\) | −2.62490 | + | 3.17961i | −0.636631 | + | 0.771169i | ||||
\(18\) | −0.946900 | − | 4.14864i | −0.223187 | − | 0.977844i | ||||
\(19\) | −1.60375 | − | 0.772326i | −0.367926 | − | 0.177184i | 0.240780 | − | 0.970580i | \(-0.422597\pi\) |
−0.608706 | + | 0.793396i | \(0.708311\pi\) | |||||||
\(20\) | 2.77262 | + | 5.75741i | 0.619977 | + | 1.28740i | ||||
\(21\) | 0.965523 | + | 4.23023i | 0.210694 | + | 0.923113i | ||||
\(22\) | −1.19780 | + | 0.273391i | −0.255372 | + | 0.0582871i | ||||
\(23\) | 0.956800 | + | 1.98682i | 0.199507 | + | 0.414280i | 0.976587 | − | 0.215121i | \(-0.0690147\pi\) |
−0.777081 | + | 0.629401i | \(0.783300\pi\) | |||||||
\(24\) | 1.10753 | − | 2.29981i | 0.226073 | − | 0.469446i | ||||
\(25\) | −0.151601 | − | 0.664206i | −0.0303201 | − | 0.132841i | ||||
\(26\) | 5.48804 | + | 6.88179i | 1.07629 | + | 1.34963i | ||||
\(27\) | −4.02900 | + | 3.21302i | −0.775381 | + | 0.618346i | ||||
\(28\) | 5.49207 | − | 11.4044i | 1.03790 | − | 2.15523i | ||||
\(29\) | −3.76745 | − | 0.859896i | −0.699598 | − | 0.159679i | −0.142094 | − | 0.989853i | \(-0.545384\pi\) |
−0.557504 | + | 0.830174i | \(0.688241\pi\) | |||||||
\(30\) | 3.07676 | − | 3.85813i | 0.561736 | − | 0.704395i | ||||
\(31\) | −6.82752 | − | 1.55834i | −1.22626 | − | 0.279886i | −0.440122 | − | 0.897938i | \(-0.645065\pi\) |
−0.786137 | + | 0.618052i | \(0.787922\pi\) | |||||||
\(32\) | 5.77330 | − | 2.78028i | 1.02059 | − | 0.491488i | ||||
\(33\) | 0.358423 | + | 0.449448i | 0.0623934 | + | 0.0782388i | ||||
\(34\) | −5.66751 | − | 7.35893i | −0.971970 | − | 1.26205i | ||||
\(35\) | 5.33370 | − | 6.68825i | 0.901560 | − | 1.13052i | ||||
\(36\) | 5.80841 | 0.968068 | ||||||||
\(37\) | − | 0.516885i | − | 0.0849754i | −0.999097 | − | 0.0424877i | \(-0.986472\pi\) | ||
0.999097 | − | 0.0424877i | \(-0.0135283\pi\) | |||||||
\(38\) | 2.50019 | − | 3.13514i | 0.405585 | − | 0.508587i | ||||
\(39\) | 1.78696 | − | 3.71066i | 0.286143 | − | 0.594181i | ||||
\(40\) | −4.90638 | + | 1.11985i | −0.775767 | + | 0.177064i | ||||
\(41\) | −4.31959 | − | 0.985917i | −0.674606 | − | 0.153974i | −0.128524 | − | 0.991706i | \(-0.541024\pi\) |
−0.546082 | + | 0.837732i | \(0.683881\pi\) | |||||||
\(42\) | −9.77481 | −1.50829 | ||||||||
\(43\) | −5.74959 | − | 3.15313i | −0.876804 | − | 0.480848i | ||||
\(44\) | − | 1.67701i | − | 0.252819i | ||||||
\(45\) | 3.82707 | + | 0.873504i | 0.570506 | + | 0.130214i | ||||
\(46\) | −4.84325 | + | 1.10544i | −0.714098 | + | 0.162988i | ||||
\(47\) | −7.94766 | − | 3.82739i | −1.15929 | − | 0.558283i | −0.247476 | − | 0.968894i | \(-0.579601\pi\) |
−0.911810 | + | 0.410611i | \(0.865315\pi\) | |||||||
\(48\) | −0.572353 | − | 0.456437i | −0.0826121 | − | 0.0658809i | ||||
\(49\) | −9.94510 | −1.42073 | ||||||||
\(50\) | 1.53478 | 0.217051 | ||||||||
\(51\) | −1.95167 | + | 3.88318i | −0.273288 | + | 0.543754i | ||||
\(52\) | −10.8248 | + | 5.21297i | −1.50114 | + | 0.722909i | ||||
\(53\) | 8.64292 | + | 10.8379i | 1.18720 | + | 1.48870i | 0.832774 | + | 0.553613i | \(0.186751\pi\) |
0.354423 | + | 0.935085i | \(0.384677\pi\) | |||||||
\(54\) | −5.03702 | − | 10.4595i | −0.685452 | − | 1.42336i | ||||
\(55\) | 0.252200 | − | 1.10496i | 0.0340066 | − | 0.148993i | ||||
\(56\) | 7.79375 | + | 6.21531i | 1.04148 | + | 0.830556i | ||||
\(57\) | −1.82924 | − | 0.417511i | −0.242288 | − | 0.0553007i | ||||
\(58\) | 3.77716 | − | 7.84335i | 0.495965 | − | 1.02988i | ||||
\(59\) | −8.03772 | − | 10.0790i | −1.04642 | − | 1.31217i | −0.948431 | − | 0.316985i | \(-0.897330\pi\) |
−0.0979914 | − | 0.995187i | \(-0.531242\pi\) | |||||||
\(60\) | 4.19969 | + | 5.26624i | 0.542177 | + | 0.679869i | ||||
\(61\) | 7.03615 | − | 1.60595i | 0.900886 | − | 0.205621i | 0.253097 | − | 0.967441i | \(-0.418551\pi\) |
0.647789 | + | 0.761820i | \(0.275694\pi\) | |||||||
\(62\) | 6.84511 | − | 14.2140i | 0.869330 | − | 1.80518i | ||||
\(63\) | −3.37374 | − | 7.00565i | −0.425052 | − | 0.882629i | ||||
\(64\) | 2.90311 | + | 12.7193i | 0.362888 | + | 1.58992i | ||||
\(65\) | −7.91628 | + | 1.80684i | −0.981894 | + | 0.224111i | ||||
\(66\) | −1.16679 | + | 0.561896i | −0.143622 | + | 0.0691647i | ||||
\(67\) | 8.76630 | + | 4.22163i | 1.07097 | + | 0.515754i | 0.884421 | − | 0.466691i | \(-0.154554\pi\) |
0.186554 | + | 0.982445i | \(0.440268\pi\) | |||||||
\(68\) | 11.5143 | − | 5.30687i | 1.39631 | − | 0.643553i | ||||
\(69\) | 1.44926 | + | 1.81732i | 0.174471 | + | 0.218779i | ||||
\(70\) | 12.0156 | + | 15.0671i | 1.43614 | + | 1.80086i | ||||
\(71\) | −5.92460 | + | 12.3026i | −0.703121 | + | 1.46005i | 0.176465 | + | 0.984307i | \(0.443534\pi\) |
−0.879586 | + | 0.475739i | \(0.842181\pi\) | |||||||
\(72\) | −1.01789 | + | 4.45965i | −0.119959 | + | 0.525575i | ||||
\(73\) | 6.97252 | + | 5.56040i | 0.816072 | + | 0.650796i | 0.939878 | − | 0.341511i | \(-0.110939\pi\) |
−0.123806 | + | 0.992306i | \(0.539510\pi\) | |||||||
\(74\) | 1.13523 | + | 0.259109i | 0.131968 | + | 0.0301208i | ||||
\(75\) | −0.311583 | − | 0.647009i | −0.0359785 | − | 0.0747101i | ||||
\(76\) | 3.41269 | + | 4.27938i | 0.391463 | + | 0.490879i | ||||
\(77\) | −2.02268 | + | 0.974074i | −0.230506 | + | 0.111006i | ||||
\(78\) | 7.25390 | + | 5.78479i | 0.821342 | + | 0.654998i | ||||
\(79\) | − | 2.79127i | − | 0.314043i | −0.987595 | − | 0.157021i | \(-0.949811\pi\) | ||
0.987595 | − | 0.157021i | \(-0.0501891\pi\) | |||||||
\(80\) | 1.44331i | 0.161366i | ||||||||
\(81\) | 0.146442 | − | 0.183632i | 0.0162713 | − | 0.0204036i | ||||
\(82\) | 4.33071 | − | 8.99282i | 0.478247 | − | 0.993091i | ||||
\(83\) | 2.21097 | + | 9.68690i | 0.242686 | + | 1.06328i | 0.938561 | + | 0.345113i | \(0.112159\pi\) |
−0.695876 | + | 0.718162i | \(0.744984\pi\) | |||||||
\(84\) | 2.96895 | − | 13.0078i | 0.323939 | − | 1.41927i | ||||
\(85\) | 8.38468 | − | 1.76502i | 0.909446 | − | 0.191444i | ||||
\(86\) | 9.80738 | − | 11.0471i | 1.05756 | − | 1.19124i | ||||
\(87\) | −4.07329 | −0.436702 | ||||||||
\(88\) | 1.28760 | + | 0.293886i | 0.137258 | + | 0.0313283i | ||||
\(89\) | 3.87210 | + | 16.9648i | 0.410442 | + | 1.79826i | 0.582111 | + | 0.813109i | \(0.302227\pi\) |
−0.171669 | + | 0.985155i | \(0.554916\pi\) | |||||||
\(90\) | −3.83693 | + | 7.96747i | −0.404448 | + | 0.839845i | ||||
\(91\) | 12.5750 | + | 10.0282i | 1.31821 | + | 1.05124i | ||||
\(92\) | − | 6.78091i | − | 0.706959i | ||||||
\(93\) | −7.38177 | −0.765454 | ||||||||
\(94\) | 12.3901 | − | 15.5367i | 1.27794 | − | 1.60249i | ||||
\(95\) | 1.60501 | + | 3.33284i | 0.164671 | + | 0.341942i | ||||
\(96\) | 5.28077 | − | 4.21128i | 0.538967 | − | 0.429812i | ||||
\(97\) | 5.07688 | + | 10.5423i | 0.515479 | + | 1.07040i | 0.982518 | + | 0.186167i | \(0.0596065\pi\) |
−0.467039 | + | 0.884237i | \(0.654679\pi\) | |||||||
\(98\) | 4.98536 | − | 21.8423i | 0.503597 | − | 2.20640i | ||||
\(99\) | −0.805427 | − | 0.642307i | −0.0809485 | − | 0.0645543i | ||||
\(100\) | −0.466167 | + | 2.04241i | −0.0466167 | + | 0.204241i | ||||
\(101\) | −1.36165 | − | 0.655738i | −0.135490 | − | 0.0652483i | 0.364911 | − | 0.931043i | \(-0.381100\pi\) |
−0.500400 | + | 0.865794i | \(0.666814\pi\) | |||||||
\(102\) | −7.55023 | − | 6.23302i | −0.747585 | − | 0.617161i | ||||
\(103\) | 1.40095 | + | 1.75673i | 0.138040 | + | 0.173096i | 0.846046 | − | 0.533110i | \(-0.178977\pi\) |
−0.708007 | + | 0.706206i | \(0.750405\pi\) | |||||||
\(104\) | −2.10549 | − | 9.22477i | −0.206461 | − | 0.904563i | ||||
\(105\) | 3.91239 | − | 8.12417i | 0.381810 | − | 0.792838i | ||||
\(106\) | −28.1357 | + | 13.5494i | −2.73278 | + | 1.31604i | ||||
\(107\) | −6.03099 | + | 1.37653i | −0.583038 | + | 0.133075i | −0.503859 | − | 0.863786i | \(-0.668087\pi\) |
−0.0791789 | + | 0.996860i | \(0.525230\pi\) | |||||||
\(108\) | 15.4489 | − | 3.52611i | 1.48657 | − | 0.339300i | ||||
\(109\) | 1.13572 | + | 2.35834i | 0.108782 | + | 0.225888i | 0.948253 | − | 0.317517i | \(-0.102849\pi\) |
−0.839471 | + | 0.543405i | \(0.817135\pi\) | |||||||
\(110\) | 2.30038 | + | 1.10781i | 0.219333 | + | 0.105625i | ||||
\(111\) | −0.121237 | − | 0.531174i | −0.0115073 | − | 0.0504168i | ||||
\(112\) | 2.23520 | − | 1.78251i | 0.211207 | − | 0.168432i | ||||
\(113\) | −8.09794 | + | 6.45789i | −0.761790 | + | 0.607507i | −0.925388 | − | 0.379020i | \(-0.876261\pi\) |
0.163599 | + | 0.986527i | \(0.447690\pi\) | |||||||
\(114\) | 1.83395 | − | 3.80823i | 0.171765 | − | 0.356674i | ||||
\(115\) | 1.01975 | − | 4.46784i | 0.0950926 | − | 0.416628i | ||||
\(116\) | 9.29028 | + | 7.40875i | 0.862581 | + | 0.687885i | ||||
\(117\) | −1.64233 | + | 7.19550i | −0.151833 | + | 0.665224i | ||||
\(118\) | 26.1656 | − | 12.6007i | 2.40873 | − | 1.15999i | ||||
\(119\) | −13.0887 | − | 10.8052i | −1.19984 | − | 0.990514i | ||||
\(120\) | −4.77934 | + | 2.30161i | −0.436292 | + | 0.210107i | ||||
\(121\) | 6.67294 | − | 8.36760i | 0.606631 | − | 0.760691i | ||||
\(122\) | 16.2584i | 1.47197i | ||||||||
\(123\) | −4.67024 | −0.421102 | ||||||||
\(124\) | 16.8362 | + | 13.4264i | 1.51194 | + | 1.20573i | ||||
\(125\) | −5.12268 | + | 10.6374i | −0.458186 | + | 0.951434i | ||||
\(126\) | 17.0776 | − | 3.89786i | 1.52140 | − | 0.347249i | ||||
\(127\) | 1.26751 | − | 5.55333i | 0.112473 | − | 0.492779i | −0.887043 | − | 0.461687i | \(-0.847244\pi\) |
0.999517 | − | 0.0310918i | \(-0.00989843\pi\) | |||||||
\(128\) | −16.5749 | −1.46502 | ||||||||
\(129\) | −6.64810 | − | 1.89171i | −0.585333 | − | 0.166556i | ||||
\(130\) | − | 18.2922i | − | 1.60433i | ||||||
\(131\) | 18.1511 | + | 4.14287i | 1.58587 | + | 0.361964i | 0.922398 | − | 0.386240i | \(-0.126226\pi\) |
0.663469 | + | 0.748204i | \(0.269083\pi\) | |||||||
\(132\) | −0.393348 | − | 1.72337i | −0.0342366 | − | 0.150000i | ||||
\(133\) | 3.17924 | − | 6.60175i | 0.275675 | − | 0.572444i | ||||
\(134\) | −13.6663 | + | 17.1371i | −1.18059 | + | 1.48042i | ||||
\(135\) | 10.7093 | 0.921710 | ||||||||
\(136\) | 2.05677 | + | 9.77059i | 0.176366 | + | 0.837821i | ||||
\(137\) | 10.1978 | − | 12.7876i | 0.871255 | − | 1.09252i | −0.123713 | − | 0.992318i | \(-0.539480\pi\) |
0.994967 | − | 0.100201i | \(-0.0319484\pi\) | |||||||
\(138\) | −4.71785 | + | 2.27200i | −0.401610 | + | 0.193405i | ||||
\(139\) | −15.0068 | + | 11.9675i | −1.27286 | + | 1.01507i | −0.274290 | + | 0.961647i | \(0.588443\pi\) |
−0.998572 | + | 0.0534264i | \(0.982986\pi\) | |||||||
\(140\) | −23.7001 | + | 11.4133i | −2.00302 | + | 0.964604i | ||||
\(141\) | −9.06509 | − | 2.06905i | −0.763418 | − | 0.174245i | ||||
\(142\) | −24.0500 | − | 19.1793i | −2.01823 | − | 1.60949i | ||||
\(143\) | 2.07750 | + | 0.474175i | 0.173729 | + | 0.0396525i | ||||
\(144\) | 1.18197 | + | 0.569208i | 0.0984978 | + | 0.0474340i | ||||
\(145\) | 5.00705 | + | 6.27864i | 0.415813 | + | 0.521413i | ||||
\(146\) | −15.7075 | + | 12.5263i | −1.29996 | + | 1.03668i | ||||
\(147\) | −10.2200 | + | 2.33265i | −0.842933 | + | 0.192394i | ||||
\(148\) | −0.689617 | + | 1.43200i | −0.0566862 | + | 0.117710i | ||||
\(149\) | −7.25417 | + | 3.49342i | −0.594284 | + | 0.286192i | −0.706750 | − | 0.707463i | \(-0.749839\pi\) |
0.112466 | + | 0.993656i | \(0.464125\pi\) | |||||||
\(150\) | 1.57721 | − | 0.359988i | 0.128779 | − | 0.0293929i | ||||
\(151\) | −2.03948 | − | 8.93556i | −0.165971 | − | 0.727166i | −0.987580 | − | 0.157115i | \(-0.949781\pi\) |
0.821609 | − | 0.570051i | \(-0.193077\pi\) | |||||||
\(152\) | −3.88373 | + | 1.87030i | −0.315012 | + | 0.151702i | ||||
\(153\) | 1.86130 | − | 7.56259i | 0.150477 | − | 0.611399i | ||||
\(154\) | −1.12540 | − | 4.93069i | −0.0906871 | − | 0.397326i | ||||
\(155\) | 9.07397 | + | 11.3784i | 0.728839 | + | 0.913935i | ||||
\(156\) | −9.90137 | + | 7.89608i | −0.792744 | + | 0.632192i | ||||
\(157\) | 11.9529 | + | 5.75620i | 0.953943 | + | 0.459395i | 0.845067 | − | 0.534661i | \(-0.179561\pi\) |
0.108876 | + | 0.994055i | \(0.465275\pi\) | |||||||
\(158\) | 6.13043 | + | 1.39923i | 0.487711 | + | 0.111317i | ||||
\(159\) | 11.4239 | + | 9.11026i | 0.905974 | + | 0.722490i | ||||
\(160\) | −12.9827 | − | 2.96321i | −1.02637 | − | 0.234262i | ||||
\(161\) | −8.17861 | + | 3.93861i | −0.644565 | + | 0.310406i | ||||
\(162\) | 0.329899 | + | 0.413681i | 0.0259193 | + | 0.0325018i | ||||
\(163\) | −8.64924 | − | 17.9603i | −0.677461 | − | 1.40676i | −0.901758 | − | 0.432241i | \(-0.857723\pi\) |
0.224297 | − | 0.974521i | \(-0.427991\pi\) | |||||||
\(164\) | 10.6518 | + | 8.49453i | 0.831766 | + | 0.663311i | ||||
\(165\) | − | 1.19466i | − | 0.0930040i | ||||||
\(166\) | −22.3835 | −1.73730 | ||||||||
\(167\) | −0.365620 | − | 0.291572i | −0.0282925 | − | 0.0225625i | 0.609241 | − | 0.792985i | \(-0.291474\pi\) |
−0.637534 | + | 0.770422i | \(0.720045\pi\) | |||||||
\(168\) | 9.46702 | + | 4.55908i | 0.730396 | + | 0.351740i | ||||
\(169\) | −0.504375 | − | 2.20981i | −0.0387980 | − | 0.169985i | ||||
\(170\) | −0.326641 | + | 19.2999i | −0.0250522 | + | 1.48024i | ||||
\(171\) | 3.36236 | 0.257126 | ||||||||
\(172\) | 11.7221 | + | 16.4066i | 0.893802 | + | 1.25099i | ||||
\(173\) | 3.54160i | 0.269263i | 0.990896 | + | 0.134632i | \(0.0429851\pi\) | ||||
−0.990896 | + | 0.134632i | \(0.957015\pi\) | |||||||
\(174\) | 2.04189 | − | 8.94611i | 0.154795 | − | 0.678203i | ||||
\(175\) | 2.73417 | − | 0.624056i | 0.206684 | − | 0.0471742i | ||||
\(176\) | 0.164343 | − | 0.341261i | 0.0123878 | − | 0.0257235i | ||||
\(177\) | −10.6240 | − | 8.47233i | −0.798546 | − | 0.636819i | ||||
\(178\) | −39.2006 | −2.93821 | ||||||||
\(179\) | −0.619126 | −0.0462756 | −0.0231378 | − | 0.999732i | \(-0.507366\pi\) | ||||
−0.0231378 | + | 0.999732i | \(0.507366\pi\) | |||||||
\(180\) | −9.43729 | − | 7.52599i | −0.703414 | − | 0.560954i | ||||
\(181\) | 6.67697 | + | 13.8649i | 0.496296 | + | 1.03057i | 0.987220 | + | 0.159366i | \(0.0509450\pi\) |
−0.490924 | + | 0.871202i | \(0.663341\pi\) | |||||||
\(182\) | −28.3285 | + | 22.5912i | −2.09985 | + | 1.67457i | ||||
\(183\) | 6.85397 | − | 3.30070i | 0.506660 | − | 0.243995i | ||||
\(184\) | 5.20633 | + | 1.18831i | 0.383816 | + | 0.0876034i | ||||
\(185\) | −0.669732 | + | 0.839817i | −0.0492396 | + | 0.0617446i | ||||
\(186\) | 3.70039 | − | 16.2125i | 0.271326 | − | 1.18876i | ||||
\(187\) | −2.18349 | − | 0.537396i | −0.159672 | − | 0.0392983i | ||||
\(188\) | 16.9122 | + | 21.2072i | 1.23345 | + | 1.54669i | ||||
\(189\) | −13.2262 | − | 16.5851i | −0.962065 | − | 1.20639i | ||||
\(190\) | −8.12444 | + | 1.85435i | −0.589409 | + | 0.134529i | ||||
\(191\) | −14.8133 | − | 7.13373i | −1.07186 | − | 0.516179i | −0.187152 | − | 0.982331i | \(-0.559926\pi\) |
−0.884705 | + | 0.466152i | \(0.845640\pi\) | |||||||
\(192\) | 5.96672 | + | 12.3900i | 0.430611 | + | 0.894172i | ||||
\(193\) | −0.986128 | + | 0.225077i | −0.0709830 | + | 0.0162014i | −0.257865 | − | 0.966181i | \(-0.583019\pi\) |
0.186882 | + | 0.982382i | \(0.440162\pi\) | |||||||
\(194\) | −25.6988 | + | 5.86558i | −1.84507 | + | 0.421124i | ||||
\(195\) | −7.71132 | + | 3.71357i | −0.552219 | + | 0.265935i | ||||
\(196\) | 27.5524 | + | 13.2685i | 1.96803 | + | 0.947752i | ||||
\(197\) | −10.4843 | + | 2.39298i | −0.746979 | + | 0.170493i | −0.579034 | − | 0.815303i | \(-0.696570\pi\) |
−0.167945 | + | 0.985796i | \(0.553713\pi\) | |||||||
\(198\) | 1.81444 | − | 1.44697i | 0.128947 | − | 0.102832i | ||||
\(199\) | 1.93169 | − | 1.54047i | 0.136934 | − | 0.109201i | −0.552628 | − | 0.833428i | \(-0.686375\pi\) |
0.689561 | + | 0.724227i | \(0.257803\pi\) | |||||||
\(200\) | −1.48645 | − | 0.715839i | −0.105108 | − | 0.0506175i | ||||
\(201\) | 9.99883 | + | 2.28217i | 0.705263 | + | 0.160972i | ||||
\(202\) | 2.12277 | − | 2.66187i | 0.149358 | − | 0.187288i | ||||
\(203\) | 3.53971 | − | 15.5085i | 0.248439 | − | 1.08848i | ||||
\(204\) | 10.5879 | − | 8.15428i | 0.741298 | − | 0.570914i | ||||
\(205\) | 5.74085 | + | 7.19880i | 0.400958 | + | 0.502786i | ||||
\(206\) | −4.56057 | + | 2.19625i | −0.317750 | + | 0.153020i | ||||
\(207\) | −3.25670 | − | 2.59713i | −0.226356 | − | 0.180513i | ||||
\(208\) | −2.71364 | −0.188157 | ||||||||
\(209\) | − | 0.970786i | − | 0.0671507i | ||||||
\(210\) | 15.8818 | + | 12.6653i | 1.09595 | + | 0.873988i | ||||
\(211\) | −1.74942 | + | 3.63272i | −0.120435 | + | 0.250086i | −0.952467 | − | 0.304641i | \(-0.901463\pi\) |
0.832032 | + | 0.554728i | \(0.187178\pi\) | |||||||
\(212\) | −9.48512 | − | 41.5570i | −0.651440 | − | 2.85415i | ||||
\(213\) | −3.20278 | + | 14.0323i | −0.219451 | + | 0.961476i | ||||
\(214\) | − | 13.9358i | − | 0.952634i | ||||||
\(215\) | 5.25619 | + | 12.5729i | 0.358469 | + | 0.857463i | ||||
\(216\) | 12.4795i | 0.849119i | ||||||||
\(217\) | 6.41481 | − | 28.1051i | 0.435465 | − | 1.90790i | ||||
\(218\) | −5.74891 | + | 1.31215i | −0.389365 | + | 0.0888700i | ||||
\(219\) | 8.46948 | + | 4.07868i | 0.572314 | + | 0.275612i | ||||
\(220\) | −2.17292 | + | 2.72475i | −0.146498 | + | 0.183703i | ||||
\(221\) | 3.31852 | + | 15.7645i | 0.223228 | + | 1.06044i | ||||
\(222\) | 1.22738 | 0.0823767 | ||||||||
\(223\) | −5.24206 | + | 6.57333i | −0.351034 | + | 0.440183i | −0.925731 | − | 0.378184i | \(-0.876549\pi\) |
0.574696 | + | 0.818367i | \(0.305120\pi\) | |||||||
\(224\) | 11.4448 | + | 23.7655i | 0.764691 | + | 1.58790i | ||||
\(225\) | 0.802373 | + | 1.00614i | 0.0534916 | + | 0.0670763i | ||||
\(226\) | −10.1240 | − | 21.0227i | −0.673437 | − | 1.39841i | ||||
\(227\) | −4.17116 | − | 0.952039i | −0.276849 | − | 0.0631891i | 0.0818419 | − | 0.996645i | \(-0.473920\pi\) |
−0.358691 | + | 0.933456i | \(0.616777\pi\) | |||||||
\(228\) | 4.51077 | + | 3.59722i | 0.298733 | + | 0.238232i | ||||
\(229\) | −1.10708 | + | 4.85044i | −0.0731579 | + | 0.320526i | −0.998244 | − | 0.0592309i | \(-0.981135\pi\) |
0.925086 | + | 0.379757i | \(0.123992\pi\) | |||||||
\(230\) | 9.30146 | + | 4.47935i | 0.613320 | + | 0.295359i | ||||
\(231\) | −1.85013 | + | 1.47543i | −0.121729 | + | 0.0970759i | ||||
\(232\) | −7.31644 | + | 5.83467i | −0.480348 | + | 0.383065i | ||||
\(233\) | 18.5103 | − | 4.22485i | 1.21265 | − | 0.276779i | 0.432071 | − | 0.901839i | \(-0.357783\pi\) |
0.780576 | + | 0.625061i | \(0.214926\pi\) | |||||||
\(234\) | −14.9801 | − | 7.21404i | −0.979280 | − | 0.471596i | ||||
\(235\) | 7.95390 | + | 16.5164i | 0.518855 | + | 1.07741i | ||||
\(236\) | 8.82094 | + | 38.6471i | 0.574194 | + | 2.51571i | ||||
\(237\) | −0.654701 | − | 2.86843i | −0.0425274 | − | 0.186325i | ||||
\(238\) | 30.2926 | − | 23.3300i | 1.96358 | − | 1.51226i | ||||
\(239\) | −8.52275 | − | 4.10434i | −0.551291 | − | 0.265488i | 0.137434 | − | 0.990511i | \(-0.456115\pi\) |
−0.688724 | + | 0.725023i | \(0.741829\pi\) | |||||||
\(240\) | 0.338531 | + | 1.48320i | 0.0218521 | + | 0.0957404i | ||||
\(241\) | 7.37217 | − | 5.87911i | 0.474883 | − | 0.378707i | −0.356600 | − | 0.934257i | \(-0.616064\pi\) |
0.831483 | + | 0.555551i | \(0.187493\pi\) | |||||||
\(242\) | 15.0326 | + | 18.8503i | 0.966331 | + | 1.21174i | ||||
\(243\) | 6.81520 | − | 14.1519i | 0.437195 | − | 0.907845i | ||||
\(244\) | −21.6359 | − | 4.93826i | −1.38510 | − | 0.316139i | ||||
\(245\) | 16.1584 | + | 12.8859i | 1.03232 | + | 0.823251i | ||||
\(246\) | 2.34114 | − | 10.2572i | 0.149265 | − | 0.653975i | ||||
\(247\) | −6.26627 | + | 3.01767i | −0.398713 | + | 0.192010i | ||||
\(248\) | −13.2591 | + | 10.5738i | −0.841956 | + | 0.671438i | ||||
\(249\) | 4.54418 | + | 9.43608i | 0.287976 | + | 0.597988i | ||||
\(250\) | −20.7947 | − | 16.5833i | −1.31518 | − | 1.04882i | ||||
\(251\) | 28.1594 | 1.77741 | 0.888703 | − | 0.458483i | \(-0.151607\pi\) | ||||
0.888703 | + | 0.458483i | \(0.151607\pi\) | |||||||
\(252\) | 23.9100i | 1.50619i | ||||||||
\(253\) | −0.749848 | + | 0.940280i | −0.0471426 | + | 0.0591149i | ||||
\(254\) | 11.5613 | + | 5.56764i | 0.725422 | + | 0.349345i | ||||
\(255\) | 8.20247 | − | 3.78046i | 0.513658 | − | 0.236742i | ||||
\(256\) | 2.50257 | − | 10.9645i | 0.156410 | − | 0.685279i | ||||
\(257\) | −8.11466 | −0.506178 | −0.253089 | − | 0.967443i | \(-0.581447\pi\) | ||||
−0.253089 | + | 0.967443i | \(0.581447\pi\) | |||||||
\(258\) | 7.48736 | − | 13.6528i | 0.466142 | − | 0.849989i | ||||
\(259\) | 2.12773 | 0.132211 | ||||||||
\(260\) | 24.3423 | + | 5.55597i | 1.50965 | + | 0.344567i | ||||
\(261\) | 7.11647 | − | 1.62429i | 0.440498 | − | 0.100541i | ||||
\(262\) | −18.1978 | + | 37.7882i | −1.12427 | + | 2.33456i | ||||
\(263\) | −9.35096 | + | 11.7257i | −0.576605 | + | 0.723040i | −0.981530 | − | 0.191310i | \(-0.938726\pi\) |
0.404925 | + | 0.914350i | \(0.367298\pi\) | |||||||
\(264\) | 1.39212 | 0.0856793 | ||||||||
\(265\) | − | 28.8077i | − | 1.76964i | ||||||
\(266\) | 12.9056 | + | 10.2919i | 0.791295 | + | 0.631036i | ||||
\(267\) | 7.95828 | + | 16.5255i | 0.487039 | + | 1.01135i | ||||
\(268\) | −18.6542 | − | 23.3916i | −1.13949 | − | 1.42887i | ||||
\(269\) | −3.82391 | − | 7.94043i | −0.233148 | − | 0.484137i | 0.751267 | − | 0.659999i | \(-0.229443\pi\) |
−0.984415 | + | 0.175862i | \(0.943729\pi\) | |||||||
\(270\) | −5.36845 | + | 23.5207i | −0.326713 | + | 1.43142i | ||||
\(271\) | −8.50818 | + | 10.6689i | −0.516835 | + | 0.648091i | −0.969934 | − | 0.243370i | \(-0.921747\pi\) |
0.453099 | + | 0.891460i | \(0.350319\pi\) | |||||||
\(272\) | 2.86315 | + | 0.0484572i | 0.173604 | + | 0.00293815i | ||||
\(273\) | 15.2747 | + | 7.35592i | 0.924469 | + | 0.445201i | ||||
\(274\) | 22.9732 | + | 28.8075i | 1.38786 | + | 1.74033i | ||||
\(275\) | 0.290496 | − | 0.231663i | 0.0175176 | − | 0.0139698i | ||||
\(276\) | −1.59048 | − | 6.96836i | −0.0957358 | − | 0.419446i | ||||
\(277\) | 10.1843 | − | 21.1479i | 0.611915 | − | 1.27065i | −0.332872 | − | 0.942972i | \(-0.608018\pi\) |
0.944788 | − | 0.327683i | \(-0.106268\pi\) | |||||||
\(278\) | −18.7614 | − | 38.9585i | −1.12523 | − | 2.33657i | ||||
\(279\) | 12.8967 | − | 2.94360i | 0.772108 | − | 0.176229i | ||||
\(280\) | −4.60979 | − | 20.1968i | −0.275488 | − | 1.20699i | ||||
\(281\) | −9.93969 | + | 4.78670i | −0.592952 | + | 0.285551i | −0.706196 | − | 0.708017i | \(-0.749590\pi\) |
0.113244 | + | 0.993567i | \(0.463876\pi\) | |||||||
\(282\) | 9.08844 | − | 18.8724i | 0.541209 | − | 1.12383i | ||||
\(283\) | −7.67980 | + | 1.75287i | −0.456517 | + | 0.104197i | −0.444595 | − | 0.895732i | \(-0.646652\pi\) |
−0.0119224 | + | 0.999929i | \(0.503795\pi\) | |||||||
\(284\) | 32.8276 | − | 26.1792i | 1.94796 | − | 1.55345i | ||||
\(285\) | 2.43111 | + | 3.04851i | 0.144006 | + | 0.180578i | ||||
\(286\) | −2.08285 | + | 4.32508i | −0.123162 | + | 0.255748i | ||||
\(287\) | 4.05847 | − | 17.7813i | 0.239564 | − | 1.04960i | ||||
\(288\) | −7.54676 | + | 9.46334i | −0.444697 | + | 0.557633i | ||||
\(289\) | −3.21985 | − | 16.6923i | −0.189403 | − | 0.981899i | ||||
\(290\) | −16.2997 | + | 7.84950i | −0.957149 | + | 0.460939i | ||||
\(291\) | 7.68994 | + | 9.64288i | 0.450792 | + | 0.565276i | ||||
\(292\) | −11.8985 | − | 24.7074i | −0.696304 | − | 1.44589i | ||||
\(293\) | −16.9695 | + | 21.2790i | −0.991366 | + | 1.24313i | −0.0214312 | + | 0.999770i | \(0.506822\pi\) |
−0.969935 | + | 0.243364i | \(0.921749\pi\) | |||||||
\(294\) | − | 23.6154i | − | 1.37728i | ||||||
\(295\) | 26.7905i | 1.55980i | ||||||||
\(296\) | −0.978631 | − | 0.780432i | −0.0568818 | − | 0.0453617i | ||||
\(297\) | −2.53215 | − | 1.21942i | −0.146931 | − | 0.0707580i | ||||
\(298\) | −4.03613 | − | 17.6834i | −0.233807 | − | 1.02437i | ||||
\(299\) | 8.40024 | + | 1.91730i | 0.485799 | + | 0.110880i | ||||
\(300\) | 2.20821i | 0.127491i | ||||||||
\(301\) | 12.9797 | − | 23.6678i | 0.748136 | − | 1.36419i | ||||
\(302\) | 20.6474 | 1.18813 | ||||||||
\(303\) | −1.55310 | − | 0.354485i | −0.0892232 | − | 0.0203646i | ||||
\(304\) | 0.275093 | + | 1.20526i | 0.0157777 | + | 0.0691264i | ||||
\(305\) | −13.5129 | − | 6.50748i | −0.773748 | − | 0.372617i | ||||
\(306\) | 15.6766 | + | 7.87898i | 0.896170 | + | 0.450411i | ||||
\(307\) | 7.42139 | 0.423561 | 0.211781 | − | 0.977317i | \(-0.432074\pi\) | ||||
0.211781 | + | 0.977317i | \(0.432074\pi\) | |||||||
\(308\) | 6.90333 | 0.393354 | ||||||||
\(309\) | 1.85172 | + | 1.47670i | 0.105341 | + | 0.0840065i | ||||
\(310\) | −29.5389 | + | 14.2252i | −1.67770 | + | 0.807936i | ||||
\(311\) | −11.2680 | + | 8.98595i | −0.638951 | + | 0.509547i | −0.888536 | − | 0.458806i | \(-0.848277\pi\) |
0.249585 | + | 0.968353i | \(0.419706\pi\) | |||||||
\(312\) | −4.32739 | − | 8.98593i | −0.244990 | − | 0.508728i | ||||
\(313\) | −11.6055 | − | 2.64889i | −0.655984 | − | 0.149724i | −0.118442 | − | 0.992961i | \(-0.537790\pi\) |
−0.537542 | + | 0.843237i | \(0.680647\pi\) | |||||||
\(314\) | −18.6341 | + | 23.3664i | −1.05158 | + | 1.31864i | ||||
\(315\) | −3.59573 | + | 15.7539i | −0.202596 | + | 0.887633i | ||||
\(316\) | −3.72405 | + | 7.73308i | −0.209494 | + | 0.435019i | ||||
\(317\) | −3.90597 | + | 3.11491i | −0.219381 | + | 0.174951i | −0.727013 | − | 0.686623i | \(-0.759092\pi\) |
0.507632 | + | 0.861574i | \(0.330521\pi\) | |||||||
\(318\) | −25.7354 | + | 20.5233i | −1.44317 | + | 1.15089i | ||||
\(319\) | −0.468967 | − | 2.05468i | −0.0262571 | − | 0.115040i | ||||
\(320\) | 11.7637 | − | 24.4275i | 0.657609 | − | 1.36554i | ||||
\(321\) | −5.87484 | + | 2.82917i | −0.327902 | + | 0.157909i | ||||
\(322\) | −4.55048 | − | 19.9370i | −0.253588 | − | 1.11104i | ||||
\(323\) | 6.66538 | − | 3.07203i | 0.370871 | − | 0.170932i | ||||
\(324\) | −0.650707 | + | 0.313364i | −0.0361504 | + | 0.0174091i | ||||
\(325\) | −2.39835 | − | 1.15498i | −0.133036 | − | 0.0640669i | ||||
\(326\) | 43.7818 | − | 9.99291i | 2.42485 | − | 0.553456i | ||||
\(327\) | 1.72027 | + | 2.15714i | 0.0951309 | + | 0.119290i | ||||
\(328\) | −8.38869 | + | 6.68976i | −0.463188 | + | 0.369380i | ||||
\(329\) | 15.7552 | − | 32.7161i | 0.868615 | − | 1.80370i | ||||
\(330\) | 2.62381 | + | 0.598868i | 0.144436 | + | 0.0329666i | ||||
\(331\) | 3.92065 | − | 4.91634i | 0.215498 | − | 0.270226i | −0.662319 | − | 0.749222i | \(-0.730428\pi\) |
0.877817 | + | 0.478996i | \(0.158999\pi\) | |||||||
\(332\) | 6.79866 | − | 29.7869i | 0.373125 | − | 1.63477i | ||||
\(333\) | 0.423628 | + | 0.879672i | 0.0232147 | + | 0.0482057i | ||||
\(334\) | 0.823657 | − | 0.656845i | 0.0450685 | − | 0.0359410i | ||||
\(335\) | −8.77318 | − | 18.2177i | −0.479330 | − | 0.995339i | ||||
\(336\) | 1.87889 | − | 2.35606i | 0.102502 | − | 0.128534i | ||||
\(337\) | − | 25.4596i | − | 1.38687i | −0.720518 | − | 0.693436i | \(-0.756096\pi\) | ||
0.720518 | − | 0.693436i | \(-0.243904\pi\) | |||||||
\(338\) | 5.10621 | 0.277741 | ||||||||
\(339\) | −6.80707 | + | 8.53580i | −0.369709 | + | 0.463601i | ||||
\(340\) | −25.5842 | − | 6.29674i | −1.38750 | − | 0.341489i | ||||
\(341\) | −0.849880 | − | 3.72357i | −0.0460236 | − | 0.201643i | ||||
\(342\) | −1.68551 | + | 7.38471i | −0.0911420 | + | 0.399319i | ||||
\(343\) | − | 12.1233i | − | 0.654598i | ||||||
\(344\) | −14.6511 | + | 6.12500i | −0.789932 | + | 0.330238i | ||||
\(345\) | − | 4.83053i | − | 0.260067i | ||||||
\(346\) | −7.77838 | − | 1.77536i | −0.418168 | − | 0.0954442i | ||||
\(347\) | 1.21204 | − | 0.276640i | 0.0650657 | − | 0.0148508i | −0.189864 | − | 0.981810i | \(-0.560805\pi\) |
0.254930 | + | 0.966960i | \(0.417948\pi\) | |||||||
\(348\) | 11.2848 | + | 5.43449i | 0.604931 | + | 0.291319i | ||||
\(349\) | −6.01635 | + | 7.54426i | −0.322048 | + | 0.403835i | −0.916332 | − | 0.400420i | \(-0.868864\pi\) |
0.594284 | + | 0.804255i | \(0.297436\pi\) | |||||||
\(350\) | 6.31785i | 0.337703i | ||||||||
\(351\) | 20.1352i | 1.07474i | ||||||||
\(352\) | 2.73227 | + | 2.17891i | 0.145631 | + | 0.116137i | ||||
\(353\) | −15.1461 | + | 7.29398i | −0.806146 | + | 0.388220i | −0.791115 | − | 0.611667i | \(-0.790499\pi\) |
−0.0150313 | + | 0.999887i | \(0.504785\pi\) | |||||||
\(354\) | 23.9333 | − | 19.0862i | 1.27204 | − | 1.01442i | ||||
\(355\) | 25.5666 | − | 12.3122i | 1.35693 | − | 0.653465i | ||||
\(356\) | 11.9066 | − | 52.1662i | 0.631048 | − | 2.76480i | ||||
\(357\) | −15.9849 | − | 8.03394i | −0.846010 | − | 0.425201i | ||||
\(358\) | 0.310360 | − | 1.35978i | 0.0164031 | − | 0.0718665i | ||||
\(359\) | −23.6200 | − | 11.3748i | −1.24661 | − | 0.600338i | −0.310012 | − | 0.950733i | \(-0.600333\pi\) |
−0.936602 | + | 0.350395i | \(0.886047\pi\) | |||||||
\(360\) | 7.43222 | − | 5.92700i | 0.391712 | − | 0.312380i | ||||
\(361\) | −9.87077 | − | 12.3776i | −0.519514 | − | 0.651451i | ||||
\(362\) | −33.7983 | + | 7.71425i | −1.77640 | + | 0.405452i | ||||
\(363\) | 4.89476 | − | 10.1641i | 0.256908 | − | 0.533475i | ||||
\(364\) | −21.4589 | − | 44.5599i | −1.12475 | − | 2.33557i | ||||
\(365\) | −4.12406 | − | 18.0687i | −0.215863 | − | 0.945758i | ||||
\(366\) | 3.81346 | + | 16.7079i | 0.199333 | + | 0.873335i | ||||
\(367\) | 6.39494 | + | 13.2792i | 0.333813 | + | 0.693170i | 0.998546 | − | 0.0539111i | \(-0.0171687\pi\) |
−0.664732 | + | 0.747082i | \(0.731454\pi\) | |||||||
\(368\) | 0.664511 | − | 1.37987i | 0.0346400 | − | 0.0719308i | ||||
\(369\) | 8.15941 | − | 1.86233i | 0.424762 | − | 0.0969492i | ||||
\(370\) | −1.50875 | − | 1.89191i | −0.0784362 | − | 0.0983559i | ||||
\(371\) | −44.6135 | + | 35.5781i | −2.31622 | + | 1.84712i | ||||
\(372\) | 20.4508 | + | 9.84860i | 1.06033 | + | 0.510626i | ||||
\(373\) | 0.738786 | − | 3.23683i | 0.0382529 | − | 0.167597i | −0.952193 | − | 0.305496i | \(-0.901178\pi\) |
0.990446 | + | 0.137899i | \(0.0440349\pi\) | |||||||
\(374\) | 2.27483 | − | 4.52617i | 0.117629 | − | 0.234043i | ||||
\(375\) | −2.76927 | + | 12.1329i | −0.143004 | + | 0.626543i | ||||
\(376\) | −19.2465 | + | 9.26861i | −0.992561 | + | 0.477992i | ||||
\(377\) | −11.8048 | + | 9.41404i | −0.607980 | + | 0.484848i | ||||
\(378\) | 43.0559 | − | 20.7346i | 2.21456 | − | 1.06647i | ||||
\(379\) | 19.0339 | + | 15.1791i | 0.977708 | + | 0.779696i | 0.975432 | − | 0.220302i | \(-0.0707041\pi\) |
0.00227585 | + | 0.999997i | \(0.499276\pi\) | |||||||
\(380\) | − | 11.3748i | − | 0.583516i | ||||||
\(381\) | − | 6.00414i | − | 0.307602i | ||||||
\(382\) | 23.0935 | − | 28.9583i | 1.18157 | − | 1.48164i | ||||
\(383\) | 13.7638 | + | 6.62828i | 0.703295 | + | 0.338689i | 0.751119 | − | 0.660167i | \(-0.229514\pi\) |
−0.0478240 | + | 0.998856i | \(0.515229\pi\) | |||||||
\(384\) | −17.0330 | + | 3.88768i | −0.869214 | + | 0.198392i | ||||
\(385\) | 4.54850 | + | 1.03817i | 0.231813 | + | 0.0529098i | ||||
\(386\) | − | 2.27865i | − | 0.115980i | ||||||
\(387\) | 12.3693 | + | 0.653986i | 0.628766 | + | 0.0332440i | ||||
\(388\) | − | 35.9802i | − | 1.82662i | ||||||
\(389\) | −3.76496 | + | 16.4954i | −0.190891 | + | 0.836348i | 0.785245 | + | 0.619186i | \(0.212537\pi\) |
−0.976136 | + | 0.217162i | \(0.930320\pi\) | |||||||
\(390\) | −4.29048 | − | 18.7978i | −0.217257 | − | 0.951865i | ||||
\(391\) | −8.82880 | − | 2.17293i | −0.446492 | − | 0.109890i | ||||
\(392\) | −15.0159 | + | 18.8293i | −0.758415 | + | 0.951022i | ||||
\(393\) | 19.6246 | 0.989928 | ||||||||
\(394\) | − | 24.2262i | − | 1.22050i | ||||||
\(395\) | −3.61667 | + | 4.53516i | −0.181974 | + | 0.228189i | ||||
\(396\) | 1.37444 | + | 2.85406i | 0.0690684 | + | 0.143422i | ||||
\(397\) | 7.25116 | − | 5.78261i | 0.363926 | − | 0.290221i | −0.424406 | − | 0.905472i | \(-0.639517\pi\) |
0.788331 | + | 0.615251i | \(0.210945\pi\) | |||||||
\(398\) | 2.41498 | + | 5.01476i | 0.121052 | + | 0.251367i | ||||
\(399\) | 1.71866 | − | 7.52994i | 0.0860407 | − | 0.376969i | ||||
\(400\) | −0.295013 | + | 0.369934i | −0.0147506 | + | 0.0184967i | ||||
\(401\) | −4.43097 | − | 1.01134i | −0.221272 | − | 0.0505039i | 0.110447 | − | 0.993882i | \(-0.464772\pi\) |
−0.331720 | + | 0.943378i | \(0.607629\pi\) | |||||||
\(402\) | −10.0246 | + | 20.8163i | −0.499981 | + | 1.03822i | ||||
\(403\) | −21.3932 | + | 17.0605i | −1.06567 | + | 0.849844i | ||||
\(404\) | 2.89752 | + | 3.63338i | 0.144157 | + | 0.180767i | ||||
\(405\) | −0.475867 | + | 0.108613i | −0.0236460 | + | 0.00539705i | ||||
\(406\) | 32.2867 | + | 15.5485i | 1.60236 | + | 0.771657i | ||||
\(407\) | 0.253980 | − | 0.122311i | 0.0125893 | − | 0.00606271i | ||||
\(408\) | 4.40534 | + | 9.55826i | 0.218097 | + | 0.473204i | ||||
\(409\) | −0.763402 | − | 3.34468i | −0.0377478 | − | 0.165384i | 0.952541 | − | 0.304411i | \(-0.0984596\pi\) |
−0.990289 | + | 0.139027i | \(0.955602\pi\) | |||||||
\(410\) | −18.6884 | + | 8.99988i | −0.922956 | + | 0.444472i | ||||
\(411\) | 7.48030 | − | 15.5330i | 0.368976 | − | 0.766187i | ||||
\(412\) | −1.53746 | − | 6.73606i | −0.0757452 | − | 0.331862i | ||||
\(413\) | 41.4896 | − | 33.0868i | 2.04157 | − | 1.62810i | ||||
\(414\) | 7.33659 | − | 5.85074i | 0.360574 | − | 0.287548i | ||||
\(415\) | 8.95906 | − | 18.6037i | 0.439783 | − | 0.913219i | ||||
\(416\) | 5.57131 | − | 24.4095i | 0.273156 | − | 1.19677i | ||||
\(417\) | −12.6146 | + | 15.8183i | −0.617741 | + | 0.774623i | ||||
\(418\) | 2.13213 | + | 0.486644i | 0.104286 | + | 0.0238025i | ||||
\(419\) | −9.47327 | − | 19.6714i | −0.462799 | − | 0.961013i | −0.993540 | − | 0.113479i | \(-0.963801\pi\) |
0.530741 | − | 0.847534i | \(-0.321914\pi\) | |||||||
\(420\) | −21.6782 | + | 17.2878i | −1.05779 | + | 0.843557i | ||||
\(421\) | 5.89909 | − | 2.84085i | 0.287504 | − | 0.138455i | −0.284573 | − | 0.958654i | \(-0.591852\pi\) |
0.572077 | + | 0.820200i | \(0.306138\pi\) | |||||||
\(422\) | −7.10152 | − | 5.66327i | −0.345697 | − | 0.275684i | ||||
\(423\) | 16.6627 | 0.810170 | ||||||||
\(424\) | 33.5693 | 1.63027 | ||||||||
\(425\) | 2.50985 | + | 1.26144i | 0.121746 | + | 0.0611889i | ||||
\(426\) | −29.2134 | − | 14.0684i | −1.41539 | − | 0.681618i | ||||
\(427\) | 6.61082 | + | 28.9639i | 0.319920 | + | 1.40166i | ||||
\(428\) | 18.5451 | + | 4.23280i | 0.896411 | + | 0.204600i | ||||
\(429\) | 2.24615 | 0.108445 | ||||||||
\(430\) | −30.2485 | + | 5.24148i | −1.45871 | + | 0.252767i | ||||
\(431\) | − | 31.4850i | − | 1.51658i | −0.651918 | − | 0.758290i | \(-0.726035\pi\) | ||
0.651918 | − | 0.758290i | \(-0.273965\pi\) | |||||||
\(432\) | 3.48930 | + | 0.796409i | 0.167879 | + | 0.0383172i | ||||
\(433\) | 2.55686 | + | 11.2023i | 0.122875 | + | 0.538350i | 0.998470 | + | 0.0553035i | \(0.0176126\pi\) |
−0.875595 | + | 0.483046i | \(0.839530\pi\) | |||||||
\(434\) | 58.5112 | + | 28.1775i | 2.80863 | + | 1.35256i | ||||
\(435\) | 6.61813 | + | 5.27778i | 0.317315 | + | 0.253050i | ||||
\(436\) | − | 8.04890i | − | 0.385472i | ||||||
\(437\) | − | 3.92532i | − | 0.187773i | ||||||
\(438\) | −13.2036 | + | 16.5568i | −0.630893 | + | 0.791115i | ||||
\(439\) | 11.6654 | + | 24.2235i | 0.556760 | + | 1.15613i | 0.969458 | + | 0.245257i | \(0.0788723\pi\) |
−0.412698 | + | 0.910868i | \(0.635413\pi\) | |||||||
\(440\) | −1.71125 | − | 2.14584i | −0.0815808 | − | 0.102299i | ||||
\(441\) | 16.9253 | − | 8.15078i | 0.805965 | − | 0.388132i | ||||
\(442\) | −36.2870 | − | 0.614137i | −1.72599 | − | 0.0292115i | ||||
\(443\) | 8.87359 | − | 11.1271i | 0.421597 | − | 0.528666i | −0.524993 | − | 0.851107i | \(-0.675932\pi\) |
0.946590 | + | 0.322441i | \(0.104503\pi\) | |||||||
\(444\) | −0.372800 | + | 1.63334i | −0.0176923 | + | 0.0775150i | ||||
\(445\) | 15.6901 | − | 32.5809i | 0.743783 | − | 1.54448i | ||||
\(446\) | −11.8091 | − | 14.8082i | −0.559179 | − | 0.701188i | ||||
\(447\) | −6.63530 | + | 5.29148i | −0.313839 | + | 0.250278i | ||||
\(448\) | −52.3584 | + | 11.9505i | −2.47370 | + | 0.564607i | ||||
\(449\) | 11.5927 | − | 24.0726i | 0.547095 | − | 1.13605i | −0.425802 | − | 0.904816i | \(-0.640008\pi\) |
0.972897 | − | 0.231238i | \(-0.0742776\pi\) | |||||||
\(450\) | −2.61200 | + | 1.25787i | −0.123131 | + | 0.0592968i | ||||
\(451\) | −0.537696 | − | 2.35580i | −0.0253191 | − | 0.110930i | ||||
\(452\) | 31.0509 | − | 7.08716i | 1.46051 | − | 0.333352i | ||||
\(453\) | −4.19173 | − | 8.70421i | −0.196944 | − | 0.408959i | ||||
\(454\) | 4.18190 | − | 8.68381i | 0.196266 | − | 0.407551i | ||||
\(455\) | −7.43775 | − | 32.5869i | −0.348687 | − | 1.52770i | ||||
\(456\) | −3.55240 | + | 2.83294i | −0.166356 | + | 0.132665i | ||||
\(457\) | 9.99309 | + | 12.5309i | 0.467457 | + | 0.586173i | 0.958546 | − | 0.284937i | \(-0.0919726\pi\) |
−0.491089 | + | 0.871109i | \(0.663401\pi\) | |||||||
\(458\) | −10.0980 | − | 4.86293i | −0.471848 | − | 0.227230i | ||||
\(459\) | 0.359552 | − | 21.2445i | 0.0167824 | − | 0.991608i | ||||
\(460\) | −8.78607 | + | 11.0174i | −0.409653 | + | 0.513688i | ||||
\(461\) | 0.379637 | − | 1.66330i | 0.0176814 | − | 0.0774674i | −0.965317 | − | 0.261079i | \(-0.915922\pi\) |
0.982999 | + | 0.183612i | \(0.0587788\pi\) | |||||||
\(462\) | −2.31301 | − | 4.80302i | −0.107611 | − | 0.223457i | ||||
\(463\) | 8.43863 | + | 10.5817i | 0.392176 | + | 0.491774i | 0.938247 | − | 0.345965i | \(-0.112448\pi\) |
−0.546071 | + | 0.837739i | \(0.683877\pi\) | |||||||
\(464\) | 1.16447 | + | 2.41805i | 0.0540593 | + | 0.112255i | ||||
\(465\) | 11.9936 | + | 9.56461i | 0.556192 | + | 0.443548i | ||||
\(466\) | 42.7717i | 1.98136i | ||||||||
\(467\) | 21.4203 | 0.991214 | 0.495607 | − | 0.868547i | \(-0.334946\pi\) | ||||
0.495607 | + | 0.868547i | \(0.334946\pi\) | |||||||
\(468\) | 14.1501 | − | 17.7436i | 0.654087 | − | 0.820199i | ||||
\(469\) | −17.3781 | + | 36.0860i | −0.802446 | + | 1.66630i | ||||
\(470\) | −40.2621 | + | 9.18955i | −1.85715 | + | 0.423882i | ||||
\(471\) | 13.6334 | + | 3.11174i | 0.628195 | + | 0.143381i | ||||
\(472\) | −31.2187 | −1.43696 | ||||||||
\(473\) | 0.188820 | − | 3.57128i | 0.00868195 | − | 0.164208i | ||||
\(474\) | 6.62809 | 0.304438 | ||||||||
\(475\) | −0.269854 | + | 1.18231i | −0.0123817 | + | 0.0542480i | ||||
\(476\) | 21.8454 | + | 47.3980i | 1.00128 | + | 2.17248i | ||||
\(477\) | −23.5916 | − | 11.3611i | −1.08019 | − | 0.520190i | ||||
\(478\) | 13.2867 | − | 16.6609i | 0.607718 | − | 0.762054i | ||||
\(479\) | 11.7436i | 0.536578i | 0.963339 | + | 0.268289i | \(0.0864582\pi\) | ||||
−0.963339 | + | 0.268289i | \(0.913542\pi\) | |||||||
\(480\) | −14.0366 | −0.640680 | ||||||||
\(481\) | −1.57899 | − | 1.25920i | −0.0719957 | − | 0.0574147i | ||||
\(482\) | 9.21663 | + | 19.1385i | 0.419806 | + | 0.871736i | ||||
\(483\) | −7.48088 | + | 5.96580i | −0.340392 | + | 0.271453i | ||||
\(484\) | −29.6509 | + | 14.2791i | −1.34777 | + | 0.649051i | ||||
\(485\) | 5.41093 | − | 23.7068i | 0.245698 | − | 1.07647i | ||||
\(486\) | 27.6653 | + | 22.0623i | 1.25492 | + | 1.00077i | ||||
\(487\) | −25.7721 | − | 5.88231i | −1.16785 | − | 0.266553i | −0.405729 | − | 0.913993i | \(-0.632982\pi\) |
−0.762116 | + | 0.647440i | \(0.775840\pi\) | |||||||
\(488\) | 7.58311 | − | 15.7465i | 0.343271 | − | 0.712810i | ||||
\(489\) | −13.1010 | − | 16.4281i | −0.592447 | − | 0.742905i | ||||
\(490\) | −36.4012 | + | 29.0290i | −1.64444 | + | 1.31140i | ||||
\(491\) | 6.83722 | + | 29.9558i | 0.308559 | + | 1.35189i | 0.856836 | + | 0.515589i | \(0.172427\pi\) |
−0.548277 | + | 0.836297i | \(0.684716\pi\) | |||||||
\(492\) | 12.9387 | + | 6.23094i | 0.583320 | + | 0.280912i | ||||
\(493\) | 12.6233 | − | 9.72189i | 0.568525 | − | 0.437852i | ||||
\(494\) | −3.48647 | − | 15.2752i | −0.156864 | − | 0.687266i | ||||
\(495\) | 0.476388 | + | 2.08719i | 0.0214121 | + | 0.0938124i | ||||
\(496\) | 2.11030 | + | 4.38209i | 0.0947555 | + | 0.196762i | ||||
\(497\) | −50.6428 | − | 24.3883i | −2.27164 | − | 1.09396i | ||||
\(498\) | −23.0023 | + | 5.25012i | −1.03076 | + | 0.235264i | ||||
\(499\) | 0.537207 | − | 0.428408i | 0.0240487 | − | 0.0191782i | −0.611392 | − | 0.791328i | \(-0.709390\pi\) |
0.635440 | + | 0.772150i | \(0.280819\pi\) | |||||||
\(500\) | 28.3843 | − | 22.6357i | 1.26938 | − | 1.01230i | ||||
\(501\) | −0.444116 | − | 0.213875i | −0.0198416 | − | 0.00955523i | ||||
\(502\) | −14.1160 | + | 61.8462i | −0.630027 | + | 2.76033i | ||||
\(503\) | −10.1758 | − | 8.11492i | −0.453716 | − | 0.361826i | 0.369808 | − | 0.929108i | \(-0.379424\pi\) |
−0.823524 | + | 0.567282i | \(0.807995\pi\) | |||||||
\(504\) | −18.3579 | − | 4.19007i | −0.817726 | − | 0.186641i | ||||
\(505\) | 1.36272 | + | 2.82972i | 0.0606403 | + | 0.125921i | ||||
\(506\) | −1.68923 | − | 2.11823i | −0.0750956 | − | 0.0941670i | ||||
\(507\) | −1.03663 | − | 2.15259i | −0.0460386 | − | 0.0956000i | ||||
\(508\) | −10.9207 | + | 13.6941i | −0.484528 | + | 0.607579i | ||||
\(509\) | 10.3058 | 0.456797 | 0.228399 | − | 0.973568i | \(-0.426651\pi\) | ||||
0.228399 | + | 0.973568i | \(0.426651\pi\) | |||||||
\(510\) | 4.19119 | + | 19.9101i | 0.185589 | + | 0.881633i | ||||
\(511\) | −22.8891 | + | 28.7020i | −1.01255 | + | 1.26970i | ||||
\(512\) | −7.04027 | − | 3.39041i | −0.311139 | − | 0.149837i | ||||
\(513\) | 8.94301 | − | 2.04118i | 0.394844 | − | 0.0901205i | ||||
\(514\) | 4.06778 | − | 17.8221i | 0.179422 | − | 0.786100i | ||||
\(515\) | − | 4.66949i | − | 0.205763i | ||||||
\(516\) | 15.8943 | + | 14.1106i | 0.699710 | + | 0.621186i | ||||
\(517\) | − | 4.81090i | − | 0.211583i | ||||||
\(518\) | −1.06661 | + | 4.67310i | −0.0468639 | + | 0.205324i | ||||
\(519\) | 0.830693 | + | 3.63951i | 0.0364634 | + | 0.159757i | ||||
\(520\) | −8.53166 | + | 17.7162i | −0.374138 | + | 0.776906i | ||||
\(521\) | 30.3570 | + | 24.2089i | 1.32996 | + | 1.06061i | 0.992878 | + | 0.119135i | \(0.0380121\pi\) |
0.337084 | + | 0.941475i | \(0.390559\pi\) | |||||||
\(522\) | 16.4440i | 0.719736i | ||||||||
\(523\) | −20.4822 | −0.895626 | −0.447813 | − | 0.894127i | \(-0.647797\pi\) | ||||
−0.447813 | + | 0.894127i | \(0.647797\pi\) | |||||||
\(524\) | −44.7593 | − | 35.6944i | −1.95532 | − | 1.55932i | ||||
\(525\) | 2.66337 | − | 1.28261i | 0.116239 | − | 0.0559778i | ||||
\(526\) | −21.0656 | − | 26.4154i | −0.918502 | − | 1.15177i | ||||
\(527\) | 22.8764 | − | 17.6184i | 0.996513 | − | 0.767469i | ||||
\(528\) | 0.0888420 | − | 0.389242i | 0.00386635 | − | 0.0169396i | ||||
\(529\) | 11.3083 | − | 14.1802i | 0.491665 | − | 0.616528i | ||||
\(530\) | 63.2700 | + | 14.4410i | 2.74827 | + | 0.627275i | ||||
\(531\) | 21.9397 | + | 10.5656i | 0.952101 | + | 0.458508i | ||||
\(532\) | −17.6158 | + | 14.0481i | −0.763743 | + | 0.609064i | ||||
\(533\) | −13.5349 | + | 10.7937i | −0.586261 | + | 0.467527i | ||||
\(534\) | −40.2842 | + | 9.19461i | −1.74327 | + | 0.397890i | ||||
\(535\) | 11.5825 | + | 5.57785i | 0.500756 | + | 0.241151i | ||||
\(536\) | 21.2289 | − | 10.2233i | 0.916950 | − | 0.441580i | ||||
\(537\) | −0.636241 | + | 0.145218i | −0.0274558 | + | 0.00626661i | ||||
\(538\) | 19.3564 | − | 4.41796i | 0.834512 | − | 0.190472i | ||||
\(539\) | −2.35331 | − | 4.88669i | −0.101364 | − | 0.210485i | ||||
\(540\) | −29.6696 | − | 14.2881i | −1.27678 | − | 0.614863i | ||||
\(541\) | 11.6247 | − | 2.65326i | 0.499785 | − | 0.114073i | 0.0348053 | − | 0.999394i | \(-0.488919\pi\) |
0.464979 | + | 0.885322i | \(0.346062\pi\) | |||||||
\(542\) | −19.1670 | − | 24.0346i | −0.823291 | − | 1.03237i | ||||
\(543\) | 10.1136 | + | 12.6820i | 0.434016 | + | 0.544239i | ||||
\(544\) | −6.31412 | + | 25.6548i | −0.270716 | + | 1.09994i | ||||
\(545\) | 1.21044 | − | 5.30329i | 0.0518497 | − | 0.227168i | ||||
\(546\) | −23.8128 | + | 29.8602i | −1.01909 | + | 1.27790i | ||||
\(547\) | −32.4425 | − | 7.40479i | −1.38714 | − | 0.316606i | −0.537187 | − | 0.843463i | \(-0.680513\pi\) |
−0.849954 | + | 0.526857i | \(0.823370\pi\) | |||||||
\(548\) | −45.3133 | + | 21.8218i | −1.93569 | + | 0.932179i | ||||
\(549\) | −10.6584 | + | 8.49980i | −0.454890 | + | 0.362762i | ||||
\(550\) | 0.363176 | + | 0.754142i | 0.0154859 | + | 0.0321567i | ||||
\(551\) | 5.37794 | + | 4.28876i | 0.229108 | + | 0.182707i | ||||
\(552\) | 5.62897 | 0.239585 | ||||||||
\(553\) | 11.4901 | 0.488609 | ||||||||
\(554\) | 41.3416 | + | 32.9688i | 1.75644 | + | 1.40071i | ||||
\(555\) | −0.491264 | + | 1.02012i | −0.0208530 | + | 0.0433017i | ||||
\(556\) | 57.5425 | − | 13.1337i | 2.44034 | − | 0.556993i | ||||
\(557\) | 1.86931 | − | 8.18996i | 0.0792050 | − | 0.347020i | −0.919761 | − | 0.392478i | \(-0.871618\pi\) |
0.998966 | + | 0.0454585i | \(0.0144749\pi\) | |||||||
\(558\) | 29.8005i | 1.26156i | ||||||||
\(559\) | −23.6390 | + | 9.88248i | −0.999823 | + | 0.417984i | ||||
\(560\) | −5.94128 | −0.251065 | ||||||||
\(561\) | −2.36989 | − | 0.0401091i | −0.100057 | − | 0.00169341i | ||||
\(562\) | −5.53032 | − | 24.2299i | −0.233283 | − | 1.02208i | ||||
\(563\) | −31.7229 | − | 15.2770i | −1.33696 | − | 0.643847i | −0.377586 | − | 0.925975i | \(-0.623246\pi\) |
−0.959377 | + | 0.282127i | \(0.908960\pi\) | |||||||
\(564\) | 22.3539 | + | 17.8266i | 0.941269 | + | 0.750637i | ||||
\(565\) | 21.5248 | 0.905553 | ||||||||
\(566\) | − | 17.7457i | − | 0.745909i | ||||||
\(567\) | 0.755911 | + | 0.602819i | 0.0317453 | + | 0.0253160i | ||||
\(568\) | 14.3473 | + | 29.7925i | 0.602000 | + | 1.25007i | ||||
\(569\) | 16.3771 | + | 20.5362i | 0.686562 | + | 0.860922i | 0.995940 | − | 0.0900173i | \(-0.0286922\pi\) |
−0.309378 | + | 0.950939i | \(0.600121\pi\) | |||||||
\(570\) | −7.91409 | + | 3.81122i | −0.331485 | + | 0.159635i | ||||
\(571\) | 37.0039 | + | 8.44590i | 1.54857 | + | 0.353450i | 0.909501 | − | 0.415703i | \(-0.136464\pi\) |
0.639065 | + | 0.769153i | \(0.279321\pi\) | |||||||
\(572\) | −5.12297 | − | 4.08543i | −0.214202 | − | 0.170820i | ||||
\(573\) | −16.8961 | − | 3.85642i | −0.705844 | − | 0.161104i | ||||
\(574\) | 37.0184 | + | 17.8271i | 1.54512 | + | 0.744090i | ||||
\(575\) | 1.17460 | − | 0.936715i | 0.0489843 | − | 0.0390637i | ||||
\(576\) | −15.3652 | − | 19.2674i | −0.640217 | − | 0.802807i | ||||
\(577\) | 8.19942 | + | 35.9240i | 0.341346 | + | 1.49554i | 0.796235 | + | 0.604987i | \(0.206822\pi\) |
−0.454889 | + | 0.890548i | \(0.650321\pi\) | |||||||
\(578\) | 38.2751 | + | 1.29594i | 1.59204 | + | 0.0539041i | ||||
\(579\) | −0.960595 | + | 0.462598i | −0.0399210 | + | 0.0192249i | ||||
\(580\) | −5.49495 | − | 24.0749i | −0.228165 | − | 0.999657i | ||||
\(581\) | −39.8756 | + | 9.10133i | −1.65432 | + | 0.377587i | ||||
\(582\) | −25.0334 | + | 12.0555i | −1.03767 | + | 0.499715i | ||||
\(583\) | −3.28021 | + | 6.81142i | −0.135852 | + | 0.282100i | ||||
\(584\) | 21.0553 | − | 4.80573i | 0.871273 | − | 0.198862i | ||||
\(585\) | 11.9916 | − | 9.56302i | 0.495794 | − | 0.395382i | ||||
\(586\) | −38.2283 | − | 47.9367i | −1.57919 | − | 1.98025i | ||||
\(587\) | 17.4068 | + | 8.38269i | 0.718457 | + | 0.345991i | 0.757133 | − | 0.653261i | \(-0.226600\pi\) |
−0.0386756 | + | 0.999252i | \(0.512314\pi\) | |||||||
\(588\) | 31.4262 | + | 7.17282i | 1.29599 | + | 0.295802i | ||||
\(589\) | 9.74611 | + | 7.77226i | 0.401581 | + | 0.320250i | ||||
\(590\) | −58.8396 | − | 13.4298i | −2.42239 | − | 0.552894i | ||||
\(591\) | −10.2129 | + | 4.91827i | −0.420102 | + | 0.202311i | ||||
\(592\) | −0.280665 | + | 0.223823i | −0.0115353 | + | 0.00919907i | ||||
\(593\) | 40.6768 | − | 19.5889i | 1.67040 | − | 0.804420i | 0.672465 | − | 0.740129i | \(-0.265236\pi\) |
0.997931 | − | 0.0642916i | \(-0.0204788\pi\) | |||||||
\(594\) | 3.94754 | − | 4.95006i | 0.161969 | − | 0.203103i | ||||
\(595\) | 7.26562 | + | 34.5150i | 0.297861 | + | 1.41498i | ||||
\(596\) | 24.7581 | 1.01413 | ||||||||
\(597\) | 1.62376 | − | 2.03614i | 0.0664562 | − | 0.0833335i | ||||
\(598\) | −8.42189 | + | 17.4882i | −0.344397 | + | 0.715147i | ||||
\(599\) | 10.1721 | + | 44.5671i | 0.415623 | + | 1.82096i | 0.556392 | + | 0.830920i | \(0.312185\pi\) |
−0.140769 | + | 0.990042i | \(0.544958\pi\) | |||||||
\(600\) | −1.69545 | − | 0.386975i | −0.0692163 | − | 0.0157982i | ||||
\(601\) | 9.52838i | 0.388671i | 0.980935 | + | 0.194335i | \(0.0622550\pi\) | ||||
−0.980935 | + | 0.194335i | \(0.937745\pi\) | |||||||
\(602\) | 45.4748 | + | 40.3715i | 1.85342 | + | 1.64542i | ||||
\(603\) | −18.3791 | −0.748453 | ||||||||
\(604\) | −6.27135 | + | 27.4766i | −0.255177 | + | 1.11801i | ||||
\(605\) | −21.6839 | + | 4.94921i | −0.881576 | + | 0.201214i | ||||
\(606\) | 1.55710 | − | 3.23335i | 0.0632529 | − | 0.131346i | ||||
\(607\) | −30.3093 | − | 24.1708i | −1.23022 | − | 0.981064i | −0.999969 | − | 0.00793183i | \(-0.997475\pi\) |
−0.230247 | − | 0.973132i | \(-0.573953\pi\) | |||||||
\(608\) | −11.4062 | −0.462583 | ||||||||
\(609\) | − | 16.7675i | − | 0.679451i | ||||||
\(610\) | 21.0662 | − | 26.4161i | 0.852944 | − | 1.06956i | ||||
\(611\) | −31.0535 | + | 14.9546i | −1.25629 | + | 0.604998i | ||||
\(612\) | −15.2465 | + | 18.4685i | −0.616302 | + | 0.746544i | ||||
\(613\) | −14.3922 | + | 6.93093i | −0.581296 | + | 0.279938i | −0.701335 | − | 0.712832i | \(-0.747412\pi\) |
0.120039 | + | 0.992769i | \(0.461698\pi\) | |||||||
\(614\) | −3.72026 | + | 16.2995i | −0.150137 | + | 0.657795i | ||||
\(615\) | 7.58804 | + | 6.05126i | 0.305979 | + | 0.244010i | ||||
\(616\) | −1.20976 | + | 5.30032i | −0.0487428 | + | 0.213556i | ||||
\(617\) | −20.4576 | + | 42.4806i | −0.823591 | + | 1.71020i | −0.127990 | + | 0.991775i | \(0.540853\pi\) |
−0.695601 | + | 0.718428i | \(0.744862\pi\) | |||||||
\(618\) | −4.17150 | + | 3.32666i | −0.167802 | + | 0.133818i | ||||
\(619\) | −12.2738 | + | 9.78806i | −0.493327 | + | 0.393415i | −0.838310 | − | 0.545194i | \(-0.816456\pi\) |
0.344983 | + | 0.938609i | \(0.387885\pi\) | |||||||
\(620\) | −9.95816 | − | 43.6295i | −0.399929 | − | 1.75220i | ||||
\(621\) | −10.2386 | − | 4.93066i | −0.410862 | − | 0.197861i | ||||
\(622\) | −14.0872 | − | 29.2524i | −0.564845 | − | 1.17291i | ||||
\(623\) | −69.8346 | + | 15.9393i | −2.79786 | + | 0.638594i | ||||
\(624\) | −2.78866 | + | 0.636493i | −0.111636 | + | 0.0254801i | ||||
\(625\) | 19.0369 | − | 9.16771i | 0.761478 | − | 0.366708i | ||||
\(626\) | 11.6354 | − | 24.1613i | 0.465046 | − | 0.965678i | ||||
\(627\) | −0.227701 | − | 0.997622i | −0.00909349 | − | 0.0398412i | ||||
\(628\) | −25.4350 | − | 31.8945i | −1.01497 | − | 1.27273i | ||||
\(629\) | 1.64349 | + | 1.35677i | 0.0655304 | + | 0.0540980i | ||||
\(630\) | −32.7976 | − | 15.7945i | −1.30669 | − | 0.629268i | ||||
\(631\) | −6.11817 | + | 26.8055i | −0.243561 | + | 1.06711i | 0.694188 | + | 0.719794i | \(0.255764\pi\) |
−0.937749 | + | 0.347315i | \(0.887094\pi\) | |||||||
\(632\) | −5.28478 | − | 4.21447i | −0.210217 | − | 0.167643i | ||||
\(633\) | −0.945720 | + | 4.14347i | −0.0375890 | + | 0.164688i | ||||
\(634\) | −4.88321 | − | 10.1401i | −0.193937 | − | 0.402715i | ||||
\(635\) | −9.25489 | + | 7.38053i | −0.367269 | + | 0.292887i | ||||
\(636\) | −19.4946 | − | 40.4810i | −0.773012 | − | 1.60518i | ||||
\(637\) | −24.2276 | + | 30.3804i | −0.959932 | + | 1.20372i | ||||
\(638\) | 4.74775 | 0.187965 | ||||||||
\(639\) | − | 25.7930i | − | 1.02036i | ||||||
\(640\) | 26.9302 | + | 21.4761i | 1.06451 | + | 0.848919i | ||||
\(641\) | 18.4158 | − | 38.2407i | 0.727379 | − | 1.51042i | −0.127640 | − | 0.991821i | \(-0.540740\pi\) |
0.855019 | − | 0.518597i | \(-0.173546\pi\) | |||||||
\(642\) | −3.26869 | − | 14.3211i | −0.129005 | − | 0.565207i | ||||
\(643\) | 17.4597 | + | 3.98507i | 0.688544 | + | 0.157156i | 0.552457 | − | 0.833541i | \(-0.313690\pi\) |
0.136087 | + | 0.990697i | \(0.456547\pi\) | |||||||
\(644\) | 27.9132 | 1.09994 | ||||||||
\(645\) | 8.35050 | + | 11.6876i | 0.328800 | + | 0.460198i | ||||
\(646\) | 3.40579 | + | 16.1791i | 0.133999 | + | 0.636556i | ||||
\(647\) | 5.57987 | − | 24.4470i | 0.219367 | − | 0.961111i | −0.738580 | − | 0.674166i | \(-0.764503\pi\) |
0.957947 | − | 0.286945i | \(-0.0926397\pi\) | |||||||
\(648\) | −0.126566 | − | 0.554523i | −0.00497199 | − | 0.0217837i | ||||
\(649\) | 3.05052 | − | 6.33446i | 0.119743 | − | 0.248649i | ||||
\(650\) | 3.73894 | − | 4.68848i | 0.146653 | − | 0.183897i | ||||
\(651\) | − | 30.3866i | − | 1.19095i | ||||||
\(652\) | 61.2978i | 2.40061i | ||||||||
\(653\) | −7.03187 | − | 5.60773i | −0.275178 | − | 0.219447i | 0.476170 | − | 0.879353i | \(-0.342025\pi\) |
−0.751348 | + | 0.659906i | \(0.770596\pi\) | |||||||
\(654\) | −5.60006 | + | 2.69684i | −0.218980 | + | 0.105455i | ||||
\(655\) | −24.1233 | − | 30.2497i | −0.942575 | − | 1.18195i | ||||
\(656\) | 1.33513 | + | 2.77243i | 0.0521281 | + | 0.108245i | ||||
\(657\) | −16.4235 | − | 3.74856i | −0.640742 | − | 0.146245i | ||||
\(658\) | 63.9560 | + | 51.0032i | 2.49327 | + | 1.98831i | ||||
\(659\) | −0.252658 | + | 1.10697i | −0.00984218 | + | 0.0431214i | −0.979611 | − | 0.200906i | \(-0.935611\pi\) |
0.969768 | + | 0.244027i | \(0.0784686\pi\) | |||||||
\(660\) | −1.59389 | + | 3.30974i | −0.0620419 | + | 0.128831i | ||||
\(661\) | 2.58961 | + | 3.24727i | 0.100724 | + | 0.126304i | 0.829639 | − | 0.558300i | \(-0.188546\pi\) |
−0.728915 | + | 0.684605i | \(0.759975\pi\) | |||||||
\(662\) | 8.83231 | + | 11.0754i | 0.343278 | + | 0.430457i | ||||
\(663\) | 7.10787 | + | 15.4219i | 0.276047 | + | 0.598939i | ||||
\(664\) | 21.6787 | + | 10.4399i | 0.841297 | + | 0.405147i | ||||
\(665\) | −13.7194 | + | 6.60693i | −0.532017 | + | 0.256206i | ||||
\(666\) | −2.14437 | + | 0.489439i | −0.0830927 | + | 0.0189654i | ||||
\(667\) | −1.89624 | − | 8.30798i | −0.0734228 | − | 0.321686i | ||||
\(668\) | 0.623923 | + | 1.29559i | 0.0241403 | + | 0.0501278i | ||||
\(669\) | −3.84517 | + | 7.98458i | −0.148663 | + | 0.308702i | ||||
\(670\) | 44.4092 | − | 10.1361i | 1.71568 | − | 0.391592i | ||||
\(671\) | 2.45408 | + | 3.07731i | 0.0947386 | + | 0.118798i | ||||
\(672\) | 17.3355 | + | 21.7380i | 0.668730 | + | 0.838561i | ||||
\(673\) | 16.5465 | − | 34.3591i | 0.637819 | − | 1.32444i | −0.291997 | − | 0.956419i | \(-0.594320\pi\) |
0.929816 | − | 0.368025i | \(-0.119966\pi\) | |||||||
\(674\) | 55.9166 | + | 12.7626i | 2.15383 | + | 0.491597i | ||||
\(675\) | 2.74491 | + | 2.18899i | 0.105652 | + | 0.0842543i | ||||
\(676\) | −1.55094 | + | 6.79509i | −0.0596513 | + | 0.261350i | ||||
\(677\) | −8.60398 | − | 17.8663i | −0.330678 | − | 0.686659i | 0.667650 | − | 0.744476i | \(-0.267300\pi\) |
−0.998327 | + | 0.0578164i | \(0.981586\pi\) | |||||||
\(678\) | −15.3348 | − | 19.2292i | −0.588928 | − | 0.738492i | ||||
\(679\) | −43.3966 | + | 20.8987i | −1.66541 | + | 0.802018i | ||||
\(680\) | 9.31805 | − | 18.5399i | 0.357331 | − | 0.710971i | ||||
\(681\) | −4.50976 | −0.172815 | ||||||||
\(682\) | 8.60406 | 0.329467 | ||||||||
\(683\) | −2.17767 | − | 1.73664i | −0.0833264 | − | 0.0664506i | 0.580941 | − | 0.813946i | \(-0.302685\pi\) |
−0.664267 | + | 0.747495i | \(0.731256\pi\) | |||||||
\(684\) | −9.31525 | − | 4.48599i | −0.356177 | − | 0.171526i | ||||
\(685\) | −33.1379 | + | 7.56352i | −1.26614 | + | 0.288987i | ||||
\(686\) | 26.6263 | + | 6.07728i | 1.01660 | + | 0.232032i | ||||
\(687\) | 5.24419i | 0.200078i | ||||||||
\(688\) | 0.777573 | + | 4.48736i | 0.0296447 | + | 0.171079i | ||||
\(689\) | 54.1630 | 2.06345 | ||||||||
\(690\) | 10.6092 | + | 2.42149i | 0.403886 | + | 0.0921845i | ||||
\(691\) | −27.3653 | + | 6.24594i | −1.04102 | + | 0.237607i | −0.708664 | − | 0.705546i | \(-0.750702\pi\) |
−0.332359 | + | 0.943153i | \(0.607845\pi\) | |||||||
\(692\) | 4.72513 | − | 9.81183i | 0.179622 | − | 0.372990i | ||||
\(693\) | 2.64402 | − | 3.31549i | 0.100438 | − | 0.125945i | ||||
\(694\) | 2.80066i | 0.106312i | ||||||||
\(695\) | 39.8890 | 1.51307 | ||||||||
\(696\) | −6.15015 | + | 7.71205i | −0.233121 | + | 0.292324i | ||||
\(697\) | 14.4733 | − | 11.1467i | 0.548215 | − | 0.422210i | ||||
\(698\) | −13.5534 | − | 16.9955i | −0.513005 | − | 0.643288i | ||||
\(699\) | 18.0310 | − | 8.68327i | 0.681995 | − | 0.328431i | ||||
\(700\) | −8.40747 | − | 1.91895i | −0.317772 | − | 0.0725295i | ||||
\(701\) | 11.7455 | − | 14.7284i | 0.443622 | − | 0.556284i | −0.508872 | − | 0.860842i | \(-0.669937\pi\) |
0.952494 | + | 0.304558i | \(0.0985087\pi\) | |||||||
\(702\) | −44.2227 | − | 10.0935i | −1.66908 | − | 0.380956i | ||||
\(703\) | −0.399204 | + | 0.828956i | −0.0150563 | + | 0.0312647i | ||||
\(704\) | −5.56291 | + | 4.43627i | −0.209660 | + | 0.167198i | ||||
\(705\) | 12.0478 | + | 15.1074i | 0.453745 | + | 0.568978i | ||||
\(706\) | −8.42712 | − | 36.9216i | −0.317159 | − | 1.38956i | ||||
\(707\) | 2.69931 | − | 5.60517i | 0.101518 | − | 0.210804i | ||||
\(708\) | 18.1296 | + | 37.6464i | 0.681351 | + | 1.41484i | ||||
\(709\) | 22.0706 | − | 5.03747i | 0.828879 | − | 0.189186i | 0.213025 | − | 0.977047i | \(-0.431668\pi\) |
0.615854 | + | 0.787861i | \(0.288811\pi\) | |||||||
\(710\) | 14.2249 | + | 62.3235i | 0.533853 | + | 2.33896i | ||||
\(711\) | 2.28766 | + | 4.75038i | 0.0857941 | + | 0.178153i | ||||
\(712\) | 37.9662 | + | 18.2836i | 1.42284 | + | 0.685206i | ||||
\(713\) | −3.43644 | − | 15.0560i | −0.128696 | − | 0.563853i | ||||
\(714\) | 25.6579 | − | 31.0801i | 0.960222 | − | 1.16314i | ||||
\(715\) | −2.76105 | − | 3.46225i | −0.103257 | − | 0.129481i | ||||
\(716\) | 1.71526 | + | 0.826024i | 0.0641022 | + | 0.0308700i | ||||
\(717\) | −9.72103 | − | 2.21876i | −0.363038 | − | 0.0828612i | ||||
\(718\) | 36.8227 | − | 46.1742i | 1.37421 | − | 1.72321i | ||||
\(719\) | 29.8452 | + | 6.81198i | 1.11304 | + | 0.254044i | 0.739224 | − | 0.673459i | \(-0.235192\pi\) |
0.373815 | + | 0.927503i | \(0.378049\pi\) | |||||||
\(720\) | −1.18290 | − | 2.45632i | −0.0440841 | − | 0.0915416i | ||||
\(721\) | −7.23149 | + | 5.76692i | −0.269315 | + | 0.214771i | ||||
\(722\) | 32.1328 | − | 15.4743i | 1.19586 | − | 0.575895i | ||||
\(723\) | 6.19700 | − | 7.77079i | 0.230469 | − | 0.288999i | ||||
\(724\) | − | 47.3202i | − | 1.75864i | ||||||
\(725\) | 2.63273i | 0.0977770i | ||||||||
\(726\) | 19.8695 | + | 15.8454i | 0.737427 | + | 0.588079i | ||||
\(727\) | −43.5717 | − | 20.9830i | −1.61598 | − | 0.778217i | −0.616029 | − | 0.787723i | \(-0.711260\pi\) |
−0.999955 | + | 0.00950657i | \(0.996974\pi\) | |||||||
\(728\) | 37.9733 | − | 8.66715i | 1.40738 | − | 0.321226i | ||||
\(729\) | 3.52743 | − | 15.4547i | 0.130646 | − | 0.572395i | ||||
\(730\) | 41.7514 | 1.54529 | ||||||||
\(731\) | 25.1178 | − | 10.0048i | 0.929015 | − | 0.370041i | ||||
\(732\) | −23.3923 | −0.864604 | ||||||||
\(733\) | −9.77914 | + | 42.8452i | −0.361201 | + | 1.58252i | 0.388951 | + | 0.921258i | \(0.372837\pi\) |
−0.750152 | + | 0.661265i | \(0.770020\pi\) | |||||||
\(734\) | −32.3707 | + | 7.38841i | −1.19483 | + | 0.272711i | ||||
\(735\) | 19.6275 | + | 9.45213i | 0.723973 | + | 0.348647i | ||||
\(736\) | 11.0478 | + | 8.81032i | 0.407227 | + | 0.324753i | ||||
\(737\) | 5.30644i | 0.195465i | ||||||||
\(738\) | 18.8540i | 0.694024i | ||||||||
\(739\) | −4.97149 | + | 6.23406i | −0.182879 | + | 0.229323i | −0.864817 | − | 0.502086i | \(-0.832566\pi\) |
0.681938 | + | 0.731410i | \(0.261137\pi\) | |||||||
\(740\) | 2.97592 | − | 1.43313i | 0.109397 | − | 0.0526829i | ||||
\(741\) | −5.73168 | + | 4.57086i | −0.210559 | + | 0.167915i | ||||
\(742\) | −55.7755 | − | 115.819i | −2.04758 | − | 4.25185i | ||||
\(743\) | −22.6968 | − | 5.18040i | −0.832665 | − | 0.190050i | −0.215122 | − | 0.976587i | \(-0.569015\pi\) |
−0.617543 | + | 0.786537i | \(0.711872\pi\) | |||||||
\(744\) | −11.1455 | + | 13.9761i | −0.408616 | + | 0.512388i | ||||
\(745\) | 16.3128 | + | 3.72328i | 0.597653 | + | 0.136410i | ||||
\(746\) | 6.73867 | + | 3.24517i | 0.246720 | + | 0.118814i | ||||
\(747\) | −11.7020 | − | 14.6738i | −0.428152 | − | 0.536886i | ||||
\(748\) | 5.33225 | + | 4.40199i | 0.194966 | + | 0.160953i | ||||
\(749\) | −5.66643 | − | 24.8262i | −0.207047 | − | 0.907131i | ||||
\(750\) | −25.2592 | − | 12.1642i | −0.922337 | − | 0.444174i | ||||
\(751\) | −8.63349 | − | 17.9276i | −0.315041 | − | 0.654189i | 0.681976 | − | 0.731374i | \(-0.261121\pi\) |
−0.997017 | + | 0.0771859i | \(0.975407\pi\) | |||||||
\(752\) | 1.36327 | + | 5.97287i | 0.0497133 | + | 0.217808i | ||||
\(753\) | 28.9378 | − | 6.60487i | 1.05455 | − | 0.240695i | ||||
\(754\) | −14.7583 | − | 30.6460i | −0.537466 | − | 1.11606i | ||||
\(755\) | −8.26418 | + | 17.1608i | −0.300764 | + | 0.624544i | ||||
\(756\) | 14.5150 | + | 63.5944i | 0.527906 | + | 2.31291i | ||||
\(757\) | −31.0624 | − | 38.9510i | −1.12898 | − | 1.41570i | −0.896471 | − | 0.443102i | \(-0.853878\pi\) |
−0.232509 | − | 0.972594i | \(-0.574694\pi\) | |||||||
\(758\) | −42.8791 | + | 34.1949i | −1.55744 | + | 1.24201i | ||||
\(759\) | −0.550031 | + | 1.14215i | −0.0199649 | + | 0.0414575i | ||||
\(760\) | 8.73350 | + | 1.99337i | 0.316797 | + | 0.0723070i | ||||
\(761\) | 26.9802 | − | 33.8320i | 0.978030 | − | 1.22641i | 0.00399973 | − | 0.999992i | \(-0.498727\pi\) |
0.974030 | − | 0.226419i | \(-0.0727017\pi\) | |||||||
\(762\) | 13.1868 | + | 3.00981i | 0.477708 | + | 0.109034i | ||||
\(763\) | −9.70796 | + | 4.67511i | −0.351452 | + | 0.169250i | ||||
\(764\) | 31.5220 | + | 39.5273i | 1.14042 | + | 1.43005i | ||||
\(765\) | −12.8231 | + | 9.87574i | −0.463619 | + | 0.357058i | ||||
\(766\) | −21.4572 | + | 26.9065i | −0.775280 | + | 0.972171i | ||||
\(767\) | −50.3704 | −1.81877 | ||||||||
\(768\) | − | 11.8545i | − | 0.427764i | ||||||
\(769\) | −5.69917 | + | 7.14654i | −0.205517 | + | 0.257711i | −0.873899 | − | 0.486108i | \(-0.838416\pi\) |
0.668381 | + | 0.743819i | \(0.266988\pi\) | |||||||
\(770\) | −4.56022 | + | 9.46939i | −0.164339 | + | 0.341253i | ||||
\(771\) | −8.33897 | + | 1.90332i | −0.300321 | + | 0.0685463i | ||||
\(772\) | 3.03231 | + | 0.692105i | 0.109135 | + | 0.0249094i | ||||
\(773\) | 31.3486 | 1.12753 | 0.563765 | − | 0.825935i | \(-0.309352\pi\) | ||||
0.563765 | + | 0.825935i | \(0.309352\pi\) | |||||||
\(774\) | −7.63692 | + | 26.8387i | −0.274503 | + | 0.964696i | ||||
\(775\) | 4.77113i | 0.171384i | ||||||||
\(776\) | 27.6253 | + | 6.30530i | 0.991692 | + | 0.226347i | ||||
\(777\) | 2.18655 | − | 0.499065i | 0.0784419 | − | 0.0179039i | ||||
\(778\) | −34.3412 | − | 16.5379i | −1.23119 | − | 0.592911i | ||||
\(779\) | 6.16609 | + | 4.91729i | 0.220923 | + | 0.176180i | ||||
\(780\) | 26.3184 | 0.942349 | ||||||||
\(781\) | −7.44701 | −0.266475 | ||||||||
\(782\) | 9.19815 | − | 18.3013i | 0.328925 | − | 0.654454i | ||||
\(783\) | 17.9419 | − | 8.64038i | 0.641192 | − | 0.308782i | ||||
\(784\) | 4.30645 | + | 5.40012i | 0.153802 | + | 0.192861i | ||||
\(785\) | −11.9622 | − | 24.8399i | −0.426951 | − | 0.886573i | ||||
\(786\) | −9.83756 | + | 43.1012i | −0.350894 | + | 1.53737i | ||||
\(787\) | 8.47851 | + | 6.76138i | 0.302226 | + | 0.241017i | 0.762846 | − | 0.646580i | \(-0.223801\pi\) |
−0.460620 | + | 0.887597i | \(0.652373\pi\) | |||||||
\(788\) | 32.2390 | + | 7.35835i | 1.14847 | + | 0.262130i | ||||
\(789\) | −6.85915 | + | 14.2432i | −0.244192 | + | 0.507070i | ||||
\(790\) | −8.14751 | − | 10.2167i | −0.289876 | − | 0.363492i | ||||
\(791\) | −26.5835 | − | 33.3347i | −0.945201 | − | 1.18524i | ||||
\(792\) | −2.43219 | + | 0.555131i | −0.0864240 | + | 0.0197257i | ||||
\(793\) | 12.2351 | − | 25.4064i | 0.434481 | − | 0.902209i | ||||
\(794\) | 9.06535 | + | 18.8244i | 0.321717 | + | 0.668053i | ||||
\(795\) | −6.75693 | − | 29.6040i | −0.239644 | − | 1.04995i | ||||
\(796\) | −7.40690 | + | 1.69058i | −0.262531 | + | 0.0599209i | ||||
\(797\) | −1.97243 | + | 0.949872i | −0.0698671 | + | 0.0336462i | −0.468491 | − | 0.883468i | \(-0.655202\pi\) |
0.398624 | + | 0.917114i | \(0.369488\pi\) | |||||||
\(798\) | 15.6764 | + | 7.54934i | 0.554938 | + | 0.267244i | ||||
\(799\) | 33.0314 | − | 15.2240i | 1.16857 | − | 0.538585i | ||||
\(800\) | −2.72191 | − | 3.41317i | −0.0962341 | − | 0.120674i | ||||
\(801\) | −20.4938 | − | 25.6984i | −0.724112 | − | 0.908008i | ||||
\(802\) | 4.44239 | − | 9.22471i | 0.156866 | − | 0.325736i | ||||
\(803\) | −1.08229 | + | 4.74183i | −0.0381932 | + | 0.167335i | ||||
\(804\) | −24.6564 | − | 19.6628i | −0.869565 | − | 0.693455i | ||||
\(805\) | 18.3916 | + | 4.19776i | 0.648219 | + | 0.147952i | ||||
\(806\) | −26.7456 | − | 55.5378i | −0.942074 | − | 1.95624i | ||||
\(807\) | −5.79207 | − | 7.26302i | −0.203890 | − | 0.255671i | ||||
\(808\) | −3.29745 | + | 1.58797i | −0.116004 | + | 0.0558645i | ||||
\(809\) | −31.6865 | − | 25.2692i | −1.11404 | − | 0.888416i | −0.119505 | − | 0.992834i | \(-0.538131\pi\) |
−0.994534 | + | 0.104417i | \(0.966702\pi\) | |||||||
\(810\) | − | 1.09959i | − | 0.0386355i | ||||||
\(811\) | − | 19.2175i | − | 0.674817i | −0.941358 | − | 0.337408i | \(-0.890450\pi\) | ||
0.941358 | − | 0.337408i | \(-0.109550\pi\) | |||||||
\(812\) | −30.4977 | + | 38.2429i | −1.07026 | + | 1.34206i | ||||
\(813\) | −6.24095 | + | 12.9595i | −0.218880 | + | 0.454508i | ||||
\(814\) | 0.141312 | + | 0.619127i | 0.00495297 | + | 0.0217004i | ||||
\(815\) | −9.21834 | + | 40.3882i | −0.322904 | + | 1.41474i | ||||
\(816\) | 2.95366 | − | 0.621762i | 0.103399 | − | 0.0217660i | ||||
\(817\) | 6.78567 | + | 9.49740i | 0.237400 | + | 0.332272i | ||||
\(818\) | 7.72857 | 0.270223 | ||||||||
\(819\) | −29.6199 | − | 6.76054i | −1.03500 | − | 0.236232i | ||||
\(820\) | −6.30025 | − | 27.6032i | −0.220014 | − | 0.963946i | ||||
\(821\) | −14.6981 | + | 30.5208i | −0.512966 | + | 1.06518i | 0.470216 | + | 0.882552i | \(0.344176\pi\) |
−0.983181 | + | 0.182633i | \(0.941538\pi\) | |||||||
\(822\) | 30.3652 | + | 24.2154i | 1.05911 | + | 0.844609i | ||||
\(823\) | − | 30.1499i | − | 1.05096i | −0.850806 | − | 0.525480i | \(-0.823886\pi\) | ||
0.850806 | − | 0.525480i | \(-0.176114\pi\) | |||||||
\(824\) | 5.44132 | 0.189557 | ||||||||
\(825\) | 0.244189 | − | 0.306203i | 0.00850157 | − | 0.0106606i | ||||
\(826\) | 51.8699 | + | 107.709i | 1.80479 | + | 3.74768i | ||||
\(827\) | 43.1977 | − | 34.4490i | 1.50213 | − | 1.19791i | 0.577880 | − | 0.816122i | \(-0.303880\pi\) |
0.924250 | − | 0.381787i | \(-0.124691\pi\) | |||||||
\(828\) | 5.55748 | + | 11.5402i | 0.193136 | + | 0.401051i | ||||
\(829\) | 6.27400 | − | 27.4882i | 0.217905 | − | 0.954704i | −0.741118 | − | 0.671375i | \(-0.765704\pi\) |
0.959023 | − | 0.283329i | \(-0.0914388\pi\) | |||||||
\(830\) | 36.3680 | + | 29.0025i | 1.26235 | + | 1.00669i | ||||
\(831\) | 5.50552 | − | 24.1213i | 0.190984 | − | 0.836758i | ||||
\(832\) | 45.9276 | + | 22.1176i | 1.59225 | + | 0.766789i | ||||
\(833\) | 26.1048 | − | 31.6215i | 0.904479 | − | 1.09562i | ||||
\(834\) | −28.4179 | − | 35.6349i | −0.984030 | − | 1.23393i | ||||
\(835\) | 0.216254 | + | 0.947472i | 0.00748379 | + | 0.0327886i | ||||
\(836\) | −1.29520 | + | 2.68951i | −0.0447955 | + | 0.0930188i | ||||
\(837\) | 32.5151 | − | 15.6584i | 1.12388 | − | 0.541234i | ||||
\(838\) | 47.9530 | − | 10.9450i | 1.65651 | − | 0.378087i | ||||
\(839\) | −28.5062 | + | 6.50635i | −0.984143 | + | 0.224624i | −0.684169 | − | 0.729323i | \(-0.739835\pi\) |
−0.299974 | + | 0.953948i | \(0.596978\pi\) | |||||||
\(840\) | −9.47445 | − | 19.6739i | −0.326900 | − | 0.678814i | ||||
\(841\) | −12.6738 | − | 6.10339i | −0.437029 | − | 0.210462i | ||||
\(842\) | 3.28218 | + | 14.3802i | 0.113111 | + | 0.495574i | ||||
\(843\) | −9.09172 | + | 7.25041i | −0.313136 | + | 0.249717i | ||||
\(844\) | 9.69338 | − | 7.73021i | 0.333660 | − | 0.266085i | ||||
\(845\) | −2.04377 | + | 4.24394i | −0.0703080 | + | 0.145996i | ||||
\(846\) | −8.35284 | + | 36.5962i | −0.287176 | + | 1.25820i | ||||
\(847\) | 34.4448 | + | 27.4688i | 1.18354 | + | 0.943838i | ||||
\(848\) | 2.14232 | − | 9.38610i | 0.0735674 | − | 0.322320i | ||||
\(849\) | −7.48096 | + | 3.60264i | −0.256746 | + | 0.123642i | ||||
\(850\) | −4.02865 | + | 4.88001i | −0.138181 | + | 0.167383i | ||||
\(851\) | 1.02696 | − | 0.494556i | 0.0352036 | − | 0.0169532i | ||||
\(852\) | 27.5947 | − | 34.6026i | 0.945379 | − | 1.18547i | ||||
\(853\) | 57.4091i | 1.96565i | 0.184537 | + | 0.982826i | \(0.440921\pi\) | ||||
−0.184537 | + | 0.982826i | \(0.559079\pi\) | |||||||
\(854\) | −66.9269 | −2.29019 | ||||||||
\(855\) | −5.46304 | − | 4.35663i | −0.186832 | − | 0.148994i | ||||
\(856\) | −6.49982 | + | 13.4970i | −0.222159 | + | 0.461318i | ||||
\(857\) | −2.47562 | + | 0.565043i | −0.0845654 | + | 0.0193015i | −0.264594 | − | 0.964360i | \(-0.585238\pi\) |
0.180029 | + | 0.983661i | \(0.442381\pi\) | |||||||
\(858\) | −1.12597 | + | 4.93318i | −0.0384399 | + | 0.168416i | ||||
\(859\) | −8.75237 | −0.298627 | −0.149314 | − | 0.988790i | \(-0.547706\pi\) | ||||
−0.149314 | + | 0.988790i | \(0.547706\pi\) | |||||||
\(860\) | 2.21243 | − | 41.8452i | 0.0754431 | − | 1.42691i | ||||
\(861\) | − | 19.2248i | − | 0.655179i | ||||||
\(862\) | 69.1501 | + | 15.7831i | 2.35526 | + | 0.537573i | ||||
\(863\) | 7.29350 | + | 31.9549i | 0.248274 | + | 1.08776i | 0.933260 | + | 0.359202i | \(0.116951\pi\) |
−0.684986 | + | 0.728556i | \(0.740192\pi\) | |||||||
\(864\) | −14.3275 | + | 29.7515i | −0.487433 | + | 1.01217i | ||||
\(865\) | 4.58888 | − | 5.75427i | 0.156026 | − | 0.195651i | ||||
\(866\) | −25.8853 | −0.879617 | ||||||||
\(867\) | −7.22408 | − | 16.3985i | −0.245343 | − | 0.556922i | ||||
\(868\) | −55.2691 | + | 69.3053i | −1.87596 | + | 2.35237i | ||||
\(869\) | 1.37154 | − | 0.660498i | 0.0465263 | − | 0.0224059i | ||||
\(870\) | −14.9091 | + | 11.8896i | −0.505466 | + | 0.403096i | ||||
\(871\) | 34.2522 | − | 16.4950i | 1.16059 | − | 0.558911i | ||||
\(872\) | 6.17988 | + | 1.41052i | 0.209277 | + | 0.0477662i | ||||
\(873\) | −17.2804 | − | 13.7807i | −0.584853 | − | 0.466405i | ||||
\(874\) | 8.62113 | + | 1.96772i | 0.291614 | + | 0.0665590i | ||||
\(875\) | −43.7881 | − | 21.0872i | −1.48031 | − | 0.712878i | ||||
\(876\) | −18.0226 | − | 22.5996i | −0.608926 | − | 0.763569i | ||||
\(877\) | −21.6411 | + | 17.2582i | −0.730767 | + | 0.582767i | −0.916596 | − | 0.399815i | \(-0.869074\pi\) |
0.185829 | + | 0.982582i | \(0.440503\pi\) | |||||||
\(878\) | −59.0495 | + | 13.4777i | −1.99282 | + | 0.454849i | ||||
\(879\) | −12.4475 | + | 25.8475i | −0.419844 | + | 0.871814i | ||||
\(880\) | −0.709193 | + | 0.341529i | −0.0239069 | + | 0.0115130i | ||||
\(881\) | 14.9307 | − | 3.40784i | 0.503028 | − | 0.114813i | 0.0365257 | − | 0.999333i | \(-0.488371\pi\) |
0.466503 | + | 0.884520i | \(0.345514\pi\) | |||||||
\(882\) | 9.41702 | + | 41.2586i | 0.317087 | + | 1.38925i | ||||
\(883\) | −3.51493 | + | 1.69270i | −0.118287 | + | 0.0569640i | −0.492091 | − | 0.870544i | \(-0.663767\pi\) |
0.373804 | + | 0.927508i | \(0.378053\pi\) | |||||||
\(884\) | 11.8389 | − | 48.1023i | 0.398185 | − | 1.61786i | ||||
\(885\) | 6.28379 | + | 27.5311i | 0.211227 | + | 0.925447i | ||||
\(886\) | 19.9901 | + | 25.0668i | 0.671582 | + | 0.842137i | ||||
\(887\) | 12.0248 | − | 9.58949i | 0.403754 | − | 0.321983i | −0.400469 | − | 0.916310i | \(-0.631153\pi\) |
0.804224 | + | 0.594327i | \(0.202581\pi\) | |||||||
\(888\) | −1.18874 | − | 0.572465i | −0.0398914 | − | 0.0192107i | ||||
\(889\) | 22.8600 | + | 5.21764i | 0.766699 | + | 0.174994i | ||||
\(890\) | 63.6917 | + | 50.7924i | 2.13495 | + | 1.70257i | ||||
\(891\) | 0.124883 | + | 0.0285038i | 0.00418375 | + | 0.000954913i | ||||
\(892\) | 23.2928 | − | 11.2172i | 0.779902 | − | 0.375581i | ||||
\(893\) | 9.79008 | + | 12.2764i | 0.327613 | + | 0.410813i | ||||
\(894\) | −8.29541 | − | 17.2256i | −0.277440 | − | 0.576110i | ||||
\(895\) | 1.00593 | + | 0.802205i | 0.0336246 | + | 0.0268148i | ||||
\(896\) | − | 68.2295i | − | 2.27939i | ||||||
\(897\) | 9.08216 | 0.303245 | ||||||||
\(898\) | 47.0589 | + | 37.5283i | 1.57038 | + | 1.25233i | ||||
\(899\) | 24.3824 | + | 11.7419i | 0.813197 | + | 0.391615i | ||||
\(900\) | −0.880559 | − | 3.85798i | −0.0293520 | − | 0.128599i | ||||
\(901\) | −57.1470 | − | 0.967182i | −1.90384 | − | 0.0322215i | ||||
\(902\) | 5.44355 | 0.181251 | ||||||||
\(903\) | 7.78712 | − | 27.3665i | 0.259139 | − | 0.910701i | ||||
\(904\) | 25.0826i | 0.834235i | ||||||||
\(905\) | 7.11630 | − | 31.1786i | 0.236554 | − | 1.03641i | ||||
\(906\) | 21.2182 | − | 4.84292i | 0.704927 | − | 0.160895i | ||||
\(907\) | 18.3924 | − | 38.1923i | 0.610711 | − | 1.26815i | −0.334716 | − | 0.942319i | \(-0.608640\pi\) |
0.945427 | − | 0.325835i | \(-0.105645\pi\) | |||||||
\(908\) | 10.2858 | + | 8.20264i | 0.341346 | + | 0.272214i | ||||
\(909\) | 2.85479 | 0.0946873 | ||||||||
\(910\) | 75.2987 | 2.49613 | ||||||||
\(911\) | −37.5357 | − | 29.9338i | −1.24361 | − | 0.991749i | −0.999759 | − | 0.0219378i | \(-0.993016\pi\) |
−0.243855 | − | 0.969812i | \(-0.578412\pi\) | |||||||
\(912\) | 0.565395 | + | 1.17405i | 0.0187221 | + | 0.0388768i | ||||
\(913\) | −4.23664 | + | 3.37861i | −0.140212 | + | 0.111816i | ||||
\(914\) | −32.5310 | + | 15.6661i | −1.07603 | + | 0.518188i | ||||
\(915\) | −15.4128 | − | 3.51787i | −0.509532 | − | 0.116297i | ||||
\(916\) | 9.53846 | − | 11.9608i | 0.315159 | − | 0.395197i | ||||
\(917\) | −17.0539 | + | 74.7179i | −0.563168 | + | 2.46740i | ||||
\(918\) | 46.4788 | + | 11.4393i | 1.53403 | + | 0.377553i | ||||
\(919\) | −2.64514 | − | 3.31690i | −0.0872550 | − | 0.109414i | 0.736288 | − | 0.676669i | \(-0.236577\pi\) |
−0.823543 | + | 0.567254i | \(0.808006\pi\) | |||||||
\(920\) | −6.91936 | − | 8.67660i | −0.228124 | − | 0.286059i | ||||
\(921\) | 7.62655 | − | 1.74071i | 0.251303 | − | 0.0573583i | ||||
\(922\) | 3.46277 | + | 1.66758i | 0.114040 | + | 0.0549189i | ||||
\(923\) | 23.1489 | + | 48.0693i | 0.761956 | + | 1.58222i | ||||
\(924\) | 7.09416 | − | 1.61920i | 0.233381 | − | 0.0532677i | ||||
\(925\) | −0.343318 | + | 0.0783602i | −0.0112882 | + | 0.00257647i | ||||
\(926\) | −27.4707 | + | 13.2292i | −0.902742 | + | 0.434738i | ||||
\(927\) | −3.82401 | − | 1.84155i | −0.125597 | − | 0.0604844i | ||||
\(928\) | −24.1414 | + | 5.51011i | −0.792480 | + | 0.180878i | ||||
\(929\) | 24.8533 | − | 19.8199i | 0.815411 | − | 0.650268i | −0.124298 | − | 0.992245i | \(-0.539668\pi\) |
0.939708 | + | 0.341977i | \(0.111096\pi\) | |||||||
\(930\) | −27.0189 | + | 21.5468i | −0.885984 | + | 0.706549i | ||||
\(931\) | 15.9495 | + | 7.68086i | 0.522723 | + | 0.251730i | ||||
\(932\) | −56.9184 | − | 12.9913i | −1.86443 | − | 0.425543i | ||||
\(933\) | −9.47184 | + | 11.8773i | −0.310094 | + | 0.388846i | ||||
\(934\) | −10.7377 | + | 47.0451i | −0.351350 | + | 1.53936i | ||||
\(935\) | 2.85134 | + | 3.70230i | 0.0932488 | + | 0.121078i | ||||
\(936\) | 11.1437 | + | 13.9738i | 0.364243 | + | 0.456747i | ||||
\(937\) | −20.5421 | + | 9.89256i | −0.671081 | + | 0.323176i | −0.738212 | − | 0.674568i | \(-0.764330\pi\) |
0.0671310 | + | 0.997744i | \(0.478615\pi\) | |||||||
\(938\) | −70.5437 | − | 56.2567i | −2.30333 | − | 1.83685i | ||||
\(939\) | −12.5477 | −0.409478 | ||||||||
\(940\) | − | 56.3699i | − | 1.83858i | ||||||
\(941\) | −41.7140 | − | 33.2658i | −1.35984 | − | 1.08444i | −0.987717 | − | 0.156251i | \(-0.950059\pi\) |
−0.372122 | − | 0.928184i | \(-0.621370\pi\) | |||||||
\(942\) | −13.6685 | + | 28.3830i | −0.445345 | + | 0.924769i | ||||
\(943\) | −2.17414 | − | 9.52554i | −0.0707998 | − | 0.310194i | ||||
\(944\) | −1.99230 | + | 8.72885i | −0.0648440 | + | 0.284100i | ||||
\(945\) | 44.0842i | 1.43406i | ||||||||
\(946\) | 7.74891 | + | 2.20495i | 0.251939 | + | 0.0716890i | ||||
\(947\) | 3.14086i | 0.102064i | 0.998697 | + | 0.0510321i | \(0.0162511\pi\) | ||||
−0.998697 | + | 0.0510321i | \(0.983749\pi\) | |||||||
\(948\) | −2.01318 | + | 8.82033i | −0.0653851 | + | 0.286471i | ||||
\(949\) | 33.9720 | − | 7.75389i | 1.10278 | − | 0.251702i | ||||
\(950\) | −2.46141 | − | 1.18535i | −0.0798587 | − | 0.0384579i | ||||
\(951\) | −3.28333 | + | 4.11717i | −0.106469 | + | 0.133508i | ||||
\(952\) | −40.2201 | + | 8.46656i | −1.30354 | + | 0.274403i | ||||
\(953\) | 16.3620 | 0.530019 | 0.265009 | − | 0.964246i | \(-0.414625\pi\) | ||||
0.265009 | + | 0.964246i | \(0.414625\pi\) | |||||||
\(954\) | 36.7785 | − | 46.1188i | 1.19075 | − | 1.49315i | ||||
\(955\) | 14.8250 | + | 30.7844i | 0.479725 | + | 0.996159i | ||||
\(956\) | 18.1359 | + | 22.7417i | 0.586557 | + | 0.735520i | ||||
\(957\) | −0.963862 | − | 2.00148i | −0.0311572 | − | 0.0646986i | ||||
\(958\) | −25.7923 | − | 5.88692i | −0.833310 | − | 0.190198i | ||||
\(959\) | 52.6394 | + | 41.9785i | 1.69982 | + | 1.35556i | ||||
\(960\) | 6.35931 | − | 27.8620i | 0.205246 | − | 0.899241i | ||||
\(961\) | 16.2566 | + | 7.82877i | 0.524407 | + | 0.252541i | ||||
\(962\) | 3.55710 | − | 2.83669i | 0.114685 | − | 0.0914586i | ||||
\(963\) | 9.13579 | − | 7.28555i | 0.294397 | − | 0.234774i | ||||
\(964\) | −28.2680 | + | 6.45198i | −0.910451 | + | 0.207804i | ||||
\(965\) | 1.89386 | + | 0.912035i | 0.0609655 | + | 0.0293594i | ||||
\(966\) | −9.35254 | − | 19.4208i | −0.300913 | − | 0.624852i | ||||
\(967\) | 2.55519 | + | 11.1950i | 0.0821694 | + | 0.360007i | 0.999251 | − | 0.0386915i | \(-0.0123190\pi\) |
−0.917082 | + | 0.398699i | \(0.869462\pi\) | |||||||
\(968\) | −5.76727 | − | 25.2681i | −0.185367 | − | 0.812146i | ||||
\(969\) | 6.12908 | − | 4.72033i | 0.196894 | − | 0.151639i | ||||
\(970\) | 49.3546 | + | 23.7679i | 1.58468 | + | 0.763141i | ||||
\(971\) | 1.47518 | + | 6.46320i | 0.0473409 | + | 0.207414i | 0.993067 | − | 0.117551i | \(-0.0375045\pi\) |
−0.945726 | + | 0.324965i | \(0.894647\pi\) | |||||||
\(972\) | −37.7623 | + | 30.1144i | −1.21123 | + | 0.965921i | ||||
\(973\) | −49.2637 | − | 61.7747i | −1.57932 | − | 1.98041i | ||||
\(974\) | 25.8385 | − | 53.6542i | 0.827919 | − | 1.71919i | ||||
\(975\) | −2.73555 | − | 0.624371i | −0.0876077 | − | 0.0199959i | ||||
\(976\) | −3.91883 | − | 3.12516i | −0.125439 | − | 0.100034i | ||||
\(977\) | −8.65727 | + | 37.9300i | −0.276970 | + | 1.21349i | 0.624631 | + | 0.780920i | \(0.285249\pi\) |
−0.901602 | + | 0.432567i | \(0.857608\pi\) | |||||||
\(978\) | 42.6482 | − | 20.5383i | 1.36374 | − | 0.656742i | ||||
\(979\) | −7.41969 | + | 5.91700i | −0.237134 | + | 0.189108i | ||||
\(980\) | −27.5740 | − | 57.2580i | −0.880820 | − | 1.82904i | ||||
\(981\) | −3.86568 | − | 3.08278i | −0.123422 | − | 0.0984255i | ||||
\(982\) | −69.2189 | −2.20887 | ||||||||
\(983\) | 5.18170i | 0.165271i | 0.996580 | + | 0.0826353i | \(0.0263337\pi\) | ||||
−0.996580 | + | 0.0826353i | \(0.973666\pi\) | |||||||
\(984\) | −7.05148 | + | 8.84228i | −0.224793 | + | 0.281882i | ||||
\(985\) | 20.1352 | + | 9.69660i | 0.641561 | + | 0.308959i | ||||
\(986\) | 15.0241 | + | 32.5979i | 0.478466 | + | 1.03813i | ||||
\(987\) | 8.51712 | − | 37.3159i | 0.271103 | − | 1.18778i | ||||
\(988\) | 21.3865 | 0.680395 | ||||||||
\(989\) | 0.763483 | − | 14.4403i | 0.0242773 | − | 0.459174i | ||||
\(990\) | −4.82288 | −0.153281 | ||||||||
\(991\) | 19.9945 | + | 4.56361i | 0.635146 | + | 0.144968i | 0.527957 | − | 0.849271i | \(-0.322958\pi\) |
0.107188 | + | 0.994239i | \(0.465815\pi\) | |||||||
\(992\) | −43.7500 | + | 9.98564i | −1.38906 | + | 0.317044i | ||||
\(993\) | 2.87589 | − | 5.97184i | 0.0912635 | − | 0.189511i | ||||
\(994\) | 78.9503 | − | 99.0006i | 2.50415 | − | 3.14011i | ||||
\(995\) | −5.13453 | −0.162776 | ||||||||
\(996\) | − | 32.2049i | − | 1.02045i | ||||||
\(997\) | −30.0494 | − | 23.9636i | −0.951673 | − | 0.758934i | 0.0188800 | − | 0.999822i | \(-0.493990\pi\) |
−0.970553 | + | 0.240888i | \(0.922561\pi\) | |||||||
\(998\) | 0.671612 | + | 1.39462i | 0.0212595 | + | 0.0441458i | ||||
\(999\) | 1.66076 | + | 2.08253i | 0.0525442 | + | 0.0658884i |
(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 | 731.2.p.a.594.10 | yes | 384 | |
17.16 | even | 2 | inner | 731.2.p.a.594.9 | yes | 384 | |
43.16 | even | 7 | inner | 731.2.p.a.16.9 | ✓ | 384 | |
731.16 | even | 14 | inner | 731.2.p.a.16.10 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.p.a.16.9 | ✓ | 384 | 43.16 | even | 7 | inner | |
731.2.p.a.16.10 | yes | 384 | 731.16 | even | 14 | inner | |
731.2.p.a.594.9 | yes | 384 | 17.16 | even | 2 | inner | |
731.2.p.a.594.10 | yes | 384 | 1.1 | even | 1 | trivial |