Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 13.93 | ||
Character | \(\chi\) | \(=\) | 576.13 |
Dual form | 576.2.bm.a.133.93 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40630 | − | 0.149385i | 0.994405 | − | 0.105631i | ||||
\(3\) | 1.43777 | + | 0.965827i | 0.830096 | + | 0.557621i | ||||
\(4\) | 1.95537 | − | 0.420161i | 0.977684 | − | 0.210080i | ||||
\(5\) | 0.516861 | − | 1.52262i | 0.231147 | − | 0.680938i | −0.768031 | − | 0.640413i | \(-0.778763\pi\) |
0.999178 | − | 0.0405258i | \(-0.0129033\pi\) | |||||||
\(6\) | 2.16622 | + | 1.14346i | 0.884354 | + | 0.466817i | ||||
\(7\) | −0.0123350 | + | 0.0160753i | −0.00466219 | + | 0.00607589i | −0.795679 | − | 0.605719i | \(-0.792886\pi\) |
0.791016 | + | 0.611795i | \(0.209552\pi\) | |||||||
\(8\) | 2.68707 | − | 0.882976i | 0.950023 | − | 0.312179i | ||||
\(9\) | 1.13436 | + | 2.77727i | 0.378119 | + | 0.925757i | ||||
\(10\) | 0.499406 | − | 2.21848i | 0.157926 | − | 0.701545i | ||||
\(11\) | −1.09725 | − | 0.0719174i | −0.330832 | − | 0.0216839i | −0.100918 | − | 0.994895i | \(-0.532178\pi\) |
−0.229914 | + | 0.973211i | \(0.573845\pi\) | |||||||
\(12\) | 3.21717 | + | 1.28445i | 0.928717 | + | 0.370790i | ||||
\(13\) | −2.81103 | + | 3.20536i | −0.779639 | + | 0.889008i | −0.996185 | − | 0.0872646i | \(-0.972187\pi\) |
0.216546 | + | 0.976272i | \(0.430521\pi\) | |||||||
\(14\) | −0.0149453 | + | 0.0244494i | −0.00399431 | + | 0.00653437i | ||||
\(15\) | 2.21372 | − | 1.68998i | 0.571580 | − | 0.436352i | ||||
\(16\) | 3.64693 | − | 1.64314i | 0.911732 | − | 0.410785i | ||||
\(17\) | −2.58058 | − | 2.58058i | −0.625882 | − | 0.625882i | 0.321147 | − | 0.947029i | \(-0.395932\pi\) |
−0.947029 | + | 0.321147i | \(0.895932\pi\) | |||||||
\(18\) | 2.01013 | + | 3.73623i | 0.473792 | + | 0.880637i | ||||
\(19\) | 0.725210 | − | 3.64588i | 0.166375 | − | 0.836421i | −0.803965 | − | 0.594676i | \(-0.797280\pi\) |
0.970340 | − | 0.241745i | \(-0.0777197\pi\) | |||||||
\(20\) | 0.370907 | − | 3.19446i | 0.0829374 | − | 0.714302i | ||||
\(21\) | −0.0332608 | + | 0.0111991i | −0.00725811 | + | 0.00244384i | ||||
\(22\) | −1.55380 | + | 0.0627748i | −0.331272 | + | 0.0133836i | ||||
\(23\) | −5.48655 | + | 4.20998i | −1.14403 | + | 0.877841i | −0.993841 | − | 0.110817i | \(-0.964653\pi\) |
−0.150184 | + | 0.988658i | \(0.547987\pi\) | |||||||
\(24\) | 4.71619 | + | 1.32573i | 0.962688 | + | 0.270614i | ||||
\(25\) | 1.91553 | + | 1.46984i | 0.383105 | + | 0.293967i | ||||
\(26\) | −3.47432 | + | 4.92763i | −0.681370 | + | 0.966388i | ||||
\(27\) | −1.05142 | + | 5.08866i | −0.202346 | + | 0.979314i | ||||
\(28\) | −0.0173653 | + | 0.0366158i | −0.00328173 | + | 0.00691974i | ||||
\(29\) | 3.71824 | − | 7.53985i | 0.690460 | − | 1.40011i | −0.215395 | − | 0.976527i | \(-0.569104\pi\) |
0.905855 | − | 0.423588i | \(-0.139229\pi\) | |||||||
\(30\) | 2.86070 | − | 2.70732i | 0.522290 | − | 0.494287i | ||||
\(31\) | −4.82349 | − | 2.78484i | −0.866324 | − | 0.500172i | −0.000199064 | − | 1.00000i | \(-0.500063\pi\) |
−0.866125 | + | 0.499828i | \(0.833397\pi\) | |||||||
\(32\) | 4.88322 | − | 2.85554i | 0.863240 | − | 0.504794i | ||||
\(33\) | −1.50813 | − | 1.16315i | −0.262531 | − | 0.202479i | ||||
\(34\) | −4.01457 | − | 3.24357i | −0.688493 | − | 0.556268i | ||||
\(35\) | 0.0181011 | + | 0.0270903i | 0.00305965 | + | 0.00457909i | ||||
\(36\) | 3.38498 | + | 4.95398i | 0.564164 | + | 0.825663i | ||||
\(37\) | −0.768663 | − | 3.86433i | −0.126367 | − | 0.635292i | −0.991107 | − | 0.133070i | \(-0.957516\pi\) |
0.864739 | − | 0.502221i | \(-0.167484\pi\) | |||||||
\(38\) | 0.475224 | − | 5.23554i | 0.0770916 | − | 0.849316i | ||||
\(39\) | −7.13743 | + | 1.89360i | −1.14290 | + | 0.303219i | ||||
\(40\) | 0.0444034 | − | 4.54778i | 0.00702080 | − | 0.719067i | ||||
\(41\) | 2.09756 | − | 1.60952i | 0.327584 | − | 0.251364i | −0.431854 | − | 0.901943i | \(-0.642141\pi\) |
0.759438 | + | 0.650579i | \(0.225474\pi\) | |||||||
\(42\) | −0.0451018 | + | 0.0207179i | −0.00695936 | + | 0.00319685i | ||||
\(43\) | −0.833681 | + | 12.7195i | −0.127135 | + | 1.93971i | 0.171178 | + | 0.985240i | \(0.445243\pi\) |
−0.298313 | + | 0.954468i | \(0.596424\pi\) | |||||||
\(44\) | −2.17574 | + | 0.320395i | −0.328005 | + | 0.0483014i | ||||
\(45\) | 4.81505 | − | 0.291734i | 0.717785 | − | 0.0434892i | ||||
\(46\) | −7.08684 | + | 6.74011i | −1.04490 | + | 0.993775i | ||||
\(47\) | −0.254470 | + | 0.949695i | −0.0371183 | + | 0.138527i | −0.981998 | − | 0.188889i | \(-0.939511\pi\) |
0.944880 | + | 0.327416i | \(0.106178\pi\) | |||||||
\(48\) | 6.83043 | + | 1.15985i | 0.985887 | + | 0.167410i | ||||
\(49\) | 1.81163 | + | 6.76108i | 0.258804 | + | 0.965869i | ||||
\(50\) | 2.91338 | + | 1.78088i | 0.412014 | + | 0.251855i | ||||
\(51\) | −1.21788 | − | 6.20266i | −0.170537 | − | 0.868547i | ||||
\(52\) | −4.14983 | + | 7.44875i | −0.575477 | + | 1.03296i | ||||
\(53\) | −5.06067 | + | 7.57383i | −0.695137 | + | 1.04035i | 0.301093 | + | 0.953595i | \(0.402648\pi\) |
−0.996230 | + | 0.0867509i | \(0.972352\pi\) | |||||||
\(54\) | −0.718447 | + | 7.31326i | −0.0977682 | + | 0.995209i | ||||
\(55\) | −0.676628 | + | 1.63352i | −0.0912365 | + | 0.220264i | ||||
\(56\) | −0.0189510 | + | 0.0540870i | −0.00253243 | + | 0.00722768i | ||||
\(57\) | 4.56397 | − | 4.54150i | 0.604512 | − | 0.601536i | ||||
\(58\) | 4.10263 | − | 11.1587i | 0.538701 | − | 1.46522i | ||||
\(59\) | 2.18648 | − | 6.44117i | 0.284656 | − | 0.838569i | −0.706717 | − | 0.707496i | \(-0.749825\pi\) |
0.991373 | − | 0.131072i | \(-0.0418421\pi\) | |||||||
\(60\) | 3.61857 | − | 4.23466i | 0.467156 | − | 0.546692i | ||||
\(61\) | −9.00400 | − | 4.44028i | −1.15284 | − | 0.568520i | −0.237578 | − | 0.971369i | \(-0.576353\pi\) |
−0.915267 | + | 0.402849i | \(0.868020\pi\) | |||||||
\(62\) | −7.19929 | − | 3.19577i | −0.914311 | − | 0.405863i | ||||
\(63\) | −0.0586377 | − | 0.0160226i | −0.00738766 | − | 0.00201865i | ||||
\(64\) | 6.44071 | − | 4.74524i | 0.805089 | − | 0.593155i | ||||
\(65\) | 3.42765 | + | 5.93687i | 0.425148 | + | 0.736378i | ||||
\(66\) | −2.29464 | − | 1.41045i | −0.282451 | − | 0.173614i | ||||
\(67\) | 0.571757 | + | 8.72333i | 0.0698513 | + | 1.06572i | 0.878596 | + | 0.477565i | \(0.158481\pi\) |
−0.808745 | + | 0.588159i | \(0.799853\pi\) | |||||||
\(68\) | −6.13024 | − | 3.96172i | −0.743400 | − | 0.480429i | ||||
\(69\) | −11.9545 | + | 0.753915i | −1.43915 | + | 0.0907607i | ||||
\(70\) | 0.0295026 | + | 0.0353931i | 0.00352623 | + | 0.00423028i | ||||
\(71\) | −0.699528 | − | 1.68881i | −0.0830187 | − | 0.200425i | 0.876919 | − | 0.480638i | \(-0.159595\pi\) |
−0.959938 | + | 0.280213i | \(0.909595\pi\) | |||||||
\(72\) | 5.50036 | + | 6.46112i | 0.648224 | + | 0.761450i | ||||
\(73\) | 2.18322 | − | 5.27076i | 0.255527 | − | 0.616896i | −0.743106 | − | 0.669174i | \(-0.766648\pi\) |
0.998633 | + | 0.0522776i | \(0.0166481\pi\) | |||||||
\(74\) | −1.65824 | − | 5.31958i | −0.192767 | − | 0.618389i | ||||
\(75\) | 1.33448 | + | 3.96335i | 0.154092 | + | 0.457648i | ||||
\(76\) | −0.113802 | − | 7.43373i | −0.0130540 | − | 0.852708i | ||||
\(77\) | 0.0146906 | − | 0.0167515i | 0.00167415 | − | 0.00190901i | ||||
\(78\) | −9.75451 | + | 3.72920i | −1.10448 | + | 0.422249i | ||||
\(79\) | −6.44604 | − | 1.72721i | −0.725236 | − | 0.194326i | −0.122729 | − | 0.992440i | \(-0.539165\pi\) |
−0.602507 | + | 0.798114i | \(0.705831\pi\) | |||||||
\(80\) | −0.616925 | − | 6.40218i | −0.0689743 | − | 0.715785i | ||||
\(81\) | −6.42647 | + | 6.30083i | −0.714052 | + | 0.700092i | ||||
\(82\) | 2.70937 | − | 2.57681i | 0.299200 | − | 0.284561i | ||||
\(83\) | 3.08355 | − | 1.04672i | 0.338463 | − | 0.114893i | −0.147033 | − | 0.989132i | \(-0.546972\pi\) |
0.485496 | + | 0.874239i | \(0.338639\pi\) | |||||||
\(84\) | −0.0603318 | + | 0.0358732i | −0.00658274 | + | 0.00391409i | ||||
\(85\) | −5.26305 | + | 2.59545i | −0.570858 | + | 0.281516i | ||||
\(86\) | 0.727698 | + | 18.0120i | 0.0784697 | + | 1.94229i | ||||
\(87\) | 12.6282 | − | 7.24938i | 1.35388 | − | 0.777215i | ||||
\(88\) | −3.01188 | + | 0.775595i | −0.321068 | + | 0.0826787i | ||||
\(89\) | 5.43036 | − | 2.24933i | 0.575617 | − | 0.238428i | −0.0758323 | − | 0.997121i | \(-0.524161\pi\) |
0.651449 | + | 0.758692i | \(0.274161\pi\) | |||||||
\(90\) | 6.72783 | − | 1.12956i | 0.709175 | − | 0.119066i | ||||
\(91\) | −0.0168531 | − | 0.0847263i | −0.00176669 | − | 0.00888173i | ||||
\(92\) | −8.95936 | + | 10.5373i | −0.934078 | + | 1.09859i | ||||
\(93\) | −4.24538 | − | 8.66261i | −0.440226 | − | 0.898271i | ||||
\(94\) | −0.215991 | + | 1.37357i | −0.0222778 | + | 0.141673i | ||||
\(95\) | −5.17647 | − | 2.98863i | −0.531094 | − | 0.306627i | ||||
\(96\) | 9.77891 | + | 0.610737i | 0.998055 | + | 0.0623331i | ||||
\(97\) | −2.86071 | + | 1.65163i | −0.290461 | + | 0.167698i | −0.638150 | − | 0.769912i | \(-0.720300\pi\) |
0.347689 | + | 0.937610i | \(0.386967\pi\) | |||||||
\(98\) | 3.55770 | + | 9.23749i | 0.359382 | + | 0.933128i | ||||
\(99\) | −1.04493 | − | 3.12893i | −0.105020 | − | 0.314470i | ||||
\(100\) | 4.36313 | + | 2.06924i | 0.436313 | + | 0.206924i | ||||
\(101\) | 10.0860 | − | 8.84517i | 1.00359 | − | 0.880127i | 0.0107965 | − | 0.999942i | \(-0.496563\pi\) |
0.992796 | + | 0.119814i | \(0.0382300\pi\) | |||||||
\(102\) | −2.63929 | − | 8.54088i | −0.261329 | − | 0.845673i | ||||
\(103\) | −0.162778 | + | 1.23642i | −0.0160390 | + | 0.121828i | −0.997591 | − | 0.0693655i | \(-0.977903\pi\) |
0.981552 | + | 0.191194i | \(0.0612359\pi\) | |||||||
\(104\) | −4.72318 | + | 11.0951i | −0.463146 | + | 1.08797i | ||||
\(105\) | −0.000139269 | 0.0564321i | −1.35912e−5 | 0.00550721i | ||||||
\(106\) | −5.98541 | + | 11.4071i | −0.581355 | + | 1.10795i | ||||
\(107\) | −0.488957 | − | 0.326711i | −0.0472693 | − | 0.0315843i | 0.531711 | − | 0.846926i | \(-0.321549\pi\) |
−0.578980 | + | 0.815341i | \(0.696549\pi\) | |||||||
\(108\) | 0.0821396 | + | 10.3920i | 0.00790389 | + | 0.999969i | ||||
\(109\) | 2.06931 | − | 10.4031i | 0.198204 | − | 0.996437i | −0.745717 | − | 0.666263i | \(-0.767893\pi\) |
0.943920 | − | 0.330174i | \(-0.107107\pi\) | |||||||
\(110\) | −0.707519 | + | 2.39830i | −0.0674592 | + | 0.228669i | ||||
\(111\) | 2.62711 | − | 6.29840i | 0.249355 | − | 0.597818i | ||||
\(112\) | −0.0185710 | + | 0.0788936i | −0.00175479 | + | 0.00745474i | ||||
\(113\) | −5.24873 | − | 19.5885i | −0.493759 | − | 1.84273i | −0.536873 | − | 0.843663i | \(-0.680395\pi\) |
0.0431143 | − | 0.999070i | \(-0.486272\pi\) | |||||||
\(114\) | 5.73988 | − | 7.06850i | 0.537589 | − | 0.662026i | ||||
\(115\) | 3.57443 | + | 10.5299i | 0.333317 | + | 0.981921i | ||||
\(116\) | 4.10258 | − | 16.3054i | 0.380915 | − | 1.51392i | ||||
\(117\) | −12.0909 | − | 4.17096i | −1.11780 | − | 0.385606i | ||||
\(118\) | 2.11264 | − | 9.38485i | 0.194484 | − | 0.863946i | ||||
\(119\) | 0.0733150 | − | 0.00965210i | 0.00672077 | − | 0.000884807i | ||||
\(120\) | 4.45621 | − | 6.49576i | 0.406794 | − | 0.592979i | ||||
\(121\) | −9.70711 | − | 1.27797i | −0.882465 | − | 0.116179i | ||||
\(122\) | −13.3257 | − | 4.89931i | −1.20645 | − | 0.443563i | ||||
\(123\) | 4.57032 | − | 0.288229i | 0.412092 | − | 0.0259887i | ||||
\(124\) | −10.6018 | − | 3.41875i | −0.952068 | − | 0.307013i | ||||
\(125\) | 9.91291 | − | 6.62360i | 0.886638 | − | 0.592433i | ||||
\(126\) | −0.0848559 | − | 0.0137729i | −0.00755956 | − | 0.00122699i | ||||
\(127\) | 4.87617 | 0.432690 | 0.216345 | − | 0.976317i | \(-0.430586\pi\) | ||||
0.216345 | + | 0.976317i | \(0.430586\pi\) | |||||||
\(128\) | 8.34871 | − | 7.63538i | 0.737929 | − | 0.674879i | ||||
\(129\) | −13.4835 | + | 17.4825i | −1.18716 | + | 1.53925i | ||||
\(130\) | 5.70719 | + | 7.83699i | 0.500554 | + | 0.687349i | ||||
\(131\) | 0.795716 | + | 12.1403i | 0.0695221 | + | 1.06070i | 0.880013 | + | 0.474950i | \(0.157534\pi\) |
−0.810491 | + | 0.585752i | \(0.800799\pi\) | |||||||
\(132\) | −3.43765 | − | 1.64073i | −0.299209 | − | 0.142807i | ||||
\(133\) | 0.0496631 | + | 0.0566299i | 0.00430633 | + | 0.00491043i | ||||
\(134\) | 2.10720 | + | 12.1822i | 0.182034 | + | 1.05238i | ||||
\(135\) | 7.20469 | + | 4.23106i | 0.620081 | + | 0.364151i | ||||
\(136\) | −9.21278 | − | 4.65561i | −0.789990 | − | 0.399215i | ||||
\(137\) | −6.50570 | + | 0.856491i | −0.555819 | + | 0.0731750i | −0.403203 | − | 0.915111i | \(-0.632103\pi\) |
−0.152616 | + | 0.988286i | \(0.548770\pi\) | |||||||
\(138\) | −16.6990 | + | 2.84606i | −1.42151 | + | 0.242272i | ||||
\(139\) | 1.68661 | + | 3.42011i | 0.143056 | + | 0.290090i | 0.956595 | − | 0.291422i | \(-0.0941283\pi\) |
−0.813538 | + | 0.581511i | \(0.802462\pi\) | |||||||
\(140\) | 0.0467767 | + | 0.0453661i | 0.00395335 | + | 0.00383413i | ||||
\(141\) | −1.28311 | + | 1.11967i | −0.108057 | + | 0.0942931i | ||||
\(142\) | −1.23603 | − | 2.27048i | −0.103725 | − | 0.190534i | ||||
\(143\) | 3.31491 | − | 3.31491i | 0.277207 | − | 0.277207i | ||||
\(144\) | 8.70036 | + | 8.26461i | 0.725030 | + | 0.688717i | ||||
\(145\) | −9.55854 | − | 9.55854i | −0.793794 | − | 0.793794i | ||||
\(146\) | 2.28290 | − | 7.73843i | 0.188934 | − | 0.640437i | ||||
\(147\) | −3.92534 | + | 11.4706i | −0.323756 | + | 0.946078i | ||||
\(148\) | −3.12666 | − | 7.23322i | −0.257010 | − | 0.594567i | ||||
\(149\) | 14.0298 | − | 6.91872i | 1.14936 | − | 0.566804i | 0.235120 | − | 0.971966i | \(-0.424452\pi\) |
0.914245 | + | 0.405162i | \(0.132785\pi\) | |||||||
\(150\) | 2.46874 | + | 5.37432i | 0.201572 | + | 0.438811i | ||||
\(151\) | 1.77195 | + | 13.4593i | 0.144199 | + | 1.09530i | 0.898562 | + | 0.438846i | \(0.144613\pi\) |
−0.754363 | + | 0.656458i | \(0.772054\pi\) | |||||||
\(152\) | −1.27053 | − | 10.4371i | −0.103053 | − | 0.846558i | ||||
\(153\) | 4.23967 | − | 10.0943i | 0.342757 | − | 0.816072i | ||||
\(154\) | 0.0181571 | − | 0.0257522i | 0.00146314 | − | 0.00207517i | ||||
\(155\) | −6.73334 | + | 5.90498i | −0.540835 | + | 0.474300i | ||||
\(156\) | −13.1607 | + | 6.70156i | −1.05370 | + | 0.536554i | ||||
\(157\) | 15.8372 | − | 1.03803i | 1.26395 | − | 0.0828436i | 0.581360 | − | 0.813647i | \(-0.302521\pi\) |
0.682588 | + | 0.730803i | \(0.260854\pi\) | |||||||
\(158\) | −9.32309 | − | 1.46604i | −0.741705 | − | 0.116632i | ||||
\(159\) | −14.5911 | + | 6.00168i | −1.15715 | + | 0.475964i | ||||
\(160\) | −1.82397 | − | 8.91124i | −0.144198 | − | 0.704495i | ||||
\(161\) | − | 0.140128i | − | 0.0110436i | ||||||
\(162\) | −8.09631 | + | 9.82089i | −0.636106 | + | 0.771602i | ||||
\(163\) | 4.87223 | + | 7.29181i | 0.381623 | + | 0.571139i | 0.971703 | − | 0.236206i | \(-0.0759040\pi\) |
−0.590080 | + | 0.807344i | \(0.700904\pi\) | |||||||
\(164\) | 3.42525 | − | 4.02851i | 0.267467 | − | 0.314574i | ||||
\(165\) | −2.55054 | + | 1.69512i | −0.198559 | + | 0.131965i | ||||
\(166\) | 4.18003 | − | 1.93264i | 0.324434 | − | 0.150002i | ||||
\(167\) | −0.632330 | + | 4.80303i | −0.0489312 | + | 0.371669i | 0.949407 | + | 0.314047i | \(0.101685\pi\) |
−0.998338 | + | 0.0576219i | \(0.981648\pi\) | |||||||
\(168\) | −0.0794858 | + | 0.0594612i | −0.00613246 | + | 0.00458753i | ||||
\(169\) | −0.675634 | − | 5.13195i | −0.0519718 | − | 0.394765i | ||||
\(170\) | −7.01372 | + | 4.43621i | −0.537927 | + | 0.340241i | ||||
\(171\) | 10.9482 | − | 2.12162i | 0.837232 | − | 0.162244i | ||||
\(172\) | 3.71409 | + | 25.2216i | 0.283197 | + | 1.92313i | ||||
\(173\) | −2.31758 | + | 0.786712i | −0.176202 | + | 0.0598126i | −0.408146 | − | 0.912917i | \(-0.633825\pi\) |
0.231944 | + | 0.972729i | \(0.425491\pi\) | |||||||
\(174\) | 16.6761 | − | 12.0813i | 1.26421 | − | 0.915879i | ||||
\(175\) | −0.0472561 | + | 0.0126622i | −0.00357222 | + | 0.000957175i | ||||
\(176\) | −4.11975 | + | 1.54065i | −0.310538 | + | 0.116131i | ||||
\(177\) | 9.36471 | − | 7.14915i | 0.703895 | − | 0.537363i | ||||
\(178\) | 7.30071 | − | 3.97445i | 0.547211 | − | 0.297897i | ||||
\(179\) | 7.62612 | + | 1.51693i | 0.570003 | + | 0.113381i | 0.471673 | − | 0.881773i | \(-0.343650\pi\) |
0.0983293 | + | 0.995154i | \(0.468650\pi\) | |||||||
\(180\) | 9.29261 | − | 2.59354i | 0.692630 | − | 0.193311i | ||||
\(181\) | −11.1652 | + | 16.7099i | −0.829901 | + | 1.24203i | 0.137932 | + | 0.990442i | \(0.455954\pi\) |
−0.967833 | + | 0.251593i | \(0.919046\pi\) | |||||||
\(182\) | −0.0363574 | − | 0.116633i | −0.00269499 | − | 0.00864542i | ||||
\(183\) | −8.65713 | − | 15.0804i | −0.639953 | − | 1.11478i | ||||
\(184\) | −11.0255 | + | 16.1570i | −0.812807 | + | 1.19111i | ||||
\(185\) | −6.28121 | − | 0.826937i | −0.461804 | − | 0.0607976i | ||||
\(186\) | −7.26435 | − | 11.5480i | −0.532648 | − | 0.846744i | ||||
\(187\) | 2.64594 | + | 3.01712i | 0.193490 | + | 0.220634i | ||||
\(188\) | −0.0985580 | + | 1.96392i | −0.00718808 | + | 0.143234i | ||||
\(189\) | −0.0688325 | − | 0.0796706i | −0.00500683 | − | 0.00579519i | ||||
\(190\) | −7.72613 | − | 3.42963i | −0.560512 | − | 0.248812i | ||||
\(191\) | −6.45678 | − | 11.1835i | −0.467196 | − | 0.809208i | 0.532101 | − | 0.846681i | \(-0.321403\pi\) |
−0.999298 | + | 0.0374729i | \(0.988069\pi\) | |||||||
\(192\) | 13.8433 | − | 0.601941i | 0.999056 | − | 0.0434414i | ||||
\(193\) | −9.71263 | + | 16.8228i | −0.699131 | + | 1.21093i | 0.269638 | + | 0.962962i | \(0.413096\pi\) |
−0.968768 | + | 0.247968i | \(0.920237\pi\) | |||||||
\(194\) | −3.77629 | + | 2.75004i | −0.271122 | + | 0.197441i | ||||
\(195\) | −0.805818 | + | 11.8464i | −0.0577058 | + | 0.848336i | ||||
\(196\) | 6.38314 | + | 12.4592i | 0.455939 | + | 0.889945i | ||||
\(197\) | 16.0569 | − | 3.19391i | 1.14400 | − | 0.227556i | 0.413525 | − | 0.910493i | \(-0.364297\pi\) |
0.730478 | + | 0.682936i | \(0.239297\pi\) | |||||||
\(198\) | −1.93691 | − | 4.24412i | −0.137650 | − | 0.301617i | ||||
\(199\) | 2.65524 | + | 6.41031i | 0.188225 | + | 0.454415i | 0.989618 | − | 0.143723i | \(-0.0459075\pi\) |
−0.801393 | + | 0.598138i | \(0.795908\pi\) | |||||||
\(200\) | 6.44499 | + | 2.25819i | 0.455729 | + | 0.159678i | ||||
\(201\) | −7.60317 | + | 13.0943i | −0.536287 | + | 0.923604i | ||||
\(202\) | 12.8626 | − | 13.9457i | 0.905009 | − | 0.981214i | ||||
\(203\) | 0.0753407 | + | 0.152776i | 0.00528788 | + | 0.0107228i | ||||
\(204\) | −4.98752 | − | 11.6168i | −0.349196 | − | 0.813338i | ||||
\(205\) | −1.36654 | − | 4.02570i | −0.0954433 | − | 0.281167i | ||||
\(206\) | −0.0442120 | + | 1.76310i | −0.00308040 | + | 0.122841i | ||||
\(207\) | −17.9160 | − | 10.4620i | −1.24525 | − | 0.727161i | ||||
\(208\) | −4.98477 | + | 16.3086i | −0.345631 | + | 1.13080i | ||||
\(209\) | −1.05794 | + | 3.94827i | −0.0731789 | + | 0.273108i | ||||
\(210\) | 0.00823426 | + | 0.0793814i | 0.000568218 | + | 0.00547784i | ||||
\(211\) | 9.64218 | + | 8.45597i | 0.663795 | + | 0.582133i | 0.923520 | − | 0.383550i | \(-0.125299\pi\) |
−0.259725 | + | 0.965683i | \(0.583632\pi\) | |||||||
\(212\) | −6.71325 | + | 16.9359i | −0.461068 | + | 1.16316i | ||||
\(213\) | 0.625339 | − | 3.10374i | 0.0428475 | − | 0.212665i | ||||
\(214\) | −0.736427 | − | 0.386411i | −0.0503411 | − | 0.0264145i | ||||
\(215\) | 18.9362 | + | 7.84361i | 1.29143 | + | 0.534930i | ||||
\(216\) | 1.66792 | + | 14.6020i | 0.113488 | + | 0.993539i | ||||
\(217\) | 0.104265 | − | 0.0431879i | 0.00707796 | − | 0.00293179i | ||||
\(218\) | 1.35600 | − | 14.9390i | 0.0918400 | − | 1.01180i | ||||
\(219\) | 8.22962 | − | 5.46952i | 0.556106 | − | 0.369596i | ||||
\(220\) | −0.636714 | + | 3.47843i | −0.0429272 | + | 0.234516i | ||||
\(221\) | 15.5258 | − | 1.01761i | 1.04438 | − | 0.0684520i | ||||
\(222\) | 2.75363 | − | 9.24991i | 0.184811 | − | 0.620813i | ||||
\(223\) | −11.1080 | + | 6.41319i | −0.743844 | + | 0.429459i | −0.823465 | − | 0.567366i | \(-0.807962\pi\) |
0.0796210 | + | 0.996825i | \(0.474629\pi\) | |||||||
\(224\) | −0.0143309 | + | 0.113722i | −0.000957522 | + | 0.00759840i | ||||
\(225\) | −1.90924 | + | 6.98726i | −0.127283 | + | 0.465817i | ||||
\(226\) | −10.3075 | − | 26.7633i | −0.685647 | − | 1.78027i | ||||
\(227\) | 11.5835 | − | 23.4890i | 0.768824 | − | 1.55902i | −0.0591470 | − | 0.998249i | \(-0.518838\pi\) |
0.827971 | − | 0.560771i | \(-0.189495\pi\) | |||||||
\(228\) | 7.01608 | − | 10.7979i | 0.464651 | − | 0.715108i | ||||
\(229\) | −4.75267 | − | 1.61332i | −0.314065 | − | 0.106611i | 0.159956 | − | 0.987124i | \(-0.448865\pi\) |
−0.474021 | + | 0.880513i | \(0.657198\pi\) | |||||||
\(230\) | 6.59974 | + | 14.2743i | 0.435174 | + | 0.941219i | ||||
\(231\) | 0.0373008 | − | 0.00989611i | 0.00245421 | − | 0.000651116i | ||||
\(232\) | 3.33368 | − | 23.5432i | 0.218867 | − | 1.54569i | ||||
\(233\) | 13.0510 | + | 5.40589i | 0.854998 | + | 0.354152i | 0.766749 | − | 0.641947i | \(-0.221873\pi\) |
0.0882486 | + | 0.996098i | \(0.471873\pi\) | |||||||
\(234\) | −17.6265 | − | 4.05944i | −1.15228 | − | 0.265374i | ||||
\(235\) | 1.31450 | + | 0.878323i | 0.0857488 | + | 0.0572955i | ||||
\(236\) | 1.56905 | − | 13.5135i | 0.102137 | − | 0.879656i | ||||
\(237\) | −7.59972 | − | 8.70908i | −0.493655 | − | 0.565716i | ||||
\(238\) | 0.101661 | − | 0.0245259i | 0.00658971 | − | 0.00158978i | ||||
\(239\) | −6.78175 | + | 1.81716i | −0.438675 | + | 0.117543i | −0.471395 | − | 0.881922i | \(-0.656250\pi\) |
0.0327206 | + | 0.999465i | \(0.489583\pi\) | |||||||
\(240\) | 5.29640 | − | 9.80069i | 0.341881 | − | 0.632632i | ||||
\(241\) | −1.18583 | − | 0.317742i | −0.0763861 | − | 0.0204676i | 0.220424 | − | 0.975404i | \(-0.429256\pi\) |
−0.296810 | + | 0.954937i | \(0.595923\pi\) | |||||||
\(242\) | −13.8420 | − | 0.347108i | −0.889800 | − | 0.0223129i | ||||
\(243\) | −15.3253 | + | 2.85227i | −0.983118 | + | 0.182973i | ||||
\(244\) | −19.4718 | − | 4.89926i | −1.24655 | − | 0.313643i | ||||
\(245\) | 11.2310 | + | 0.736116i | 0.717519 | + | 0.0470287i | ||||
\(246\) | 6.38419 | − | 1.08807i | 0.407041 | − | 0.0693731i | ||||
\(247\) | 9.64777 | + | 12.5732i | 0.613873 | + | 0.800015i | ||||
\(248\) | −15.4200 | − | 3.22405i | −0.979171 | − | 0.204727i | ||||
\(249\) | 5.44438 | + | 1.47323i | 0.345024 | + | 0.0933620i | ||||
\(250\) | 12.9511 | − | 10.7956i | 0.819098 | − | 0.682775i | ||||
\(251\) | 16.1214 | − | 3.20675i | 1.01758 | − | 0.202408i | 0.342001 | − | 0.939700i | \(-0.388896\pi\) |
0.675575 | + | 0.737291i | \(0.263896\pi\) | |||||||
\(252\) | −0.121390 | − | 0.00669271i | −0.00764688 | − | 0.000421601i | ||||
\(253\) | 6.32287 | − | 4.22481i | 0.397516 | − | 0.265611i | ||||
\(254\) | 6.85736 | − | 0.728427i | 0.430269 | − | 0.0457055i | ||||
\(255\) | −10.0738 | − | 1.35154i | −0.630846 | − | 0.0846368i | ||||
\(256\) | 10.6002 | − | 11.9848i | 0.662512 | − | 0.749051i | ||||
\(257\) | 0.313533 | − | 0.543055i | 0.0195576 | − | 0.0338748i | −0.856081 | − | 0.516842i | \(-0.827108\pi\) |
0.875639 | + | 0.482967i | \(0.160441\pi\) | |||||||
\(258\) | −16.3502 | + | 26.5999i | −1.01792 | + | 1.65604i | ||||
\(259\) | 0.0716017 | + | 0.0353100i | 0.00444911 | + | 0.00219406i | ||||
\(260\) | 9.19676 | + | 10.1686i | 0.570359 | + | 0.630630i | ||||
\(261\) | 25.1580 | + | 1.77369i | 1.55724 | + | 0.109789i | ||||
\(262\) | 2.93259 | + | 16.9540i | 0.181176 | + | 1.04742i | ||||
\(263\) | −16.0646 | + | 20.9358i | −0.990584 | + | 1.29095i | −0.0340236 | + | 0.999421i | \(0.510832\pi\) |
−0.956561 | + | 0.291533i | \(0.905835\pi\) | |||||||
\(264\) | −5.07948 | − | 1.79383i | −0.312620 | − | 0.110403i | ||||
\(265\) | 8.91643 | + | 11.6201i | 0.547732 | + | 0.713818i | ||||
\(266\) | 0.0783009 | + | 0.0722197i | 0.00480094 | + | 0.00442808i | ||||
\(267\) | 9.98006 | + | 2.01077i | 0.610770 | + | 0.123057i | ||||
\(268\) | 4.78320 | + | 16.8171i | 0.292180 | + | 1.02727i | ||||
\(269\) | 5.04585 | + | 1.00368i | 0.307651 | + | 0.0611956i | 0.346501 | − | 0.938049i | \(-0.387370\pi\) |
−0.0388504 | + | 0.999245i | \(0.512370\pi\) | |||||||
\(270\) | 10.7640 | + | 4.87387i | 0.655077 | + | 0.296614i | ||||
\(271\) | 10.3748 | − | 10.3748i | 0.630225 | − | 0.630225i | −0.317900 | − | 0.948124i | \(-0.602978\pi\) |
0.948124 | + | 0.317900i | \(0.102978\pi\) | |||||||
\(272\) | −13.6514 | − | 5.17094i | −0.827739 | − | 0.313534i | ||||
\(273\) | 0.0576001 | − | 0.138094i | 0.00348612 | − | 0.00835783i | ||||
\(274\) | −9.02103 | + | 2.17634i | −0.544980 | + | 0.131477i | ||||
\(275\) | −1.99610 | − | 1.75053i | −0.120369 | − | 0.105561i | ||||
\(276\) | −23.0587 | + | 6.49700i | −1.38797 | + | 0.391073i | ||||
\(277\) | 1.40847 | − | 21.4890i | 0.0846265 | − | 1.29115i | −0.718577 | − | 0.695447i | \(-0.755206\pi\) |
0.803204 | − | 0.595704i | \(-0.203127\pi\) | |||||||
\(278\) | 2.88280 | + | 4.55775i | 0.172899 | + | 0.273356i | ||||
\(279\) | 2.26271 | − | 16.5551i | 0.135465 | − | 0.991130i | ||||
\(280\) | 0.0725591 | + | 0.0568107i | 0.00433624 | + | 0.00339509i | ||||
\(281\) | 10.8179 | + | 8.30086i | 0.645341 | + | 0.495188i | 0.878807 | − | 0.477177i | \(-0.158340\pi\) |
−0.233466 | + | 0.972365i | \(0.575007\pi\) | |||||||
\(282\) | −1.63718 | + | 1.76627i | −0.0974926 | + | 0.105180i | ||||
\(283\) | −11.5397 | − | 3.91719i | −0.685961 | − | 0.232853i | −0.0433672 | − | 0.999059i | \(-0.513809\pi\) |
−0.642594 | + | 0.766207i | \(0.722142\pi\) | |||||||
\(284\) | −2.07741 | − | 3.00833i | −0.123271 | − | 0.178512i | ||||
\(285\) | −4.55606 | − | 9.29653i | −0.269877 | − | 0.550679i | ||||
\(286\) | 4.16657 | − | 5.15697i | 0.246374 | − | 0.304938i | ||||
\(287\) | 0.0535723i | 0.00316227i | ||||||||
\(288\) | 13.4699 | + | 10.3228i | 0.793724 | + | 0.608279i | ||||
\(289\) | − | 3.68124i | − | 0.216544i | ||||||
\(290\) | −14.8701 | − | 12.0143i | −0.873202 | − | 0.705503i | ||||
\(291\) | −5.70823 | − | 0.388287i | −0.334622 | − | 0.0227618i | ||||
\(292\) | 2.05443 | − | 11.2236i | 0.120227 | − | 0.656811i | ||||
\(293\) | 9.65683 | + | 3.27805i | 0.564158 | + | 0.191506i | 0.588925 | − | 0.808187i | \(-0.299551\pi\) |
−0.0247675 | + | 0.999693i | \(0.507885\pi\) | |||||||
\(294\) | −3.80667 | + | 16.7175i | −0.222010 | + | 0.974984i | ||||
\(295\) | −8.67737 | − | 6.65838i | −0.505216 | − | 0.387666i | ||||
\(296\) | −5.47756 | − | 9.70502i | −0.318377 | − | 0.564093i | ||||
\(297\) | 1.51963 | − | 5.50791i | 0.0881781 | − | 0.319601i | ||||
\(298\) | 18.6966 | − | 11.8257i | 1.08306 | − | 0.685042i | ||||
\(299\) | 1.92834 | − | 29.4208i | 0.111519 | − | 1.70145i | ||||
\(300\) | 4.27464 | + | 7.18912i | 0.246796 | + | 0.415064i | ||||
\(301\) | −0.194187 | − | 0.170297i | −0.0111927 | − | 0.00981576i | ||||
\(302\) | 4.50252 | + | 18.6632i | 0.259091 | + | 1.07394i | ||||
\(303\) | 23.0442 | − | 2.97599i | 1.32386 | − | 0.170966i | ||||
\(304\) | −3.34589 | − | 14.4879i | −0.191900 | − | 0.830936i | ||||
\(305\) | −11.4147 | + | 11.4147i | −0.653604 | + | 0.653604i | ||||
\(306\) | 4.45432 | − | 14.8289i | 0.254637 | − | 0.847713i | ||||
\(307\) | 26.2133 | + | 5.21415i | 1.49607 | + | 0.297587i | 0.874214 | − | 0.485542i | \(-0.161378\pi\) |
0.621859 | + | 0.783129i | \(0.286378\pi\) | |||||||
\(308\) | 0.0216873 | − | 0.0389277i | 0.00123575 | − | 0.00221811i | ||||
\(309\) | −1.42821 | + | 1.62047i | −0.0812478 | + | 0.0921854i | ||||
\(310\) | −8.58699 | + | 9.31005i | −0.487709 | + | 0.528775i | ||||
\(311\) | 2.07507 | + | 2.70429i | 0.117667 | + | 0.153346i | 0.848473 | − | 0.529239i | \(-0.177522\pi\) |
−0.730806 | + | 0.682585i | \(0.760856\pi\) | |||||||
\(312\) | −17.5068 | + | 11.3904i | −0.991127 | + | 0.644856i | ||||
\(313\) | 16.6740 | − | 21.7300i | 0.942471 | − | 1.22825i | −0.0310185 | − | 0.999519i | \(-0.509875\pi\) |
0.973489 | − | 0.228733i | \(-0.0734582\pi\) | |||||||
\(314\) | 22.1169 | − | 3.82562i | 1.24813 | − | 0.215892i | ||||
\(315\) | −0.0547039 | + | 0.0810018i | −0.00308222 | + | 0.00456394i | ||||
\(316\) | −13.3301 | − | 0.668960i | −0.749876 | − | 0.0376320i | ||||
\(317\) | −10.5525 | − | 5.20390i | −0.592686 | − | 0.292280i | 0.121104 | − | 0.992640i | \(-0.461356\pi\) |
−0.713790 | + | 0.700359i | \(0.753023\pi\) | |||||||
\(318\) | −19.6229 | + | 10.6199i | −1.10040 | + | 0.595532i | ||||
\(319\) | −4.62207 | + | 8.00567i | −0.258786 | + | 0.448231i | ||||
\(320\) | −3.89626 | − | 12.2594i | −0.217808 | − | 0.685322i | ||||
\(321\) | −0.387461 | − | 0.941983i | −0.0216260 | − | 0.0525764i | ||||
\(322\) | −0.0209330 | − | 0.197062i | −0.00116655 | − | 0.0109819i | ||||
\(323\) | −11.2799 | + | 7.53700i | −0.627632 | + | 0.419370i | ||||
\(324\) | −9.91876 | + | 15.0206i | −0.551042 | + | 0.834477i | ||||
\(325\) | −10.0960 | + | 2.00821i | −0.560023 | + | 0.111395i | ||||
\(326\) | 7.94111 | + | 9.52664i | 0.439818 | + | 0.527632i | ||||
\(327\) | 13.0228 | − | 12.9587i | 0.720162 | − | 0.716616i | ||||
\(328\) | 4.21514 | − | 6.17698i | 0.232742 | − | 0.341067i | ||||
\(329\) | −0.0121277 | − | 0.0158052i | −0.000668624 | − | 0.000871368i | ||||
\(330\) | −3.33360 | + | 2.76487i | −0.183508 | + | 0.152201i | ||||
\(331\) | 12.7056 | + | 0.832770i | 0.698364 | + | 0.0457732i | 0.410450 | − | 0.911883i | \(-0.365372\pi\) |
0.287914 | + | 0.957656i | \(0.407038\pi\) | |||||||
\(332\) | 5.58968 | − | 3.34232i | 0.306774 | − | 0.183433i | ||||
\(333\) | 9.86035 | − | 6.51831i | 0.540344 | − | 0.357201i | ||||
\(334\) | −0.171747 | + | 6.84896i | −0.00939758 | + | 0.374759i | ||||
\(335\) | 13.5779 | + | 3.63818i | 0.741839 | + | 0.198775i | ||||
\(336\) | −0.102898 | + | 0.0954944i | −0.00561356 | + | 0.00520964i | ||||
\(337\) | −0.372003 | + | 0.0996778i | −0.0202643 | + | 0.00542980i | −0.268937 | − | 0.963158i | \(-0.586672\pi\) |
0.248673 | + | 0.968588i | \(0.420006\pi\) | |||||||
\(338\) | −1.71678 | − | 7.11614i | −0.0933806 | − | 0.387067i | ||||
\(339\) | 11.3727 | − | 33.2331i | 0.617679 | − | 1.80498i | ||||
\(340\) | −9.20070 | + | 7.28639i | −0.498978 | + | 0.395160i | ||||
\(341\) | 5.09228 | + | 3.40255i | 0.275762 | + | 0.184258i | ||||
\(342\) | 15.0796 | − | 4.61914i | 0.815410 | − | 0.249774i | ||||
\(343\) | −0.262073 | − | 0.108554i | −0.0141506 | − | 0.00586138i | ||||
\(344\) | 8.99086 | + | 34.9144i | 0.484755 | + | 1.88246i | ||||
\(345\) | −5.03089 | + | 18.5919i | −0.270854 | + | 1.00095i | ||||
\(346\) | −3.14169 | + | 1.45257i | −0.168898 | + | 0.0780904i | ||||
\(347\) | −2.33488 | − | 0.792584i | −0.125343 | − | 0.0425481i | 0.258063 | − | 0.966128i | \(-0.416916\pi\) |
−0.383406 | + | 0.923580i | \(0.625249\pi\) | |||||||
\(348\) | 21.6468 | − | 19.4811i | 1.16039 | − | 1.04429i | ||||
\(349\) | 3.43184 | − | 6.95907i | 0.183702 | − | 0.372511i | −0.785469 | − | 0.618901i | \(-0.787578\pi\) |
0.969171 | + | 0.246391i | \(0.0792447\pi\) | |||||||
\(350\) | −0.0645648 | + | 0.0248663i | −0.00345113 | + | 0.00132916i | ||||
\(351\) | −13.3554 | − | 17.6746i | −0.712861 | − | 0.943399i | ||||
\(352\) | −5.56346 | + | 2.78205i | −0.296534 | + | 0.148284i | ||||
\(353\) | −19.0243 | + | 10.9837i | −1.01256 | + | 0.584603i | −0.911941 | − | 0.410321i | \(-0.865417\pi\) |
−0.100622 | + | 0.994925i | \(0.532083\pi\) | |||||||
\(354\) | 12.1016 | − | 11.4528i | 0.643194 | − | 0.608710i | ||||
\(355\) | −2.93298 | + | 0.192238i | −0.155667 | + | 0.0102029i | ||||
\(356\) | 9.67327 | − | 6.67989i | 0.512682 | − | 0.354033i | ||||
\(357\) | 0.114732 | + | 0.0569321i | 0.00607227 | + | 0.00301317i | ||||
\(358\) | 10.9512 | + | 0.994032i | 0.578790 | + | 0.0525362i | ||||
\(359\) | −15.2792 | + | 6.32885i | −0.806405 | + | 0.334024i | −0.747519 | − | 0.664241i | \(-0.768755\pi\) |
−0.0588866 | + | 0.998265i | \(0.518755\pi\) | |||||||
\(360\) | 12.6808 | − | 5.03548i | 0.668336 | − | 0.265393i | ||||
\(361\) | 4.78723 | + | 1.98294i | 0.251960 | + | 0.104365i | ||||
\(362\) | −13.2054 | + | 25.1670i | −0.694060 | + | 1.32275i | ||||
\(363\) | −12.7223 | − | 11.2128i | −0.667747 | − | 0.588520i | ||||
\(364\) | −0.0685527 | − | 0.158590i | −0.00359314 | − | 0.00831238i | ||||
\(365\) | −6.89697 | − | 6.04848i | −0.361004 | − | 0.316592i | ||||
\(366\) | −14.4273 | − | 19.9144i | −0.754128 | − | 1.04094i | ||||
\(367\) | 2.66785 | − | 9.95654i | 0.139261 | − | 0.519727i | −0.860683 | − | 0.509140i | \(-0.829963\pi\) |
0.999944 | − | 0.0105869i | \(-0.00336997\pi\) | |||||||
\(368\) | −13.0915 | + | 24.3687i | −0.682441 | + | 1.27030i | ||||
\(369\) | 6.84944 | + | 3.99973i | 0.356568 | + | 0.208218i | ||||
\(370\) | −8.95681 | − | 0.224604i | −0.465642 | − | 0.0116766i | ||||
\(371\) | −0.0593281 | − | 0.174775i | −0.00308016 | − | 0.00907387i | ||||
\(372\) | −11.9410 | − | 15.1549i | −0.619111 | − | 0.785743i | ||||
\(373\) | 13.8293 | + | 28.0431i | 0.716055 | + | 1.45202i | 0.884614 | + | 0.466324i | \(0.154422\pi\) |
−0.168559 | + | 0.985692i | \(0.553911\pi\) | |||||||
\(374\) | 4.17170 | + | 3.84771i | 0.215714 | + | 0.198961i | ||||
\(375\) | 20.6497 | + | 0.0509614i | 1.06635 | + | 0.00263163i | ||||
\(376\) | 0.154778 | + | 2.77659i | 0.00798208 | + | 0.143192i | ||||
\(377\) | 13.7159 | + | 33.1130i | 0.706403 | + | 1.70541i | ||||
\(378\) | −0.108701 | − | 0.101758i | −0.00559097 | − | 0.00523389i | ||||
\(379\) | 26.8584 | − | 5.34246i | 1.37962 | − | 0.274424i | 0.551128 | − | 0.834421i | \(-0.314198\pi\) |
0.828495 | + | 0.559997i | \(0.189198\pi\) | |||||||
\(380\) | −11.3776 | − | 3.66893i | −0.583659 | − | 0.188212i | ||||
\(381\) | 7.01080 | + | 4.70954i | 0.359174 | + | 0.241277i | ||||
\(382\) | −10.7508 | − | 14.7628i | −0.550060 | − | 0.755330i | ||||
\(383\) | −13.3465 | + | 23.1168i | −0.681975 | + | 1.18122i | 0.292402 | + | 0.956295i | \(0.405545\pi\) |
−0.974377 | + | 0.224920i | \(0.927788\pi\) | |||||||
\(384\) | 19.3780 | − | 2.91450i | 0.988878 | − | 0.148730i | ||||
\(385\) | −0.0179132 | − | 0.0310265i | −0.000912939 | − | 0.00158126i | ||||
\(386\) | −11.1458 | + | 25.1088i | −0.567307 | + | 1.27800i | ||||
\(387\) | −36.2712 | + | 12.1131i | −1.84377 | + | 0.615744i | ||||
\(388\) | −4.89979 | + | 4.43151i | −0.248749 | + | 0.224976i | ||||
\(389\) | −12.8566 | − | 14.6601i | −0.651854 | − | 0.743297i | 0.327633 | − | 0.944805i | \(-0.393749\pi\) |
−0.979487 | + | 0.201508i | \(0.935416\pi\) | |||||||
\(390\) | 0.636447 | + | 16.7799i | 0.0322277 | + | 0.849685i | ||||
\(391\) | 25.0227 | + | 3.29429i | 1.26545 | + | 0.166600i | ||||
\(392\) | 10.8378 | + | 16.5679i | 0.547394 | + | 0.836805i | ||||
\(393\) | −10.5814 | + | 18.2234i | −0.533759 | + | 0.919251i | ||||
\(394\) | 22.1037 | − | 6.89025i | 1.11357 | − | 0.347126i | ||||
\(395\) | −5.96160 | + | 8.92216i | −0.299961 | + | 0.448923i | ||||
\(396\) | −3.35789 | − | 5.67917i | −0.168740 | − | 0.285389i | ||||
\(397\) | 30.3691 | + | 6.04079i | 1.52418 | + | 0.303179i | 0.884895 | − | 0.465790i | \(-0.154230\pi\) |
0.639286 | + | 0.768969i | \(0.279230\pi\) | |||||||
\(398\) | 4.69167 | + | 8.61817i | 0.235172 | + | 0.431990i | ||||
\(399\) | 0.0167093 | + | 0.129387i | 0.000836512 | + | 0.00647743i | ||||
\(400\) | 9.40094 | + | 2.21291i | 0.470047 | + | 0.110646i | ||||
\(401\) | −7.77868 | + | 2.08429i | −0.388448 | + | 0.104084i | −0.447757 | − | 0.894155i | \(-0.647777\pi\) |
0.0593086 | + | 0.998240i | \(0.481110\pi\) | |||||||
\(402\) | −8.73626 | + | 19.5504i | −0.435725 | + | 0.975085i | ||||
\(403\) | 22.4854 | − | 7.63276i | 1.12008 | − | 0.380215i | ||||
\(404\) | 16.0054 | − | 21.5333i | 0.796299 | − | 1.07132i | ||||
\(405\) | 6.27220 | + | 13.0418i | 0.311668 | + | 0.648050i | ||||
\(406\) | 0.128774 | + | 0.203594i | 0.00639096 | + | 0.0101042i | ||||
\(407\) | 0.565500 | + | 4.29540i | 0.0280308 | + | 0.212915i | ||||
\(408\) | −8.74933 | − | 15.5916i | −0.433157 | − | 0.771901i | ||||
\(409\) | 5.11453 | − | 38.8487i | 0.252897 | − | 1.92094i | −0.119429 | − | 0.992843i | \(-0.538106\pi\) |
0.372326 | − | 0.928102i | \(-0.378560\pi\) | |||||||
\(410\) | −2.52315 | − | 5.45720i | −0.124609 | − | 0.269512i | ||||
\(411\) | −10.1809 | − | 5.05194i | −0.502187 | − | 0.249194i | ||||
\(412\) | 0.201205 | + | 2.48605i | 0.00991265 | + | 0.122479i | ||||
\(413\) | 0.0765734 | + | 0.114600i | 0.00376793 | + | 0.00563911i | ||||
\(414\) | −26.7581 | − | 12.0364i | −1.31509 | − | 0.591556i | ||||
\(415\) | − | 5.23610i | − | 0.257030i | ||||||
\(416\) | −4.57382 | + | 23.6795i | −0.224250 | + | 1.16098i | ||||
\(417\) | −0.878277 | + | 6.54630i | −0.0430094 | + | 0.320573i | ||||
\(418\) | −0.897964 | + | 5.71050i | −0.0439209 | + | 0.279310i | ||||
\(419\) | −36.8538 | + | 2.41552i | −1.80042 | + | 0.118006i | −0.928430 | − | 0.371508i | \(-0.878841\pi\) |
−0.871995 | + | 0.489514i | \(0.837174\pi\) | |||||||
\(420\) | 0.0234382 | + | 0.110404i | 0.00114367 | + | 0.00538717i | ||||
\(421\) | −11.6665 | + | 10.2313i | −0.568592 | + | 0.498642i | −0.894686 | − | 0.446695i | \(-0.852601\pi\) |
0.326094 | + | 0.945337i | \(0.394267\pi\) | |||||||
\(422\) | 14.8230 | + | 10.4512i | 0.721573 | + | 0.508759i | ||||
\(423\) | −2.92622 | + | 0.370560i | −0.142278 | + | 0.0180173i | ||||
\(424\) | −6.91088 | + | 24.8199i | −0.335622 | + | 1.20536i | ||||
\(425\) | −1.15014 | − | 8.73619i | −0.0557900 | − | 0.423767i | ||||
\(426\) | 0.415763 | − | 4.45821i | 0.0201438 | − | 0.216001i | ||||
\(427\) | 0.182443 | − | 0.0899711i | 0.00882905 | − | 0.00435401i | ||||
\(428\) | −1.09336 | − | 0.433399i | −0.0528497 | − | 0.0209492i | ||||
\(429\) | 7.96771 | − | 1.56444i | 0.384685 | − | 0.0755321i | ||||
\(430\) | 27.8017 | + | 8.20171i | 1.34072 | + | 0.395521i | ||||
\(431\) | −17.9480 | − | 17.9480i | −0.864524 | − | 0.864524i | 0.127336 | − | 0.991860i | \(-0.459357\pi\) |
−0.991860 | + | 0.127336i | \(0.959357\pi\) | |||||||
\(432\) | 4.52692 | + | 20.2856i | 0.217801 | + | 0.975993i | ||||
\(433\) | 7.96022 | − | 7.96022i | 0.382544 | − | 0.382544i | −0.489474 | − | 0.872018i | \(-0.662811\pi\) |
0.872018 | + | 0.489474i | \(0.162811\pi\) | |||||||
\(434\) | 0.140176 | − | 0.0763109i | 0.00672868 | − | 0.00366304i | ||||
\(435\) | −4.51107 | − | 22.9749i | −0.216289 | − | 1.10156i | ||||
\(436\) | −0.324721 | − | 21.2114i | −0.0155513 | − | 1.01584i | ||||
\(437\) | 11.3702 | + | 23.0564i | 0.543909 | + | 1.10294i | ||||
\(438\) | 10.7563 | − | 8.92118i | 0.513954 | − | 0.426271i | ||||
\(439\) | −27.5910 | + | 3.63243i | −1.31685 | + | 0.173366i | −0.756010 | − | 0.654560i | \(-0.772854\pi\) |
−0.560838 | + | 0.827926i | \(0.689521\pi\) | |||||||
\(440\) | −0.375786 | + | 4.98684i | −0.0179149 | + | 0.237738i | ||||
\(441\) | −16.7223 | + | 12.7009i | −0.796302 | + | 0.604803i | ||||
\(442\) | 21.6819 | − | 3.75039i | 1.03130 | − | 0.178388i | ||||
\(443\) | −4.97675 | − | 5.67490i | −0.236453 | − | 0.269623i | 0.621428 | − | 0.783471i | \(-0.286553\pi\) |
−0.857881 | + | 0.513848i | \(0.828219\pi\) | |||||||
\(444\) | 2.49063 | − | 13.4195i | 0.118200 | − | 0.636862i | ||||
\(445\) | −0.618140 | − | 9.43099i | −0.0293026 | − | 0.447072i | ||||
\(446\) | −14.6631 | + | 10.6782i | −0.694319 | + | 0.505629i | ||||
\(447\) | 26.8539 | + | 3.60282i | 1.27014 | + | 0.170408i | ||||
\(448\) | −0.00316510 | + | 0.162069i | −0.000149537 | + | 0.00765703i | ||||
\(449\) | 11.7046 | 0.552373 | 0.276186 | − | 0.961104i | \(-0.410929\pi\) | ||||
0.276186 | + | 0.961104i | \(0.410929\pi\) | |||||||
\(450\) | −1.64118 | + | 10.1114i | −0.0773659 | + | 0.476656i | ||||
\(451\) | −2.41730 | + | 1.61519i | −0.113826 | + | 0.0760561i | ||||
\(452\) | −18.4935 | − | 36.0975i | −0.869862 | − | 1.69788i | ||||
\(453\) | −10.4517 | + | 21.0628i | −0.491064 | + | 0.989616i | ||||
\(454\) | 12.7810 | − | 34.7630i | 0.599841 | − | 1.63151i | ||||
\(455\) | −0.137717 | − | 0.0181308i | −0.00645627 | − | 0.000849985i | ||||
\(456\) | 8.25368 | − | 16.2332i | 0.386514 | − | 0.760189i | ||||
\(457\) | −12.5181 | + | 1.64804i | −0.585573 | + | 0.0770921i | −0.417491 | − | 0.908681i | \(-0.637090\pi\) |
−0.168081 | + | 0.985773i | \(0.553757\pi\) | |||||||
\(458\) | −6.92470 | − | 1.55883i | −0.323570 | − | 0.0728393i | ||||
\(459\) | 15.8450 | − | 10.4184i | 0.739580 | − | 0.486290i | ||||
\(460\) | 11.4136 | + | 19.0881i | 0.532162 | + | 0.889986i | ||||
\(461\) | 9.81915 | + | 28.9263i | 0.457323 | + | 1.34723i | 0.894183 | + | 0.447701i | \(0.147757\pi\) |
−0.436860 | + | 0.899530i | \(0.643909\pi\) | |||||||
\(462\) | 0.0509778 | − | 0.0194891i | 0.00237170 | − | 0.000906714i | ||||
\(463\) | −10.8564 | − | 40.5168i | −0.504542 | − | 1.88298i | −0.468172 | − | 0.883637i | \(-0.655087\pi\) |
−0.0363701 | − | 0.999338i | \(-0.511580\pi\) | |||||||
\(464\) | 1.17115 | − | 33.6069i | 0.0543695 | − | 1.56016i | ||||
\(465\) | −15.3842 | + | 1.98675i | −0.713424 | + | 0.0921335i | ||||
\(466\) | 19.1612 | + | 5.65269i | 0.887624 | + | 0.261856i | ||||
\(467\) | 1.82968 | − | 9.19844i | 0.0846677 | − | 0.425653i | −0.915082 | − | 0.403268i | \(-0.867874\pi\) |
0.999749 | − | 0.0223848i | \(-0.00712589\pi\) | |||||||
\(468\) | −25.3946 | − | 3.07566i | −1.17386 | − | 0.142172i | ||||
\(469\) | −0.147283 | − | 0.0984112i | −0.00680088 | − | 0.00454421i | ||||
\(470\) | 1.97980 | + | 1.03882i | 0.0913212 | + | 0.0479172i | ||||
\(471\) | 23.7728 | + | 13.8036i | 1.09539 | + | 0.636035i | ||||
\(472\) | 0.187840 | − | 19.2385i | 0.00864604 | − | 0.885523i | ||||
\(473\) | 1.82951 | − | 13.8965i | 0.0841209 | − | 0.638962i | ||||
\(474\) | −11.9885 | − | 11.1123i | −0.550650 | − | 0.510406i | ||||
\(475\) | 6.74800 | − | 5.91783i | 0.309619 | − | 0.271529i | ||||
\(476\) | 0.139302 | − | 0.0496775i | 0.00638491 | − | 0.00227696i | ||||
\(477\) | −26.7752 | − | 5.46344i | −1.22595 | − | 0.250154i | ||||
\(478\) | −9.26573 | + | 3.56857i | −0.423804 | + | 0.163223i | ||||
\(479\) | −1.63404 | + | 0.943414i | −0.0746612 | + | 0.0431057i | −0.536866 | − | 0.843668i | \(-0.680392\pi\) |
0.462205 | + | 0.886773i | \(0.347059\pi\) | |||||||
\(480\) | 5.98426 | − | 14.5739i | 0.273143 | − | 0.665206i | ||||
\(481\) | 14.5473 | + | 8.39889i | 0.663300 | + | 0.382956i | ||||
\(482\) | −1.71510 | − | 0.269696i | −0.0781208 | − | 0.0122843i | ||||
\(483\) | 0.135339 | − | 0.201472i | 0.00615816 | − | 0.00916728i | ||||
\(484\) | −19.5179 | + | 1.57966i | −0.887179 | + | 0.0718025i | ||||
\(485\) | 1.03622 | + | 5.20945i | 0.0470525 | + | 0.236549i | ||||
\(486\) | −21.1259 | + | 6.30053i | −0.958290 | + | 0.285798i | ||||
\(487\) | −26.5599 | + | 11.0015i | −1.20354 | + | 0.498524i | −0.892142 | − | 0.451754i | \(-0.850798\pi\) |
−0.311401 | + | 0.950278i | \(0.600798\pi\) | |||||||
\(488\) | −28.1151 | − | 3.98104i | −1.27271 | − | 0.180213i | ||||
\(489\) | −0.0374865 | + | 15.1897i | −0.00169520 | + | 0.686900i | ||||
\(490\) | 15.9041 | − | 0.642536i | 0.718473 | − | 0.0290268i | ||||
\(491\) | 27.1809 | − | 13.4041i | 1.22666 | − | 0.604920i | 0.290625 | − | 0.956837i | \(-0.406137\pi\) |
0.936031 | + | 0.351917i | \(0.114470\pi\) | |||||||
\(492\) | 8.81556 | − | 2.48386i | 0.397436 | − | 0.111981i | ||||
\(493\) | −29.0524 | + | 9.86195i | −1.30845 | + | 0.444160i | ||||
\(494\) | 15.4459 | + | 16.2405i | 0.694945 | + | 0.730695i | ||||
\(495\) | −5.30427 | − | 0.0261810i | −0.238409 | − | 0.00117675i | ||||
\(496\) | −22.1668 | − | 2.23047i | −0.995319 | − | 0.100151i | ||||
\(497\) | 0.0357768 | + | 0.00958637i | 0.00160481 | + | 0.000430007i | ||||
\(498\) | 7.87652 | + | 1.25849i | 0.352955 | + | 0.0563945i | ||||
\(499\) | −15.0693 | + | 17.1833i | −0.674595 | + | 0.769228i | −0.983312 | − | 0.181926i | \(-0.941767\pi\) |
0.308717 | + | 0.951154i | \(0.400100\pi\) | |||||||
\(500\) | 16.6004 | − | 17.1166i | 0.742393 | − | 0.765477i | ||||
\(501\) | −5.54804 | + | 6.29492i | −0.247868 | + | 0.281236i | ||||
\(502\) | 22.1925 | − | 6.91796i | 0.990502 | − | 0.308764i | ||||
\(503\) | 10.1606 | − | 24.5299i | 0.453039 | − | 1.09373i | −0.518121 | − | 0.855307i | \(-0.673368\pi\) |
0.971161 | − | 0.238427i | \(-0.0766317\pi\) | |||||||
\(504\) | −0.171711 | + | 0.00872195i | −0.00764863 | + | 0.000388506i | ||||
\(505\) | −8.25482 | − | 19.9289i | −0.367335 | − | 0.886824i | ||||
\(506\) | 8.26074 | − | 6.88590i | 0.367235 | − | 0.306115i | ||||
\(507\) | 3.98517 | − | 8.03110i | 0.176988 | − | 0.356674i | ||||
\(508\) | 9.53471 | − | 2.04877i | 0.423034 | − | 0.0908997i | ||||
\(509\) | 0.434310 | + | 6.62630i | 0.0192505 | + | 0.293705i | 0.996619 | + | 0.0821617i | \(0.0261824\pi\) |
−0.977369 | + | 0.211544i | \(0.932151\pi\) | |||||||
\(510\) | −14.3687 | − | 0.395800i | −0.636257 | − | 0.0175263i | ||||
\(511\) | 0.0577990 | + | 0.100111i | 0.00255688 | + | 0.00442864i | ||||
\(512\) | 13.1167 | − | 18.4378i | 0.579682 | − | 0.814842i | ||||
\(513\) | 17.7901 | + | 7.52370i | 0.785454 | + | 0.332180i | ||||
\(514\) | 0.359797 | − | 0.810536i | 0.0158700 | − | 0.0357512i | ||||
\(515\) | 1.79847 | + | 0.886908i | 0.0792501 | + | 0.0390818i | ||||
\(516\) | −19.0197 | + | 39.8500i | −0.837297 | + | 1.75430i | ||||
\(517\) | 0.347516 | − | 1.02375i | 0.0152837 | − | 0.0450245i | ||||
\(518\) | 0.105968 | + | 0.0389603i | 0.00465598 | + | 0.00171182i | ||||
\(519\) | −4.09197 | − | 1.10727i | −0.179617 | − | 0.0486038i | ||||
\(520\) | 14.4525 | + | 12.9263i | 0.633782 | + | 0.566854i | ||||
\(521\) | −3.26619 | + | 7.88529i | −0.143095 | + | 0.345461i | −0.979136 | − | 0.203205i | \(-0.934864\pi\) |
0.836042 | + | 0.548666i | \(0.184864\pi\) | |||||||
\(522\) | 35.6447 | − | 1.26388i | 1.56013 | − | 0.0553187i | ||||
\(523\) | 18.2188 | − | 27.2664i | 0.796653 | − | 1.19228i | −0.181296 | − | 0.983429i | \(-0.558029\pi\) |
0.977948 | − | 0.208846i | \(-0.0669709\pi\) | |||||||
\(524\) | 6.65679 | + | 23.4044i | 0.290803 | + | 1.02243i | ||||
\(525\) | −0.0801728 | − | 0.0274358i | −0.00349903 | − | 0.00119740i | ||||
\(526\) | −19.4641 | + | 31.8418i | −0.848677 | + | 1.38837i | ||||
\(527\) | 5.26088 | + | 19.6339i | 0.229168 | + | 0.855265i | ||||
\(528\) | −7.41125 | − | 1.76387i | −0.322533 | − | 0.0767626i | ||||
\(529\) | 6.42549 | − | 23.9803i | 0.279369 | − | 1.04262i | ||||
\(530\) | 14.2751 | + | 15.0094i | 0.620069 | + | 0.651967i | ||||
\(531\) | 20.3691 | − | 1.23413i | 0.883945 | − | 0.0535565i | ||||
\(532\) | 0.120903 | + | 0.0898658i | 0.00524182 | + | 0.00389617i | ||||
\(533\) | −0.737222 | + | 11.2478i | −0.0319327 | + | 0.487198i | ||||
\(534\) | 14.3354 | + | 1.33688i | 0.620351 | + | 0.0578526i | ||||
\(535\) | −0.750181 | + | 0.575634i | −0.0324332 | + | 0.0248868i | ||||
\(536\) | 9.23884 | + | 22.9354i | 0.399057 | + | 0.990657i | ||||
\(537\) | 9.49950 | + | 9.54650i | 0.409934 | + | 0.411962i | ||||
\(538\) | 7.24593 | + | 0.657705i | 0.312394 | + | 0.0283557i | ||||
\(539\) | −1.50156 | − | 7.54887i | −0.0646769 | − | 0.325153i | ||||
\(540\) | 15.8655 | + | 5.24615i | 0.682744 | + | 0.225758i | ||||
\(541\) | 14.5950 | + | 21.8430i | 0.627489 | + | 0.939104i | 0.999939 | + | 0.0110517i | \(0.00351793\pi\) |
−0.372450 | + | 0.928052i | \(0.621482\pi\) | |||||||
\(542\) | 13.0403 | − | 16.1399i | 0.560127 | − | 0.693270i | ||||
\(543\) | −32.1918 | + | 13.2413i | −1.38148 | + | 0.568238i | ||||
\(544\) | −19.9705 | − | 5.23258i | −0.856228 | − | 0.224345i | ||||
\(545\) | −14.7705 | − | 8.52774i | −0.632698 | − | 0.365288i | ||||
\(546\) | 0.0603739 | − | 0.202806i | 0.00258376 | − | 0.00867931i | ||||
\(547\) | −15.5818 | + | 31.5968i | −0.666230 | + | 1.35098i | 0.256879 | + | 0.966444i | \(0.417306\pi\) |
−0.923109 | + | 0.384538i | \(0.874361\pi\) | |||||||
\(548\) | −12.3612 | + | 4.40820i | −0.528043 | + | 0.188309i | ||||
\(549\) | 2.11812 | − | 30.0434i | 0.0903993 | − | 1.28222i | ||||
\(550\) | −3.06862 | − | 2.16359i | −0.130846 | − | 0.0922557i | ||||
\(551\) | −24.7928 | − | 19.0242i | −1.05621 | − | 0.810459i | ||||
\(552\) | −31.4569 | + | 12.5814i | −1.33890 | + | 0.535498i | ||||
\(553\) | 0.107277 | − | 0.0823168i | 0.00456190 | − | 0.00350047i | ||||
\(554\) | −1.22941 | − | 30.4305i | −0.0522327 | − | 1.29287i | ||||
\(555\) | −8.23225 | − | 7.25551i | −0.349440 | − | 0.307979i | ||||
\(556\) | 4.73494 | + | 5.97892i | 0.200806 | + | 0.253563i | ||||
\(557\) | −1.15163 | + | 5.78964i | −0.0487962 | + | 0.245315i | −0.997483 | − | 0.0709012i | \(-0.977412\pi\) |
0.948687 | + | 0.316216i | \(0.102412\pi\) | |||||||
\(558\) | 0.708961 | − | 23.6195i | 0.0300127 | − | 0.999894i | ||||
\(559\) | −38.4272 | − | 38.4272i | −1.62530 | − | 1.62530i | ||||
\(560\) | 0.110527 | + | 0.0690537i | 0.00467061 | + | 0.00291805i | ||||
\(561\) | 0.890237 | + | 6.89344i | 0.0375858 | + | 0.291041i | ||||
\(562\) | 16.4532 | + | 10.0575i | 0.694038 | + | 0.424249i | ||||
\(563\) | −27.1860 | + | 30.9997i | −1.14575 | + | 1.30648i | −0.200668 | + | 0.979659i | \(0.564311\pi\) |
−0.945086 | + | 0.326822i | \(0.894022\pi\) | |||||||
\(564\) | −2.03851 | + | 2.72848i | −0.0858369 | + | 0.114890i | ||||
\(565\) | −32.5388 | − | 2.13271i | −1.36892 | − | 0.0897237i | ||||
\(566\) | −16.8134 | − | 3.78489i | −0.706720 | − | 0.159091i | ||||
\(567\) | −0.0220171 | − | 0.181028i | −0.000924632 | − | 0.00760247i | ||||
\(568\) | −3.37086 | − | 3.92029i | −0.141438 | − | 0.164492i | ||||
\(569\) | −20.2296 | + | 26.3637i | −0.848068 | + | 1.10522i | 0.145202 | + | 0.989402i | \(0.453617\pi\) |
−0.993270 | + | 0.115822i | \(0.963050\pi\) | |||||||
\(570\) | −7.79595 | − | 12.3931i | −0.326536 | − | 0.519091i | ||||
\(571\) | −5.02189 | + | 14.7940i | −0.210160 | + | 0.619110i | 0.789824 | + | 0.613334i | \(0.210172\pi\) |
−0.999983 | + | 0.00577632i | \(0.998161\pi\) | |||||||
\(572\) | 5.08908 | − | 7.87467i | 0.212785 | − | 0.329257i | ||||
\(573\) | 1.51794 | − | 22.3154i | 0.0634131 | − | 0.932238i | ||||
\(574\) | 0.00800290 | + | 0.0753388i | 0.000334035 | + | 0.00314458i | ||||
\(575\) | −16.6976 | −0.696339 | ||||||||
\(576\) | 20.4849 | + | 12.5048i | 0.853536 | + | 0.521034i | ||||
\(577\) | −39.9536 | −1.66329 | −0.831644 | − | 0.555308i | \(-0.812600\pi\) | ||||
−0.831644 | + | 0.555308i | \(0.812600\pi\) | |||||||
\(578\) | −0.549922 | − | 5.17694i | −0.0228738 | − | 0.215332i | ||||
\(579\) | −30.2124 | + | 14.8065i | −1.25558 | + | 0.615338i | ||||
\(580\) | −22.7066 | − | 14.6743i | −0.942840 | − | 0.609319i | ||||
\(581\) | −0.0212092 | + | 0.0624803i | −0.000879906 | + | 0.00259212i | ||||
\(582\) | −8.08549 | + | 0.306675i | −0.335155 | + | 0.0127121i | ||||
\(583\) | 6.09750 | − | 7.94641i | 0.252532 | − | 0.329107i | ||||
\(584\) | 1.21252 | − | 16.0907i | 0.0501744 | − | 0.665836i | ||||
\(585\) | −12.6001 | + | 16.2540i | −0.520951 | + | 0.672022i | ||||
\(586\) | 14.0701 | + | 3.16734i | 0.581231 | + | 0.130842i | ||||
\(587\) | −43.2032 | − | 2.83169i | −1.78319 | − | 0.116876i | −0.862225 | − | 0.506525i | \(-0.830930\pi\) |
−0.920963 | + | 0.389649i | \(0.872596\pi\) | |||||||
\(588\) | −2.85599 | + | 24.0785i | −0.117779 | + | 0.992981i | ||||
\(589\) | −13.6512 | + | 15.5662i | −0.562489 | + | 0.641396i | ||||
\(590\) | −13.1977 | − | 8.06742i | −0.543339 | − | 0.332131i | ||||
\(591\) | 26.1708 | + | 10.9160i | 1.07652 | + | 0.449026i | ||||
\(592\) | −9.15288 | − | 12.8299i | −0.376181 | − | 0.527306i | ||||
\(593\) | −31.3257 | − | 31.3257i | −1.28639 | − | 1.28639i | −0.936963 | − | 0.349430i | \(-0.886375\pi\) |
−0.349430 | − | 0.936963i | \(-0.613625\pi\) | |||||||
\(594\) | 1.31426 | − | 7.97279i | 0.0539249 | − | 0.327127i | ||||
\(595\) | 0.0231972 | − | 0.116620i | 0.000950991 | − | 0.00478095i | ||||
\(596\) | 24.5264 | − | 19.4234i | 1.00464 | − | 0.795614i | ||||
\(597\) | −2.37363 | + | 11.7810i | −0.0971463 | + | 0.482166i | ||||
\(598\) | −1.68320 | − | 41.6625i | −0.0688310 | − | 1.70371i | ||||
\(599\) | −18.1635 | + | 13.9374i | −0.742141 | + | 0.569465i | −0.909139 | − | 0.416492i | \(-0.863259\pi\) |
0.166998 | + | 0.985957i | \(0.446593\pi\) | |||||||
\(600\) | 7.08538 | + | 9.47150i | 0.289259 | + | 0.386672i | ||||
\(601\) | 33.8643 | + | 25.9850i | 1.38135 | + | 1.05995i | 0.990205 | + | 0.139622i | \(0.0445889\pi\) |
0.391149 | + | 0.920327i | \(0.372078\pi\) | |||||||
\(602\) | −0.298525 | − | 0.210480i | −0.0121670 | − | 0.00857854i | ||||
\(603\) | −23.5785 | + | 11.4833i | −0.960190 | + | 0.467636i | ||||
\(604\) | 9.11990 | + | 25.5734i | 0.371083 | + | 1.04057i | ||||
\(605\) | −6.96309 | + | 14.1198i | −0.283090 | + | 0.574050i | ||||
\(606\) | 31.9625 | − | 7.62760i | 1.29839 | − | 0.309850i | ||||
\(607\) | 15.7875 | + | 9.11489i | 0.640793 | + | 0.369962i | 0.784920 | − | 0.619597i | \(-0.212704\pi\) |
−0.144127 | + | 0.989559i | \(0.546037\pi\) | |||||||
\(608\) | −6.86960 | − | 19.8745i | −0.278599 | − | 0.806017i | ||||
\(609\) | −0.0392326 | + | 0.292422i | −0.00158978 | + | 0.0118496i | ||||
\(610\) | −14.3473 | + | 17.7577i | −0.580906 | + | 0.718988i | ||||
\(611\) | −2.32880 | − | 3.48529i | −0.0942130 | − | 0.141000i | ||||
\(612\) | 4.04890 | − | 21.5193i | 0.163667 | − | 0.869867i | ||||
\(613\) | −6.46913 | − | 32.5225i | −0.261286 | − | 1.31357i | −0.859047 | − | 0.511897i | \(-0.828943\pi\) |
0.597761 | − | 0.801674i | \(-0.296057\pi\) | |||||||
\(614\) | 37.6427 | + | 3.41679i | 1.51914 | + | 0.137891i | ||||
\(615\) | 1.92336 | − | 7.10786i | 0.0775573 | − | 0.286617i | ||||
\(616\) | 0.0246837 | − | 0.0579839i | 0.000994533 | − | 0.00233624i | ||||
\(617\) | −7.33348 | + | 5.62718i | −0.295235 | + | 0.226542i | −0.745748 | − | 0.666228i | \(-0.767908\pi\) |
0.450513 | + | 0.892770i | \(0.351241\pi\) | |||||||
\(618\) | −1.76641 | + | 2.49222i | −0.0710556 | + | 0.100252i | ||||
\(619\) | 1.51869 | − | 23.1707i | 0.0610412 | − | 0.931309i | −0.852026 | − | 0.523500i | \(-0.824626\pi\) |
0.913067 | − | 0.407809i | \(-0.133707\pi\) | |||||||
\(620\) | −10.6851 | + | 14.3755i | −0.429125 | + | 0.577334i | ||||
\(621\) | −15.6545 | − | 32.3457i | −0.628193 | − | 1.29799i | ||||
\(622\) | 3.32216 | + | 3.49306i | 0.133206 | + | 0.140059i | ||||
\(623\) | −0.0308249 | + | 0.115040i | −0.00123497 | + | 0.00460898i | ||||
\(624\) | −22.9183 | + | 18.6336i | −0.917465 | + | 0.745942i | ||||
\(625\) | −1.83710 | − | 6.85614i | −0.0734838 | − | 0.274245i | ||||
\(626\) | 20.2025 | − | 33.0498i | 0.807456 | − | 1.32093i | ||||
\(627\) | −5.33441 | + | 4.65492i | −0.213036 | + | 0.185899i | ||||
\(628\) | 30.5315 | − | 8.68391i | 1.21834 | − | 0.346526i | ||||
\(629\) | −7.98860 | + | 11.9558i | −0.318526 | + | 0.476709i | ||||
\(630\) | −0.0648297 | + | 0.122085i | −0.00258288 | + | 0.00486398i | ||||
\(631\) | 0.100640 | − | 0.242967i | 0.00400643 | − | 0.00967238i | −0.921864 | − | 0.387514i | \(-0.873334\pi\) |
0.925870 | + | 0.377842i | \(0.123334\pi\) | |||||||
\(632\) | −18.8460 | + | 1.05055i | −0.749655 | + | 0.0417888i | ||||
\(633\) | 5.69622 | + | 21.4704i | 0.226405 | + | 0.853372i | ||||
\(634\) | −15.6173 | − | 5.74188i | −0.620244 | − | 0.228039i | ||||
\(635\) | 2.52030 | − | 7.42457i | 0.100015 | − | 0.294635i | ||||
\(636\) | −26.0093 | + | 17.8661i | −1.03133 | + | 0.708437i | ||||
\(637\) | −26.7643 | − | 13.1987i | −1.06044 | − | 0.522951i | ||||
\(638\) | −5.30410 | + | 11.9489i | −0.209991 | + | 0.473060i | ||||
\(639\) | 3.89677 | − | 3.85849i | 0.154154 | − | 0.152640i | ||||
\(640\) | −7.31069 | − | 16.6584i | −0.288980 | − | 0.658480i | ||||
\(641\) | 4.88761 | + | 8.46558i | 0.193049 | + | 0.334370i | 0.946259 | − | 0.323409i | \(-0.104829\pi\) |
−0.753210 | + | 0.657780i | \(0.771496\pi\) | |||||||
\(642\) | −0.685606 | − | 1.26683i | −0.0270587 | − | 0.0499978i | ||||
\(643\) | −2.02258 | − | 30.8586i | −0.0797628 | − | 1.21694i | −0.830757 | − | 0.556636i | \(-0.812092\pi\) |
0.750994 | − | 0.660309i | \(-0.229575\pi\) | |||||||
\(644\) | −0.0588763 | − | 0.274002i | −0.00232005 | − | 0.0107972i | ||||
\(645\) | 19.6502 | + | 29.5663i | 0.773727 | + | 1.16417i | ||||
\(646\) | −14.7371 | + | 12.2844i | −0.579822 | + | 0.483321i | ||||
\(647\) | 1.80659 | + | 4.36148i | 0.0710242 | + | 0.171468i | 0.955405 | − | 0.295298i | \(-0.0954191\pi\) |
−0.884381 | + | 0.466766i | \(0.845419\pi\) | |||||||
\(648\) | −11.7049 | + | 22.6052i | −0.459812 | + | 0.888016i | ||||
\(649\) | −2.86234 | + | 6.91031i | −0.112357 | + | 0.271253i | ||||
\(650\) | −13.8980 | + | 4.33233i | −0.545123 | + | 0.169928i | ||||
\(651\) | 0.191621 | + | 0.0386076i | 0.00751021 | + | 0.00151315i | ||||
\(652\) | 12.5907 | + | 12.2111i | 0.493091 | + | 0.478222i | ||||
\(653\) | 16.6686 | − | 19.0069i | 0.652292 | − | 0.743796i | −0.327272 | − | 0.944930i | \(-0.606129\pi\) |
0.979564 | + | 0.201134i | \(0.0644626\pi\) | |||||||
\(654\) | 16.3781 | − | 20.1692i | 0.640436 | − | 0.788678i | ||||
\(655\) | 18.8964 | + | 5.06327i | 0.738342 | + | 0.197838i | ||||
\(656\) | 5.00500 | − | 9.31637i | 0.195413 | − | 0.363743i | ||||
\(657\) | 17.1149 | + | 0.0844761i | 0.667716 | + | 0.00329573i | ||||
\(658\) | −0.0194163 | − | 0.0204151i | −0.000756927 | − | 0.000795865i | ||||
\(659\) | −18.6814 | + | 6.34149i | −0.727725 | + | 0.247029i | −0.660624 | − | 0.750717i | \(-0.729708\pi\) |
−0.0671010 | + | 0.997746i | \(0.521375\pi\) | |||||||
\(660\) | −4.27501 | + | 4.38623i | −0.166405 | + | 0.170734i | ||||
\(661\) | −14.5576 | + | 7.17903i | −0.566226 | + | 0.279232i | −0.702788 | − | 0.711400i | \(-0.748062\pi\) |
0.136561 | + | 0.990632i | \(0.456395\pi\) | |||||||
\(662\) | 17.9923 | − | 0.726903i | 0.699292 | − | 0.0282519i | ||||
\(663\) | 23.3053 | + | 13.5321i | 0.905102 | + | 0.525544i | ||||
\(664\) | 7.36148 | − | 5.53532i | 0.285681 | − | 0.214812i | ||||
\(665\) | 0.111895 | − | 0.0463484i | 0.00433910 | − | 0.00179731i | ||||
\(666\) | 12.8929 | − | 10.6397i | 0.499589 | − | 0.412280i | ||||
\(667\) | 11.3423 | + | 57.0215i | 0.439175 | + | 2.20788i | ||||
\(668\) | 0.781604 | + | 9.65736i | 0.0302412 | + | 0.373655i | ||||
\(669\) | −22.1647 | − | 1.50770i | −0.856937 | − | 0.0582909i | ||||
\(670\) | 19.6381 | + | 3.08805i | 0.758685 | + | 0.119302i | ||||
\(671\) | 9.56028 | + | 5.51963i | 0.369071 | + | 0.213083i | ||||
\(672\) | −0.130441 | + | 0.149665i | −0.00503186 | + | 0.00577347i | ||||
\(673\) | −8.39339 | + | 4.84593i | −0.323541 | + | 0.186797i | −0.652970 | − | 0.757384i | \(-0.726477\pi\) |
0.329429 | + | 0.944181i | \(0.393144\pi\) | |||||||
\(674\) | −0.508258 | + | 0.195749i | −0.0195773 | + | 0.00753996i | ||||
\(675\) | −9.49353 | + | 8.20206i | −0.365406 | + | 0.315697i | ||||
\(676\) | −3.47736 | − | 9.75098i | −0.133744 | − | 0.375038i | ||||
\(677\) | 37.4233 | − | 32.8194i | 1.43830 | − | 1.26135i | 0.526832 | − | 0.849970i | \(-0.323380\pi\) |
0.911463 | − | 0.411381i | \(-0.134954\pi\) | |||||||
\(678\) | 11.0289 | − | 48.4347i | 0.423561 | − | 1.86012i | ||||
\(679\) | 0.00873641 | − | 0.0663596i | 0.000335273 | − | 0.00254665i | ||||
\(680\) | −11.8505 | + | 11.6213i | −0.454445 | + | 0.445657i | ||||
\(681\) | 39.3407 | − | 22.5841i | 1.50754 | − | 0.865425i | ||||
\(682\) | 7.66957 | + | 4.02430i | 0.293683 | + | 0.154099i | ||||
\(683\) | −18.0260 | − | 12.0446i | −0.689744 | − | 0.460872i | 0.160655 | − | 0.987011i | \(-0.448639\pi\) |
−0.850399 | + | 0.526138i | \(0.823639\pi\) | |||||||
\(684\) | 20.5164 | − | 8.74856i | 0.784464 | − | 0.334510i | ||||
\(685\) | −2.05843 | + | 10.3484i | −0.0786485 | + | 0.395393i | ||||
\(686\) | −0.384771 | − | 0.113510i | −0.0146906 | − | 0.00433384i | ||||
\(687\) | −5.27506 | − | 6.90983i | −0.201256 | − | 0.263627i | ||||
\(688\) | 17.8595 | + | 47.7570i | 0.680889 | + | 1.82072i | ||||
\(689\) | −10.0512 | − | 37.5115i | −0.382920 | − | 1.42908i | ||||
\(690\) | −4.29760 | + | 26.8973i | −0.163607 | + | 1.02396i | ||||
\(691\) | −14.2645 | − | 42.0218i | −0.542646 | − | 1.59858i | −0.779072 | − | 0.626935i | \(-0.784309\pi\) |
0.236425 | − | 0.971650i | \(-0.424024\pi\) | |||||||
\(692\) | −4.20117 | + | 2.51207i | −0.159705 | + | 0.0954944i | ||||
\(693\) | 0.0631878 | + | 0.0217978i | 0.00240031 | + | 0.000828029i | ||||
\(694\) | −3.40194 | − | 0.765816i | −0.129136 | − | 0.0290700i | ||||
\(695\) | 6.07928 | − | 0.800353i | 0.230600 | − | 0.0303591i | ||||
\(696\) | 27.5317 | − | 30.6299i | 1.04359 | − | 1.16103i | ||||
\(697\) | −9.56640 | − | 1.25944i | −0.362353 | − | 0.0477047i | ||||
\(698\) | 3.78661 | − | 10.2992i | 0.143325 | − | 0.389831i | ||||
\(699\) | 13.5431 | + | 20.3774i | 0.512248 | + | 0.770744i | ||||
\(700\) | −0.0870829 | + | 0.0446145i | −0.00329142 | + | 0.00168627i | ||||
\(701\) | −10.2895 | + | 6.87526i | −0.388631 | + | 0.259675i | −0.734501 | − | 0.678608i | \(-0.762584\pi\) |
0.345870 | + | 0.938282i | \(0.387584\pi\) | |||||||
\(702\) | −21.4221 | − | 22.8607i | −0.808525 | − | 0.862821i | ||||
\(703\) | −14.6463 | −0.552396 | ||||||||
\(704\) | −7.40831 | + | 4.74350i | −0.279211 | + | 0.178777i | ||||
\(705\) | 1.04164 | + | 2.53241i | 0.0392306 | + | 0.0953760i | ||||
\(706\) | −25.1131 | + | 18.2883i | −0.945146 | + | 0.688291i | ||||
\(707\) | 0.0177780 | + | 0.271240i | 0.000668612 | + | 0.0102010i | ||||
\(708\) | 15.3077 | − | 17.9139i | 0.575297 | − | 0.673245i | ||||
\(709\) | −4.47880 | − | 5.10710i | −0.168205 | − | 0.191801i | 0.661596 | − | 0.749861i | \(-0.269879\pi\) |
−0.829801 | + | 0.558059i | \(0.811546\pi\) | |||||||
\(710\) | −4.09594 | + | 0.708488i | −0.153718 | + | 0.0265891i | ||||
\(711\) | −2.51517 | − | 19.8617i | −0.0943262 | − | 0.744871i | ||||
\(712\) | 12.6057 | − | 10.8390i | 0.472417 | − | 0.406208i | ||||
\(713\) | 38.1884 | − | 5.02760i | 1.43017 | − | 0.188285i | ||||
\(714\) | 0.169853 | + | 0.0629244i | 0.00635659 | + | 0.00235489i | ||||
\(715\) | −3.33402 | − | 6.76072i | −0.124685 | − | 0.252837i | ||||
\(716\) | 15.5492 | − | 0.238041i | 0.581102 | − | 0.00889599i | ||||
\(717\) | −11.5057 | − | 3.93734i | −0.429686 | − | 0.147042i | ||||
\(718\) | −20.5417 | + | 11.1828i | −0.766611 | + | 0.417337i | ||||
\(719\) | 0.503371 | − | 0.503371i | 0.0187726 | − | 0.0187726i | −0.697658 | − | 0.716431i | \(-0.745775\pi\) |
0.716431 | + | 0.697658i | \(0.245775\pi\) | |||||||
\(720\) | 17.0808 | − | 8.97572i | 0.636563 | − | 0.334505i | ||||
\(721\) | −0.0178680 | − | 0.0178680i | −0.000665438 | − | 0.000665438i | ||||
\(722\) | 7.02851 | + | 2.07347i | 0.261574 | + | 0.0771664i | ||||
\(723\) | −1.39807 | − | 1.60215i | −0.0519946 | − | 0.0595845i | ||||
\(724\) | −14.8112 | + | 37.3651i | −0.550454 | + | 1.38866i | ||||
\(725\) | 18.2047 | − | 8.97758i | 0.676107 | − | 0.333419i | ||||
\(726\) | −19.5664 | − | 13.8681i | −0.726177 | − | 0.514693i | ||||
\(727\) | −4.06595 | − | 30.8839i | −0.150798 | − | 1.14542i | −0.884698 | − | 0.466165i | \(-0.845635\pi\) |
0.733900 | − | 0.679257i | \(-0.237698\pi\) | |||||||
\(728\) | −0.120097 | − | 0.212785i | −0.00445108 | − | 0.00788633i | ||||
\(729\) | −24.7890 | − | 10.7007i | −0.918112 | − | 0.396321i | ||||
\(730\) | −10.6028 | − | 7.47569i | −0.392426 | − | 0.276688i | ||||
\(731\) | 34.9751 | − | 30.6723i | 1.29360 | − | 1.13446i | ||||
\(732\) | −23.2641 | − | 25.8504i | −0.859865 | − | 0.955457i | ||||
\(733\) | 9.29611 | − | 0.609299i | 0.343360 | − | 0.0225050i | 0.107252 | − | 0.994232i | \(-0.465795\pi\) |
0.236108 | + | 0.971727i | \(0.424128\pi\) | |||||||
\(734\) | 2.26444 | − | 14.4004i | 0.0835820 | − | 0.531530i | ||||
\(735\) | 15.4365 | + | 11.9055i | 0.569386 | + | 0.439142i | ||||
\(736\) | −14.7703 | + | 36.2254i | −0.544440 | + | 1.33528i | ||||
\(737\) | − | 9.61277i | − | 0.354091i | ||||||
\(738\) | 10.2299 | + | 4.60163i | 0.376567 | + | 0.169388i | ||||
\(739\) | 18.6649 | + | 27.9341i | 0.686601 | + | 1.02757i | 0.997033 | + | 0.0769754i | \(0.0245263\pi\) |
−0.310432 | + | 0.950596i | \(0.600474\pi\) | |||||||
\(740\) | −12.6295 | + | 1.02215i | −0.464271 | + | 0.0375751i | ||||
\(741\) | 1.72770 | + | 27.3955i | 0.0634688 | + | 1.00640i | ||||
\(742\) | −0.109542 | − | 0.236924i | −0.00402141 | − | 0.00869774i | ||||
\(743\) | −5.95688 | + | 45.2470i | −0.218537 | + | 1.65995i | 0.433045 | + | 0.901372i | \(0.357439\pi\) |
−0.651582 | + | 0.758578i | \(0.725894\pi\) | |||||||
\(744\) | −19.0565 | − | 19.5285i | −0.698646 | − | 0.715949i | ||||
\(745\) | −3.28317 | − | 24.9381i | −0.120286 | − | 0.913662i | ||||
\(746\) | 23.6374 | + | 37.3711i | 0.865427 | + | 1.36825i | ||||
\(747\) | 6.40488 | + | 7.37649i | 0.234342 | + | 0.269892i | ||||
\(748\) | 6.44147 | + | 4.78786i | 0.235523 | + | 0.175061i | ||||
\(749\) | 0.0112833 | − | 0.00383015i | 0.000412282 | − | 0.000139951i | ||||
\(750\) | 29.0474 | − | 3.01309i | 1.06066 | − | 0.110023i | ||||
\(751\) | −34.5296 | + | 9.25218i | −1.26000 | + | 0.337617i | −0.826193 | − | 0.563388i | \(-0.809498\pi\) |
−0.433810 | + | 0.901004i | \(0.642831\pi\) | |||||||
\(752\) | 0.632446 | + | 3.88160i | 0.0230629 | + | 0.141547i | ||||
\(753\) | 26.2760 | + | 10.9599i | 0.957552 | + | 0.399403i | ||||
\(754\) | 24.2352 | + | 44.5180i | 0.882595 | + | 1.62125i | ||||
\(755\) | 21.4093 | + | 4.25858i | 0.779166 | + | 0.154986i | ||||
\(756\) | −0.168067 | − | 0.126865i | −0.00611255 | − | 0.00461403i | ||||
\(757\) | −17.1523 | + | 25.6702i | −0.623409 | + | 0.932998i | 0.376569 | + | 0.926389i | \(0.377104\pi\) |
−0.999978 | + | 0.00660929i | \(0.997896\pi\) | |||||||
\(758\) | 36.9729 | − | 11.5254i | 1.34292 | − | 0.418620i | ||||
\(759\) | 13.1713 | + | 0.0325053i | 0.478087 | + | 0.00117987i | ||||
\(760\) | −16.5484 | − | 3.45998i | −0.600275 | − | 0.125507i | ||||
\(761\) | 18.8519 | + | 2.48190i | 0.683381 | + | 0.0899689i | 0.464220 | − | 0.885720i | \(-0.346335\pi\) |
0.219161 | + | 0.975689i | \(0.429668\pi\) | |||||||
\(762\) | 10.5628 | + | 5.57572i | 0.382651 | + | 0.201987i | ||||
\(763\) | 0.141708 | + | 0.161587i | 0.00513018 | + | 0.00584985i | ||||
\(764\) | −17.3242 | − | 19.1549i | −0.626769 | − | 0.693001i | ||||
\(765\) | −13.1784 | − | 11.6728i | −0.476468 | − | 0.422029i | ||||
\(766\) | −15.3159 | + | 34.5030i | −0.553387 | + | 1.24665i | ||||
\(767\) | 14.5000 | + | 25.1148i | 0.523566 | + | 0.906842i | ||||
\(768\) | 26.8159 | − | 6.99344i | 0.967635 | − | 0.252354i | ||||
\(769\) | 10.1503 | − | 17.5808i | 0.366028 | − | 0.633979i | −0.622913 | − | 0.782291i | \(-0.714051\pi\) |
0.988941 | + | 0.148312i | \(0.0473841\pi\) | |||||||
\(770\) | −0.0298262 | − | 0.0409567i | −0.00107486 | − | 0.00147598i | ||||
\(771\) | 0.975284 | − | 0.477968i | 0.0351240 | − | 0.0172136i | ||||
\(772\) | −11.9235 | + | 36.9756i | −0.429136 | + | 1.33078i | ||||
\(773\) | −39.4821 | + | 7.85348i | −1.42007 | + | 0.282470i | −0.844621 | − | 0.535365i | \(-0.820174\pi\) |
−0.575453 | + | 0.817835i | \(0.695174\pi\) | |||||||
\(774\) | −49.1988 | + | 22.4531i | −1.76841 | + | 0.807059i | ||||
\(775\) | −5.14626 | − | 12.4242i | −0.184859 | − | 0.446290i | ||||
\(776\) | −6.22858 | + | 6.96399i | −0.223593 | + | 0.249993i | ||||
\(777\) | 0.0688432 | + | 0.119922i | 0.00246974 | + | 0.00430219i | ||||
\(778\) | −20.2702 | − | 18.6960i | −0.726723 | − | 0.670283i | ||||
\(779\) | −4.34692 | − | 8.81469i | −0.155745 | − | 0.315819i | ||||
\(780\) | 3.40171 | + | 23.5026i | 0.121801 | + | 0.841527i | ||||
\(781\) | 0.646100 | + | 1.90335i | 0.0231193 | + | 0.0681072i | ||||
\(782\) | 35.6815 | + | 0.894762i | 1.27597 | + | 0.0319966i | ||||
\(783\) | 34.4583 | + | 26.8484i | 1.23144 | + | 0.959485i | ||||
\(784\) | 17.7163 | + | 21.6804i | 0.632724 | + | 0.774302i | ||||
\(785\) | 6.60513 | − | 24.6507i | 0.235747 | − | 0.879820i | ||||
\(786\) | −12.1583 | + | 27.2084i | −0.433671 | + | 0.970490i | ||||
\(787\) | −28.2638 | − | 24.7867i | −1.00750 | − | 0.883551i | −0.0142877 | − | 0.999898i | \(-0.504548\pi\) |
−0.993209 | + | 0.116347i | \(0.962881\pi\) | |||||||
\(788\) | 30.0551 | − | 12.9917i | 1.07067 | − | 0.462811i | ||||
\(789\) | −43.3175 | + | 14.5852i | −1.54214 | + | 0.519246i | ||||
\(790\) | −7.05097 | + | 13.4378i | −0.250862 | + | 0.478096i | ||||
\(791\) | 0.379634 | + | 0.157250i | 0.0134982 | + | 0.00559116i | ||||
\(792\) | −5.57058 | − | 7.48501i | −0.197942 | − | 0.265968i | ||||
\(793\) | 39.5432 | − | 16.3793i | 1.40422 | − | 0.581647i | ||||
\(794\) | 43.6105 | + | 3.95848i | 1.54768 | + | 0.140481i | ||||
\(795\) | 1.59674 | + | 25.3188i | 0.0566305 | + | 0.897965i | ||||
\(796\) | 7.88532 | + | 11.4189i | 0.279488 | + | 0.404732i | ||||
\(797\) | −42.1690 | + | 2.76390i | −1.49370 | + | 0.0979025i | −0.790226 | − | 0.612815i | \(-0.790037\pi\) |
−0.703477 | + | 0.710718i | \(0.748370\pi\) | |||||||
\(798\) | 0.0428268 | + | 0.179460i | 0.00151605 | + | 0.00635283i | ||||
\(799\) | 3.10744 | − | 1.79408i | 0.109933 | − | 0.0634701i | ||||
\(800\) | 13.5511 | + | 1.70766i | 0.479105 | + | 0.0603750i | ||||
\(801\) | 12.4070 | + | 12.5300i | 0.438378 | + | 0.442727i | ||||
\(802\) | −10.6278 | + | 4.09316i | −0.375281 | + | 0.144534i | ||||
\(803\) | −2.77459 | + | 5.62632i | −0.0979133 | + | 0.198548i | ||||
\(804\) | −9.36527 | + | 28.7988i | −0.330288 | + | 1.01566i | ||||
\(805\) | −0.213362 | − | 0.0724268i | −0.00752004 | − | 0.00255271i | ||||
\(806\) | 30.4810 | − | 14.0929i | 1.07365 | − | 0.496403i | ||||
\(807\) | 6.28538 | + | 6.31648i | 0.221256 | + | 0.222351i | ||||
\(808\) | 19.2917 | − | 32.6733i | 0.678679 | − | 1.14944i | ||||
\(809\) | −41.4331 | − | 17.1622i | −1.45671 | − | 0.603389i | −0.492926 | − | 0.870071i | \(-0.664073\pi\) |
−0.963785 | + | 0.266682i | \(0.914073\pi\) | |||||||
\(810\) | 10.7689 | + | 17.4037i | 0.378379 | + | 0.611503i | ||||
\(811\) | −30.7854 | − | 20.5702i | −1.08102 | − | 0.722316i | −0.118346 | − | 0.992972i | \(-0.537759\pi\) |
−0.962676 | + | 0.270657i | \(0.912759\pi\) | |||||||
\(812\) | 0.211509 | + | 0.267078i | 0.00742252 | + | 0.00937260i | ||||
\(813\) | 24.9368 | − | 4.89630i | 0.874573 | − | 0.171721i | ||||
\(814\) | 1.43693 | + | 5.95615i | 0.0503645 | + | 0.208763i | ||||
\(815\) | 13.6210 | − | 3.64972i | 0.477121 | − | 0.127844i | ||||
\(816\) | −14.6334 | − | 20.6195i | −0.512270 | − | 0.721828i | ||||
\(817\) | 45.7692 | + | 12.2638i | 1.60126 | + | 0.429057i | ||||
\(818\) | 1.38916 | − | 55.3970i | 0.0485707 | − | 1.93691i | ||||
\(819\) | 0.216190 | − | 0.142915i | 0.00755431 | − | 0.00499387i | ||||
\(820\) | −4.36353 | − | 7.29755i | −0.152381 | − | 0.254842i | ||||
\(821\) | 18.6668 | + | 1.22349i | 0.651476 | + | 0.0427000i | 0.387558 | − | 0.921845i | \(-0.373319\pi\) |
0.263918 | + | 0.964545i | \(0.414985\pi\) | |||||||
\(822\) | −15.0721 | − | 5.58368i | −0.525700 | − | 0.194753i | ||||
\(823\) | 30.3308 | + | 39.5279i | 1.05727 | + | 1.37786i | 0.922064 | + | 0.387038i | \(0.126502\pi\) |
0.135203 | + | 0.990818i | \(0.456831\pi\) | |||||||
\(824\) | 0.654333 | + | 3.46608i | 0.0227948 | + | 0.120747i | ||||
\(825\) | −1.17922 | − | 4.44475i | −0.0410551 | − | 0.154746i | ||||
\(826\) | 0.124805 | + | 0.149724i | 0.00434252 | + | 0.00520955i | ||||
\(827\) | 40.9925 | − | 8.15391i | 1.42545 | − | 0.283539i | 0.578703 | − | 0.815538i | \(-0.303559\pi\) |
0.846745 | + | 0.531999i | \(0.178559\pi\) | |||||||
\(828\) | −39.4280 | − | 12.9295i | −1.37022 | − | 0.449332i | ||||
\(829\) | −4.86706 | + | 3.25207i | −0.169040 | + | 0.112949i | −0.637212 | − | 0.770688i | \(-0.719913\pi\) |
0.468172 | + | 0.883637i | \(0.344913\pi\) | |||||||
\(830\) | −0.782194 | − | 7.36353i | −0.0271504 | − | 0.255592i | ||||
\(831\) | 22.7797 | − | 29.5359i | 0.790220 | − | 1.02459i | ||||
\(832\) | −2.89480 | + | 33.9838i | −0.100359 | + | 1.17818i | ||||
\(833\) | 12.7725 | − | 22.1225i | 0.442539 | − | 0.766501i | ||||
\(834\) | −0.257204 | + | 9.33727i | −0.00890624 | + | 0.323323i | ||||
\(835\) | 6.98638 | + | 3.44530i | 0.241774 | + | 0.119230i | ||||
\(836\) | −0.409746 | + | 8.16482i | −0.0141714 | + | 0.282386i | ||||
\(837\) | 19.2427 | − | 21.6171i | 0.665123 | − | 0.747195i | ||||
\(838\) | −51.4667 | + | 8.90236i | −1.77789 | + | 0.307527i | ||||
\(839\) | 19.0532 | − | 24.8307i | 0.657791 | − | 0.857249i | −0.338705 | − | 0.940893i | \(-0.609989\pi\) |
0.996496 | + | 0.0836432i | \(0.0266556\pi\) | |||||||
\(840\) | 0.0494540 | + | 0.151760i | 0.00170632 | + | 0.00523622i | ||||
\(841\) | −25.3699 | − | 33.0627i | −0.874824 | − | 1.14009i | ||||
\(842\) | −14.8783 | + | 16.1311i | −0.512739 | + | 0.555913i | ||||
\(843\) | 7.53643 | + | 22.3829i | 0.259568 | + | 0.770909i | ||||
\(844\) | 22.4069 | + | 12.4833i | 0.771277 | + | 0.429692i | ||||
\(845\) | −8.16324 | − | 1.62377i | −0.280824 | − | 0.0558594i | ||||
\(846\) | −4.05979 | + | 0.958253i | −0.139579 | + | 0.0329454i | ||||
\(847\) | 0.140281 | − | 0.140281i | 0.00482011 | − | 0.00482011i | ||||
\(848\) | −6.01106 | + | 35.9366i | −0.206421 | + | 1.23407i | ||||
\(849\) | −12.8080 | − | 16.7773i | −0.439570 | − | 0.575796i | ||||
\(850\) | −2.92250 | − | 12.1139i | −0.100241 | − | 0.415503i | ||||
\(851\) | 20.4860 | + | 17.9658i | 0.702253 | + | 0.615859i | ||||
\(852\) | −0.0813020 | − | 6.33170i | −0.00278536 | − | 0.216920i | ||||
\(853\) | −3.19925 | + | 48.8111i | −0.109540 | + | 1.67126i | 0.490614 | + | 0.871377i | \(0.336772\pi\) |
−0.600154 | + | 0.799884i | \(0.704894\pi\) | |||||||
\(854\) | 0.243130 | − | 0.153781i | 0.00831974 | − | 0.00526227i | ||||
\(855\) | 2.42829 | − | 17.7666i | 0.0830458 | − | 0.607606i | ||||
\(856\) | −1.60234 | − | 0.446158i | −0.0547669 | − | 0.0152494i | ||||
\(857\) | 24.5500 | + | 18.8379i | 0.838612 | + | 0.643490i | 0.936095 | − | 0.351747i | \(-0.114412\pi\) |
−0.0974826 | + | 0.995237i | \(0.531079\pi\) | |||||||
\(858\) | 10.9713 | − | 3.39034i | 0.374554 | − | 0.115744i | ||||
\(859\) | 9.60034 | + | 3.25888i | 0.327559 | + | 0.111191i | 0.480375 | − | 0.877063i | \(-0.340501\pi\) |
−0.152815 | + | 0.988255i | \(0.548834\pi\) | |||||||
\(860\) | 40.3227 | + | 7.38092i | 1.37499 | + | 0.251687i | ||||
\(861\) | −0.0517416 | + | 0.0770246i | −0.00176335 | + | 0.00262499i | ||||
\(862\) | −27.9214 | − | 22.5591i | −0.951008 | − | 0.768367i | ||||
\(863\) | − | 26.0543i | − | 0.886899i | −0.896299 | − | 0.443449i | \(-0.853755\pi\) | ||
0.896299 | − | 0.443449i | \(-0.146245\pi\) | |||||||
\(864\) | 9.39658 | + | 27.8515i | 0.319678 | + | 0.947526i | ||||
\(865\) | 3.93542i | 0.133808i | ||||||||
\(866\) | 10.0053 | − | 12.3836i | 0.339995 | − | 0.420812i | ||||
\(867\) | 3.55544 | − | 5.29277i | 0.120749 | − | 0.179752i | ||||
\(868\) | 0.185730 | − | 0.128256i | 0.00630410 | − | 0.00435330i | ||||
\(869\) | 6.94868 | + | 2.35876i | 0.235718 | + | 0.0800154i | ||||
\(870\) | −9.77603 | − | 31.6357i | −0.331438 | − | 1.07255i | ||||
\(871\) | −29.5687 | − | 22.6888i | −1.00190 | − | 0.768782i | ||||
\(872\) | −3.62531 | − | 29.7810i | −0.122769 | − | 1.00851i | ||||
\(873\) | −7.83209 | − | 6.07143i | −0.265076 | − | 0.205487i | ||||
\(874\) | 19.4342 | + | 30.7257i | 0.657370 | + | 1.03931i | ||||
\(875\) | −0.0157996 | + | 0.241055i | −0.000534124 | + | 0.00814915i | ||||
\(876\) | 13.7938 | − | 14.1527i | 0.466051 | − | 0.478175i | ||||
\(877\) | 9.93588 | + | 8.71353i | 0.335511 | + | 0.294235i | 0.810479 | − | 0.585768i | \(-0.199207\pi\) |
−0.474968 | + | 0.880003i | \(0.657540\pi\) | |||||||
\(878\) | −38.2587 | + | 9.22998i | −1.29117 | + | 0.311497i | ||||
\(879\) | 10.7182 | + | 14.0399i | 0.361518 | + | 0.473554i | ||||
\(880\) | 0.216491 | + | 7.06914i | 0.00729792 | + | 0.238301i | ||||
\(881\) | −35.0066 | + | 35.0066i | −1.17940 | + | 1.17940i | −0.199505 | + | 0.979897i | \(0.563933\pi\) |
−0.979897 | + | 0.199505i | \(0.936067\pi\) | |||||||
\(882\) | −21.6193 | + | 20.3593i | −0.727961 | + | 0.685533i | ||||
\(883\) | 48.6401 | + | 9.67512i | 1.63687 | + | 0.325594i | 0.925941 | − | 0.377669i | \(-0.123274\pi\) |
0.710930 | + | 0.703263i | \(0.248274\pi\) | |||||||
\(884\) | 29.9310 | − | 8.51312i | 1.00669 | − | 0.286327i | ||||
\(885\) | −6.04521 | − | 17.9541i | −0.203207 | − | 0.603519i | ||||
\(886\) | −7.84656 | − | 7.23717i | −0.263610 | − | 0.243137i | ||||
\(887\) | −11.6812 | − | 15.2233i | −0.392217 | − | 0.511147i | 0.554952 | − | 0.831883i | \(-0.312737\pi\) |
−0.947169 | + | 0.320735i | \(0.896070\pi\) | |||||||
\(888\) | 1.49791 | − | 19.2439i | 0.0502664 | − | 0.645784i | ||||
\(889\) | −0.0601476 | + | 0.0783859i | −0.00201729 | + | 0.00262898i | ||||
\(890\) | −2.27814 | − | 13.1705i | −0.0763634 | − | 0.441475i | ||||
\(891\) | 7.50457 | − | 6.45139i | 0.251412 | − | 0.216130i | ||||
\(892\) | −19.0256 | + | 17.2073i | −0.637024 | + | 0.576142i | ||||
\(893\) | 3.27793 | + | 1.61649i | 0.109692 | + | 0.0540939i | ||||
\(894\) | 38.3029 | + | 1.05509i | 1.28104 | + | 0.0352874i | ||||
\(895\) | 6.25136 | − | 10.8277i | 0.208960 | − | 0.361929i | ||||
\(896\) | 0.0197596 | + | 0.228390i | 0.000660121 | + | 0.00762999i | ||||
\(897\) | 31.1879 | − | 40.4378i | 1.04133 | − | 1.35018i | ||||
\(898\) | 16.4602 | − | 1.74849i | 0.549282 | − | 0.0583478i | ||||
\(899\) | −38.9322 | + | 26.0136i | −1.29846 | + | 0.867604i | ||||
\(900\) | −0.797501 | + | 14.4648i | −0.0265834 | + | 0.482162i | ||||
\(901\) | 32.6043 | − | 6.48540i | 1.08621 | − | 0.216060i | ||||
\(902\) | −3.15816 | + | 2.63254i | −0.105155 | + | 0.0876542i | ||||
\(903\) | −0.114718 | − | 0.432398i | −0.00381757 | − | 0.0143893i | ||||
\(904\) | −31.3999 | − | 48.0013i | −1.04434 | − | 1.59650i | ||||
\(905\) | 19.6720 | + | 25.6371i | 0.653919 | + | 0.852204i | ||||
\(906\) | −11.5518 | + | 31.1819i | −0.383783 | + | 1.03595i | ||||
\(907\) | −22.7827 | − | 1.49326i | −0.756488 | − | 0.0495828i | −0.317722 | − | 0.948184i | \(-0.602918\pi\) |
−0.438766 | + | 0.898601i | \(0.644584\pi\) | |||||||
\(908\) | 12.7808 | − | 50.7966i | 0.424147 | − | 1.68574i | ||||
\(909\) | 36.0065 | + | 17.9779i | 1.19426 | + | 0.596291i | ||||
\(910\) | −0.196380 | − | 0.00492450i | −0.00650994 | − | 0.000163246i | ||||
\(911\) | 38.8556 | + | 10.4113i | 1.28734 | + | 0.344942i | 0.836650 | − | 0.547737i | \(-0.184511\pi\) |
0.450692 | + | 0.892680i | \(0.351177\pi\) | |||||||
\(912\) | 9.18217 | − | 24.0618i | 0.304052 | − | 0.796764i | ||||
\(913\) | −3.45869 | + | 0.926754i | −0.114466 | + | 0.0306711i | ||||
\(914\) | −17.3580 | + | 4.18766i | −0.574153 | + | 0.138515i | ||||
\(915\) | −27.4363 | + | 5.38707i | −0.907017 | + | 0.178091i | ||||
\(916\) | −9.97108 | − | 1.15774i | −0.329454 | − | 0.0382527i | ||||
\(917\) | −0.204974 | − | 0.136959i | −0.00676883 | − | 0.00452279i | ||||
\(918\) | 20.7265 | − | 17.0184i | 0.684075 | − | 0.561692i | ||||
\(919\) | 13.9901 | + | 5.79490i | 0.461492 | + | 0.191156i | 0.601301 | − | 0.799022i | \(-0.294649\pi\) |
−0.139810 | + | 0.990178i | \(0.544649\pi\) | |||||||
\(920\) | 18.9024 | + | 25.1386i | 0.623195 | + | 0.828794i | ||||
\(921\) | 32.6527 | + | 32.8143i | 1.07594 | + | 1.08127i | ||||
\(922\) | 18.1298 | + | 39.2122i | 0.597074 | + | 1.29139i | ||||
\(923\) | 7.37964 | + | 2.50505i | 0.242904 | + | 0.0824548i | ||||
\(924\) | 0.0687788 | − | 0.0350229i | 0.00226266 | − | 0.00115217i | ||||
\(925\) | 4.20753 | − | 8.53203i | 0.138343 | − | 0.280531i | ||||
\(926\) | −21.3200 | − | 55.3571i | −0.700620 | − | 1.81915i | ||||
\(927\) | −3.61852 | + | 0.950463i | −0.118848 | + | 0.0312173i | ||||
\(928\) | −3.37337 | − | 47.4364i | −0.110736 | − | 1.55717i | ||||
\(929\) | −26.8287 | + | 15.4896i | −0.880221 | + | 0.508196i | −0.870731 | − | 0.491759i | \(-0.836354\pi\) |
−0.00948969 | + | 0.999955i | \(0.503021\pi\) | |||||||
\(930\) | −21.3380 | + | 5.09214i | −0.699701 | + | 0.166978i | ||||
\(931\) | 25.9639 | − | 1.70176i | 0.850932 | − | 0.0557730i | ||||
\(932\) | 27.7908 | + | 5.08700i | 0.910318 | + | 0.166630i | ||||
\(933\) | 0.371600 | + | 5.89230i | 0.0121656 | + | 0.192905i | ||||
\(934\) | 1.19898 | − | 13.2091i | 0.0392318 | − | 0.432215i | ||||
\(935\) | 5.96152 | − | 2.46934i | 0.194963 | − | 0.0807562i | ||||
\(936\) | −36.1719 | − | 0.531738i | −1.18232 | − | 0.0173804i | ||||
\(937\) | 15.0532 | + | 6.23523i | 0.491766 | + | 0.203696i | 0.614764 | − | 0.788711i | \(-0.289251\pi\) |
−0.122999 | + | 0.992407i | \(0.539251\pi\) | |||||||
\(938\) | −0.221825 | − | 0.116394i | −0.00724285 | − | 0.00380040i | ||||
\(939\) | 44.9608 | − | 15.1385i | 1.46724 | − | 0.494026i | ||||
\(940\) | 2.93938 | + | 1.16514i | 0.0958719 | + | 0.0380028i | ||||
\(941\) | 8.70560 | + | 7.63461i | 0.283794 | + | 0.248881i | 0.789394 | − | 0.613888i | \(-0.210395\pi\) |
−0.505599 | + | 0.862769i | \(0.668729\pi\) | |||||||
\(942\) | 35.4938 | + | 15.8607i | 1.15645 | + | 0.516769i | ||||
\(943\) | −4.73235 | + | 17.6614i | −0.154107 | + | 0.575134i | ||||
\(944\) | −2.60978 | − | 27.0832i | −0.0849412 | − | 0.881483i | ||||
\(945\) | −0.156885 | + | 0.0636274i | −0.00510348 | + | 0.00206980i | ||||
\(946\) | 0.496912 | − | 19.8160i | 0.0161560 | − | 0.644273i | ||||
\(947\) | 10.5560 | + | 31.0970i | 0.343024 | + | 1.01052i | 0.972381 | + | 0.233400i | \(0.0749850\pi\) |
−0.629357 | + | 0.777116i | \(0.716682\pi\) | |||||||
\(948\) | −18.5195 | − | 13.8364i | −0.601484 | − | 0.449384i | ||||
\(949\) | 10.7576 | + | 21.8143i | 0.349207 | + | 0.708122i | ||||
\(950\) | 8.60568 | − | 9.33031i | 0.279205 | − | 0.302715i | ||||
\(951\) | −10.1459 | − | 17.6739i | −0.329005 | − | 0.573115i | ||||
\(952\) | 0.188480 | − | 0.0906712i | 0.00610867 | − | 0.00293867i | ||||
\(953\) | −15.8175 | − | 38.1868i | −0.512379 | − | 1.23699i | −0.942496 | − | 0.334219i | \(-0.891528\pi\) |
0.430117 | − | 0.902773i | \(-0.358472\pi\) | |||||||
\(954\) | −38.4701 | − | 3.68343i | −1.24552 | − | 0.119255i | ||||
\(955\) | −20.3655 | + | 4.05095i | −0.659012 | + | 0.131086i | ||||
\(956\) | −12.4973 | + | 6.40265i | −0.404192 | + | 0.207076i | ||||
\(957\) | −14.3776 | + | 7.04617i | −0.464761 | + | 0.227770i | ||||
\(958\) | −2.15702 | + | 1.57083i | −0.0696902 | + | 0.0507511i | ||||
\(959\) | 0.0664795 | − | 0.115146i | 0.00214673 | − | 0.00371825i | ||||
\(960\) | 6.23855 | − | 21.3893i | 0.201348 | − | 0.690337i | ||||
\(961\) | 0.0106897 | + | 0.0185151i | 0.000344828 | + | 0.000597260i | ||||
\(962\) | 21.7126 | + | 9.63822i | 0.700041 | + | 0.310749i | ||||
\(963\) | 0.352713 | − | 1.72857i | 0.0113660 | − | 0.0557025i | ||||
\(964\) | −2.45224 | − | 0.123064i | −0.0789813 | − | 0.00396362i | ||||
\(965\) | 20.5947 | + | 23.4837i | 0.662966 | + | 0.755968i | ||||
\(966\) | 0.160231 | − | 0.303548i | 0.00515536 | − | 0.00976649i | ||||
\(967\) | 39.8500 | + | 5.24636i | 1.28149 | + | 0.168711i | 0.740351 | − | 0.672221i | \(-0.234659\pi\) |
0.541140 | + | 0.840932i | \(0.317993\pi\) | |||||||
\(968\) | −27.2121 | + | 5.13716i | −0.874631 | + | 0.165115i | ||||
\(969\) | −23.4974 | − | 0.0579891i | −0.754844 | − | 0.00186288i | ||||
\(970\) | 2.23546 | + | 7.17126i | 0.0717762 | + | 0.230255i | ||||
\(971\) | 7.99461 | − | 11.9648i | 0.256559 | − | 0.383968i | −0.680722 | − | 0.732542i | \(-0.738334\pi\) |
0.937281 | + | 0.348574i | \(0.113334\pi\) | |||||||
\(972\) | −28.7682 | + | 12.0163i | −0.922740 | + | 0.385424i | ||||
\(973\) | −0.0757836 | − | 0.0150743i | −0.00242951 | − | 0.000483260i | ||||
\(974\) | −35.7078 | + | 19.4390i | −1.14415 | + | 0.622867i | ||||
\(975\) | −16.4552 | − | 6.86361i | −0.526989 | − | 0.219811i | ||||
\(976\) | −40.1330 | − | 1.39858i | −1.28462 | − | 0.0447674i | ||||
\(977\) | 26.8463 | − | 7.19344i | 0.858889 | − | 0.230138i | 0.197612 | − | 0.980280i | \(-0.436682\pi\) |
0.661277 | + | 0.750142i | \(0.270015\pi\) | |||||||
\(978\) | 2.21639 | + | 21.3669i | 0.0708724 | + | 0.683237i | ||||
\(979\) | −6.12021 | + | 2.07753i | −0.195603 | + | 0.0663982i | ||||
\(980\) | 22.2699 | − | 3.27943i | 0.711387 | − | 0.104758i | ||||
\(981\) | 31.2396 | − | 6.05380i | 0.997403 | − | 0.193283i | ||||
\(982\) | 36.2221 | − | 22.9107i | 1.15589 | − | 0.731109i | ||||
\(983\) | 4.14122 | + | 31.4557i | 0.132084 | + | 1.00328i | 0.921214 | + | 0.389055i | \(0.127198\pi\) |
−0.789130 | + | 0.614226i | \(0.789468\pi\) | |||||||
\(984\) | 12.0263 | − | 4.80997i | 0.383384 | − | 0.153336i | ||||
\(985\) | 3.43605 | − | 26.0994i | 0.109482 | − | 0.831595i | ||||
\(986\) | −39.3832 | + | 18.2089i | −1.25422 | + | 0.579888i | ||||
\(987\) | −0.00217181 | − | 0.0344375i | −6.91296e−5 | − | 0.00109616i | ||||
\(988\) | 24.1477 | + | 20.5317i | 0.768241 | + | 0.653199i | ||||
\(989\) | −48.9749 | − | 73.2961i | −1.55731 | − | 2.33068i | ||||
\(990\) | −7.46332 | + | 0.755561i | −0.237200 | + | 0.0240133i | ||||
\(991\) | 2.90749i | 0.0923595i | 0.998933 | + | 0.0461797i | \(0.0147047\pi\) | ||||
−0.998933 | + | 0.0461797i | \(0.985295\pi\) | |||||||
\(992\) | −31.5064 | + | 0.174679i | −1.00033 | + | 0.00554608i | ||||
\(993\) | 17.4634 | + | 13.4688i | 0.554185 | + | 0.427418i | ||||
\(994\) | 0.0517450 | + | 0.00813680i | 0.00164125 | + | 0.000258084i | ||||
\(995\) | 11.1329 | − | 0.729687i | 0.352936 | − | 0.0231326i | ||||
\(996\) | 11.2648 | + | 0.593188i | 0.356938 | + | 0.0187959i | ||||
\(997\) | 1.43544 | − | 1.25884i | 0.0454607 | − | 0.0398680i | −0.636314 | − | 0.771430i | \(-0.719542\pi\) |
0.681775 | + | 0.731562i | \(0.261208\pi\) | |||||||
\(998\) | −18.6251 | + | 26.4160i | −0.589566 | + | 0.836183i | ||||
\(999\) | 20.4725 | + | 0.151574i | 0.647720 | + | 0.00479559i |
(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 | 576.2.bm.a.13.93 | ✓ | 1504 | |
9.7 | even | 3 | inner | 576.2.bm.a.205.29 | yes | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.517.29 | yes | 1504 | |
576.133 | even | 48 | inner | 576.2.bm.a.133.93 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.93 | ✓ | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.133.93 | yes | 1504 | 576.133 | even | 48 | inner | |
576.2.bm.a.205.29 | yes | 1504 | 9.7 | even | 3 | inner | |
576.2.bm.a.517.29 | yes | 1504 | 64.5 | even | 16 | inner |