Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [345,2,Mod(16,345)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(345, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("345.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 345 = 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 345.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.75483886973\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 16.4 | ||
Character | \(\chi\) | \(=\) | 345.16 |
Dual form | 345.2.m.c.151.4 |
$q$-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 \(\left(\mathbb{Z}/345\mathbb{Z}\right)^\times\).
\(n\) | \(116\) | \(166\) | \(277\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707484 | − | 0.816480i | 0.500266 | − | 0.577338i | −0.448313 | − | 0.893876i | \(-0.647975\pi\) |
0.948580 | + | 0.316538i | \(0.102521\pi\) | |||||||
\(3\) | 0.841254 | − | 0.540641i | 0.485698 | − | 0.312139i | ||||
\(4\) | 0.118524 | + | 0.824351i | 0.0592619 | + | 0.412176i | ||||
\(5\) | −0.415415 | − | 0.909632i | −0.185779 | − | 0.406800i | ||||
\(6\) | 0.153751 | − | 1.06936i | 0.0627685 | − | 0.436565i | ||||
\(7\) | 2.39967 | − | 0.704607i | 0.906990 | − | 0.266316i | 0.205217 | − | 0.978717i | \(-0.434210\pi\) |
0.701773 | + | 0.712400i | \(0.252392\pi\) | |||||||
\(8\) | 2.57463 | + | 1.65461i | 0.910269 | + | 0.584994i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | −1.03660 | − | 0.304372i | −0.327800 | − | 0.0962508i | ||||
\(11\) | 2.02946 | + | 2.34213i | 0.611906 | + | 0.706178i | 0.974149 | − | 0.225906i | \(-0.0725343\pi\) |
−0.362243 | + | 0.932084i | \(0.617989\pi\) | |||||||
\(12\) | 0.545386 | + | 0.629409i | 0.157439 | + | 0.181695i | ||||
\(13\) | −4.85120 | − | 1.42444i | −1.34548 | − | 0.395069i | −0.471858 | − | 0.881674i | \(-0.656417\pi\) |
−0.873622 | + | 0.486606i | \(0.838235\pi\) | |||||||
\(14\) | 1.12243 | − | 2.45778i | 0.299982 | − | 0.656869i | ||||
\(15\) | −0.841254 | − | 0.540641i | −0.217211 | − | 0.139593i | ||||
\(16\) | 1.57428 | − | 0.462250i | 0.393570 | − | 0.115563i | ||||
\(17\) | −0.628124 | + | 4.36869i | −0.152342 | + | 1.05956i | 0.759937 | + | 0.649996i | \(0.225230\pi\) |
−0.912280 | + | 0.409568i | \(0.865680\pi\) | |||||||
\(18\) | −0.448797 | − | 0.982728i | −0.105782 | − | 0.231631i | ||||
\(19\) | −1.19141 | − | 8.28644i | −0.273328 | − | 1.90104i | −0.412814 | − | 0.910815i | \(-0.635454\pi\) |
0.139486 | − | 0.990224i | \(-0.455455\pi\) | |||||||
\(20\) | 0.700619 | − | 0.450261i | 0.156663 | − | 0.100681i | ||||
\(21\) | 1.63779 | − | 1.89011i | 0.357395 | − | 0.412456i | ||||
\(22\) | 3.34811 | 0.713820 | ||||||||
\(23\) | 4.64395 | − | 1.19739i | 0.968330 | − | 0.249673i | ||||
\(24\) | 3.06047 | 0.624715 | ||||||||
\(25\) | −0.654861 | + | 0.755750i | −0.130972 | + | 0.151150i | ||||
\(26\) | −4.59517 | + | 2.95314i | −0.901187 | + | 0.579157i | ||||
\(27\) | −0.142315 | − | 0.989821i | −0.0273885 | − | 0.190491i | ||||
\(28\) | 0.865261 | + | 1.89466i | 0.163519 | + | 0.358057i | ||||
\(29\) | 0.149528 | − | 1.03999i | 0.0277666 | − | 0.193121i | −0.971217 | − | 0.238197i | \(-0.923444\pi\) |
0.998984 | + | 0.0450755i | \(0.0143528\pi\) | |||||||
\(30\) | −1.03660 | + | 0.304372i | −0.189256 | + | 0.0555704i | ||||
\(31\) | −4.73204 | − | 3.04109i | −0.849899 | − | 0.546197i | 0.0416444 | − | 0.999132i | \(-0.486740\pi\) |
−0.891543 | + | 0.452936i | \(0.850377\pi\) | |||||||
\(32\) | −1.80637 | + | 3.95539i | −0.319324 | + | 0.699222i | ||||
\(33\) | 2.97354 | + | 0.873111i | 0.517627 | + | 0.151989i | ||||
\(34\) | 3.12256 | + | 3.60363i | 0.535515 | + | 0.618017i | ||||
\(35\) | −1.63779 | − | 1.89011i | −0.276837 | − | 0.319487i | ||||
\(36\) | 0.799093 | + | 0.234635i | 0.133182 | + | 0.0391058i | ||||
\(37\) | −2.68007 | + | 5.86853i | −0.440600 | + | 0.964780i | 0.550887 | + | 0.834580i | \(0.314289\pi\) |
−0.991488 | + | 0.130201i | \(0.958438\pi\) | |||||||
\(38\) | −7.60861 | − | 4.88976i | −1.23428 | − | 0.793223i | ||||
\(39\) | −4.85120 | + | 1.42444i | −0.776813 | + | 0.228093i | ||||
\(40\) | 0.435550 | − | 3.02932i | 0.0688665 | − | 0.478977i | ||||
\(41\) | 1.30560 | + | 2.85886i | 0.203900 | + | 0.446480i | 0.983763 | − | 0.179471i | \(-0.0574385\pi\) |
−0.779863 | + | 0.625950i | \(0.784711\pi\) | |||||||
\(42\) | −0.384527 | − | 2.67445i | −0.0593339 | − | 0.412676i | ||||
\(43\) | −9.78386 | + | 6.28770i | −1.49202 | + | 0.958866i | −0.496139 | + | 0.868243i | \(0.665249\pi\) |
−0.995885 | + | 0.0906226i | \(0.971114\pi\) | |||||||
\(44\) | −1.69019 | + | 1.95059i | −0.254806 | + | 0.294062i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 2.30787 | − | 4.63882i | 0.340277 | − | 0.683957i | ||||
\(47\) | 8.62851 | 1.25860 | 0.629299 | − | 0.777163i | \(-0.283342\pi\) | ||||
0.629299 | + | 0.777163i | \(0.283342\pi\) | |||||||
\(48\) | 1.07446 | − | 1.23999i | 0.155085 | − | 0.178977i | ||||
\(49\) | −0.626829 | + | 0.402839i | −0.0895470 | + | 0.0575484i | ||||
\(50\) | 0.153751 | + | 1.06936i | 0.0217437 | + | 0.151230i | ||||
\(51\) | 1.83348 | + | 4.01477i | 0.256739 | + | 0.562180i | ||||
\(52\) | 0.599256 | − | 4.16792i | 0.0831019 | − | 0.577986i | ||||
\(53\) | −8.97083 | + | 2.63407i | −1.23224 | + | 0.361818i | −0.832094 | − | 0.554635i | \(-0.812858\pi\) |
−0.400144 | + | 0.916452i | \(0.631040\pi\) | |||||||
\(54\) | −0.908854 | − | 0.584085i | −0.123679 | − | 0.0794839i | ||||
\(55\) | 1.28740 | − | 2.81902i | 0.173593 | − | 0.380117i | ||||
\(56\) | 7.34411 | + | 2.15643i | 0.981398 | + | 0.288164i | ||||
\(57\) | −5.48226 | − | 6.32687i | −0.726144 | − | 0.838014i | ||||
\(58\) | −0.743341 | − | 0.857862i | −0.0976055 | − | 0.112643i | ||||
\(59\) | −10.9224 | − | 3.20709i | −1.42197 | − | 0.417528i | −0.521800 | − | 0.853068i | \(-0.674739\pi\) |
−0.900169 | + | 0.435540i | \(0.856557\pi\) | |||||||
\(60\) | 0.345969 | − | 0.757567i | 0.0446644 | − | 0.0978015i | ||||
\(61\) | 10.1067 | + | 6.49516i | 1.29403 | + | 0.831620i | 0.992548 | − | 0.121854i | \(-0.0388839\pi\) |
0.301477 | + | 0.953473i | \(0.402520\pi\) | |||||||
\(62\) | −5.83083 | + | 1.71209i | −0.740516 | + | 0.217435i | ||||
\(63\) | 0.355926 | − | 2.47552i | 0.0448425 | − | 0.311886i | ||||
\(64\) | 3.31470 | + | 7.25818i | 0.414338 | + | 0.907273i | ||||
\(65\) | 0.719544 | + | 5.00454i | 0.0892484 | + | 0.620736i | ||||
\(66\) | 2.81661 | − | 1.81013i | 0.346701 | − | 0.222811i | ||||
\(67\) | −4.59576 | + | 5.30379i | −0.561461 | + | 0.647961i | −0.963515 | − | 0.267655i | \(-0.913751\pi\) |
0.402054 | + | 0.915616i | \(0.368297\pi\) | |||||||
\(68\) | −3.67579 | −0.445754 | ||||||||
\(69\) | 3.25938 | − | 3.51802i | 0.392383 | − | 0.423520i | ||||
\(70\) | −2.70195 | −0.322945 | ||||||||
\(71\) | 4.10360 | − | 4.73581i | 0.487008 | − | 0.562037i | −0.458056 | − | 0.888923i | \(-0.651454\pi\) |
0.945064 | + | 0.326886i | \(0.105999\pi\) | |||||||
\(72\) | 2.57463 | − | 1.65461i | 0.303423 | − | 0.194998i | ||||
\(73\) | −2.20088 | − | 15.3074i | −0.257593 | − | 1.79160i | −0.549853 | − | 0.835262i | \(-0.685316\pi\) |
0.292259 | − | 0.956339i | \(-0.405593\pi\) | |||||||
\(74\) | 2.89543 | + | 6.34011i | 0.336587 | + | 0.737023i | ||||
\(75\) | −0.142315 | + | 0.989821i | −0.0164331 | + | 0.114295i | ||||
\(76\) | 6.68972 | − | 1.96428i | 0.767364 | − | 0.225318i | ||||
\(77\) | 6.52032 | + | 4.19036i | 0.743060 | + | 0.477535i | ||||
\(78\) | −2.26912 | + | 4.96867i | −0.256927 | + | 0.562591i | ||||
\(79\) | 6.46832 | + | 1.89927i | 0.727743 | + | 0.213685i | 0.624559 | − | 0.780978i | \(-0.285279\pi\) |
0.103184 | + | 0.994662i | \(0.467097\pi\) | |||||||
\(80\) | −1.07446 | − | 1.23999i | −0.120128 | − | 0.138635i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 3.25789 | + | 0.956604i | 0.359774 | + | 0.105639i | ||||
\(83\) | −5.93120 | + | 12.9875i | −0.651034 | + | 1.42557i | 0.239612 | + | 0.970869i | \(0.422980\pi\) |
−0.890646 | + | 0.454697i | \(0.849748\pi\) | |||||||
\(84\) | 1.75223 | + | 1.12609i | 0.191184 | + | 0.122867i | ||||
\(85\) | 4.23484 | − | 1.24346i | 0.459333 | − | 0.134872i | ||||
\(86\) | −1.78814 | + | 12.4368i | −0.192820 | + | 1.34109i | ||||
\(87\) | −0.436470 | − | 0.955735i | −0.0467945 | − | 0.102466i | ||||
\(88\) | 1.34980 | + | 9.38808i | 0.143889 | + | 1.00077i | ||||
\(89\) | −4.99424 | + | 3.20960i | −0.529388 | + | 0.340217i | −0.777876 | − | 0.628418i | \(-0.783703\pi\) |
0.248488 | + | 0.968635i | \(0.420066\pi\) | |||||||
\(90\) | −0.707484 | + | 0.816480i | −0.0745753 | + | 0.0860645i | ||||
\(91\) | −12.6449 | −1.32555 | ||||||||
\(92\) | 1.53749 | + | 3.68632i | 0.160294 | + | 0.384326i | ||||
\(93\) | −5.62498 | −0.583283 | ||||||||
\(94\) | 6.10453 | − | 7.04500i | 0.629634 | − | 0.726637i | ||||
\(95\) | −7.04268 | + | 4.52606i | −0.722564 | + | 0.464363i | ||||
\(96\) | 0.618834 | + | 4.30409i | 0.0631595 | + | 0.439284i | ||||
\(97\) | −4.84371 | − | 10.6062i | −0.491804 | − | 1.07690i | −0.979047 | − | 0.203634i | \(-0.934725\pi\) |
0.487243 | − | 0.873266i | \(-0.338002\pi\) | |||||||
\(98\) | −0.114562 | + | 0.796795i | −0.0115725 | + | 0.0804884i | ||||
\(99\) | 2.97354 | − | 0.873111i | 0.298852 | − | 0.0877509i | ||||
\(100\) | −0.700619 | − | 0.450261i | −0.0700619 | − | 0.0450261i | ||||
\(101\) | 1.72669 | − | 3.78092i | 0.171812 | − | 0.376216i | −0.804064 | − | 0.594543i | \(-0.797333\pi\) |
0.975876 | + | 0.218328i | \(0.0700602\pi\) | |||||||
\(102\) | 4.57514 | + | 1.34338i | 0.453006 | + | 0.133015i | ||||
\(103\) | 3.51924 | + | 4.06141i | 0.346761 | + | 0.400183i | 0.902161 | − | 0.431400i | \(-0.141980\pi\) |
−0.555400 | + | 0.831583i | \(0.687435\pi\) | |||||||
\(104\) | −10.1331 | − | 11.6943i | −0.993635 | − | 1.14672i | ||||
\(105\) | −2.39967 | − | 0.704607i | −0.234184 | − | 0.0687626i | ||||
\(106\) | −4.19605 | + | 9.18806i | −0.407556 | + | 0.892423i | ||||
\(107\) | 3.60514 | + | 2.31689i | 0.348522 | + | 0.223982i | 0.703176 | − | 0.711016i | \(-0.251765\pi\) |
−0.354653 | + | 0.934998i | \(0.615401\pi\) | |||||||
\(108\) | 0.799093 | − | 0.234635i | 0.0768927 | − | 0.0225777i | ||||
\(109\) | 0.422082 | − | 2.93565i | 0.0404281 | − | 0.281184i | −0.959572 | − | 0.281464i | \(-0.909180\pi\) |
1.00000 | 0.000280043i | \(8.91405e-5\pi\) | ||||||||
\(110\) | −1.39086 | − | 3.04555i | −0.132613 | − | 0.290382i | ||||
\(111\) | 0.918150 | + | 6.38587i | 0.0871469 | + | 0.606120i | ||||
\(112\) | 3.45205 | − | 2.21850i | 0.326188 | − | 0.209628i | ||||
\(113\) | 11.1969 | − | 12.9219i | 1.05332 | − | 1.21559i | 0.0775042 | − | 0.996992i | \(-0.475305\pi\) |
0.975814 | − | 0.218602i | \(-0.0701497\pi\) | |||||||
\(114\) | −9.04437 | −0.847083 | ||||||||
\(115\) | −3.01835 | − | 3.72687i | −0.281463 | − | 0.347532i | ||||
\(116\) | 0.875039 | 0.0812453 | ||||||||
\(117\) | −3.31098 | + | 3.82107i | −0.306100 | + | 0.353258i | ||||
\(118\) | −10.3459 | + | 6.64891i | −0.952418 | + | 0.612082i | ||||
\(119\) | 1.57092 | + | 10.9260i | 0.144006 | + | 1.00159i | ||||
\(120\) | −1.27136 | − | 2.78390i | −0.116059 | − | 0.254134i | ||||
\(121\) | 0.198632 | − | 1.38151i | 0.0180574 | − | 0.125592i | ||||
\(122\) | 12.4535 | − | 3.65667i | 1.12748 | − | 0.331059i | ||||
\(123\) | 2.64396 | + | 1.69917i | 0.238398 | + | 0.153209i | ||||
\(124\) | 1.94607 | − | 4.26130i | 0.174762 | − | 0.382676i | ||||
\(125\) | 0.959493 | + | 0.281733i | 0.0858197 | + | 0.0251989i | ||||
\(126\) | −1.76940 | − | 2.04200i | −0.157631 | − | 0.181916i | ||||
\(127\) | −0.107995 | − | 0.124633i | −0.00958300 | − | 0.0110594i | 0.750938 | − | 0.660373i | \(-0.229602\pi\) |
−0.760521 | + | 0.649314i | \(0.775056\pi\) | |||||||
\(128\) | −0.0731612 | − | 0.0214821i | −0.00646660 | − | 0.00189876i | ||||
\(129\) | −4.83132 | + | 10.5791i | −0.425374 | + | 0.931438i | ||||
\(130\) | 4.59517 | + | 2.95314i | 0.403023 | + | 0.259007i | ||||
\(131\) | 11.1709 | − | 3.28006i | 0.976002 | − | 0.286580i | 0.245429 | − | 0.969415i | \(-0.421071\pi\) |
0.730573 | + | 0.682835i | \(0.239253\pi\) | |||||||
\(132\) | −0.367314 | + | 2.55473i | −0.0319706 | + | 0.222360i | ||||
\(133\) | −8.69767 | − | 19.0452i | −0.754184 | − | 1.65143i | ||||
\(134\) | 1.07901 | + | 7.50469i | 0.0932123 | + | 0.648306i | ||||
\(135\) | −0.841254 | + | 0.540641i | −0.0724036 | + | 0.0465310i | ||||
\(136\) | −8.84568 | + | 10.2085i | −0.758511 | + | 0.875369i | ||||
\(137\) | −3.02846 | −0.258739 | −0.129369 | − | 0.991596i | \(-0.541295\pi\) | ||||
−0.129369 | + | 0.991596i | \(0.541295\pi\) | |||||||
\(138\) | −0.566433 | − | 5.15016i | −0.0482179 | − | 0.438410i | ||||
\(139\) | 9.83875 | 0.834512 | 0.417256 | − | 0.908789i | \(-0.362992\pi\) | ||||
0.417256 | + | 0.908789i | \(0.362992\pi\) | |||||||
\(140\) | 1.36400 | − | 1.57414i | 0.115279 | − | 0.133039i | ||||
\(141\) | 7.25877 | − | 4.66493i | 0.611298 | − | 0.392858i | ||||
\(142\) | −0.963460 | − | 6.70101i | −0.0808518 | − | 0.562336i | ||||
\(143\) | −6.50911 | − | 14.2530i | −0.544319 | − | 1.19189i | ||||
\(144\) | 0.233502 | − | 1.62404i | 0.0194585 | − | 0.135337i | ||||
\(145\) | −1.00812 | + | 0.296012i | −0.0837201 | + | 0.0245824i | ||||
\(146\) | −14.0553 | − | 9.03279i | −1.16322 | − | 0.747559i | ||||
\(147\) | −0.309531 | + | 0.677779i | −0.0255297 | + | 0.0559022i | ||||
\(148\) | −5.15538 | − | 1.51376i | −0.423770 | − | 0.124430i | ||||
\(149\) | −10.5563 | − | 12.1826i | −0.864806 | − | 0.998039i | −0.999974 | − | 0.00721648i | \(-0.997703\pi\) |
0.135168 | − | 0.990823i | \(-0.456843\pi\) | |||||||
\(150\) | 0.707484 | + | 0.816480i | 0.0577658 | + | 0.0666653i | ||||
\(151\) | 4.90056 | + | 1.43893i | 0.398802 | + | 0.117099i | 0.474982 | − | 0.879995i | \(-0.342454\pi\) |
−0.0761807 | + | 0.997094i | \(0.524273\pi\) | |||||||
\(152\) | 10.6434 | − | 23.3058i | 0.863295 | − | 1.89035i | ||||
\(153\) | 3.71297 | + | 2.38618i | 0.300176 | + | 0.192911i | ||||
\(154\) | 8.03436 | − | 2.35910i | 0.647427 | − | 0.190102i | ||||
\(155\) | −0.800518 | + | 5.56773i | −0.0642992 | + | 0.447211i | ||||
\(156\) | −1.74922 | − | 3.83026i | −0.140050 | − | 0.306666i | ||||
\(157\) | 0.913149 | + | 6.35109i | 0.0728772 | + | 0.506872i | 0.993265 | + | 0.115865i | \(0.0369641\pi\) |
−0.920388 | + | 0.391007i | \(0.872127\pi\) | |||||||
\(158\) | 6.12694 | − | 3.93755i | 0.487433 | − | 0.313254i | ||||
\(159\) | −6.12265 | + | 7.06592i | −0.485558 | + | 0.560364i | ||||
\(160\) | 4.34835 | 0.343767 | ||||||||
\(161\) | 10.3003 | − | 6.14550i | 0.811774 | − | 0.484333i | ||||
\(162\) | −1.08036 | −0.0848809 | ||||||||
\(163\) | 9.78889 | − | 11.2970i | 0.766725 | − | 0.884848i | −0.229352 | − | 0.973344i | \(-0.573661\pi\) |
0.996077 | + | 0.0884960i | \(0.0282061\pi\) | |||||||
\(164\) | −2.20196 | + | 1.41512i | −0.171944 | + | 0.110502i | ||||
\(165\) | −0.441045 | − | 3.06753i | −0.0343353 | − | 0.238807i | ||||
\(166\) | 6.40782 | + | 14.0312i | 0.497343 | + | 1.08903i | ||||
\(167\) | −0.923653 | + | 6.42415i | −0.0714744 | + | 0.497116i | 0.922368 | + | 0.386313i | \(0.126251\pi\) |
−0.993842 | + | 0.110803i | \(0.964658\pi\) | |||||||
\(168\) | 7.34411 | − | 2.15643i | 0.566610 | − | 0.166372i | ||||
\(169\) | 10.5688 | + | 6.79215i | 0.812983 | + | 0.522473i | ||||
\(170\) | 1.98082 | − | 4.33739i | 0.151922 | − | 0.332662i | ||||
\(171\) | −8.03254 | − | 2.35857i | −0.614264 | − | 0.180364i | ||||
\(172\) | −6.34289 | − | 7.32009i | −0.483641 | − | 0.558152i | ||||
\(173\) | −4.08917 | − | 4.71915i | −0.310894 | − | 0.358790i | 0.578702 | − | 0.815539i | \(-0.303559\pi\) |
−0.889596 | + | 0.456749i | \(0.849014\pi\) | |||||||
\(174\) | −1.08913 | − | 0.319799i | −0.0825670 | − | 0.0242439i | ||||
\(175\) | −1.03894 | + | 2.27497i | −0.0785367 | + | 0.171971i | ||||
\(176\) | 4.27759 | + | 2.74904i | 0.322436 | + | 0.207217i | ||||
\(177\) | −10.9224 | + | 3.20709i | −0.820974 | + | 0.241060i | ||||
\(178\) | −0.912767 | + | 6.34844i | −0.0684148 | + | 0.475835i | ||||
\(179\) | 1.52765 | + | 3.34508i | 0.114182 | + | 0.250023i | 0.958092 | − | 0.286462i | \(-0.0924792\pi\) |
−0.843910 | + | 0.536485i | \(0.819752\pi\) | |||||||
\(180\) | −0.118524 | − | 0.824351i | −0.00883424 | − | 0.0614435i | ||||
\(181\) | 9.97798 | − | 6.41246i | 0.741657 | − | 0.476634i | −0.114452 | − | 0.993429i | \(-0.536511\pi\) |
0.856109 | + | 0.516795i | \(0.172875\pi\) | |||||||
\(182\) | −8.94609 | + | 10.3243i | −0.663128 | + | 0.765291i | ||||
\(183\) | 12.0138 | 0.888087 | ||||||||
\(184\) | 13.9377 | + | 4.60110i | 1.02750 | + | 0.339198i | ||||
\(185\) | 6.45154 | 0.474327 | ||||||||
\(186\) | −3.97958 | + | 4.59268i | −0.291797 | + | 0.336752i | ||||
\(187\) | −11.5068 | + | 7.39496i | −0.841460 | + | 0.540773i | ||||
\(188\) | 1.02268 | + | 7.11292i | 0.0745869 | + | 0.518763i | ||||
\(189\) | −1.03894 | − | 2.27497i | −0.0755720 | − | 0.165480i | ||||
\(190\) | −1.28715 | + | 8.95231i | −0.0933796 | + | 0.649469i | ||||
\(191\) | 6.25399 | − | 1.83634i | 0.452523 | − | 0.132873i | −0.0475257 | − | 0.998870i | \(-0.515134\pi\) |
0.500049 | + | 0.865997i | \(0.333315\pi\) | |||||||
\(192\) | 6.71257 | + | 4.31391i | 0.484438 | + | 0.311330i | ||||
\(193\) | −2.97134 | + | 6.50632i | −0.213882 | + | 0.468335i | −0.985915 | − | 0.167246i | \(-0.946512\pi\) |
0.772034 | + | 0.635582i | \(0.219240\pi\) | |||||||
\(194\) | −12.0866 | − | 3.54895i | −0.867768 | − | 0.254800i | ||||
\(195\) | 3.31098 | + | 3.82107i | 0.237104 | + | 0.273633i | ||||
\(196\) | −0.406374 | − | 0.468981i | −0.0290267 | − | 0.0334987i | ||||
\(197\) | 2.74559 | + | 0.806179i | 0.195615 | + | 0.0574379i | 0.378073 | − | 0.925776i | \(-0.376587\pi\) |
−0.182457 | + | 0.983214i | \(0.558405\pi\) | |||||||
\(198\) | 1.39086 | − | 3.04555i | 0.0988438 | − | 0.216438i | ||||
\(199\) | 4.89013 | + | 3.14269i | 0.346652 | + | 0.222780i | 0.702367 | − | 0.711815i | \(-0.252126\pi\) |
−0.355716 | + | 0.934594i | \(0.615763\pi\) | |||||||
\(200\) | −2.93650 | + | 0.862233i | −0.207642 | + | 0.0609691i | ||||
\(201\) | −0.998754 | + | 6.94648i | −0.0704467 | + | 0.489967i | ||||
\(202\) | −1.86544 | − | 4.08474i | −0.131252 | − | 0.287402i | ||||
\(203\) | −0.373966 | − | 2.60099i | −0.0262473 | − | 0.182554i | ||||
\(204\) | −3.09227 | + | 1.98728i | −0.216502 | + | 0.139137i | ||||
\(205\) | 2.05815 | − | 2.37523i | 0.143747 | − | 0.165893i | ||||
\(206\) | 5.80586 | 0.404514 | ||||||||
\(207\) | 0.839980 | − | 4.72170i | 0.0583826 | − | 0.328181i | ||||
\(208\) | −8.29559 | −0.575196 | ||||||||
\(209\) | 16.9900 | − | 19.6075i | 1.17522 | − | 1.35628i | ||||
\(210\) | −2.27302 | + | 1.46078i | −0.156854 | + | 0.100804i | ||||
\(211\) | −2.09307 | − | 14.5576i | −0.144093 | − | 1.00219i | −0.925657 | − | 0.378363i | \(-0.876487\pi\) |
0.781565 | − | 0.623824i | \(-0.214422\pi\) | |||||||
\(212\) | −3.23466 | − | 7.08291i | −0.222157 | − | 0.486456i | ||||
\(213\) | 0.891798 | − | 6.20259i | 0.0611050 | − | 0.424994i | ||||
\(214\) | 4.44227 | − | 1.30437i | 0.303667 | − | 0.0891648i | ||||
\(215\) | 9.78386 | + | 6.28770i | 0.667254 | + | 0.428818i | ||||
\(216\) | 1.27136 | − | 2.78390i | 0.0865053 | − | 0.189420i | ||||
\(217\) | −13.4981 | − | 3.96340i | −0.916311 | − | 0.269053i | ||||
\(218\) | −2.09828 | − | 2.42154i | −0.142113 | − | 0.164008i | ||||
\(219\) | −10.1273 | − | 11.6876i | −0.684341 | − | 0.789772i | ||||
\(220\) | 2.47645 | + | 0.727151i | 0.166962 | + | 0.0490245i | ||||
\(221\) | 9.27009 | − | 20.2987i | 0.623574 | − | 1.36544i | ||||
\(222\) | 5.86351 | + | 3.76825i | 0.393533 | + | 0.252908i | ||||
\(223\) | −26.3039 | + | 7.72353i | −1.76144 | + | 0.517206i | −0.992514 | − | 0.122131i | \(-0.961027\pi\) |
−0.768927 | + | 0.639337i | \(0.779209\pi\) | |||||||
\(224\) | −1.54769 | + | 10.7644i | −0.103409 | + | 0.719228i | ||||
\(225\) | 0.415415 | + | 0.909632i | 0.0276943 | + | 0.0606421i | ||||
\(226\) | −2.62886 | − | 18.2841i | −0.174869 | − | 1.21624i | ||||
\(227\) | 2.69783 | − | 1.73379i | 0.179061 | − | 0.115076i | −0.448040 | − | 0.894014i | \(-0.647878\pi\) |
0.627101 | + | 0.778938i | \(0.284241\pi\) | |||||||
\(228\) | 4.56578 | − | 5.26919i | 0.302376 | − | 0.348961i | ||||
\(229\) | 9.14163 | 0.604096 | 0.302048 | − | 0.953293i | \(-0.402330\pi\) | ||||
0.302048 | + | 0.953293i | \(0.402330\pi\) | |||||||
\(230\) | −5.17835 | − | 0.172277i | −0.341450 | − | 0.0113596i | ||||
\(231\) | 7.75072 | 0.509960 | ||||||||
\(232\) | 2.10576 | − | 2.43017i | 0.138250 | − | 0.159549i | ||||
\(233\) | 6.34613 | − | 4.07841i | 0.415749 | − | 0.267186i | −0.316001 | − | 0.948759i | \(-0.602340\pi\) |
0.731750 | + | 0.681573i | \(0.238704\pi\) | |||||||
\(234\) | 0.777364 | + | 5.40669i | 0.0508179 | + | 0.353446i | ||||
\(235\) | −3.58441 | − | 7.84877i | −0.233821 | − | 0.511997i | ||||
\(236\) | 1.34921 | − | 9.38397i | 0.0878262 | − | 0.610844i | ||||
\(237\) | 6.46832 | − | 1.89927i | 0.420162 | − | 0.123371i | ||||
\(238\) | 10.0323 | + | 6.44734i | 0.650295 | + | 0.417919i | ||||
\(239\) | 4.46122 | − | 9.76872i | 0.288573 | − | 0.631886i | −0.708715 | − | 0.705495i | \(-0.750725\pi\) |
0.997287 | + | 0.0736096i | \(0.0234519\pi\) | |||||||
\(240\) | −1.57428 | − | 0.462250i | −0.101619 | − | 0.0298381i | ||||
\(241\) | 2.23458 | + | 2.57884i | 0.143942 | + | 0.166118i | 0.823142 | − | 0.567835i | \(-0.192219\pi\) |
−0.679201 | + | 0.733953i | \(0.737673\pi\) | |||||||
\(242\) | −0.987450 | − | 1.13958i | −0.0634757 | − | 0.0732548i | ||||
\(243\) | −0.959493 | − | 0.281733i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | −4.15641 | + | 9.10127i | −0.266087 | + | 0.582649i | ||||
\(245\) | 0.626829 | + | 0.402839i | 0.0400466 | + | 0.0257364i | ||||
\(246\) | 3.25789 | − | 0.956604i | 0.207716 | − | 0.0609909i | ||||
\(247\) | −6.02377 | + | 41.8962i | −0.383283 | + | 2.66579i | ||||
\(248\) | −7.15140 | − | 15.6594i | −0.454114 | − | 0.994372i | ||||
\(249\) | 2.03194 | + | 14.1324i | 0.128769 | + | 0.895607i | ||||
\(250\) | 0.908854 | − | 0.584085i | 0.0574810 | − | 0.0369408i | ||||
\(251\) | −17.0337 | + | 19.6579i | −1.07516 | + | 1.24080i | −0.105996 | + | 0.994367i | \(0.533803\pi\) |
−0.969161 | + | 0.246430i | \(0.920742\pi\) | |||||||
\(252\) | 2.08288 | 0.131209 | ||||||||
\(253\) | 12.2292 | + | 8.44665i | 0.768841 | + | 0.531036i | ||||
\(254\) | −0.178165 | −0.0111790 | ||||||||
\(255\) | 2.89031 | − | 3.33559i | 0.180998 | − | 0.208883i | ||||
\(256\) | −13.4944 | + | 8.67235i | −0.843403 | + | 0.542022i | ||||
\(257\) | −2.49867 | − | 17.3787i | −0.155863 | − | 1.08405i | −0.906155 | − | 0.422945i | \(-0.860996\pi\) |
0.750292 | − | 0.661106i | \(-0.229913\pi\) | |||||||
\(258\) | 5.21955 | + | 11.4292i | 0.324955 | + | 0.711552i | ||||
\(259\) | −2.29627 | + | 15.9709i | −0.142683 | + | 0.992385i | ||||
\(260\) | −4.04021 | + | 1.18631i | −0.250563 | + | 0.0735720i | ||||
\(261\) | −0.883891 | − | 0.568042i | −0.0547115 | − | 0.0351609i | ||||
\(262\) | 5.22509 | − | 11.4414i | 0.322807 | − | 0.706849i | ||||
\(263\) | 19.9893 | + | 5.86940i | 1.23259 | + | 0.361922i | 0.832228 | − | 0.554433i | \(-0.187065\pi\) |
0.400366 | + | 0.916355i | \(0.368883\pi\) | |||||||
\(264\) | 6.21111 | + | 7.16800i | 0.382267 | + | 0.441160i | ||||
\(265\) | 6.12265 | + | 7.06592i | 0.376112 | + | 0.434056i | ||||
\(266\) | −21.7035 | − | 6.37273i | −1.33073 | − | 0.390737i | ||||
\(267\) | −2.46618 | + | 5.40018i | −0.150928 | + | 0.330486i | ||||
\(268\) | −4.91689 | − | 3.15989i | −0.300347 | − | 0.193021i | ||||
\(269\) | 4.53536 | − | 1.33170i | 0.276526 | − | 0.0811952i | −0.140529 | − | 0.990077i | \(-0.544880\pi\) |
0.417055 | + | 0.908881i | \(0.363062\pi\) | |||||||
\(270\) | −0.153751 | + | 1.06936i | −0.00935698 | + | 0.0650792i | ||||
\(271\) | −9.01019 | − | 19.7296i | −0.547330 | − | 1.19849i | −0.958018 | − | 0.286709i | \(-0.907439\pi\) |
0.410688 | − | 0.911776i | \(-0.365289\pi\) | |||||||
\(272\) | 1.03059 | + | 7.16790i | 0.0624886 | + | 0.434618i | ||||
\(273\) | −10.6376 | + | 6.83637i | −0.643817 | + | 0.413756i | ||||
\(274\) | −2.14259 | + | 2.47268i | −0.129438 | + | 0.149380i | ||||
\(275\) | −3.09908 | −0.186881 | ||||||||
\(276\) | 3.28640 | + | 2.26990i | 0.197818 | + | 0.136632i | ||||
\(277\) | 9.27565 | 0.557320 | 0.278660 | − | 0.960390i | \(-0.410110\pi\) | ||||
0.278660 | + | 0.960390i | \(0.410110\pi\) | |||||||
\(278\) | 6.96075 | − | 8.03314i | 0.417478 | − | 0.481796i | ||||
\(279\) | −4.73204 | + | 3.04109i | −0.283300 | + | 0.182066i | ||||
\(280\) | −1.08930 | − | 7.57625i | −0.0650981 | − | 0.452767i | ||||
\(281\) | 0.935042 | + | 2.04746i | 0.0557799 | + | 0.122141i | 0.935470 | − | 0.353407i | \(-0.114977\pi\) |
−0.879690 | + | 0.475548i | \(0.842250\pi\) | |||||||
\(282\) | 1.32664 | − | 9.22699i | 0.0790003 | − | 0.549459i | ||||
\(283\) | 10.2855 | − | 3.02008i | 0.611407 | − | 0.179525i | 0.0386529 | − | 0.999253i | \(-0.487693\pi\) |
0.572754 | + | 0.819728i | \(0.305875\pi\) | |||||||
\(284\) | 4.39034 | + | 2.82150i | 0.260519 | + | 0.167425i | ||||
\(285\) | −3.47771 | + | 7.61512i | −0.206002 | + | 0.451081i | ||||
\(286\) | −16.2423 | − | 4.76918i | −0.960430 | − | 0.282008i | ||||
\(287\) | 5.14738 | + | 5.94040i | 0.303840 | + | 0.350651i | ||||
\(288\) | 2.84756 | + | 3.28626i | 0.167794 | + | 0.193645i | ||||
\(289\) | −2.37958 | − | 0.698706i | −0.139975 | − | 0.0411004i | ||||
\(290\) | −0.471543 | + | 1.03254i | −0.0276900 | + | 0.0606326i | ||||
\(291\) | −9.80895 | − | 6.30383i | −0.575011 | − | 0.369537i | ||||
\(292\) | 12.3578 | − | 3.62859i | 0.723188 | − | 0.212347i | ||||
\(293\) | −2.39898 | + | 16.6853i | −0.140150 | + | 0.974763i | 0.791439 | + | 0.611249i | \(0.209332\pi\) |
−0.931588 | + | 0.363515i | \(0.881577\pi\) | |||||||
\(294\) | 0.334404 | + | 0.732243i | 0.0195029 | + | 0.0427053i | ||||
\(295\) | 1.62004 | + | 11.2676i | 0.0943221 | + | 0.656025i | ||||
\(296\) | −16.6103 | + | 10.6748i | −0.965455 | + | 0.620460i | ||||
\(297\) | 2.02946 | − | 2.34213i | 0.117761 | − | 0.135904i | ||||
\(298\) | −17.4153 | −1.00884 | ||||||||
\(299\) | −24.2343 | − | 0.806243i | −1.40151 | − | 0.0466262i | ||||
\(300\) | −0.832828 | −0.0480833 | ||||||||
\(301\) | −19.0477 | + | 21.9822i | −1.09789 | + | 1.26703i | ||||
\(302\) | 4.64192 | − | 2.98318i | 0.267113 | − | 0.171663i | ||||
\(303\) | −0.591537 | − | 4.11423i | −0.0339829 | − | 0.236356i | ||||
\(304\) | −5.70602 | − | 12.4944i | −0.327263 | − | 0.716605i | ||||
\(305\) | 1.70974 | − | 11.8915i | 0.0978996 | − | 0.680907i | ||||
\(306\) | 4.57514 | − | 1.34338i | 0.261543 | − | 0.0767960i | ||||
\(307\) | −6.74486 | − | 4.33466i | −0.384950 | − | 0.247392i | 0.333825 | − | 0.942635i | \(-0.391660\pi\) |
−0.718775 | + | 0.695243i | \(0.755297\pi\) | |||||||
\(308\) | −2.68151 | + | 5.87169i | −0.152793 | + | 0.334571i | ||||
\(309\) | 5.15634 | + | 1.51404i | 0.293334 | + | 0.0861306i | ||||
\(310\) | 3.97958 | + | 4.59268i | 0.226025 | + | 0.260847i | ||||
\(311\) | 0.175579 | + | 0.202629i | 0.00995618 | + | 0.0114900i | 0.760706 | − | 0.649097i | \(-0.224853\pi\) |
−0.750750 | + | 0.660587i | \(0.770308\pi\) | |||||||
\(312\) | −14.8469 | − | 4.35945i | −0.840542 | − | 0.246805i | ||||
\(313\) | −1.13329 | + | 2.48156i | −0.0640575 | + | 0.140266i | −0.938953 | − | 0.344045i | \(-0.888203\pi\) |
0.874896 | + | 0.484312i | \(0.160930\pi\) | |||||||
\(314\) | 5.83157 | + | 3.74772i | 0.329095 | + | 0.211496i | ||||
\(315\) | −2.39967 | + | 0.704607i | −0.135206 | + | 0.0397001i | ||||
\(316\) | −0.799015 | + | 5.55727i | −0.0449481 | + | 0.312621i | ||||
\(317\) | 8.66321 | + | 18.9698i | 0.486574 | + | 1.06545i | 0.980603 | + | 0.196003i | \(0.0627963\pi\) |
−0.494029 | + | 0.869445i | \(0.664476\pi\) | |||||||
\(318\) | 1.43750 | + | 9.99804i | 0.0806111 | + | 0.560662i | ||||
\(319\) | 2.73925 | − | 1.76041i | 0.153368 | − | 0.0985639i | ||||
\(320\) | 5.22530 | − | 6.03032i | 0.292103 | − | 0.337105i | ||||
\(321\) | 4.28544 | 0.239190 | ||||||||
\(322\) | 2.26958 | − | 12.7578i | 0.126479 | − | 0.710964i | ||||
\(323\) | 36.9493 | 2.05591 | ||||||||
\(324\) | 0.545386 | − | 0.629409i | 0.0302992 | − | 0.0349672i | ||||
\(325\) | 4.25338 | − | 2.73348i | 0.235935 | − | 0.151626i | ||||
\(326\) | −2.29827 | − | 15.9849i | −0.127290 | − | 0.885319i | ||||
\(327\) | −1.23205 | − | 2.69782i | −0.0681326 | − | 0.149190i | ||||
\(328\) | −1.36888 | + | 9.52078i | −0.0755838 | + | 0.525697i | ||||
\(329\) | 20.7056 | − | 6.07971i | 1.14154 | − | 0.335185i | ||||
\(330\) | −2.81661 | − | 1.81013i | −0.155049 | − | 0.0996441i | ||||
\(331\) | 3.22504 | − | 7.06186i | 0.177264 | − | 0.388155i | −0.800055 | − | 0.599927i | \(-0.795196\pi\) |
0.977319 | + | 0.211772i | \(0.0679235\pi\) | |||||||
\(332\) | −11.4093 | − | 3.35006i | −0.626165 | − | 0.183859i | ||||
\(333\) | 4.22486 | + | 4.87575i | 0.231521 | + | 0.267189i | ||||
\(334\) | 4.59172 | + | 5.29912i | 0.251248 | + | 0.289955i | ||||
\(335\) | 6.73364 | + | 1.97718i | 0.367898 | + | 0.108025i | ||||
\(336\) | 1.70464 | − | 3.73264i | 0.0929956 | − | 0.203632i | ||||
\(337\) | 10.6082 | + | 6.81747i | 0.577865 | + | 0.371371i | 0.796686 | − | 0.604394i | \(-0.206585\pi\) |
−0.218821 | + | 0.975765i | \(0.570221\pi\) | |||||||
\(338\) | 13.0229 | − | 3.82387i | 0.708352 | − | 0.207991i | ||||
\(339\) | 2.43332 | − | 16.9241i | 0.132160 | − | 0.919193i | ||||
\(340\) | 1.52698 | + | 3.34361i | 0.0828119 | + | 0.181333i | ||||
\(341\) | −2.48087 | − | 17.2548i | −0.134347 | − | 0.934401i | ||||
\(342\) | −7.60861 | + | 4.88976i | −0.411427 | + | 0.264408i | ||||
\(343\) | −12.6849 | + | 14.6391i | −0.684919 | + | 0.790439i | ||||
\(344\) | −35.5935 | −1.91907 | ||||||||
\(345\) | −4.55410 | − | 1.50340i | −0.245184 | − | 0.0809402i | ||||
\(346\) | −6.74611 | −0.362673 | ||||||||
\(347\) | −19.1121 | + | 22.0566i | −1.02599 | + | 1.18406i | −0.0432541 | + | 0.999064i | \(0.513772\pi\) |
−0.982739 | + | 0.184995i | \(0.940773\pi\) | |||||||
\(348\) | 0.736129 | − | 0.473082i | 0.0394607 | − | 0.0253598i | ||||
\(349\) | 0.137285 | + | 0.954841i | 0.00734872 | + | 0.0511115i | 0.993166 | − | 0.116712i | \(-0.0372353\pi\) |
−0.985817 | + | 0.167823i | \(0.946326\pi\) | |||||||
\(350\) | 1.12243 | + | 2.45778i | 0.0599964 | + | 0.131374i | ||||
\(351\) | −0.719544 | + | 5.00454i | −0.0384064 | + | 0.267122i | ||||
\(352\) | −12.9300 | + | 3.79659i | −0.689171 | + | 0.202359i | ||||
\(353\) | 19.4428 | + | 12.4951i | 1.03483 | + | 0.665048i | 0.943704 | − | 0.330791i | \(-0.107316\pi\) |
0.0911306 | + | 0.995839i | \(0.470952\pi\) | |||||||
\(354\) | −5.10886 | + | 11.1868i | −0.271533 | + | 0.594574i | ||||
\(355\) | −6.01254 | − | 1.76544i | −0.319112 | − | 0.0936999i | ||||
\(356\) | −3.23778 | − | 3.73659i | −0.171602 | − | 0.198039i | ||||
\(357\) | 7.22859 | + | 8.34224i | 0.382578 | + | 0.441518i | ||||
\(358\) | 3.81197 | + | 1.11930i | 0.201469 | + | 0.0591566i | ||||
\(359\) | −3.32072 | + | 7.27135i | −0.175261 | + | 0.383767i | −0.976793 | − | 0.214184i | \(-0.931291\pi\) |
0.801533 | + | 0.597951i | \(0.204018\pi\) | |||||||
\(360\) | −2.57463 | − | 1.65461i | −0.135695 | − | 0.0872058i | ||||
\(361\) | −49.0152 | + | 14.3922i | −2.57975 | + | 0.757483i | ||||
\(362\) | 1.82362 | − | 12.6835i | 0.0958471 | − | 0.666631i | ||||
\(363\) | −0.579803 | − | 1.26959i | −0.0304318 | − | 0.0666363i | ||||
\(364\) | −1.49873 | − | 10.4239i | −0.0785546 | − | 0.546359i | ||||
\(365\) | −13.0099 | + | 8.36093i | −0.680967 | + | 0.437631i | ||||
\(366\) | 8.49957 | − | 9.80903i | 0.444280 | − | 0.512726i | ||||
\(367\) | −15.5771 | −0.813119 | −0.406559 | − | 0.913624i | \(-0.633272\pi\) | ||||
−0.406559 | + | 0.913624i | \(0.633272\pi\) | |||||||
\(368\) | 6.75738 | − | 4.03170i | 0.352253 | − | 0.210167i | ||||
\(369\) | 3.14288 | 0.163612 | ||||||||
\(370\) | 4.56436 | − | 5.26755i | 0.237290 | − | 0.273847i | ||||
\(371\) | −19.6710 | + | 12.6418i | −1.02127 | + | 0.656330i | ||||
\(372\) | −0.666694 | − | 4.63696i | −0.0345665 | − | 0.240415i | ||||
\(373\) | 3.94580 | + | 8.64010i | 0.204306 | + | 0.447367i | 0.983854 | − | 0.178975i | \(-0.0572783\pi\) |
−0.779548 | + | 0.626343i | \(0.784551\pi\) | |||||||
\(374\) | −2.10303 | + | 14.6269i | −0.108745 | + | 0.756338i | ||||
\(375\) | 0.959493 | − | 0.281733i | 0.0495480 | − | 0.0145486i | ||||
\(376\) | 22.2152 | + | 14.2768i | 1.14566 | + | 0.736272i | ||||
\(377\) | −2.20679 | + | 4.83220i | −0.113656 | + | 0.248871i | ||||
\(378\) | −2.59250 | − | 0.761227i | −0.133344 | − | 0.0391533i | ||||
\(379\) | −20.6598 | − | 23.8427i | −1.06122 | − | 1.22472i | −0.973528 | − | 0.228569i | \(-0.926595\pi\) |
−0.0876951 | − | 0.996147i | \(-0.527950\pi\) | |||||||
\(380\) | −4.56578 | − | 5.26919i | −0.234220 | − | 0.270304i | ||||
\(381\) | −0.158233 | − | 0.0464613i | −0.00810650 | − | 0.00238028i | ||||
\(382\) | 2.92527 | − | 6.40544i | 0.149670 | − | 0.327731i | ||||
\(383\) | 16.5393 | + | 10.6292i | 0.845120 | + | 0.543126i | 0.890049 | − | 0.455864i | \(-0.150670\pi\) |
−0.0449291 | + | 0.998990i | \(0.514306\pi\) | |||||||
\(384\) | −0.0731612 | + | 0.0214821i | −0.00373349 | + | 0.00109625i | ||||
\(385\) | 1.10304 | − | 7.67183i | 0.0562163 | − | 0.390993i | ||||
\(386\) | 3.21011 | + | 7.02915i | 0.163390 | + | 0.357774i | ||||
\(387\) | 1.65513 | + | 11.5117i | 0.0841352 | + | 0.585173i | ||||
\(388\) | 8.16917 | − | 5.25000i | 0.414727 | − | 0.266529i | ||||
\(389\) | 9.71959 | − | 11.2170i | 0.492803 | − | 0.568725i | −0.453809 | − | 0.891099i | \(-0.649935\pi\) |
0.946612 | + | 0.322374i | \(0.104481\pi\) | |||||||
\(390\) | 5.46229 | 0.276594 | ||||||||
\(391\) | 2.31407 | + | 21.0401i | 0.117027 | + | 1.06404i | ||||
\(392\) | −2.28039 | −0.115177 | ||||||||
\(393\) | 7.62418 | − | 8.79878i | 0.384589 | − | 0.443840i | ||||
\(394\) | 2.60069 | − | 1.67136i | 0.131021 | − | 0.0842020i | ||||
\(395\) | −0.959400 | − | 6.67277i | −0.0482727 | − | 0.335744i | ||||
\(396\) | 1.07219 | + | 2.34776i | 0.0538793 | + | 0.117979i | ||||
\(397\) | 0.750568 | − | 5.22032i | 0.0376699 | − | 0.262000i | −0.962279 | − | 0.272063i | \(-0.912294\pi\) |
0.999949 | + | 0.0100629i | \(0.00320316\pi\) | |||||||
\(398\) | 6.02563 | − | 1.76928i | 0.302037 | − | 0.0886862i | ||||
\(399\) | −17.6136 | − | 11.3196i | −0.881782 | − | 0.566687i | ||||
\(400\) | −0.681589 | + | 1.49247i | −0.0340794 | + | 0.0746235i | ||||
\(401\) | −6.92609 | − | 2.03368i | −0.345872 | − | 0.101557i | 0.104183 | − | 0.994558i | \(-0.466777\pi\) |
−0.450055 | + | 0.893001i | \(0.648596\pi\) | |||||||
\(402\) | 4.96506 | + | 5.72999i | 0.247635 | + | 0.285786i | ||||
\(403\) | 18.6242 | + | 21.4935i | 0.927737 | + | 1.07067i | ||||
\(404\) | 3.32146 | + | 0.975268i | 0.165249 | + | 0.0485214i | ||||
\(405\) | −0.415415 | + | 0.909632i | −0.0206421 | + | 0.0452000i | ||||
\(406\) | −2.38823 | − | 1.53482i | −0.118526 | − | 0.0761719i | ||||
\(407\) | −19.1839 | + | 5.63291i | −0.950912 | + | 0.279213i | ||||
\(408\) | −1.92235 | + | 13.3702i | −0.0951706 | + | 0.661926i | ||||
\(409\) | −3.91433 | − | 8.57119i | −0.193551 | − | 0.423818i | 0.787829 | − | 0.615894i | \(-0.211205\pi\) |
−0.981380 | + | 0.192076i | \(0.938478\pi\) | |||||||
\(410\) | −0.483221 | − | 3.36087i | −0.0238646 | − | 0.165982i | ||||
\(411\) | −2.54770 | + | 1.63731i | −0.125669 | + | 0.0807625i | ||||
\(412\) | −2.93092 | + | 3.38246i | −0.144396 | + | 0.166642i | ||||
\(413\) | −28.4698 | −1.40091 | ||||||||
\(414\) | −3.26090 | − | 4.02635i | −0.160264 | − | 0.197884i | ||||
\(415\) | 14.2778 | 0.700868 | ||||||||
\(416\) | 14.3973 | − | 16.6153i | 0.705884 | − | 0.814634i | ||||
\(417\) | 8.27688 | − | 5.31923i | 0.405321 | − | 0.260484i | ||||
\(418\) | −3.98897 | − | 27.7439i | −0.195107 | − | 1.35700i | ||||
\(419\) | 9.00006 | + | 19.7074i | 0.439682 | + | 0.962769i | 0.991657 | + | 0.128908i | \(0.0411472\pi\) |
−0.551975 | + | 0.833861i | \(0.686126\pi\) | |||||||
\(420\) | 0.296425 | − | 2.06168i | 0.0144641 | − | 0.100600i | ||||
\(421\) | 21.4952 | − | 6.31156i | 1.04761 | − | 0.307607i | 0.287760 | − | 0.957703i | \(-0.407089\pi\) |
0.759852 | + | 0.650096i | \(0.225271\pi\) | |||||||
\(422\) | −13.3668 | − | 8.59032i | −0.650685 | − | 0.418170i | ||||
\(423\) | 3.58441 | − | 7.84877i | 0.174280 | − | 0.381620i | ||||
\(424\) | −27.4549 | − | 8.06149i | −1.33333 | − | 0.391501i | ||||
\(425\) | −2.89031 | − | 3.33559i | −0.140200 | − | 0.161800i | ||||
\(426\) | −4.43336 | − | 5.11636i | −0.214797 | − | 0.247889i | ||||
\(427\) | 28.8292 | + | 8.46501i | 1.39514 | + | 0.409651i | ||||
\(428\) | −1.48263 | + | 3.24651i | −0.0716657 | + | 0.156926i | ||||
\(429\) | −13.1815 | − | 8.47127i | −0.636411 | − | 0.408997i | ||||
\(430\) | 12.0557 | − | 3.53987i | 0.581377 | − | 0.170708i | ||||
\(431\) | −0.556516 | + | 3.87065i | −0.0268064 | + | 0.186443i | −0.998825 | − | 0.0484608i | \(-0.984568\pi\) |
0.972019 | + | 0.234904i | \(0.0754775\pi\) | |||||||
\(432\) | −0.681589 | − | 1.49247i | −0.0327930 | − | 0.0718065i | ||||
\(433\) | 0.568406 | + | 3.95335i | 0.0273159 | + | 0.189986i | 0.998911 | − | 0.0466650i | \(-0.0148593\pi\) |
−0.971595 | + | 0.236651i | \(0.923950\pi\) | |||||||
\(434\) | −12.7857 | + | 8.21688i | −0.613734 | + | 0.394423i | ||||
\(435\) | −0.688051 | + | 0.794054i | −0.0329895 | + | 0.0380720i | ||||
\(436\) | 2.47003 | 0.118293 | ||||||||
\(437\) | −15.4550 | − | 37.0552i | −0.739311 | − | 1.77259i | ||||
\(438\) | −16.7076 | −0.798318 | ||||||||
\(439\) | 18.8871 | − | 21.7969i | 0.901431 | − | 1.04031i | −0.0975524 | − | 0.995230i | \(-0.531101\pi\) |
0.998984 | − | 0.0450766i | \(-0.0143532\pi\) | |||||||
\(440\) | 7.97897 | − | 5.12777i | 0.380383 | − | 0.244457i | ||||
\(441\) | 0.106041 | + | 0.737529i | 0.00504955 | + | 0.0351204i | ||||
\(442\) | −10.0150 | − | 21.9298i | −0.476366 | − | 1.04310i | ||||
\(443\) | −4.82406 | + | 33.5521i | −0.229198 | + | 1.59411i | 0.472302 | + | 0.881437i | \(0.343423\pi\) |
−0.701500 | + | 0.712669i | \(0.747486\pi\) | |||||||
\(444\) | −5.15538 | + | 1.51376i | −0.244663 | + | 0.0718397i | ||||
\(445\) | 4.99424 | + | 3.20960i | 0.236750 | + | 0.152150i | ||||
\(446\) | −12.3035 | + | 26.9409i | −0.582587 | + | 1.27569i | ||||
\(447\) | −15.4669 | − | 4.54151i | −0.731562 | − | 0.214806i | ||||
\(448\) | 13.0684 | + | 15.0817i | 0.617422 | + | 0.712542i | ||||
\(449\) | −21.6233 | − | 24.9546i | −1.02047 | − | 1.17768i | −0.983968 | − | 0.178346i | \(-0.942925\pi\) |
−0.0364975 | − | 0.999334i | \(-0.511620\pi\) | |||||||
\(450\) | 1.03660 | + | 0.304372i | 0.0488656 | + | 0.0143482i | ||||
\(451\) | −4.04615 | + | 8.85984i | −0.190526 | + | 0.417194i | ||||
\(452\) | 11.9793 | + | 7.69864i | 0.563460 | + | 0.362114i | ||||
\(453\) | 4.90056 | − | 1.43893i | 0.230248 | − | 0.0676070i | ||||
\(454\) | 0.493066 | − | 3.42935i | 0.0231407 | − | 0.160947i | ||||
\(455\) | 5.25290 | + | 11.5022i | 0.246260 | + | 0.539233i | ||||
\(456\) | −3.64627 | − | 25.3604i | −0.170752 | − | 1.18761i | ||||
\(457\) | 23.5271 | − | 15.1199i | 1.10055 | − | 0.707281i | 0.141337 | − | 0.989962i | \(-0.454860\pi\) |
0.959214 | + | 0.282681i | \(0.0912236\pi\) | |||||||
\(458\) | 6.46755 | − | 7.46395i | 0.302209 | − | 0.348768i | ||||
\(459\) | 4.41362 | 0.206010 | ||||||||
\(460\) | 2.71450 | − | 2.92990i | 0.126564 | − | 0.136607i | ||||
\(461\) | 33.4177 | 1.55642 | 0.778209 | − | 0.628005i | \(-0.216128\pi\) | ||||
0.778209 | + | 0.628005i | \(0.216128\pi\) | |||||||
\(462\) | 5.48351 | − | 6.32831i | 0.255116 | − | 0.294419i | ||||
\(463\) | 14.0177 | − | 9.00861i | 0.651456 | − | 0.418666i | −0.172742 | − | 0.984967i | \(-0.555263\pi\) |
0.824198 | + | 0.566302i | \(0.191626\pi\) | |||||||
\(464\) | −0.245337 | − | 1.70635i | −0.0113895 | − | 0.0792155i | ||||
\(465\) | 2.33670 | + | 5.11666i | 0.108362 | + | 0.237280i | ||||
\(466\) | 1.15984 | − | 8.06689i | 0.0537288 | − | 0.373692i | ||||
\(467\) | −14.8962 | + | 4.37393i | −0.689315 | + | 0.202401i | −0.607587 | − | 0.794253i | \(-0.707862\pi\) |
−0.0817285 | + | 0.996655i | \(0.526044\pi\) | |||||||
\(468\) | −3.54233 | − | 2.27652i | −0.163744 | − | 0.105232i | ||||
\(469\) | −7.29122 | + | 15.9655i | −0.336677 | + | 0.737220i | ||||
\(470\) | −8.94427 | − | 2.62628i | −0.412569 | − | 0.121141i | ||||
\(471\) | 4.20185 | + | 4.84919i | 0.193611 | + | 0.223439i | ||||
\(472\) | −22.8145 | − | 26.3293i | −1.05012 | − | 1.21191i | ||||
\(473\) | −34.5826 | − | 10.1544i | −1.59011 | − | 0.466898i | ||||
\(474\) | 3.02551 | − | 6.62495i | 0.138966 | − | 0.304294i | ||||
\(475\) | 7.04268 | + | 4.52606i | 0.323140 | + | 0.207670i | ||||
\(476\) | −8.82067 | + | 2.58998i | −0.404295 | + | 0.118712i | ||||
\(477\) | −1.33058 | + | 9.25438i | −0.0609230 | + | 0.423729i | ||||
\(478\) | −4.81972 | − | 10.5537i | −0.220449 | − | 0.482715i | ||||
\(479\) | 4.49018 | + | 31.2299i | 0.205162 | + | 1.42693i | 0.788666 | + | 0.614821i | \(0.210772\pi\) |
−0.583505 | + | 0.812110i | \(0.698319\pi\) | |||||||
\(480\) | 3.65806 | − | 2.35089i | 0.166967 | − | 0.107303i | ||||
\(481\) | 21.3609 | − | 24.6518i | 0.973973 | − | 1.12402i | ||||
\(482\) | 3.68650 | 0.167915 | ||||||||
\(483\) | 5.34262 | − | 10.7387i | 0.243097 | − | 0.488626i | ||||
\(484\) | 1.16240 | 0.0528362 | ||||||||
\(485\) | −7.63562 | + | 8.81198i | −0.346716 | + | 0.400131i | ||||
\(486\) | −0.908854 | + | 0.584085i | −0.0412265 | + | 0.0264946i | ||||
\(487\) | 4.07805 | + | 28.3635i | 0.184794 | + | 1.28527i | 0.845236 | + | 0.534394i | \(0.179460\pi\) |
−0.660442 | + | 0.750877i | \(0.729631\pi\) | |||||||
\(488\) | 15.2739 | + | 33.4452i | 0.691418 | + | 1.51399i | ||||
\(489\) | 2.12733 | − | 14.7959i | 0.0962011 | − | 0.669093i | ||||
\(490\) | 0.772381 | − | 0.226791i | 0.0348926 | − | 0.0102454i | ||||
\(491\) | 8.89089 | + | 5.71383i | 0.401240 | + | 0.257861i | 0.725662 | − | 0.688051i | \(-0.241533\pi\) |
−0.324422 | + | 0.945912i | \(0.605170\pi\) | |||||||
\(492\) | −1.08734 | + | 2.38094i | −0.0490211 | + | 0.107341i | ||||
\(493\) | 4.44947 | + | 1.30648i | 0.200394 | + | 0.0588410i | ||||
\(494\) | 29.9457 | + | 34.5592i | 1.34732 | + | 1.55489i | ||||
\(495\) | −2.02946 | − | 2.34213i | −0.0912176 | − | 0.105271i | ||||
\(496\) | −8.85530 | − | 2.60015i | −0.397615 | − | 0.116750i | ||||
\(497\) | 6.51041 | − | 14.2558i | 0.292032 | − | 0.639460i | ||||
\(498\) | 12.9764 | + | 8.33944i | 0.581487 | + | 0.373699i | ||||
\(499\) | 33.2493 | − | 9.76287i | 1.48844 | − | 0.437046i | 0.566398 | − | 0.824132i | \(-0.308336\pi\) |
0.922044 | + | 0.387085i | \(0.126518\pi\) | |||||||
\(500\) | −0.118524 | + | 0.824351i | −0.00530054 | + | 0.0368661i | ||||
\(501\) | 2.69613 | + | 5.90370i | 0.120454 | + | 0.263758i | ||||
\(502\) | 3.99924 | + | 27.8153i | 0.178495 | + | 1.24146i | ||||
\(503\) | 18.5980 | − | 11.9522i | 0.829245 | − | 0.532923i | −0.0557931 | − | 0.998442i | \(-0.517769\pi\) |
0.885038 | + | 0.465519i | \(0.154132\pi\) | |||||||
\(504\) | 5.01241 | − | 5.78463i | 0.223270 | − | 0.257668i | ||||
\(505\) | −4.15654 | −0.184963 | ||||||||
\(506\) | 15.5485 | − | 4.00900i | 0.691213 | − | 0.178222i | ||||
\(507\) | 12.5631 | 0.557949 | ||||||||
\(508\) | 0.0899412 | − | 0.103798i | 0.00399049 | − | 0.00460528i | ||||
\(509\) | 3.53306 | − | 2.27056i | 0.156600 | − | 0.100641i | −0.459994 | − | 0.887922i | \(-0.652148\pi\) |
0.616594 | + | 0.787281i | \(0.288512\pi\) | |||||||
\(510\) | −0.678598 | − | 4.71975i | −0.0300488 | − | 0.208994i | ||||
\(511\) | −16.0671 | − | 35.1821i | −0.710767 | − | 1.55636i | ||||
\(512\) | −2.44460 | + | 17.0025i | −0.108037 | + | 0.751413i | ||||
\(513\) | −8.03254 | + | 2.35857i | −0.354645 | + | 0.104133i | ||||
\(514\) | −15.9571 | − | 10.2550i | −0.703837 | − | 0.452329i | ||||
\(515\) | 2.23245 | − | 4.88838i | 0.0983735 | − | 0.215408i | ||||
\(516\) | −9.29352 | − | 2.72882i | −0.409124 | − | 0.120130i | ||||
\(517\) | 17.5113 | + | 20.2091i | 0.770144 | + | 0.888794i | ||||
\(518\) | 11.4154 | + | 13.1740i | 0.501562 | + | 0.578834i | ||||
\(519\) | −5.99139 | − | 1.75923i | −0.262993 | − | 0.0772217i | ||||
\(520\) | −6.42802 | + | 14.0754i | −0.281887 | + | 0.617247i | ||||
\(521\) | 24.3267 | + | 15.6338i | 1.06577 | + | 0.684930i | 0.951228 | − | 0.308488i | \(-0.0998231\pi\) |
0.114544 | + | 0.993418i | \(0.463459\pi\) | |||||||
\(522\) | −1.08913 | + | 0.319799i | −0.0476701 | + | 0.0139972i | ||||
\(523\) | 1.83305 | − | 12.7491i | 0.0801536 | − | 0.557480i | −0.909687 | − | 0.415296i | \(-0.863678\pi\) |
0.989840 | − | 0.142185i | \(-0.0454128\pi\) | |||||||
\(524\) | 4.02793 | + | 8.81994i | 0.175961 | + | 0.385301i | ||||
\(525\) | 0.355926 | + | 2.47552i | 0.0155339 | + | 0.108041i | ||||
\(526\) | 18.9344 | − | 12.1684i | 0.825577 | − | 0.530566i | ||||
\(527\) | 16.2579 | − | 18.7626i | 0.708206 | − | 0.817313i | ||||
\(528\) | 5.08478 | 0.221287 | ||||||||
\(529\) | 20.1325 | − | 11.1212i | 0.875326 | − | 0.483533i | ||||
\(530\) | 10.1009 | 0.438753 | ||||||||
\(531\) | −7.45458 | + | 8.60305i | −0.323501 | + | 0.373340i | ||||
\(532\) | 14.6691 | − | 9.42725i | 0.635985 | − | 0.408723i | ||||
\(533\) | −2.26144 | − | 15.7287i | −0.0979538 | − | 0.681284i | ||||
\(534\) | 2.66435 | + | 5.83412i | 0.115298 | + | 0.252467i | ||||
\(535\) | 0.609882 | − | 4.24182i | 0.0263675 | − | 0.183390i | ||||
\(536\) | −20.6081 | + | 6.05108i | −0.890134 | + | 0.261367i | ||||
\(537\) | 3.09362 | + | 1.98815i | 0.133500 | + | 0.0857951i | ||||
\(538\) | 2.12138 | − | 4.64518i | 0.0914593 | − | 0.200268i | ||||
\(539\) | −2.21563 | − | 0.650566i | −0.0954337 | − | 0.0280219i | ||||
\(540\) | −0.545386 | − | 0.629409i | −0.0234697 | − | 0.0270855i | ||||
\(541\) | −9.46242 | − | 10.9202i | −0.406821 | − | 0.469497i | 0.514956 | − | 0.857217i | \(-0.327808\pi\) |
−0.921777 | + | 0.387720i | \(0.873263\pi\) | |||||||
\(542\) | −22.4833 | − | 6.60170i | −0.965742 | − | 0.283567i | ||||
\(543\) | 4.92717 | − | 10.7890i | 0.211445 | − | 0.463001i | ||||
\(544\) | −16.1453 | − | 10.3759i | −0.692224 | − | 0.444865i | ||||
\(545\) | −2.84570 | + | 0.835572i | −0.121896 | + | 0.0357920i | ||||
\(546\) | −1.94417 | + | 13.5220i | −0.0832028 | + | 0.578688i | ||||
\(547\) | −11.7296 | − | 25.6842i | −0.501521 | − | 1.09818i | −0.975972 | − | 0.217896i | \(-0.930081\pi\) |
0.474451 | − | 0.880282i | \(-0.342647\pi\) | |||||||
\(548\) | −0.358945 | − | 2.49652i | −0.0153334 | − | 0.106646i | ||||
\(549\) | 10.1067 | − | 6.49516i | 0.431342 | − | 0.277207i | ||||
\(550\) | −2.19255 | + | 2.53033i | −0.0934905 | + | 0.107894i | ||||
\(551\) | −8.79595 | −0.374720 | ||||||||
\(552\) | 14.2126 | − | 3.66458i | 0.604930 | − | 0.155975i | ||||
\(553\) | 16.8601 | 0.716963 | ||||||||
\(554\) | 6.56237 | − | 7.57338i | 0.278808 | − | 0.321762i | ||||
\(555\) | 5.42738 | − | 3.48797i | 0.230380 | − | 0.148056i | ||||
\(556\) | 1.16613 | + | 8.11058i | 0.0494547 | + | 0.343965i | ||||
\(557\) | 1.69790 | + | 3.71789i | 0.0719424 | + | 0.157532i | 0.942187 | − | 0.335089i | \(-0.108766\pi\) |
−0.870244 | + | 0.492621i | \(0.836039\pi\) | |||||||
\(558\) | −0.864846 | + | 6.01514i | −0.0366118 | + | 0.254641i | ||||
\(559\) | 56.4199 | − | 16.5664i | 2.38631 | − | 0.700683i | ||||
\(560\) | −3.45205 | − | 2.21850i | −0.145876 | − | 0.0937486i | ||||
\(561\) | −5.68211 | + | 12.4421i | −0.239899 | + | 0.525305i | ||||
\(562\) | 2.33323 | + | 0.685099i | 0.0984215 | + | 0.0288992i | ||||
\(563\) | −10.4992 | − | 12.1167i | −0.442487 | − | 0.510657i | 0.490068 | − | 0.871684i | \(-0.336972\pi\) |
−0.932556 | + | 0.361027i | \(0.882426\pi\) | |||||||
\(564\) | 4.70587 | + | 5.43087i | 0.198153 | + | 0.228681i | ||||
\(565\) | −16.4056 | − | 4.81711i | −0.690188 | − | 0.202658i | ||||
\(566\) | 4.81095 | − | 10.5345i | 0.202219 | − | 0.442799i | ||||
\(567\) | −2.10396 | − | 1.35213i | −0.0883578 | − | 0.0567841i | ||||
\(568\) | 18.4012 | − | 5.40307i | 0.772096 | − | 0.226708i | ||||
\(569\) | 1.94557 | − | 13.5317i | 0.0815624 | − | 0.567279i | −0.907531 | − | 0.419986i | \(-0.862035\pi\) |
0.989093 | − | 0.147293i | \(-0.0470559\pi\) | |||||||
\(570\) | 3.75717 | + | 8.22705i | 0.157370 | + | 0.344593i | ||||
\(571\) | −0.289610 | − | 2.01428i | −0.0121198 | − | 0.0842951i | 0.982864 | − | 0.184333i | \(-0.0590126\pi\) |
−0.994984 | + | 0.100038i | \(0.968103\pi\) | |||||||
\(572\) | 10.9780 | − | 7.05511i | 0.459012 | − | 0.294989i | ||||
\(573\) | 4.26839 | − | 4.92599i | 0.178315 | − | 0.205786i | ||||
\(574\) | 8.49190 | 0.354445 | ||||||||
\(575\) | −2.13621 | + | 4.29379i | −0.0890862 | + | 0.179063i | ||||
\(576\) | 7.97925 | 0.332469 | ||||||||
\(577\) | −6.12073 | + | 7.06370i | −0.254809 | + | 0.294065i | −0.868713 | − | 0.495315i | \(-0.835053\pi\) |
0.613904 | + | 0.789381i | \(0.289598\pi\) | |||||||
\(578\) | −2.25399 | + | 1.44855i | −0.0937536 | + | 0.0602518i | ||||
\(579\) | 1.01793 | + | 7.07989i | 0.0423039 | + | 0.294230i | ||||
\(580\) | −0.363504 | − | 0.795963i | −0.0150937 | − | 0.0330506i | ||||
\(581\) | −5.08183 | + | 35.3449i | −0.210830 | + | 1.46635i | ||||
\(582\) | −12.0866 | + | 3.54895i | −0.501006 | + | 0.147109i | ||||
\(583\) | −24.3753 | − | 15.6651i | −1.00952 | − | 0.648780i | ||||
\(584\) | 19.6615 | − | 43.0526i | 0.813597 | − | 1.78153i | ||||
\(585\) | 4.85120 | + | 1.42444i | 0.200572 | + | 0.0588933i | ||||
\(586\) | 11.9259 | + | 13.7633i | 0.492656 | + | 0.568555i | ||||
\(587\) | −27.6197 | − | 31.8748i | −1.13999 | − | 1.31561i | −0.942078 | − | 0.335393i | \(-0.891131\pi\) |
−0.197908 | − | 0.980221i | \(-0.563415\pi\) | |||||||
\(588\) | −0.595414 | − | 0.174829i | −0.0245545 | − | 0.00720984i | ||||
\(589\) | −19.5620 | + | 42.8349i | −0.806040 | + | 1.76498i | ||||
\(590\) | 10.3459 | + | 6.64891i | 0.425934 | + | 0.273731i | ||||
\(591\) | 2.74559 | − | 0.806179i | 0.112939 | − | 0.0331618i | ||||
\(592\) | −1.50645 | + | 10.4776i | −0.0619146 | + | 0.430625i | ||||
\(593\) | 5.07808 | + | 11.1194i | 0.208532 | + | 0.456621i | 0.984780 | − | 0.173807i | \(-0.0556069\pi\) |
−0.776248 | + | 0.630428i | \(0.782880\pi\) | |||||||
\(594\) | −0.476486 | − | 3.31403i | −0.0195505 | − | 0.135976i | ||||
\(595\) | 9.28606 | − | 5.96779i | 0.380691 | − | 0.244655i | ||||
\(596\) | 8.79158 | − | 10.1460i | 0.360117 | − | 0.415597i | ||||
\(597\) | 5.81290 | 0.237906 | ||||||||
\(598\) | −17.8037 | + | 19.2164i | −0.728046 | + | 0.785818i | ||||
\(599\) | −25.6961 | −1.04991 | −0.524957 | − | 0.851129i | \(-0.675919\pi\) | ||||
−0.524957 | + | 0.851129i | \(0.675919\pi\) | |||||||
\(600\) | −2.00418 | + | 2.31295i | −0.0818203 | + | 0.0944256i | ||||
\(601\) | 5.16181 | − | 3.31729i | 0.210555 | − | 0.135315i | −0.431113 | − | 0.902298i | \(-0.641879\pi\) |
0.641668 | + | 0.766983i | \(0.278243\pi\) | |||||||
\(602\) | 4.47209 | + | 31.1041i | 0.182269 | + | 1.26771i | ||||
\(603\) | 2.91535 | + | 6.38372i | 0.118722 | + | 0.259965i | ||||
\(604\) | −0.605354 | + | 4.21033i | −0.0246315 | + | 0.171316i | ||||
\(605\) | −1.33918 | + | 0.393220i | −0.0544456 | + | 0.0159867i | ||||
\(606\) | −3.77769 | − | 2.42777i | −0.153458 | − | 0.0986215i | ||||
\(607\) | −2.58566 | + | 5.66180i | −0.104949 | + | 0.229805i | −0.954820 | − | 0.297185i | \(-0.903952\pi\) |
0.849871 | + | 0.526990i | \(0.176680\pi\) | |||||||
\(608\) | 34.9283 | + | 10.2559i | 1.41653 | + | 0.415930i | ||||
\(609\) | −1.72080 | − | 1.98591i | −0.0697304 | − | 0.0804731i | ||||
\(610\) | −8.49957 | − | 9.80903i | −0.344138 | − | 0.397156i | ||||
\(611\) | −41.8586 | − | 12.2908i | −1.69342 | − | 0.497232i | ||||
\(612\) | −1.52698 | + | 3.34361i | −0.0617244 | + | 0.135158i | ||||
\(613\) | −24.6338 | − | 15.8312i | −0.994950 | − | 0.639415i | −0.0614938 | − | 0.998107i | \(-0.519586\pi\) |
−0.933456 | + | 0.358692i | \(0.883223\pi\) | |||||||
\(614\) | −8.31104 | + | 2.44034i | −0.335406 | + | 0.0984842i | ||||
\(615\) | 0.447279 | − | 3.11089i | 0.0180360 | − | 0.125443i | ||||
\(616\) | 9.85399 | + | 21.5772i | 0.397028 | + | 0.869371i | ||||
\(617\) | −2.51454 | − | 17.4890i | −0.101231 | − | 0.704080i | −0.975718 | − | 0.219031i | \(-0.929711\pi\) |
0.874487 | − | 0.485050i | \(-0.161199\pi\) | |||||||
\(618\) | 4.88420 | − | 3.13889i | 0.196471 | − | 0.126265i | ||||
\(619\) | −18.8469 | + | 21.7505i | −0.757521 | + | 0.874226i | −0.995275 | − | 0.0970993i | \(-0.969044\pi\) |
0.237753 | + | 0.971326i | \(0.423589\pi\) | |||||||
\(620\) | −4.68464 | −0.188140 | ||||||||
\(621\) | −1.84611 | − | 4.42627i | −0.0740817 | − | 0.177620i | ||||
\(622\) | 0.289662 | 0.0116144 | ||||||||
\(623\) | −9.72302 | + | 11.2210i | −0.389545 | + | 0.449558i | ||||
\(624\) | −6.97869 | + | 4.48493i | −0.279371 | + | 0.179541i | ||||
\(625\) | −0.142315 | − | 0.989821i | −0.00569259 | − | 0.0395929i | ||||
\(626\) | 1.22436 | + | 2.68098i | 0.0489353 | + | 0.107153i | ||||
\(627\) | 3.69227 | − | 25.6803i | 0.147455 | − | 1.02557i | ||||
\(628\) | −5.12730 | + | 1.50551i | −0.204601 | + | 0.0600764i | ||||
\(629\) | −23.9544 | − | 15.3946i | −0.955124 | − | 0.613821i | ||||
\(630\) | −1.12243 | + | 2.45778i | −0.0447187 | + | 0.0979203i | ||||
\(631\) | −11.1748 | − | 3.28121i | −0.444861 | − | 0.130623i | 0.0516271 | − | 0.998666i | \(-0.483559\pi\) |
−0.496488 | + | 0.868043i | \(0.665377\pi\) | |||||||
\(632\) | 13.5110 | + | 15.5925i | 0.537437 | + | 0.620235i | ||||
\(633\) | −9.63123 | − | 11.1150i | −0.382807 | − | 0.441783i | ||||
\(634\) | 21.6175 | + | 6.34747i | 0.858541 | + | 0.252090i | ||||
\(635\) | −0.0685072 | + | 0.150010i | −0.00271863 | + | 0.00595296i | ||||
\(636\) | −6.55048 | − | 4.20974i | −0.259743 | − | 0.166927i | ||||
\(637\) | 3.61469 | − | 1.06137i | 0.143219 | − | 0.0420530i | ||||
\(638\) | 0.500636 | − | 3.48200i | 0.0198204 | − | 0.137854i | ||||
\(639\) | −2.60314 | − | 5.70009i | −0.102979 | − | 0.225492i | ||||
\(640\) | 0.0108515 | + | 0.0754737i | 0.000428943 | + | 0.00298336i | ||||
\(641\) | 16.7053 | − | 10.7359i | 0.659821 | − | 0.424041i | −0.167422 | − | 0.985885i | \(-0.553544\pi\) |
0.827243 | + | 0.561844i | \(0.189908\pi\) | |||||||
\(642\) | 3.03188 | − | 3.49898i | 0.119659 | − | 0.138094i | ||||
\(643\) | −13.5334 | −0.533705 | −0.266853 | − | 0.963737i | \(-0.585984\pi\) | ||||
−0.266853 | + | 0.963737i | \(0.585984\pi\) | |||||||
\(644\) | 6.28688 | + | 7.76264i | 0.247738 | + | 0.305891i | ||||
\(645\) | 11.6301 | 0.457934 | ||||||||
\(646\) | 26.1410 | − | 30.1683i | 1.02850 | − | 1.18696i | ||||
\(647\) | −4.84456 | + | 3.11341i | −0.190459 | + | 0.122401i | −0.632395 | − | 0.774646i | \(-0.717928\pi\) |
0.441936 | + | 0.897047i | \(0.354292\pi\) | |||||||
\(648\) | −0.435550 | − | 3.02932i | −0.0171100 | − | 0.119003i | ||||
\(649\) | −14.6551 | − | 32.0902i | −0.575263 | − | 1.25965i | ||||
\(650\) | 0.777364 | − | 5.40669i | 0.0304907 | − | 0.212068i | ||||
\(651\) | −13.4981 | + | 3.96340i | −0.529032 | + | 0.155338i | ||||
\(652\) | 10.4729 | + | 6.73052i | 0.410150 | + | 0.263587i | ||||
\(653\) | −11.0950 | + | 24.2946i | −0.434180 | + | 0.950722i | 0.558450 | + | 0.829538i | \(0.311396\pi\) |
−0.992630 | + | 0.121184i | \(0.961331\pi\) | |||||||
\(654\) | −3.07437 | − | 0.902716i | −0.120217 | − | 0.0352990i | ||||
\(655\) | −7.62418 | − | 8.79878i | −0.297902 | − | 0.343797i | ||||
\(656\) | 3.37689 | + | 3.89714i | 0.131845 | + | 0.152158i | ||||
\(657\) | −14.8384 | − | 4.35695i | −0.578902 | − | 0.169981i | ||||
\(658\) | 9.68490 | − | 21.2070i | 0.377557 | − | 0.826734i | ||||
\(659\) | 0.630832 | + | 0.405411i | 0.0245737 | + | 0.0157926i | 0.552870 | − | 0.833268i | \(-0.313533\pi\) |
−0.528296 | + | 0.849060i | \(0.677169\pi\) | |||||||
\(660\) | 2.47645 | − | 0.727151i | 0.0963957 | − | 0.0283043i | ||||
\(661\) | 0.269130 | − | 1.87184i | 0.0104680 | − | 0.0728063i | −0.983918 | − | 0.178622i | \(-0.942836\pi\) |
0.994386 | + | 0.105815i | \(0.0337453\pi\) | |||||||
\(662\) | −3.48420 | − | 7.62933i | −0.135417 | − | 0.296522i | ||||
\(663\) | −3.17579 | − | 22.0881i | −0.123338 | − | 0.857832i | ||||
\(664\) | −36.7600 | + | 23.6242i | −1.42656 | + | 0.916796i | ||||
\(665\) | −13.7110 | + | 15.8234i | −0.531690 | + | 0.613604i | ||||
\(666\) | 6.96997 | 0.270081 | ||||||||
\(667\) | −0.550875 | − | 5.00870i | −0.0213300 | − | 0.193938i | ||||
\(668\) | −5.40523 | −0.209135 | ||||||||
\(669\) | −17.9526 | + | 20.7184i | −0.694088 | + | 0.801020i | ||||
\(670\) | 6.37826 | − | 4.09906i | 0.246414 | − | 0.158361i | ||||
\(671\) | 5.29863 | + | 36.8528i | 0.204551 | + | 1.42269i | ||||
\(672\) | 4.51769 | + | 9.89235i | 0.174274 | + | 0.381606i | ||||
\(673\) | −4.23121 | + | 29.4287i | −0.163101 | + | 1.13439i | 0.729643 | + | 0.683828i | \(0.239686\pi\) |
−0.892744 | + | 0.450564i | \(0.851223\pi\) | |||||||
\(674\) | 13.0714 | − | 3.83812i | 0.503493 | − | 0.147839i | ||||
\(675\) | 0.841254 | + | 0.540641i | 0.0323799 | + | 0.0208093i | ||||
\(676\) | −4.34646 | + | 9.51742i | −0.167172 | + | 0.366055i | ||||
\(677\) | −3.60179 | − | 1.05758i | −0.138428 | − | 0.0406462i | 0.211784 | − | 0.977316i | \(-0.432073\pi\) |
−0.350213 | + | 0.936670i | \(0.613891\pi\) | |||||||
\(678\) | −12.0967 | − | 13.9603i | −0.464570 | − | 0.536143i | ||||
\(679\) | −19.0965 | − | 22.0386i | −0.732857 | − | 0.845762i | ||||
\(680\) | 12.9606 | + | 3.80557i | 0.497015 | + | 0.145937i | ||||
\(681\) | 1.33220 | − | 2.91711i | 0.0510500 | − | 0.111784i | ||||
\(682\) | −15.8434 | − | 10.1819i | −0.606674 | − | 0.389886i | ||||
\(683\) | −44.7511 | + | 13.1401i | −1.71236 | + | 0.502793i | −0.983351 | − | 0.181717i | \(-0.941835\pi\) |
−0.729004 | + | 0.684509i | \(0.760016\pi\) | |||||||
\(684\) | 0.992239 | − | 6.90118i | 0.0379392 | − | 0.263873i | ||||
\(685\) | 1.25807 | + | 2.75479i | 0.0480683 | + | 0.105255i | ||||
\(686\) | 2.97821 | + | 20.7139i | 0.113709 | + | 0.790860i | ||||
\(687\) | 7.69043 | − | 4.94234i | 0.293408 | − | 0.188562i | ||||
\(688\) | −12.4960 | + | 14.4212i | −0.476407 | + | 0.549803i | ||||
\(689\) | 47.2713 | 1.80089 | ||||||||
\(690\) | −4.44944 | + | 2.65470i | −0.169387 | + | 0.101063i | ||||
\(691\) | −39.2320 | −1.49245 | −0.746227 | − | 0.665692i | \(-0.768137\pi\) | ||||
−0.746227 | + | 0.665692i | \(0.768137\pi\) | |||||||
\(692\) | 3.40557 | − | 3.93024i | 0.129460 | − | 0.149405i | ||||
\(693\) | 6.52032 | − | 4.19036i | 0.247687 | − | 0.159178i | ||||
\(694\) | 4.48723 | + | 31.2093i | 0.170333 | + | 1.18469i | ||||
\(695\) | −4.08716 | − | 8.94964i | −0.155035 | − | 0.339479i | ||||
\(696\) | 0.457625 | − | 3.18285i | 0.0173462 | − | 0.120646i | ||||
\(697\) | −13.3096 | + | 3.90805i | −0.504136 | + | 0.148028i | ||||
\(698\) | 0.876735 | + | 0.563444i | 0.0331849 | + | 0.0213267i | ||||
\(699\) | 3.13375 | − | 6.86195i | 0.118529 | − | 0.259543i | ||||
\(700\) | −1.99851 | − | 0.586816i | −0.0755367 | − | 0.0221796i | ||||
\(701\) | 4.30521 | + | 4.96848i | 0.162606 | + | 0.187657i | 0.831205 | − | 0.555966i | \(-0.187651\pi\) |
−0.668600 | + | 0.743623i | \(0.733106\pi\) | |||||||
\(702\) | 3.57704 | + | 4.12812i | 0.135007 | + | 0.155806i | ||||
\(703\) | 51.8223 | + | 15.2164i | 1.95451 | + | 0.573897i | ||||
\(704\) | −10.2725 | + | 22.4937i | −0.387160 | + | 0.847762i | ||||
\(705\) | −7.25877 | − | 4.66493i | −0.273381 | − | 0.175691i | ||||
\(706\) | 23.9575 | − | 7.03454i | 0.901651 | − | 0.264748i | ||||
\(707\) | 1.47942 | − | 10.2896i | 0.0556393 | − | 0.386980i | ||||
\(708\) | −3.93833 | − | 8.62374i | −0.148011 | − | 0.324100i | ||||
\(709\) | −1.66976 | − | 11.6135i | −0.0627093 | − | 0.436153i | −0.996854 | − | 0.0792584i | \(-0.974745\pi\) |
0.934145 | − | 0.356894i | \(-0.116164\pi\) | |||||||
\(710\) | −5.69522 | + | 3.66010i | −0.213738 | + | 0.137361i | ||||
\(711\) | 4.41467 | − | 5.09480i | 0.165563 | − | 0.191070i | ||||
\(712\) | −18.1690 | −0.680911 | ||||||||
\(713\) | −25.6167 | − | 8.45659i | −0.959353 | − | 0.316702i | ||||
\(714\) | 11.9254 | 0.446296 | ||||||||
\(715\) | −10.2610 | + | 11.8418i | −0.383739 | + | 0.442858i | ||||
\(716\) | −2.57646 | + | 1.65579i | −0.0962867 | + | 0.0618797i | ||||
\(717\) | −1.52835 | − | 10.6299i | −0.0570772 | − | 0.396980i | ||||
\(718\) | 3.58756 | + | 7.85566i | 0.133887 | + | 0.293171i | ||||
\(719\) | −1.47490 | + | 10.2581i | −0.0550044 | + | 0.382564i | 0.943661 | + | 0.330914i | \(0.107357\pi\) |
−0.998665 | + | 0.0516500i | \(0.983552\pi\) | |||||||
\(720\) | −1.57428 | + | 0.462250i | −0.0586700 | + | 0.0172271i | ||||
\(721\) | 11.3067 | + | 7.26638i | 0.421084 | + | 0.270614i | ||||
\(722\) | −22.9266 | + | 50.2022i | −0.853238 | + | 1.86833i | ||||
\(723\) | 3.27407 | + | 0.961355i | 0.121764 | + | 0.0357532i | ||||
\(724\) | 6.46874 | + | 7.46533i | 0.240409 | + | 0.277447i | ||||
\(725\) | 0.688051 | + | 0.794054i | 0.0255536 | + | 0.0294904i | ||||
\(726\) | −1.44680 | − | 0.424818i | −0.0536957 | − | 0.0157665i | ||||
\(727\) | 14.1901 | − | 31.0721i | 0.526283 | − | 1.15240i | −0.440722 | − | 0.897643i | \(-0.645278\pi\) |
0.967005 | − | 0.254756i | \(-0.0819950\pi\) | |||||||
\(728\) | −32.5560 | − | 20.9225i | −1.20661 | − | 0.775439i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −2.37773 | + | 16.5375i | −0.0880039 | + | 0.612081i | ||||
\(731\) | −21.3236 | − | 46.6921i | −0.788681 | − | 1.72697i | ||||
\(732\) | 1.42392 | + | 9.90360i | 0.0526297 | + | 0.366048i | ||||
\(733\) | 10.9298 | − | 7.02418i | 0.403703 | − | 0.259444i | −0.322996 | − | 0.946400i | \(-0.604690\pi\) |
0.726699 | + | 0.686956i | \(0.241054\pi\) | |||||||
\(734\) | −11.0206 | + | 12.7184i | −0.406776 | + | 0.469444i | ||||
\(735\) | 0.745113 | 0.0274839 | ||||||||
\(736\) | −3.65252 | + | 20.5316i | −0.134634 | + | 0.756804i | ||||
\(737\) | −21.7491 | −0.801137 | ||||||||
\(738\) | 2.22354 | − | 2.56610i | 0.0818495 | − | 0.0944594i | ||||
\(739\) | −19.9072 | + | 12.7936i | −0.732298 | + | 0.470619i | −0.852895 | − | 0.522082i | \(-0.825155\pi\) |
0.120597 | + | 0.992701i | \(0.461519\pi\) | |||||||
\(740\) | 0.764661 | + | 5.31833i | 0.0281095 | + | 0.195506i | ||||
\(741\) | 17.5833 | + | 38.5020i | 0.645939 | + | 1.41441i | ||||
\(742\) | −3.59516 | + | 25.0049i | −0.131982 | + | 0.917958i | ||||
\(743\) | 6.55913 | − | 1.92594i | 0.240631 | − | 0.0706557i | −0.159193 | − | 0.987247i | \(-0.550889\pi\) |
0.399824 | + | 0.916592i | \(0.369071\pi\) | |||||||
\(744\) | −14.4822 | − | 9.30717i | −0.530945 | − | 0.341217i | ||||
\(745\) | −6.69646 | + | 14.6632i | −0.245339 | + | 0.537218i | ||||
\(746\) | 9.84605 | + | 2.89106i | 0.360490 | + | 0.105849i | ||||
\(747\) | 9.34995 | + | 10.7904i | 0.342097 | + | 0.394801i | ||||
\(748\) | −7.45987 | − | 8.60915i | −0.272760 | − | 0.314782i | ||||
\(749\) | 10.2837 | + | 3.01955i | 0.375756 | + | 0.110332i | ||||
\(750\) | 0.448797 | − | 0.982728i | 0.0163877 | − | 0.0358841i | ||||
\(751\) | −31.1945 | − | 20.0475i | −1.13830 | − | 0.731544i | −0.171027 | − | 0.985266i | \(-0.554709\pi\) |
−0.967277 | + | 0.253723i | \(0.918345\pi\) | |||||||
\(752\) | 13.5837 | − | 3.98853i | 0.495346 | − | 0.145447i | ||||
\(753\) | −3.70177 | + | 25.7464i | −0.134900 | + | 0.938251i | ||||
\(754\) | 2.38412 | + | 5.22050i | 0.0868246 | + | 0.190119i | ||||
\(755\) | −0.726865 | − | 5.05546i | −0.0264533 | − | 0.183987i | ||||
\(756\) | 1.75223 | − | 1.12609i | 0.0637281 | − | 0.0409556i | ||||
\(757\) | −27.4880 | + | 31.7228i | −0.999067 | + | 1.15299i | −0.0108479 | + | 0.999941i | \(0.503453\pi\) |
−0.988219 | + | 0.153044i | \(0.951092\pi\) | |||||||
\(758\) | −34.0835 | −1.23797 | ||||||||
\(759\) | 14.8544 | + | 0.494187i | 0.539182 | + | 0.0179378i | ||||
\(760\) | −25.6212 | −0.929377 | ||||||||
\(761\) | −12.2467 | + | 14.1335i | −0.443944 | + | 0.512338i | −0.932982 | − | 0.359924i | \(-0.882803\pi\) |
0.489038 | + | 0.872263i | \(0.337348\pi\) | |||||||
\(762\) | −0.149882 | + | 0.0963231i | −0.00542964 | + | 0.00348942i | ||||
\(763\) | −1.05562 | − | 7.34198i | −0.0382159 | − | 0.265798i | ||||
\(764\) | 2.25503 | + | 4.93784i | 0.0815843 | + | 0.178645i | ||||
\(765\) | 0.628124 | − | 4.36869i | 0.0227099 | − | 0.157950i | ||||
\(766\) | 20.3798 | − | 5.98405i | 0.736352 | − | 0.216213i | ||||
\(767\) | 48.4182 | + | 31.1165i | 1.74828 | + | 1.12355i | ||||
\(768\) | −6.66362 | + | 14.5913i | −0.240453 | + | 0.526518i | ||||
\(769\) | −47.7352 | − | 14.0163i | −1.72138 | − | 0.505442i | −0.736168 | − | 0.676799i | \(-0.763367\pi\) |
−0.985209 | + | 0.171357i | \(0.945185\pi\) | |||||||
\(770\) | −5.48351 | − | 6.32831i | −0.197612 | − | 0.228056i | ||||
\(771\) | −11.4976 | − | 13.2690i | −0.414077 | − | 0.477870i | ||||
\(772\) | −5.71567 | − | 1.67827i | −0.205711 | − | 0.0604023i | ||||
\(773\) | −2.06267 | + | 4.51662i | −0.0741891 | + | 0.162451i | −0.943093 | − | 0.332530i | \(-0.892098\pi\) |
0.868904 | + | 0.494981i | \(0.164825\pi\) | |||||||
\(774\) | 10.5701 | + | 6.79297i | 0.379933 | + | 0.244168i | ||||
\(775\) | 5.39713 | − | 1.58474i | 0.193871 | − | 0.0569256i | ||||
\(776\) | 5.07847 | − | 35.3216i | 0.182307 | − | 1.26797i | ||||
\(777\) | 6.70279 | + | 14.6771i | 0.240461 | + | 0.526536i | ||||
\(778\) | −2.28201 | − | 15.8717i | −0.0818139 | − | 0.569028i | ||||
\(779\) | 22.1343 | − | 14.2248i | 0.793044 | − | 0.509658i | ||||
\(780\) | −2.75747 | + | 3.18229i | −0.0987334 | + | 0.113944i | ||||
\(781\) | 19.4200 | 0.694901 | ||||||||
\(782\) | 18.8160 | + | 12.9961i | 0.672858 | + | 0.464741i | ||||
\(783\) | −1.05068 | −0.0375484 | ||||||||
\(784\) | −0.800592 | + | 0.923932i | −0.0285926 | + | 0.0329976i | ||||
\(785\) | 5.39782 | − | 3.46897i | 0.192656 | − | 0.123813i | ||||
\(786\) | −1.79004 | − | 12.4500i | −0.0638485 | − | 0.444076i | ||||
\(787\) | −0.556856 | − | 1.21935i | −0.0198498 | − | 0.0434650i | 0.899447 | − | 0.437029i | \(-0.143969\pi\) |
−0.919297 | + | 0.393564i | \(0.871242\pi\) | |||||||
\(788\) | −0.339156 | + | 2.35888i | −0.0120819 | + | 0.0840318i | ||||
\(789\) | 19.9893 | − | 5.86940i | 0.711639 | − | 0.208956i | ||||
\(790\) | −6.12694 | − | 3.93755i | −0.217987 | − | 0.140092i | ||||
\(791\) | 17.7640 | − | 38.8978i | 0.631617 | − | 1.38305i | ||||
\(792\) | 9.10043 | + | 2.67213i | 0.323370 | + | 0.0949499i | ||||
\(793\) | −39.7774 | − | 45.9056i | −1.41254 | − | 1.63016i | ||||
\(794\) | −3.73127 | − | 4.30611i | −0.132418 | − | 0.152818i | ||||
\(795\) | 8.97083 | + | 2.63407i | 0.318162 | + | 0.0934209i | ||||
\(796\) | −2.01109 | + | 4.40366i | −0.0712810 | + | 0.156084i | ||||
\(797\) | 4.56531 | + | 2.93395i | 0.161712 | + | 0.103926i | 0.618994 | − | 0.785396i | \(-0.287541\pi\) |
−0.457282 | + | 0.889322i | \(0.651177\pi\) | |||||||
\(798\) | −21.7035 | + | 6.37273i | −0.768296 | + | 0.225592i | ||||
\(799\) | −5.41977 | + | 37.6953i | −0.191738 | + | 1.33357i | ||||
\(800\) | −1.80637 | − | 3.95539i | −0.0638648 | − | 0.139844i | ||||
\(801\) | 0.844875 | + | 5.87624i | 0.0298522 | + | 0.207627i | ||||
\(802\) | −6.56055 | + | 4.21621i | −0.231661 | + | 0.148880i | ||||
\(803\) | 31.3854 | − | 36.2206i | 1.10757 | − | 1.27820i | ||||
\(804\) | −5.84472 | −0.206127 | ||||||||
\(805\) | −9.86902 | − | 6.81651i | −0.347837 | − | 0.240250i | ||||
\(806\) | 30.7253 | 1.08225 | ||||||||
\(807\) | 3.09541 | − | 3.57230i | 0.108964 | − | 0.125751i | ||||
\(808\) | 10.7015 | − | 6.87746i | 0.376479 | − | 0.241948i | ||||
\(809\) | −0.200280 | − | 1.39298i | −0.00704147 | − | 0.0489745i | 0.985998 | − | 0.166759i | \(-0.0533300\pi\) |
−0.993039 | + | 0.117784i | \(0.962421\pi\) | |||||||
\(810\) | 0.448797 | + | 0.982728i | 0.0157691 | + | 0.0345295i | ||||
\(811\) | −3.44276 | + | 23.9449i | −0.120892 | + | 0.840820i | 0.835658 | + | 0.549250i | \(0.185087\pi\) |
−0.956550 | + | 0.291570i | \(0.905822\pi\) | |||||||
\(812\) | 2.09980 | − | 0.616558i | 0.0736887 | − | 0.0216370i | ||||
\(813\) | −18.2465 | − | 11.7263i | −0.639931 | − | 0.411259i | ||||
\(814\) | −8.97316 | + | 19.6485i | −0.314509 | + | 0.688679i | ||||
\(815\) | −14.3425 | − | 4.21135i | −0.502397 | − | 0.147517i | ||||
\(816\) | 4.74224 | + | 5.47284i | 0.166012 | + | 0.191588i | ||||
\(817\) | 63.7592 | + | 73.5821i | 2.23065 | + | 2.57431i | ||||
\(818\) | −9.76752 | − | 2.86800i | −0.341513 | − | 0.100277i | ||||
\(819\) | −5.25290 | + | 11.5022i | −0.183551 | + | 0.401921i | ||||
\(820\) | 2.20196 | + | 1.41512i | 0.0768959 | + | 0.0494180i | ||||
\(821\) | −4.53985 | + | 1.33302i | −0.158442 | + | 0.0465227i | −0.359991 | − | 0.932956i | \(-0.617220\pi\) |
0.201550 | + | 0.979478i | \(0.435402\pi\) | |||||||
\(822\) | −0.465629 | + | 3.23852i | −0.0162407 | + | 0.112956i | ||||
\(823\) | −0.223106 | − | 0.488535i | −0.00777700 | − | 0.0170292i | 0.905704 | − | 0.423911i | \(-0.139343\pi\) |
−0.913481 | + | 0.406882i | \(0.866616\pi\) | |||||||
\(824\) | 2.34065 | + | 16.2796i | 0.0815406 | + | 0.567127i | ||||
\(825\) | −2.60711 | + | 1.67549i | −0.0907679 | + | 0.0583330i | ||||
\(826\) | −20.1419 | + | 23.2450i | −0.700826 | + | 0.808797i | ||||
\(827\) | −17.4962 | −0.608401 | −0.304200 | − | 0.952608i | \(-0.598389\pi\) | ||||
−0.304200 | + | 0.952608i | \(0.598389\pi\) | |||||||
\(828\) | 3.99189 | + | 0.132805i | 0.138728 | + | 0.00461529i | ||||
\(829\) | 10.9294 | 0.379594 | 0.189797 | − | 0.981823i | \(-0.439217\pi\) | ||||
0.189797 | + | 0.981823i | \(0.439217\pi\) | |||||||
\(830\) | 10.1013 | − | 11.6575i | 0.350621 | − | 0.404638i | ||||
\(831\) | 7.80317 | − | 5.01480i | 0.270689 | − | 0.173961i | ||||
\(832\) | −5.74142 | − | 39.9325i | −0.199048 | − | 1.38441i | ||||
\(833\) | −1.36615 | − | 2.99146i | −0.0473344 | − | 0.103648i | ||||
\(834\) | 1.51272 | − | 10.5212i | 0.0523811 | − | 0.364318i | ||||
\(835\) | 6.22731 | − | 1.82850i | 0.215505 | − | 0.0632780i | ||||
\(836\) | 18.1771 | + | 11.6817i | 0.628670 | + | 0.404021i | ||||
\(837\) | −2.33670 | + | 5.11666i | −0.0807682 | + | 0.176858i | ||||
\(838\) | 22.4581 | + | 6.59428i | 0.775801 | + | 0.227796i | ||||
\(839\) | 17.6786 | + | 20.4022i | 0.610335 | + | 0.704364i | 0.973842 | − | 0.227228i | \(-0.0729662\pi\) |
−0.363507 | + | 0.931591i | \(0.618421\pi\) | |||||||
\(840\) | −5.01241 | − | 5.78463i | −0.172944 | − | 0.199589i | ||||
\(841\) | 26.7661 | + | 7.85923i | 0.922968 | + | 0.271008i | ||||
\(842\) | 10.0542 | − | 22.0157i | 0.346492 | − | 0.758712i | ||||
\(843\) | 1.89355 | + | 1.21691i | 0.0652172 | + | 0.0419125i | ||||
\(844\) | 11.7525 | − | 3.45084i | 0.404538 | − | 0.118783i | ||||
\(845\) | 1.78792 | − | 12.4353i | 0.0615064 | − | 0.427786i | ||||
\(846\) | −3.87245 | − | 8.47948i | −0.133137 | − | 0.291530i | ||||
\(847\) | −0.496774 | − | 3.45514i | −0.0170693 | − | 0.118720i | ||||
\(848\) | −12.9050 | + | 8.29353i | −0.443159 | + | 0.284801i | ||||
\(849\) | 7.01989 | − | 8.10139i | 0.240922 | − | 0.278039i | ||||
\(850\) | −4.76829 | −0.163551 | ||||||||
\(851\) | −5.41917 | + | 30.4622i | −0.185767 | + | 1.04423i | ||||
\(852\) | 5.21881 | 0.178793 | ||||||||
\(853\) | 18.3304 | − | 21.1544i | 0.627620 | − | 0.724312i | −0.349515 | − | 0.936931i | \(-0.613654\pi\) |
0.977135 | + | 0.212618i | \(0.0681991\pi\) | |||||||
\(854\) | 27.3077 | − | 17.5496i | 0.934450 | − | 0.600534i | ||||
\(855\) | 1.19141 | + | 8.28644i | 0.0407454 | + | 0.283390i | ||||
\(856\) | 5.44836 | + | 11.9302i | 0.186221 | + | 0.407767i | ||||
\(857\) | 3.79427 | − | 26.3897i | 0.129610 | − | 0.901456i | −0.816439 | − | 0.577432i | \(-0.804055\pi\) |
0.946049 | − | 0.324024i | \(-0.105036\pi\) | |||||||
\(858\) | −16.2423 | + | 4.76918i | −0.554504 | + | 0.162817i | ||||
\(859\) | −6.81391 | − | 4.37903i | −0.232487 | − | 0.149411i | 0.419211 | − | 0.907889i | \(-0.362307\pi\) |
−0.651698 | + | 0.758478i | \(0.725943\pi\) | |||||||
\(860\) | −4.02365 | + | 8.81057i | −0.137205 | + | 0.300438i | ||||
\(861\) | 7.54188 | + | 2.21449i | 0.257026 | + | 0.0754698i | ||||
\(862\) | 2.76658 | + | 3.19281i | 0.0942302 | + | 0.108747i | ||||
\(863\) | 12.5323 | + | 14.4630i | 0.426604 | + | 0.492328i | 0.927838 | − | 0.372985i | \(-0.121666\pi\) |
−0.501233 | + | 0.865312i | \(0.667120\pi\) | |||||||
\(864\) | 4.17221 | + | 1.22507i | 0.141941 | + | 0.0416777i | ||||
\(865\) | −2.59399 | + | 5.68004i | −0.0881983 | + | 0.193127i | ||||
\(866\) | 3.62997 | + | 2.33284i | 0.123351 | + | 0.0792731i | ||||
\(867\) | −2.37958 | + | 0.698706i | −0.0808146 | + | 0.0237293i | ||||
\(868\) | 1.66739 | − | 11.5969i | 0.0565948 | − | 0.393625i | ||||
\(869\) | 8.67889 | + | 19.0041i | 0.294411 | + | 0.644671i | ||||
\(870\) | 0.161544 | + | 1.12356i | 0.00547684 | + | 0.0380923i | ||||
\(871\) | 29.8499 | − | 19.1833i | 1.01142 | − | 0.650003i | ||||
\(872\) | 5.94406 | − | 6.85981i | 0.201291 | − | 0.232303i | ||||
\(873\) | −11.6599 | −0.394628 | ||||||||
\(874\) | −41.1889 | − | 13.5973i | −1.39324 | − | 0.459935i | ||||
\(875\) | 2.50098 | 0.0845485 | ||||||||
\(876\) | 8.43432 | − | 9.73372i | 0.284969 | − | 0.328872i | ||||
\(877\) | −12.6924 | + | 8.15690i | −0.428592 | + | 0.275439i | −0.737101 | − | 0.675782i | \(-0.763806\pi\) |
0.308510 | + | 0.951221i | \(0.400170\pi\) | |||||||
\(878\) | −4.43439 | − | 30.8418i | −0.149653 | − | 1.04086i | ||||
\(879\) | 7.00258 | + | 15.3335i | 0.236191 | + | 0.517187i | ||||
\(880\) | 0.723640 | − | 5.03303i | 0.0243939 | − | 0.169663i | ||||
\(881\) | −31.1776 | + | 9.15456i | −1.05040 | + | 0.308425i | −0.760978 | − | 0.648777i | \(-0.775281\pi\) |
−0.289420 | + | 0.957202i | \(0.593463\pi\) | |||||||
\(882\) | 0.677199 | + | 0.435210i | 0.0228025 | + | 0.0146543i | ||||
\(883\) | −2.55962 | + | 5.60479i | −0.0861381 | + | 0.188616i | −0.947799 | − | 0.318868i | \(-0.896697\pi\) |
0.861661 | + | 0.507484i | \(0.169425\pi\) | |||||||
\(884\) | 17.8320 | + | 5.23594i | 0.599754 | + | 0.176104i | ||||
\(885\) | 7.45458 | + | 8.60305i | 0.250583 | + | 0.289188i | ||||
\(886\) | 23.9816 | + | 27.6763i | 0.805678 | + | 0.929802i | ||||
\(887\) | −4.03127 | − | 1.18369i | −0.135357 | − | 0.0397443i | 0.213353 | − | 0.976975i | \(-0.431562\pi\) |
−0.348709 | + | 0.937231i | \(0.613380\pi\) | |||||||
\(888\) | −8.20226 | + | 17.9604i | −0.275250 | + | 0.602713i | ||||
\(889\) | −0.346969 | − | 0.222984i | −0.0116370 | − | 0.00747863i | ||||
\(890\) | 6.15392 | − | 1.80695i | 0.206280 | − | 0.0605692i | ||||
\(891\) | 0.441045 | − | 3.06753i | 0.0147756 | − | 0.102766i | ||||
\(892\) | −9.48454 | − | 20.7682i | −0.317566 | − | 0.695372i | ||||
\(893\) | −10.2801 | − | 71.4996i | −0.344010 | − | 2.39264i | ||||
\(894\) | −14.6507 | + | 9.41541i | −0.489991 | + | 0.314898i | ||||
\(895\) | 2.40818 | − | 2.77919i | 0.0804967 | − | 0.0928981i | ||||
\(896\) | −0.190699 | −0.00637081 | ||||||||
\(897\) | −20.8231 | + | 12.4238i | −0.695263 | + | 0.414819i | ||||
\(898\) | −35.6730 | −1.19042 | ||||||||
\(899\) | −3.87028 | + | 4.46654i | −0.129081 | + | 0.148967i | ||||
\(900\) | −0.700619 | + | 0.450261i | −0.0233540 | + | 0.0150087i | ||||
\(901\) | −5.87267 | − | 40.8453i | −0.195647 | − | 1.36076i | ||||
\(902\) | 4.37129 | + | 9.57179i | 0.145548 | + | 0.318706i | ||||
\(903\) | −4.13945 | + | 28.7905i | −0.137752 | + | 0.958089i | ||||
\(904\) | 50.2087 | − | 14.7426i | 1.66992 | − | 0.490332i | ||||
\(905\) | −9.97798 | − | 6.41246i | −0.331679 | − | 0.213157i | ||||
\(906\) | 2.29220 | − | 5.01923i | 0.0761534 | − | 0.166753i | ||||
\(907\) | 9.20830 | + | 2.70380i | 0.305757 | + | 0.0897782i | 0.431012 | − | 0.902346i | \(-0.358157\pi\) |
−0.125255 | + | 0.992125i | \(0.539975\pi\) | |||||||
\(908\) | 1.74901 | + | 2.01846i | 0.0580428 | + | 0.0669850i | ||||
\(909\) | −2.72195 | − | 3.14130i | −0.0902815 | − | 0.104190i | ||||
\(910\) | 13.1077 | + | 3.84876i | 0.434516 | + | 0.127585i | ||||
\(911\) | −2.13404 | + | 4.67291i | −0.0707040 | + | 0.154820i | −0.941684 | − | 0.336498i | \(-0.890757\pi\) |
0.870980 | + | 0.491318i | \(0.163485\pi\) | |||||||
\(912\) | −11.5552 | − | 7.42609i | −0.382631 | − | 0.245902i | ||||
\(913\) | −42.4556 | + | 12.4661i | −1.40507 | + | 0.412567i | ||||
\(914\) | 4.29991 | − | 29.9065i | 0.142228 | − | 0.989219i | ||||
\(915\) | −4.99072 | − | 10.9281i | −0.164988 | − | 0.361273i | ||||
\(916\) | 1.08350 | + | 7.53591i | 0.0357999 | + | 0.248994i | ||||
\(917\) | 24.4952 | − | 15.7421i | 0.808903 | − | 0.519850i | ||||
\(918\) | 3.12256 | − | 3.60363i | 0.103060 | − | 0.118938i | ||||
\(919\) | 36.9375 | 1.21846 | 0.609228 | − | 0.792995i | \(-0.291479\pi\) | ||||
0.609228 | + | 0.792995i | \(0.291479\pi\) | |||||||
\(920\) | −1.60461 | − | 14.5895i | −0.0529023 | − | 0.481002i | ||||
\(921\) | −8.01764 | −0.264190 | ||||||||
\(922\) | 23.6425 | − | 27.2849i | 0.778624 | − | 0.898580i | ||||
\(923\) | −26.6532 | + | 17.1290i | −0.877302 | + | 0.563808i | ||||
\(924\) | 0.918645 | + | 6.38931i | 0.0302212 | + | 0.210193i | ||||
\(925\) | −2.68007 | − | 5.86853i | −0.0881201 | − | 0.192956i | ||||
\(926\) | 2.56193 | − | 17.8186i | 0.0841901 | − | 0.585555i | ||||
\(927\) | 5.15634 | − | 1.51404i | 0.169356 | − | 0.0497275i | ||||
\(928\) | 3.84347 | + | 2.47005i | 0.126168 | + | 0.0810832i | ||||
\(929\) | 4.82155 | − | 10.5577i | 0.158190 | − | 0.346388i | −0.813897 | − | 0.581009i | \(-0.802658\pi\) |
0.972087 | + | 0.234622i | \(0.0753852\pi\) | |||||||
\(930\) | 5.83083 | + | 1.71209i | 0.191200 | + | 0.0561415i | ||||
\(931\) | 4.08491 | + | 4.71423i | 0.133877 | + | 0.154503i | ||||
\(932\) | 4.11421 | + | 4.74805i | 0.134765 | + | 0.155528i | ||||
\(933\) | 0.257256 | + | 0.0755373i | 0.00842219 | + | 0.00247298i | ||||
\(934\) | −6.96761 | + | 15.2569i | −0.227987 | + | 0.499222i | ||||
\(935\) | 11.5068 | + | 7.39496i | 0.376312 | + | 0.241841i | ||||
\(936\) | −14.8469 | + | 4.35945i | −0.485287 | + | 0.142493i | ||||
\(937\) | 3.71658 | − | 25.8494i | 0.121415 | − | 0.844462i | −0.834539 | − | 0.550948i | \(-0.814266\pi\) |
0.955955 | − | 0.293514i | \(-0.0948248\pi\) | |||||||
\(938\) | 7.87712 | + | 17.2485i | 0.257197 | + | 0.563183i | ||||
\(939\) | 0.388249 | + | 2.70033i | 0.0126700 | + | 0.0881219i | ||||
\(940\) | 6.04530 | − | 3.88508i | 0.197176 | − | 0.126717i | ||||
\(941\) | 33.3734 | − | 38.5150i | 1.08794 | − | 1.25555i | 0.123192 | − | 0.992383i | \(-0.460687\pi\) |
0.964750 | − | 0.263169i | \(-0.0847677\pi\) | |||||||
\(942\) | 6.93200 | 0.225857 | ||||||||
\(943\) | 9.48632 | + | 11.7131i | 0.308917 | + | 0.381431i | ||||
\(944\) | −18.6773 | −0.607895 | ||||||||
\(945\) | −1.63779 | + | 1.89011i | −0.0532774 | + | 0.0614854i | ||||
\(946\) | −32.7574 | + | 21.0519i | −1.06504 | + | 0.684457i | ||||
\(947\) | −5.79275 | − | 40.2895i | −0.188239 | − | 1.30923i | −0.836565 | − | 0.547868i | \(-0.815439\pi\) |
0.648325 | − | 0.761363i | \(-0.275470\pi\) | |||||||
\(948\) | 2.33231 | + | 5.10706i | 0.0757500 | + | 0.165869i | ||||
\(949\) | −11.1276 | + | 77.3944i | −0.361218 | + | 2.51233i | ||||
\(950\) | 8.67801 | − | 2.54809i | 0.281552 | − | 0.0826711i | ||||
\(951\) | 17.5438 | + | 11.2747i | 0.568896 | + | 0.365607i | ||||
\(952\) | −14.0338 | + | 30.7297i | −0.454837 | + | 0.995954i | ||||
\(953\) | −2.50773 | − | 0.736335i | −0.0812332 | − | 0.0238522i | 0.240863 | − | 0.970559i | \(-0.422569\pi\) |
−0.322097 | + | 0.946707i | \(0.604388\pi\) | |||||||
\(954\) | 6.61465 | + | 7.63372i | 0.214157 | + | 0.247151i | ||||
\(955\) | −4.26839 | − | 4.92599i | −0.138122 | − | 0.159401i | ||||
\(956\) | 8.58161 | + | 2.51979i | 0.277549 | + | 0.0814958i | ||||
\(957\) | 1.35265 | − | 2.96190i | 0.0437251 | − | 0.0957446i | ||||
\(958\) | 28.6753 | + | 18.4285i | 0.926457 | + | 0.595398i | ||||
\(959\) | −7.26731 | + | 2.13387i | −0.234674 | + | 0.0689064i | ||||
\(960\) | 1.13557 | − | 7.89803i | 0.0366502 | − | 0.254908i | ||||
\(961\) | 0.266042 | + | 0.582550i | 0.00858199 | + | 0.0187919i | ||||
\(962\) | −5.01520 | − | 34.8815i | −0.161697 | − | 1.12462i | ||||
\(963\) | 3.60514 | − | 2.31689i | 0.116174 | − | 0.0746606i | ||||
\(964\) | −1.86102 | + | 2.14773i | −0.0599394 | + | 0.0691738i | ||||
\(965\) | 7.15270 | 0.230253 | ||||||||
\(966\) | −4.98809 | − | 11.9596i | −0.160489 | − | 0.384793i | ||||
\(967\) | −18.2175 | −0.585834 | −0.292917 | − | 0.956138i | \(-0.594626\pi\) | ||||
−0.292917 | + | 0.956138i | \(0.594626\pi\) | |||||||
\(968\) | 2.79728 | − | 3.22823i | 0.0899078 | − | 0.103759i | ||||
\(969\) | 31.0837 | − | 19.9763i | 0.998552 | − | 0.641731i | ||||
\(970\) | 1.79272 | + | 12.4687i | 0.0575609 | + | 0.400345i | ||||
\(971\) | −6.86379 | − | 15.0296i | −0.220269 | − | 0.482323i | 0.766947 | − | 0.641711i | \(-0.221775\pi\) |
−0.987216 | + | 0.159388i | \(0.949048\pi\) | |||||||
\(972\) | 0.118524 | − | 0.824351i | 0.00380165 | − | 0.0264411i | ||||
\(973\) | 23.6097 | − | 6.93245i | 0.756894 | − | 0.222244i | ||||
\(974\) | 26.0433 | + | 16.7370i | 0.834483 | + | 0.536289i | ||||
\(975\) | 2.10034 | − | 4.59910i | 0.0672647 | − | 0.147289i | ||||
\(976\) | 18.9131 | + | 5.55339i | 0.605394 | + | 0.177760i | ||||
\(977\) | −20.6690 | − | 23.8533i | −0.661261 | − | 0.763136i | 0.321722 | − | 0.946834i | \(-0.395739\pi\) |
−0.982983 | + | 0.183698i | \(0.941193\pi\) | |||||||
\(978\) | −10.5755 | − | 12.2048i | −0.338167 | − | 0.390266i | ||||
\(979\) | −17.6529 | − | 5.18337i | −0.564190 | − | 0.165661i | ||||
\(980\) | −0.257786 | + | 0.564473i | −0.00823468 | + | 0.0180314i | ||||
\(981\) | −2.49502 | − | 1.60345i | −0.0796598 | − | 0.0511942i | ||||
\(982\) | 10.9554 | − | 3.21679i | 0.349600 | − | 0.102652i | ||||
\(983\) | 2.15677 | − | 15.0006i | 0.0687902 | − | 0.478446i | −0.926083 | − | 0.377319i | \(-0.876846\pi\) |
0.994874 | − | 0.101127i | \(-0.0322449\pi\) | |||||||
\(984\) | 3.99574 | + | 8.74946i | 0.127380 | + | 0.278923i | ||||
\(985\) | −0.407235 | − | 2.83238i | −0.0129756 | − | 0.0902471i | ||||
\(986\) | 4.21465 | − | 2.70859i | 0.134222 | − | 0.0862590i | ||||
\(987\) | 14.1317 | − | 16.3089i | 0.449817 | − | 0.519117i | ||||
\(988\) | −35.2512 | −1.12149 | ||||||||
\(989\) | −37.9069 | + | 40.9149i | −1.20537 | + | 1.30102i | ||||
\(990\) | −3.34811 | −0.106410 | ||||||||
\(991\) | −16.9186 | + | 19.5251i | −0.537436 | + | 0.620234i | −0.957909 | − | 0.287071i | \(-0.907318\pi\) |
0.420474 | + | 0.907305i | \(0.361864\pi\) | |||||||
\(992\) | 20.5765 | − | 13.2237i | 0.653305 | − | 0.419854i | ||||
\(993\) | −1.10485 | − | 7.68440i | −0.0350614 | − | 0.243857i | ||||
\(994\) | −7.03356 | − | 15.4014i | −0.223091 | − | 0.488501i | ||||
\(995\) | 0.827262 | − | 5.75374i | 0.0262260 | − | 0.182406i | ||||
\(996\) | −11.4093 | + | 3.35006i | −0.361516 | + | 0.106151i | ||||
\(997\) | 47.8504 | + | 30.7516i | 1.51544 | + | 0.973912i | 0.992593 | + | 0.121484i | \(0.0387654\pi\) |
0.522844 | + | 0.852428i | \(0.324871\pi\) | |||||||
\(998\) | 15.5521 | − | 34.0544i | 0.492294 | − | 1.07797i | ||||
\(999\) | 6.19021 | + | 1.81761i | 0.195850 | + | 0.0575066i |
(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 | 345.2.m.c.16.4 | ✓ | 50 | |
23.6 | even | 11 | 7935.2.a.bv.1.8 | 25 | |||
23.13 | even | 11 | inner | 345.2.m.c.151.4 | yes | 50 | |
23.17 | odd | 22 | 7935.2.a.bw.1.8 | 25 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
345.2.m.c.16.4 | ✓ | 50 | 1.1 | even | 1 | trivial | |
345.2.m.c.151.4 | yes | 50 | 23.13 | even | 11 | inner | |
7935.2.a.bv.1.8 | 25 | 23.6 | even | 11 | |||
7935.2.a.bw.1.8 | 25 | 23.17 | odd | 22 |