Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(109,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.z (of order \(10\), degree \(4\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6 x^{15} + 18 x^{14} - 44 x^{13} + 63 x^{12} - 46 x^{11} + 110 x^{10} - 120 x^{9} - 79 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 349.2 | ||
Root | \(0.297049 + 0.582991i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.349 |
Dual form | 930.2.z.b.469.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | − | 0.309017i | −0.672499 | − | 0.218508i | ||||
\(3\) | 0.951057 | − | 0.309017i | 0.549093 | − | 0.178411i | ||||
\(4\) | 0.809017 | + | 0.587785i | 0.404508 | + | 0.293893i | ||||
\(5\) | 2.21127 | + | 0.332092i | 0.988910 | + | 0.148516i | ||||
\(6\) | −1.00000 | −0.408248 | ||||||||
\(7\) | −0.907165 | + | 1.24861i | −0.342876 | + | 0.471929i | −0.945279 | − | 0.326264i | \(-0.894210\pi\) |
0.602402 | + | 0.798192i | \(0.294210\pi\) | |||||||
\(8\) | −0.587785 | − | 0.809017i | −0.207813 | − | 0.286031i | ||||
\(9\) | 0.809017 | − | 0.587785i | 0.269672 | − | 0.195928i | ||||
\(10\) | −2.00042 | − | 0.999158i | −0.632589 | − | 0.315962i | ||||
\(11\) | 1.74861 | + | 1.27044i | 0.527225 | + | 0.383051i | 0.819319 | − | 0.573339i | \(-0.194352\pi\) |
−0.292094 | + | 0.956390i | \(0.594352\pi\) | |||||||
\(12\) | 0.951057 | + | 0.309017i | 0.274546 | + | 0.0892055i | ||||
\(13\) | 0.363271 | − | 0.118034i | 0.100753 | − | 0.0327367i | −0.258207 | − | 0.966090i | \(-0.583131\pi\) |
0.358960 | + | 0.933353i | \(0.383131\pi\) | |||||||
\(14\) | 1.24861 | − | 0.907165i | 0.333704 | − | 0.242450i | ||||
\(15\) | 2.20566 | − | 0.367482i | 0.569500 | − | 0.0948834i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.638760 | − | 0.879178i | −0.154922 | − | 0.213232i | 0.724500 | − | 0.689275i | \(-0.242071\pi\) |
−0.879422 | + | 0.476043i | \(0.842071\pi\) | |||||||
\(18\) | −0.951057 | + | 0.309017i | −0.224166 | + | 0.0728360i | ||||
\(19\) | 1.32328 | − | 4.07263i | 0.303581 | − | 0.934326i | −0.676622 | − | 0.736330i | \(-0.736557\pi\) |
0.980203 | − | 0.197995i | \(-0.0634431\pi\) | |||||||
\(20\) | 1.59376 | + | 1.56842i | 0.356375 | + | 0.350709i | ||||
\(21\) | −0.476925 | + | 1.46782i | −0.104074 | + | 0.320306i | ||||
\(22\) | −1.27044 | − | 1.74861i | −0.270858 | − | 0.372804i | ||||
\(23\) | 2.62866 | + | 3.61803i | 0.548113 | + | 0.754412i | 0.989755 | − | 0.142779i | \(-0.0456039\pi\) |
−0.441642 | + | 0.897191i | \(0.645604\pi\) | |||||||
\(24\) | −0.809017 | − | 0.587785i | −0.165140 | − | 0.119981i | ||||
\(25\) | 4.77943 | + | 1.46869i | 0.955886 | + | 0.293738i | ||||
\(26\) | −0.381966 | −0.0749097 | ||||||||
\(27\) | 0.587785 | − | 0.809017i | 0.113119 | − | 0.155695i | ||||
\(28\) | −1.46782 | + | 0.476925i | −0.277393 | + | 0.0901304i | ||||
\(29\) | −1.31677 | + | 4.05259i | −0.244517 | + | 0.752547i | 0.751198 | + | 0.660077i | \(0.229476\pi\) |
−0.995715 | + | 0.0924701i | \(0.970524\pi\) | |||||||
\(30\) | −2.21127 | − | 0.332092i | −0.403721 | − | 0.0606314i | ||||
\(31\) | 5.47414 | + | 1.01677i | 0.983184 | + | 0.182617i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 2.05561 | + | 0.667908i | 0.357836 | + | 0.116268i | ||||
\(34\) | 0.335816 | + | 1.03354i | 0.0575920 | + | 0.177250i | ||||
\(35\) | −2.42064 | + | 2.45974i | −0.409163 | + | 0.415772i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | − | 3.70476i | − | 0.609058i | −0.952503 | − | 0.304529i | \(-0.901501\pi\) | ||
0.952503 | − | 0.304529i | \(-0.0984991\pi\) | |||||||
\(38\) | −2.51702 | + | 3.46439i | −0.408315 | + | 0.561998i | ||||
\(39\) | 0.309017 | − | 0.224514i | 0.0494823 | − | 0.0359510i | ||||
\(40\) | −1.03108 | − | 1.98415i | −0.163029 | − | 0.313722i | ||||
\(41\) | 0.587210 | − | 1.80725i | 0.0917068 | − | 0.282245i | −0.894675 | − | 0.446718i | \(-0.852593\pi\) |
0.986381 | + | 0.164474i | \(0.0525926\pi\) | |||||||
\(42\) | 0.907165 | − | 1.24861i | 0.139979 | − | 0.192664i | ||||
\(43\) | 7.37483 | + | 2.39623i | 1.12465 | + | 0.365421i | 0.811541 | − | 0.584296i | \(-0.198629\pi\) |
0.313110 | + | 0.949717i | \(0.398629\pi\) | |||||||
\(44\) | 0.667908 | + | 2.05561i | 0.100691 | + | 0.309895i | ||||
\(45\) | 1.98415 | − | 1.03108i | 0.295780 | − | 0.153705i | ||||
\(46\) | −1.38197 | − | 4.25325i | −0.203760 | − | 0.627108i | ||||
\(47\) | −9.01470 | + | 2.92905i | −1.31493 | + | 0.427246i | −0.880750 | − | 0.473581i | \(-0.842961\pi\) |
−0.434178 | + | 0.900827i | \(0.642961\pi\) | |||||||
\(48\) | 0.587785 | + | 0.809017i | 0.0848395 | + | 0.116772i | ||||
\(49\) | 1.42705 | + | 4.39201i | 0.203864 | + | 0.627430i | ||||
\(50\) | −4.09166 | − | 2.87373i | −0.578648 | − | 0.406407i | ||||
\(51\) | −0.879178 | − | 0.638760i | −0.123110 | − | 0.0894443i | ||||
\(52\) | 0.363271 | + | 0.118034i | 0.0503767 | + | 0.0163684i | ||||
\(53\) | −3.47954 | − | 4.78918i | −0.477952 | − | 0.657844i | 0.500158 | − | 0.865934i | \(-0.333275\pi\) |
−0.978110 | + | 0.208090i | \(0.933275\pi\) | |||||||
\(54\) | −0.809017 | + | 0.587785i | −0.110093 | + | 0.0799874i | ||||
\(55\) | 3.44474 | + | 3.38998i | 0.464488 | + | 0.457104i | ||||
\(56\) | 1.54336 | 0.206240 | ||||||||
\(57\) | − | 4.28222i | − | 0.567194i | ||||||
\(58\) | 2.50464 | − | 3.44734i | 0.328875 | − | 0.452658i | ||||
\(59\) | 1.08442 | + | 3.33751i | 0.141180 | + | 0.434507i | 0.996500 | − | 0.0835931i | \(-0.0266396\pi\) |
−0.855320 | + | 0.518100i | \(0.826640\pi\) | |||||||
\(60\) | 2.00042 | + | 0.999158i | 0.258253 | + | 0.128991i | ||||
\(61\) | −4.97335 | −0.636772 | −0.318386 | − | 0.947961i | \(-0.603141\pi\) | ||||
−0.318386 | + | 0.947961i | \(0.603141\pi\) | |||||||
\(62\) | −4.89201 | − | 2.65861i | −0.621286 | − | 0.337644i | ||||
\(63\) | 1.54336i | 0.194445i | ||||||||
\(64\) | −0.309017 | + | 0.951057i | −0.0386271 | + | 0.118882i | ||||
\(65\) | 0.842489 | − | 0.140366i | 0.104498 | − | 0.0174102i | ||||
\(66\) | −1.74861 | − | 1.27044i | −0.215239 | − | 0.156380i | ||||
\(67\) | 2.20197i | 0.269013i | 0.990913 | + | 0.134507i | \(0.0429450\pi\) | ||||
−0.990913 | + | 0.134507i | \(0.957055\pi\) | |||||||
\(68\) | − | 1.08672i | − | 0.131785i | ||||||
\(69\) | 3.61803 | + | 2.62866i | 0.435560 | + | 0.316453i | ||||
\(70\) | 3.06227 | − | 1.59134i | 0.366011 | − | 0.190201i | ||||
\(71\) | −4.31677 | + | 3.13631i | −0.512306 | + | 0.372212i | −0.813698 | − | 0.581288i | \(-0.802549\pi\) |
0.301392 | + | 0.953500i | \(0.402549\pi\) | |||||||
\(72\) | −0.951057 | − | 0.309017i | −0.112083 | − | 0.0364180i | ||||
\(73\) | 3.86791 | − | 5.32373i | 0.452705 | − | 0.623095i | −0.520271 | − | 0.854001i | \(-0.674169\pi\) |
0.972976 | + | 0.230906i | \(0.0741690\pi\) | |||||||
\(74\) | −1.14483 | + | 3.52343i | −0.133084 | + | 0.409591i | ||||
\(75\) | 4.99936 | − | 0.0801180i | 0.577276 | − | 0.00925123i | ||||
\(76\) | 3.46439 | − | 2.51702i | 0.397392 | − | 0.288723i | ||||
\(77\) | −3.17255 | + | 1.03082i | −0.361546 | + | 0.117473i | ||||
\(78\) | −0.363271 | + | 0.118034i | −0.0411324 | + | 0.0133647i | ||||
\(79\) | 4.01750 | − | 2.91888i | 0.452004 | − | 0.328400i | −0.338383 | − | 0.941009i | \(-0.609880\pi\) |
0.790386 | + | 0.612609i | \(0.209880\pi\) | |||||||
\(80\) | 0.367482 | + | 2.20566i | 0.0410857 | + | 0.246601i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | −1.11694 | + | 1.53734i | −0.123345 | + | 0.169770i | ||||
\(83\) | 1.57743 | + | 0.512538i | 0.173145 | + | 0.0562584i | 0.394307 | − | 0.918979i | \(-0.370985\pi\) |
−0.221161 | + | 0.975237i | \(0.570985\pi\) | |||||||
\(84\) | −1.24861 | + | 0.907165i | −0.136234 | + | 0.0989799i | ||||
\(85\) | −1.12050 | − | 2.15623i | −0.121536 | − | 0.233876i | ||||
\(86\) | −6.27340 | − | 4.55789i | −0.676479 | − | 0.491490i | ||||
\(87\) | 4.26114i | 0.456843i | ||||||||
\(88\) | − | 2.16140i | − | 0.230406i | ||||||
\(89\) | −0.341842 | − | 0.248363i | −0.0362352 | − | 0.0263264i | 0.569520 | − | 0.821977i | \(-0.307129\pi\) |
−0.605755 | + | 0.795651i | \(0.707129\pi\) | |||||||
\(90\) | −2.20566 | + | 0.367482i | −0.232497 | + | 0.0387360i | ||||
\(91\) | −0.182169 | + | 0.560659i | −0.0190965 | + | 0.0587730i | ||||
\(92\) | 4.47214i | 0.466252i | ||||||||
\(93\) | 5.52041 | − | 0.724595i | 0.572440 | − | 0.0751370i | ||||
\(94\) | 9.47861 | 0.977644 | ||||||||
\(95\) | 4.27861 | − | 8.56624i | 0.438976 | − | 0.878877i | ||||
\(96\) | −0.309017 | − | 0.951057i | −0.0315389 | − | 0.0970668i | ||||
\(97\) | 8.18713 | − | 11.2686i | 0.831277 | − | 1.14415i | −0.156407 | − | 0.987693i | \(-0.549991\pi\) |
0.987684 | − | 0.156462i | \(-0.0500088\pi\) | |||||||
\(98\) | − | 4.61803i | − | 0.466492i | ||||||
\(99\) | 2.16140 | 0.217228 | ||||||||
\(100\) | 3.00337 | + | 3.99747i | 0.300337 | + | 0.399747i | ||||
\(101\) | −0.627784 | + | 0.456112i | −0.0624668 | + | 0.0453848i | −0.618580 | − | 0.785721i | \(-0.712292\pi\) |
0.556114 | + | 0.831106i | \(0.312292\pi\) | |||||||
\(102\) | 0.638760 | + | 0.879178i | 0.0632467 | + | 0.0870516i | ||||
\(103\) | 16.0896 | + | 5.22783i | 1.58536 | + | 0.515114i | 0.963430 | − | 0.267961i | \(-0.0863500\pi\) |
0.621927 | + | 0.783075i | \(0.286350\pi\) | |||||||
\(104\) | −0.309017 | − | 0.224514i | −0.0303016 | − | 0.0220154i | ||||
\(105\) | −1.54206 | + | 3.08737i | −0.150490 | + | 0.301297i | ||||
\(106\) | 1.82930 | + | 5.63002i | 0.177678 | + | 0.546836i | ||||
\(107\) | 0.530255 | + | 0.729834i | 0.0512617 | + | 0.0705557i | 0.833878 | − | 0.551948i | \(-0.186115\pi\) |
−0.782617 | + | 0.622504i | \(0.786115\pi\) | |||||||
\(108\) | 0.951057 | − | 0.309017i | 0.0915155 | − | 0.0297352i | ||||
\(109\) | −4.32528 | − | 13.3118i | −0.414287 | − | 1.27504i | −0.912887 | − | 0.408211i | \(-0.866153\pi\) |
0.498601 | − | 0.866832i | \(-0.333847\pi\) | |||||||
\(110\) | −2.22858 | − | 4.28854i | −0.212487 | − | 0.408896i | ||||
\(111\) | −1.14483 | − | 3.52343i | −0.108663 | − | 0.334430i | ||||
\(112\) | −1.46782 | − | 0.476925i | −0.138696 | − | 0.0450652i | ||||
\(113\) | 2.39446 | − | 3.29569i | 0.225252 | − | 0.310033i | −0.681401 | − | 0.731911i | \(-0.738629\pi\) |
0.906653 | + | 0.421878i | \(0.138629\pi\) | |||||||
\(114\) | −1.32328 | + | 4.07263i | −0.123936 | + | 0.381437i | ||||
\(115\) | 4.61115 | + | 8.87341i | 0.429992 | + | 0.827449i | ||||
\(116\) | −3.44734 | + | 2.50464i | −0.320077 | + | 0.232550i | ||||
\(117\) | 0.224514 | − | 0.309017i | 0.0207563 | − | 0.0285686i | ||||
\(118\) | − | 3.50926i | − | 0.323054i | ||||||
\(119\) | 1.67721 | 0.153749 | ||||||||
\(120\) | −1.59376 | − | 1.56842i | −0.145489 | − | 0.143176i | ||||
\(121\) | −1.95557 | − | 6.01864i | −0.177779 | − | 0.547149i | ||||
\(122\) | 4.72994 | + | 1.53685i | 0.428228 | + | 0.139140i | ||||
\(123\) | − | 1.90025i | − | 0.171340i | ||||||
\(124\) | 3.83103 | + | 4.04020i | 0.344036 | + | 0.362821i | ||||
\(125\) | 10.0809 | + | 4.83488i | 0.901660 | + | 0.432445i | ||||
\(126\) | 0.476925 | − | 1.46782i | 0.0424879 | − | 0.130764i | ||||
\(127\) | −0.316103 | + | 0.102708i | −0.0280496 | + | 0.00911386i | −0.323008 | − | 0.946396i | \(-0.604694\pi\) |
0.294959 | + | 0.955510i | \(0.404694\pi\) | |||||||
\(128\) | 0.587785 | − | 0.809017i | 0.0519534 | − | 0.0715077i | ||||
\(129\) | 7.75435 | 0.682733 | ||||||||
\(130\) | −0.844630 | − | 0.126848i | −0.0740789 | − | 0.0111253i | ||||
\(131\) | 0.571884 | + | 0.415498i | 0.0499657 | + | 0.0363022i | 0.612488 | − | 0.790480i | \(-0.290169\pi\) |
−0.562522 | + | 0.826782i | \(0.690169\pi\) | |||||||
\(132\) | 1.27044 | + | 1.74861i | 0.110577 | + | 0.152197i | ||||
\(133\) | 3.88468 | + | 5.34680i | 0.336844 | + | 0.463627i | ||||
\(134\) | 0.680446 | − | 2.09420i | 0.0587816 | − | 0.180911i | ||||
\(135\) | 1.56842 | − | 1.59376i | 0.134988 | − | 0.137169i | ||||
\(136\) | −0.335816 | + | 1.03354i | −0.0287960 | + | 0.0886250i | ||||
\(137\) | −18.0471 | + | 5.86385i | −1.54187 | + | 0.500983i | −0.951891 | − | 0.306438i | \(-0.900863\pi\) |
−0.589976 | + | 0.807421i | \(0.700863\pi\) | |||||||
\(138\) | −2.62866 | − | 3.61803i | −0.223766 | − | 0.307988i | ||||
\(139\) | −3.32758 | − | 10.2412i | −0.282242 | − | 0.868651i | −0.987212 | − | 0.159414i | \(-0.949040\pi\) |
0.704970 | − | 0.709237i | \(-0.250960\pi\) | |||||||
\(140\) | −3.40414 | + | 0.567157i | −0.287702 | + | 0.0479336i | ||||
\(141\) | −7.66836 | + | 5.57139i | −0.645792 | + | 0.469196i | ||||
\(142\) | 5.07466 | − | 1.64886i | 0.425856 | − | 0.138369i | ||||
\(143\) | 0.785173 | + | 0.255118i | 0.0656595 | + | 0.0213341i | ||||
\(144\) | 0.809017 | + | 0.587785i | 0.0674181 | + | 0.0489821i | ||||
\(145\) | −4.25756 | + | 8.52408i | −0.353571 | + | 0.707886i | ||||
\(146\) | −5.32373 | + | 3.86791i | −0.440595 | + | 0.320111i | ||||
\(147\) | 2.71441 | + | 3.73607i | 0.223881 | + | 0.308146i | ||||
\(148\) | 2.17760 | − | 2.99721i | 0.178998 | − | 0.246369i | ||||
\(149\) | −8.77543 | −0.718911 | −0.359456 | − | 0.933162i | \(-0.617038\pi\) | ||||
−0.359456 | + | 0.933162i | \(0.617038\pi\) | |||||||
\(150\) | −4.77943 | − | 1.46869i | −0.390239 | − | 0.119918i | ||||
\(151\) | −14.6157 | − | 10.6189i | −1.18941 | − | 0.864156i | −0.196207 | − | 0.980563i | \(-0.562862\pi\) |
−0.993202 | + | 0.116407i | \(0.962862\pi\) | |||||||
\(152\) | −4.07263 | + | 1.32328i | −0.330334 | + | 0.107332i | ||||
\(153\) | −1.03354 | − | 0.335816i | −0.0835564 | − | 0.0271491i | ||||
\(154\) | 3.33582 | 0.268808 | ||||||||
\(155\) | 11.7671 | + | 4.06627i | 0.945159 | + | 0.326611i | ||||
\(156\) | 0.381966 | 0.0305818 | ||||||||
\(157\) | −6.68360 | − | 2.17163i | −0.533409 | − | 0.173315i | 0.0299130 | − | 0.999553i | \(-0.490477\pi\) |
−0.563322 | + | 0.826237i | \(0.690477\pi\) | |||||||
\(158\) | −4.72285 | + | 1.53455i | −0.375730 | + | 0.122082i | ||||
\(159\) | −4.78918 | − | 3.47954i | −0.379807 | − | 0.275946i | ||||
\(160\) | 0.332092 | − | 2.21127i | 0.0262542 | − | 0.174816i | ||||
\(161\) | −6.90212 | −0.543964 | ||||||||
\(162\) | −0.587785 | + | 0.809017i | −0.0461808 | + | 0.0635624i | ||||
\(163\) | 11.4835 | + | 15.8056i | 0.899453 | + | 1.23799i | 0.970642 | + | 0.240528i | \(0.0773207\pi\) |
−0.0711888 | + | 0.997463i | \(0.522679\pi\) | |||||||
\(164\) | 1.53734 | − | 1.11694i | 0.120046 | − | 0.0872184i | ||||
\(165\) | 4.32370 | + | 2.15958i | 0.336600 | + | 0.168123i | ||||
\(166\) | −1.34184 | − | 0.974905i | −0.104147 | − | 0.0756673i | ||||
\(167\) | 4.67718 | + | 1.51971i | 0.361931 | + | 0.117599i | 0.484337 | − | 0.874882i | \(-0.339061\pi\) |
−0.122406 | + | 0.992480i | \(0.539061\pi\) | |||||||
\(168\) | 1.46782 | − | 0.476925i | 0.113245 | − | 0.0367956i | ||||
\(169\) | −10.3992 | + | 7.55545i | −0.799937 | + | 0.581189i | ||||
\(170\) | 0.399351 | + | 2.39695i | 0.0306288 | + | 0.183838i | ||||
\(171\) | −1.32328 | − | 4.07263i | −0.101194 | − | 0.311442i | ||||
\(172\) | 4.55789 | + | 6.27340i | 0.347536 | + | 0.478343i | ||||
\(173\) | −4.02967 | + | 1.30932i | −0.306370 | + | 0.0995456i | −0.458167 | − | 0.888866i | \(-0.651494\pi\) |
0.151797 | + | 0.988412i | \(0.451494\pi\) | |||||||
\(174\) | 1.31677 | − | 4.05259i | 0.0998238 | − | 0.307226i | ||||
\(175\) | −6.16955 | + | 4.63528i | −0.466374 | + | 0.350394i | ||||
\(176\) | −0.667908 | + | 2.05561i | −0.0503455 | + | 0.154947i | ||||
\(177\) | 2.06269 | + | 2.83905i | 0.155042 | + | 0.213396i | ||||
\(178\) | 0.248363 | + | 0.341842i | 0.0186156 | + | 0.0256221i | ||||
\(179\) | −2.55841 | − | 1.85879i | −0.191225 | − | 0.138933i | 0.488054 | − | 0.872814i | \(-0.337707\pi\) |
−0.679278 | + | 0.733881i | \(0.737707\pi\) | |||||||
\(180\) | 2.21127 | + | 0.332092i | 0.164818 | + | 0.0247527i | ||||
\(181\) | −20.7015 | −1.53873 | −0.769364 | − | 0.638811i | \(-0.779427\pi\) | ||||
−0.769364 | + | 0.638811i | \(0.779427\pi\) | |||||||
\(182\) | 0.346506 | − | 0.476925i | 0.0256848 | − | 0.0353520i | ||||
\(183\) | −4.72994 | + | 1.53685i | −0.349647 | + | 0.113607i | ||||
\(184\) | 1.38197 | − | 4.25325i | 0.101880 | − | 0.313554i | ||||
\(185\) | 1.23032 | − | 8.19222i | 0.0904549 | − | 0.602304i | ||||
\(186\) | −5.47414 | − | 1.01677i | −0.401383 | − | 0.0745533i | ||||
\(187\) | − | 2.34884i | − | 0.171764i | ||||||
\(188\) | −9.01470 | − | 2.92905i | −0.657464 | − | 0.213623i | ||||
\(189\) | 0.476925 | + | 1.46782i | 0.0346912 | + | 0.106769i | ||||
\(190\) | −6.71632 | + | 6.82481i | −0.487253 | + | 0.495124i | ||||
\(191\) | −20.7597 | −1.50212 | −0.751059 | − | 0.660236i | \(-0.770456\pi\) | ||||
−0.751059 | + | 0.660236i | \(0.770456\pi\) | |||||||
\(192\) | 1.00000i | 0.0721688i | ||||||||
\(193\) | 6.48891 | − | 8.93123i | 0.467082 | − | 0.642884i | −0.508876 | − | 0.860840i | \(-0.669939\pi\) |
0.975959 | + | 0.217956i | \(0.0699389\pi\) | |||||||
\(194\) | −11.2686 | + | 8.18713i | −0.809039 | + | 0.587802i | ||||
\(195\) | 0.757879 | − | 0.393839i | 0.0542729 | − | 0.0282034i | ||||
\(196\) | −1.42705 | + | 4.39201i | −0.101932 | + | 0.313715i | ||||
\(197\) | 2.27044 | − | 3.12500i | 0.161762 | − | 0.222647i | −0.720440 | − | 0.693517i | \(-0.756060\pi\) |
0.882202 | + | 0.470871i | \(0.156060\pi\) | |||||||
\(198\) | −2.05561 | − | 0.667908i | −0.146086 | − | 0.0474662i | ||||
\(199\) | 1.22394 | + | 3.76689i | 0.0867626 | + | 0.267028i | 0.985020 | − | 0.172443i | \(-0.0551660\pi\) |
−0.898257 | + | 0.439471i | \(0.855166\pi\) | |||||||
\(200\) | −1.62108 | − | 4.72991i | −0.114628 | − | 0.334455i | ||||
\(201\) | 0.680446 | + | 2.09420i | 0.0479950 | + | 0.147713i | ||||
\(202\) | 0.738004 | − | 0.239792i | 0.0519258 | − | 0.0168717i | ||||
\(203\) | −3.86556 | − | 5.32049i | −0.271309 | − | 0.373425i | ||||
\(204\) | −0.335816 | − | 1.03354i | −0.0235118 | − | 0.0723620i | ||||
\(205\) | 1.89865 | − | 3.80130i | 0.132608 | − | 0.265495i | ||||
\(206\) | −13.6866 | − | 9.94393i | −0.953594 | − | 0.692826i | ||||
\(207\) | 4.25325 | + | 1.38197i | 0.295622 | + | 0.0960533i | ||||
\(208\) | 0.224514 | + | 0.309017i | 0.0155672 | + | 0.0214265i | ||||
\(209\) | 7.48791 | − | 5.44029i | 0.517950 | − | 0.376312i | ||||
\(210\) | 2.42064 | − | 2.45974i | 0.167040 | − | 0.169738i | ||||
\(211\) | −21.2293 | −1.46148 | −0.730741 | − | 0.682654i | \(-0.760825\pi\) | ||||
−0.730741 | + | 0.682654i | \(0.760825\pi\) | |||||||
\(212\) | − | 5.91975i | − | 0.406570i | ||||||
\(213\) | −3.13631 | + | 4.31677i | −0.214897 | + | 0.295780i | ||||
\(214\) | −0.278772 | − | 0.857971i | −0.0190564 | − | 0.0586497i | ||||
\(215\) | 15.5120 | + | 7.74783i | 1.05791 | + | 0.528397i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −6.23549 | + | 5.91266i | −0.423293 | + | 0.401378i | ||||
\(218\) | 13.9969i | 0.947990i | ||||||||
\(219\) | 2.03348 | − | 6.25842i | 0.137410 | − | 0.422905i | ||||
\(220\) | 0.794274 | + | 4.76731i | 0.0535499 | + | 0.321412i | ||||
\(221\) | −0.335816 | − | 0.243985i | −0.0225894 | − | 0.0164122i | ||||
\(222\) | 3.70476i | 0.248647i | ||||||||
\(223\) | − | 15.4742i | − | 1.03623i | −0.855311 | − | 0.518114i | \(-0.826634\pi\) | ||
0.855311 | − | 0.518114i | \(-0.173366\pi\) | |||||||
\(224\) | 1.24861 | + | 0.907165i | 0.0834260 | + | 0.0606125i | ||||
\(225\) | 4.72991 | − | 1.62108i | 0.315328 | − | 0.108072i | ||||
\(226\) | −3.29569 | + | 2.39446i | −0.219226 | + | 0.159277i | ||||
\(227\) | 1.40592 | + | 0.456810i | 0.0933140 | + | 0.0303195i | 0.355302 | − | 0.934752i | \(-0.384378\pi\) |
−0.261988 | + | 0.965071i | \(0.584378\pi\) | |||||||
\(228\) | 2.51702 | − | 3.46439i | 0.166694 | − | 0.229435i | ||||
\(229\) | −4.18554 | + | 12.8818i | −0.276588 | + | 0.851250i | 0.712207 | + | 0.701970i | \(0.247696\pi\) |
−0.988795 | + | 0.149281i | \(0.952304\pi\) | |||||||
\(230\) | −1.64343 | − | 9.86403i | −0.108364 | − | 0.650415i | ||||
\(231\) | −2.69873 | + | 1.96074i | −0.177564 | + | 0.129007i | ||||
\(232\) | 4.05259 | − | 1.31677i | 0.266065 | − | 0.0864499i | ||||
\(233\) | −14.9173 | + | 4.84693i | −0.977266 | + | 0.317533i | −0.753746 | − | 0.657166i | \(-0.771755\pi\) |
−0.223521 | + | 0.974699i | \(0.571755\pi\) | |||||||
\(234\) | −0.309017 | + | 0.224514i | −0.0202011 | + | 0.0146769i | ||||
\(235\) | −20.9066 | + | 3.48322i | −1.36380 | + | 0.227220i | ||||
\(236\) | −1.08442 | + | 3.33751i | −0.0705899 | + | 0.217253i | ||||
\(237\) | 2.91888 | − | 4.01750i | 0.189602 | − | 0.260965i | ||||
\(238\) | −1.59512 | − | 0.518286i | −0.103396 | − | 0.0335955i | ||||
\(239\) | 6.30172 | − | 4.57847i | 0.407624 | − | 0.296156i | −0.365015 | − | 0.931002i | \(-0.618936\pi\) |
0.772639 | + | 0.634845i | \(0.218936\pi\) | |||||||
\(240\) | 1.03108 | + | 1.98415i | 0.0665562 | + | 0.128077i | ||||
\(241\) | −10.6586 | − | 7.74393i | −0.686581 | − | 0.498831i | 0.188953 | − | 0.981986i | \(-0.439491\pi\) |
−0.875535 | + | 0.483156i | \(0.839491\pi\) | |||||||
\(242\) | 6.32837i | 0.406803i | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −4.02352 | − | 2.92326i | −0.257580 | − | 0.187143i | ||||
\(245\) | 1.69704 | + | 10.1858i | 0.108420 | + | 0.650749i | ||||
\(246\) | −0.587210 | + | 1.80725i | −0.0374391 | + | 0.115226i | ||||
\(247\) | − | 1.63566i | − | 0.104075i | ||||||
\(248\) | −2.39503 | − | 5.02631i | −0.152085 | − | 0.319171i | ||||
\(249\) | 1.65861 | 0.105110 | ||||||||
\(250\) | −8.09342 | − | 7.71340i | −0.511873 | − | 0.487839i | ||||
\(251\) | 0.590934 | + | 1.81871i | 0.0372994 | + | 0.114796i | 0.967973 | − | 0.251056i | \(-0.0807778\pi\) |
−0.930673 | + | 0.365852i | \(0.880778\pi\) | |||||||
\(252\) | −0.907165 | + | 1.24861i | −0.0571460 | + | 0.0786548i | ||||
\(253\) | 9.66606i | 0.607700i | ||||||||
\(254\) | 0.332370 | 0.0208548 | ||||||||
\(255\) | −1.73197 | − | 1.70444i | −0.108460 | − | 0.106736i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −11.1510 | − | 15.3480i | −0.695580 | − | 0.957384i | −0.999988 | − | 0.00484260i | \(-0.998459\pi\) |
0.304408 | − | 0.952542i | \(-0.401541\pi\) | |||||||
\(258\) | −7.37483 | − | 2.39623i | −0.459137 | − | 0.149183i | ||||
\(259\) | 4.62578 | + | 3.36083i | 0.287432 | + | 0.208832i | ||||
\(260\) | 0.764093 | + | 0.381644i | 0.0473870 | + | 0.0236686i | ||||
\(261\) | 1.31677 | + | 4.05259i | 0.0815058 | + | 0.250849i | ||||
\(262\) | −0.415498 | − | 0.571884i | −0.0256696 | − | 0.0353311i | ||||
\(263\) | −17.5103 | + | 5.68943i | −1.07973 | + | 0.350825i | −0.794270 | − | 0.607565i | \(-0.792146\pi\) |
−0.285460 | + | 0.958391i | \(0.592146\pi\) | |||||||
\(264\) | −0.667908 | − | 2.05561i | −0.0411069 | − | 0.126514i | ||||
\(265\) | −6.10376 | − | 11.7457i | −0.374951 | − | 0.721532i | ||||
\(266\) | −2.04230 | − | 6.28554i | −0.125221 | − | 0.385391i | ||||
\(267\) | −0.401859 | − | 0.130572i | −0.0245934 | − | 0.00799088i | ||||
\(268\) | −1.29429 | + | 1.78143i | −0.0790611 | + | 0.108818i | ||||
\(269\) | −9.02322 | + | 27.7706i | −0.550156 | + | 1.69321i | 0.158249 | + | 0.987399i | \(0.449415\pi\) |
−0.708405 | + | 0.705806i | \(0.750585\pi\) | |||||||
\(270\) | −1.98415 | + | 1.03108i | −0.120752 | + | 0.0627498i | ||||
\(271\) | −8.12751 | + | 5.90498i | −0.493711 | + | 0.358702i | −0.806610 | − | 0.591085i | \(-0.798700\pi\) |
0.312899 | + | 0.949786i | \(0.398700\pi\) | |||||||
\(272\) | 0.638760 | − | 0.879178i | 0.0387305 | − | 0.0533080i | ||||
\(273\) | 0.589512i | 0.0356789i | ||||||||
\(274\) | 18.9758 | 1.14637 | ||||||||
\(275\) | 6.49146 | + | 8.64012i | 0.391450 | + | 0.521019i | ||||
\(276\) | 1.38197 | + | 4.25325i | 0.0831846 | + | 0.256016i | ||||
\(277\) | −7.30801 | − | 2.37452i | −0.439096 | − | 0.142671i | 0.0811225 | − | 0.996704i | \(-0.474149\pi\) |
−0.520219 | + | 0.854033i | \(0.674149\pi\) | |||||||
\(278\) | 10.7683i | 0.645838i | ||||||||
\(279\) | 5.02631 | − | 2.39503i | 0.300917 | − | 0.143387i | ||||
\(280\) | 3.41279 | + | 0.512538i | 0.203953 | + | 0.0306300i | ||||
\(281\) | 4.63726 | − | 14.2720i | 0.276636 | − | 0.851397i | −0.712147 | − | 0.702031i | \(-0.752277\pi\) |
0.988782 | − | 0.149366i | \(-0.0477232\pi\) | |||||||
\(282\) | 9.01470 | − | 2.92905i | 0.536817 | − | 0.174423i | ||||
\(283\) | 2.11242 | − | 2.90749i | 0.125570 | − | 0.172832i | −0.741603 | − | 0.670839i | \(-0.765934\pi\) |
0.867173 | + | 0.498006i | \(0.165934\pi\) | |||||||
\(284\) | −5.33582 | −0.316622 | ||||||||
\(285\) | 1.42209 | − | 9.46914i | 0.0842373 | − | 0.560903i | ||||
\(286\) | −0.667908 | − | 0.485264i | −0.0394942 | − | 0.0286942i | ||||
\(287\) | 1.72384 | + | 2.37267i | 0.101755 | + | 0.140054i | ||||
\(288\) | −0.587785 | − | 0.809017i | −0.0346356 | − | 0.0476718i | ||||
\(289\) | 4.88835 | − | 15.0448i | 0.287550 | − | 0.884988i | ||||
\(290\) | 6.68326 | − | 6.79123i | 0.392455 | − | 0.398794i | ||||
\(291\) | 4.30423 | − | 13.2471i | 0.252318 | − | 0.776556i | ||||
\(292\) | 6.25842 | − | 2.03348i | 0.366246 | − | 0.119001i | ||||
\(293\) | 2.60793 | + | 3.58951i | 0.152357 | + | 0.209702i | 0.878372 | − | 0.477977i | \(-0.158630\pi\) |
−0.726015 | + | 0.687679i | \(0.758630\pi\) | |||||||
\(294\) | −1.42705 | − | 4.39201i | −0.0832273 | − | 0.256147i | ||||
\(295\) | 1.28959 | + | 7.74026i | 0.0750829 | + | 0.450655i | ||||
\(296\) | −2.99721 | + | 2.17760i | −0.174209 | + | 0.126571i | ||||
\(297\) | 2.05561 | − | 0.667908i | 0.119279 | − | 0.0387560i | ||||
\(298\) | 8.34593 | + | 2.71176i | 0.483467 | + | 0.157088i | ||||
\(299\) | 1.38197 | + | 1.00406i | 0.0799212 | + | 0.0580661i | ||||
\(300\) | 4.09166 | + | 2.87373i | 0.236232 | + | 0.165915i | ||||
\(301\) | −9.68213 | + | 7.03448i | −0.558069 | + | 0.405461i | ||||
\(302\) | 10.6189 | + | 14.6157i | 0.611050 | + | 0.841039i | ||||
\(303\) | −0.456112 | + | 0.627784i | −0.0262029 | + | 0.0360653i | ||||
\(304\) | 4.28222 | 0.245602 | ||||||||
\(305\) | −10.9974 | − | 1.65161i | −0.629710 | − | 0.0945709i | ||||
\(306\) | 0.879178 | + | 0.638760i | 0.0502593 | + | 0.0365155i | ||||
\(307\) | −22.9191 | + | 7.44685i | −1.30806 | + | 0.425014i | −0.878378 | − | 0.477966i | \(-0.841374\pi\) |
−0.429681 | + | 0.902981i | \(0.641374\pi\) | |||||||
\(308\) | −3.17255 | − | 1.03082i | −0.180773 | − | 0.0587366i | ||||
\(309\) | 16.9176 | 0.962410 | ||||||||
\(310\) | −9.93466 | − | 7.50350i | −0.564251 | − | 0.426170i | ||||
\(311\) | 32.7345 | 1.85620 | 0.928102 | − | 0.372325i | \(-0.121439\pi\) | ||||
0.928102 | + | 0.372325i | \(0.121439\pi\) | |||||||
\(312\) | −0.363271 | − | 0.118034i | −0.0205662 | − | 0.00668236i | ||||
\(313\) | 11.8328 | − | 3.84472i | 0.668832 | − | 0.217317i | 0.0451324 | − | 0.998981i | \(-0.485629\pi\) |
0.623699 | + | 0.781664i | \(0.285629\pi\) | |||||||
\(314\) | 5.68541 | + | 4.13069i | 0.320846 | + | 0.233108i | ||||
\(315\) | −0.512538 | + | 3.41279i | −0.0288782 | + | 0.192289i | ||||
\(316\) | 4.96590 | 0.279354 | ||||||||
\(317\) | 0.284396 | − | 0.391438i | 0.0159733 | − | 0.0219853i | −0.800956 | − | 0.598724i | \(-0.795675\pi\) |
0.816929 | + | 0.576738i | \(0.195675\pi\) | |||||||
\(318\) | 3.47954 | + | 4.78918i | 0.195123 | + | 0.268564i | ||||
\(319\) | −7.45106 | + | 5.41351i | −0.417179 | + | 0.303099i | ||||
\(320\) | −0.999158 | + | 2.00042i | −0.0558546 | + | 0.111827i | ||||
\(321\) | 0.729834 | + | 0.530255i | 0.0407354 | + | 0.0295960i | ||||
\(322\) | 6.56431 | + | 2.13287i | 0.365815 | + | 0.118860i | ||||
\(323\) | −4.42583 | + | 1.43804i | −0.246260 | + | 0.0800146i | ||||
\(324\) | 0.809017 | − | 0.587785i | 0.0449454 | − | 0.0326547i | ||||
\(325\) | 1.90958 | − | 0.0306024i | 0.105925 | − | 0.00169751i | ||||
\(326\) | −6.03721 | − | 18.5806i | −0.334370 | − | 1.02909i | ||||
\(327\) | −8.22717 | − | 11.3237i | −0.454964 | − | 0.626204i | ||||
\(328\) | −1.80725 | + | 0.587210i | −0.0997885 | + | 0.0324233i | ||||
\(329\) | 4.52059 | − | 13.9129i | 0.249228 | − | 0.767045i | ||||
\(330\) | −3.44474 | − | 3.38998i | −0.189627 | − | 0.186612i | ||||
\(331\) | −9.00648 | + | 27.7191i | −0.495041 | + | 1.52358i | 0.321853 | + | 0.946790i | \(0.395694\pi\) |
−0.816893 | + | 0.576789i | \(0.804306\pi\) | |||||||
\(332\) | 0.974905 | + | 1.34184i | 0.0535049 | + | 0.0736431i | ||||
\(333\) | −2.17760 | − | 2.99721i | −0.119332 | − | 0.164246i | ||||
\(334\) | −3.97865 | − | 2.89066i | −0.217702 | − | 0.158170i | ||||
\(335\) | −0.731256 | + | 4.86915i | −0.0399528 | + | 0.266030i | ||||
\(336\) | −1.54336 | −0.0841973 | ||||||||
\(337\) | −9.72394 | + | 13.3839i | −0.529697 | + | 0.729065i | −0.987084 | − | 0.160202i | \(-0.948785\pi\) |
0.457387 | + | 0.889268i | \(0.348785\pi\) | |||||||
\(338\) | 12.2250 | − | 3.97214i | 0.664951 | − | 0.216056i | ||||
\(339\) | 1.25884 | − | 3.87432i | 0.0683709 | − | 0.210424i | ||||
\(340\) | 0.360892 | − | 2.40304i | 0.0195721 | − | 0.130323i | ||||
\(341\) | 8.28037 | + | 8.73248i | 0.448407 | + | 0.472890i | ||||
\(342\) | 4.28222i | 0.231556i | ||||||||
\(343\) | −17.0532 | − | 5.54093i | −0.920788 | − | 0.299182i | ||||
\(344\) | −2.39623 | − | 7.37483i | −0.129196 | − | 0.397624i | ||||
\(345\) | 7.12749 | + | 7.01419i | 0.383731 | + | 0.377631i | ||||
\(346\) | 4.23704 | 0.227785 | ||||||||
\(347\) | − | 16.8460i | − | 0.904340i | −0.891932 | − | 0.452170i | \(-0.850650\pi\) | ||
0.891932 | − | 0.452170i | \(-0.149350\pi\) | |||||||
\(348\) | −2.50464 | + | 3.44734i | −0.134263 | + | 0.184797i | ||||
\(349\) | −1.27971 | + | 0.929762i | −0.0685012 | + | 0.0497690i | −0.621509 | − | 0.783407i | \(-0.713480\pi\) |
0.553008 | + | 0.833176i | \(0.313480\pi\) | |||||||
\(350\) | 7.29997 | − | 2.50192i | 0.390200 | − | 0.133733i | ||||
\(351\) | 0.118034 | − | 0.363271i | 0.00630019 | − | 0.0193900i | ||||
\(352\) | 1.27044 | − | 1.74861i | 0.0677145 | − | 0.0932010i | ||||
\(353\) | −3.82933 | − | 1.24422i | −0.203814 | − | 0.0662233i | 0.205331 | − | 0.978693i | \(-0.434173\pi\) |
−0.409145 | + | 0.912469i | \(0.634173\pi\) | |||||||
\(354\) | −1.08442 | − | 3.33751i | −0.0576364 | − | 0.177387i | ||||
\(355\) | −10.5871 | + | 5.50167i | −0.561904 | + | 0.291999i | ||||
\(356\) | −0.130572 | − | 0.401859i | −0.00692030 | − | 0.0212985i | ||||
\(357\) | 1.59512 | − | 0.518286i | 0.0844227 | − | 0.0274306i | ||||
\(358\) | 1.85879 | + | 2.55841i | 0.0982403 | + | 0.135216i | ||||
\(359\) | −3.33697 | − | 10.2701i | −0.176119 | − | 0.542038i | 0.823564 | − | 0.567223i | \(-0.191982\pi\) |
−0.999683 | + | 0.0251856i | \(0.991982\pi\) | |||||||
\(360\) | −2.00042 | − | 0.999158i | −0.105431 | − | 0.0526603i | ||||
\(361\) | 0.536063 | + | 0.389473i | 0.0282138 | + | 0.0204986i | ||||
\(362\) | 19.6883 | + | 6.39711i | 1.03479 | + | 0.336224i | ||||
\(363\) | −3.71972 | − | 5.11976i | −0.195235 | − | 0.268718i | ||||
\(364\) | −0.476925 | + | 0.346506i | −0.0249977 | + | 0.0181619i | ||||
\(365\) | 10.3210 | − | 10.4877i | 0.540224 | − | 0.548951i | ||||
\(366\) | 4.97335 | 0.259961 | ||||||||
\(367\) | 5.82229i | 0.303921i | 0.988387 | + | 0.151961i | \(0.0485587\pi\) | ||||
−0.988387 | + | 0.151961i | \(0.951441\pi\) | |||||||
\(368\) | −2.62866 | + | 3.61803i | −0.137028 | + | 0.188603i | ||||
\(369\) | −0.587210 | − | 1.80725i | −0.0305689 | − | 0.0940815i | ||||
\(370\) | −3.70164 | + | 7.41107i | −0.192439 | + | 0.385283i | ||||
\(371\) | 9.13632 | 0.474334 | ||||||||
\(372\) | 4.89201 | + | 2.65861i | 0.253639 | + | 0.137842i | ||||
\(373\) | − | 13.3684i | − | 0.692189i | −0.938200 | − | 0.346094i | \(-0.887508\pi\) | ||
0.938200 | − | 0.346094i | \(-0.112492\pi\) | |||||||
\(374\) | −0.725832 | + | 2.23388i | −0.0375319 | + | 0.115511i | ||||
\(375\) | 11.0815 | + | 1.48308i | 0.572248 | + | 0.0765861i | ||||
\(376\) | 7.66836 | + | 5.57139i | 0.395465 | + | 0.287322i | ||||
\(377\) | 1.62761i | 0.0838263i | ||||||||
\(378\) | − | 1.54336i | − | 0.0793820i | ||||||
\(379\) | 16.0037 | + | 11.6274i | 0.822057 | + | 0.597260i | 0.917301 | − | 0.398194i | \(-0.130363\pi\) |
−0.0952438 | + | 0.995454i | \(0.530363\pi\) | |||||||
\(380\) | 8.49658 | − | 4.41533i | 0.435865 | − | 0.226501i | ||||
\(381\) | −0.268893 | + | 0.195362i | −0.0137758 | + | 0.0100087i | ||||
\(382\) | 19.7436 | + | 6.41509i | 1.01017 | + | 0.328225i | ||||
\(383\) | 0.198993 | − | 0.273890i | 0.0101681 | − | 0.0139951i | −0.803903 | − | 0.594761i | \(-0.797247\pi\) |
0.814071 | + | 0.580766i | \(0.197247\pi\) | |||||||
\(384\) | 0.309017 | − | 0.951057i | 0.0157695 | − | 0.0485334i | ||||
\(385\) | −7.35769 | + | 1.22585i | −0.374983 | + | 0.0624752i | ||||
\(386\) | −8.93123 | + | 6.48891i | −0.454587 | + | 0.330277i | ||||
\(387\) | 7.37483 | − | 2.39623i | 0.374884 | − | 0.121807i | ||||
\(388\) | 13.2471 | − | 4.30423i | 0.672517 | − | 0.218514i | ||||
\(389\) | −4.37570 | + | 3.17913i | −0.221857 | + | 0.161188i | −0.693162 | − | 0.720782i | \(-0.743783\pi\) |
0.471305 | + | 0.881970i | \(0.343783\pi\) | |||||||
\(390\) | −0.842489 | + | 0.140366i | −0.0426611 | + | 0.00710769i | ||||
\(391\) | 1.50182 | − | 4.62211i | 0.0759501 | − | 0.233750i | ||||
\(392\) | 2.71441 | − | 3.73607i | 0.137099 | − | 0.188700i | ||||
\(393\) | 0.672290 | + | 0.218440i | 0.0339125 | + | 0.0110189i | ||||
\(394\) | −3.12500 | + | 2.27044i | −0.157435 | + | 0.114383i | ||||
\(395\) | 9.85311 | − | 5.12026i | 0.495764 | − | 0.257628i | ||||
\(396\) | 1.74861 | + | 1.27044i | 0.0878708 | + | 0.0638418i | ||||
\(397\) | − | 13.5456i | − | 0.679833i | −0.940456 | − | 0.339917i | \(-0.889601\pi\) | ||
0.940456 | − | 0.339917i | \(-0.110399\pi\) | |||||||
\(398\) | − | 3.96074i | − | 0.198534i | ||||||
\(399\) | 5.34680 | + | 3.88468i | 0.267675 | + | 0.194477i | ||||
\(400\) | 0.0801180 | + | 4.99936i | 0.00400590 | + | 0.249968i | ||||
\(401\) | 9.56816 | − | 29.4478i | 0.477811 | − | 1.47055i | −0.364318 | − | 0.931275i | \(-0.618698\pi\) |
0.842129 | − | 0.539277i | \(-0.181302\pi\) | |||||||
\(402\) | − | 2.20197i | − | 0.109824i | ||||||
\(403\) | 2.10861 | − | 0.276771i | 0.105037 | − | 0.0137869i | ||||
\(404\) | −0.775984 | −0.0386066 | ||||||||
\(405\) | 0.999158 | − | 2.00042i | 0.0496486 | − | 0.0994017i | ||||
\(406\) | 2.03225 | + | 6.25461i | 0.100859 | + | 0.310411i | ||||
\(407\) | 4.70666 | − | 6.47816i | 0.233300 | − | 0.321111i | ||||
\(408\) | 1.08672i | 0.0538008i | ||||||||
\(409\) | −5.96474 | −0.294938 | −0.147469 | − | 0.989067i | \(-0.547113\pi\) | ||||
−0.147469 | + | 0.989067i | \(0.547113\pi\) | |||||||
\(410\) | −2.98039 | + | 3.02854i | −0.147191 | + | 0.149569i | ||||
\(411\) | −15.3518 | + | 11.1537i | −0.757247 | + | 0.550172i | ||||
\(412\) | 9.94393 | + | 13.6866i | 0.489902 | + | 0.674293i | ||||
\(413\) | −5.15098 | − | 1.67366i | −0.253463 | − | 0.0823552i | ||||
\(414\) | −3.61803 | − | 2.62866i | −0.177817 | − | 0.129191i | ||||
\(415\) | 3.31791 | + | 1.65721i | 0.162870 | + | 0.0813493i | ||||
\(416\) | −0.118034 | − | 0.363271i | −0.00578709 | − | 0.0178108i | ||||
\(417\) | −6.32944 | − | 8.71172i | −0.309954 | − | 0.426615i | ||||
\(418\) | −8.80257 | + | 2.86013i | −0.430548 | + | 0.139893i | ||||
\(419\) | −7.19594 | − | 22.1468i | −0.351545 | − | 1.08194i | −0.957986 | − | 0.286815i | \(-0.907403\pi\) |
0.606441 | − | 0.795128i | \(-0.292597\pi\) | |||||||
\(420\) | −3.06227 | + | 1.59134i | −0.149423 | + | 0.0776492i | ||||
\(421\) | −9.05571 | − | 27.8706i | −0.441349 | − | 1.35833i | −0.886439 | − | 0.462845i | \(-0.846828\pi\) |
0.445090 | − | 0.895486i | \(-0.353172\pi\) | |||||||
\(422\) | 20.1902 | + | 6.56020i | 0.982845 | + | 0.319346i | ||||
\(423\) | −5.57139 | + | 7.66836i | −0.270890 | + | 0.372848i | ||||
\(424\) | −1.82930 | + | 5.63002i | −0.0888389 | + | 0.273418i | ||||
\(425\) | −1.76167 | − | 5.14011i | −0.0854535 | − | 0.249332i | ||||
\(426\) | 4.31677 | − | 3.13631i | 0.209148 | − | 0.151955i | ||||
\(427\) | 4.51165 | − | 6.20976i | 0.218334 | − | 0.300511i | ||||
\(428\) | 0.902124i | 0.0436058i | ||||||||
\(429\) | 0.825580 | 0.0398594 | ||||||||
\(430\) | −12.3585 | − | 12.1621i | −0.595982 | − | 0.586508i | ||||
\(431\) | 4.88405 | + | 15.0316i | 0.235256 | + | 0.724044i | 0.997087 | + | 0.0762685i | \(0.0243006\pi\) |
−0.761831 | + | 0.647776i | \(0.775699\pi\) | |||||||
\(432\) | 0.951057 | + | 0.309017i | 0.0457577 | + | 0.0148676i | ||||
\(433\) | 21.4746i | 1.03200i | 0.856587 | + | 0.516002i | \(0.172580\pi\) | ||||
−0.856587 | + | 0.516002i | \(0.827420\pi\) | |||||||
\(434\) | 7.75742 | − | 3.69640i | 0.372368 | − | 0.177433i | ||||
\(435\) | −1.41509 | + | 9.42254i | −0.0678484 | + | 0.451776i | ||||
\(436\) | 4.32528 | − | 13.3118i | 0.207143 | − | 0.637522i | ||||
\(437\) | 18.2134 | − | 5.91788i | 0.871263 | − | 0.283091i | ||||
\(438\) | −3.86791 | + | 5.32373i | −0.184816 | + | 0.254378i | ||||
\(439\) | 32.1050 | 1.53229 | 0.766144 | − | 0.642669i | \(-0.222173\pi\) | ||||
0.766144 | + | 0.642669i | \(0.222173\pi\) | |||||||
\(440\) | 0.717782 | − | 4.77943i | 0.0342189 | − | 0.227850i | ||||
\(441\) | 3.73607 | + | 2.71441i | 0.177908 | + | 0.129258i | ||||
\(442\) | 0.243985 | + | 0.335816i | 0.0116052 | + | 0.0159731i | ||||
\(443\) | −4.30918 | − | 5.93108i | −0.204735 | − | 0.281794i | 0.694286 | − | 0.719699i | \(-0.255720\pi\) |
−0.899021 | + | 0.437906i | \(0.855720\pi\) | |||||||
\(444\) | 1.14483 | − | 3.52343i | 0.0543314 | − | 0.167215i | ||||
\(445\) | −0.673426 | − | 0.662720i | −0.0319234 | − | 0.0314159i | ||||
\(446\) | −4.78179 | + | 14.7168i | −0.226424 | + | 0.696862i | ||||
\(447\) | −8.34593 | + | 2.71176i | −0.394749 | + | 0.128262i | ||||
\(448\) | −0.907165 | − | 1.24861i | −0.0428595 | − | 0.0589911i | ||||
\(449\) | 4.42971 | + | 13.6332i | 0.209051 | + | 0.643393i | 0.999523 | + | 0.0308941i | \(0.00983547\pi\) |
−0.790472 | + | 0.612499i | \(0.790165\pi\) | |||||||
\(450\) | −4.99936 | + | 0.0801180i | −0.235672 | + | 0.00377680i | ||||
\(451\) | 3.32279 | − | 2.41415i | 0.156464 | − | 0.113678i | ||||
\(452\) | 3.87432 | − | 1.25884i | 0.182233 | − | 0.0592110i | ||||
\(453\) | −17.1818 | − | 5.58270i | −0.807270 | − | 0.262298i | ||||
\(454\) | −1.19594 | − | 0.868904i | −0.0561284 | − | 0.0407797i | ||||
\(455\) | −0.589016 | + | 1.17927i | −0.0276135 | + | 0.0552851i | ||||
\(456\) | −3.46439 | + | 2.51702i | −0.162235 | + | 0.117870i | ||||
\(457\) | −16.6365 | − | 22.8981i | −0.778221 | − | 1.07113i | −0.995476 | − | 0.0950141i | \(-0.969710\pi\) |
0.217255 | − | 0.976115i | \(-0.430290\pi\) | |||||||
\(458\) | 7.96136 | − | 10.9579i | 0.372010 | − | 0.512028i | ||||
\(459\) | −1.08672 | −0.0507239 | ||||||||
\(460\) | −1.48516 | + | 9.88910i | −0.0692460 | + | 0.461082i | ||||
\(461\) | −4.14049 | − | 3.00824i | −0.192842 | − | 0.140108i | 0.487175 | − | 0.873305i | \(-0.338027\pi\) |
−0.680017 | + | 0.733197i | \(0.738027\pi\) | |||||||
\(462\) | 3.17255 | − | 1.03082i | 0.147600 | − | 0.0479583i | ||||
\(463\) | 28.8048 | + | 9.35925i | 1.33867 | + | 0.434961i | 0.888867 | − | 0.458165i | \(-0.151493\pi\) |
0.449806 | + | 0.893126i | \(0.351493\pi\) | |||||||
\(464\) | −4.26114 | −0.197819 | ||||||||
\(465\) | 12.4478 | + | 0.231010i | 0.577251 | + | 0.0107128i | ||||
\(466\) | 15.6850 | 0.726594 | ||||||||
\(467\) | 1.96730 | + | 0.639214i | 0.0910357 | + | 0.0295793i | 0.354181 | − | 0.935177i | \(-0.384760\pi\) |
−0.263145 | + | 0.964756i | \(0.584760\pi\) | |||||||
\(468\) | 0.363271 | − | 0.118034i | 0.0167922 | − | 0.00545612i | ||||
\(469\) | −2.74939 | − | 1.99755i | −0.126955 | − | 0.0922383i | ||||
\(470\) | 20.9598 | + | 3.14777i | 0.966802 | + | 0.145196i | ||||
\(471\) | −7.02755 | −0.323812 | ||||||||
\(472\) | 2.06269 | − | 2.83905i | 0.0949432 | − | 0.130678i | ||||
\(473\) | 9.85142 | + | 13.5593i | 0.452969 | + | 0.623458i | ||||
\(474\) | −4.01750 | + | 2.91888i | −0.184530 | + | 0.134069i | ||||
\(475\) | 12.3059 | − | 17.5214i | 0.564636 | − | 0.803936i | ||||
\(476\) | 1.35689 | + | 0.985838i | 0.0621929 | + | 0.0451858i | ||||
\(477\) | −5.63002 | − | 1.82930i | −0.257781 | − | 0.0837581i | ||||
\(478\) | −7.40811 | + | 2.40704i | −0.338839 | + | 0.110096i | ||||
\(479\) | −24.3612 | + | 17.6995i | −1.11309 | + | 0.808710i | −0.983148 | − | 0.182812i | \(-0.941480\pi\) |
−0.129945 | + | 0.991521i | \(0.541480\pi\) | |||||||
\(480\) | −0.367482 | − | 2.20566i | −0.0167732 | − | 0.100674i | ||||
\(481\) | −0.437287 | − | 1.34583i | −0.0199386 | − | 0.0613647i | ||||
\(482\) | 7.74393 | + | 10.6586i | 0.352726 | + | 0.485486i | ||||
\(483\) | −6.56431 | + | 2.13287i | −0.298686 | + | 0.0970491i | ||||
\(484\) | 1.95557 | − | 6.01864i | 0.0888897 | − | 0.273574i | ||||
\(485\) | 21.8462 | − | 22.1991i | 0.991983 | − | 1.00801i | ||||
\(486\) | −0.309017 | + | 0.951057i | −0.0140173 | + | 0.0431408i | ||||
\(487\) | 25.0188 | + | 34.4354i | 1.13371 | + | 1.56042i | 0.780823 | + | 0.624752i | \(0.214800\pi\) |
0.352887 | + | 0.935666i | \(0.385200\pi\) | |||||||
\(488\) | 2.92326 | + | 4.02352i | 0.132330 | + | 0.182136i | ||||
\(489\) | 15.8056 | + | 11.4835i | 0.714755 | + | 0.519300i | ||||
\(490\) | 1.53361 | − | 10.2117i | 0.0692815 | − | 0.461318i | ||||
\(491\) | 9.09452 | 0.410430 | 0.205215 | − | 0.978717i | \(-0.434211\pi\) | ||||
0.205215 | + | 0.978717i | \(0.434211\pi\) | |||||||
\(492\) | 1.11694 | − | 1.53734i | 0.0503555 | − | 0.0693085i | ||||
\(493\) | 4.40404 | − | 1.43096i | 0.198348 | − | 0.0644472i | ||||
\(494\) | −0.505447 | + | 1.55561i | −0.0227411 | + | 0.0699901i | ||||
\(495\) | 4.77943 | + | 0.717782i | 0.214819 | + | 0.0322619i | ||||
\(496\) | 0.724595 | + | 5.52041i | 0.0325353 | + | 0.247874i | ||||
\(497\) | − | 8.23510i | − | 0.369395i | ||||||
\(498\) | −1.57743 | − | 0.512538i | −0.0706863 | − | 0.0229674i | ||||
\(499\) | 3.73432 | + | 11.4931i | 0.167171 | + | 0.514500i | 0.999190 | − | 0.0402477i | \(-0.0128147\pi\) |
−0.832018 | + | 0.554748i | \(0.812815\pi\) | |||||||
\(500\) | 5.31372 | + | 9.83689i | 0.237637 | + | 0.439919i | ||||
\(501\) | 4.91788 | 0.219715 | ||||||||
\(502\) | − | 1.91230i | − | 0.0853503i | ||||||
\(503\) | −9.18621 | + | 12.6437i | −0.409593 | + | 0.563756i | −0.963119 | − | 0.269076i | \(-0.913282\pi\) |
0.553526 | + | 0.832832i | \(0.313282\pi\) | |||||||
\(504\) | 1.24861 | − | 0.907165i | 0.0556173 | − | 0.0404084i | ||||
\(505\) | −1.53967 | + | 0.800104i | −0.0685145 | + | 0.0356042i | ||||
\(506\) | 2.98698 | − | 9.19297i | 0.132787 | − | 0.408677i | ||||
\(507\) | −7.55545 | + | 10.3992i | −0.335549 | + | 0.461844i | ||||
\(508\) | −0.316103 | − | 0.102708i | −0.0140248 | − | 0.00455693i | ||||
\(509\) | 6.59412 | + | 20.2946i | 0.292279 | + | 0.899542i | 0.984122 | + | 0.177494i | \(0.0567991\pi\) |
−0.691843 | + | 0.722048i | \(0.743201\pi\) | |||||||
\(510\) | 1.12050 | + | 2.15623i | 0.0496167 | + | 0.0954793i | ||||
\(511\) | 3.13840 | + | 9.65900i | 0.138835 | + | 0.427289i | ||||
\(512\) | 0.951057 | − | 0.309017i | 0.0420312 | − | 0.0136568i | ||||
\(513\) | −2.51702 | − | 3.46439i | −0.111129 | − | 0.152956i | ||||
\(514\) | 5.86243 | + | 18.0427i | 0.258581 | + | 0.795830i | ||||
\(515\) | 33.8424 | + | 16.9034i | 1.49127 | + | 0.744852i | ||||
\(516\) | 6.27340 | + | 4.55789i | 0.276171 | + | 0.200650i | ||||
\(517\) | −19.4843 | − | 6.33084i | −0.856920 | − | 0.278430i | ||||
\(518\) | −3.36083 | − | 4.62578i | −0.147666 | − | 0.203245i | ||||
\(519\) | −3.42784 | + | 2.49047i | −0.150465 | + | 0.109319i | ||||
\(520\) | −0.608761 | − | 0.599083i | −0.0266959 | − | 0.0262715i | ||||
\(521\) | 21.3473 | 0.935243 | 0.467621 | − | 0.883929i | \(-0.345111\pi\) | ||||
0.467621 | + | 0.883929i | \(0.345111\pi\) | |||||||
\(522\) | − | 4.26114i | − | 0.186505i | ||||||
\(523\) | 9.91781 | − | 13.6507i | 0.433676 | − | 0.596903i | −0.535116 | − | 0.844778i | \(-0.679732\pi\) |
0.968792 | + | 0.247875i | \(0.0797323\pi\) | |||||||
\(524\) | 0.218440 | + | 0.672290i | 0.00954261 | + | 0.0293691i | ||||
\(525\) | −4.43521 | + | 6.31491i | −0.193568 | + | 0.275605i | ||||
\(526\) | 18.4114 | 0.802775 | ||||||||
\(527\) | −2.60274 | − | 5.46221i | −0.113377 | − | 0.237938i | ||||
\(528\) | 2.16140i | 0.0940627i | ||||||||
\(529\) | 0.927051 | − | 2.85317i | 0.0403066 | − | 0.124051i | ||||
\(530\) | 2.17540 | + | 13.0570i | 0.0944934 | + | 0.567159i | ||||
\(531\) | 2.83905 | + | 2.06269i | 0.123204 | + | 0.0895133i | ||||
\(532\) | 6.60901i | 0.286537i | ||||||||
\(533\) | − | 0.725832i | − | 0.0314393i | ||||||
\(534\) | 0.341842 | + | 0.248363i | 0.0147930 | + | 0.0107477i | ||||
\(535\) | 0.930166 | + | 1.78995i | 0.0402146 | + | 0.0773864i | ||||
\(536\) | 1.78143 | − | 1.29429i | 0.0769461 | − | 0.0559046i | ||||
\(537\) | −3.00759 | − | 0.977226i | −0.129787 | − | 0.0421704i | ||||
\(538\) | 17.1632 | − | 23.6231i | 0.739958 | − | 1.01846i | ||||
\(539\) | −3.08442 | + | 9.49288i | −0.132855 | + | 0.408887i | ||||
\(540\) | 2.20566 | − | 0.367482i | 0.0949167 | − | 0.0158139i | ||||
\(541\) | 13.4650 | − | 9.78290i | 0.578906 | − | 0.420600i | −0.259424 | − | 0.965764i | \(-0.583533\pi\) |
0.838330 | + | 0.545164i | \(0.183533\pi\) | |||||||
\(542\) | 9.55446 | − | 3.10443i | 0.410399 | − | 0.133347i | ||||
\(543\) | −19.6883 | + | 6.39711i | −0.844904 | + | 0.274526i | ||||
\(544\) | −0.879178 | + | 0.638760i | −0.0376944 | + | 0.0273866i | ||||
\(545\) | −5.14361 | − | 30.8725i | −0.220328 | − | 1.32243i | ||||
\(546\) | 0.182169 | − | 0.560659i | 0.00779612 | − | 0.0239940i | ||||
\(547\) | 16.5742 | − | 22.8124i | 0.708662 | − | 0.975389i | −0.291163 | − | 0.956673i | \(-0.594042\pi\) |
0.999825 | − | 0.0187156i | \(-0.00595770\pi\) | |||||||
\(548\) | −18.0471 | − | 5.86385i | −0.770933 | − | 0.250491i | ||||
\(549\) | −4.02352 | + | 2.92326i | −0.171720 | + | 0.124762i | ||||
\(550\) | −3.50380 | − | 10.2232i | −0.149403 | − | 0.435919i | ||||
\(551\) | 14.7623 | + | 10.7254i | 0.628893 | + | 0.456918i | ||||
\(552\) | − | 4.47214i | − | 0.190347i | ||||||
\(553\) | 7.66418i | 0.325914i | ||||||||
\(554\) | 6.21657 | + | 4.51660i | 0.264117 | + | 0.191892i | ||||
\(555\) | −1.36143 | − | 8.17145i | −0.0577895 | − | 0.346859i | ||||
\(556\) | 3.32758 | − | 10.2412i | 0.141121 | − | 0.434325i | ||||
\(557\) | 26.1159i | 1.10657i | 0.832993 | + | 0.553283i | \(0.186625\pi\) | ||||
−0.832993 | + | 0.553283i | \(0.813375\pi\) | |||||||
\(558\) | −5.52041 | + | 0.724595i | −0.233698 | + | 0.0306745i | ||||
\(559\) | 2.96190 | 0.125275 | ||||||||
\(560\) | −3.08737 | − | 1.54206i | −0.130465 | − | 0.0651640i | ||||
\(561\) | −0.725832 | − | 2.23388i | −0.0306446 | − | 0.0943145i | ||||
\(562\) | −8.82059 | + | 12.1405i | −0.372074 | + | 0.512116i | ||||
\(563\) | − | 0.639524i | − | 0.0269527i | −0.999909 | − | 0.0134764i | \(-0.995710\pi\) | ||
0.999909 | − | 0.0134764i | \(-0.00428979\pi\) | |||||||
\(564\) | −9.47861 | −0.399122 | ||||||||
\(565\) | 6.38927 | − | 6.49248i | 0.268799 | − | 0.273141i | ||||
\(566\) | −2.90749 | + | 2.11242i | −0.122211 | + | 0.0887915i | ||||
\(567\) | 0.907165 | + | 1.24861i | 0.0380974 | + | 0.0524365i | ||||
\(568\) | 5.07466 | + | 1.64886i | 0.212928 | + | 0.0691845i | ||||
\(569\) | 8.67741 | + | 6.30451i | 0.363776 | + | 0.264299i | 0.754625 | − | 0.656156i | \(-0.227819\pi\) |
−0.390849 | + | 0.920455i | \(0.627819\pi\) | |||||||
\(570\) | −4.27861 | + | 8.56624i | −0.179211 | + | 0.358800i | ||||
\(571\) | 3.86828 | + | 11.9054i | 0.161883 | + | 0.498223i | 0.998793 | − | 0.0491164i | \(-0.0156405\pi\) |
−0.836910 | + | 0.547340i | \(0.815641\pi\) | |||||||
\(572\) | 0.485264 | + | 0.667908i | 0.0202899 | + | 0.0279266i | ||||
\(573\) | −19.7436 | + | 6.41509i | −0.824802 | + | 0.267994i | ||||
\(574\) | −0.906278 | − | 2.78924i | −0.0378273 | − | 0.116420i | ||||
\(575\) | 7.24971 | + | 21.1528i | 0.302334 | + | 0.882134i | ||||
\(576\) | 0.309017 | + | 0.951057i | 0.0128757 | + | 0.0396274i | ||||
\(577\) | −32.0347 | − | 10.4087i | −1.33362 | − | 0.433321i | −0.446471 | − | 0.894798i | \(-0.647320\pi\) |
−0.887152 | + | 0.461477i | \(0.847320\pi\) | |||||||
\(578\) | −9.29819 | + | 12.7979i | −0.386754 | + | 0.532321i | ||||
\(579\) | 3.41142 | − | 10.4993i | 0.141774 | − | 0.436335i | ||||
\(580\) | −8.45476 | + | 4.39360i | −0.351065 | + | 0.182434i | ||||
\(581\) | −2.07095 | + | 1.50463i | −0.0859174 | + | 0.0624226i | ||||
\(582\) | −8.18713 | + | 11.2686i | −0.339367 | + | 0.467099i | ||||
\(583\) | − | 12.7949i | − | 0.529912i | ||||||
\(584\) | −6.58049 | −0.272303 | ||||||||
\(585\) | 0.599083 | − | 0.608761i | 0.0247690 | − | 0.0251692i | ||||
\(586\) | −1.37107 | − | 4.21972i | −0.0566384 | − | 0.174315i | ||||
\(587\) | 25.8363 | + | 8.39473i | 1.06638 | + | 0.346488i | 0.789077 | − | 0.614295i | \(-0.210559\pi\) |
0.277303 | + | 0.960783i | \(0.410559\pi\) | |||||||
\(588\) | 4.61803i | 0.190445i | ||||||||
\(589\) | 11.3847 | − | 20.9487i | 0.469100 | − | 0.863175i | ||||
\(590\) | 1.16540 | − | 7.75993i | 0.0479787 | − | 0.319471i | ||||
\(591\) | 1.19364 | − | 3.67365i | 0.0490999 | − | 0.151114i | ||||
\(592\) | 3.52343 | − | 1.14483i | 0.144812 | − | 0.0470524i | ||||
\(593\) | 23.2183 | − | 31.9572i | 0.953461 | − | 1.31233i | 0.00348754 | − | 0.999994i | \(-0.498890\pi\) |
0.949973 | − | 0.312332i | \(-0.101110\pi\) | |||||||
\(594\) | −2.16140 | −0.0886831 | ||||||||
\(595\) | 3.70876 | + | 0.556987i | 0.152044 | + | 0.0228343i | ||||
\(596\) | −7.09947 | − | 5.15807i | −0.290806 | − | 0.211283i | ||||
\(597\) | 2.32807 | + | 3.20431i | 0.0952814 | + | 0.131144i | ||||
\(598\) | −1.00406 | − | 1.38197i | −0.0410589 | − | 0.0565128i | ||||
\(599\) | 10.7618 | − | 33.1214i | 0.439715 | − | 1.35330i | −0.448461 | − | 0.893802i | \(-0.648028\pi\) |
0.888177 | − | 0.459502i | \(-0.151972\pi\) | |||||||
\(600\) | −3.00337 | − | 3.99747i | −0.122612 | − | 0.163196i | ||||
\(601\) | 0.651067 | − | 2.00378i | 0.0265576 | − | 0.0817358i | −0.936899 | − | 0.349599i | \(-0.886318\pi\) |
0.963457 | + | 0.267864i | \(0.0863177\pi\) | |||||||
\(602\) | 11.3820 | − | 3.69825i | 0.463897 | − | 0.150729i | ||||
\(603\) | 1.29429 | + | 1.78143i | 0.0527074 | + | 0.0725455i | ||||
\(604\) | −5.58270 | − | 17.1818i | −0.227157 | − | 0.699117i | ||||
\(605\) | −2.32556 | − | 13.9583i | −0.0945475 | − | 0.567484i | ||||
\(606\) | 0.627784 | − | 0.456112i | 0.0255020 | − | 0.0185283i | ||||
\(607\) | −35.3225 | + | 11.4770i | −1.43370 | + | 0.465836i | −0.919926 | − | 0.392093i | \(-0.871751\pi\) |
−0.513769 | + | 0.857928i | \(0.671751\pi\) | |||||||
\(608\) | −4.07263 | − | 1.32328i | −0.165167 | − | 0.0536660i | ||||
\(609\) | −5.32049 | − | 3.86556i | −0.215597 | − | 0.156640i | ||||
\(610\) | 9.94879 | + | 4.96916i | 0.402815 | + | 0.201196i | ||||
\(611\) | −2.92905 | + | 2.12808i | −0.118497 | + | 0.0860929i | ||||
\(612\) | −0.638760 | − | 0.879178i | −0.0258204 | − | 0.0355387i | ||||
\(613\) | 1.97399 | − | 2.71696i | 0.0797286 | − | 0.109737i | −0.767290 | − | 0.641300i | \(-0.778395\pi\) |
0.847019 | + | 0.531563i | \(0.178395\pi\) | |||||||
\(614\) | 24.0985 | 0.972537 | ||||||||
\(615\) | 0.631058 | − | 4.20197i | 0.0254467 | − | 0.169440i | ||||
\(616\) | 2.69873 | + | 1.96074i | 0.108735 | + | 0.0790006i | ||||
\(617\) | 0.838896 | − | 0.272574i | 0.0337727 | − | 0.0109734i | −0.292082 | − | 0.956393i | \(-0.594348\pi\) |
0.325855 | + | 0.945420i | \(0.394348\pi\) | |||||||
\(618\) | −16.0896 | − | 5.22783i | −0.647219 | − | 0.210294i | ||||
\(619\) | 7.56844 | 0.304201 | 0.152101 | − | 0.988365i | \(-0.451396\pi\) | ||||
0.152101 | + | 0.988365i | \(0.451396\pi\) | |||||||
\(620\) | 7.12972 | + | 10.2062i | 0.286336 | + | 0.409892i | ||||
\(621\) | 4.47214 | 0.179461 | ||||||||
\(622\) | −31.1324 | − | 10.1155i | −1.24829 | − | 0.405596i | ||||
\(623\) | 0.620214 | − | 0.201520i | 0.0248484 | − | 0.00807372i | ||||
\(624\) | 0.309017 | + | 0.224514i | 0.0123706 | + | 0.00898775i | ||||
\(625\) | 20.6859 | + | 14.0390i | 0.827436 | + | 0.561560i | ||||
\(626\) | −12.4418 | −0.497274 | ||||||||
\(627\) | 5.44029 | − | 7.48791i | 0.217264 | − | 0.299038i | ||||
\(628\) | −4.13069 | − | 5.68541i | −0.164832 | − | 0.226872i | ||||
\(629\) | −3.25714 | + | 2.36645i | −0.129871 | + | 0.0943566i | ||||
\(630\) | 1.54206 | − | 3.08737i | 0.0614372 | − | 0.123004i | ||||
\(631\) | 25.6058 | + | 18.6037i | 1.01935 | + | 0.740601i | 0.966150 | − | 0.257983i | \(-0.0830578\pi\) |
0.0532005 | + | 0.998584i | \(0.483058\pi\) | |||||||
\(632\) | −4.72285 | − | 1.53455i | −0.187865 | − | 0.0610410i | ||||
\(633\) | −20.1902 | + | 6.56020i | −0.802490 | + | 0.260745i | ||||
\(634\) | −0.391438 | + | 0.284396i | −0.0155460 | + | 0.0112948i | ||||
\(635\) | −0.733097 | + | 0.122140i | −0.0290921 | + | 0.00484698i | ||||
\(636\) | −1.82930 | − | 5.63002i | −0.0725366 | − | 0.223245i | ||||
\(637\) | 1.03681 | + | 1.42705i | 0.0410800 | + | 0.0565418i | ||||
\(638\) | 8.75925 | − | 2.84605i | 0.346782 | − | 0.112676i | ||||
\(639\) | −1.64886 | + | 5.07466i | −0.0652278 | + | 0.200751i | ||||
\(640\) | 1.56842 | − | 1.59376i | 0.0619972 | − | 0.0629987i | ||||
\(641\) | −2.80980 | + | 8.64769i | −0.110981 | + | 0.341563i | −0.991088 | − | 0.133212i | \(-0.957471\pi\) |
0.880107 | + | 0.474776i | \(0.157471\pi\) | |||||||
\(642\) | −0.530255 | − | 0.729834i | −0.0209275 | − | 0.0288042i | ||||
\(643\) | −18.5094 | − | 25.4759i | −0.729938 | − | 1.00467i | −0.999135 | − | 0.0415878i | \(-0.986758\pi\) |
0.269197 | − | 0.963085i | \(-0.413242\pi\) | |||||||
\(644\) | −5.58394 | − | 4.05697i | −0.220038 | − | 0.159867i | ||||
\(645\) | 17.1470 | + | 2.57516i | 0.675161 | + | 0.101397i | ||||
\(646\) | 4.65359 | 0.183093 | ||||||||
\(647\) | −14.0749 | + | 19.3724i | −0.553340 | + | 0.761607i | −0.990461 | − | 0.137796i | \(-0.955998\pi\) |
0.437121 | + | 0.899403i | \(0.355998\pi\) | |||||||
\(648\) | −0.951057 | + | 0.309017i | −0.0373610 | + | 0.0121393i | ||||
\(649\) | −2.34387 | + | 7.21368i | −0.0920048 | + | 0.283162i | ||||
\(650\) | −1.82558 | − | 0.560990i | −0.0716051 | − | 0.0220038i | ||||
\(651\) | −4.10319 | + | 7.55015i | −0.160817 | + | 0.295914i | ||||
\(652\) | 19.5368i | 0.765121i | ||||||||
\(653\) | −31.9211 | − | 10.3718i | −1.24917 | − | 0.405879i | −0.391546 | − | 0.920159i | \(-0.628059\pi\) |
−0.857623 | + | 0.514279i | \(0.828059\pi\) | |||||||
\(654\) | 4.32528 | + | 13.3118i | 0.169132 | + | 0.520534i | ||||
\(655\) | 1.12661 | + | 1.10870i | 0.0440202 | + | 0.0433204i | ||||
\(656\) | 1.90025 | 0.0741924 | ||||||||
\(657\) | − | 6.58049i | − | 0.256729i | ||||||
\(658\) | −8.59867 | + | 11.8351i | −0.335211 | + | 0.461378i | ||||
\(659\) | −32.1516 | + | 23.3595i | −1.25245 | + | 0.909957i | −0.998361 | − | 0.0572244i | \(-0.981775\pi\) |
−0.254087 | + | 0.967181i | \(0.581775\pi\) | |||||||
\(660\) | 2.22858 | + | 4.28854i | 0.0867474 | + | 0.166931i | ||||
\(661\) | 2.04838 | − | 6.30427i | 0.0796727 | − | 0.245208i | −0.903284 | − | 0.429042i | \(-0.858851\pi\) |
0.982957 | + | 0.183835i | \(0.0588511\pi\) | |||||||
\(662\) | 17.1313 | − | 23.5793i | 0.665828 | − | 0.916434i | ||||
\(663\) | −0.394776 | − | 0.128270i | −0.0153318 | − | 0.00498161i | ||||
\(664\) | −0.512538 | − | 1.57743i | −0.0198903 | − | 0.0612162i | ||||
\(665\) | 6.81445 | + | 13.1133i | 0.264253 | + | 0.508512i | ||||
\(666\) | 1.14483 | + | 3.52343i | 0.0443614 | + | 0.136530i | ||||
\(667\) | −18.1237 | + | 5.88876i | −0.701754 | + | 0.228014i | ||||
\(668\) | 2.89066 | + | 3.97865i | 0.111843 | + | 0.153939i | ||||
\(669\) | −4.78179 | − | 14.7168i | −0.184875 | − | 0.568986i | ||||
\(670\) | 2.20012 | − | 4.40487i | 0.0849979 | − | 0.170175i | ||||
\(671\) | −8.69643 | − | 6.31833i | −0.335722 | − | 0.243916i | ||||
\(672\) | 1.46782 | + | 0.476925i | 0.0566226 | + | 0.0183978i | ||||
\(673\) | 10.3303 | + | 14.2184i | 0.398203 | + | 0.548079i | 0.960292 | − | 0.278998i | \(-0.0900021\pi\) |
−0.562089 | + | 0.827077i | \(0.690002\pi\) | |||||||
\(674\) | 13.3839 | − | 9.72394i | 0.515527 | − | 0.374552i | ||||
\(675\) | 3.99747 | − | 3.00337i | 0.153863 | − | 0.115600i | ||||
\(676\) | −12.8541 | −0.494389 | ||||||||
\(677\) | − | 48.5416i | − | 1.86560i | −0.360389 | − | 0.932802i | \(-0.617356\pi\) | ||
0.360389 | − | 0.932802i | \(-0.382644\pi\) | |||||||
\(678\) | −2.39446 | + | 3.29569i | −0.0919587 | + | 0.126570i | ||||
\(679\) | 6.64298 | + | 20.4450i | 0.254934 | + | 0.784607i | ||||
\(680\) | −1.08581 | + | 2.17390i | −0.0416389 | + | 0.0833654i | ||||
\(681\) | 1.47827 | 0.0566474 | ||||||||
\(682\) | −5.17661 | − | 10.8639i | −0.198223 | − | 0.415998i | ||||
\(683\) | − | 36.3529i | − | 1.39101i | −0.718523 | − | 0.695503i | \(-0.755182\pi\) | ||
0.718523 | − | 0.695503i | \(-0.244818\pi\) | |||||||
\(684\) | 1.32328 | − | 4.07263i | 0.0505968 | − | 0.155721i | ||||
\(685\) | −41.8543 | + | 6.97327i | −1.59917 | + | 0.266435i | ||||
\(686\) | 14.5063 | + | 10.5395i | 0.553855 | + | 0.402399i | ||||
\(687\) | 13.5447i | 0.516762i | ||||||||
\(688\) | 7.75435i | 0.295632i | ||||||||
\(689\) | −1.82930 | − | 1.32907i | −0.0696909 | − | 0.0506334i | ||||
\(690\) | −4.61115 | − | 8.87341i | −0.175543 | − | 0.337805i | ||||
\(691\) | 10.4505 | − | 7.59271i | 0.397554 | − | 0.288840i | −0.370990 | − | 0.928637i | \(-0.620982\pi\) |
0.768544 | + | 0.639797i | \(0.220982\pi\) | |||||||
\(692\) | −4.02967 | − | 1.30932i | −0.153185 | − | 0.0497728i | ||||
\(693\) | −1.96074 | + | 2.69873i | −0.0744825 | + | 0.102516i | ||||
\(694\) | −5.20569 | + | 16.0215i | −0.197605 | + | 0.608167i | ||||
\(695\) | −3.95715 | − | 23.7512i | −0.150103 | − | 0.900935i | ||||
\(696\) | 3.44734 | − | 2.50464i | 0.130671 | − | 0.0949380i | ||||
\(697\) | −1.96398 | + | 0.638135i | −0.0743910 | + | 0.0241711i | ||||
\(698\) | 1.50439 | − | 0.488805i | 0.0569419 | − | 0.0185015i | ||||
\(699\) | −12.6894 | + | 9.21941i | −0.479958 | + | 0.348710i | ||||
\(700\) | −7.71582 | + | 0.123651i | −0.291631 | + | 0.00467357i | ||||
\(701\) | −5.56088 | + | 17.1146i | −0.210032 | + | 0.646411i | 0.789437 | + | 0.613831i | \(0.210372\pi\) |
−0.999469 | + | 0.0325800i | \(0.989628\pi\) | |||||||
\(702\) | −0.224514 | + | 0.309017i | −0.00847373 | + | 0.0116631i | ||||
\(703\) | −15.0881 | − | 4.90242i | −0.569059 | − | 0.184898i | ||||
\(704\) | −1.74861 | + | 1.27044i | −0.0659031 | + | 0.0478814i | ||||
\(705\) | −18.8070 | + | 9.77324i | −0.708313 | + | 0.368082i | ||||
\(706\) | 3.25742 | + | 2.36665i | 0.122595 | + | 0.0890702i | ||||
\(707\) | − | 1.19762i | − | 0.0450413i | ||||||
\(708\) | 3.50926i | 0.131886i | ||||||||
\(709\) | −40.0514 | − | 29.0990i | −1.50416 | − | 1.09284i | −0.968687 | − | 0.248286i | \(-0.920133\pi\) |
−0.535475 | − | 0.844551i | \(-0.679867\pi\) | |||||||
\(710\) | 11.7690 | − | 1.96082i | 0.441684 | − | 0.0735881i | ||||
\(711\) | 1.53455 | − | 4.72285i | 0.0575500 | − | 0.177121i | ||||
\(712\) | 0.422540i | 0.0158354i | ||||||||
\(713\) | 10.7109 | + | 22.4784i | 0.401127 | + | 0.841821i | ||||
\(714\) | −1.67721 | −0.0627679 | ||||||||
\(715\) | 1.65151 | + | 0.824885i | 0.0617629 | + | 0.0308489i | ||||
\(716\) | −0.977226 | − | 3.00759i | −0.0365206 | − | 0.112399i | ||||
\(717\) | 4.57847 | − | 6.30172i | 0.170986 | − | 0.235342i | ||||
\(718\) | 10.7987i | 0.403003i | ||||||||
\(719\) | −42.9610 | −1.60217 | −0.801087 | − | 0.598548i | \(-0.795745\pi\) | ||||
−0.801087 | + | 0.598548i | \(0.795745\pi\) | |||||||
\(720\) | 1.59376 | + | 1.56842i | 0.0593958 | + | 0.0584516i | ||||
\(721\) | −21.1234 | + | 15.3471i | −0.786678 | + | 0.571555i | ||||
\(722\) | −0.389473 | − | 0.536063i | −0.0144947 | − | 0.0199502i | ||||
\(723\) | −12.5299 | − | 4.07123i | −0.465994 | − | 0.151411i | ||||
\(724\) | −16.7478 | − | 12.1680i | −0.622429 | − | 0.452221i | ||||
\(725\) | −12.2454 | + | 17.4351i | −0.454782 | + | 0.647525i | ||||
\(726\) | 1.95557 | + | 6.01864i | 0.0725781 | + | 0.223373i | ||||
\(727\) | 2.54743 | + | 3.50623i | 0.0944789 | + | 0.130039i | 0.853639 | − | 0.520864i | \(-0.174390\pi\) |
−0.759161 | + | 0.650903i | \(0.774390\pi\) | |||||||
\(728\) | 0.560659 | − | 0.182169i | 0.0207794 | − | 0.00675164i | ||||
\(729\) | −0.309017 | − | 0.951057i | −0.0114451 | − | 0.0352243i | ||||
\(730\) | −13.0567 | + | 6.78504i | −0.483250 | + | 0.251125i | ||||
\(731\) | −2.60404 | − | 8.01440i | −0.0963138 | − | 0.296423i | ||||
\(732\) | −4.72994 | − | 1.53685i | −0.174824 | − | 0.0568036i | ||||
\(733\) | −7.20897 | + | 9.92230i | −0.266269 | + | 0.366488i | −0.921126 | − | 0.389265i | \(-0.872729\pi\) |
0.654856 | + | 0.755753i | \(0.272729\pi\) | |||||||
\(734\) | 1.79919 | − | 5.53733i | 0.0664092 | − | 0.204387i | ||||
\(735\) | 4.76158 | + | 9.16289i | 0.175634 | + | 0.337978i | ||||
\(736\) | 3.61803 | − | 2.62866i | 0.133363 | − | 0.0968935i | ||||
\(737\) | −2.79746 | + | 3.85038i | −0.103046 | + | 0.141830i | ||||
\(738\) | 1.90025i | 0.0699492i | ||||||||
\(739\) | 41.9260 | 1.54227 | 0.771136 | − | 0.636671i | \(-0.219689\pi\) | ||||
0.771136 | + | 0.636671i | \(0.219689\pi\) | |||||||
\(740\) | 5.81062 | − | 5.90448i | 0.213602 | − | 0.217053i | ||||
\(741\) | −0.505447 | − | 1.55561i | −0.0185681 | − | 0.0571466i | ||||
\(742\) | −8.68916 | − | 2.82328i | −0.318989 | − | 0.103646i | ||||
\(743\) | 33.8788i | 1.24289i | 0.783456 | + | 0.621447i | \(0.213455\pi\) | ||||
−0.783456 | + | 0.621447i | \(0.786545\pi\) | |||||||
\(744\) | −3.83103 | − | 4.04020i | −0.140452 | − | 0.148121i | ||||
\(745\) | −19.4048 | − | 2.91425i | −0.710938 | − | 0.106770i | ||||
\(746\) | −4.13106 | + | 12.7141i | −0.151249 | + | 0.465496i | ||||
\(747\) | 1.57743 | − | 0.512538i | 0.0577151 | − | 0.0187528i | ||||
\(748\) | 1.38061 | − | 1.90025i | 0.0504802 | − | 0.0694801i | ||||
\(749\) | −1.39230 | −0.0508737 | ||||||||
\(750\) | −10.0809 | − | 4.83488i | −0.368101 | − | 0.176545i | ||||
\(751\) | −28.7838 | − | 20.9126i | −1.05033 | − | 0.763113i | −0.0780588 | − | 0.996949i | \(-0.524872\pi\) |
−0.972276 | + | 0.233836i | \(0.924872\pi\) | |||||||
\(752\) | −5.57139 | − | 7.66836i | −0.203168 | − | 0.279636i | ||||
\(753\) | 1.12402 | + | 1.54709i | 0.0409617 | + | 0.0563790i | ||||
\(754\) | 0.502960 | − | 1.54795i | 0.0183167 | − | 0.0563731i | ||||
\(755\) | −28.7928 | − | 28.3351i | −1.04788 | − | 1.03122i | ||||
\(756\) | −0.476925 | + | 1.46782i | −0.0173456 | + | 0.0533843i | ||||
\(757\) | −38.4509 | + | 12.4935i | −1.39752 | + | 0.454082i | −0.908389 | − | 0.418127i | \(-0.862687\pi\) |
−0.489133 | + | 0.872209i | \(0.662687\pi\) | |||||||
\(758\) | −11.6274 | − | 16.0037i | −0.422326 | − | 0.581282i | ||||
\(759\) | 2.98698 | + | 9.19297i | 0.108420 | + | 0.333684i | ||||
\(760\) | −9.44514 | + | 1.57364i | −0.342611 | + | 0.0570818i | ||||
\(761\) | 13.1439 | − | 9.54963i | 0.476467 | − | 0.346174i | −0.323489 | − | 0.946232i | \(-0.604856\pi\) |
0.799956 | + | 0.600058i | \(0.204856\pi\) | |||||||
\(762\) | 0.316103 | − | 0.102708i | 0.0114512 | − | 0.00372072i | ||||
\(763\) | 20.5450 | + | 6.67547i | 0.743779 | + | 0.241668i | ||||
\(764\) | −16.7949 | − | 12.2022i | −0.607619 | − | 0.441461i | ||||
\(765\) | −2.17390 | − | 1.08581i | −0.0785977 | − | 0.0392575i | ||||
\(766\) | −0.273890 | + | 0.198993i | −0.00989606 | + | 0.00718991i | ||||
\(767\) | 0.787879 | + | 1.08442i | 0.0284487 | + | 0.0391562i | ||||
\(768\) | −0.587785 | + | 0.809017i | −0.0212099 | + | 0.0291929i | ||||
\(769\) | −11.0518 | −0.398537 | −0.199268 | − | 0.979945i | \(-0.563857\pi\) | ||||
−0.199268 | + | 0.979945i | \(0.563857\pi\) | |||||||
\(770\) | 7.37639 | + | 1.10780i | 0.265827 | + | 0.0399223i | ||||
\(771\) | −15.3480 | − | 11.1510i | −0.552746 | − | 0.401594i | ||||
\(772\) | 10.4993 | − | 3.41142i | 0.377878 | − | 0.122780i | ||||
\(773\) | 24.6045 | + | 7.99449i | 0.884963 | + | 0.287542i | 0.716016 | − | 0.698083i | \(-0.245964\pi\) |
0.168946 | + | 0.985625i | \(0.445964\pi\) | |||||||
\(774\) | −7.75435 | −0.278724 | ||||||||
\(775\) | 24.6699 | + | 12.8994i | 0.886170 | + | 0.463360i | ||||
\(776\) | −13.9288 | −0.500014 | ||||||||
\(777\) | 5.43793 | + | 1.76689i | 0.195085 | + | 0.0633869i | ||||
\(778\) | 5.14394 | − | 1.67137i | 0.184419 | − | 0.0599214i | ||||
\(779\) | −6.58321 | − | 4.78298i | −0.235868 | − | 0.171368i | ||||
\(780\) | 0.844630 | + | 0.126848i | 0.0302426 | + | 0.00454188i | ||||
\(781\) | −11.5328 | −0.412676 | ||||||||
\(782\) | −2.85662 | + | 3.93180i | −0.102153 | + | 0.140601i | ||||
\(783\) | 2.50464 | + | 3.44734i | 0.0895084 | + | 0.123198i | ||||
\(784\) | −3.73607 | + | 2.71441i | −0.133431 | + | 0.0969433i | ||||
\(785\) | −14.0581 | − | 7.02163i | −0.501754 | − | 0.250613i | ||||
\(786\) | −0.571884 | − | 0.415498i | −0.0203984 | − | 0.0148203i | ||||
\(787\) | −27.1539 | − | 8.82285i | −0.967933 | − | 0.314501i | −0.217952 | − | 0.975960i | \(-0.569938\pi\) |
−0.749981 | + | 0.661459i | \(0.769938\pi\) | |||||||
\(788\) | 3.67365 | − | 1.19364i | 0.130868 | − | 0.0425217i | ||||
\(789\) | −14.8951 | + | 10.8219i | −0.530281 | + | 0.385271i | ||||
\(790\) | −10.9531 | + | 1.82488i | −0.389694 | + | 0.0649263i | ||||
\(791\) | 1.94285 | + | 5.97948i | 0.0690798 | + | 0.212606i | ||||
\(792\) | −1.27044 | − | 1.74861i | −0.0451430 | − | 0.0621340i | ||||
\(793\) | −1.80668 | + | 0.587024i | −0.0641569 | + | 0.0208458i | ||||
\(794\) | −4.18581 | + | 12.8826i | −0.148549 | + | 0.457187i | ||||
\(795\) | −9.43464 | − | 9.28466i | −0.334612 | − | 0.329293i | ||||
\(796\) | −1.22394 | + | 3.76689i | −0.0433813 | + | 0.133514i | ||||
\(797\) | 3.38685 | + | 4.66160i | 0.119969 | + | 0.165122i | 0.864777 | − | 0.502155i | \(-0.167459\pi\) |
−0.744809 | + | 0.667278i | \(0.767459\pi\) | |||||||
\(798\) | −3.88468 | − | 5.34680i | −0.137516 | − | 0.189275i | ||||
\(799\) | 8.33339 | + | 6.05456i | 0.294814 | + | 0.214195i | ||||
\(800\) | 1.46869 | − | 4.77943i | 0.0519260 | − | 0.168978i | ||||
\(801\) | −0.422540 | −0.0149297 | ||||||||
\(802\) | −18.1997 | + | 25.0498i | −0.642655 | + | 0.884538i | ||||
\(803\) | 13.5269 | − | 4.39516i | 0.477355 | − | 0.155102i | ||||
\(804\) | −0.680446 | + | 2.09420i | −0.0239975 | + | 0.0738567i | ||||
\(805\) | −15.2625 | − | 2.29214i | −0.537931 | − | 0.0807873i | ||||
\(806\) | −2.09093 | − | 0.388372i | −0.0736500 | − | 0.0136798i | ||||
\(807\) | 29.1998i | 1.02788i | ||||||||
\(808\) | 0.738004 | + | 0.239792i | 0.0259629 | + | 0.00843586i | ||||
\(809\) | −4.93207 | − | 15.1793i | −0.173402 | − | 0.533677i | 0.826155 | − | 0.563444i | \(-0.190524\pi\) |
−0.999557 | + | 0.0297661i | \(0.990524\pi\) | |||||||
\(810\) | −1.56842 | + | 1.59376i | −0.0551087 | + | 0.0559989i | ||||
\(811\) | 45.9838 | 1.61471 | 0.807354 | − | 0.590067i | \(-0.200899\pi\) | ||||
0.807354 | + | 0.590067i | \(0.200899\pi\) | |||||||
\(812\) | − | 6.57649i | − | 0.230789i | ||||||
\(813\) | −5.90498 | + | 8.12751i | −0.207097 | + | 0.285044i | ||||
\(814\) | −6.47816 | + | 4.70666i | −0.227059 | + | 0.164968i | ||||
\(815\) | 20.1441 | + | 38.7640i | 0.705617 | + | 1.35785i | ||||
\(816\) | 0.335816 | − | 1.03354i | 0.0117559 | − | 0.0361810i | ||||
\(817\) | 19.5179 | − | 26.8641i | 0.682845 | − | 0.939855i | ||||
\(818\) | 5.67281 | + | 1.84321i | 0.198345 | + | 0.0644462i | ||||
\(819\) | 0.182169 | + | 0.560659i | 0.00636551 | + | 0.0195910i | ||||
\(820\) | 3.77039 | − | 1.95932i | 0.131668 | − | 0.0684224i | ||||
\(821\) | −4.51697 | − | 13.9018i | −0.157643 | − | 0.485176i | 0.840776 | − | 0.541383i | \(-0.182099\pi\) |
−0.998419 | + | 0.0562072i | \(0.982099\pi\) | |||||||
\(822\) | 18.0471 | − | 5.86385i | 0.629464 | − | 0.204525i | ||||
\(823\) | 7.74274 | + | 10.6570i | 0.269895 | + | 0.371478i | 0.922354 | − | 0.386345i | \(-0.126263\pi\) |
−0.652459 | + | 0.757824i | \(0.726263\pi\) | |||||||
\(824\) | −5.22783 | − | 16.0896i | −0.182120 | − | 0.560508i | ||||
\(825\) | 8.84369 | + | 6.21127i | 0.307898 | + | 0.216249i | ||||
\(826\) | 4.38169 | + | 3.18348i | 0.152458 | + | 0.110768i | ||||
\(827\) | 19.7216 | + | 6.40792i | 0.685786 | + | 0.222825i | 0.631127 | − | 0.775680i | \(-0.282593\pi\) |
0.0546590 | + | 0.998505i | \(0.482593\pi\) | |||||||
\(828\) | 2.62866 | + | 3.61803i | 0.0913521 | + | 0.125735i | ||||
\(829\) | 13.8841 | − | 10.0874i | 0.482215 | − | 0.350350i | −0.319968 | − | 0.947428i | \(-0.603672\pi\) |
0.802183 | + | 0.597079i | \(0.203672\pi\) | |||||||
\(830\) | −2.64342 | − | 2.60139i | −0.0917543 | − | 0.0902957i | ||||
\(831\) | −7.68410 | −0.266558 | ||||||||
\(832\) | 0.381966i | 0.0132423i | ||||||||
\(833\) | 2.94982 | − | 4.06007i | 0.102205 | − | 0.140673i | ||||
\(834\) | 3.32758 | + | 10.2412i | 0.115225 | + | 0.354625i | ||||
\(835\) | 9.83783 | + | 4.91374i | 0.340452 | + | 0.170047i | ||||
\(836\) | 9.25557 | 0.320111 | ||||||||
\(837\) | 4.04020 | − | 3.83103i | 0.139650 | − | 0.132420i | ||||
\(838\) | 23.2866i | 0.804421i | ||||||||
\(839\) | 8.25219 | − | 25.3976i | 0.284897 | − | 0.876823i | −0.701532 | − | 0.712638i | \(-0.747500\pi\) |
0.986429 | − | 0.164186i | \(-0.0524996\pi\) | |||||||
\(840\) | 3.40414 | − | 0.567157i | 0.117454 | − | 0.0195688i | ||||
\(841\) | 8.77189 | + | 6.37315i | 0.302479 | + | 0.219764i | ||||
\(842\) | 29.3049i | 1.00991i | ||||||||
\(843\) | − | 15.0065i | − | 0.516850i | ||||||
\(844\) | −17.1748 | − | 12.4782i | −0.591182 | − | 0.429519i | ||||
\(845\) | −25.5045 | + | 13.2537i | −0.877382 | + | 0.455940i | ||||
\(846\) | 7.66836 | − | 5.57139i | 0.263644 | − | 0.191548i | ||||
\(847\) | 9.28893 | + | 3.01816i | 0.319172 | + | 0.103705i | ||||
\(848\) | 3.47954 | − | 4.78918i | 0.119488 | − | 0.164461i | ||||
\(849\) | 1.11056 | − | 3.41796i | 0.0381144 | − | 0.117304i | ||||
\(850\) | 0.0870662 | + | 5.43292i | 0.00298634 | + | 0.186348i | ||||
\(851\) | 13.4039 | − | 9.73853i | 0.459481 | − | 0.333833i | ||||
\(852\) | −5.07466 | + | 1.64886i | −0.173855 | + | 0.0564889i | ||||
\(853\) | 42.8187 | − | 13.9126i | 1.46609 | − | 0.476360i | 0.536162 | − | 0.844115i | \(-0.319873\pi\) |
0.929923 | + | 0.367755i | \(0.119873\pi\) | |||||||
\(854\) | −6.20976 | + | 4.51165i | −0.212493 | + | 0.154386i | ||||
\(855\) | −1.57364 | − | 9.44514i | −0.0538173 | − | 0.323017i | ||||
\(856\) | 0.278772 | − | 0.857971i | 0.00952822 | − | 0.0293249i | ||||
\(857\) | 26.3941 | − | 36.3283i | 0.901604 | − | 1.24095i | −0.0683494 | − | 0.997661i | \(-0.521773\pi\) |
0.969954 | − | 0.243290i | \(-0.0782267\pi\) | |||||||
\(858\) | −0.785173 | − | 0.255118i | −0.0268054 | − | 0.00870959i | ||||
\(859\) | −32.0553 | + | 23.2896i | −1.09371 | + | 0.794630i | −0.980023 | − | 0.198887i | \(-0.936267\pi\) |
−0.113691 | + | 0.993516i | \(0.536267\pi\) | |||||||
\(860\) | 7.99539 | + | 15.3858i | 0.272641 | + | 0.524652i | ||||
\(861\) | 2.37267 | + | 1.72384i | 0.0808602 | + | 0.0587484i | ||||
\(862\) | − | 15.8051i | − | 0.538324i | ||||||
\(863\) | − | 12.1695i | − | 0.414256i | −0.978314 | − | 0.207128i | \(-0.933588\pi\) | ||
0.978314 | − | 0.207128i | \(-0.0664116\pi\) | |||||||
\(864\) | −0.809017 | − | 0.587785i | −0.0275233 | − | 0.0199969i | ||||
\(865\) | −9.34549 | + | 1.55704i | −0.317756 | + | 0.0529408i | ||||
\(866\) | 6.63602 | − | 20.4236i | 0.225501 | − | 0.694021i | ||||
\(867\) | − | 15.8190i | − | 0.537242i | ||||||
\(868\) | −8.52000 | + | 1.11831i | −0.289187 | + | 0.0379580i | ||||
\(869\) | 10.7333 | 0.364102 | ||||||||
\(870\) | 4.25756 | − | 8.52408i | 0.144345 | − | 0.288993i | ||||
\(871\) | 0.259907 | + | 0.799912i | 0.00880662 | + | 0.0271040i | ||||
\(872\) | −8.22717 | + | 11.3237i | −0.278607 | + | 0.383470i | ||||
\(873\) | − | 13.9288i | − | 0.471418i | ||||||
\(874\) | −19.1507 | −0.647781 | ||||||||
\(875\) | −15.1819 | + | 8.20100i | −0.513241 | + | 0.277244i | ||||
\(876\) | 5.32373 | − | 3.86791i | 0.179872 | − | 0.130685i | ||||
\(877\) | 10.1133 | + | 13.9198i | 0.341502 | + | 0.470037i | 0.944879 | − | 0.327419i | \(-0.106179\pi\) |
−0.603378 | + | 0.797456i | \(0.706179\pi\) | |||||||
\(878\) | −30.5337 | − | 9.92099i | −1.03046 | − | 0.334817i | ||||
\(879\) | 3.58951 | + | 2.60793i | 0.121071 | + | 0.0879634i | ||||
\(880\) | −2.15958 | + | 4.32370i | −0.0727993 | + | 0.145752i | ||||
\(881\) | 2.53060 | + | 7.78839i | 0.0852582 | + | 0.262398i | 0.984593 | − | 0.174864i | \(-0.0559485\pi\) |
−0.899334 | + | 0.437261i | \(0.855948\pi\) | |||||||
\(882\) | −2.71441 | − | 3.73607i | −0.0913990 | − | 0.125800i | ||||
\(883\) | −9.26933 | + | 3.01179i | −0.311938 | + | 0.101355i | −0.460802 | − | 0.887503i | \(-0.652438\pi\) |
0.148864 | + | 0.988858i | \(0.452438\pi\) | |||||||
\(884\) | −0.128270 | − | 0.394776i | −0.00431420 | − | 0.0132777i | ||||
\(885\) | 3.61835 | + | 6.96292i | 0.121629 | + | 0.234056i | ||||
\(886\) | 2.26547 | + | 6.97240i | 0.0761099 | + | 0.234242i | ||||
\(887\) | 16.5248 | + | 5.36922i | 0.554847 | + | 0.180281i | 0.573001 | − | 0.819554i | \(-0.305779\pi\) |
−0.0181542 | + | 0.999835i | \(0.505779\pi\) | |||||||
\(888\) | −2.17760 | + | 2.99721i | −0.0730755 | + | 0.100580i | ||||
\(889\) | 0.158516 | − | 0.487861i | 0.00531644 | − | 0.0163623i | ||||
\(890\) | 0.435674 | + | 0.838384i | 0.0146038 | + | 0.0281027i | ||||
\(891\) | 1.74861 | − | 1.27044i | 0.0585805 | − | 0.0425612i | ||||
\(892\) | 9.09550 | − | 12.5189i | 0.304540 | − | 0.419163i | ||||
\(893\) | 40.5895i | 1.35828i | ||||||||
\(894\) | 8.77543 | 0.293494 | ||||||||
\(895\) | −5.04004 | − | 4.95992i | −0.168470 | − | 0.165792i | ||||
\(896\) | 0.476925 | + | 1.46782i | 0.0159329 | + | 0.0490366i | ||||
\(897\) | 1.62460 | + | 0.527864i | 0.0542438 | + | 0.0176249i | ||||
\(898\) | − | 14.3348i | − | 0.478360i | ||||||
\(899\) | −11.3287 | + | 20.8456i | −0.377834 | + | 0.695239i | ||||
\(900\) | 4.77943 | + | 1.46869i | 0.159314 | + | 0.0489563i | ||||
\(901\) | −1.98795 | + | 6.11828i | −0.0662282 | + | 0.203829i | ||||
\(902\) | −3.90618 | + | 1.26919i | −0.130061 | + | 0.0422595i | ||||
\(903\) | −7.03448 | + | 9.68213i | −0.234093 | + | 0.322201i | ||||
\(904\) | −4.07370 | −0.135489 | ||||||||
\(905\) | −45.7765 | − | 6.87479i | −1.52166 | − | 0.228526i | ||||
\(906\) | 14.6157 | + | 10.6189i | 0.485574 | + | 0.352790i | ||||
\(907\) | −15.7307 | − | 21.6514i | −0.522329 | − | 0.718925i | 0.463608 | − | 0.886040i | \(-0.346555\pi\) |
−0.985937 | + | 0.167116i | \(0.946555\pi\) | |||||||
\(908\) | 0.868904 | + | 1.19594i | 0.0288356 | + | 0.0396888i | ||||
\(909\) | −0.239792 | + | 0.738004i | −0.00795340 | + | 0.0244781i | ||||
\(910\) | 0.924602 | − | 0.939538i | 0.0306503 | − | 0.0311454i | ||||
\(911\) | −5.50126 | + | 16.9311i | −0.182265 | + | 0.560954i | −0.999891 | − | 0.0147966i | \(-0.995290\pi\) |
0.817626 | + | 0.575750i | \(0.195290\pi\) | |||||||
\(912\) | 4.07263 | − | 1.32328i | 0.134858 | − | 0.0438181i | ||||
\(913\) | 2.10716 | + | 2.90025i | 0.0697367 | + | 0.0959843i | ||||
\(914\) | 8.74630 | + | 26.9184i | 0.289302 | + | 0.890380i | ||||
\(915\) | −10.9695 | + | 1.82762i | −0.362642 | + | 0.0604191i | ||||
\(916\) | −10.9579 | + | 7.96136i | −0.362058 | + | 0.263051i | ||||
\(917\) | −1.03759 | + | 0.337132i | −0.0342641 | + | 0.0111331i | ||||
\(918\) | 1.03354 | + | 0.335816i | 0.0341118 | + | 0.0110836i | ||||
\(919\) | −23.7431 | − | 17.2504i | −0.783212 | − | 0.569037i | 0.122729 | − | 0.992440i | \(-0.460835\pi\) |
−0.905941 | + | 0.423404i | \(0.860835\pi\) | |||||||
\(920\) | 4.46837 | − | 8.94615i | 0.147318 | − | 0.294946i | ||||
\(921\) | −19.4961 | + | 14.1648i | −0.642419 | + | 0.466745i | ||||
\(922\) | 3.00824 | + | 4.14049i | 0.0990713 | + | 0.136360i | ||||
\(923\) | −1.19797 | + | 1.64886i | −0.0394315 | + | 0.0542728i | ||||
\(924\) | −3.33582 | −0.109740 | ||||||||
\(925\) | 5.44114 | − | 17.7066i | 0.178904 | − | 0.582190i | ||||
\(926\) | −24.5028 | − | 17.8023i | −0.805213 | − | 0.585021i | ||||
\(927\) | 16.0896 | − | 5.22783i | 0.528452 | − | 0.171705i | ||||
\(928\) | 4.05259 | + | 1.31677i | 0.133033 | + | 0.0432250i | ||||
\(929\) | 8.79320 | 0.288495 | 0.144248 | − | 0.989542i | \(-0.453924\pi\) | ||||
0.144248 | + | 0.989542i | \(0.453924\pi\) | |||||||
\(930\) | −11.7671 | − | 4.06627i | −0.385860 | − | 0.133338i | ||||
\(931\) | 19.7754 | 0.648113 | ||||||||
\(932\) | −14.9173 | − | 4.84693i | −0.488633 | − | 0.158767i | ||||
\(933\) | 31.1324 | − | 10.1155i | 1.01923 | − | 0.331167i | ||||
\(934\) | −1.67348 | − | 1.21586i | −0.0547581 | − | 0.0397841i | ||||
\(935\) | 0.780031 | − | 5.19392i | 0.0255097 | − | 0.169859i | ||||
\(936\) | −0.381966 | −0.0124849 | ||||||||
\(937\) | −3.17240 | + | 4.36643i | −0.103638 | + | 0.142645i | −0.857686 | − | 0.514174i | \(-0.828099\pi\) |
0.754048 | + | 0.656819i | \(0.228099\pi\) | |||||||
\(938\) | 1.99755 | + | 2.74939i | 0.0652223 | + | 0.0897709i | ||||
\(939\) | 10.0656 | − | 7.31310i | 0.328479 | − | 0.238654i | ||||
\(940\) | −18.9612 | − | 9.47063i | −0.618447 | − | 0.308898i | ||||
\(941\) | 47.5574 | + | 34.5524i | 1.55033 | + | 1.12638i | 0.943419 | + | 0.331604i | \(0.107590\pi\) |
0.606907 | + | 0.794773i | \(0.292410\pi\) | |||||||
\(942\) | 6.68360 | + | 2.17163i | 0.217763 | + | 0.0707556i | ||||
\(943\) | 8.08225 | − | 2.62608i | 0.263194 | − | 0.0855170i | ||||
\(944\) | −2.83905 | + | 2.06269i | −0.0924033 | + | 0.0671350i | ||||
\(945\) | 0.567157 | + | 3.40414i | 0.0184496 | + | 0.110737i | ||||
\(946\) | −5.17920 | − | 15.9399i | −0.168390 | − | 0.518252i | ||||
\(947\) | −4.66622 | − | 6.42251i | −0.151632 | − | 0.208703i | 0.726443 | − | 0.687227i | \(-0.241172\pi\) |
−0.878075 | + | 0.478523i | \(0.841172\pi\) | |||||||
\(948\) | 4.72285 | − | 1.53455i | 0.153391 | − | 0.0498398i | ||||
\(949\) | 0.776721 | − | 2.39050i | 0.0252134 | − | 0.0775990i | ||||
\(950\) | −17.1181 | + | 12.8611i | −0.555383 | + | 0.417268i | ||||
\(951\) | 0.149516 | − | 0.460163i | 0.00484839 | − | 0.0149218i | ||||
\(952\) | −0.985838 | − | 1.35689i | −0.0319512 | − | 0.0439771i | ||||
\(953\) | 29.4647 | + | 40.5546i | 0.954454 | + | 1.31369i | 0.949520 | + | 0.313706i | \(0.101571\pi\) |
0.00493387 | + | 0.999988i | \(0.498429\pi\) | |||||||
\(954\) | 4.78918 | + | 3.47954i | 0.155055 | + | 0.112654i | ||||
\(955\) | −45.9052 | − | 6.89412i | −1.48546 | − | 0.223088i | ||||
\(956\) | 7.78935 | 0.251926 | ||||||||
\(957\) | −5.41351 | + | 7.45106i | −0.174994 | + | 0.240859i | ||||
\(958\) | 28.6384 | − | 9.30516i | 0.925263 | − | 0.300636i | ||||
\(959\) | 9.05005 | − | 27.8532i | 0.292241 | − | 0.899426i | ||||
\(960\) | −0.332092 | + | 2.21127i | −0.0107182 | + | 0.0713684i | ||||
\(961\) | 28.9324 | + | 11.1319i | 0.933302 | + | 0.359093i | ||||
\(962\) | 1.41509i | 0.0456244i | ||||||||
\(963\) | 0.857971 | + | 0.278772i | 0.0276477 | + | 0.00898329i | ||||
\(964\) | −4.07123 | − | 12.5299i | −0.131125 | − | 0.403562i | ||||
\(965\) | 17.3147 | − | 17.5944i | 0.557381 | − | 0.566385i | ||||
\(966\) | 6.90212 | 0.222072 | ||||||||
\(967\) | 43.3024i | 1.39251i | 0.717794 | + | 0.696256i | \(0.245152\pi\) | ||||
−0.717794 | + | 0.696256i | \(0.754848\pi\) | |||||||
\(968\) | −3.71972 | + | 5.11976i | −0.119556 | + | 0.164555i | ||||
\(969\) | −3.76483 | + | 2.73531i | −0.120944 | + | 0.0878708i | ||||
\(970\) | −27.6368 | + | 14.3617i | −0.887365 | + | 0.461127i | ||||
\(971\) | 6.81223 | − | 20.9659i | 0.218615 | − | 0.672828i | −0.780262 | − | 0.625453i | \(-0.784914\pi\) |
0.998877 | − | 0.0473751i | \(-0.0150856\pi\) | |||||||
\(972\) | 0.587785 | − | 0.809017i | 0.0188532 | − | 0.0259492i | ||||
\(973\) | 15.8059 | + | 5.13566i | 0.506715 | + | 0.164642i | ||||
\(974\) | −13.1532 | − | 40.4813i | −0.421454 | − | 1.29710i | ||||
\(975\) | 1.80667 | − | 0.619199i | 0.0578596 | − | 0.0198302i | ||||
\(976\) | −1.53685 | − | 4.72994i | −0.0491934 | − | 0.151402i | ||||
\(977\) | −9.52121 | + | 3.09363i | −0.304611 | + | 0.0989740i | −0.457334 | − | 0.889295i | \(-0.651196\pi\) |
0.152723 | + | 0.988269i | \(0.451196\pi\) | |||||||
\(978\) | −11.4835 | − | 15.8056i | −0.367200 | − | 0.505408i | ||||
\(979\) | −0.282218 | − | 0.868577i | −0.00901972 | − | 0.0277598i | ||||
\(980\) | −4.61415 | + | 9.23801i | −0.147394 | + | 0.295097i | ||||
\(981\) | −11.3237 | − | 8.22717i | −0.361539 | − | 0.262673i | ||||
\(982\) | −8.64940 | − | 2.81036i | −0.276013 | − | 0.0896822i | ||||
\(983\) | 0.266884 | + | 0.367334i | 0.00851228 | + | 0.0117161i | 0.813252 | − | 0.581912i | \(-0.197695\pi\) |
−0.804740 | + | 0.593628i | \(0.797695\pi\) | |||||||
\(984\) | −1.53734 | + | 1.11694i | −0.0490085 | + | 0.0356067i | ||||
\(985\) | 6.05835 | − | 6.15621i | 0.193035 | − | 0.196153i | ||||
\(986\) | −4.63069 | −0.147471 | ||||||||
\(987\) | − | 14.6289i | − | 0.465644i | ||||||
\(988\) | 0.961418 | − | 1.32328i | 0.0305868 | − | 0.0420991i | ||||
\(989\) | 10.7163 | + | 32.9812i | 0.340757 | + | 1.04874i | ||||
\(990\) | −4.32370 | − | 2.15958i | −0.137416 | − | 0.0686358i | ||||
\(991\) | 41.3457 | 1.31339 | 0.656695 | − | 0.754156i | \(-0.271954\pi\) | ||||
0.656695 | + | 0.754156i | \(0.271954\pi\) | |||||||
\(992\) | 1.01677 | − | 5.47414i | 0.0322825 | − | 0.173804i | ||||
\(993\) | 29.1456i | 0.924907i | ||||||||
\(994\) | −2.54478 | + | 7.83204i | −0.0807157 | + | 0.248417i | ||||
\(995\) | 1.45550 | + | 8.73607i | 0.0461425 | + | 0.276952i | ||||
\(996\) | 1.34184 | + | 0.974905i | 0.0425179 | + | 0.0308911i | ||||
\(997\) | 4.24883i | 0.134562i | 0.997734 | + | 0.0672810i | \(0.0214324\pi\) | ||||
−0.997734 | + | 0.0672810i | \(0.978568\pi\) | |||||||
\(998\) | − | 12.0845i | − | 0.382529i | ||||||
\(999\) | −2.99721 | − | 2.17760i | −0.0948276 | − | 0.0688963i |
(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 | 930.2.z.b.349.2 | ✓ | 16 | |
5.4 | even | 2 | inner | 930.2.z.b.349.4 | yes | 16 | |
31.4 | even | 5 | inner | 930.2.z.b.469.4 | yes | 16 | |
155.4 | even | 10 | inner | 930.2.z.b.469.2 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.z.b.349.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
930.2.z.b.349.4 | yes | 16 | 5.4 | even | 2 | inner | |
930.2.z.b.469.2 | yes | 16 | 155.4 | even | 10 | inner | |
930.2.z.b.469.4 | yes | 16 | 31.4 | even | 5 | inner |