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: | \( x^{16} - 6 x^{15} + 18 x^{14} - 44 x^{13} + 63 x^{12} - 46 x^{11} + 110 x^{10} - 120 x^{9} - 79 x^{8} + 120 x^{7} + 110 x^{6} + 46 x^{5} + 63 x^{4} + 44 x^{3} + 18 x^{2} + 6 x + 1 \) |
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 | 349.4 | ||
Root | \(-0.582991 + 0.297049i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.349 |
Dual form | 930.2.z.b.469.4 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 | −0.602402 | − | 0.798192i | \(-0.705790\pi\) |
0.945279 | + | 0.326264i | \(0.105790\pi\) | |||||||
\(8\) | 0.587785 | + | 0.809017i | 0.207813 | + | 0.286031i | ||||
\(9\) | 0.809017 | − | 0.587785i | 0.269672 | − | 0.195928i | ||||
\(10\) | 2.20566 | + | 0.367482i | 0.697492 | + | 0.116208i | ||||
\(11\) | 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 | −0.358960 | − | 0.933353i | \(-0.616869\pi\) |
0.258207 | + | 0.966090i | \(0.416869\pi\) | |||||||
\(14\) | 1.24861 | − | 0.907165i | 0.333704 | − | 0.242450i | ||||
\(15\) | −2.00042 | + | 0.999158i | −0.516506 | + | 0.257982i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 0.638760 | + | 0.879178i | 0.154922 | + | 0.213232i | 0.879422 | − | 0.476043i | \(-0.157929\pi\) |
−0.724500 | + | 0.689275i | \(0.757929\pi\) | |||||||
\(18\) | 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 | \(-0.0634431\pi\) | |||||||
\(20\) | 1.98415 | + | 1.03108i | 0.443670 | + | 0.230557i | ||||
\(21\) | −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 | 0.441642 | − | 0.897191i | \(-0.354396\pi\) |
−0.989755 | + | 0.142779i | \(0.954396\pi\) | |||||||
\(24\) | −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 | ||||
\(35\) | 1.59134 | − | 3.06227i | 0.268985 | − | 0.517618i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | 3.70476i | 0.609058i | 0.952503 | + | 0.304529i | \(0.0984991\pi\) | ||||
−0.952503 | + | 0.304529i | \(0.901501\pi\) | |||||||
\(38\) | 2.51702 | − | 3.46439i | 0.408315 | − | 0.561998i | ||||
\(39\) | 0.309017 | − | 0.224514i | 0.0494823 | − | 0.0359510i | ||||
\(40\) | 1.56842 | + | 1.59376i | 0.247989 | + | 0.251995i | ||||
\(41\) | 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 | −0.313110 | − | 0.949717i | \(-0.601371\pi\) |
−0.811541 | + | 0.584296i | \(0.801371\pi\) | |||||||
\(44\) | 0.667908 | + | 2.05561i | 0.100691 | + | 0.309895i | ||||
\(45\) | 1.59376 | − | 1.56842i | 0.237583 | − | 0.233806i | ||||
\(46\) | −1.38197 | − | 4.25325i | −0.203760 | − | 0.627108i | ||||
\(47\) | 9.01470 | − | 2.92905i | 1.31493 | − | 0.427246i | 0.434178 | − | 0.900827i | \(-0.357039\pi\) |
0.880750 | + | 0.473581i | \(0.157039\pi\) | |||||||
\(48\) | −0.587785 | − | 0.809017i | −0.0848395 | − | 0.116772i | ||||
\(49\) | 1.42705 | + | 4.39201i | 0.203864 | + | 0.627430i | ||||
\(50\) | 4.99936 | + | 0.0801180i | 0.707016 | + | 0.0113304i | ||||
\(51\) | −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 | 0.978110 | − | 0.208090i | \(-0.0667246\pi\) |
−0.500158 | + | 0.865934i | \(0.666725\pi\) | |||||||
\(54\) | −0.809017 | + | 0.587785i | −0.110093 | + | 0.0799874i | ||||
\(55\) | 4.28854 | + | 2.22858i | 0.578267 | + | 0.300502i | ||||
\(56\) | 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 | \(0.826640\pi\) | |||||||
\(60\) | −2.20566 | − | 0.367482i | −0.284750 | − | 0.0474417i | ||||
\(61\) | −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 | ||||
\(65\) | −0.764093 | + | 0.381644i | −0.0947740 | + | 0.0473372i | ||||
\(66\) | −1.74861 | − | 1.27044i | −0.215239 | − | 0.156380i | ||||
\(67\) | − | 2.20197i | − | 0.269013i | −0.990913 | − | 0.134507i | \(-0.957055\pi\) | ||
0.990913 | − | 0.134507i | \(-0.0429450\pi\) | |||||||
\(68\) | 1.08672i | 0.131785i | ||||||||
\(69\) | 3.61803 | + | 2.62866i | 0.435560 | + | 0.316453i | ||||
\(70\) | 2.45974 | − | 2.42064i | 0.293995 | − | 0.289322i | ||||
\(71\) | −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 | −0.972976 | − | 0.230906i | \(-0.925831\pi\) |
0.520271 | + | 0.854001i | \(0.325831\pi\) | |||||||
\(74\) | −1.14483 | + | 3.52343i | −0.133084 | + | 0.409591i | ||||
\(75\) | −4.09166 | + | 2.87373i | −0.472464 | + | 0.331830i | ||||
\(76\) | 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 | \(0.209880\pi\) | |||||||
\(80\) | 0.999158 | + | 2.00042i | 0.111709 | + | 0.223654i | ||||
\(81\) | 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 | 0.221161 | − | 0.975237i | \(-0.429015\pi\) |
−0.394307 | + | 0.918979i | \(0.629015\pi\) | |||||||
\(84\) | −1.24861 | + | 0.907165i | −0.136234 | + | 0.0989799i | ||||
\(85\) | 1.70444 | + | 1.73197i | 0.184872 | + | 0.187859i | ||||
\(86\) | −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 | \(0.707129\pi\) | |||||||
\(90\) | 2.00042 | − | 0.999158i | 0.210863 | − | 0.105321i | ||||
\(91\) | −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 | ||||||||
\(95\) | 1.57364 | − | 9.44514i | 0.161452 | − | 0.969051i | ||||
\(96\) | −0.309017 | − | 0.951057i | −0.0315389 | − | 0.0970668i | ||||
\(97\) | −8.18713 | + | 11.2686i | −0.831277 | + | 1.14415i | 0.156407 | + | 0.987693i | \(0.450009\pi\) |
−0.987684 | + | 0.156462i | \(0.949991\pi\) | |||||||
\(98\) | 4.61803i | 0.466492i | ||||||||
\(99\) | 2.16140 | 0.217228 | ||||||||
\(100\) | 4.72991 | + | 1.62108i | 0.472991 | + | 0.162108i | ||||
\(101\) | −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 | −0.621927 | − | 0.783075i | \(-0.713650\pi\) |
−0.963430 | + | 0.267961i | \(0.913650\pi\) | |||||||
\(104\) | −0.309017 | − | 0.224514i | −0.0303016 | − | 0.0220154i | ||||
\(105\) | −0.567157 | + | 3.40414i | −0.0553489 | + | 0.332210i | ||||
\(106\) | 1.82930 | + | 5.63002i | 0.177678 | + | 0.546836i | ||||
\(107\) | −0.530255 | − | 0.729834i | −0.0512617 | − | 0.0705557i | 0.782617 | − | 0.622504i | \(-0.213885\pi\) |
−0.833878 | + | 0.551948i | \(0.813885\pi\) | |||||||
\(108\) | −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 | \(-0.333847\pi\) | |||||||
\(110\) | 3.38998 | + | 3.44474i | 0.323222 | + | 0.328443i | ||||
\(111\) | −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 | −0.906653 | − | 0.421878i | \(-0.861371\pi\) |
0.681401 | + | 0.731911i | \(0.261371\pi\) | |||||||
\(114\) | −1.32328 | + | 4.07263i | −0.123936 | + | 0.381437i | ||||
\(115\) | −7.01419 | − | 7.12749i | −0.654076 | − | 0.664642i | ||||
\(116\) | −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 | ||||||||
\(120\) | −1.98415 | − | 1.03108i | −0.181128 | − | 0.0941246i | ||||
\(121\) | −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 | −0.294959 | − | 0.955510i | \(-0.595306\pi\) |
0.323008 | + | 0.946396i | \(0.395306\pi\) | |||||||
\(128\) | −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 | ||||
\(135\) | −1.03108 | + | 1.98415i | −0.0887416 | + | 0.170769i | ||||
\(136\) | −0.335816 | + | 1.03354i | −0.0287960 | + | 0.0886250i | ||||
\(137\) | 18.0471 | − | 5.86385i | 1.54187 | − | 0.500983i | 0.589976 | − | 0.807421i | \(-0.299137\pi\) |
0.951891 | + | 0.306438i | \(0.0991373\pi\) | |||||||
\(138\) | 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 | \(-0.250960\pi\) | |||||||
\(140\) | 3.08737 | − | 1.54206i | 0.260931 | − | 0.130328i | ||||
\(141\) | −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 | ||||
\(145\) | −1.56589 | + | 9.39866i | −0.130040 | + | 0.780516i | ||||
\(146\) | −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 | ||||||||
\(155\) | 12.4425 | + | 0.430438i | 0.999402 | + | 0.0345736i | ||||
\(156\) | 0.381966 | 0.0305818 | ||||||||
\(157\) | 6.68360 | + | 2.17163i | 0.533409 | + | 0.173315i | 0.563322 | − | 0.826237i | \(-0.309523\pi\) |
−0.0299130 | + | 0.999553i | \(0.509523\pi\) | |||||||
\(158\) | 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 | \(-0.922679\pi\) |
0.0711888 | − | 0.997463i | \(-0.477321\pi\) | |||||||
\(164\) | 1.53734 | − | 1.11694i | 0.120046 | − | 0.0872184i | ||||
\(165\) | −4.76731 | − | 0.794274i | −0.371135 | − | 0.0618341i | ||||
\(166\) | −1.34184 | − | 0.974905i | −0.104147 | − | 0.0756673i | ||||
\(167\) | −4.67718 | − | 1.51971i | −0.361931 | − | 0.117599i | 0.122406 | − | 0.992480i | \(-0.460939\pi\) |
−0.484337 | + | 0.874882i | \(0.660939\pi\) | |||||||
\(168\) | −1.46782 | + | 0.476925i | −0.113245 | + | 0.0367956i | ||||
\(169\) | −10.3992 | + | 7.55545i | −0.799937 | + | 0.581189i | ||||
\(170\) | 1.08581 | + | 2.17390i | 0.0832778 | + | 0.166731i | ||||
\(171\) | −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 | −0.151797 | − | 0.988412i | \(-0.548506\pi\) |
0.458167 | + | 0.888866i | \(0.348506\pi\) | |||||||
\(174\) | 1.31677 | − | 4.05259i | 0.0998238 | − | 0.307226i | ||||
\(175\) | 2.50192 | − | 7.29997i | 0.189127 | − | 0.551826i | ||||
\(176\) | −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 | ||||
\(190\) | 4.41533 | − | 8.49658i | 0.320321 | − | 0.616407i | ||||
\(191\) | −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 | −0.975959 | − | 0.217956i | \(-0.930061\pi\) |
0.508876 | + | 0.860840i | \(0.330061\pi\) | |||||||
\(194\) | −11.2686 | + | 8.18713i | −0.809039 | + | 0.587802i | ||||
\(195\) | 0.608761 | − | 0.599083i | 0.0435943 | − | 0.0429012i | ||||
\(196\) | −1.42705 | + | 4.39201i | −0.101932 | + | 0.313715i | ||||
\(197\) | −2.27044 | + | 3.12500i | −0.161762 | + | 0.222647i | −0.882202 | − | 0.470871i | \(-0.843940\pi\) |
0.720440 | + | 0.693517i | \(0.243940\pi\) | |||||||
\(198\) | 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 | \(0.855166\pi\) | |||||||
\(200\) | 3.99747 | + | 3.00337i | 0.282664 | + | 0.212370i | ||||
\(201\) | 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 | ||||
\(205\) | 0.698308 | − | 4.19132i | 0.0487719 | − | 0.292734i | ||||
\(206\) | −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 | ||||
\(210\) | −1.59134 | + | 3.06227i | −0.109813 | + | 0.211317i | ||||
\(211\) | −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 | ||||
\(215\) | −17.1035 | − | 2.84958i | −1.16645 | − | 0.194340i | ||||
\(216\) | −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 | ||||
\(220\) | 2.15958 | + | 4.32370i | 0.145599 | + | 0.291504i | ||||
\(221\) | −0.335816 | − | 0.243985i | −0.0225894 | − | 0.0164122i | ||||
\(222\) | − | 3.70476i | − | 0.248647i | ||||||
\(223\) | 15.4742i | 1.03623i | 0.855311 | + | 0.518114i | \(0.173366\pi\) | ||||
−0.855311 | + | 0.518114i | \(0.826634\pi\) | |||||||
\(224\) | 1.24861 | + | 0.907165i | 0.0834260 | + | 0.0606125i | ||||
\(225\) | 3.00337 | − | 3.99747i | 0.200224 | − | 0.266498i | ||||
\(226\) | −3.29569 | + | 2.39446i | −0.219226 | + | 0.159277i | ||||
\(227\) | −1.40592 | − | 0.456810i | −0.0933140 | − | 0.0303195i | 0.261988 | − | 0.965071i | \(-0.415622\pi\) |
−0.355302 | + | 0.934752i | \(0.615622\pi\) | |||||||
\(228\) | −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 | \(0.952304\pi\) | |||||||
\(230\) | −4.46837 | − | 8.94615i | −0.294636 | − | 0.589892i | ||||
\(231\) | −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 | 0.223521 | − | 0.974699i | \(-0.428245\pi\) |
0.753746 | + | 0.657166i | \(0.228245\pi\) | |||||||
\(234\) | −0.309017 | + | 0.224514i | −0.0202011 | + | 0.0146769i | ||||
\(235\) | 18.9612 | − | 9.47063i | 1.23689 | − | 0.617796i | ||||
\(236\) | −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 | \(0.218936\pi\) | |||||||
\(240\) | −1.56842 | − | 1.59376i | −0.101241 | − | 0.102877i | ||||
\(241\) | −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 | ||||
\(245\) | 4.61415 | + | 9.23801i | 0.294787 | + | 0.590195i | ||||
\(246\) | −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 | ||||||||
\(250\) | 11.0815 | − | 1.48308i | 0.700858 | − | 0.0937985i | ||||
\(251\) | 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 | ||||||||
\(255\) | −2.15623 | − | 1.12050i | −0.135028 | − | 0.0701686i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 11.1510 | + | 15.3480i | 0.695580 | + | 0.957384i | 0.999988 | + | 0.00484260i | \(0.00154146\pi\) |
−0.304408 | + | 0.952542i | \(0.598459\pi\) | |||||||
\(258\) | 7.37483 | + | 2.39623i | 0.459137 | + | 0.149183i | ||||
\(259\) | 4.62578 | + | 3.36083i | 0.287432 | + | 0.208832i | ||||
\(260\) | −0.842489 | − | 0.140366i | −0.0522489 | − | 0.00870510i | ||||
\(261\) | 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 | 0.285460 | − | 0.958391i | \(-0.407854\pi\) |
0.794270 | + | 0.607565i | \(0.207854\pi\) | |||||||
\(264\) | −0.667908 | − | 2.05561i | −0.0411069 | − | 0.126514i | ||||
\(265\) | 9.28466 | + | 9.43464i | 0.570352 | + | 0.579565i | ||||
\(266\) | −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 | \(0.750585\pi\) | |||||||
\(270\) | −1.59376 | + | 1.56842i | −0.0969929 | + | 0.0954510i | ||||
\(271\) | −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 | ||||||||
\(275\) | 10.2232 | + | 3.50380i | 0.616483 | + | 0.211287i | ||||
\(276\) | 1.38197 | + | 4.25325i | 0.0831846 | + | 0.256016i | ||||
\(277\) | 7.30801 | + | 2.37452i | 0.439096 | + | 0.142671i | 0.520219 | − | 0.854033i | \(-0.325851\pi\) |
−0.0811225 | + | 0.996704i | \(0.525851\pi\) | |||||||
\(278\) | − | 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 | −0.867173 | − | 0.498006i | \(-0.834066\pi\) |
0.741603 | + | 0.670839i | \(0.234066\pi\) | |||||||
\(284\) | −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 | ||||
\(290\) | −4.39360 | + | 8.45476i | −0.258001 | + | 0.496481i | ||||
\(291\) | 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 | 0.726015 | − | 0.687679i | \(-0.241370\pi\) |
−0.878372 | + | 0.477977i | \(0.841370\pi\) | |||||||
\(294\) | −1.42705 | − | 4.39201i | −0.0832273 | − | 0.256147i | ||||
\(295\) | 3.50631 | + | 7.02000i | 0.204145 | + | 0.408720i | ||||
\(296\) | −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 | ||||
\(300\) | −4.99936 | − | 0.0801180i | −0.288638 | − | 0.00462562i | ||||
\(301\) | −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 | 0.429681 | − | 0.902981i | \(-0.358626\pi\) |
0.878378 | + | 0.477966i | \(0.158626\pi\) | |||||||
\(308\) | 3.17255 | + | 1.03082i | 0.180773 | + | 0.0587366i | ||||
\(309\) | 16.9176 | 0.962410 | ||||||||
\(310\) | 11.7005 | + | 4.25430i | 0.664542 | + | 0.241628i | ||||
\(311\) | 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 | −0.623699 | − | 0.781664i | \(-0.714371\pi\) |
−0.0451324 | + | 0.998981i | \(0.514371\pi\) | |||||||
\(314\) | 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 | −0.816929 | − | 0.576738i | \(-0.804325\pi\) |
0.800956 | + | 0.598724i | \(0.204325\pi\) | |||||||
\(318\) | −3.47954 | − | 4.78918i | −0.195123 | − | 0.268564i | ||||
\(319\) | −7.45106 | + | 5.41351i | −0.417179 | + | 0.303099i | ||||
\(320\) | −0.367482 | + | 2.20566i | −0.0205429 | + | 0.123300i | ||||
\(321\) | 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 | ||||
\(325\) | −1.56287 | + | 1.09767i | −0.0866927 | + | 0.0608877i | ||||
\(326\) | −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 | ||||
\(330\) | −4.28854 | − | 2.22858i | −0.236076 | − | 0.122679i | ||||
\(331\) | −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 | −0.457387 | − | 0.889268i | \(-0.651215\pi\) |
0.987084 | + | 0.160202i | \(0.0512147\pi\) | |||||||
\(338\) | −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 | ||||
\(345\) | 8.87341 | + | 4.61115i | 0.477728 | + | 0.248256i | ||||
\(346\) | 4.23704 | 0.227785 | ||||||||
\(347\) | 16.8460i | 0.904340i | 0.891932 | + | 0.452170i | \(0.149350\pi\) | ||||
−0.891932 | + | 0.452170i | \(0.850650\pi\) | |||||||
\(348\) | 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 | \(0.313480\pi\) | |||||||
\(350\) | 4.63528 | − | 6.16955i | 0.247766 | − | 0.329776i | ||||
\(351\) | 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 | 0.409145 | − | 0.912469i | \(-0.365827\pi\) |
−0.205331 | + | 0.978693i | \(0.565827\pi\) | |||||||
\(354\) | −1.08442 | − | 3.33751i | −0.0576364 | − | 0.177387i | ||||
\(355\) | −8.50399 | + | 8.36880i | −0.451345 | + | 0.444170i | ||||
\(356\) | −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 | \(0.991982\pi\) | |||||||
\(360\) | 2.20566 | + | 0.367482i | 0.116249 | + | 0.0193680i | ||||
\(361\) | 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 | ||||
\(365\) | −6.78504 | + | 13.0567i | −0.355145 | + | 0.683419i | ||||
\(366\) | 4.97335 | 0.259961 | ||||||||
\(367\) | − | 5.82229i | − | 0.303921i | −0.988387 | − | 0.151961i | \(-0.951441\pi\) | ||
0.988387 | − | 0.151961i | \(-0.0485587\pi\) | |||||||
\(368\) | 2.62866 | − | 3.61803i | 0.137028 | − | 0.188603i | ||||
\(369\) | −0.587210 | − | 1.80725i | −0.0305689 | − | 0.0940815i | ||||
\(370\) | −1.36143 | + | 8.17145i | −0.0707774 | + | 0.424814i | ||||
\(371\) | 9.13632 | 0.474334 | ||||||||
\(372\) | −4.89201 | − | 2.65861i | −0.253639 | − | 0.137842i | ||||
\(373\) | 13.3684i | 0.692189i | 0.938200 | + | 0.346094i | \(0.112492\pi\) | ||||
−0.938200 | + | 0.346094i | \(0.887508\pi\) | |||||||
\(374\) | −0.725832 | + | 2.23388i | −0.0375319 | + | 0.115511i | ||||
\(375\) | −8.09342 | + | 7.71340i | −0.417942 | + | 0.398318i | ||||
\(376\) | 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 | \(0.530363\pi\) | |||||||
\(380\) | 6.82481 | − | 6.71632i | 0.350105 | − | 0.344540i | ||||
\(381\) | −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 | −0.814071 | − | 0.580766i | \(-0.802753\pi\) |
0.803903 | + | 0.594761i | \(0.202753\pi\) | |||||||
\(384\) | 0.309017 | − | 0.951057i | 0.0157695 | − | 0.0485334i | ||||
\(385\) | 6.67304 | − | 3.33301i | 0.340089 | − | 0.169866i | ||||
\(386\) | −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 | \(0.343783\pi\) | |||||||
\(390\) | 0.764093 | − | 0.381644i | 0.0386913 | − | 0.0193253i | ||||
\(391\) | 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 | ||||
\(395\) | 7.91444 | − | 7.78862i | 0.398219 | − | 0.391888i | ||||
\(396\) | 1.74861 | + | 1.27044i | 0.0878708 | + | 0.0638418i | ||||
\(397\) | 13.5456i | 0.679833i | 0.940456 | + | 0.339917i | \(0.110399\pi\) | ||||
−0.940456 | + | 0.339917i | \(0.889601\pi\) | |||||||
\(398\) | 3.96074i | 0.198534i | ||||||||
\(399\) | 5.34680 | + | 3.88468i | 0.267675 | + | 0.194477i | ||||
\(400\) | 2.87373 | + | 4.09166i | 0.143687 | + | 0.204583i | ||||
\(401\) | 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 | ||||||||
\(405\) | 0.367482 | − | 2.20566i | 0.0182603 | − | 0.109600i | ||||
\(406\) | 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 | \(0.547113\pi\) | |||||||
\(410\) | 1.95932 | − | 3.77039i | 0.0967639 | − | 0.186206i | ||||
\(411\) | −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 | ||||
\(415\) | −3.65833 | − | 0.609508i | −0.179581 | − | 0.0299196i | ||||
\(416\) | −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 | \(-0.292597\pi\) | |||||||
\(420\) | −2.45974 | + | 2.42064i | −0.120023 | + | 0.118115i | ||||
\(421\) | −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 | ||||
\(425\) | 4.34415 | + | 3.26383i | 0.210722 | + | 0.158319i | ||||
\(426\) | 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 | ||||||||
\(430\) | −15.3858 | − | 7.99539i | −0.741971 | − | 0.385572i | ||||
\(431\) | 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 | \(-0.827420\pi\) | ||
0.856587 | − | 0.516002i | \(-0.172580\pi\) | |||||||
\(434\) | 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 | 0.899021 | − | 0.437906i | \(-0.144280\pi\) |
−0.694286 | + | 0.719699i | \(0.744280\pi\) | |||||||
\(444\) | 1.14483 | − | 3.52343i | 0.0543314 | − | 0.167215i | ||||
\(445\) | −0.838384 | − | 0.435674i | −0.0397432 | − | 0.0206529i | ||||
\(446\) | −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 | \(0.790165\pi\) | |||||||
\(450\) | 4.09166 | − | 2.87373i | 0.192883 | − | 0.135469i | ||||
\(451\) | 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 | ||||
\(455\) | −0.216635 | + | 1.30027i | −0.0101560 | + | 0.0609574i | ||||
\(456\) | −3.46439 | + | 2.51702i | −0.162235 | + | 0.117870i | ||||
\(457\) | 16.6365 | + | 22.8981i | 0.778221 | + | 1.07113i | 0.995476 | + | 0.0950141i | \(0.0302896\pi\) |
−0.217255 | + | 0.976115i | \(0.569710\pi\) | |||||||
\(458\) | −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 | −0.449806 | − | 0.893126i | \(-0.648507\pi\) |
−0.888867 | + | 0.458165i | \(0.848507\pi\) | |||||||
\(464\) | −4.26114 | −0.197819 | ||||||||
\(465\) | −11.9665 | + | 3.43556i | −0.554933 | + | 0.159320i | ||||
\(466\) | 15.6850 | 0.726594 | ||||||||
\(467\) | −1.96730 | − | 0.639214i | −0.0910357 | − | 0.0295793i | 0.263145 | − | 0.964756i | \(-0.415240\pi\) |
−0.354181 | + | 0.935177i | \(0.615240\pi\) | |||||||
\(468\) | −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 | ||||
\(475\) | 0.343083 | − | 21.4083i | 0.0157417 | − | 0.982282i | ||||
\(476\) | 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 | \(0.541480\pi\) | |||||||
\(480\) | −0.999158 | − | 2.00042i | −0.0456051 | − | 0.0913063i | ||||
\(481\) | −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 | ||||
\(485\) | −14.3617 | + | 27.6368i | −0.652133 | + | 1.25492i | ||||
\(486\) | −0.309017 | + | 0.951057i | −0.0140173 | + | 0.0431408i | ||||
\(487\) | −25.0188 | − | 34.4354i | −1.13371 | − | 1.56042i | −0.780823 | − | 0.624752i | \(-0.785200\pi\) |
−0.352887 | − | 0.935666i | \(-0.614800\pi\) | |||||||
\(488\) | −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 | \(0.812815\pi\) | |||||||
\(500\) | 10.9975 | + | 2.01389i | 0.491822 | + | 0.0900637i | ||||
\(501\) | 4.91788 | 0.219715 | ||||||||
\(502\) | 1.91230i | 0.0853503i | ||||||||
\(503\) | 9.18621 | − | 12.6437i | 0.409593 | − | 0.563756i | −0.553526 | − | 0.832832i | \(-0.686718\pi\) |
0.963119 | + | 0.269076i | \(0.0867181\pi\) | |||||||
\(504\) | 1.24861 | − | 0.907165i | 0.0556173 | − | 0.0404084i | ||||
\(505\) | −1.23673 | + | 1.21707i | −0.0550337 | + | 0.0541588i | ||||
\(506\) | 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 | \(0.743201\pi\) | |||||||
\(510\) | −1.70444 | − | 1.73197i | −0.0754738 | − | 0.0766930i | ||||
\(511\) | 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 | ||||
\(515\) | −37.3146 | − | 6.21692i | −1.64428 | − | 0.273950i | ||||
\(516\) | 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 | ||||
\(520\) | −0.757879 | − | 0.393839i | −0.0332352 | − | 0.0172710i | ||||
\(521\) | 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 | −0.968792 | − | 0.247875i | \(-0.920268\pi\) |
0.535116 | + | 0.844778i | \(0.320268\pi\) | |||||||
\(524\) | 0.218440 | + | 0.672290i | 0.00954261 | + | 0.0293691i | ||||
\(525\) | −0.123651 | + | 7.71582i | −0.00539658 | + | 0.336746i | ||||
\(526\) | 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 | ||||
\(530\) | 5.91477 | + | 11.8420i | 0.256921 | + | 0.514383i | ||||
\(531\) | 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 | ||||
\(535\) | −1.41491 | − | 1.43777i | −0.0611719 | − | 0.0621601i | ||||
\(536\) | 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 | ||||
\(540\) | −2.00042 | + | 0.999158i | −0.0860844 | + | 0.0429969i | ||||
\(541\) | 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 | ||||
\(545\) | −13.9851 | − | 27.9997i | −0.599057 | − | 1.19937i | ||||
\(546\) | 0.182169 | − | 0.560659i | 0.00779612 | − | 0.0239940i | ||||
\(547\) | −16.5742 | + | 22.8124i | −0.708662 | + | 0.975389i | 0.291163 | + | 0.956673i | \(0.405958\pi\) |
−0.999825 | + | 0.0187156i | \(0.994042\pi\) | |||||||
\(548\) | 18.0471 | + | 5.86385i | 0.770933 | + | 0.250491i | ||||
\(549\) | −4.02352 | + | 2.92326i | −0.171720 | + | 0.124762i | ||||
\(550\) | 8.64012 | + | 6.49146i | 0.368416 | + | 0.276797i | ||||
\(551\) | 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 | ||||
\(555\) | −3.70164 | − | 7.41107i | −0.157126 | − | 0.314583i | ||||
\(556\) | 3.32758 | − | 10.2412i | 0.141121 | − | 0.434325i | ||||
\(557\) | − | 26.1159i | − | 1.10657i | −0.832993 | − | 0.553283i | \(-0.813375\pi\) | ||
0.832993 | − | 0.553283i | \(-0.186625\pi\) | |||||||
\(558\) | 5.52041 | − | 0.724595i | 0.233698 | − | 0.0306745i | ||||
\(559\) | 2.96190 | 0.125275 | ||||||||
\(560\) | 3.40414 | + | 0.567157i | 0.143851 | + | 0.0239668i | ||||
\(561\) | −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 | \(0.00428979\pi\) | ||||
−0.999909 | + | 0.0134764i | \(0.995710\pi\) | |||||||
\(564\) | −9.47861 | −0.399122 | ||||||||
\(565\) | −4.20033 | + | 8.08285i | −0.176709 | + | 0.340048i | ||||
\(566\) | −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 | \(0.627819\pi\) | |||||||
\(570\) | −1.57364 | + | 9.44514i | −0.0659124 | + | 0.395613i | ||||
\(571\) | 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 | ||||
\(575\) | −17.8772 | − | 13.4315i | −0.745533 | − | 0.560131i | ||||
\(576\) | 0.309017 | + | 0.951057i | 0.0128757 | + | 0.0396274i | ||||
\(577\) | 32.0347 | + | 10.4087i | 1.33362 | + | 0.433321i | 0.887152 | − | 0.461477i | \(-0.152680\pi\) |
0.446471 | + | 0.894798i | \(0.352680\pi\) | |||||||
\(578\) | 9.29819 | − | 12.7979i | 0.386754 | − | 0.532321i | ||||
\(579\) | 3.41142 | − | 10.4993i | 0.141774 | − | 0.436335i | ||||
\(580\) | −6.79123 | + | 6.68326i | −0.281990 | + | 0.277507i | ||||
\(581\) | −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 | ||||||||
\(585\) | −0.393839 | + | 0.757879i | −0.0162832 | + | 0.0313345i | ||||
\(586\) | −1.37107 | − | 4.21972i | −0.0566384 | − | 0.174315i | ||||
\(587\) | −25.8363 | − | 8.39473i | −1.06638 | − | 0.346488i | −0.277303 | − | 0.960783i | \(-0.589441\pi\) |
−0.789077 | + | 0.614295i | \(0.789441\pi\) | |||||||
\(588\) | − | 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 | \(0.501110\pi\) |
−0.949973 | + | 0.312332i | \(0.898890\pi\) | |||||||
\(594\) | −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 | \(-0.151972\pi\) | |||||||
\(600\) | −4.72991 | − | 1.62108i | −0.193098 | − | 0.0661805i | ||||
\(601\) | 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 | ||||
\(605\) | −6.32304 | − | 12.6594i | −0.257068 | − | 0.514678i | ||||
\(606\) | 0.627784 | − | 0.456112i | 0.0255020 | − | 0.0185283i | ||||
\(607\) | 35.3225 | − | 11.4770i | 1.43370 | − | 0.465836i | 0.513769 | − | 0.857928i | \(-0.328249\pi\) |
0.919926 | + | 0.392093i | \(0.128249\pi\) | |||||||
\(608\) | 4.07263 | + | 1.32328i | 0.165167 | + | 0.0536660i | ||||
\(609\) | −5.32049 | − | 3.86556i | −0.215597 | − | 0.156640i | ||||
\(610\) | −10.9695 | − | 1.82762i | −0.444144 | − | 0.0739980i | ||||
\(611\) | −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 | −0.847019 | − | 0.531563i | \(-0.821605\pi\) |
0.767290 | + | 0.641300i | \(0.221605\pi\) | |||||||
\(614\) | 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 | −0.325855 | − | 0.945420i | \(-0.605652\pi\) |
0.292082 | + | 0.956393i | \(0.405652\pi\) | |||||||
\(618\) | 16.0896 | + | 5.22783i | 0.647219 | + | 0.210294i | ||||
\(619\) | 7.56844 | 0.304201 | 0.152101 | − | 0.988365i | \(-0.451396\pi\) | ||||
0.152101 | + | 0.988365i | \(0.451396\pi\) | |||||||
\(620\) | 9.81315 | + | 7.66172i | 0.394106 | + | 0.307702i | ||||
\(621\) | 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 | ||||
\(630\) | 0.567157 | − | 3.40414i | 0.0225961 | − | 0.135624i | ||||
\(631\) | 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 | ||||
\(635\) | 0.664880 | − | 0.332090i | 0.0263850 | − | 0.0131786i | ||||
\(636\) | −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 | ||||
\(640\) | −1.03108 | + | 1.98415i | −0.0407572 | + | 0.0784306i | ||||
\(641\) | −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 | \(0.0132416\pi\) |
−0.269197 | + | 0.963085i | \(0.586758\pi\) | |||||||
\(644\) | −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 | −0.437121 | − | 0.899403i | \(-0.644002\pi\) |
0.990461 | + | 0.137796i | \(0.0440017\pi\) | |||||||
\(648\) | 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 | 0.857623 | − | 0.514279i | \(-0.171941\pi\) |
0.391546 | + | 0.920159i | \(0.371941\pi\) | |||||||
\(654\) | 4.32528 | + | 13.3118i | 0.169132 | + | 0.520534i | ||||
\(655\) | 1.40257 | + | 0.728860i | 0.0548031 | + | 0.0284789i | ||||
\(656\) | 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 | \(0.581775\pi\) | |||||||
\(660\) | −3.38998 | − | 3.44474i | −0.131955 | − | 0.134086i | ||||
\(661\) | 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 | ||||
\(665\) | −10.3657 | − | 10.5332i | −0.401965 | − | 0.408458i | ||||
\(666\) | 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 | ||||
\(670\) | 0.809184 | − | 4.85681i | 0.0312615 | − | 0.187635i | ||||
\(671\) | −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 | 0.562089 | − | 0.827077i | \(-0.309998\pi\) |
−0.960292 | + | 0.278998i | \(0.909998\pi\) | |||||||
\(674\) | 13.3839 | − | 9.72394i | 0.515527 | − | 0.374552i | ||||
\(675\) | −1.62108 | + | 4.72991i | −0.0623955 | + | 0.182054i | ||||
\(676\) | −12.8541 | −0.494389 | ||||||||
\(677\) | 48.5416i | 1.86560i | 0.360389 | + | 0.932802i | \(0.382644\pi\) | ||||
−0.360389 | + | 0.932802i | \(0.617356\pi\) | |||||||
\(678\) | 2.39446 | − | 3.29569i | 0.0919587 | − | 0.126570i | ||||
\(679\) | 6.64298 | + | 20.4450i | 0.254934 | + | 0.784607i | ||||
\(680\) | −0.399351 | + | 2.39695i | −0.0153144 | + | 0.0919188i | ||||
\(681\) | 1.47827 | 0.0566474 | ||||||||
\(682\) | 5.17661 | + | 10.8639i | 0.198223 | + | 0.415998i | ||||
\(683\) | 36.3529i | 1.39101i | 0.718523 | + | 0.695503i | \(0.244818\pi\) | ||||
−0.718523 | + | 0.695503i | \(0.755182\pi\) | |||||||
\(684\) | 1.32328 | − | 4.07263i | 0.0505968 | − | 0.155721i | ||||
\(685\) | 37.9596 | − | 18.9599i | 1.45036 | − | 0.724419i | ||||
\(686\) | 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 | ||||
\(690\) | 7.01419 | + | 7.12749i | 0.267026 | + | 0.271339i | ||||
\(691\) | 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 | ||||
\(695\) | −10.7592 | − | 21.5411i | −0.408120 | − | 0.817100i | ||||
\(696\) | 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 | ||||
\(700\) | 6.31491 | − | 4.43521i | 0.238681 | − | 0.167635i | ||||
\(701\) | −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 | ||||
\(705\) | −15.1066 | + | 14.8664i | −0.568947 | + | 0.559903i | ||||
\(706\) | 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 | \(-0.679867\pi\) | |||||||
\(710\) | −10.6739 | + | 5.33132i | −0.400583 | + | 0.200081i | ||||
\(711\) | 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 | ||||||||
\(715\) | −1.82095 | − | 0.303386i | −0.0680998 | − | 0.0113460i | ||||
\(716\) | −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 | \(0.795745\pi\) | |||||||
\(720\) | 1.98415 | + | 1.03108i | 0.0739450 | + | 0.0384262i | ||||
\(721\) | −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 | ||||
\(725\) | −0.341394 | + | 21.3030i | −0.0126791 | + | 0.791173i | ||||
\(726\) | 1.95557 | + | 6.01864i | 0.0725781 | + | 0.223373i | ||||
\(727\) | −2.54743 | − | 3.50623i | −0.0944789 | − | 0.130039i | 0.759161 | − | 0.650903i | \(-0.225610\pi\) |
−0.853639 | + | 0.520864i | \(0.825610\pi\) | |||||||
\(728\) | −0.560659 | + | 0.182169i | −0.0207794 | + | 0.00675164i | ||||
\(729\) | −0.309017 | − | 0.951057i | −0.0114451 | − | 0.0352243i | ||||
\(730\) | −10.4877 | + | 10.3210i | −0.388167 | + | 0.381996i | ||||
\(731\) | −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 | −0.654856 | − | 0.755753i | \(-0.727271\pi\) |
0.921126 | + | 0.389265i | \(0.127271\pi\) | |||||||
\(734\) | 1.79919 | − | 5.53733i | 0.0664092 | − | 0.204387i | ||||
\(735\) | −7.24302 | − | 7.36002i | −0.267163 | − | 0.271478i | ||||
\(736\) | 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 | \(0.219689\pi\) | |||||||
\(740\) | −3.81992 | + | 7.35081i | −0.140423 | + | 0.270221i | ||||
\(741\) | −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 | \(-0.786545\pi\) | ||
0.783456 | − | 0.621447i | \(-0.213455\pi\) | |||||||
\(744\) | −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 | ||||
\(755\) | −35.8457 | − | 18.6276i | −1.30456 | − | 0.677926i | ||||
\(756\) | −0.476925 | + | 1.46782i | −0.0173456 | + | 0.0533843i | ||||
\(757\) | 38.4509 | − | 12.4935i | 1.39752 | − | 0.454082i | 0.489133 | − | 0.872209i | \(-0.337313\pi\) |
0.908389 | + | 0.418127i | \(0.137313\pi\) | |||||||
\(758\) | 11.6274 | + | 16.0037i | 0.422326 | + | 0.581282i | ||||
\(759\) | 2.98698 | + | 9.19297i | 0.108420 | + | 0.333684i | ||||
\(760\) | 8.56624 | − | 4.27861i | 0.310730 | − | 0.155202i | ||||
\(761\) | 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 | ||||
\(765\) | 2.39695 | + | 0.399351i | 0.0866619 | + | 0.0144386i | ||||
\(766\) | −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 | −0.168946 | − | 0.985625i | \(-0.554036\pi\) |
−0.716016 | + | 0.698083i | \(0.754036\pi\) | |||||||
\(774\) | −7.75435 | −0.278724 | ||||||||
\(775\) | 27.6566 | − | 3.18022i | 0.993454 | − | 0.114237i | ||||
\(776\) | −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 | ||||
\(785\) | 15.5004 | + | 2.58250i | 0.553234 | + | 0.0921733i | ||||
\(786\) | −0.571884 | − | 0.415498i | −0.0203984 | − | 0.0148203i | ||||
\(787\) | 27.1539 | + | 8.82285i | 0.967933 | + | 0.314501i | 0.749981 | − | 0.661459i | \(-0.230062\pi\) |
0.217952 | + | 0.975960i | \(0.430062\pi\) | |||||||
\(788\) | −3.67365 | + | 1.19364i | −0.130868 | + | 0.0425217i | ||||
\(789\) | −14.8951 | + | 10.8219i | −0.530281 | + | 0.385271i | ||||
\(790\) | 9.93389 | − | 4.96172i | 0.353432 | − | 0.176530i | ||||
\(791\) | 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 | ||||
\(795\) | −11.7457 | − | 6.10376i | −0.416577 | − | 0.216478i | ||||
\(796\) | −1.22394 | + | 3.76689i | −0.0433813 | + | 0.133514i | ||||
\(797\) | −3.38685 | − | 4.66160i | −0.119969 | − | 0.165122i | 0.744809 | − | 0.667278i | \(-0.232541\pi\) |
−0.864777 | + | 0.502155i | \(0.832541\pi\) | |||||||
\(798\) | 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 | \(0.990524\pi\) | |||||||
\(810\) | 1.03108 | − | 1.98415i | 0.0362286 | − | 0.0697161i | ||||
\(811\) | 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 | ||||
\(815\) | −30.6419 | − | 31.1369i | −1.07334 | − | 1.09068i | ||||
\(816\) | 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 | ||||
\(820\) | 3.02854 | − | 2.98039i | 0.105761 | − | 0.104080i | ||||
\(821\) | −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 | 0.652459 | − | 0.757824i | \(-0.273737\pi\) |
−0.922354 | + | 0.386345i | \(0.873737\pi\) | |||||||
\(824\) | −5.22783 | − | 16.0896i | −0.182120 | − | 0.560508i | ||||
\(825\) | −10.8056 | − | 0.173167i | −0.376202 | − | 0.00602889i | ||||
\(826\) | 4.38169 | + | 3.18348i | 0.152458 | + | 0.110768i | ||||
\(827\) | −19.7216 | − | 6.40792i | −0.685786 | − | 0.222825i | −0.0546590 | − | 0.998505i | \(-0.517407\pi\) |
−0.631127 | + | 0.775680i | \(0.717407\pi\) | |||||||
\(828\) | −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 | \(0.203672\pi\) | |||||||
\(830\) | −3.29093 | − | 1.71016i | −0.114230 | − | 0.0593607i | ||||
\(831\) | −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 | ||||
\(835\) | −10.8472 | − | 1.80723i | −0.375383 | − | 0.0625418i | ||||
\(836\) | 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 | \(-0.0524996\pi\) | |||||||
\(840\) | −3.08737 | + | 1.54206i | −0.106524 | + | 0.0532062i | ||||
\(841\) | 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 | ||||
\(845\) | −20.4863 | + | 20.1606i | −0.704750 | + | 0.693547i | ||||
\(846\) | 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 | ||||
\(850\) | 3.12295 | + | 4.44650i | 0.107116 | + | 0.152514i | ||||
\(851\) | 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 | −0.929923 | − | 0.367755i | \(-0.880127\pi\) |
−0.536162 | + | 0.844115i | \(0.680127\pi\) | |||||||
\(854\) | −6.20976 | + | 4.51165i | −0.212493 | + | 0.154386i | ||||
\(855\) | −4.27861 | − | 8.56624i | −0.146325 | − | 0.292959i | ||||
\(856\) | 0.278772 | − | 0.857971i | 0.00952822 | − | 0.0293249i | ||||
\(857\) | −26.3941 | + | 36.3283i | −0.901604 | + | 1.24095i | 0.0683494 | + | 0.997661i | \(0.478227\pi\) |
−0.969954 | + | 0.243290i | \(0.921773\pi\) | |||||||
\(858\) | 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 | \(0.536267\pi\) | |||||||
\(860\) | −12.1621 | − | 12.3585i | −0.414724 | − | 0.421423i | ||||
\(861\) | 2.37267 | + | 1.72384i | 0.0808602 | + | 0.0587484i | ||||
\(862\) | 15.8051i | 0.538324i | ||||||||
\(863\) | 12.1695i | 0.414256i | 0.978314 | + | 0.207128i | \(0.0664116\pi\) | ||||
−0.978314 | + | 0.207128i | \(0.933588\pi\) | |||||||
\(864\) | −0.809017 | − | 0.587785i | −0.0275233 | − | 0.0199969i | ||||
\(865\) | 8.47586 | − | 4.23347i | 0.288188 | − | 0.143942i | ||||
\(866\) | 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 | ||||||||
\(870\) | 1.56589 | − | 9.39866i | 0.0530887 | − | 0.318644i | ||||
\(871\) | 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 | ||||||||
\(875\) | 3.10816 | − | 16.9731i | 0.105075 | − | 0.573795i | ||||
\(876\) | 5.32373 | − | 3.86791i | 0.179872 | − | 0.130685i | ||||
\(877\) | −10.1133 | − | 13.9198i | −0.341502 | − | 0.470037i | 0.603378 | − | 0.797456i | \(-0.293821\pi\) |
−0.944879 | + | 0.327419i | \(0.893821\pi\) | |||||||
\(878\) | 30.5337 | + | 9.92099i | 1.03046 | + | 0.334817i | ||||
\(879\) | 3.58951 | + | 2.60793i | 0.121071 | + | 0.0879634i | ||||
\(880\) | −0.794274 | + | 4.76731i | −0.0267750 | + | 0.160706i | ||||
\(881\) | 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 | −0.148864 | − | 0.988858i | \(-0.547562\pi\) |
0.460802 | + | 0.887503i | \(0.347562\pi\) | |||||||
\(884\) | −0.128270 | − | 0.394776i | −0.00431420 | − | 0.0132777i | ||||
\(885\) | −5.50400 | − | 5.59291i | −0.185015 | − | 0.188004i | ||||
\(886\) | 2.26547 | + | 6.97240i | 0.0761099 | + | 0.234242i | ||||
\(887\) | −16.5248 | − | 5.36922i | −0.554847 | − | 0.180281i | 0.0181542 | − | 0.999835i | \(-0.494221\pi\) |
−0.573001 | + | 0.819554i | \(0.694221\pi\) | |||||||
\(888\) | 2.17760 | − | 2.99721i | 0.0730755 | − | 0.100580i | ||||
\(889\) | 0.158516 | − | 0.487861i | 0.00531644 | − | 0.0163623i | ||||
\(890\) | −0.662720 | − | 0.673426i | −0.0222144 | − | 0.0225733i | ||||
\(891\) | 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 | ||||||||
\(895\) | −6.27463 | − | 3.26067i | −0.209738 | − | 0.108992i | ||||
\(896\) | 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 | 0.985937 | − | 0.167116i | \(-0.0534454\pi\) |
−0.463608 | + | 0.886040i | \(0.653445\pi\) | |||||||
\(908\) | −0.868904 | − | 1.19594i | −0.0288356 | − | 0.0396888i | ||||
\(909\) | −0.239792 | + | 0.738004i | −0.00795340 | + | 0.0244781i | ||||
\(910\) | −0.607836 | + | 1.16968i | −0.0201496 | + | 0.0387746i | ||||
\(911\) | −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 | ||||
\(915\) | 9.94879 | − | 4.96916i | 0.328897 | − | 0.164275i | ||||
\(916\) | −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 | \(0.860835\pi\) | |||||||
\(920\) | 1.64343 | − | 9.86403i | 0.0541822 | − | 0.325208i | ||||
\(921\) | −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 | \(0.453924\pi\) | |||||||
\(930\) | −12.4425 | − | 0.430438i | −0.408004 | − | 0.0141146i | ||||
\(931\) | 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 | −0.754048 | − | 0.656819i | \(-0.771901\pi\) |
0.857686 | + | 0.514174i | \(0.171901\pi\) | |||||||
\(938\) | −1.99755 | − | 2.74939i | −0.0652223 | − | 0.0897709i | ||||
\(939\) | 10.0656 | − | 7.31310i | 0.328479 | − | 0.238654i | ||||
\(940\) | 20.9066 | + | 3.48322i | 0.681899 | + | 0.113610i | ||||
\(941\) | 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 | ||||
\(945\) | 1.54206 | + | 3.08737i | 0.0501633 | + | 0.100432i | ||||
\(946\) | −5.17920 | − | 15.9399i | −0.168390 | − | 0.518252i | ||||
\(947\) | 4.66622 | + | 6.42251i | 0.151632 | + | 0.208703i | 0.878075 | − | 0.478523i | \(-0.158828\pi\) |
−0.726443 | + | 0.687227i | \(0.758828\pi\) | |||||||
\(948\) | −4.72285 | + | 1.53455i | −0.153391 | + | 0.0498398i | ||||
\(949\) | 0.776721 | − | 2.39050i | 0.0252134 | − | 0.0775990i | ||||
\(950\) | 6.94183 | − | 20.2545i | 0.225223 | − | 0.657144i | ||||
\(951\) | 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 | \(-0.898429\pi\) |
−0.00493387 | − | 0.999988i | \(-0.501571\pi\) | |||||||
\(954\) | 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 | ||||
\(965\) | −11.3828 | + | 21.9043i | −0.366424 | + | 0.705123i | ||||
\(966\) | 6.90212 | 0.222072 | ||||||||
\(967\) | − | 43.3024i | − | 1.39251i | −0.717794 | − | 0.696256i | \(-0.754848\pi\) | ||
0.717794 | − | 0.696256i | \(-0.245152\pi\) | |||||||
\(968\) | 3.71972 | − | 5.11976i | 0.119556 | − | 0.164555i | ||||
\(969\) | −3.76483 | + | 2.73531i | −0.120944 | + | 0.0878708i | ||||
\(970\) | −22.1991 | + | 21.8462i | −0.712769 | + | 0.701438i | ||||
\(971\) | 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 | ||||
\(975\) | 1.14718 | − | 1.52690i | 0.0367393 | − | 0.0488999i | ||||
\(976\) | −1.53685 | − | 4.72994i | −0.0491934 | − | 0.151402i | ||||
\(977\) | 9.52121 | − | 3.09363i | 0.304611 | − | 0.0989740i | −0.152723 | − | 0.988269i | \(-0.548804\pi\) |
0.457334 | + | 0.889295i | \(0.348804\pi\) | |||||||
\(978\) | 11.4835 | + | 15.8056i | 0.367200 | + | 0.505408i | ||||
\(979\) | −0.282218 | − | 0.868577i | −0.00901972 | − | 0.0277598i | ||||
\(980\) | −1.69704 | + | 10.1858i | −0.0542101 | + | 0.325375i | ||||
\(981\) | −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 | 0.804740 | − | 0.593628i | \(-0.202305\pi\) |
−0.813252 | + | 0.581912i | \(0.802305\pi\) | |||||||
\(984\) | −1.53734 | + | 1.11694i | −0.0490085 | + | 0.0356067i | ||||
\(985\) | −3.98278 | + | 7.66421i | −0.126902 | + | 0.244202i | ||||
\(986\) | −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 | ||||
\(990\) | 4.76731 | + | 0.794274i | 0.151515 | + | 0.0252437i | ||||
\(991\) | 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 | ||||
\(995\) | 3.95741 | + | 7.92315i | 0.125458 | + | 0.251181i | ||||
\(996\) | 1.34184 | + | 0.974905i | 0.0425179 | + | 0.0308911i | ||||
\(997\) | − | 4.24883i | − | 0.134562i | −0.997734 | − | 0.0672810i | \(-0.978568\pi\) | ||
0.997734 | − | 0.0672810i | \(-0.0214324\pi\) | |||||||
\(998\) | 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.349.4 | yes | 16 | |
5.4 | even | 2 | inner | 930.2.z.b.349.2 | ✓ | 16 | |
31.4 | even | 5 | inner | 930.2.z.b.469.2 | yes | 16 | |
155.4 | even | 10 | inner | 930.2.z.b.469.4 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.z.b.349.2 | ✓ | 16 | 5.4 | even | 2 | inner | |
930.2.z.b.349.4 | yes | 16 | 1.1 | even | 1 | trivial | |
930.2.z.b.469.2 | yes | 16 | 31.4 | even | 5 | inner | |
930.2.z.b.469.4 | yes | 16 | 155.4 | even | 10 | inner |